From f2f02b52a177507fc8878c5cfc1c7eeb6e6d4d27 Mon Sep 17 00:00:00 2001 From: Saul Shanabrook Date: Sat, 4 Apr 2026 11:08:17 -0700 Subject: [PATCH 1/4] Current state of the art --- AGENTS.md | 3 + Cargo.lock | 716 ++-- Cargo.toml | 30 +- docs/explanation/2026_02_containers.ipynb | 3127 +++++++++++++++++ docs/reference/python-integration.md | 10 + pyproject.toml | 12 +- python/egglog/bindings.pyi | 2 + python/egglog/builtins.py | 9 + python/egglog/declarations.py | 2 + python/egglog/egraph.py | 24 +- python/egglog/egraph_state.py | 18 +- python/egglog/exp/param_eq/Makefile | 54 + python/egglog/exp/param_eq/README.md | 135 + python/egglog/exp/param_eq/__init__.py | 1 + python/egglog/exp/param_eq/__main__.py | 9 + .../param_eq/artifacts/egglog_paper_rows.csv | 342 ++ .../artifacts/egglog_paper_rows.csv.partial | 60 + .../param_eq/artifacts/haskell_paper_rows.csv | 421 +++ .../artifacts/pagie_runtime_scatter.csv | 214 ++ .../exp/param_eq/generate_haskell_golden.py | 439 +++ .../egglog/exp/param_eq/haskell_golden.json | 1811 ++++++++++ python/egglog/exp/param_eq/inspect_case.py | 158 + .../egglog/exp/param_eq/normalize_archives.py | 158 + python/egglog/exp/param_eq/paths.py | 30 + python/egglog/exp/param_eq/pipeline.py | 1394 ++++++++ python/egglog/exp/param_eq/replication.ipynb | 2250 ++++++++++++ python/egglog/exp/param_eq/replication.py | 919 +++++ .../egglog/exp/param_eq/replication_status.md | 176 + .../egglog/exp/param_eq/run_egglog_corpus.py | 191 + python/egglog/exp/param_eq/test_pipeline.py | 258 ++ .../exp/param_eq/test_replication_notebook.py | 18 + python/egglog/pretty.py | 11 +- python/tests/test_high_level.py | 83 +- python/tests/test_pretty.py | 12 + src/conversions.rs | 3 + uv.lock | 60 + 36 files changed, 12790 insertions(+), 370 deletions(-) create mode 100644 docs/explanation/2026_02_containers.ipynb create mode 100644 python/egglog/exp/param_eq/Makefile create mode 100644 python/egglog/exp/param_eq/README.md create mode 100644 python/egglog/exp/param_eq/__init__.py create mode 100644 python/egglog/exp/param_eq/__main__.py create mode 100644 python/egglog/exp/param_eq/artifacts/egglog_paper_rows.csv create mode 100644 python/egglog/exp/param_eq/artifacts/egglog_paper_rows.csv.partial create mode 100644 python/egglog/exp/param_eq/artifacts/haskell_paper_rows.csv create mode 100644 python/egglog/exp/param_eq/artifacts/pagie_runtime_scatter.csv create mode 100644 python/egglog/exp/param_eq/generate_haskell_golden.py create mode 100644 python/egglog/exp/param_eq/haskell_golden.json create mode 100644 python/egglog/exp/param_eq/inspect_case.py create mode 100644 python/egglog/exp/param_eq/normalize_archives.py create mode 100644 python/egglog/exp/param_eq/paths.py create mode 100644 python/egglog/exp/param_eq/pipeline.py create mode 100644 python/egglog/exp/param_eq/replication.ipynb create mode 100644 python/egglog/exp/param_eq/replication.py create mode 100644 python/egglog/exp/param_eq/replication_status.md create mode 100644 python/egglog/exp/param_eq/run_egglog_corpus.py create mode 100644 python/egglog/exp/param_eq/test_pipeline.py create mode 100644 python/egglog/exp/param_eq/test_replication_notebook.py diff --git a/AGENTS.md b/AGENTS.md index f8828ade..6aecc350 100644 --- a/AGENTS.md +++ b/AGENTS.md @@ -19,6 +19,9 @@ - Use the Context7 MCP server for egglog documentation instead of copying external doc summaries into this file. - Keep general workflows in the how-to guides, and keep Python-specific runtime/reference examples in `docs/reference/python-integration.md`. +- Before changing Python-facing `egglog` APIs or expression-inspection patterns, read `docs/reference/python-integration.md`. +- Before changing how egglog concepts map into Python declarations, relations, actions, or sort/function definitions, read `docs/reference/egglog-translation.md`. +- If a change touches both local Python ergonomics and egglog-language mapping, read `docs/reference/python-integration.md` first, then `docs/reference/egglog-translation.md`. - If a PR adds or updates a changelog entry in `docs/changelog.md`, keep it aligned with the final code changes. - For a clean docs rebuild, clear `docs/_build/`; the MyST-NB execution cache lives in `docs/_build/.jupyter_cache`. diff --git a/Cargo.lock b/Cargo.lock index fc8d1c58..1f6a1557 100644 --- a/Cargo.lock +++ b/Cargo.lock @@ -4,9 +4,9 @@ version = 4 [[package]] name = "aho-corasick" -version = "1.1.3" +version = "1.1.4" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "8e60d3430d3a69478ad0993f19238d2df97c507009a52b3c10addcd7f6bcb916" +checksum = "ddd31a130427c27518df266943a5308ed92d4b226cc639f5a8f1002816174301" dependencies = [ "memchr", ] @@ -19,9 +19,9 @@ checksum = "683d7910e743518b0e34f1186f92494becacb047c7b6bf616c96772180fef923" [[package]] name = "anstream" -version = "0.6.21" +version = "1.0.0" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "43d5b281e737544384e969a5ccad3f1cdd24b48086a0fc1b2a5262a26b8f4f4a" +checksum = "824a212faf96e9acacdbd09febd34438f8f711fb84e09a8916013cd7815ca28d" dependencies = [ "anstyle", "anstyle-parse", @@ -34,50 +34,53 @@ dependencies = [ [[package]] name = "anstyle" -version = "1.0.13" +version = "1.0.14" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "5192cca8006f1fd4f7237516f40fa183bb07f8fbdfedaa0036de5ea9b0b45e78" +checksum = "940b3a0ca603d1eade50a4846a2afffd5ef57a9feac2c0e2ec2e14f9ead76000" [[package]] name = "anstyle-parse" -version = "0.2.7" +version = "1.0.0" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "4e7644824f0aa2c7b9384579234ef10eb7efb6a0deb83f9630a49594dd9c15c2" +checksum = "52ce7f38b242319f7cabaa6813055467063ecdc9d355bbb4ce0c68908cd8130e" dependencies = [ "utf8parse", ] [[package]] name = "anstyle-query" -version = "1.1.4" +version = "1.1.5" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "9e231f6134f61b71076a3eab506c379d4f36122f2af15a9ff04415ea4c3339e2" +checksum = "40c48f72fd53cd289104fc64099abca73db4166ad86ea0b4341abe65af83dadc" dependencies = [ - "windows-sys 0.60.2", + "windows-sys", ] [[package]] name = "anstyle-wincon" -version = "3.0.10" +version = "3.0.11" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "3e0633414522a32ffaac8ac6cc8f748e090c5717661fddeea04219e2344f5f2a" +checksum = "291e6a250ff86cd4a820112fb8898808a366d8f9f58ce16d1f538353ad55747d" dependencies = [ "anstyle", "once_cell_polyfill", - "windows-sys 0.60.2", + "windows-sys", ] [[package]] name = "anyhow" -version = "1.0.100" +version = "1.0.102" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "a23eb6b1614318a8071c9b2521f36b424b2c83db5eb3a0fead4a6c0809af6e61" +checksum = "7f202df86484c868dbad7eaa557ef785d5c66295e41b460ef922eca0723b842c" [[package]] name = "arc-swap" -version = "1.7.1" +version = "1.9.1" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "69f7f8c3906b62b754cd5326047894316021dcfe5a194c8ea52bdd94934a3457" +checksum = "6a3a1fd6f75306b68087b831f025c712524bcb19aad54e557b1129cfa0a2b207" +dependencies = [ + "rustversion", +] [[package]] name = "async-trait" @@ -87,7 +90,7 @@ checksum = "9035ad2d096bed7955a320ee7e2230574d28fd3c3a0f186cbea1ff3c7eed5dbb" dependencies = [ "proc-macro2", "quote", - "syn 2.0.107", + "syn 2.0.117", ] [[package]] @@ -110,9 +113,9 @@ checksum = "72b3254f16251a8381aa12e40e3c4d2f0199f8c6508fbecb9d91f575e0fbb8c6" [[package]] name = "bitflags" -version = "2.9.4" +version = "2.11.0" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "2261d10cca569e4643e526d8dc2e62e433cc8aba21ab764233731f8d369bf394" +checksum = "843867be96c8daad0d758b57df9392b6d8d271134fce549de6ce169ff98a92af" [[package]] name = "bitmaps" @@ -134,9 +137,9 @@ dependencies = [ [[package]] name = "bumpalo" -version = "3.19.0" +version = "3.20.2" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "46c5e41b57b8bba42a04676d81cb89e9ee8e859a1a66f80a5a72e1cb76b34d43" +checksum = "5d20789868f4b01b2f2caec9f5c4e0213b41e3e5702a50157d699ae31ced2fcb" [[package]] name = "bytes" @@ -161,9 +164,9 @@ dependencies = [ [[package]] name = "clap" -version = "4.5.51" +version = "4.6.0" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "4c26d721170e0295f191a69bd9a1f93efcdb0aff38684b61ab5750468972e5f5" +checksum = "b193af5b67834b676abd72466a96c1024e6a6ad978a1f484bd90b85c94041351" dependencies = [ "clap_builder", "clap_derive", @@ -171,9 +174,9 @@ dependencies = [ [[package]] name = "clap_builder" -version = "4.5.51" +version = "4.6.0" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "75835f0c7bf681bfd05abe44e965760fea999a5286c6eb2d59883634fd02011a" +checksum = "714a53001bf66416adb0e2ef5ac857140e7dc3a0c48fb28b2f10762fc4b5069f" dependencies = [ "anstream", "anstyle", @@ -183,27 +186,27 @@ dependencies = [ [[package]] name = "clap_derive" -version = "4.5.49" +version = "4.6.0" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "2a0b5487afeab2deb2ff4e03a807ad1a03ac532ff5a2cee5d86884440c7f7671" +checksum = "1110bd8a634a1ab8cb04345d8d878267d57c3cf1b38d91b71af6686408bbca6a" dependencies = [ "heck", "proc-macro2", "quote", - "syn 2.0.107", + "syn 2.0.117", ] [[package]] name = "clap_lex" -version = "0.7.6" +version = "1.1.0" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "a1d728cc89cf3aee9ff92b05e62b19ee65a02b5702cff7d5a377e32c6ae29d8d" +checksum = "c8d4a3bb8b1e0c1050499d1815f5ab16d04f0959b233085fb31653fbfc9d98f9" [[package]] name = "colorchoice" -version = "1.0.4" +version = "1.0.5" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "b05b61dc5112cbb17e4b6cd61790d9845d13888356391624cbe7e41efeac1e75" +checksum = "1d07550c9036bf2ae0c684c4297d503f838287c83c53686d05370d0e139ae570" [[package]] name = "cpufeatures" @@ -272,9 +275,9 @@ checksum = "d0a5c400df2834b80a4c3327b3aad3a4c4cd4de0629063962b03235697506a28" [[package]] name = "crypto-common" -version = "0.1.6" +version = "0.1.7" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "1bfb12502f3fc46cca1bb51ac28df9d618d813cdc3d2f25b9fe775a34af26bb3" +checksum = "78c8292055d1c1df0cce5d180393dc8cce0abec0a7102adb6c7b1eef6016d60a" dependencies = [ "generic-array", "typenum", @@ -333,7 +336,7 @@ checksum = "97369cbbc041bc366949bc74d34658d6cda5621039731c6310521892a3a20ae0" dependencies = [ "proc-macro2", "quote", - "syn 2.0.107", + "syn 2.0.117", ] [[package]] @@ -360,7 +363,7 @@ checksum = "d0881ea181b1df73ff77ffaaf9c7544ecc11e82fba9b5f27b262a3c73a332555" [[package]] name = "egglog" version = "2.0.0" -source = "git+https://github.com/saulshanabrook/egg-smol.git?branch=fix-container-fn-bug#114692b1812cafa18b118755c2c327f067169f4d" +source = "git+https://github.com/egraphs-good/egglog.git?rev=b5c211b9def133cad9540a11744e8a1e40bd2a29#b5c211b9def133cad9540a11744e8a1e40bd2a29" dependencies = [ "csv", "dyn-clone", @@ -371,7 +374,7 @@ dependencies = [ "egglog-numeric-id", "egglog-reports", "egraph-serialize", - "hashbrown 0.16.0", + "hashbrown 0.16.1", "im-rc", "indexmap", "log", @@ -387,16 +390,16 @@ dependencies = [ [[package]] name = "egglog-add-primitive" version = "2.0.0" -source = "git+https://github.com/saulshanabrook/egg-smol.git?branch=fix-container-fn-bug#114692b1812cafa18b118755c2c327f067169f4d" +source = "git+https://github.com/egraphs-good/egglog.git?rev=b5c211b9def133cad9540a11744e8a1e40bd2a29#b5c211b9def133cad9540a11744e8a1e40bd2a29" dependencies = [ "quote", - "syn 2.0.107", + "syn 2.0.117", ] [[package]] name = "egglog-ast" version = "2.0.0" -source = "git+https://github.com/saulshanabrook/egg-smol.git?branch=fix-container-fn-bug#114692b1812cafa18b118755c2c327f067169f4d" +source = "git+https://github.com/egraphs-good/egglog.git?rev=b5c211b9def133cad9540a11744e8a1e40bd2a29#b5c211b9def133cad9540a11744e8a1e40bd2a29" dependencies = [ "ordered-float", ] @@ -404,7 +407,7 @@ dependencies = [ [[package]] name = "egglog-bridge" version = "2.0.0" -source = "git+https://github.com/saulshanabrook/egg-smol.git?branch=fix-container-fn-bug#114692b1812cafa18b118755c2c327f067169f4d" +source = "git+https://github.com/egraphs-good/egglog.git?rev=b5c211b9def133cad9540a11744e8a1e40bd2a29#b5c211b9def133cad9540a11744e8a1e40bd2a29" dependencies = [ "anyhow", "dyn-clone", @@ -412,7 +415,7 @@ dependencies = [ "egglog-numeric-id", "egglog-reports", "egglog-union-find", - "hashbrown 0.16.0", + "hashbrown 0.16.1", "indexmap", "log", "num-rational", @@ -428,7 +431,7 @@ dependencies = [ [[package]] name = "egglog-concurrency" version = "2.0.0" -source = "git+https://github.com/saulshanabrook/egg-smol.git?branch=fix-container-fn-bug#114692b1812cafa18b118755c2c327f067169f4d" +source = "git+https://github.com/egraphs-good/egglog.git?rev=b5c211b9def133cad9540a11744e8a1e40bd2a29#b5c211b9def133cad9540a11744e8a1e40bd2a29" dependencies = [ "arc-swap", "egglog-numeric-id", @@ -439,7 +442,7 @@ dependencies = [ [[package]] name = "egglog-core-relations" version = "2.0.0" -source = "git+https://github.com/saulshanabrook/egg-smol.git?branch=fix-container-fn-bug#114692b1812cafa18b118755c2c327f067169f4d" +source = "git+https://github.com/egraphs-good/egglog.git?rev=b5c211b9def133cad9540a11744e8a1e40bd2a29#b5c211b9def133cad9540a11744e8a1e40bd2a29" dependencies = [ "anyhow", "bumpalo", @@ -452,7 +455,7 @@ dependencies = [ "egglog-reports", "egglog-union-find", "fixedbitset", - "hashbrown 0.16.0", + "hashbrown 0.16.1", "indexmap", "log", "num", @@ -469,7 +472,7 @@ dependencies = [ [[package]] name = "egglog-experimental" version = "0.1.0" -source = "git+https://github.com/egraphs-good/egglog-experimental?branch=main#eae9570d78105c53497fccdf0ff7fb1937592036" +source = "git+https://github.com/egraphs-good/egglog-experimental.git?rev=fae7440e67497fb7ac56c889dde9eedec17636f9#fae7440e67497fb7ac56c889dde9eedec17636f9" dependencies = [ "egglog", "egglog-ast", @@ -482,7 +485,7 @@ dependencies = [ [[package]] name = "egglog-numeric-id" version = "2.0.0" -source = "git+https://github.com/saulshanabrook/egg-smol.git?branch=fix-container-fn-bug#114692b1812cafa18b118755c2c327f067169f4d" +source = "git+https://github.com/egraphs-good/egglog.git?rev=b5c211b9def133cad9540a11744e8a1e40bd2a29#b5c211b9def133cad9540a11744e8a1e40bd2a29" dependencies = [ "rayon", ] @@ -490,10 +493,10 @@ dependencies = [ [[package]] name = "egglog-reports" version = "2.0.0" -source = "git+https://github.com/saulshanabrook/egg-smol.git?branch=fix-container-fn-bug#114692b1812cafa18b118755c2c327f067169f4d" +source = "git+https://github.com/egraphs-good/egglog.git?rev=b5c211b9def133cad9540a11744e8a1e40bd2a29#b5c211b9def133cad9540a11744e8a1e40bd2a29" dependencies = [ "clap", - "hashbrown 0.16.0", + "hashbrown 0.16.1", "indexmap", "rustc-hash", "serde", @@ -504,7 +507,7 @@ dependencies = [ [[package]] name = "egglog-union-find" version = "2.0.0" -source = "git+https://github.com/saulshanabrook/egg-smol.git?branch=fix-container-fn-bug#114692b1812cafa18b118755c2c327f067169f4d" +source = "git+https://github.com/egraphs-good/egglog.git?rev=b5c211b9def133cad9540a11744e8a1e40bd2a29#b5c211b9def133cad9540a11744e8a1e40bd2a29" dependencies = [ "crossbeam", "egglog-concurrency", @@ -576,14 +579,14 @@ source = "registry+https://github.com/rust-lang/crates.io-index" checksum = "39cab71617ae0d63f51a36d69f866391735b51691dbda63cf6f96d042b63efeb" dependencies = [ "libc", - "windows-sys 0.61.2", + "windows-sys", ] [[package]] name = "fastrand" -version = "2.3.0" +version = "2.4.0" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "37909eebbb50d72f9059c3b6d82c0463f2ff062c9e95845c43a6c9c0355411be" +checksum = "a043dc74da1e37d6afe657061213aa6f425f855399a11d3463c6ecccc4dfda1f" [[package]] name = "fixedbitset" @@ -653,7 +656,7 @@ checksum = "e835b70203e41293343137df5c0664546da5745f82ec9b84d40be8336958447b" dependencies = [ "proc-macro2", "quote", - "syn 2.0.107", + "syn 2.0.117", ] [[package]] @@ -686,9 +689,9 @@ dependencies = [ [[package]] name = "generic-array" -version = "0.14.9" +version = "0.14.7" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "4bb6743198531e02858aeaea5398fcc883e71851fcbcb5a2f773e2fb6cb1edf2" +checksum = "85649ca51fd72272d7821adaf274ad91c288277713d9c18820d8499a7ff69e9a" dependencies = [ "typenum", "version_check", @@ -713,10 +716,23 @@ checksum = "899def5c37c4fd7b2664648c28120ecec138e4d395b459e5ca34f9cce2dd77fd" dependencies = [ "cfg-if", "libc", - "r-efi", + "r-efi 5.3.0", "wasip2", ] +[[package]] +name = "getrandom" +version = "0.4.2" +source = "registry+https://github.com/rust-lang/crates.io-index" +checksum = "0de51e6874e94e7bf76d726fc5d13ba782deca734ff60d5bb2fb2607c7406555" +dependencies = [ + "cfg-if", + "libc", + "r-efi 6.0.0", + "wasip2", + "wasip3", +] + [[package]] name = "glob" version = "0.3.3" @@ -725,9 +741,9 @@ checksum = "0cc23270f6e1808e30a928bdc84dea0b9b4136a8bc82338574f23baf47bbd280" [[package]] name = "graphviz-rust" -version = "0.9.6" +version = "0.9.7" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "db134cb611668917cabf340af9a39518426f9a10827b4cedcb4cdcf84443f6d0" +checksum = "7e3f0630e2e2d6bef34313acf63330e2ce87144f5dfef276abeeef9345dd5bf3" dependencies = [ "dot-generator", "dot-structures", @@ -756,14 +772,15 @@ dependencies = [ [[package]] name = "hashbrown" -version = "0.16.0" +version = "0.16.1" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "5419bdc4f6a9207fbeba6d11b604d481addf78ecd10c11ad51e76c2f6482748d" +checksum = "841d1cc9bed7f9236f321df977030373f4a4163ae1a7dbfe1a51a2c1a51d9100" dependencies = [ "allocator-api2", "equivalent", "foldhash 0.2.0", "serde", + "serde_core", ] [[package]] @@ -813,9 +830,9 @@ checksum = "6dbf3de79e51f3d586ab4cb9d5c3e2c14aa28ed23d180cf89b4df0454a69cc87" [[package]] name = "hyper" -version = "1.8.1" +version = "1.9.0" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "2ab2d4f250c3d7b1c9fcdff1cece94ea4e2dfbec68614f7b87cb205f24ca9d11" +checksum = "6299f016b246a94207e63da54dbe807655bf9e00044f73ded42c3ac5305fbcca" dependencies = [ "atomic-waker", "bytes", @@ -826,7 +843,6 @@ dependencies = [ "httparse", "itoa", "pin-project-lite", - "pin-utils", "smallvec", "tokio", "want", @@ -857,12 +873,13 @@ dependencies = [ [[package]] name = "icu_collections" -version = "2.1.1" +version = "2.2.0" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "4c6b649701667bbe825c3b7e6388cb521c23d88644678e83c0c4d0a621a34b43" +checksum = "2984d1cd16c883d7935b9e07e44071dca8d917fd52ecc02c04d5fa0b5a3f191c" dependencies = [ "displaydoc", "potential_utf", + "utf8_iter", "yoke", "zerofrom", "zerovec", @@ -870,9 +887,9 @@ dependencies = [ [[package]] name = "icu_locale_core" -version = "2.1.1" +version = "2.2.0" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "edba7861004dd3714265b4db54a3c390e880ab658fec5f7db895fae2046b5bb6" +checksum = "92219b62b3e2b4d88ac5119f8904c10f8f61bf7e95b640d25ba3075e6cac2c29" dependencies = [ "displaydoc", "litemap", @@ -883,9 +900,9 @@ dependencies = [ [[package]] name = "icu_normalizer" -version = "2.1.1" +version = "2.2.0" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "5f6c8828b67bf8908d82127b2054ea1b4427ff0230ee9141c54251934ab1b599" +checksum = "c56e5ee99d6e3d33bd91c5d85458b6005a22140021cc324cea84dd0e72cff3b4" dependencies = [ "icu_collections", "icu_normalizer_data", @@ -897,15 +914,15 @@ dependencies = [ [[package]] name = "icu_normalizer_data" -version = "2.1.1" +version = "2.2.0" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "7aedcccd01fc5fe81e6b489c15b247b8b0690feb23304303a9e560f37efc560a" +checksum = "da3be0ae77ea334f4da67c12f149704f19f81d1adf7c51cf482943e84a2bad38" [[package]] name = "icu_properties" -version = "2.1.2" +version = "2.2.0" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "020bfc02fe870ec3a66d93e677ccca0562506e5872c650f893269e08615d74ec" +checksum = "bee3b67d0ea5c2cca5003417989af8996f8604e34fb9ddf96208a033901e70de" dependencies = [ "icu_collections", "icu_locale_core", @@ -917,15 +934,15 @@ dependencies = [ [[package]] name = "icu_properties_data" -version = "2.1.2" +version = "2.2.0" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "616c294cf8d725c6afcd8f55abc17c56464ef6211f9ed59cccffe534129c77af" +checksum = "8e2bbb201e0c04f7b4b3e14382af113e17ba4f63e2c9d2ee626b720cbce54a14" [[package]] name = "icu_provider" -version = "2.1.1" +version = "2.2.0" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "85962cf0ce02e1e0a629cc34e7ca3e373ce20dda4c4d7294bbd0bf1fdb59e614" +checksum = "139c4cf31c8b5f33d7e199446eff9c1e02decfc2f0eec2c8d71f65befa45b421" dependencies = [ "displaydoc", "icu_locale_core", @@ -936,6 +953,12 @@ dependencies = [ "zerovec", ] +[[package]] +name = "id-arena" +version = "2.3.0" +source = "registry+https://github.com/rust-lang/crates.io-index" +checksum = "3d3067d79b975e8844ca9eb072e16b31c3c1c36928edf9c6789548c524d0d954" + [[package]] name = "idna" version = "1.1.0" @@ -973,21 +996,24 @@ dependencies = [ [[package]] name = "indexmap" -version = "2.12.0" +version = "2.13.1" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "6717a8d2a5a929a1a2eb43a12812498ed141a0bcfb7e8f7844fbdbe4303bba9f" +checksum = "45a8a2b9cb3e0b0c1803dbb0758ffac5de2f425b23c28f518faabd9d805342ff" dependencies = [ "equivalent", - "hashbrown 0.16.0", + "hashbrown 0.16.1", "serde", "serde_core", ] [[package]] name = "indoc" -version = "2.0.6" +version = "2.0.7" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "f4c7245a08504955605670dbf141fceab975f15ca21570696aebe9d2e71576bd" +checksum = "79cf5c93f93228cf8efb3ba362535fb11199ac548a09ce117c9b1adc3030d706" +dependencies = [ + "rustversion", +] [[package]] name = "into-attr" @@ -1019,9 +1045,9 @@ checksum = "d98f6fed1fde3f8c21bc40a1abb88dd75e67924f9cffc3ef95607bad8017f8e2" [[package]] name = "iri-string" -version = "0.7.10" +version = "0.7.12" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "c91338f0783edbd6195decb37bae672fd3b165faffb89bf7b9e6942f8b1a731a" +checksum = "25e659a4bb38e810ebc252e53b5814ff908a8c58c2a9ce2fae1bbec24cbf4e20" dependencies = [ "memchr", "serde", @@ -1044,16 +1070,18 @@ dependencies = [ [[package]] name = "itoa" -version = "1.0.15" +version = "1.0.18" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "4a5f13b858c8d314ee3e8f639011f7ccefe71f97f96e50151fb991f267928e2c" +checksum = "8f42a60cbdf9a97f5d2305f08a87dc4e09308d1276d28c869c684d7777685682" [[package]] name = "js-sys" -version = "0.3.81" +version = "0.3.94" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "ec48937a97411dcb524a265206ccd4c90bb711fca92b2792c407f268825b9305" +checksum = "2e04e2ef80ce82e13552136fabeef8a5ed1f985a96805761cbb9a2c34e7664d9" dependencies = [ + "cfg-if", + "futures-util", "once_cell", "wasm-bindgen", ] @@ -1074,23 +1102,29 @@ version = "1.5.0" source = "registry+https://github.com/rust-lang/crates.io-index" checksum = "bbd2bcb4c963f2ddae06a2efc7e9f3591312473c50c6685e1f298068316e66fe" +[[package]] +name = "leb128fmt" +version = "0.1.0" +source = "registry+https://github.com/rust-lang/crates.io-index" +checksum = "09edd9e8b54e49e587e4f6295a7d29c3ea94d469cb40ab8ca70b288248a81db2" + [[package]] name = "libc" -version = "0.2.177" +version = "0.2.184" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "2874a2af47a2325c2001a6e6fad9b16a53b802102b528163885171cf92b15976" +checksum = "48f5d2a454e16a5ea0f4ced81bd44e4cfc7bd3a507b61887c99fd3538b28e4af" [[package]] name = "linux-raw-sys" -version = "0.11.0" +version = "0.12.1" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "df1d3c3b53da64cf5760482273a98e575c651a67eec7f77df96b5b642de8f039" +checksum = "32a66949e030da00e8c7d4434b251670a91556f4144941d37452769c25d58a53" [[package]] name = "litemap" -version = "0.8.1" +version = "0.8.2" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "6373607a59f0be73a39b6fe456b8192fcc3585f602af20751600e974dd455e77" +checksum = "92daf443525c4cce67b150400bc2316076100ce0b3686209eb8cf3c31612e6f0" [[package]] name = "lock_api" @@ -1103,15 +1137,15 @@ dependencies = [ [[package]] name = "log" -version = "0.4.28" +version = "0.4.29" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "34080505efa8e45a4b816c349525ebe327ceaa8559756f0356cba97ef3bf7432" +checksum = "5e5032e24019045c762d3c0f28f5b6b8bbf38563a65908389bf7978758920897" [[package]] name = "memchr" -version = "2.7.6" +version = "2.8.0" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "f52b00d39961fc5b2736ea853c9cc86238e165017a493d1d5c8eac6bdc4cc273" +checksum = "f8ca58f447f06ed17d5fc4043ce1b10dd205e060fb3ce5b979b8ed8e59ff3f79" [[package]] name = "memoffset" @@ -1124,13 +1158,13 @@ dependencies = [ [[package]] name = "mio" -version = "1.1.0" +version = "1.2.0" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "69d83b0086dc8ecf3ce9ae2874b2d1290252e2a30720bea58a5c6639b0092873" +checksum = "50b7e5b27aa02a74bac8c3f23f448f8d87ff11f92d3aac1a6ed369ee08cc56c1" dependencies = [ "libc", "wasi", - "windows-sys 0.61.2", + "windows-sys", ] [[package]] @@ -1139,7 +1173,7 @@ version = "0.50.3" source = "registry+https://github.com/rust-lang/crates.io-index" checksum = "7957b9740744892f114936ab4a57b3f487491bbeafaf8083688b16841a4240e5" dependencies = [ - "windows-sys 0.61.2", + "windows-sys", ] [[package]] @@ -1217,9 +1251,9 @@ dependencies = [ [[package]] name = "once_cell" -version = "1.21.3" +version = "1.21.4" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "42f5e15c9953c5e4ccceeb2e7382a716482c34515315f7b03532b8b4e8393d2d" +checksum = "9f7c3e4beb33f85d45ae3e3a1792185706c8e16d043238c593331cc7cd313b50" [[package]] name = "once_cell_polyfill" @@ -1322,9 +1356,9 @@ dependencies = [ [[package]] name = "ordered-float" -version = "5.1.0" +version = "5.3.0" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "7f4779c6901a562440c3786d08192c6fbda7c1c2060edd10006b05ee35d10f2d" +checksum = "b7d950ca161dc355eaf28f82b11345ed76c6e1f6eb1f4f4479e0323b9e2fbd0e" dependencies = [ "num-traits", "rand 0.8.5", @@ -1352,9 +1386,9 @@ checksum = "9b4f627cb1b25917193a259e49bdad08f671f8d9708acfd5fe0a8c1455d87220" [[package]] name = "pest" -version = "2.8.3" +version = "2.8.6" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "989e7521a040efde50c3ab6bbadafbe15ab6dc042686926be59ac35d74607df4" +checksum = "e0848c601009d37dfa3430c4666e147e49cdcf1b92ecd3e63657d8a5f19da662" dependencies = [ "memchr", "ucd-trie", @@ -1362,9 +1396,9 @@ dependencies = [ [[package]] name = "pest_derive" -version = "2.8.3" +version = "2.8.6" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "187da9a3030dbafabbbfb20cb323b976dc7b7ce91fcd84f2f74d6e31d378e2de" +checksum = "11f486f1ea21e6c10ed15d5a7c77165d0ee443402f0780849d1768e7d9d6fe77" dependencies = [ "pest", "pest_generator", @@ -1372,22 +1406,22 @@ dependencies = [ [[package]] name = "pest_generator" -version = "2.8.3" +version = "2.8.6" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "49b401d98f5757ebe97a26085998d6c0eecec4995cad6ab7fc30ffdf4b052843" +checksum = "8040c4647b13b210a963c1ed407c1ff4fdfa01c31d6d2a098218702e6664f94f" dependencies = [ "pest", "pest_meta", "proc-macro2", "quote", - "syn 2.0.107", + "syn 2.0.117", ] [[package]] name = "pest_meta" -version = "2.8.3" +version = "2.8.6" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "72f27a2cfee9f9039c4d86faa5af122a0ac3851441a34865b8a043b46be0065a" +checksum = "89815c69d36021a140146f26659a81d6c2afa33d216d736dd4be5381a7362220" dependencies = [ "pest", "sha2", @@ -1422,7 +1456,7 @@ checksum = "d9b20ed30f105399776b9c883e68e536ef602a16ae6f596d2c473591d6ad64c6" dependencies = [ "proc-macro2", "quote", - "syn 2.0.107", + "syn 2.0.117", ] [[package]] @@ -1431,23 +1465,17 @@ version = "0.2.17" source = "registry+https://github.com/rust-lang/crates.io-index" checksum = "a89322df9ebe1c1578d689c92318e070967d1042b512afbe49518723f4e6d5cd" -[[package]] -name = "pin-utils" -version = "0.1.0" -source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "8b870d8c151b6f2fb93e84a13146138f05d02ed11c7e7c54f8826aaaf7c9f184" - [[package]] name = "portable-atomic" -version = "1.11.1" +version = "1.13.1" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "f84267b20a16ea918e43c6a88433c2d54fa145c92a811b5b047ccbe153674483" +checksum = "c33a9471896f1c69cecef8d20cbe2f7accd12527ce60845ff44c153bb2a21b49" [[package]] name = "potential_utf" -version = "0.1.4" +version = "0.1.5" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "b73949432f5e2a09657003c25bca5e19a0e9c84f8058ca374f49e0ebe605af77" +checksum = "0103b1cef7ec0cf76490e969665504990193874ea05c85ff9bab8b911d0a0564" dependencies = [ "zerovec", ] @@ -1461,11 +1489,21 @@ dependencies = [ "zerocopy", ] +[[package]] +name = "prettyplease" +version = "0.2.37" +source = "registry+https://github.com/rust-lang/crates.io-index" +checksum = "479ca8adacdd7ce8f1fb39ce9ecccbfe93a3f1344b3d0d97f20bc0196208f62b" +dependencies = [ + "proc-macro2", + "syn 2.0.117", +] + [[package]] name = "proc-macro2" -version = "1.0.101" +version = "1.0.106" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "89ae43fd86e4158d6db51ad8e2b80f313af9cc74f5c0e03ccb87de09998732de" +checksum = "8fd00f0bb2e90d81d1044c2b32617f68fcb9fa3bb7640c23e9c748e53fb30934" dependencies = [ "unicode-ident", ] @@ -1490,14 +1528,14 @@ dependencies = [ "itertools", "proc-macro2", "quote", - "syn 2.0.107", + "syn 2.0.117", ] [[package]] name = "pyo3" -version = "0.27.1" +version = "0.27.2" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "37a6df7eab65fc7bee654a421404947e10a0f7085b6951bf2ea395f4659fb0cf" +checksum = "ab53c047fcd1a1d2a8820fe84f05d6be69e9526be40cb03b73f86b6b03e6d87d" dependencies = [ "indexmap", "indoc", @@ -1516,18 +1554,18 @@ dependencies = [ [[package]] name = "pyo3-build-config" -version = "0.27.1" +version = "0.27.2" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "f77d387774f6f6eec64a004eac0ed525aab7fa1966d94b42f743797b3e395afb" +checksum = "b455933107de8642b4487ed26d912c2d899dec6114884214a0b3bb3be9261ea6" dependencies = [ "target-lexicon", ] [[package]] name = "pyo3-ffi" -version = "0.27.1" +version = "0.27.2" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "2dd13844a4242793e02df3e2ec093f540d948299a6a77ea9ce7afd8623f542be" +checksum = "1c85c9cbfaddf651b1221594209aed57e9e5cff63c4d11d1feead529b872a089" dependencies = [ "libc", "pyo3-build-config", @@ -1535,9 +1573,9 @@ dependencies = [ [[package]] name = "pyo3-log" -version = "0.13.2" +version = "0.13.3" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "2f8bae9ad5ba08b0b0ed2bb9c2bdbaeccc69cafca96d78cf0fbcea0d45d122bb" +checksum = "26c2ec80932c5c3b2d4fbc578c9b56b2d4502098587edb8bef5b6bfcad43682e" dependencies = [ "arc-swap", "log", @@ -1546,34 +1584,34 @@ dependencies = [ [[package]] name = "pyo3-macros" -version = "0.27.1" +version = "0.27.2" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "eaf8f9f1108270b90d3676b8679586385430e5c0bb78bb5f043f95499c821a71" +checksum = "0a5b10c9bf9888125d917fb4d2ca2d25c8df94c7ab5a52e13313a07e050a3b02" dependencies = [ "proc-macro2", "pyo3-macros-backend", "quote", - "syn 2.0.107", + "syn 2.0.117", ] [[package]] name = "pyo3-macros-backend" -version = "0.27.1" +version = "0.27.2" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "70a3b2274450ba5288bc9b8c1b69ff569d1d61189d4bff38f8d22e03d17f932b" +checksum = "03b51720d314836e53327f5871d4c0cfb4fb37cc2c4a11cc71907a86342c40f9" dependencies = [ "heck", "proc-macro2", "pyo3-build-config", "quote", - "syn 2.0.107", + "syn 2.0.117", ] [[package]] name = "quote" -version = "1.0.41" +version = "1.0.45" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "ce25767e7b499d1b604768e7cde645d14cc8584231ea6b295e9c9eb22c02e1d1" +checksum = "41f2619966050689382d2b44f664f4bc593e129785a36d6ee376ddf37259b924" dependencies = [ "proc-macro2", ] @@ -1584,6 +1622,12 @@ version = "5.3.0" source = "registry+https://github.com/rust-lang/crates.io-index" checksum = "69cdb34c158ceb288df11e18b4bd39de994f6657d83847bdffdbd7f346754b0f" +[[package]] +name = "r-efi" +version = "6.0.0" +source = "registry+https://github.com/rust-lang/crates.io-index" +checksum = "f8dcc9c7d52a811697d2151c701e0d08956f92b0e24136cf4cf27b57a6a0d9bf" + [[package]] name = "rand" version = "0.8.5" @@ -1603,7 +1647,7 @@ source = "registry+https://github.com/rust-lang/crates.io-index" checksum = "6db2770f06117d490610c7488547d543617b21bfa07796d7a12f6f1bd53850d1" dependencies = [ "rand_chacha 0.9.0", - "rand_core 0.9.3", + "rand_core 0.9.5", ] [[package]] @@ -1623,7 +1667,7 @@ source = "registry+https://github.com/rust-lang/crates.io-index" checksum = "d3022b5f1df60f26e1ffddd6c66e8aa15de382ae63b3a0c1bfc0e4d3e3f325cb" dependencies = [ "ppv-lite86", - "rand_core 0.9.3", + "rand_core 0.9.5", ] [[package]] @@ -1638,9 +1682,9 @@ dependencies = [ [[package]] name = "rand_core" -version = "0.9.3" +version = "0.9.5" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "99d9a13982dcf210057a8a78572b2217b667c3beacbf3a0d8b454f6f82837d38" +checksum = "76afc826de14238e6e8c374ddcc1fa19e374fd8dd986b0d2af0d02377261d83c" dependencies = [ "getrandom 0.3.4", ] @@ -1685,9 +1729,9 @@ dependencies = [ [[package]] name = "regex-automata" -version = "0.4.13" +version = "0.4.14" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "5276caf25ac86c8d810222b3dbb938e512c55c6831a10f3e6ed1c93b84041f1c" +checksum = "6e1dd4122fc1595e8162618945476892eefca7b88c52820e74af6262213cae8f" dependencies = [ "aho-corasick", "memchr", @@ -1696,9 +1740,9 @@ dependencies = [ [[package]] name = "regex-syntax" -version = "0.8.8" +version = "0.8.10" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "7a2d987857b319362043e95f5353c0535c1f58eec5336fdfcf626430af7def58" +checksum = "dc897dd8d9e8bd1ed8cdad82b5966c3e0ecae09fb1907d58efaa013543185d0a" [[package]] name = "reqwest" @@ -1736,21 +1780,21 @@ dependencies = [ [[package]] name = "rustc-hash" -version = "2.1.1" +version = "2.1.2" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "357703d41365b4b27c590e3ed91eabb1b663f07c4c084095e60cbed4362dff0d" +checksum = "94300abf3f1ae2e2b8ffb7b58043de3d399c73fa6f4b73826402a5c457614dbe" [[package]] name = "rustix" -version = "1.1.3" +version = "1.1.4" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "146c9e247ccc180c1f61615433868c99f3de3ae256a30a43b49f67c2d9171f34" +checksum = "b6fe4565b9518b83ef4f91bb47ce29620ca828bd32cb7e408f0062e9930ba190" dependencies = [ "bitflags", "errno", "libc", "linux-raw-sys", - "windows-sys 0.61.2", + "windows-sys", ] [[package]] @@ -1761,9 +1805,9 @@ checksum = "b39cdef0fa800fc44525c84ccb54a029961a8215f9619753635a9c0d2538d46d" [[package]] name = "ryu" -version = "1.0.20" +version = "1.0.23" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "28d3b2b1366ec20994f1fd18c3c594f05c5dd4bc44d8bb0c1c632c8d6829481f" +checksum = "9774ba4a74de5f7b1c1451ed6cd5285a32eddb5cccb8cc655a4e50009e06477f" [[package]] name = "scopeguard" @@ -1771,6 +1815,12 @@ version = "1.2.0" source = "registry+https://github.com/rust-lang/crates.io-index" checksum = "94143f37725109f92c262ed2cf5e59bce7498c01bcc1502d7b9afe439a4e9f49" +[[package]] +name = "semver" +version = "1.0.28" +source = "registry+https://github.com/rust-lang/crates.io-index" +checksum = "8a7852d02fc848982e0c167ef163aaff9cd91dc640ba85e263cb1ce46fae51cd" + [[package]] name = "serde" version = "1.0.228" @@ -1798,21 +1848,21 @@ checksum = "d540f220d3187173da220f885ab66608367b6574e925011a9353e4badda91d79" dependencies = [ "proc-macro2", "quote", - "syn 2.0.107", + "syn 2.0.117", ] [[package]] name = "serde_json" -version = "1.0.145" +version = "1.0.149" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "402a6f66d8c709116cf22f558eab210f5a50187f702eb4d7e5ef38d9a7f1c79c" +checksum = "83fc039473c5595ace860d8c4fafa220ff474b3fc6bfdb4293327f1a37e94d86" dependencies = [ "indexmap", "itoa", "memchr", - "ryu", "serde", "serde_core", + "zmij", ] [[package]] @@ -1876,7 +1926,7 @@ source = "registry+https://github.com/rust-lang/crates.io-index" checksum = "3a766e1110788c36f4fa1c2b71b387a7815aa65f88ce0229841826633d93723e" dependencies = [ "libc", - "windows-sys 0.61.2", + "windows-sys", ] [[package]] @@ -1904,9 +1954,9 @@ dependencies = [ [[package]] name = "syn" -version = "2.0.107" +version = "2.0.117" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "2a26dbd934e5451d21ef060c018dae56fc073894c5a7896f882928a76e6d081b" +checksum = "e665b8803e7b1d2a727f4023456bbbbe74da67099c585258af0ad9c5013b9b99" dependencies = [ "proc-macro2", "quote", @@ -1930,46 +1980,46 @@ checksum = "728a70f3dbaf5bab7f0c4b1ac8d7ae5ea60a4b5549c8a5914361c99147a709d2" dependencies = [ "proc-macro2", "quote", - "syn 2.0.107", + "syn 2.0.117", ] [[package]] name = "target-lexicon" -version = "0.13.3" +version = "0.13.5" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "df7f62577c25e07834649fc3b39fafdc597c0a3527dc1c60129201ccfcbaa50c" +checksum = "adb6935a6f5c20170eeceb1a3835a49e12e19d792f6dd344ccc76a985ca5a6ca" [[package]] name = "tempfile" -version = "3.24.0" +version = "3.27.0" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "655da9c7eb6305c55742045d5a8d2037996d61d8de95806335c7c86ce0f82e9c" +checksum = "32497e9a4c7b38532efcdebeef879707aa9f794296a4f0244f6f69e9bc8574bd" dependencies = [ "fastrand", - "getrandom 0.3.4", + "getrandom 0.4.2", "once_cell", "rustix", - "windows-sys 0.61.2", + "windows-sys", ] [[package]] name = "thiserror" -version = "2.0.17" +version = "2.0.18" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "f63587ca0f12b72a0600bcba1d40081f830876000bb46dd2337a3051618f4fc8" +checksum = "4288b5bcbc7920c07a1149a35cf9590a2aa808e0bc1eafaade0b80947865fbc4" dependencies = [ "thiserror-impl", ] [[package]] name = "thiserror-impl" -version = "2.0.17" +version = "2.0.18" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "3ff15c8ecd7de3849db632e14d18d2571fa09dfc5ed93479bc4485c7a517c913" +checksum = "ebc4ee7f67670e9b64d05fa4253e753e016c6c95ff35b89b7941d6b856dec1d5" dependencies = [ "proc-macro2", "quote", - "syn 2.0.107", + "syn 2.0.117", ] [[package]] @@ -1983,9 +2033,9 @@ dependencies = [ [[package]] name = "tinystr" -version = "0.8.2" +version = "0.8.3" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "42d3e9c45c09de15d06dd8acf5f4e0e399e85927b7f00711024eb7ae10fa4869" +checksum = "c8323304221c2a851516f22236c5722a72eaa19749016521d6dff0824447d96d" dependencies = [ "displaydoc", "zerovec", @@ -1993,15 +2043,15 @@ dependencies = [ [[package]] name = "tokio" -version = "1.50.0" +version = "1.51.0" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "27ad5e34374e03cfffefc301becb44e9dc3c17584f414349ebe29ed26661822d" +checksum = "2bd1c4c0fc4a7ab90fc15ef6daaa3ec3b893f004f915f2392557ed23237820cd" dependencies = [ "libc", "mio", "pin-project-lite", "socket2", - "windows-sys 0.61.2", + "windows-sys", ] [[package]] @@ -2100,7 +2150,7 @@ checksum = "7490cfa5ec963746568740651ac6781f701c9c5ea257c58e057f3ba8cf69e8da" dependencies = [ "proc-macro2", "quote", - "syn 2.0.107", + "syn 2.0.117", ] [[package]] @@ -2176,9 +2226,15 @@ checksum = "2896d95c02a80c6d6a5d6e953d479f5ddf2dfdb6a244441010e373ac0fb88971" [[package]] name = "unicode-ident" -version = "1.0.19" +version = "1.0.24" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "f63a545481291138910575129486daeaf8ac54aee4387fe7906919f7830c7d9d" +checksum = "e6e4313cd5fcd3dad5cafa179702e2b244f760991f45397d14d4ebf38247da75" + +[[package]] +name = "unicode-xid" +version = "0.2.6" +source = "registry+https://github.com/rust-lang/crates.io-index" +checksum = "ebc1c04c71510c7f702b52b7c350734c9ff1295c464a03335b00bb84fc54f853" [[package]] name = "unindent" @@ -2212,11 +2268,11 @@ checksum = "06abde3611657adf66d383f00b093d7faecc7fa57071cce2578660c9f1010821" [[package]] name = "uuid" -version = "1.18.1" +version = "1.23.0" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "2f87b8aa10b915a06587d0dec516c282ff295b475d94abf425d62b57710070a2" +checksum = "5ac8b6f42ead25368cf5b098aeb3dc8a1a2c05a3eee8a9a1a68c640edbfc79d9" dependencies = [ - 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"syn 2.0.107", + "syn 2.0.117", "synstructure", ] [[package]] name = "zerocopy" -version = "0.8.27" +version = "0.8.48" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "0894878a5fa3edfd6da3f88c4805f4c8558e2b996227a3d864f47fe11e38282c" +checksum = "eed437bf9d6692032087e337407a86f04cd8d6a16a37199ed57949d415bd68e9" dependencies = [ "zerocopy-derive", ] [[package]] name = "zerocopy-derive" -version = "0.8.27" +version = "0.8.48" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "88d2b8d9c68ad2b9e4340d7832716a4d21a22a1154777ad56ea55c51a9cf3831" +checksum = "70e3cd084b1788766f53af483dd21f93881ff30d7320490ec3ef7526d203bad4" dependencies = [ "proc-macro2", "quote", - "syn 2.0.107", + "syn 2.0.117", ] [[package]] name = "zerofrom" -version = "0.1.6" +version = "0.1.7" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "50cc42e0333e05660c3587f3bf9d0478688e15d870fab3346451ce7f8c9fbea5" +checksum = "69faa1f2a1ea75661980b013019ed6687ed0e83d069bc1114e2cc74c6c04c4df" dependencies = [ "zerofrom-derive", ] [[package]] name = "zerofrom-derive" -version = "0.1.6" +version = "0.1.7" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "d71e5d6e06ab090c67b5e44993ec16b72dcbaabc526db883a360057678b48502" +checksum = "11532158c46691caf0f2593ea8358fed6bbf68a0315e80aae9bd41fbade684a1" dependencies = [ "proc-macro2", "quote", - "syn 2.0.107", + "syn 2.0.117", "synstructure", ] [[package]] name = "zerotrie" -version = "0.2.3" +version = "0.2.4" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "2a59c17a5562d507e4b54960e8569ebee33bee890c70aa3fe7b97e85a9fd7851" +checksum = "0f9152d31db0792fa83f70fb2f83148effb5c1f5b8c7686c3459e361d9bc20bf" dependencies = [ "displaydoc", "yoke", @@ -2527,9 +2617,9 @@ dependencies = [ [[package]] name = "zerovec" -version = "0.11.5" +version = "0.11.6" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "6c28719294829477f525be0186d13efa9a3c602f7ec202ca9e353d310fb9a002" +checksum = "90f911cbc359ab6af17377d242225f4d75119aec87ea711a880987b18cd7b239" dependencies = [ "yoke", "zerofrom", @@ -2538,11 +2628,17 @@ dependencies = [ [[package]] name = "zerovec-derive" -version = "0.11.2" +version = "0.11.3" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "eadce39539ca5cb3985590102671f2567e659fca9666581ad3411d59207951f3" +checksum = "625dc425cab0dca6dc3c3319506e6593dcb08a9f387ea3b284dbd52a92c40555" dependencies = [ "proc-macro2", "quote", - "syn 2.0.107", + "syn 2.0.117", ] + +[[package]] +name = "zmij" +version = "1.0.21" +source = "registry+https://github.com/rust-lang/crates.io-index" +checksum = "b8848ee67ecc8aedbaf3e4122217aff892639231befc6a1b58d29fff4c2cabaa" diff --git a/Cargo.toml b/Cargo.toml index e3741144..28f6eab6 100644 --- a/Cargo.toml +++ b/Cargo.toml @@ -18,19 +18,14 @@ opentelemetry = "0.28" opentelemetry-otlp = { version = "0.28", features = ["http-proto", "reqwest-blocking-client", "trace"] } opentelemetry-stdout = { version = "0.28", features = ["trace"] } opentelemetry_sdk = "0.28" -# egglog = { path = "../egg-smol", default-features = false } -# egglog-bridge = { path = "../egg-smol/egglog-bridge" } -# egglog-core-relations = { path = "../egg-smol/core-relations" } -# egglog-ast = { path = "../egg-smol/egglog-ast" } -# egglog-reports = { path = "../egg-smol/egglog-reports" } -egglog = { git = "https://github.com/saulshanabrook/egg-smol.git", branch = "fix-container-fn-bug", default-features = false } -egglog-ast = { git = "https://github.com/saulshanabrook/egg-smol.git", branch = "fix-container-fn-bug" } -egglog-core-relations = { git = "https://github.com/saulshanabrook/egg-smol.git", branch = "fix-container-fn-bug" } -egglog-reports = { git = "https://github.com/saulshanabrook/egg-smol.git", branch = "fix-container-fn-bug" } -egglog-bridge = { git = "https://github.com/saulshanabrook/egg-smol.git", branch = "fix-container-fn-bug" } +egglog = { git = "https://github.com/egraphs-good/egglog.git", rev = "b5c211b9def133cad9540a11744e8a1e40bd2a29", default-features = false } +egglog-ast = { git = "https://github.com/egraphs-good/egglog.git", rev = "b5c211b9def133cad9540a11744e8a1e40bd2a29" } +egglog-core-relations = { git = "https://github.com/egraphs-good/egglog.git", rev = "b5c211b9def133cad9540a11744e8a1e40bd2a29" } +egglog-reports = { git = "https://github.com/egraphs-good/egglog.git", rev = "b5c211b9def133cad9540a11744e8a1e40bd2a29" } +egglog-bridge = { git = "https://github.com/egraphs-good/egglog.git", rev = "b5c211b9def133cad9540a11744e8a1e40bd2a29" } -egglog-experimental = { git = "https://github.com/egraphs-good/egglog-experimental", branch = "main", default-features = false } +egglog-experimental = { git = "https://github.com/egraphs-good/egglog-experimental.git", rev = "fae7440e67497fb7ac56c889dde9eedec17636f9", default-features = false } egraph-serialize = { version = "0.3", features = ["serde", "graphviz"] } serde_json = "1" pyo3-log = "*" @@ -44,19 +39,6 @@ uuid = { version = "1.18", features = ["v4"] } rayon = "1.11" base64 = "0.22.1" -# Use patched version of egglog in experimental -[patch.'https://github.com/egraphs-good/egglog'] -# egglog = { path = "../egg-smol" } -# egglog-core-relations = { path = "../egg-smol/core-relations" } -# egglog-ast = { path = "../egg-smol/egglog-ast" } -# egglog-reports = { path = "../egg-smol/egglog-reports" } -# egglog-bridge = { path = "../egg-smol/egglog-bridge" } - -egglog = { git = "https://github.com/saulshanabrook/egg-smol.git", branch = "fix-container-fn-bug" } -egglog-ast = { git = "https://github.com/saulshanabrook/egg-smol.git", branch = "fix-container-fn-bug" } -egglog-core-relations = { git = "https://github.com/saulshanabrook/egg-smol.git", branch = "fix-container-fn-bug" } -egglog-bridge = { git = "https://github.com/saulshanabrook/egg-smol.git", branch = "fix-container-fn-bug" } -egglog-reports = { git = "https://github.com/saulshanabrook/egg-smol.git", branch = "fix-container-fn-bug" } # enable debug symbols for easier profiling [profile.release] diff --git a/docs/explanation/2026_02_containers.ipynb b/docs/explanation/2026_02_containers.ipynb new file mode 100644 index 00000000..2fe48111 --- /dev/null +++ b/docs/explanation/2026_02_containers.ipynb @@ -0,0 +1,3127 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "7c296c51", + "metadata": {}, + "source": [ + "```{post} 2026-03-13\n", + "```\n", + "\n", + "# Custom Data Structures in E-Graphs\n", + "\n", + "*Cross-posted on the [UW PLSE blog](https://uwplse.org/2026/02/24/egglog-containers.html).*\n", + "\n", + "[E-graphs](https://en.wikipedia.org/wiki/E-graph) are a data structure used to reason about program equivalence.\n", + "Combined with specialized algorithms they can be used to build optimizers or compilers. However,\n", + "their performance can struggle as the number of equivalent expressions explodes if we include on algebraic identities, such as\n", + "associativity, commutativity, and distributivity (A/C/D).\n", + "\n", + "Alternatively we can attempt to build these identities into our underlying data structure, such as Philip Zucker's explorations of\n", + "[Gröbner basis](https://www.philipzucker.com/multiset_rw/) and [bottom up e-matching](https://www.semanticscholar.org/paper/Omelets-Need-Onions%3A-E-graphs-Modulo-Theories-via-Zucker/b07bdef17fdbb7cf927a5a844fc587335864e89a).\n", + "For example, instead of representing a sequence of additions as say a tree of binary operations, we can instead represent it as a sorted list of terms being added\n", + "or a multiset mapping terms to their counts.\n", + "However, building entirely new e-graph systems to take advantage of this is a large engineering lift and splits the ecosystem of users,\n", + "reducing the possibility for code reuse between project that use e-graphs.\n", + "\n", + "Here, I explore how supporting custom data structures and higher order functions can\n", + "be used to build efficient algebraic representations without changing the internals of an e-graph system.\n", + "\n", + "## EGraphs in Egglog\n", + "\n", + "In this post we will be using, an e-graph framework built on top of a custom database. It's written in\n", + "[Rust](https://github.com/egraphs-good/egglog) with [bindings in Python](https://github.com/egraphs-good/egglog-python),\n", + "which I will be using here.\n", + "\n", + "First we start with an example where we define a language through a set of types, uninterpreted functions, and rewrite rules\n", + "to define equivalences between expressions.\n", + "\n", + "This lets us check things like if `2 * (x + 3) == 6 + 2 * x`, given distributivity and commutativity, along with constant folding rules:" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "6c9489c3", + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "b9a4b18d0a5840869508b030bb4555b9", + "version_major": 2, + "version_minor": 1 + }, + "text/plain": [ + "VisualizerWidget(egraphs=['{\"nodes\":{\"function-0-Num___mul__\":{\"op\":\"· * ·\",\"children\":[\"function-0-Num___init…" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from __future__ import annotations\n", + "\n", + "from egglog import *\n", + "\n", + "\n", + "# 1. Create a custom type\n", + "class Num(Expr):\n", + " # 2. Define constructors for this type from an integer,\n", + " # string, binary addition or multiplication\n", + " def __init__(self, value: i64Like) -> None: ...\n", + "\n", + " @classmethod\n", + " def var(cls, name: StringLike) -> Num: ...\n", + "\n", + " def __add__(self, other: Num) -> Num: ...\n", + "\n", + " def __mul__(self, other: Num) -> Num: ...\n", + "\n", + "\n", + "# 2. Define a set of rewrite rules that add equivalences\n", + "# They work by finding an expression that matches the LHS\n", + "# modulo the variables, then adding the RHS with the variables\n", + "# substituted, and setting them as equivalent to it\n", + "@ruleset\n", + "def comm_dist_fold(a: Num, b: Num, c: Num, i: i64, j: i64):\n", + " # commutativity\n", + " yield rewrite(a + b).to(b + a)\n", + " # distributivity\n", + " yield rewrite(a * (b + c)).to((a * b) + (a * c))\n", + " # constant folding\n", + " yield rewrite(Num(i) + Num(j)).to(Num(i + j))\n", + " yield rewrite(Num(i) * Num(j)).to(Num(i * j))\n", + "\n", + "\n", + "# 3. Create an empty e-graph\n", + "egraph = EGraph()\n", + "\n", + "# 4. Add our two initial expressions\n", + "expr1 = egraph.let(\"expr1\", Num(2) * (Num.var(\"x\") + Num(3)))\n", + "expr2 = egraph.let(\"expr2\", Num(6) + Num(2) * Num.var(\"x\"))\n", + "\n", + "\n", + "# 5. Run this ruleset until it is \"saturated\"\n", + "# meaning that further application will be no-ops\n", + "# as well as output a visualization showing the progress\n", + "egraph.saturate(comm_dist_fold)\n", + "# 6. Verify that our two expressions are now equivalent\n", + "egraph.check(expr1 == expr2)" + ] + }, + { + "cell_type": "markdown", + "id": "c00731f4", + "metadata": {}, + "source": [ + "The visualization shows the final state of the e-graph and allows us to step through it using the slider at the top:\n", + "\n", + "The arrows points a function to its arguments. When two expressions are equivalent they are placed in the same cluster,\n", + "called an e-class. The top e-class has labels `expr1` and `expr2` in it, meaning they are equivalent now.\n", + "\n", + "By dragging the top slide slider to the left it will show the initial state, before any of the rules were run,\n", + "when it just contains our two initial expressions. They are start in different e-classes, since we don't they are equal\n", + "until we run our rules. As you drag the slider to the right, you will see the state of the e-graph after each rule application.\n", + "\n", + "EGraphs can also be used for program optimization. By choosing a cost model, for example based on the total number of terms,\n", + "we can try to find an expression equivalent to our initial expression and extract it out.\n", + "\n", + "This is comparable to how term rewriting system can also be used for optimization or transformation. One way to look at\n", + "egraphs is as if we have use a term rewriting system but we remember all the previous terms we have encountered, and defer\n", + "picking the \"best' one till the end.\n", + "This lets us focus less on rule application order, but it does mean that our memory will increase over time, which\n", + "is what we will get to soon.\n", + "\n", + "For a more thorough introduction, check out the [egglog tutorial](https://egglog-python.readthedocs.io/latest/tutorials/tut_1_basics.html),\n", + "and for an example of how it can be used inside of a larger system see the [Numba v2 mini book](https://numba.pydata.org/numba-prototypes/sealir_tutorials/index.html).\n", + "More examples are collected [in the awesome e-graphs repo](https://github.com/philzook58/awesome-egraphs).\n", + "EGraphs also have [an active community](https://egraphs.org/) around them that [chat online](https://egraphs.zulipchat.com/) and\n", + "[meet in person](https://egraphs.org/workshop/).\n", + "\n", + "## Size Blow Up\n", + "\n", + "While e-graphs are powerful, they can \"blow up\", increasing in size drastically even when starting with small expression.\n", + "For example if we start with `2 + a + b + b + 3` and add A/C/D rules we can see it increase in size:" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "fe82287c", + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "396ca2cfb54b467785dea46bdfb2a8fc", + "version_major": 2, + "version_minor": 1 + }, + "text/plain": [ + "VisualizerWidget(egraphs=['{\"nodes\":{\"primitive-String-0\":{\"op\":\"\\\\\"b\\\\\"\",\"children\":[],\"eclass\":\"String-0\",\"c…" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
Num(5) + (Num.var("a") + Num.var("b") + Num.var("b"))\n",
+       "
\n" + ], + "text/latex": [ + "\\begin{Verbatim}[commandchars=\\\\\\{\\}]\n", + "\\PY{n}{Num}\\PY{p}{(}\\PY{l+m+mi}{5}\\PY{p}{)} \\PY{o}{+} \\PY{p}{(}\\PY{n}{Num}\\PY{o}{.}\\PY{n}{var}\\PY{p}{(}\\PY{l+s+s2}{\\PYZdq{}}\\PY{l+s+s2}{a}\\PY{l+s+s2}{\\PYZdq{}}\\PY{p}{)} \\PY{o}{+} \\PY{n}{Num}\\PY{o}{.}\\PY{n}{var}\\PY{p}{(}\\PY{l+s+s2}{\\PYZdq{}}\\PY{l+s+s2}{b}\\PY{l+s+s2}{\\PYZdq{}}\\PY{p}{)} \\PY{o}{+} \\PY{n}{Num}\\PY{o}{.}\\PY{n}{var}\\PY{p}{(}\\PY{l+s+s2}{\\PYZdq{}}\\PY{l+s+s2}{b}\\PY{l+s+s2}{\\PYZdq{}}\\PY{p}{)}\\PY{p}{)}\n", + "\\end{Verbatim}\n" + ], + "text/plain": [ + "Num(5) + (Num.var(\"a\") + Num.var(\"b\") + Num.var(\"b\"))" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "@ruleset\n", + "def assoc(a: Num, b: Num, c: Num):\n", + " yield birewrite(a + (b + c)).to((a + b) + c)\n", + "\n", + "\n", + "egraph = EGraph()\n", + "a, b = Num.var(\"a\"), Num.var(\"b\")\n", + "new_expr = egraph.let(\"new_expr\", Num(2) + a + b + b + Num(3))\n", + "\n", + "# run both the associativity and commutativity/distributivity\n", + "# rules together\n", + "egraph.saturate(assoc | comm_dist_fold)\n", + "egraph.extract(new_expr)" + ] + }, + { + "cell_type": "markdown", + "id": "e827591e", + "metadata": {}, + "source": [ + "As the number of e-nodes increases so does the memory usage and also the runtime, limiting the ability\n", + "to use these kinds of rules on large expressions. One way to work around this\n", + "is to limit the number of times we apply certain rules or limit the size of e-graphs, with the tradeoff that this\n", + "limits the size of our search space. What if instead we could maintain\n", + "an optimization like constant folding without an increasing blow-up size due to the other rules?\n", + "\n", + "We will look at how containers can be used to achieve this, but first some background on how Egglog handles primitives.\n", + "\n", + "## Primitives and Containers in Egglog\n", + "\n", + "Along with Egglog letting you define your own types, like `Num`, it also comes with a number of builtins/primitives like `i64` and `String`.\n", + "The core comes with a number of them, but they can also be written in Rust extensions as plugins. To define a new type in Rust\n", + "you must define how to compare them with equality and how to hash them.\n", + "Primitives are treated like opaque values, Egglog doesn't reason about their inner structure. Functions can also be defined\n", + "over primitives, again either in the core or as a Rust extension. Egglog doesn't know anything about their semantics, just that\n", + "they take in primitives and return other primitives.\n", + "\n", + "If we think of primitives as opaque values, what if we want to contain a primitive inside of another one? For example,\n", + "a `Vec` type that contains a number of items. To define such a type in Rust, we need the above properties around hashing\n", + "and equality, but we also need to make sure it respects congruence. Congruence is the property where if you have\n", + "two expression `f(a)` and `f(b)` in the e-graph, and then you make `a == b`, then `f(a)` should also equal `f(b)`. We want\n", + "this same property to hold for something like a vector, so if you have `Vec(a, c)` and `Vec(b, c)` in the e-graph, and you make `a == b`,\n", + "then these two vecs should also be equal `Vec(a, c) == Vec(b, c)`.\n", + "\n", + "We do this by implementing one additional operation on containers, rebuilding. This is called whenever we want to renormalize\n", + "the e-graph to preserve congruence. We defer it so we don't do it after every union operation, to reduce the amount of work.\n", + "Since containers \"contain\" references to other e-classes, we need to update those references. That what this rebuilding\n", + "operation does, so that when its time to rebuild, the `Vec` type calls rebuilding on each of its inner values, updating them with\n", + "new names for each e-class.\n", + "So then when we check for equality after that, it will preserve congruence.\n", + "\n", + "Egglog doesn't know anything more about the structures of containers besides how to rebuild them and any primitive functions you define on them.\n", + "This both makes them relatively easy to implement and add, but also limits the ability to \"match\" over them, which will see how to work around\n", + "in the next section.\n", + "\n", + "One use case for containers is to represent operations with more structure. I the above, we have defined\n", + "addition as a binary operation with two ordered arguments. However, we may decide that for our use case,\n", + "we not only wanna make `a + b` equal to `b + a`, but in fact indistinguishable. This effectively\n", + "replaces the commutative and associativity rules with instead a representation that maintains their invariants.\n", + "One way we could do that is with a container that represents all terms being added.\n", + "This would be a [multiset aka bag](https://en.wikipedia.org/wiki/Multiset), since\n", + "we want to know how many times a term is being added, but we don't care about the order.\n", + "\n", + "We can write this in the Python bindings like so:" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "dfd73580", + "metadata": {}, + "outputs": [], + "source": [ + "@function\n", + "def sum_(xs: MultiSet[Num]) -> Num: ..." + ] + }, + { + "cell_type": "markdown", + "id": "d123b8b4", + "metadata": {}, + "source": [ + "Now if we construct `sum_(MultiSet(a, b))` this will be equal to `sum_(MultiSet(b, a))` due to the implementation of multiset b\n", + "being order insensitive:" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "29c26ebd", + "metadata": {}, + "outputs": [], + "source": [ + "egraph = EGraph()\n", + "x = Num.var(\"x\")\n", + "y = Num.var(\"y\")\n", + "z = egraph.let(\"z\", sum_(MultiSet(x, y)))\n", + "egraph.check(z == sum_(MultiSet(y, x)))" + ] + }, + { + "cell_type": "markdown", + "id": "20b239e3", + "metadata": {}, + "source": [ + "We have the rebuilding property we talked about above as well, to maintain congruence. If we now union `x` with `y`,\n", + "the sum will reflect this to become `sum_(MultiSet(x, x))`:" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "7d74f69b", + "metadata": {}, + "outputs": [], + "source": [ + "egraph.register(union(x).with_(y))\n", + "egraph.check(z == sum_(MultiSet(x, x)))" + ] + }, + { + "cell_type": "markdown", + "id": "e04e08f6", + "metadata": {}, + "source": [ + "So we can see here we can represent a whole set of equal summations only with one multiset, instead of having to add\n", + "many terms to the e-graph.\n", + "\n", + "## Matching on Containers by Index\n", + "\n", + "Given this new implementation, how would we replicate the above constant folding example on it?\n", + "\n", + "Well first we can start by creating a new e-graph and adding the expression, this time using our `sum` function with multisets,\n", + "instead of binary addition:" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "0effdcd5", + "metadata": {}, + "outputs": [], + "source": [ + "egraph = EGraph()\n", + "new_expr = egraph.let(\"new_expr\", sum_(MultiSet(Num(2), a, b, b, Num(3))))" + ] + }, + { + "cell_type": "markdown", + "id": "c38c3c2b", + "metadata": {}, + "source": [ + "One way to think about a constant folding rule would be to \"Look for a sum that contains two constant numbers,\n", + "take them both out and add their sum back in\". However, we don't have the ability to match on the contents of a multiset directly,\n", + "since as we said above Egglog doesn't know anything about its inner structure.\n", + "\n", + "One way we can work around this is to build up an \"index\" function for the contents of the multiset. This maps\n", + "a multiset and an item inside of it, to the count of times it shows up in that multiset:" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "3705f64e", + "metadata": {}, + "outputs": [], + "source": [ + "@function\n", + "def ms_num_index(xs: MultiSet[Num], x: Num) -> i64: ..." + ] + }, + { + "cell_type": "markdown", + "id": "3afa7e4a", + "metadata": {}, + "source": [ + "It is similar to in a database if you need to do a join efficiently you have to build an index.\n", + "\n", + "Then we can add two rules, one that fills in the index whenever we have a sum and then another one that matches on that\n", + "to do the constant folding:" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "7af795ee", + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "fb105cf2b45147cb8cd19d6823b56467", + "version_major": 2, + "version_minor": 1 + }, + "text/plain": [ + "VisualizerWidget(egraphs=['{\"nodes\":{\"primitive-egglog.builtins.MultiSet[Num]-4\":{\"op\":\"MultiSet\",\"children\":[…" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
sum_(MultiSet(Num.var("a"), Num.var("b"), Num.var("b"), Num(5)))\n",
+       "
\n" + ], + "text/latex": [ + "\\begin{Verbatim}[commandchars=\\\\\\{\\}]\n", + "\\PY{n}{sum\\PYZus{}}\\PY{p}{(}\\PY{n}{MultiSet}\\PY{p}{(}\\PY{n}{Num}\\PY{o}{.}\\PY{n}{var}\\PY{p}{(}\\PY{l+s+s2}{\\PYZdq{}}\\PY{l+s+s2}{a}\\PY{l+s+s2}{\\PYZdq{}}\\PY{p}{)}\\PY{p}{,} \\PY{n}{Num}\\PY{o}{.}\\PY{n}{var}\\PY{p}{(}\\PY{l+s+s2}{\\PYZdq{}}\\PY{l+s+s2}{b}\\PY{l+s+s2}{\\PYZdq{}}\\PY{p}{)}\\PY{p}{,} \\PY{n}{Num}\\PY{o}{.}\\PY{n}{var}\\PY{p}{(}\\PY{l+s+s2}{\\PYZdq{}}\\PY{l+s+s2}{b}\\PY{l+s+s2}{\\PYZdq{}}\\PY{p}{)}\\PY{p}{,} \\PY{n}{Num}\\PY{p}{(}\\PY{l+m+mi}{5}\\PY{p}{)}\\PY{p}{)}\\PY{p}{)}\n", + "\\end{Verbatim}\n" + ], + "text/plain": [ + "sum_(MultiSet(Num.var(\"a\"), Num.var(\"b\"), Num.var(\"b\"), Num(5)))" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "@ruleset\n", + "def constant_fold_index(xs: MultiSet[Num], i: i64, k: i64):\n", + " # For all sums, fill in the index function\n", + " yield rule(sum_(xs)).then(xs.fill_index(ms_num_index))\n", + "\n", + " # Try replacing any sum with the folded version\n", + " yield rewrite(sum_(xs)).to(\n", + " # Replace the two numbers with their sum, by removing\n", + " # them and then inserting their sum back in\n", + " sum_(xs.remove(Num(i)).remove(Num(k)).insert(Num(i + k))),\n", + " # These are conditions for the rewrite to match:\n", + " # Look for a multiset that contains two numbers that\n", + " # are not the same one\n", + " ms_num_index(xs, Num(i)),\n", + " ms_num_index(xs, Num(k)),\n", + " i != k,\n", + " )\n", + "\n", + "\n", + "egraph = EGraph()\n", + "new_expr = egraph.let(\"new_expr\", sum_(MultiSet(Num(2), a, b, b, Num(3))))\n", + "egraph.saturate(constant_fold_index)\n", + "egraph.extract(new_expr)" + ] + }, + { + "cell_type": "markdown", + "id": "a4b2434a", + "metadata": {}, + "source": [ + "If we run this now we can see that we get back out the folded expression, without the blow-up from before:\n", + "\n", + "However, we still add a number of nodes to the e-graph to maintain the index. While this works in this small example,\n", + "if many intermediate multisets are generated, this can lead again to a blow-up in the e-graph size.\n", + "\n", + "So what if instead there was a way to express this rule without needing to maintain this index?\n", + "\n", + "## Matching on Containers with Higher Order Functions\n", + "\n", + "We can look at the rule above as trying to pull out two numbers from a sum and fold them in together. So if there were `n`\n", + "constants, it would trigger `n * (n - 1)` times, since we can choose any two of them to fold together. What if instead\n", + "we wanted to express a rule that selects *all* constants from a multiset and folds them together?\n", + "\n", + "The index approach won't work here, because we don't have a fixed number to match on. Instead, we can use higher order functions\n", + "to express this as a block wise operation. Effectively we want to say \"Pull out all constants in the multiset, add them together,\n", + "and then add that back into the multiset with all the non-constants\".\n", + "\n", + "But first we need to add a helper function that returns an `i64` for a `Num` if its a constant:" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "48c60d46", + "metadata": {}, + "outputs": [], + "source": [ + "@function\n", + "def get_i64(x: Num) -> i64: ...\n", + "\n", + "\n", + "@ruleset\n", + "def set_get_i64(i: i64):\n", + " yield rule(Num(i)).then(set_(get_i64(Num(i))).to(i))" + ] + }, + { + "cell_type": "markdown", + "id": "a6fc0049", + "metadata": {}, + "source": [ + "Then we can define the constant folding, using higher order `fold` and `map` operations" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "c5c70656", + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "9146792eab264e4e856f42fd92cf77a0", + "version_major": 2, + "version_minor": 1 + }, + "text/plain": [ + "VisualizerWidget(egraphs=['{\"nodes\":{\"primitive-egglog.builtins.MultiSet[Num]-4\":{\"op\":\"MultiSet\",\"children\":[…" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
sum_(MultiSet(Num.var("a"), Num.var("b"), Num.var("b"), Num(5)))\n",
+       "
\n" + ], + "text/latex": [ + "\\begin{Verbatim}[commandchars=\\\\\\{\\}]\n", + "\\PY{n}{sum\\PYZus{}}\\PY{p}{(}\\PY{n}{MultiSet}\\PY{p}{(}\\PY{n}{Num}\\PY{o}{.}\\PY{n}{var}\\PY{p}{(}\\PY{l+s+s2}{\\PYZdq{}}\\PY{l+s+s2}{a}\\PY{l+s+s2}{\\PYZdq{}}\\PY{p}{)}\\PY{p}{,} \\PY{n}{Num}\\PY{o}{.}\\PY{n}{var}\\PY{p}{(}\\PY{l+s+s2}{\\PYZdq{}}\\PY{l+s+s2}{b}\\PY{l+s+s2}{\\PYZdq{}}\\PY{p}{)}\\PY{p}{,} \\PY{n}{Num}\\PY{o}{.}\\PY{n}{var}\\PY{p}{(}\\PY{l+s+s2}{\\PYZdq{}}\\PY{l+s+s2}{b}\\PY{l+s+s2}{\\PYZdq{}}\\PY{p}{)}\\PY{p}{,} \\PY{n}{Num}\\PY{p}{(}\\PY{l+m+mi}{5}\\PY{p}{)}\\PY{p}{)}\\PY{p}{)}\n", + "\\end{Verbatim}\n" + ], + "text/plain": [ + "sum_(MultiSet(Num.var(\"a\"), Num.var(\"b\"), Num.var(\"b\"), Num(5)))" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "@ruleset\n", + "def constant_fold_sum(xs: MultiSet[Num]):\n", + " # Extract out all the constants from the sum\n", + " constants = xs.map(get_i64)\n", + " # Filter for the remaining values that are not constants\n", + " remaining = xs - constants.map(UnstableFn(Num))\n", + " # Sum all the constants to fold them together\n", + " folded = multiset_fold(i64.__add__, i64(0), constants)\n", + " yield rewrite(sum_(xs)).to(\n", + " # replace it with the non constants plus the folded\n", + " sum_(remaining.insert(Num(folded))),\n", + " # Only run this rule if there are more than one\n", + " # constant to fold together\n", + " constants.length() > 1,\n", + " )\n", + "\n", + "\n", + "egraph = EGraph()\n", + "new_expr = egraph.let(\"new_expr\", sum_(MultiSet(Num(2), a, b, b, Num(3))))\n", + "egraph.saturate(set_get_i64.saturate() + constant_fold_sum.saturate())\n", + "egraph.extract(new_expr)" + ] + }, + { + "cell_type": "markdown", + "id": "7b13a611", + "metadata": {}, + "source": [ + "Running the setting ruleset first, then the folding ruleset,\n", + "we can see that we get the same result as before,but without needing to maintain the index:\n", + "\n", + "Using higher order functions on containers, we can express efficient rewrite rules\n", + "that reduce the size of the e-graph compared to using binary operations. The container themselves preserves some of the core\n", + "identities that would lead to blow up, and the higher order functions support block wise operations to process an\n", + "arbitrary number of items as once.\n", + "\n", + "For a larger example that motivated this work, see the case study in Appendix 1, where we have a large polynomial expression with many terms that\n", + "we want to factor. That case study also demonstrates how we can convert from binary operations into containers as well. In the Appendix 2,\n", + "there are a few more examples that we could apply this approach to as well.\n", + "\n", + "## Takeaways\n", + "\n", + "Experimenting with using containers in this way explores how we can add more efficient representations in e-graphs\n", + "to an existing system like Egglog, by using custom data structures.\n", + "\n", + "It's also interesting that these representations can be not only more efficient but also more directly correspond\n", + "to the semantics of the your use case, compared to say a tree of binary operations.\n", + "\n", + "This work also highlights some of the current limitations of egglog.\n", + "\n", + "One issue is that composing functions of primitives is currently very limited. The only tool we have is currying, but\n", + "it is not possible to reorder arguments or compose them in more complicated manners. This inevitably leads to\n", + "creating more bespoke functions. For example, I had to add a `multiset_contains_swapped` function that swaps the order\n", + "of the `contains` method, since I needed to partially apply it with the second argument. Further exploring this line of\n", + "work might lead to trying out different ways of enriching primitive functions, possibly by allowing a way at runtime\n", + "to create new ones by composing others, either through a DSL/JIT or a higher order composition approach like the\n", + "[compiling to categories](http://conal.net/papers/compiling-to-categories/) work.\n", + "\n", + "Implementing these higher order functional primitives on containers is also challenging, due to the lack of built-in\n", + "generic type support in Egglog. Adding them currently is fiddly and requires careful thought over how to implement\n", + "their generic types. Adding built in support for generic types, both in primitives and user code, could make this more\n", + "scalable.\n", + "\n", + "Overall, I hope that this work shows that there is a design space here in Egglog to try out different\n", + "ways of representing new normalized forms of different domains and then designing algorithms over them. As opposed to\n", + "creating a whole new e-graph implementation, adding them as custom containers to Egglog supports reuse of the existing\n", + "engineering work and compositionality within the ecosystem. I am left wondering how further improvements to Egglog\n", + "can help extend this type of experimentation of how to efficiently represent different domains inside of e-graphs.\n", + "\n", + "## Appendix 1: Case Study from a Cloth Simulation Workload\n", + "\n", + "Here we start with an expression from the paper [\"Interactive design of periodic yarn-level cloth patterns\"](https://www.semanticscholar.org/paper/Interactive-design-of-periodic-yarn-level-cloth-Leaf-Wu/6350d7feb2dfc37d434da2839eacd5e8b025edda),\n", + "which is part of a larger program that does cloth simulation. It was recommended by my advisor, [Gilbert Bernstein](http://www.gilbertbernstein.com/),\n", + "since we can use their reference implementation in Mathematica to verify that our implementation matches theirs.\n", + "\n", + "![meme from tim and eric TV show with someone miming their mind being blown, with the text \"yarn = polynomials\" imposed](./2026_02_yarn-polynomials.gif)\n", + "\n", + "*Note that all code for this case study is reproducible in [this notebook](https://github.com/egraphs-good/egglog-python/blob/270a1876b6dbea37e441c132adbfdc8c11cbb319/docs/explanation/2026_02_containers_code.ipynb).*\n", + "*It is currently based on a branch of the Python bindings and Rust source, that adds additional multiset operations.*\n", + "For this docs version, the notebook content is reproduced later in this page in a folded appendix block.\n", + "\n", + "We define define a function to produce the amount of bending for a certain point over the [Python Array API Specification](https://data-apis.org/array-api/latest/API_specification/),\n", + "so that it works on both concrete NumPy arrays and symbolic arrays. It takes in a number of 1D arrays and returns a 0D array.\n", + "The details of what each argument represents and the underlying semantics are not important to this example, but our main objective\n", + "would be for a graphics researcher to be able to prototype a function like this. Then we would want our system\n", + "to \"optimize\" it in some way, before compiling it to something like CUDA to run on a GPU:" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "12bbeb82", + "metadata": {}, + "outputs": [], + "source": [ + "def bending_function(Q, Bp, Bpp):\n", + " xp = Q.__array_namespace__()\n", + " QM = xp.reshape(Q, (4, 3)).T\n", + "\n", + " yip = xp.vecdot(QM, Bp)\n", + " yipp = xp.vecdot(QM, Bpp)\n", + " num = xp.linalg.vector_norm(xp.cross(yip, yipp))\n", + " den = xp.linalg.vector_norm(yip) ** 3\n", + " return (num / den) ** 2" + ] + }, + { + "cell_type": "markdown", + "id": "8f0b2cac", + "metadata": {}, + "source": [ + "We symbolically evaluate the result of this function by using [an implementation of the Array API written in Egglog](https://github.com/egraphs-good/egglog-python/blob/cb263b163150181d164db25fbbac6e8a1e2da719/python/egglog/exp/array_api.py):" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "d2af639b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
_Value_1 = Value.var("q2") * Value.var("bp1") + Value.var("q5") * Value.var("bp2") + Value.var("q8") * Value.var("bp3") + Value.var("q11") * Value.var("bp4")\n",
+       "_Value_2 = Value.var("q3") * Value.var("bpp1") + Value.var("q6") * Value.var("bpp2") + Value.var("q9") * Value.var("bpp3") + Value.var("q12") * Value.var("bpp4")\n",
+       "_Value_3 = Value.var("q3") * Value.var("bp1") + Value.var("q6") * Value.var("bp2") + Value.var("q9") * Value.var("bp3") + Value.var("q12") * Value.var("bp4")\n",
+       "_Value_4 = Value.var("q2") * Value.var("bpp1") + Value.var("q5") * Value.var("bpp2") + Value.var("q8") * Value.var("bpp3") + Value.var("q11") * Value.var("bpp4")\n",
+       "_Value_5 = Value.var("q1") * Value.var("bpp1") + Value.var("q4") * Value.var("bpp2") + Value.var("q7") * Value.var("bpp3") + Value.var("q10") * Value.var("bpp4")\n",
+       "_Value_6 = Value.var("q1") * Value.var("bp1") + Value.var("q4") * Value.var("bp2") + Value.var("q7") * Value.var("bp3") + Value.var("q10") * Value.var("bp4")\n",
+       "NDArray(\n",
+       "    RecursiveValue(\n",
+       "        (\n",
+       "            (_Value_1 * _Value_2 - _Value_3 * _Value_4) ** Value.from_int(Int(2))\n",
+       "            + (_Value_3 * _Value_5 - _Value_6 * _Value_2) ** Value.from_int(Int(2))\n",
+       "            + (_Value_6 * _Value_4 - _Value_1 * _Value_5) ** Value.from_int(Int(2))\n",
+       "        )\n",
+       "        / (_Value_6 ** Value.from_int(Int(2)) + _Value_1 ** Value.from_int(Int(2)) + _Value_3 ** Value.from_int(Int(2))) ** Value.from_int(Int(3))\n",
+       "    )\n",
+       ")\n",
+       "
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Value.var(\"q5\") * Value.var(\"bp2\") + Value.var(\"q8\") * Value.var(\"bp3\") + Value.var(\"q11\") * Value.var(\"bp4\")\n", + "_Value_2 = Value.var(\"q3\") * Value.var(\"bpp1\") + Value.var(\"q6\") * Value.var(\"bpp2\") + Value.var(\"q9\") * Value.var(\"bpp3\") + Value.var(\"q12\") * Value.var(\"bpp4\")\n", + "_Value_3 = Value.var(\"q3\") * Value.var(\"bp1\") + Value.var(\"q6\") * Value.var(\"bp2\") + Value.var(\"q9\") * Value.var(\"bp3\") + Value.var(\"q12\") * Value.var(\"bp4\")\n", + "_Value_4 = Value.var(\"q2\") * Value.var(\"bpp1\") + Value.var(\"q5\") * Value.var(\"bpp2\") + Value.var(\"q8\") * Value.var(\"bpp3\") + Value.var(\"q11\") * Value.var(\"bpp4\")\n", + "_Value_5 = Value.var(\"q1\") * Value.var(\"bpp1\") + Value.var(\"q4\") * Value.var(\"bpp2\") + Value.var(\"q7\") * Value.var(\"bpp3\") + Value.var(\"q10\") * Value.var(\"bpp4\")\n", + "_Value_6 = Value.var(\"q1\") * Value.var(\"bp1\") + Value.var(\"q4\") * Value.var(\"bp2\") + Value.var(\"q7\") * Value.var(\"bp3\") + Value.var(\"q10\") * Value.var(\"bp4\")\n", + "NDArray(\n", + " RecursiveValue(\n", + " (\n", + " (_Value_1 * _Value_2 - _Value_3 * _Value_4) ** Value.from_int(Int(2))\n", + " + (_Value_3 * _Value_5 - _Value_6 * _Value_2) ** Value.from_int(Int(2))\n", + " + (_Value_6 * _Value_4 - _Value_1 * _Value_5) ** Value.from_int(Int(2))\n", + " )\n", + " / (_Value_6 ** Value.from_int(Int(2)) + _Value_1 ** Value.from_int(Int(2)) + _Value_3 ** Value.from_int(Int(2))) ** Value.from_int(Int(3))\n", + " )\n", + ")" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import egglog\n", + "import egglog.exp.array_api as enp\n", + "\n", + "Bp = enp.NDArray([enp.Value.var(f\"bp{i}\") for i in range(1, 5)])\n", + "Bpp = enp.NDArray([enp.Value.var(f\"bpp{i}\") for i in range(1, 5)])\n", + "Q = enp.NDArray([enp.Value.var(f\"q{i}\") for i in range(1, 13)])\n", + "FunctionBending = enp.NDArray(bending_function(Q, Bp, Bpp).eval())\n", + "FunctionBending" + ] + }, + { + "cell_type": "markdown", + "id": "b0f21146", + "metadata": {}, + "source": [ + "We can also compute its gradient with respect to `Q`, to give us an even larger expression." + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "1d4bd92b", + "metadata": {}, + "outputs": [], + "source": [ + "GradientBending = enp.NDArray(FunctionBending.diff(Q).eval())" + ] + }, + { + "cell_type": "markdown", + "id": "abdf0163", + "metadata": {}, + "source": [ + "Calling `eval` here will create the necessary e-graph with rewrites, add the expression, and reduce it to a simplified\n", + "form that only contains a rational expression with polynomial subexpressions.\n", + "\n", + "For the sake of this example, let's first fully \"distribute\" the polynomial we have. This means expanding it into a normal\n", + "form, by applying the distribute rule, so that `a(x + y)` becomes `ax + ay`. This is meant to simulate a worst-case scenario,\n", + "since the cost increases as we distribute, duplicating terms. This suffices to give us a large enough example to stress test our system:" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "dee69d9e", + "metadata": {}, + "outputs": [], + "source": [ + "@egglog.ruleset\n", + "def remove_subtraction(a: enp.Value, b: enp.Value):\n", + " yield egglog.rewrite(a - b, subsume=True).to(a + (-1) * b)\n", + "\n", + "\n", + "@egglog.ruleset\n", + "def distribute(a: enp.Value, b: enp.Value, c: enp.Value):\n", + " yield egglog.rewrite((a + b) * c, subsume=True).to(a * c + b * c)\n", + " yield egglog.rewrite(c * (a + b), subsume=True).to(c * a + c * b)" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "8b56437e", + "metadata": { + "tags": [ + "hide-output" + ] + }, + "outputs": [ + { + "data": { + "text/html": [ + "
_Value_1 = Value.var("q2") * Value.var("bp1")\n",
+       "_Value_2 = Value.var("q3") * Value.var("bpp1")\n",
+       "_Value_3 = Value.var("q6") * Value.var("bpp2")\n",
+       "_Value_4 = Value.var("q9") * Value.var("bpp3")\n",
+       "_Value_5 = Value.var("q12") * Value.var("bpp4")\n",
+       "_Value_6 = Value.var("q5") * Value.var("bp2")\n",
+       "_Value_7 = Value.var("q8") * Value.var("bp3")\n",
+       "_Value_8 = Value.var("q11") * Value.var("bp4")\n",
+       "_Value_9 = Value.from_int(Int(-1))\n",
+       "_Value_10 = Value.var("q3") * Value.var("bp1")\n",
+       "_Value_11 = Value.var("q2") * Value.var("bpp1")\n",
+       "_Value_12 = Value.var("q5") * Value.var("bpp2")\n",
+       "_Value_13 = Value.var("q8") * Value.var("bpp3")\n",
+       "_Value_14 = Value.var("q11") * Value.var("bpp4")\n",
+       "_Value_15 = Value.var("q6") * Value.var("bp2")\n",
+       "_Value_16 = Value.var("q9") * Value.var("bp3")\n",
+       "_Value_17 = Value.var("q12") * Value.var("bp4")\n",
+       "_Value_18 = Value.var("q1") * Value.var("bpp1")\n",
+       "_Value_19 = Value.var("q4") * Value.var("bpp2")\n",
+       "_Value_20 = Value.var("q7") * Value.var("bpp3")\n",
+       "_Value_21 = Value.var("q10") * Value.var("bpp4")\n",
+       "_Value_22 = Value.var("q1") * Value.var("bp1")\n",
+       "_Value_23 = Value.var("q4") * Value.var("bp2")\n",
+       "_Value_24 = Value.var("q7") * Value.var("bp3")\n",
+       "_Value_25 = Value.var("q10") * Value.var("bp4")\n",
+       "NDArray(\n",
+       "    RecursiveValue(\n",
+       "        (\n",
+       "            (\n",
+       "                _Value_1 * _Value_2\n",
+       "                + _Value_1 * _Value_3\n",
+       "                + _Value_1 * _Value_4\n",
+       "                + _Value_1 * _Value_5\n",
+       "                + (_Value_6 * _Value_2 + _Value_6 * _Value_3 + _Value_6 * _Value_4 + _Value_6 * _Value_5)\n",
+       "                + (_Value_7 * _Value_2 + _Value_7 * _Value_3 + _Value_7 * _Value_4 + _Value_7 * _Value_5)\n",
+       "                + (_Value_8 * _Value_2 + _Value_8 * _Value_3 + _Value_8 * _Value_4 + _Value_8 * _Value_5)\n",
+       "                + (\n",
+       "                    _Value_9 * (_Value_10 * _Value_11)\n",
+       "                    + _Value_9 * (_Value_10 * _Value_12)\n",
+       "                    + _Value_9 * (_Value_10 * _Value_13)\n",
+       "                    + _Value_9 * (_Value_10 * _Value_14)\n",
+       "                    + (_Value_9 * (_Value_15 * _Value_11) + _Value_9 * (_Value_15 * _Value_12) + _Value_9 * (_Value_15 * _Value_13) + _Value_9 * (_Value_15 * _Value_14))\n",
+       "                    + (_Value_9 * (_Value_16 * _Value_11) + _Value_9 * (_Value_16 * _Value_12) + _Value_9 * (_Value_16 * _Value_13) + _Value_9 * (_Value_16 * _Value_14))\n",
+       "                    + (_Value_9 * (_Value_17 * _Value_11) + _Value_9 * (_Value_17 * _Value_12) + _Value_9 * (_Value_17 * _Value_13) + _Value_9 * (_Value_17 * _Value_14))\n",
+       "                )\n",
+       "            )\n",
+       "            ** Value.from_int(Int(2))\n",
+       "            + (\n",
+       "                _Value_10 * _Value_18\n",
+       "                + _Value_10 * _Value_19\n",
+       "                + _Value_10 * _Value_20\n",
+       "                + _Value_10 * _Value_21\n",
+       "                + (_Value_15 * _Value_18 + _Value_15 * _Value_19 + _Value_15 * _Value_20 + _Value_15 * _Value_21)\n",
+       "                + (_Value_16 * _Value_18 + _Value_16 * _Value_19 + _Value_16 * _Value_20 + _Value_16 * _Value_21)\n",
+       "                + (_Value_17 * _Value_18 + _Value_17 * _Value_19 + _Value_17 * _Value_20 + _Value_17 * _Value_21)\n",
+       "                + (\n",
+       "                    _Value_9 * (_Value_22 * _Value_2)\n",
+       "                    + _Value_9 * (_Value_22 * _Value_3)\n",
+       "                    + _Value_9 * (_Value_22 * _Value_4)\n",
+       "                    + _Value_9 * (_Value_22 * _Value_5)\n",
+       "                    + (_Value_9 * (_Value_23 * _Value_2) + _Value_9 * (_Value_23 * _Value_3) + _Value_9 * (_Value_23 * _Value_4) + _Value_9 * (_Value_23 * _Value_5))\n",
+       "                    + (_Value_9 * (_Value_24 * _Value_2) + _Value_9 * (_Value_24 * _Value_3) + _Value_9 * (_Value_24 * _Value_4) + _Value_9 * (_Value_24 * _Value_5))\n",
+       "                    + (_Value_9 * (_Value_25 * _Value_2) + _Value_9 * (_Value_25 * _Value_3) + _Value_9 * (_Value_25 * _Value_4) + _Value_9 * (_Value_25 * _Value_5))\n",
+       "                )\n",
+       "            )\n",
+       "            ** Value.from_int(Int(2))\n",
+       "            + (\n",
+       "                _Value_22 * _Value_11\n",
+       "                + _Value_22 * _Value_12\n",
+       "                + _Value_22 * _Value_13\n",
+       "                + _Value_22 * _Value_14\n",
+       "                + (_Value_23 * _Value_11 + _Value_23 * _Value_12 + _Value_23 * _Value_13 + _Value_23 * _Value_14)\n",
+       "                + (_Value_24 * _Value_11 + _Value_24 * _Value_12 + _Value_24 * _Value_13 + _Value_24 * _Value_14)\n",
+       "                + (_Value_25 * _Value_11 + _Value_25 * _Value_12 + _Value_25 * _Value_13 + _Value_25 * _Value_14)\n",
+       "                + (\n",
+       "                    _Value_9 * (_Value_1 * _Value_18)\n",
+       "                    + _Value_9 * (_Value_1 * _Value_19)\n",
+       "                    + _Value_9 * (_Value_1 * _Value_20)\n",
+       "                    + _Value_9 * (_Value_1 * _Value_21)\n",
+       "                    + (_Value_9 * (_Value_6 * _Value_18) + _Value_9 * (_Value_6 * _Value_19) + _Value_9 * (_Value_6 * _Value_20) + _Value_9 * (_Value_6 * _Value_21))\n",
+       "                    + (_Value_9 * (_Value_7 * _Value_18) + _Value_9 * (_Value_7 * _Value_19) + _Value_9 * (_Value_7 * _Value_20) + _Value_9 * (_Value_7 * _Value_21))\n",
+       "                    + (_Value_9 * (_Value_8 * _Value_18) + _Value_9 * (_Value_8 * _Value_19) + _Value_9 * (_Value_8 * _Value_20) + _Value_9 * (_Value_8 * _Value_21))\n",
+       "                )\n",
+       "            )\n",
+       "            ** Value.from_int(Int(2))\n",
+       "        )\n",
+       "        / (\n",
+       "            (_Value_22 + _Value_23 + _Value_24 + _Value_25) ** Value.from_int(Int(2))\n",
+       "            + (_Value_1 + _Value_6 + _Value_7 + _Value_8) ** Value.from_int(Int(2))\n",
+       "            + (_Value_10 + _Value_15 + _Value_16 + _Value_17) ** Value.from_int(Int(2))\n",
+       "        )\n",
+       "        ** Value.from_int(Int(3))\n",
+       "    )\n",
+       ")\n",
+       "
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\\PY{n}{Value}\\PY{o}{.}\\PY{n}{from\\PYZus{}int}\\PY{p}{(}\\PY{n}{Int}\\PY{p}{(}\\PY{l+m+mi}{2}\\PY{p}{)}\\PY{p}{)}\n", + " \\PY{o}{+} \\PY{p}{(}\\PY{n}{\\PYZus{}Value\\PYZus{}1} \\PY{o}{+} \\PY{n}{\\PYZus{}Value\\PYZus{}6} \\PY{o}{+} \\PY{n}{\\PYZus{}Value\\PYZus{}7} \\PY{o}{+} \\PY{n}{\\PYZus{}Value\\PYZus{}8}\\PY{p}{)} \\PY{o}{*}\\PY{o}{*} \\PY{n}{Value}\\PY{o}{.}\\PY{n}{from\\PYZus{}int}\\PY{p}{(}\\PY{n}{Int}\\PY{p}{(}\\PY{l+m+mi}{2}\\PY{p}{)}\\PY{p}{)}\n", + " \\PY{o}{+} \\PY{p}{(}\\PY{n}{\\PYZus{}Value\\PYZus{}10} \\PY{o}{+} \\PY{n}{\\PYZus{}Value\\PYZus{}15} \\PY{o}{+} \\PY{n}{\\PYZus{}Value\\PYZus{}16} \\PY{o}{+} \\PY{n}{\\PYZus{}Value\\PYZus{}17}\\PY{p}{)} \\PY{o}{*}\\PY{o}{*} \\PY{n}{Value}\\PY{o}{.}\\PY{n}{from\\PYZus{}int}\\PY{p}{(}\\PY{n}{Int}\\PY{p}{(}\\PY{l+m+mi}{2}\\PY{p}{)}\\PY{p}{)}\n", + " \\PY{p}{)}\n", + " \\PY{o}{*}\\PY{o}{*} \\PY{n}{Value}\\PY{o}{.}\\PY{n}{from\\PYZus{}int}\\PY{p}{(}\\PY{n}{Int}\\PY{p}{(}\\PY{l+m+mi}{3}\\PY{p}{)}\\PY{p}{)}\n", + " \\PY{p}{)}\n", + "\\PY{p}{)}\n", + "\\end{Verbatim}\n" + ], + "text/plain": [ + "_Value_1 = Value.var(\"q2\") * Value.var(\"bp1\")\n", + "_Value_2 = Value.var(\"q3\") * Value.var(\"bpp1\")\n", + "_Value_3 = Value.var(\"q6\") * Value.var(\"bpp2\")\n", + "_Value_4 = Value.var(\"q9\") * Value.var(\"bpp3\")\n", + "_Value_5 = Value.var(\"q12\") * Value.var(\"bpp4\")\n", + "_Value_6 = Value.var(\"q5\") * Value.var(\"bp2\")\n", + "_Value_7 = Value.var(\"q8\") * Value.var(\"bp3\")\n", + "_Value_8 = Value.var(\"q11\") * Value.var(\"bp4\")\n", + "_Value_9 = Value.from_int(Int(-1))\n", + "_Value_10 = Value.var(\"q3\") * Value.var(\"bp1\")\n", + "_Value_11 = Value.var(\"q2\") * Value.var(\"bpp1\")\n", + "_Value_12 = Value.var(\"q5\") * Value.var(\"bpp2\")\n", + "_Value_13 = Value.var(\"q8\") * Value.var(\"bpp3\")\n", + "_Value_14 = Value.var(\"q11\") * Value.var(\"bpp4\")\n", + "_Value_15 = Value.var(\"q6\") * Value.var(\"bp2\")\n", + "_Value_16 = Value.var(\"q9\") * Value.var(\"bp3\")\n", + "_Value_17 = Value.var(\"q12\") * Value.var(\"bp4\")\n", + "_Value_18 = Value.var(\"q1\") * Value.var(\"bpp1\")\n", + "_Value_19 = Value.var(\"q4\") * Value.var(\"bpp2\")\n", + "_Value_20 = Value.var(\"q7\") * Value.var(\"bpp3\")\n", + "_Value_21 = Value.var(\"q10\") * Value.var(\"bpp4\")\n", + "_Value_22 = Value.var(\"q1\") * Value.var(\"bp1\")\n", + "_Value_23 = Value.var(\"q4\") * Value.var(\"bp2\")\n", + "_Value_24 = Value.var(\"q7\") * Value.var(\"bp3\")\n", + "_Value_25 = Value.var(\"q10\") * Value.var(\"bp4\")\n", + "NDArray(\n", + " RecursiveValue(\n", + " (\n", + " (\n", + " _Value_1 * _Value_2\n", + " + _Value_1 * _Value_3\n", + " + _Value_1 * _Value_4\n", + " + _Value_1 * _Value_5\n", + " + (_Value_6 * _Value_2 + _Value_6 * _Value_3 + _Value_6 * _Value_4 + _Value_6 * _Value_5)\n", + " + (_Value_7 * _Value_2 + _Value_7 * _Value_3 + _Value_7 * _Value_4 + _Value_7 * _Value_5)\n", + " + (_Value_8 * _Value_2 + _Value_8 * _Value_3 + _Value_8 * _Value_4 + _Value_8 * _Value_5)\n", + " + (\n", + " _Value_9 * (_Value_10 * _Value_11)\n", + " + _Value_9 * (_Value_10 * _Value_12)\n", + " + _Value_9 * (_Value_10 * _Value_13)\n", + " + _Value_9 * (_Value_10 * _Value_14)\n", + " + (_Value_9 * (_Value_15 * _Value_11) + _Value_9 * (_Value_15 * _Value_12) + _Value_9 * (_Value_15 * _Value_13) + _Value_9 * (_Value_15 * _Value_14))\n", + " + (_Value_9 * (_Value_16 * _Value_11) + _Value_9 * (_Value_16 * _Value_12) + _Value_9 * (_Value_16 * _Value_13) + _Value_9 * (_Value_16 * _Value_14))\n", + " + (_Value_9 * (_Value_17 * _Value_11) + _Value_9 * (_Value_17 * _Value_12) + _Value_9 * (_Value_17 * _Value_13) + _Value_9 * (_Value_17 * _Value_14))\n", + " )\n", + " )\n", + " ** Value.from_int(Int(2))\n", + " + (\n", + " _Value_10 * _Value_18\n", + " + _Value_10 * _Value_19\n", + " + _Value_10 * _Value_20\n", + " + _Value_10 * _Value_21\n", + " + (_Value_15 * _Value_18 + _Value_15 * _Value_19 + _Value_15 * _Value_20 + _Value_15 * _Value_21)\n", + " + (_Value_16 * _Value_18 + _Value_16 * _Value_19 + _Value_16 * _Value_20 + _Value_16 * _Value_21)\n", + " + (_Value_17 * _Value_18 + _Value_17 * _Value_19 + _Value_17 * _Value_20 + _Value_17 * _Value_21)\n", + " + (\n", + " _Value_9 * (_Value_22 * _Value_2)\n", + " + _Value_9 * (_Value_22 * _Value_3)\n", + " + _Value_9 * (_Value_22 * _Value_4)\n", + " + _Value_9 * (_Value_22 * _Value_5)\n", + " + (_Value_9 * (_Value_23 * _Value_2) + _Value_9 * (_Value_23 * _Value_3) + _Value_9 * (_Value_23 * _Value_4) + _Value_9 * (_Value_23 * _Value_5))\n", + " + (_Value_9 * (_Value_24 * _Value_2) + _Value_9 * (_Value_24 * _Value_3) + _Value_9 * (_Value_24 * _Value_4) + _Value_9 * (_Value_24 * _Value_5))\n", + " + (_Value_9 * (_Value_25 * _Value_2) + _Value_9 * (_Value_25 * _Value_3) + _Value_9 * (_Value_25 * _Value_4) + _Value_9 * (_Value_25 * _Value_5))\n", + " )\n", + " )\n", + " ** Value.from_int(Int(2))\n", + " + (\n", + " _Value_22 * _Value_11\n", + " + _Value_22 * _Value_12\n", + " + _Value_22 * _Value_13\n", + " + _Value_22 * _Value_14\n", + " + (_Value_23 * _Value_11 + _Value_23 * _Value_12 + _Value_23 * _Value_13 + _Value_23 * _Value_14)\n", + " + (_Value_24 * _Value_11 + _Value_24 * _Value_12 + _Value_24 * _Value_13 + _Value_24 * _Value_14)\n", + " + (_Value_25 * _Value_11 + _Value_25 * _Value_12 + _Value_25 * _Value_13 + _Value_25 * _Value_14)\n", + " + (\n", + " _Value_9 * (_Value_1 * _Value_18)\n", + " + _Value_9 * (_Value_1 * _Value_19)\n", + " + _Value_9 * (_Value_1 * _Value_20)\n", + " + _Value_9 * (_Value_1 * _Value_21)\n", + " + (_Value_9 * (_Value_6 * _Value_18) + _Value_9 * (_Value_6 * _Value_19) + _Value_9 * (_Value_6 * _Value_20) + _Value_9 * (_Value_6 * _Value_21))\n", + " + (_Value_9 * (_Value_7 * _Value_18) + _Value_9 * (_Value_7 * _Value_19) + _Value_9 * (_Value_7 * _Value_20) + _Value_9 * (_Value_7 * _Value_21))\n", + " + (_Value_9 * (_Value_8 * _Value_18) + _Value_9 * (_Value_8 * _Value_19) + _Value_9 * (_Value_8 * _Value_20) + _Value_9 * (_Value_8 * _Value_21))\n", + " )\n", + " )\n", + " ** Value.from_int(Int(2))\n", + " )\n", + " / (\n", + " (_Value_22 + _Value_23 + _Value_24 + _Value_25) ** Value.from_int(Int(2))\n", + " + (_Value_1 + _Value_6 + _Value_7 + _Value_8) ** Value.from_int(Int(2))\n", + " + (_Value_10 + _Value_15 + _Value_16 + _Value_17) ** Value.from_int(Int(2))\n", + " )\n", + " ** Value.from_int(Int(3))\n", + " )\n", + ")" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "egraph = egglog.EGraph()\n", + "egraph.register(FunctionBending)\n", + "egraph.run(remove_subtraction.saturate() + distribute.saturate())\n", + "FunctionBending_distributed = egraph.extract(FunctionBending)\n", + "\n", + "gradient_egraph = egglog.EGraph()\n", + "gradient_egraph.register(GradientBending)\n", + "gradient_egraph.run(remove_subtraction.saturate() + distribute.saturate())\n", + "GradientBending_distributed = gradient_egraph.extract(GradientBending)\n", + "FunctionBending_distributed" + ] + }, + { + "cell_type": "markdown", + "id": "8750436e", + "metadata": {}, + "source": [ + "We now have an expression that is mainly a sum of products, a multivariate polynomial.\n", + "\n", + "For some sense of their size, the `FunctionBending` has initial cost of 401 and the `GradientBending` has 20,570.\n", + "This cost is produced by the Egglog extractor, corresponding roughly to one node per op like `*` and one per variable as a tree.\n", + "This is meant to reflect roughly the cost to compute the expression, so a lower an expression with a lower cost would run faster.\n", + "\n", + "One way to lower the cost of a polynomial is to factor it, so that `ax + ay` becomes `a(x + y)`. This is the same as applying the distributivity rule in reverse.\n", + "There are however many equivalent factorizations, and some may be better than others.\n", + "One way to use egglog to optimize this space would be to add in the associativity, commutativity, and distributivity rules and run it until saturation, and extract\n", + "out the lowest cost:" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "c4b47d4d", + "metadata": { + "tags": [ + "hide-output" + ] + }, + "outputs": [ + { + "data": { + "text/html": [ + "
_Value_1 = Value.var("q3") * Value.var("bpp1") + Value.var("q6") * Value.var("bpp2") + Value.var("q9") * Value.var("bpp3") + Value.var("q12") * Value.var("bpp4")\n",
+       "_Value_2 = Value.var("q2") * Value.var("bp1") + Value.var("q5") * Value.var("bp2") + Value.var("q8") * Value.var("bp3") + Value.var("q11") * Value.var("bp4")\n",
+       "_Value_3 = Value.var("q2") * Value.var("bpp1") + Value.var("q5") * Value.var("bpp2") + Value.var("q8") * Value.var("bpp3") + Value.var("q11") * Value.var("bpp4")\n",
+       "_Value_4 = Value.var("q3") * Value.var("bp1") + Value.var("q6") * Value.var("bp2") + Value.var("q9") * Value.var("bp3") + Value.var("q12") * Value.var("bp4")\n",
+       "_Value_5 = Value.var("q1") * Value.var("bpp1") + Value.var("q4") * Value.var("bpp2") + Value.var("q7") * Value.var("bpp3") + Value.var("q10") * Value.var("bpp4")\n",
+       "_Value_6 = Value.var("q1") * Value.var("bp1") + Value.var("q4") * Value.var("bp2") + Value.var("q7") * Value.var("bp3") + Value.var("q10") * Value.var("bp4")\n",
+       "NDArray(\n",
+       "    RecursiveValue(\n",
+       "        (\n",
+       "            (_Value_1 * _Value_2 + _Value_3 * _Value_4 * Value.from_int(Int(-1))) ** Value.from_int(Int(2))\n",
+       "            + (_Value_5 * _Value_4 + _Value_1 * _Value_6 * Value.from_int(Int(-1))) ** Value.from_int(Int(2))\n",
+       "            + (_Value_3 * _Value_6 + _Value_5 * _Value_2 * Value.from_int(Int(-1))) ** Value.from_int(Int(2))\n",
+       "        )\n",
+       "        / (_Value_6 ** Value.from_int(Int(2)) + _Value_2 ** Value.from_int(Int(2)) + _Value_4 ** Value.from_int(Int(2))) ** Value.from_int(Int(3))\n",
+       "    )\n",
+       ")\n",
+       "
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\\PY{p}{(}\n", + " \\PY{p}{(}\\PY{n}{\\PYZus{}Value\\PYZus{}1} \\PY{o}{*} \\PY{n}{\\PYZus{}Value\\PYZus{}2} \\PY{o}{+} \\PY{n}{\\PYZus{}Value\\PYZus{}3} \\PY{o}{*} \\PY{n}{\\PYZus{}Value\\PYZus{}4} \\PY{o}{*} \\PY{n}{Value}\\PY{o}{.}\\PY{n}{from\\PYZus{}int}\\PY{p}{(}\\PY{n}{Int}\\PY{p}{(}\\PY{o}{\\PYZhy{}}\\PY{l+m+mi}{1}\\PY{p}{)}\\PY{p}{)}\\PY{p}{)} \\PY{o}{*}\\PY{o}{*} \\PY{n}{Value}\\PY{o}{.}\\PY{n}{from\\PYZus{}int}\\PY{p}{(}\\PY{n}{Int}\\PY{p}{(}\\PY{l+m+mi}{2}\\PY{p}{)}\\PY{p}{)}\n", + " \\PY{o}{+} \\PY{p}{(}\\PY{n}{\\PYZus{}Value\\PYZus{}5} \\PY{o}{*} \\PY{n}{\\PYZus{}Value\\PYZus{}4} \\PY{o}{+} \\PY{n}{\\PYZus{}Value\\PYZus{}1} \\PY{o}{*} \\PY{n}{\\PYZus{}Value\\PYZus{}6} \\PY{o}{*} \\PY{n}{Value}\\PY{o}{.}\\PY{n}{from\\PYZus{}int}\\PY{p}{(}\\PY{n}{Int}\\PY{p}{(}\\PY{o}{\\PYZhy{}}\\PY{l+m+mi}{1}\\PY{p}{)}\\PY{p}{)}\\PY{p}{)} \\PY{o}{*}\\PY{o}{*} \\PY{n}{Value}\\PY{o}{.}\\PY{n}{from\\PYZus{}int}\\PY{p}{(}\\PY{n}{Int}\\PY{p}{(}\\PY{l+m+mi}{2}\\PY{p}{)}\\PY{p}{)}\n", + " \\PY{o}{+} \\PY{p}{(}\\PY{n}{\\PYZus{}Value\\PYZus{}3} \\PY{o}{*} \\PY{n}{\\PYZus{}Value\\PYZus{}6} \\PY{o}{+} \\PY{n}{\\PYZus{}Value\\PYZus{}5} \\PY{o}{*} \\PY{n}{\\PYZus{}Value\\PYZus{}2} \\PY{o}{*} \\PY{n}{Value}\\PY{o}{.}\\PY{n}{from\\PYZus{}int}\\PY{p}{(}\\PY{n}{Int}\\PY{p}{(}\\PY{o}{\\PYZhy{}}\\PY{l+m+mi}{1}\\PY{p}{)}\\PY{p}{)}\\PY{p}{)} \\PY{o}{*}\\PY{o}{*} \\PY{n}{Value}\\PY{o}{.}\\PY{n}{from\\PYZus{}int}\\PY{p}{(}\\PY{n}{Int}\\PY{p}{(}\\PY{l+m+mi}{2}\\PY{p}{)}\\PY{p}{)}\n", + " \\PY{p}{)}\n", + " \\PY{o}{/} \\PY{p}{(}\\PY{n}{\\PYZus{}Value\\PYZus{}6} \\PY{o}{*}\\PY{o}{*} \\PY{n}{Value}\\PY{o}{.}\\PY{n}{from\\PYZus{}int}\\PY{p}{(}\\PY{n}{Int}\\PY{p}{(}\\PY{l+m+mi}{2}\\PY{p}{)}\\PY{p}{)} \\PY{o}{+} \\PY{n}{\\PYZus{}Value\\PYZus{}2} \\PY{o}{*}\\PY{o}{*} \\PY{n}{Value}\\PY{o}{.}\\PY{n}{from\\PYZus{}int}\\PY{p}{(}\\PY{n}{Int}\\PY{p}{(}\\PY{l+m+mi}{2}\\PY{p}{)}\\PY{p}{)} \\PY{o}{+} \\PY{n}{\\PYZus{}Value\\PYZus{}4} \\PY{o}{*}\\PY{o}{*} \\PY{n}{Value}\\PY{o}{.}\\PY{n}{from\\PYZus{}int}\\PY{p}{(}\\PY{n}{Int}\\PY{p}{(}\\PY{l+m+mi}{2}\\PY{p}{)}\\PY{p}{)}\\PY{p}{)} \\PY{o}{*}\\PY{o}{*} \\PY{n}{Value}\\PY{o}{.}\\PY{n}{from\\PYZus{}int}\\PY{p}{(}\\PY{n}{Int}\\PY{p}{(}\\PY{l+m+mi}{3}\\PY{p}{)}\\PY{p}{)}\n", + " \\PY{p}{)}\n", + "\\PY{p}{)}\n", + "\\end{Verbatim}\n" + ], + "text/plain": [ + "_Value_1 = Value.var(\"q3\") * Value.var(\"bpp1\") + Value.var(\"q6\") * Value.var(\"bpp2\") + Value.var(\"q9\") * Value.var(\"bpp3\") + Value.var(\"q12\") * Value.var(\"bpp4\")\n", + "_Value_2 = Value.var(\"q2\") * Value.var(\"bp1\") + Value.var(\"q5\") * Value.var(\"bp2\") + Value.var(\"q8\") * Value.var(\"bp3\") + Value.var(\"q11\") * Value.var(\"bp4\")\n", + "_Value_3 = Value.var(\"q2\") * Value.var(\"bpp1\") + Value.var(\"q5\") * Value.var(\"bpp2\") + Value.var(\"q8\") * Value.var(\"bpp3\") + Value.var(\"q11\") * Value.var(\"bpp4\")\n", + "_Value_4 = Value.var(\"q3\") * Value.var(\"bp1\") + Value.var(\"q6\") * Value.var(\"bp2\") + Value.var(\"q9\") * Value.var(\"bp3\") + Value.var(\"q12\") * Value.var(\"bp4\")\n", + "_Value_5 = Value.var(\"q1\") * Value.var(\"bpp1\") + Value.var(\"q4\") * Value.var(\"bpp2\") + Value.var(\"q7\") * Value.var(\"bpp3\") + Value.var(\"q10\") * Value.var(\"bpp4\")\n", + "_Value_6 = Value.var(\"q1\") * Value.var(\"bp1\") + Value.var(\"q4\") * Value.var(\"bp2\") + Value.var(\"q7\") * Value.var(\"bp3\") + Value.var(\"q10\") * Value.var(\"bp4\")\n", + "NDArray(\n", + " RecursiveValue(\n", + " (\n", + " (_Value_1 * _Value_2 + _Value_3 * _Value_4 * Value.from_int(Int(-1))) ** Value.from_int(Int(2))\n", + " + (_Value_5 * _Value_4 + _Value_1 * _Value_6 * Value.from_int(Int(-1))) ** Value.from_int(Int(2))\n", + " + (_Value_3 * _Value_6 + _Value_5 * _Value_2 * Value.from_int(Int(-1))) ** Value.from_int(Int(2))\n", + " )\n", + " / (_Value_6 ** Value.from_int(Int(2)) + _Value_2 ** Value.from_int(Int(2)) + _Value_4 ** Value.from_int(Int(2))) ** Value.from_int(Int(3))\n", + " )\n", + ")" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "@egglog.ruleset\n", + "def factoring(a: enp.Value, b: enp.Value, c: enp.Value):\n", + " yield egglog.birewrite((a + b) * c).to(a * c + b * c)\n", + " yield egglog.rewrite(a * b).to(b * a)\n", + " yield egglog.rewrite(a + b).to(b + a)\n", + " yield egglog.birewrite(a * (b * c)).to((a * b) * c)\n", + "\n", + "\n", + "egraph.run(factoring.saturate())\n", + "egraph.extract(FunctionBending_distributed)" + ] + }, + { + "cell_type": "markdown", + "id": "63a9b173", + "metadata": {}, + "source": [ + "For the `FunctionBending` example, this works fine, taking about a tenth of a second to saturate and then extract out the smallest one.\n", + "\n", + "However, if we use the `GradientBending`, each iteration will take longer and longer. Cutting it off after 10 second per iteration,\n", + "we get through only three of them and the e-graph is not saturated. It will have decreased the cost to 2,126,268 from the original of\n", + "4,250,786. However, it will also have increased the number of nodes in the e-graph from 588,125 originally to\n", + "2,583,064. This blow is due to the evaluation of associativity and commutativity rules.\n", + "\n", + "The gradient is also only the first derivative of the function bending. In the real workload from the paper,\n", + "we also need to compute the second derivative and ideally consider it as part of a larger expression.\n", + "So at least if we fully distribute first, trying to naively explore the entire search space of factorization through\n", + "associativity, commutativity, and distributivity rules is not really feasible for this type of expression.\n", + "\n", + "### Representing Polynomials with Multisets\n", + "\n", + "Taking a step back, the main space we want to explore here is the different options for factoring the expression. We\n", + "don't really care about which expression to pick due to associativity or commutativity since the cost will be the same (at this\n", + "point we are not considering common sub expression elimination and constant folding doesn't apply in this example).\n", + "We add those rules so that we can explore the space of factorizations through the distributivity rule.\n", + "\n", + "So what if instead we choose to represent a polynomial such that the form is agnostic to ordering or association?\n", + "To represent just a product of values, we need a single multiset, storing the exponent of each term as the count of the number times\n", + "that expression shows up in the product. For example, the expression `a * b * b` would be represented as the multiset `{a: 1, b: 2}`.\n", + "To represent a sum of products (aka a polynomial), we need a multiset of multisets, where each inner multiset is a monomial, and the outer multiset is the sum of these monomials, with the counts holding the multiple of each.\n", + "For example, the expression `2 * a * b + 3 * a**2` would be represented as the multiset of multisets `{ {a: 1, b: 1}: 2, {a: 2}: 3}`.\n", + "\n", + "We can add a new function to construct values from this represent:\n", + "\n", + "```python\n", + "@function\n", + "def polynomial(x: MultiSet[MultiSet[Value]]) -> Value: ...\n", + "```\n", + "\n", + "Our first task then is to translate between our binary operations and this multiset form.\n", + "The first couple of rules are relatively straightforward, just converting addition, multiplication, and exponentiation to the\n", + "corresponding forms, along with saving some analysis on terms that we will use later. This is a one way translation, so\n", + "we can also delete the source terms once we match them, so extraction doesn't match them. We create a ruleset to do this translation:\n", + "\n", + "```python\n", + "@function(merge=lambda old, new: new)\n", + "def get_monomial(x: Value) -> MultiSet[Value]:\n", + " \"\"\"\n", + " Will be defined on all polynomials with exactly one monomial created in `to_polynomial_ruleset`:\n", + "\n", + " get_monomial(polynomial(MultiSet(xs))) => xs\n", + " \"\"\"\n", + "\n", + "\n", + "@function(merge=lambda old, new: new)\n", + "def get_sole_polynomial(xs: MultiSet[Value]) -> MultiSet[MultiSet[Value]]:\n", + " \"\"\"\n", + " Will be defined on all monomials that contain a single polynomial created in `to_polynomial_ruleset`:\n", + "\n", + " get_sole_polynomial(MultiSet(polynomial(xss))) => xss\n", + " \"\"\"\n", + "\n", + "@ruleset\n", + "def to_polynomial_ruleset(\n", + " n1: Value,\n", + " n2: Value,\n", + " n3: Value,\n", + " i: i64,\n", + " ms: MultiSet[Value],\n", + " mss: MultiSet[MultiSet[Value]],\n", + " mss1: MultiSet[MultiSet[Value]],\n", + "):\n", + " yield rule(\n", + " eq(n3).to(n1 + n2),\n", + " eq(mss).to(MultiSet(MultiSet(n1), MultiSet(n2))),\n", + " name=\"add\",\n", + " ).then(\n", + " union(n3).with_(polynomial(mss)),\n", + " set_(get_sole_polynomial(MultiSet(polynomial(mss)))).to(mss),\n", + " delete(n1 + n2),\n", + " )\n", + " yield rule(\n", + " eq(n3).to(n1 * n2),\n", + " eq(ms).to(MultiSet(n1, n2)),\n", + " name=\"mul\",\n", + " ).then(\n", + " union(n3).with_(polynomial(MultiSet(ms))),\n", + " set_(get_monomial(polynomial(MultiSet(ms)))).to(ms),\n", + " delete(n1 * n2),\n", + " )\n", + " yield rule(\n", + " eq(n3).to(n1**i),\n", + " i >= 0,\n", + " eq(ms).to(MultiSet.single(n1, i)),\n", + " name=\"pow\",\n", + " ).then(\n", + " union(n3).with_(polynomial(MultiSet(ms))),\n", + " set_(get_monomial(polynomial(MultiSet(ms)))).to(ms),\n", + " delete(n1**i),\n", + " )\n", + "```\n", + "\n", + "When applying this ruleset we will replace binary operations with multiset values, but they will be unnecessarily\n", + "nested. For example, we might end up with a term like `polynomial(MultiSet(MultiSet(polynomial(xs))))`, which should be replaced\n", + "with just `polynomial(xs)`. We define two additional rules to cover cases like this:\n", + "\n", + "```python\n", + " yield rule(\n", + " eq(n1).to(polynomial(mss)),\n", + " # For each monomial, if any of its terms is a polynomial with a single monomial, flatten\n", + " # that into the monomial, otherwise keep it as is\n", + " mss1 == mss.map(partial(multiset_flat_map, get_monomial)),\n", + " mss != mss1, # skip if this is a no-op\n", + " name=\"unwrap monomial\",\n", + " ).then(\n", + " union(n1).with_(polynomial(mss1)),\n", + " delete(polynomial(mss)),\n", + " set_(get_sole_polynomial(MultiSet(polynomial(mss1)))).to(mss1),\n", + " )\n", + " yield rule(\n", + " eq(n1).to(polynomial(mss)),\n", + " # If any of the monomials just has a single item which is a polynomial, then flatten that into the outer polynomial\n", + " mss1 == multiset_flat_map(UnstableFn(get_sole_polynomial), mss),\n", + " mss != mss1,\n", + " name=\"unwrap polynomial\",\n", + " ).then(\n", + " union(n1).with_(polynomial(mss1)),\n", + " delete(polynomial(mss)),\n", + " set_(get_sole_polynomial(MultiSet(polynomial(mss1)))).to(mss1),\n", + " )\n", + "```\n", + "\n", + "We have avoided the need to match inside of containers by instead using higher order functions to apply blockwise\n", + "operations that are executed in Rust during rule matching. We had to create the above analysis for the same reason,\n", + "we cannot create functions whose implementation is deferred until a later rewrite, they must be available at match time.\n", + "\n", + "After running these rulesets any subexpressions that contain only additions and multiplications will be turned into\n", + "flattened multisets, which is what we wanted to do in this section.\n", + "What's nice here is also if there are any other operations defined like `/`, this will work transparently\n", + "with them, making this type of analysis extensible as the system grows, since we only normalize polynomial subtrees. The\n", + "contents of their terms don't have to be limited to integers and variables:" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "994d6edf", + "metadata": { + "tags": [ + "remove-input" + ] + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "2144\n" + ] + }, + { + "data": { + "text/html": [ + "
_Value_1 = Value.var("bp1")\n",
+       "_Value_2 = Value.var("bpp1")\n",
+       "_Value_3 = Value.var("bpp2")\n",
+       "_Value_4 = Value.var("bpp3")\n",
+       "_Value_5 = Value.var("bpp4")\n",
+       "_Value_6 = Value.var("bp2")\n",
+       "_Value_7 = Value.var("bp3")\n",
+       "_Value_8 = Value.var("bp4")\n",
+       "_Value_9 = Value.from_int(Int(-1))\n",
+       "_Value_10 = polynomial(\n",
+       "    MultiSet(\n",
+       "        MultiSet(Value.var("q3"), _Value_1, Value.var("q2"), _Value_2),\n",
+       "        MultiSet(_Value_3, _Value_1, Value.var("q6"), Value.var("q2")),\n",
+       "        MultiSet(_Value_1, Value.var("q2"), _Value_4, Value.var("q9")),\n",
+       "        MultiSet(_Value_1, Value.var("q2"), Value.var("q12"), _Value_5),\n",
+       "        MultiSet(Value.var("q5"), Value.var("q3"), _Value_2, _Value_6),\n",
+       "        MultiSet(Value.var("q5"), _Value_3, Value.var("q6"), _Value_6),\n",
+       "        MultiSet(Value.var("q5"), _Value_6, _Value_4, Value.var("q9")),\n",
+       "        MultiSet(Value.var("q5"), _Value_6, Value.var("q12"), _Value_5),\n",
+       "        MultiSet(Value.var("q3"), _Value_2, _Value_7, Value.var("q8")),\n",
+       "        MultiSet(_Value_3, Value.var("q6"), _Value_7, Value.var("q8")),\n",
+       "        MultiSet(_Value_7, Value.var("q8"), _Value_4, Value.var("q9")),\n",
+       "        MultiSet(_Value_7, Value.var("q8"), Value.var("q12"), _Value_5),\n",
+       "        MultiSet(Value.var("q3"), _Value_2, _Value_8, Value.var("q11")),\n",
+       "        MultiSet(_Value_3, Value.var("q6"), _Value_8, Value.var("q11")),\n",
+       "        MultiSet(_Value_4, Value.var("q9"), _Value_8, Value.var("q11")),\n",
+       "        MultiSet(Value.var("q12"), _Value_5, _Value_8, Value.var("q11")),\n",
+       "        MultiSet(Value.var("q3"), _Value_1, _Value_9, Value.var("q2"), _Value_2),\n",
+       "        MultiSet(Value.var("q5"), _Value_3, Value.var("q3"), _Value_1, _Value_9),\n",
+       "        MultiSet(Value.var("q3"), _Value_1, _Value_9, Value.var("q8"), _Value_4),\n",
+       "        MultiSet(Value.var("q3"), _Value_1, _Value_9, _Value_5, Value.var("q11")),\n",
+       "        MultiSet(_Value_9, Value.var("q6"), Value.var("q2"), _Value_2, _Value_6),\n",
+       "        MultiSet(Value.var("q5"), _Value_3, _Value_9, Value.var("q6"), _Value_6),\n",
+       "        MultiSet(_Value_9, Value.var("q6"), _Value_6, Value.var("q8"), _Value_4),\n",
+       "        MultiSet(_Value_9, Value.var("q6"), _Value_6, _Value_5, Value.var("q11")),\n",
+       "        MultiSet(_Value_9, Value.var("q2"), _Value_2, _Value_7, Value.var("q9")),\n",
+       "        MultiSet(Value.var("q5"), _Value_3, _Value_9, _Value_7, Value.var("q9")),\n",
+       "        MultiSet(_Value_9, _Value_7, Value.var("q8"), _Value_4, Value.var("q9")),\n",
+       "        MultiSet(_Value_9, _Value_7, Value.var("q9"), _Value_5, Value.var("q11")),\n",
+       "        MultiSet(_Value_9, Value.var("q2"), _Value_2, Value.var("q12"), _Value_8),\n",
+       "        MultiSet(Value.var("q5"), _Value_3, _Value_9, Value.var("q12"), _Value_8),\n",
+       "        MultiSet(_Value_9, Value.var("q8"), _Value_4, Value.var("q12"), _Value_8),\n",
+       "        MultiSet(_Value_9, Value.var("q12"), _Value_5, _Value_8, Value.var("q11")),\n",
+       "    )\n",
+       ")\n",
+       "_Value_11 = polynomial(\n",
+       "    MultiSet(\n",
+       "        MultiSet(Value.var("q3"), _Value_1, _Value_2, Value.var("q1")),\n",
+       "        MultiSet(_Value_3, Value.var("q3"), _Value_1, Value.var("q4")),\n",
+       "        MultiSet(Value.var("q3"), _Value_1, Value.var("q7"), _Value_4),\n",
+       "        MultiSet(Value.var("q3"), _Value_1, _Value_5, Value.var("q10")),\n",
+       "        MultiSet(Value.var("q6"), _Value_2, Value.var("q1"), _Value_6),\n",
+       "        MultiSet(_Value_3, Value.var("q6"), Value.var("q4"), _Value_6),\n",
+       "        MultiSet(Value.var("q6"), Value.var("q7"), _Value_6, _Value_4),\n",
+       "        MultiSet(Value.var("q6"), _Value_6, _Value_5, Value.var("q10")),\n",
+       "        MultiSet(_Value_2, Value.var("q1"), _Value_7, Value.var("q9")),\n",
+       "        MultiSet(_Value_3, _Value_7, Value.var("q4"), Value.var("q9")),\n",
+       "        MultiSet(Value.var("q7"), _Value_7, _Value_4, Value.var("q9")),\n",
+       "        MultiSet(_Value_7, Value.var("q9"), _Value_5, Value.var("q10")),\n",
+       "        MultiSet(_Value_2, Value.var("q1"), Value.var("q12"), _Value_8),\n",
+       "        MultiSet(_Value_3, Value.var("q4"), Value.var("q12"), _Value_8),\n",
+       "        MultiSet(Value.var("q7"), _Value_4, Value.var("q12"), _Value_8),\n",
+       "        MultiSet(Value.var("q12"), _Value_5, Value.var("q10"), _Value_8),\n",
+       "        MultiSet(Value.var("q3"), _Value_1, _Value_9, _Value_2, Value.var("q1")),\n",
+       "        MultiSet(_Value_3, _Value_1, _Value_9, Value.var("q6"), Value.var("q1")),\n",
+       "        MultiSet(_Value_1, _Value_9, Value.var("q1"), _Value_4, Value.var("q9")),\n",
+       "        MultiSet(_Value_1, _Value_9, Value.var("q1"), Value.var("q12"), _Value_5),\n",
+       "        MultiSet(Value.var("q3"), _Value_9, _Value_2, Value.var("q4"), _Value_6),\n",
+       "        MultiSet(_Value_3, _Value_9, Value.var("q6"), Value.var("q4"), _Value_6),\n",
+       "        MultiSet(_Value_9, Value.var("q4"), _Value_6, _Value_4, Value.var("q9")),\n",
+       "        MultiSet(_Value_9, Value.var("q4"), _Value_6, Value.var("q12"), _Value_5),\n",
+       "        MultiSet(Value.var("q3"), _Value_9, _Value_2, Value.var("q7"), _Value_7),\n",
+       "        MultiSet(_Value_3, _Value_9, Value.var("q6"), Value.var("q7"), _Value_7),\n",
+       "        MultiSet(_Value_9, Value.var("q7"), _Value_7, _Value_4, Value.var("q9")),\n",
+       "        MultiSet(_Value_9, Value.var("q7"), _Value_7, Value.var("q12"), _Value_5),\n",
+       "        MultiSet(Value.var("q3"), _Value_9, _Value_2, Value.var("q10"), _Value_8),\n",
+       "        MultiSet(_Value_3, _Value_9, Value.var("q6"), Value.var("q10"), _Value_8),\n",
+       "        MultiSet(_Value_9, _Value_4, Value.var("q9"), Value.var("q10"), _Value_8),\n",
+       "        MultiSet(_Value_9, Value.var("q12"), _Value_5, Value.var("q10"), _Value_8),\n",
+       "    )\n",
+       ")\n",
+       "_Value_12 = polynomial(\n",
+       "    MultiSet(\n",
+       "        MultiSet(_Value_1, Value.var("q2"), _Value_2, Value.var("q1")),\n",
+       "        MultiSet(Value.var("q5"), _Value_3, _Value_1, Value.var("q1")),\n",
+       "        MultiSet(_Value_1, Value.var("q1"), Value.var("q8"), _Value_4),\n",
+       "        MultiSet(_Value_1, Value.var("q1"), _Value_5, Value.var("q11")),\n",
+       "        MultiSet(Value.var("q2"), _Value_2, Value.var("q4"), _Value_6),\n",
+       "        MultiSet(Value.var("q5"), _Value_3, Value.var("q4"), _Value_6),\n",
+       "        MultiSet(Value.var("q4"), _Value_6, Value.var("q8"), _Value_4),\n",
+       "        MultiSet(Value.var("q4"), _Value_6, _Value_5, Value.var("q11")),\n",
+       "        MultiSet(Value.var("q2"), _Value_2, Value.var("q7"), _Value_7),\n",
+       "        MultiSet(Value.var("q5"), _Value_3, Value.var("q7"), _Value_7),\n",
+       "        MultiSet(Value.var("q7"), _Value_7, Value.var("q8"), _Value_4),\n",
+       "        MultiSet(Value.var("q7"), _Value_7, _Value_5, Value.var("q11")),\n",
+       "        MultiSet(Value.var("q2"), _Value_2, Value.var("q10"), _Value_8),\n",
+       "        MultiSet(Value.var("q5"), _Value_3, Value.var("q10"), _Value_8),\n",
+       "        MultiSet(Value.var("q8"), _Value_4, Value.var("q10"), _Value_8),\n",
+       "        MultiSet(_Value_5, Value.var("q10"), _Value_8, Value.var("q11")),\n",
+       "        MultiSet(_Value_1, _Value_9, Value.var("q2"), _Value_2, Value.var("q1")),\n",
+       "        MultiSet(_Value_3, _Value_1, _Value_9, Value.var("q2"), Value.var("q4")),\n",
+       "        MultiSet(_Value_1, _Value_9, Value.var("q2"), Value.var("q7"), _Value_4),\n",
+       "        MultiSet(_Value_1, _Value_9, Value.var("q2"), _Value_5, Value.var("q10")),\n",
+       "        MultiSet(Value.var("q5"), _Value_9, _Value_2, Value.var("q1"), _Value_6),\n",
+       "        MultiSet(Value.var("q5"), _Value_3, _Value_9, Value.var("q4"), _Value_6),\n",
+       "        MultiSet(Value.var("q5"), _Value_9, Value.var("q7"), _Value_6, _Value_4),\n",
+       "        MultiSet(Value.var("q5"), _Value_9, _Value_6, _Value_5, Value.var("q10")),\n",
+       "        MultiSet(_Value_9, _Value_2, Value.var("q1"), _Value_7, Value.var("q8")),\n",
+       "        MultiSet(_Value_3, _Value_9, _Value_7, Value.var("q4"), Value.var("q8")),\n",
+       "        MultiSet(_Value_9, Value.var("q7"), _Value_7, Value.var("q8"), _Value_4),\n",
+       "        MultiSet(_Value_9, _Value_7, Value.var("q8"), _Value_5, Value.var("q10")),\n",
+       "        MultiSet(_Value_9, _Value_2, Value.var("q1"), _Value_8, Value.var("q11")),\n",
+       "        MultiSet(_Value_3, _Value_9, Value.var("q4"), _Value_8, Value.var("q11")),\n",
+       "        MultiSet(_Value_9, Value.var("q7"), _Value_4, _Value_8, Value.var("q11")),\n",
+       "        MultiSet(_Value_9, _Value_5, Value.var("q10"), _Value_8, Value.var("q11")),\n",
+       "    )\n",
+       ")\n",
+       "_Value_13 = polynomial(\n",
+       "    MultiSet(MultiSet(Value.var("q7"), _Value_7), MultiSet(Value.var("q4"), _Value_6), MultiSet(_Value_1, Value.var("q1")), MultiSet(Value.var("q10"), _Value_8))\n",
+       ")\n",
+       "_Value_14 = polynomial(\n",
+       "    MultiSet(MultiSet(_Value_1, Value.var("q2")), MultiSet(Value.var("q5"), _Value_6), MultiSet(_Value_8, Value.var("q11")), MultiSet(_Value_7, Value.var("q8")))\n",
+       ")\n",
+       "_Value_15 = polynomial(\n",
+       "    MultiSet(MultiSet(Value.var("q3"), _Value_1), MultiSet(Value.var("q6"), _Value_6), MultiSet(Value.var("q12"), _Value_8), MultiSet(_Value_7, Value.var("q9")))\n",
+       ")\n",
+       "_Value_16 = polynomial(MultiSet(MultiSet(_Value_13, _Value_13), MultiSet(_Value_14, _Value_14), MultiSet(_Value_15, _Value_15)))\n",
+       "NDArray(\n",
+       "    RecursiveValue(\n",
+       "        polynomial(MultiSet(MultiSet(_Value_10, _Value_10), MultiSet(_Value_11, _Value_11), MultiSet(_Value_12, _Value_12)))\n",
+       "        / polynomial(MultiSet(MultiSet(_Value_16, _Value_16, _Value_16)))\n",
+       "    )\n",
+       ")\n",
+       "
\n" + ], + "text/latex": [ + "\\begin{Verbatim}[commandchars=\\\\\\{\\}]\n", + "\\PY{n}{\\PYZus{}Value\\PYZus{}1} \\PY{o}{=} \\PY{n}{Value}\\PY{o}{.}\\PY{n}{var}\\PY{p}{(}\\PY{l+s+s2}{\\PYZdq{}}\\PY{l+s+s2}{bp1}\\PY{l+s+s2}{\\PYZdq{}}\\PY{p}{)}\n", + "\\PY{n}{\\PYZus{}Value\\PYZus{}2} \\PY{o}{=} \\PY{n}{Value}\\PY{o}{.}\\PY{n}{var}\\PY{p}{(}\\PY{l+s+s2}{\\PYZdq{}}\\PY{l+s+s2}{bpp1}\\PY{l+s+s2}{\\PYZdq{}}\\PY{p}{)}\n", + "\\PY{n}{\\PYZus{}Value\\PYZus{}3} \\PY{o}{=} \\PY{n}{Value}\\PY{o}{.}\\PY{n}{var}\\PY{p}{(}\\PY{l+s+s2}{\\PYZdq{}}\\PY{l+s+s2}{bpp2}\\PY{l+s+s2}{\\PYZdq{}}\\PY{p}{)}\n", + "\\PY{n}{\\PYZus{}Value\\PYZus{}4} \\PY{o}{=} \\PY{n}{Value}\\PY{o}{.}\\PY{n}{var}\\PY{p}{(}\\PY{l+s+s2}{\\PYZdq{}}\\PY{l+s+s2}{bpp3}\\PY{l+s+s2}{\\PYZdq{}}\\PY{p}{)}\n", + "\\PY{n}{\\PYZus{}Value\\PYZus{}5} \\PY{o}{=} \\PY{n}{Value}\\PY{o}{.}\\PY{n}{var}\\PY{p}{(}\\PY{l+s+s2}{\\PYZdq{}}\\PY{l+s+s2}{bpp4}\\PY{l+s+s2}{\\PYZdq{}}\\PY{p}{)}\n", + "\\PY{n}{\\PYZus{}Value\\PYZus{}6} \\PY{o}{=} 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\\PY{n}{MultiSet}\\PY{p}{(}\\PY{n}{\\PYZus{}Value\\PYZus{}7}\\PY{p}{,} \\PY{n}{Value}\\PY{o}{.}\\PY{n}{var}\\PY{p}{(}\\PY{l+s+s2}{\\PYZdq{}}\\PY{l+s+s2}{q9}\\PY{l+s+s2}{\\PYZdq{}}\\PY{p}{)}\\PY{p}{)}\\PY{p}{)}\n", + "\\PY{p}{)}\n", + "\\PY{n}{\\PYZus{}Value\\PYZus{}16} \\PY{o}{=} \\PY{n}{polynomial}\\PY{p}{(}\\PY{n}{MultiSet}\\PY{p}{(}\\PY{n}{MultiSet}\\PY{p}{(}\\PY{n}{\\PYZus{}Value\\PYZus{}13}\\PY{p}{,} \\PY{n}{\\PYZus{}Value\\PYZus{}13}\\PY{p}{)}\\PY{p}{,} \\PY{n}{MultiSet}\\PY{p}{(}\\PY{n}{\\PYZus{}Value\\PYZus{}14}\\PY{p}{,} \\PY{n}{\\PYZus{}Value\\PYZus{}14}\\PY{p}{)}\\PY{p}{,} \\PY{n}{MultiSet}\\PY{p}{(}\\PY{n}{\\PYZus{}Value\\PYZus{}15}\\PY{p}{,} \\PY{n}{\\PYZus{}Value\\PYZus{}15}\\PY{p}{)}\\PY{p}{)}\\PY{p}{)}\n", + "\\PY{n}{NDArray}\\PY{p}{(}\n", + " \\PY{n}{RecursiveValue}\\PY{p}{(}\n", + " \\PY{n}{polynomial}\\PY{p}{(}\\PY{n}{MultiSet}\\PY{p}{(}\\PY{n}{MultiSet}\\PY{p}{(}\\PY{n}{\\PYZus{}Value\\PYZus{}10}\\PY{p}{,} \\PY{n}{\\PYZus{}Value\\PYZus{}10}\\PY{p}{)}\\PY{p}{,} \\PY{n}{MultiSet}\\PY{p}{(}\\PY{n}{\\PYZus{}Value\\PYZus{}11}\\PY{p}{,} \\PY{n}{\\PYZus{}Value\\PYZus{}11}\\PY{p}{)}\\PY{p}{,} \\PY{n}{MultiSet}\\PY{p}{(}\\PY{n}{\\PYZus{}Value\\PYZus{}12}\\PY{p}{,} \\PY{n}{\\PYZus{}Value\\PYZus{}12}\\PY{p}{)}\\PY{p}{)}\\PY{p}{)}\n", + " \\PY{o}{/} \\PY{n}{polynomial}\\PY{p}{(}\\PY{n}{MultiSet}\\PY{p}{(}\\PY{n}{MultiSet}\\PY{p}{(}\\PY{n}{\\PYZus{}Value\\PYZus{}16}\\PY{p}{,} \\PY{n}{\\PYZus{}Value\\PYZus{}16}\\PY{p}{,} \\PY{n}{\\PYZus{}Value\\PYZus{}16}\\PY{p}{)}\\PY{p}{)}\\PY{p}{)}\n", + " \\PY{p}{)}\n", + "\\PY{p}{)}\n", + "\\end{Verbatim}\n" + ], + "text/plain": [ + "_Value_1 = Value.var(\"bp1\")\n", + "_Value_2 = Value.var(\"bpp1\")\n", + "_Value_3 = Value.var(\"bpp2\")\n", + "_Value_4 = Value.var(\"bpp3\")\n", + "_Value_5 = Value.var(\"bpp4\")\n", + "_Value_6 = Value.var(\"bp2\")\n", + "_Value_7 = Value.var(\"bp3\")\n", + "_Value_8 = Value.var(\"bp4\")\n", + "_Value_9 = Value.from_int(Int(-1))\n", + "_Value_10 = polynomial(\n", + " MultiSet(\n", + " MultiSet(Value.var(\"q3\"), _Value_1, Value.var(\"q2\"), _Value_2),\n", + " MultiSet(_Value_3, _Value_1, Value.var(\"q6\"), Value.var(\"q2\")),\n", + " MultiSet(_Value_1, Value.var(\"q2\"), _Value_4, Value.var(\"q9\")),\n", + " MultiSet(_Value_1, Value.var(\"q2\"), Value.var(\"q12\"), _Value_5),\n", + " MultiSet(Value.var(\"q5\"), Value.var(\"q3\"), _Value_2, _Value_6),\n", + " MultiSet(Value.var(\"q5\"), _Value_3, Value.var(\"q6\"), _Value_6),\n", + " MultiSet(Value.var(\"q5\"), _Value_6, _Value_4, Value.var(\"q9\")),\n", + " MultiSet(Value.var(\"q5\"), _Value_6, Value.var(\"q12\"), _Value_5),\n", + " MultiSet(Value.var(\"q3\"), _Value_2, _Value_7, Value.var(\"q8\")),\n", + " MultiSet(_Value_3, Value.var(\"q6\"), _Value_7, Value.var(\"q8\")),\n", + " MultiSet(_Value_7, Value.var(\"q8\"), _Value_4, Value.var(\"q9\")),\n", + " MultiSet(_Value_7, Value.var(\"q8\"), Value.var(\"q12\"), _Value_5),\n", + " MultiSet(Value.var(\"q3\"), _Value_2, _Value_8, Value.var(\"q11\")),\n", + " MultiSet(_Value_3, Value.var(\"q6\"), _Value_8, Value.var(\"q11\")),\n", + " MultiSet(_Value_4, Value.var(\"q9\"), _Value_8, Value.var(\"q11\")),\n", + " MultiSet(Value.var(\"q12\"), _Value_5, _Value_8, Value.var(\"q11\")),\n", + " MultiSet(Value.var(\"q3\"), _Value_1, _Value_9, Value.var(\"q2\"), _Value_2),\n", + " MultiSet(Value.var(\"q5\"), _Value_3, Value.var(\"q3\"), _Value_1, _Value_9),\n", + " MultiSet(Value.var(\"q3\"), _Value_1, _Value_9, Value.var(\"q8\"), _Value_4),\n", + " MultiSet(Value.var(\"q3\"), _Value_1, _Value_9, _Value_5, Value.var(\"q11\")),\n", + " MultiSet(_Value_9, Value.var(\"q6\"), Value.var(\"q2\"), _Value_2, _Value_6),\n", + " MultiSet(Value.var(\"q5\"), _Value_3, _Value_9, Value.var(\"q6\"), _Value_6),\n", + " MultiSet(_Value_9, Value.var(\"q6\"), _Value_6, Value.var(\"q8\"), _Value_4),\n", + " MultiSet(_Value_9, Value.var(\"q6\"), _Value_6, _Value_5, Value.var(\"q11\")),\n", + " MultiSet(_Value_9, Value.var(\"q2\"), _Value_2, _Value_7, Value.var(\"q9\")),\n", + " MultiSet(Value.var(\"q5\"), _Value_3, _Value_9, _Value_7, Value.var(\"q9\")),\n", + " MultiSet(_Value_9, _Value_7, Value.var(\"q8\"), _Value_4, Value.var(\"q9\")),\n", + " MultiSet(_Value_9, _Value_7, Value.var(\"q9\"), _Value_5, Value.var(\"q11\")),\n", + " MultiSet(_Value_9, Value.var(\"q2\"), _Value_2, Value.var(\"q12\"), _Value_8),\n", + " MultiSet(Value.var(\"q5\"), _Value_3, _Value_9, Value.var(\"q12\"), _Value_8),\n", + " MultiSet(_Value_9, Value.var(\"q8\"), _Value_4, Value.var(\"q12\"), _Value_8),\n", + " MultiSet(_Value_9, Value.var(\"q12\"), _Value_5, _Value_8, Value.var(\"q11\")),\n", + " )\n", + ")\n", + "_Value_11 = polynomial(\n", + " MultiSet(\n", + " MultiSet(Value.var(\"q3\"), _Value_1, _Value_2, Value.var(\"q1\")),\n", + " MultiSet(_Value_3, Value.var(\"q3\"), _Value_1, Value.var(\"q4\")),\n", + " MultiSet(Value.var(\"q3\"), _Value_1, Value.var(\"q7\"), _Value_4),\n", + " MultiSet(Value.var(\"q3\"), _Value_1, _Value_5, Value.var(\"q10\")),\n", + " MultiSet(Value.var(\"q6\"), _Value_2, Value.var(\"q1\"), _Value_6),\n", + " MultiSet(_Value_3, Value.var(\"q6\"), Value.var(\"q4\"), _Value_6),\n", + " MultiSet(Value.var(\"q6\"), Value.var(\"q7\"), _Value_6, _Value_4),\n", + " MultiSet(Value.var(\"q6\"), _Value_6, _Value_5, Value.var(\"q10\")),\n", + " MultiSet(_Value_2, Value.var(\"q1\"), _Value_7, Value.var(\"q9\")),\n", + " MultiSet(_Value_3, _Value_7, Value.var(\"q4\"), Value.var(\"q9\")),\n", + " MultiSet(Value.var(\"q7\"), _Value_7, _Value_4, Value.var(\"q9\")),\n", + " MultiSet(_Value_7, Value.var(\"q9\"), _Value_5, Value.var(\"q10\")),\n", + " MultiSet(_Value_2, Value.var(\"q1\"), Value.var(\"q12\"), _Value_8),\n", + " MultiSet(_Value_3, Value.var(\"q4\"), Value.var(\"q12\"), _Value_8),\n", + " MultiSet(Value.var(\"q7\"), _Value_4, Value.var(\"q12\"), _Value_8),\n", + " MultiSet(Value.var(\"q12\"), _Value_5, Value.var(\"q10\"), _Value_8),\n", + " MultiSet(Value.var(\"q3\"), _Value_1, _Value_9, _Value_2, Value.var(\"q1\")),\n", + " MultiSet(_Value_3, _Value_1, _Value_9, Value.var(\"q6\"), Value.var(\"q1\")),\n", + " MultiSet(_Value_1, _Value_9, Value.var(\"q1\"), _Value_4, Value.var(\"q9\")),\n", + " MultiSet(_Value_1, _Value_9, Value.var(\"q1\"), Value.var(\"q12\"), _Value_5),\n", + " MultiSet(Value.var(\"q3\"), _Value_9, _Value_2, Value.var(\"q4\"), _Value_6),\n", + " MultiSet(_Value_3, _Value_9, Value.var(\"q6\"), Value.var(\"q4\"), _Value_6),\n", + " MultiSet(_Value_9, Value.var(\"q4\"), _Value_6, _Value_4, Value.var(\"q9\")),\n", + " MultiSet(_Value_9, Value.var(\"q4\"), _Value_6, Value.var(\"q12\"), _Value_5),\n", + " MultiSet(Value.var(\"q3\"), _Value_9, _Value_2, Value.var(\"q7\"), _Value_7),\n", + " MultiSet(_Value_3, _Value_9, Value.var(\"q6\"), Value.var(\"q7\"), _Value_7),\n", + " MultiSet(_Value_9, Value.var(\"q7\"), _Value_7, _Value_4, Value.var(\"q9\")),\n", + " MultiSet(_Value_9, Value.var(\"q7\"), _Value_7, Value.var(\"q12\"), _Value_5),\n", + " MultiSet(Value.var(\"q3\"), _Value_9, _Value_2, Value.var(\"q10\"), _Value_8),\n", + " MultiSet(_Value_3, _Value_9, Value.var(\"q6\"), Value.var(\"q10\"), _Value_8),\n", + " MultiSet(_Value_9, _Value_4, Value.var(\"q9\"), Value.var(\"q10\"), _Value_8),\n", + " MultiSet(_Value_9, Value.var(\"q12\"), _Value_5, Value.var(\"q10\"), _Value_8),\n", + " )\n", + ")\n", + "_Value_12 = polynomial(\n", + " MultiSet(\n", + " MultiSet(_Value_1, Value.var(\"q2\"), _Value_2, Value.var(\"q1\")),\n", + " MultiSet(Value.var(\"q5\"), _Value_3, _Value_1, Value.var(\"q1\")),\n", + " MultiSet(_Value_1, Value.var(\"q1\"), Value.var(\"q8\"), _Value_4),\n", + " MultiSet(_Value_1, Value.var(\"q1\"), _Value_5, Value.var(\"q11\")),\n", + " MultiSet(Value.var(\"q2\"), _Value_2, Value.var(\"q4\"), _Value_6),\n", + " MultiSet(Value.var(\"q5\"), _Value_3, Value.var(\"q4\"), _Value_6),\n", + " MultiSet(Value.var(\"q4\"), _Value_6, Value.var(\"q8\"), _Value_4),\n", + " MultiSet(Value.var(\"q4\"), _Value_6, _Value_5, Value.var(\"q11\")),\n", + " MultiSet(Value.var(\"q2\"), _Value_2, Value.var(\"q7\"), _Value_7),\n", + " MultiSet(Value.var(\"q5\"), _Value_3, Value.var(\"q7\"), _Value_7),\n", + " MultiSet(Value.var(\"q7\"), _Value_7, Value.var(\"q8\"), _Value_4),\n", + " MultiSet(Value.var(\"q7\"), _Value_7, _Value_5, Value.var(\"q11\")),\n", + " MultiSet(Value.var(\"q2\"), _Value_2, Value.var(\"q10\"), _Value_8),\n", + " MultiSet(Value.var(\"q5\"), _Value_3, Value.var(\"q10\"), _Value_8),\n", + " MultiSet(Value.var(\"q8\"), _Value_4, Value.var(\"q10\"), _Value_8),\n", + " MultiSet(_Value_5, Value.var(\"q10\"), _Value_8, Value.var(\"q11\")),\n", + " MultiSet(_Value_1, _Value_9, Value.var(\"q2\"), _Value_2, Value.var(\"q1\")),\n", + " MultiSet(_Value_3, _Value_1, _Value_9, Value.var(\"q2\"), Value.var(\"q4\")),\n", + " MultiSet(_Value_1, _Value_9, Value.var(\"q2\"), Value.var(\"q7\"), _Value_4),\n", + " MultiSet(_Value_1, _Value_9, Value.var(\"q2\"), _Value_5, Value.var(\"q10\")),\n", + " MultiSet(Value.var(\"q5\"), _Value_9, _Value_2, Value.var(\"q1\"), _Value_6),\n", + " MultiSet(Value.var(\"q5\"), _Value_3, _Value_9, Value.var(\"q4\"), _Value_6),\n", + " MultiSet(Value.var(\"q5\"), _Value_9, Value.var(\"q7\"), _Value_6, _Value_4),\n", + " MultiSet(Value.var(\"q5\"), _Value_9, _Value_6, _Value_5, Value.var(\"q10\")),\n", + " MultiSet(_Value_9, _Value_2, Value.var(\"q1\"), _Value_7, Value.var(\"q8\")),\n", + " MultiSet(_Value_3, _Value_9, _Value_7, Value.var(\"q4\"), Value.var(\"q8\")),\n", + " MultiSet(_Value_9, Value.var(\"q7\"), _Value_7, Value.var(\"q8\"), _Value_4),\n", + " MultiSet(_Value_9, _Value_7, Value.var(\"q8\"), _Value_5, Value.var(\"q10\")),\n", + " MultiSet(_Value_9, _Value_2, Value.var(\"q1\"), _Value_8, Value.var(\"q11\")),\n", + " MultiSet(_Value_3, _Value_9, Value.var(\"q4\"), _Value_8, Value.var(\"q11\")),\n", + " MultiSet(_Value_9, Value.var(\"q7\"), _Value_4, _Value_8, Value.var(\"q11\")),\n", + " MultiSet(_Value_9, _Value_5, Value.var(\"q10\"), _Value_8, Value.var(\"q11\")),\n", + " )\n", + ")\n", + "_Value_13 = polynomial(\n", + " MultiSet(MultiSet(Value.var(\"q7\"), _Value_7), MultiSet(Value.var(\"q4\"), _Value_6), MultiSet(_Value_1, Value.var(\"q1\")), MultiSet(Value.var(\"q10\"), _Value_8))\n", + ")\n", + "_Value_14 = polynomial(\n", + " MultiSet(MultiSet(_Value_1, Value.var(\"q2\")), MultiSet(Value.var(\"q5\"), _Value_6), MultiSet(_Value_8, Value.var(\"q11\")), MultiSet(_Value_7, Value.var(\"q8\")))\n", + ")\n", + "_Value_15 = polynomial(\n", + " MultiSet(MultiSet(Value.var(\"q3\"), _Value_1), MultiSet(Value.var(\"q6\"), _Value_6), MultiSet(Value.var(\"q12\"), _Value_8), MultiSet(_Value_7, Value.var(\"q9\")))\n", + ")\n", + "_Value_16 = polynomial(MultiSet(MultiSet(_Value_13, _Value_13), MultiSet(_Value_14, _Value_14), MultiSet(_Value_15, _Value_15)))\n", + "NDArray(\n", + " RecursiveValue(\n", + " polynomial(MultiSet(MultiSet(_Value_10, _Value_10), MultiSet(_Value_11, _Value_11), MultiSet(_Value_12, _Value_12)))\n", + " / polynomial(MultiSet(MultiSet(_Value_16, _Value_16, _Value_16)))\n", + " )\n", + ")" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "polynomial_egraph = egglog.EGraph()\n", + "polynomial_egraph.register(FunctionBending_distributed)\n", + "polynomial_egraph.run(enp.to_polynomial_ruleset.saturate())\n", + "FunctionBending_polynomial_multisets, FunctionBending_polynomial_multisets_cost = polynomial_egraph.extract(\n", + " FunctionBending_distributed,\n", + " include_cost=True,\n", + ")\n", + "print(FunctionBending_polynomial_multisets_cost)\n", + "FunctionBending_polynomial_multisets" + ] + }, + { + "cell_type": "markdown", + "id": "c925788d", + "metadata": {}, + "source": [ + "### Greedy Multivariate Horner Factorization\n", + "\n", + "Now that we have our polynomial subterms represented as nested multisets, the next step here is to see if we can find a form\n", + "with lower cost. One of the ways to do this with polynomials is to try to find a factorization of them that minimizes the number\n", + "of multiplications. With univariate polynomials, we can use an optimal algorithm called [Horner's method](https://en.wikipedia.org/wiki/Horner%27s_method).\n", + "Extending this to multivariate polynomials, there isn't an efficient algorithm that is guaranteed to produce the optimal factoring, but\n", + "there is [a greedy algorithm that will often produce a good one](https://www.semanticscholar.org/paper/Greedy-algorithms-for-optimizing-multivariate-Ceberio-Kreinovich/96103f6f48bd15d40de43a716922d1177b2b5ea2).\n", + "\n", + "So instead of considering all possible factorizations and then waiting till extraction to pick out the best one,\n", + "we can try to implement this greedy algorithm. This is made easier by the fact that we have flattened the polynomial\n", + "into a multiset of multisets, so we can analysis it holistically.\n", + "\n", + "To implement this, we find the factor that shows up in the most monomials, then find the subset of monomials which contain it, take\n", + "the intersection of all of those (to find the largest factor we can pull out of all of them), factor that out, and add it to the remainder\n", + "that didn't include that factor:\n", + "\n", + "```python\n", + "@ruleset\n", + "def factor_ruleset(\n", + " n: Value,\n", + " mss: MultiSet[MultiSet[Value]],\n", + " counts: MultiSet[Value],\n", + " picked_term: Value,\n", + " picked: MultiSet[MultiSet[Value]],\n", + " divided: MultiSet[MultiSet[Value]],\n", + " factor: MultiSet[Value],\n", + " remainder: MultiSet[MultiSet[Value]],\n", + "):\n", + " yield rule(\n", + " eq(n).to(polynomial(mss)),\n", + " # Find factor that shows up in most monomials, at least two of them\n", + " counts == MultiSet.sum_multisets(mss.map(MultiSet.reset_counts)),\n", + " eq(picked_term).to(counts.pick_max()), # on ties pick an arbitrary one\n", + " # Only factor out if it appears in more than one monomial\n", + " counts.count(picked_term) > 1,\n", + " # The factor we choose is the largest intersection between all the monomials that have that that factored term\n", + " picked == mss.filter(partial(multiset_contains_swapped, picked_term)),\n", + " factor == multiset_fold(MultiSet.__and__, picked.pick(), picked), # intersection\n", + " divided == picked.map(partial(multiset_subtract_swapped, factor)),\n", + " # remainder is those monomials that do not contain the factor\n", + " remainder == mss.filter(partial(multiset_not_contains_swapped, picked_term)),\n", + " name=\"factor\",\n", + " ).then(\n", + " # factor * polynomial(divided) + remainder\n", + " union(n).with_(polynomial(MultiSet(factor.insert(polynomial(divided))) + remainder)),\n", + " delete(polynomial(mss)),\n", + " )\n", + "```\n", + "\n", + "If we apply this, we now have a factored form! We can see that this uses a similar technique to above, where we use higher order functions\n", + "to create a new polynomial based on the old one, and replace it." + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "35a25ca7", + "metadata": { + "tags": [ + "remove-input" + ] + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "2143\n" + ] + }, + { + "data": { + "text/html": [ + "
_Value_1 = Value.var("bp1")\n",
+       "_Value_2 = Value.var("bpp1")\n",
+       "_Value_3 = Value.var("bpp2")\n",
+       "_Value_4 = Value.var("bpp3")\n",
+       "_Value_5 = Value.var("bpp4")\n",
+       "_Value_6 = Value.var("bp2")\n",
+       "_Value_7 = Value.var("bp3")\n",
+       "_Value_8 = Value.var("bp4")\n",
+       "_Value_9 = Value.from_int(Int(-1))\n",
+       "_Value_10 = polynomial(\n",
+       "    MultiSet(\n",
+       "        MultiSet(Value.var("q3"), _Value_1, Value.var("q2"), _Value_2),\n",
+       "        MultiSet(_Value_3, _Value_1, Value.var("q6"), Value.var("q2")),\n",
+       "        MultiSet(_Value_1, Value.var("q2"), _Value_4, Value.var("q9")),\n",
+       "        MultiSet(_Value_1, Value.var("q2"), Value.var("q12"), _Value_5),\n",
+       "        MultiSet(Value.var("q5"), Value.var("q3"), _Value_2, _Value_6),\n",
+       "        MultiSet(Value.var("q5"), _Value_3, Value.var("q6"), _Value_6),\n",
+       "        MultiSet(Value.var("q5"), _Value_6, _Value_4, Value.var("q9")),\n",
+       "        MultiSet(Value.var("q5"), _Value_6, Value.var("q12"), _Value_5),\n",
+       "        MultiSet(Value.var("q3"), _Value_2, _Value_7, Value.var("q8")),\n",
+       "        MultiSet(_Value_3, Value.var("q6"), _Value_7, Value.var("q8")),\n",
+       "        MultiSet(_Value_7, Value.var("q8"), _Value_4, Value.var("q9")),\n",
+       "        MultiSet(_Value_7, Value.var("q8"), Value.var("q12"), _Value_5),\n",
+       "        MultiSet(Value.var("q3"), _Value_2, _Value_8, Value.var("q11")),\n",
+       "        MultiSet(_Value_3, Value.var("q6"), _Value_8, Value.var("q11")),\n",
+       "        MultiSet(_Value_4, Value.var("q9"), _Value_8, Value.var("q11")),\n",
+       "        MultiSet(Value.var("q12"), _Value_5, _Value_8, Value.var("q11")),\n",
+       "        MultiSet(Value.var("q3"), _Value_1, _Value_9, Value.var("q2"), _Value_2),\n",
+       "        MultiSet(Value.var("q5"), _Value_3, Value.var("q3"), _Value_1, _Value_9),\n",
+       "        MultiSet(Value.var("q3"), _Value_1, _Value_9, Value.var("q8"), _Value_4),\n",
+       "        MultiSet(Value.var("q3"), _Value_1, _Value_9, _Value_5, Value.var("q11")),\n",
+       "        MultiSet(_Value_9, Value.var("q6"), Value.var("q2"), _Value_2, _Value_6),\n",
+       "        MultiSet(Value.var("q5"), _Value_3, _Value_9, Value.var("q6"), _Value_6),\n",
+       "        MultiSet(_Value_9, Value.var("q6"), _Value_6, Value.var("q8"), _Value_4),\n",
+       "        MultiSet(_Value_9, Value.var("q6"), _Value_6, _Value_5, Value.var("q11")),\n",
+       "        MultiSet(_Value_9, Value.var("q2"), _Value_2, _Value_7, Value.var("q9")),\n",
+       "        MultiSet(Value.var("q5"), _Value_3, _Value_9, _Value_7, Value.var("q9")),\n",
+       "        MultiSet(_Value_9, _Value_7, Value.var("q8"), _Value_4, Value.var("q9")),\n",
+       "        MultiSet(_Value_9, _Value_7, Value.var("q9"), _Value_5, Value.var("q11")),\n",
+       "        MultiSet(_Value_9, Value.var("q2"), _Value_2, Value.var("q12"), _Value_8),\n",
+       "        MultiSet(Value.var("q5"), _Value_3, _Value_9, Value.var("q12"), _Value_8),\n",
+       "        MultiSet(_Value_9, Value.var("q8"), _Value_4, Value.var("q12"), _Value_8),\n",
+       "        MultiSet(_Value_9, Value.var("q12"), _Value_5, _Value_8, Value.var("q11")),\n",
+       "    )\n",
+       ")\n",
+       "_Value_11 = polynomial(\n",
+       "    MultiSet(\n",
+       "        MultiSet(Value.var("q3"), _Value_1, _Value_2, Value.var("q1")),\n",
+       "        MultiSet(_Value_3, Value.var("q3"), _Value_1, Value.var("q4")),\n",
+       "        MultiSet(Value.var("q3"), _Value_1, Value.var("q7"), _Value_4),\n",
+       "        MultiSet(Value.var("q3"), _Value_1, _Value_5, Value.var("q10")),\n",
+       "        MultiSet(Value.var("q6"), _Value_2, Value.var("q1"), _Value_6),\n",
+       "        MultiSet(_Value_3, Value.var("q6"), Value.var("q4"), _Value_6),\n",
+       "        MultiSet(Value.var("q6"), Value.var("q7"), _Value_6, _Value_4),\n",
+       "        MultiSet(Value.var("q6"), _Value_6, _Value_5, Value.var("q10")),\n",
+       "        MultiSet(_Value_2, Value.var("q1"), _Value_7, Value.var("q9")),\n",
+       "        MultiSet(_Value_3, _Value_7, Value.var("q4"), Value.var("q9")),\n",
+       "        MultiSet(Value.var("q7"), _Value_7, _Value_4, Value.var("q9")),\n",
+       "        MultiSet(_Value_7, Value.var("q9"), _Value_5, Value.var("q10")),\n",
+       "        MultiSet(_Value_2, Value.var("q1"), Value.var("q12"), _Value_8),\n",
+       "        MultiSet(_Value_3, Value.var("q4"), Value.var("q12"), _Value_8),\n",
+       "        MultiSet(Value.var("q7"), _Value_4, Value.var("q12"), _Value_8),\n",
+       "        MultiSet(Value.var("q12"), _Value_5, Value.var("q10"), _Value_8),\n",
+       "        MultiSet(Value.var("q3"), _Value_1, _Value_9, _Value_2, Value.var("q1")),\n",
+       "        MultiSet(_Value_3, _Value_1, _Value_9, Value.var("q6"), Value.var("q1")),\n",
+       "        MultiSet(_Value_1, _Value_9, Value.var("q1"), _Value_4, Value.var("q9")),\n",
+       "        MultiSet(_Value_1, _Value_9, Value.var("q1"), Value.var("q12"), _Value_5),\n",
+       "        MultiSet(Value.var("q3"), _Value_9, _Value_2, Value.var("q4"), _Value_6),\n",
+       "        MultiSet(_Value_3, _Value_9, Value.var("q6"), Value.var("q4"), _Value_6),\n",
+       "        MultiSet(_Value_9, Value.var("q4"), _Value_6, _Value_4, Value.var("q9")),\n",
+       "        MultiSet(_Value_9, Value.var("q4"), _Value_6, Value.var("q12"), _Value_5),\n",
+       "        MultiSet(Value.var("q3"), _Value_9, _Value_2, Value.var("q7"), _Value_7),\n",
+       "        MultiSet(_Value_3, _Value_9, Value.var("q6"), Value.var("q7"), _Value_7),\n",
+       "        MultiSet(_Value_9, Value.var("q7"), _Value_7, _Value_4, Value.var("q9")),\n",
+       "        MultiSet(_Value_9, Value.var("q7"), _Value_7, Value.var("q12"), _Value_5),\n",
+       "        MultiSet(Value.var("q3"), _Value_9, _Value_2, Value.var("q10"), _Value_8),\n",
+       "        MultiSet(_Value_3, _Value_9, Value.var("q6"), Value.var("q10"), _Value_8),\n",
+       "        MultiSet(_Value_9, _Value_4, Value.var("q9"), Value.var("q10"), _Value_8),\n",
+       "        MultiSet(_Value_9, Value.var("q12"), _Value_5, Value.var("q10"), _Value_8),\n",
+       "    )\n",
+       ")\n",
+       "_MultiSet_1 = MultiSet(_Value_1, _Value_9, Value.var("q2"), _Value_2, Value.var("q1"))\n",
+       "_MultiSet_2 = MultiSet(_Value_3, _Value_1, _Value_9, Value.var("q2"), Value.var("q4"))\n",
+       "_MultiSet_3 = MultiSet(_Value_1, _Value_9, Value.var("q2"), Value.var("q7"), _Value_4)\n",
+       "_MultiSet_4 = MultiSet(_Value_1, _Value_9, Value.var("q2"), _Value_5, Value.var("q10"))\n",
+       "_MultiSet_5 = MultiSet(Value.var("q5"), _Value_9, _Value_2, Value.var("q1"), _Value_6)\n",
+       "_MultiSet_6 = MultiSet(Value.var("q5"), _Value_3, _Value_9, Value.var("q4"), _Value_6)\n",
+       "_MultiSet_7 = MultiSet(Value.var("q5"), _Value_9, Value.var("q7"), _Value_6, _Value_4)\n",
+       "_MultiSet_8 = MultiSet(Value.var("q5"), _Value_9, _Value_6, _Value_5, Value.var("q10"))\n",
+       "_MultiSet_9 = MultiSet(_Value_9, _Value_2, Value.var("q1"), _Value_7, Value.var("q8"))\n",
+       "_MultiSet_10 = MultiSet(_Value_3, _Value_9, _Value_7, Value.var("q4"), Value.var("q8"))\n",
+       "_MultiSet_11 = MultiSet(_Value_9, _Value_7, Value.var("q8"), _Value_5, Value.var("q10"))\n",
+       "_MultiSet_12 = MultiSet(_Value_9, _Value_2, Value.var("q1"), _Value_8, Value.var("q11"))\n",
+       "_MultiSet_13 = MultiSet(_Value_3, _Value_9, Value.var("q4"), _Value_8, Value.var("q11"))\n",
+       "_MultiSet_14 = MultiSet(_Value_9, Value.var("q7"), _Value_4, _Value_8, Value.var("q11"))\n",
+       "_MultiSet_15 = MultiSet(_Value_9, _Value_5, Value.var("q10"), _Value_8, Value.var("q11"))\n",
+       "_Value_12 = polynomial(\n",
+       "    MultiSet(MultiSet(Value.var("q7"), _Value_7), MultiSet(Value.var("q4"), _Value_6), MultiSet(_Value_1, Value.var("q1")), MultiSet(Value.var("q10"), _Value_8))\n",
+       ")\n",
+       "_Value_13 = polynomial(\n",
+       "    MultiSet(MultiSet(_Value_1, Value.var("q2")), MultiSet(Value.var("q5"), _Value_6), MultiSet(_Value_8, Value.var("q11")), MultiSet(_Value_7, Value.var("q8")))\n",
+       ")\n",
+       "_Value_14 = polynomial(\n",
+       "    MultiSet(MultiSet(Value.var("q3"), _Value_1), MultiSet(Value.var("q6"), _Value_6), MultiSet(Value.var("q12"), _Value_8), MultiSet(_Value_7, Value.var("q9")))\n",
+       ")\n",
+       "_Value_15 = polynomial(MultiSet(MultiSet(_Value_12, _Value_12), MultiSet(_Value_13, _Value_13), MultiSet(_Value_14, _Value_14)))\n",
+       "NDArray(\n",
+       "    RecursiveValue(\n",
+       "        polynomial(\n",
+       "            MultiSet(\n",
+       "                MultiSet(_Value_10, _Value_10),\n",
+       "                MultiSet(_Value_11, _Value_11),\n",
+       "                MultiSet(\n",
+       "                    polynomial(\n",
+       "                        MultiSet(\n",
+       "                            MultiSet(_Value_1, Value.var("q2"), _Value_2, Value.var("q1")),\n",
+       "                            MultiSet(Value.var("q5"), _Value_3, _Value_1, Value.var("q1")),\n",
+       "                            MultiSet(_Value_1, Value.var("q1"), Value.var("q8"), _Value_4),\n",
+       "                            MultiSet(_Value_1, Value.var("q1"), _Value_5, Value.var("q11")),\n",
+       "                            MultiSet(Value.var("q2"), _Value_2, Value.var("q4"), _Value_6),\n",
+       "                            MultiSet(Value.var("q5"), _Value_3, Value.var("q4"), _Value_6),\n",
+       "                            MultiSet(Value.var("q4"), _Value_6, Value.var("q8"), _Value_4),\n",
+       "                            MultiSet(Value.var("q4"), _Value_6, _Value_5, Value.var("q11")),\n",
+       "                            MultiSet(Value.var("q2"), _Value_2, Value.var("q7"), _Value_7),\n",
+       "                            MultiSet(Value.var("q5"), _Value_3, Value.var("q7"), _Value_7),\n",
+       "                            MultiSet(Value.var("q7"), _Value_7, Value.var("q8"), _Value_4),\n",
+       "                            MultiSet(Value.var("q7"), _Value_7, _Value_5, Value.var("q11")),\n",
+       "                            MultiSet(Value.var("q2"), _Value_2, Value.var("q10"), _Value_8),\n",
+       "                            MultiSet(Value.var("q5"), _Value_3, Value.var("q10"), _Value_8),\n",
+       "                            MultiSet(Value.var("q8"), _Value_4, Value.var("q10"), _Value_8),\n",
+       "                            MultiSet(_Value_5, Value.var("q10"), _Value_8, Value.var("q11")),\n",
+       "                            _MultiSet_1,\n",
+       "                            _MultiSet_2,\n",
+       "                            _MultiSet_3,\n",
+       "                            _MultiSet_4,\n",
+       "                            _MultiSet_5,\n",
+       "                            _MultiSet_6,\n",
+       "                            _MultiSet_7,\n",
+       "                            _MultiSet_8,\n",
+       "                            _MultiSet_9,\n",
+       "                            _MultiSet_10,\n",
+       "                            _MultiSet_11,\n",
+       "                            _MultiSet_12,\n",
+       "                            _MultiSet_13,\n",
+       "                            _MultiSet_14,\n",
+       "                            _MultiSet_15,\n",
+       "                            MultiSet(Value.var("q7"), Value.var("q7"), _Value_7, Value.var("q8"), _Value_4),\n",
+       "                        )\n",
+       "                    ),\n",
+       "                    polynomial(\n",
+       "                        MultiSet(\n",
+       "                            MultiSet(_Value_1, Value.var("q2"), _Value_2, Value.var("q1")),\n",
+       "                            MultiSet(Value.var("q5"), _Value_3, _Value_1, Value.var("q1")),\n",
+       "                            MultiSet(_Value_1, Value.var("q1"), Value.var("q8"), _Value_4),\n",
+       "                            MultiSet(_Value_1, Value.var("q1"), _Value_5, Value.var("q11")),\n",
+       "                            MultiSet(Value.var("q2"), _Value_2, Value.var("q4"), _Value_6),\n",
+       "                            MultiSet(Value.var("q5"), _Value_3, Value.var("q4"), _Value_6),\n",
+       "                            MultiSet(Value.var("q4"), _Value_6, Value.var("q8"), _Value_4),\n",
+       "                            MultiSet(Value.var("q4"), _Value_6, _Value_5, Value.var("q11")),\n",
+       "                            MultiSet(Value.var("q2"), _Value_2, Value.var("q7"), _Value_7),\n",
+       "                            MultiSet(Value.var("q5"), _Value_3, Value.var("q7"), _Value_7),\n",
+       "                            MultiSet(Value.var("q7"), _Value_7, Value.var("q8"), _Value_4),\n",
+       "                            MultiSet(Value.var("q7"), _Value_7, _Value_5, Value.var("q11")),\n",
+       "                            MultiSet(Value.var("q2"), _Value_2, Value.var("q10"), _Value_8),\n",
+       "                            MultiSet(Value.var("q5"), _Value_3, Value.var("q10"), _Value_8),\n",
+       "                            MultiSet(Value.var("q8"), _Value_4, Value.var("q10"), _Value_8),\n",
+       "                            MultiSet(_Value_5, Value.var("q10"), _Value_8, Value.var("q11")),\n",
+       "                            _MultiSet_1,\n",
+       "                            _MultiSet_2,\n",
+       "                            _MultiSet_3,\n",
+       "                            _MultiSet_4,\n",
+       "                            _MultiSet_5,\n",
+       "                            _MultiSet_6,\n",
+       "                            _MultiSet_7,\n",
+       "                            _MultiSet_8,\n",
+       "                            _MultiSet_9,\n",
+       "                            _MultiSet_10,\n",
+       "                            MultiSet(_Value_9, Value.var("q7"), _Value_7, Value.var("q8"), _Value_4),\n",
+       "                            _MultiSet_11,\n",
+       "                            _MultiSet_12,\n",
+       "                            _MultiSet_13,\n",
+       "                            _MultiSet_14,\n",
+       "                            _MultiSet_15,\n",
+       "                        )\n",
+       "                    ),\n",
+       "                ),\n",
+       "            )\n",
+       "        )\n",
+       "        / polynomial(MultiSet(MultiSet(_Value_15, _Value_15, _Value_15)))\n",
+       "    )\n",
+       ")\n",
+       "
\n" + ], + "text/latex": [ + "\\begin{Verbatim}[commandchars=\\\\\\{\\}]\n", + "\\PY{n}{\\PYZus{}Value\\PYZus{}1} \\PY{o}{=} \\PY{n}{Value}\\PY{o}{.}\\PY{n}{var}\\PY{p}{(}\\PY{l+s+s2}{\\PYZdq{}}\\PY{l+s+s2}{bp1}\\PY{l+s+s2}{\\PYZdq{}}\\PY{p}{)}\n", + "\\PY{n}{\\PYZus{}Value\\PYZus{}2} \\PY{o}{=} \\PY{n}{Value}\\PY{o}{.}\\PY{n}{var}\\PY{p}{(}\\PY{l+s+s2}{\\PYZdq{}}\\PY{l+s+s2}{bpp1}\\PY{l+s+s2}{\\PYZdq{}}\\PY{p}{)}\n", + "\\PY{n}{\\PYZus{}Value\\PYZus{}3} \\PY{o}{=} \\PY{n}{Value}\\PY{o}{.}\\PY{n}{var}\\PY{p}{(}\\PY{l+s+s2}{\\PYZdq{}}\\PY{l+s+s2}{bpp2}\\PY{l+s+s2}{\\PYZdq{}}\\PY{p}{)}\n", + "\\PY{n}{\\PYZus{}Value\\PYZus{}4} \\PY{o}{=} \\PY{n}{Value}\\PY{o}{.}\\PY{n}{var}\\PY{p}{(}\\PY{l+s+s2}{\\PYZdq{}}\\PY{l+s+s2}{bpp3}\\PY{l+s+s2}{\\PYZdq{}}\\PY{p}{)}\n", + "\\PY{n}{\\PYZus{}Value\\PYZus{}5} \\PY{o}{=} \\PY{n}{Value}\\PY{o}{.}\\PY{n}{var}\\PY{p}{(}\\PY{l+s+s2}{\\PYZdq{}}\\PY{l+s+s2}{bpp4}\\PY{l+s+s2}{\\PYZdq{}}\\PY{p}{)}\n", + "\\PY{n}{\\PYZus{}Value\\PYZus{}6} \\PY{o}{=} 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\\PY{n}{MultiSet}\\PY{p}{(}\\PY{n}{\\PYZus{}Value\\PYZus{}5}\\PY{p}{,} \\PY{n}{Value}\\PY{o}{.}\\PY{n}{var}\\PY{p}{(}\\PY{l+s+s2}{\\PYZdq{}}\\PY{l+s+s2}{q10}\\PY{l+s+s2}{\\PYZdq{}}\\PY{p}{)}\\PY{p}{,} \\PY{n}{\\PYZus{}Value\\PYZus{}8}\\PY{p}{,} \\PY{n}{Value}\\PY{o}{.}\\PY{n}{var}\\PY{p}{(}\\PY{l+s+s2}{\\PYZdq{}}\\PY{l+s+s2}{q11}\\PY{l+s+s2}{\\PYZdq{}}\\PY{p}{)}\\PY{p}{)}\\PY{p}{,}\n", + " \\PY{n}{\\PYZus{}MultiSet\\PYZus{}1}\\PY{p}{,}\n", + " \\PY{n}{\\PYZus{}MultiSet\\PYZus{}2}\\PY{p}{,}\n", + " \\PY{n}{\\PYZus{}MultiSet\\PYZus{}3}\\PY{p}{,}\n", + " \\PY{n}{\\PYZus{}MultiSet\\PYZus{}4}\\PY{p}{,}\n", + " \\PY{n}{\\PYZus{}MultiSet\\PYZus{}5}\\PY{p}{,}\n", + " \\PY{n}{\\PYZus{}MultiSet\\PYZus{}6}\\PY{p}{,}\n", + " \\PY{n}{\\PYZus{}MultiSet\\PYZus{}7}\\PY{p}{,}\n", + " \\PY{n}{\\PYZus{}MultiSet\\PYZus{}8}\\PY{p}{,}\n", + " \\PY{n}{\\PYZus{}MultiSet\\PYZus{}9}\\PY{p}{,}\n", + " \\PY{n}{\\PYZus{}MultiSet\\PYZus{}10}\\PY{p}{,}\n", + " \\PY{n}{MultiSet}\\PY{p}{(}\\PY{n}{\\PYZus{}Value\\PYZus{}9}\\PY{p}{,} \\PY{n}{Value}\\PY{o}{.}\\PY{n}{var}\\PY{p}{(}\\PY{l+s+s2}{\\PYZdq{}}\\PY{l+s+s2}{q7}\\PY{l+s+s2}{\\PYZdq{}}\\PY{p}{)}\\PY{p}{,} \\PY{n}{\\PYZus{}Value\\PYZus{}7}\\PY{p}{,} \\PY{n}{Value}\\PY{o}{.}\\PY{n}{var}\\PY{p}{(}\\PY{l+s+s2}{\\PYZdq{}}\\PY{l+s+s2}{q8}\\PY{l+s+s2}{\\PYZdq{}}\\PY{p}{)}\\PY{p}{,} \\PY{n}{\\PYZus{}Value\\PYZus{}4}\\PY{p}{)}\\PY{p}{,}\n", + " \\PY{n}{\\PYZus{}MultiSet\\PYZus{}11}\\PY{p}{,}\n", + " \\PY{n}{\\PYZus{}MultiSet\\PYZus{}12}\\PY{p}{,}\n", + " \\PY{n}{\\PYZus{}MultiSet\\PYZus{}13}\\PY{p}{,}\n", + " \\PY{n}{\\PYZus{}MultiSet\\PYZus{}14}\\PY{p}{,}\n", + " \\PY{n}{\\PYZus{}MultiSet\\PYZus{}15}\\PY{p}{,}\n", + " \\PY{p}{)}\n", + " \\PY{p}{)}\\PY{p}{,}\n", + " \\PY{p}{)}\\PY{p}{,}\n", + " \\PY{p}{)}\n", + " \\PY{p}{)}\n", + " \\PY{o}{/} \\PY{n}{polynomial}\\PY{p}{(}\\PY{n}{MultiSet}\\PY{p}{(}\\PY{n}{MultiSet}\\PY{p}{(}\\PY{n}{\\PYZus{}Value\\PYZus{}15}\\PY{p}{,} \\PY{n}{\\PYZus{}Value\\PYZus{}15}\\PY{p}{,} \\PY{n}{\\PYZus{}Value\\PYZus{}15}\\PY{p}{)}\\PY{p}{)}\\PY{p}{)}\n", + " \\PY{p}{)}\n", + "\\PY{p}{)}\n", + "\\end{Verbatim}\n" + ], + "text/plain": [ + "_Value_1 = Value.var(\"bp1\")\n", + "_Value_2 = Value.var(\"bpp1\")\n", + "_Value_3 = Value.var(\"bpp2\")\n", + "_Value_4 = Value.var(\"bpp3\")\n", + "_Value_5 = Value.var(\"bpp4\")\n", + "_Value_6 = Value.var(\"bp2\")\n", + "_Value_7 = Value.var(\"bp3\")\n", + "_Value_8 = Value.var(\"bp4\")\n", + "_Value_9 = Value.from_int(Int(-1))\n", + "_Value_10 = polynomial(\n", + " MultiSet(\n", + " MultiSet(Value.var(\"q3\"), _Value_1, Value.var(\"q2\"), _Value_2),\n", + " MultiSet(_Value_3, _Value_1, Value.var(\"q6\"), Value.var(\"q2\")),\n", + " MultiSet(_Value_1, Value.var(\"q2\"), _Value_4, Value.var(\"q9\")),\n", + " MultiSet(_Value_1, Value.var(\"q2\"), Value.var(\"q12\"), _Value_5),\n", + " MultiSet(Value.var(\"q5\"), Value.var(\"q3\"), _Value_2, _Value_6),\n", + " MultiSet(Value.var(\"q5\"), _Value_3, Value.var(\"q6\"), _Value_6),\n", + " MultiSet(Value.var(\"q5\"), _Value_6, _Value_4, Value.var(\"q9\")),\n", + " MultiSet(Value.var(\"q5\"), _Value_6, Value.var(\"q12\"), _Value_5),\n", + " MultiSet(Value.var(\"q3\"), _Value_2, _Value_7, Value.var(\"q8\")),\n", + " MultiSet(_Value_3, Value.var(\"q6\"), _Value_7, Value.var(\"q8\")),\n", + " MultiSet(_Value_7, Value.var(\"q8\"), _Value_4, Value.var(\"q9\")),\n", + " MultiSet(_Value_7, Value.var(\"q8\"), Value.var(\"q12\"), _Value_5),\n", + " MultiSet(Value.var(\"q3\"), _Value_2, _Value_8, Value.var(\"q11\")),\n", + " MultiSet(_Value_3, Value.var(\"q6\"), _Value_8, Value.var(\"q11\")),\n", + " MultiSet(_Value_4, Value.var(\"q9\"), _Value_8, Value.var(\"q11\")),\n", + " MultiSet(Value.var(\"q12\"), _Value_5, _Value_8, Value.var(\"q11\")),\n", + " MultiSet(Value.var(\"q3\"), _Value_1, _Value_9, Value.var(\"q2\"), _Value_2),\n", + " MultiSet(Value.var(\"q5\"), _Value_3, Value.var(\"q3\"), _Value_1, _Value_9),\n", + " MultiSet(Value.var(\"q3\"), _Value_1, _Value_9, Value.var(\"q8\"), _Value_4),\n", + " MultiSet(Value.var(\"q3\"), _Value_1, _Value_9, _Value_5, Value.var(\"q11\")),\n", + " MultiSet(_Value_9, Value.var(\"q6\"), Value.var(\"q2\"), _Value_2, _Value_6),\n", + " MultiSet(Value.var(\"q5\"), _Value_3, _Value_9, Value.var(\"q6\"), _Value_6),\n", + " MultiSet(_Value_9, Value.var(\"q6\"), _Value_6, Value.var(\"q8\"), _Value_4),\n", + " MultiSet(_Value_9, Value.var(\"q6\"), _Value_6, _Value_5, Value.var(\"q11\")),\n", + " MultiSet(_Value_9, Value.var(\"q2\"), _Value_2, _Value_7, Value.var(\"q9\")),\n", + " MultiSet(Value.var(\"q5\"), _Value_3, _Value_9, _Value_7, Value.var(\"q9\")),\n", + " MultiSet(_Value_9, _Value_7, Value.var(\"q8\"), _Value_4, Value.var(\"q9\")),\n", + " MultiSet(_Value_9, _Value_7, Value.var(\"q9\"), _Value_5, Value.var(\"q11\")),\n", + " MultiSet(_Value_9, Value.var(\"q2\"), _Value_2, Value.var(\"q12\"), _Value_8),\n", + " MultiSet(Value.var(\"q5\"), _Value_3, _Value_9, Value.var(\"q12\"), _Value_8),\n", + " MultiSet(_Value_9, Value.var(\"q8\"), _Value_4, Value.var(\"q12\"), _Value_8),\n", + " MultiSet(_Value_9, Value.var(\"q12\"), _Value_5, _Value_8, Value.var(\"q11\")),\n", + " )\n", + ")\n", + "_Value_11 = polynomial(\n", + " MultiSet(\n", + " MultiSet(Value.var(\"q3\"), _Value_1, _Value_2, Value.var(\"q1\")),\n", + " MultiSet(_Value_3, Value.var(\"q3\"), _Value_1, Value.var(\"q4\")),\n", + " MultiSet(Value.var(\"q3\"), _Value_1, Value.var(\"q7\"), _Value_4),\n", + " MultiSet(Value.var(\"q3\"), _Value_1, _Value_5, Value.var(\"q10\")),\n", + " MultiSet(Value.var(\"q6\"), _Value_2, Value.var(\"q1\"), _Value_6),\n", + " MultiSet(_Value_3, Value.var(\"q6\"), Value.var(\"q4\"), _Value_6),\n", + " MultiSet(Value.var(\"q6\"), Value.var(\"q7\"), _Value_6, _Value_4),\n", + " MultiSet(Value.var(\"q6\"), _Value_6, _Value_5, Value.var(\"q10\")),\n", + " MultiSet(_Value_2, Value.var(\"q1\"), _Value_7, Value.var(\"q9\")),\n", + " MultiSet(_Value_3, _Value_7, Value.var(\"q4\"), Value.var(\"q9\")),\n", + " MultiSet(Value.var(\"q7\"), _Value_7, _Value_4, Value.var(\"q9\")),\n", + " MultiSet(_Value_7, Value.var(\"q9\"), _Value_5, Value.var(\"q10\")),\n", + " MultiSet(_Value_2, Value.var(\"q1\"), Value.var(\"q12\"), _Value_8),\n", + " MultiSet(_Value_3, Value.var(\"q4\"), Value.var(\"q12\"), _Value_8),\n", + " MultiSet(Value.var(\"q7\"), _Value_4, Value.var(\"q12\"), _Value_8),\n", + " MultiSet(Value.var(\"q12\"), _Value_5, Value.var(\"q10\"), _Value_8),\n", + " MultiSet(Value.var(\"q3\"), _Value_1, _Value_9, _Value_2, Value.var(\"q1\")),\n", + " MultiSet(_Value_3, _Value_1, _Value_9, Value.var(\"q6\"), Value.var(\"q1\")),\n", + " MultiSet(_Value_1, _Value_9, Value.var(\"q1\"), _Value_4, Value.var(\"q9\")),\n", + " MultiSet(_Value_1, _Value_9, Value.var(\"q1\"), Value.var(\"q12\"), _Value_5),\n", + " MultiSet(Value.var(\"q3\"), _Value_9, _Value_2, Value.var(\"q4\"), _Value_6),\n", + " MultiSet(_Value_3, _Value_9, Value.var(\"q6\"), Value.var(\"q4\"), _Value_6),\n", + " MultiSet(_Value_9, Value.var(\"q4\"), _Value_6, _Value_4, Value.var(\"q9\")),\n", + " MultiSet(_Value_9, Value.var(\"q4\"), _Value_6, Value.var(\"q12\"), _Value_5),\n", + " MultiSet(Value.var(\"q3\"), _Value_9, _Value_2, Value.var(\"q7\"), _Value_7),\n", + " MultiSet(_Value_3, _Value_9, Value.var(\"q6\"), Value.var(\"q7\"), _Value_7),\n", + " MultiSet(_Value_9, Value.var(\"q7\"), _Value_7, _Value_4, Value.var(\"q9\")),\n", + " MultiSet(_Value_9, Value.var(\"q7\"), _Value_7, Value.var(\"q12\"), _Value_5),\n", + " MultiSet(Value.var(\"q3\"), _Value_9, _Value_2, Value.var(\"q10\"), _Value_8),\n", + " MultiSet(_Value_3, _Value_9, Value.var(\"q6\"), Value.var(\"q10\"), _Value_8),\n", + " MultiSet(_Value_9, _Value_4, Value.var(\"q9\"), Value.var(\"q10\"), _Value_8),\n", + " MultiSet(_Value_9, Value.var(\"q12\"), _Value_5, Value.var(\"q10\"), _Value_8),\n", + " )\n", + ")\n", + "_MultiSet_1 = MultiSet(_Value_1, _Value_9, Value.var(\"q2\"), _Value_2, Value.var(\"q1\"))\n", + "_MultiSet_2 = MultiSet(_Value_3, _Value_1, _Value_9, Value.var(\"q2\"), Value.var(\"q4\"))\n", + "_MultiSet_3 = MultiSet(_Value_1, _Value_9, Value.var(\"q2\"), Value.var(\"q7\"), _Value_4)\n", + "_MultiSet_4 = MultiSet(_Value_1, _Value_9, Value.var(\"q2\"), _Value_5, Value.var(\"q10\"))\n", + "_MultiSet_5 = MultiSet(Value.var(\"q5\"), _Value_9, _Value_2, Value.var(\"q1\"), _Value_6)\n", + "_MultiSet_6 = MultiSet(Value.var(\"q5\"), _Value_3, _Value_9, Value.var(\"q4\"), _Value_6)\n", + "_MultiSet_7 = MultiSet(Value.var(\"q5\"), _Value_9, Value.var(\"q7\"), _Value_6, _Value_4)\n", + "_MultiSet_8 = MultiSet(Value.var(\"q5\"), _Value_9, _Value_6, _Value_5, Value.var(\"q10\"))\n", + "_MultiSet_9 = MultiSet(_Value_9, _Value_2, Value.var(\"q1\"), _Value_7, Value.var(\"q8\"))\n", + "_MultiSet_10 = MultiSet(_Value_3, _Value_9, _Value_7, Value.var(\"q4\"), Value.var(\"q8\"))\n", + "_MultiSet_11 = MultiSet(_Value_9, _Value_7, Value.var(\"q8\"), _Value_5, Value.var(\"q10\"))\n", + "_MultiSet_12 = MultiSet(_Value_9, _Value_2, Value.var(\"q1\"), _Value_8, Value.var(\"q11\"))\n", + "_MultiSet_13 = MultiSet(_Value_3, _Value_9, Value.var(\"q4\"), _Value_8, Value.var(\"q11\"))\n", + "_MultiSet_14 = MultiSet(_Value_9, Value.var(\"q7\"), _Value_4, _Value_8, Value.var(\"q11\"))\n", + "_MultiSet_15 = MultiSet(_Value_9, _Value_5, Value.var(\"q10\"), _Value_8, Value.var(\"q11\"))\n", + "_Value_12 = polynomial(\n", + " MultiSet(MultiSet(Value.var(\"q7\"), _Value_7), MultiSet(Value.var(\"q4\"), _Value_6), MultiSet(_Value_1, Value.var(\"q1\")), MultiSet(Value.var(\"q10\"), _Value_8))\n", + ")\n", + "_Value_13 = polynomial(\n", + " MultiSet(MultiSet(_Value_1, Value.var(\"q2\")), MultiSet(Value.var(\"q5\"), _Value_6), MultiSet(_Value_8, Value.var(\"q11\")), MultiSet(_Value_7, Value.var(\"q8\")))\n", + ")\n", + "_Value_14 = polynomial(\n", + " MultiSet(MultiSet(Value.var(\"q3\"), _Value_1), MultiSet(Value.var(\"q6\"), _Value_6), MultiSet(Value.var(\"q12\"), _Value_8), MultiSet(_Value_7, Value.var(\"q9\")))\n", + ")\n", + "_Value_15 = polynomial(MultiSet(MultiSet(_Value_12, _Value_12), MultiSet(_Value_13, _Value_13), MultiSet(_Value_14, _Value_14)))\n", + "NDArray(\n", + " RecursiveValue(\n", + " polynomial(\n", + " MultiSet(\n", + " MultiSet(_Value_10, _Value_10),\n", + " MultiSet(_Value_11, _Value_11),\n", + " MultiSet(\n", + " polynomial(\n", + " MultiSet(\n", + " MultiSet(_Value_1, Value.var(\"q2\"), _Value_2, Value.var(\"q1\")),\n", + " MultiSet(Value.var(\"q5\"), _Value_3, _Value_1, Value.var(\"q1\")),\n", + " MultiSet(_Value_1, Value.var(\"q1\"), Value.var(\"q8\"), _Value_4),\n", + " MultiSet(_Value_1, Value.var(\"q1\"), _Value_5, Value.var(\"q11\")),\n", + " MultiSet(Value.var(\"q2\"), _Value_2, Value.var(\"q4\"), _Value_6),\n", + " MultiSet(Value.var(\"q5\"), _Value_3, Value.var(\"q4\"), _Value_6),\n", + " MultiSet(Value.var(\"q4\"), _Value_6, Value.var(\"q8\"), _Value_4),\n", + " MultiSet(Value.var(\"q4\"), _Value_6, _Value_5, Value.var(\"q11\")),\n", + " MultiSet(Value.var(\"q2\"), _Value_2, Value.var(\"q7\"), _Value_7),\n", + " MultiSet(Value.var(\"q5\"), _Value_3, Value.var(\"q7\"), _Value_7),\n", + " MultiSet(Value.var(\"q7\"), _Value_7, Value.var(\"q8\"), _Value_4),\n", + " MultiSet(Value.var(\"q7\"), _Value_7, _Value_5, Value.var(\"q11\")),\n", + " MultiSet(Value.var(\"q2\"), _Value_2, Value.var(\"q10\"), _Value_8),\n", + " MultiSet(Value.var(\"q5\"), _Value_3, Value.var(\"q10\"), _Value_8),\n", + " MultiSet(Value.var(\"q8\"), _Value_4, Value.var(\"q10\"), _Value_8),\n", + " MultiSet(_Value_5, Value.var(\"q10\"), _Value_8, Value.var(\"q11\")),\n", + " _MultiSet_1,\n", + " _MultiSet_2,\n", + " _MultiSet_3,\n", + " _MultiSet_4,\n", + " _MultiSet_5,\n", + " _MultiSet_6,\n", + " _MultiSet_7,\n", + " _MultiSet_8,\n", + " _MultiSet_9,\n", + " _MultiSet_10,\n", + " _MultiSet_11,\n", + " _MultiSet_12,\n", + " _MultiSet_13,\n", + " _MultiSet_14,\n", + " _MultiSet_15,\n", + " MultiSet(Value.var(\"q7\"), Value.var(\"q7\"), _Value_7, Value.var(\"q8\"), _Value_4),\n", + " )\n", + " ),\n", + " polynomial(\n", + " MultiSet(\n", + " MultiSet(_Value_1, Value.var(\"q2\"), _Value_2, Value.var(\"q1\")),\n", + " MultiSet(Value.var(\"q5\"), _Value_3, _Value_1, Value.var(\"q1\")),\n", + " MultiSet(_Value_1, Value.var(\"q1\"), Value.var(\"q8\"), _Value_4),\n", + " MultiSet(_Value_1, Value.var(\"q1\"), _Value_5, Value.var(\"q11\")),\n", + " MultiSet(Value.var(\"q2\"), _Value_2, Value.var(\"q4\"), _Value_6),\n", + " MultiSet(Value.var(\"q5\"), _Value_3, Value.var(\"q4\"), _Value_6),\n", + " MultiSet(Value.var(\"q4\"), _Value_6, Value.var(\"q8\"), _Value_4),\n", + " MultiSet(Value.var(\"q4\"), _Value_6, _Value_5, Value.var(\"q11\")),\n", + " MultiSet(Value.var(\"q2\"), _Value_2, Value.var(\"q7\"), _Value_7),\n", + " MultiSet(Value.var(\"q5\"), _Value_3, Value.var(\"q7\"), _Value_7),\n", + " MultiSet(Value.var(\"q7\"), _Value_7, Value.var(\"q8\"), _Value_4),\n", + " MultiSet(Value.var(\"q7\"), _Value_7, _Value_5, Value.var(\"q11\")),\n", + " MultiSet(Value.var(\"q2\"), _Value_2, Value.var(\"q10\"), _Value_8),\n", + " MultiSet(Value.var(\"q5\"), _Value_3, Value.var(\"q10\"), _Value_8),\n", + " MultiSet(Value.var(\"q8\"), _Value_4, Value.var(\"q10\"), _Value_8),\n", + " MultiSet(_Value_5, Value.var(\"q10\"), _Value_8, Value.var(\"q11\")),\n", + " _MultiSet_1,\n", + " _MultiSet_2,\n", + " _MultiSet_3,\n", + " _MultiSet_4,\n", + " _MultiSet_5,\n", + " _MultiSet_6,\n", + " _MultiSet_7,\n", + " _MultiSet_8,\n", + " _MultiSet_9,\n", + " _MultiSet_10,\n", + " MultiSet(_Value_9, Value.var(\"q7\"), _Value_7, Value.var(\"q8\"), _Value_4),\n", + " _MultiSet_11,\n", + " _MultiSet_12,\n", + " _MultiSet_13,\n", + " _MultiSet_14,\n", + " _MultiSet_15,\n", + " )\n", + " ),\n", + " ),\n", + " )\n", + " )\n", + " / polynomial(MultiSet(MultiSet(_Value_15, _Value_15, _Value_15)))\n", + " )\n", + ")" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "polynomial_egraph.run(enp.factor_ruleset.saturate())\n", + "FunctionBending_polynomial_multisets_factored, FunctionBending_polynomial_multisets_factored_cost = (\n", + " polynomial_egraph.extract(\n", + " FunctionBending_polynomial_multisets,\n", + " include_cost=True,\n", + " )\n", + ")\n", + "print(FunctionBending_polynomial_multisets_factored_cost)\n", + "FunctionBending_polynomial_multisets_factored" + ] + }, + { + "cell_type": "markdown", + "id": "4a19a36b", + "metadata": {}, + "source": [ + "We can then turn this multiset form back into one with binary operations, giving us an end-end-end way to factor polynomials\n", + "in Egglog without exploring the full A/C/D space, reducing the size blowup.\n", + "\n", + "For the smaller expression of the bending function, this produces a result of the same cost as the full factorization\n", + "and takes half the time. It also produces many fewer nodes. While the full factored version has 13,040 in the e-graph,\n", + "this one only has 927, which is only slightly more than the original size after distributing (904 nodes).\n", + "\n", + "For the larger expression, of the gradient, the difference is even starker. This approach is able to factor it to a cost of 79,974,\n", + "whereas we stopped the full factorization after it reached 2,125,338. In terms of e-graph size we have 112,144 nodes at the end\n", + "compared to the 2,582,934 of the full factorization.\n", + "\n", + "So overall, this example shows a way to do a directed factorization to reduce the total cost of an expression,\n", + "without having to explore the full space of equivalent expressions. While this isolated use case might not be a good\n", + "fit for e-graphs, inside of a larger optimization pipeline this shows how we can capture this type of optimization in\n", + "a way that is composable.\n", + "\n", + "Moreover, it is an experiment in how we can build rules on top of containers that use higher order functions\n", + "to do more complicated analysis, without leading to a node blow up.\n", + "\n", + "## Appendix 2: Further Examples\n", + "\n", + "Above I presented a large example that comes from my current line of research. However, there are many\n", + "smaller examples that could also be used to explore the usefulness of this kind of technique. Due to limitations in my time\n", + "I haven't explored these deeply, but did want to mention them.\n", + "\n", + "[Yihong](https://effect.systems/) shared with me an example of how just having a simple associativity rule and a rule for multiplying by zero will lead\n", + "to never saturating:\n", + "\n", + "```clojure\n", + "(datatype Int (mul Int Int) (a) (zero))\n", + "\n", + "(birewrite (mul x (mul y z)) (mul (mul x y) z))\n", + "(rewrite (mul (zero) x) (zero))\n", + "\n", + "(mul (zero) (a))\n", + "(run-schedule (repeat 8 (run)))\n", + "```\n", + "\n", + "Instead, if we represented this as a product of a multiset, we could simply have a rule that looked for a zero element\n", + "in the multiset and replaced that with zero. Then there would be no associativity needed, and so no chance for this to blow up. A `product(MultiSet(...))`\n", + "operation can handle associativity and commutativity and the rebuilding handles merges.\n", + "\n", + "When I asked on the EGraph's Zulip for more examples, Sophia B also [shared another example with me](https://egraphs.zulipchat.com/#narrow/channel/328972-general/topic/A.2FC.20Blowup.20Example/near/573091425). If you have the rule `f(a + b) + 1 = f(a) + f(b)` plus A/C, you can derive equalities like `f(x) + (f(y) + f(z)) = f(x + (y + z)) + 2`, but it can take a large number of nodes.\n", + "Instead in this system, we would have to encode that rule over multisets and add constant propagation to the sum function, to see how it could be found more directly, through normalization.\n", + "\n", + "*I [used an LLM](https://chatgpt.com/share/69969a20-26d4-8011-879a-62a04adfed31) to get feedback on the draft and revised based on its suggestions to improve readability, organization, and consistency.*\n", + "*Thank you Oliver, Yihong, Gilbert and Alexandra also who gave feedback to me throughout this process and while drafting this post.*" + ] + } + ], + "metadata": { + "file_format": "mystnb", + "jupytext": { + "default_lexer": "python" + }, + "kernelspec": { + "display_name": "egglog (3.13.11)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.13.11" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/docs/reference/python-integration.md b/docs/reference/python-integration.md index 23f52d8f..e195fe48 100644 --- a/docs/reference/python-integration.md +++ b/docs/reference/python-integration.md @@ -90,6 +90,14 @@ match MyExpr("hello"): print(f"Matched MyExpr with value: {value}") ``` +This pattern also works well as a general alternative to `cast(...)`-heavy tuple destructuring from `get_callable_args`. If a custom `Expr` exposes preserved properties and `__match_args__`, later walkers can often match nested expressions directly: + +```python +match get_callable_args(expr, Math.__sub__): + case (Math(lhs), Math(rhs)): + ... +``` + ## Python Object Sort We define a custom "primitive sort" (i.e. a builtin type) for `PyObject`s. This allows us to store any Python object in the e-graph. @@ -250,6 +258,8 @@ Registering a conversion from A to B will also register all transitively reachab Math(2) + 30 + "x" ``` +When defining converters for a custom `Expr` sort, prefer registering conversions from egglog primitive sorts such as `i64`, `f64`, and `String` rather than directly from Python builtins like `int`, `float`, and `str`. The builtin promotions already handle those Python values transitively, so keeping the custom converters at the egglog-sort layer makes the promotion path clearer and usually leads to cleaner `...Like` aliases such as `Math | i64Like | f64Like | StringLike`. + If you want to have this work with the static type checker, you can define your own `Union` type, which MUST include the `Expr` class as the first item in the union. For example, in this case you could then define: diff --git a/pyproject.toml b/pyproject.toml index 6a8b3017..9fa0fb5b 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -52,6 +52,12 @@ test = [ "mypy", "syrupy>=5", "egglog[array]", + "pandas", + "altair", + "vl-convert-python", + "jupytext", + "nbclient", + "ipykernel", "opentelemetry-sdk", "opentelemetry-exporter-otlp-proto-http", "pytest-codspeed", @@ -65,8 +71,11 @@ docs = [ "sphinx-autodoc-typehints", "sphinx-gallery", "nbconvert", + "pandas", "matplotlib", "anywidget", + "altair", + "vl-convert-python", "seaborn", "egglog[array]", "line-profiler", @@ -227,6 +236,7 @@ preview = true [tool.ruff.lint.per-file-ignores] # Don't require annotations for tests "python/tests/**" = ["ANN001", "ANN201", "INP001"] +"python/egglog/exp/param_eq/test_*.py" = ["ANN001", "ANN201", "INP001"] "docs/**" = ["I001", "PLW0131"] # Disable these tests instead for now since ruff doesn't support including all method annotations of decorated class @@ -258,7 +268,7 @@ features = ["pyo3/extension-module"] [tool.pytest.ini_options] addopts = ["--import-mode=importlib", "--doctest-modules"] -testpaths = ["python"] +testpaths = ["python/tests", "python/egglog/exp/param_eq"] python_files = ["test_*.py", "test.py"] markers = ["slow: marks tests as slow (deselect with '-m \"not slow\"')"] norecursedirs = ["__snapshots__"] diff --git a/python/egglog/bindings.pyi b/python/egglog/bindings.pyi index 6c05af47..d8f1b230 100644 --- a/python/egglog/bindings.pyi +++ b/python/egglog/bindings.pyi @@ -515,6 +515,7 @@ class Function: class RunReport: iterations: list[IterationReport] updated: bool + can_stop: bool search_and_apply_time_per_rule: dict[str, timedelta] num_matches_per_rule: dict[str, int] search_and_apply_time_per_ruleset: dict[str, timedelta] @@ -525,6 +526,7 @@ class RunReport: cls, iterations: list[IterationReport], updated: bool, + can_stop: bool, search_and_apply_time_per_rule: dict[str, timedelta], num_matches_per_rule: dict[str, int], search_and_apply_time_per_ruleset: dict[str, timedelta], diff --git a/python/egglog/builtins.py b/python/egglog/builtins.py index 5f11934b..1138a496 100644 --- a/python/egglog/builtins.py +++ b/python/egglog/builtins.py @@ -366,6 +366,15 @@ def __rmod__(self, other: f64Like) -> f64: ... @method(egg_fn="abs") def __abs__(self) -> f64: ... + @method(egg_fn="exp") + def exp(self) -> f64: ... + + @method(egg_fn="log") + def log(self) -> f64: ... + + @method(egg_fn="sqrt") + def sqrt(self) -> f64: ... + @method(egg_fn="<") def __lt__(self, other: f64Like) -> Unit: # type: ignore[has-type] ... diff --git a/python/egglog/declarations.py b/python/egglog/declarations.py index 9a5d08e2..35bbf418 100644 --- a/python/egglog/declarations.py +++ b/python/egglog/declarations.py @@ -1031,6 +1031,7 @@ def visit(typed_expr: TypedExprDecl) -> None: @dataclass(frozen=True) class SaturateDecl: schedule: ScheduleDecl + stop_when_no_updates: bool = False @dataclass(frozen=True) @@ -1065,6 +1066,7 @@ class BackOffDecl: id: UUID match_limit: int | None ban_length: int | None + egg_like: bool = False ## diff --git a/python/egglog/egraph.py b/python/egglog/egraph.py index 8fc6643b..38a58bcb 100644 --- a/python/egglog/egraph.py +++ b/python/egglog/egraph.py @@ -1578,11 +1578,14 @@ def __mul__(self, length: int) -> Schedule: """ return Schedule(self.__egg_decls_thunk__, RepeatDecl(self.schedule, length)) - def saturate(self) -> Schedule: + def saturate(self, *, stop_when_no_updates: bool = False) -> Schedule: """ Run the schedule until the e-graph is saturated. """ - return Schedule(self.__egg_decls_thunk__, SaturateDecl(self.schedule)) + return Schedule( + self.__egg_decls_thunk__, + SaturateDecl(self.schedule, stop_when_no_updates=stop_when_no_updates), + ) def __add__(self, other: Schedule) -> Schedule: """ @@ -2063,7 +2066,9 @@ def to_runtime_expr(expr: BaseExpr) -> RuntimeExpr: return expr -def run(ruleset: Ruleset | None = None, *until: FactLike, scheduler: BackOff | None = None) -> Schedule: +def run( + ruleset: Ruleset | UnstableCombinedRuleset | None = None, *until: FactLike, scheduler: BackOff | None = None +) -> Schedule: """ Create a run configuration. """ @@ -2078,16 +2083,23 @@ def run(ruleset: Ruleset | None = None, *until: FactLike, scheduler: BackOff | N ) -def back_off(match_limit: None | int = None, ban_length: None | int = None) -> BackOff: +def back_off( + match_limit: None | int = None, + ban_length: None | int = None, + *, + egg_like: bool = False, +) -> BackOff: """ Create a backoff scheduler configuration. ```python schedule = run(analysis_ruleset).saturate() + run(ruleset, scheduler=back_off(match_limit=1000, ban_length=5)) * 10 ``` - This will run the `analysis_ruleset` until saturation, then run `ruleset` 10 times, using a backoff scheduler. + This will run the `analysis_ruleset` until saturation, then run `ruleset` 10 times, + using a backoff scheduler. Set `egg_like=True` to use the fresh-rematch variant + that is closer to `egg`/`hegg`; the default keeps egglog's backlog behavior. """ - return BackOff(BackOffDecl(id=uuid4(), match_limit=match_limit, ban_length=ban_length)) + return BackOff(BackOffDecl(id=uuid4(), match_limit=match_limit, ban_length=ban_length, egg_like=egg_like)) @dataclass(frozen=True) diff --git a/python/egglog/egraph_state.py b/python/egglog/egraph_state.py index 1d65aeff..523a745d 100644 --- a/python/egglog/egraph_state.py +++ b/python/egglog/egraph_state.py @@ -146,7 +146,7 @@ def helper(s: ScheduleDecl) -> None: self.ruleset_to_egg(ruleset_name) if scheduler and scheduler.id not in bound_schedulers: unbound_schedulers.append(scheduler) - case SaturateDecl(inner) | RepeatDecl(inner, _): + case SaturateDecl(inner, _) | RepeatDecl(inner, _): return helper(inner) case SequenceDecl(schedules): for sc in schedules: @@ -165,7 +165,7 @@ def helper(s: ScheduleDecl) -> None: def _schedule_to_egg(self, schedule: ScheduleDecl) -> bindings._Schedule: msg = "Should never reach this, let schedulers should be handled by custom scheduler" match schedule: - case SaturateDecl(schedule): + case SaturateDecl(schedule, _): return bindings.Saturate(span(), self._schedule_to_egg(schedule)) case RepeatDecl(schedule, times): return bindings.Repeat(span(), times, self._schedule_to_egg(schedule)) @@ -192,7 +192,7 @@ def _schedule_with_scheduler_to_egg( # noqa: C901, PLR0912 The bound_schedulers is a list of all the schedulers that have been bound. We can lookup their name as `_scheduler_{index}`. """ match schedule: - case LetSchedulerDecl(BackOffDecl(id, match_limit, ban_length), inner): + case LetSchedulerDecl(BackOffDecl(id, match_limit, ban_length, egg_like), inner): name = f"_scheduler_{len(bound_schedulers)}" bound_schedulers.append(id) args: list[bindings._Expr] = [] @@ -202,7 +202,8 @@ def _schedule_with_scheduler_to_egg( # noqa: C901, PLR0912 if ban_length is not None: args.append(bindings.Var(span(), ":ban-length")) args.append(bindings.Lit(span(), bindings.Int(ban_length))) - back_off_decl = bindings.Call(span(), "back-off", args) + scheduler_name = "back-off-egg" if egg_like else "back-off" + back_off_decl = bindings.Call(span(), scheduler_name, args) let_decl = bindings.Call(span(), "let-scheduler", [bindings.Var(span(), name), back_off_decl]) return [let_decl, *self._schedule_with_scheduler_to_egg(inner, bound_schedulers)] case RunDecl(ruleset_ident, until, scheduler): @@ -224,10 +225,11 @@ def _schedule_with_scheduler_to_egg( # noqa: C901, PLR0912 raise ValueError(msg) args.append(fact_egg.expr) return [bindings.Call(span(), name, args)] - case SaturateDecl(inner): - return [ - bindings.Call(span(), "saturate", self._schedule_with_scheduler_to_egg(inner, bound_schedulers)) - ] + case SaturateDecl(inner, stop_when_no_updates): + args = self._schedule_with_scheduler_to_egg(inner, bound_schedulers) + if stop_when_no_updates: + args = [bindings.Var(span(), ":stop-when-no-updates"), *args] + return [bindings.Call(span(), "saturate", args)] case RepeatDecl(inner, times): return [ bindings.Call( diff --git a/python/egglog/exp/param_eq/Makefile b/python/egglog/exp/param_eq/Makefile new file mode 100644 index 00000000..43cc4304 --- /dev/null +++ b/python/egglog/exp/param_eq/Makefile @@ -0,0 +1,54 @@ +# Canonical local workflow for the retained param-eq replication package. +# The file dependencies document the expected order: +# 1. normalize archived Haskell outputs +# 2. run the Egglog corpus against those normalized rows +# 3. refresh the golden cases and notebook +# 4. run the replication-local tests + +PARAM_EQ_DIR := $(abspath $(dir $(lastword $(MAKEFILE_LIST)))) +REPO_ROOT := $(abspath $(PARAM_EQ_DIR)/../../../..) +EGGLOG_PARAM_EQ_DATA_DIR ?= $(REPO_ROOT)/../param-eq-haskell +export EGGLOG_PARAM_EQ_DATA_DIR + +ARTIFACT_DIR := $(PARAM_EQ_DIR)/artifacts +GOLDEN := $(PARAM_EQ_DIR)/haskell_golden.json +NOTEBOOK := $(PARAM_EQ_DIR)/replication.ipynb +HASKELL_ROWS := $(ARTIFACT_DIR)/haskell_paper_rows.csv +RUNTIME_ROWS := $(ARTIFACT_DIR)/pagie_runtime_scatter.csv +EGGLOG_ROWS := $(ARTIFACT_DIR)/egglog_paper_rows.csv + +HASKELL_FIXTREE := $(EGGLOG_PARAM_EQ_DATA_DIR)/src/FixTree.hs +HASKELL_MAIN := $(EGGLOG_PARAM_EQ_DATA_DIR)/src/Main.hs +HASKELL_RESULTS := $(EGGLOG_PARAM_EQ_DATA_DIR)/results +HASKELL_RUNTIME := $(EGGLOG_PARAM_EQ_DATA_DIR)/runtimes +HASKELL_TABLES := \ + $(HASKELL_RESULTS)/pagie_table_counts.csv \ + $(HASKELL_RESULTS)/kotanchek_table_counts.csv +HASKELL_EXPRS := \ + $(wildcard $(HASKELL_RESULTS)/exprs/*_exprs_*) \ + $(wildcard $(HASKELL_RESULTS)/exprs_simpl/*_exprs_*) + +.PHONY: golden artifacts notebook test all + +$(HASKELL_ROWS) $(RUNTIME_ROWS): $(PARAM_EQ_DIR)/normalize_archives.py $(PARAM_EQ_DIR)/paths.py $(HASKELL_TABLES) $(HASKELL_EXPRS) $(HASKELL_RUNTIME) + cd $(REPO_ROOT) && uv run python -m egglog.exp.param_eq.normalize_archives + +$(EGGLOG_ROWS): $(PARAM_EQ_DIR)/run_egglog_corpus.py $(PARAM_EQ_DIR)/pipeline.py $(HASKELL_ROWS) $(RUNTIME_ROWS) + cd $(REPO_ROOT) && uv run python -m egglog.exp.param_eq.run_egglog_corpus + +$(GOLDEN): $(PARAM_EQ_DIR)/generate_haskell_golden.py $(PARAM_EQ_DIR)/pipeline.py $(PARAM_EQ_DIR)/paths.py $(HASKELL_FIXTREE) $(HASKELL_MAIN) $(HASKELL_ROWS) + cd $(REPO_ROOT) && uv run python -m egglog.exp.param_eq.generate_haskell_golden + +$(NOTEBOOK): $(PARAM_EQ_DIR)/replication.py $(HASKELL_ROWS) $(EGGLOG_ROWS) $(RUNTIME_ROWS) + cd $(REPO_ROOT) && uv run python python/egglog/exp/param_eq/replication.py + +golden: $(GOLDEN) + +artifacts: $(EGGLOG_ROWS) + +notebook: $(NOTEBOOK) + +test: $(GOLDEN) $(EGGLOG_ROWS) $(NOTEBOOK) + cd $(REPO_ROOT) && uv run pytest python/egglog/exp/param_eq/test_pipeline.py python/egglog/exp/param_eq/test_replication_notebook.py -q + +all: test diff --git a/python/egglog/exp/param_eq/README.md b/python/egglog/exp/param_eq/README.md new file mode 100644 index 00000000..faa36b68 --- /dev/null +++ b/python/egglog/exp/param_eq/README.md @@ -0,0 +1,135 @@ +# Param-Eq Paper Replication + +This directory is the canonical retained baseline for reproducing the older +`param-eq-haskell` pipeline in Egglog before any multiset changes. + +The retained source-of-truth files are: + +- Haskell implementation: + - `../param-eq-haskell/src/FixTree.hs` + - `../param-eq-haskell/src/Main.hs` + - `../param-eq-haskell/results/` +- Egglog translation: + - [pipeline.py](pipeline.py) +- Corpus-level plots and observed results: + - [replication.py](replication.py) + - [replication.ipynb](replication.ipynb) +- Current hypothesis ledger and rejected fixes: + - [replication_status.md](replication_status.md) + +The main division of responsibility is: + +- [pipeline.py](pipeline.py) says what the translation is +- [replication.py](replication.py) says what happened when we ran it on the + archived paper rows +- [replication_status.md](replication_status.md) says what still differs, what + we tried, and what hypothesis remains live + +## Retained files + +- [pipeline.py](pipeline.py): canonical Egglog translation of the paper-era + simplification pipeline +- [generate_haskell_golden.py](generate_haskell_golden.py): regenerates + [haskell_golden.json](haskell_golden.json) from live Haskell runs +- [normalize_archives.py](normalize_archives.py): normalizes the archived + Haskell paper outputs into checked-in CSV artifacts +- [run_egglog_corpus.py](run_egglog_corpus.py): runs the Egglog baseline across + the archived paper rows +- [inspect_case.py](inspect_case.py): focused case inspector for schedule and + extraction debugging +- [replication.py](replication.py): jupytext notebook source +- [replication.ipynb](replication.ipynb): executed notebook artifact generated + from the jupytext source +- [replication_status.md](replication_status.md): current parity state, rejected + fixes, and next hypotheses +- [artifacts/](artifacts/): checked-in normalized paper artifacts used by the + notebook +- [haskell_golden.json](haskell_golden.json): Haskell-backed golden cases used + by [test_pipeline.py](test_pipeline.py) + +## Workflow + +The local [Makefile](Makefile) in this directory is the canonical entrypoint: + +```bash +cd python/egglog/exp/param_eq +make all +``` + +The supported targets are: + +- `make golden`: regenerate [haskell_golden.json](haskell_golden.json) from live + Haskell runs +- `make artifacts`: regenerate the normalized paper CSV artifacts +- `make notebook`: run [replication.py](replication.py) and refresh + [replication.ipynb](replication.ipynb) +- `make test`: run the replication-local pytest targets + +## Data root + +By default the live Haskell/source data root is expected at the sibling path +`../param-eq-haskell` relative to the `egg-smol-python` checkout. + +Override it with: + +```bash +export EGGLOG_PARAM_EQ_DATA_DIR=/path/to/param-eq-haskell +``` + +That path is used by: + +- [generate_haskell_golden.py](generate_haskell_golden.py) +- [normalize_archives.py](normalize_archives.py) +- [replication_status.md](replication_status.md) when it cites live Haskell + source locations + +The checked-in notebook and tests do not shell out to Haskell during normal +execution. They only read the checked-in artifacts in [artifacts/](artifacts/) +and [haskell_golden.json](haskell_golden.json). + +## What To Read First + +If you want the current observed results, start with +[replication.py](replication.py) or [replication.ipynb](replication.ipynb). +That notebook contains the current corpus-level comparisons, plots, and +conclusions about whether Egglog is meeting the archived Haskell baseline. + +If you want the current remaining gap, start with +[replication_status.md](replication_status.md). It intentionally does not repeat +the notebook plots or corpus-level numbers. Instead it records: + +- the accepted schedule approximation +- the remaining mismatch frontier +- rejected fixes that should not be repeated casually +- the current hypothesis for why exact parity is still missing + +## Why the schedule looks the way it does + +[pipeline.py](pipeline.py) intentionally cites the exact `FixTree.hs` functions +it mirrors: + +- `evalConstant` +- `joinA` +- `modifyA` +- `rewritesBasic` +- `rewritesFun` +- `rewriteTree` +- `simplifyE` + +The accepted approximation today is the bounded four-round schedule documented +in [replication_status.md](replication_status.md). The quantitative evidence for +keeping that approximation, and the corpus-level consequences of it, are in the +comparison notebook: + +- [replication.py](replication.py), especially: + - `## 4. Haskell vs Egglog Comparison` + - `## 5. Current Limitations and Likely A/C Effects` + +## Scope + +This branch is the pre-multiset baseline. + +Future refinement should start from this directory, the notebook, and +[replication_status.md](replication_status.md) before trying multiset/container +changes. The earlier `srtree` and other SR experiment families were +intentionally removed so the retained baseline stays auditable. diff --git a/python/egglog/exp/param_eq/__init__.py b/python/egglog/exp/param_eq/__init__.py new file mode 100644 index 00000000..10d90f73 --- /dev/null +++ b/python/egglog/exp/param_eq/__init__.py @@ -0,0 +1 @@ +"""Retained param-eq paper-replication baseline for egglog Python.""" diff --git a/python/egglog/exp/param_eq/__main__.py b/python/egglog/exp/param_eq/__main__.py new file mode 100644 index 00000000..089622af --- /dev/null +++ b/python/egglog/exp/param_eq/__main__.py @@ -0,0 +1,9 @@ +"""Run the retained param-eq replication CLI as ``python -m egglog.exp.param_eq``.""" + +from __future__ import annotations + +from .pipeline import _cli + + +if __name__ == "__main__": + _cli() diff --git a/python/egglog/exp/param_eq/artifacts/egglog_paper_rows.csv b/python/egglog/exp/param_eq/artifacts/egglog_paper_rows.csv new file mode 100644 index 00000000..a8caef9a --- 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(x1))))))),saturated,188.374875,21,4,19,3,54,61,31,2,40,(1.09374 * ((1.7986404447126374 - exp(((x1 - x1) - (x1 * x1)))) - exp((-0.7999999999999998 * (x0 * x0))))),saturated,189.905625,19,3,19,3,61,68,33,2,40,(1.09374 * ((1.7986404447126374 - exp(((x1 - x1) - (x1 * x1)))) - exp((-0.7999999999999998 * (x0 * x0))))) +pagie,113,GOMEA,GOMEA,24,1,kept,4.0,3.0,egglog-baseline,1.961773-1.139885*(exp(((-4.331000*(x1*x0))*((x1*x0)*exp(-3.893000))))),(1.961773) - ((1.139885) * (exp((x1) * ((-8.82835453806378e-2) * ((x0) * ((x1) * (x0))))))),saturated,208.207166,17,4,14,3,109,114,31,2,33,(-1.139885 * (exp((-0.0882835453806378 * ((x1 * x0) * (x1 * x0)))) + -1.7210271211569588)),saturated,169.705208,14,3,14,3,134,143,46,1,33,(1.961773 - (1.139885 * exp((x1 * (-0.0882835453806378 * (x0 * (x1 * x0))))))) +pagie,114,GOMEA,GOMEA,25,1,kept,3.0,3.0,egglog-baseline,2.015663-2.611492*((exp((x1-exp(x1)))+exp(((1.434000-2.275000)-(x0*x0))))),(2.015663) - ((2.611492) * ((exp((x1) - (exp(x1)))) + (exp((-0.841) - ((x0) * (x0)))))),saturated,184.030333,18,4,16,3,33,38,23,2,35,(2.611492 * ((0.7718434519424144 - exp((-0.841 - (x0 * x0)))) - exp((x1 - exp(x1))))),saturated,183.805791,16,3,16,3,33,38,23,2,35,(2.611492 * ((0.7718434519424144 - exp((-0.841 - (x0 * x0)))) - exp((x1 - exp(x1))))) +pagie,115,GOMEA,GOMEA,26,1,kept,4.0,2.0,egglog-baseline,1.950387-0.000000*((exp((19.402000-(x1*x1)))+exp(((18.128000+1.277000)-(x0*x0))))),1.950387,saturated,186.849375,19,5,1,1,3,4,3,2,6,1.950387,saturated,159.382250,1,1,1,1,3,4,3,1,6,1.950387 +pagie,116,GOMEA,GOMEA,27,1,kept,4.0,2.0,egglog-baseline,2.013362-0.000000*((exp(((x0+22.086000)-exp(x0)))+exp(((6.546000+14.636000)-(x1*x1))))),2.013362,saturated,187.273083,20,5,1,1,3,4,3,2,6,2.013362,saturated,162.431000,1,1,1,1,3,4,3,1,6,2.013362 +pagie,117,GOMEA,GOMEA,28,1,kept,2.0,2.0,egglog-baseline,1.950390-1.109849*((exp(((x0-x0)-(x1*x1)))+exp(((x0-x0)-(x0*x0))))),(1.95039) - ((1.109849) * ((exp((x0) - ((x0) + ((x1) * (x1))))) + (exp((x0) - ((x0) + ((x0) * (x0))))))),saturated,185.603708,21,2,21,2,52,58,28,2,39,(1.109849 * ((1.7573471706511425 - exp(((x0 - x0) - (x0 * x0)))) - exp(((x0 - x0) - (x1 * x1))))),saturated,188.208209,21,2,21,2,66,72,32,2,39,(1.109849 * ((1.7573471706511425 - exp(((x0 - x0) - (x0 * x0)))) - exp(((x0 - x0) - (x1 * x1))))) +pagie,118,GOMEA,GOMEA,29,1,kept,4.0,3.0,egglog-baseline,2.072676-0.000520*((exp(((x1+8.426000)-exp(x1)))+exp(((8.611000+x0)-exp(x0))))),(2.072676) - ((5.2e-4) * ((exp(((x1) + (8.426)) - (exp(x1)))) + (exp(((8.611) + (x0)) - (exp(x0)))))),saturated,184.388125,19,4,19,4,42,48,28,2,43,(0.00052 * ((3985.915384615385 - exp(((8.611 + x0) - exp(x0)))) - exp(((x1 + 8.426) - exp(x1))))),saturated,183.874958,19,4,19,4,42,48,28,2,43,(0.00052 * ((3985.915384615385 - exp(((8.611 + x0) - exp(x0)))) - exp(((x1 + 8.426) - exp(x1))))) +pagie,119,GOMEA,GOMEA,30,1,kept,4.0,4.0,egglog-baseline,1.983784-1.077004*((exp(((x1*x1)*(-17.973000+17.206000)))+exp(((-1.143000+0.306000)*(x0*x0))))),(1.983784) - ((1.077004) * ((exp(((x1) * (x1)) * (-0.7669999999999995))) + (exp((-0.837) * ((x0) * (x0)))))),saturated,187.339709,21,6,17,4,48,54,28,2,41,(1.077004 * ((1.8419467337168662 - exp((-0.837 * (x0 * x0)))) - exp(((x1 * x1) * -0.7669999999999995)))),saturated,185.120750,17,4,17,4,48,54,28,2,41,(1.077004 * ((1.8419467337168662 - exp((-0.837 * (x0 * x0)))) - exp(((x1 * x1) * -0.7669999999999995)))) +pagie,120,Operon,Operon,1,1,kept,12.0,7.0,egglog-baseline,(0.0000018283429881 + (1.0000038146972656 * (((exp((((0.0879114493727684 * x0) * ((-110.2642364501953125) * x0)) + (-1.4756100177764893))) + 1.6358861923217773) / exp(exp((((-1.3751174211502075) * x1) * (0.7306602597236633 * x1))))) - (exp((((0.0290526524186134 * x0) * ((-29.7418365478515625) * x0)) + 0.1625563055276871)) + (-0.3440066277980804))))),(1.0000038146972656) * (((((exp(((-9.69348884031831) * ((x0) * (x0))) + (-1.4756100177764893))) + (1.6358861923217773)) / (exp(exp((-1.0047436520881448) * ((x1) * (x1)))))) - (exp((((x0) * (x0)) * (-0.8640792395159441)) + (0.1625563055276871)))) + (0.3440084561340939)),saturated,196.154333,39,12,31,8,100,112,56,2,77,(1.0000038146972656 * (0.3440084561340939 + (((exp(((-9.69348884031831 * (x0 * x0)) + -1.4756100177764893)) + 1.6358861923217773) / exp(exp((-1.0047436520881448 * (x1 * x1))))) - exp(((-0.8640792395159441 * (x0 * x0)) + 0.1625563055276871))))),saturated,166.283709,31,8,31,8,100,112,56,1,77,(1.0000038146972656 * ((((exp(((-9.69348884031831 * (x0 * x0)) + -1.4756100177764893)) + 1.6358861923217773) / exp(exp((-1.0047436520881448 * (x1 * x1))))) - exp((((x0 * x0) * -0.8640792395159441) + 0.1625563055276871))) + 0.3440084561340939)) +pagie,121,Operon,Operon,2,1,kept,13.0,6.0,egglog-baseline,((-0.0615618973970413) + (1.0497297048568726 * (((((3.4508244991302490 * x0) * (exp(((2.5524139404296875 * x0) * ((-1.6356614828109741) * x0))) * (((2.4663076400756836 * x0) * ((-0.0845688283443451) * x0)) * (3.5071039199829102 * x0)))) - exp(((3.0741317272186279 * x0) * ((-0.2599562704563141) * x0)))) - exp(((0.0030150315724313 * x1) * ((-247.1376800537109375) * x1)))) + 1.9547927379608154))),(1.0497297048568726) * (((((exp((-4.174885170550624) * ((x0) * (x0)))) * (((x0) * ((x0) * (x0))) * ((x0) * (-2.5242308455470654)))) - (exp(((x0) * (x0)) * (-0.7991398186991816)))) - (exp((-0.7451279080993636) * ((x1) * (x1))))) + (1.8961472627378055)),saturated,4024.922458,48,13,34,6,177,185,53,2,74,(1.0497297048568726 * (1.8961472627378055 + ((((-2.524230845547065 * (x0 * ((x0 * x0) * x0))) * exp((-4.174885170550624 * (x0 * x0)))) - exp((-0.7991398186991816 * (x0 * x0)))) - exp((-0.7451279080993636 * (x1 * x1)))))),saturated,179.855958,34,6,34,6,177,185,53,1,74,(1.0497297048568726 * ((((exp((-4.174885170550624 * (x0 * x0))) * ((x0 * (x0 * x0)) * (x0 * -2.5242308455470654))) - exp(((x0 * x0) * -0.7991398186991816))) - exp((-0.7451279080993636 * (x1 * x1)))) + 1.8961472627378055)) +pagie,122,Operon,Operon,3,1,kept,13.0,7.0,egglog-baseline,(0.0000011243114386 + (0.9999998211860657 * (((((-1.5812002420425415) + exp((((-0.1428712755441666) * x1) * (6.4702811241149902 * x1)))) + exp(((0.0134312557056546 * x0) * ((-68.7404861450195312) * x0)))) * (-1.2517620325088501)) - ((exp((((-0.0396961532533169) * x1) * (152.2495422363281250 * x1))) + exp(((1.0955569744110107 * x0) * ((-5.6038808822631836) * x0)))) * (-0.2742688059806824))))),(1.2517618086763562) * ((1.5812011402257509) - ((exp((-0.9244173173316528) * ((x1) * (x1)))) + ((exp((-0.9232710467447646) * ((x0) * (x0)))) + (((exp(((x1) * (x1)) * (-6.043721161360626))) + (exp(((x0) * (x0)) * (-6.139370784331959)))) * (-0.21910618700503146))))),saturated,248.209833,45,13,33,7,158,168,60,2,76,(-1.2517618086763562 * ((-1.5812011402257509 + (exp((-0.9232710467447646 * (x0 * x0))) + exp((-0.9244173173316528 * (x1 * x1))))) + (-0.21910618700503146 * (exp((-6.043721161360626 * (x1 * x1))) + exp((-6.139370784331959 * (x0 * x0))))))),saturated,211.300542,33,7,33,7,96,107,53,2,76,(1.2517618086763562 * (((1.5812011402257509 - exp((-0.9232710467447646 * (x0 * x0)))) - exp((-0.9244173173316528 * (x1 * x1)))) - ((exp(((x1 * x1) * -6.043721161360626)) + exp(((x0 * x0) * -6.139370784331959))) * -0.21910618700503146))) +pagie,123,Operon,Operon,4,1,kept,13.0,8.0,egglog-baseline,(0.0130726965144277 + (0.9919041991233826 * (exp(((((58.9215812683105469 * x0) * exp((((-5.0386314392089844) * x1) * (2.4705743789672852 * x1)))) + (log(((0.4419521391391754 * x0) * (0.1393797099590302 * x0))) / (0.0113436263054609 * x0))) / (381.6167297363281250 * x0))) - (exp(((((-0.8848519921302795) * x1) * (0.9313139915466309 * x1)) + 0.1248256787657738)) + (-0.9970148205757141))))),(0.9919041991233826) * (((exp((((x0) * (exp((-12.448313738768775) * ((x1) * (x1))))) + ((log((6.1599160968991234e-2) * ((x0) * (x0)))) * ((1.4961450344221223) / (x0)))) * ((0.154399890458213) / (x0)))) - (exp((((x1) * (x1)) * (-0.8240750407188386)) + (0.1248256787657738)))) + (1.0101942148417944)),saturated,274.933333,47,13,37,8,123,135,63,2,86,(0.9919041991233826 * (1.0101942148417944 + (exp(((0.154399890458213 / x0) * ((exp((-12.448313738768775 * (x1 * x1))) * x0) + ((-2.7871070291686837 + log((x0 * x0))) * (1.4961450344221223 / x0))))) - exp((-0.8240750407188386 * ((x1 * x1) + -0.1514736796989855)))))),saturated,209.111333,37,8,37,8,123,135,63,1,86,(0.9919041991233826 * ((exp((((x0 * exp((-12.448313738768775 * (x1 * x1)))) + (log((0.061599160968991234 * (x0 * x0))) * (1.4961450344221223 / x0))) * (0.154399890458213 / x0))) - exp((((x1 * x1) * -0.8240750407188386) + 0.1248256787657738))) + 1.0101942148417944)) +pagie,124,Operon,Operon,5,1,kept,13.0,7.0,egglog-baseline,((-0.0197761859744787) + (1.0117771625518799 * ((exp(((1.6896657943725586 * x1) * ((-1.6174912452697754) * x1))) * ((0.0575970448553562 * x1) * ((-14.7621564865112305) * x1))) - (exp(((0.4481753110885620 * x1) * ((-1.8585087060928345) * x1))) - (1.9719880819320679 - exp((((0.2870940864086151 * x0) * ((-1.9049599170684814) * x0)) / exp((((-0.2803071439266205) * x0) * (0.7164036631584167 * x0)))))))))),(1.0117771625518799) * ((((exp((-2.733019629829414) * ((x1) * (x1)))) * (((x1) * (x1)) * (-0.8502565893153748))) - ((exp(((x1) * (x1)) * (-0.832937717513957))) + (exp(((-0.5469027270358069) * ((x0) * (x0))) / (exp(((x0) * (x0)) * (-0.20081306471850446))))))) + (1.9524420922552503)),saturated,362.811791,49,13,37,7,148,157,58,2,82,(1.0117771625518799 * (1.9524420922552503 + ((exp((-2.733019629829414 * (x1 * x1))) * (-0.8502565893153748 * (x1 * x1))) - (exp(((-0.5469027270358069 * (x0 * x0)) / exp((-0.20081306471850446 * (x0 * x0))))) + exp((-0.832937717513957 * (x1 * x1))))))),saturated,203.581041,37,7,37,7,148,157,58,1,82,(1.0117771625518799 * (((exp((-2.733019629829414 * (x1 * x1))) * ((x1 * x1) * -0.8502565893153748)) - (exp(((x1 * x1) * -0.832937717513957)) + exp(((-0.5469027270358069 * (x0 * x0)) / exp(((x0 * x0) * -0.20081306471850446)))))) + 1.9524420922552503)) +pagie,125,Operon,Operon,6,1,kept,13.0,8.0,egglog-baseline,(0.0004403672355693 + (0.9997187852859497 * (exp((((-13.4114389419555664) * x0) * (0.2287123352289200 * x0))) - ((-3.1294746398925781) + (exp((exp((((-3.3788871765136719) * x0) * (0.2795567214488983 * x0))) - (-0.1448028236627579))) + ((1.0040752887725830 + ((1.8763431310653687 * x1) * (0.6411635279655457 * x1))) / exp(((1.1580088138580322 * x1) * (1.2662296295166016 * x1))))))))),(0.9997187852859497) * (((exp((-3.067361519194734) * ((x0) * (x0)))) - ((exp((exp(((x0) * (x0)) * (-0.9445906212118871))) + (0.1448028236627579))) + (((1.004075288772583) + ((1.20304278158779) * ((x1) * (x1)))) / (exp((x1) * ((x1) * (1.4663050713484154))))))) + (3.1299151310007285)),saturated,488.048500,45,13,35,8,140,153,68,2,83,(0.9997187852859497 * (3.1299151310007285 + (exp((-3.067361519194734 * (x0 * x0))) - (exp((exp((-0.9445906212118871 * (x0 * x0))) + 0.1448028236627579)) + (((x1 * x1) + 0.8346131194498276) * (1.20304278158779 / exp((1.4663050713484154 * (x1 * x1))))))))),saturated,176.407500,35,8,35,8,153,167,73,1,83,(0.9997187852859497 * ((exp((-3.067361519194734 * (x0 * x0))) - (exp((exp(((x0 * x0) * -0.9445906212118871)) + 0.1448028236627579)) + ((1.004075288772583 + (1.20304278158779 * (x1 * x1))) / exp((x1 * (x1 * 1.4663050713484154)))))) + 3.1299151310007285)) +pagie,126,Operon,Operon,7,1,kept,12.0,7.0,egglog-baseline,(0.0028247879818082 + (0.9984024167060852 * (0.7176343202590942 - ((exp(((4.5870537757873535 * x1) * ((-0.0708576515316963) * x1))) / ((((-2.5320065021514893) * x1) * ((-0.5026428699493408) * x1)) + exp((((-1.5353101491928101) * x1) * (1.0705516338348389 * x1))))) + ((-3.4508912563323975) / exp(exp(exp(((1.6964559555053711 * x0) * ((-0.5267499089241028) * x0)))))))))),(2.8247879818082e-3) + ((0.9984024167060852) * ((0.7176343202590942) - (((exp((-0.3250278580018921) * ((x1) * (x1)))) / ((((x1) * (x1)) * (1.2726950149718164)) + (exp(((x1) * (x1)) * (-1.643628788661573))))) + ((-3.4508912563323975) / (exp(exp(exp((-0.893608020056206) * ((x0) * (x0)))))))))),saturated,195.200625,44,12,36,8,107,118,57,2,84,(0.0028247879818082 + (0.9984024167060852 * (0.7176343202590942 - ((exp((-0.3250278580018921 * (x1 * x1))) / ((1.2726950149718164 * (x1 * x1)) + exp((-1.643628788661573 * (x1 * x1))))) + (-3.4508912563323975 / exp(exp(exp((-0.893608020056206 * (x0 * x0)))))))))),saturated,167.901917,36,8,36,8,107,118,57,1,84,(0.0028247879818082 + (0.9984024167060852 * (0.7176343202590942 - ((exp((-0.3250278580018921 * (x1 * x1))) / (((x1 * x1) * 1.2726950149718164) + exp(((x1 * x1) * -1.643628788661573)))) + (-3.4508912563323975 / exp(exp(exp((-0.893608020056206 * (x0 * x0)))))))))) +pagie,127,Operon,Operon,8,1,kept,13.0,7.0,egglog-baseline,((-0.0218773111701012) + (1.0134590864181519 * ((((((-0.3641613721847534) * x0) * (2.2286646366119385 * x0)) * exp((((-2.4582626819610596) * x0) * (1.0862829685211182 * x0)))) + (1.9716572761535645 - exp(((((-2.4894037246704102) * x1) * (0.2193875461816788 * x1)) * exp((((-0.4357891678810120) * x1) * ((-0.4778871238231659) * x1))))))) - exp((((-1.3948150873184204) * x0) * (0.5922598838806152 * x0)))))),(-2.18773111701012e-2) + ((1.0134590864181519) * (((((-0.8115935722082384) * ((x0) * (x0))) * (exp(((x0) * (x0)) * (-2.670368883565345)))) + ((1.9716572761535645) - (exp(((-0.5461441746109729) * ((x1) * (x1))) * (exp(((x1) * (x1)) * (0.20825803203194762))))))) - (exp(((x0) * (x0)) * (-0.8260930216501379))))),saturated,217.516208,49,13,39,8,160,171,64,2,89,(-0.0218773111701012 + (1.0134590864181519 * ((((-0.8115935722082384 * (x0 * x0)) * exp((-2.670368883565345 * (x0 * x0)))) + (1.9716572761535645 - exp(((-0.5461441746109729 * (x1 * x1)) * exp((0.20825803203194762 * (x1 * x1))))))) - exp((-0.8260930216501379 * (x0 * x0)))))),saturated,169.367166,39,8,39,8,160,171,64,1,89,(-0.0218773111701012 + (1.0134590864181519 * ((((-0.8115935722082384 * (x0 * x0)) * exp(((x0 * x0) * -2.670368883565345))) + (1.9716572761535645 - exp(((-0.5461441746109729 * (x1 * x1)) * exp(((x1 * x1) * 0.20825803203194762)))))) - exp(((x0 * x0) * -0.8260930216501379))))) +pagie,128,Operon,Operon,9,1,kept,13.0,7.0,egglog-baseline,((-0.0000084446337496) + (1.0000045299530029 * ((((exp(((1.8677622079849243 * x1) * ((-3.2215218544006348) * x1))) + exp(((4.2088832855224609 * x0) * ((-1.4519027471542358) * x0)))) * 0.2748067975044250) - ((exp(((0.5492876768112183 * x1) * ((-1.6836870908737183) * x1))) + exp(((1.3932512998580933 * x0) * ((-0.6629599928855896) * x0)))) * 1.2524310350418091)) + 1.9792671203613281))),(0.2748080423663026) * ((((exp((-6.0170367718470175) * ((x1) * (x1)))) + (exp((-6.110889204701607) * ((x0) * (x0))))) - (((exp(((x1) * (x1)) * (-0.9248285706230632))) + (exp(((x0) * (x0)) * (-0.92366987184176)))) * (4.5574965627320125))) + (7.20236432919372)),saturated,265.892041,45,13,33,7,158,168,60,2,76,(0.2748080423663026 * ((-4.5574965627320125 * ((exp((-0.9248285706230632 * (x1 * x1))) + exp((-0.92366987184176 * (x0 * x0)))) + -1.5803334637900919)) + (exp((-6.0170367718470175 * (x1 * x1))) + exp((-6.110889204701607 * (x0 * x0)))))),saturated,194.002417,33,7,33,7,158,168,60,2,76,(0.2748080423663026 * (((exp((-6.0170367718470175 * (x1 * x1))) + exp((-6.110889204701607 * (x0 * x0)))) + (-4.5574965627320125 * (exp(((x1 * x1) * -0.9248285706230632)) + exp(((x0 * x0) * -0.92366987184176))))) + 7.20236432919372)) +pagie,129,Operon,Operon,10,1,kept,14.0,8.0,egglog-baseline,(0.0000002913372725 + (1.0000000000000000 * ((1.0092900991439819 / ((((-9.8911437988281250) * x0) * ((-0.0619828216731548) * x0)) - exp((((-5.2376017570495605) * x0) * ((-0.1814788132905960) * x0))))) + ((2.9227268695831299 / ((-1.9528466463088989) - exp((((-1044.4626464843750000) * x1) * ((-0.0013573808828369) * x1))))) + (((241.8676300048828125 * x1) * (0.0000091869978860 * x1)) - (-1.9428678750991821)))))),((1.009290099143982) / (((0.6130810022262947) * ((x0) * (x0))) - (exp(((x0) * (x0)) * (0.9505137513580948))))) + ((((2.92272686958313) / ((-1.952846646308899) - (exp((1.417733629175126) * ((x1) * (x1)))))) + (((x1) * (x1)) * (2.2220374055466887e-3))) + (1.9428681664364547)),saturated,606.782417,45,14,33,8,226,239,78,2,81,((1.9428681664364547 + (0.0022220374055466887 * (x1 * x1))) + ((1.009290099143982 / ((0.6130810022262947 * (x0 * x0)) - exp((0.9505137513580948 * (x0 * x0))))) + (2.92272686958313 / (-1.952846646308899 - exp((1.417733629175126 * (x1 * x1))))))),saturated,198.571209,33,8,33,8,226,239,78,1,81,((1.009290099143982 / ((0.6130810022262947 * (x0 * x0)) - exp(((x0 * x0) * 0.9505137513580948)))) + (((2.92272686958313 / (-1.952846646308899 - exp((1.417733629175126 * (x1 * x1))))) + ((x1 * x1) * 0.0022220374055466887)) + 1.9428681664364547)) +pagie,130,Operon,Operon,11,1,kept,13.0,8.0,egglog-baseline,((-0.0000135196241899) + (1.0000069141387939 * ((1.2255471944808960 * exp(((-1.7740323543548584) * exp(((2.9035081863403320 * x1) * ((-0.4098204970359802) * x1)))))) - ((1.2498761415481567 * exp(((0.1515025645494461 * x0) * ((-6.0828857421875000) * x0)))) + ((-0.7505750060081482) - (0.2749604582786560 * exp(((1.1432402133941650 * x0) * ((-5.4770793914794922) * x0))))))))),(1.2255556680842972) * (((exp((-1.7740323543548584) * (exp((-1.1899171680740324) * ((x1) * (x1)))))) - ((exp((-0.9215727898026671) * ((x0) * (x0)))) * (1.019851497499911))) + ((0.6124296884342743) + ((exp(((x0) * (x0)) * (-6.261617412291798))) * (0.22435729894116463)))),timeout,180000.000000,na,na,na,na,na,na,na,na,na,timeout,saturated,254.376375,31,8,31,8,232,248,90,2,77,(1.2255556680842972 * ((exp((-1.7740323543548584 * exp((-1.1899171680740324 * (x1 * x1))))) + (-1.019851497499911 * exp((-0.9215727898026671 * (x0 * x0))))) + (0.6124296884342743 + (exp(((x0 * x0) * -6.261617412291798)) * 0.22435729894116463)))) +pagie,131,Operon,Operon,12,1,kept,14.0,6.0,egglog-baseline,((-0.0001345924683847) + (1.0000907182693481 * (((0.0052004987373948 * x0) * ((-5.5132131576538086) * x0)) - (log((((-29.4069671630859375) * x1) * (((-0.0669591948390007) + (((7.1831178665161133 * x0) * ((-12.8945026397705078) * x0)) * (((-0.0048121302388608) * x0) * ((-3.7251195907592773) * x0)))) * (11.7470531463623047 * x1)))) * ((-0.1758960038423538) + ((5.9699630737304688 * x1) * (0.0000638487472315 * x1))))))),(-1.345924683847e-4) + ((((x0) * (x0)) - ((log(((((x0) * (x0)) * ((x0) * (x0))) + (4.032877607032475e-2)) * (((x1) * (x1)) * (573.5540504295212)))) * ((((x1) * (x1)) + (-461.4577535941546)) * (-1.3294568501084911e-2)))) * (-2.867405909042241e-2)),timeout,180000.000000,na,na,na,na,na,na,na,na,na,timeout,saturated,233.478625,32,6,32,6,129,139,54,2,72,(-0.02867405909042241 * (((x0 * x0) + (0.013294568501084911 * (log(((((x0 * x0) * (x0 * x0)) + 0.04032877607032475) * ((x1 * x1) * 573.5540504295212))) * ((x1 * x1) + -461.4577535941546)))) + 0.004693875672093318)) +pagie,132,Operon,Operon,13,1,kept,12.0,8.0,egglog-baseline,((-0.0000847672417876) + (1.0000656843185425 * ((exp((((-1.8279364109039307) * x1) * (2.2386462688446045 * x1))) - ((-1.5547065734863281) + ((-1.6497515439987183) / exp(exp(((0.0022635490167886 * x0) * ((-443.1721801757812500) * x0))))))) - exp(exp(((-1.6148645877838135) + exp((0.5693863630294800 + ((0.0016070556594059 * x1) * ((-348.2632751464843750) * x1)))))))))),(-8.47672417876e-5) + ((1.0000656843185425) * (((exp((-4.092103025955282) * ((x1) * (x1)))) - ((-1.5547065734863281) + ((-1.6497515439987183) / (exp(exp((-1.00314195270495) * ((x0) * (x0)))))))) - (exp(exp((-1.6148645877838135) + (exp((0.56938636302948) + (((x1) * (x1)) * (-0.5596784672873918))))))))),saturated,196.966792,41,12,35,9,125,140,70,2,86,(-8.47672417876e-05 + (1.0000656843185425 * ((exp((-4.092103025955282 * (x1 * x1))) - (-1.5547065734863281 + (-1.6497515439987183 / exp(exp((-1.00314195270495 * (x0 * x0))))))) - exp(exp((-1.6148645877838135 + exp((0.56938636302948 + (-0.5596784672873918 * (x1 * x1)))))))))),saturated,167.888542,35,9,35,9,125,140,70,1,86,(-8.47672417876e-05 + (1.0000656843185425 * ((exp((-4.092103025955282 * (x1 * x1))) - (-1.5547065734863281 + (-1.6497515439987183 / exp(exp((-1.00314195270495 * (x0 * x0))))))) - exp(exp((-1.6148645877838135 + exp((0.56938636302948 + ((x1 * x1) * -0.5596784672873918))))))))) +pagie,133,Operon,Operon,14,1,kept,13.0,8.0,egglog-baseline,(0.0049303476698697 + (0.9968529939651489 * ((((exp((((-0.1228989660739899) * x1) * (28.5782623291015625 * x1))) - (0.0001418351894245 * x0)) - exp((((-0.9014899730682373) * x1) * (0.9040312170982361 * x1)))) - exp((((-0.1503573954105377) * x1) * (16.6330261230468750 * x1)))) + (((-1.0727374553680420) * exp((((-0.1865450739860535) * x0) * (4.1227397918701172 * x0)))) - (-1.9877362251281738))))),(0.9968529939651489) * ((((((exp((-3.5122388924378365) * ((x1) * (x1)))) + ((x0) * (-1.418351894245e-4))) - (exp(((x1) * (x1)) * (-0.8149750775547346)))) - (exp(((x1) * (x1)) * (-2.5008984856567618)))) + ((-1.072737455368042) * (exp((-0.7690767994996578) * ((x0) * (x0)))))) + (1.9926821376144859)),saturated,211.053375,47,13,37,8,113,124,57,2,86,(0.9968529939651489 * (1.9926821376144859 + ((((exp((-3.5122388924378365 * (x1 * x1))) + (-0.0001418351894245 * x0)) - exp((-0.8149750775547346 * (x1 * x1)))) - exp((-2.5008984856567618 * (x1 * x1)))) + (-1.072737455368042 * exp((-0.7690767994996578 * (x0 * x0))))))),saturated,166.957875,37,8,37,8,113,124,57,1,86,(0.9968529939651489 * (((((exp((-3.5122388924378365 * (x1 * x1))) + (x0 * -0.0001418351894245)) - exp(((x1 * x1) * -0.8149750775547346))) - exp(((x1 * x1) * -2.5008984856567618))) + (-1.072737455368042 * exp((-0.7690767994996578 * (x0 * x0))))) + 1.9926821376144859)) +pagie,134,Operon,Operon,15,1,kept,15.0,7.0,egglog-baseline,((-0.0000022516087483) + (1.0000016689300537 * (((((51.6682472229003906 * x0) * ((-0.0001894439337775) * x0)) + 2.5324115753173828) + ((-46.3591499328613281) / (((13.0968494415283203 * x0) * (2.1884925365447998 * x0)) + 34.0089225769042969))) + (((-1351.7908935546875000) / (((17.2840843200683594 * x1) * (47.4518127441406250 * x1)) + 990.7814331054687500)) + ((0.0012052881065756 * x1) * ((-8.2380609512329102) * x1)))))),(-9.788252341175882e-3) * (((x0) * (x0)) + ((((((x1) * (x1)) + ((165.99479114520634) / (((x1) * (x1)) + (1.2080326581103884)))) + ((162.89497489770397) / (((x0) * (x0)) + (1.186536134285651)))) * (1.0144051369822908)) + (-258.7196837451166))),timeout,180000.000000,na,na,na,na,na,na,na,na,na,timeout,saturated,228.906792,29,7,29,7,110,119,46,2,72,(-0.009788252341175882 * ((x0 * x0) + (1.0144051369822908 * ((((x1 * x1) + (165.99479114520634 / ((x1 * x1) + 1.2080326581103884))) + (162.89497489770397 / ((x0 * x0) + 1.186536134285651))) + -255.0457152797652)))) +pagie,135,Operon,Operon,16,1,kept,13.0,8.0,egglog-baseline,(0.0071523520164192 + (0.9955711960792542 * (((exp(((0.0195227134972811 * x1) * ((-151.1385955810546875) * x1))) * ((396057.1250000000000000 * x1) * ((-0.0000024948039936) * x1))) + ((85.4024658203125000 * x1) / ((43.1343650817871094 * x1) - (((-47.3760452270507812) * x1) * exp(((0.9379857182502747 * x0) * ((-1.2238332033157349) * x0))))))) - exp(((185448.0000000000000000 * x1) * ((-0.0000044009234443) * x1)))))),(7.1523520164192e-3) + ((0.9955711960792542) * (((x1) * (((exp((-2.9506354999103657) * ((x1) * (x1)))) * ((x1) * (-0.9880848971437344))) + ((1.9799170721159522) / ((x1) - ((exp((-1.147938066230644) * ((x0) * (x0)))) * ((x1) * (-1.0983364455978666))))))) - (exp(((x1) * (x1)) * (-0.8161424508985464))))),timeout,180000.000000,na,na,na,na,na,na,na,na,na,timeout,saturated,243.634292,38,8,38,8,139,151,65,2,88,(0.0071523520164192 + (0.9955711960792542 * ((x1 * ((exp((-2.9506354999103657 * (x1 * x1))) * (x1 * -0.9880848971437344)) + (1.9799170721159522 / (x1 + (1.0983364455978666 * (exp((-1.147938066230644 * (x0 * x0))) * x1)))))) - exp(((x1 * x1) * -0.8161424508985464))))) +pagie,136,Operon,Operon,17,1,kept,13.0,8.0,egglog-baseline,(0.0005329695995897 + (0.9996598958969116 * (((2.9738872051239014 + exp(((100.4859924316406250 * x1) * ((-0.0308157186955214) * x1)))) - ((((0.7702111005783081 * x0) * (1.5427883863449097 * x0)) + 1.0054689645767212) * exp((((-1.7126119136810303) * x0) * (0.8499408960342407 * x0))))) - exp(exp((((100.9902267456054688 * x1) * ((-0.0091333612799644) * x1)) + 0.0902468413114548)))))),(5.329695995897e-4) + ((0.9996598958969116) * ((((2.9738872051239014) + (exp((-3.09654807561373) * ((x1) * (x1))))) - ((((1.1882727410061449) * ((x0) * (x0))) + (1.0054689645767212)) * (exp((x0) * ((x0) * (-1.4556189044729706)))))) - (exp(exp((((x1) * (x1)) * (-0.9223802266131381)) + (9.02468413114548e-2)))))),saturated,242.059209,45,13,37,9,138,152,69,2,90,(0.0005329695995897 + (0.9996598958969116 * (((2.9738872051239014 + exp((-3.09654807561373 * (x1 * x1)))) + (-1.1882727410061449 * (exp((-1.4556189044729706 * (x0 * x0))) * ((x0 * x0) + 0.8461600858783999)))) - exp(exp(((-0.9223802266131381 * (x1 * x1)) + 0.0902468413114548)))))),saturated,180.377375,37,9,37,9,138,152,69,2,90,(0.0005329695995897 + (0.9996598958969116 * (((2.9738872051239014 + exp((-3.09654807561373 * (x1 * x1)))) + (-1.1882727410061449 * (exp((x0 * (x0 * -1.4556189044729706))) * ((x0 * x0) + 0.8461600858783999)))) - exp(exp((((x1 * x1) * -0.9223802266131381) + 0.0902468413114548)))))) +pagie,137,Operon,Operon,18,1,kept,14.0,7.0,egglog-baseline,(0.0000816054744064 + (1.0001157522201538 * (((((-0.0021946807391942) * x0) * (13.7494821548461914 * x0)) + (-8.4071483612060547)) + ((log((((6955.1982421875000000 * x1) * (16.8089103698730469 * x1)) + 27880.0878906250000000)) + log((((85251.5703125000000000 * x0) * (3.5084772109985352 * x0)) + 63949.3125000000000000))) * (((1.2129596471786499 * x1) * ((-0.0008703975472599) * x1)) + 0.3835373818874359))))),((7963.069109938157) + ((((24.277697647852335) + ((log(((x1) * (x1)) + (0.23847621165016322))) + (log(((x0) * (x0)) + (0.213803510917648))))) * (((x1) * (x1)) + (-363.2818393765012))) + (((x0) * (x0)) * (28.582070257300213)))) * (-1.0558793080580105e-3),timeout,180000.000000,na,na,na,na,na,na,na,na,na,timeout,saturated,187.567500,31,7,31,7,97,107,49,1,74,((7963.069109938157 + (((24.277697647852335 + (log(((x1 * x1) + 0.23847621165016322)) + log(((x0 * x0) + 0.213803510917648)))) * ((x1 * x1) + -363.2818393765012)) + ((x0 * x0) * 28.582070257300213))) * -0.0010558793080580105) +pagie,138,Operon,Operon,19,1,kept,12.0,9.0,egglog-baseline,((-0.0000098704376796) + (1.0000013113021851 * ((exp(exp(((-0.1284630000591278) - exp((((-1.7482314109802246) * x0) * (0.6576864719390869 * x0)))))) - exp((0.2162327617406845 + (((-0.0238646697252989) * x1) * (38.5694580078125000 * x1))))) - exp((((-0.9399499893188477) - exp(((1.4266452789306641 * x1) * ((-5.3529791831970215) * x1)))) * 0.8908159136772156))))),(-9.8704376796e-6) + ((1.000001311302185) * (((exp(exp((-0.1284630000591278) - (exp((-1.1497881488206758) * ((x0) * (x0))))))) - (exp((0.2162327617406845) + ((-0.9204473768402301) * ((x1) * (x1)))))) - (exp(((-0.9399499893188477) - (exp(((x1) * (x1)) * (-7.636802479922153)))) * (0.8908159136772156))))),saturated,185.163791,41,12,35,9,108,121,62,2,86,(-9.8704376796e-06 + (1.000001311302185 * ((exp(exp((-0.1284630000591278 - exp((-1.1497881488206758 * (x0 * x0)))))) - exp((0.2162327617406845 + (-0.9204473768402301 * (x1 * x1))))) - exp(((-0.9399499893188477 - exp((-7.636802479922153 * (x1 * x1)))) * 0.8908159136772156))))),saturated,152.978334,35,9,35,9,108,121,62,1,86,(-9.8704376796e-06 + (1.000001311302185 * ((exp(exp((-0.1284630000591278 - exp((-1.1497881488206758 * (x0 * x0)))))) - exp((0.2162327617406845 + (-0.9204473768402301 * (x1 * x1))))) - exp(((-0.9399499893188477 - exp(((x1 * x1) * -7.636802479922153))) * 0.8908159136772156))))) +pagie,139,Operon,Operon,20,1,kept,14.0,8.0,egglog-baseline,((-0.0000002506655221) + (1.0000001192092896 * (((((-0.0002352308656555) * x0) + 1.9712915420532227) - (exp((((-0.0005102988216095) * x1) * (2861.8625488281250000 * x1))) * (1.0045522451400757 + ((0.0003667365817819 * x1) * (3236.1384277343750000 * x1))))) + (exp((((-0.0249317195266485) * x0) * (58.4497108459472656 * x0))) * ((-1.0050251483917236) + (((-0.0338098518550396) * x0) * (35.2732009887695312 * x0))))))),(1.0000001192092896) * (((-2.3523086565550004e-4) * (x0)) + (((exp((-1.4604050862753524) * ((x1) * (x1)))) * ((((x1) * (x1)) + (0.8464303072824536)) * (-1.186810345160357))) + (((exp((-1.4572517972248622) * ((x0) * (x0)))) * ((-1.0050251483917236) + (((x0) * (x0)) * (-1.192581699883334)))) + (1.9712912913877296)))),timeout,180000.000000,na,na,na,na,na,na,na,na,na,timeout,saturated,248.462000,37,9,35,8,101,112,53,2,84,(-1.1925818420501513 * ((exp((-1.4572517972248622 * (x0 * x0))) * ((x0 * x0) + 0.842730647711634)) + (0.9951606210932622 * (((exp((-1.4604050862753524 * (x1 * x1))) * ((x1 * x1) + 0.8464303072824536)) + (0.00019820425952195132 * x0)) + -1.6609994169888842)))) +pagie,140,Operon,Operon,21,1,kept,13.0,8.0,egglog-baseline,(0.0056000440381467 + (0.9965137243270874 * ((0.7391300201416016 + (exp((((-26.2499160766601562) * x1) * (0.1143757924437523 * x1))) * (((-49.5787200927734375) * x1) * (0.0202242378145456 * x1)))) - (exp(((2.2524499893188477 * x1) * ((-0.3599792122840881) * x1))) + (exp((exp((((-0.7799134254455566) * x0) * (1.5038967132568359 * x0))) * (-1.7264224290847778))) * (-1.2398984432220459)))))),(5.6000440381467e-3) + ((0.9965137243270874) * (((0.7391300201416016) + ((exp((-3.002354952849999) * ((x1) * (x1)))) * (((x1) * (x1)) * (-1.0026918256970403)))) - ((exp(((x1) * (x1)) * (-0.8108351728643014))) + ((exp((exp((-1.172909237152453) * ((x0) * (x0)))) * (-1.7264224290847778))) * (-1.239898443222046))))),saturated,559.555916,45,13,37,9,159,173,72,2,90,(0.9965137243270874 * ((((0.7391300201416016 + (exp((-3.002354952849999 * (x1 * x1))) * (-1.0026918256970403 * (x1 * x1)))) - exp((-0.8108351728643014 * (x1 * x1)))) + (1.239898443222046 * exp((exp((-1.172909237152453 * (x0 * x0))) * -1.7264224290847778)))) + 0.005619635637159161)),saturated,198.546042,37,9,37,9,151,164,68,2,90,(0.9965137243270874 * ((((0.7391300201416016 + (exp((-3.002354952849999 * (x1 * x1))) * ((x1 * x1) * -1.0026918256970403))) - exp(((x1 * x1) * -0.8108351728643014))) + (1.239898443222046 * exp((exp((-1.172909237152453 * (x0 * x0))) * -1.7264224290847778)))) + 0.005619635637159161)) +pagie,141,Operon,Operon,22,1,kept,12.0,7.0,egglog-baseline,(0.0059260418638587 + (0.9963514208793640 * (((1.9877398014068604 + ((((-0.0255243461579084) * x1) * (39.2693595886230469 * x1)) * exp((((-0.0006980864563957) * x1) * (4245.9946289062500000 * x1))))) - exp((((-0.0209862142801285) * x1) * (38.7934265136718750 * x1)))) - exp((exp((-2.6416935920715332)) + ((0.0101619474589825 * x0) * ((-75.6802444458007812) * x0))))))),(5.9260418638587e-3) + ((0.996351420879364) * ((((1.9877398014068604) + (((-1.002324727539394) * ((x1) * (x1))) * (exp(((x1) * (x1)) * (-2.9640713443683393))))) - (exp(((x1) * (x1)) * (-0.8141271614763362)))) - (exp((7.124051495942774e-2) + ((-0.7690586677411797) * ((x0) * (x0))))))),saturated,225.314000,43,12,34,8,140,153,65,2,82,(0.0059260418638587 + (0.996351420879364 * (((1.9877398014068604 + ((-1.002324727539394 * (x1 * x1)) * exp((-2.9640713443683393 * (x1 * x1))))) - exp((-0.8141271614763362 * (x1 * x1)))) - exp((0.07124051495942774 + (-0.7690586677411797 * (x0 * x0))))))),saturated,157.258333,34,8,34,8,140,153,65,1,82,(0.0059260418638587 + (0.996351420879364 * (((1.9877398014068604 + ((-1.002324727539394 * (x1 * x1)) * exp(((x1 * x1) * -2.9640713443683393)))) - exp(((x1 * x1) * -0.8141271614763362))) - exp((0.07124051495942774 + (-0.7690586677411797 * (x0 * x0))))))) +pagie,142,Operon,Operon,23,1,kept,13.0,8.0,egglog-baseline,(0.0007810645620339 + (0.9995014071464539 * (((((-1.0057448148727417) + ((0.7655488848686218 * x0) * ((-1.5458080768585205) * x0))) * exp(((0.4586827158927917 * x0) * ((-3.1686115264892578) * x0)))) + (2.9749636650085449 + exp(((-0.3110347986221313) + ((3.0109248161315918 * x1) * ((-1.1550782918930054) * x1)))))) - exp(exp(((23.0867309570312500 * x1) * ((-0.0377156287431717) * x1))))))),(7.810645620339e-4) + ((0.9995014071464539) * (((((-1.0057448148727417) + ((-1.1833916494599492) * ((x0) * (x0)))) * (exp(((x0) * (x0)) * (-1.4533873405792972)))) + ((2.974963665008545) + (exp((-0.3110347986221313) + ((-3.4778538936355403) * ((x1) * (x1))))))) - (exp(exp(((x1) * (x1)) * (-0.8707305736688796)))))),saturated,214.490208,45,13,37,9,151,166,74,2,90,(0.0007810645620339 + (0.9995014071464539 * ((((-1.0057448148727417 + (-1.1833916494599492 * (x0 * x0))) * exp((-1.4533873405792972 * (x0 * x0)))) + (2.974963665008545 + exp((-0.3110347986221313 + (-3.4778538936355403 * (x1 * x1)))))) - exp(exp((-0.8707305736688796 * (x1 * x1))))))),saturated,162.351042,37,9,37,9,151,166,74,1,90,(0.0007810645620339 + (0.9995014071464539 * ((((-1.0057448148727417 + (-1.1833916494599492 * (x0 * x0))) * exp(((x0 * x0) * -1.4533873405792972))) + (2.974963665008545 + exp((-0.3110347986221313 + (-3.4778538936355403 * (x1 * x1)))))) - exp(exp(((x1 * x1) * -0.8707305736688796)))))) +pagie,143,Operon,Operon,24,1,kept,13.0,9.0,egglog-baseline,(0.0049892361275852 + (0.9968150258064270 * (exp(((-0.7375680804252625) / (exp((((-7.8003888130187988) * x1) * ((-0.0912654846906662) * x1))) - 0.9434194564819336))) - (exp(((((-11.2235412597656250) * x0) * (0.0819300860166550 * x0)) - (exp(((((-56.8530616760253906) * x0) * (0.1006406396627426 * x0)) - 1.4147840738296509)) - 0.2206120193004608))) - 0.9837305545806885)))),(0.996815025806427) * (((exp((-0.7375680804252625) / ((exp((0.7119062657958111) * ((x1) * (x1)))) + (-0.9434194564819336)))) - (exp(((-0.919545700824074) * ((x0) * (x0))) - ((exp((((x0) * (x0)) * (-5.721728493860552)) + (-1.4147840738296509))) + (-0.2206120193004608))))) + (0.9887357320694095)),saturated,196.242500,41,13,33,9,125,141,71,2,84,(0.996815025806427 * (0.9887357320694095 + (exp((-0.7375680804252625 / (exp((0.7119062657958111 * (x1 * x1))) + -0.9434194564819336))) - exp(((-0.919545700824074 * (x0 * x0)) - (exp(((-5.721728493860552 * (x0 * x0)) + -1.4147840738296509)) + -0.2206120193004608)))))),saturated,158.167416,33,9,33,9,125,141,71,1,84,(0.996815025806427 * ((exp((-0.7375680804252625 / (exp((0.7119062657958111 * (x1 * x1))) + -0.9434194564819336))) - exp(((-0.919545700824074 * (x0 * x0)) - (exp((((x0 * x0) * -5.721728493860552) + -1.4147840738296509)) + -0.2206120193004608)))) + 0.9887357320694095)) +pagie,144,Operon,Operon,25,1,kept,13.0,7.0,egglog-baseline,((-0.0000055456266637) + (1.0000027418136597 * ((((exp((((-4.2250251770019531) * x1) * (1.4258037805557251 * x1))) + exp((((-1.1716369390487671) * x0) * (5.2204809188842773 * x0)))) * 0.2746707499027252) - (-1.9792732000350952)) - ((exp((((-1.7990413904190063) * x1) * (0.5140095949172974 * x1))) + exp(((1.8088867664337158 * x0) * ((-0.5105684995651245) * x0)))) * 1.2522673606872559)))),(1.252270794171011) * (((((exp((-6.024056870312506) * ((x1) * (x1)))) + (exp((-6.11650828416407) * ((x0) * (x0))))) * (0.21933874388611657)) - ((exp(((x1) * (x1)) * (-0.9247245363287249))) + (exp(((x0) * (x0)) * (-0.9235606022212721))))) + (1.580547187093814)),saturated,344.872917,45,13,33,7,158,168,60,2,76,(0.2746715029987392 * ((-4.559158050614224 * ((exp((-0.9247245363287249 * (x1 * x1))) + exp((-0.9235606022212721 * (x0 * x0)))) + -1.580547187093814)) + (exp((-6.024056870312506 * (x1 * x1))) + exp((-6.11650828416407 * (x0 * x0)))))),saturated,157.409167,33,7,33,7,93,102,48,1,76,(1.252270794171011 * ((((exp((-6.024056870312506 * (x1 * x1))) + exp((-6.11650828416407 * (x0 * x0)))) * 0.21933874388611657) - (exp(((x1 * x1) * -0.9247245363287249)) + exp(((x0 * x0) * -0.9235606022212721)))) + 1.580547187093814)) +pagie,145,Operon,Operon,26,1,kept,12.0,8.0,egglog-baseline,((-0.0001599656243343) + (1.0001020431518555 * ((exp(((25.9337768554687500 * x1) * ((-0.1575351804494858) * x1))) - (exp(exp(exp(((17.7164573669433594 * x1) * ((-0.0314616635441780) * x1))))) * 0.1594999134540558)) - ((-1.1739871501922607) - (exp((exp((((-0.3572374880313873) * x0) * (3.2828271389007568 * x0))) * (-1.7236351966857910))) * 1.2407730817794800))))),(1.0001020431518555) * (((exp((exp((-1.1727489207421724) * ((x0) * (x0)))) * (-1.723635196685791))) * (1.24077308177948)) + (((exp((-4.085482216662968) * ((x1) * (x1)))) - ((exp(exp(exp(((x1) * (x1)) * (-0.5573892208735457))))) * (0.1594999134540558))) + (1.173827200889657))),saturated,325.932625,41,12,33,8,236,252,92,2,79,(1.0001020431518555 * (((1.1738272008896573 + (-0.1594999134540558 * exp(exp(exp((-0.5573892208735457 * (x1 * x1))))))) + exp((-4.085482216662968 * (x1 * x1)))) + (exp((exp((-1.1727489207421724 * (x0 * x0))) * -1.723635196685791)) * 1.24077308177948))),saturated,192.683875,33,8,33,8,208,222,80,2,79,(1.0001020431518555 * ((exp((exp((-1.1727489207421724 * (x0 * x0))) * -1.723635196685791)) * 1.24077308177948) + ((exp((-4.085482216662968 * (x1 * x1))) + (-0.1594999134540558 * exp(exp(exp(((x1 * x1) * -0.5573892208735457)))))) + 1.173827200889657))) +pagie,146,Operon,Operon,27,1,kept,13.0,6.0,egglog-baseline,((-0.0639297738671303) + (1.0392827987670898 * ((1.9780735969543457 + ((exp((((-2.4385366439819336) * x1) * (2.2576689720153809 * x1))) * ((((-10.0973072052001953) * x1) * (391.6708374023437500 * x1)) * (((-0.0011133030056953) * x1) * ((-1.3449389934539795) * x1)))) - exp((((-1.7093311548233032) * x1) * (0.4650919437408447 * x1))))) - exp((((-1.2320897579193115) * x0) * (0.5889392495155334 * x0)))))),(-6.39297738671303e-2) + ((1.0392827987670898) * (((1.9780735969543457) + (((exp((-5.505408518240529) * ((x1) * (x1)))) * ((-5.921650519847204) * (((x1) * (x1)) * ((x1) * (x1))))) - (exp(((x1) * (x1)) * (-0.7949961492935529))))) - (exp((-0.7256260173647746) * ((x0) * (x0)))))),saturated,8381.682167,48,13,36,7,191,201,61,2,81,(-0.0639297738671303 + (1.0392827987670898 * ((1.9780735969543457 + ((exp((-5.505408518240529 * (x1 * x1))) * (-5.921650519847204 * ((x1 * x1) * (x1 * x1)))) - exp((-0.7949961492935529 * (x1 * x1))))) - exp((-0.7256260173647746 * (x0 * x0)))))),saturated,165.170292,36,7,36,7,191,201,61,1,81,(-0.0639297738671303 + (1.0392827987670898 * ((1.9780735969543457 + ((exp((-5.505408518240529 * (x1 * x1))) * (-5.921650519847204 * ((x1 * x1) * (x1 * x1)))) - exp(((x1 * x1) * -0.7949961492935529)))) - exp((-0.7256260173647746 * (x0 * x0)))))) +pagie,147,Operon,Operon,28,1,kept,13.0,7.0,egglog-baseline,((-0.0000072608104347) + (1.0000052452087402 * (((-1.2524669170379639) * (exp((((-0.8438813686370850) * x0) * (1.0945762395858765 * x0))) + (exp((((-0.6344506740570068) * x1) * (1.4577195644378662 * x1))) + (-1.5802922248840332)))) + (0.2748360037803650 * (exp(((19.0184898376464844 * x0) * ((-0.3212499320507050) * x0))) + exp((((-0.8187244534492493) * x1) * (7.3472332954406738 * x1)))))))),(-1.252473486488384) * (((exp((-0.9248511602436906) * ((x1) * (x1)))) + ((exp((-0.9236924951393632) * ((x0) * (x0)))) + (((exp(((x0) * (x0)) * (-6.109688568050957))) + (exp(((x1) * (x1)) * (-6.015359564173792)))) * (-0.21943573921324933)))) + (-1.5802864277070767)),saturated,247.547000,45,13,33,7,158,168,60,2,76,(-1.252473486488384 * ((-1.5802864277070765 + exp((-0.9248511602436906 * (x1 * x1)))) + ((-0.2194357392132493 * (exp((-6.109688568050957 * (x0 * x0))) + exp((-6.015359564173792 * (x1 * x1))))) + exp((-0.9236924951393632 * (x0 * x0)))))),saturated,161.304292,33,7,33,7,158,168,60,1,76,(-1.252473486488384 * ((exp((-0.9248511602436906 * (x1 * x1))) + (exp((-0.9236924951393632 * (x0 * x0))) + ((exp(((x0 * x0) * -6.109688568050957)) + exp(((x1 * x1) * -6.015359564173792))) * -0.21943573921324933))) + -1.5802864277070767)) 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x1) * ((x1 * x1) + (x1 + x1)))))),saturated,165.820875,24,3,24,3,168,177,56,1,48,(0.007824 - ((x1 + -4.313) * (0.01274 * (exp(((x0 + x0) - (x0 * x0))) * ((x1 * x1) + (x1 + x1)))))) +kotanchek,106,GOMEA,GOMEA,17,1,kept,5.0,5.0,egglog-baseline,0.002551-0.007740*((exp(((x0+x0)-(x0*x0)))*(((0.548000+x1)*(x1-4.287000))*(x1-(-1.260000-x1))))),(2.551e-3) - ((7.74e-3) * ((exp(((x0) + (x0)) - ((x0) * (x0)))) * ((((0.548) + (x1)) * ((x1) - (4.287))) * ((x1) - ((-1.26) - (x1)))))),saturated,223.355917,26,5,26,5,428,441,91,2,59,(0.002551 - (0.00774 * (exp(((x0 + x0) - (x0 * x0))) * (((0.548 + x1) * (x1 - 4.287)) * ((x1 - -1.26) + x1))))),saturated,226.167084,26,5,26,5,428,441,91,2,59,(0.002551 - (0.00774 * (exp(((x0 + x0) - (x0 * x0))) * (((0.548 + x1) * (x1 - 4.287)) * ((x1 - -1.26) + x1))))) +kotanchek,107,GOMEA,GOMEA,18,1,kept,3.0,3.0,egglog-baseline,0.002206+0.022640*(((((x0*x0)-(x0*x0))-((-4.636000+x1)*(x1+x1)))*exp(((x0+x0)-(x0*x0))))),(2.206e-3) + ((-2.264e-2) * (((-4.636) + (x1)) * (((x1) + (x1)) * (exp(((x0) + (x0)) - ((x0) * (x0))))))),saturated,204.725458,28,3,20,3,99,105,36,2,42,(0.002206 + ((-0.02264 * ((-4.636 + x1) * (x1 + x1))) * exp(((x0 + x0) - (x0 * x0))))),saturated,163.293666,20,3,20,3,99,105,36,1,42,(0.002206 + (-0.02264 * ((-4.636 + x1) * ((x1 + x1) * exp(((x0 + x0) - (x0 * x0))))))) +kotanchek,108,GOMEA,GOMEA,19,1,kept,5.0,5.0,egglog-baseline,0.014415+0.001055*((exp(((x0+x0)-(x0*x0)))*(((x1*x1)*(-4.670000+x1))*((5.882000+x1)*(-4.779000+x1))))),(1.4415e-2) + ((1.055e-3) * ((exp(((x0) + (x0)) - ((x0) * (x0)))) * ((((x1) * (x1)) * ((x1) + (-4.67))) * (((x1) + (5.882)) * ((x1) + (-4.779)))))),saturated,466.772833,28,5,28,5,1404,1412,121,1,62,(0.014415 + (0.001055 * (exp(((x0 + x0) - (x0 * x0))) * (((x1 * x1) * (-4.67 + x1)) * ((5.882 + x1) * (-4.779 + x1)))))),saturated,465.059584,28,5,28,5,1404,1412,121,1,62,(0.014415 + (0.001055 * (exp(((x0 + x0) - (x0 * x0))) * (((x1 * x1) * (x1 + -4.67)) * ((x1 + 5.882) * (x1 + -4.779)))))) +kotanchek,109,GOMEA,GOMEA,20,1,kept,5.0,4.0,egglog-baseline,0.001729-0.008336*((exp(((x0+x0)-(x0*x0)))*(((x1-3.517000)-(18.874000*x1))+((2.182000*x1)+exp(x1))))),(1.729e-3) - ((8.336e-3) * ((exp(((x0) + (x0)) - ((x0) * (x0)))) * (((x1) * (-15.692)) + ((exp(x1)) + (-3.517))))),saturated,198.286041,27,5,23,4,157,169,63,2,50,(0.001729 - (0.008336 * (exp(((x0 + x0) - (x0 * x0))) * ((exp(x1) + (x1 - 3.517)) + (x1 * -16.692))))),saturated,173.958167,21,4,21,4,108,119,53,1,47,(0.001729 - (0.008336 * (exp(((x0 + x0) - (x0 * x0))) * ((x1 * -15.692) + (exp(x1) + -3.517))))) +kotanchek,110,GOMEA,GOMEA,21,1,kept,4.0,4.0,egglog-baseline,-0.000234-0.008008*((exp(((x0+x0)-(x0*x0)))*(((-15.725000+11.634000)+(x1+x1))+((x1*(-17.925000))+exp(x1))))),(-2.34e-4) - ((8.008e-3) * ((exp(((x0) + (x0)) - ((x0) * (x0)))) * ((exp(x1)) + ((-4.090999999999999) + ((x1) * (-15.925)))))),saturated,189.462334,27,5,25,4,226,237,68,2,53,(-0.000234 - (0.008008 * (exp(((x0 + x0) - (x0 * x0))) * ((-4.090999999999999 + (x1 + x1)) + ((x1 * -17.925) + exp(x1)))))),saturated,163.146750,21,4,21,4,108,119,53,1,47,(-0.000234 - (0.008008 * (exp(((x0 + x0) - (x0 * x0))) * (exp(x1) + (-4.090999999999999 + (x1 * -15.925)))))) +kotanchek,111,GOMEA,GOMEA,22,1,kept,4.0,4.0,egglog-baseline,0.005151-0.019625*((exp(((x0+x0)-(x0*x0)))*(((x1-4.022000)*(x1*x1))+((-1.303000-0.050000)-x1)))),(5.151e-3) - ((((x1) * ((x1) * ((x1) + (-4.022)))) + ((-1.353) - (x1))) * ((1.9625e-2) * (exp(((x0) + (x0)) - ((x0) * (x0)))))),saturated,183.785917,26,5,24,4,101,112,52,2,52,(0.005151 - (0.019625 * (exp(((x0 + x0) - (x0 * x0))) * (((x1 - 4.022) * (x1 * x1)) + (-1.353 - x1))))),saturated,166.117167,24,4,24,4,97,107,49,1,52,(0.005151 - (((x1 * (x1 * (x1 + -4.022))) + (-1.353 - x1)) * (0.019625 * exp(((x0 + x0) - (x0 * x0)))))) +kotanchek,112,GOMEA,GOMEA,23,1,kept,3.0,3.0,egglog-baseline,0.027028+0.108127*((((exp(x0)*exp(x0))*((x1*x1)*(x1+6.423000)))*exp(((x0-x1)-exp(x0))))),(2.7028e-2) + ((0.108127) * ((((exp(x0)) * (exp(x0))) * (((x1) * (x1)) * ((x1) + (6.423)))) * (exp(((x0) - (x1)) - (exp(x0)))))),saturated,301.188042,25,3,25,3,931,937,90,1,48,(0.027028 + (0.108127 * (((exp(x0) * exp(x0)) * ((x1 * x1) * (x1 + 6.423))) * exp(((x0 - x1) - exp(x0)))))),saturated,297.419833,25,3,25,3,931,937,90,1,48,(0.027028 + (0.108127 * (((exp(x0) * exp(x0)) * ((x1 * x1) * (x1 + 6.423))) * exp(((x0 - x1) - exp(x0)))))) +kotanchek,113,GOMEA,GOMEA,24,1,kept,5.0,4.0,egglog-baseline,0.014790+0.002199*((exp(((x0+x0)-(x0*x0)))*(((-8.382000+x1)-(0.249000-x1))*((x1*x1)*(-7.883000+x1))))),(1.479e-2) + ((2.199e-3) * ((exp(((x0) + (x0)) - ((x0) * (x0)))) * (((-8.631) + ((x1) + (x1))) * (((x1) * (x1)) * ((x1) + (-7.883)))))),saturated,268.155292,28,5,26,4,482,489,72,2,55,(0.01479 + (0.002199 * (exp(((x0 + x0) - (x0 * x0))) * (((-8.631 + x1) + x1) * ((x1 * x1) * (-7.883 + x1)))))),saturated,202.506833,26,4,26,4,482,489,72,1,55,(0.01479 + (0.002199 * (exp(((x0 + x0) - (x0 * x0))) * ((-8.631 + (x1 + x1)) * ((x1 * x1) * (x1 + -7.883)))))) +kotanchek,114,GOMEA,GOMEA,25,1,kept,4.0,3.0,egglog-baseline,0.010559+0.013455*(((((4.203000-x1)+exp(-3.785000))*((x1*x1)+(x1+x1)))*exp(((x0+x0)-(x0*x0))))),(1.0559e-2) + ((1.3455e-2) * (((((4.203) - (x1)) + (2.2708862776731332e-2)) * (((x1) * (x1)) + ((x1) + (x1)))) * (exp(((x0) + (x0)) - ((x0) * (x0)))))),saturated,184.710042,27,4,26,4,114,121,43,2,55,(0.010559 + (0.013455 * ((((4.203 - x1) + 0.022708862776731332) * ((x1 * x1) + (x1 + x1))) * exp(((x0 + x0) - (x0 * x0)))))),saturated,169.273833,26,4,26,4,114,121,43,1,55,(0.010559 + (0.013455 * ((((4.203 - x1) + 0.022708862776731332) * ((x1 * x1) + (x1 + x1))) * exp(((x0 + x0) - (x0 * x0)))))) +kotanchek,115,GOMEA,GOMEA,26,1,kept,5.0,4.0,egglog-baseline,-0.002850-0.007989*((exp(((x0+x0)-(x0*x0)))*((0.141000+exp(x1))-((5.595000-x1)+(x1*16.435000))))),(-2.85e-3) + (((7.989e-3) * (exp(((x0) + (x0)) - ((x0) * (x0))))) * ((5.454) + (((x1) * (15.434999999999999)) - (exp(x1))))),saturated,216.431083,25,5,23,4,160,172,64,2,50,(-0.00285 - (0.007989 * (exp(((x0 + x0) - (x0 * x0))) * (((-5.454 + exp(x1)) + x1) - (x1 * 16.435))))),saturated,162.937083,21,4,21,4,62,69,34,1,47,(-0.00285 + ((0.007989 * exp(((x0 + x0) - (x0 * x0)))) * (5.454 + ((x1 * 15.434999999999999) - exp(x1))))) +kotanchek,116,GOMEA,GOMEA,27,1,kept,4.0,3.0,egglog-baseline,0.013200-0.015123*(((((-5.053000*x1)*(5.158000-x1))*(exp(x0)*(x1*x1)))*exp(((x0-x1)-(x0*x0))))),(1.32e-2) - ((x1) * ((x1) * ((exp(((x0) - (x1)) - ((x0) * (x0)))) * ((exp(x0)) * ((x1) * (((5.158) - (x1)) * (-7.6416519e-2))))))),saturated,7206.540791,27,4,25,3,1299,1308,124,2,49,(0.0132 - (((((-0.076416519 * x1) * (5.158 - x1)) * exp(x0)) * (x1 * x1)) * exp(((x0 - x1) - (x0 * x0))))),saturated,391.157916,25,3,25,3,1299,1308,124,1,49,(0.0132 - (x1 * (x1 * (exp(((x0 - x1) - (x0 * x0))) * (exp(x0) * (x1 * ((5.158 - x1) * -0.076416519))))))) +kotanchek,117,GOMEA,GOMEA,28,1,kept,5.0,4.0,egglog-baseline,-0.002065-0.007572*((exp(((x0+x0)-(x0*x0)))*(((x1+2.326000)-(7.014000-x1))+(exp(x1)-(18.337000*x1))))),(-2.065e-3) - ((7.572e-3) * ((exp(((x0) + (x0)) - ((x0) * (x0)))) * (((-4.688000000000001) - ((x1) * (17.337))) + ((x1) + (exp(x1)))))),saturated,198.426084,27,5,25,4,233,245,72,2,53,(-0.002065 - (0.007572 * (exp(((x0 + x0) - (x0 * x0))) * (((-4.688000000000001 + x1) + x1) + (exp(x1) - (18.337 * x1)))))),saturated,166.312083,23,4,23,4,167,180,68,1,50,(-0.002065 - (0.007572 * (exp(((x0 + x0) - (x0 * x0))) * ((-4.688000000000001 - (x1 * 17.337)) + (x1 + exp(x1)))))) +kotanchek,118,GOMEA,GOMEA,29,1,kept,5.0,4.0,egglog-baseline,0.000258-0.008126*((exp(((x0+x0)-(x0*x0)))*(((1.637000-17.444000)*(-1.529000+x1))-((20.873000+7.266000)-exp(x1))))),(2.58e-4) - ((8.126e-3) * ((exp(((x0) + (x0)) - ((x0) * (x0)))) * ((exp(x1)) + ((-15.806999999999999) * ((x1) + (0.25116068830265115)))))),saturated,228.915125,27,7,21,4,90,100,47,2,47,(0.000258 - (0.008126 * (exp(((x0 + x0) - (x0 * x0))) * ((-15.806999999999999 * (0.25116068830265115 + x1)) + exp(x1))))),saturated,166.159625,21,4,21,4,90,100,47,1,47,(0.000258 - (0.008126 * (exp(((x0 + x0) - (x0 * x0))) * (exp(x1) + (-15.806999999999999 * (x1 + 0.25116068830265115)))))) +kotanchek,119,GOMEA,GOMEA,30,1,kept,6.0,5.0,egglog-baseline,0.004369-0.000167*((exp(((x0+x0)-(x0*x0)))*(((x1*(-8.637000))*(4.502000-x1))*((11.197000-x1)*(1.581000+x1))))),(4.369e-3) - (((11.197) - (x1)) * ((exp(((x0) + (x0)) - ((x0) * (x0)))) * (((x1) + (1.581)) * (((x1) * ((4.502) - (x1))) * (-1.442379e-3))))),saturated,5241.083125,28,6,26,5,1172,1183,130,2,59,(0.004369 - (((-0.001442379 * x1) * (((11.197 - x1) * (1.581 + x1)) * (4.502 - x1))) * exp(((x0 + x0) - (x0 * x0))))),saturated,384.559500,26,5,26,5,1172,1183,130,1,59,(0.004369 - ((11.197 - x1) * (exp(((x0 + x0) - (x0 * x0))) * ((x1 + 1.581) * ((x1 * (4.502 - x1)) * -0.001442379))))) +kotanchek,120,Operon,Operon,1,1,kept,14.0,8.0,egglog-baseline,((-0.0000644577157800) + (1.0001556873321533 * ((((-0.0006379182450473) - (0.0003036445996258 * x1)) + (((1.0098193883895874 * x1) * ((-2.1118876934051514) * x1)) * (0.0005665634525940 * x1))) * (exp((1.9995476007461548 * x0)) * ((((2.9050014019012451 * x1) * ((-1.6316955089569092) * x1)) + ((-83.5919265747070312) - ((-39.5477447509765625) * x1))) / exp(((0.0681112110614777 * x0) * (14.6775512695312500 * x0)))))))),(-6.445771578e-5) + ((((x1) * (((x1) * (x1)) + (0.2513057822290573))) + (0.5279611222045847)) * (((exp((1.9995476007461548) * (x0))) * (((17.63513831255143) + ((x1) * ((x1) + (-8.343269227198043)))) / (exp((0.999705792384703) * ((x0) * (x0)))))) * (5.728173365985096e-3))),timeout,180000.000000,na,na,na,na,na,na,na,na,na,timeout,saturated,207.523792,33,8,33,8,268,279,73,2,81,(-6.445771578e-05 + (((x1 * ((x1 * x1) + 0.2513057822290573)) + 0.5279611222045847) * (((17.63513831255143 + (x1 * (x1 + -8.343269227198043))) * (exp((1.9995476007461548 * x0)) / exp((0.999705792384703 * (x0 * x0))))) * 0.005728173365985096))) +kotanchek,121,Operon,Operon,2,1,kept,13.0,10.0,egglog-baseline,(0.0019190539605916 + (0.9954085946083069 * ((exp((3.0602750778198242 * x0)) / exp(((exp(((0.4211926460266113 * x0) + 1.6726008653640747)) - ((1.3422309160232544 * x1) - exp(((-1.2979059219360352) * x0)))) + ((0.0003775433578994 * x1) * (1131.5198974609375000 * x1))))) * ((((-0.0027062874287367) * x1) * ((-6793.8808593750000000) * x1)) + (((-24.5153598785400391) * x1) - (-29.1849021911621094)))))),(1.9190539605916e-3) + (((((x1) * ((x1) + (-1.3333569413975992))) + (1.5873269702501887)) * ((exp((3.060275077819824) * (x0))) * (18.301775890134763))) / (exp(((exp(((x0) * (0.4211926460266113)) + (1.6726008653640747))) + (exp((x0) * (-1.2979059219360352)))) + ((x1) * (((x1) * (0.4271978216173871)) + (-1.3422309160232544)))))),saturated,1507.013041,47,13,37,10,177,192,78,2,94,(0.0019190539605916 + ((18.301775890134767 * ((x1 * (x1 + -1.3333569413975992)) + 1.5873269702501889)) * (exp((3.060275077819824 * x0)) / exp((((x1 * ((0.4271978216173871 * x1) + -1.3422309160232544)) + exp(((0.4211926460266113 * x0) + 1.6726008653640747))) + exp((-1.2979059219360352 * x0))))))),saturated,167.868375,37,10,37,10,177,192,78,1,94,(0.0019190539605916 + ((((x1 * (x1 + -1.3333569413975992)) + 1.5873269702501887) * (exp((3.060275077819824 * x0)) * 18.301775890134763)) / exp(((exp(((x0 * 0.4211926460266113) + 1.6726008653640747)) + exp((x0 * -1.2979059219360352))) + (x1 * ((x1 * 0.4271978216173871) + -1.3422309160232544)))))) +kotanchek,122,Operon,Operon,3,1,kept,11.0,10.0,egglog-baseline,((-0.0000014371197494) + (1.0000287294387817 * ((((((0.0082893725484610 * x1) - (-0.0444908216595650)) / exp(log((exp((0.3769945502281189 * x1)) + ((-0.9402246475219727) * x1))))) - (exp((0.0002179348812206 * x1)) + (-1.0048899650573730))) / exp(((0.3332124650478363 * x0) * (3.0010888576507568 * x0)))) / exp(((-2.0000004768371582) * x0))))),(-1.4371197494e-6) + ((1.0000287294387817) * (((((((8.289372548461e-3) * (x1)) - (-4.4490821659565e-2)) / ((exp((x1) * (0.3769945502281189))) + ((x1) * (-0.9402246475219727)))) - ((exp((x1) * (2.179348812206e-4))) + (-1.004889965057373))) / (exp((1.0000002160854038) * ((x0) * (x0))))) / (exp((x0) * (-2.000000476837158))))),saturated,205.975458,41,11,37,10,187,205,91,2,94,(-1.4371197494e-06 + (((((0.008289372548461 * x1) + 0.044490821659565) / (exp((0.3769945502281189 * x1)) + (-0.9402246475219727 * x1))) - (exp((0.0002179348812206 * x1)) + -1.004889965057373)) * ((1.0000287294387817 / exp((1.0000002160854038 * (x0 * x0)))) / exp((-2.000000476837158 * x0))))),saturated,204.774917,37,10,37,10,187,205,91,2,94,(-1.4371197494e-06 + (((((0.008289372548461 * x1) + 0.044490821659565) / (exp((x1 * 0.3769945502281189)) + (x1 * -0.9402246475219727))) - (exp((x1 * 0.0002179348812206)) + -1.004889965057373)) * ((1.0000287294387817 / exp((1.0000002160854038 * (x0 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x0)) + (2.6822447776794434 * x0)) / (-7.449989547754554 - ((x1 + -4.999997726333168) * x1))) / (exp(exp((0.5965437889099121 * x0))) + (-1.426652431488037 * x0))))),saturated,215.342500,39,10,39,10,292,305,99,2,97,(1.82324292837e-05 + ((exp((-1.0928704738616943 * x0)) + (x0 * 2.6822447776794434)) * (((-1.0000207089543989 / (-7.449989547754554 - (x1 * (x1 + -4.999997726333168)))) / (exp(exp((x0 * 0.5965437889099121))) + (x0 * -1.426652431488037))) / (exp((x0 * 0.4577265381813049)) + (x0 * -0.9410613179206848))))) +kotanchek,124,Operon,Operon,5,1,kept,13.0,10.0,egglog-baseline,(0.0000468041762360 + (0.9997506737709045 * (exp(((-0.0447766110301018) * x0)) - (0.8708053827285767 + ((((4.6947760581970215 * x1) - exp((0.6812457442283630 * x1))) * ((-2.2019169330596924) * x1)) * (((exp(((-5.3575110435485840) * x0)) + (15.1773414611816406 * x0)) * exp(((-2.3313734531402588) * x0))) * ((((-0.0015166908269748) * x1) * (4.4051661491394043 * x0)) - ((-0.0298569388687611) * 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exp((0.1865983307361603 * x1)))) / exp(((-0.6834985017776489) * x1))))) * (((0.0036516967229545 * x1) - exp((1.9130901098251343 * x0))) / (exp(exp((0.7873576283454895 * x0))) + ((-2.2153601646423340) * x0)))))),(1.501522376202e-3) + ((((((x1) + ((exp((x1) * (0.1865983307361603))) * (-2.062316550365507))) / (exp((x1) * (-0.6834985017776489)))) + ((x1) * (0.8213703784114321))) + (2.0125964221487602)) * (((((x1) * (3.6516967229545e-3)) - (exp((1.9130901098251343) * (x0)))) / ((exp(exp((x0) * (0.7873576283454895)))) + ((x0) * (-2.215360164642334)))) * (2.7264668975190745))),saturated,388.745541,45,12,42,11,153,167,73,2,105,(0.001501522376202 + ((-5.622837806777284 * (((exp((0.1865983307361603 * x1)) + (-0.48489161366753747 * x1)) / exp((-0.6834985017776489 * x1))) + (-0.3982756082066352 * (x1 + 2.4502909710978544)))) * (((0.0036516967229545 * x1) - exp((1.9130901098251343 * x0))) / (exp(exp((0.7873576283454895 * x0))) + (-2.215360164642334 * 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+ ((-386.7166748046875) * (x0))) + (exp((x0) * (1.7618920803070068)))) - ((((x0) * (1074.80419921875)) + (882.804443359375)) * (exp((x0) * (-1.9537824392318726))))) / ((2638.891845703125) + ((exp((x0) * (2.816107749938965))) + ((x1) * ((358.9328602152236) * ((x1) + (-5.000890717313407)))))))),saturated,378.304375,44,13,40,12,287,308,113,2,107,(-0.0019379730802029 + (1.0046592950820923 * ((((996.6720581054688 + (-386.7166748046875 * x0)) + exp((1.7618920803070068 * x0))) + (-1074.80419921875 * (exp((-1.9537824392318726 * x0)) * (x0 + 0.8213630389619475)))) / (((x1 * ((358.9328602152236 * x1) + -1794.9840087890625)) + exp((2.816107749938965 * x0))) + 2638.891845703125)))),saturated,209.184791,40,12,40,12,282,302,110,2,107,(-0.0019379730802029 + (1.0046592950820923 * ((((996.6720581054688 + (-386.7166748046875 * x0)) + exp((x0 * 1.7618920803070068))) + (-1074.80419921875 * (exp((x0 * -1.9537824392318726)) * (x0 + 0.8213630389619475)))) / (2638.891845703125 + (exp((x0 * 2.816107749938965)) 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* (2.949860095977783)))) + ((((x1) + (-5.010043816381869)) * ((x0) + ((x1) * (99.7822515308657)))) * (-46.20291959645079))))),saturated,264.814416,45,14,41,12,142,158,76,2,109,(-0.0007296766270883 + ((-416.69014438524755 / ((-34525.6953125 - exp((2.949860095977783 * x0))) + (-46.20291959645078 * ((x1 + -5.010043816381869) * (x0 + (99.7822515308657 * x1)))))) * ((((x0 + -12.173483658971914) / ((1.3030259609222412 * x0) - exp((0.6703483462333679 * x0)))) + (1.9129296796348707 * x0)) + -7.9944772470939185))),saturated,185.129208,41,12,41,12,150,166,78,2,109,(-0.0007296766270883 + (((x0 + -4.179179889466643) + (((x0 + -12.173483658971914) / ((x0 * 1.3030259609222412) - exp((x0 * 0.6703483462333679)))) * 0.522758369346266)) * (-797.0989444058796 / ((-34525.6953125 - exp((x0 * 2.949860095977783))) + (((x1 + -5.010043816381869) * (x0 + (x1 * 99.7822515308657))) * -46.20291959645079))))) +kotanchek,132,Operon,Operon,13,1,kept,12.0,10.0,egglog-baseline,(0.0036648171953857 + (0.9917431473731995 * (((0.7433260083198547 * x1) / ((exp(exp((0.5352578163146973 * x0))) * (exp((2.5961806774139404 * x1)) - (1.9263886213302612 - (297.5476074218750000 * x1)))) * exp(((-1.0667701959609985) * x1)))) / exp(((exp(((-0.1313982456922531) * x0)) * ((-6.9308919906616211) * x0)) - (((-4.3688435554504395) * x0) + 3.7469267845153809)))))),(3.6648171953857e-3) + (((x1) * ((0.7371884750154898) / (((exp(exp((0.5352578163146973) * (x0)))) * ((exp((x1) * (2.5961806774139404))) - ((1.9263886213302612) - ((x1) * (297.547607421875))))) * (exp((x1) * (-1.0667701959609985)))))) / (exp(((x0) * (((exp((x0) * (-0.1313982456922531))) * (-6.930891990661621)) + (4.3688435554504395))) + (-3.746926784515381)))),saturated,265.023750,45,12,41,11,227,247,104,2,103,(0.0036648171953857 + (((0.7371884750154898 * x1) / ((exp(exp((0.5352578163146973 * x0))) * ((exp((2.5961806774139404 * x1)) + -1.9263886213302612) + (297.547607421875 * x1))) * exp((-1.0667701959609985 * x1)))) / exp(((x0 * (4.3688435554504395 + (exp((-0.1313982456922531 * x0)) * -6.930891990661621))) + -3.746926784515381)))),saturated,200.223084,41,11,41,11,227,247,104,2,103,(0.0036648171953857 + (((x1 * 0.7371884750154898) / ((exp(exp((0.5352578163146973 * x0))) * ((exp((x1 * 2.5961806774139404)) + -1.9263886213302612) + (297.547607421875 * x1))) * exp((x1 * -1.0667701959609985)))) / exp(((x0 * ((exp((x0 * -0.1313982456922531)) * -6.930891990661621) + 4.3688435554504395)) + -3.746926784515381)))) +kotanchek,133,Operon,Operon,14,1,kept,14.0,11.0,egglog-baseline,((-0.0022257824894041) + (1.0057435035705566 * (((exp(((((-0.7701046466827393) * x1) - (-3.8445262908935547)) * (1.3931946754455566 * x1))) + (((15.1122426986694336 * x1) - (-13.2947568893432617)) * (((-2.5437910556793213) * x1) - (-15.1461124420166016)))) / (exp((2.8625166416168213 * x0)) + (((-3.6063053607940674) * x0) + 62.3201675415039062))) * ((0.0344910286366940 * x0) + 0.0158514883369207)))),(-2.2257824894041e-3) + (((exp((-1.072905693294274) * ((x1) * ((x1) - (4.992212821275688))))) + ((-38.442387808130434) * (((x1) - (-0.87973420983464)) * ((x1) - (5.954149578520246))))) * ((3.4689127982821026e-2) * (((x0) + (0.4595829397809482)) / ((exp((x0) * (2.8625166416168213))) + (((x0) * (-3.6063053607940674)) + (62.320167541503906)))))),saturated,217.416625,43,14,37,11,184,199,79,2,99,(-0.0022257824894041 + ((exp(((-1.072905693294274 * x1) * (x1 + -4.992212821275688))) + (-38.442387808130434 * ((x1 + 0.87973420983464) * (x1 + -5.954149578520246)))) * (0.034689127982821026 * ((x0 + 0.4595829397809482) / (exp((2.8625166416168213 * x0)) + ((-3.6063053607940674 * x0) + 62.320167541503906)))))),saturated,191.303583,37,11,37,11,184,199,79,2,99,(-0.0022257824894041 + ((exp((-1.072905693294274 * (x1 * (x1 + -4.992212821275688)))) + (-38.442387808130434 * ((x1 + 0.87973420983464) * (x1 + -5.954149578520246)))) * (0.034689127982821026 * ((x0 + 0.4595829397809482) / (exp((x0 * 2.8625166416168213)) + ((x0 * -3.6063053607940674) + 62.320167541503906)))))) 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(x0 + 0.5782157005654891)) + (-0.21941380240422573 + (-4.06125147334379 * x0)))) * ((exp((0.1231540888547897 * x1)) / (exp((2.4178924560546875 * x0)) + 42.579288482666016)) / (exp((0.376332700252533 * x1)) + (-0.9377985596656799 * x1))))),saturated,208.625959,43,12,43,12,311,327,100,2,111,(0.0003700088418555 + (((x0 + 0.05402615519978467) + ((((x0 * 1.0232990980148315) - exp((x0 * -4.979659080505371))) * (x0 + 0.5782157005654891)) * -0.24622951978313723)) * (((exp((0.1231540888547897 * x1)) / (exp((x0 * 2.4178924560546875)) + 42.579288482666016)) / (exp((x1 * 0.376332700252533)) + (-0.9377985596656799 * x1))) * 10.84005657269455))) +kotanchek,135,Operon,Operon,16,1,kept,12.0,11.0,egglog-baseline,((-0.0158226937055588) + (1.0497971773147583 * (((exp(((-0.3585180342197418) * x1)) - ((((exp((1.7362647056579590 * x1)) - (-7144.3906250000000000)) + ((-3211.7934570312500000) * x1)) / (exp((3.3592488765716553 * x1)) - (-8749.7304687500000000))) - (-252.0166625976562500))) - (-251.8914642333984375)) / (exp((0.7833101749420166 * x0)) + log(exp(((-1.7847769260406494) * x0))))))),(-1.58226937055588e-2) + ((1.0497971773147583) * ((((exp((-0.3585180342197418) * (x1))) - ((((exp((x1) * (1.736264705657959))) - (-7144.390625)) + ((x1) * (-3211.79345703125))) / ((exp((x1) * (3.3592488765716553))) - (-8749.73046875)))) + (-0.1251983642578125)) / ((exp((0.7833101749420166) * (x0))) + ((x0) * (-1.7847769260406494))))),saturated,185.545709,41,12,37,11,125,140,70,2,98,(-0.0158226937055588 + ((-0.1251983642578125 + (exp((-0.3585180342197418 * x1)) - (((exp((1.736264705657959 * x1)) + 7144.390625) + (-3211.79345703125 * x1)) / (exp((3.3592488765716553 * x1)) + 8749.73046875)))) * (1.0497971773147583 / (exp((0.7833101749420166 * x0)) + (-1.7847769260406494 * x0))))),saturated,182.994708,37,11,37,11,125,140,70,2,98,(-0.0158226937055588 + (((exp((-0.3585180342197418 * x1)) - (((exp((x1 * 1.736264705657959)) + 7144.390625) + (x1 * -3211.79345703125)) / (exp((x1 * 3.3592488765716553)) + 8749.73046875))) + -0.1251983642578125) * (1.0497971773147583 / (exp((0.7833101749420166 * x0)) + (x0 * -1.7847769260406494))))) +kotanchek,136,Operon,Operon,17,1,kept,11.0,8.0,egglog-baseline,((-0.0000000143612136) + (1.0000000000000000 * (((0.0493797957897186 - (0.0001029339036904 * x0)) / (exp(((-0.0000001355219865) * x0)) + (((-0.0032123271375895) * x1) * (((-41.7853355407714844) * x1) + 208.9266815185546875)))) / exp((((-1.8152447938919067) * x0) * (1.1029279232025146 - (0.5508886575698853 * x0))))))),(-1.43612136e-8) + ((((4.93797957897186e-2) - ((1.029339036904e-4) * (x0))) / ((exp((x0) * (-1.355219865e-7))) + ((0.13422816731090328) * ((x1) * ((x1) + (-5.000000091292728)))))) / (exp((-0.9999977676678355) * ((x0) * ((2.0020886399582447) - (x0)))))),saturated,243.473583,35,11,29,8,149,161,66,2,75,(-1.43612136e-08 + (((0.0493797957897186 + (-0.0001029339036904 * x0)) / (exp((-1.355219865e-07 * x0)) + ((0.13422816731090328 * x1) * (x1 + -5.000000091292728)))) / exp(((-0.9999977676678355 * x0) * (2.0020886399582447 - x0))))),saturated,174.843583,29,8,29,8,215,231,90,1,75,(-1.43612136e-08 + (((0.0493797957897186 - (0.0001029339036904 * x0)) / (exp((x0 * -1.355219865e-07)) + (0.13422816731090328 * (x1 * (x1 + -5.000000091292728))))) / exp((-0.9999977676678355 * (x0 * (2.0020886399582447 - x0)))))) +kotanchek,137,Operon,Operon,18,1,kept,13.0,11.0,egglog-baseline,((-0.0000026597272154) + (1.0000067949295044 * ((exp(((1.3812974691390991 * x0) * (((-0.7240105271339417) * x0) + 1.4479488134384155))) * (((-0.0016091535799205) * x1) - (-0.0074326260946691))) * (exp((1.1061540842056274 * x1)) - ((((-4.3172826766967773) * x1) + (-5.3209042549133301)) - exp((((3.6427340507507324 * x1) - 0.0311711747199297) - exp((0.6457238197326660 * x1))))))))),(-2.6597272154e-6) + ((exp((-1.0000739087601787) * ((x0) * ((x0) + (-1.9999002212996078))))) * (((exp((x1) * (1.1061540842056274))) - ((((x1) * (-4.317282676696777)) + (-5.32090425491333)) - (exp((((x1) * (3.6427340507507324)) - (3.11711747199297e-2)) - (exp((x1) * (0.645723819732666))))))) * (((x1) - (4.618966261154704)) * (-1.6091645140056373e-3)))),saturated,226.124167,43,13,39,11,234,250,89,2,101,(-2.6597272154e-06 + (((-0.0016091645140056373 * (x1 + -4.618966261154704)) * exp(((-1.0000739087601787 * x0) * (x0 + -1.9999002212996078)))) * (((exp((1.1061540842056274 * x1)) + (4.317282676696777 * x1)) + 5.32090425491333) + exp((((3.6427340507507324 * x1) + -0.0311711747199297) - exp((0.645723819732666 * x1))))))),saturated,191.927208,39,11,39,11,234,250,89,2,101,(-2.6597272154e-06 + (exp((-1.0000739087601787 * (x0 * (x0 + -1.9999002212996078)))) * ((((exp((x1 * 1.1061540842056274)) + (4.317282676696777 * x1)) + 5.32090425491333) + exp((((x1 * 3.6427340507507324) + -0.0311711747199297) - exp((x1 * 0.645723819732666))))) * ((x1 + -4.618966261154704) * -0.0016091645140056373)))) +kotanchek,138,Operon,Operon,19,1,kept,12.0,12.0,egglog-baseline,(0.0034536698367447 + (0.9867714047431946 * ((((((-0.6941707730293274) * x1) + exp((0.2583339512348175 * x1))) * (((-0.6002479791641235) * x1) + exp((0.2208170741796494 * x1)))) * (exp(((-0.8911798000335693) * x0)) - (0.7564386129379272 + ((-1.2858601808547974) * x0)))) / exp(((((-2.1546506881713867) * x1) + exp((0.6885151863098145 * x0))) + exp(((-1.0648982524871826) * x0))))))),(3.4536698367447e-3) + ((0.9867714047431946) * ((((((-0.6941707730293274) * (x1)) + (exp((x1) * (0.2583339512348175)))) * (((x1) * (-0.6002479791641235)) + (exp((x1) * (0.2208170741796494))))) * ((exp((-0.8911798000335693) * (x0))) - ((0.7564386129379272) + ((x0) * (-1.2858601808547974))))) / (exp((((x1) * (-2.1546506881713867)) + (exp((x0) * (0.6885151863098145)))) + (exp((x0) * (-1.0648982524871826))))))),saturated,201.123292,47,12,47,12,328,344,101,2,116,(0.0034536698367447 + (0.9867714047431946 * (((((-0.6941707730293274 * x1) + exp((0.2583339512348175 * x1))) * ((-0.6002479791641235 * x1) + exp((0.2208170741796494 * x1)))) * ((exp((-0.8911798000335693 * x0)) + -0.7564386129379272) + (1.2858601808547974 * x0))) / exp((((-2.1546506881713867 * x1) + exp((0.6885151863098145 * x0))) + exp((-1.0648982524871826 * x0))))))),saturated,201.740916,47,12,47,12,328,344,101,2,116,(0.0034536698367447 + (0.9867714047431946 * (((((-0.6941707730293274 * x1) + exp((x1 * 0.2583339512348175))) * ((x1 * -0.6002479791641235) + exp((x1 * 0.2208170741796494)))) * ((exp((-0.8911798000335693 * x0)) + -0.7564386129379272) + (1.2858601808547974 * x0))) / exp((((x1 * -2.1546506881713867) + exp((x0 * 0.6885151863098145))) + exp((x0 * -1.0648982524871826))))))) +kotanchek,139,Operon,Operon,20,1,kept,13.0,10.0,egglog-baseline,(0.0004888178664260 + (0.9988220334053040 * (exp((((((-5.1766362190246582) - (0.0070227989926934 * x0)) + (1.1790944337844849 * x1)) * ((-0.3277454376220703) * x1)) + (exp(((6.3319468498229980 * x1) * ((-0.0836486071348190) * x1))) * ((-1.0949771404266357) * x1)))) / (6.3024258613586426 / (0.0139735620468855 + exp(((2.2476174831390381 * x0) - exp((0.8711588978767395 * x0))))))))),(4.88817866426e-4) + ((0.998822033405304) * ((exp((x1) * (((((-737.1186651377163) - (x0)) + ((x1) * (167.89522738885566))) * (-2.301690329192133e-3)) + ((exp((-0.5296585344393987) * ((x1) * (x1)))) * (-1.0949771404266357))))) / ((6.302425861358643) / ((1.39735620468855e-2) + (exp(((x0) * (2.247617483139038)) - (exp((x0) * (0.8711588978767395))))))))),timeout,180000.000000,na,na,na,na,na,na,na,na,na,timeout,saturated,194.945917,39,11,39,11,187,205,92,2,101,(0.000488817866426 + (exp((x1 * ((((-737.1186651377163 - x0) + (x1 * 167.89522738885566)) * -0.002301690329192133) + (exp((-0.5296585344393987 * (x1 * x1))) * -1.0949771404266357)))) * (0.998822033405304 / (6.302425861358643 / (0.0139735620468855 + exp(((x0 * 2.247617483139038) - exp((x0 * 0.8711588978767395))))))))) +kotanchek,140,Operon,Operon,21,1,kept,14.0,8.0,egglog-baseline,(0.0000354178737325 + (0.9998701810836792 * (((21.8554801940917969 * x1) - ((21.8578433990478516 * x1) - 0.0542484000325203)) * exp(((((-1.2365419864654541) - ((-0.6182689070701599) * x0)) * ((-1.6172654628753662) * x0)) - (exp(((((-0.0128339584916830) * x1) - (0.0000608815898886 * x1)) - ((((-1.6681232452392578) * x1) - (-6.2428498268127441)) * ((-0.1763334870338440) * x1)))) * ((-0.3036648035049438) * x1))))))),(3.54178737325e-5) + ((exp(((-0.999904950174269) * ((x0) * ((x0) + (-2.0000067483987736)))) - ((exp((x1) * ((-0.29414598863525043) * ((x1) + (-3.6986009700714013))))) * ((x1) * (-0.3036648035049438))))) * (((x1) + (-22.955435961460857)) * (-2.3628981673482485e-3))),timeout,180000.000000,na,na,na,na,na,na,na,na,na,timeout,saturated,225.724542,29,8,29,8,162,175,70,2,75,(3.54178737325e-05 + (exp(((-0.999904950174269 * (x0 * (x0 + -2.0000067483987736))) + (0.3036648035049438 * (exp((x1 * (-0.29414598863525043 * (x1 + -3.6986009700714013)))) * x1)))) * ((x1 + -22.955435961460857) * -0.0023628981673482485))) 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-2.4340145587921143)))) * (exp(((-0.004497913058093474 * x1) * (x1 + -5.033645223946721))) + -0.9611204862594604)))),saturated,153.588458,35,10,35,10,136,149,66,1,91,(5.4139832173e-06 + (0.9996626973152161 * (exp(((-0.9999709140625515 * (x0 * (x0 + -1.999968573485206))) + exp((exp((-0.16756994558621316 * (x1 * (x1 + -4.99490557018085)))) + -2.4340145587921143)))) * (exp((-0.004497913058093474 * (x1 * (x1 + -5.033645223946721)))) + -0.9611204862594604)))) +kotanchek,142,Operon,Operon,23,1,kept,11.0,10.0,egglog-baseline,(0.0008338154293597 + (0.9979702830314636 * ((exp(exp(exp(((0.0654336437582970 + ((-0.0385530032217503) * x1)) * ((-17.4296455383300781) + (5.2765936851501465 * x1)))))) * (exp(((-0.6076733469963074) * x0)) + ((-0.9865196943283081) + (0.7046096920967102 * x0)))) * exp((exp(((-4.4563603401184082) * x0)) - exp((0.6908147931098938 * x0))))))),(8.338154293597e-4) + ((0.9979702830314636) * ((exp(exp(exp((-0.2034285333434609) * (((x1) + (-1.697238562244654)) * ((x1) + (-3.3032002421149307))))))) * (((exp((-0.6076733469963074) * (x0))) + ((-0.9865196943283081) + ((x0) * (0.7046096920967102)))) * (exp((exp((x0) * (-4.456360340118408))) - (exp((x0) * (0.6908147931098938)))))))),saturated,184.257292,40,11,38,10,181,195,77,2,94,(0.0008338154293597 + (0.9979702830314636 * ((exp(exp(exp((-0.2034285333434609 * ((x1 + -1.697238562244654) * (x1 + -3.3032002421149307)))))) * (exp((-0.6076733469963074 * x0)) + (-0.9865196943283081 + (0.7046096920967102 * x0)))) * exp((exp((-4.456360340118408 * x0)) - exp((0.6908147931098938 * x0))))))),saturated,156.312875,38,10,38,10,181,195,77,1,94,(0.0008338154293597 + (0.9979702830314636 * (exp(exp(exp((-0.2034285333434609 * ((x1 + -1.697238562244654) * (x1 + -3.3032002421149307)))))) * ((exp((-0.6076733469963074 * x0)) + (-0.9865196943283081 + (x0 * 0.7046096920967102))) * exp((exp((x0 * -4.456360340118408)) - exp((x0 * 0.6908147931098938)))))))) 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(-0.0865126922726631 * x1)))) * (exp((-0.2363450229167938 * x1)) + exp(exp(exp(((1.167383074760437 * x1) - exp((0.4206682443618774 * x1))))))))))),saturated,200.735833,43,10,43,10,329,344,97,2,101,(1.09874044938e-05 + (0.9998849630355835 * (exp((-1.0000055860600643 * (x0 * x0))) * (((exp((0.0044344896450639 * x1)) + -0.9905131459236145) * exp(((x0 * 1.9999943971633911) + (-0.0865126922726631 * x1)))) * (exp((x1 * -0.2363450229167938)) + exp(exp(exp(((x1 * 1.167383074760437) - exp((x1 * 0.4206682443618774))))))))))) +kotanchek,144,Operon,Operon,25,1,kept,13.0,13.0,egglog-baseline,((-0.0021912427619100) + (1.0060203075408936 * ((((-1.9571648836135864) + ((-0.1280445605516434) * x1)) + (((-4.9479722976684570) * x0) + (((exp(((-25.1299152374267578) * x0)) - ((-1013.9223632812500000) + ((-2498.2419433593750000) * x0))) / ((-763.4477539062500000) - exp((2.6487932205200195 * x1)))) / exp(((-1.3105899095535278) * x1))))) / ((-64.6880645751953125) - exp((2.9050159454345703 * x0)))))),(-2.19124276191e-3) + ((1.0060203075408936) * ((((-1.9571648836135869) + ((-0.1280445605516434) * (x1))) + (((-4.947972297668457) * (x0)) + ((((exp((x0) * (-25.129915237426758))) - ((-1013.9223632812502) + ((x0) * (-2498.241943359375)))) / ((-763.44775390625) - (exp((x1) * (2.6487932205200195))))) / (exp((x1) * (-1.3105899095535278)))))) / ((-64.68806457519531) - (exp((x0) * (2.9050159454345703)))))),saturated,195.646333,43,13,43,13,256,277,109,2,115,(-0.00219124276191 + (((-1.9571648836135864 + (-0.1280445605516434 * x1)) + ((-4.947972297668457 * x0) + ((((exp((-25.129915237426758 * x0)) + 1013.92236328125) + (2498.241943359375 * x0)) / (-763.44775390625 - exp((2.6487932205200195 * x1)))) / exp((-1.3105899095535278 * x1))))) * (1.0060203075408936 / (-64.68806457519531 - exp((2.9050159454345703 * x0)))))),saturated,192.507916,43,13,43,13,256,277,109,2,115,(-0.00219124276191 + (((-1.9571648836135869 + (-0.1280445605516434 * x1)) + ((-4.947972297668457 * x0) + ((((exp((x0 * -25.129915237426758)) + 1013.9223632812502) + (2498.241943359375 * x0)) / (-763.44775390625 - exp((x1 * 2.6487932205200195)))) / exp((x1 * -1.3105899095535278))))) * (1.0060203075408936 / (-64.68806457519531 - exp((x0 * 2.9050159454345703)))))) +kotanchek,145,Operon,Operon,26,1,kept,14.0,9.0,egglog-baseline,((-0.0000017344426624) + (1.0000044107437134 * (exp((exp(((1.8745909929275513 - (0.6161273121833801 * x1)) * ((-0.4286146163940430) - (1.4141622781753540 - (0.9453756809234619 * x1))))) - (((0.6846604943275452 * x0) - 1.3692940473556519) * (1.4605207443237305 * x0)))) * ((1.0031132698059082 - ((-0.9088089466094971) * x1)) * (0.0477729775011539 - (0.0077679147943854 * x1)))))),(-1.7344426624e-6) + ((exp((exp((0.5824717772909054) * (((3.0425383777981425) - (x1)) * ((x1) + (-1.9492535420091783))))) + ((x0) * (((x0) - (1.999960650132932)) * (-0.9999608547843195))))) * (((6.150038815524071) - (x1)) * (((-1.1037669397382512) - (x1)) * (-7.059581599505541e-3)))),saturated,4254.025375,41,14,31,9,155,167,64,2,82,(-1.7344426624e-06 + ((-0.007059581599505541 * ((-1.103766939738251 - x1) * (6.150038815524072 - x1))) * exp((exp((0.5824717772909054 * ((-1.9492535420091786 + x1) * (3.042538377798143 - x1)))) + (-0.9999608547843195 * ((x0 + -1.9999606501329321) * x0)))))),saturated,180.612917,31,9,31,9,155,167,64,2,82,(-1.7344426624e-06 + (exp((exp((0.5824717772909054 * ((3.0425383777981425 - x1) * (x1 + -1.9492535420091783)))) + (x0 * ((x0 + -1.999960650132932) * -0.9999608547843195)))) * ((6.150038815524071 - x1) * ((-1.1037669397382512 - x1) * -0.007059581599505541)))) +kotanchek,146,Operon,Operon,27,1,kept,13.0,11.0,egglog-baseline,((-0.0020811073482037) + (0.9979038834571838 * ((((((-0.0209705717861652) * x1) - ((0.0227618105709553 * x0) + 0.0106864003464580)) * exp((0.0658860057592392 * x0))) + (0.0203825030475855 * x1)) * ((40.4724655151367188 / ((-62.7512664794921875) - exp((2.9289722442626953 * x0)))) / (exp((0.1633399575948715 * x1)) + ((-0.8682605624198914) - (0.2447641491889954 * x1))))))),(-2.0811073482037e-3) + (((-0.8469517048965315) / ((-62.75126647949219) - (exp((x0) * (2.9289722442626953))))) * ((((exp((x0) * (6.58860057592392e-2))) * (((x1) - ((x0) * (-1.0854167832453585))) + (0.5095903180621941))) + ((x1) * (-0.9719574294599034))) / ((exp((x1) * (0.1633399575948715))) + ((-0.8682605624198914) - ((x1) * (0.2447641491889954)))))),saturated,2180.331375,42,13,38,11,180,196,84,2,100,(-0.0020811073482037 + (((-0.8469517048965315 / (-62.75126647949219 - exp((2.9289722442626953 * x0)))) * ((exp((0.0658860057592392 * x0)) * ((x1 + (1.0854167832453585 * x0)) + 0.5095903180621942)) + (-0.9719574294599034 * x1))) / (exp((0.1633399575948715 * x1)) + (-0.8682605624198914 + (-0.2447641491889954 * x1))))),saturated,184.808875,38,11,38,11,180,196,84,2,100,(-0.0020811073482037 + ((-0.8469517048965315 / (-62.75126647949219 - exp((x0 * 2.9289722442626953)))) * (((exp((x0 * 0.0658860057592392)) * ((x1 + (1.0854167832453585 * x0)) + 0.5095903180621941)) + (x1 * -0.9719574294599034)) / (exp((x1 * 0.1633399575948715)) + (-0.8682605624198914 + (-0.2447641491889954 * x1)))))) +kotanchek,147,Operon,Operon,28,1,kept,12.0,11.0,egglog-baseline,(0.0014168095076457 + (0.9966097474098206 * (((4.5074963569641113 * x0) + exp(((-2.2596077919006348) * x0))) * ((((-0.0000623191444902) * x0) - exp(((0.5578119754791260 * x0) - exp((0.7266396284103394 * x0))))) * ((exp((1.8929998874664307 * x1)) * ((-0.0988849624991417) - ((-0.0229831431061029) * x1))) * (exp((0.2581167519092560 * x1)) + ((-0.6963179111480713) * x1))))))),(1.4168095076457e-3) + ((0.9966097474098206) * ((((4.507496356964111) * (x0)) + (exp((x0) * (-2.2596077919006348)))) * ((((x0) * (-6.23191444902e-5)) - (exp(((x0) * (0.557811975479126)) - (exp((x0) * (0.7266396284103394)))))) * (((exp((1.8929998874664307) * (x1))) * ((-9.88849624991417e-2) - ((x1) * (-2.29831431061029e-2)))) * ((exp((x1) * (0.258116751909256))) + ((x1) * (-0.6963179111480713))))))),saturated,5967.117625,46,12,44,11,755,769,118,2,108,(0.0014168095076457 + (((((0.022905224445656968 * (x1 + -4.302499533794574)) * (exp((0.258116751909256 * x1)) + (-0.6963179111480713 * x1))) * ((4.507496356964111 * x0) + exp((-2.2596077919006348 * x0)))) * exp((1.8929998874664307 * x1))) * ((-6.23191444902e-05 * x0) - exp(((0.557811975479126 * x0) - exp((0.7266396284103394 * x0))))))),saturated,6029.263417,46,12,44,11,755,769,118,2,108,(0.0014168095076457 + (((0.022905224445656968 * (x1 + -4.302499533794574)) * (((4.507496356964111 * x0) + exp((x0 * -2.2596077919006348))) * ((exp((x1 * 0.258116751909256)) + (x1 * -0.6963179111480713)) * exp((1.8929998874664307 * x1))))) * ((x0 * -6.23191444902e-05) - exp(((x0 * 0.557811975479126) - exp((x0 * 0.7266396284103394))))))) +kotanchek,148,Operon,Operon,29,1,kept,12.0,9.0,egglog-baseline,((-0.0000438776442024) + (1.0001060962677002 * (exp((((((-0.3045227825641632) * x1) * exp((0.5642136931419373 * x1))) - (4.0260410308837891 + ((-1.9999954700469971) * x0))) - (((-0.6665219664573669) * x0) * ((-1.5003671646118164) * x0)))) * (exp(exp((0.6489872336387634 * x1))) - (exp((1.3141704797744751 * x1)) * ((-0.1860205531120300) * exp((1.5301641225814819 * x1)))))))),(-4.38776442024e-5) + ((1.0001060962677002) * ((exp((((-0.3045227825641632) * (x1)) * (exp((x1) * (0.5642136931419373)))) + ((-4.02604103088379) + ((x0) * ((1.999995470046997) + ((x0) * (-1.0000276729651318))))))) * ((exp(exp((x1) * (0.6489872336387634)))) - ((exp((x1) * (1.314170479774475))) * ((-0.18602055311203) * (exp((x1) * (1.530164122581482)))))))),timeout,180000.000000,na,na,na,na,na,na,na,na,na,timeout,saturated,218.022042,41,11,41,11,278,299,116,2,103,(-4.38776442024e-05 + (1.0001060962677002 * (exp((((-0.3045227825641632 * x1) * exp((x1 * 0.5642136931419373))) + (-4.02604103088379 + (x0 * (1.999995470046997 + (x0 * -1.0000276729651318)))))) * (exp(exp((x1 * 0.6489872336387634))) + (0.18602055311203 * (exp((x1 * 1.314170479774475)) * exp((x1 * 1.530164122581482)))))))) +kotanchek,149,Operon,Operon,30,1,kept,11.0,11.0,egglog-baseline,(0.0002253897109767 + (0.9994593262672424 * (exp(exp((0.0994609072804451 * x1))) * (exp((((-0.5447754859924316) * x0) - exp((0.6602987051010132 * x0)))) * ((((-1.3688123226165771) + exp((0.1289836019277573 - exp((1.1763114929199219 * x0))))) + exp((0.6509695649147034 * x0))) / (((-0.9415363073348999) * x1) + exp((0.3773067891597748 * x1)))))))),(2.253897109767e-4) + ((0.9994593262672424) * ((exp(exp((9.94609072804451e-2) * (x1)))) * ((exp(((-0.5447754859924316) * (x0)) - (exp((x0) * (0.6602987051010132))))) * ((((-1.3688123226165771) + (exp((0.1289836019277573) - (exp((x0) * (1.1763114929199219)))))) + (exp((x0) * (0.6509695649147034)))) / (((x1) * (-0.9415363073348999)) + (exp((x1) * (0.3773067891597748)))))))),saturated,192.017000,43,11,43,11,300,314,91,2,105,(0.0002253897109767 + (0.9994593262672424 * (exp(exp((0.0994609072804451 * x1))) * (((-1.3688123226165771 + exp((0.1289836019277573 - exp((1.1763114929199219 * x0))))) + exp((0.6509695649147034 * x0))) * (exp(((-0.5447754859924316 * x0) - exp((0.6602987051010132 * x0)))) / ((-0.9415363073348999 * x1) + exp((0.3773067891597748 * x1)))))))),saturated,191.819708,43,11,43,11,300,314,91,2,105,(0.0002253897109767 + (0.9994593262672424 * (exp(exp((0.0994609072804451 * x1))) * (((-1.3688123226165771 + exp((0.1289836019277573 - exp((x0 * 1.1763114929199219))))) + exp((x0 * 0.6509695649147034))) * (exp(((-0.5447754859924316 * x0) - exp((x0 * 0.6602987051010132)))) / ((x1 * -0.9415363073348999) + exp((x1 * 0.3773067891597748)))))))) +kotanchek,150,SBP,SBP,1,1,kept,5.0,4.0,egglog-baseline,0.053829-0.000194*(((((exp(((x0+19.367000)-(x0*x0)))*exp((-13.819000+x0)))-(x1*exp(x1)))*(-1.237000-x1))+exp(x0))),(5.3829e-2) - ((1.94e-4) * (((((exp(((x0) + (19.367)) - ((x0) * (x0)))) * (exp((x0) + (-13.819)))) - ((x1) * (exp(x1)))) * ((-1.237) - (x1))) + 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+pagie,117,GOMEA,GOMEA,28,1,kept,1.950390-1.109849*((exp(((x0-x0)-(x1*x1)))+exp(((x0-x0)-(x0*x0))))),(1.95039) - ((1.109849) * ((exp((x0) - ((x0) + ((x1) * (x1))))) + (exp((x0) - ((x0) + ((x0) * (x0))))))),117,21.0,2.0,21.0,2.0,19.0,5.0,15.0,4.0,2.0,2.0 +pagie,118,GOMEA,GOMEA,29,1,kept,2.072676-0.000520*((exp(((x1+8.426000)-exp(x1)))+exp(((8.611000+x0)-exp(x0))))),(2.072676) - ((5.2e-4) * ((exp(((x1) + (8.426)) - (exp(x1)))) + (exp(((8.611) + (x0)) - (exp(x0)))))),118,19.0,4.0,19.0,4.0,19.0,4.0,17.0,3.0,4.0,3.0 +pagie,119,GOMEA,GOMEA,30,1,kept,1.983784-1.077004*((exp(((x1*x1)*(-17.973000+17.206000)))+exp(((-1.143000+0.306000)*(x0*x0))))),(1.983784) - ((1.077004) * ((exp(((x1) * (x1)) * (-0.7669999999999995))) + (exp((-0.837) * ((x0) * (x0)))))),119,17.0,4.0,17.0,4.0,17.0,4.0,17.0,4.0,4.0,4.0 +pagie,120,Operon,Operon,1,1,kept,(0.0000018283429881 + (1.0000038146972656 * (((exp((((0.0879114493727684 * x0) * ((-110.2642364501953125) * x0)) + (-1.4756100177764893))) + 1.6358861923217773) / exp(exp((((-1.3751174211502075) * x1) * (0.7306602597236633 * x1))))) - (exp((((0.0290526524186134 * x0) * ((-29.7418365478515625) * x0)) + 0.1625563055276871)) + (-0.3440066277980804))))),(1.0000038146972656) * (((((exp(((-9.69348884031831) * ((x0) * (x0))) + (-1.4756100177764893))) + (1.6358861923217773)) / (exp(exp((-1.0047436520881448) * ((x1) * (x1)))))) - (exp((((x0) * (x0)) * (-0.8640792395159441)) + (0.1625563055276871)))) + (0.3440084561340939)),120,39.0,12.0,31.0,8.0,46.0,13.0,34.0,9.0,12.0,7.0 +pagie,121,Operon,Operon,2,1,kept,((-0.0615618973970413) + (1.0497297048568726 * (((((3.4508244991302490 * x0) * (exp(((2.5524139404296875 * x0) * ((-1.6356614828109741) * x0))) * (((2.4663076400756836 * x0) * ((-0.0845688283443451) * x0)) * (3.5071039199829102 * x0)))) - exp(((3.0741317272186279 * x0) * ((-0.2599562704563141) * x0)))) - exp(((0.0030150315724313 * x1) * ((-247.1376800537109375) * x1)))) + 1.9547927379608154))),(1.0497297048568726) * (((((exp((-4.174885170550624) * ((x0) * (x0)))) * (((x0) * ((x0) * (x0))) * ((x0) * (-2.5242308455470654)))) - (exp(((x0) * (x0)) * (-0.7991398186991816)))) - (exp((-0.7451279080993636) * ((x1) * (x1))))) + (1.8961472627378055)),121,48.0,13.0,34.0,6.0,40.0,11.0,26.0,6.0,13.0,6.0 +pagie,122,Operon,Operon,3,1,kept,(0.0000011243114386 + (0.9999998211860657 * (((((-1.5812002420425415) + exp((((-0.1428712755441666) * x1) * (6.4702811241149902 * x1)))) + exp(((0.0134312557056546 * x0) * ((-68.7404861450195312) * x0)))) * (-1.2517620325088501)) - ((exp((((-0.0396961532533169) * x1) * (152.2495422363281250 * x1))) + exp(((1.0955569744110107 * x0) * ((-5.6038808822631836) * x0)))) * (-0.2742688059806824))))),(1.2517618086763562) * ((1.5812011402257509) - ((exp((-0.9244173173316528) * ((x1) * (x1)))) + ((exp((-0.9232710467447646) * ((x0) * (x0)))) + (((exp(((x1) * (x1)) * (-6.043721161360626))) + (exp(((x0) * (x0)) * (-6.139370784331959)))) * (-0.21910618700503146))))),122,45.0,13.0,33.0,7.0,45.0,13.0,29.0,7.0,13.0,7.0 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(exp(((0.4481753110885620 * x1) * ((-1.8585087060928345) * x1))) - (1.9719880819320679 - exp((((0.2870940864086151 * x0) * ((-1.9049599170684814) * x0)) / exp((((-0.2803071439266205) * x0) * (0.7164036631584167 * x0)))))))))),(1.0117771625518799) * ((((exp((-2.733019629829414) * ((x1) * (x1)))) * (((x1) * (x1)) * (-0.8502565893153748))) - ((exp(((x1) * (x1)) * (-0.832937717513957))) + (exp(((-0.5469027270358069) * ((x0) * (x0))) / (exp(((x0) * (x0)) * (-0.20081306471850446))))))) + (1.9524420922552503)),124,49.0,13.0,37.0,7.0,47.0,12.0,32.0,7.0,13.0,7.0 +pagie,125,Operon,Operon,6,1,kept,(0.0004403672355693 + (0.9997187852859497 * (exp((((-13.4114389419555664) * x0) * (0.2287123352289200 * x0))) - ((-3.1294746398925781) + (exp((exp((((-3.3788871765136719) * x0) * (0.2795567214488983 * x0))) - (-0.1448028236627579))) + ((1.0040752887725830 + ((1.8763431310653687 * x1) * (0.6411635279655457 * x1))) / exp(((1.1580088138580322 * x1) * (1.2662296295166016 * x1))))))))),(0.9997187852859497) * (((exp((-3.067361519194734) * ((x0) * (x0)))) - ((exp((exp(((x0) * (x0)) * (-0.9445906212118871))) + (0.1448028236627579))) + (((1.004075288772583) + ((1.20304278158779) * ((x1) * (x1)))) / (exp((x1) * ((x1) * (1.4663050713484154))))))) + (3.1299151310007285)),125,45.0,13.0,35.0,8.0,52.0,14.0,31.0,8.0,13.0,8.0 +pagie,126,Operon,Operon,7,1,kept,(0.0028247879818082 + (0.9984024167060852 * (0.7176343202590942 - ((exp(((4.5870537757873535 * x1) * ((-0.0708576515316963) * x1))) / ((((-2.5320065021514893) * x1) * ((-0.5026428699493408) * x1)) + exp((((-1.5353101491928101) * x1) * (1.0705516338348389 * x1))))) + ((-3.4508912563323975) / exp(exp(exp(((1.6964559555053711 * x0) * ((-0.5267499089241028) * x0)))))))))),(2.8247879818082e-3) + ((0.9984024167060852) * ((0.7176343202590942) - (((exp((-0.3250278580018921) * ((x1) * (x1)))) / ((((x1) * (x1)) * (1.2726950149718164)) + (exp(((x1) * (x1)) * (-1.643628788661573))))) + ((-3.4508912563323975) / (exp(exp(exp((-0.893608020056206) * ((x0) * (x0)))))))))),126,44.0,12.0,36.0,8.0,42.0,11.0,32.0,8.0,12.0,7.0 +pagie,127,Operon,Operon,8,1,kept,((-0.0218773111701012) + (1.0134590864181519 * ((((((-0.3641613721847534) * x0) * (2.2286646366119385 * x0)) * exp((((-2.4582626819610596) * x0) * (1.0862829685211182 * x0)))) + (1.9716572761535645 - exp(((((-2.4894037246704102) * x1) * (0.2193875461816788 * x1)) * exp((((-0.4357891678810120) * x1) * ((-0.4778871238231659) * x1))))))) - exp((((-1.3948150873184204) * x0) * (0.5922598838806152 * x0)))))),(-2.18773111701012e-2) + ((1.0134590864181519) * (((((-0.8115935722082384) * ((x0) * (x0))) * (exp(((x0) * (x0)) * (-2.670368883565345)))) + ((1.9716572761535645) - (exp(((-0.5461441746109729) * ((x1) * (x1))) * (exp(((x1) * (x1)) * (0.20825803203194762))))))) - (exp(((x0) * (x0)) * (-0.8260930216501379))))),127,49.0,13.0,39.0,8.0,47.0,12.0,32.0,7.0,13.0,7.0 +pagie,128,Operon,Operon,9,1,kept,((-0.0000084446337496) + (1.0000045299530029 * ((((exp(((1.8677622079849243 * x1) * ((-3.2215218544006348) * x1))) + exp(((4.2088832855224609 * x0) * ((-1.4519027471542358) * x0)))) * 0.2748067975044250) - ((exp(((0.5492876768112183 * x1) * ((-1.6836870908737183) * x1))) + exp(((1.3932512998580933 * x0) * ((-0.6629599928855896) * x0)))) * 1.2524310350418091)) + 1.9792671203613281))),(0.2748080423663026) * ((((exp((-6.0170367718470175) * ((x1) * (x1)))) + (exp((-6.110889204701607) * ((x0) * (x0))))) - (((exp(((x1) * (x1)) * (-0.9248285706230632))) + (exp(((x0) * (x0)) * (-0.92366987184176)))) * (4.5574965627320125))) + (7.20236432919372)),128,45.0,13.0,33.0,7.0,45.0,13.0,29.0,7.0,13.0,7.0 +pagie,129,Operon,Operon,10,1,kept,(0.0000002913372725 + (1.0000000000000000 * ((1.0092900991439819 / ((((-9.8911437988281250) * x0) * ((-0.0619828216731548) * x0)) - exp((((-5.2376017570495605) * x0) * ((-0.1814788132905960) * x0))))) + ((2.9227268695831299 / ((-1.9528466463088989) - exp((((-1044.4626464843750000) * x1) * ((-0.0013573808828369) * x1))))) + (((241.8676300048828125 * x1) * (0.0000091869978860 * x1)) - (-1.9428678750991821)))))),((1.009290099143982) / (((0.6130810022262947) * ((x0) * (x0))) - (exp(((x0) * (x0)) * (0.9505137513580948))))) + ((((2.92272686958313) / ((-1.952846646308899) - (exp((1.417733629175126) * ((x1) * (x1)))))) + (((x1) * (x1)) * (2.2220374055466887e-3))) + (1.9428681664364547)),129,43.0,13.0,33.0,8.0,33.0,8.0,29.0,8.0,14.0,8.0 +pagie,130,Operon,Operon,11,1,kept,((-0.0000135196241899) + (1.0000069141387939 * ((1.2255471944808960 * exp(((-1.7740323543548584) * exp(((2.9035081863403320 * x1) * ((-0.4098204970359802) * x1)))))) - ((1.2498761415481567 * exp(((0.1515025645494461 * x0) * ((-6.0828857421875000) * x0)))) + ((-0.7505750060081482) - (0.2749604582786560 * exp(((1.1432402133941650 * x0) * ((-5.4770793914794922) * x0))))))))),(1.2255556680842972) * (((exp((-1.7740323543548584) * (exp((-1.1899171680740324) * ((x1) * (x1)))))) - ((exp((-0.9215727898026671) * ((x0) * (x0)))) * (1.019851497499911))) + ((0.6124296884342743) + ((exp(((x0) * (x0)) * (-6.261617412291798))) * (0.22435729894116463)))),130,41.0,13.0,31.0,8.0,39.0,12.0,28.0,8.0,13.0,8.0 +pagie,131,Operon,Operon,12,1,kept,((-0.0001345924683847) + (1.0000907182693481 * (((0.0052004987373948 * x0) * ((-5.5132131576538086) * x0)) - (log((((-29.4069671630859375) * x1) * (((-0.0669591948390007) + (((7.1831178665161133 * x0) * ((-12.8945026397705078) * x0)) * (((-0.0048121302388608) * x0) * ((-3.7251195907592773) * x0)))) * (11.7470531463623047 * x1)))) * ((-0.1758960038423538) + ((5.9699630737304688 * x1) * (0.0000638487472315 * x1))))))),(-1.345924683847e-4) + ((((x0) * (x0)) - ((log(((((x0) * (x0)) * ((x0) * (x0))) + (4.032877607032475e-2)) * (((x1) * (x1)) * (573.5540504295212)))) * ((((x1) * (x1)) + (-461.4577535941546)) * (-1.3294568501084911e-2)))) * (-2.867405909042241e-2)),131,48.0,14.0,32.0,6.0,32.0,8.0,24.0,6.0,14.0,6.0 +pagie,132,Operon,Operon,13,1,kept,((-0.0000847672417876) + (1.0000656843185425 * ((exp((((-1.8279364109039307) * x1) * (2.2386462688446045 * x1))) - ((-1.5547065734863281) + ((-1.6497515439987183) / exp(exp(((0.0022635490167886 * x0) * ((-443.1721801757812500) * x0))))))) - exp(exp(((-1.6148645877838135) + exp((0.5693863630294800 + ((0.0016070556594059 * x1) * ((-348.2632751464843750) * x1)))))))))),(-8.47672417876e-5) + ((1.0000656843185425) * (((exp((-4.092103025955282) * ((x1) * (x1)))) - ((-1.5547065734863281) + ((-1.6497515439987183) / (exp(exp((-1.00314195270495) * ((x0) * (x0)))))))) - (exp(exp((-1.6148645877838135) + (exp((0.56938636302948) + (((x1) * (x1)) * (-0.5596784672873918))))))))),132,41.0,12.0,35.0,9.0,45.0,14.0,32.0,9.0,12.0,8.0 +pagie,133,Operon,Operon,14,1,kept,(0.0049303476698697 + (0.9968529939651489 * ((((exp((((-0.1228989660739899) * x1) * (28.5782623291015625 * x1))) - (0.0001418351894245 * x0)) - exp((((-0.9014899730682373) * x1) * (0.9040312170982361 * x1)))) - exp((((-0.1503573954105377) * x1) * (16.6330261230468750 * x1)))) + (((-1.0727374553680420) * exp((((-0.1865450739860535) * x0) * (4.1227397918701172 * x0)))) - (-1.9877362251281738))))),(0.9968529939651489) * ((((((exp((-3.5122388924378365) * ((x1) * (x1)))) + ((x0) * (-1.418351894245e-4))) - (exp(((x1) * (x1)) * (-0.8149750775547346)))) - (exp(((x1) * (x1)) * (-2.5008984856567618)))) + ((-1.072737455368042) * (exp((-0.7690767994996578) * ((x0) * (x0)))))) + (1.9926821376144859)),133,47.0,13.0,37.0,8.0,51.0,15.0,33.0,8.0,13.0,8.0 +pagie,134,Operon,Operon,15,1,kept,((-0.0000022516087483) + (1.0000016689300537 * (((((51.6682472229003906 * x0) * ((-0.0001894439337775) * x0)) + 2.5324115753173828) + ((-46.3591499328613281) / (((13.0968494415283203 * x0) * (2.1884925365447998 * x0)) + 34.0089225769042969))) + (((-1351.7908935546875000) / (((17.2840843200683594 * x1) * (47.4518127441406250 * x1)) + 990.7814331054687500)) + ((0.0012052881065756 * x1) * ((-8.2380609512329102) * x1)))))),(-9.788252341175882e-3) * (((x0) * (x0)) + ((((((x1) * (x1)) + ((165.99479114520634) / (((x1) * (x1)) + (1.2080326581103884)))) + ((162.89497489770397) / (((x0) * (x0)) + (1.186536134285651)))) * (1.0144051369822908)) + (-258.7196837451166))),134,45.0,15.0,29.0,7.0,35.0,10.0,25.0,7.0,15.0,7.0 +pagie,135,Operon,Operon,16,1,kept,(0.0071523520164192 + (0.9955711960792542 * (((exp(((0.0195227134972811 * x1) * ((-151.1385955810546875) * x1))) * ((396057.1250000000000000 * x1) * ((-0.0000024948039936) * x1))) + ((85.4024658203125000 * x1) / ((43.1343650817871094 * x1) - (((-47.3760452270507812) * x1) * exp(((0.9379857182502747 * x0) * ((-1.2238332033157349) * x0))))))) - exp(((185448.0000000000000000 * x1) * ((-0.0000044009234443) * x1)))))),(7.1523520164192e-3) + ((0.9955711960792542) * (((x1) * (((exp((-2.9506354999103657) * ((x1) * (x1)))) * ((x1) * (-0.9880848971437344))) + ((1.9799170721159522) / ((x1) - ((exp((-1.147938066230644) * ((x0) * (x0)))) * ((x1) * (-1.0983364455978666))))))) - (exp(((x1) * (x1)) * (-0.8161424508985464))))),135,50.0,13.0,38.0,8.0,50.0,13.0,34.0,8.0,13.0,8.0 +pagie,136,Operon,Operon,17,1,kept,(0.0005329695995897 + (0.9996598958969116 * (((2.9738872051239014 + exp(((100.4859924316406250 * x1) * ((-0.0308157186955214) * x1)))) - ((((0.7702111005783081 * x0) * (1.5427883863449097 * x0)) + 1.0054689645767212) * exp((((-1.7126119136810303) * x0) * (0.8499408960342407 * x0))))) - exp(exp((((100.9902267456054688 * x1) * ((-0.0091333612799644) * x1)) + 0.0902468413114548)))))),(5.329695995897e-4) + ((0.9996598958969116) * ((((2.9738872051239014) + (exp((-3.09654807561373) * ((x1) * (x1))))) - ((((1.1882727410061449) * ((x0) * (x0))) + (1.0054689645767212)) * (exp((x0) * ((x0) * (-1.4556189044729706)))))) - (exp(exp((((x1) * (x1)) * (-0.9223802266131381)) + (9.02468413114548e-2)))))),136,45.0,13.0,37.0,9.0,54.0,15.0,31.0,8.0,13.0,8.0 +pagie,137,Operon,Operon,18,1,kept,(0.0000816054744064 + (1.0001157522201538 * (((((-0.0021946807391942) * x0) * (13.7494821548461914 * x0)) + (-8.4071483612060547)) + ((log((((6955.1982421875000000 * x1) * (16.8089103698730469 * x1)) + 27880.0878906250000000)) + log((((85251.5703125000000000 * x0) * (3.5084772109985352 * x0)) + 63949.3125000000000000))) * (((1.2129596471786499 * x1) * ((-0.0008703975472599) * x1)) + 0.3835373818874359))))),((7963.069109938157) + ((((24.277697647852335) + ((log(((x1) * (x1)) + (0.23847621165016322))) + (log(((x0) * (x0)) + (0.213803510917648))))) * (((x1) * (x1)) + (-363.2818393765012))) + (((x0) * (x0)) * (28.582070257300213)))) * (-1.0558793080580105e-3),137,45.0,14.0,31.0,7.0,37.0,10.0,27.0,7.0,14.0,7.0 +pagie,138,Operon,Operon,19,1,kept,((-0.0000098704376796) + (1.0000013113021851 * ((exp(exp(((-0.1284630000591278) - exp((((-1.7482314109802246) * x0) * (0.6576864719390869 * x0)))))) - exp((0.2162327617406845 + (((-0.0238646697252989) * x1) * (38.5694580078125000 * x1))))) - exp((((-0.9399499893188477) - exp(((1.4266452789306641 * x1) * ((-5.3529791831970215) * x1)))) * 0.8908159136772156))))),(-9.8704376796e-6) + ((1.000001311302185) * (((exp(exp((-0.1284630000591278) - (exp((-1.1497881488206758) * ((x0) * (x0))))))) - (exp((0.2162327617406845) + ((-0.9204473768402301) * ((x1) * (x1)))))) - (exp(((-0.9399499893188477) - (exp(((x1) * (x1)) * (-7.636802479922153)))) * (0.8908159136772156))))),138,41.0,12.0,35.0,9.0,45.0,14.0,34.0,10.0,12.0,9.0 +pagie,139,Operon,Operon,20,1,kept,((-0.0000002506655221) + (1.0000001192092896 * (((((-0.0002352308656555) * x0) + 1.9712915420532227) - (exp((((-0.0005102988216095) * x1) * (2861.8625488281250000 * x1))) * (1.0045522451400757 + ((0.0003667365817819 * x1) * (3236.1384277343750000 * x1))))) + (exp((((-0.0249317195266485) * x0) * (58.4497108459472656 * x0))) * ((-1.0050251483917236) + (((-0.0338098518550396) * x0) * (35.2732009887695312 * x0))))))),(1.0000001192092896) * (((-2.3523086565550004e-4) * (x0)) + (((exp((-1.4604050862753524) * ((x1) * (x1)))) * ((((x1) * (x1)) + (0.8464303072824536)) * (-1.186810345160357))) + (((exp((-1.4572517972248622) * ((x0) * (x0)))) * ((-1.0050251483917236) + (((x0) * (x0)) * (-1.192581699883334)))) + (1.9712912913877296)))),139,47.0,14.0,37.0,9.0,59.0,15.0,31.0,8.0,14.0,8.0 +pagie,140,Operon,Operon,21,1,kept,(0.0056000440381467 + (0.9965137243270874 * ((0.7391300201416016 + (exp((((-26.2499160766601562) * x1) * (0.1143757924437523 * x1))) * (((-49.5787200927734375) * x1) * (0.0202242378145456 * x1)))) - (exp(((2.2524499893188477 * x1) * ((-0.3599792122840881) * x1))) + (exp((exp((((-0.7799134254455566) * x0) * (1.5038967132568359 * x0))) * (-1.7264224290847778))) * (-1.2398984432220459)))))),(5.6000440381467e-3) + ((0.9965137243270874) * (((0.7391300201416016) + ((exp((-3.002354952849999) * ((x1) * (x1)))) * (((x1) * (x1)) * (-1.0026918256970403)))) - ((exp(((x1) * (x1)) * (-0.8108351728643014))) + ((exp((exp((-1.172909237152453) * ((x0) * (x0)))) * (-1.7264224290847778))) * (-1.239898443222046))))),140,45.0,13.0,37.0,9.0,45.0,13.0,31.0,8.0,13.0,8.0 +pagie,141,Operon,Operon,22,1,kept,(0.0059260418638587 + (0.9963514208793640 * (((1.9877398014068604 + ((((-0.0255243461579084) * x1) * (39.2693595886230469 * x1)) * exp((((-0.0006980864563957) * x1) * (4245.9946289062500000 * x1))))) - exp((((-0.0209862142801285) * x1) * (38.7934265136718750 * x1)))) - exp((exp((-2.6416935920715332)) + ((0.0101619474589825 * x0) * ((-75.6802444458007812) * x0))))))),(5.9260418638587e-3) + ((0.996351420879364) * ((((1.9877398014068604) + (((-1.002324727539394) * ((x1) * (x1))) * (exp(((x1) * (x1)) * (-2.9640713443683393))))) - (exp(((x1) * (x1)) * (-0.8141271614763362)))) - (exp((7.124051495942774e-2) + ((-0.7690586677411797) * ((x0) * (x0))))))),141,42.0,12.0,34.0,8.0,40.0,11.0,28.0,7.0,12.0,7.0 +pagie,142,Operon,Operon,23,1,kept,(0.0007810645620339 + (0.9995014071464539 * (((((-1.0057448148727417) + ((0.7655488848686218 * x0) * ((-1.5458080768585205) * x0))) * exp(((0.4586827158927917 * x0) * ((-3.1686115264892578) * x0)))) + (2.9749636650085449 + exp(((-0.3110347986221313) + ((3.0109248161315918 * x1) * ((-1.1550782918930054) * x1)))))) - exp(exp(((23.0867309570312500 * x1) * ((-0.0377156287431717) * x1))))))),(7.810645620339e-4) + ((0.9995014071464539) * (((((-1.0057448148727417) + ((-1.1833916494599492) * ((x0) * (x0)))) * (exp(((x0) * (x0)) * (-1.4533873405792972)))) + ((2.974963665008545) + (exp((-0.3110347986221313) + ((-3.4778538936355403) * ((x1) * (x1))))))) - (exp(exp(((x1) * (x1)) * (-0.8707305736688796)))))),142,45.0,13.0,37.0,9.0,52.0,14.0,31.0,8.0,13.0,8.0 +pagie,143,Operon,Operon,24,1,kept,(0.0049892361275852 + (0.9968150258064270 * (exp(((-0.7375680804252625) / (exp((((-7.8003888130187988) * x1) * ((-0.0912654846906662) * x1))) - 0.9434194564819336))) - (exp(((((-11.2235412597656250) * x0) * (0.0819300860166550 * x0)) - (exp(((((-56.8530616760253906) * x0) * (0.1006406396627426 * x0)) - 1.4147840738296509)) - 0.2206120193004608))) - 0.9837305545806885)))),(0.996815025806427) * (((exp((-0.7375680804252625) / ((exp((0.7119062657958111) * ((x1) * (x1)))) + (-0.9434194564819336)))) - (exp(((-0.919545700824074) * ((x0) * (x0))) - ((exp((((x0) * (x0)) * (-5.721728493860552)) + (-1.4147840738296509))) + (-0.2206120193004608))))) + (0.9887357320694095)),143,41.0,13.0,33.0,9.0,41.0,13.0,30.0,9.0,13.0,9.0 +pagie,144,Operon,Operon,25,1,kept,((-0.0000055456266637) + (1.0000027418136597 * ((((exp((((-4.2250251770019531) * x1) * (1.4258037805557251 * x1))) + exp((((-1.1716369390487671) * x0) * (5.2204809188842773 * x0)))) * 0.2746707499027252) - (-1.9792732000350952)) - ((exp((((-1.7990413904190063) * x1) * (0.5140095949172974 * x1))) + exp(((1.8088867664337158 * x0) * ((-0.5105684995651245) * x0)))) * 1.2522673606872559)))),(1.252270794171011) * (((((exp((-6.024056870312506) * ((x1) * (x1)))) + (exp((-6.11650828416407) * ((x0) * (x0))))) * (0.21933874388611657)) - ((exp(((x1) * (x1)) * (-0.9247245363287249))) + (exp(((x0) * (x0)) * (-0.9235606022212721))))) + (1.580547187093814)),144,45.0,13.0,33.0,7.0,45.0,13.0,29.0,7.0,13.0,7.0 +pagie,145,Operon,Operon,26,1,kept,((-0.0001599656243343) + (1.0001020431518555 * ((exp(((25.9337768554687500 * x1) * ((-0.1575351804494858) * x1))) - (exp(exp(exp(((17.7164573669433594 * x1) * ((-0.0314616635441780) * x1))))) * 0.1594999134540558)) - ((-1.1739871501922607) - (exp((exp((((-0.3572374880313873) * x0) * (3.2828271389007568 * x0))) * (-1.7236351966857910))) * 1.2407730817794800))))),(1.0001020431518555) * (((exp((exp((-1.1727489207421724) * ((x0) * (x0)))) * (-1.723635196685791))) * (1.24077308177948)) + (((exp((-4.085482216662968) * ((x1) * (x1)))) - ((exp(exp(exp(((x1) * (x1)) * (-0.5573892208735457))))) * (0.1594999134540558))) + (1.173827200889657))),145,41.0,12.0,33.0,8.0,43.0,13.0,30.0,8.0,12.0,8.0 +pagie,146,Operon,Operon,27,1,kept,((-0.0639297738671303) + (1.0392827987670898 * ((1.9780735969543457 + ((exp((((-2.4385366439819336) * x1) * (2.2576689720153809 * x1))) * ((((-10.0973072052001953) * x1) * (391.6708374023437500 * x1)) * (((-0.0011133030056953) * x1) * ((-1.3449389934539795) * x1)))) - exp((((-1.7093311548233032) * x1) * (0.4650919437408447 * x1))))) - exp((((-1.2320897579193115) * x0) * (0.5889392495155334 * x0)))))),(-6.39297738671303e-2) + ((1.0392827987670898) * (((1.9780735969543457) + (((exp((-5.505408518240529) * ((x1) * (x1)))) * ((-5.921650519847204) * (((x1) * (x1)) * ((x1) * (x1))))) - (exp(((x1) * (x1)) * (-0.7949961492935529))))) - (exp((-0.7256260173647746) * ((x0) * (x0)))))),146,48.0,13.0,36.0,7.0,40.0,11.0,26.0,6.0,13.0,6.0 +pagie,147,Operon,Operon,28,1,kept,((-0.0000072608104347) + (1.0000052452087402 * (((-1.2524669170379639) * (exp((((-0.8438813686370850) * x0) * (1.0945762395858765 * x0))) + (exp((((-0.6344506740570068) * x1) * (1.4577195644378662 * x1))) + (-1.5802922248840332)))) + (0.2748360037803650 * (exp(((19.0184898376464844 * x0) * ((-0.3212499320507050) * x0))) + exp((((-0.8187244534492493) * x1) * (7.3472332954406738 * x1)))))))),(-1.252473486488384) * (((exp((-0.9248511602436906) * ((x1) * (x1)))) + ((exp((-0.9236924951393632) * ((x0) * (x0)))) + (((exp(((x0) * (x0)) * (-6.109688568050957))) + (exp(((x1) * (x1)) * (-6.015359564173792)))) * (-0.21943573921324933)))) + (-1.5802864277070767)),147,45.0,13.0,33.0,7.0,45.0,13.0,29.0,7.0,13.0,7.0 +pagie,148,Operon,Operon,29,1,kept,((-0.0000072977472882) + (1.0000039339065552 * ((0.2748106420040131 * (exp(((0.8403434157371521 * x1) * ((-7.1597433090209961) * x1))) + exp(((2.1294348239898682 * x0) * ((-2.8703227043151855) * x0))))) - ((-1.9792662858963013) + (1.2524309158325195 * (exp(((1.7403106689453125 * x1) * ((-0.5314179658889771) * x1))) + exp(((0.6934723854064941 * x0) * ((-1.3319598436355591) * x0))))))))),(0.27481172308339913) * ((((exp((-6.016643148103924) * ((x1) * (x1)))) + (exp((-6.1121651226575295) * ((x0) * (x0))))) + (((exp(((x1) * (x1)) * (-0.9248323557058029))) + (exp(((x0) * (x0)) * (-0.9236773700316121)))) * (-4.557432371247945))) + (7.202264707597524)),148,45.0,13.0,33.0,7.0,45.0,13.0,29.0,7.0,13.0,7.0 +pagie,149,Operon,Operon,30,1,kept,((-0.0166908428072929) + (1.0103557109832764 * ((-1.0929064750671387) * ((((-1.8171284198760986) + exp(((0.4634887576103210 * x0) * ((-1.7064006328582764) * x0)))) + ((exp((((-0.0545985996723175) * x1) * (290.8274841308593750 * x1))) + exp((((-6.8895225524902344) * x0) * (4.0632553100585938 * x0)))) * (-0.0849393755197525))) + exp((((-0.0165483560413122) * x1) * (47.9090309143066406 * x1))))))),(-1.1042242986546853) * ((exp((-0.790897509308948) * ((x0) * (x0)))) + (((((exp((-15.878773379768061) * ((x1) * (x1)))) + (exp(((x0) * (x0)) * (-27.99388909517438)))) * (-8.49393755197525e-2)) + (exp(((x1) * (x1)) * (-0.7928157011641793)))) + (-1.802012973831642))),149,45.0,13.0,33.0,7.0,45.0,13.0,33.0,7.0,13.0,7.0 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x1)) + ((-83.5919265747070312) - ((-39.5477447509765625) * x1))) / exp(((0.0681112110614777 * x0) * (14.6775512695312500 * x0)))))))),(-6.445771578e-5) + ((((x1) * (((x1) * (x1)) + (0.2513057822290573))) + (0.5279611222045847)) * (((exp((1.9995476007461548) * (x0))) * (((17.63513831255143) + ((x1) * ((x1) + (-8.343269227198043)))) / (exp((0.999705792384703) * ((x0) * (x0)))))) * (5.728173365985096e-3))),120,49.0,14.0,33.0,8.0,48.0,12.0,38.0,9.0,14.0,8.0 +kotanchek,121,Operon,Operon,2,1,kept,(0.0019190539605916 + (0.9954085946083069 * ((exp((3.0602750778198242 * x0)) / exp(((exp(((0.4211926460266113 * x0) + 1.6726008653640747)) - ((1.3422309160232544 * x1) - exp(((-1.2979059219360352) * x0)))) + ((0.0003775433578994 * x1) * (1131.5198974609375000 * x1))))) * ((((-0.0027062874287367) * x1) * ((-6793.8808593750000000) * x1)) + (((-24.5153598785400391) * x1) - (-29.1849021911621094)))))),(1.9190539605916e-3) + (((((x1) * ((x1) + (-1.3333569413975992))) + (1.5873269702501887)) * 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((0.9946426749229431) * ((exp((exp(exp(((1.1653105020523071) * (x1)) - (exp((x1) * (0.4197142422199249)))))) + ((-5.503303527832031) + ((x0) * ((1.9999958276748657) + ((x0) * (-1.000005214974017))))))) * ((exp((x1) * (0.2837287485599518))) - ((-2.8964312076568604) - (((x1) * (-0.2071333527565002)) - (exp((x1) * (-0.633906364440918)))))))),126,45.0,12.0,41.0,11.0,59.0,16.0,52.0,13.0,12.0,10.0 +kotanchek,127,Operon,Operon,8,1,kept,((-0.0148077905178070) + (1.0382655858993530 * (((((0.0000003963598942 * x0) * (1793.5753173828125000 * x0)) + (0.0000325083929056 * x1)) * ((((68.1199569702148438 * x0) + 50.2617149353027344) + ((0.1230096146464348 * x1) * (355.7100830078125000 * x0))) * (exp(((-2.7948594093322754) * x0)) * (exp(((-3.0556442737579346) * x1)) + (2.6853957176208496 * x1))))) * (((-5.3364686965942383) * x1) + 22.9583053588867188)))),(-1.4807790517807e-2) + (((50.26171493530273) + ((x0) * ((68.11995697021484) + ((x1) * (43.75576023664235))))) * (((exp((x0) * 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(0.9983761310577393 * ((((exp((0.3564732372760773 * x1)) * ((2.8750302791595459 * x1) + (-16.9938793182373047))) + (8.4957685470581055 + 8.5495948791503906)) + (3.2266986370086670 * x1)) / exp((((((-0.4841774106025696) * x0) + 0.9682721495628357) * ((-2.0647206306457520) * x0)) + ((0.0918822064995766 * x1) * ((3.7386786937713623 * x1) + (-3.2311415672302246)))))))),(6.644097738899e-4) + ((0.9983761310577393) * (((((exp((0.3564732372760773) * (x1))) * (((x1) * (2.875030279159546)) + (-16.993879318237305))) + (17.045363426208496)) + ((x1) * (3.226698637008667))) / (exp(((0.9996910885637647) * ((x0) * ((x0) + (-1.999829253408992)))) + ((0.34351804777666756) * ((x1) * ((x1) + (-0.8642469256888284)))))))),130,41.0,13.0,37.0,11.0,62.0,19.0,52.0,14.0,13.0,10.0 +kotanchek,131,Operon,Operon,12,1,kept,((-0.0007296766270883) + (1.0011714696884155 * (((((-796.1662597656250000) * x0) - (-3327.3220214843750000)) + ((((-416.2025756835937500) * x0) + 5066.6352539062500000) / ((1.3030259609222412 * x0) - exp((0.6703483462333679 * x0))))) / (((-34525.6953125000000000) - exp((2.9498600959777832 * x0))) - ((((-0.1925518661737442) * x0) + ((-19.2132587432861328) * x1)) * (((-239.9505157470703125) * x1) + 1202.1625976562500000)))))),(-7.296766270883e-4) + ((((x0) - (4.179179889466643)) + ((((x0) + (-12.173483658971914)) / (((x0) * (1.3030259609222412)) - (exp((x0) * (0.6703483462333679))))) * (0.522758369346266))) * ((-797.0989444058796) / (((-34525.6953125) - (exp((x0) * (2.949860095977783)))) + ((((x1) + (-5.010043816381869)) * ((x0) + ((x1) * (99.7822515308657)))) * (-46.20291959645079))))),131,45.0,14.0,41.0,12.0,45.0,14.0,41.0,12.0,14.0,12.0 +kotanchek,132,Operon,Operon,13,1,kept,(0.0036648171953857 + (0.9917431473731995 * (((0.7433260083198547 * x1) / ((exp(exp((0.5352578163146973 * x0))) * (exp((2.5961806774139404 * x1)) - (1.9263886213302612 - (297.5476074218750000 * x1)))) * exp(((-1.0667701959609985) * x1)))) / exp(((exp(((-0.1313982456922531) * x0)) * ((-6.9308919906616211) * x0)) - (((-4.3688435554504395) * x0) + 3.7469267845153809)))))),(3.6648171953857e-3) + (((x1) * ((0.7371884750154898) / (((exp(exp((0.5352578163146973) * (x0)))) * ((exp((x1) * (2.5961806774139404))) - ((1.9263886213302612) - ((x1) * (297.547607421875))))) * (exp((x1) * (-1.0667701959609985)))))) / (exp(((x0) * (((exp((x0) * (-0.1313982456922531))) * (-6.930891990661621)) + (4.3688435554504395))) + (-3.746926784515381)))),132,45.0,12.0,41.0,11.0,64.0,17.0,62.0,16.0,12.0,10.0 +kotanchek,133,Operon,Operon,14,1,kept,((-0.0022257824894041) + (1.0057435035705566 * (((exp(((((-0.7701046466827393) * x1) - (-3.8445262908935547)) * (1.3931946754455566 * x1))) + (((15.1122426986694336 * x1) - (-13.2947568893432617)) * (((-2.5437910556793213) * x1) - (-15.1461124420166016)))) / (exp((2.8625166416168213 * x0)) + (((-3.6063053607940674) * x0) + 62.3201675415039062))) * ((0.0344910286366940 * x0) + 0.0158514883369207)))),(-2.2257824894041e-3) + (((exp((-1.072905693294274) * ((x1) * ((x1) - (4.992212821275688))))) + ((-38.442387808130434) * (((x1) - (-0.87973420983464)) * ((x1) - (5.954149578520246))))) * ((3.4689127982821026e-2) * (((x0) + (0.4595829397809482)) / ((exp((x0) * (2.8625166416168213))) + (((x0) * (-3.6063053607940674)) + (62.320167541503906)))))),133,43.0,14.0,37.0,11.0,49.0,17.0,37.0,11.0,14.0,11.0 +kotanchek,134,Operon,Operon,15,1,kept,(0.0003700088418555 + (0.9992044568061829 * (((exp((0.1231540888547897 * x1)) * (((((-2.6712670326232910) * x0) - 1.5445685386657715) * ((1.0232990980148315 * x0) - exp(((-4.9796590805053711) * x0)))) - (((-10.8486871719360352) * x0) - 0.5861128568649292))) / (exp((2.4178924560546875 * x0)) - (-42.5792884826660156))) / (exp((0.3763327002525330 * x1)) - (0.9377985596656799 * x1))))),(3.700088418555e-4) + ((((x0) - (-5.402615519978467e-2)) + (((((x0) * (1.0232990980148315)) - (exp((x0) * (-4.979659080505371)))) * ((x0) - (-0.5782157005654891))) * (-0.24622951978313723))) * ((((exp((0.1231540888547897) * (x1))) / ((exp((x0) * (2.4178924560546875))) - (-42.579288482666016))) / ((exp((x1) * (0.376332700252533))) - ((x1) * (0.9377985596656799)))) * (10.84005657269455))),134,45.0,13.0,43.0,12.0,47.0,14.0,43.0,12.0,13.0,12.0 +kotanchek,135,Operon,Operon,16,1,kept,((-0.0158226937055588) + (1.0497971773147583 * (((exp(((-0.3585180342197418) * x1)) - ((((exp((1.7362647056579590 * x1)) - (-7144.3906250000000000)) + ((-3211.7934570312500000) * x1)) / (exp((3.3592488765716553 * x1)) - (-8749.7304687500000000))) - (-252.0166625976562500))) - (-251.8914642333984375)) / (exp((0.7833101749420166 * x0)) + log(exp(((-1.7847769260406494) * x0))))))),(-1.58226937055588e-2) + ((1.0497971773147583) * ((((exp((-0.3585180342197418) * (x1))) - ((((exp((x1) * (1.736264705657959))) - (-7144.390625)) + ((x1) * (-3211.79345703125))) / ((exp((x1) * (3.3592488765716553))) - (-8749.73046875)))) + (-0.1251983642578125)) / ((exp((0.7833101749420166) * (x0))) + ((x0) * (-1.7847769260406494))))),135,41.0,12.0,37.0,11.0,45.0,14.0,37.0,11.0,12.0,11.0 +kotanchek,136,Operon,Operon,17,1,kept,((-0.0000000143612136) + (1.0000000000000000 * (((0.0493797957897186 - (0.0001029339036904 * x0)) / (exp(((-0.0000001355219865) * x0)) + (((-0.0032123271375895) * x1) * (((-41.7853355407714844) * x1) + 208.9266815185546875)))) / exp((((-1.8152447938919067) * x0) * (1.1029279232025146 - (0.5508886575698853 * x0))))))),(-1.43612136e-8) + ((((4.93797957897186e-2) - ((1.029339036904e-4) * (x0))) / ((exp((x0) * (-1.355219865e-7))) + ((0.13422816731090328) * ((x1) * ((x1) + (-5.000000091292728)))))) / (exp((-0.9999977676678355) * ((x0) * ((2.0020886399582447) - (x0)))))),136,33.0,10.0,29.0,8.0,39.0,13.0,29.0,8.0,11.0,8.0 +kotanchek,137,Operon,Operon,18,1,kept,((-0.0000026597272154) + (1.0000067949295044 * ((exp(((1.3812974691390991 * x0) * (((-0.7240105271339417) * x0) + 1.4479488134384155))) * (((-0.0016091535799205) * x1) - (-0.0074326260946691))) * (exp((1.1061540842056274 * x1)) - ((((-4.3172826766967773) * x1) + (-5.3209042549133301)) - exp((((3.6427340507507324 * x1) - 0.0311711747199297) - exp((0.6457238197326660 * x1))))))))),(-2.6597272154e-6) + ((exp((-1.0000739087601787) * ((x0) * ((x0) + (-1.9999002212996078))))) * (((exp((x1) * (1.1061540842056274))) - ((((x1) * (-4.317282676696777)) + (-5.32090425491333)) - (exp((((x1) * (3.6427340507507324)) - (3.11711747199297e-2)) - (exp((x1) * (0.645723819732666))))))) * (((x1) - (4.618966261154704)) * (-1.6091645140056373e-3)))),137,43.0,13.0,39.0,11.0,58.0,18.0,48.0,13.0,13.0,11.0 +kotanchek,138,Operon,Operon,19,1,kept,(0.0034536698367447 + (0.9867714047431946 * ((((((-0.6941707730293274) * x1) + exp((0.2583339512348175 * x1))) * (((-0.6002479791641235) * x1) + exp((0.2208170741796494 * x1)))) * (exp(((-0.8911798000335693) * x0)) - (0.7564386129379272 + ((-1.2858601808547974) * x0)))) / exp(((((-2.1546506881713867) * x1) + exp((0.6885151863098145 * x0))) + exp(((-1.0648982524871826) * x0))))))),(3.4536698367447e-3) + ((0.9867714047431946) * ((((((-0.6941707730293274) * (x1)) + (exp((x1) * (0.2583339512348175)))) * (((x1) * (-0.6002479791641235)) + (exp((x1) * (0.2208170741796494))))) * ((exp((-0.8911798000335693) * (x0))) - ((0.7564386129379272) + ((x0) * (-1.2858601808547974))))) / (exp((((x1) * (-2.1546506881713867)) + (exp((x0) * (0.6885151863098145)))) + (exp((x0) * (-1.0648982524871826))))))),138,47.0,12.0,47.0,12.0,70.0,19.0,64.0,16.0,12.0,12.0 +kotanchek,139,Operon,Operon,20,1,kept,(0.0004888178664260 + (0.9988220334053040 * (exp((((((-5.1766362190246582) - (0.0070227989926934 * x0)) + (1.1790944337844849 * x1)) * ((-0.3277454376220703) * x1)) + (exp(((6.3319468498229980 * x1) * ((-0.0836486071348190) * x1))) * ((-1.0949771404266357) * x1)))) / (6.3024258613586426 / (0.0139735620468855 + exp(((2.2476174831390381 * x0) - exp((0.8711588978767395 * x0))))))))),(4.88817866426e-4) + ((0.998822033405304) * ((exp((x1) * (((((-737.1186651377163) - (x0)) + ((x1) * (167.89522738885566))) * (-2.301690329192133e-3)) + ((exp((-0.5296585344393987) * ((x1) * (x1)))) * (-1.0949771404266357))))) / ((6.302425861358643) / ((1.39735620468855e-2) + (exp(((x0) * (2.247617483139038)) - (exp((x0) * (0.8711588978767395))))))))),139,45.0,13.0,39.0,11.0,52.0,15.0,42.0,11.0,13.0,10.0 +kotanchek,140,Operon,Operon,21,1,kept,(0.0000354178737325 + (0.9998701810836792 * (((21.8554801940917969 * x1) - ((21.8578433990478516 * x1) - 0.0542484000325203)) * exp(((((-1.2365419864654541) - ((-0.6182689070701599) * x0)) * ((-1.6172654628753662) * x0)) - (exp(((((-0.0128339584916830) * x1) - (0.0000608815898886 * x1)) - ((((-1.6681232452392578) * x1) - (-6.2428498268127441)) * ((-0.1763334870338440) * x1)))) * ((-0.3036648035049438) * x1))))))),(3.54178737325e-5) + ((exp(((-0.999904950174269) * ((x0) * ((x0) + (-2.0000067483987736)))) - ((exp((x1) * ((-0.29414598863525043) * ((x1) + (-3.6986009700714013))))) * ((x1) * (-0.3036648035049438))))) * (((x1) + (-22.955435961460857)) * (-2.3628981673482485e-3))),140,47.0,14.0,29.0,8.0,59.0,17.0,51.0,13.0,14.0,8.0 +kotanchek,141,Operon,Operon,22,1,kept,(0.0000054139832173 + (0.9996626973152161 * (exp(((((-0.1160286292433739) * x0) * ((-17.2363529205322266) + (8.6183118820190430 * x0))) + exp((exp((((1.4520825147628784 * x1) + (-7.2530150413513184)) * ((-0.1153997406363487) * x1))) + (-2.4340145587921143))))) * (exp((((1.4263883829116821 * x1) + (-7.1799330711364746)) * ((-0.0031533578876406) * x1))) + (-0.9611204862594604))))),(5.4139832173e-6) + ((0.9996626973152161) * ((exp(((-0.9999709140625515) * ((x0) * ((x0) + (-1.999968573485206)))) + (exp((exp((-0.16756994558621316) * ((x1) * ((x1) + (-4.99490557018085))))) + (-2.4340145587921143))))) * ((exp((-4.497913058093474e-3) * ((x1) * ((x1) + (-5.033645223946721))))) + (-0.9611204862594604)))),141,41.0,13.0,35.0,10.0,75.0,20.0,60.0,15.0,13.0,10.0 +kotanchek,142,Operon,Operon,23,1,kept,(0.0008338154293597 + (0.9979702830314636 * ((exp(exp(exp(((0.0654336437582970 + ((-0.0385530032217503) * x1)) * ((-17.4296455383300781) + (5.2765936851501465 * x1)))))) * (exp(((-0.6076733469963074) * x0)) + ((-0.9865196943283081) + (0.7046096920967102 * x0)))) * exp((exp(((-4.4563603401184082) * x0)) - exp((0.6908147931098938 * x0))))))),(8.338154293597e-4) + ((0.9979702830314636) * ((exp(exp(exp((-0.2034285333434609) * (((x1) + (-1.697238562244654)) * ((x1) + (-3.3032002421149307))))))) * (((exp((-0.6076733469963074) * (x0))) + ((-0.9865196943283081) + ((x0) * (0.7046096920967102)))) * (exp((exp((x0) * (-4.456360340118408))) - (exp((x0) * (0.6908147931098938)))))))),142,40.0,11.0,38.0,10.0,57.0,17.0,49.0,13.0,11.0,10.0 +kotanchek,143,Operon,Operon,24,1,kept,(0.0000109874044938 + (0.9998849630355835 * (exp(((227.2529296875000000 * x0) * ((-0.0044004078954458) * x0))) * (((exp((0.0044344896450639 * x1)) - 0.9905131459236145) * exp(((1.9999943971633911 * x0) - (0.0865126922726631 * x1)))) * (exp(((-0.2363450229167938) * x1)) + exp(exp(exp(((1.1673830747604370 * x1) - exp((0.4206682443618774 * x1))))))))))),(1.09874044938e-5) + ((0.9998849630355835) * ((exp((-1.0000055860600643) * ((x0) * (x0)))) * ((((exp((4.4344896450639e-3) * (x1))) - (0.9905131459236145)) * (exp(((x0) * (1.9999943971633911)) - ((x1) * (8.65126922726631e-2))))) * ((exp((x1) * (-0.2363450229167938))) + (exp(exp(exp(((x1) * (1.167383074760437)) - (exp((x1) * (0.4206682443618774))))))))))),143,45.0,11.0,43.0,10.0,61.0,15.0,57.0,14.0,11.0,10.0 +kotanchek,144,Operon,Operon,25,1,kept,((-0.0021912427619100) + (1.0060203075408936 * ((((-1.9571648836135864) + ((-0.1280445605516434) * x1)) + (((-4.9479722976684570) * x0) + (((exp(((-25.1299152374267578) * x0)) - ((-1013.9223632812500000) + ((-2498.2419433593750000) * x0))) / ((-763.4477539062500000) - exp((2.6487932205200195 * x1)))) / exp(((-1.3105899095535278) * x1))))) / ((-64.6880645751953125) - exp((2.9050159454345703 * x0)))))),(-2.19124276191e-3) + ((1.0060203075408936) * ((((-1.9571648836135869) + ((-0.1280445605516434) * (x1))) + (((-4.947972297668457) * (x0)) + ((((exp((x0) * (-25.129915237426758))) - ((-1013.9223632812502) + ((x0) * (-2498.241943359375)))) / ((-763.44775390625) - (exp((x1) * (2.6487932205200195))))) / (exp((x1) * (-1.3105899095535278)))))) / ((-64.68806457519531) - (exp((x0) * (2.9050159454345703)))))),144,43.0,13.0,43.0,13.0,45.0,14.0,43.0,13.0,13.0,13.0 +kotanchek,145,Operon,Operon,26,1,kept,((-0.0000017344426624) + (1.0000044107437134 * (exp((exp(((1.8745909929275513 - (0.6161273121833801 * x1)) * ((-0.4286146163940430) - (1.4141622781753540 - (0.9453756809234619 * x1))))) - (((0.6846604943275452 * x0) - 1.3692940473556519) * (1.4605207443237305 * x0)))) * ((1.0031132698059082 - ((-0.9088089466094971) * x1)) * (0.0477729775011539 - (0.0077679147943854 * x1)))))),(-1.7344426624e-6) + ((exp((exp((0.5824717772909054) * (((3.0425383777981425) - (x1)) * ((x1) + (-1.9492535420091783))))) + ((x0) * (((x0) - (1.999960650132932)) * (-0.9999608547843195))))) * (((6.150038815524071) - (x1)) * (((-1.1037669397382512) - (x1)) * (-7.059581599505541e-3)))),145,41.0,14.0,31.0,9.0,67.0,22.0,51.0,14.0,14.0,9.0 +kotanchek,146,Operon,Operon,27,1,kept,((-0.0020811073482037) + (0.9979038834571838 * ((((((-0.0209705717861652) * x1) - ((0.0227618105709553 * x0) + 0.0106864003464580)) * exp((0.0658860057592392 * x0))) + (0.0203825030475855 * x1)) * ((40.4724655151367188 / ((-62.7512664794921875) - exp((2.9289722442626953 * x0)))) / (exp((0.1633399575948715 * x1)) + ((-0.8682605624198914) - (0.2447641491889954 * x1))))))),(-2.0811073482037e-3) + (((-0.8469517048965315) / ((-62.75126647949219) - (exp((x0) * (2.9289722442626953))))) * ((((exp((x0) * (6.58860057592392e-2))) * (((x1) - ((x0) * (-1.0854167832453585))) + (0.5095903180621941))) + ((x1) * (-0.9719574294599034))) / ((exp((x1) * (0.1633399575948715))) + ((-0.8682605624198914) - ((x1) * 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@@ +"""Regenerate Haskell-backed golden cases for the retained param-eq baseline.""" + +from __future__ import annotations + +import ast +import csv +import json +import math +import os +import subprocess +import tempfile +from dataclasses import dataclass +from pathlib import Path +from typing import Any + +from egglog.exp.param_eq.paths import ARTIFACT_DIR, GOLDEN_PATH, REPO_ROOT, llvm_bin_dir, param_eq_data_dir +from egglog.exp.param_eq.pipeline import parse_expression, render_num + +HASKELL_ROOT = param_eq_data_dir() + + +@dataclass(frozen=True) +class GoldenCaseSpec: + case_id: str + category: str + source: str + notes: str + compare_root_analysis: bool = True + compare_rewrite_tree: bool = True + compare_simplify_e: bool = True + compare_param_count: bool = True + expected_mismatch: bool = False + + +def _corpus_case(dataset: str, algorithm: str, algo_row: str, *, notes: str, expected_mismatch: bool) -> GoldenCaseSpec: + with (ARTIFACT_DIR / "haskell_paper_rows.csv").open() as handle: + rows = list(csv.DictReader(handle)) + for row in rows: + if row["dataset"] == dataset and row["algorithm"] == algorithm and row["algo_row"] == algo_row: + return GoldenCaseSpec( + case_id=f"{dataset}_{algorithm.lower()}_{algo_row}", + category="corpus", + source=row["original_expr"], + notes=notes, + compare_root_analysis=not expected_mismatch, + compare_rewrite_tree=not expected_mismatch, + compare_simplify_e=not expected_mismatch, + compare_param_count=not expected_mismatch, + expected_mismatch=expected_mismatch, + ) + msg = f"Missing corpus canary {dataset=} {algorithm=} {algo_row=}" + raise ValueError(msg) + + +CASE_SPECS: tuple[GoldenCaseSpec, ...] = ( + GoldenCaseSpec( + case_id="x_minus_x", + category="analysis", + source="x0 - x0", + notes="Mixed class stays non-constant even after 0 is introduced.", + ), + GoldenCaseSpec( + case_id="two_minus_two", + category="analysis", + source="2 - 2", + notes="Purely constant class prunes to the constant leaf.", + ), + GoldenCaseSpec( + case_id="x_div_x", + category="analysis", + source="x0 / x0", + notes="Mixed class stays non-constant even after 1 is introduced.", + ), + GoldenCaseSpec( + case_id="two_div_two", + category="analysis", + source="2 / 2", + notes="Purely constant division prunes to 1.", + ), + GoldenCaseSpec( + case_id="zero_div_x", + category="analysis", + source="0 / x0", + notes="Identity rewrite reaches 0 for any denominator shape.", + ), + GoldenCaseSpec( + case_id="zero_mul_x", + category="analysis", + source="0 * x0", + notes="Identity rewrite reaches 0 for any multiplicand shape.", + compare_root_analysis=False, + compare_rewrite_tree=False, + compare_simplify_e=False, + compare_param_count=False, + ), + GoldenCaseSpec( + case_id="log_mul_const_var", + category="guards", + source="log(2 * x0)", + notes="Covers the Haskell log-product guard bundle.", + ), + GoldenCaseSpec( + case_id="log_div_const_var", + category="guards", + source="log(2 / x0)", + notes="Covers the Haskell log-division guard bundle.", + ), + GoldenCaseSpec( + case_id="log_exp_var", + category="guards", + source="log(exp(x0))", + notes="Only fires for a non-constant argument.", + ), + GoldenCaseSpec( + case_id="exp_log_var", + category="guards", + source="exp(log(x0))", + notes="Only fires for a non-constant argument.", + ), + GoldenCaseSpec( + case_id="sqrt_negative_times_difference", + category="guards", + source="sqrt((-2.0) * (x0 - x1))", + notes="Covers the negative-a square-root rewrite shape.", + ), + GoldenCaseSpec( + case_id="x_mul_inverse_x", + category="guards", + source="x0 * (1 / x0)", + notes="Uses the same non-zero guard as x / x.", + compare_root_analysis=False, + compare_rewrite_tree=False, + compare_simplify_e=False, + compare_param_count=False, + ), + GoldenCaseSpec( + case_id="negative_const_div_self", + category="guards", + source="(-2) / (-2)", + notes="Negative constants still satisfy is_not_zero.", + ), + GoldenCaseSpec( + case_id="negative_const_pow_two", + category="analysis", + source="(-2) ** 2", + notes="Haskell folds negative-base powers with integer exponents.", + ), + GoldenCaseSpec( + case_id="negative_const_pow_three", + category="analysis", + source="(-2) ** 3", + notes="Haskell folds negative-base powers with integer exponents.", + ), + GoldenCaseSpec( + case_id="negative_const_pow_var", + category="analysis", + source="(-2) ** x0", + notes="Negative-base powers with non-constant exponents remain non-constant.", + ), + GoldenCaseSpec( + case_id="sbp_zero_times_quadratic", + category="schedule", + source="0.004376 - (0.0 * (x1 * x1))", + notes="Smallest Haskell-backed discriminator found so far for the bounded saturated-round schedule.", + ), + GoldenCaseSpec( + case_id="x0_sq_plus_x1_sq", + category="schedule", + source="(((51.6682472229003906 * x0) * ((-0.0001894439337775) * x0)) + ((0.0012052881065756 * x1) * ((-8.2380609512329102) * x1)))", + notes="Reduced Haskell-backed schedule canary: the current baseline disables add commutativity to avoid the raw quadratic-sum blowup.", + ), + GoldenCaseSpec( + case_id="sub_add_left_assoc", + category="extraction", + source="x0 - (x0 + x1)", + notes="Haskell and Python keep semantically equivalent but different extracted subtraction normal forms.", + compare_root_analysis=False, + compare_param_count=False, + expected_mismatch=True, + ), + GoldenCaseSpec( + case_id="nonconstant_power_exponent_count", + category="reporting", + source="(2.0 ** x0) + (x1 ** (x0 + 3.0))", + notes="Constants count as parameters, but non-constant exponents are still traversed.", + compare_root_analysis=False, + compare_rewrite_tree=False, + compare_simplify_e=False, + ), + _corpus_case( + "pagie", + "SBP", + "1", + notes="Previously mismatched corpus canary that now matches current FixTree.hs again.", + expected_mismatch=False, + ), + _corpus_case( + "pagie", + "Operon", + "15", + notes="Large canary that still differs in extracted form, but now appears numerically equivalent under the current baseline.", + expected_mismatch=True, + ), +) + + +def _source_to_haskell_expr(source: str) -> str: + tree = ast.parse(source.replace("^", "**"), mode="eval") + + def const(value: float) -> str: + rendered = repr(float(value)) + if float(value) < 0.0 or math.copysign(1.0, float(value)) < 0.0: + return f"(Const ({rendered}))" + return f"(Const {rendered})" + + def emit(node: ast.AST) -> str: + if isinstance(node, ast.Expression): + return emit(node.body) + if isinstance(node, ast.Constant) and isinstance(node.value, int | float): + return const(float(node.value)) + if isinstance(node, ast.Name): + if node.id.startswith("x") and node.id[1:].isdigit(): + return f"(Var {int(node.id[1:])})" + msg = f"Unsupported variable name: {node.id!r}" + raise ValueError(msg) + if isinstance(node, ast.UnaryOp) and isinstance(node.op, ast.USub): + if isinstance(node.operand, ast.Constant) and isinstance(node.operand.value, int | float): + return const(float(-node.operand.value)) + return f"(Mul {const(-1.0)} {emit(node.operand)})" + if isinstance(node, ast.BinOp): + lhs = emit(node.left) + rhs = emit(node.right) + match node.op: + case ast.Add(): + return f"(Add {lhs} {rhs})" + case ast.Sub(): + return f"(Sub {lhs} {rhs})" + case ast.Mult(): + return f"(Mul {lhs} {rhs})" + case ast.Div(): + return f"(Div {lhs} {rhs})" + case ast.Pow(): + return f"(Power {lhs} {rhs})" + msg = f"Unsupported binary operator: {ast.dump(node.op)}" + raise TypeError(msg) + if isinstance(node, ast.Call) and isinstance(node.func, ast.Name): + args = [emit(arg) for arg in node.args] + match node.func.id: + case "exp": + return f"(Fun Exp {args[0]})" + case "log": + return f"(Fun Log {args[0]})" + case "sqrt": + return f"(Fun Sqrt {args[0]})" + case "abs": + return f"(Fun Abs {args[0]})" + case "plog": + return f"(Fun Log (Fun Abs {args[0]}))" + case "square": + return f"(Power {args[0]} (Const 2.0))" + case "cube": + return f"(Power {args[0]} (Const 3.0))" + msg = f"Unsupported function call: {node.func.id}" + raise ValueError(msg) + msg = f"Unsupported AST node: {ast.dump(node)}" + raise TypeError(msg) + + return emit(tree) + + +def _normalize_haskell_pretty(expr: str) -> str: + replacements = { + "Log(": "log(", + "Exp(": "exp(", + "Sqrt(": "sqrt(", + "Abs(": "abs(", + "^": "**", + } + normalized = expr + for old, new in replacements.items(): + normalized = normalized.replace(old, new) + return normalized + + +def _canonicalize(expr: str) -> str: + return render_num(parse_expression(_normalize_haskell_pretty(expr))) + + +def _parse_analysis(text: str) -> dict[str, Any]: + if text == "Nothing": + return {"kind": "none", "value": None} + if text.startswith("Just "): + value_text = text.removeprefix("Just ").strip() + if value_text.startswith("(") and value_text.endswith(")"): + value_text = value_text[1:-1] + return {"kind": "some", "value": float(value_text)} + msg = f"Unexpected Haskell analysis output: {text!r}" + raise ValueError(msg) + + +def _build_haskell_program(cases: list[GoldenCaseSpec]) -> str: + case_lines = [] + for index, case in enumerate(cases): + source_literal = json.dumps(case.source) + prefix = " " if index == 0 else " , " + case_lines.append(f'{prefix}("{case.case_id}", {source_literal}, {_source_to_haskell_expr(case.source)})') + joined_case_lines = "\n".join(case_lines) + return "\n".join([ + "import Data.List (intercalate, sort)", + "import qualified Data.Set as S", + "import Data.SRTree", + "import Data.SRTree.Print", + "import FixTree", + "import Reparam (replaceConstsWithParams)", + "import qualified Data.Equality.Graph.Lens as L", + "import Data.Equality.Graph.Lens hiding ((^.))", + "import Data.Equality.Graph.Monad", + "import Data.Equality.Saturation", + "import Data.Equality.Saturation.Scheduler", + "import Data.Equality.Extraction", + "", + "cases :: [(String, String, SRTree Int Double)]", + "cases =", + " [", + joined_case_lines, + " ]", + "", + "sanitize :: String -> String", + "sanitize = map (\\c -> if c == '\\t' || c == '\\n' then ' ' else c)", + "", + "emitCase :: (String, String, SRTree Int Double) -> IO ()", + "emitCase (caseId, source, expr) = do", + " let ((root, beforeData, afterData, afterNodes), egr) =", + " egraph $ do", + " root <- represent (toFixTree expr)", + " beforeData <- gets (L.^. _class root._data)", + " runEqualitySaturation (BackoffScheduler 2500 30) (rewritesBasic <> rewritesFun)", + " afterData <- gets (L.^. _class root._data)", + " afterNodes <- gets (L.^. _class root._nodes)", + " pure (root, beforeData, afterData, afterNodes)", + " rewriteTreeExpr = relabelParams . toSRTree $ extractBest egr cost2 root", + " simplifiedExpr = simplifyE expr", + " paramCount = recountParams . replaceConstsWithParams $ simplifiedExpr", + " fields =", + " [ caseId", + " , source", + " , show beforeData", + " , show afterData", + " , show (sort (map show (S.toList afterNodes)))", + " , showDefault rewriteTreeExpr", + " , showDefault simplifiedExpr", + " , show paramCount", + " ]", + ' putStrLn (intercalate "\\t" (map sanitize fields))', + "", + "main :: IO ()", + "main = mapM_ emitCase cases", + "", + ]) + + +def _run_haskell_cases(cases: list[GoldenCaseSpec]) -> list[dict[str, Any]]: + program = _build_haskell_program(cases) + with tempfile.NamedTemporaryFile("w", suffix=".hs", delete=False) as handle: + handle.write(program) + temp_path = Path(handle.name) + try: + env = dict(os.environ) + llvm_bin = llvm_bin_dir() + if llvm_bin is not None: + env["PATH"] = f"{llvm_bin}:{env['PATH']}" + output = subprocess.check_output( + ["stack", "exec", "--", "runghc", "-isrc", str(temp_path)], + cwd=HASKELL_ROOT, + env=env, + text=True, + timeout=180, + ) + finally: + temp_path.unlink(missing_ok=True) + + results = [] + for line in output.splitlines(): + ( + case_id, + source, + analysis_before, + analysis_after, + after_nodes, + rewrite_tree_expr, + simplify_e_expr, + param_count, + ) = line.split( + "\t", + maxsplit=7, + ) + results.append({ + "case_id": case_id, + "source": source, + "analysis_before": _parse_analysis(analysis_before), + "analysis_after": _parse_analysis(analysis_after), + "after_nodes_haskell": ast.literal_eval(after_nodes), + "rewrite_tree_expr_haskell": rewrite_tree_expr, + "rewrite_tree_expr_python": _canonicalize(rewrite_tree_expr), + "simplify_e_expr_haskell": simplify_e_expr, + "simplify_e_expr_python": _canonicalize(simplify_e_expr), + "simplify_e_param_count": int(param_count), + }) + return results + + +def main() -> None: + haskell_rows = {row["case_id"]: row for row in _run_haskell_cases(list(CASE_SPECS))} + portable_source = os.path.relpath(HASKELL_ROOT / "src" / "FixTree.hs", REPO_ROOT) + portable_generator = os.path.relpath(Path(__file__).resolve(), REPO_ROOT) + payload: dict[str, Any] = { + "source_of_truth": portable_source, + "generator": portable_generator, + "cases": [], + } + for case in CASE_SPECS: + payload["cases"].append({ + "case_id": case.case_id, + "category": case.category, + "source": case.source, + "notes": case.notes, + "compare_root_analysis": case.compare_root_analysis, + "compare_rewrite_tree": case.compare_rewrite_tree, + "compare_simplify_e": case.compare_simplify_e, + "compare_param_count": case.compare_param_count, + "expected_mismatch": case.expected_mismatch, + **haskell_rows[case.case_id], + }) + GOLDEN_PATH.write_text(json.dumps(payload, indent=2, sort_keys=False) + "\n") + print(GOLDEN_PATH) + + +if __name__ == "__main__": + main() diff --git a/python/egglog/exp/param_eq/haskell_golden.json b/python/egglog/exp/param_eq/haskell_golden.json new file mode 100644 index 00000000..8ba8a330 --- /dev/null +++ b/python/egglog/exp/param_eq/haskell_golden.json @@ -0,0 +1,1811 @@ +{ + "source_of_truth": "../param-eq-haskell/src/FixTree.hs", + "generator": "python/egglog/exp/param_eq/generate_haskell_golden.py", + "cases": [ + { + "case_id": "x_minus_x", + "category": "analysis", + "source": "x0 - x0", + "notes": "Mixed class stays non-constant even after 0 is introduced.", + "compare_root_analysis": true, + "compare_rewrite_tree": true, + "compare_simplify_e": true, + "compare_param_count": true, + "expected_mismatch": false, + "analysis_before": { + "kind": "none", + "value": null + }, + "analysis_after": { + "kind": "none", + "value": null + }, + "after_nodes_haskell": [ + "ConstF 0.0", + "SubF 1 1" + ], + "rewrite_tree_expr_haskell": "(x0) - (x0)", + "rewrite_tree_expr_python": "(x0 - x0)", + "simplify_e_expr_haskell": "(x0) - (x0)", + "simplify_e_expr_python": "(x0 - x0)", + "simplify_e_param_count": 0 + }, + { + "case_id": "two_minus_two", + "category": "analysis", + "source": "2 - 2", + "notes": "Purely constant class prunes to the constant leaf.", + "compare_root_analysis": true, + "compare_rewrite_tree": true, + "compare_simplify_e": true, + "compare_param_count": true, + "expected_mismatch": false, + "analysis_before": { + "kind": "some", + "value": 0.0 + }, + "analysis_after": { + "kind": "some", + "value": 0.0 + }, + "after_nodes_haskell": [ + "ConstF 0.0" + ], + "rewrite_tree_expr_haskell": "0.0", + "rewrite_tree_expr_python": "0.0", + "simplify_e_expr_haskell": "0.0", + "simplify_e_expr_python": "0.0", + "simplify_e_param_count": 1 + }, + { + "case_id": "x_div_x", + "category": "analysis", + "source": "x0 / x0", + "notes": "Mixed class stays non-constant even after 1 is introduced.", + "compare_root_analysis": true, + "compare_rewrite_tree": true, + "compare_simplify_e": true, + "compare_param_count": true, + "expected_mismatch": false, + "analysis_before": { + "kind": "none", + "value": null + }, + "analysis_after": { + "kind": "none", + "value": null + }, + "after_nodes_haskell": [ + "ConstF 1.0", + "DivF 1 1" + ], + "rewrite_tree_expr_haskell": "(x0) / (x0)", + "rewrite_tree_expr_python": "(x0 / x0)", + "simplify_e_expr_haskell": "(x0) / (x0)", + "simplify_e_expr_python": "(x0 / x0)", + "simplify_e_param_count": 0 + }, + { + "case_id": "two_div_two", + "category": "analysis", + "source": "2 / 2", + "notes": "Purely constant division prunes to 1.", + "compare_root_analysis": true, + "compare_rewrite_tree": true, + "compare_simplify_e": true, + "compare_param_count": true, + "expected_mismatch": false, + "analysis_before": { + "kind": "some", + "value": 1.0 + }, + "analysis_after": { + "kind": "some", + "value": 1.0 + }, + "after_nodes_haskell": [ + "ConstF 1.0" + ], + "rewrite_tree_expr_haskell": "1.0", + "rewrite_tree_expr_python": "1.0", + "simplify_e_expr_haskell": "1.0", + "simplify_e_expr_python": "1.0", + "simplify_e_param_count": 1 + }, + { + "case_id": "zero_div_x", + "category": "analysis", + "source": "0 / x0", + "notes": "Identity rewrite reaches 0 for any denominator shape.", + "compare_root_analysis": true, + "compare_rewrite_tree": true, + "compare_simplify_e": true, + "compare_param_count": true, + "expected_mismatch": false, + "analysis_before": { + "kind": "none", + "value": null + }, + "analysis_after": { + "kind": "none", + "value": null + }, + "after_nodes_haskell": [ + "ConstF 0.0", + "DivF 1 2" + ], + "rewrite_tree_expr_haskell": "0.0", + "rewrite_tree_expr_python": "0.0", + "simplify_e_expr_haskell": "0.0", + "simplify_e_expr_python": "0.0", + "simplify_e_param_count": 1 + }, + { + "case_id": "zero_mul_x", + "category": "analysis", + "source": "0 * x0", + "notes": "Identity rewrite reaches 0 for any multiplicand shape.", + "compare_root_analysis": false, + "compare_rewrite_tree": false, + "compare_simplify_e": false, + "compare_param_count": false, + "expected_mismatch": false, + "analysis_before": { + "kind": "none", + "value": null + }, + "analysis_after": { + "kind": "none", + "value": null + }, + "after_nodes_haskell": [ + "ConstF 0.0", + "MulF 1 10", + "MulF 1 12", + "MulF 1 120", + "MulF 1 122", + "MulF 1 124", + "MulF 1 126", + "MulF 1 130", + "MulF 1 132", + "MulF 1 136", + "MulF 1 138", + "MulF 1 140", + "MulF 1 142", + "MulF 1 144", + "MulF 1 146", + "MulF 1 150", + "MulF 1 152", + "MulF 1 156", + "MulF 1 158", + "MulF 1 180", + "MulF 1 182", + "MulF 1 184", + "MulF 1 186", + "MulF 1 19", + "MulF 1 190", + "MulF 1 192", + "MulF 1 196", + "MulF 1 198", + "MulF 1 2", + "MulF 1 200", + "MulF 1 202", + "MulF 1 204", + "MulF 1 206", + "MulF 1 21", + "MulF 1 210", + "MulF 1 212", + "MulF 1 216", + "MulF 1 218", + "MulF 1 23", + "MulF 1 25", + "MulF 1 27", + "MulF 1 29", + "MulF 1 31", + "MulF 1 33", + "MulF 1 35", + "MulF 1 37", + "MulF 1 39", + "MulF 1 5", + "MulF 1 62", + "MulF 1 72", + "MulF 1 74", + "MulF 1 78", + "MulF 1 8", + "MulF 1 80", + "MulF 1 84", + "MulF 1 86", + "MulF 1 90", + "MulF 1 92", + "MulF 1 96", + "MulF 1 98", + "MulF 10 1", + "MulF 100 1", + "MulF 102 1", + "MulF 104 1", + "MulF 106 1", + "MulF 108 1", + "MulF 110 1", + "MulF 112 1", + "MulF 114 1", + "MulF 116 1", + "MulF 118 1", + "MulF 12 1", + "MulF 120 1", + "MulF 122 1", + "MulF 124 1", + "MulF 126 1", + "MulF 128 1", + "MulF 130 1", + "MulF 132 1", + "MulF 134 1", + "MulF 136 1", + "MulF 138 1", + "MulF 140 1", + "MulF 142 1", + "MulF 144 1", + "MulF 146 1", + "MulF 148 1", + "MulF 150 1", + "MulF 152 1", + "MulF 154 1", + "MulF 156 1", + "MulF 158 1", + "MulF 160 1", + "MulF 162 1", + "MulF 164 1", + "MulF 166 1", + "MulF 168 1", + "MulF 17 1", + "MulF 170 1", + "MulF 172 1", + "MulF 174 1", + "MulF 176 1", + "MulF 178 1", + "MulF 180 1", + "MulF 182 1", + "MulF 184 1", + "MulF 186 1", + "MulF 188 1", + "MulF 19 1", + "MulF 190 1", + "MulF 192 1", + "MulF 194 1", + "MulF 196 1", + "MulF 198 1", + "MulF 2 1", + "MulF 200 1", + "MulF 202 1", + "MulF 204 1", + "MulF 206 1", + "MulF 208 1", + "MulF 21 1", + "MulF 210 1", + "MulF 212 1", + "MulF 214 1", + "MulF 216 1", + "MulF 218 1", + "MulF 23 1", + "MulF 25 1", + "MulF 27 1", + "MulF 29 1", + "MulF 31 1", + "MulF 33 1", + "MulF 35 1", + "MulF 37 1", + "MulF 39 1", + "MulF 5 1", + "MulF 52 1", + "MulF 54 1", + "MulF 56 1", + "MulF 58 1", + "MulF 60 1", + "MulF 62 1", + "MulF 64 1", + "MulF 66 1", + "MulF 68 1", + "MulF 70 1", + "MulF 72 1", + "MulF 74 1", + "MulF 76 1", + "MulF 78 1", + "MulF 8 1", + "MulF 80 1", + "MulF 82 1", + "MulF 84 1", + "MulF 86 1", + "MulF 88 1", + "MulF 90 1", + "MulF 92 1", + "MulF 94 1", + "MulF 96 1", + "MulF 98 1" + ], + "rewrite_tree_expr_haskell": "0.0", + "rewrite_tree_expr_python": "0.0", + "simplify_e_expr_haskell": "0.0", + "simplify_e_expr_python": "0.0", + "simplify_e_param_count": 1 + }, + { + "case_id": "log_mul_const_var", + "category": "guards", + "source": "log(2 * x0)", + "notes": "Covers the Haskell log-product guard bundle.", + "compare_root_analysis": true, + "compare_rewrite_tree": true, + "compare_simplify_e": true, + "compare_param_count": true, + "expected_mismatch": false, + "analysis_before": { + "kind": "none", + "value": null + }, + "analysis_after": { + "kind": "none", + "value": null + }, + "after_nodes_haskell": [ + "AddF 6 8", + "AddF 8 6", + "FunF Log 3" + ], + "rewrite_tree_expr_haskell": "Log((2.0) * (x0))", + "rewrite_tree_expr_python": "log((2.0 * x0))", + "simplify_e_expr_haskell": "Log((2.0) * (x0))", + "simplify_e_expr_python": "log((2.0 * x0))", + "simplify_e_param_count": 1 + }, + { + "case_id": "log_div_const_var", + "category": "guards", + "source": "log(2 / x0)", + "notes": "Covers the Haskell log-division guard bundle.", + "compare_root_analysis": true, + "compare_rewrite_tree": true, + "compare_simplify_e": true, + "compare_param_count": true, + "expected_mismatch": false, + "analysis_before": { + "kind": "none", + "value": null + }, + "analysis_after": { + "kind": "none", + "value": null + }, + "after_nodes_haskell": [ + "FunF Log 3", + "SubF 5 7" + ], + "rewrite_tree_expr_haskell": "Log((2.0) / (x0))", + "rewrite_tree_expr_python": "log((2.0 / x0))", + "simplify_e_expr_haskell": "Log((2.0) / (x0))", + "simplify_e_expr_python": "log((2.0 / x0))", + "simplify_e_param_count": 1 + }, + { + "case_id": "log_exp_var", + "category": "guards", + "source": "log(exp(x0))", + "notes": "Only fires for a non-constant argument.", + "compare_root_analysis": true, + "compare_rewrite_tree": true, + "compare_simplify_e": true, + "compare_param_count": true, + "expected_mismatch": false, + "analysis_before": { + "kind": "none", + "value": null + }, + "analysis_after": { + "kind": "none", + "value": null + }, + "after_nodes_haskell": [ + "FunF Log 2", + "VarF 0" + ], + "rewrite_tree_expr_haskell": "x0", + "rewrite_tree_expr_python": "x0", + "simplify_e_expr_haskell": "x0", + "simplify_e_expr_python": "x0", + "simplify_e_param_count": 0 + }, + { + "case_id": "exp_log_var", + "category": "guards", + "source": "exp(log(x0))", + "notes": "Only fires for a non-constant argument.", + "compare_root_analysis": true, + "compare_rewrite_tree": true, + "compare_simplify_e": true, + "compare_param_count": true, + "expected_mismatch": false, + "analysis_before": { + "kind": "none", + "value": null + }, + "analysis_after": { + "kind": "none", + "value": null + }, + "after_nodes_haskell": [ + "FunF Exp 2", + "VarF 0" + ], + 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+ "case_id": "negative_const_div_self", + "category": "guards", + "source": "(-2) / (-2)", + "notes": "Negative constants still satisfy is_not_zero.", + "compare_root_analysis": true, + "compare_rewrite_tree": true, + "compare_simplify_e": true, + "compare_param_count": true, + "expected_mismatch": false, + "analysis_before": { + "kind": "some", + "value": 1.0 + }, + "analysis_after": { + "kind": "some", + "value": 1.0 + }, + "after_nodes_haskell": [ + "ConstF 1.0" + ], + "rewrite_tree_expr_haskell": "1.0", + "rewrite_tree_expr_python": "1.0", + "simplify_e_expr_haskell": "1.0", + "simplify_e_expr_python": "1.0", + "simplify_e_param_count": 1 + }, + { + "case_id": "negative_const_pow_two", + "category": "analysis", + "source": "(-2) ** 2", + "notes": "Haskell folds negative-base powers with integer exponents.", + "compare_root_analysis": true, + "compare_rewrite_tree": true, + "compare_simplify_e": true, + "compare_param_count": true, + "expected_mismatch": false, + "analysis_before": 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"simplify_e_param_count": 1 + }, + { + "case_id": "negative_const_pow_var", + "category": "analysis", + "source": "(-2) ** x0", + "notes": "Negative-base powers with non-constant exponents remain non-constant.", + "compare_root_analysis": true, + "compare_rewrite_tree": true, + "compare_simplify_e": true, + "compare_param_count": true, + "expected_mismatch": false, + "analysis_before": { + "kind": "none", + "value": null + }, + "analysis_after": { + "kind": "none", + "value": null + }, + "after_nodes_haskell": [ + "PowerF 1 2" + ], + "rewrite_tree_expr_haskell": "(-2.0)**(x0)", + "rewrite_tree_expr_python": "(-2.0 ** x0)", + "simplify_e_expr_haskell": "(-2.0)**(x0)", + "simplify_e_expr_python": "(-2.0 ** x0)", + "simplify_e_param_count": 1 + }, + { + "case_id": "sbp_zero_times_quadratic", + "category": "schedule", + "source": "0.004376 - (0.0 * (x1 * x1))", + "notes": "Smallest Haskell-backed discriminator found so far for the bounded saturated-round schedule.", + 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+ "MulF 165 20", + "MulF 165 21", + "MulF 165 214", + "MulF 165 22", + "MulF 165 32", + "MulF 165 38", + "MulF 165 45", + "MulF 165 6", + "MulF 165 84", + "MulF 165 86", + "MulF 165 88", + "MulF 165 90", + "MulF 165 92", + "MulF 165 94", + "MulF 167 100", + "MulF 167 102", + "MulF 167 110", + "MulF 167 165", + "MulF 167 167", + "MulF 167 17", + "MulF 167 179", + "MulF 167 18", + "MulF 167 181", + "MulF 167 19", + "MulF 167 20", + "MulF 167 21", + "MulF 167 214", + "MulF 167 22", + "MulF 167 32", + "MulF 167 38", + "MulF 167 45", + "MulF 167 6", + "MulF 167 84", + "MulF 167 86", + "MulF 167 88", + "MulF 167 90", + "MulF 167 92", + "MulF 167 94", + "MulF 169 6", + "MulF 17 100", + "MulF 17 102", + "MulF 17 110", + "MulF 17 1443", + "MulF 17 161", + "MulF 17 165", + "MulF 17 167", + "MulF 17 17", + "MulF 17 173", + "MulF 17 179", + "MulF 17 18", + "MulF 17 181", + "MulF 17 19", + "MulF 17 20", + "MulF 17 202", + "MulF 17 21", + "MulF 17 214", + "MulF 17 32", + "MulF 17 38", + "MulF 17 45", + "MulF 17 59", + "MulF 17 6", + "MulF 17 84", + "MulF 17 86", + "MulF 17 88", + "MulF 17 90", + "MulF 17 92", + "MulF 17 94", + "MulF 171 18", + "MulF 173 17", + "MulF 175 20", + "MulF 179 100", + "MulF 179 102", + "MulF 179 110", + "MulF 179 165", + "MulF 179 167", + "MulF 179 17", + "MulF 179 179", + "MulF 179 18", + "MulF 179 181", + "MulF 179 19", + "MulF 179 20", + "MulF 179 21", + "MulF 179 214", + "MulF 179 22", + "MulF 179 32", + "MulF 179 38", + "MulF 179 45", + "MulF 179 6", + "MulF 179 84", + "MulF 179 86", + "MulF 179 88", + "MulF 179 90", + "MulF 179 92", + "MulF 179 94", + "MulF 18 100", + "MulF 18 102", + "MulF 18 110", + "MulF 18 1441", + "MulF 18 159", + "MulF 18 165", + "MulF 18 167", + "MulF 18 17", + "MulF 18 171", + "MulF 18 179", + "MulF 18 181", + "MulF 18 19", + "MulF 18 20", + "MulF 18 200", + "MulF 18 21", + "MulF 18 32", + "MulF 18 38", + "MulF 18 45", + "MulF 18 57", + "MulF 18 6", + "MulF 18 84", + "MulF 18 86", + "MulF 18 88", + "MulF 18 90", + "MulF 18 92", + "MulF 18 94", + "MulF 181 100", + "MulF 181 102", + "MulF 181 110", + "MulF 181 165", + "MulF 181 167", + "MulF 181 17", + "MulF 181 179", + "MulF 181 18", + "MulF 181 181", + "MulF 181 19", + "MulF 181 20", + "MulF 181 21", + "MulF 181 214", + "MulF 181 22", + "MulF 181 32", + "MulF 181 38", + "MulF 181 45", + "MulF 181 6", + "MulF 181 84", + "MulF 181 86", + "MulF 181 88", + "MulF 181 90", + "MulF 181 92", + "MulF 181 94", + "MulF 19 100", + "MulF 19 102", + "MulF 19 110", + "MulF 19 163", + "MulF 19 165", + "MulF 19 167", + "MulF 19 169", + "MulF 19 17", + "MulF 19 171", + "MulF 19 173", + "MulF 19 175", + "MulF 19 179", + "MulF 19 18", + "MulF 19 181", + "MulF 19 19", + "MulF 19 20", + "MulF 19 208", + "MulF 19 21", + "MulF 19 214", + "MulF 19 22", + "MulF 19 32", + "MulF 19 38", + "MulF 19 45", + "MulF 19 6", + "MulF 19 84", + "MulF 19 86", + "MulF 19 88", + "MulF 19 90", + "MulF 19 92", + "MulF 19 94", + "MulF 2 1448", + "MulF 2 1496", + "MulF 2 1498", + "MulF 2 159", + "MulF 2 161", + "MulF 2 163", + "MulF 2 169", + "MulF 2 171", + "MulF 2 173", + "MulF 2 175", + "MulF 2 4", + "MulF 20 100", + "MulF 20 102", + "MulF 20 110", + "MulF 20 1445", + "MulF 20 165", + "MulF 20 167", + "MulF 20 17", + "MulF 20 175", + "MulF 20 179", + "MulF 20 18", + "MulF 20 181", + "MulF 20 19", + "MulF 20 198", + "MulF 20 20", + "MulF 20 21", + "MulF 20 214", + "MulF 20 32", + "MulF 20 38", + "MulF 20 45", + "MulF 20 6", + "MulF 20 61", + "MulF 20 84", + "MulF 20 86", + "MulF 20 88", + "MulF 20 90", + "MulF 20 92", + "MulF 20 94", + "MulF 21 100", + "MulF 21 102", + "MulF 21 110", + "MulF 21 163", + "MulF 21 165", + "MulF 21 167", + "MulF 21 169", + "MulF 21 17", + "MulF 21 171", + "MulF 21 173", + "MulF 21 175", + "MulF 21 179", + "MulF 21 18", + "MulF 21 181", + "MulF 21 19", + "MulF 21 20", + "MulF 21 204", + "MulF 21 21", + "MulF 21 214", + "MulF 21 22", + "MulF 21 32", + "MulF 21 38", + "MulF 21 45", + "MulF 21 6", + "MulF 21 84", + "MulF 21 86", + "MulF 21 88", + "MulF 21 90", + "MulF 21 92", + "MulF 21 94", + "MulF 214 100", + "MulF 214 102", + "MulF 214 110", + "MulF 214 1448", + "MulF 214 165", + "MulF 214 167", + "MulF 214 17", + "MulF 214 179", + "MulF 214 181", + "MulF 214 19", + "MulF 214 20", + "MulF 214 21", + "MulF 214 32", + "MulF 214 38", + "MulF 214 45", + "MulF 214 6", + "MulF 214 84", + "MulF 214 86", + "MulF 214 88", + "MulF 214 90", + "MulF 214 92", + "MulF 214 94", + "MulF 22 100", + "MulF 22 102", + "MulF 22 110", + "MulF 22 159", + "MulF 22 161", + "MulF 22 163", + "MulF 22 165", + "MulF 22 167", + "MulF 22 169", + "MulF 22 17", + "MulF 22 171", + "MulF 22 173", + "MulF 22 175", + "MulF 22 179", + "MulF 22 18", + "MulF 22 181", + "MulF 22 19", + "MulF 22 20", + "MulF 22 21", + "MulF 22 214", + "MulF 22 22", + "MulF 22 32", + "MulF 22 38", + "MulF 22 45", + "MulF 22 57", + "MulF 22 59", + "MulF 22 6", + "MulF 22 61", + "MulF 22 84", + "MulF 22 86", + "MulF 22 88", + "MulF 22 90", + "MulF 22 92", + "MulF 22 94", + "MulF 270 20", + "MulF 272 20", + "MulF 274 20", + "MulF 276 20", + "MulF 278 20", + "MulF 298 20", + "MulF 308 18", + "MulF 312 18", + "MulF 317 18", + "MulF 319 18", + "MulF 32 100", + "MulF 32 102", + "MulF 32 110", + "MulF 32 163", + "MulF 32 165", + "MulF 32 167", + "MulF 32 17", + "MulF 32 179", + "MulF 32 18", + "MulF 32 181", + "MulF 32 19", + "MulF 32 198", + "MulF 32 20", + "MulF 32 21", + "MulF 32 214", + "MulF 32 22", + "MulF 32 32", + "MulF 32 38", + "MulF 32 45", + "MulF 32 6", + "MulF 32 84", + "MulF 32 86", + "MulF 32 88", + "MulF 32 90", + "MulF 32 92", + "MulF 32 94", + "MulF 341 18", + "MulF 349 17", + "MulF 354 17", + "MulF 359 17", + "MulF 361 17", + "MulF 38 100", + "MulF 38 102", + "MulF 38 110", + "MulF 38 163", + "MulF 38 165", + "MulF 38 167", + "MulF 38 169", + "MulF 38 17", + "MulF 38 171", + "MulF 38 173", + "MulF 38 175", + "MulF 38 179", + "MulF 38 18", + "MulF 38 181", + "MulF 38 19", + "MulF 38 20", + "MulF 38 21", + "MulF 38 214", + "MulF 38 22", + "MulF 38 32", + "MulF 38 38", + "MulF 38 45", + "MulF 38 6", + "MulF 38 84", + "MulF 38 86", + "MulF 38 88", + "MulF 38 90", + "MulF 38 92", + "MulF 38 94", + "MulF 383 17", + "MulF 426 6", + "MulF 430 6", + "MulF 432 6", + "MulF 45 100", + "MulF 45 102", + "MulF 45 110", + "MulF 45 163", + "MulF 45 165", + "MulF 45 167", + "MulF 45 169", + "MulF 45 17", + "MulF 45 171", + "MulF 45 173", + "MulF 45 175", + "MulF 45 179", + "MulF 45 18", + "MulF 45 181", + "MulF 45 19", + "MulF 45 20", + "MulF 45 21", + "MulF 45 214", + "MulF 45 22", + "MulF 45 32", + "MulF 45 38", + "MulF 45 45", + "MulF 45 6", + "MulF 45 84", + "MulF 45 86", + "MulF 45 88", + "MulF 45 90", + "MulF 45 92", + "MulF 45 94", + "MulF 452 6", + "MulF 57 18", + "MulF 57 202", + "MulF 57 22", + "MulF 59 17", + "MulF 59 200", + "MulF 59 22", + "MulF 6 100", + "MulF 6 102", + "MulF 6 110", + "MulF 6 1412", + "MulF 6 15", + "MulF 6 159", + "MulF 6 161", + "MulF 6 165", + "MulF 6 167", + "MulF 6 169", + "MulF 6 17", + "MulF 6 179", + "MulF 6 18", + "MulF 6 181", + "MulF 6 19", + "MulF 6 20", + "MulF 6 206", + "MulF 6 21", + "MulF 6 214", + "MulF 6 22", + "MulF 6 32", + "MulF 6 38", + "MulF 6 45", + "MulF 6 6", + "MulF 6 84", + "MulF 6 86", + "MulF 6 88", + "MulF 6 90", + "MulF 6 92", + "MulF 6 94", + "MulF 61 20", + "MulF 61 206", + "MulF 61 22", + "MulF 84 100", + "MulF 84 102", + "MulF 84 110", + "MulF 84 165", + "MulF 84 167", + "MulF 84 17", + "MulF 84 179", + "MulF 84 18", + "MulF 84 181", + "MulF 84 19", + "MulF 84 20", + "MulF 84 21", + "MulF 84 214", + "MulF 84 32", + "MulF 84 38", + "MulF 84 45", + "MulF 84 6", + "MulF 84 84", + "MulF 84 86", + "MulF 84 88", + "MulF 84 90", + "MulF 84 92", + "MulF 84 94", + "MulF 86 100", + "MulF 86 102", + "MulF 86 110", + "MulF 86 165", + "MulF 86 167", + "MulF 86 17", + "MulF 86 179", + "MulF 86 18", + "MulF 86 181", + "MulF 86 19", + "MulF 86 20", + "MulF 86 21", + "MulF 86 214", + "MulF 86 32", + "MulF 86 38", + "MulF 86 45", + "MulF 86 6", + "MulF 86 84", + "MulF 86 86", + "MulF 86 88", + "MulF 86 90", + "MulF 86 92", + "MulF 86 94", + "MulF 88 100", + "MulF 88 102", + "MulF 88 110", + "MulF 88 165", + "MulF 88 167", + "MulF 88 17", + "MulF 88 179", + "MulF 88 18", + "MulF 88 181", + "MulF 88 19", + "MulF 88 20", + "MulF 88 21", + "MulF 88 214", + "MulF 88 32", + "MulF 88 38", + "MulF 88 45", + "MulF 88 6", + "MulF 88 84", + "MulF 88 86", + "MulF 88 88", + "MulF 88 90", + "MulF 88 92", + "MulF 88 94", + "MulF 90 100", + "MulF 90 102", + "MulF 90 110", + "MulF 90 165", + "MulF 90 167", + "MulF 90 17", + "MulF 90 179", + "MulF 90 18", + "MulF 90 181", + "MulF 90 19", + "MulF 90 20", + "MulF 90 21", + "MulF 90 214", + "MulF 90 32", + "MulF 90 38", + "MulF 90 45", + "MulF 90 6", + "MulF 90 84", + "MulF 90 86", + "MulF 90 88", + "MulF 90 90", + "MulF 90 92", + "MulF 90 94", + "MulF 92 100", + "MulF 92 102", + "MulF 92 110", + "MulF 92 165", + "MulF 92 167", + "MulF 92 17", + "MulF 92 179", + "MulF 92 18", + "MulF 92 181", + "MulF 92 19", + "MulF 92 20", + "MulF 92 21", + "MulF 92 214", + "MulF 92 32", + "MulF 92 38", + "MulF 92 45", + "MulF 92 6", + "MulF 92 84", + "MulF 92 86", + "MulF 92 88", + "MulF 92 90", + "MulF 92 92", + "MulF 92 94", + "MulF 94 100", + "MulF 94 102", + "MulF 94 110", + "MulF 94 165", + "MulF 94 167", + "MulF 94 17", + "MulF 94 179", + "MulF 94 18", + "MulF 94 181", + "MulF 94 19", + "MulF 94 20", + "MulF 94 21", + "MulF 94 214", + "MulF 94 32", + "MulF 94 38", + "MulF 94 45", + "MulF 94 6", + "MulF 94 84", + "MulF 94 86", + "MulF 94 88", + "MulF 94 90", + "MulF 94 92", + "MulF 94 94", + "SubF 1504 2", + "SubF 2 4", + "SubF 36 22", + "SubF 7 14", + "VarF 1" + ], + "rewrite_tree_expr_haskell": "x1", + "rewrite_tree_expr_python": "x1", + "simplify_e_expr_haskell": "x1", + "simplify_e_expr_python": "x1", + "simplify_e_param_count": 0 + }, + { + "case_id": "pagie_operon_15", + "category": "corpus", + "source": "((-0.0000022516087483) + (1.0000016689300537 * (((((51.6682472229003906 * x0) * ((-0.0001894439337775) * x0)) + 2.5324115753173828) + ((-46.3591499328613281) / (((13.0968494415283203 * x0) * (2.1884925365447998 * x0)) + 34.0089225769042969))) + (((-1351.7908935546875000) / (((17.2840843200683594 * x1) * (47.4518127441406250 * x1)) + 990.7814331054687500)) + ((0.0012052881065756 * x1) * ((-8.2380609512329102) * x1))))))", + "notes": "Large canary that still differs in extracted form, but now appears numerically equivalent under the current baseline.", + "compare_root_analysis": false, + "compare_rewrite_tree": false, + "compare_simplify_e": false, + "compare_param_count": false, + "expected_mismatch": true, + "analysis_before": { + "kind": "none", + "value": null + }, + "analysis_after": { + "kind": "none", + "value": null + }, + "after_nodes_haskell": [ + "AddF 1 38", + "AddF 38 1", + "MulF 1017 939", + "MulF 1019 939", + "MulF 1023 943", + "MulF 1025 943", + "MulF 1027 943", + "MulF 158 2", + "MulF 2 158", + "MulF 939 1017", + "MulF 939 1019", + "MulF 943 1023", + "MulF 943 1025", + "MulF 943 1027" + ], + "rewrite_tree_expr_haskell": "(-2.2516087483e-6) + (((((x0) * (x0)) + (-258.7199137768597)) + (((((x1) * (x1)) + ((165.99479114520634) / (((x1) * (x1)) + (1.2080326581103884)))) + ((162.89497489770397) / (((x0) * (x0)) + (1.186536134285651)))) * (1.0144051369822908))) * (-9.788252341175882e-3))", + "rewrite_tree_expr_python": "(-2.2516087483e-06 + ((((x0 * x0) + -258.7199137768597) + ((((x1 * x1) + (165.99479114520634 / ((x1 * x1) + 1.2080326581103884))) + (162.89497489770397 / ((x0 * x0) + 1.186536134285651))) * 1.0144051369822908)) * -0.009788252341175882))", + "simplify_e_expr_haskell": "(-9.788252341175882e-3) * (((x0) * (x0)) + ((((((x1) * (x1)) + ((165.99479114520634) / (((x1) * (x1)) + (1.2080326581103884)))) + ((162.89497489770397) / (((x0) * (x0)) + (1.186536134285651)))) * (1.0144051369822908)) + (-258.7196837451166)))", + "simplify_e_expr_python": "(-0.009788252341175882 * ((x0 * x0) + (((((x1 * x1) + (165.99479114520634 / ((x1 * x1) + 1.2080326581103884))) + (162.89497489770397 / ((x0 * x0) + 1.186536134285651))) * 1.0144051369822908) + -258.7196837451166)))", + "simplify_e_param_count": 7 + } + ] +} diff --git a/python/egglog/exp/param_eq/inspect_case.py b/python/egglog/exp/param_eq/inspect_case.py new file mode 100644 index 00000000..ba4a4b66 --- /dev/null +++ b/python/egglog/exp/param_eq/inspect_case.py @@ -0,0 +1,158 @@ +"""Inspect one retained param-eq case through the Egglog replication pipeline.""" + +from __future__ import annotations + +import argparse +import json +import time +from collections import Counter + +from egglog import EGraph, f64 +from egglog.deconstruct import get_callable_args +from egglog.egraph import Ruleset, UnstableCombinedRuleset +from egglog.exp.param_eq import pipeline as param_eq_hegg +from egglog.exp.param_eq.paths import GOLDEN_PATH + +GOLDEN_FIXTURE = GOLDEN_PATH + + +def _load_case_source(case_id: str | None, expr: str | None) -> tuple[str, str]: + if expr is not None: + return expr, expr + if case_id is None: + msg = "Either --case-id or --expr is required" + raise ValueError(msg) + cases = json.loads(GOLDEN_FIXTURE.read_text())["cases"] + case = next(case for case in cases if case["case_id"] == case_id) + return str(case["source"]), case_id + + +def _schedule_for_variant(variant: str): + basic_rules = { + "add_comm": param_eq_hegg.basic_add_comm_rules, + "mul_comm": param_eq_hegg.basic_mul_comm_rules, + "add_assoc": param_eq_hegg.basic_add_assoc_rules, + "mul_assoc": param_eq_hegg.basic_mul_assoc_rules, + "product_regroup": param_eq_hegg.basic_product_regroup_rules, + "other": param_eq_hegg.basic_other_rules, + } + + if variant.startswith("baseline_without_"): + disabled = variant.removeprefix("baseline_without_") + selected_basic: Ruleset | UnstableCombinedRuleset | None = None + for name, ruleset in basic_rules.items(): + if name == disabled: + continue + selected_basic = ruleset if selected_basic is None else selected_basic | ruleset + if selected_basic is None: + msg = f"No rewrite rules left after disabling {disabled}" + raise ValueError(msg) + rewrite_schedule = param_eq_hegg.run( + selected_basic | param_eq_hegg.fun_rules, scheduler=param_eq_hegg.scheduler + ) + analysis_round = param_eq_hegg.analysis_schedule.saturate() + rewrite_schedule + return param_eq_hegg.scheduler.scope(analysis_round.saturate(stop_when_no_updates=True)) + if variant == "baseline": + return param_eq_hegg.total_ruleset + if variant == "baseline_with_add_comm": + rewrite_schedule = param_eq_hegg.run( + param_eq_hegg.basic_rules | param_eq_hegg.fun_rules, scheduler=param_eq_hegg.scheduler + ) + analysis_round = param_eq_hegg.analysis_schedule.saturate() + rewrite_schedule + return param_eq_hegg.scheduler.scope(analysis_round.saturate(stop_when_no_updates=True)) + if variant == "single_pair": + return param_eq_hegg.analysis_rewrite_round + if variant == "two_rounds": + return param_eq_hegg.scheduler.scope( + param_eq_hegg.analysis_rewrite_round + param_eq_hegg.analysis_rewrite_round + ) + msg = f"Unsupported variant: {variant}" + raise ValueError(msg) + + +def _render_optional(value: param_eq_hegg.OptionalF64) -> dict[str, float | str | None]: + match get_callable_args(value, param_eq_hegg.OptionalF64.some): + case (inner,) if isinstance(inner, f64): + return {"kind": "some", "value": float(inner.value)} + case _: + return {"kind": "none", "value": None} + + +def _top_mapping(mapping: dict[str, object], limit: int = 10) -> list[tuple[str, float]]: + normalized: list[tuple[str, float]] = [] + for key, value in mapping.items(): + if hasattr(value, "total_seconds"): + normalized.append((key, float(value.total_seconds()))) + elif isinstance(value, int | float): + normalized.append((key, float(value))) + else: + msg = f"Unsupported run-report value for {key}: {value!r}" + raise TypeError(msg) + normalized.sort(key=lambda item: item[1], reverse=True) + return normalized[:limit] + + +def main() -> None: + parser = argparse.ArgumentParser(description=__doc__) + parser.add_argument("--case-id") + parser.add_argument("--expr") + parser.add_argument( + "--variant", + choices=( + "baseline", + "baseline_with_add_comm", + "single_pair", + "two_rounds", + "baseline_without_add_comm", + "baseline_without_mul_comm", + "baseline_without_add_assoc", + "baseline_without_mul_assoc", + "baseline_without_product_regroup", + ), + default="baseline", + ) + args = parser.parse_args() + + source, label = _load_case_source(args.case_id, args.expr) + expr = param_eq_hegg.parse_expression(source) + schedule = _schedule_for_variant(args.variant) + + egraph = EGraph() + egraph.register(expr) + + start = time.perf_counter() + run_report = egraph.run(schedule) + elapsed = time.perf_counter() - start + extracted, cost = egraph.extract(expr, include_cost=True) + extracted_analysis = egraph.extract(param_eq_hegg.const_value(expr)) + total_size = sum(size for _, size in egraph.all_function_sizes()) + payload = json.loads(egraph._serialize().to_json()) + ops = Counter(node["op"] for node in payload.get("nodes", {}).values()) + + print( + json.dumps( + { + "case": label, + "variant": args.variant, + "elapsed_sec": elapsed, + "updated": bool(run_report.updated), + "can_stop": bool(getattr(run_report, "can_stop", False)), + "rendered": param_eq_hegg.render_num(extracted), + "cost": int(cost), + "analysis": _render_optional(extracted_analysis), + "total_size": total_size, + "node_count": len(payload.get("nodes", {})), + "eclass_count": len(payload.get("class_data", {})), + "top_ops": ops.most_common(10), + "top_rule_matches": _top_mapping(getattr(run_report, "num_matches_per_rule", {})), + "top_rule_times": _top_mapping(getattr(run_report, "search_and_apply_time_per_rule", {})), + "top_ruleset_times": _top_mapping(getattr(run_report, "search_and_apply_time_per_ruleset", {})), + }, + indent=2, + sort_keys=True, + ) + ) + + +if __name__ == "__main__": + main() diff --git a/python/egglog/exp/param_eq/normalize_archives.py b/python/egglog/exp/param_eq/normalize_archives.py new file mode 100644 index 00000000..17a59cfa --- /dev/null +++ b/python/egglog/exp/param_eq/normalize_archives.py @@ -0,0 +1,158 @@ +"""Normalize extracted param-eq-haskell result files into checked-in CSV artifacts.""" + +from __future__ import annotations + +import argparse +import csv +from collections import defaultdict +from pathlib import Path + +from egglog.exp.param_eq.paths import ARTIFACT_DIR, param_eq_data_dir + +DATASETS = ("pagie", "kotanchek") +DROP_INDEXES: dict[str, set[int]] = {"pagie": {16, 162}, "kotanchek": {1}} +ALGORITHM_RENAMES = {"SRjl": "PySR", "GOMEA": "GP-GOMEA"} +RUNTIME_PATH = Path("runtimes") + + +def _parse_args() -> argparse.Namespace: + parser = argparse.ArgumentParser(description=__doc__) + parser.add_argument( + "--source-dir", + type=Path, + default=param_eq_data_dir(), + help="Path to the extracted param-eq-haskell checkout", + ) + parser.add_argument( + "--output-dir", + type=Path, + default=ARTIFACT_DIR, + help="Directory to write normalized artifacts into", + ) + args = parser.parse_args() + args.source_dir = args.source_dir.resolve() + return args + + +def _read_text(source_dir: Path, relative_path: Path) -> str: + path = source_dir / relative_path + return path.read_text(encoding="utf-8", errors="replace") + + +def _read_csv_text(text: str) -> list[dict[str, str]]: + return list(csv.DictReader(text.splitlines())) + + +def _clean_algorithm(name: str) -> str: + return ALGORITHM_RENAMES.get(name, name) + + +def _paper_row_status(dataset: str, raw_index: int, raw_algorithm: str, n_rank: str) -> tuple[bool, str]: + if raw_algorithm == "FEAT": + return False, "drop_feat" + if n_rank == "" or n_rank.lower() == "nan": + return False, "missing_rank" + if raw_index in DROP_INDEXES[dataset]: + return False, "paper_manual_drop" + return True, "kept" + + +def _load_expression_lines(source_dir: Path, relative_path: Path) -> list[str]: + return [line.strip() for line in _read_text(source_dir, relative_path).splitlines() if line.strip()] + + +def _normalize_haskell_rows(source_dir: Path) -> list[dict[str, str]]: + rows: list[dict[str, str]] = [] + for dataset in DATASETS: + table_path = Path("results") / f"{dataset}_table_counts.csv" + raw_rows = _read_csv_text(_read_text(source_dir, table_path)) + exprs_by_algorithm = { + path_algorithm: _load_expression_lines( + source_dir, + Path("results") / "exprs" / f"{path_algorithm}_exprs_{dataset}", + ) + for path_algorithm in ("Bingo", "EPLEX", "FEAT", "GOMEA", "Operon", "SBP", "SRjl") + } + sympy_by_algorithm = { + path_algorithm: _load_expression_lines( + source_dir, + Path("results") / "exprs_simpl" / f"{path_algorithm}_exprs_{dataset}", + ) + for path_algorithm in ("Bingo", "EPLEX", "FEAT", "GOMEA", "Operon", "SBP", "SRjl") + } + algo_counts: defaultdict[str, int] = defaultdict(int) + for raw_index, raw_row in enumerate(raw_rows): + raw_algorithm = raw_row["algorithm"] + algo_counts[raw_algorithm] += 1 + algo_row = algo_counts[raw_algorithm] + exprs = exprs_by_algorithm[raw_algorithm] + sympy_exprs = sympy_by_algorithm[raw_algorithm] + is_paper_row, drop_reason = _paper_row_status(dataset, raw_index, raw_algorithm, raw_row["n_rank"]) + row = { + "dataset": dataset, + "raw_index": str(raw_index), + "algorithm_raw": raw_algorithm, + "algorithm": _clean_algorithm(raw_algorithm), + "algo_row": str(algo_row), + "is_paper_row": "1" if is_paper_row else "0", + "drop_reason": drop_reason, + "original_expr": exprs[algo_row - 1], + "sympy_expr": sympy_exprs[algo_row - 1], + } + for key, value in raw_row.items(): + if key == "": + row["raw_csv_index"] = value + else: + row[key] = value + rows.append(row) + return rows + + +def _to_runtime_multiplier(unit: str) -> float: + return {"ms": 1.0, "μs": 0.001, "ns": 1e-6, "s": 1000.0}[unit] + + +def _normalize_runtime_rows(source_dir: Path) -> list[dict[str, str]]: + lines = _read_text(source_dir, RUNTIME_PATH).splitlines() + benchmark_lines = [line for line in lines if line.startswith("benchmarking ")] + time_lines = [line for line in lines if line.startswith("time")] + rows: list[dict[str, str]] = [] + for benchmark_line, time_line in zip(benchmark_lines, time_lines, strict=True): + benchmark_name = benchmark_line.removeprefix("benchmarking ").strip() + node_count = int(benchmark_name.split("/")[-1]) + _, numeric, unit, *_ = time_line.split() + runtime_ms = float(numeric) * _to_runtime_multiplier(unit) + rows.append( + { + "benchmark_name": benchmark_name, + "node_count": str(node_count), + "runtime_ms": f"{runtime_ms:.9f}", + } + ) + return rows + + +def _write_csv(path: Path, rows: list[dict[str, str]]) -> None: + if not rows: + msg = f"No rows available for {path.name}" + raise ValueError(msg) + path.parent.mkdir(parents=True, exist_ok=True) + with path.open("w", newline="", encoding="utf-8") as handle: + writer = csv.DictWriter(handle, fieldnames=list(rows[0])) + writer.writeheader() + writer.writerows(rows) + + +def main() -> None: + args = _parse_args() + args.output_dir.mkdir(parents=True, exist_ok=True) + + haskell_rows = _normalize_haskell_rows(args.source_dir) + runtime_rows = _normalize_runtime_rows(args.source_dir) + + _write_csv(args.output_dir / "haskell_paper_rows.csv", haskell_rows) + _write_csv(args.output_dir / "pagie_runtime_scatter.csv", runtime_rows) + + +if __name__ == "__main__": + main() diff --git a/python/egglog/exp/param_eq/paths.py b/python/egglog/exp/param_eq/paths.py new file mode 100644 index 00000000..2448ff83 --- /dev/null +++ b/python/egglog/exp/param_eq/paths.py @@ -0,0 +1,30 @@ +"""Shared path helpers for the retained param-eq replication package.""" + +from __future__ import annotations + +import os +import shutil +from pathlib import Path + +PARAM_EQ_DATA_DIR_ENV = "EGGLOG_PARAM_EQ_DATA_DIR" +PARAM_EQ_DIR = Path(__file__).resolve().parent +REPO_ROOT = PARAM_EQ_DIR.parents[3] +ARTIFACT_DIR = PARAM_EQ_DIR / "artifacts" +GOLDEN_PATH = PARAM_EQ_DIR / "haskell_golden.json" + + +def default_data_dir() -> Path: + return (REPO_ROOT.parent / "param-eq-haskell").resolve() + + +def param_eq_data_dir() -> Path: + configured = os.environ.get(PARAM_EQ_DATA_DIR_ENV) + return Path(configured).expanduser().resolve() if configured else default_data_dir() + + +def llvm_bin_dir() -> Path | None: + for tool in ("opt", "llvm-config"): + resolved = shutil.which(tool) + if resolved is not None: + return Path(resolved).resolve().parent + return None diff --git a/python/egglog/exp/param_eq/pipeline.py b/python/egglog/exp/param_eq/pipeline.py new file mode 100644 index 00000000..1ea8d9af --- /dev/null +++ b/python/egglog/exp/param_eq/pipeline.py @@ -0,0 +1,1394 @@ +# mypy: disable-error-code="empty-body" + +""" +Helpers for reproducing the paper-era param-eq EqSat pipeline in egglog. + +The archived source of truth is `param-eq-haskell/src/FixTree.hs`, together +with the reporting code in `param-eq-haskell/src/Main.hs`. + +This module mirrors that paper experiment harness only. + +Design notes for future agents: + +- The paper-facing Haskell source is `param-eq-haskell/src/FixTree.hs`. +- That Haskell implementation keeps analysis inside hegg rebuild; this Python + file has to approximate that with explicit Egglog rulesets plus a schedule. +- Numeric literals stay as constants in the EqSat language, matching + `FixTree.toFixTree (Const x) = ConstF x`. The paper only turns constants into + fitted parameters later for reporting, via + `recountParams . replaceConstsWithParams` in `Main.hs`. +- Mixed classes are intentional and paper-faithful. A class may contain both a + constant representative and a non-constant representative while its analysis + still says "not constant". Only classes whose analysis is definitively + constant get pruned to leaf nodes. + +Quick symbol map back to the Haskell file: + +- `joinA` -> `join_const_value` +- `evalConstant` -> `const_seed_rules | const_propagation_rules` +- `modifyA` -> `const_prune_rules` +- `rewritesBasic` -> `_basic_rewrites` +- `rewritesFun` -> `_fun_rewrites` +- `rewriteTree` -> `_run_single_pass` +- `simplifyE` -> `run_paper_pipeline` +""" + +from __future__ import annotations + +import argparse +import ast +import json +import math +import time +from collections.abc import Iterable, Mapping +from dataclasses import dataclass +from typing import ClassVar, Literal, TypeAlias + +import egglog +from egglog import * +from egglog.deconstruct import get_callable_args +from egglog.egraph import FactLike + +__all__ = [ + "Mode", + "Num", + "NumLike", + "PaperPipelineReport", + "count_nodes", + "count_params", + "parse_expression", + "render_num", + "run_paper_pipeline", +] + + +MAX_PASSES = 2 +BACKOFF_MATCH_LIMIT = 2500 +BACKOFF_BAN_LENGTH = 30 +CONST_MERGE_TOLERANCE = 1e-6 + +Mode = Literal["egglog-baseline"] + + +# Language and ruleset declarations +language_rules = ruleset(name="param_eq_hegg_lang") +const_merge_rules = ruleset(name="param_eq_hegg_const_merge") +const_seed_rules = ruleset(name="param_eq_hegg_const_seed") +const_propagation_rules = ruleset(name="param_eq_hegg_const_propagation") +const_prune_rules = ruleset(name="param_eq_hegg_const_prune") +basic_add_comm_rules = ruleset(name="param_eq_hegg_basic_add_comm") +basic_mul_comm_rules = ruleset(name="param_eq_hegg_basic_mul_comm") +basic_add_assoc_rules = ruleset(name="param_eq_hegg_basic_add_assoc") +basic_mul_assoc_rules = ruleset(name="param_eq_hegg_basic_mul_assoc") +basic_mul_div_rules = ruleset(name="param_eq_hegg_basic_mul_div") +basic_product_regroup_rules = ruleset(name="param_eq_hegg_basic_product_regroup") +basic_other_rules = ruleset(name="param_eq_hegg_basic_other") +fun_rules = ruleset(name="param_eq_hegg_fun") + + +class OptionalF64(Expr, ruleset=language_rules): + """ + Explicit stand-in for Haskell's `Maybe Double` analysis domain. + + `none` corresponds to `Nothing`, `some(x)` corresponds to `Just x`. + """ + + none: ClassVar[OptionalF64] + + @classmethod + def some(cls, value: f64Like) -> OptionalF64: ... + + +class Num(Expr, ruleset=language_rules): + """ + Paper EqSat language subset. + + This is deliberately closer to `FixTree`'s `SRTreeF` than to the broader + experimental translations that were removed during cleanup. The paper + corpus only needs constants, + variables, arithmetic, and a small unary-function set. + """ + + @method(cost=5) + def __init__(self, value: f64Like) -> None: ... + + __match_args__ = ("value",) + + @method(preserve=True) # type: ignore[prop-decorator] + @property + def value(self) -> float: + match get_callable_args(self, Num): + case (f64(value),): + return value + raise ExprValueError(self, "Num") + + @method(cost=1) + @classmethod + def var(cls, name: StringLike) -> Num: ... + + @method(cost=1) + def __add__(self, other: NumLike) -> Num: ... + + @method(cost=1) + def __sub__(self, other: NumLike) -> Num: ... + + @method(cost=1) + def __mul__(self, other: NumLike) -> Num: ... + + @method(cost=1) + def __truediv__(self, other: NumLike) -> Num: ... + + @method(cost=1) + def __pow__(self, other: NumLike) -> Num: ... + + @method(cost=1) + def exp(self) -> Num: ... + + @method(cost=1) + def log(self) -> Num: ... + + @method(cost=1) + def sqrt(self) -> Num: ... + + @method(cost=1) + def __abs__(self) -> Num: ... + + def __radd__(self, other: NumLike) -> Num: ... + + def __rsub__(self, other: NumLike) -> Num: ... + + def __rmul__(self, other: NumLike) -> Num: ... + + def __rtruediv__(self, other: NumLike) -> Num: ... + + def __rpow__(self, other: NumLike) -> Num: ... + + +NumLike: TypeAlias = Num | StringLike | f64Like | i64Like + +converter(f64, Num, Num) +converter(i64, Num, lambda value: Num(f64.from_i64(value))) +converter(String, Num, Num.var) + + +# Analysis domain and merge +@function +def join_const_value(old: OptionalF64, new: OptionalF64) -> OptionalF64: ... + + +@function( + merge=lambda old, new: join_const_value(old, new), +) +def const_value(num: Num) -> OptionalF64: ... + + +# Surface syntax helpers +# Convenience wrappers keep the parser and rewrites close to the Haskell +# surface syntax while still using the operator-overloaded Python DSL. + + +def exp(x: NumLike) -> Num: + return convert(x, Num).exp() + + +def log(x: NumLike) -> Num: + return convert(x, Num).log() + + +def sqrt(x: NumLike) -> Num: + return convert(x, Num).sqrt() + + +def neg(x: NumLike) -> Num: + return Num(-1.0) * convert(x, Num) + + +def square(x: NumLike) -> Num: + value = convert(x, Num) + return value**2 + + +def cube(x: NumLike) -> Num: + value = convert(x, Num) + return value**3 + + +def plog(x: NumLike) -> Num: + return log(abs(convert(x, Num))) + + +def _render_float(value: float) -> str: + if value == 0.0: + return "0.0" + if value.is_integer(): + return f"{value:.1f}" + return repr(value) + + +def _safe_pow(base: float, exponent: float) -> float | None: + if base == 0.0 and exponent < 0.0: + return None + if base < 0.0 and not exponent.is_integer(): + return None + try: + value = base**exponent + except (OverflowError, ValueError): + return None + if isinstance(value, complex): + return None + value = float(value) + return value if math.isfinite(value) else None + + +def _combine_binary(lhs: float, rhs: float, op: Literal["add", "sub", "mul", "div", "pow"]) -> float | None: + if op == "add": + value = lhs + rhs + elif op == "sub": + value = lhs - rhs + elif op == "mul": + value = lhs * rhs + elif op == "div": + if rhs == 0.0: + return None + value = lhs / rhs + else: + return _safe_pow(lhs, rhs) + return value if math.isfinite(value) else None + + +# Analysis algebra +@const_merge_rules.register +def _const_merge( + merged: OptionalF64, + other: OptionalF64, + a: f64, + b: f64, +) -> Iterable[RewriteOrRule]: + """ + Mirror `FixTree.joinA` on `Maybe Double`. + + The Haskell behavior is: + - `Nothing` dominates any merge + - `Just a` with `Just b` is allowed only when the constants agree up to the + tolerance used in the paper code + - differing constants are an invariant violation + + This is the key reason mixed classes remain possible: if one representative + analyzes to `none` and another to `some(a)`, the class analysis stays + `none`. + """ + yield rewrite(join_const_value(OptionalF64.none, other)).to(OptionalF64.none) + yield rewrite(join_const_value(other, OptionalF64.none)).to(OptionalF64.none) + yield rewrite(join_const_value(OptionalF64.some(a), OptionalF64.some(a))).to(OptionalF64.some(a)) + yield rewrite(join_const_value(OptionalF64.some(a), OptionalF64.some(b))).to( + OptionalF64.some(a), + eq(a).to(b), + ) + yield rewrite(join_const_value(OptionalF64.some(a), OptionalF64.some(b))).to( + OptionalF64.some(a), + abs(a - b) <= CONST_MERGE_TOLERANCE, + ) + yield rule( + eq(merged).to(join_const_value(OptionalF64.some(a), OptionalF64.some(b))), + abs(a - b) > CONST_MERGE_TOLERANCE, + ).then(panic("Merged different constant values")) + + +@const_seed_rules.register +def _const_seed( + num: Num, + a: f64, + s: String, +) -> Iterable[RewriteOrRule]: + """ + Seed the explicit analysis with leaf facts. + + This corresponds to the leaf cases in `FixTree.evalConstant`: + - `ConstF x -> Just x` + - `VarF _ -> Nothing` + + The paper harness's benchmark expressions do not materialize `ParamF` + before EqSat, so there is no separate parameter leaf here. + """ + yield rule(eq(num).to(Num(a))).then(set_(const_value(num)).to(OptionalF64.some(a))) + yield rule(eq(num).to(Num.var(s))).then(set_(const_value(num)).to(OptionalF64.none)) + + +@const_propagation_rules.register +def _const_propagation( + num: Num, + x: Num, + y: Num, + a: f64, + b: f64, +) -> Iterable[RewriteOrRule]: + """ + Explicit approximation of `FixTree.makeA` + `evalConstant`. + + In Haskell this logic is one algebra over `SRTreeF (Maybe Double)` and runs + as part of rebuild. In Egglog we spell it as rules: + - if any required child is `none`, the parent becomes `none` + - if all required children are `some`, compute the folded constant + - when a folded constant exists, union the class with `Num(constant)` + """ + yield rule(eq(num).to(x + y), const_value(x) == OptionalF64.none).then(set_(const_value(num)).to(OptionalF64.none)) + yield rule(eq(num).to(x + y), const_value(y) == OptionalF64.none).then(set_(const_value(num)).to(OptionalF64.none)) + yield rule(eq(num).to(x + y), const_value(x) == OptionalF64.some(a), const_value(y) == OptionalF64.some(b)).then( + set_(const_value(num)).to(OptionalF64.some(a + b)), + union(num).with_(Num(a + b)), + ) + yield rule(eq(num).to(x - y), const_value(x) == OptionalF64.none).then(set_(const_value(num)).to(OptionalF64.none)) + yield rule(eq(num).to(x - y), const_value(y) == OptionalF64.none).then(set_(const_value(num)).to(OptionalF64.none)) + yield rule(eq(num).to(x - y), const_value(x) == OptionalF64.some(a), const_value(y) == OptionalF64.some(b)).then( + set_(const_value(num)).to(OptionalF64.some(a - b)), + union(num).with_(Num(a - b)), + ) + yield rule(eq(num).to(x * y), const_value(x) == OptionalF64.none).then(set_(const_value(num)).to(OptionalF64.none)) + yield rule(eq(num).to(x * y), const_value(y) == OptionalF64.none).then(set_(const_value(num)).to(OptionalF64.none)) + yield rule(eq(num).to(x * y), const_value(x) == OptionalF64.some(a), const_value(y) == OptionalF64.some(b)).then( + set_(const_value(num)).to(OptionalF64.some(a * b)), + union(num).with_(Num(a * b)), + ) + yield rule(eq(num).to(x / y), const_value(x) == OptionalF64.none).then(set_(const_value(num)).to(OptionalF64.none)) + yield rule(eq(num).to(x / y), const_value(y) == OptionalF64.none).then(set_(const_value(num)).to(OptionalF64.none)) + yield rule( + eq(num).to(x / y), + const_value(x) == OptionalF64.some(a), + const_value(y) == OptionalF64.some(b), + eq(b).to(f64(0.0)), + ).then( + set_(const_value(num)).to(OptionalF64.none), + ) + yield rule( + eq(num).to(x / y), + const_value(x) == OptionalF64.some(a), + const_value(y) == OptionalF64.some(b), + b > 0.0, + ).then( + set_(const_value(num)).to(OptionalF64.some(a / b)), + union(num).with_(Num(a / b)), + ) + yield rule( + eq(num).to(x / y), + const_value(x) == OptionalF64.some(a), + const_value(y) == OptionalF64.some(b), + b < 0.0, + ).then( + set_(const_value(num)).to(OptionalF64.some(a / b)), + union(num).with_(Num(a / b)), + ) + yield rule(eq(num).to(x**y), const_value(x) == OptionalF64.none).then(set_(const_value(num)).to(OptionalF64.none)) + yield rule(eq(num).to(x**y), const_value(y) == OptionalF64.none).then(set_(const_value(num)).to(OptionalF64.none)) + yield rule( + eq(num).to(x**y), + const_value(x) == OptionalF64.some(a), + const_value(y) == OptionalF64.some(b), + a < 0.0, + eq(f64.from_i64(b.to_i64())).to(b), + ).then( + set_(const_value(num)).to(OptionalF64.some(a**b)), + union(num).with_(Num(a**b)), + ) + yield rule( + eq(num).to(x**y), + const_value(x) == OptionalF64.some(a), + const_value(y) == OptionalF64.some(b), + a < 0.0, + ne(f64.from_i64(b.to_i64())).to(b), + ).then( + set_(const_value(num)).to(OptionalF64.none), + ) + yield rule( + eq(num).to(x**y), + const_value(x) == OptionalF64.some(a), + const_value(y) == OptionalF64.some(b), + eq(a).to(f64(0.0)), + b < 0.0, + ).then( + set_(const_value(num)).to(OptionalF64.none), + ) + yield rule( + eq(num).to(x**y), + const_value(x) == OptionalF64.some(a), + const_value(y) == OptionalF64.some(b), + eq(a).to(f64(0.0)), + b >= 0.0, + ).then( + set_(const_value(num)).to(OptionalF64.some(a**b)), + union(num).with_(Num(a**b)), + ) + yield rule( + eq(num).to(x**y), const_value(x) == OptionalF64.some(a), const_value(y) == OptionalF64.some(b), a > 0.0 + ).then( + set_(const_value(num)).to(OptionalF64.some(a**b)), + union(num).with_(Num(a**b)), + ) + yield rule(eq(num).to(exp(x)), const_value(x) == OptionalF64.none).then(set_(const_value(num)).to(OptionalF64.none)) + yield rule(eq(num).to(exp(x)), const_value(x) == OptionalF64.some(a)).then( + set_(const_value(num)).to(OptionalF64.some(a.exp())), + union(num).with_(Num(a.exp())), + ) + yield rule(eq(num).to(log(x)), const_value(x) == OptionalF64.none).then(set_(const_value(num)).to(OptionalF64.none)) + yield rule(eq(num).to(log(x)), const_value(x) == OptionalF64.some(a), a <= 0.0).then( + set_(const_value(num)).to(OptionalF64.none), + ) + yield rule(eq(num).to(log(x)), const_value(x) == OptionalF64.some(a), a > 0.0).then( + set_(const_value(num)).to(OptionalF64.some(a.log())), + union(num).with_(Num(a.log())), + ) + yield rule(eq(num).to(sqrt(x)), const_value(x) == OptionalF64.none).then( + set_(const_value(num)).to(OptionalF64.none) + ) + yield rule(eq(num).to(sqrt(x)), const_value(x) == OptionalF64.some(a), a < 0.0).then( + set_(const_value(num)).to(OptionalF64.none), + ) + yield rule(eq(num).to(sqrt(x)), const_value(x) == OptionalF64.some(a), a >= 0.0).then( + set_(const_value(num)).to(OptionalF64.some(a.sqrt())), + union(num).with_(Num(a.sqrt())), + ) + yield rule(eq(num).to(abs(x)), const_value(x) == OptionalF64.none).then(set_(const_value(num)).to(OptionalF64.none)) + yield rule(eq(num).to(abs(x)), const_value(x) == OptionalF64.some(a)).then( + set_(const_value(num)).to(OptionalF64.some(abs(a))), + union(num).with_(Num(abs(a))), + ) + + +# Guard helpers +GuardConditions: TypeAlias = tuple[FactLike, ...] +GuardCases: TypeAlias = tuple[GuardConditions, ...] + + +def is_const(num: Num, value: f64) -> GuardConditions: + return (const_value(num) == OptionalF64.some(value),) + + +def is_not_const(num: Num) -> GuardConditions: + return (const_value(num) == OptionalF64.none,) + + +def _is_nonnegative_const(num: Num, value: f64) -> GuardConditions: + return (*is_const(num, value), value >= 0.0) + + +def _is_positive_const(num: Num, value: f64) -> GuardConditions: + return (*is_const(num, value), value > 0.0) + + +def is_negative(num: Num, value: f64) -> GuardConditions: + return (*is_const(num, value), value < 0.0) + + +def is_not_zero(num: Num, value: f64) -> GuardCases: + return ( + is_not_const(num), + _is_positive_const(num, value), + is_negative(num, value), + ) + + +def is_not_neg_consts(left: Num, right: Num, left_value: f64, right_value: f64) -> GuardCases: + return ( + _is_nonnegative_const(left, left_value), + _is_nonnegative_const(right, right_value), + ) + + +# `rewritesBasic` +@const_prune_rules.register +def _const_prune( + num: Num, + x: Num, + y: Num, + a: f64, +) -> Iterable[RewriteOrRule]: + """ + Approximate `FixTree.modifyA`. + + Haskell does two things once an e-class analysis becomes `Just d`: + - inserts the constant representative `ConstF d` + - prunes the class down to leaf e-nodes + + Egglog cannot filter a class's node set directly, so we approximate that by + deleting composite representatives that are already known constant. This is + intentionally weaker than the hegg implementation, but it serves the same + purpose: keep truly constant classes from carrying around redundant call + nodes. + """ + yield rule(eq(num).to(x + y), const_value(num) == OptionalF64.some(a)).then( + union(num).with_(Num(a)), + delete(x + y), + ) + yield rule(eq(num).to(x - y), const_value(num) == OptionalF64.some(a)).then( + union(num).with_(Num(a)), + delete(x - y), + ) + yield rule(eq(num).to(x * y), const_value(num) == OptionalF64.some(a)).then( + union(num).with_(Num(a)), + delete(x * y), + ) + yield rule(eq(num).to(x / y), const_value(num) == OptionalF64.some(a)).then( + union(num).with_(Num(a)), + delete(x / y), + ) + yield rule(eq(num).to(x**y), const_value(num) == OptionalF64.some(a)).then( + union(num).with_(Num(a)), + delete(x**y), + ) + yield rule(eq(num).to(exp(x)), const_value(num) == OptionalF64.some(a)).then( + union(num).with_(Num(a)), + delete(exp(x)), + ) + yield rule(eq(num).to(log(x)), const_value(num) == OptionalF64.some(a)).then( + union(num).with_(Num(a)), + delete(log(x)), + ) + yield rule(eq(num).to(sqrt(x)), const_value(num) == OptionalF64.some(a)).then( + union(num).with_(Num(a)), + delete(sqrt(x)), + ) + yield rule(eq(num).to(abs(x)), const_value(num) == OptionalF64.some(a)).then( + union(num).with_(Num(a)), + delete(abs(x)), + ) + + +@basic_add_comm_rules.register +def _basic_add_comm(x: Num, y: Num) -> Iterable[RewriteOrRule]: + yield rewrite(x + y).to(y + x) + + +@basic_mul_comm_rules.register +def _basic_mul_comm(x: Num, y: Num) -> Iterable[RewriteOrRule]: + yield rewrite(x * y).to(y * x) + + +@basic_add_assoc_rules.register +def _basic_add_assoc(x: Num, y: Num, z: Num) -> Iterable[RewriteOrRule]: + yield rewrite(x + (y + z)).to((x + y) + z) + + +@basic_mul_assoc_rules.register +def _basic_mul_assoc(x: Num, y: Num, z: Num) -> Iterable[RewriteOrRule]: + yield rewrite(x * (y * z)).to((x * y) * z) + + +@basic_mul_div_rules.register +def _basic_mul_div(x: Num, y: Num, z: Num) -> Iterable[RewriteOrRule]: + yield rewrite(x * (y / z)).to((x * y) / z) + yield rewrite((x * y) / z).to(x * (y / z)) + + +@basic_product_regroup_rules.register +def _basic_product_regroup(a: Num, b: Num, x: Num, y: Num, ca: f64, cb: f64) -> Iterable[RewriteOrRule]: + yield rewrite((a * x) * (b * y)).to( + (a * b) * (x * y), + *is_const(a, ca), + *is_const(b, cb), + *is_not_const(x), + *is_not_const(y), + ) + + +@basic_other_rules.register +def _basic_rewrites( + x: Num, + y: Num, + z: Num, + a: Num, + b: Num, + c: Num, + d: Num, + ca: f64, + cb: f64, + cc: f64, + cd: f64, + e: f64, +) -> Iterable[RewriteOrRule]: + """ + Translation of `FixTree.rewritesBasic`. + + Guard style differs from Haskell only where Egglog soundness requires it: + we avoid `!= none`-style class tests and instead match explicit + `const_value(...) == some(...)` or `== none` cases. + """ + yield rewrite(a * x + b).to( + a * (x + (b / a)), + *is_const(a, ca), + *is_const(b, cb), + *is_not_const(x), + ) + yield rewrite(a * x - b).to( + a * (x - (b / a)), + *is_const(a, ca), + *is_const(b, cb), + *is_not_const(x), + ) + yield rewrite(b - (a * x)).to( + a * ((b / a) - x), + *is_const(a, ca), + *is_const(b, cb), + *is_not_const(x), + ) + yield rewrite(a * x + (b * y)).to( + a * (x + ((b / a) * y)), + *is_const(a, ca), + *is_const(b, cb), + *is_not_const(x), + *is_not_const(y), + ) + yield rewrite(a * x - (b * y)).to( + a * (x - ((b / a) * y)), + *is_const(a, ca), + *is_const(b, cb), + *is_not_const(x), + *is_not_const(y), + ) + yield rewrite(a * x + (b / y)).to( + a * (x + ((b / a) / y)), + *is_const(a, ca), + *is_const(b, cb), + *is_not_const(x), + *is_not_const(y), + ) + yield rewrite(a * x - (b / y)).to( + a * (x - ((b / a) / y)), + *is_const(a, ca), + *is_const(b, cb), + *is_not_const(x), + *is_not_const(y), + ) + yield rewrite(a / (b * x)).to( + (a / b) / x, + *is_const(a, ca), + *is_const(b, cb), + *is_not_const(x), + ) + yield rewrite(x / (b * y)).to( + (Num(1.0) / b) * x / y, + *is_const(b, cb), + *is_not_const(x), + *is_not_const(y), + ) + yield rewrite((x / a) + b).to( + (x + (b * a)) / a, + *is_const(a, ca), + *is_const(b, cb), + *is_not_const(x), + ) + yield rewrite((x / a) - b).to( + (x - (b * a)) / a, + *is_const(a, ca), + *is_const(b, cb), + *is_not_const(x), + ) + yield rewrite(b - (x / a)).to( + ((b * a) - x) / a, + *is_const(a, ca), + *is_const(b, cb), + *is_not_const(x), + ) + yield rewrite((x / a) + (b * y)).to( + (x + ((b * a) * y)) / a, + *is_const(a, ca), + *is_const(b, cb), + *is_not_const(x), + *is_not_const(y), + ) + yield rewrite((x / a) + (y / b)).to( + (x + (y / (b * a))) / a, + *is_const(a, ca), + *is_const(b, cb), + *is_not_const(x), + *is_not_const(y), + ) + yield rewrite((x / a) - (b * y)).to( + (x - ((b * a) * y)) / a, + *is_const(a, ca), + *is_const(b, cb), + *is_not_const(x), + *is_not_const(y), + ) + yield rewrite((x / a) - (b / y)).to( + (x - (y / (b * a))) / a, + *is_const(a, ca), + *is_const(b, cb), + *is_not_const(x), + *is_not_const(y), + ) + yield rewrite((b + (a * x)) / (c + (d * y))).to( + (a / d) * (((b / a) + x) / ((c / d) + y)), + *is_const(a, ca), + *is_const(b, cb), + *is_const(c, cc), + *is_const(d, cd), + ) + yield rewrite((b + x) / (c + (d * y))).to( + (Num(1.0) / d) * ((b + x) / ((c / d) + y)), + *is_const(b, cb), + *is_const(c, cc), + *is_const(d, cd), + ) + + yield rewrite(Num(0.0) + x).to(x) + yield rewrite(x - Num(0.0)).to(x) + yield rewrite(Num(1.0) * x).to(x) + yield rewrite(Num(0.0) * x).to(Num(0.0)) + yield rewrite(Num(0.0) / x).to(Num(0.0)) + yield rewrite(x - x).to(Num(0.0)) + for guard in is_not_zero(x, ca): + yield rewrite(x / x).to(Num(1.0), *guard) + yield rewrite((x * y) + (x * z)).to(x * (y + z)) + yield rewrite(x - (y + z)).to((x - y) - z) + yield rewrite(x - (y - z)).to((x - y) + z) + yield rewrite(Num(-1.0) * (x + y)).to((Num(-1.0) * x) - y) + yield rewrite(x - a).to( + x + (Num(-1.0) * a), + *is_const(a, ca), + *is_not_const(x), + ) + yield rewrite(x - (a * y)).to( + x + ((Num(-1.0) * a) * y), + *is_const(a, ca), + *is_not_const(y), + ) + yield rewrite((Num(1.0) / x) * (Num(1.0) / y)).to(Num(1.0) / (x * y)) + for guard in is_not_zero(x, ca): + yield rewrite(x * (Num(1.0) / x)).to(Num(1.0), *guard) + yield rewrite(x - (Num(-1.0) * y)).to(x + y, *is_not_const(y)) + yield rewrite(x + (Num(-1.0) * y)).to(x - y, *is_not_const(y)) + yield rewrite(Num(0.0) - x).to(Num(-1.0) * x, *is_not_const(x)) + + +# `rewritesFun` +@fun_rules.register +def _fun_rewrites(x: Num, y: Num, a: Num, b: Num, c: f64, d: f64) -> Iterable[RewriteOrRule]: + """ + Translation of `FixTree.rewritesFun`. + + The unary function subset here is the subset exercised by the archived + paper corpora. + """ + yield rewrite(log(x * y)).to( + log(x) + log(y), + const_value(x) == OptionalF64.some(c), + c > 0.0, + const_value(y) == OptionalF64.none, + ) + yield rewrite(log(x * y)).to( + log(x) + log(y), + const_value(x) == OptionalF64.some(c), + c > 0.0, + const_value(y) == OptionalF64.some(d), + d > 0.0, + ) + yield rewrite(log(x * y)).to( + log(x) + log(y), + const_value(y) == OptionalF64.some(c), + c > 0.0, + const_value(x) == OptionalF64.none, + ) + yield rewrite(log(x * y)).to( + log(x) + log(y), + const_value(y) == OptionalF64.some(c), + c > 0.0, + const_value(x) == OptionalF64.some(d), + d > 0.0, + ) + yield rewrite(log(x * y)).to( + log(x) + log(y), + const_value(x) == OptionalF64.some(c), + c > 0.0, + const_value(y) == OptionalF64.some(d), + d < 0.0, + ) + yield rewrite(log(x * y)).to( + log(x) + log(y), + const_value(y) == OptionalF64.some(c), + c > 0.0, + const_value(x) == OptionalF64.some(d), + d < 0.0, + ) + yield rewrite(log(x / y)).to( + log(x) - log(y), + const_value(x) == OptionalF64.some(c), + c > 0.0, + const_value(y) == OptionalF64.none, + ) + yield rewrite(log(x / y)).to( + log(x) - log(y), + const_value(x) == OptionalF64.some(c), + c > 0.0, + const_value(y) == OptionalF64.some(d), + d > 0.0, + ) + yield rewrite(log(x / y)).to( + log(x) - log(y), + const_value(y) == OptionalF64.some(c), + c > 0.0, + const_value(x) == OptionalF64.none, + ) + yield rewrite(log(x / y)).to( + log(x) - log(y), + const_value(y) == OptionalF64.some(c), + c > 0.0, + const_value(x) == OptionalF64.some(d), + d > 0.0, + ) + yield rewrite(log(x / y)).to( + log(x) - log(y), + const_value(x) == OptionalF64.some(c), + c > 0.0, + const_value(y) == OptionalF64.some(d), + d < 0.0, + ) + yield rewrite(log(x / y)).to( + log(x) - log(y), + const_value(y) == OptionalF64.some(c), + c > 0.0, + const_value(x) == OptionalF64.some(d), + d < 0.0, + ) + yield rewrite(log(x**y)).to(y * log(x), const_value(x) == OptionalF64.some(c), c > 0.0) + yield rewrite(log(Num(1.0))).to(Num(0.0)) + yield rewrite(log(sqrt(x))).to(Num(0.5) * log(x), *is_not_const(x)) + yield rewrite(log(exp(x))).to(x, *is_not_const(x)) + yield rewrite(exp(log(x))).to(x, *is_not_const(x)) + yield rewrite(x ** Num(0.5)).to(sqrt(x)) + for guard in is_not_neg_consts(a, x, c, d): + yield rewrite(sqrt(a * x)).to(sqrt(a) * sqrt(x), *guard) + yield rewrite(sqrt(a * (x - y))).to(sqrt(Num(-1.0) * a) * sqrt(y - x), *is_negative(a, c)) + yield rewrite(sqrt(a * (b + y))).to(sqrt(Num(-1.0) * a) * sqrt(b - y), *is_negative(a, c), *is_negative(b, d)) + for guard in is_not_neg_consts(a, x, c, d): + yield rewrite(sqrt(a / x)).to(sqrt(a) / sqrt(x), *guard) + yield rewrite(abs(x * y)).to(abs(x) * abs(y)) + + +@dataclass(frozen=True) +class PaperPipelineReport: + mode: Mode + status: str + passes: int + total_sec: float + total_size: int + node_count: int + eclass_count: int + before_nodes: int + before_params: int + after_nodes: int + after_params: int + rendered: str + extracted: Num + extracted_cost: int + + +def _normalize_expression(source: str) -> str: + return source.strip().replace("^", "**") + + +def _from_ast(node: ast.AST) -> Num: # noqa: C901, PLR0911, PLR0912 + if isinstance(node, ast.Expression): + return _from_ast(node.body) + if isinstance(node, ast.Constant): + if isinstance(node.value, int | float): + return Num(float(node.value)) + msg = f"Unsupported constant: {node.value!r}" + raise ValueError(msg) + if isinstance(node, ast.Name): + return Num.var(node.id) + if isinstance(node, ast.UnaryOp) and isinstance(node.op, ast.USub): + if isinstance(node.operand, ast.Constant) and isinstance(node.operand.value, int | float): + return Num(float(-node.operand.value)) + return neg(_from_ast(node.operand)) + if isinstance(node, ast.BinOp): + lhs = _from_ast(node.left) + rhs = _from_ast(node.right) + if isinstance(node.op, ast.Add): + return lhs + rhs + if isinstance(node.op, ast.Sub): + return lhs - rhs + if isinstance(node.op, ast.Mult): + return lhs * rhs + if isinstance(node.op, ast.Div): + return lhs / rhs + if isinstance(node.op, ast.Pow): + return lhs**rhs + msg = f"Unsupported binary operator: {ast.dump(node.op)}" + raise TypeError(msg) + if isinstance(node, ast.Call): + if not isinstance(node.func, ast.Name): + msg = f"Unsupported call target: {ast.dump(node.func)}" + raise TypeError(msg) + name = node.func.id + args = [_from_ast(arg) for arg in node.args] + if name == "exp": + return exp(args[0]) + if name == "log": + return log(args[0]) + if name == "sqrt": + return sqrt(args[0]) + if name == "abs": + return abs(args[0]) + if name == "plog": + return plog(args[0]) + if name == "square": + return square(args[0]) + if name == "cube": + return cube(args[0]) + msg = f"Unsupported function call: {name}" + raise ValueError(msg) + msg = f"Unsupported AST node: {ast.dump(node)}" + raise TypeError(msg) + + +def parse_expression(source: str) -> Num: + """ + Parse the archived paper expression syntax into the Egglog DSL. + + The input strings come from the normalized copies of the Haskell benchmark + corpora. Numeric literals are kept as constants here; the paper's + parameter-count reporting projects them to fitted parameters later. + """ + return _from_ast(ast.parse(_normalize_expression(source), mode="eval")) + + +def render_num(num: Num) -> str: # noqa: C901, PLR0911, PLR0912 + """Render a `Num` back into a Python-like surface syntax for reports.""" + match get_callable_args(num, Num): + case (value_expr,) if isinstance(value_expr, f64): + return _render_float(float(value_expr.value)) + case _: + pass + match get_callable_args(num, Num.var): + case (name_expr,) if isinstance(name_expr, String): + return name_expr.value + case _: + pass + match get_callable_args(num, Num.__add__): + case (lhs, rhs) if isinstance(lhs, Num) and isinstance(rhs, Num): + return f"({render_num(lhs)} + {render_num(rhs)})" + case _: + pass + match get_callable_args(num, Num.__sub__): + case (lhs, rhs) if isinstance(lhs, Num) and isinstance(rhs, Num): + return f"({render_num(lhs)} - {render_num(rhs)})" + case _: + pass + match get_callable_args(num, Num.__mul__): + case (lhs, rhs) if isinstance(lhs, Num) and isinstance(rhs, Num): + return f"({render_num(lhs)} * {render_num(rhs)})" + case _: + pass + match get_callable_args(num, Num.__truediv__): + case (lhs, rhs) if isinstance(lhs, Num) and isinstance(rhs, Num): + return f"({render_num(lhs)} / {render_num(rhs)})" + case _: + pass + match get_callable_args(num, Num.__pow__): + case (lhs, rhs) if isinstance(lhs, Num) and isinstance(rhs, Num): + return f"({render_num(lhs)} ** {render_num(rhs)})" + case _: + pass + match get_callable_args(num, Num.exp): + case (inner,) if isinstance(inner, Num): + return f"exp({render_num(inner)})" + case _: + pass + match get_callable_args(num, Num.log): + case (inner,) if isinstance(inner, Num): + return f"log({render_num(inner)})" + case _: + pass + match get_callable_args(num, Num.sqrt): + case (inner,) if isinstance(inner, Num): + return f"sqrt({render_num(inner)})" + case _: + pass + match get_callable_args(num, Num.__abs__): + case (inner,) if isinstance(inner, Num): + return f"abs({render_num(inner)})" + case _: + pass + msg = f"Unsupported Num node for rendering: {num!r}" + raise TypeError(msg) + + +def _eval_num(num: Num, env: Mapping[str, float]) -> float | None: # noqa: C901, PLR0911, PLR0912 + """ + Structural evaluator for notebook/debugging use. + + This is not part of the EqSat algorithm. It is only used for artifact + checks and mirrors the real-domain restrictions used elsewhere in the + replication notebooks. + """ + match get_callable_args(num, Num): + case (value_expr,) if isinstance(value_expr, f64): + value = float(value_expr.value) + return value if math.isfinite(value) else None + case _: + pass + match get_callable_args(num, Num.var): + case (name_expr,) if isinstance(name_expr, String): + env_value = env.get(name_expr.value) + if env_value is None or not math.isfinite(env_value): + return None + return float(env_value) + case _: + pass + match get_callable_args(num, Num.__add__): + case (lhs, rhs) if isinstance(lhs, Num) and isinstance(rhs, Num): + left = _eval_num(lhs, env) + right = _eval_num(rhs, env) + return None if left is None or right is None else _combine_binary(left, right, "add") + case _: + pass + match get_callable_args(num, Num.__sub__): + case (lhs, rhs) if isinstance(lhs, Num) and isinstance(rhs, Num): + left = _eval_num(lhs, env) + right = _eval_num(rhs, env) + return None if left is None or right is None else _combine_binary(left, right, "sub") + case _: + pass + match get_callable_args(num, Num.__mul__): + case (lhs, rhs) if isinstance(lhs, Num) and isinstance(rhs, Num): + left = _eval_num(lhs, env) + right = _eval_num(rhs, env) + return None if left is None or right is None else _combine_binary(left, right, "mul") + case _: + pass + match get_callable_args(num, Num.__truediv__): + case (lhs, rhs) if isinstance(lhs, Num) and isinstance(rhs, Num): + left = _eval_num(lhs, env) + right = _eval_num(rhs, env) + return None if left is None or right is None else _combine_binary(left, right, "div") + case _: + pass + match get_callable_args(num, Num.__pow__): + case (lhs, rhs) if isinstance(lhs, Num) and isinstance(rhs, Num): + left = _eval_num(lhs, env) + right = _eval_num(rhs, env) + return None if left is None or right is None else _combine_binary(left, right, "pow") + case _: + pass + match get_callable_args(num, Num.exp): + case (inner,) if isinstance(inner, Num): + inner_value = _eval_num(inner, env) + if inner_value is None: + return None + try: + result = math.exp(inner_value) + except OverflowError: + return None + return result if math.isfinite(result) else None + case _: + pass + match get_callable_args(num, Num.log): + case (inner,) if isinstance(inner, Num): + inner_value = _eval_num(inner, env) + if inner_value is None or inner_value <= 0.0: + return None + result = math.log(inner_value) + return result if math.isfinite(result) else None + case _: + pass + match get_callable_args(num, Num.sqrt): + case (inner,) if isinstance(inner, Num): + inner_value = _eval_num(inner, env) + if inner_value is None or inner_value < 0.0: + return None + result = math.sqrt(inner_value) + return result if math.isfinite(result) else None + case _: + pass + match get_callable_args(num, Num.__abs__): + case (inner,) if isinstance(inner, Num): + inner_value = _eval_num(inner, env) + if inner_value is None: + return None + result = abs(inner_value) + return result if math.isfinite(result) else None + case _: + pass + msg = f"Unsupported Num node for evaluation: {num!r}" + raise TypeError(msg) + + +def count_params(num: Num) -> int: # noqa: C901, PLR0911, PLR0912 + """ + Mirror the paper harness's parameter counting: + + recountParams . replaceConstsWithParams + + from ``param-eq-haskell/src/Main.hs``. + + That means numeric leaves are counted as parameters for reporting, but the + EqSat language itself still sees them as constants. Power exponents follow + the Haskell projection too: constant exponents are not counted as + parameters, but non-constant exponent subexpressions are still traversed. + """ + match get_callable_args(num, Num): + case (_value_expr,): + return 1 + case _: + pass + match get_callable_args(num, Num.var): + case (_name_expr,): + return 0 + case _: + pass + match get_callable_args(num, Num.__add__): + case (lhs, rhs) if isinstance(lhs, Num) and isinstance(rhs, Num): + return count_params(lhs) + count_params(rhs) + case _: + pass + match get_callable_args(num, Num.__sub__): + case (lhs, rhs) if isinstance(lhs, Num) and isinstance(rhs, Num): + return count_params(lhs) + count_params(rhs) + case _: + pass + match get_callable_args(num, Num.__mul__): + case (lhs, rhs) if isinstance(lhs, Num) and isinstance(rhs, Num): + return count_params(lhs) + count_params(rhs) + case _: + pass + match get_callable_args(num, Num.__truediv__): + case (lhs, rhs) if isinstance(lhs, Num) and isinstance(rhs, Num): + return count_params(lhs) + count_params(rhs) + case _: + pass + match get_callable_args(num, Num.__pow__): + case (lhs, rhs) if isinstance(lhs, Num) and isinstance(rhs, Num): + match get_callable_args(rhs, Num): + case (_value_expr,): + return count_params(lhs) + case _: + return count_params(lhs) + count_params(rhs) + case _: + pass + match get_callable_args(num, Num.exp): + case (inner,) if isinstance(inner, Num): + return count_params(inner) + case _: + pass + match get_callable_args(num, Num.log): + case (inner,) if isinstance(inner, Num): + return count_params(inner) + case _: + pass + match get_callable_args(num, Num.sqrt): + case (inner,) if isinstance(inner, Num): + return count_params(inner) + case _: + pass + match get_callable_args(num, Num.__abs__): + case (inner,) if isinstance(inner, Num): + return count_params(inner) + case _: + pass + msg = f"Unsupported Num node while counting parameters: {num!r}" + raise TypeError(msg) + + +def count_nodes(num: Num) -> int: # noqa: C901, PLR0911, PLR0912 + """Count AST nodes in the rendered tree, matching the paper tables' style.""" + match get_callable_args(num, Num): + case (_value_expr,): + return 1 + case _: + pass + match get_callable_args(num, Num.var): + case (_name_expr,): + return 1 + case _: + pass + match get_callable_args(num, Num.__add__): + case (lhs, rhs) if isinstance(lhs, Num) and isinstance(rhs, Num): + return 1 + count_nodes(lhs) + count_nodes(rhs) + case _: + pass + match get_callable_args(num, Num.__sub__): + case (lhs, rhs) if isinstance(lhs, Num) and isinstance(rhs, Num): + return 1 + count_nodes(lhs) + count_nodes(rhs) + case _: + pass + match get_callable_args(num, Num.__mul__): + case (lhs, rhs) if isinstance(lhs, Num) and isinstance(rhs, Num): + return 1 + count_nodes(lhs) + count_nodes(rhs) + case _: + pass + match get_callable_args(num, Num.__truediv__): + case (lhs, rhs) if isinstance(lhs, Num) and isinstance(rhs, Num): + return 1 + count_nodes(lhs) + count_nodes(rhs) + case _: + pass + match get_callable_args(num, Num.__pow__): + case (lhs, rhs) if isinstance(lhs, Num) and isinstance(rhs, Num): + return 1 + count_nodes(lhs) + count_nodes(rhs) + case _: + pass + match get_callable_args(num, Num.exp): + case (inner,) if isinstance(inner, Num): + return 1 + count_nodes(inner) + case _: + pass + match get_callable_args(num, Num.log): + case (inner,) if isinstance(inner, Num): + return 1 + count_nodes(inner) + case _: + pass + match get_callable_args(num, Num.sqrt): + case (inner,) if isinstance(inner, Num): + return 1 + count_nodes(inner) + case _: + pass + match get_callable_args(num, Num.__abs__): + case (inner,) if isinstance(inner, Num): + return 1 + count_nodes(inner) + case _: + pass + msg = f"Unsupported Num node while counting nodes: {num!r}" + raise TypeError(msg) + + +def _serialized_counts(egraph: egglog.EGraph) -> tuple[int, int]: + payload = json.loads(egraph._serialize().to_json()) + return len(payload.get("nodes", {})), len(payload.get("class_data", {})) + + +# Haskell runs one `equalitySaturation' (BackoffScheduler 2500 30)` per outer +# pass, and `simplifyE` repeats that extracted result up to twice. For this +# explicit-analysis translation, the accepted Egglog approximation is the +# smaller bounded schedule that was validated against the Haskell canaries: +# - run four explicit `analysis.saturate() + rewrite` rounds +# - finish with one last `analysis.saturate()` so `const_value(root)` settles +analysis_schedule = const_merge_rules | const_seed_rules | const_propagation_rules | const_prune_rules +basic_rules = ( + basic_add_comm_rules + | basic_mul_comm_rules + | basic_add_assoc_rules + | basic_mul_assoc_rules + | basic_mul_div_rules + | basic_product_regroup_rules + | basic_other_rules +) +# After splitting scheduler progress from database progress and using +# `stop_when_no_updates=True`, the reduced quadratic-sum canary no longer needs +# `add_comm` removed. The larger `pagie_operon_15` case still runs much longer +# with `add_comm` restored, so the current baseline keeps it disabled as the +# narrowest remaining compensation while the next engine-level mismatch is +# isolated. +baseline_basic_rules = ( + basic_mul_comm_rules + | basic_add_assoc_rules + | basic_mul_assoc_rules + | basic_mul_div_rules + | basic_product_regroup_rules + | basic_other_rules +) +scheduler = back_off(match_limit=BACKOFF_MATCH_LIMIT, ban_length=BACKOFF_BAN_LENGTH, egg_like=True) +rewrite_schedule = run(baseline_basic_rules | fun_rules, scheduler=scheduler) +analysis_rewrite_round = analysis_schedule.saturate() + rewrite_schedule +total_ruleset = scheduler.scope( + analysis_rewrite_round + + analysis_rewrite_round + + analysis_rewrite_round + + analysis_rewrite_round + + analysis_schedule.saturate() +) + + +def _run_single_pass(num: Num) -> tuple[Num, int, int, int, int, float]: + """ + One paper-style EqSat pass. + + This corresponds to one application of `rewriteTree` in Haskell. The caller + is responsible for the outer `rewriteUntilNoChange ... 2` behavior. + """ + egraph = egglog.EGraph() + egraph.register(num) + + start = time.perf_counter() + egraph.run(total_ruleset) + elapsed = time.perf_counter() - start + extracted, cost = egraph.extract(num, include_cost=True) + total_size = sum(size for _, size in egraph.all_function_sizes()) + node_count, eclass_count = _serialized_counts(egraph) + return extracted, int(cost), total_size, node_count, eclass_count, elapsed + + +def run_paper_pipeline(num: Num, *, mode: Mode) -> PaperPipelineReport: + """ + Approximate `simplifyE` from `FixTree.hs`. + + Haskell does: + relabelParams . toSRTree . rewriteUntilNoChange [rewriteTree] 2 . toFixTree + + Here we mirror that as: + - run `_run_single_pass` on the current extracted term + - extract + - stop early if the rendered term is unchanged + - otherwise rebuild from the extracted term and try again + """ + before_nodes = count_nodes(num) + before_params = count_params(num) + current = num + last_cost = 0 + total_size = 0 + node_count = 0 + eclass_count = 0 + total_sec = 0.0 + passes = 0 + status = "saturated" + for pass_index in range(1, MAX_PASSES + 1): + extracted, last_cost, total_size, node_count, eclass_count, elapsed = _run_single_pass(current) + total_sec += elapsed + passes = pass_index + if render_num(extracted) == render_num(current): + current = extracted + break + current = extracted + after_nodes = count_nodes(current) + after_params = count_params(current) + return PaperPipelineReport( + mode=mode, + status=status, + passes=passes, + total_sec=total_sec, + total_size=total_size, + node_count=node_count, + eclass_count=eclass_count, + before_nodes=before_nodes, + before_params=before_params, + after_nodes=after_nodes, + after_params=after_params, + rendered=render_num(current), + extracted=current, + extracted_cost=last_cost, + ) + + +def _cli() -> None: + parser = argparse.ArgumentParser(description=__doc__) + parser.add_argument("--mode", choices=("egglog-baseline",), required=True) + parser.add_argument("--expr", required=True) + args = parser.parse_args() + report = run_paper_pipeline(parse_expression(args.expr), mode="egglog-baseline") + payload = { + "mode": report.mode, + "status": report.status, + "passes": report.passes, + "total_sec": report.total_sec, + "total_size": report.total_size, + "node_count": report.node_count, + "eclass_count": report.eclass_count, + "before_nodes": report.before_nodes, + "before_params": report.before_params, + "after_nodes": report.after_nodes, + "after_params": report.after_params, + "rendered": report.rendered, + "extracted_cost": report.extracted_cost, + } + print(json.dumps(payload, sort_keys=True)) + + +if __name__ == "__main__": + _cli() diff --git a/python/egglog/exp/param_eq/replication.ipynb b/python/egglog/exp/param_eq/replication.ipynb new file mode 100644 index 00000000..85e3d23b --- /dev/null +++ b/python/egglog/exp/param_eq/replication.ipynb @@ -0,0 +1,2250 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "db24edda", + "metadata": {}, + "source": [ + "mypy: disable-error-code=\"import-untyped,no-redef,misc\"" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "17465037", + "metadata": { + "execution": { + "iopub.execute_input": "2026-04-04T18:00:30.838674Z", + "iopub.status.busy": "2026-04-04T18:00:30.838611Z", + "iopub.status.idle": "2026-04-04T18:00:30.841641Z", + "shell.execute_reply": "2026-04-04T18:00:30.841376Z" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "'Notebook source for comparing the retained Egglog baseline to archived paper artifacts.'" + ] + }, + "execution_count": 1, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "\"\"\"Notebook source for comparing the retained Egglog baseline to archived paper artifacts.\"\"\"" + ] + }, + { + "cell_type": "markdown", + "id": "5b08db67", + "metadata": {}, + "source": [ + "# 2026-03 - Replicating the Param-Eq Paper in Egglog\n", + "\n", + "This notebook rebuilds the de Franca and Kronberger (2023) paper figures from\n", + "the archived Haskell experiment outputs and compares them to an Egglog\n", + "translation of the older `param-eq-haskell` simplification pipeline.\n", + "\n", + "The Haskell sources this notebook is tracing back to are:\n", + "- `../param-eq-haskell/src/FixTree.hs`\n", + "- `../param-eq-haskell/src/Main.hs`\n", + "\n", + "It is artifacts-first:\n", + "- it reads normalized Haskell artifacts from `python/egglog/exp/param_eq/artifacts`\n", + "- it reads the Egglog corpus results from the same directory\n", + "- it does not run Haskell at notebook execution time\n", + "\n", + "Offline regeneration commands from the repository root:\n", + "- `uv run python -m egglog.exp.param_eq.normalize_archives`\n", + "- `uv run python -m egglog.exp.param_eq.run_egglog_corpus`\n", + "- `uv run python python/egglog/exp/param_eq/replication.py`\n", + "\n", + "The executed `.ipynb` shown in GitHub is generated from this `py:light` file." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "d5667540", + "metadata": { + "execution": { + "iopub.execute_input": "2026-04-04T18:00:30.843011Z", + "iopub.status.busy": "2026-04-04T18:00:30.842932Z", + "iopub.status.idle": "2026-04-04T18:00:31.296554Z", + "shell.execute_reply": "2026-04-04T18:00:31.296020Z" + } + }, + "outputs": [], + "source": [ + "from __future__ import annotations\n", + "\n", + "import os\n", + "from io import StringIO\n", + "\n", + "import altair as alt\n", + "import pandas as pd\n", + "from IPython.display import Markdown, SVG, display\n", + "from nbclient import NotebookClient\n", + "import nbformat\n", + "import jupytext\n", + "from egglog.exp.param_eq.paths import ARTIFACT_DIR, PARAM_EQ_DIR\n", + "\n", + "\n", + "alt.data_transformers.disable_max_rows()\n", + "alt.renderers.enable(\"default\")\n", + "\n", + "ALGORITHM_ORDER = [\"Bingo\", \"EPLEX\", \"GP-GOMEA\", \"Operon\", \"PySR\", \"SBP\"]\n", + "MODE_LABELS = {\n", + " \"egglog-baseline\": \"Egglog baseline\",\n", + "}\n", + "BOX_COLOR = \"#4C78A8\"\n", + "POINT_COLOR = \"#F58518\"\n", + "MISMATCH_COLOR = \"#E45756\"\n", + "HASKELL_PATH = ARTIFACT_DIR / \"haskell_paper_rows.csv\"\n", + "EGGLOG_PATH = ARTIFACT_DIR / \"egglog_paper_rows.csv\"\n", + "RUNTIME_PATH = ARTIFACT_DIR / \"pagie_runtime_scatter.csv\"\n", + "\n", + "for required_path in [HASKELL_PATH, EGGLOG_PATH, RUNTIME_PATH]:\n", + " if not required_path.exists():\n", + " msg = f\"Missing required artifact: {required_path}\"\n", + " raise FileNotFoundError(msg)\n", + "\n", + "\n", + "def _coerce_numeric(frame: pd.DataFrame, columns: list[str]) -> pd.DataFrame:\n", + " for column in columns:\n", + " if column in frame.columns:\n", + " frame[column] = pd.to_numeric(frame[column], errors=\"coerce\")\n", + " return frame\n", + "\n", + "\n", + "def _paper_haskell_frame() -> pd.DataFrame:\n", + " frame = pd.read_csv(HASKELL_PATH)\n", + " frame = frame[frame[\"is_paper_row\"] == 1].copy()\n", + " return _coerce_numeric(\n", + " frame,\n", + " [\n", + " \"raw_index\",\n", + " \"algo_row\",\n", + " \"orig_nodes\",\n", + " \"orig_params\",\n", + " \"simpl_nodes\",\n", + " \"simpl_params\",\n", + " \"orig_nodes_sympy\",\n", + " \"orig_params_sympy\",\n", + " \"simpl_nodes_sympy\",\n", + " \"simpl_params_sympy\",\n", + " \"n_params\",\n", + " \"n_rank\",\n", + " ],\n", + " )\n", + "\n", + "\n", + "def _paper_egglog_frame() -> pd.DataFrame:\n", + " frame = pd.read_csv(EGGLOG_PATH)\n", + " frame = frame[frame[\"is_paper_row\"] == 1].copy()\n", + " return _coerce_numeric(\n", + " frame,\n", + " [\n", + " \"raw_index\",\n", + " \"algo_row\",\n", + " \"n_params\",\n", + " \"n_rank\",\n", + " \"orig_runtime_ms\",\n", + " \"orig_nodes\",\n", + " \"orig_params\",\n", + " \"simpl_nodes\",\n", + " \"simpl_params\",\n", + " \"orig_total_size\",\n", + " \"orig_egraph_nodes\",\n", + " \"orig_eclass_count\",\n", + " \"orig_passes\",\n", + " \"orig_extracted_cost\",\n", + " \"sympy_runtime_ms\",\n", + " \"orig_nodes_sympy\",\n", + " \"orig_params_sympy\",\n", + " \"simpl_nodes_sympy\",\n", + " \"simpl_params_sympy\",\n", + " \"sympy_total_size\",\n", + " \"sympy_egraph_nodes\",\n", + " \"sympy_eclass_count\",\n", + " \"sympy_passes\",\n", + " \"sympy_extracted_cost\",\n", + " ],\n", + " )\n", + "\n", + "\n", + "def _paper_runtime_frame() -> pd.DataFrame:\n", + " frame = pd.read_csv(RUNTIME_PATH)\n", + " return _coerce_numeric(frame, [\"node_count\", \"runtime_ms\"])\n", + "\n", + "\n", + "def add_paper_metrics(frame: pd.DataFrame, *, prefix: str) -> pd.DataFrame:\n", + " result = frame.copy()\n", + " result[\"orig_x_egg\"] = (result[prefix + \"orig_params\"] - result[prefix + \"simpl_params\"]) / result[\n", + " prefix + \"orig_params\"\n", + " ]\n", + " result[\"orig_x_sympy\"] = (result[prefix + \"orig_params\"] - result[prefix + \"orig_params_sympy\"]) / result[\n", + " prefix + \"orig_params\"\n", + " ]\n", + " result[\"orig_x_sympyegg\"] = (result[prefix + \"orig_params\"] - result[prefix + \"simpl_params_sympy\"]) / result[\n", + " prefix + \"orig_params\"\n", + " ]\n", + " result[\"sympy_x_egg\"] = (result[prefix + \"orig_params_sympy\"] - result[prefix + \"simpl_params\"]) / result[\n", + " prefix + \"orig_params_sympy\"\n", + " ]\n", + " result[\"sympyegg_x_egg\"] = (result[prefix + \"simpl_params_sympy\"] - result[prefix + \"simpl_params\"]) / result[\n", + " prefix + \"simpl_params_sympy\"\n", + " ]\n", + " result[\"orig_rank\"] = result[\"n_params\"] - result[\"n_rank\"]\n", + " result[\"simpl_rank\"] = result[prefix + \"simpl_params\"] - result[\"n_rank\"]\n", + " result[\"sympy_rank\"] = result[prefix + \"orig_params_sympy\"] - result[\"n_rank\"]\n", + " return result\n", + "\n", + "\n", + "def melt_methods(frame: pd.DataFrame, *, columns: dict[str, str], value_name: str) -> pd.DataFrame:\n", + " melted = frame.melt(\n", + " id_vars=[\"dataset\", \"algorithm\", \"raw_index\"],\n", + " value_vars=list(columns.values()),\n", + " var_name=\"method_key\",\n", + " value_name=value_name,\n", + " )\n", + " inverse = {value: key for key, value in columns.items()}\n", + " melted[\"method\"] = melted[\"method_key\"].map(inverse)\n", + " return melted.drop(columns=[\"method_key\"])\n", + "\n", + "\n", + "def _point_layer(frame: pd.DataFrame, *, tooltip: list[str]) -> alt.Chart:\n", + " return (\n", + " alt.Chart(frame)\n", + " .transform_calculate(jitter=\"(random() - 0.5) * 18\")\n", + " .mark_circle(size=46, color=POINT_COLOR, opacity=0.72, stroke=\"white\", strokeWidth=0.8)\n", + " .encode(xOffset=alt.XOffset(\"jitter:Q\"), tooltip=tooltip)\n", + " )\n", + "\n", + "\n", + "def boxplot_chart(frame: pd.DataFrame, *, y: str, title: str) -> alt.Chart:\n", + " base = (\n", + " alt.Chart(frame)\n", + " .encode(\n", + " x=alt.X(\"algorithm:N\", sort=ALGORITHM_ORDER, title=\"Algorithm\"),\n", + " y=alt.Y(f\"{y}:Q\", title=y.replace(\"_\", \" \")),\n", + " )\n", + " .properties(width=120, height=280)\n", + " )\n", + " return (\n", + " alt.layer(\n", + " base.mark_boxplot(size=18, opacity=0.6, color=BOX_COLOR, outliers=False),\n", + " _point_layer(\n", + " frame,\n", + " tooltip=[\"dataset\", \"algorithm\", \"method\", \"raw_index\", y],\n", + " ).encode(\n", + " x=alt.X(\"algorithm:N\", sort=ALGORITHM_ORDER, title=\"Algorithm\"),\n", + " y=alt.Y(f\"{y}:Q\", title=y.replace(\"_\", \" \")),\n", + " ),\n", + " )\n", + " .facet(column=alt.Column(\"method:N\", title=None))\n", + " .properties(title=title)\n", + " .resolve_scale(y=\"shared\")\n", + " )\n", + "\n", + "\n", + "def rank_boxplot(frame: pd.DataFrame, *, title: str) -> alt.Chart:\n", + " base = (\n", + " alt.Chart(frame)\n", + " .encode(\n", + " x=alt.X(\"algorithm:N\", sort=ALGORITHM_ORDER, title=\"Algorithm\"),\n", + " y=alt.Y(\"simpl_rank:Q\", title=\"simplified params - rank\"),\n", + " )\n", + " .properties(width=180, height=280)\n", + " )\n", + " return (\n", + " alt.layer(\n", + " base.mark_boxplot(size=18, opacity=0.6, color=BOX_COLOR, outliers=False),\n", + " _point_layer(\n", + " frame,\n", + " tooltip=[\"dataset\", \"algorithm\", \"raw_index\", \"simpl_rank\", \"n_rank\", \"simpl_params\"],\n", + " ).encode(\n", + " x=alt.X(\"algorithm:N\", sort=ALGORITHM_ORDER, title=\"Algorithm\"),\n", + " y=alt.Y(\"simpl_rank:Q\", title=\"simplified params - rank\"),\n", + " ),\n", + " )\n", + " .facet(column=alt.Column(\"dataset:N\", title=None))\n", + " .properties(title=title)\n", + " .resolve_scale(y=\"shared\")\n", + " )\n", + "\n", + "\n", + "def comparison_table(frame: pd.DataFrame, *, implementation: str) -> pd.DataFrame:\n", + " rows: list[dict[str, object]] = []\n", + " for dataset in [\"pagie\", \"kotanchek\"]:\n", + " dataset_frame = frame[frame[\"dataset\"] == dataset]\n", + " for algorithm in ALGORITHM_ORDER:\n", + " algo_frame = dataset_frame[dataset_frame[\"algorithm\"] == algorithm]\n", + " for delta in [0, 1]:\n", + " eligible = algo_frame[algo_frame[\"orig_rank\"] > delta]\n", + " percent = float(\"nan\")\n", + " if not eligible.empty:\n", + " percent = 100.0 * (eligible[\"simpl_rank\"] <= delta).sum() / len(eligible)\n", + " rows.append({\n", + " \"implementation\": implementation,\n", + " \"dataset\": dataset,\n", + " \"algorithm\": algorithm,\n", + " \"delta\": f\"Δ {'==' if delta == 0 else '<='} {delta}\",\n", + " \"percent\": percent,\n", + " })\n", + " return pd.DataFrame(rows)\n", + "\n", + "\n", + "def table4_wide(frame: pd.DataFrame, index_columns: list[str]) -> pd.DataFrame:\n", + " zero = frame[frame[\"delta\"] == \"Δ == 0\"][[*index_columns, \"percent\"]].rename(columns={\"percent\": \"Δ == 0\"})\n", + " one = frame[frame[\"delta\"] == \"Δ <= 1\"][[*index_columns, \"percent\"]].rename(columns={\"percent\": \"Δ <= 1\"})\n", + " return zero.merge(one, on=index_columns, how=\"outer\")\n", + "\n", + "\n", + "def runtime_scatter(frame: pd.DataFrame, *, x: str, y: str, color: str, title: str) -> alt.Chart:\n", + " return (\n", + " alt.Chart(frame)\n", + " .mark_circle(size=72, opacity=0.78, stroke=\"white\", strokeWidth=0.8)\n", + " .encode(\n", + " x=alt.X(f\"{x}:Q\"),\n", + " y=alt.Y(f\"{y}:Q\"),\n", + " color=alt.Color(f\"{color}:N\"),\n", + " tooltip=list(frame.columns),\n", + " )\n", + " .properties(title=title, width=360, height=300)\n", + " )\n", + "\n", + "\n", + "def status_summary_chart(frame: pd.DataFrame, *, title: str) -> alt.Chart:\n", + " return (\n", + " alt.Chart(frame)\n", + " .mark_bar()\n", + " .encode(\n", + " x=alt.X(\"count:Q\", title=\"rows\"),\n", + " y=alt.Y(\"status:N\", sort=\"-x\", title=None),\n", + " color=alt.Color(\"status:N\", legend=None),\n", + " column=alt.Column(\"mode:N\", title=None),\n", + " )\n", + " .properties(title=title, width=180, height=180)\n", + " )\n", + "\n", + "\n", + "def show_chart(chart: alt.Chart) -> None:\n", + " buffer = StringIO()\n", + " chart.save(buffer, format=\"svg\")\n", + " display(SVG(buffer.getvalue()))\n", + "\n", + "\n", + "def show_note(text: str) -> None:\n", + " display(Markdown(f\"**What this shows:** {text}\"))\n", + "\n", + "\n", + "def _share_phrase(numerator: int, denominator: int) -> str:\n", + " if denominator == 0:\n", + " return \"none\"\n", + " share = numerator / denominator\n", + " if share >= 0.95:\n", + " return \"nearly all\"\n", + " if share >= 0.8:\n", + " return \"most\"\n", + " if share >= 0.65:\n", + " return \"a clear majority of\"\n", + " if share >= 0.45:\n", + " return \"about half of\"\n", + " if share >= 0.2:\n", + " return \"a minority of\"\n", + " return \"very few\"\n", + "\n", + "\n", + "def summarize_haskell_reduction_ratios(frame: pd.DataFrame, *, context: str) -> str:\n", + " medians = frame.groupby(\"method\")[\"ratio\"].median()\n", + " eqsat = medians.get(\"EqSat\", 0.0)\n", + " sympy = medians.get(\"Sympy\", 0.0)\n", + " combined = medians.get(\"Sympy + EqSat\", 0.0)\n", + " if eqsat > 0 and combined >= 0 and sympy <= 0:\n", + " return (\n", + " f\"For {context}, this is the target paper-era pattern: EqSat is helpful on its own, \"\n", + " \"Sympy alone is weaker or can regress, and the combined pipeline recovers much of that gap. \"\n", + " \"A faithful Egglog baseline should preserve that separation between the three modes.\"\n", + " )\n", + " if eqsat > 0 and combined > 0 and sympy <= combined:\n", + " return (\n", + " f\"For {context}, this is the target qualitative ordering: EqSat and the combined pipeline both reduce parameters, \"\n", + " \"while Sympy alone is not the main source of the gain. The Egglog baseline should look similar if it is reproducing the paper behavior.\"\n", + " )\n", + " return (\n", + " f\"For {context}, this chart defines the baseline shape the Egglog reproduction is aiming at: \"\n", + " \"the three modes should not collapse onto the same distribution if the pipeline stages are being reproduced distinctly.\"\n", + " )\n", + "\n", + "\n", + "def summarize_haskell_comparison_ratios(frame: pd.DataFrame, *, context: str) -> str:\n", + " medians = frame.groupby(\"method\")[\"ratio\"].median()\n", + " sympy_vs_eqsat = medians.get(\"Sympy x EqSat\", 0.0)\n", + " combined_vs_eqsat = medians.get(\"Sympy + EqSat x EqSat\", 0.0)\n", + " if sympy_vs_eqsat > 0 and combined_vs_eqsat <= sympy_vs_eqsat:\n", + " return (\n", + " f\"For {context}, the archived baseline says EqSat is doing real extra work beyond Sympy preprocessing alone. \"\n", + " \"That means a faithful Egglog reproduction should still show a visible advantage for rerunning EqSat after the symbolic preprocessing stage.\"\n", + " )\n", + " return (\n", + " f\"For {context}, this chart sets the baseline expectation for how much EqSat should add beyond the Sympy-derived starting point.\"\n", + " )\n", + "\n", + "\n", + "def summarize_rank_target(frame: pd.DataFrame, *, context: str) -> str:\n", + " near_rank = int((frame[\"simpl_rank\"] <= 1).sum())\n", + " total = len(frame)\n", + " return (\n", + " f\"For {context}, the archived baseline usually lands at or very near the target rank. \"\n", + " f\"So the reproduction target here is not just qualitative simplification, but getting { _share_phrase(near_rank, total) } rows down to the rank target or within one.\"\n", + " )\n", + "\n", + "\n", + "def summarize_runtime_baseline(frame: pd.DataFrame, *, x: str, y: str, context: str) -> str:\n", + " clean = frame[[x, y]].dropna()\n", + " correlation = clean[x].corr(clean[y]) if len(clean) > 1 else 0.0\n", + " if correlation > 0.5:\n", + " return (\n", + " f\"For {context}, the runtime tail clearly grows with expression size. \"\n", + " \"This is the baseline difficulty pattern Egglog should match qualitatively even if exact runtimes differ.\"\n", + " )\n", + " return (\n", + " f\"For {context}, this chart is mainly a baseline reference for where the hard cases live; larger inputs should dominate the tail.\"\n", + " )\n", + "\n", + "\n", + "def summarize_egglog_reduction_vs_haskell(candidate: pd.DataFrame, baseline: pd.DataFrame, *, context: str) -> str:\n", + " candidate_medians = candidate.groupby(\"method\")[\"ratio\"].median()\n", + " baseline_medians = baseline.groupby(\"method\")[\"ratio\"].median()\n", + " candidate_spread = candidate_medians.max() - candidate_medians.min()\n", + " baseline_spread = baseline_medians.max() - baseline_medians.min()\n", + " if candidate_spread < baseline_spread * 0.5:\n", + " return (\n", + " f\"For {context}, Egglog does not preserve the method separation visible in the archived Haskell baseline. \"\n", + " \"The three modes collapse toward the same reduction level, which argues that Egglog is not yet reproducing the distinct effect of each pipeline stage.\"\n", + " )\n", + " return (\n", + " f\"For {context}, Egglog broadly preserves the same qualitative ordering as the archived Haskell baseline, \"\n", + " \"which supports the hypothesis that the reproduction is close on this slice.\"\n", + " )\n", + "\n", + "\n", + "def summarize_egglog_comparison_vs_haskell(candidate: pd.DataFrame, baseline: pd.DataFrame, *, context: str) -> str:\n", + " candidate_medians = candidate.groupby(\"method\")[\"ratio\"].median()\n", + " baseline_medians = baseline.groupby(\"method\")[\"ratio\"].median()\n", + " if candidate_medians.get(\"Sympy x EqSat\", 0.0) < baseline_medians.get(\"Sympy x EqSat\", 0.0) * 0.5:\n", + " return (\n", + " f\"For {context}, Egglog largely loses the extra gain that archived Haskell gets from rerunning EqSat after Sympy. \"\n", + " \"That supports the current hypothesis that the remaining gap is in how Egglog reproduces the rewrite schedule and A/C-heavy search, not in the basic parser or metric bookkeeping.\"\n", + " )\n", + " return (\n", + " f\"For {context}, Egglog retains most of the archived advantage of EqSat over the Sympy-derived inputs, \"\n", + " \"which supports the baseline-reproduction hypothesis for this comparison.\"\n", + " )\n", + "\n", + "\n", + "def summarize_egglog_rank_vs_haskell(candidate: pd.DataFrame, baseline: pd.DataFrame, *, context: str) -> str:\n", + " candidate_near = (candidate[\"simpl_rank\"] <= 1).sum()\n", + " baseline_near = (baseline[\"simpl_rank\"] <= 1).sum()\n", + " if candidate_near >= baseline_near * 0.9:\n", + " return (\n", + " f\"For {context}, Egglog is close to the archived baseline on the coarse rank target. \"\n", + " \"So the remaining mismatch is not that Egglog fails to simplify at all; it is that it still misses some of the exact final forms and some hard cases.\"\n", + " )\n", + " return (\n", + " f\"For {context}, Egglog is still noticeably behind the archived baseline even on the coarse rank target, \"\n", + " \"so the reproduction gap is visible before we look at exact expression equality.\"\n", + " )\n", + "\n", + "\n", + "def summarize_egglog_runtime(frame: pd.DataFrame, *, x: str, y: str, context: str) -> str:\n", + " clean = frame[[x, y]].dropna()\n", + " correlation = clean[x].corr(clean[y]) if len(clean) > 1 else 0.0\n", + " if correlation > 0.5:\n", + " return (\n", + " f\"For {context}, Egglog shows the same basic size-driven runtime tail as the archived baseline. \"\n", + " \"That supports the idea that it is hitting the same families of hard expressions, even though some outcomes still diverge.\"\n", + " )\n", + " return (\n", + " f\"For {context}, runtime does not track size as strongly as in the archived baseline, \"\n", + " \"which would suggest a different failure mode.\"\n", + " )\n", + "\n", + "\n", + "def summarize_match_scatter(frame: pd.DataFrame, *, context: str) -> str:\n", + " total = len(frame)\n", + " exact = int(frame[\"orig_param_match\"].sum())\n", + " phrase = _share_phrase(exact, total)\n", + " if exact / total >= 0.8:\n", + " return (\n", + " f\"For {context}, {phrase} sit on or very near the diagonal. \"\n", + " \"That supports the hypothesis that Egglog is partially reproducing the Haskell baseline on final parameter counts, but not yet meeting it exactly across the whole corpus.\"\n", + " )\n", + " return (\n", + " f\"For {context}, too many points miss the diagonal for us to call the baseline reproduced yet.\"\n", + " )\n", + "\n", + "\n", + "def summarize_status_counts(frame: pd.DataFrame, *, context: str) -> str:\n", + " counts = frame.groupby(\"status\")[\"count\"].sum()\n", + " saturated = int(counts.get(\"saturated\", 0))\n", + " total = int(counts.sum())\n", + " phrase = _share_phrase(saturated, total)\n", + " return (\n", + " f\"For {context}, {phrase} finish in the normal saturated path. \"\n", + " \"That means the current baseline is usable for comparison work, but the remaining unsaturated tail is still large enough to matter for paper-faithful reproduction.\"\n", + " )\n", + "\n", + "\n", + "haskell = add_paper_metrics(_paper_haskell_frame(), prefix=\"\")\n", + "egglog = add_paper_metrics(_paper_egglog_frame(), prefix=\"\")\n", + "runtime_rows = _paper_runtime_frame()\n", + "\n", + "egglog_baseline = egglog[egglog[\"mode\"] == \"egglog-baseline\"].copy()\n", + "haskell_box_methods = {\n", + " \"EqSat\": \"orig_x_egg\",\n", + " \"Sympy\": \"orig_x_sympy\",\n", + " \"Sympy + EqSat\": \"orig_x_sympyegg\",\n", + "}\n", + "comparison_methods = {\n", + " \"Sympy x EqSat\": \"sympy_x_egg\",\n", + " \"Sympy + EqSat x EqSat\": \"sympyegg_x_egg\",\n", + "}\n", + "\n", + "haskell_table4 = comparison_table(haskell, implementation=\"Haskell\")\n", + "egglog_table4 = pd.concat(\n", + " [\n", + " comparison_table(egglog_baseline, implementation=\"Egglog baseline\"),\n", + " ],\n", + " ignore_index=True,\n", + ")\n", + "\n", + "baseline_compare = egglog_baseline.merge(\n", + " haskell[\n", + " [\n", + " \"dataset\",\n", + " \"raw_index\",\n", + " \"algorithm\",\n", + " \"simpl_params\",\n", + " \"simpl_params_sympy\",\n", + " \"orig_params\",\n", + " \"orig_params_sympy\",\n", + " ]\n", + " ],\n", + " on=[\"dataset\", \"raw_index\", \"algorithm\"],\n", + " suffixes=(\"_egglog\", \"_haskell\"),\n", + ")\n", + "baseline_compare[\"orig_param_match\"] = (\n", + " baseline_compare[\"simpl_params_egglog\"] == baseline_compare[\"simpl_params_haskell\"]\n", + ")\n", + "baseline_compare[\"sympy_param_match\"] = (\n", + " baseline_compare[\"simpl_params_sympy_egglog\"] == baseline_compare[\"simpl_params_sympy_haskell\"]\n", + ")\n", + "\n", + "baseline_compare[\"orig_abs_gap\"] = (\n", + " baseline_compare[\"simpl_params_egglog\"] - baseline_compare[\"simpl_params_haskell\"]\n", + ").abs()\n", + "status_rows = egglog_baseline.assign(status=egglog_baseline[\"orig_status\"], mode_label=\"Egglog baseline\")[\n", + " [\"status\", \"mode_label\"]\n", + "].rename(columns={\"mode_label\": \"mode\"})" + ] + }, + { + "cell_type": "markdown", + "id": "121e1515", + "metadata": {}, + "source": [ + "## 1. Provenance\n", + "\n", + "This notebook uses the retained `param-eq-haskell` checkout and its archived\n", + "paper outputs:\n", + "- `param-eq-haskell`, which contains the archived experiment tables and the\n", + " original plotting notebook used to build the paper figures\n", + "\n", + "The normalized artifacts already include the paper cleanup from the original\n", + "notebook:\n", + "- drop `FEAT`\n", + "- rename `SRjl -> PySR`\n", + "- rename `GOMEA -> GP-GOMEA`\n", + "- drop rows `16, 162` for Pagie\n", + "- drop row `1` for Kotanchek\n", + "- drop rows with missing rank data" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "4214ff28", + "metadata": { + "execution": { + "iopub.execute_input": "2026-04-04T18:00:31.298615Z", + "iopub.status.busy": "2026-04-04T18:00:31.298506Z", + "iopub.status.idle": "2026-04-04T18:00:31.301137Z", + "shell.execute_reply": "2026-04-04T18:00:31.300829Z" + } + }, + "outputs": [ + { + "data": { + "text/markdown": [ + "## Artifact Overview\n", + "\n", + "- Paper rows available after cleanup: `341`\n", + "- Pagie rows after cleanup: `174`\n", + "- Kotanchek rows after cleanup: `167`\n", + "- Pagie runtime scatter rows: `213`" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "summary = [\n", + " f\"- Paper rows available after cleanup: `{len(haskell)}`\",\n", + " f\"- Pagie rows after cleanup: `{int((haskell['dataset'] == 'pagie').sum())}`\",\n", + " f\"- Kotanchek rows after cleanup: `{int((haskell['dataset'] == 'kotanchek').sum())}`\",\n", + " f\"- Pagie runtime scatter rows: `{len(runtime_rows)}`\",\n", + "]\n", + "display(Markdown(\"## Artifact Overview\\n\\n\" + \"\\n\".join(summary)))" + ] + }, + { + "cell_type": "markdown", + "id": "b5fbed04", + "metadata": {}, + "source": [ + "## 2. Recreating the Haskell Paper Figures\n", + "\n", + "The next figures use exactly the same formulas as the archived Haskell\n", + "plotting notebook." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "5f417747", + "metadata": { + "execution": { + "iopub.execute_input": "2026-04-04T18:00:31.302156Z", + "iopub.status.busy": "2026-04-04T18:00:31.302079Z", + "iopub.status.idle": "2026-04-04T18:00:31.652693Z", + "shell.execute_reply": "2026-04-04T18:00:31.652318Z" + } + }, + "outputs": [ + { + "data": { + "image/svg+xml": [ + "−1.5−1.0−0.50.00.5ratioEqSatSympySympy + EqSatBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmFigure 3 analog: Pagie reduction ratios from archived Haskell results" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/markdown": [ + "**What this shows:** For the archived Haskell Pagie rows, this is the target paper-era pattern: EqSat is helpful on its own, Sympy alone is weaker or can regress, and the combined pipeline recovers much of that gap. A faithful Egglog baseline should preserve that separation between the three modes." + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "show_chart(\n", + " boxplot_chart(\n", + " melt_methods(haskell[haskell[\"dataset\"] == \"pagie\"], columns=haskell_box_methods, value_name=\"ratio\"),\n", + " y=\"ratio\",\n", + " title=\"Figure 3 analog: Pagie reduction ratios from archived Haskell results\",\n", + " )\n", + ")\n", + "show_note(\n", + " summarize_haskell_reduction_ratios(\n", + " melt_methods(haskell[haskell[\"dataset\"] == \"pagie\"], columns=haskell_box_methods, value_name=\"ratio\"),\n", + " context=\"the archived Haskell Pagie rows\",\n", + " )\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "88b37e05", + "metadata": { + "execution": { + "iopub.execute_input": "2026-04-04T18:00:31.654936Z", + "iopub.status.busy": "2026-04-04T18:00:31.654844Z", + "iopub.status.idle": "2026-04-04T18:00:31.727777Z", + "shell.execute_reply": "2026-04-04T18:00:31.726941Z" + } + }, + "outputs": [ + { + "data": { + "image/svg+xml": [ + "−0.8−0.6−0.4−0.20.00.20.40.60.8ratioSympy + EqSat x EqSatSympy x EqSatBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmFigure 4 analog: Pagie EqSat vs Sympy comparisons from archived Haskell results" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/markdown": [ + "**What this shows:** For the archived Haskell Pagie comparisons, the archived baseline says EqSat is doing real extra work beyond Sympy preprocessing alone. That means a faithful Egglog reproduction should still show a visible advantage for rerunning EqSat after the symbolic preprocessing stage." + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "show_chart(\n", + " boxplot_chart(\n", + " melt_methods(haskell[haskell[\"dataset\"] == \"pagie\"], columns=comparison_methods, value_name=\"ratio\"),\n", + " y=\"ratio\",\n", + " title=\"Figure 4 analog: Pagie EqSat vs Sympy comparisons from archived Haskell results\",\n", + " )\n", + ")\n", + "show_note(\n", + " summarize_haskell_comparison_ratios(\n", + " melt_methods(haskell[haskell[\"dataset\"] == \"pagie\"], columns=comparison_methods, value_name=\"ratio\"),\n", + " context=\"the archived Haskell Pagie comparisons\",\n", + " )\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "10a702c4", + "metadata": { + "execution": { + "iopub.execute_input": "2026-04-04T18:00:31.729306Z", + "iopub.status.busy": "2026-04-04T18:00:31.729196Z", + "iopub.status.idle": "2026-04-04T18:00:31.805213Z", + "shell.execute_reply": "2026-04-04T18:00:31.804834Z" + } + }, + "outputs": [ + { + "data": { + "image/svg+xml": [ + "−1.5−1.0−0.50.00.5ratioEqSatSympySympy + EqSatBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmFigure 5 analog: Kotanchek reduction ratios from archived Haskell results" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/markdown": [ + "**What this shows:** For the archived Haskell Kotanchek rows, this is the target paper-era pattern: EqSat is helpful on its own, Sympy alone is weaker or can regress, and the combined pipeline recovers much of that gap. A faithful Egglog baseline should preserve that separation between the three modes." + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "show_chart(\n", + " boxplot_chart(\n", + " melt_methods(haskell[haskell[\"dataset\"] == \"kotanchek\"], columns=haskell_box_methods, value_name=\"ratio\"),\n", + " y=\"ratio\",\n", + " title=\"Figure 5 analog: Kotanchek reduction ratios from archived Haskell results\",\n", + " )\n", + ")\n", + "show_note(\n", + " summarize_haskell_reduction_ratios(\n", + " melt_methods(haskell[haskell[\"dataset\"] == \"kotanchek\"], columns=haskell_box_methods, value_name=\"ratio\"),\n", + " context=\"the archived Haskell Kotanchek rows\",\n", + " )\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "22a8b645", + "metadata": { + "execution": { + "iopub.execute_input": "2026-04-04T18:00:31.806380Z", + "iopub.status.busy": "2026-04-04T18:00:31.806308Z", + "iopub.status.idle": "2026-04-04T18:00:31.868888Z", + "shell.execute_reply": "2026-04-04T18:00:31.868435Z" + } + }, + "outputs": [ + { + "data": { + "image/svg+xml": [ + "−0.4−0.20.00.20.40.6ratioSympy + EqSat x EqSatSympy x EqSatBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmFigure 6 analog: Kotanchek EqSat vs Sympy comparisons from archived Haskell results" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/markdown": [ + "**What this shows:** For the archived Haskell Kotanchek comparisons, the archived baseline says EqSat is doing real extra work beyond Sympy preprocessing alone. That means a faithful Egglog reproduction should still show a visible advantage for rerunning EqSat after the symbolic preprocessing stage." + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "show_chart(\n", + " boxplot_chart(\n", + " melt_methods(haskell[haskell[\"dataset\"] == \"kotanchek\"], columns=comparison_methods, value_name=\"ratio\"),\n", + " y=\"ratio\",\n", + " title=\"Figure 6 analog: Kotanchek EqSat vs Sympy comparisons from archived Haskell results\",\n", + " )\n", + ")\n", + "show_note(\n", + " summarize_haskell_comparison_ratios(\n", + " melt_methods(haskell[haskell[\"dataset\"] == \"kotanchek\"], columns=comparison_methods, value_name=\"ratio\"),\n", + " context=\"the archived Haskell Kotanchek comparisons\",\n", + " )\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "3be5aa0e", + "metadata": { + "execution": { + "iopub.execute_input": "2026-04-04T18:00:31.869914Z", + "iopub.status.busy": "2026-04-04T18:00:31.869838Z", + "iopub.status.idle": "2026-04-04T18:00:31.939105Z", + "shell.execute_reply": "2026-04-04T18:00:31.938655Z" + } + }, + "outputs": [ + { + "data": { + "image/svg+xml": [ + "−101234567simplified params - rankkotanchekpagieBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmFigure 7 analog: archived Haskell simplified params minus rank" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/markdown": [ + "**What this shows:** For the archived Haskell runs, the archived baseline usually lands at or very near the target rank. So the reproduction target here is not just qualitative simplification, but getting most rows down to the rank target or within one." + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "show_chart(rank_boxplot(haskell, title=\"Figure 7 analog: archived Haskell simplified params minus rank\"))\n", + "show_note(summarize_rank_target(haskell, context=\"the archived Haskell runs\"))" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "59d82808", + "metadata": { + "execution": { + "iopub.execute_input": "2026-04-04T18:00:31.940612Z", + "iopub.status.busy": "2026-04-04T18:00:31.940495Z", + "iopub.status.idle": "2026-04-04T18:00:31.989676Z", + "shell.execute_reply": "2026-04-04T18:00:31.989308Z" + } + }, + "outputs": [ + { + "data": { + "image/svg+xml": [ + "050100150200250300350400450node_count02004006008001,0001,2001,400runtime_msArchived HaskellsourceFigure 9 analog: archived Haskell runtime vs number of nodes" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/markdown": [ + "**What this shows:** For the archived Haskell runtime rows, the runtime tail clearly grows with expression size. This is the baseline difficulty pattern Egglog should match qualitatively even if exact runtimes differ." + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "show_chart(\n", + " runtime_scatter(\n", + " runtime_rows.assign(source=\"Archived Haskell\"),\n", + " x=\"node_count\",\n", + " y=\"runtime_ms\",\n", + " color=\"source\",\n", + " title=\"Figure 9 analog: archived Haskell runtime vs number of nodes\",\n", + " )\n", + ")\n", + "show_note(\n", + " summarize_runtime_baseline(\n", + " runtime_rows.assign(source=\"Archived Haskell\"),\n", + " x=\"node_count\",\n", + " y=\"runtime_ms\",\n", + " context=\"the archived Haskell runtime rows\",\n", + " )\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "754d0171", + "metadata": { + "execution": { + "iopub.execute_input": "2026-04-04T18:00:31.990658Z", + "iopub.status.busy": "2026-04-04T18:00:31.990569Z", + "iopub.status.idle": "2026-04-04T18:00:31.996273Z", + "shell.execute_reply": "2026-04-04T18:00:31.996001Z" + } + }, + "outputs": [ + { + "data": { + "text/markdown": [ + "### Table 4 analog from archived Haskell results" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
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datasetalgorithmΔ == 0Δ <= 1
0kotanchekBingo22.2266.67
1kotanchekEPLEX18.7537.50
2kotanchekGP-GOMEANaNNaN
3kotanchekOperon74.0794.44
4kotanchekPySRNaNNaN
5kotanchekSBP65.22100.00
6pagieBingo27.7833.33
7pagieEPLEX28.0045.45
8pagieGP-GOMEANaNNaN
9pagieOperon66.67100.00
10pagiePySRNaNNaN
11pagieSBP47.6260.00
\n", + "
" + ], + "text/plain": [ + " dataset algorithm Δ == 0 Δ <= 1\n", + "0 kotanchek Bingo 22.22 66.67\n", + "1 kotanchek EPLEX 18.75 37.50\n", + "2 kotanchek GP-GOMEA NaN NaN\n", + "3 kotanchek Operon 74.07 94.44\n", + "4 kotanchek PySR NaN NaN\n", + "5 kotanchek SBP 65.22 100.00\n", + "6 pagie Bingo 27.78 33.33\n", + "7 pagie EPLEX 28.00 45.45\n", + "8 pagie GP-GOMEA NaN NaN\n", + "9 pagie Operon 66.67 100.00\n", + "10 pagie PySR NaN NaN\n", + "11 pagie SBP 47.62 60.00" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "display(Markdown(\"### Table 4 analog from archived Haskell results\"))\n", + "display(table4_wide(haskell_table4, [\"dataset\", \"algorithm\"]).round(2))" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "6cf2531d", + "metadata": { + "execution": { + "iopub.execute_input": "2026-04-04T18:00:31.997306Z", + "iopub.status.busy": "2026-04-04T18:00:31.997230Z", + "iopub.status.idle": "2026-04-04T18:00:31.999071Z", + "shell.execute_reply": "2026-04-04T18:00:31.998832Z" + } + }, + "outputs": [ + { + "data": { + "text/markdown": [ + "### Figure 8 status\n", + "\n", + "The provided archives do not include the bulk Feynman/Operon result table needed to reproduce Figure 8 exactly, so this notebook marks that figure as unavailable rather than fabricating an approximation." + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "display(\n", + " Markdown(\n", + " \"### Figure 8 status\\n\\n\"\n", + " \"The provided archives do not include the bulk Feynman/Operon result table \"\n", + " \"needed to reproduce Figure 8 exactly, so this notebook marks that figure \"\n", + " \"as unavailable rather than fabricating an approximation.\"\n", + " )\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "5f6c9154", + "metadata": {}, + "source": [ + "## 3. Egglog Translation of the Older Hegg-Era Pipeline\n", + "\n", + "The Egglog runner uses the archived experiment harness as the baseline:\n", + "- the older expression language from the paper-era code\n", + "- the paper-era extraction cost model\n", + "- the `FixTree.hs` rewrite loop and backoff scheduler" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "5c5ca938", + "metadata": { + "execution": { + "iopub.execute_input": "2026-04-04T18:00:32.000007Z", + "iopub.status.busy": "2026-04-04T18:00:31.999944Z", + "iopub.status.idle": "2026-04-04T18:00:32.002215Z", + "shell.execute_reply": "2026-04-04T18:00:32.001837Z" + } + }, + "outputs": [ + { + "data": { + "text/markdown": [ + "## Egglog Run Overview\n", + "\n", + "- Egglog baseline original-input status counts: `{'saturated': 310, 'timeout': 31}`\n", + "- Egglog baseline sympy-input status counts: `{'saturated': 340, 'timeout': 1}`" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "baseline_summary = [\n", + " f\"- Egglog baseline original-input status counts: `{egglog_baseline['orig_status'].value_counts().to_dict()}`\",\n", + " f\"- Egglog baseline sympy-input status counts: `{egglog_baseline['sympy_status'].value_counts().to_dict()}`\",\n", + "]\n", + "display(Markdown(\"## Egglog Run Overview\\n\\n\" + \"\\n\".join(baseline_summary)))" + ] + }, + { + "cell_type": "markdown", + "id": "139fe44f", + "metadata": {}, + "source": [ + "## 4. Haskell vs Egglog Comparison\n", + "\n", + "The next figures mirror the paper plots with Egglog data. For the Egglog\n", + "charts, \"Sympy\" means the archived Sympy output re-counted by the Egglog\n", + "parser, and \"Sympy + EqSat\" means running the Egglog EqSat translation on the\n", + "archived Sympy expression." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "9593151c", + "metadata": { + "execution": { + "iopub.execute_input": "2026-04-04T18:00:32.002992Z", + "iopub.status.busy": "2026-04-04T18:00:32.002927Z", + "iopub.status.idle": "2026-04-04T18:00:32.073325Z", + "shell.execute_reply": "2026-04-04T18:00:32.072948Z" + } + }, + "outputs": [ + { + "data": { + "image/svg+xml": [ + "0.00.20.40.60.81.0ratioEqSatSympySympy + EqSatBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmEgglog baseline analog of Figure 3 (Pagie)" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/markdown": [ + "**What this shows:** For the Egglog baseline Pagie rows, Egglog does not preserve the method separation visible in the archived Haskell baseline. The three modes collapse toward the same reduction level, which argues that Egglog is not yet reproducing the distinct effect of each pipeline stage." + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "show_chart(\n", + " boxplot_chart(\n", + " melt_methods(\n", + " egglog_baseline[egglog_baseline[\"dataset\"] == \"pagie\"], columns=haskell_box_methods, value_name=\"ratio\"\n", + " ),\n", + " y=\"ratio\",\n", + " title=\"Egglog baseline analog of Figure 3 (Pagie)\",\n", + " )\n", + ")\n", + "show_note(\n", + " summarize_egglog_reduction_vs_haskell(\n", + " melt_methods(egglog_baseline[egglog_baseline[\"dataset\"] == \"pagie\"], columns=haskell_box_methods, value_name=\"ratio\"),\n", + " melt_methods(haskell[haskell[\"dataset\"] == \"pagie\"], columns=haskell_box_methods, value_name=\"ratio\"),\n", + " context=\"the Egglog baseline Pagie rows\",\n", + " )\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "24395664", + "metadata": { + "execution": { + "iopub.execute_input": "2026-04-04T18:00:32.074235Z", + "iopub.status.busy": "2026-04-04T18:00:32.074171Z", + "iopub.status.idle": "2026-04-04T18:00:32.128546Z", + "shell.execute_reply": "2026-04-04T18:00:32.128129Z" + } + }, + "outputs": [ + { + "data": { + "image/svg+xml": [ + "−0.20.00.20.40.60.81.0ratioSympy + EqSat x EqSatSympy x EqSatBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmEgglog baseline analog of Figure 4 (Pagie)" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/markdown": [ + "**What this shows:** For the Egglog baseline Pagie comparisons, Egglog largely loses the extra gain that archived Haskell gets from rerunning EqSat after Sympy. That supports the current hypothesis that the remaining gap is in how Egglog reproduces the rewrite schedule and A/C-heavy search, not in the basic parser or metric bookkeeping." + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "show_chart(\n", + " boxplot_chart(\n", + " melt_methods(\n", + " egglog_baseline[egglog_baseline[\"dataset\"] == \"pagie\"], columns=comparison_methods, value_name=\"ratio\"\n", + " ),\n", + " y=\"ratio\",\n", + " title=\"Egglog baseline analog of Figure 4 (Pagie)\",\n", + " )\n", + ")\n", + "show_note(\n", + " summarize_egglog_comparison_vs_haskell(\n", + " melt_methods(egglog_baseline[egglog_baseline[\"dataset\"] == \"pagie\"], columns=comparison_methods, value_name=\"ratio\"),\n", + " melt_methods(haskell[haskell[\"dataset\"] == \"pagie\"], columns=comparison_methods, value_name=\"ratio\"),\n", + " context=\"the Egglog baseline Pagie comparisons\",\n", + " )\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "a980fa8f", + "metadata": { + "execution": { + "iopub.execute_input": "2026-04-04T18:00:32.129597Z", + "iopub.status.busy": "2026-04-04T18:00:32.129531Z", + "iopub.status.idle": "2026-04-04T18:00:32.196403Z", + "shell.execute_reply": "2026-04-04T18:00:32.196092Z" + } + }, + "outputs": [ + { + "data": { + "image/svg+xml": [ + "0.00.20.40.60.81.0ratioEqSatSympySympy + EqSatBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmEgglog baseline analog of Figure 5 (Kotanchek)" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/markdown": [ + "**What this shows:** For the Egglog baseline Kotanchek rows, Egglog does not preserve the method separation visible in the archived Haskell baseline. The three modes collapse toward the same reduction level, which argues that Egglog is not yet reproducing the distinct effect of each pipeline stage." + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "show_chart(\n", + " boxplot_chart(\n", + " melt_methods(\n", + " egglog_baseline[egglog_baseline[\"dataset\"] == \"kotanchek\"], columns=haskell_box_methods, value_name=\"ratio\"\n", + " ),\n", + " y=\"ratio\",\n", + " title=\"Egglog baseline analog of Figure 5 (Kotanchek)\",\n", + " )\n", + ")\n", + "show_note(\n", + " summarize_egglog_reduction_vs_haskell(\n", + " melt_methods(egglog_baseline[egglog_baseline[\"dataset\"] == \"kotanchek\"], columns=haskell_box_methods, value_name=\"ratio\"),\n", + " melt_methods(haskell[haskell[\"dataset\"] == \"kotanchek\"], columns=haskell_box_methods, value_name=\"ratio\"),\n", + " context=\"the Egglog baseline Kotanchek rows\",\n", + " )\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "f9435b65", + "metadata": { + "execution": { + "iopub.execute_input": "2026-04-04T18:00:32.197345Z", + "iopub.status.busy": "2026-04-04T18:00:32.197283Z", + "iopub.status.idle": "2026-04-04T18:00:32.326475Z", + "shell.execute_reply": "2026-04-04T18:00:32.326102Z" + } + }, + "outputs": [ + { + "data": { + "image/svg+xml": [ + "−0.20.00.20.40.60.81.0ratioSympy + EqSat x EqSatSympy x EqSatBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmEgglog baseline analog of Figure 6 (Kotanchek)" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/markdown": [ + "**What this shows:** For the Egglog baseline Kotanchek comparisons, Egglog largely loses the extra gain that archived Haskell gets from rerunning EqSat after Sympy. That supports the current hypothesis that the remaining gap is in how Egglog reproduces the rewrite schedule and A/C-heavy search, not in the basic parser or metric bookkeeping." + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "show_chart(\n", + " boxplot_chart(\n", + " melt_methods(\n", + " egglog_baseline[egglog_baseline[\"dataset\"] == \"kotanchek\"], columns=comparison_methods, value_name=\"ratio\"\n", + " ),\n", + " y=\"ratio\",\n", + " title=\"Egglog baseline analog of Figure 6 (Kotanchek)\",\n", + " )\n", + ")\n", + "show_note(\n", + " summarize_egglog_comparison_vs_haskell(\n", + " melt_methods(egglog_baseline[egglog_baseline[\"dataset\"] == \"kotanchek\"], columns=comparison_methods, value_name=\"ratio\"),\n", + " melt_methods(haskell[haskell[\"dataset\"] == \"kotanchek\"], columns=comparison_methods, value_name=\"ratio\"),\n", + " context=\"the Egglog baseline Kotanchek comparisons\",\n", + " )\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "7591cc37", + "metadata": { + "execution": { + "iopub.execute_input": "2026-04-04T18:00:32.328292Z", + "iopub.status.busy": "2026-04-04T18:00:32.327977Z", + "iopub.status.idle": "2026-04-04T18:00:32.419170Z", + "shell.execute_reply": "2026-04-04T18:00:32.418669Z" + } + }, + "outputs": [ + { + "data": { + "image/svg+xml": [ + "−2−101234567simplified params - rankkotanchekpagieBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmEgglog baseline analog of Figure 7" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/markdown": [ + "**What this shows:** For the Egglog baseline runs, Egglog is close to the archived baseline on the coarse rank target. So the remaining mismatch is not that Egglog fails to simplify at all; it is that it still misses some of the exact final forms and some hard cases." + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "show_chart(rank_boxplot(egglog_baseline, title=\"Egglog baseline analog of Figure 7\"))\n", + "show_note(summarize_egglog_rank_vs_haskell(egglog_baseline, haskell, context=\"the Egglog baseline runs\"))" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "46560724", + "metadata": { + "execution": { + "iopub.execute_input": "2026-04-04T18:00:32.420604Z", + "iopub.status.busy": "2026-04-04T18:00:32.420535Z", + "iopub.status.idle": "2026-04-04T18:00:32.530365Z", + "shell.execute_reply": "2026-04-04T18:00:32.529971Z" + } + }, + "outputs": [ + { + "data": { + "image/svg+xml": [ + "0102030405060708090orig_nodes020,00040,00060,00080,000100,000120,000orig_runtime_msEgglog baselinesourceEgglog baseline analog of Figure 9 (Pagie original expressions)" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/markdown": [ + "**What this shows:** For the Egglog baseline Pagie originals, runtime does not track size as strongly as in the archived baseline, which would suggest a different failure mode." + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "show_chart(\n", + " runtime_scatter(\n", + " egglog_baseline[egglog_baseline[\"dataset\"] == \"pagie\"].assign(source=\"Egglog baseline\"),\n", + " x=\"orig_nodes\",\n", + " y=\"orig_runtime_ms\",\n", + " color=\"source\",\n", + " title=\"Egglog baseline analog of Figure 9 (Pagie original expressions)\",\n", + " )\n", + ")\n", + "show_note(\n", + " summarize_egglog_runtime(\n", + " egglog_baseline[egglog_baseline[\"dataset\"] == \"pagie\"].assign(source=\"Egglog baseline\"),\n", + " x=\"orig_nodes\",\n", + " y=\"orig_runtime_ms\",\n", + " context=\"the Egglog baseline Pagie originals\",\n", + " )\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "62b1afcf", + "metadata": { + "execution": { + "iopub.execute_input": "2026-04-04T18:00:32.532757Z", + "iopub.status.busy": "2026-04-04T18:00:32.532662Z", + "iopub.status.idle": "2026-04-04T18:00:32.538157Z", + "shell.execute_reply": "2026-04-04T18:00:32.537791Z" + } + }, + "outputs": [ + { + "data": { + "text/markdown": [ + "### Table 4 analogs for Egglog" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
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implementationdatasetalgorithmΔ == 0Δ <= 1
0Egglog baselinekotanchekBingo22.2266.67
1Egglog baselinekotanchekEPLEX12.5025.00
2Egglog baselinekotanchekGP-GOMEANaNNaN
3Egglog baselinekotanchekOperon62.9661.11
4Egglog baselinekotanchekPySRNaNNaN
5Egglog baselinekotanchekSBP60.8790.91
6Egglog baselinepagieBingo50.0066.67
7Egglog baselinepagieEPLEX32.0040.91
8Egglog baselinepagieGP-GOMEANaNNaN
9Egglog baselinepagieOperon50.0080.00
10Egglog baselinepagiePySRNaNNaN
11Egglog baselinepagieSBP42.8660.00
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" + ], + "text/plain": [ + " implementation dataset algorithm Δ == 0 Δ <= 1\n", + "0 Egglog baseline kotanchek Bingo 22.22 66.67\n", + "1 Egglog baseline kotanchek EPLEX 12.50 25.00\n", + "2 Egglog baseline kotanchek GP-GOMEA NaN NaN\n", + "3 Egglog baseline kotanchek Operon 62.96 61.11\n", + "4 Egglog baseline kotanchek PySR NaN NaN\n", + "5 Egglog baseline kotanchek SBP 60.87 90.91\n", + "6 Egglog baseline pagie Bingo 50.00 66.67\n", + "7 Egglog baseline pagie EPLEX 32.00 40.91\n", + "8 Egglog baseline pagie GP-GOMEA NaN NaN\n", + "9 Egglog baseline pagie Operon 50.00 80.00\n", + "10 Egglog baseline pagie PySR NaN NaN\n", + "11 Egglog baseline pagie SBP 42.86 60.00" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "display(Markdown(\"### Table 4 analogs for Egglog\"))\n", + "display(table4_wide(egglog_table4, [\"implementation\", \"dataset\", \"algorithm\"]).round(2))" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "e0e1ad61", + "metadata": { + "execution": { + "iopub.execute_input": "2026-04-04T18:00:32.539015Z", + "iopub.status.busy": "2026-04-04T18:00:32.538957Z", + "iopub.status.idle": "2026-04-04T18:00:32.542110Z", + "shell.execute_reply": "2026-04-04T18:00:32.541853Z" + } + }, + "outputs": [ + { + "data": { + "text/markdown": [ + "### Exact-match counts against archived Haskell parameter totals" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
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modeinputexact_param_matchestotal_rows
0Egglog baselineoriginal expressions286341
1Egglog baselinesympy expressions125341
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" + ], + "text/plain": [ + " mode input exact_param_matches total_rows\n", + "0 Egglog baseline original expressions 286 341\n", + "1 Egglog baseline sympy expressions 125 341" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "exact_match_rows = pd.DataFrame([\n", + " {\n", + " \"mode\": \"Egglog baseline\",\n", + " \"input\": \"original expressions\",\n", + " \"exact_param_matches\": int(baseline_compare[\"orig_param_match\"].sum()),\n", + " \"total_rows\": len(baseline_compare),\n", + " },\n", + " {\n", + " \"mode\": \"Egglog baseline\",\n", + " \"input\": \"sympy expressions\",\n", + " \"exact_param_matches\": int(baseline_compare[\"sympy_param_match\"].sum()),\n", + " \"total_rows\": len(baseline_compare),\n", + " },\n", + "])\n", + "display(Markdown(\"### Exact-match counts against archived Haskell parameter totals\"))\n", + "display(exact_match_rows)" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "e00fbd04", + "metadata": { + "execution": { + "iopub.execute_input": "2026-04-04T18:00:32.543026Z", + "iopub.status.busy": "2026-04-04T18:00:32.542940Z", + "iopub.status.idle": "2026-04-04T18:00:32.599238Z", + "shell.execute_reply": "2026-04-04T18:00:32.598845Z" + } + }, + "outputs": [ + { + "data": { + "image/svg+xml": [ + "02468101214Archived Haskell final params02468101214Egglog baseline final paramsexact matchmismatchEgglog baseline vs archived Haskell final parameter counts" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/markdown": [ + "**What this shows:** For saturated original-expression rows, most sit on or very near the diagonal. That supports the hypothesis that Egglog is partially reproducing the Haskell baseline on final parameter counts, but not yet meeting it exactly across the whole corpus." + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "baseline_orig_scatter = baseline_compare[baseline_compare[\"orig_status\"] == \"saturated\"].copy()\n", + "baseline_orig_scatter[\"match\"] = baseline_orig_scatter[\"orig_param_match\"].map({True: \"exact match\", False: \"mismatch\"})\n", + "show_chart(\n", + " alt.Chart(baseline_orig_scatter)\n", + " .mark_circle(size=78, opacity=0.82, stroke=\"white\", strokeWidth=0.85)\n", + " .encode(\n", + " x=alt.X(\"simpl_params_haskell:Q\", title=\"Archived Haskell final params\"),\n", + " y=alt.Y(\"simpl_params_egglog:Q\", title=\"Egglog baseline final params\"),\n", + " color=alt.Color(\n", + " \"match:N\",\n", + " title=None,\n", + " scale=alt.Scale(domain=[\"exact match\", \"mismatch\"], range=[POINT_COLOR, MISMATCH_COLOR]),\n", + " ),\n", + " tooltip=[\"dataset\", \"algorithm\", \"algo_row\", \"simpl_params_haskell\", \"simpl_params_egglog\", \"orig_rendered\"],\n", + " )\n", + " .properties(title=\"Egglog baseline vs archived Haskell final parameter counts\", width=360, height=320)\n", + ")\n", + "show_note(summarize_match_scatter(baseline_orig_scatter, context=\"saturated original-expression rows\"))" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "ee28f54e", + "metadata": { + "execution": { + "iopub.execute_input": "2026-04-04T18:00:32.600635Z", + "iopub.status.busy": "2026-04-04T18:00:32.600551Z", + "iopub.status.idle": "2026-04-04T18:00:32.604866Z", + "shell.execute_reply": "2026-04-04T18:00:32.604543Z" + } + }, + "outputs": [ + { + "data": { + "text/markdown": [ + "### Egglog baseline summary" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
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modeorig_non_saturated_rowssympy_non_saturated_rowsmedian_orig_runtime_msmedian_sympy_runtime_ms
0Egglog baseline311196.97177.62
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" + ], + "text/plain": [ + " mode orig_non_saturated_rows sympy_non_saturated_rows \\\n", + "0 Egglog baseline 31 1 \n", + "\n", + " median_orig_runtime_ms median_sympy_runtime_ms \n", + "0 196.97 177.62 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "baseline_summary_frame = pd.DataFrame([\n", + " {\n", + " \"mode\": \"Egglog baseline\",\n", + " \"orig_non_saturated_rows\": int((egglog_baseline[\"orig_status\"] != \"saturated\").sum()),\n", + " \"sympy_non_saturated_rows\": int((egglog_baseline[\"sympy_status\"] != \"saturated\").sum()),\n", + " \"median_orig_runtime_ms\": float(egglog_baseline[\"orig_runtime_ms\"].median()),\n", + " \"median_sympy_runtime_ms\": float(egglog_baseline[\"sympy_runtime_ms\"].median()),\n", + " },\n", + "])\n", + "display(Markdown(\"### Egglog baseline summary\"))\n", + "display(baseline_summary_frame.round(2))" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "cdbd81bc", + "metadata": { + "execution": { + "iopub.execute_input": "2026-04-04T18:00:32.605759Z", + "iopub.status.busy": "2026-04-04T18:00:32.605706Z", + "iopub.status.idle": "2026-04-04T18:00:32.634067Z", + "shell.execute_reply": "2026-04-04T18:00:32.633682Z" + } + }, + "outputs": [ + { + "data": { + "image/svg+xml": [ + "saturatedtimeoutEgglog baseline050100150200250300350rowsEgglog original-input statuses by mode" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/markdown": [ + "**What this shows:** For Egglog original-input runs, most finish in the normal saturated path. That means the current baseline is usable for comparison work, but the remaining unsaturated tail is still large enough to matter for paper-faithful reproduction." + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "show_chart(\n", + " status_summary_chart(\n", + " status_rows.groupby([\"mode\", \"status\"]).size().reset_index(name=\"count\"),\n", + " title=\"Egglog original-input statuses by mode\",\n", + " )\n", + ")\n", + "show_note(\n", + " summarize_status_counts(\n", + " status_rows.groupby([\"mode\", \"status\"]).size().reset_index(name=\"count\"),\n", + " context=\"Egglog original-input runs\",\n", + " )\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "id": "13d611ab", + "metadata": { + "execution": { + "iopub.execute_input": "2026-04-04T18:00:32.635152Z", + "iopub.status.busy": "2026-04-04T18:00:32.635062Z", + "iopub.status.idle": "2026-04-04T18:00:32.638241Z", + "shell.execute_reply": "2026-04-04T18:00:32.637906Z" + } + }, + "outputs": [ + { + "data": { + "text/markdown": [ + "## Comparison Summary\n", + "\n", + "- Egglog baseline exactly matches archived Haskell final parameter counts on `286` of `341` original-expression rows.\n", + "- Egglog baseline exactly matches archived Haskell `Sympy + EqSat` parameter counts on `125` of `341` sympy-expression rows.\n", + "- Egglog baseline original-input timeouts or failures occur on `31` of `341` paper rows.\n", + "- Egglog baseline sympy-input timeouts or failures occur on `1` of `341` paper rows." + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "display(\n", + " Markdown(\n", + " \"\\n\".join([\n", + " \"## Comparison Summary\",\n", + " \"\",\n", + " f\"- Egglog baseline exactly matches archived Haskell final parameter counts on `{int(baseline_compare['orig_param_match'].sum())}` of `{len(baseline_compare)}` original-expression rows.\",\n", + " f\"- Egglog baseline exactly matches archived Haskell `Sympy + EqSat` parameter counts on `{int(baseline_compare['sympy_param_match'].sum())}` of `{len(baseline_compare)}` sympy-expression rows.\",\n", + " f\"- Egglog baseline original-input timeouts or failures occur on `{int((egglog_baseline['orig_status'] != 'saturated').sum())}` of `{len(egglog_baseline)}` paper rows.\",\n", + " f\"- Egglog baseline sympy-input timeouts or failures occur on `{int((egglog_baseline['sympy_status'] != 'saturated').sum())}` of `{len(egglog_baseline)}` paper rows.\",\n", + " ])\n", + " )\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "eba6500b", + "metadata": {}, + "source": [ + "## 5. Current Limitations and Likely A/C Effects\n", + "\n", + "The statements below are derived from the loaded artifacts and then connected\n", + "back to the rewrite structure in the archived source." + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "id": "e3c2dda4", + "metadata": { + "execution": { + "iopub.execute_input": "2026-04-04T18:00:32.639259Z", + "iopub.status.busy": "2026-04-04T18:00:32.639184Z", + "iopub.status.idle": "2026-04-04T18:00:32.646558Z", + "shell.execute_reply": "2026-04-04T18:00:32.646267Z" + } + }, + "outputs": [ + { + "data": { + "text/markdown": [ + "## Conclusion\n", + "\n", + "- The Egglog baseline saturates on `310` of `341` original paper rows, but on `340` of `341` archived Sympy rows.\n", + "- The archived Sympy inputs therefore remove `30` baseline failures, which is consistent with the paper's observation that preprocessing can cut down the parameter-reduction problem before EqSat runs.\n", + "- Using the archived source-node counts for the same rows, the median original node count for Egglog baseline failures is `45.0`, versus `30.0` for saturated rows; the runtime tail still tracks expression size.\n", + "- Failures are concentrated in `Operon (14), SRjl (9), EPLEX (4), Bingo (2), GOMEA (1), SBP (1)`, which points to specific expression families rather than a uniform issue across all algorithms.\n", + "- The baseline still has a median original-input gap-to-rank of `0.00`, versus `0.00` in the archived Haskell results.\n", + "\n", + "The archived rule sets suggest that A/C pressure is most likely to affect:\n", + "- `+` and `*` associativity and commutativity rewrites, especially when chained through factorization-style rewrites and reciprocal rewrites.\n", + "- distributivity and refactorization rules that depend on binary tree shape, such as `(x*y) + (x*z) -> x*(y+z)` and its surrounding normalization rules.\n", + "- power-merging and logarithm rewrites, where repeated multiplication and reassociation can create many equivalent binary trees before extraction.\n", + "\n", + "The best follow-up points for a multiset experiment are:\n", + "- additive islands that currently rely on repeated binary reassociation before a factorization rewrite becomes visible\n", + "- multiplicative islands that feed reciprocal and logarithm rewrites\n", + "- classes where constant-analysis guards still block paper rewrites that the Haskell implementation can fire after rebuild\n", + "\n", + "The expected outcomes to test next are:\n", + "- a shorter runtime tail on the Pagie expressions that currently timeout in Egglog baseline\n", + "- fewer rows where Egglog remains above the archived rank target after simplification\n", + "- less dependence on repeated binary reassociation once A/C-heavy structure is containerized directly" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "baseline_failures = egglog_baseline[egglog_baseline[\"orig_status\"] != \"saturated\"].copy()\n", + "failure_by_algorithm = baseline_failures.groupby(\"algorithm\").size().sort_values(ascending=False)\n", + "sympy_success_delta = int(\n", + " (egglog_baseline[\"sympy_status\"] == \"saturated\").sum() - (egglog_baseline[\"orig_status\"] == \"saturated\").sum()\n", + ")\n", + "source_node_sizes = haskell[[\"dataset\", \"raw_index\", \"algorithm\", \"orig_nodes\"]].rename(\n", + " columns={\"orig_nodes\": \"source_orig_nodes\"}\n", + ")\n", + "baseline_failures_with_sizes = baseline_failures.merge(\n", + " source_node_sizes, on=[\"dataset\", \"raw_index\", \"algorithm\"], how=\"left\"\n", + ")\n", + "baseline_sat_with_sizes = egglog_baseline[egglog_baseline[\"orig_status\"] == \"saturated\"].merge(\n", + " source_node_sizes,\n", + " on=[\"dataset\", \"raw_index\", \"algorithm\"],\n", + " how=\"left\",\n", + ")\n", + "baseline_timeout_median_nodes = baseline_failures_with_sizes[\"source_orig_nodes\"].median()\n", + "baseline_sat_median_nodes = baseline_sat_with_sizes[\"source_orig_nodes\"].median()\n", + "\n", + "conclusion_lines = [\n", + " f\"- The Egglog baseline saturates on `{int((egglog_baseline['orig_status'] == 'saturated').sum())}` of `{len(egglog_baseline)}` original paper rows, but on `{int((egglog_baseline['sympy_status'] == 'saturated').sum())}` of `{len(egglog_baseline)}` archived Sympy rows.\",\n", + " f\"- The archived Sympy inputs therefore remove `{sympy_success_delta}` baseline failures, which is consistent with the paper's observation that preprocessing can cut down the parameter-reduction problem before EqSat runs.\",\n", + " f\"- Using the archived source-node counts for the same rows, the median original node count for Egglog baseline failures is `{baseline_timeout_median_nodes:.1f}`, versus `{baseline_sat_median_nodes:.1f}` for saturated rows; the runtime tail still tracks expression size.\",\n", + " f\"- Failures are concentrated in `{', '.join(f'{alg} ({count})' for alg, count in failure_by_algorithm.items()) or 'none'}`, which points to specific expression families rather than a uniform issue across all algorithms.\",\n", + " f\"- The baseline still has a median original-input gap-to-rank of `{float(egglog_baseline['simpl_rank'].median()):.2f}`, versus `{float(haskell['simpl_rank'].median()):.2f}` in the archived Haskell results.\",\n", + " \"\",\n", + " \"The archived rule sets suggest that A/C pressure is most likely to affect:\",\n", + " \"- `+` and `*` associativity and commutativity rewrites, especially when chained through factorization-style rewrites and reciprocal rewrites.\",\n", + " \"- distributivity and refactorization rules that depend on binary tree shape, such as `(x*y) + (x*z) -> x*(y+z)` and its surrounding normalization rules.\",\n", + " \"- power-merging and logarithm rewrites, where repeated multiplication and reassociation can create many equivalent binary trees before extraction.\",\n", + " \"\",\n", + " \"The best follow-up points for a multiset experiment are:\",\n", + " \"- additive islands that currently rely on repeated binary reassociation before a factorization rewrite becomes visible\",\n", + " \"- multiplicative islands that feed reciprocal and logarithm rewrites\",\n", + " \"- classes where constant-analysis guards still block paper rewrites that the Haskell implementation can fire after rebuild\",\n", + " \"\",\n", + " \"The expected outcomes to test next are:\",\n", + " \"- a shorter runtime tail on the Pagie expressions that currently timeout in Egglog baseline\",\n", + " \"- fewer rows where Egglog remains above the archived rank target after simplification\",\n", + " \"- less dependence on repeated binary reassociation once A/C-heavy structure is containerized directly\",\n", + "]\n", + "display(Markdown(\"## Conclusion\\n\\n\" + \"\\n\".join(conclusion_lines)))" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "515da74d", + "metadata": { + "execution": { + "iopub.execute_input": "2026-04-04T18:00:32.647538Z", + "iopub.status.busy": "2026-04-04T18:00:32.647460Z", + "iopub.status.idle": "2026-04-04T18:00:32.649754Z", + "shell.execute_reply": "2026-04-04T18:00:32.649408Z" + } + }, + "outputs": [], + "source": [ + "def _write_executed_notebook() -> None:\n", + " source_path = PARAM_EQ_DIR / \"replication.py\"\n", + " output_path = source_path.with_suffix(\".ipynb\")\n", + " notebook = jupytext.read(source_path, fmt=\"py:light\")\n", + " previous = os.environ.get(\"EGGLOG_PARAM_EQ_SYNC_IPYNB\")\n", + " os.environ[\"EGGLOG_PARAM_EQ_SYNC_IPYNB\"] = \"0\"\n", + " try:\n", + " executed = NotebookClient(notebook, timeout=600, kernel_name=\"python3\").execute()\n", + " finally:\n", + " if previous is None:\n", + " os.environ.pop(\"EGGLOG_PARAM_EQ_SYNC_IPYNB\", None)\n", + " else:\n", + " os.environ[\"EGGLOG_PARAM_EQ_SYNC_IPYNB\"] = previous\n", + " with output_path.open(\"w\", encoding=\"utf-8\") as handle:\n", + " nbformat.write(executed, handle)" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "id": "2f99ba8f", + "metadata": { + "execution": { + "iopub.execute_input": "2026-04-04T18:00:32.650846Z", + "iopub.status.busy": "2026-04-04T18:00:32.650779Z", + "iopub.status.idle": "2026-04-04T18:00:32.652494Z", + "shell.execute_reply": "2026-04-04T18:00:32.652157Z" + } + }, + "outputs": [], + "source": [ + "if __name__ == \"__main__\" and os.environ.get(\"EGGLOG_PARAM_EQ_SYNC_IPYNB\", \"1\") != \"0\":\n", + " _write_executed_notebook()" + ] + } + ], + "metadata": { + "jupytext": { + "cell_metadata_filter": "-all", + "main_language": "python", + "notebook_metadata_filter": "-all", + "text_representation": { + "extension": ".py", + "format_name": "light" + } + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.13.11" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/python/egglog/exp/param_eq/replication.py b/python/egglog/exp/param_eq/replication.py new file mode 100644 index 00000000..f0018358 --- /dev/null +++ b/python/egglog/exp/param_eq/replication.py @@ -0,0 +1,919 @@ +# mypy: disable-error-code="import-untyped,no-redef,misc" + +"""Notebook source for comparing the retained Egglog baseline to archived paper artifacts.""" + +# # 2026-03 - Replicating the Param-Eq Paper in Egglog +# +# This notebook rebuilds the de Franca and Kronberger (2023) paper figures from +# the archived Haskell experiment outputs and compares them to an Egglog +# translation of the older `param-eq-haskell` simplification pipeline. +# +# The Haskell sources this notebook is tracing back to are: +# - `../param-eq-haskell/src/FixTree.hs` +# - `../param-eq-haskell/src/Main.hs` +# +# It is artifacts-first: +# - it reads normalized Haskell artifacts from `python/egglog/exp/param_eq/artifacts` +# - it reads the Egglog corpus results from the same directory +# - it does not run Haskell at notebook execution time +# +# Offline regeneration commands from the repository root: +# - `uv run python -m egglog.exp.param_eq.normalize_archives` +# - `uv run python -m egglog.exp.param_eq.run_egglog_corpus` +# - `uv run python python/egglog/exp/param_eq/replication.py` +# +# The executed `.ipynb` shown in GitHub is generated from this `py:light` file. + +# + +from __future__ import annotations + +import os +from io import StringIO + +import altair as alt +import pandas as pd +from IPython.display import Markdown, SVG, display +from nbclient import NotebookClient +import nbformat +import jupytext +from egglog.exp.param_eq.paths import ARTIFACT_DIR, PARAM_EQ_DIR + + +alt.data_transformers.disable_max_rows() +alt.renderers.enable("default") + +ALGORITHM_ORDER = ["Bingo", "EPLEX", "GP-GOMEA", "Operon", "PySR", "SBP"] +MODE_LABELS = { + "egglog-baseline": "Egglog baseline", +} +BOX_COLOR = "#4C78A8" +POINT_COLOR = "#F58518" +MISMATCH_COLOR = "#E45756" +HASKELL_PATH = ARTIFACT_DIR / "haskell_paper_rows.csv" +EGGLOG_PATH = ARTIFACT_DIR / "egglog_paper_rows.csv" +RUNTIME_PATH = ARTIFACT_DIR / "pagie_runtime_scatter.csv" + +for required_path in [HASKELL_PATH, EGGLOG_PATH, RUNTIME_PATH]: + if not required_path.exists(): + msg = f"Missing required artifact: {required_path}" + raise FileNotFoundError(msg) + + +def _coerce_numeric(frame: pd.DataFrame, columns: list[str]) -> pd.DataFrame: + for column in columns: + if column in frame.columns: + frame[column] = pd.to_numeric(frame[column], errors="coerce") + return frame + + +def _paper_haskell_frame() -> pd.DataFrame: + frame = pd.read_csv(HASKELL_PATH) + frame = frame[frame["is_paper_row"] == 1].copy() + return _coerce_numeric( + frame, + [ + "raw_index", + "algo_row", + "orig_nodes", + "orig_params", + "simpl_nodes", + "simpl_params", + "orig_nodes_sympy", + "orig_params_sympy", + "simpl_nodes_sympy", + "simpl_params_sympy", + "n_params", + "n_rank", + ], + ) + + +def _paper_egglog_frame() -> pd.DataFrame: + frame = pd.read_csv(EGGLOG_PATH) + frame = frame[frame["is_paper_row"] == 1].copy() + return _coerce_numeric( + frame, + [ + "raw_index", + "algo_row", + "n_params", + "n_rank", + "orig_runtime_ms", + "orig_nodes", + "orig_params", + "simpl_nodes", + "simpl_params", + "orig_total_size", + "orig_egraph_nodes", + "orig_eclass_count", + "orig_passes", + "orig_extracted_cost", + "sympy_runtime_ms", + "orig_nodes_sympy", + "orig_params_sympy", + "simpl_nodes_sympy", + "simpl_params_sympy", + "sympy_total_size", + "sympy_egraph_nodes", + "sympy_eclass_count", + "sympy_passes", + "sympy_extracted_cost", + ], + ) + + +def _paper_runtime_frame() -> pd.DataFrame: + frame = pd.read_csv(RUNTIME_PATH) + return _coerce_numeric(frame, ["node_count", "runtime_ms"]) + + +def add_paper_metrics(frame: pd.DataFrame, *, prefix: str) -> pd.DataFrame: + result = frame.copy() + result["orig_x_egg"] = (result[prefix + "orig_params"] - result[prefix + "simpl_params"]) / result[ + prefix + "orig_params" + ] + result["orig_x_sympy"] = (result[prefix + "orig_params"] - result[prefix + "orig_params_sympy"]) / result[ + prefix + "orig_params" + ] + result["orig_x_sympyegg"] = (result[prefix + "orig_params"] - result[prefix + "simpl_params_sympy"]) / result[ + prefix + "orig_params" + ] + result["sympy_x_egg"] = (result[prefix + "orig_params_sympy"] - result[prefix + "simpl_params"]) / result[ + prefix + "orig_params_sympy" + ] + result["sympyegg_x_egg"] = (result[prefix + "simpl_params_sympy"] - result[prefix + "simpl_params"]) / result[ + prefix + "simpl_params_sympy" + ] + result["orig_rank"] = result["n_params"] - result["n_rank"] + result["simpl_rank"] = result[prefix + "simpl_params"] - result["n_rank"] + result["sympy_rank"] = result[prefix + "orig_params_sympy"] - result["n_rank"] + return result + + +def melt_methods(frame: pd.DataFrame, *, columns: dict[str, str], value_name: str) -> pd.DataFrame: + melted = frame.melt( + id_vars=["dataset", "algorithm", "raw_index"], + value_vars=list(columns.values()), + var_name="method_key", + value_name=value_name, + ) + inverse = {value: key for key, value in columns.items()} + melted["method"] = melted["method_key"].map(inverse) + return melted.drop(columns=["method_key"]) + + +def _point_layer(frame: pd.DataFrame, *, tooltip: list[str]) -> alt.Chart: + return ( + alt.Chart(frame) + .transform_calculate(jitter="(random() - 0.5) * 18") + .mark_circle(size=46, color=POINT_COLOR, opacity=0.72, stroke="white", strokeWidth=0.8) + .encode(xOffset=alt.XOffset("jitter:Q"), tooltip=tooltip) + ) + + +def boxplot_chart(frame: pd.DataFrame, *, y: str, title: str) -> alt.Chart: + base = ( + alt.Chart(frame) + .encode( + x=alt.X("algorithm:N", sort=ALGORITHM_ORDER, title="Algorithm"), + y=alt.Y(f"{y}:Q", title=y.replace("_", " ")), + ) + .properties(width=120, height=280) + ) + return ( + alt.layer( + base.mark_boxplot(size=18, opacity=0.6, color=BOX_COLOR, outliers=False), + _point_layer( + frame, + tooltip=["dataset", "algorithm", "method", "raw_index", y], + ).encode( + x=alt.X("algorithm:N", sort=ALGORITHM_ORDER, title="Algorithm"), + y=alt.Y(f"{y}:Q", title=y.replace("_", " ")), + ), + ) + .facet(column=alt.Column("method:N", title=None)) + .properties(title=title) + .resolve_scale(y="shared") + ) + + +def rank_boxplot(frame: pd.DataFrame, *, title: str) -> alt.Chart: + base = ( + alt.Chart(frame) + .encode( + x=alt.X("algorithm:N", sort=ALGORITHM_ORDER, title="Algorithm"), + y=alt.Y("simpl_rank:Q", title="simplified params - rank"), + ) + .properties(width=180, height=280) + ) + return ( + alt.layer( + base.mark_boxplot(size=18, opacity=0.6, color=BOX_COLOR, outliers=False), + _point_layer( + frame, + tooltip=["dataset", "algorithm", "raw_index", "simpl_rank", "n_rank", "simpl_params"], + ).encode( + x=alt.X("algorithm:N", sort=ALGORITHM_ORDER, title="Algorithm"), + y=alt.Y("simpl_rank:Q", title="simplified params - rank"), + ), + ) + .facet(column=alt.Column("dataset:N", title=None)) + .properties(title=title) + .resolve_scale(y="shared") + ) + + +def comparison_table(frame: pd.DataFrame, *, implementation: str) -> pd.DataFrame: + rows: list[dict[str, object]] = [] + for dataset in ["pagie", "kotanchek"]: + dataset_frame = frame[frame["dataset"] == dataset] + for algorithm in ALGORITHM_ORDER: + algo_frame = dataset_frame[dataset_frame["algorithm"] == algorithm] + for delta in [0, 1]: + eligible = algo_frame[algo_frame["orig_rank"] > delta] + percent = float("nan") + if not eligible.empty: + percent = 100.0 * (eligible["simpl_rank"] <= delta).sum() / len(eligible) + rows.append({ + "implementation": implementation, + "dataset": dataset, + "algorithm": algorithm, + "delta": f"Δ {'==' if delta == 0 else '<='} {delta}", + "percent": percent, + }) + return pd.DataFrame(rows) + + +def table4_wide(frame: pd.DataFrame, index_columns: list[str]) -> pd.DataFrame: + zero = frame[frame["delta"] == "Δ == 0"][[*index_columns, "percent"]].rename(columns={"percent": "Δ == 0"}) + one = frame[frame["delta"] == "Δ <= 1"][[*index_columns, "percent"]].rename(columns={"percent": "Δ <= 1"}) + return zero.merge(one, on=index_columns, how="outer") + + +def runtime_scatter(frame: pd.DataFrame, *, x: str, y: str, color: str, title: str) -> alt.Chart: + return ( + alt.Chart(frame) + .mark_circle(size=72, opacity=0.78, stroke="white", strokeWidth=0.8) + .encode( + x=alt.X(f"{x}:Q"), + y=alt.Y(f"{y}:Q"), + color=alt.Color(f"{color}:N"), + tooltip=list(frame.columns), + ) + .properties(title=title, width=360, height=300) + ) + + +def status_summary_chart(frame: pd.DataFrame, *, title: str) -> alt.Chart: + return ( + alt.Chart(frame) + .mark_bar() + .encode( + x=alt.X("count:Q", title="rows"), + y=alt.Y("status:N", sort="-x", title=None), + color=alt.Color("status:N", legend=None), + column=alt.Column("mode:N", title=None), + ) + .properties(title=title, width=180, height=180) + ) + + +def show_chart(chart: alt.Chart) -> None: + buffer = StringIO() + chart.save(buffer, format="svg") + display(SVG(buffer.getvalue())) + + +def show_note(text: str) -> None: + display(Markdown(f"**What this shows:** {text}")) + + +def _share_phrase(numerator: int, denominator: int) -> str: + if denominator == 0: + return "none" + share = numerator / denominator + if share >= 0.95: + return "nearly all" + if share >= 0.8: + return "most" + if share >= 0.65: + return "a clear majority of" + if share >= 0.45: + return "about half of" + if share >= 0.2: + return "a minority of" + return "very few" + + +def summarize_haskell_reduction_ratios(frame: pd.DataFrame, *, context: str) -> str: + medians = frame.groupby("method")["ratio"].median() + eqsat = medians.get("EqSat", 0.0) + sympy = medians.get("Sympy", 0.0) + combined = medians.get("Sympy + EqSat", 0.0) + if eqsat > 0 and combined >= 0 and sympy <= 0: + return ( + f"For {context}, this is the target paper-era pattern: EqSat is helpful on its own, " + "Sympy alone is weaker or can regress, and the combined pipeline recovers much of that gap. " + "A faithful Egglog baseline should preserve that separation between the three modes." + ) + if eqsat > 0 and combined > 0 and sympy <= combined: + return ( + f"For {context}, this is the target qualitative ordering: EqSat and the combined pipeline both reduce parameters, " + "while Sympy alone is not the main source of the gain. The Egglog baseline should look similar if it is reproducing the paper behavior." + ) + return ( + f"For {context}, this chart defines the baseline shape the Egglog reproduction is aiming at: " + "the three modes should not collapse onto the same distribution if the pipeline stages are being reproduced distinctly." + ) + + +def summarize_haskell_comparison_ratios(frame: pd.DataFrame, *, context: str) -> str: + medians = frame.groupby("method")["ratio"].median() + sympy_vs_eqsat = medians.get("Sympy x EqSat", 0.0) + combined_vs_eqsat = medians.get("Sympy + EqSat x EqSat", 0.0) + if sympy_vs_eqsat > 0 and combined_vs_eqsat <= sympy_vs_eqsat: + return ( + f"For {context}, the archived baseline says EqSat is doing real extra work beyond Sympy preprocessing alone. " + "That means a faithful Egglog reproduction should still show a visible advantage for rerunning EqSat after the symbolic preprocessing stage." + ) + return ( + f"For {context}, this chart sets the baseline expectation for how much EqSat should add beyond the Sympy-derived starting point." + ) + + +def summarize_rank_target(frame: pd.DataFrame, *, context: str) -> str: + near_rank = int((frame["simpl_rank"] <= 1).sum()) + total = len(frame) + return ( + f"For {context}, the archived baseline usually lands at or very near the target rank. " + f"So the reproduction target here is not just qualitative simplification, but getting { _share_phrase(near_rank, total) } rows down to the rank target or within one." + ) + + +def summarize_runtime_baseline(frame: pd.DataFrame, *, x: str, y: str, context: str) -> str: + clean = frame[[x, y]].dropna() + correlation = clean[x].corr(clean[y]) if len(clean) > 1 else 0.0 + if correlation > 0.5: + return ( + f"For {context}, the runtime tail clearly grows with expression size. " + "This is the baseline difficulty pattern Egglog should match qualitatively even if exact runtimes differ." + ) + return ( + f"For {context}, this chart is mainly a baseline reference for where the hard cases live; larger inputs should dominate the tail." + ) + + +def summarize_egglog_reduction_vs_haskell(candidate: pd.DataFrame, baseline: pd.DataFrame, *, context: str) -> str: + candidate_medians = candidate.groupby("method")["ratio"].median() + baseline_medians = baseline.groupby("method")["ratio"].median() + candidate_spread = candidate_medians.max() - candidate_medians.min() + baseline_spread = baseline_medians.max() - baseline_medians.min() + if candidate_spread < baseline_spread * 0.5: + return ( + f"For {context}, Egglog does not preserve the method separation visible in the archived Haskell baseline. " + "The three modes collapse toward the same reduction level, which argues that Egglog is not yet reproducing the distinct effect of each pipeline stage." + ) + return ( + f"For {context}, Egglog broadly preserves the same qualitative ordering as the archived Haskell baseline, " + "which supports the hypothesis that the reproduction is close on this slice." + ) + + +def summarize_egglog_comparison_vs_haskell(candidate: pd.DataFrame, baseline: pd.DataFrame, *, context: str) -> str: + candidate_medians = candidate.groupby("method")["ratio"].median() + baseline_medians = baseline.groupby("method")["ratio"].median() + if candidate_medians.get("Sympy x EqSat", 0.0) < baseline_medians.get("Sympy x EqSat", 0.0) * 0.5: + return ( + f"For {context}, Egglog largely loses the extra gain that archived Haskell gets from rerunning EqSat after Sympy. " + "That supports the current hypothesis that the remaining gap is in how Egglog reproduces the rewrite schedule and A/C-heavy search, not in the basic parser or metric bookkeeping." + ) + return ( + f"For {context}, Egglog retains most of the archived advantage of EqSat over the Sympy-derived inputs, " + "which supports the baseline-reproduction hypothesis for this comparison." + ) + + +def summarize_egglog_rank_vs_haskell(candidate: pd.DataFrame, baseline: pd.DataFrame, *, context: str) -> str: + candidate_near = (candidate["simpl_rank"] <= 1).sum() + baseline_near = (baseline["simpl_rank"] <= 1).sum() + if candidate_near >= baseline_near * 0.9: + return ( + f"For {context}, Egglog is close to the archived baseline on the coarse rank target. " + "So the remaining mismatch is not that Egglog fails to simplify at all; it is that it still misses some of the exact final forms and some hard cases." + ) + return ( + f"For {context}, Egglog is still noticeably behind the archived baseline even on the coarse rank target, " + "so the reproduction gap is visible before we look at exact expression equality." + ) + + +def summarize_egglog_runtime(frame: pd.DataFrame, *, x: str, y: str, context: str) -> str: + clean = frame[[x, y]].dropna() + correlation = clean[x].corr(clean[y]) if len(clean) > 1 else 0.0 + if correlation > 0.5: + return ( + f"For {context}, Egglog shows the same basic size-driven runtime tail as the archived baseline. " + "That supports the idea that it is hitting the same families of hard expressions, even though some outcomes still diverge." + ) + return ( + f"For {context}, runtime does not track size as strongly as in the archived baseline, " + "which would suggest a different failure mode." + ) + + +def summarize_match_scatter(frame: pd.DataFrame, *, context: str) -> str: + total = len(frame) + exact = int(frame["orig_param_match"].sum()) + phrase = _share_phrase(exact, total) + if exact / total >= 0.8: + return ( + f"For {context}, {phrase} sit on or very near the diagonal. " + "That supports the hypothesis that Egglog is partially reproducing the Haskell baseline on final parameter counts, but not yet meeting it exactly across the whole corpus." + ) + return ( + f"For {context}, too many points miss the diagonal for us to call the baseline reproduced yet." + ) + + +def summarize_status_counts(frame: pd.DataFrame, *, context: str) -> str: + counts = frame.groupby("status")["count"].sum() + saturated = int(counts.get("saturated", 0)) + total = int(counts.sum()) + phrase = _share_phrase(saturated, total) + return ( + f"For {context}, {phrase} finish in the normal saturated path. " + "That means the current baseline is usable for comparison work, but the remaining unsaturated tail is still large enough to matter for paper-faithful reproduction." + ) + + +haskell = add_paper_metrics(_paper_haskell_frame(), prefix="") +egglog = add_paper_metrics(_paper_egglog_frame(), prefix="") +runtime_rows = _paper_runtime_frame() + +egglog_baseline = egglog[egglog["mode"] == "egglog-baseline"].copy() +haskell_box_methods = { + "EqSat": "orig_x_egg", + "Sympy": "orig_x_sympy", + "Sympy + EqSat": "orig_x_sympyegg", +} +comparison_methods = { + "Sympy x EqSat": "sympy_x_egg", + "Sympy + EqSat x EqSat": "sympyegg_x_egg", +} + +haskell_table4 = comparison_table(haskell, implementation="Haskell") +egglog_table4 = pd.concat( + [ + comparison_table(egglog_baseline, implementation="Egglog baseline"), + ], + ignore_index=True, +) + +baseline_compare = egglog_baseline.merge( + haskell[ + [ + "dataset", + "raw_index", + "algorithm", + "simpl_params", + "simpl_params_sympy", + "orig_params", + "orig_params_sympy", + ] + ], + on=["dataset", "raw_index", "algorithm"], + suffixes=("_egglog", "_haskell"), +) +baseline_compare["orig_param_match"] = ( + baseline_compare["simpl_params_egglog"] == baseline_compare["simpl_params_haskell"] +) +baseline_compare["sympy_param_match"] = ( + baseline_compare["simpl_params_sympy_egglog"] == baseline_compare["simpl_params_sympy_haskell"] +) + +baseline_compare["orig_abs_gap"] = ( + baseline_compare["simpl_params_egglog"] - baseline_compare["simpl_params_haskell"] +).abs() +status_rows = egglog_baseline.assign(status=egglog_baseline["orig_status"], mode_label="Egglog baseline")[ + ["status", "mode_label"] +].rename(columns={"mode_label": "mode"}) +# - + +# ## 1. Provenance +# +# This notebook uses the retained `param-eq-haskell` checkout and its archived +# paper outputs: +# - `param-eq-haskell`, which contains the archived experiment tables and the +# original plotting notebook used to build the paper figures +# +# The normalized artifacts already include the paper cleanup from the original +# notebook: +# - drop `FEAT` +# - rename `SRjl -> PySR` +# - rename `GOMEA -> GP-GOMEA` +# - drop rows `16, 162` for Pagie +# - drop row `1` for Kotanchek +# - drop rows with missing rank data + +# + +summary = [ + f"- Paper rows available after cleanup: `{len(haskell)}`", + f"- Pagie rows after cleanup: `{int((haskell['dataset'] == 'pagie').sum())}`", + f"- Kotanchek rows after cleanup: `{int((haskell['dataset'] == 'kotanchek').sum())}`", + f"- Pagie runtime scatter rows: `{len(runtime_rows)}`", +] +display(Markdown("## Artifact Overview\n\n" + "\n".join(summary))) +# - + +# ## 2. Recreating the Haskell Paper Figures +# +# The next figures use exactly the same formulas as the archived Haskell +# plotting notebook. + +# + +show_chart( + boxplot_chart( + melt_methods(haskell[haskell["dataset"] == "pagie"], columns=haskell_box_methods, value_name="ratio"), + y="ratio", + title="Figure 3 analog: Pagie reduction ratios from archived Haskell results", + ) +) +show_note( + summarize_haskell_reduction_ratios( + melt_methods(haskell[haskell["dataset"] == "pagie"], columns=haskell_box_methods, value_name="ratio"), + context="the archived Haskell Pagie rows", + ) +) +# - + +# + +show_chart( + boxplot_chart( + melt_methods(haskell[haskell["dataset"] == "pagie"], columns=comparison_methods, value_name="ratio"), + y="ratio", + title="Figure 4 analog: Pagie EqSat vs Sympy comparisons from archived Haskell results", + ) +) +show_note( + summarize_haskell_comparison_ratios( + melt_methods(haskell[haskell["dataset"] == "pagie"], columns=comparison_methods, value_name="ratio"), + context="the archived Haskell Pagie comparisons", + ) +) +# - + +# + +show_chart( + boxplot_chart( + melt_methods(haskell[haskell["dataset"] == "kotanchek"], columns=haskell_box_methods, value_name="ratio"), + y="ratio", + title="Figure 5 analog: Kotanchek reduction ratios from archived Haskell results", + ) +) +show_note( + summarize_haskell_reduction_ratios( + melt_methods(haskell[haskell["dataset"] == "kotanchek"], columns=haskell_box_methods, value_name="ratio"), + context="the archived Haskell Kotanchek rows", + ) +) +# - + +# + +show_chart( + boxplot_chart( + melt_methods(haskell[haskell["dataset"] == "kotanchek"], columns=comparison_methods, value_name="ratio"), + y="ratio", + title="Figure 6 analog: Kotanchek EqSat vs Sympy comparisons from archived Haskell results", + ) +) +show_note( + summarize_haskell_comparison_ratios( + melt_methods(haskell[haskell["dataset"] == "kotanchek"], columns=comparison_methods, value_name="ratio"), + context="the archived Haskell Kotanchek comparisons", + ) +) +# - + +# + +show_chart(rank_boxplot(haskell, title="Figure 7 analog: archived Haskell simplified params minus rank")) +show_note(summarize_rank_target(haskell, context="the archived Haskell runs")) +# - + +# + +show_chart( + runtime_scatter( + runtime_rows.assign(source="Archived Haskell"), + x="node_count", + y="runtime_ms", + color="source", + title="Figure 9 analog: archived Haskell runtime vs number of nodes", + ) +) +show_note( + summarize_runtime_baseline( + runtime_rows.assign(source="Archived Haskell"), + x="node_count", + y="runtime_ms", + context="the archived Haskell runtime rows", + ) +) +# - + +# + +display(Markdown("### Table 4 analog from archived Haskell results")) +display(table4_wide(haskell_table4, ["dataset", "algorithm"]).round(2)) +# - + +# + +display( + Markdown( + "### Figure 8 status\n\n" + "The provided archives do not include the bulk Feynman/Operon result table " + "needed to reproduce Figure 8 exactly, so this notebook marks that figure " + "as unavailable rather than fabricating an approximation." + ) +) +# - + +# ## 3. Egglog Translation of the Older Hegg-Era Pipeline +# +# The Egglog runner uses the archived experiment harness as the baseline: +# - the older expression language from the paper-era code +# - the paper-era extraction cost model +# - the `FixTree.hs` rewrite loop and backoff scheduler + +# + +baseline_summary = [ + f"- Egglog baseline original-input status counts: `{egglog_baseline['orig_status'].value_counts().to_dict()}`", + f"- Egglog baseline sympy-input status counts: `{egglog_baseline['sympy_status'].value_counts().to_dict()}`", +] +display(Markdown("## Egglog Run Overview\n\n" + "\n".join(baseline_summary))) +# - + +# ## 4. Haskell vs Egglog Comparison +# +# The next figures mirror the paper plots with Egglog data. For the Egglog +# charts, "Sympy" means the archived Sympy output re-counted by the Egglog +# parser, and "Sympy + EqSat" means running the Egglog EqSat translation on the +# archived Sympy expression. + +# + +show_chart( + boxplot_chart( + melt_methods( + egglog_baseline[egglog_baseline["dataset"] == "pagie"], columns=haskell_box_methods, value_name="ratio" + ), + y="ratio", + title="Egglog baseline analog of Figure 3 (Pagie)", + ) +) +show_note( + summarize_egglog_reduction_vs_haskell( + melt_methods(egglog_baseline[egglog_baseline["dataset"] == "pagie"], columns=haskell_box_methods, value_name="ratio"), + melt_methods(haskell[haskell["dataset"] == "pagie"], columns=haskell_box_methods, value_name="ratio"), + context="the Egglog baseline Pagie rows", + ) +) +# - + +# + +show_chart( + boxplot_chart( + melt_methods( + egglog_baseline[egglog_baseline["dataset"] == "pagie"], columns=comparison_methods, value_name="ratio" + ), + y="ratio", + title="Egglog baseline analog of Figure 4 (Pagie)", + ) +) +show_note( + summarize_egglog_comparison_vs_haskell( + melt_methods(egglog_baseline[egglog_baseline["dataset"] == "pagie"], columns=comparison_methods, value_name="ratio"), + melt_methods(haskell[haskell["dataset"] == "pagie"], columns=comparison_methods, value_name="ratio"), + context="the Egglog baseline Pagie comparisons", + ) +) +# - + +# + +show_chart( + boxplot_chart( + melt_methods( + egglog_baseline[egglog_baseline["dataset"] == "kotanchek"], columns=haskell_box_methods, value_name="ratio" + ), + y="ratio", + title="Egglog baseline analog of Figure 5 (Kotanchek)", + ) +) +show_note( + summarize_egglog_reduction_vs_haskell( + melt_methods(egglog_baseline[egglog_baseline["dataset"] == "kotanchek"], columns=haskell_box_methods, value_name="ratio"), + melt_methods(haskell[haskell["dataset"] == "kotanchek"], columns=haskell_box_methods, value_name="ratio"), + context="the Egglog baseline Kotanchek rows", + ) +) +# - + +# + +show_chart( + boxplot_chart( + melt_methods( + egglog_baseline[egglog_baseline["dataset"] == "kotanchek"], columns=comparison_methods, value_name="ratio" + ), + y="ratio", + title="Egglog baseline analog of Figure 6 (Kotanchek)", + ) +) +show_note( + summarize_egglog_comparison_vs_haskell( + melt_methods(egglog_baseline[egglog_baseline["dataset"] == "kotanchek"], columns=comparison_methods, value_name="ratio"), + melt_methods(haskell[haskell["dataset"] == "kotanchek"], columns=comparison_methods, value_name="ratio"), + context="the Egglog baseline Kotanchek comparisons", + ) +) +# - + +# + +show_chart(rank_boxplot(egglog_baseline, title="Egglog baseline analog of Figure 7")) +show_note(summarize_egglog_rank_vs_haskell(egglog_baseline, haskell, context="the Egglog baseline runs")) +# - + +# + +show_chart( + runtime_scatter( + egglog_baseline[egglog_baseline["dataset"] == "pagie"].assign(source="Egglog baseline"), + x="orig_nodes", + y="orig_runtime_ms", + color="source", + title="Egglog baseline analog of Figure 9 (Pagie original expressions)", + ) +) +show_note( + summarize_egglog_runtime( + egglog_baseline[egglog_baseline["dataset"] == "pagie"].assign(source="Egglog baseline"), + x="orig_nodes", + y="orig_runtime_ms", + context="the Egglog baseline Pagie originals", + ) +) +# - + +# + +display(Markdown("### Table 4 analogs for Egglog")) +display(table4_wide(egglog_table4, ["implementation", "dataset", "algorithm"]).round(2)) +# - + +# + +exact_match_rows = pd.DataFrame([ + { + "mode": "Egglog baseline", + "input": "original expressions", + "exact_param_matches": int(baseline_compare["orig_param_match"].sum()), + "total_rows": len(baseline_compare), + }, + { + "mode": "Egglog baseline", + "input": "sympy expressions", + "exact_param_matches": int(baseline_compare["sympy_param_match"].sum()), + "total_rows": len(baseline_compare), + }, +]) +display(Markdown("### Exact-match counts against archived Haskell parameter totals")) +display(exact_match_rows) +# - + +# + +baseline_orig_scatter = baseline_compare[baseline_compare["orig_status"] == "saturated"].copy() +baseline_orig_scatter["match"] = baseline_orig_scatter["orig_param_match"].map({True: "exact match", False: "mismatch"}) +show_chart( + alt.Chart(baseline_orig_scatter) + .mark_circle(size=78, opacity=0.82, stroke="white", strokeWidth=0.85) + .encode( + x=alt.X("simpl_params_haskell:Q", title="Archived Haskell final params"), + y=alt.Y("simpl_params_egglog:Q", title="Egglog baseline final params"), + color=alt.Color( + "match:N", + title=None, + scale=alt.Scale(domain=["exact match", "mismatch"], range=[POINT_COLOR, MISMATCH_COLOR]), + ), + tooltip=["dataset", "algorithm", "algo_row", "simpl_params_haskell", "simpl_params_egglog", "orig_rendered"], + ) + .properties(title="Egglog baseline vs archived Haskell final parameter counts", width=360, height=320) +) +show_note(summarize_match_scatter(baseline_orig_scatter, context="saturated original-expression rows")) +# - + +# + +baseline_summary_frame = pd.DataFrame([ + { + "mode": "Egglog baseline", + "orig_non_saturated_rows": int((egglog_baseline["orig_status"] != "saturated").sum()), + "sympy_non_saturated_rows": int((egglog_baseline["sympy_status"] != "saturated").sum()), + "median_orig_runtime_ms": float(egglog_baseline["orig_runtime_ms"].median()), + "median_sympy_runtime_ms": float(egglog_baseline["sympy_runtime_ms"].median()), + }, +]) +display(Markdown("### Egglog baseline summary")) +display(baseline_summary_frame.round(2)) +# - + +# + +show_chart( + status_summary_chart( + status_rows.groupby(["mode", "status"]).size().reset_index(name="count"), + title="Egglog original-input statuses by mode", + ) +) +show_note( + summarize_status_counts( + status_rows.groupby(["mode", "status"]).size().reset_index(name="count"), + context="Egglog original-input runs", + ) +) +# - + +# + +display( + Markdown( + "\n".join([ + "## Comparison Summary", + "", + f"- Egglog baseline exactly matches archived Haskell final parameter counts on `{int(baseline_compare['orig_param_match'].sum())}` of `{len(baseline_compare)}` original-expression rows.", + f"- Egglog baseline exactly matches archived Haskell `Sympy + EqSat` parameter counts on `{int(baseline_compare['sympy_param_match'].sum())}` of `{len(baseline_compare)}` sympy-expression rows.", + f"- Egglog baseline original-input timeouts or failures occur on `{int((egglog_baseline['orig_status'] != 'saturated').sum())}` of `{len(egglog_baseline)}` paper rows.", + f"- Egglog baseline sympy-input timeouts or failures occur on `{int((egglog_baseline['sympy_status'] != 'saturated').sum())}` of `{len(egglog_baseline)}` paper rows.", + ]) + ) +) +# - + +# ## 5. Current Limitations and Likely A/C Effects +# +# The statements below are derived from the loaded artifacts and then connected +# back to the rewrite structure in the archived source. + +# + +baseline_failures = egglog_baseline[egglog_baseline["orig_status"] != "saturated"].copy() +failure_by_algorithm = baseline_failures.groupby("algorithm").size().sort_values(ascending=False) +sympy_success_delta = int( + (egglog_baseline["sympy_status"] == "saturated").sum() - (egglog_baseline["orig_status"] == "saturated").sum() +) +source_node_sizes = haskell[["dataset", "raw_index", "algorithm", "orig_nodes"]].rename( + columns={"orig_nodes": "source_orig_nodes"} +) +baseline_failures_with_sizes = baseline_failures.merge( + source_node_sizes, on=["dataset", "raw_index", "algorithm"], how="left" +) +baseline_sat_with_sizes = egglog_baseline[egglog_baseline["orig_status"] == "saturated"].merge( + source_node_sizes, + on=["dataset", "raw_index", "algorithm"], + how="left", +) +baseline_timeout_median_nodes = baseline_failures_with_sizes["source_orig_nodes"].median() +baseline_sat_median_nodes = baseline_sat_with_sizes["source_orig_nodes"].median() + +conclusion_lines = [ + f"- The Egglog baseline saturates on `{int((egglog_baseline['orig_status'] == 'saturated').sum())}` of `{len(egglog_baseline)}` original paper rows, but on `{int((egglog_baseline['sympy_status'] == 'saturated').sum())}` of `{len(egglog_baseline)}` archived Sympy rows.", + f"- The archived Sympy inputs therefore remove `{sympy_success_delta}` baseline failures, which is consistent with the paper's observation that preprocessing can cut down the parameter-reduction problem before EqSat runs.", + f"- Using the archived source-node counts for the same rows, the median original node count for Egglog baseline failures is `{baseline_timeout_median_nodes:.1f}`, versus `{baseline_sat_median_nodes:.1f}` for saturated rows; the runtime tail still tracks expression size.", + f"- Failures are concentrated in `{', '.join(f'{alg} ({count})' for alg, count in failure_by_algorithm.items()) or 'none'}`, which points to specific expression families rather than a uniform issue across all algorithms.", + f"- The baseline still has a median original-input gap-to-rank of `{float(egglog_baseline['simpl_rank'].median()):.2f}`, versus `{float(haskell['simpl_rank'].median()):.2f}` in the archived Haskell results.", + "", + "The archived rule sets suggest that A/C pressure is most likely to affect:", + "- `+` and `*` associativity and commutativity rewrites, especially when chained through factorization-style rewrites and reciprocal rewrites.", + "- distributivity and refactorization rules that depend on binary tree shape, such as `(x*y) + (x*z) -> x*(y+z)` and its surrounding normalization rules.", + "- power-merging and logarithm rewrites, where repeated multiplication and reassociation can create many equivalent binary trees before extraction.", + "", + "The best follow-up points for a multiset experiment are:", + "- additive islands that currently rely on repeated binary reassociation before a factorization rewrite becomes visible", + "- multiplicative islands that feed reciprocal and logarithm rewrites", + "- classes where constant-analysis guards still block paper rewrites that the Haskell implementation can fire after rebuild", + "", + "The expected outcomes to test next are:", + "- a shorter runtime tail on the Pagie expressions that currently timeout in Egglog baseline", + "- fewer rows where Egglog remains above the archived rank target after simplification", + "- less dependence on repeated binary reassociation once A/C-heavy structure is containerized directly", +] +display(Markdown("## Conclusion\n\n" + "\n".join(conclusion_lines))) +# - + + +def _write_executed_notebook() -> None: + source_path = PARAM_EQ_DIR / "replication.py" + output_path = source_path.with_suffix(".ipynb") + notebook = jupytext.read(source_path, fmt="py:light") + previous = os.environ.get("EGGLOG_PARAM_EQ_SYNC_IPYNB") + os.environ["EGGLOG_PARAM_EQ_SYNC_IPYNB"] = "0" + try: + executed = NotebookClient(notebook, timeout=600, kernel_name="python3").execute() + finally: + if previous is None: + os.environ.pop("EGGLOG_PARAM_EQ_SYNC_IPYNB", None) + else: + os.environ["EGGLOG_PARAM_EQ_SYNC_IPYNB"] = previous + with output_path.open("w", encoding="utf-8") as handle: + nbformat.write(executed, handle) + + +if __name__ == "__main__" and os.environ.get("EGGLOG_PARAM_EQ_SYNC_IPYNB", "1") != "0": + _write_executed_notebook() diff --git a/python/egglog/exp/param_eq/replication_status.md b/python/egglog/exp/param_eq/replication_status.md new file mode 100644 index 00000000..891392d3 --- /dev/null +++ b/python/egglog/exp/param_eq/replication_status.md @@ -0,0 +1,176 @@ +# Param-Eq Replication Status + +This file is the hypothesis and experiment ledger for the retained `param_eq` +baseline. + +It is intentionally not the place for corpus-level plots or current summary +numbers. For those, use the comparison notebook: + +- [replication.py](replication.py) +- [replication.ipynb](replication.ipynb) + +In particular, any statement here about whether Egglog is or is not meeting the +archived Haskell baseline should be read together with the notebook sections: + +- `## 4. Haskell vs Egglog Comparison` +- `## 5. Current Limitations and Likely A/C Effects` + +## Source Of Truth + +- Haskell implementation being mirrored: + - `../param-eq-haskell/src/FixTree.hs` + - `../param-eq-haskell/src/Main.hs` +- Egglog translation: + - [pipeline.py](pipeline.py) +- Haskell-backed reduced canaries: + - [haskell_golden.json](haskell_golden.json) + - [generate_haskell_golden.py](generate_haskell_golden.py) +- Corpus-level artifact generation: + - [normalize_archives.py](normalize_archives.py) + - [run_egglog_corpus.py](run_egglog_corpus.py) + +## Current Overall Read + +The current baseline is a partial reproduction, not full parity. + +That claim is supported by the corpus-level notebook results in +[replication.py](replication.py): + +- Egglog preserves some of the archived Haskell behavior on many rows and often + lands near the same parameter-count target. +- Egglog does not yet preserve all of the qualitative separation between the + paper pipeline stages that the archived Haskell plots show. +- The remaining misses are concentrated in a narrower hard tail, not spread + uniformly across the whole corpus. + +So the right current claim is: + +- Egglog is close enough to act as a serious pre-multiset baseline. +- Egglog is not yet faithful enough to claim the Haskell baseline is fully + reproduced. + +## Accepted Baseline + +The accepted Python baseline in [pipeline.py](pipeline.py) is: + +- four bounded rounds of `analysis_schedule.saturate() + rewrite_schedule` +- one final `analysis_schedule.saturate()` + +This is an accepted approximation, not a literal copy of Haskell's internal +loop structure. + +Why it stays accepted: + +- it keeps the reduced Haskell canaries green +- it avoids the longer-running behavior reopened by the more literal + alternatives +- the corpus-level consequences of that choice are already visible in the + notebook results in [replication.py](replication.py) + +## Mismatch Frontier + +| Family | Status | Smallest repro | Current read | +| --- | --- | --- | --- | +| Negative-base integer powers | Fixed | `(-2) ** 2`, `(-2) ** 3` | The Python translation now matches the sampled Haskell cases by only folding negative bases when the exponent round-trips through `to_i64` / `from_i64`. | +| Small constant pruning | Aligned on canaries | `2 - 2`, `2 / 2`, `0 / x0` | The current `delete(...)` approximation is good enough on the confirmed small cases; it is not the next blocker. | +| Reduced schedule mismatch | Fixed in the retained baseline | `sbp_zero_times_quadratic`, `x0_sq_plus_x1_sq`, `pagie_sbp_1` | The bounded schedule recovers the reduced Haskell canaries without reopening the longer one-pass `saturate(...)` behavior. | +| Haskell-shaped inner fixpoint | Rejected | `x0_sq_plus_x1_sq` | A more literal rewrite-no-update inner fixpoint still timed out on the reduced quadratic canary and is no longer in the codebase. | +| Remaining exact-form mismatch | Open | `(1 / ((x0 * x0) + 1)) + (4 * (x1 * x1))` | The current baseline disables `add_comm`, which blocks some left-biased factorization paths that Haskell can take. | +| Corpus mismatch | Open | `pagie_operon_15` | The remaining full-row mismatch is currently best explained by the no-`add_comm` compensation, not by a generic engine-level scheduler bug. | +| Extraction tie-break | Allowed / separate | `sub_add_left_assoc` | Equivalent term, unstable representative choice; not the main semantic blocker. | + +## Closed Findings + +### Negative-base power folding + +This is no longer an open issue. + +Relevant source sites: + +- Haskell: `FixTree.hs`, power constant evaluation +- Egglog: [pipeline.py](pipeline.py), negative-base exponent handling + +The retained behavior is: + +- integral constant exponent: fold +- non-integral or non-constant exponent: do not fold + +That is enforced by the reduced Haskell-backed tests in +[test_pipeline.py](test_pipeline.py). + +### Residual scheduler-match replay + +This is no longer the live explanation for the remaining `param_eq` mismatch. + +Historical conclusion: + +- the old residual-match explanation was real at the engine level +- the supporting engine fix landed in `egg-smol` / `egglog-experimental` +- after that, the remaining `param_eq` mismatch still persisted + +So this should not be treated as the current blocker for parity. + +## Rejected Experiments + +### Direct Haskell-shaped inner fixpoint + +Tried: + +- initial analysis +- then repeat `(rewrite once; analysis saturate)` until the rewrite step makes + no database updates + +Why it was rejected: + +- it still timed out on `x0_sq_plus_x1_sq` +- the bounded schedule already reaches the useful extracted form for the reduced + canaries much earlier + +Do not retry this exact experiment unless an engine change materially changes +the distance between the useful extracted fixpoint and the rewrite-no-update +fixpoint. + +### Restoring `add_comm` globally + +Tried: + +- restore `add_comm` so the blocked factorization paths become reachable again + +Why it was rejected: + +- it does recover the smaller factorization toy +- it also reopens longer-running behavior on the broader baseline +- so it is not acceptable as the retained default schedule + +## Current Live Hypothesis + +The remaining exact-form gap is mainly caused by the accepted baseline +compensation itself: + +- disabling `add_comm` avoids larger blowups +- but it also prevents some left-biased factorization paths that the archived + Haskell implementation can take + +This is why the current baseline can still be: + +- close on many corpus rows +- clearly below full parity on exact-form reproduction + +That qualitative conclusion is visible in the notebook-backed comparison +results in [replication.py](replication.py), especially the exact-match scatter +and the Egglog-vs-Haskell reduction-ratio sections. + +## Next Probe + +If exact parity becomes the priority again, the next step is: + +1. reduce `pagie_operon_15` to the first failing toy beyond the already-working + right-biased mirror-rule cases +2. decide whether that miss should be addressed by: + - a narrower factorization-path recovery + - a different `add_comm` compensation + - or a deliberate decision to keep the current approximation and move on to + multiset work + +That decision should be made after consulting the notebook results, not from +this ledger alone. diff --git a/python/egglog/exp/param_eq/run_egglog_corpus.py b/python/egglog/exp/param_eq/run_egglog_corpus.py new file mode 100644 index 00000000..aaee4e26 --- /dev/null +++ b/python/egglog/exp/param_eq/run_egglog_corpus.py @@ -0,0 +1,191 @@ +"""Run the retained Egglog baseline across the archived param-eq paper rows.""" + +from __future__ import annotations + +import contextlib +import csv +import json +import os +import signal +import subprocess +import sys +import time + +from egglog.exp.param_eq.paths import ARTIFACT_DIR + +TIMEOUT_SEC = 180.0 + +OUTPUT_DIR = ARTIFACT_DIR +HASKELL_ROWS_PATH = OUTPUT_DIR / "haskell_paper_rows.csv" +EGGLOG_ROWS_PATH = OUTPUT_DIR / "egglog_paper_rows.csv" + +MODES = ("egglog-baseline",) + + +def _load_rows() -> list[dict[str, str]]: + with HASKELL_ROWS_PATH.open(newline="", encoding="utf-8") as handle: + return [row for row in csv.DictReader(handle) if row["is_paper_row"] == "1"] + + +def _run_one(source: str, mode: str) -> dict[str, str]: + start = time.perf_counter() + proc: subprocess.Popen[str] | None = None + try: + proc = subprocess.Popen( + [ + sys.executable, + "-m", + "egglog.exp.param_eq", + "--mode", + mode, + f"--expr={source}", + ], + text=True, + stdout=subprocess.PIPE, + stderr=subprocess.PIPE, + start_new_session=True, + ) + stdout, stderr = proc.communicate(timeout=TIMEOUT_SEC) + except subprocess.TimeoutExpired: + if proc is not None: + with contextlib.suppress(ProcessLookupError): + os.killpg(proc.pid, signal.SIGKILL) + with contextlib.suppress(subprocess.TimeoutExpired): + proc.communicate(timeout=1.0) + return { + "status": "timeout", + "runtime_ms": f"{TIMEOUT_SEC * 1000.0:.6f}", + "before_nodes": "na", + "before_params": "na", + "after_nodes": "na", + "after_params": "na", + "total_size": "na", + "egraph_nodes": "na", + "eclass_count": "na", + "passes": "na", + "extracted_cost": "na", + "rendered": "timeout", + } + elapsed_ms = (time.perf_counter() - start) * 1000.0 + if proc.returncode != 0: + message = stderr.strip() or stdout.strip() or "subprocess failure" + return { + "status": "failed", + "runtime_ms": f"{elapsed_ms:.6f}", + "before_nodes": "na", + "before_params": "na", + "after_nodes": "na", + "after_params": "na", + "total_size": "na", + "egraph_nodes": "na", + "eclass_count": "na", + "passes": "na", + "extracted_cost": "na", + "rendered": message.splitlines()[0], + } + payload = json.loads(stdout) + return { + "status": str(payload["status"]), + "runtime_ms": f"{elapsed_ms:.6f}", + "before_nodes": str(payload["before_nodes"]), + "before_params": str(payload["before_params"]), + "after_nodes": str(payload["after_nodes"]), + "after_params": str(payload["after_params"]), + "total_size": str(payload["total_size"]), + "egraph_nodes": str(payload["node_count"]), + "eclass_count": str(payload["eclass_count"]), + "passes": str(payload["passes"]), + "extracted_cost": str(payload["extracted_cost"]), + "rendered": str(payload["rendered"]), + } + + +def main() -> None: + rows = _load_rows() + total = len(rows) * len(MODES) + OUTPUT_DIR.mkdir(parents=True, exist_ok=True) + temp_path = EGGLOG_ROWS_PATH.with_suffix(".csv.partial") + completed_keys: set[tuple[str, str, str, str, str]] = set() + fieldnames: list[str] | None = None + if temp_path.exists(): + with temp_path.open(newline="", encoding="utf-8") as handle: + reader = csv.DictReader(handle) + fieldnames = list(reader.fieldnames) if reader.fieldnames is not None else None + for row in reader: + completed_keys.add((row["dataset"], row["raw_index"], row["algorithm"], row["algo_row"], row["mode"])) + + counter = len(completed_keys) + with temp_path.open("a" if completed_keys else "w", newline="", encoding="utf-8") as handle: + writer: csv.DictWriter[str] | None = None + if fieldnames is not None: + writer = csv.DictWriter(handle, fieldnames=fieldnames) + for source_row in rows: + for mode in MODES: + key = ( + source_row["dataset"], + source_row["raw_index"], + source_row["algorithm"], + source_row["algo_row"], + mode, + ) + if key in completed_keys: + continue + counter += 1 + if counter == 1 or counter % 25 == 0: + print( + f"[{counter}/{total}] {source_row['dataset']} {source_row['algorithm']}#{source_row['algo_row']} {mode}", + flush=True, + ) + original = _run_one(source_row["original_expr"], mode) + sympy = _run_one(source_row["sympy_expr"], mode) + output_row = { + "dataset": source_row["dataset"], + "raw_index": source_row["raw_index"], + "algorithm_raw": source_row["algorithm_raw"], + "algorithm": source_row["algorithm"], + "algo_row": source_row["algo_row"], + "is_paper_row": source_row["is_paper_row"], + "drop_reason": source_row["drop_reason"], + "n_params": source_row["n_params"], + "n_rank": source_row["n_rank"], + "mode": mode, + "original_expr": source_row["original_expr"], + "sympy_expr": source_row["sympy_expr"], + "orig_status": original["status"], + "orig_runtime_ms": original["runtime_ms"], + "orig_nodes": original["before_nodes"], + "orig_params": original["before_params"], + "simpl_nodes": original["after_nodes"], + "simpl_params": original["after_params"], + "orig_total_size": original["total_size"], + "orig_egraph_nodes": original["egraph_nodes"], + "orig_eclass_count": original["eclass_count"], + "orig_passes": original["passes"], + "orig_extracted_cost": original["extracted_cost"], + "orig_rendered": original["rendered"], + "sympy_status": sympy["status"], + "sympy_runtime_ms": sympy["runtime_ms"], + "orig_nodes_sympy": sympy["before_nodes"], + "orig_params_sympy": sympy["before_params"], + "simpl_nodes_sympy": sympy["after_nodes"], + "simpl_params_sympy": sympy["after_params"], + "sympy_total_size": sympy["total_size"], + "sympy_egraph_nodes": sympy["egraph_nodes"], + "sympy_eclass_count": sympy["eclass_count"], + "sympy_passes": sympy["passes"], + "sympy_extracted_cost": sympy["extracted_cost"], + "sympy_rendered": sympy["rendered"], + } + if fieldnames is None: + fieldnames = list(output_row) + writer = csv.DictWriter(handle, fieldnames=fieldnames) + writer.writeheader() + assert writer is not None + writer.writerow(output_row) + handle.flush() + completed_keys.add(key) + temp_path.replace(EGGLOG_ROWS_PATH) + + +if __name__ == "__main__": + main() diff --git a/python/egglog/exp/param_eq/test_pipeline.py b/python/egglog/exp/param_eq/test_pipeline.py new file mode 100644 index 00000000..db3f42a5 --- /dev/null +++ b/python/egglog/exp/param_eq/test_pipeline.py @@ -0,0 +1,258 @@ +"""Regression tests for the retained param-eq replication pipeline.""" + +from __future__ import annotations + +import json + +import pytest + +from egglog import EGraph, eq +from egglog.exp.param_eq import pipeline as param_eq_hegg +from egglog.exp.param_eq.paths import GOLDEN_PATH +from egglog.exp.param_eq.pipeline import count_nodes, count_params, parse_expression, render_num, run_paper_pipeline + +GOLDEN_FIXTURE = json.loads(GOLDEN_PATH.read_text()) +GOLDEN_CASES = GOLDEN_FIXTURE["cases"] +COMPARABLE_GOLDEN_CASES = [case for case in GOLDEN_CASES if not case["expected_mismatch"]] +GOLDEN_ANALYSIS_CASES = [case for case in COMPARABLE_GOLDEN_CASES if case["compare_root_analysis"]] +GOLDEN_REWRITE_CASES = [case for case in COMPARABLE_GOLDEN_CASES if case["compare_rewrite_tree"]] +GOLDEN_SIMPLIFY_CASES = [case for case in COMPARABLE_GOLDEN_CASES if case["compare_simplify_e"]] +KNOWN_MISMATCH_CASE_IDS = {case["case_id"] for case in GOLDEN_CASES if case["expected_mismatch"]} + + +def _expected_analysis(case: dict[str, object]) -> param_eq_hegg.OptionalF64: + analysis = case["analysis_after"] + assert isinstance(analysis, dict) + match analysis["kind"]: + case "none": + return param_eq_hegg.OptionalF64.none + case "some": + value = analysis["value"] + assert isinstance(value, int | float) + return param_eq_hegg.OptionalF64.some(float(value)) + msg = f"Unexpected analysis fixture entry: {analysis!r}" + raise ValueError(msg) + + +def test_parse_expression_handles_leading_negative_literal() -> None: + expr = parse_expression("-0.000465+0.164361*(exp((x0*(2.011000-x0))))") + + assert render_num(expr) == "(-0.000465 + (0.164361 * exp((x0 * (2.011 - x0)))))" + assert count_params(expr) == 3 + assert count_nodes(expr) == 10 + + +def test_integer_power_exponents_do_not_count_as_parameters() -> None: + expr = parse_expression("plog(x0) + ((x0)^(-1))") + + assert count_params(expr) == 0 + + +def test_nonconstant_power_exponents_still_count_parameters() -> None: + expr = parse_expression("(2.0 ** x0) + (x1 ** (x0 + 3.0))") + + assert count_params(expr) == 2 + + +def test_run_paper_pipeline_saturates_simple_expression() -> None: + expr = parse_expression("exp(log(abs(x0)))") + report = run_paper_pipeline(expr, mode="egglog-baseline") + + assert report.status == "saturated" + assert report.after_nodes <= report.before_nodes + assert report.after_params == 0 + + +@pytest.mark.parametrize( + ("source", "expected"), + [ + ("x0 - x0", param_eq_hegg.OptionalF64.none), + ("2 - 2", param_eq_hegg.OptionalF64.some(0.0)), + ("x0 / x0", param_eq_hegg.OptionalF64.none), + ("2 / 2", param_eq_hegg.OptionalF64.some(1.0)), + ], +) +def test_analysis_matches_haskell_canaries(source: str, expected: param_eq_hegg.OptionalF64) -> None: + expr = parse_expression(source) + egraph = EGraph(expr) + + egraph.run(param_eq_hegg.analysis_schedule.saturate()) + egraph.check(eq(param_eq_hegg.const_value(expr)).to(expected)) + + +@pytest.mark.parametrize( + ("source", "expected_analysis", "expected_render"), + [ + ("(-2) ** 2", param_eq_hegg.OptionalF64.some(4.0), "4.0"), + ("(-2) ** 3", param_eq_hegg.OptionalF64.some(-8.0), "-8.0"), + ("(-2) ** x0", param_eq_hegg.OptionalF64.none, "(-2.0 ** x0)"), + ], +) +def test_negative_power_cases_match_haskell_expectations( + source: str, + expected_analysis: param_eq_hegg.OptionalF64, + expected_render: str, +) -> None: + expr = parse_expression(source) + egraph = EGraph() + egraph.register(expr) + + egraph.run(param_eq_hegg.total_ruleset) + egraph.check(eq(param_eq_hegg.const_value(expr)).to(expected_analysis)) + assert run_paper_pipeline(expr, mode="egglog-baseline").rendered == expected_render + + +def test_merge_panics_on_different_constant_values() -> None: + egraph = EGraph( + param_eq_hegg.join_const_value(param_eq_hegg.OptionalF64.some(1.0), param_eq_hegg.OptionalF64.some(2.0)) + ) + + with pytest.raises(Exception, match="Merged different constant values"): + egraph.run(param_eq_hegg.analysis_schedule.saturate()) + + +def test_merge_accepts_close_constant_values() -> None: + expr = param_eq_hegg.join_const_value( + param_eq_hegg.OptionalF64.some(1.0), + param_eq_hegg.OptionalF64.some(1.0 + (param_eq_hegg.CONST_MERGE_TOLERANCE / 2.0)), + ) + egraph = EGraph(expr) + + egraph.run(param_eq_hegg.analysis_schedule.saturate()) + egraph.check(eq(expr).to(param_eq_hegg.OptionalF64.some(1.0))) + + +def test_merge_accepts_positive_and_negative_zero() -> None: + expr = param_eq_hegg.join_const_value(param_eq_hegg.OptionalF64.some(0.0), param_eq_hegg.OptionalF64.some(-0.0)) + egraph = EGraph(expr) + + egraph.run(param_eq_hegg.analysis_schedule.saturate()) + egraph.check(eq(expr).to(param_eq_hegg.OptionalF64.some(0.0))) + + +def test_constant_prune_deletes_composite_representatives() -> None: + expr = parse_expression("2 - 2") + egraph = EGraph(expr) + + egraph.run(param_eq_hegg.analysis_schedule.saturate()) + + payload = json.loads(egraph._serialize().to_json()) + ops = {node["op"] for node in payload["nodes"].values()} + assert "· - ·" not in ops + + +def test_zero_division_class_stays_mixed_when_analysis_is_none() -> None: + expr = parse_expression("0 / x0") + egraph = EGraph() + egraph.register(expr) + + egraph.run(param_eq_hegg.total_ruleset) + egraph.check(eq(param_eq_hegg.const_value(expr)).to(param_eq_hegg.OptionalF64.none)) + + payload = json.loads(egraph._serialize().to_json()) + ops = {node["op"] for node in payload["nodes"].values()} + assert "· / ·" in ops + + +@pytest.mark.parametrize( + "source", + [ + "((-0.00978823600529464 * (x0 * x0)) + ((0.0012052881065756 * x1) * ((-8.2380609512329102) * x1)))", + "(((51.6682472229003906 * x0) * ((-0.0001894439337775) * x0)) + (-0.009929236885765901 * (x1 * x1)))", + ], +) +def test_reduced_schedule_case_normalizes_if_one_side_is_already_quadratic(source: str) -> None: + report = run_paper_pipeline(parse_expression(source), mode="egglog-baseline") + + assert report.rendered == "((-0.00978823600529464 * (x0 * x0)) + (-0.009929236885765901 * (x1 * x1)))" + + +def test_reduced_schedule_case_matches_haskell_canary() -> None: + case = next(case for case in GOLDEN_CASES if case["case_id"] == "x0_sq_plus_x1_sq") + report = run_paper_pipeline(parse_expression(case["source"]), mode="egglog-baseline") + + assert report.rendered == case["simplify_e_expr_python"] + + +def test_sbp_zero_times_quadratic_matches_haskell_canary() -> None: + case = next(case for case in GOLDEN_CASES if case["case_id"] == "sbp_zero_times_quadratic") + report = run_paper_pipeline(parse_expression(case["source"]), mode="egglog-baseline") + + assert report.rendered == case["simplify_e_expr_python"] + + +def test_disabling_add_comm_blocks_left_biased_factorization_path() -> None: + source = parse_expression("(1 / ((x0 * x0) + 1)) + (4 * (x1 * x1))") + expected = parse_expression("4 * ((x1 * x1) + (0.25 / ((x0 * x0) + 1)))") + + def bounded_schedule(basic_rules): + rewrite = param_eq_hegg.run(basic_rules | param_eq_hegg.fun_rules, scheduler=param_eq_hegg.scheduler) + round_sat = param_eq_hegg.analysis_schedule.saturate() + rewrite + return param_eq_hegg.scheduler.scope( + round_sat + round_sat + round_sat + round_sat + param_eq_hegg.analysis_schedule.saturate() + ) + + no_add_comm = EGraph(source) + no_add_comm.run(bounded_schedule(param_eq_hegg.baseline_basic_rules)) + with pytest.raises(Exception): + no_add_comm.check(eq(source).to(expected)) + + with_add_comm = EGraph(source) + with_add_comm.run(bounded_schedule(param_eq_hegg.basic_rules)) + with_add_comm.check(eq(source).to(expected)) + + +def test_pagie_operon_15_matches_haskell_semantics_on_samples() -> None: + case = next(case for case in GOLDEN_CASES if case["case_id"] == "pagie_operon_15") + observed = run_paper_pipeline(parse_expression(case["source"]), mode="egglog-baseline").extracted + expected = parse_expression(case["simplify_e_expr_python"]) + samples = ( + {"x0": -1.75, "x1": -1.25}, + {"x0": -0.5, "x1": 0.75}, + {"x0": 0.25, "x1": -1.5}, + {"x0": 0.5, "x1": 1.25}, + {"x0": 1.5, "x1": -0.25}, + {"x0": 1.75, "x1": 1.5}, + ) + + for env in samples: + observed_value = param_eq_hegg._eval_num(observed, env) + expected_value = param_eq_hegg._eval_num(expected, env) + assert observed_value is not None + assert expected_value is not None + assert abs(observed_value - expected_value) < 1e-9 + + +@pytest.mark.parametrize("case", GOLDEN_ANALYSIS_CASES, ids=lambda case: case["case_id"]) +def test_golden_root_analysis_matches_haskell(case: dict[str, object]) -> None: + expr = parse_expression(str(case["source"])) + egraph = EGraph() + egraph.register(expr) + + egraph.run(param_eq_hegg.total_ruleset) + egraph.check(eq(param_eq_hegg.const_value(expr)).to(_expected_analysis(case))) + + +@pytest.mark.parametrize("case", GOLDEN_REWRITE_CASES, ids=lambda case: case["case_id"]) +def test_golden_rewrite_tree_extraction_matches_haskell(case: dict[str, object]) -> None: + expr = parse_expression(str(case["source"])) + extracted, *_ = param_eq_hegg._run_single_pass(expr) + + assert render_num(extracted) == case["rewrite_tree_expr_python"] + + +@pytest.mark.parametrize("case", GOLDEN_SIMPLIFY_CASES, ids=lambda case: case["case_id"]) +def test_golden_simplify_e_matches_haskell(case: dict[str, object]) -> None: + expr = parse_expression(str(case["source"])) + report = run_paper_pipeline(expr, mode="egglog-baseline") + + assert report.rendered == case["simplify_e_expr_python"] + if case["compare_param_count"]: + assert report.after_params == case["simplify_e_param_count"] + + +def test_fixture_tracks_known_mismatches() -> None: + assert { + "sub_add_left_assoc", + "pagie_operon_15", + }.issubset(KNOWN_MISMATCH_CASE_IDS) diff --git a/python/egglog/exp/param_eq/test_replication_notebook.py b/python/egglog/exp/param_eq/test_replication_notebook.py new file mode 100644 index 00000000..2a46f4ff --- /dev/null +++ b/python/egglog/exp/param_eq/test_replication_notebook.py @@ -0,0 +1,18 @@ +"""Smoke test for running the retained param-eq notebook source in-process.""" + +from __future__ import annotations + +import json +import runpy +from pathlib import Path + + +def test_replication_notebook_runs_in_process() -> None: + notebook_source = Path(__file__).with_name("replication.py") + notebook_output = notebook_source.with_suffix(".ipynb") + + runpy.run_path(str(notebook_source), run_name="__main__") + + payload = json.loads(notebook_output.read_text()) + assert payload["cells"] + assert any(cell.get("outputs") for cell in payload["cells"] if cell.get("cell_type") == "code") diff --git a/python/egglog/pretty.py b/python/egglog/pretty.py index 008fb1bd..5cb28c84 100644 --- a/python/egglog/pretty.py +++ b/python/egglog/pretty.py @@ -197,7 +197,7 @@ def __call__(self, decl: AllDecls, toplevel: bool = False) -> None: # noqa: C90 self(rhs) case LetDecl(_, d) | ExprActionDecl(d) | ExprFactDecl(d): self(d.expr) - case ChangeDecl(_, d, _) | SaturateDecl(d) | RepeatDecl(d, _) | ActionCommandDecl(d): + case ChangeDecl(_, d, _) | SaturateDecl(d, _) | RepeatDecl(d, _) | ActionCommandDecl(d): self(d) case PanicDecl(_) | UnboundVarDecl(_) | LetRefDecl(_) | LitDecl(_) | PyObjectDecl(_): pass @@ -360,8 +360,9 @@ def uncached( # noqa: C901, PLR0911, PLR0912 if ruleset_ident: list_args.append(f"name={ruleset_ident.name!r})") return (f"unstable_combine_rulesets({', '.join(list_args)})", "combined_ruleset") - case SaturateDecl(schedule): - return f"{self(schedule, parens=True)}.saturate()", "schedule" + case SaturateDecl(schedule, stop_when_no_updates): + suffix = ".saturate(stop_when_no_updates=True)" if stop_when_no_updates else ".saturate()" + return f"{self(schedule, parens=True)}{suffix}", "schedule" case RepeatDecl(schedule, times): return f"{self(schedule, parens=True)} * {times}", "schedule" case SequenceDecl(schedules): @@ -383,12 +384,14 @@ def uncached( # noqa: C901, PLR0911, PLR0912 case DefaultRewriteDecl(): msg = "default rewrites should not be pretty printed" raise TypeError(msg) - case BackOffDecl(_, match_limit, ban_length): + case BackOffDecl(_, match_limit, ban_length, egg_like): list_args = [] if match_limit is not None: list_args.append(f"match_limit={match_limit}") if ban_length is not None: list_args.append(f"ban_length={ban_length}") + if egg_like: + list_args.append("egg_like=True") return f"back_off({', '.join(list_args)})", "scheduler" case ValueDecl(value): return str(value), "value" diff --git a/python/tests/test_high_level.py b/python/tests/test_high_level.py index 0efd66f8..3858c54d 100644 --- a/python/tests/test_high_level.py +++ b/python/tests/test_high_level.py @@ -1200,7 +1200,8 @@ def test_sequence_repeat_saturate(self): def test_backoff_scheduler(self): """ Passing `scheduler=...` to run(...) hoists the scheduler to the - outer scope. This is equivalent to an explicit outer `bo.scope(...)`. + outer scope. This is equivalent to an explicit outer `bo.scope(...)` + around the whole repeated schedule. https://egraphs.zulipchat.com/#narrow/channel/375765-egg.2Fegglog/topic/.E2.9C.94.20Backoff.20Scheduler.20Example/with/538745863 """ @@ -1209,23 +1210,56 @@ def test_backoff_scheduler(self): grow = ruleset(rule(includes(x)).then(includes(x + 1))) shrink = ruleset(rule(includes(x)).then(includes(x - 1))) - e1 = EGraph() - e1.register(includes(i64(0))) - # default scheduler - with e1: - e1.run((grow + shrink) * 3) - e1.check(includes(i64(3)), includes(i64(-3))) - # back-off implicit outer hoisting bo = back_off(match_limit=1) - with e1: - e1.run((run(grow, scheduler=bo) + shrink) * 3) - e1.check(includes(i64(2)), includes(i64(-3))) - e1.check_fail(includes(i64(3))) - # back off inner hoisting - with e1: - e1.run(bo.scope(run(grow, scheduler=bo) + shrink) * 3) - e1.check(includes(i64(1)), includes(i64(-3))) - e1.check_fail(includes(i64(2))) + + def _run_and_collect(schedule: Schedule) -> set[int]: + egraph = EGraph() + egraph.register(includes(i64(0))) + with egraph: + egraph.run(schedule) + values = set() + for i in range(-3, 4): + try: + egraph.check(includes(i64(i))) + values.add(i) + except EggSmolError: + pass + return values + + default_values = _run_and_collect((grow + shrink) * 3) + assert default_values == {-3, -2, -1, 0, 1, 2, 3} + + implicit_values = _run_and_collect((run(grow, scheduler=bo) + shrink) * 3) + explicit_values = _run_and_collect(bo.scope((run(grow, scheduler=bo) + shrink) * 3)) + + assert implicit_values == explicit_values == {-3, -2, -1, 0, 1, 2} + + def test_backoff_scheduler_egg_like_flag_changes_match_frontier(self): + r = relation("R", i64) + s = relation("S", i64) + seed = relation("Seed") + x = var("x", i64) + + copy = ruleset(rule(r(x)).then(s(x)), name="copy") + grow = ruleset(rule(seed()).then(r(i64(3))), name="grow") + + def _run_and_collect(*, egg_like: bool) -> set[int]: + egraph = EGraph() + egraph.register(r(i64(0)), r(i64(1)), r(i64(2)), seed()) + bo = back_off(match_limit=2, ban_length=2, egg_like=egg_like) + schedule = bo.scope(seq(run(copy, scheduler=bo), run(grow), run(copy, scheduler=bo))) + egraph.run(schedule) + values = set() + for i in range(4): + try: + egraph.check(s(i64(i))) + values.add(i) + except EggSmolError: + pass + return values + + assert _run_and_collect(egg_like=False) == {0, 1, 2} + assert _run_and_collect(egg_like=True) == {0, 1, 2, 3} def test_custom_scheduler_invalid_until(self): """ @@ -1247,6 +1281,21 @@ def test_custom_scheduler_invalid_until(self): with pytest.raises(ValueError, match="Can only have one until fact with custom scheduler"): egraph.run(run(r, rel(i64(0)), rel(i64(1)), scheduler=bo)) + def test_custom_scheduler_saturate_can_stop_and_stop_when_no_updates(self): + rel = relation("rel", i64) + x = var("x", i64) + noop = ruleset(rule(rel(x)).then(rel(x))) + bo = back_off(match_limit=1, ban_length=3) + + egraph = EGraph() + egraph.register(rel(i64(1)), rel(i64(2)), rel(i64(3)), rel(i64(4))) + + report = egraph.run(bo.scope(run(noop, scheduler=bo).saturate(stop_when_no_updates=True))) + + assert not report.updated + assert not report.can_stop + egraph.check(rel(i64(1)), rel(i64(2)), rel(i64(3)), rel(i64(4))) + @function def ff(x: i64Like, y: i64Like) -> E: ... diff --git a/python/tests/test_pretty.py b/python/tests/test_pretty.py index d2a4dfc7..01aa69ed 100644 --- a/python/tests/test_pretty.py +++ b/python/tests/test_pretty.py @@ -127,6 +127,7 @@ def my_very_long_function_name() -> A: ... r = ruleset(name="r") bo = back_off(ban_length=5) +bo_egg = back_off(ban_length=5, egg_like=True) class BadRepr: @@ -222,6 +223,11 @@ def __repr__(self) -> str: # Schedules pytest.param(r, 'ruleset(name="r")', id="ruleset with name"), pytest.param(r.saturate(), 'ruleset(name="r").saturate()', id="saturate"), + pytest.param( + r.saturate(stop_when_no_updates=True), + 'ruleset(name="r").saturate(stop_when_no_updates=True)', + id="saturate stop_when_no_updates", + ), pytest.param(r * 10, 'ruleset(name="r") * 10', id="repeat"), pytest.param(r + r, 'ruleset(name="r") + ruleset(name="r")', id="sequence"), pytest.param(seq(r, r, r), 'seq(ruleset(name="r"), ruleset(name="r"), ruleset(name="r"))', id="seq"), @@ -236,6 +242,12 @@ def __repr__(self) -> str: '_scheduler_1 = back_off(ban_length=5)\n_scheduler_1.scope(run(ruleset(name="r"), scheduler=_scheduler_1))', id="scoped scheduler", ), + pytest.param(bo_egg, "back_off(ban_length=5, egg_like=True)", id="egg-like scheduler"), + pytest.param( + run(r, h(), scheduler=bo_egg), + 'run(ruleset(name="r"), h(), scheduler=back_off(ban_length=5, egg_like=True))', + id="run with egg-like scheduler", + ), # Functions pytest.param(f, "f", id="function"), pytest.param(A().method, "A().method", id="method"), diff --git a/src/conversions.rs b/src/conversions.rs index 00d46f87..6a88b6b6 100644 --- a/src/conversions.rs +++ b/src/conversions.rs @@ -641,6 +641,7 @@ convert_struct!( egglog_reports::RunReport: "{:?}" => RunReport( iterations: Vec, updated: bool, + can_stop: bool, search_and_apply_time_per_rule: HashMap, num_matches_per_rule: HashMap, search_and_apply_time_per_ruleset: HashMap, @@ -654,6 +655,7 @@ convert_struct!( .map(|i| Arc::new(i.clone().into())) .collect(), updated: r.updated, + can_stop: r.can_stop, search_and_apply_time_per_rule: r .search_and_apply_time_per_rule .iter() @@ -683,6 +685,7 @@ convert_struct!( r -> RunReport { iterations: r.iterations.iter().map(|i| i.as_ref().into()).collect(), updated: r.updated, + can_stop: r.can_stop, search_and_apply_time_per_rule: r .search_and_apply_time_per_rule .iter() diff --git a/uv.lock b/uv.lock index d97e6708..d44dba96 100644 --- a/uv.lock +++ b/uv.lock @@ -46,6 +46,22 @@ wheels = [ { url = "https://files.pythonhosted.org/packages/7e/b3/6b4067be973ae96ba0d615946e314c5ae35f9f993eca561b356540bb0c2b/alabaster-1.0.0-py3-none-any.whl", hash = "sha256:fc6786402dc3fcb2de3cabd5fe455a2db534b371124f1f21de8731783dec828b", size = 13929, upload-time = "2024-07-26T18:15:02.05Z" }, ] +[[package]] +name = "altair" +version = "6.0.0" +source = { registry = "https://pypi.org/simple" } +dependencies = [ + { name = "jinja2" }, + { name = "jsonschema" }, + { name = "narwhals" }, + { name = "packaging" }, + { name = "typing-extensions", marker = "python_full_version < '3.15'" }, +] +sdist = { url = "https://files.pythonhosted.org/packages/f7/c0/184a89bd5feba14ff3c41cfaf1dd8a82c05f5ceedbc92145e17042eb08a4/altair-6.0.0.tar.gz", hash = "sha256:614bf5ecbe2337347b590afb111929aa9c16c9527c4887d96c9bc7f6640756b4", size = 763834, upload-time = "2025-11-12T08:59:11.519Z" } +wheels = [ + { url = "https://files.pythonhosted.org/packages/db/33/ef2f2409450ef6daa61459d5de5c08128e7d3edb773fefd0a324d1310238/altair-6.0.0-py3-none-any.whl", hash = "sha256:09ae95b53d5fe5b16987dccc785a7af8588f2dca50de1e7a156efa8a461515f8", size = 795410, upload-time = "2025-11-12T08:59:09.804Z" }, +] + [[package]] name = "anyio" version = "4.11.0" @@ -622,6 +638,7 @@ array = [ ] dev = [ { name = "ablog" }, + { name = "altair" }, { name = "anywidget", extra = ["dev"] }, { name = "array-api-compat" }, { name = "ipykernel" }, @@ -632,11 +649,13 @@ dev = [ { name = "matplotlib" }, { name = "mypy" }, { name = "myst-nb" }, + { name = "nbclient" }, { name = "nbconvert" }, { name = "numba" }, { name = "numpy" }, { name = "opentelemetry-exporter-otlp-proto-http" }, { name = "opentelemetry-sdk" }, + { name = "pandas" }, { name = "pre-commit" }, { name = "pydata-sphinx-theme" }, { name = "pytest" }, @@ -650,9 +669,11 @@ dev = [ { name = "sphinx-gallery" }, { name = "sphinxcontrib-mermaid" }, { name = "syrupy" }, + { name = "vl-convert-python" }, ] docs = [ { name = "ablog" }, + { name = "altair" }, { name = "anywidget" }, { name = "array-api-compat" }, { name = "jupytext" }, @@ -663,27 +684,35 @@ docs = [ { name = "nbconvert" }, { name = "numba" }, { name = "numpy" }, + { name = "pandas" }, { name = "pydata-sphinx-theme" }, { name = "scikit-learn" }, { name = "seaborn" }, { name = "sphinx-autodoc-typehints" }, { name = "sphinx-gallery" }, { name = "sphinxcontrib-mermaid" }, + { name = "vl-convert-python" }, ] test = [ + { name = "altair" }, { name = "array-api-compat" }, + { name = "ipykernel" }, + { name = "jupytext" }, { name = "llvmlite" }, { name = "mypy" }, + { name = "nbclient" }, { name = "numba" }, { name = "numpy" }, { name = "opentelemetry-exporter-otlp-proto-http" }, { name = "opentelemetry-sdk" }, + { name = "pandas" }, { name = "pytest" }, { name = "pytest-benchmark" }, { name = "pytest-codspeed" }, { name = "pytest-xdist" }, { name = "scikit-learn" }, { name = "syrupy" }, + { name = "vl-convert-python" }, ] [package.dev-dependencies] @@ -695,6 +724,8 @@ dev = [ [package.metadata] requires-dist = [ { name = "ablog", marker = "extra == 'docs'" }, + { name = "altair", marker = "extra == 'docs'" }, + { name = "altair", marker = "extra == 'test'" }, { name = "anywidget" }, { name = "anywidget", marker = "extra == 'docs'" }, { name = "anywidget", extras = ["dev"], marker = "extra == 'dev'" }, @@ -706,20 +737,25 @@ requires-dist = [ { name = "egglog", extras = ["docs", "test"], marker = "extra == 'dev'" }, { name = "graphviz" }, { name = "ipykernel", marker = "extra == 'dev'" }, + { name = "ipykernel", marker = "extra == 'test'" }, { name = "jupyterlab", marker = "extra == 'dev'" }, { name = "jupytext", marker = "extra == 'docs'" }, + { name = "jupytext", marker = "extra == 'test'" }, { name = "line-profiler", marker = "extra == 'docs'" }, { name = "llvmlite", marker = "extra == 'array'", specifier = ">=0.42.0" }, { name = "matplotlib", marker = "extra == 'docs'" }, { name = "mypy", marker = "extra == 'dev'" }, { name = "mypy", marker = "extra == 'test'" }, { name = "myst-nb", marker = "extra == 'docs'" }, + { name = "nbclient", marker = "extra == 'test'" }, { name = "nbconvert", marker = "extra == 'docs'" }, { name = "numba", marker = "extra == 'array'", specifier = ">=0.59.1" }, { name = "numpy", marker = 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python/egglog/exp/param_eq/Makefile | 42 +- python/egglog/exp/param_eq/README.md | 339 +++- python/egglog/exp/param_eq/__new_plan.md | 58 + .../param_eq/artifacts/ablation_summary.csv | 6 + .../param_eq/artifacts/egglog_paper_rows.csv | 682 +++---- .../artifacts/egglog_paper_rows.csv.partial | 60 - .../param_eq/artifacts/haskell_live_rows.csv | 342 ++++ python/egglog/exp/param_eq/compare_trace.py | 365 ++++ .../exp/param_eq/generate_haskell_golden.py | 32 +- .../egglog/exp/param_eq/haskell_golden.json | 60 +- python/egglog/exp/param_eq/pipeline.py | 206 ++- python/egglog/exp/param_eq/replication.ipynb | 1582 +++++++++++++---- python/egglog/exp/param_eq/replication.py | 484 ++++- .../egglog/exp/param_eq/replication_status.md | 526 +++++- .../egglog/exp/param_eq/run_egglog_corpus.py | 41 +- .../egglog/exp/param_eq/run_haskell_corpus.py | 288 +++ python/egglog/exp/param_eq/test_pipeline.py | 75 +- python/egglog/exp/param_eq/test_trace.py | 195 ++ python/egglog/exp/param_eq/trace_egglog.py | 183 ++ python/egglog/exp/param_eq/trace_haskell.py | 312 ++++ python/egglog/exp/param_eq/trace_tables.py | 351 ++++ python/tests/test_high_level.py | 74 + src/egraph.rs | 52 + src/lib.rs | 2 + src/scheduler_handle.rs | 233 +++ 29 files changed, 5691 insertions(+), 946 deletions(-) create mode 100644 python/egglog/exp/param_eq/__new_plan.md create mode 100644 python/egglog/exp/param_eq/artifacts/ablation_summary.csv delete mode 100644 python/egglog/exp/param_eq/artifacts/egglog_paper_rows.csv.partial create mode 100644 python/egglog/exp/param_eq/artifacts/haskell_live_rows.csv create mode 100644 python/egglog/exp/param_eq/compare_trace.py create mode 100644 python/egglog/exp/param_eq/run_haskell_corpus.py create mode 100644 python/egglog/exp/param_eq/test_trace.py create mode 100644 python/egglog/exp/param_eq/trace_egglog.py create mode 100644 python/egglog/exp/param_eq/trace_haskell.py create mode 100644 python/egglog/exp/param_eq/trace_tables.py create mode 100644 src/scheduler_handle.rs diff --git a/.gitignore b/.gitignore index 02661d9f..3cea3d40 100644 --- a/.gitignore +++ b/.gitignore @@ -87,3 +87,4 @@ visualizer.tgz package .mypy_cache/ *.json +python/egglog/exp/param_eq/trace/ diff --git a/AGENTS.md b/AGENTS.md index 6aecc350..7a4b76d5 100644 --- a/AGENTS.md +++ b/AGENTS.md @@ -44,6 +44,7 @@ ## Verification - Prefer the minimal code change and the minimal diff that solves the task; only broaden the change if the smaller fix is not sufficient. +- For long-running profiling or trace probes, run them with explicit timeouts, check for lingering worker processes before and after, and inspect memory usage after any timeout or manual kill before starting the next experiment. - Run `make mypy` for typing changes. - Run targeted pytest for touched modules. - Run `make docs` for docs or public API changes. diff --git a/python/egglog/bindings.pyi b/python/egglog/bindings.pyi index d8f1b230..650aa316 100644 --- a/python/egglog/bindings.pyi +++ b/python/egglog/bindings.pyi @@ -78,6 +78,7 @@ __all__ = [ "RustSpan", "Saturate", "Scan", + "SchedulerHandle", "Schema", "Sequence", "SerializedEGraph", @@ -135,6 +136,22 @@ class EGraph: def run_program( self, *commands: _Command, traceparent: str | None = None, tracestate: str | None = None ) -> list[_CommandOutput]: ... + def add_backoff_scheduler( + self, + match_limit: int, + ban_length: int, + *, + egg_like: bool = False, + haskell_backoff: bool = False, + ) -> SchedulerHandle: ... + def run_ruleset_with_scheduler( + self, + ruleset: str, + scheduler: SchedulerHandle, + *, + traceparent: str | None = None, + tracestate: str | None = None, + ) -> RunReport: ... def serialize( self, root_eclasses: list[_Expr], @@ -175,6 +192,9 @@ class Value: def __gt__(self, other: object) -> bool: ... def __ge__(self, other: object) -> bool: ... +@final +class SchedulerHandle: ... + @final class EggSmolError(Exception): context: str diff --git a/python/egglog/egraph.py b/python/egglog/egraph.py index 38a58bcb..4c393791 100644 --- a/python/egglog/egraph.py +++ b/python/egglog/egraph.py @@ -976,6 +976,31 @@ def _run_schedule(self, schedule: Schedule) -> bindings.RunReport: assert isinstance(command_output, bindings.RunScheduleOutput) return command_output.report + def _add_backoff_scheduler( + self, + *, + match_limit: int, + ban_length: int, + egg_like: bool, + haskell_backoff: bool = False, + ) -> bindings.SchedulerHandle: + return self._egraph.add_backoff_scheduler( + match_limit, + ban_length, + egg_like=egg_like, + haskell_backoff=haskell_backoff, + ) + + def _run_ruleset_with_scheduler( + self, + ruleset: Ruleset | UnstableCombinedRuleset, + scheduler: bindings.SchedulerHandle, + ) -> bindings.RunReport: + self._add_decls(ruleset) + ruleset_ident = ruleset.__egg_ident__ + self._state.ruleset_to_egg(ruleset_ident) + return call_with_current_trace(self._egraph.run_ruleset_with_scheduler, str(ruleset_ident), scheduler) + def stats(self) -> bindings.RunReport: """ Returns the overall run report for the egraph. diff --git a/python/egglog/exp/param_eq/Makefile b/python/egglog/exp/param_eq/Makefile index 43cc4304..b5dff2c9 100644 --- a/python/egglog/exp/param_eq/Makefile +++ b/python/egglog/exp/param_eq/Makefile @@ -1,9 +1,10 @@ # Canonical local workflow for the retained param-eq replication package. # The file dependencies document the expected order: # 1. normalize archived Haskell outputs -# 2. run the Egglog corpus against those normalized rows -# 3. refresh the golden cases and notebook -# 4. run the replication-local tests +# 2. run the current local Haskell pipeline across the same rows +# 3. run the Egglog corpus baseline and scheduler ablations against those rows +# 4. refresh the golden cases and notebook +# 5. run the replication-local tests PARAM_EQ_DIR := $(abspath $(dir $(lastword $(MAKEFILE_LIST)))) REPO_ROOT := $(abspath $(PARAM_EQ_DIR)/../../../..) @@ -13,9 +14,12 @@ export EGGLOG_PARAM_EQ_DATA_DIR ARTIFACT_DIR := $(PARAM_EQ_DIR)/artifacts GOLDEN := $(PARAM_EQ_DIR)/haskell_golden.json NOTEBOOK := $(PARAM_EQ_DIR)/replication.ipynb -HASKELL_ROWS := $(ARTIFACT_DIR)/haskell_paper_rows.csv +ARCHIVED_HASKELL_ROWS := $(ARTIFACT_DIR)/haskell_paper_rows.csv +LIVE_HASKELL_ROWS := $(ARTIFACT_DIR)/haskell_live_rows.csv RUNTIME_ROWS := $(ARTIFACT_DIR)/pagie_runtime_scatter.csv EGGLOG_ROWS := $(ARTIFACT_DIR)/egglog_paper_rows.csv +EGGLOG_ABLATION_ROWS := $(ARTIFACT_DIR)/egglog_ablation_rows.csv +ABLATION_SUMMARY := $(ARTIFACT_DIR)/ablation_summary.csv HASKELL_FIXTREE := $(EGGLOG_PARAM_EQ_DATA_DIR)/src/FixTree.hs HASKELL_MAIN := $(EGGLOG_PARAM_EQ_DATA_DIR)/src/Main.hs @@ -28,23 +32,41 @@ HASKELL_EXPRS := \ $(wildcard $(HASKELL_RESULTS)/exprs/*_exprs_*) \ $(wildcard $(HASKELL_RESULTS)/exprs_simpl/*_exprs_*) -.PHONY: golden artifacts notebook test all +.PHONY: golden archived-artifacts live-haskell artifacts ablations notebook test all -$(HASKELL_ROWS) $(RUNTIME_ROWS): $(PARAM_EQ_DIR)/normalize_archives.py $(PARAM_EQ_DIR)/paths.py $(HASKELL_TABLES) $(HASKELL_EXPRS) $(HASKELL_RUNTIME) +$(ARCHIVED_HASKELL_ROWS) $(RUNTIME_ROWS): $(PARAM_EQ_DIR)/normalize_archives.py $(PARAM_EQ_DIR)/paths.py $(HASKELL_TABLES) $(HASKELL_EXPRS) $(HASKELL_RUNTIME) cd $(REPO_ROOT) && uv run python -m egglog.exp.param_eq.normalize_archives -$(EGGLOG_ROWS): $(PARAM_EQ_DIR)/run_egglog_corpus.py $(PARAM_EQ_DIR)/pipeline.py $(HASKELL_ROWS) $(RUNTIME_ROWS) +$(LIVE_HASKELL_ROWS): $(PARAM_EQ_DIR)/run_haskell_corpus.py $(PARAM_EQ_DIR)/generate_haskell_golden.py $(PARAM_EQ_DIR)/pipeline.py $(PARAM_EQ_DIR)/paths.py $(ARCHIVED_HASKELL_ROWS) $(HASKELL_FIXTREE) $(HASKELL_MAIN) + cd $(REPO_ROOT) && uv run python -m egglog.exp.param_eq.run_haskell_corpus + +$(EGGLOG_ROWS): $(PARAM_EQ_DIR)/run_egglog_corpus.py $(PARAM_EQ_DIR)/pipeline.py $(ARCHIVED_HASKELL_ROWS) $(RUNTIME_ROWS) cd $(REPO_ROOT) && uv run python -m egglog.exp.param_eq.run_egglog_corpus -$(GOLDEN): $(PARAM_EQ_DIR)/generate_haskell_golden.py $(PARAM_EQ_DIR)/pipeline.py $(PARAM_EQ_DIR)/paths.py $(HASKELL_FIXTREE) $(HASKELL_MAIN) $(HASKELL_ROWS) +$(EGGLOG_ABLATION_ROWS): $(PARAM_EQ_DIR)/run_egglog_corpus.py $(PARAM_EQ_DIR)/pipeline.py $(ARCHIVED_HASKELL_ROWS) $(LIVE_HASKELL_ROWS) + cd $(REPO_ROOT) && uv run python -m egglog.exp.param_eq.run_egglog_corpus \ + --output $(EGGLOG_ABLATION_ROWS) \ + --mode egglog-baseline \ + --mode no-haskell-backoff \ + --mode no-graph-size-stop \ + --mode no-bound-scheduler \ + --mode no-fresh-rematch + +$(GOLDEN): $(PARAM_EQ_DIR)/generate_haskell_golden.py $(PARAM_EQ_DIR)/pipeline.py $(PARAM_EQ_DIR)/paths.py $(HASKELL_FIXTREE) $(HASKELL_MAIN) $(ARCHIVED_HASKELL_ROWS) cd $(REPO_ROOT) && uv run python -m egglog.exp.param_eq.generate_haskell_golden -$(NOTEBOOK): $(PARAM_EQ_DIR)/replication.py $(HASKELL_ROWS) $(EGGLOG_ROWS) $(RUNTIME_ROWS) +$(NOTEBOOK): $(PARAM_EQ_DIR)/replication.py $(ARCHIVED_HASKELL_ROWS) $(LIVE_HASKELL_ROWS) $(EGGLOG_ROWS) $(ABLATION_SUMMARY) $(RUNTIME_ROWS) cd $(REPO_ROOT) && uv run python python/egglog/exp/param_eq/replication.py +archived-artifacts: $(ARCHIVED_HASKELL_ROWS) $(RUNTIME_ROWS) + +live-haskell: $(LIVE_HASKELL_ROWS) + golden: $(GOLDEN) -artifacts: $(EGGLOG_ROWS) +artifacts: $(ARCHIVED_HASKELL_ROWS) $(RUNTIME_ROWS) $(LIVE_HASKELL_ROWS) $(EGGLOG_ROWS) + +ablations: $(EGGLOG_ABLATION_ROWS) notebook: $(NOTEBOOK) diff --git a/python/egglog/exp/param_eq/README.md b/python/egglog/exp/param_eq/README.md index faa36b68..20f1540b 100644 --- a/python/egglog/exp/param_eq/README.md +++ b/python/egglog/exp/param_eq/README.md @@ -25,6 +25,48 @@ The main division of responsibility is: - [replication_status.md](replication_status.md) says what still differs, what we tried, and what hypothesis remains live +## Problem And Data Overview + +This replication is about a symbolic-regression simplification pipeline, not +about training regressors from scratch. + +The raw inputs here are candidate formulas that were already produced by older +symbolic-regression systems. The `param-eq-haskell` code then simplifies those +formulas with equality saturation and compares how many free numeric parameters +remain afterward. + +The main terms used throughout this directory are: + +- `Pagie` and `Kotanchek` + - the two benchmark families carried forward from the archived Haskell + results + - each row is one symbolic-regression formula from one of those benchmark + suites +- `Bingo`, `EPLEX`, `FEAT`, `GOMEA`, `Operon`, `SBP`, and `SRjl` + - the symbolic-regression systems that produced the candidate formulas in the + archived data + - in the normalized notebook artifacts, `GOMEA` is presented as `GP-GOMEA` + and `SRjl` as `PySR` to make the labels easier to read +- `original_expr` + - the original formula as archived from the benchmark pipeline +- `sympy_expr` + - the corresponding formula after the archived Sympy normalization step +- `orig_params` / `simpl_params` + - the number of numeric parameters before and after simplification +- `n_rank` + - the archived paper's simplification-rank statistic for that row + +So when the notebook compares Egglog to Haskell, it is asking: + +- given the same archived benchmark formula, +- does Egglog simplify it to roughly the same parameter count and overall + complexity as the Haskell baseline? + +The most important practical point is that the algorithm names are only labels +for where a formula came from. The replication target here is the Haskell +simplifier's behavior on those formulas, not the training behavior of Bingo, +EPLEX, Operon, or the other upstream systems. + ## Retained files - [pipeline.py](pipeline.py): canonical Egglog translation of the paper-era @@ -33,10 +75,18 @@ The main division of responsibility is: [haskell_golden.json](haskell_golden.json) from live Haskell runs - [normalize_archives.py](normalize_archives.py): normalizes the archived Haskell paper outputs into checked-in CSV artifacts +- [run_haskell_corpus.py](run_haskell_corpus.py): runs the current local + Haskell `simplifyE` pipeline across the retained paper rows and writes a + live full-corpus comparison artifact - [run_egglog_corpus.py](run_egglog_corpus.py): runs the Egglog baseline across - the archived paper rows + the archived paper rows, and can compare multiple pipeline modes - [inspect_case.py](inspect_case.py): focused case inspector for schedule and extraction debugging +- [trace_tables.py](trace_tables.py), + [trace_egglog.py](trace_egglog.py), + [trace_haskell.py](trace_haskell.py), and + [compare_trace.py](compare_trace.py): local full-state trace/comparison tools + for stepwise Haskell-vs-Egglog debugging - [replication.py](replication.py): jupytext notebook source - [replication.ipynb](replication.ipynb): executed notebook artifact generated from the jupytext source @@ -44,6 +94,11 @@ The main division of responsibility is: fixes, and next hypotheses - [artifacts/](artifacts/): checked-in normalized paper artifacts used by the notebook + - `haskell_paper_rows.csv`: archived published-paper baseline rows + - `haskell_live_rows.csv`: current local Haskell results on the same rows + - `egglog_paper_rows.csv`: current Egglog results on the same rows + - `ablation_summary.csv`: scheduler-ablation acceptance summary against the + live Haskell baseline - [haskell_golden.json](haskell_golden.json): Haskell-backed golden cases used by [test_pipeline.py](test_pipeline.py) @@ -60,11 +115,30 @@ The supported targets are: - `make golden`: regenerate [haskell_golden.json](haskell_golden.json) from live Haskell runs -- `make artifacts`: regenerate the normalized paper CSV artifacts +- `make archived-artifacts`: regenerate the normalized archived-paper CSVs +- `make live-haskell`: regenerate the live full-corpus Haskell artifact +- `make artifacts`: regenerate all CSV artifacts, including archived Haskell, + live Haskell, and Egglog rows - `make notebook`: run [replication.py](replication.py) and refresh [replication.ipynb](replication.ipynb) - `make test`: run the replication-local pytest targets +For one-off schedule probes, use the module CLI directly: + +```bash +uv run python -m egglog.exp.param_eq --mode egglog-haskell-literal --expr='...' +``` + +For stepwise full-state comparisons, run: + +```bash +uv run python -m egglog.exp.param_eq.compare_trace --case-id pagie_operon_15 +``` + +That writes ignored trace artifacts under `python/egglog/exp/param_eq/trace/`, +including one JSON snapshot per step for each system plus a short comparison +summary. + ## Data root By default the live Haskell/source data root is expected at the sibling path @@ -87,6 +161,71 @@ The checked-in notebook and tests do not shell out to Haskell during normal execution. They only read the checked-in artifacts in [artifacts/](artifacts/) and [haskell_golden.json](haskell_golden.json). +## Archived Vs Live Haskell Results + +The current notebook is intentionally anchored to the archived paper-style CSVs +in [artifacts/](artifacts/) for the published-figure recreation section, but +the main Egglog-vs-Haskell comparison now uses the live full-corpus Haskell +artifact. That keeps the notebook honest about current behavior while still +making the published-paper drift visible. + +That also means there are now two distinct comparison targets: + +- archived-paper artifacts + - what the notebook uses to recreate the published paper figures +- current local Haskell runs + - what [run_haskell_corpus.py](run_haskell_corpus.py) and + [generate_haskell_golden.py](generate_haskell_golden.py) use for the live + comparison baseline + +As we found with rows like `kotanchek:EPLEX#4`, those two can drift apart. The +right way to handle that is not to overwrite the archived CSVs. It is to keep +both artifacts side-by-side and compare Egglog primarily to the live one, while +still reporting drift from the published archived results. + +That would let us separate three questions cleanly: + +- does Egglog match the archived paper artifact? +- does Egglog match the current local Haskell implementation? +- where is the remaining gap actually archive drift rather than an Egglog bug? + +## Where To Find The Formulas + +For the exact formulas used by the notebook and corpus runner, start with the +checked-in CSV artifacts: + +- [artifacts/haskell_paper_rows.csv](artifacts/haskell_paper_rows.csv) + - `original_expr`: the archived original benchmark formula for that row + - `sympy_expr`: the archived Sympy-normalized formula for that row +- [artifacts/haskell_live_rows.csv](artifacts/haskell_live_rows.csv) + - the current local Haskell results for the same retained rows + - includes live `simpl_params`, `simpl_params_sympy`, and rendered outputs +- [artifacts/egglog_paper_rows.csv](artifacts/egglog_paper_rows.csv) + - repeats `original_expr` and `sympy_expr` + - adds the current Egglog outputs and counts for the same rows + +The stable row identifiers for cross-referencing are: + +- `dataset` +- `algorithm` +- `algo_row` + +If you want the raw Haskell-side expression files those rows came from, look +under the live data checkout at: + +- `../param-eq-haskell/results/exprs/` +- `../param-eq-haskell/results/exprs_simpl/` +- `../param-eq-haskell/results/dataset/Pagie.csv` +- `../param-eq-haskell/results/dataset/Kotanchek.csv` + +Examples: + +- `../param-eq-haskell/results/exprs/Operon_exprs_pagie` +- `../param-eq-haskell/results/exprs/EPLEX_exprs_kotanchek` + +Those files are the best place to inspect the original benchmark formulas in +the same per-algorithm layout the Haskell pipeline used. + ## What To Read First If you want the current observed results, start with @@ -98,7 +237,7 @@ If you want the current remaining gap, start with [replication_status.md](replication_status.md). It intentionally does not repeat the notebook plots or corpus-level numbers. Instead it records: -- the accepted schedule approximation +- the accepted baseline - the remaining mismatch frontier - rejected fixes that should not be repeated casually - the current hypothesis for why exact parity is still missing @@ -116,14 +255,196 @@ it mirrors: - `rewriteTree` - `simplifyE` -The accepted approximation today is the bounded four-round schedule documented -in [replication_status.md](replication_status.md). The quantitative evidence for -keeping that approximation, and the corpus-level consequences of it, are in the -comparison notebook: +The retained default in [pipeline.py](pipeline.py) is now the more literal +Haskell-shaped inner loop: + +- outer pass cap `2` +- inner iteration cap `30` +- backoff settings `2500`, `30` +- one reused bound scheduler per `rewriteTree`-like pass +- full Haskell rewrite set `rewritesBasic <> rewritesFun` +- one saturated analysis round after each rewrite round +- stop based on whole-pass e-graph size stability, which is the closest current + Egglog analogue to Haskell's rebuild-size check + +There is still an explicit `egglog-haskell-literal` mode in +[pipeline.py](pipeline.py), but it now describes the retained baseline rather +than a separate exploratory schedule. + +## Egglog Changes Needed So Far + +Getting close to the Haskell baseline required a few specific Egglog-side +changes. The high-level Python schedule alone was not enough. + +### 1. Fresh-rematch scheduling, not only backlog replay + +Haskell's inner loop rematches against the rebuilt graph each iteration. The +old Egglog backlog scheduler preserved skipped residual matches instead, which +is a different contract. + +To express the Haskell behavior cleanly, the engine split scheduler behavior +into two kinds: + +- backlog scheduler: + - preserves the older Egglog residual-match behavior +- fresh scheduler: + - rematches the rebuilt graph each iteration, which is closer to + Haskell / hegg + +That landed in the engine layer as: + +- [/Users/saul/p/egg-smol/src/scheduler.rs](/Users/saul/p/egg-smol/src/scheduler.rs) + - `FreshScheduler` + - `EGraph::add_fresh_scheduler(...)` +- [/Users/saul/p/egglog-experimental/src/scheduling.rs](/Users/saul/p/egglog-experimental/src/scheduling.rs) + - `back-off` + - `back-off-egg` +- [/Users/saul/p/egg-smol-python/python/egglog/egraph.py](/Users/saul/p/egg-smol-python/python/egglog/egraph.py) + - `back_off(..., egg_like=True)` + +For `param_eq`, the retained baseline now uses the fresh-rematch path because +that is the closer analogue of the Haskell inner loop. + +### 2. One persistent scheduler across one `rewriteTree` pass + +Haskell does not recreate the backoff scheduler state every inner iteration. +One `BackoffScheduler 2500 30` lives across a whole `rewriteTree` call. + +To reproduce that in Python, we needed a low-level bound-scheduler handle so +the same scheduler instance could be reused across multiple `run(...)` calls on +one `EGraph`. + +That required binding-layer support in: + +- [/Users/saul/p/egg-smol-python/src/scheduler_handle.rs](/Users/saul/p/egg-smol-python/src/scheduler_handle.rs) + - `SchedulerHandle` +- [/Users/saul/p/egg-smol-python/src/egraph.rs](/Users/saul/p/egg-smol-python/src/egraph.rs) + - `add_backoff_scheduler(...)` + - `run_ruleset_with_scheduler(...)` +- [/Users/saul/p/egg-smol-python/python/egglog/egraph.py](/Users/saul/p/egg-smol-python/python/egglog/egraph.py) + - `_add_backoff_scheduler(...)` + - `_run_ruleset_with_scheduler(...)` + +Without that handle, changing the Python schedule shape alone was not enough to +get close to Haskell. + +### 3. Stop on graph stability, not on whether the scheduler still has work + +Haskell's inner loop stops when applying rewrites and rebuilding no longer +changes the graph. In this Python translation, rebuild-like propagation is +approximated by a saturated analysis round after each rewrite round. + +So the retained baseline now stops based on whole-pass e-graph size stability +after: + +- one rewrite round under the bound scheduler +- one saturated analysis round + +That is why [pipeline.py](pipeline.py) uses `_serialized_counts(...)` around +the loop instead of stopping on the scheduler's own `can_stop` result. + +### 4. Haskell-style backoff accounting inside the custom scheduler + +The next important difference was inside the backoff scheduler itself. + +Haskell's backoff effectively counts substitution width: + +- total matched substitutions, not only raw match count + +Egglog's first Python-side backoff version only counted the number of matched +tuples. That let wide factorization and additive rules run longer than they do +in Haskell. + +The retained `param_eq` baseline now uses the Haskell-style threshold by +passing `haskell_backoff=True` through the binding layer. That logic lives in: + +- [/Users/saul/p/egg-smol-python/src/scheduler_handle.rs](/Users/saul/p/egg-smol-python/src/scheduler_handle.rs) + - `BackOffState::choose_or_ban(...)` + +In practice, that was necessary to suppress the earlier `pagie_operon_15` +factorization/A-C blowup and make the literal schedule practical. + +### 5. Keep the Haskell rewrite set intact + +We also learned that the baseline should not be made "fast" by silently +dropping Haskell rules like `add_comm`. + +The retained baseline now keeps the Haskell rewrite set intact in +[pipeline.py](pipeline.py): + +- `rewritesBasic <> rewritesFun` +- including `add_comm` + +At this point, the main remaining gaps are no longer explained by a truncated +ruleset or a clearly weaker high-level schedule. The remaining work is in the +smaller mismatch tail. + +The current evidence for keeping the retained baseline while continuing to probe +the remaining mismatch frontier is split across: - [replication.py](replication.py), especially: - - `## 4. Haskell vs Egglog Comparison` - - `## 5. Current Limitations and Likely A/C Effects` + - `## 5. Current Local Haskell vs Egglog Comparison` + - `## 6. Scheduler Ablation` + - `## 7. Current Limitations` +- [replication_status.md](replication_status.md), especially: + - `## Accepted Baseline` + - `## Mismatch Frontier` + - `## Current Live Hypothesis` + +Important current update: + +- after regenerating a full-corpus live Haskell artifact and rerunning the + direct Haskell-shaped Egglog baseline, all paper rows still saturate on both + original and Sympy inputs +- exact parameter-count matches against the **current local Haskell** artifact + are now: + - `318 / 341` on original inputs + - `336 / 341` on Sympy inputs +- by contrast, the archived published rows drift away from the current local + Haskell results on: + - `21` original rows + - `215` Sympy rows +- the live Haskell artifact currently includes `2` archived fallback rows + because those current local reruns still overflow the Haskell stack budget: + - `pagie SRjl#18` + - `kotanchek Bingo#21` +- the remaining live Egglog-vs-Haskell gaps are now small: + - largest original-input gap: `2` parameters + - largest Sympy-input gap: `1` parameter +- scheduler-ablation result: + - `no-haskell-backoff` is a hard fail + - it times out on `pagie Operon#15` original where the retained baseline + still saturates in about `11.7s` + - `no-bound-scheduler` keeps the same medians and nearly the same exact-match + counts, but it loses full saturation on: + - `pagie EPLEX#25` + - `pagie SRjl#1` + - `no-fresh-rematch` also keeps the same medians and exact-match counts, but + it loses full saturation on: + - `pagie SRjl#20` + - `kotanchek Operon#21` + - `no-graph-size-stop` matched the targeted row-level probes we used for the + ablation screen, but it made `pagie Operon#15` much slower + (`~57.3s` vs `~11.7s` baseline) and was not promoted as a simpler retained + stack + +So the main remaining frontier has changed: + +- it is no longer the old timeout tail, the old `pagie_operon_15` + schedule-boundary miss, or the broad Sympy mismatch that showed up only when + comparing against the archived published rows +- it is now: + - which of the remaining small row-level gaps are true live Haskell + mismatches + - which rows only differ because the published archived results drift from + the current local Haskell implementation + - and whether the two Haskell-overflow fallback rows can be replaced with + true live results later +- the retained scheduler stack still looks necessary as a whole if we want to + keep the current notebook-level conclusions without reintroducing timeouts + or losing all-row saturation + +The detailed evidence for that lives in [replication_status.md](replication_status.md). ## Scope diff --git a/python/egglog/exp/param_eq/__new_plan.md b/python/egglog/exp/param_eq/__new_plan.md new file mode 100644 index 00000000..227b5657 --- /dev/null +++ b/python/egglog/exp/param_eq/__new_plan.md @@ -0,0 +1,58 @@ +pre: + +use a local folder path for experimental and egglog +so we can modify them easier. + +use `uv sync --reinstall-package egglog --all-extras` to update based on egglog experimental + +rename egg_like to fresh_rematch or something + +try removing haskell backoff and compensating by decreasing backoff size? + +use sum of all_function_sizes instead of serialized sum of counts for performance? + +perm scheduler add to egglog experimental, return new ExperminetalEgraph struct so we can store extra data like perminent schedulers. Make all of them perm by default. +expose in Python by default, by adding a top level scope somehow, +like `.global()` or something...? that way we dont need a custom scheduler in egglog +python. + +Remove `stop-when-no-updates` in experimental that we added... since dont use it anymore + + +replace `is_const(a, ca)` with `is_const(a)` where `ca` + is generated as a new var like `_ca` inside the function since it isn't referenced elsewhere. + +once all that is done if things still work, we are ready to package the repo up +to a stable place. So remove all extra code for checking different versions, review +the code as a whole and make any simplifications/remove dead code. We are done trying to fix the schedules and rules to match baseline, we now want a clean part to build off of for multisets, with the replication notebook just showing that we hit +the baseline basically. + +--- + +Overall goal: See how replacing binary ops with containers +can get us closer to saturation or at least decrease the number +of nodes and reduce need for backoff which is not complete. + + + +We want to remove +, -, /, *, and replace with `polynomial(Map[Map[Expr, i64], i64])`. Input into the e-graph with that and after extract out in that form. + + +First, we want to make a plan by going through and leaving a comment next to each rewrite to see how it would change under the new plan. We can imagine we have any functional operations over +maps that we want at this time, and then once we settle on our design, we can go and actually add those. + +Many rewrites will be simply deleted, like `a*b -> b*a`, and many others can be collapsed into one, like + +``` + yield rewrite((x / a) + (y / b)).to( + (x + (y / (b * a))) / a, + *is_const(a, ca), + *is_const(b, cb), + *is_not_const(x), + *is_not_const(y), + ) +``` + +is just a directed rewrite so that if we have a constant term in one of the monomials, we try factoring it out. + +Stop after adding comments before each rule so I can manually inspect and see what makes sense before trying to implement it. diff --git a/python/egglog/exp/param_eq/artifacts/ablation_summary.csv b/python/egglog/exp/param_eq/artifacts/ablation_summary.csv new file mode 100644 index 00000000..5c5ee899 --- /dev/null +++ b/python/egglog/exp/param_eq/artifacts/ablation_summary.csv @@ -0,0 +1,6 @@ +mode,evaluation_scope,orig_exact,sympy_exact,orig_saturated,sympy_saturated,orig_max_gap,sympy_max_gap,orig_median_delta,sympy_median_delta,orig_pattern_ok,sympy_pattern_ok,accepted,note +Egglog baseline,full corpus,318/341,336/341,341/341,341/341,2,1,-1,-1,true,true,true,Retained baseline against current local Haskell. +No Haskell backoff,targeted fail,n/a,n/a,n/a,n/a,n/a,n/a,n/a,n/a,false,false,false,Timed out on `pagie Operon#15` original while the retained baseline saturated that row in about 11.7s. +No graph-size stop,targeted parity only,n/a,n/a,n/a,n/a,n/a,n/a,n/a,n/a,false,false,false,Matched the targeted `pagie Operon#15` and `pagie GOMEA#17/#18/#28` parameter counts but slowed `pagie Operon#15` from about 11.7s to about 57.3s; a full aggregate run was not kept once the other ablations had already shown the current stack was still needed for full saturation. +No bound scheduler,full corpus,315/341,336/341,339/341,341/341,2,1,-1,-1,true,true,false,Loses full original-input saturation by timing out on `pagie EPLEX#25` and `pagie SRjl#1`. +No fresh rematch,full corpus,317/341,336/341,339/341,341/341,2,1,-1,-1,true,true,false,Loses full original-input saturation by timing out on `pagie SRjl#20` and `kotanchek Operon#21`. diff --git a/python/egglog/exp/param_eq/artifacts/egglog_paper_rows.csv b/python/egglog/exp/param_eq/artifacts/egglog_paper_rows.csv index a8caef9a..3b5538a9 100644 --- a/python/egglog/exp/param_eq/artifacts/egglog_paper_rows.csv +++ b/python/egglog/exp/param_eq/artifacts/egglog_paper_rows.csv @@ -1,342 +1,342 @@ 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x1)))))),saturated,168.343250,14,3,14,3,134,143,46,1,33,(1.84491 - (1.211361 * exp((-0.2786152820155465 * ((x0 * x0) * (x1 * x1)))))) -pagie,100,GOMEA,GOMEA,11,1,kept,4.0,3.0,egglog-baseline,1.950391-0.000021*((exp(((13.012000-2.124000)-(x0*x0)))+exp(((-1.572000+12.461000)-(x1*x1))))),(1.950391) - ((2.1e-5) * ((exp((10.888) - ((x0) * (x0)))) + (exp((10.889) - ((x1) * (x1)))))),saturated,183.505500,21,6,17,4,36,42,26,2,41,(2.1e-05 * ((92875.76190476191 - exp((10.889 - (x1 * x1)))) - exp((10.888 - (x0 * x0))))),saturated,185.612583,17,4,17,4,36,42,26,2,41,(2.1e-05 * ((92875.76190476191 - exp((10.889 - (x1 * x1)))) - exp((10.888 - (x0 * x0))))) -pagie,101,GOMEA,GOMEA,12,1,kept,4.0,3.0,egglog-baseline,1.884443-1.188614*(exp((((-3.546000+x1)-(x1-3.362000))*((x0*x0)*(x1*x1))))),(1.884443) - ((1.188614) * (exp((((x1) + (-0.18399999999999972)) - (x1)) * (((x0) * (x0)) * ((x1) * (x1)))))),saturated,194.811209,20,4,18,3,139,148,48,2,39,(1.884443 - (1.188614 * exp((((-0.18399999999999972 + x1) - x1) * ((x0 * x0) * (x1 * x1)))))),saturated,168.372583,18,3,18,3,139,148,48,1,39,(1.884443 - (1.188614 * exp((((x1 + -0.18399999999999972) - x1) * ((x0 * x0) * (x1 * x1)))))) -pagie,102,GOMEA,GOMEA,13,1,kept,3.0,3.0,egglog-baseline,1.926897-1.163077*(exp((x0*((-0.122000*x1)*(x0*x1))))),(1.926897) - ((1.163077) * (exp((x0) * ((x1) * (((x0) * (x1)) * (-0.122)))))),saturated,169.815417,14,3,14,3,134,143,46,1,33,(1.926897 - (1.163077 * exp((x0 * ((-0.122 * x1) * (x0 * x1)))))),saturated,167.602333,14,3,14,3,134,143,46,1,33,(1.926897 - (1.163077 * exp((x0 * (x1 * ((x0 * x1) * -0.122)))))) -pagie,103,GOMEA,GOMEA,14,1,kept,4.0,4.0,egglog-baseline,1.993304-1.068007*((exp(((17.091000-17.877000)*(x1*x1)))+exp(((-0.722000*x0)*x0)))),(1.993304) - ((1.068007) * ((exp((-0.7859999999999978) * ((x1) * (x1)))) + (exp((x0) * ((x0) * (-0.722)))))),saturated,185.030250,19,5,17,4,48,54,28,2,41,(1.068007 * ((1.8663772802987246 - exp(((-0.722 * x0) * x0))) - exp((-0.7859999999999978 * (x1 * x1))))),saturated,184.857709,17,4,17,4,48,54,28,2,41,(1.068007 * ((1.8663772802987246 - exp((x0 * (x0 * -0.722)))) - exp((-0.7859999999999978 * (x1 * x1))))) -pagie,104,GOMEA,GOMEA,15,1,kept,3.0,3.0,egglog-baseline,1.950390-1.109582*((exp((exp(-7.605000)-(x0*x0)))+exp(((x1-x1)-(x1*x1))))),(1.95039) - ((1.109582) * ((exp((4.979554215032735e-4) - ((x0) * (x0)))) + (exp((x1) - ((x1) + ((x1) * (x1))))))),saturated,187.786333,20,3,19,3,48,55,30,2,40,(1.109582 * ((1.75777004313336 - exp(((x1 - x1) - (x1 * x1)))) - exp((0.0004979554215032735 - (x0 * x0))))),saturated,188.120542,19,3,19,3,55,62,32,2,40,(1.109582 * ((1.75777004313336 - exp(((x1 - x1) - (x1 * x1)))) - exp((0.0004979554215032735 - (x0 * x0))))) -pagie,105,GOMEA,GOMEA,16,1,kept,3.0,3.0,egglog-baseline,1.950383-1.106588*((exp((exp(-5.103000)-(x0*x0)))+exp(((x0-x0)-(x1*x1))))),(1.950383) - ((1.106588) * ((exp((6.0784837337638405e-3) - ((x0) * (x0)))) + (exp((x0) - ((x0) + ((x1) * (x1))))))),saturated,186.553167,20,3,19,3,48,55,30,2,40,(1.106588 * ((1.762519564643752 - exp(((x0 - x0) - (x1 * x1)))) - exp((0.0060784837337638405 - (x0 * x0))))),saturated,188.743625,19,3,19,3,55,62,32,2,40,(1.106588 * ((1.762519564643752 - exp(((x0 - x0) - (x1 * x1)))) - exp((0.0060784837337638405 - (x0 * x0))))) -pagie,106,GOMEA,GOMEA,17,1,kept,2.0,2.0,egglog-baseline,1.950390-1.109849*((exp(((x1-x1)-(x0*x0)))+exp(((x0-x0)-(x1*x1))))),(1.95039) - ((1.109849) * ((exp((x1) - ((x1) + ((x0) * (x0))))) + (exp((x1) - ((x1) + ((x1) * (x1))))))),saturated,184.768500,21,2,21,2,52,58,28,2,39,(1.109849 * ((1.7573471706511425 - exp(((x1 - x1) - (x1 * x1)))) - exp(((x1 - x1) - (x0 * x0))))),saturated,187.853250,21,2,21,2,66,72,32,2,39,(1.109849 * ((1.7573471706511425 - exp(((x1 - x1) - (x1 * x1)))) - exp(((x1 - x1) - (x0 * x0))))) -pagie,107,GOMEA,GOMEA,18,1,kept,2.0,2.0,egglog-baseline,1.950390-1.109849*((exp(((x1-x1)-(x0*x0)))+exp(((x0-x0)-(x1*x1))))),(1.95039) - ((1.109849) * ((exp((x1) - ((x1) + ((x0) * (x0))))) + (exp((x1) - ((x1) + ((x1) * (x1))))))),saturated,184.675083,21,2,21,2,52,58,28,2,39,(1.109849 * ((1.7573471706511425 - exp(((x1 - x1) - (x1 * x1)))) - exp(((x1 - x1) - (x0 * x0))))),saturated,188.038500,21,2,21,2,66,72,32,2,39,(1.109849 * ((1.7573471706511425 - exp(((x1 - x1) - (x1 * x1)))) - exp(((x1 - x1) - (x0 * x0))))) -pagie,108,GOMEA,GOMEA,19,1,kept,4.0,4.0,egglog-baseline,1.942097-1.116958*((exp((exp(-18.411000)-(x1*x1)))+exp(((-0.561000*x0)*(x0+x0))))),(1.942097) - ((1.116958) * ((exp((1.009727753928824e-8) - ((x1) * (x1)))) + (exp((x0) * (((x0) + (x0)) * (-0.561)))))),saturated,185.222792,20,4,19,4,50,56,29,2,44,(1.116958 * ((1.7387377143992881 - exp(((-0.561 * x0) * (x0 + x0)))) - exp((1.009727753928824e-08 - (x1 * x1))))),saturated,185.958250,19,4,19,4,50,56,29,2,44,(1.116958 * ((1.7387377143992881 - exp((x0 * ((x0 + x0) * -0.561)))) - exp((1.009727753928824e-08 - (x1 * x1))))) -pagie,109,GOMEA,GOMEA,20,1,kept,4.0,3.0,egglog-baseline,1.949837-0.000010*((exp(((9.658000+1.885000)-(x1*x1)))+exp(((10.589000+1.026000)-(x0*x0))))),(1.949837) - ((1.0e-5) * ((exp((11.543) - ((x1) * (x1)))) + (exp((11.615) - ((x0) * (x0)))))),saturated,247.107500,21,6,17,4,36,42,26,2,41,(1e-05 * ((194983.69999999998 - exp((11.615 - (x0 * x0)))) - exp((11.543 - (x1 * x1))))),saturated,223.193292,17,4,17,4,36,42,26,2,41,(1e-05 * ((194983.69999999998 - exp((11.615 - (x0 * x0)))) - exp((11.543 - (x1 * x1))))) -pagie,110,GOMEA,GOMEA,21,1,kept,4.0,3.0,egglog-baseline,1.950389-1.108799*((exp((exp(-6.234000)-(x0*x0)))+exp((exp(-24.872000)-(x1*x1))))),(1.950389) - ((1.108799) * ((exp((1.9615898236818204e-3) - ((x0) * (x0)))) + (exp((1.5784384301013077e-11) - ((x1) * (x1)))))),saturated,191.413083,19,4,17,4,36,42,26,2,41,(1.108799 * ((1.7590104247929514 - exp((1.5784384301013077e-11 - (x1 * x1)))) - exp((0.0019615898236818204 - (x0 * x0))))),saturated,184.395000,17,4,17,4,36,42,26,2,41,(1.108799 * ((1.7590104247929514 - exp((1.5784384301013077e-11 - (x1 * x1)))) - exp((0.0019615898236818204 - (x0 * x0))))) -pagie,111,GOMEA,GOMEA,22,1,kept,4.0,3.0,egglog-baseline,1.938930-5.446100*((exp(((-0.454000-1.011000)-(x1*x1)))+exp(((-1.344000-0.479000)-(x0*x0))))),(1.93893) - ((5.4461) * ((exp((-1.4649999999999999) - ((x1) * (x1)))) + (exp((-1.823) - ((x0) * (x0)))))),saturated,189.457958,21,6,17,4,36,42,26,2,41,(5.4461 * ((0.3560217403279411 - exp((-1.823 - (x0 * x0)))) - exp((-1.4649999999999999 - (x1 * x1))))),saturated,188.943125,17,4,17,4,36,42,26,2,41,(5.4461 * ((0.3560217403279411 - exp((-1.823 - (x0 * x0)))) - exp((-1.4649999999999999 - (x1 * x1))))) -pagie,112,GOMEA,GOMEA,23,1,kept,3.0,3.0,egglog-baseline,1.967245-1.093740*((exp(((-3.351000+2.551000)*(x0*x0)))+exp(((x1-x1)-(x1*x1))))),(1.967245) - ((1.09374) * ((exp((-0.7999999999999998) * ((x0) * (x0)))) + (exp((x1) - ((x1) + ((x1) * (x1))))))),saturated,188.374875,21,4,19,3,54,61,31,2,40,(1.09374 * ((1.7986404447126374 - exp(((x1 - x1) - (x1 * x1)))) - exp((-0.7999999999999998 * (x0 * x0))))),saturated,189.905625,19,3,19,3,61,68,33,2,40,(1.09374 * ((1.7986404447126374 - exp(((x1 - x1) - (x1 * x1)))) - exp((-0.7999999999999998 * (x0 * x0))))) -pagie,113,GOMEA,GOMEA,24,1,kept,4.0,3.0,egglog-baseline,1.961773-1.139885*(exp(((-4.331000*(x1*x0))*((x1*x0)*exp(-3.893000))))),(1.961773) - ((1.139885) * (exp((x1) * ((-8.82835453806378e-2) * ((x0) * ((x1) * (x0))))))),saturated,208.207166,17,4,14,3,109,114,31,2,33,(-1.139885 * (exp((-0.0882835453806378 * ((x1 * x0) * (x1 * x0)))) + -1.7210271211569588)),saturated,169.705208,14,3,14,3,134,143,46,1,33,(1.961773 - (1.139885 * exp((x1 * (-0.0882835453806378 * (x0 * (x1 * x0))))))) -pagie,114,GOMEA,GOMEA,25,1,kept,3.0,3.0,egglog-baseline,2.015663-2.611492*((exp((x1-exp(x1)))+exp(((1.434000-2.275000)-(x0*x0))))),(2.015663) - ((2.611492) * ((exp((x1) - (exp(x1)))) + (exp((-0.841) - ((x0) * (x0)))))),saturated,184.030333,18,4,16,3,33,38,23,2,35,(2.611492 * ((0.7718434519424144 - exp((-0.841 - (x0 * x0)))) - exp((x1 - exp(x1))))),saturated,183.805791,16,3,16,3,33,38,23,2,35,(2.611492 * ((0.7718434519424144 - exp((-0.841 - (x0 * x0)))) - exp((x1 - exp(x1))))) -pagie,115,GOMEA,GOMEA,26,1,kept,4.0,2.0,egglog-baseline,1.950387-0.000000*((exp((19.402000-(x1*x1)))+exp(((18.128000+1.277000)-(x0*x0))))),1.950387,saturated,186.849375,19,5,1,1,3,4,3,2,6,1.950387,saturated,159.382250,1,1,1,1,3,4,3,1,6,1.950387 -pagie,116,GOMEA,GOMEA,27,1,kept,4.0,2.0,egglog-baseline,2.013362-0.000000*((exp(((x0+22.086000)-exp(x0)))+exp(((6.546000+14.636000)-(x1*x1))))),2.013362,saturated,187.273083,20,5,1,1,3,4,3,2,6,2.013362,saturated,162.431000,1,1,1,1,3,4,3,1,6,2.013362 -pagie,117,GOMEA,GOMEA,28,1,kept,2.0,2.0,egglog-baseline,1.950390-1.109849*((exp(((x0-x0)-(x1*x1)))+exp(((x0-x0)-(x0*x0))))),(1.95039) - ((1.109849) * ((exp((x0) - ((x0) + ((x1) * (x1))))) + (exp((x0) - ((x0) + ((x0) * (x0))))))),saturated,185.603708,21,2,21,2,52,58,28,2,39,(1.109849 * ((1.7573471706511425 - exp(((x0 - x0) - (x0 * x0)))) - exp(((x0 - x0) - (x1 * x1))))),saturated,188.208209,21,2,21,2,66,72,32,2,39,(1.109849 * ((1.7573471706511425 - exp(((x0 - x0) - (x0 * x0)))) - exp(((x0 - x0) - (x1 * x1))))) -pagie,118,GOMEA,GOMEA,29,1,kept,4.0,3.0,egglog-baseline,2.072676-0.000520*((exp(((x1+8.426000)-exp(x1)))+exp(((8.611000+x0)-exp(x0))))),(2.072676) - ((5.2e-4) * ((exp(((x1) + (8.426)) - (exp(x1)))) + (exp(((8.611) + (x0)) - (exp(x0)))))),saturated,184.388125,19,4,19,4,42,48,28,2,43,(0.00052 * ((3985.915384615385 - exp(((8.611 + x0) - exp(x0)))) - exp(((x1 + 8.426) - exp(x1))))),saturated,183.874958,19,4,19,4,42,48,28,2,43,(0.00052 * ((3985.915384615385 - exp(((8.611 + x0) - exp(x0)))) - exp(((x1 + 8.426) - exp(x1))))) -pagie,119,GOMEA,GOMEA,30,1,kept,4.0,4.0,egglog-baseline,1.983784-1.077004*((exp(((x1*x1)*(-17.973000+17.206000)))+exp(((-1.143000+0.306000)*(x0*x0))))),(1.983784) - ((1.077004) * ((exp(((x1) * (x1)) * (-0.7669999999999995))) + (exp((-0.837) * ((x0) * (x0)))))),saturated,187.339709,21,6,17,4,48,54,28,2,41,(1.077004 * ((1.8419467337168662 - exp((-0.837 * (x0 * x0)))) - exp(((x1 * x1) * -0.7669999999999995)))),saturated,185.120750,17,4,17,4,48,54,28,2,41,(1.077004 * ((1.8419467337168662 - exp((-0.837 * (x0 * x0)))) - exp(((x1 * x1) * -0.7669999999999995)))) -pagie,120,Operon,Operon,1,1,kept,12.0,7.0,egglog-baseline,(0.0000018283429881 + (1.0000038146972656 * (((exp((((0.0879114493727684 * x0) * ((-110.2642364501953125) * x0)) + (-1.4756100177764893))) + 1.6358861923217773) / exp(exp((((-1.3751174211502075) * x1) * (0.7306602597236633 * x1))))) - (exp((((0.0290526524186134 * x0) * ((-29.7418365478515625) * x0)) + 0.1625563055276871)) + (-0.3440066277980804))))),(1.0000038146972656) * (((((exp(((-9.69348884031831) * ((x0) * (x0))) + (-1.4756100177764893))) + (1.6358861923217773)) / (exp(exp((-1.0047436520881448) * ((x1) * (x1)))))) - (exp((((x0) * (x0)) * (-0.8640792395159441)) + (0.1625563055276871)))) + (0.3440084561340939)),saturated,196.154333,39,12,31,8,100,112,56,2,77,(1.0000038146972656 * (0.3440084561340939 + (((exp(((-9.69348884031831 * (x0 * x0)) + -1.4756100177764893)) + 1.6358861923217773) / exp(exp((-1.0047436520881448 * (x1 * x1))))) - exp(((-0.8640792395159441 * (x0 * x0)) + 0.1625563055276871))))),saturated,166.283709,31,8,31,8,100,112,56,1,77,(1.0000038146972656 * ((((exp(((-9.69348884031831 * (x0 * x0)) + -1.4756100177764893)) + 1.6358861923217773) / exp(exp((-1.0047436520881448 * (x1 * x1))))) - exp((((x0 * x0) * -0.8640792395159441) + 0.1625563055276871))) + 0.3440084561340939)) -pagie,121,Operon,Operon,2,1,kept,13.0,6.0,egglog-baseline,((-0.0615618973970413) + (1.0497297048568726 * (((((3.4508244991302490 * x0) * (exp(((2.5524139404296875 * x0) * ((-1.6356614828109741) * x0))) * (((2.4663076400756836 * x0) * ((-0.0845688283443451) * x0)) * (3.5071039199829102 * x0)))) - exp(((3.0741317272186279 * x0) * ((-0.2599562704563141) * x0)))) - exp(((0.0030150315724313 * x1) * ((-247.1376800537109375) * x1)))) + 1.9547927379608154))),(1.0497297048568726) * (((((exp((-4.174885170550624) * ((x0) * (x0)))) * (((x0) * ((x0) * (x0))) * ((x0) * (-2.5242308455470654)))) - (exp(((x0) * (x0)) * (-0.7991398186991816)))) - (exp((-0.7451279080993636) * ((x1) * (x1))))) + (1.8961472627378055)),saturated,4024.922458,48,13,34,6,177,185,53,2,74,(1.0497297048568726 * (1.8961472627378055 + ((((-2.524230845547065 * (x0 * ((x0 * x0) * x0))) * exp((-4.174885170550624 * (x0 * x0)))) - exp((-0.7991398186991816 * (x0 * x0)))) - exp((-0.7451279080993636 * (x1 * x1)))))),saturated,179.855958,34,6,34,6,177,185,53,1,74,(1.0497297048568726 * ((((exp((-4.174885170550624 * (x0 * x0))) * ((x0 * (x0 * x0)) * (x0 * -2.5242308455470654))) - exp(((x0 * x0) * -0.7991398186991816))) - exp((-0.7451279080993636 * (x1 * x1)))) + 1.8961472627378055)) -pagie,122,Operon,Operon,3,1,kept,13.0,7.0,egglog-baseline,(0.0000011243114386 + (0.9999998211860657 * (((((-1.5812002420425415) + exp((((-0.1428712755441666) * x1) * (6.4702811241149902 * x1)))) + exp(((0.0134312557056546 * x0) * ((-68.7404861450195312) * x0)))) * (-1.2517620325088501)) - ((exp((((-0.0396961532533169) * x1) * (152.2495422363281250 * x1))) + exp(((1.0955569744110107 * x0) * ((-5.6038808822631836) * x0)))) * (-0.2742688059806824))))),(1.2517618086763562) * ((1.5812011402257509) - ((exp((-0.9244173173316528) * ((x1) * (x1)))) + ((exp((-0.9232710467447646) * ((x0) * (x0)))) + (((exp(((x1) * (x1)) * (-6.043721161360626))) + (exp(((x0) * (x0)) * (-6.139370784331959)))) * (-0.21910618700503146))))),saturated,248.209833,45,13,33,7,158,168,60,2,76,(-1.2517618086763562 * ((-1.5812011402257509 + (exp((-0.9232710467447646 * (x0 * x0))) + exp((-0.9244173173316528 * (x1 * x1))))) + (-0.21910618700503146 * (exp((-6.043721161360626 * (x1 * x1))) + exp((-6.139370784331959 * (x0 * x0))))))),saturated,211.300542,33,7,33,7,96,107,53,2,76,(1.2517618086763562 * (((1.5812011402257509 - exp((-0.9232710467447646 * (x0 * x0)))) - exp((-0.9244173173316528 * (x1 * x1)))) - ((exp(((x1 * x1) * -6.043721161360626)) + exp(((x0 * x0) * -6.139370784331959))) * -0.21910618700503146))) -pagie,123,Operon,Operon,4,1,kept,13.0,8.0,egglog-baseline,(0.0130726965144277 + (0.9919041991233826 * (exp(((((58.9215812683105469 * x0) * exp((((-5.0386314392089844) * x1) * (2.4705743789672852 * x1)))) + (log(((0.4419521391391754 * x0) * (0.1393797099590302 * x0))) / (0.0113436263054609 * x0))) / (381.6167297363281250 * x0))) - (exp(((((-0.8848519921302795) * x1) * (0.9313139915466309 * x1)) + 0.1248256787657738)) + (-0.9970148205757141))))),(0.9919041991233826) * (((exp((((x0) * (exp((-12.448313738768775) * ((x1) * (x1))))) + ((log((6.1599160968991234e-2) * ((x0) * (x0)))) * ((1.4961450344221223) / (x0)))) * ((0.154399890458213) / (x0)))) - (exp((((x1) * (x1)) * (-0.8240750407188386)) + (0.1248256787657738)))) + (1.0101942148417944)),saturated,274.933333,47,13,37,8,123,135,63,2,86,(0.9919041991233826 * (1.0101942148417944 + (exp(((0.154399890458213 / x0) * ((exp((-12.448313738768775 * (x1 * x1))) * x0) + ((-2.7871070291686837 + log((x0 * x0))) * (1.4961450344221223 / x0))))) - exp((-0.8240750407188386 * ((x1 * x1) + -0.1514736796989855)))))),saturated,209.111333,37,8,37,8,123,135,63,1,86,(0.9919041991233826 * ((exp((((x0 * exp((-12.448313738768775 * (x1 * x1)))) + (log((0.061599160968991234 * (x0 * x0))) * (1.4961450344221223 / x0))) * (0.154399890458213 / x0))) - exp((((x1 * x1) * -0.8240750407188386) + 0.1248256787657738))) + 1.0101942148417944)) -pagie,124,Operon,Operon,5,1,kept,13.0,7.0,egglog-baseline,((-0.0197761859744787) + (1.0117771625518799 * ((exp(((1.6896657943725586 * x1) * ((-1.6174912452697754) * x1))) * ((0.0575970448553562 * x1) * ((-14.7621564865112305) * x1))) - (exp(((0.4481753110885620 * x1) * ((-1.8585087060928345) * x1))) - (1.9719880819320679 - exp((((0.2870940864086151 * x0) * ((-1.9049599170684814) * x0)) / exp((((-0.2803071439266205) * x0) * (0.7164036631584167 * x0)))))))))),(1.0117771625518799) * ((((exp((-2.733019629829414) * ((x1) * (x1)))) * (((x1) * (x1)) * (-0.8502565893153748))) - ((exp(((x1) * (x1)) * (-0.832937717513957))) + (exp(((-0.5469027270358069) * ((x0) * (x0))) / (exp(((x0) * (x0)) * (-0.20081306471850446))))))) + (1.9524420922552503)),saturated,362.811791,49,13,37,7,148,157,58,2,82,(1.0117771625518799 * (1.9524420922552503 + ((exp((-2.733019629829414 * (x1 * x1))) * (-0.8502565893153748 * (x1 * x1))) - (exp(((-0.5469027270358069 * (x0 * x0)) / exp((-0.20081306471850446 * (x0 * x0))))) + exp((-0.832937717513957 * (x1 * x1))))))),saturated,203.581041,37,7,37,7,148,157,58,1,82,(1.0117771625518799 * (((exp((-2.733019629829414 * (x1 * x1))) * ((x1 * x1) * -0.8502565893153748)) - (exp(((x1 * x1) * -0.832937717513957)) + exp(((-0.5469027270358069 * (x0 * x0)) / exp(((x0 * x0) * -0.20081306471850446)))))) + 1.9524420922552503)) -pagie,125,Operon,Operon,6,1,kept,13.0,8.0,egglog-baseline,(0.0004403672355693 + (0.9997187852859497 * (exp((((-13.4114389419555664) * x0) * (0.2287123352289200 * x0))) - ((-3.1294746398925781) + (exp((exp((((-3.3788871765136719) * x0) * (0.2795567214488983 * x0))) - (-0.1448028236627579))) + ((1.0040752887725830 + ((1.8763431310653687 * x1) * (0.6411635279655457 * x1))) / exp(((1.1580088138580322 * x1) * (1.2662296295166016 * x1))))))))),(0.9997187852859497) * (((exp((-3.067361519194734) * ((x0) * (x0)))) - ((exp((exp(((x0) * (x0)) * (-0.9445906212118871))) + (0.1448028236627579))) + (((1.004075288772583) + ((1.20304278158779) * ((x1) * (x1)))) / (exp((x1) * ((x1) * (1.4663050713484154))))))) + (3.1299151310007285)),saturated,488.048500,45,13,35,8,140,153,68,2,83,(0.9997187852859497 * (3.1299151310007285 + (exp((-3.067361519194734 * (x0 * x0))) - (exp((exp((-0.9445906212118871 * (x0 * x0))) + 0.1448028236627579)) + (((x1 * x1) + 0.8346131194498276) * (1.20304278158779 / exp((1.4663050713484154 * (x1 * x1))))))))),saturated,176.407500,35,8,35,8,153,167,73,1,83,(0.9997187852859497 * ((exp((-3.067361519194734 * (x0 * x0))) - (exp((exp(((x0 * x0) * -0.9445906212118871)) + 0.1448028236627579)) + ((1.004075288772583 + (1.20304278158779 * (x1 * x1))) / exp((x1 * (x1 * 1.4663050713484154)))))) + 3.1299151310007285)) -pagie,126,Operon,Operon,7,1,kept,12.0,7.0,egglog-baseline,(0.0028247879818082 + (0.9984024167060852 * (0.7176343202590942 - ((exp(((4.5870537757873535 * x1) * ((-0.0708576515316963) * x1))) / ((((-2.5320065021514893) * x1) * ((-0.5026428699493408) * x1)) + exp((((-1.5353101491928101) * x1) * (1.0705516338348389 * x1))))) + ((-3.4508912563323975) / exp(exp(exp(((1.6964559555053711 * x0) * ((-0.5267499089241028) * x0)))))))))),(2.8247879818082e-3) + ((0.9984024167060852) * ((0.7176343202590942) - (((exp((-0.3250278580018921) * ((x1) * (x1)))) / ((((x1) * (x1)) * (1.2726950149718164)) + (exp(((x1) * (x1)) * (-1.643628788661573))))) + ((-3.4508912563323975) / (exp(exp(exp((-0.893608020056206) * ((x0) * (x0)))))))))),saturated,195.200625,44,12,36,8,107,118,57,2,84,(0.0028247879818082 + (0.9984024167060852 * (0.7176343202590942 - ((exp((-0.3250278580018921 * (x1 * x1))) / ((1.2726950149718164 * (x1 * x1)) + exp((-1.643628788661573 * (x1 * x1))))) + (-3.4508912563323975 / exp(exp(exp((-0.893608020056206 * (x0 * x0)))))))))),saturated,167.901917,36,8,36,8,107,118,57,1,84,(0.0028247879818082 + (0.9984024167060852 * (0.7176343202590942 - ((exp((-0.3250278580018921 * (x1 * x1))) / (((x1 * x1) * 1.2726950149718164) + exp(((x1 * x1) * -1.643628788661573)))) + (-3.4508912563323975 / exp(exp(exp((-0.893608020056206 * (x0 * x0)))))))))) -pagie,127,Operon,Operon,8,1,kept,13.0,7.0,egglog-baseline,((-0.0218773111701012) + (1.0134590864181519 * ((((((-0.3641613721847534) * x0) * (2.2286646366119385 * x0)) * exp((((-2.4582626819610596) * x0) * (1.0862829685211182 * x0)))) + (1.9716572761535645 - exp(((((-2.4894037246704102) * x1) * (0.2193875461816788 * x1)) * exp((((-0.4357891678810120) * x1) * ((-0.4778871238231659) * x1))))))) - exp((((-1.3948150873184204) * x0) * (0.5922598838806152 * x0)))))),(-2.18773111701012e-2) + ((1.0134590864181519) * (((((-0.8115935722082384) * ((x0) * (x0))) * (exp(((x0) * (x0)) * (-2.670368883565345)))) + ((1.9716572761535645) - (exp(((-0.5461441746109729) * ((x1) * (x1))) * (exp(((x1) * (x1)) * (0.20825803203194762))))))) - (exp(((x0) * (x0)) * (-0.8260930216501379))))),saturated,217.516208,49,13,39,8,160,171,64,2,89,(-0.0218773111701012 + (1.0134590864181519 * ((((-0.8115935722082384 * (x0 * x0)) * exp((-2.670368883565345 * (x0 * x0)))) + (1.9716572761535645 - exp(((-0.5461441746109729 * (x1 * x1)) * exp((0.20825803203194762 * (x1 * x1))))))) - exp((-0.8260930216501379 * (x0 * x0)))))),saturated,169.367166,39,8,39,8,160,171,64,1,89,(-0.0218773111701012 + (1.0134590864181519 * ((((-0.8115935722082384 * (x0 * x0)) * exp(((x0 * x0) * -2.670368883565345))) + (1.9716572761535645 - exp(((-0.5461441746109729 * (x1 * x1)) * exp(((x1 * x1) * 0.20825803203194762)))))) - exp(((x0 * x0) * -0.8260930216501379))))) -pagie,128,Operon,Operon,9,1,kept,13.0,7.0,egglog-baseline,((-0.0000084446337496) + (1.0000045299530029 * ((((exp(((1.8677622079849243 * x1) * ((-3.2215218544006348) * x1))) + exp(((4.2088832855224609 * x0) * ((-1.4519027471542358) * x0)))) * 0.2748067975044250) - ((exp(((0.5492876768112183 * x1) * ((-1.6836870908737183) * x1))) + exp(((1.3932512998580933 * x0) * ((-0.6629599928855896) * x0)))) * 1.2524310350418091)) + 1.9792671203613281))),(0.2748080423663026) * ((((exp((-6.0170367718470175) * ((x1) * (x1)))) + (exp((-6.110889204701607) * ((x0) * (x0))))) - (((exp(((x1) * (x1)) * (-0.9248285706230632))) + (exp(((x0) * (x0)) * (-0.92366987184176)))) * (4.5574965627320125))) + (7.20236432919372)),saturated,265.892041,45,13,33,7,158,168,60,2,76,(0.2748080423663026 * ((-4.5574965627320125 * ((exp((-0.9248285706230632 * (x1 * x1))) + exp((-0.92366987184176 * (x0 * x0)))) + -1.5803334637900919)) + (exp((-6.0170367718470175 * (x1 * x1))) + exp((-6.110889204701607 * (x0 * x0)))))),saturated,194.002417,33,7,33,7,158,168,60,2,76,(0.2748080423663026 * (((exp((-6.0170367718470175 * (x1 * x1))) + exp((-6.110889204701607 * (x0 * x0)))) + (-4.5574965627320125 * (exp(((x1 * x1) * -0.9248285706230632)) + exp(((x0 * x0) * -0.92366987184176))))) + 7.20236432919372)) -pagie,129,Operon,Operon,10,1,kept,14.0,8.0,egglog-baseline,(0.0000002913372725 + (1.0000000000000000 * ((1.0092900991439819 / ((((-9.8911437988281250) * x0) * ((-0.0619828216731548) * x0)) - exp((((-5.2376017570495605) * x0) * ((-0.1814788132905960) * x0))))) + ((2.9227268695831299 / ((-1.9528466463088989) - exp((((-1044.4626464843750000) * x1) * ((-0.0013573808828369) * x1))))) + (((241.8676300048828125 * x1) * (0.0000091869978860 * x1)) - (-1.9428678750991821)))))),((1.009290099143982) / (((0.6130810022262947) * ((x0) * (x0))) - (exp(((x0) * (x0)) * (0.9505137513580948))))) + ((((2.92272686958313) / ((-1.952846646308899) - (exp((1.417733629175126) * ((x1) * (x1)))))) + (((x1) * (x1)) * (2.2220374055466887e-3))) + (1.9428681664364547)),saturated,606.782417,45,14,33,8,226,239,78,2,81,((1.9428681664364547 + (0.0022220374055466887 * (x1 * x1))) + ((1.009290099143982 / ((0.6130810022262947 * (x0 * x0)) - exp((0.9505137513580948 * (x0 * x0))))) + (2.92272686958313 / (-1.952846646308899 - exp((1.417733629175126 * (x1 * x1))))))),saturated,198.571209,33,8,33,8,226,239,78,1,81,((1.009290099143982 / ((0.6130810022262947 * (x0 * x0)) - exp(((x0 * x0) * 0.9505137513580948)))) + (((2.92272686958313 / (-1.952846646308899 - exp((1.417733629175126 * (x1 * x1))))) + ((x1 * x1) * 0.0022220374055466887)) + 1.9428681664364547)) -pagie,130,Operon,Operon,11,1,kept,13.0,8.0,egglog-baseline,((-0.0000135196241899) + (1.0000069141387939 * ((1.2255471944808960 * exp(((-1.7740323543548584) * exp(((2.9035081863403320 * x1) * ((-0.4098204970359802) * x1)))))) - ((1.2498761415481567 * exp(((0.1515025645494461 * x0) * ((-6.0828857421875000) * x0)))) + ((-0.7505750060081482) - (0.2749604582786560 * exp(((1.1432402133941650 * x0) * ((-5.4770793914794922) * x0))))))))),(1.2255556680842972) * (((exp((-1.7740323543548584) * (exp((-1.1899171680740324) * ((x1) * (x1)))))) - ((exp((-0.9215727898026671) * ((x0) * (x0)))) * (1.019851497499911))) + ((0.6124296884342743) + ((exp(((x0) * (x0)) * (-6.261617412291798))) * (0.22435729894116463)))),timeout,180000.000000,na,na,na,na,na,na,na,na,na,timeout,saturated,254.376375,31,8,31,8,232,248,90,2,77,(1.2255556680842972 * ((exp((-1.7740323543548584 * exp((-1.1899171680740324 * (x1 * x1))))) + (-1.019851497499911 * exp((-0.9215727898026671 * (x0 * x0))))) + (0.6124296884342743 + (exp(((x0 * x0) * -6.261617412291798)) * 0.22435729894116463)))) -pagie,131,Operon,Operon,12,1,kept,14.0,6.0,egglog-baseline,((-0.0001345924683847) + (1.0000907182693481 * (((0.0052004987373948 * x0) * ((-5.5132131576538086) * x0)) - (log((((-29.4069671630859375) * x1) * (((-0.0669591948390007) + (((7.1831178665161133 * x0) * ((-12.8945026397705078) * x0)) * (((-0.0048121302388608) * x0) * ((-3.7251195907592773) * x0)))) * (11.7470531463623047 * x1)))) * ((-0.1758960038423538) + ((5.9699630737304688 * x1) * (0.0000638487472315 * x1))))))),(-1.345924683847e-4) + ((((x0) * (x0)) - ((log(((((x0) * (x0)) * ((x0) * (x0))) + (4.032877607032475e-2)) * (((x1) * (x1)) * (573.5540504295212)))) * ((((x1) * (x1)) + (-461.4577535941546)) * (-1.3294568501084911e-2)))) * (-2.867405909042241e-2)),timeout,180000.000000,na,na,na,na,na,na,na,na,na,timeout,saturated,233.478625,32,6,32,6,129,139,54,2,72,(-0.02867405909042241 * (((x0 * x0) + (0.013294568501084911 * (log(((((x0 * x0) * (x0 * x0)) + 0.04032877607032475) * ((x1 * x1) * 573.5540504295212))) * ((x1 * x1) + -461.4577535941546)))) + 0.004693875672093318)) -pagie,132,Operon,Operon,13,1,kept,12.0,8.0,egglog-baseline,((-0.0000847672417876) + (1.0000656843185425 * ((exp((((-1.8279364109039307) * x1) * (2.2386462688446045 * x1))) - ((-1.5547065734863281) + ((-1.6497515439987183) / exp(exp(((0.0022635490167886 * x0) * ((-443.1721801757812500) * x0))))))) - exp(exp(((-1.6148645877838135) + exp((0.5693863630294800 + ((0.0016070556594059 * x1) * ((-348.2632751464843750) * x1)))))))))),(-8.47672417876e-5) + ((1.0000656843185425) * (((exp((-4.092103025955282) * ((x1) * (x1)))) - ((-1.5547065734863281) + ((-1.6497515439987183) / (exp(exp((-1.00314195270495) * ((x0) * (x0)))))))) - (exp(exp((-1.6148645877838135) + (exp((0.56938636302948) + (((x1) * (x1)) * (-0.5596784672873918))))))))),saturated,196.966792,41,12,35,9,125,140,70,2,86,(-8.47672417876e-05 + (1.0000656843185425 * ((exp((-4.092103025955282 * (x1 * x1))) - (-1.5547065734863281 + (-1.6497515439987183 / exp(exp((-1.00314195270495 * (x0 * x0))))))) - exp(exp((-1.6148645877838135 + exp((0.56938636302948 + (-0.5596784672873918 * (x1 * x1)))))))))),saturated,167.888542,35,9,35,9,125,140,70,1,86,(-8.47672417876e-05 + (1.0000656843185425 * ((exp((-4.092103025955282 * (x1 * x1))) - (-1.5547065734863281 + (-1.6497515439987183 / exp(exp((-1.00314195270495 * (x0 * x0))))))) - exp(exp((-1.6148645877838135 + exp((0.56938636302948 + ((x1 * x1) * -0.5596784672873918))))))))) -pagie,133,Operon,Operon,14,1,kept,13.0,8.0,egglog-baseline,(0.0049303476698697 + (0.9968529939651489 * ((((exp((((-0.1228989660739899) * x1) * (28.5782623291015625 * x1))) - (0.0001418351894245 * x0)) - exp((((-0.9014899730682373) * x1) * (0.9040312170982361 * x1)))) - exp((((-0.1503573954105377) * x1) * (16.6330261230468750 * x1)))) + (((-1.0727374553680420) * exp((((-0.1865450739860535) * x0) * (4.1227397918701172 * x0)))) - (-1.9877362251281738))))),(0.9968529939651489) * ((((((exp((-3.5122388924378365) * ((x1) * (x1)))) + ((x0) * (-1.418351894245e-4))) - (exp(((x1) * (x1)) * (-0.8149750775547346)))) - (exp(((x1) * (x1)) * (-2.5008984856567618)))) + 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x0)) + 34.0089225769042969))) + (((-1351.7908935546875000) / (((17.2840843200683594 * x1) * (47.4518127441406250 * x1)) + 990.7814331054687500)) + ((0.0012052881065756 * x1) * ((-8.2380609512329102) * x1)))))),(-9.788252341175882e-3) * (((x0) * (x0)) + ((((((x1) * (x1)) + ((165.99479114520634) / (((x1) * (x1)) + (1.2080326581103884)))) + ((162.89497489770397) / (((x0) * (x0)) + (1.186536134285651)))) * (1.0144051369822908)) + (-258.7196837451166))),timeout,180000.000000,na,na,na,na,na,na,na,na,na,timeout,saturated,228.906792,29,7,29,7,110,119,46,2,72,(-0.009788252341175882 * ((x0 * x0) + (1.0144051369822908 * ((((x1 * x1) + (165.99479114520634 / ((x1 * x1) + 1.2080326581103884))) + (162.89497489770397 / ((x0 * x0) + 1.186536134285651))) + -255.0457152797652)))) -pagie,135,Operon,Operon,16,1,kept,13.0,8.0,egglog-baseline,(0.0071523520164192 + (0.9955711960792542 * (((exp(((0.0195227134972811 * x1) * ((-151.1385955810546875) * x1))) * ((396057.1250000000000000 * x1) * 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0.8461600858783999)))) - exp(exp(((-0.9223802266131381 * (x1 * x1)) + 0.0902468413114548)))))),saturated,180.377375,37,9,37,9,138,152,69,2,90,(0.0005329695995897 + (0.9996598958969116 * (((2.9738872051239014 + exp((-3.09654807561373 * (x1 * x1)))) + (-1.1882727410061449 * (exp((x0 * (x0 * -1.4556189044729706))) * ((x0 * x0) + 0.8461600858783999)))) - exp(exp((((x1 * x1) * -0.9223802266131381) + 0.0902468413114548)))))) -pagie,137,Operon,Operon,18,1,kept,14.0,7.0,egglog-baseline,(0.0000816054744064 + (1.0001157522201538 * (((((-0.0021946807391942) * x0) * (13.7494821548461914 * x0)) + (-8.4071483612060547)) + ((log((((6955.1982421875000000 * x1) * (16.8089103698730469 * x1)) + 27880.0878906250000000)) + log((((85251.5703125000000000 * x0) * (3.5084772109985352 * x0)) + 63949.3125000000000000))) * (((1.2129596471786499 * x1) * ((-0.0008703975472599) * x1)) + 0.3835373818874359))))),((7963.069109938157) + ((((24.277697647852335) + ((log(((x1) * (x1)) + (0.23847621165016322))) + (log(((x0) * (x0)) + (0.213803510917648))))) * (((x1) * (x1)) + (-363.2818393765012))) + (((x0) * (x0)) * (28.582070257300213)))) * (-1.0558793080580105e-3),timeout,180000.000000,na,na,na,na,na,na,na,na,na,timeout,saturated,187.567500,31,7,31,7,97,107,49,1,74,((7963.069109938157 + (((24.277697647852335 + (log(((x1 * x1) + 0.23847621165016322)) + log(((x0 * x0) + 0.213803510917648)))) * ((x1 * x1) + -363.2818393765012)) + ((x0 * x0) * 28.582070257300213))) * -0.0010558793080580105) -pagie,138,Operon,Operon,19,1,kept,12.0,9.0,egglog-baseline,((-0.0000098704376796) + (1.0000013113021851 * ((exp(exp(((-0.1284630000591278) - exp((((-1.7482314109802246) * x0) * (0.6576864719390869 * x0)))))) - exp((0.2162327617406845 + (((-0.0238646697252989) * x1) * (38.5694580078125000 * x1))))) - exp((((-0.9399499893188477) - exp(((1.4266452789306641 * x1) * ((-5.3529791831970215) * x1)))) * 0.8908159136772156))))),(-9.8704376796e-6) + ((1.000001311302185) * (((exp(exp((-0.1284630000591278) - (exp((-1.1497881488206758) * ((x0) * (x0))))))) - (exp((0.2162327617406845) + ((-0.9204473768402301) * ((x1) * (x1)))))) - (exp(((-0.9399499893188477) - (exp(((x1) * (x1)) * (-7.636802479922153)))) * (0.8908159136772156))))),saturated,185.163791,41,12,35,9,108,121,62,2,86,(-9.8704376796e-06 + (1.000001311302185 * ((exp(exp((-0.1284630000591278 - exp((-1.1497881488206758 * (x0 * x0)))))) - exp((0.2162327617406845 + (-0.9204473768402301 * (x1 * x1))))) - exp(((-0.9399499893188477 - exp((-7.636802479922153 * (x1 * x1)))) * 0.8908159136772156))))),saturated,152.978334,35,9,35,9,108,121,62,1,86,(-9.8704376796e-06 + (1.000001311302185 * ((exp(exp((-0.1284630000591278 - exp((-1.1497881488206758 * (x0 * x0)))))) - exp((0.2162327617406845 + (-0.9204473768402301 * (x1 * x1))))) - exp(((-0.9399499893188477 - exp(((x1 * x1) * -7.636802479922153))) * 0.8908159136772156))))) -pagie,139,Operon,Operon,20,1,kept,14.0,8.0,egglog-baseline,((-0.0000002506655221) + (1.0000001192092896 * (((((-0.0002352308656555) * x0) + 1.9712915420532227) - (exp((((-0.0005102988216095) * x1) * (2861.8625488281250000 * x1))) * (1.0045522451400757 + ((0.0003667365817819 * x1) * (3236.1384277343750000 * x1))))) + (exp((((-0.0249317195266485) * x0) * (58.4497108459472656 * x0))) * ((-1.0050251483917236) + (((-0.0338098518550396) * x0) * (35.2732009887695312 * x0))))))),(1.0000001192092896) * (((-2.3523086565550004e-4) * (x0)) + (((exp((-1.4604050862753524) * ((x1) * (x1)))) * ((((x1) * (x1)) + (0.8464303072824536)) * (-1.186810345160357))) + (((exp((-1.4572517972248622) * ((x0) * (x0)))) * ((-1.0050251483917236) + (((x0) * (x0)) * (-1.192581699883334)))) + (1.9712912913877296)))),timeout,180000.000000,na,na,na,na,na,na,na,na,na,timeout,saturated,248.462000,37,9,35,8,101,112,53,2,84,(-1.1925818420501513 * ((exp((-1.4572517972248622 * (x0 * x0))) * ((x0 * x0) + 0.842730647711634)) + (0.9951606210932622 * (((exp((-1.4604050862753524 * (x1 * x1))) * ((x1 * x1) + 0.8464303072824536)) + 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(((-1.002324727539394) * ((x1) * (x1))) * (exp(((x1) * (x1)) * (-2.9640713443683393))))) - (exp(((x1) * (x1)) * (-0.8141271614763362)))) - (exp((7.124051495942774e-2) + ((-0.7690586677411797) * ((x0) * (x0))))))),saturated,225.314000,43,12,34,8,140,153,65,2,82,(0.0059260418638587 + (0.996351420879364 * (((1.9877398014068604 + ((-1.002324727539394 * (x1 * x1)) * exp((-2.9640713443683393 * (x1 * x1))))) - exp((-0.8141271614763362 * (x1 * x1)))) - exp((0.07124051495942774 + (-0.7690586677411797 * (x0 * x0))))))),saturated,157.258333,34,8,34,8,140,153,65,1,82,(0.0059260418638587 + (0.996351420879364 * (((1.9877398014068604 + ((-1.002324727539394 * (x1 * x1)) * exp(((x1 * x1) * -2.9640713443683393)))) - exp(((x1 * x1) * -0.8141271614763362))) - exp((0.07124051495942774 + (-0.7690586677411797 * (x0 * x0))))))) -pagie,142,Operon,Operon,23,1,kept,13.0,8.0,egglog-baseline,(0.0007810645620339 + (0.9995014071464539 * (((((-1.0057448148727417) + ((0.7655488848686218 * x0) * ((-1.5458080768585205) * x0))) * exp(((0.4586827158927917 * x0) * ((-3.1686115264892578) * x0)))) + (2.9749636650085449 + exp(((-0.3110347986221313) + ((3.0109248161315918 * x1) * ((-1.1550782918930054) * x1)))))) - exp(exp(((23.0867309570312500 * x1) * ((-0.0377156287431717) * x1))))))),(7.810645620339e-4) + ((0.9995014071464539) * (((((-1.0057448148727417) + ((-1.1833916494599492) * ((x0) * (x0)))) * (exp(((x0) * (x0)) * (-1.4533873405792972)))) + ((2.974963665008545) + (exp((-0.3110347986221313) + ((-3.4778538936355403) * ((x1) * (x1))))))) - (exp(exp(((x1) * (x1)) * (-0.8707305736688796)))))),saturated,214.490208,45,13,37,9,151,166,74,2,90,(0.0007810645620339 + (0.9995014071464539 * ((((-1.0057448148727417 + (-1.1833916494599492 * (x0 * x0))) * exp((-1.4533873405792972 * (x0 * x0)))) + (2.974963665008545 + exp((-0.3110347986221313 + (-3.4778538936355403 * (x1 * x1)))))) - exp(exp((-0.8707305736688796 * (x1 * x1))))))),saturated,162.351042,37,9,37,9,151,166,74,1,90,(0.0007810645620339 + (0.9995014071464539 * ((((-1.0057448148727417 + (-1.1833916494599492 * (x0 * x0))) * exp(((x0 * x0) * -1.4533873405792972))) + (2.974963665008545 + exp((-0.3110347986221313 + (-3.4778538936355403 * (x1 * x1)))))) - exp(exp(((x1 * x1) * -0.8707305736688796)))))) -pagie,143,Operon,Operon,24,1,kept,13.0,9.0,egglog-baseline,(0.0049892361275852 + (0.9968150258064270 * (exp(((-0.7375680804252625) / (exp((((-7.8003888130187988) * x1) * ((-0.0912654846906662) * x1))) - 0.9434194564819336))) - (exp(((((-11.2235412597656250) * x0) * (0.0819300860166550 * x0)) - (exp(((((-56.8530616760253906) * x0) * (0.1006406396627426 * x0)) - 1.4147840738296509)) - 0.2206120193004608))) - 0.9837305545806885)))),(0.996815025806427) * (((exp((-0.7375680804252625) / ((exp((0.7119062657958111) * ((x1) * (x1)))) + (-0.9434194564819336)))) - (exp(((-0.919545700824074) * ((x0) * (x0))) - ((exp((((x0) * (x0)) * (-5.721728493860552)) + (-1.4147840738296509))) + (-0.2206120193004608))))) + (0.9887357320694095)),saturated,196.242500,41,13,33,9,125,141,71,2,84,(0.996815025806427 * (0.9887357320694095 + (exp((-0.7375680804252625 / (exp((0.7119062657958111 * (x1 * x1))) + -0.9434194564819336))) - exp(((-0.919545700824074 * (x0 * x0)) - (exp(((-5.721728493860552 * (x0 * x0)) + -1.4147840738296509)) + -0.2206120193004608)))))),saturated,158.167416,33,9,33,9,125,141,71,1,84,(0.996815025806427 * ((exp((-0.7375680804252625 / (exp((0.7119062657958111 * (x1 * x1))) + -0.9434194564819336))) - exp(((-0.919545700824074 * (x0 * x0)) - (exp((((x0 * x0) * -5.721728493860552) + -1.4147840738296509)) + -0.2206120193004608)))) + 0.9887357320694095)) -pagie,144,Operon,Operon,25,1,kept,13.0,7.0,egglog-baseline,((-0.0000055456266637) + (1.0000027418136597 * ((((exp((((-4.2250251770019531) * x1) * (1.4258037805557251 * x1))) + exp((((-1.1716369390487671) * x0) * (5.2204809188842773 * x0)))) * 0.2746707499027252) - (-1.9792732000350952)) - ((exp((((-1.7990413904190063) * x1) * (0.5140095949172974 * x1))) + exp(((1.8088867664337158 * x0) * ((-0.5105684995651245) * x0)))) * 1.2522673606872559)))),(1.252270794171011) * (((((exp((-6.024056870312506) * ((x1) * (x1)))) + (exp((-6.11650828416407) * ((x0) * (x0))))) * (0.21933874388611657)) - ((exp(((x1) * (x1)) * (-0.9247245363287249))) + (exp(((x0) * (x0)) * (-0.9235606022212721))))) + (1.580547187093814)),saturated,344.872917,45,13,33,7,158,168,60,2,76,(0.2746715029987392 * ((-4.559158050614224 * ((exp((-0.9247245363287249 * (x1 * x1))) + exp((-0.9235606022212721 * (x0 * x0)))) + -1.580547187093814)) + (exp((-6.024056870312506 * (x1 * x1))) + exp((-6.11650828416407 * (x0 * x0)))))),saturated,157.409167,33,7,33,7,93,102,48,1,76,(1.252270794171011 * ((((exp((-6.024056870312506 * (x1 * x1))) + exp((-6.11650828416407 * (x0 * x0)))) * 0.21933874388611657) - (exp(((x1 * x1) * -0.9247245363287249)) + exp(((x0 * x0) * -0.9235606022212721)))) + 1.580547187093814)) 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1.24077308177948))),saturated,192.683875,33,8,33,8,208,222,80,2,79,(1.0001020431518555 * ((exp((exp((-1.1727489207421724 * (x0 * x0))) * -1.723635196685791)) * 1.24077308177948) + ((exp((-4.085482216662968 * (x1 * x1))) + (-0.1594999134540558 * exp(exp(exp(((x1 * x1) * -0.5573892208735457)))))) + 1.173827200889657))) -pagie,146,Operon,Operon,27,1,kept,13.0,6.0,egglog-baseline,((-0.0639297738671303) + (1.0392827987670898 * ((1.9780735969543457 + ((exp((((-2.4385366439819336) * x1) * (2.2576689720153809 * x1))) * ((((-10.0973072052001953) * x1) * (391.6708374023437500 * x1)) * (((-0.0011133030056953) * x1) * ((-1.3449389934539795) * x1)))) - exp((((-1.7093311548233032) * x1) * (0.4650919437408447 * x1))))) - exp((((-1.2320897579193115) * x0) * (0.5889392495155334 * x0)))))),(-6.39297738671303e-2) + ((1.0392827987670898) * (((1.9780735969543457) + (((exp((-5.505408518240529) * ((x1) * (x1)))) * ((-5.921650519847204) * (((x1) * (x1)) * ((x1) * (x1))))) - (exp(((x1) * (x1)) * (-0.7949961492935529))))) - (exp((-0.7256260173647746) * ((x0) * (x0)))))),saturated,8381.682167,48,13,36,7,191,201,61,2,81,(-0.0639297738671303 + (1.0392827987670898 * ((1.9780735969543457 + ((exp((-5.505408518240529 * (x1 * x1))) * (-5.921650519847204 * ((x1 * x1) * (x1 * x1)))) - exp((-0.7949961492935529 * (x1 * x1))))) - exp((-0.7256260173647746 * (x0 * x0)))))),saturated,165.170292,36,7,36,7,191,201,61,1,81,(-0.0639297738671303 + (1.0392827987670898 * ((1.9780735969543457 + ((exp((-5.505408518240529 * (x1 * x1))) * (-5.921650519847204 * ((x1 * x1) * (x1 * x1)))) - exp(((x1 * x1) * -0.7949961492935529)))) - exp((-0.7256260173647746 * (x0 * x0)))))) -pagie,147,Operon,Operon,28,1,kept,13.0,7.0,egglog-baseline,((-0.0000072608104347) + (1.0000052452087402 * (((-1.2524669170379639) * (exp((((-0.8438813686370850) * x0) * (1.0945762395858765 * x0))) + (exp((((-0.6344506740570068) * x1) * (1.4577195644378662 * x1))) + (-1.5802922248840332)))) + (0.2748360037803650 * (exp(((19.0184898376464844 * x0) * ((-0.3212499320507050) * x0))) + exp((((-0.8187244534492493) * x1) * (7.3472332954406738 * x1)))))))),(-1.252473486488384) * (((exp((-0.9248511602436906) * ((x1) * (x1)))) + ((exp((-0.9236924951393632) * ((x0) * (x0)))) + (((exp(((x0) * (x0)) * (-6.109688568050957))) + (exp(((x1) * (x1)) * (-6.015359564173792)))) * (-0.21943573921324933)))) + (-1.5802864277070767)),saturated,247.547000,45,13,33,7,158,168,60,2,76,(-1.252473486488384 * ((-1.5802864277070765 + exp((-0.9248511602436906 * (x1 * x1)))) + ((-0.2194357392132493 * (exp((-6.109688568050957 * (x0 * x0))) + exp((-6.015359564173792 * (x1 * x1))))) + exp((-0.9236924951393632 * (x0 * x0)))))),saturated,161.304292,33,7,33,7,158,168,60,1,76,(-1.252473486488384 * ((exp((-0.9248511602436906 * (x1 * x1))) + (exp((-0.9236924951393632 * (x0 * x0))) + ((exp(((x0 * x0) * -6.109688568050957)) + exp(((x1 * x1) * -6.015359564173792))) * -0.21943573921324933))) + -1.5802864277070767)) 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x0)))))),saturated,157.522416,33,7,33,7,158,168,60,1,76,(0.27481172308339913 * (((exp((-6.016643148103924 * (x1 * x1))) + exp((-6.1121651226575295 * (x0 * x0)))) + ((exp(((x1 * x1) * -0.9248323557058029)) + exp(((x0 * x0) * -0.9236773700316121))) * -4.557432371247945)) + 7.202264707597524)) -pagie,149,Operon,Operon,30,1,kept,13.0,7.0,egglog-baseline,((-0.0166908428072929) + (1.0103557109832764 * ((-1.0929064750671387) * ((((-1.8171284198760986) + exp(((0.4634887576103210 * x0) * ((-1.7064006328582764) * x0)))) + ((exp((((-0.0545985996723175) * x1) * (290.8274841308593750 * x1))) + exp((((-6.8895225524902344) * x0) * (4.0632553100585938 * x0)))) * (-0.0849393755197525))) + exp((((-0.0165483560413122) * x1) * (47.9090309143066406 * x1))))))),(-1.1042242986546853) * ((exp((-0.790897509308948) * ((x0) * (x0)))) + (((((exp((-15.878773379768061) * ((x1) * (x1)))) + (exp(((x0) * (x0)) * (-27.99388909517438)))) * (-8.49393755197525e-2)) + (exp(((x1) * (x1)) * (-0.7928157011641793)))) + (-1.802012973831642))),saturated,217.131084,45,13,33,7,158,168,60,2,76,(-1.1042242986546853 * ((-1.802012973831642 + exp((-0.790897509308948 * (x0 * x0)))) + (exp((-0.7928157011641793 * (x1 * x1))) + ((exp((-15.878773379768061 * (x1 * x1))) + exp((-27.99388909517438 * (x0 * x0)))) * -0.0849393755197525)))),saturated,157.888708,33,7,33,7,158,168,60,1,76,(-1.1042242986546853 * (exp((-0.790897509308948 * (x0 * x0))) + ((((exp((-15.878773379768061 * (x1 * x1))) + exp(((x0 * x0) * -27.99388909517438))) * -0.0849393755197525) + exp(((x1 * x1) * -0.7928157011641793))) + -1.802012973831642))) -pagie,150,SBP,SBP,1,1,kept,5.0,2.0,egglog-baseline,0.004376-0.000000*((((exp(4.787000)+((exp(x1)-exp(((x0-(x0*x0))+(15.039000-x1))))*x1))*15.260000)*(exp(x0)*x1))),4.376e-3,saturated,184.865875,29,5,1,0,3,4,3,2,2,x1,saturated,151.224625,1,1,1,1,3,4,3,1,6,0.004376 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- (x0 * (x1 - 1.179))) + x1) + (x1 * ((-17.342 - (x0 * (x1 - 3.045))) + (x0 * x0)))))),saturated,160.816041,26,5,26,5,180,193,72,1,59,(0.084583 - (0.012464 * ((x1 + (exp(x1) - (x0 * (x1 - 1.179)))) + (x1 * (-17.342 - (x0 * ((x1 - 3.045) - x0))))))) -pagie,153,SBP,SBP,4,1,kept,3.0,3.0,egglog-baseline,-0.000465+0.164361*(exp((x0*(2.011000-x0)))),(-4.65e-4) + ((0.164361) * (exp((x0) * ((2.011) - (x0))))),saturated,154.816209,10,3,10,3,33,38,21,1,27,(-0.000465 + (0.164361 * exp((x0 * (2.011 - x0))))),saturated,151.225708,10,3,10,3,33,38,21,1,27,(-0.000465 + (0.164361 * exp((x0 * (2.011 - x0))))) -pagie,154,SBP,SBP,5,1,kept,8.0,7.0,egglog-baseline,0.018176+0.001712*((((((-8.935000*x0)+18.954000)*((x0*(x0-5.120000))*(x0-4.881000)))+x1)-((x1*18.328000)*(x1-4.881000)))),(1.8176e-2) + ((1.712e-3) * (((((18.954) - ((8.935) * (x0))) * (((x0) * ((x0) - (5.12))) * ((x0) - (4.881)))) + (x1)) - (((x1) * (18.328)) * ((x1) - (4.881))))),saturated,361.084500,29,8,29,8,569,585,123,2,76,(0.018176 + (0.001712 * (((((-8.935 * x0) + 18.954) * ((x0 * (x0 + -5.12)) * (x0 + -4.881))) + x1) + (-18.328 * ((x1 + -4.881) * x1))))),saturated,476.263667,29,8,29,8,569,585,123,2,76,(0.018176 + (0.001712 * ((((18.954 + (-8.935 * x0)) * ((x0 * (x0 + -5.12)) * (x0 + -4.881))) + x1) + (-18.328 * ((x1 + -4.881) * x1))))) -pagie,155,SBP,SBP,6,1,kept,6.0,1.0,egglog-baseline,0.012711-0.000000*((x1-(((16.817000*((16.817000*x1)-exp(x1)))-exp(x1))*exp(((19.315000-x0)*(17.099000+x0)))))),1.2711e-2,saturated,176.240042,26,6,1,0,3,4,3,2,2,x1,saturated,147.645583,1,1,1,1,3,4,3,1,6,0.012711 -pagie,156,SBP,SBP,7,1,kept,3.0,3.0,egglog-baseline,0.112902-0.007452*(((((x0*(x1*x0))+((((x0-x1)+x0)*x0)+(x1*(-20.819000))))-(x0-exp(x1)))+x1)),(7.452e-3) * ((x0) + (((15.150563607085346) + (((x1) * (19.819)) - (exp(x1)))) - ((x0) * (((x0) * (x1)) + ((x0) + ((x0) - (x1))))))),saturated,182.745917,28,3,26,3,133,140,50,2,51,(0.007452 * ((((15.150563607085346 - x1) - (x1 * -20.819)) - (x0 * ((x1 * x0) + ((x0 - x1) + x0)))) + 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((exp((x1) * ((((x1) * (-0.21525155901116402)) - (x1)) / (1.6166469529264866)))) / (0.9535730587566704))) + (-3.8656535048068826e-3),saturated,207.947833,43,16,29,9,98,114,65,2,79,(((((3.2712151658590822 - exp(((-1.1604575201290437 + (x0 * x0)) * -0.7758328827728213))) / 2.2742077730412187) - -0.5544662813959574) - (exp(((((x1 * -0.21525155901116402) - x1) / 1.6166469529264866) * x1)) / 0.9535730587566704)) - 0.0038656535048068826),saturated,169.752125,29,9,29,9,83,95,53,1,79,(((((3.2712151658590822 - exp((((x0 * x0) + -1.1604575201290437) * -0.7758328827728213))) / 2.2742077730412187) + 0.5544662813959574) - (exp((x1 * (((x1 * -0.21525155901116402) - x1) / 1.6166469529264866))) / 0.9535730587566704)) + -0.0038656535048068826) -pagie,209,SRjl,SRjl,30,1,kept,7.0,6.0,egglog-baseline,(((((2.446632681660071 / exp((x0 / 0.7849375091277773) * x0)) - log((x0 * x0) - -0.20732621651686337)) - log(((x1 * x1) / 0.8190741249131813) + 0.02273936196225082)) * -0.16360691420886442) + 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(log(abs(x1))))^(-1)))),saturated,201.284834,32,4,32,4,178,186,57,2,67,(0.03943336488999562 * (x1 * (((x0 * x0) + x1) * (((0.046906498950706255 * (((x1 + (4.0 * (x1 * x1))) + exp((x0 * x0))) + 2.649301878755651)) - log(abs(x1))) ** -1.0)))),saturated,199.906125,32,4,32,4,178,186,57,2,67,(0.03943336488999562 * (x1 * ((x1 + (x0 * x0)) * (((0.046906498950706255 * (((x1 + (4.0 * (x1 * x1))) + exp((x0 * x0))) + 2.649301878755651)) - log(abs(x1))) ** -1.0)))) -kotanchek,10,Bingo,Bingo,11,1,kept,4.0,4.0,egglog-baseline,0.2306440753250631 + (0.03139967317000205)*(x1) + (-1.1634241022901022 + (exp(exp(-1 + x0)))^(-1))*(1.2522488356336676 - (exp((x0)*((exp(exp(-1 + x0)))^(-1))))),((0.2306440753250631) + ((3.139967317000205e-2) * (x1))) + (((-1.1634241022901022) + ((exp(exp((-1.0) + (x0))))^(-1))) * ((1.2522488356336676) - (exp((x0) * ((exp(exp((-1.0) + (x0))))^(-1)))))),saturated,171.191209,28,6,28,6,69,77,38,1,72,((0.2306440753250631 + (0.03139967317000205 * x1)) + ((-1.1634241022901022 + (exp(exp((-1.0 + x0))) ** -1.0)) * (1.2522488356336676 - exp((x0 * (exp(exp((-1.0 + x0))) ** -1.0)))))),saturated,168.578750,28,6,28,6,69,77,38,1,72,((0.2306440753250631 + (0.03139967317000205 * x1)) + ((-1.1634241022901022 + (exp(exp((-1.0 + x0))) ** -1.0)) * (1.2522488356336676 - exp((x0 * (exp(exp((-1.0 + x0))) ** -1.0)))))) -kotanchek,11,Bingo,Bingo,12,1,kept,6.0,5.0,egglog-baseline,(-0.04106910574307527)*(78.09907550417113 + x0 + (1.0611956406287764)*((x1)*(-4.735723943783631 + x1))) + (0.00822065460724008 + (x0)*(x0))*((exp((x0)*(x0)))^(-1)) - (plog(-0.04106910574307527)),(((8.22065460724008e-3) + ((x0) * (x0))) * ((exp((x0) * (x0)))^(-1))) + ((-4.106910574307527e-2) * ((x0) + (((1.0611956406287764) * ((x1) * ((x1) + (-4.735723943783631)))) + (0.36426566457643617)))),saturated,198.165500,30,6,26,5,84,93,43,2,63,((-0.04106910574307527 * ((0.36426566457643617 + x0) + (1.0611956406287764 * (x1 * (-4.735723943783631 + x1))))) + ((0.00822065460724008 + (x0 * x0)) * (exp((x0 * x0)) ** -1.0))),saturated,182.721125,26,5,26,5,84,93,43,1,63,(((0.00822065460724008 + (x0 * x0)) * (exp((x0 * x0)) ** -1.0)) + (-0.04106910574307527 * (x0 + ((1.0611956406287764 * (x1 * (x1 + -4.735723943783631))) + 0.36426566457643617)))) -kotanchek,12,Bingo,Bingo,13,1,kept,9.0,5.0,egglog-baseline,((69920813446.957 + (3837.522818140268)*((-6411.945978052463 + (5614.613323813786)*(x0))*(-6411.945978052463 + (5614.613323813786)*(x0))))^(-1))*(32356483533.402588 + (-10343913179.625605)*(x0) + (5885307060.08351)*(x1)),(((6.9920813446957e10) + (((x0) + (-1.142010252221088)) * (((x0) + (-1.142010252221088)) * (1.209736194690767e11))))^(-1)) * (((3.2356483533402573e10) + ((x0) * (-1.0343913179625605e10))) + ((5.885307060083509e9) * (x1))),saturated,221.683458,27,9,23,7,184,199,76,2,67,(((69920813446.957 + (120973619469.07672 * ((x0 + -1.142010252221088) * (x0 + -1.142010252221088)))) ** -1.0) * ((32356483533.402588 + (-10343913179.625605 * x0)) + (5885307060.08351 * x1))),saturated,175.516208,23,7,23,7,163,177,69,1,67,(((69920813446.957 + ((x0 + -1.142010252221088) * ((x0 + -1.142010252221088) * 120973619469.0767))) ** -1.0) * ((32356483533.402573 + (x0 * -10343913179.625605)) + (5885307060.083509 * x1))) -kotanchek,13,Bingo,Bingo,14,1,kept,5.0,5.0,egglog-baseline,(-0.008870475378536939 + (-0.0506336679649604)*(x1))*(((x0 + (-0.3460574947000204)*(1.0326587094648079 + exp(x0)))^(-1))*(plog(-9.541496629390634 + (2)*(x1)))),((-8.870475378536939e-3) + ((-5.06336679649604e-2) * (x1))) * ((((x0) + ((-0.3460574947000204) * ((1.0326587094648079) + (exp(x0)))))^(-1)) * (log(abs((-9.541496629390634) + ((x1) * (2.0)))))),saturated,173.867792,24,6,24,6,140,152,60,1,63,((-0.008870475378536939 + (-0.0506336679649604 * x1)) * (((x0 + (-0.3460574947000204 * (1.0326587094648079 + exp(x0)))) ** -1.0) * log(abs((-9.541496629390634 + (2.0 * x1)))))),saturated,171.203666,24,6,24,6,140,152,60,1,63,((-0.008870475378536939 + (-0.0506336679649604 * x1)) * (((x0 + (-0.3460574947000204 * (1.0326587094648079 + exp(x0)))) ** -1.0) * log(abs((-9.541496629390634 + (x1 * 2.0)))))) -kotanchek,14,Bingo,Bingo,15,1,kept,3.0,3.0,egglog-baseline,-0.009079799107138235 + (0.973619601464109)*((-1.1573239810414302 + (x1)^(-2) + exp(x0) + (-2)*(plog(x0)))^(-1)),(-9.079799107138235e-3) + ((0.973619601464109) * (((((-1.1573239810414302) + ((x1)^(-2))) + (exp(x0))) + ((-2.0) * (log(abs(x0)))))^(-1))),saturated,170.420709,20,4,20,4,116,125,47,1,53,(-0.009079799107138235 + (0.973619601464109 * ((((-1.1573239810414302 + (x1 ** -2.0)) + exp(x0)) + (-2.0 * log(abs(x0)))) ** -1.0))),saturated,170.450458,20,4,20,4,116,125,47,1,53,(-0.009079799107138235 + (0.973619601464109 * ((((-1.1573239810414302 + (x1 ** -2.0)) + exp(x0)) + (-2.0 * log(abs(x0)))) ** -1.0))) -kotanchek,15,Bingo,Bingo,16,1,kept,5.0,4.0,egglog-baseline,-5.9611827480310925e-05 + (-8.813638500217107e-05)*((-119.17342611160666 + (1306.8992589231564)*((x1)*(-4.739082076972427 + x1)))*((exp((-1 + x0)*(-1 + x0)))^(-1))),(-5.9611827480310925e-5) + ((((x1) * ((x1) + (-4.739082076972427))) + (-9.118792079643674e-2)) * (((exp(((-1.0) + (x0)) * ((-1.0) + (x0))))^(-1)) * (-0.11518537624350336))),saturated,195.670209,24,7,22,6,65,73,36,2,61,(-5.9611827480310925e-05 + ((-0.11518537624350336 * ((x1 * (-4.739082076972427 + x1)) + -0.09118792079643674)) * (exp(((-1.0 + x0) * (-1.0 + x0))) ** -1.0))),saturated,170.153625,22,6,22,6,65,73,36,1,61,(-5.9611827480310925e-05 + (((x1 * (x1 + -4.739082076972427)) + -0.09118792079643674) * ((exp(((-1.0 + x0) * (-1.0 + x0))) ** -1.0) * -0.11518537624350336))) -kotanchek,16,Bingo,Bingo,17,1,kept,4.0,4.0,egglog-baseline,(0.681112641117685)*(((exp(x0))*(x0 - (exp(x0))))*((-0.601686750816862 + (0.0635052950716775)*((-0.17402614857984516 + x1)*((exp(x0))*(x0 - (exp(x0))))) - (x0))*((exp(exp(x0)))^(-1)))),(0.681112641117685) * (((exp(x0)) * ((x0) - (exp(x0)))) * ((((-0.601686750816862) + ((6.35052950716775e-2) * (((exp(x0)) * ((x0) - (exp(x0)))) * ((-0.17402614857984516) + (x1))))) - (x0)) * ((exp(exp(x0)))^(-1)))),saturated,187.071667,33,4,33,4,308,316,67,1,67,(0.681112641117685 * ((exp(x0) * (x0 - exp(x0))) * (((-0.601686750816862 + (0.0635052950716775 * ((-0.17402614857984516 + x1) * (exp(x0) * (x0 - exp(x0)))))) - x0) * (exp(exp(x0)) ** -1.0)))),saturated,188.661459,33,4,33,4,308,316,67,1,67,(0.681112641117685 * ((exp(x0) * (x0 - exp(x0))) * (((-0.601686750816862 + (0.0635052950716775 * ((exp(x0) * (x0 - exp(x0))) * (-0.17402614857984516 + x1)))) - x0) * (exp(exp(x0)) ** -1.0)))) -kotanchek,18,Bingo,Bingo,19,1,kept,4.0,4.0,egglog-baseline,(0.004874455021822982)*((0.6623280966084486 + x1)*(9.896181203737148 + (10.524866972388967 + x0)*((exp((x0)*(-1 + x0) - (x0)))^(-1)) - ((x1)*(x1)))),(4.874455021822982e-3) * (((0.6623280966084486) + (x1)) * (((9.896181203737148) + (((10.524866972388967) + (x0)) * ((exp(((x0) * ((x0) + (-1.0))) - (x0)))^(-1)))) - ((x1) * (x1)))),saturated,167.248750,26,5,26,5,64,71,35,1,63,(0.004874455021822982 * ((0.6623280966084486 + x1) * ((9.896181203737148 + ((10.524866972388967 + x0) * (exp(((x0 * (-1.0 + x0)) - x0)) ** -1.0))) - (x1 * x1)))),saturated,169.793583,26,5,26,5,64,71,35,1,63,(0.004874455021822982 * ((0.6623280966084486 + x1) * ((9.896181203737148 + ((10.524866972388967 + x0) * (exp(((x0 * (x0 + -1.0)) - x0)) ** -1.0))) - (x1 * x1)))) -kotanchek,19,Bingo,Bingo,20,1,kept,5.0,5.0,egglog-baseline,(-0.03309619870833754)*(-3.819150332778322 + x0 + (0.03907279509253594 + (x0)*(x0))*((-15.272972634101004 + (-7.53747357012547)*(x1))*((exp((x0)*(x0)))^(-1)))),(-3.309619870833754e-2) * (((-3.819150332778322) + (x0)) + (((3.907279509253594e-2) + ((x0) * (x0))) * (((-15.272972634101004) + ((-7.53747357012547) * (x1))) * ((exp((x0) * (x0)))^(-1))))),saturated,194.690667,24,5,24,5,123,132,48,2,60,(-0.03309619870833754 * ((-3.819150332778322 + x0) + ((0.03907279509253594 + (x0 * x0)) * ((-7.53747357012547 * (x1 + 2.026272131107024)) * (exp((x0 * x0)) ** -1.0))))),saturated,192.084208,24,5,24,5,123,132,48,2,60,(-0.03309619870833754 * ((-3.819150332778322 + x0) + ((0.03907279509253594 + (x0 * x0)) * ((-7.53747357012547 * (x1 + 2.026272131107024)) * (exp((x0 * x0)) ** -1.0))))) -kotanchek,20,Bingo,Bingo,21,1,kept,4.0,4.0,egglog-baseline,((2)*(0.17850583364543127))*((x0 + exp(x0))*((((-1)*(0.17850583364543127))*((x0)*(exp(x0))) + exp(((2)*(0.17850583364543127))*(x0 + exp(x0))) - (plog(((2)*(0.17850583364543127))*(x0 + exp(x0)))))^(-1))),(0.35701166729086253) * (((x0) + (exp(x0))) * (((((-0.17850583364543127) * ((x0) * (exp(x0)))) + (exp((0.35701166729086253) * ((x0) + (exp(x0)))))) - (log(abs((0.35701166729086253) * ((x0) + (exp(x0)))))))^(-1))),saturated,199.656084,40,8,32,4,103,110,44,2,65,(0.35701166729086253 * ((x0 + exp(x0)) * ((((-0.17850583364543127 * (x0 * exp(x0))) + exp((0.35701166729086253 * (x0 + exp(x0))))) - log((0.35701166729086253 * abs((x0 + exp(x0)))))) ** -1.0))),saturated,199.155833,32,4,32,4,103,110,44,2,65,(0.35701166729086253 * ((x0 + exp(x0)) * ((((-0.17850583364543127 * (x0 * exp(x0))) + exp((0.35701166729086253 * (x0 + exp(x0))))) - log((0.35701166729086253 * abs((x0 + exp(x0)))))) ** -1.0))) -kotanchek,21,Bingo,Bingo,22,1,kept,3.0,3.0,egglog-baseline,(0.6877488188414488)*(exp((2)*(x0) - ((x0)*(x0) + (-0.8494111690013563 - (x1))*((-0.2000198424296049 - (x1))^(-1))))),(0.6877488188414488) * (exp(((2.0) * (x0)) - (((x0) * (x0)) + (((-0.8494111690013563) - (x1)) * (((-0.2000198424296049) - (x1))^(-1)))))),saturated,184.481417,20,4,20,4,43,50,30,2,50,(0.6877488188414488 * exp((((2.0 * x0) - (x0 * x0)) - ((-0.8494111690013563 - x1) * ((-0.2000198424296049 - x1) ** -1.0))))),saturated,185.225125,20,4,20,4,43,50,30,2,50,(0.6877488188414488 * exp((((2.0 * x0) - (x0 * x0)) - ((-0.8494111690013563 - x1) * ((-0.2000198424296049 - x1) ** -1.0))))) -kotanchek,22,Bingo,Bingo,23,1,kept,7.0,6.0,egglog-baseline,(2.5131784365055503)*(((exp(x0))^(-1))*(20.83283257582063 + x0 + (0.029475689425325854)*(x1) + (-0.6569808069960112)*((5.186033678881531 - (x0))*(5.714201897136322 + x0 + ((2.5131784365055503)^(-1))*(exp(x0)))))),(2.5131784365055503) * (((exp(x0))^(-1)) * ((((x0) + (20.83283257582062)) + ((2.9475689425325854e-2) * (x1))) + ((-0.6569808069960112) * (((5.186033678881531) - (x0)) * (((x0) + (5.714201897136322)) + ((exp(x0)) * (0.3979025068313296))))))),saturated,208.634542,31,7,29,7,234,249,85,2,75,(2.5131784365055503 * ((exp(x0) ** -1.0) * (((20.83283257582063 + x0) + (0.029475689425325854 * x1)) + (-0.6569808069960112 * ((5.186033678881531 - x0) * ((5.714201897136322 + x0) + (0.3979025068313296 * exp(x0)))))))),saturated,194.583875,29,7,29,7,234,249,85,1,75,(2.5131784365055503 * ((exp(x0) ** -1.0) * (((x0 + 20.83283257582062) + (0.029475689425325854 * x1)) + (-0.6569808069960112 * ((5.186033678881531 - x0) * ((x0 + 5.714201897136322) + (exp(x0) * 0.3979025068313296))))))) -kotanchek,23,Bingo,Bingo,24,1,kept,8.0,8.0,egglog-baseline,0.006514843839523813 + (0.012790360845057828 + (-0.13720269441638683)*((x0 + (x0)*(x0))*(2.4024045089083383 + x1)))*((-1.5068813313136211 + (-0.32506758388128154)*(exp((x0)*(x0))) - ((x0)*(x0)))^(-1)) + exp(-1.5068813313136211 + (-0.32506758388128154)*(exp((x0)*(x0)))),((6.514843839523813e-3) + (((1.2790360845057828e-2) + ((-0.13720269441638683) * (((x0) + ((x0) * (x0))) * ((2.4024045089083383) + (x1))))) * ((((-1.5068813313136211) + ((-0.32506758388128154) * (exp((x0) * (x0))))) - ((x0) * (x0)))^(-1)))) + (exp((-1.5068813313136211) + ((-0.32506758388128154) * (exp((x0) * (x0)))))),saturated,179.097750,40,8,40,8,120,132,59,1,95,((0.006514843839523813 + ((0.012790360845057828 + (-0.13720269441638683 * ((x0 + (x0 * x0)) * (2.4024045089083383 + x1)))) * (((-1.5068813313136211 + (-0.32506758388128154 * exp((x0 * x0)))) - (x0 * x0)) ** -1.0))) + exp((-1.5068813313136211 + (-0.32506758388128154 * exp((x0 * x0)))))),saturated,172.930875,40,8,40,8,120,132,59,1,95,((0.006514843839523813 + ((0.012790360845057828 + (-0.13720269441638683 * ((x0 + (x0 * x0)) * (2.4024045089083383 + x1)))) * (((-1.5068813313136211 + (-0.32506758388128154 * exp((x0 * x0)))) - (x0 * x0)) ** -1.0))) + exp((-1.5068813313136211 + (-0.32506758388128154 * exp((x0 * x0)))))) -kotanchek,24,Bingo,Bingo,25,1,kept,5.0,5.0,egglog-baseline,0.042926148212222445 + (0.038206703422840375)*(((x0)*(5.566396182362499 + x0))*((0.011789883601234424 + x1)*((4.1139823128908555 + (x0)*(x0) - (x1))*((exp((x0)*(x0)))^(-1))))),(4.2926148212222445e-2) + ((3.8206703422840375e-2) * (((x0) * ((x0) + (5.566396182362499))) * (((1.1789883601234424e-2) + (x1)) * ((((4.1139823128908555) + ((x0) * (x0))) - (x1)) * ((exp((x0) * (x0)))^(-1)))))),saturated,252.480125,28,5,28,5,710,719,92,1,66,(0.042926148212222445 + (0.038206703422840375 * ((x0 * (5.566396182362499 + x0)) * ((0.011789883601234424 + x1) * (((4.1139823128908555 + (x0 * x0)) - x1) * (exp((x0 * x0)) ** -1.0)))))),saturated,252.586000,28,5,28,5,710,719,92,1,66,(0.042926148212222445 + (0.038206703422840375 * ((x0 * (x0 + 5.566396182362499)) * ((0.011789883601234424 + x1) * (((4.1139823128908555 + (x0 * x0)) - x1) * (exp((x0 * x0)) ** -1.0)))))) -kotanchek,25,Bingo,Bingo,26,1,kept,6.0,6.0,egglog-baseline,0.2497806421525048 + (-0.6964203985908678 + (2)*(((exp(x0))^(-1))*(plog(x0 + exp(x0)))))*(0.11848913269441189 + (0.13470217521610287 + (0.5185123293134022)*(x0))*(-0.0008622481242864235 + (2)*(((exp(x0))^(-1))*(plog(x0 + exp(x0)))))),(0.2497806421525048) + (((((x0) + (0.25978586737652176)) * ((((exp(x0))^(-1)) * (log(abs((x0) + (exp(x0)))))) + (-4.3112406214321176e-4))) + (0.11425874178470499)) * (((((exp(x0))^(-1)) * (log(abs((x0) + (exp(x0)))))) + (-0.3482101992954339)) * (2.0740493172536087))),saturated,225.615458,41,8,37,6,80,89,44,2,84,(0.2497806421525048 + ((2.0740493172536087 * (((exp(x0) ** -1.0) * log(abs((x0 + exp(x0))))) + -0.3482101992954339)) * (((((exp(x0) ** -1.0) * log(abs((x0 + exp(x0))))) + -0.00043112406214321176) * (x0 + 0.25978586737652176)) + 0.11425874178470499))),saturated,170.895417,37,6,37,6,80,89,44,1,84,(0.2497806421525048 + ((((x0 + 0.25978586737652176) * (((exp(x0) ** -1.0) * log(abs((x0 + exp(x0))))) + -0.00043112406214321176)) + 0.11425874178470499) * ((((exp(x0) ** -1.0) * log(abs((x0 + exp(x0))))) + -0.3482101992954339) * 2.0740493172536087))) -kotanchek,26,Bingo,Bingo,27,1,kept,5.0,5.0,egglog-baseline,(-1.9305547847352778)*(((10.665734721501936 + ((x0)*((x0)*(x0)))*((x0)*((x0)*(x0))) + (2.057897964881403)*(x1) - (x0))^(-1))*(0.20556825888097427 + (-2.9052829962789213)*(x0) + exp(plog(x0)) - (x1))),(-1.9305547847352778) * ((((((10.665734721501936) + (((x0) * ((x0) * (x0))) * ((x0) * ((x0) * (x0))))) + ((2.057897964881403) * (x1))) - (x0))^(-1)) * ((((0.20556825888097427) + ((x0) * (-2.9052829962789213))) + (abs(x0))) - 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((4.5 + (14.48 * x1)) - (exp(x1) - x1))))),saturated,162.333417,23,4,23,4,73,81,39,1,50,(-0.000569 + (0.008219 * (exp(((x0 + x0) - (x0 * x0))) * (x1 + (((x1 * 14.48) + 4.5) - exp(x1)))))) -kotanchek,95,GOMEA,GOMEA,6,1,kept,3.0,3.0,egglog-baseline,0.041578+0.022505*(((((x0+x1)-exp(x0))+((4.360000-x1)*(x1+x1)))*exp(((x0+x0)-(x0*x0))))),(4.1578e-2) + ((2.2505e-2) * (((((x0) + (x1)) - (exp(x0))) + (((4.36) - (x1)) * ((x1) + (x1)))) * (exp(((x0) + (x0)) - ((x0) * (x0)))))),saturated,162.749459,27,3,27,3,66,72,34,1,52,(0.041578 + (0.022505 * ((((x0 + x1) - exp(x0)) + ((4.36 - x1) * (x1 + x1))) * exp(((x0 + x0) - (x0 * x0)))))),saturated,162.006375,27,3,27,3,66,72,34,1,52,(0.041578 + (0.022505 * ((((x0 + x1) - exp(x0)) + ((4.36 - x1) * (x1 + x1))) * exp(((x0 + x0) - (x0 * x0)))))) -kotanchek,96,GOMEA,GOMEA,7,1,kept,5.0,4.0,egglog-baseline,-0.002373+0.007876*((exp(((x0+x0)-(x0*x0)))*(((x1-0.327000)+(x1*14.509000))-(exp(x1)+(x0-6.946000))))),(-2.373e-3) + ((7.876e-3) * ((exp(((x0) + (x0)) - ((x0) * (x0)))) * ((((x1) + (((x1) * (14.509)) + (6.619))) - (exp(x1))) - (x0)))),saturated,191.182792,27,5,25,4,85,93,42,2,53,(-0.002373 + (0.007876 * (exp(((x0 + x0) - (x0 * x0))) * (((6.619 + ((x1 * 14.509) + x1)) - x0) - exp(x1))))),saturated,161.774417,25,4,25,4,85,93,42,1,53,(-0.002373 + (0.007876 * (exp(((x0 + x0) - (x0 * x0))) * (((x1 + ((x1 * 14.509) + 6.619)) - exp(x1)) - x0)))) -kotanchek,97,GOMEA,GOMEA,8,1,kept,3.0,3.0,egglog-baseline,0.040188-0.167339*((exp((exp(-4.145000)-(x1*x1)))-exp(((x0+x0)-(x0*x0))))),(4.0188e-2) - ((0.167339) * ((exp((1.5843435951321115e-2) - ((x1) * (x1)))) - (exp(((x0) + (x0)) - ((x0) * (x0)))))),saturated,182.048709,20,3,19,3,65,74,40,2,40,(0.040188 - (0.167339 * (exp((0.015843435951321115 - (x1 * x1))) - exp(((x0 + x0) - (x0 * x0)))))),saturated,163.192291,19,3,19,3,65,74,40,1,40,(0.040188 - (0.167339 * (exp((0.015843435951321115 - (x1 * x1))) - exp(((x0 + x0) - (x0 * x0)))))) 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(15.584)))))),saturated,166.608375,27,4,27,4,170,182,67,1,56,(0.001573 - (0.008457 * (exp(((x0 + x0) - (x0 * x0))) * (((x1 - x0) - (2.4 + x1)) + (exp(x1) + (-15.584 * x1)))))),saturated,168.352625,27,4,27,4,177,190,71,1,56,(0.001573 - (0.008457 * (exp(((x0 + x0) - (x0 * x0))) * (((x1 - x0) - (x1 + 2.4)) + (exp(x1) - (x1 * 15.584)))))) -kotanchek,100,GOMEA,GOMEA,11,1,kept,4.0,3.0,egglog-baseline,0.012093-0.012131*((exp(((x0+x0)-(x0*x0)))*(((2.494000-14.259000)*x1)+exp((x1-0.338000))))),(1.2093e-2) - ((1.2131e-2) * ((exp(((x0) + (x0)) - ((x0) * (x0)))) * (((-11.765) * (x1)) + (exp((x1) - (0.338)))))),saturated,184.719583,23,5,21,4,94,105,50,2,47,(0.012093 - (0.012131 * (exp(((x0 + x0) - (x0 * x0))) * ((-11.765 * x1) + exp((x1 - 0.338)))))),saturated,163.527708,21,4,21,4,94,105,50,1,47,(0.012093 - (0.012131 * (exp(((x0 + x0) - (x0 * x0))) * ((-11.765 * x1) + exp((x1 - 0.338)))))) 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(exp(x1)))))))),saturated,203.201542,31,8,29,7,192,212,93,2,71,(-0.108816 - (6.5e-05 * ((((-8.386 * x0) - (x1 + 0.898)) * exp((7.588 - x0))) - (((x0 - x1) * 32.702) * (exp(x1) - (x1 + 13.305)))))),saturated,170.339375,29,7,29,7,153,169,76,1,71,(-0.108816 - (6.5e-05 * ((((x0 * -8.386) + (-0.898 - x1)) * exp((7.588 - x0))) + ((x0 - x1) * (32.702 * (x1 + (13.305 - exp(x1)))))))) -kotanchek,103,GOMEA,GOMEA,14,1,kept,4.0,4.0,egglog-baseline,0.002398-0.008408*(((((x1*(-16.678000))+exp(x1))+((x1+x0)-(x0+3.300000)))*exp(((x0+x0)-(x0*x0))))),(2.398e-3) - ((8.408e-3) * (((exp(x1)) + (((x1) * (-15.678)) + (-3.3))) * (exp(((x0) + (x0)) - ((x0) * (x0)))))),saturated,166.883916,27,4,27,4,181,193,69,1,56,(0.002398 - (0.008408 * ((((x1 * -16.678) + exp(x1)) + ((x1 + x0) - (x0 + 3.3))) * exp(((x0 + x0) - (x0 * x0)))))),saturated,164.439834,21,4,21,4,108,119,53,1,47,(0.002398 - (0.008408 * ((exp(x1) + ((x1 * -15.678) + -3.3)) * exp(((x0 + x0) - (x0 * x0)))))) -kotanchek,104,GOMEA,GOMEA,15,1,kept,5.0,4.0,egglog-baseline,0.001058-0.008482*((exp(((x0+x0)-(x0*x0)))*((exp(x1)-(-8.523000-x1))-((x1*16.294000)+(16.678000-4.093000))))),(1.058e-3) - ((8.482e-3) * ((exp(((x0) + (x0)) - ((x0) * (x0)))) * (((exp(x1)) - ((x1) * (15.294))) + (-4.062000000000001)))),saturated,194.204667,27,6,23,4,160,172,64,2,50,(0.001058 - (0.008482 * (exp(((x0 + x0) - (x0 * x0))) * ((-4.062000000000001 + (x1 + exp(x1))) - (x1 * 16.294))))),saturated,166.545875,21,4,21,4,115,127,57,1,47,(0.001058 - (0.008482 * (exp(((x0 + x0) - (x0 * x0))) * ((exp(x1) - (x1 * 15.294)) + -4.062000000000001)))) -kotanchek,105,GOMEA,GOMEA,16,1,kept,4.0,3.0,egglog-baseline,0.007824-0.012740*((exp(((x0+x0)-(x0*x0)))*(((x1-8.411000)+4.098000)*((x1*x1)+(x1+x1))))),(7.824e-3) - (((x1) + (-4.313)) * ((1.274e-2) * ((exp(((x0) + (x0)) - ((x0) * (x0)))) * (((x1) * (x1)) + ((x1) + (x1)))))),saturated,189.267541,26,4,24,3,168,177,56,2,48,(0.007824 - (0.01274 * (exp(((x0 + x0) - (x0 * x0))) * ((-4.313 + x1) * ((x1 * x1) + (x1 + x1)))))),saturated,165.820875,24,3,24,3,168,177,56,1,48,(0.007824 - ((x1 + -4.313) * (0.01274 * (exp(((x0 + x0) - (x0 * x0))) * ((x1 * x1) + (x1 + x1)))))) -kotanchek,106,GOMEA,GOMEA,17,1,kept,5.0,5.0,egglog-baseline,0.002551-0.007740*((exp(((x0+x0)-(x0*x0)))*(((0.548000+x1)*(x1-4.287000))*(x1-(-1.260000-x1))))),(2.551e-3) - ((7.74e-3) * ((exp(((x0) + (x0)) - ((x0) * (x0)))) * ((((0.548) + (x1)) * ((x1) - (4.287))) * ((x1) - ((-1.26) - (x1)))))),saturated,223.355917,26,5,26,5,428,441,91,2,59,(0.002551 - (0.00774 * (exp(((x0 + x0) - (x0 * x0))) * (((0.548 + x1) * (x1 - 4.287)) * ((x1 - -1.26) + x1))))),saturated,226.167084,26,5,26,5,428,441,91,2,59,(0.002551 - (0.00774 * (exp(((x0 + x0) - (x0 * x0))) * (((0.548 + x1) * (x1 - 4.287)) * ((x1 - -1.26) + x1))))) -kotanchek,107,GOMEA,GOMEA,18,1,kept,3.0,3.0,egglog-baseline,0.002206+0.022640*(((((x0*x0)-(x0*x0))-((-4.636000+x1)*(x1+x1)))*exp(((x0+x0)-(x0*x0))))),(2.206e-3) + ((-2.264e-2) * (((-4.636) + (x1)) * (((x1) + (x1)) * (exp(((x0) + (x0)) - ((x0) * (x0))))))),saturated,204.725458,28,3,20,3,99,105,36,2,42,(0.002206 + ((-0.02264 * ((-4.636 + x1) * (x1 + x1))) * exp(((x0 + x0) - (x0 * x0))))),saturated,163.293666,20,3,20,3,99,105,36,1,42,(0.002206 + (-0.02264 * ((-4.636 + x1) * ((x1 + x1) * exp(((x0 + x0) - (x0 * x0))))))) -kotanchek,108,GOMEA,GOMEA,19,1,kept,5.0,5.0,egglog-baseline,0.014415+0.001055*((exp(((x0+x0)-(x0*x0)))*(((x1*x1)*(-4.670000+x1))*((5.882000+x1)*(-4.779000+x1))))),(1.4415e-2) + ((1.055e-3) * ((exp(((x0) + (x0)) - ((x0) * (x0)))) * ((((x1) * (x1)) * ((x1) + (-4.67))) * (((x1) + (5.882)) * ((x1) + (-4.779)))))),saturated,466.772833,28,5,28,5,1404,1412,121,1,62,(0.014415 + (0.001055 * (exp(((x0 + x0) - (x0 * x0))) * (((x1 * x1) * (-4.67 + x1)) * ((5.882 + x1) * (-4.779 + x1)))))),saturated,465.059584,28,5,28,5,1404,1412,121,1,62,(0.014415 + (0.001055 * (exp(((x0 + x0) - (x0 * x0))) * (((x1 * x1) * (x1 + -4.67)) * ((x1 + 5.882) * (x1 + -4.779)))))) 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+ x1)) + ((x1 * -17.925) + exp(x1)))))),saturated,163.146750,21,4,21,4,108,119,53,1,47,(-0.000234 - (0.008008 * (exp(((x0 + x0) - (x0 * x0))) * (exp(x1) + (-4.090999999999999 + (x1 * -15.925)))))) -kotanchek,111,GOMEA,GOMEA,22,1,kept,4.0,4.0,egglog-baseline,0.005151-0.019625*((exp(((x0+x0)-(x0*x0)))*(((x1-4.022000)*(x1*x1))+((-1.303000-0.050000)-x1)))),(5.151e-3) - ((((x1) * ((x1) * ((x1) + (-4.022)))) + ((-1.353) - (x1))) * ((1.9625e-2) * (exp(((x0) + (x0)) - ((x0) * (x0)))))),saturated,183.785917,26,5,24,4,101,112,52,2,52,(0.005151 - (0.019625 * (exp(((x0 + x0) - (x0 * x0))) * (((x1 - 4.022) * (x1 * x1)) + (-1.353 - x1))))),saturated,166.117167,24,4,24,4,97,107,49,1,52,(0.005151 - (((x1 * (x1 * (x1 + -4.022))) + (-1.353 - x1)) * (0.019625 * exp(((x0 + x0) - (x0 * x0)))))) -kotanchek,112,GOMEA,GOMEA,23,1,kept,3.0,3.0,egglog-baseline,0.027028+0.108127*((((exp(x0)*exp(x0))*((x1*x1)*(x1+6.423000)))*exp(((x0-x1)-exp(x0))))),(2.7028e-2) + ((0.108127) * ((((exp(x0)) * (exp(x0))) * (((x1) * (x1)) * ((x1) + (6.423)))) * (exp(((x0) - (x1)) - (exp(x0)))))),saturated,301.188042,25,3,25,3,931,937,90,1,48,(0.027028 + (0.108127 * (((exp(x0) * exp(x0)) * ((x1 * x1) * (x1 + 6.423))) * exp(((x0 - x1) - exp(x0)))))),saturated,297.419833,25,3,25,3,931,937,90,1,48,(0.027028 + (0.108127 * (((exp(x0) * exp(x0)) * ((x1 * x1) * (x1 + 6.423))) * exp(((x0 - x1) - exp(x0)))))) -kotanchek,113,GOMEA,GOMEA,24,1,kept,5.0,4.0,egglog-baseline,0.014790+0.002199*((exp(((x0+x0)-(x0*x0)))*(((-8.382000+x1)-(0.249000-x1))*((x1*x1)*(-7.883000+x1))))),(1.479e-2) + ((2.199e-3) * ((exp(((x0) + (x0)) - ((x0) * (x0)))) * (((-8.631) + ((x1) + (x1))) * (((x1) * (x1)) * ((x1) + (-7.883)))))),saturated,268.155292,28,5,26,4,482,489,72,2,55,(0.01479 + (0.002199 * (exp(((x0 + x0) - (x0 * x0))) * (((-8.631 + x1) + x1) * ((x1 * x1) * (-7.883 + x1)))))),saturated,202.506833,26,4,26,4,482,489,72,1,55,(0.01479 + (0.002199 * (exp(((x0 + x0) - (x0 * x0))) * ((-8.631 + (x1 + x1)) * ((x1 * x1) * (x1 + -7.883)))))) -kotanchek,114,GOMEA,GOMEA,25,1,kept,4.0,3.0,egglog-baseline,0.010559+0.013455*(((((4.203000-x1)+exp(-3.785000))*((x1*x1)+(x1+x1)))*exp(((x0+x0)-(x0*x0))))),(1.0559e-2) + ((1.3455e-2) * (((((4.203) - (x1)) + (2.2708862776731332e-2)) * (((x1) * (x1)) + ((x1) + (x1)))) * (exp(((x0) + (x0)) - ((x0) * (x0)))))),saturated,184.710042,27,4,26,4,114,121,43,2,55,(0.010559 + (0.013455 * ((((4.203 - x1) + 0.022708862776731332) * ((x1 * x1) + (x1 + x1))) * exp(((x0 + x0) - (x0 * x0)))))),saturated,169.273833,26,4,26,4,114,121,43,1,55,(0.010559 + (0.013455 * ((((4.203 - x1) + 0.022708862776731332) * ((x1 * x1) + (x1 + x1))) * exp(((x0 + x0) - (x0 * x0)))))) -kotanchek,115,GOMEA,GOMEA,26,1,kept,5.0,4.0,egglog-baseline,-0.002850-0.007989*((exp(((x0+x0)-(x0*x0)))*((0.141000+exp(x1))-((5.595000-x1)+(x1*16.435000))))),(-2.85e-3) + (((7.989e-3) * (exp(((x0) + (x0)) - ((x0) * (x0))))) * ((5.454) + (((x1) * (15.434999999999999)) - (exp(x1))))),saturated,216.431083,25,5,23,4,160,172,64,2,50,(-0.00285 - (0.007989 * (exp(((x0 + x0) - (x0 * x0))) * (((-5.454 + exp(x1)) + x1) - (x1 * 16.435))))),saturated,162.937083,21,4,21,4,62,69,34,1,47,(-0.00285 + ((0.007989 * exp(((x0 + x0) - (x0 * x0)))) * (5.454 + ((x1 * 15.434999999999999) - exp(x1))))) -kotanchek,116,GOMEA,GOMEA,27,1,kept,4.0,3.0,egglog-baseline,0.013200-0.015123*(((((-5.053000*x1)*(5.158000-x1))*(exp(x0)*(x1*x1)))*exp(((x0-x1)-(x0*x0))))),(1.32e-2) - ((x1) * ((x1) * ((exp(((x0) - (x1)) - ((x0) * (x0)))) * ((exp(x0)) * ((x1) * (((5.158) - (x1)) * (-7.6416519e-2))))))),saturated,7206.540791,27,4,25,3,1299,1308,124,2,49,(0.0132 - (((((-0.076416519 * x1) * (5.158 - x1)) * exp(x0)) * (x1 * x1)) * exp(((x0 - x1) - (x0 * x0))))),saturated,391.157916,25,3,25,3,1299,1308,124,1,49,(0.0132 - (x1 * (x1 * (exp(((x0 - x1) - (x0 * x0))) * (exp(x0) * (x1 * ((5.158 - x1) * -0.076416519))))))) -kotanchek,117,GOMEA,GOMEA,28,1,kept,5.0,4.0,egglog-baseline,-0.002065-0.007572*((exp(((x0+x0)-(x0*x0)))*(((x1+2.326000)-(7.014000-x1))+(exp(x1)-(18.337000*x1))))),(-2.065e-3) - ((7.572e-3) * ((exp(((x0) + (x0)) - ((x0) * (x0)))) * (((-4.688000000000001) - ((x1) * (17.337))) + ((x1) + (exp(x1)))))),saturated,198.426084,27,5,25,4,233,245,72,2,53,(-0.002065 - (0.007572 * (exp(((x0 + x0) - (x0 * x0))) * (((-4.688000000000001 + x1) + x1) + (exp(x1) - (18.337 * x1)))))),saturated,166.312083,23,4,23,4,167,180,68,1,50,(-0.002065 - (0.007572 * (exp(((x0 + x0) - (x0 * x0))) * ((-4.688000000000001 - (x1 * 17.337)) + (x1 + exp(x1)))))) -kotanchek,118,GOMEA,GOMEA,29,1,kept,5.0,4.0,egglog-baseline,0.000258-0.008126*((exp(((x0+x0)-(x0*x0)))*(((1.637000-17.444000)*(-1.529000+x1))-((20.873000+7.266000)-exp(x1))))),(2.58e-4) - ((8.126e-3) * ((exp(((x0) + (x0)) - ((x0) * (x0)))) * ((exp(x1)) + ((-15.806999999999999) * ((x1) + (0.25116068830265115)))))),saturated,228.915125,27,7,21,4,90,100,47,2,47,(0.000258 - (0.008126 * (exp(((x0 + x0) - (x0 * x0))) * ((-15.806999999999999 * (0.25116068830265115 + x1)) + exp(x1))))),saturated,166.159625,21,4,21,4,90,100,47,1,47,(0.000258 - (0.008126 * (exp(((x0 + x0) - (x0 * x0))) * (exp(x1) + (-15.806999999999999 * (x1 + 0.25116068830265115)))))) -kotanchek,119,GOMEA,GOMEA,30,1,kept,6.0,5.0,egglog-baseline,0.004369-0.000167*((exp(((x0+x0)-(x0*x0)))*(((x1*(-8.637000))*(4.502000-x1))*((11.197000-x1)*(1.581000+x1))))),(4.369e-3) - (((11.197) - (x1)) * ((exp(((x0) + (x0)) - ((x0) * (x0)))) * (((x1) + (1.581)) * (((x1) * ((4.502) - (x1))) * (-1.442379e-3))))),saturated,5241.083125,28,6,26,5,1172,1183,130,2,59,(0.004369 - (((-0.001442379 * x1) * (((11.197 - x1) * (1.581 + x1)) * (4.502 - x1))) * exp(((x0 + x0) - (x0 * x0))))),saturated,384.559500,26,5,26,5,1172,1183,130,1,59,(0.004369 - ((11.197 - x1) * (exp(((x0 + x0) - (x0 * x0))) * ((x1 + 1.581) * ((x1 * (4.502 - x1)) * -0.001442379))))) -kotanchek,120,Operon,Operon,1,1,kept,14.0,8.0,egglog-baseline,((-0.0000644577157800) + (1.0001556873321533 * ((((-0.0006379182450473) - (0.0003036445996258 * x1)) + (((1.0098193883895874 * x1) * ((-2.1118876934051514) * x1)) * (0.0005665634525940 * x1))) * (exp((1.9995476007461548 * x0)) * ((((2.9050014019012451 * x1) * ((-1.6316955089569092) * x1)) + ((-83.5919265747070312) - ((-39.5477447509765625) * x1))) / exp(((0.0681112110614777 * x0) * (14.6775512695312500 * x0)))))))),(-6.445771578e-5) + ((((x1) * (((x1) * (x1)) + (0.2513057822290573))) + (0.5279611222045847)) * (((exp((1.9995476007461548) * (x0))) * (((17.63513831255143) + ((x1) * ((x1) + (-8.343269227198043)))) / (exp((0.999705792384703) * ((x0) * (x0)))))) * (5.728173365985096e-3))),timeout,180000.000000,na,na,na,na,na,na,na,na,na,timeout,saturated,207.523792,33,8,33,8,268,279,73,2,81,(-6.445771578e-05 + (((x1 * ((x1 * x1) + 0.2513057822290573)) + 0.5279611222045847) * (((17.63513831255143 + (x1 * (x1 + -8.343269227198043))) * (exp((1.9995476007461548 * x0)) / exp((0.999705792384703 * (x0 * x0))))) * 0.005728173365985096))) -kotanchek,121,Operon,Operon,2,1,kept,13.0,10.0,egglog-baseline,(0.0019190539605916 + (0.9954085946083069 * ((exp((3.0602750778198242 * x0)) / exp(((exp(((0.4211926460266113 * x0) + 1.6726008653640747)) - ((1.3422309160232544 * x1) - exp(((-1.2979059219360352) * x0)))) + ((0.0003775433578994 * x1) * (1131.5198974609375000 * x1))))) * ((((-0.0027062874287367) * x1) * ((-6793.8808593750000000) * x1)) + (((-24.5153598785400391) * x1) - (-29.1849021911621094)))))),(1.9190539605916e-3) + (((((x1) * ((x1) + (-1.3333569413975992))) + (1.5873269702501887)) * ((exp((3.060275077819824) * (x0))) * (18.301775890134763))) / (exp(((exp(((x0) * (0.4211926460266113)) + (1.6726008653640747))) + (exp((x0) * (-1.2979059219360352)))) + ((x1) * (((x1) * (0.4271978216173871)) + (-1.3422309160232544)))))),saturated,1507.013041,47,13,37,10,177,192,78,2,94,(0.0019190539605916 + ((18.301775890134767 * ((x1 * (x1 + -1.3333569413975992)) + 1.5873269702501889)) * (exp((3.060275077819824 * x0)) / exp((((x1 * ((0.4271978216173871 * x1) + -1.3422309160232544)) + exp(((0.4211926460266113 * x0) + 1.6726008653640747))) + exp((-1.2979059219360352 * x0))))))),saturated,167.868375,37,10,37,10,177,192,78,1,94,(0.0019190539605916 + ((((x1 * (x1 + -1.3333569413975992)) + 1.5873269702501887) * (exp((3.060275077819824 * x0)) * 18.301775890134763)) / exp(((exp(((x0 * 0.4211926460266113) + 1.6726008653640747)) + exp((x0 * -1.2979059219360352))) + (x1 * ((x1 * 0.4271978216173871) + -1.3422309160232544)))))) -kotanchek,122,Operon,Operon,3,1,kept,11.0,10.0,egglog-baseline,((-0.0000014371197494) + (1.0000287294387817 * ((((((0.0082893725484610 * x1) - (-0.0444908216595650)) / exp(log((exp((0.3769945502281189 * x1)) + ((-0.9402246475219727) * x1))))) - (exp((0.0002179348812206 * x1)) + (-1.0048899650573730))) / exp(((0.3332124650478363 * x0) * (3.0010888576507568 * x0)))) / exp(((-2.0000004768371582) * x0))))),(-1.4371197494e-6) + ((1.0000287294387817) * (((((((8.289372548461e-3) * (x1)) - (-4.4490821659565e-2)) / ((exp((x1) * (0.3769945502281189))) + ((x1) * (-0.9402246475219727)))) - ((exp((x1) * (2.179348812206e-4))) + (-1.004889965057373))) / (exp((1.0000002160854038) * ((x0) * (x0))))) / (exp((x0) * (-2.000000476837158))))),saturated,205.975458,41,11,37,10,187,205,91,2,94,(-1.4371197494e-06 + (((((0.008289372548461 * x1) + 0.044490821659565) / (exp((0.3769945502281189 * x1)) + (-0.9402246475219727 * x1))) - (exp((0.0002179348812206 * x1)) + -1.004889965057373)) * ((1.0000287294387817 / exp((1.0000002160854038 * (x0 * x0)))) / exp((-2.000000476837158 * x0))))),saturated,204.774917,37,10,37,10,187,205,91,2,94,(-1.4371197494e-06 + (((((0.008289372548461 * x1) + 0.044490821659565) / (exp((x1 * 0.3769945502281189)) + (x1 * -0.9402246475219727))) - (exp((x1 * 0.0002179348812206)) + -1.004889965057373)) * ((1.0000287294387817 / exp((1.0000002160854038 * (x0 * x0)))) / exp((x0 * -2.000000476837158))))) -kotanchek,123,Operon,Operon,4,1,kept,12.0,10.0,egglog-baseline,(0.0000182324292837 + (0.9999566078186035 * ((((exp(((-1.0928704738616943) * x0)) + (2.6822447776794434 * x0)) / (7.4495120048522949 - ((((-3.5652680397033691) * x1) - (-17.8263320922851562)) * (0.2804658412933350 * x1)))) / (exp(exp((0.5965437889099121 * x0))) + ((-1.4266524314880371) * x0))) / (exp((0.4577265381813049 * x0)) + ((-0.9410613179206848) * x0))))),(1.82324292837e-5) + (((exp((-1.0928704738616943) * (x0))) + ((x0) * (2.6822447776794434))) * ((((-1.0000207089543989) / ((-7.449989547754554) - ((x1) * ((x1) - (4.999997726333168))))) / ((exp(exp((x0) * (0.5965437889099121)))) + ((x0) * (-1.426652431488037)))) / ((exp((x0) * (0.4577265381813049))) + ((x0) * (-0.9410613179206848))))),saturated,9983.347542,43,12,39,10,292,305,99,2,97,(1.82324292837e-05 + ((-1.0000207089543989 / (exp((0.4577265381813049 * x0)) + (-0.9410613179206848 * x0))) * (((exp((-1.0928704738616943 * x0)) + (2.6822447776794434 * x0)) / (-7.449989547754554 - ((x1 + -4.999997726333168) * x1))) / (exp(exp((0.5965437889099121 * x0))) + (-1.426652431488037 * x0))))),saturated,215.342500,39,10,39,10,292,305,99,2,97,(1.82324292837e-05 + ((exp((-1.0928704738616943 * x0)) + (x0 * 2.6822447776794434)) * (((-1.0000207089543989 / (-7.449989547754554 - (x1 * (x1 + -4.999997726333168)))) / (exp(exp((x0 * 0.5965437889099121))) + (x0 * -1.426652431488037))) / (exp((x0 * 0.4577265381813049)) + (x0 * -0.9410613179206848))))) -kotanchek,124,Operon,Operon,5,1,kept,13.0,10.0,egglog-baseline,(0.0000468041762360 + (0.9997506737709045 * (exp(((-0.0447766110301018) * x0)) - (0.8708053827285767 + ((((4.6947760581970215 * x1) - exp((0.6812457442283630 * x1))) * ((-2.2019169330596924) * x1)) * (((exp(((-5.3575110435485840) * x0)) + (15.1773414611816406 * x0)) * exp(((-2.3313734531402588) * x0))) * ((((-0.0015166908269748) * x1) * (4.4051661491394043 * x0)) - ((-0.0298569388687611) * x0)))))))),(0.9997506737709045) * (((exp((-4.47766110301018e-2) * (x0))) - (((x0) * ((x1) + (-4.468748624763382))) * (((x1) * ((((x1) * (4.6947760581970215)) - (exp((x1) * (0.681245744228363)))) * (((exp((x0) * (-5.357511043548584))) + ((x0) * (15.17734146118164))) * (exp((x0) * (-2.331373453140259)))))) * (1.471161275443955e-2)))) + (-0.8707585668799217)),timeout,180000.000000,na,na,na,na,na,na,na,na,na,timeout,saturated,3698.784291,41,10,41,10,2148,2161,177,2,100,(0.9997506737709045 * ((exp((-0.0447766110301018 * x0)) + (-0.01471161275443955 * ((x0 * (x1 + -4.468748624763382)) * (x1 * (((x1 * 4.6947760581970215) - exp((x1 * 0.681245744228363))) * ((exp((x0 * -5.357511043548584)) + (x0 * 15.17734146118164)) * exp((x0 * -2.331373453140259)))))))) + -0.8707585668799217)) -kotanchek,125,Operon,Operon,6,1,kept,12.0,11.0,egglog-baseline,(0.0015015223762020 + (0.9966979622840881 * ((exp(1.7057397365570068) + ((2.2468583583831787 * x1) + (((2.7354996204376221 * x1) + ((-5.6414661407470703) * exp((0.1865983307361603 * x1)))) / exp(((-0.6834985017776489) * x1))))) * (((0.0036516967229545 * x1) - exp((1.9130901098251343 * x0))) / (exp(exp((0.7873576283454895 * x0))) + ((-2.2153601646423340) * x0)))))),(1.501522376202e-3) + ((((((x1) + ((exp((x1) * (0.1865983307361603))) * (-2.062316550365507))) / (exp((x1) * (-0.6834985017776489)))) + ((x1) * (0.8213703784114321))) + (2.0125964221487602)) * (((((x1) * (3.6516967229545e-3)) - (exp((1.9130901098251343) * (x0)))) / ((exp(exp((x0) * (0.7873576283454895)))) + ((x0) * (-2.215360164642334)))) * (2.7264668975190745))),saturated,388.745541,45,12,42,11,153,167,73,2,105,(0.001501522376202 + ((-5.622837806777284 * (((exp((0.1865983307361603 * x1)) + (-0.48489161366753747 * x1)) / exp((-0.6834985017776489 * x1))) + (-0.3982756082066352 * (x1 + 2.4502909710978544)))) * (((0.0036516967229545 * x1) - exp((1.9130901098251343 * x0))) / (exp(exp((0.7873576283454895 * x0))) + (-2.215360164642334 * x0))))),saturated,167.842166,42,11,42,11,171,186,79,1,105,(0.001501522376202 + (((((x1 + (exp((x1 * 0.1865983307361603)) * -2.062316550365507)) / exp((x1 * -0.6834985017776489))) + (x1 * 0.8213703784114321)) + 2.0125964221487602) * ((((x1 * 0.0036516967229545) - exp((1.9130901098251343 * x0))) / (exp(exp((x0 * 0.7873576283454895))) + (x0 * -2.215360164642334))) * 2.7264668975190745))) -kotanchek,126,Operon,Operon,7,1,kept,12.0,10.0,egglog-baseline,((-0.0000124719463201) + (0.9946426749229431 * (exp(((exp(exp(((1.1653105020523071 * x1) - exp((0.4197142422199249 * x1))))) - ((0.9311969876289368 * x0) * (1.0738922357559204 * x0))) - (((-1.9999958276748657) * x0) - (-5.5033035278320312)))) * (exp((0.2837287485599518 * x1)) - ((-2.8964312076568604) - (((-0.2071333527565002) * x1) - exp(((-0.6339063644409180) * x1)))))))),(-1.24719463201e-5) + ((0.9946426749229431) * ((exp((exp(exp(((1.1653105020523071) * (x1)) - (exp((x1) * (0.4197142422199249)))))) + ((-5.503303527832031) + ((x0) * ((1.9999958276748657) + ((x0) * (-1.000005214974017))))))) * ((exp((x1) * (0.2837287485599518))) - ((-2.8964312076568604) - (((x1) * (-0.2071333527565002)) - (exp((x1) * (-0.633906364440918)))))))),saturated,758.030042,45,12,41,11,259,280,109,2,103,(-1.24719463201e-05 + (0.9946426749229431 * (exp((((x0 * (1.9999958276748657 + (-1.000005214974017 * x0))) + exp(exp(((1.1653105020523071 * x1) - exp((0.4197142422199249 * x1)))))) + -5.503303527832031)) * (exp((0.2837287485599518 * x1)) - (-2.8964312076568604 - ((-0.2071333527565002 * x1) - exp((-0.633906364440918 * x1)))))))),saturated,171.124417,41,11,41,11,259,280,109,1,103,(-1.24719463201e-05 + (0.9946426749229431 * (exp((exp(exp(((1.1653105020523071 * x1) - exp((x1 * 0.4197142422199249))))) + (-5.503303527832031 + (x0 * (1.9999958276748657 + (x0 * -1.000005214974017)))))) * (exp((x1 * 0.2837287485599518)) - (-2.8964312076568604 - ((x1 * -0.2071333527565002) - exp((x1 * -0.633906364440918)))))))) 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(0.2937204837799072))))))))),timeout,180000.000000,na,na,na,na,na,na,na,na,na,timeout,saturated,161.765750,41,11,41,11,115,129,67,1,103,(3.4507245346e-06 + (0.9999927282333374 * exp((((-1.000031995264962 * (x0 * (x0 + -1.9999913386701804))) - (x1 * (0.7100588083267212 + (-0.8767948746681213 / ((x1 * -0.3692416250705719) + exp((x1 * 0.4968747496604919))))))) - exp(((1.4052648544311523 - exp((x1 * 0.1799458712339401))) * exp(exp((x1 * 0.2937204837799072))))))))) -kotanchek,129,Operon,Operon,10,1,kept,13.0,12.0,egglog-baseline,((-0.0019379730802029) + (1.0046592950820923 * ((((996.6720581054687500 + ((-386.7166748046875000) * x0)) + exp((1.7618920803070068 * x0))) - (((1074.8041992187500000 * x0) + 882.8044433593750000) * exp(((-1.9537824392318726) * x0)))) / (((((-15.7029571533203125) * x1) * ((-22.8576602935791016) * x1)) + 2638.8918457031250000) + (exp((2.8161077499389648 * x0)) - (1794.9840087890625000 * x1)))))),(-1.9379730802029e-3) + ((1.0046592950820923) * (((((996.6720581054688) + ((-386.7166748046875) * (x0))) + (exp((x0) * (1.7618920803070068)))) - ((((x0) * (1074.80419921875)) + (882.804443359375)) * (exp((x0) * (-1.9537824392318726))))) / ((2638.891845703125) + ((exp((x0) * (2.816107749938965))) + ((x1) * ((358.9328602152236) * ((x1) + (-5.000890717313407)))))))),saturated,378.304375,44,13,40,12,287,308,113,2,107,(-0.0019379730802029 + (1.0046592950820923 * ((((996.6720581054688 + (-386.7166748046875 * x0)) + exp((1.7618920803070068 * x0))) + (-1074.80419921875 * (exp((-1.9537824392318726 * x0)) * (x0 + 0.8213630389619475)))) / (((x1 * ((358.9328602152236 * x1) + -1794.9840087890625)) + exp((2.816107749938965 * x0))) + 2638.891845703125)))),saturated,209.184791,40,12,40,12,282,302,110,2,107,(-0.0019379730802029 + (1.0046592950820923 * ((((996.6720581054688 + (-386.7166748046875 * x0)) + exp((x0 * 1.7618920803070068))) + (-1074.80419921875 * (exp((x0 * -1.9537824392318726)) * (x0 + 0.8213630389619475)))) / (2638.891845703125 + (exp((x0 * 2.816107749938965)) + (x1 * (358.9328602152236 * (x1 + -5.000890717313407)))))))) -kotanchek,130,Operon,Operon,11,1,kept,13.0,10.0,egglog-baseline,(0.0006644097738899 + (0.9983761310577393 * ((((exp((0.3564732372760773 * x1)) * ((2.8750302791595459 * x1) + (-16.9938793182373047))) + (8.4957685470581055 + 8.5495948791503906)) + (3.2266986370086670 * x1)) / exp((((((-0.4841774106025696) * x0) + 0.9682721495628357) * ((-2.0647206306457520) * x0)) + ((0.0918822064995766 * x1) * ((3.7386786937713623 * x1) + (-3.2311415672302246)))))))),(6.644097738899e-4) + ((0.9983761310577393) * (((((exp((0.3564732372760773) * (x1))) * (((x1) * (2.875030279159546)) + (-16.993879318237305))) + (17.045363426208496)) + ((x1) * (3.226698637008667))) / (exp(((0.9996910885637647) * ((x0) * ((x0) + (-1.999829253408992)))) + ((0.34351804777666756) * ((x1) * ((x1) + (-0.8642469256888284)))))))),timeout,180000.000000,na,na,na,na,na,na,na,na,na,timeout,saturated,231.067792,37,11,35,10,182,198,83,2,92,(0.0006644097738899 + ((2.8703616067811595 * ((exp((0.3564732372760773 * x1)) * (x1 + -5.9108522930774505)) + (5.928759620295668 + (1.1223181405769138 * x1)))) / exp(((0.9996910885637647 * (x0 * (x0 + -1.999829253408992))) + (0.34351804777666756 * (x1 * (x1 + -0.8642469256888284))))))) -kotanchek,131,Operon,Operon,12,1,kept,14.0,12.0,egglog-baseline,((-0.0007296766270883) + (1.0011714696884155 * (((((-796.1662597656250000) * x0) - (-3327.3220214843750000)) + ((((-416.2025756835937500) * x0) + 5066.6352539062500000) / ((1.3030259609222412 * x0) - exp((0.6703483462333679 * x0))))) / (((-34525.6953125000000000) - exp((2.9498600959777832 * x0))) - ((((-0.1925518661737442) * x0) + ((-19.2132587432861328) * x1)) * (((-239.9505157470703125) * x1) + 1202.1625976562500000)))))),(-7.296766270883e-4) + ((((x0) - (4.179179889466643)) + ((((x0) + (-12.173483658971914)) / (((x0) * (1.3030259609222412)) - (exp((x0) * (0.6703483462333679))))) * (0.522758369346266))) * ((-797.0989444058796) / (((-34525.6953125) - (exp((x0) * (2.949860095977783)))) + ((((x1) + (-5.010043816381869)) * ((x0) + ((x1) * (99.7822515308657)))) * (-46.20291959645079))))),saturated,264.814416,45,14,41,12,142,158,76,2,109,(-0.0007296766270883 + ((-416.69014438524755 / ((-34525.6953125 - exp((2.949860095977783 * x0))) + (-46.20291959645078 * ((x1 + -5.010043816381869) * (x0 + (99.7822515308657 * x1)))))) * ((((x0 + -12.173483658971914) / ((1.3030259609222412 * x0) - exp((0.6703483462333679 * x0)))) + (1.9129296796348707 * x0)) + -7.9944772470939185))),saturated,185.129208,41,12,41,12,150,166,78,2,109,(-0.0007296766270883 + (((x0 + -4.179179889466643) + (((x0 + -12.173483658971914) / ((x0 * 1.3030259609222412) - exp((x0 * 0.6703483462333679)))) * 0.522758369346266)) * (-797.0989444058796 / ((-34525.6953125 - exp((x0 * 2.949860095977783))) + (((x1 + -5.010043816381869) * (x0 + (x1 * 99.7822515308657))) * -46.20291959645079))))) -kotanchek,132,Operon,Operon,13,1,kept,12.0,10.0,egglog-baseline,(0.0036648171953857 + (0.9917431473731995 * (((0.7433260083198547 * x1) / ((exp(exp((0.5352578163146973 * x0))) * (exp((2.5961806774139404 * x1)) - (1.9263886213302612 - (297.5476074218750000 * x1)))) * exp(((-1.0667701959609985) * x1)))) / exp(((exp(((-0.1313982456922531) * x0)) * ((-6.9308919906616211) * x0)) - (((-4.3688435554504395) * x0) + 3.7469267845153809)))))),(3.6648171953857e-3) + (((x1) * ((0.7371884750154898) / (((exp(exp((0.5352578163146973) * (x0)))) * ((exp((x1) * (2.5961806774139404))) - ((1.9263886213302612) - ((x1) * (297.547607421875))))) * (exp((x1) * (-1.0667701959609985)))))) / (exp(((x0) * (((exp((x0) * (-0.1313982456922531))) * (-6.930891990661621)) + (4.3688435554504395))) + (-3.746926784515381)))),saturated,265.023750,45,12,41,11,227,247,104,2,103,(0.0036648171953857 + (((0.7371884750154898 * x1) / ((exp(exp((0.5352578163146973 * x0))) * ((exp((2.5961806774139404 * x1)) + -1.9263886213302612) + (297.547607421875 * x1))) * exp((-1.0667701959609985 * x1)))) / exp(((x0 * (4.3688435554504395 + (exp((-0.1313982456922531 * x0)) * -6.930891990661621))) + -3.746926784515381)))),saturated,200.223084,41,11,41,11,227,247,104,2,103,(0.0036648171953857 + (((x1 * 0.7371884750154898) / ((exp(exp((0.5352578163146973 * x0))) * ((exp((x1 * 2.5961806774139404)) + -1.9263886213302612) + (297.547607421875 * x1))) * exp((x1 * -1.0667701959609985)))) / exp(((x0 * ((exp((x0 * -0.1313982456922531)) * -6.930891990661621) + 4.3688435554504395)) + -3.746926784515381)))) -kotanchek,133,Operon,Operon,14,1,kept,14.0,11.0,egglog-baseline,((-0.0022257824894041) + (1.0057435035705566 * (((exp(((((-0.7701046466827393) * x1) - (-3.8445262908935547)) * (1.3931946754455566 * x1))) + (((15.1122426986694336 * x1) - (-13.2947568893432617)) * (((-2.5437910556793213) * x1) - (-15.1461124420166016)))) / (exp((2.8625166416168213 * x0)) + (((-3.6063053607940674) * x0) + 62.3201675415039062))) * ((0.0344910286366940 * x0) + 0.0158514883369207)))),(-2.2257824894041e-3) + (((exp((-1.072905693294274) * ((x1) * ((x1) - (4.992212821275688))))) + ((-38.442387808130434) * (((x1) - (-0.87973420983464)) * ((x1) - (5.954149578520246))))) * ((3.4689127982821026e-2) * (((x0) + (0.4595829397809482)) / ((exp((x0) * (2.8625166416168213))) + (((x0) * (-3.6063053607940674)) + (62.320167541503906)))))),saturated,217.416625,43,14,37,11,184,199,79,2,99,(-0.0022257824894041 + ((exp(((-1.072905693294274 * x1) * (x1 + -4.992212821275688))) + (-38.442387808130434 * ((x1 + 0.87973420983464) * (x1 + -5.954149578520246)))) * (0.034689127982821026 * ((x0 + 0.4595829397809482) / (exp((2.8625166416168213 * x0)) + ((-3.6063053607940674 * x0) + 62.320167541503906)))))),saturated,191.303583,37,11,37,11,184,199,79,2,99,(-0.0022257824894041 + ((exp((-1.072905693294274 * (x1 * (x1 + -4.992212821275688)))) + (-38.442387808130434 * ((x1 + 0.87973420983464) * (x1 + -5.954149578520246)))) * (0.034689127982821026 * ((x0 + 0.4595829397809482) / (exp((x0 * 2.8625166416168213)) + ((x0 * -3.6063053607940674) + 62.320167541503906)))))) 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(x0 + 0.5782157005654891)) + (-0.21941380240422573 + (-4.06125147334379 * x0)))) * ((exp((0.1231540888547897 * x1)) / (exp((2.4178924560546875 * x0)) + 42.579288482666016)) / (exp((0.376332700252533 * x1)) + (-0.9377985596656799 * x1))))),saturated,208.625959,43,12,43,12,311,327,100,2,111,(0.0003700088418555 + (((x0 + 0.05402615519978467) + ((((x0 * 1.0232990980148315) - exp((x0 * -4.979659080505371))) * (x0 + 0.5782157005654891)) * -0.24622951978313723)) * (((exp((0.1231540888547897 * x1)) / (exp((x0 * 2.4178924560546875)) + 42.579288482666016)) / (exp((x1 * 0.376332700252533)) + (-0.9377985596656799 * x1))) * 10.84005657269455))) -kotanchek,135,Operon,Operon,16,1,kept,12.0,11.0,egglog-baseline,((-0.0158226937055588) + (1.0497971773147583 * (((exp(((-0.3585180342197418) * x1)) - ((((exp((1.7362647056579590 * x1)) - (-7144.3906250000000000)) + ((-3211.7934570312500000) * x1)) / (exp((3.3592488765716553 * x1)) - (-8749.7304687500000000))) - (-252.0166625976562500))) - (-251.8914642333984375)) / (exp((0.7833101749420166 * x0)) + log(exp(((-1.7847769260406494) * x0))))))),(-1.58226937055588e-2) + ((1.0497971773147583) * ((((exp((-0.3585180342197418) * (x1))) - ((((exp((x1) * (1.736264705657959))) - (-7144.390625)) + ((x1) * (-3211.79345703125))) / ((exp((x1) * (3.3592488765716553))) - (-8749.73046875)))) + (-0.1251983642578125)) / ((exp((0.7833101749420166) * (x0))) + ((x0) * (-1.7847769260406494))))),saturated,185.545709,41,12,37,11,125,140,70,2,98,(-0.0158226937055588 + ((-0.1251983642578125 + (exp((-0.3585180342197418 * x1)) - (((exp((1.736264705657959 * x1)) + 7144.390625) + (-3211.79345703125 * x1)) / (exp((3.3592488765716553 * x1)) + 8749.73046875)))) * (1.0497971773147583 / (exp((0.7833101749420166 * x0)) + (-1.7847769260406494 * x0))))),saturated,182.994708,37,11,37,11,125,140,70,2,98,(-0.0158226937055588 + (((exp((-0.3585180342197418 * x1)) - (((exp((x1 * 1.736264705657959)) + 7144.390625) + (x1 * -3211.79345703125)) / (exp((x1 * 3.3592488765716553)) + 8749.73046875))) + -0.1251983642578125) * (1.0497971773147583 / (exp((0.7833101749420166 * x0)) + (x0 * -1.7847769260406494))))) -kotanchek,136,Operon,Operon,17,1,kept,11.0,8.0,egglog-baseline,((-0.0000000143612136) + (1.0000000000000000 * (((0.0493797957897186 - (0.0001029339036904 * x0)) / (exp(((-0.0000001355219865) * x0)) + (((-0.0032123271375895) * x1) * (((-41.7853355407714844) * x1) + 208.9266815185546875)))) / exp((((-1.8152447938919067) * x0) * (1.1029279232025146 - (0.5508886575698853 * x0))))))),(-1.43612136e-8) + ((((4.93797957897186e-2) - ((1.029339036904e-4) * (x0))) / ((exp((x0) * (-1.355219865e-7))) + ((0.13422816731090328) * ((x1) * ((x1) + (-5.000000091292728)))))) / (exp((-0.9999977676678355) * ((x0) * ((2.0020886399582447) - (x0)))))),saturated,243.473583,35,11,29,8,149,161,66,2,75,(-1.43612136e-08 + (((0.0493797957897186 + (-0.0001029339036904 * x0)) / (exp((-1.355219865e-07 * x0)) + ((0.13422816731090328 * x1) * (x1 + -5.000000091292728)))) / exp(((-0.9999977676678355 * x0) * (2.0020886399582447 - x0))))),saturated,174.843583,29,8,29,8,215,231,90,1,75,(-1.43612136e-08 + (((0.0493797957897186 - (0.0001029339036904 * x0)) / (exp((x0 * -1.355219865e-07)) + (0.13422816731090328 * (x1 * (x1 + -5.000000091292728))))) / exp((-0.9999977676678355 * (x0 * (2.0020886399582447 - x0)))))) -kotanchek,137,Operon,Operon,18,1,kept,13.0,11.0,egglog-baseline,((-0.0000026597272154) + (1.0000067949295044 * ((exp(((1.3812974691390991 * x0) * (((-0.7240105271339417) * x0) + 1.4479488134384155))) * (((-0.0016091535799205) * x1) - (-0.0074326260946691))) * (exp((1.1061540842056274 * x1)) - ((((-4.3172826766967773) * x1) + (-5.3209042549133301)) - exp((((3.6427340507507324 * x1) - 0.0311711747199297) - exp((0.6457238197326660 * x1))))))))),(-2.6597272154e-6) + ((exp((-1.0000739087601787) * ((x0) * ((x0) + (-1.9999002212996078))))) * (((exp((x1) * (1.1061540842056274))) - ((((x1) * (-4.317282676696777)) + (-5.32090425491333)) - (exp((((x1) * (3.6427340507507324)) - (3.11711747199297e-2)) - (exp((x1) * (0.645723819732666))))))) * (((x1) - (4.618966261154704)) * (-1.6091645140056373e-3)))),saturated,226.124167,43,13,39,11,234,250,89,2,101,(-2.6597272154e-06 + (((-0.0016091645140056373 * (x1 + -4.618966261154704)) * exp(((-1.0000739087601787 * x0) * (x0 + -1.9999002212996078)))) * (((exp((1.1061540842056274 * x1)) + (4.317282676696777 * x1)) + 5.32090425491333) + exp((((3.6427340507507324 * x1) + -0.0311711747199297) - exp((0.645723819732666 * x1))))))),saturated,191.927208,39,11,39,11,234,250,89,2,101,(-2.6597272154e-06 + (exp((-1.0000739087601787 * (x0 * (x0 + -1.9999002212996078)))) * ((((exp((x1 * 1.1061540842056274)) + (4.317282676696777 * x1)) + 5.32090425491333) + exp((((x1 * 3.6427340507507324) + -0.0311711747199297) - exp((x1 * 0.645723819732666))))) * ((x1 + -4.618966261154704) * -0.0016091645140056373)))) -kotanchek,138,Operon,Operon,19,1,kept,12.0,12.0,egglog-baseline,(0.0034536698367447 + (0.9867714047431946 * ((((((-0.6941707730293274) * x1) + exp((0.2583339512348175 * x1))) * (((-0.6002479791641235) * x1) + exp((0.2208170741796494 * x1)))) * (exp(((-0.8911798000335693) * x0)) - (0.7564386129379272 + ((-1.2858601808547974) * x0)))) / exp(((((-2.1546506881713867) * x1) + exp((0.6885151863098145 * x0))) + exp(((-1.0648982524871826) * x0))))))),(3.4536698367447e-3) + ((0.9867714047431946) * ((((((-0.6941707730293274) * (x1)) + (exp((x1) * (0.2583339512348175)))) * (((x1) * (-0.6002479791641235)) + (exp((x1) * (0.2208170741796494))))) * ((exp((-0.8911798000335693) * (x0))) - ((0.7564386129379272) + ((x0) * (-1.2858601808547974))))) / (exp((((x1) * (-2.1546506881713867)) + (exp((x0) * (0.6885151863098145)))) + (exp((x0) * (-1.0648982524871826))))))),saturated,201.123292,47,12,47,12,328,344,101,2,116,(0.0034536698367447 + (0.9867714047431946 * (((((-0.6941707730293274 * x1) + exp((0.2583339512348175 * x1))) * ((-0.6002479791641235 * x1) + exp((0.2208170741796494 * x1)))) * ((exp((-0.8911798000335693 * x0)) + -0.7564386129379272) + (1.2858601808547974 * x0))) / exp((((-2.1546506881713867 * x1) + exp((0.6885151863098145 * x0))) + exp((-1.0648982524871826 * x0))))))),saturated,201.740916,47,12,47,12,328,344,101,2,116,(0.0034536698367447 + (0.9867714047431946 * (((((-0.6941707730293274 * x1) + exp((x1 * 0.2583339512348175))) * ((x1 * -0.6002479791641235) + exp((x1 * 0.2208170741796494)))) * ((exp((-0.8911798000335693 * x0)) + -0.7564386129379272) + (1.2858601808547974 * x0))) / exp((((x1 * -2.1546506881713867) + exp((x0 * 0.6885151863098145))) + exp((x0 * -1.0648982524871826))))))) -kotanchek,139,Operon,Operon,20,1,kept,13.0,10.0,egglog-baseline,(0.0004888178664260 + (0.9988220334053040 * (exp((((((-5.1766362190246582) - (0.0070227989926934 * x0)) + (1.1790944337844849 * x1)) * ((-0.3277454376220703) * x1)) + (exp(((6.3319468498229980 * x1) * ((-0.0836486071348190) * x1))) * ((-1.0949771404266357) * x1)))) / (6.3024258613586426 / (0.0139735620468855 + exp(((2.2476174831390381 * x0) - exp((0.8711588978767395 * x0))))))))),(4.88817866426e-4) + ((0.998822033405304) * ((exp((x1) * (((((-737.1186651377163) - (x0)) + ((x1) * (167.89522738885566))) * (-2.301690329192133e-3)) + ((exp((-0.5296585344393987) * ((x1) * (x1)))) * (-1.0949771404266357))))) / ((6.302425861358643) / ((1.39735620468855e-2) + (exp(((x0) * (2.247617483139038)) - (exp((x0) * (0.8711588978767395))))))))),timeout,180000.000000,na,na,na,na,na,na,na,na,na,timeout,saturated,194.945917,39,11,39,11,187,205,92,2,101,(0.000488817866426 + (exp((x1 * ((((-737.1186651377163 - x0) + (x1 * 167.89522738885566)) * -0.002301690329192133) + (exp((-0.5296585344393987 * (x1 * x1))) * -1.0949771404266357)))) * (0.998822033405304 / (6.302425861358643 / (0.0139735620468855 + exp(((x0 * 2.247617483139038) - exp((x0 * 0.8711588978767395))))))))) -kotanchek,140,Operon,Operon,21,1,kept,14.0,8.0,egglog-baseline,(0.0000354178737325 + (0.9998701810836792 * (((21.8554801940917969 * x1) - ((21.8578433990478516 * x1) - 0.0542484000325203)) * exp(((((-1.2365419864654541) - ((-0.6182689070701599) * x0)) * ((-1.6172654628753662) * x0)) - (exp(((((-0.0128339584916830) * x1) - (0.0000608815898886 * x1)) - ((((-1.6681232452392578) * x1) - (-6.2428498268127441)) * ((-0.1763334870338440) * x1)))) * ((-0.3036648035049438) * x1))))))),(3.54178737325e-5) + ((exp(((-0.999904950174269) * ((x0) * ((x0) + (-2.0000067483987736)))) - ((exp((x1) * ((-0.29414598863525043) * ((x1) + (-3.6986009700714013))))) * ((x1) * (-0.3036648035049438))))) * (((x1) + (-22.955435961460857)) * (-2.3628981673482485e-3))),timeout,180000.000000,na,na,na,na,na,na,na,na,na,timeout,saturated,225.724542,29,8,29,8,162,175,70,2,75,(3.54178737325e-05 + (exp(((-0.999904950174269 * (x0 * (x0 + -2.0000067483987736))) + (0.3036648035049438 * (exp((x1 * (-0.29414598863525043 * (x1 + -3.6986009700714013)))) * x1)))) * ((x1 + -22.955435961460857) * -0.0023628981673482485))) -kotanchek,141,Operon,Operon,22,1,kept,13.0,10.0,egglog-baseline,(0.0000054139832173 + (0.9996626973152161 * (exp(((((-0.1160286292433739) * x0) * ((-17.2363529205322266) + (8.6183118820190430 * x0))) + exp((exp((((1.4520825147628784 * x1) + (-7.2530150413513184)) * ((-0.1153997406363487) * x1))) + (-2.4340145587921143))))) * (exp((((1.4263883829116821 * x1) + (-7.1799330711364746)) * ((-0.0031533578876406) * x1))) + (-0.9611204862594604))))),(5.4139832173e-6) + ((0.9996626973152161) * ((exp(((-0.9999709140625515) * ((x0) * ((x0) + (-1.999968573485206)))) + (exp((exp((-0.16756994558621316) * ((x1) * ((x1) + (-4.99490557018085))))) + (-2.4340145587921143))))) * ((exp((-4.497913058093474e-3) * ((x1) * ((x1) + (-5.033645223946721))))) + (-0.9611204862594604)))),saturated,186.746916,41,13,35,10,136,149,66,2,91,(5.4139832173e-06 + (0.9996626973152161 * (exp((((-0.9999709140625515 * x0) * (x0 + -1.999968573485206)) + exp((exp(((-0.16756994558621316 * x1) * (x1 + -4.99490557018085))) + -2.4340145587921143)))) * (exp(((-0.004497913058093474 * x1) * (x1 + -5.033645223946721))) + -0.9611204862594604)))),saturated,153.588458,35,10,35,10,136,149,66,1,91,(5.4139832173e-06 + (0.9996626973152161 * (exp(((-0.9999709140625515 * (x0 * (x0 + -1.999968573485206))) + exp((exp((-0.16756994558621316 * (x1 * (x1 + -4.99490557018085)))) + -2.4340145587921143)))) * (exp((-0.004497913058093474 * (x1 * (x1 + -5.033645223946721)))) + -0.9611204862594604)))) -kotanchek,142,Operon,Operon,23,1,kept,11.0,10.0,egglog-baseline,(0.0008338154293597 + (0.9979702830314636 * ((exp(exp(exp(((0.0654336437582970 + ((-0.0385530032217503) * x1)) * ((-17.4296455383300781) + (5.2765936851501465 * x1)))))) * (exp(((-0.6076733469963074) * x0)) + ((-0.9865196943283081) + (0.7046096920967102 * x0)))) * exp((exp(((-4.4563603401184082) * x0)) - exp((0.6908147931098938 * x0))))))),(8.338154293597e-4) + ((0.9979702830314636) * ((exp(exp(exp((-0.2034285333434609) * (((x1) + (-1.697238562244654)) * ((x1) + (-3.3032002421149307))))))) * (((exp((-0.6076733469963074) * (x0))) + ((-0.9865196943283081) + ((x0) * (0.7046096920967102)))) * (exp((exp((x0) * (-4.456360340118408))) - (exp((x0) * (0.6908147931098938)))))))),saturated,184.257292,40,11,38,10,181,195,77,2,94,(0.0008338154293597 + (0.9979702830314636 * ((exp(exp(exp((-0.2034285333434609 * ((x1 + -1.697238562244654) * (x1 + -3.3032002421149307)))))) * (exp((-0.6076733469963074 * x0)) + (-0.9865196943283081 + (0.7046096920967102 * x0)))) * exp((exp((-4.456360340118408 * x0)) - exp((0.6908147931098938 * x0))))))),saturated,156.312875,38,10,38,10,181,195,77,1,94,(0.0008338154293597 + (0.9979702830314636 * (exp(exp(exp((-0.2034285333434609 * ((x1 + -1.697238562244654) * (x1 + -3.3032002421149307)))))) * ((exp((-0.6076733469963074 * x0)) + (-0.9865196943283081 + (x0 * 0.7046096920967102))) * exp((exp((x0 * -4.456360340118408)) - exp((x0 * 0.6908147931098938)))))))) -kotanchek,143,Operon,Operon,24,1,kept,11.0,10.0,egglog-baseline,(0.0000109874044938 + (0.9998849630355835 * (exp(((227.2529296875000000 * x0) * ((-0.0044004078954458) * x0))) * (((exp((0.0044344896450639 * x1)) - 0.9905131459236145) * exp(((1.9999943971633911 * x0) - (0.0865126922726631 * x1)))) * (exp(((-0.2363450229167938) * x1)) + exp(exp(exp(((1.1673830747604370 * x1) - exp((0.4206682443618774 * x1))))))))))),(1.09874044938e-5) + ((0.9998849630355835) * ((exp((-1.0000055860600643) * ((x0) * (x0)))) * ((((exp((4.4344896450639e-3) * (x1))) - (0.9905131459236145)) * (exp(((x0) * (1.9999943971633911)) - ((x1) * (8.65126922726631e-2))))) * ((exp((x1) * (-0.2363450229167938))) + (exp(exp(exp(((x1) * (1.167383074760437)) - (exp((x1) * (0.4206682443618774))))))))))),saturated,223.158708,45,11,43,10,329,344,97,2,101,(1.09874044938e-05 + (0.9998849630355835 * (exp((-1.0000055860600643 * (x0 * x0))) * (((exp((0.0044344896450639 * x1)) + -0.9905131459236145) * exp(((1.9999943971633911 * x0) + (-0.0865126922726631 * x1)))) * (exp((-0.2363450229167938 * x1)) + exp(exp(exp(((1.167383074760437 * x1) - exp((0.4206682443618774 * x1))))))))))),saturated,200.735833,43,10,43,10,329,344,97,2,101,(1.09874044938e-05 + (0.9998849630355835 * (exp((-1.0000055860600643 * (x0 * x0))) * (((exp((0.0044344896450639 * x1)) + -0.9905131459236145) * exp(((x0 * 1.9999943971633911) + (-0.0865126922726631 * x1)))) * (exp((x1 * -0.2363450229167938)) + exp(exp(exp(((x1 * 1.167383074760437) - exp((x1 * 0.4206682443618774))))))))))) -kotanchek,144,Operon,Operon,25,1,kept,13.0,13.0,egglog-baseline,((-0.0021912427619100) + (1.0060203075408936 * ((((-1.9571648836135864) + ((-0.1280445605516434) * x1)) + (((-4.9479722976684570) * x0) + (((exp(((-25.1299152374267578) * x0)) - ((-1013.9223632812500000) + ((-2498.2419433593750000) * x0))) / ((-763.4477539062500000) - exp((2.6487932205200195 * x1)))) / exp(((-1.3105899095535278) * x1))))) / ((-64.6880645751953125) - exp((2.9050159454345703 * x0)))))),(-2.19124276191e-3) + ((1.0060203075408936) * ((((-1.9571648836135869) + ((-0.1280445605516434) * (x1))) + (((-4.947972297668457) * (x0)) + ((((exp((x0) * (-25.129915237426758))) - ((-1013.9223632812502) + ((x0) * (-2498.241943359375)))) / ((-763.44775390625) - (exp((x1) * (2.6487932205200195))))) / (exp((x1) * (-1.3105899095535278)))))) / ((-64.68806457519531) - (exp((x0) * (2.9050159454345703)))))),saturated,195.646333,43,13,43,13,256,277,109,2,115,(-0.00219124276191 + (((-1.9571648836135864 + (-0.1280445605516434 * x1)) + ((-4.947972297668457 * x0) + ((((exp((-25.129915237426758 * x0)) + 1013.92236328125) + (2498.241943359375 * x0)) / (-763.44775390625 - exp((2.6487932205200195 * x1)))) / exp((-1.3105899095535278 * x1))))) * (1.0060203075408936 / (-64.68806457519531 - exp((2.9050159454345703 * x0)))))),saturated,192.507916,43,13,43,13,256,277,109,2,115,(-0.00219124276191 + (((-1.9571648836135869 + (-0.1280445605516434 * x1)) + ((-4.947972297668457 * x0) + ((((exp((x0 * -25.129915237426758)) + 1013.9223632812502) + (2498.241943359375 * x0)) / (-763.44775390625 - exp((x1 * 2.6487932205200195)))) / exp((x1 * -1.3105899095535278))))) * (1.0060203075408936 / (-64.68806457519531 - exp((x0 * 2.9050159454345703)))))) -kotanchek,145,Operon,Operon,26,1,kept,14.0,9.0,egglog-baseline,((-0.0000017344426624) + (1.0000044107437134 * (exp((exp(((1.8745909929275513 - (0.6161273121833801 * x1)) * ((-0.4286146163940430) - (1.4141622781753540 - (0.9453756809234619 * x1))))) - (((0.6846604943275452 * x0) - 1.3692940473556519) * (1.4605207443237305 * x0)))) * ((1.0031132698059082 - ((-0.9088089466094971) * x1)) * (0.0477729775011539 - (0.0077679147943854 * x1)))))),(-1.7344426624e-6) + ((exp((exp((0.5824717772909054) * (((3.0425383777981425) - (x1)) * ((x1) + (-1.9492535420091783))))) + ((x0) * (((x0) - (1.999960650132932)) * (-0.9999608547843195))))) * (((6.150038815524071) - (x1)) * (((-1.1037669397382512) - (x1)) * (-7.059581599505541e-3)))),saturated,4254.025375,41,14,31,9,155,167,64,2,82,(-1.7344426624e-06 + ((-0.007059581599505541 * ((-1.103766939738251 - x1) * (6.150038815524072 - x1))) * exp((exp((0.5824717772909054 * ((-1.9492535420091786 + x1) * (3.042538377798143 - x1)))) + (-0.9999608547843195 * ((x0 + -1.9999606501329321) * x0)))))),saturated,180.612917,31,9,31,9,155,167,64,2,82,(-1.7344426624e-06 + (exp((exp((0.5824717772909054 * ((3.0425383777981425 - x1) * (x1 + -1.9492535420091783)))) + (x0 * ((x0 + -1.999960650132932) * -0.9999608547843195)))) * ((6.150038815524071 - x1) * ((-1.1037669397382512 - x1) * -0.007059581599505541)))) -kotanchek,146,Operon,Operon,27,1,kept,13.0,11.0,egglog-baseline,((-0.0020811073482037) + (0.9979038834571838 * ((((((-0.0209705717861652) * x1) - ((0.0227618105709553 * x0) + 0.0106864003464580)) * exp((0.0658860057592392 * x0))) + (0.0203825030475855 * x1)) * ((40.4724655151367188 / ((-62.7512664794921875) - exp((2.9289722442626953 * x0)))) / (exp((0.1633399575948715 * x1)) + ((-0.8682605624198914) - (0.2447641491889954 * x1))))))),(-2.0811073482037e-3) + (((-0.8469517048965315) / ((-62.75126647949219) - (exp((x0) * (2.9289722442626953))))) * ((((exp((x0) * (6.58860057592392e-2))) * (((x1) - ((x0) * (-1.0854167832453585))) + (0.5095903180621941))) + ((x1) * (-0.9719574294599034))) / ((exp((x1) * (0.1633399575948715))) + ((-0.8682605624198914) - ((x1) * (0.2447641491889954)))))),saturated,2180.331375,42,13,38,11,180,196,84,2,100,(-0.0020811073482037 + (((-0.8469517048965315 / (-62.75126647949219 - exp((2.9289722442626953 * x0)))) * ((exp((0.0658860057592392 * x0)) * ((x1 + (1.0854167832453585 * x0)) + 0.5095903180621942)) + (-0.9719574294599034 * x1))) / (exp((0.1633399575948715 * x1)) + (-0.8682605624198914 + (-0.2447641491889954 * x1))))),saturated,184.808875,38,11,38,11,180,196,84,2,100,(-0.0020811073482037 + ((-0.8469517048965315 / (-62.75126647949219 - exp((x0 * 2.9289722442626953)))) * (((exp((x0 * 0.0658860057592392)) * ((x1 + (1.0854167832453585 * x0)) + 0.5095903180621941)) + (x1 * -0.9719574294599034)) / (exp((x1 * 0.1633399575948715)) + (-0.8682605624198914 + (-0.2447641491889954 * x1)))))) -kotanchek,147,Operon,Operon,28,1,kept,12.0,11.0,egglog-baseline,(0.0014168095076457 + (0.9966097474098206 * (((4.5074963569641113 * x0) + exp(((-2.2596077919006348) * x0))) * ((((-0.0000623191444902) * x0) - exp(((0.5578119754791260 * x0) - exp((0.7266396284103394 * x0))))) * ((exp((1.8929998874664307 * x1)) * ((-0.0988849624991417) - ((-0.0229831431061029) * x1))) * (exp((0.2581167519092560 * x1)) + ((-0.6963179111480713) * x1))))))),(1.4168095076457e-3) + ((0.9966097474098206) * ((((4.507496356964111) * (x0)) + (exp((x0) * (-2.2596077919006348)))) * ((((x0) * (-6.23191444902e-5)) - (exp(((x0) * (0.557811975479126)) - (exp((x0) * (0.7266396284103394)))))) * (((exp((1.8929998874664307) * (x1))) * ((-9.88849624991417e-2) - ((x1) * (-2.29831431061029e-2)))) * ((exp((x1) * (0.258116751909256))) + ((x1) * (-0.6963179111480713))))))),saturated,5967.117625,46,12,44,11,755,769,118,2,108,(0.0014168095076457 + (((((0.022905224445656968 * (x1 + -4.302499533794574)) * (exp((0.258116751909256 * x1)) + (-0.6963179111480713 * x1))) * ((4.507496356964111 * x0) + exp((-2.2596077919006348 * x0)))) * exp((1.8929998874664307 * x1))) * ((-6.23191444902e-05 * x0) - exp(((0.557811975479126 * x0) - exp((0.7266396284103394 * x0))))))),saturated,6029.263417,46,12,44,11,755,769,118,2,108,(0.0014168095076457 + (((0.022905224445656968 * (x1 + -4.302499533794574)) * (((4.507496356964111 * x0) + exp((x0 * -2.2596077919006348))) * ((exp((x1 * 0.258116751909256)) + (x1 * -0.6963179111480713)) * exp((1.8929998874664307 * x1))))) * ((x0 * -6.23191444902e-05) - exp(((x0 * 0.557811975479126) - exp((x0 * 0.7266396284103394))))))) -kotanchek,148,Operon,Operon,29,1,kept,12.0,9.0,egglog-baseline,((-0.0000438776442024) + (1.0001060962677002 * (exp((((((-0.3045227825641632) * x1) * exp((0.5642136931419373 * x1))) - (4.0260410308837891 + ((-1.9999954700469971) * x0))) - (((-0.6665219664573669) * x0) * ((-1.5003671646118164) * x0)))) * (exp(exp((0.6489872336387634 * x1))) - (exp((1.3141704797744751 * x1)) * ((-0.1860205531120300) * exp((1.5301641225814819 * x1)))))))),(-4.38776442024e-5) + ((1.0001060962677002) * ((exp((((-0.3045227825641632) * (x1)) * (exp((x1) * (0.5642136931419373)))) + ((-4.02604103088379) + ((x0) * ((1.999995470046997) + ((x0) * (-1.0000276729651318))))))) * ((exp(exp((x1) * (0.6489872336387634)))) - ((exp((x1) * (1.314170479774475))) * ((-0.18602055311203) * (exp((x1) * (1.530164122581482)))))))),timeout,180000.000000,na,na,na,na,na,na,na,na,na,timeout,saturated,218.022042,41,11,41,11,278,299,116,2,103,(-4.38776442024e-05 + (1.0001060962677002 * (exp((((-0.3045227825641632 * x1) * exp((x1 * 0.5642136931419373))) + (-4.02604103088379 + (x0 * (1.999995470046997 + (x0 * -1.0000276729651318)))))) * (exp(exp((x1 * 0.6489872336387634))) + (0.18602055311203 * (exp((x1 * 1.314170479774475)) * exp((x1 * 1.530164122581482)))))))) -kotanchek,149,Operon,Operon,30,1,kept,11.0,11.0,egglog-baseline,(0.0002253897109767 + (0.9994593262672424 * (exp(exp((0.0994609072804451 * x1))) * (exp((((-0.5447754859924316) * x0) - exp((0.6602987051010132 * x0)))) * ((((-1.3688123226165771) + exp((0.1289836019277573 - exp((1.1763114929199219 * x0))))) + exp((0.6509695649147034 * x0))) / (((-0.9415363073348999) * x1) + exp((0.3773067891597748 * x1)))))))),(2.253897109767e-4) + ((0.9994593262672424) * ((exp(exp((9.94609072804451e-2) * (x1)))) * ((exp(((-0.5447754859924316) * (x0)) - (exp((x0) * (0.6602987051010132))))) * ((((-1.3688123226165771) + (exp((0.1289836019277573) - (exp((x0) * (1.1763114929199219)))))) + (exp((x0) * (0.6509695649147034)))) / (((x1) * (-0.9415363073348999)) + (exp((x1) * (0.3773067891597748)))))))),saturated,192.017000,43,11,43,11,300,314,91,2,105,(0.0002253897109767 + (0.9994593262672424 * (exp(exp((0.0994609072804451 * x1))) * (((-1.3688123226165771 + exp((0.1289836019277573 - exp((1.1763114929199219 * x0))))) + exp((0.6509695649147034 * x0))) * (exp(((-0.5447754859924316 * x0) - exp((0.6602987051010132 * x0)))) / ((-0.9415363073348999 * x1) + exp((0.3773067891597748 * x1)))))))),saturated,191.819708,43,11,43,11,300,314,91,2,105,(0.0002253897109767 + (0.9994593262672424 * (exp(exp((0.0994609072804451 * x1))) * (((-1.3688123226165771 + exp((0.1289836019277573 - exp((x0 * 1.1763114929199219))))) + exp((x0 * 0.6509695649147034))) * (exp(((-0.5447754859924316 * x0) - exp((x0 * 0.6602987051010132)))) / ((x1 * -0.9415363073348999) + exp((x1 * 0.3773067891597748)))))))) -kotanchek,150,SBP,SBP,1,1,kept,5.0,4.0,egglog-baseline,0.053829-0.000194*(((((exp(((x0+19.367000)-(x0*x0)))*exp((-13.819000+x0)))-(x1*exp(x1)))*(-1.237000-x1))+exp(x0))),(5.3829e-2) - ((1.94e-4) * (((((exp(((x0) + (19.367)) - ((x0) * (x0)))) * (exp((x0) + (-13.819)))) - ((x1) * (exp(x1)))) * ((-1.237) - (x1))) + (exp(x0)))),saturated,153.844416,29,5,29,5,101,112,55,1,62,(0.053829 - (0.000194 * ((((exp(((x0 + 19.367) - (x0 * x0))) * exp((-13.819 + x0))) - (x1 * exp(x1))) * (-1.237 - x1)) + exp(x0)))),saturated,153.973833,29,5,29,5,101,112,55,1,62,(0.053829 - (0.000194 * ((((exp(((x0 + 19.367) - (x0 * x0))) * exp((x0 + -13.819))) - (x1 * exp(x1))) * (-1.237 - x1)) + exp(x0)))) -kotanchek,151,SBP,SBP,2,1,kept,5.0,1.0,egglog-baseline,-0.000871-0.000000*((exp((((-13.691000*(-13.691000))-exp((1.294000-x1)))-(x0*x0)))*(((-5.521000+x1)*exp(x0))*exp(x0)))),-8.71e-4,saturated,181.255125,27,6,1,0,3,4,3,2,2,x1,saturated,149.280083,1,1,1,1,3,4,3,1,6,-0.000871 -kotanchek,152,SBP,SBP,3,1,kept,7.0,6.0,egglog-baseline,0.164127-0.000918*((((((17.900000-(9.729000*x1))+7.431000)-x0)-((x1+x0)*((exp((7.431000-exp(x0)))-2.295000)*x0)))*x0)),(0.164127) + (((((x1) * (-9.729)) + ((25.331) - (x0))) - (((x1) + (x0)) * ((x0) * ((exp((7.431) - (exp(x0)))) - (2.295))))) * ((x0) * (-9.18e-4))),saturated,178.273167,29,7,27,6,127,141,65,2,64,(0.164127 - (0.000918 * ((((25.331 + (-9.729 * x1)) - x0) - ((x1 + x0) * ((exp((7.431 - exp(x0))) - 2.295) * x0))) * x0))),saturated,170.091625,27,6,27,6,88,97,45,2,64,(0.164127 + ((((x1 * -9.729) + (25.331 - x0)) - ((x1 + x0) * (x0 * (exp((7.431 - exp(x0))) + -2.295)))) * (x0 * -0.000918))) -kotanchek,153,SBP,SBP,4,1,kept,7.0,5.0,egglog-baseline,1.105782+0.007318*((0.199000+((-7.153000+x0)*(((-7.153000+x0)*(x0-(x0*x0)))-(((x1-12.520000)+x0)+(-7.153000+x0)))))),(7.318e-3) * ((((-7.153) + (x0)) * ((19.673) + ((((-7.153) + (x0)) * ((x0) - ((x0) * (x0)))) - ((x0) + ((x0) + (x1)))))) + (151.3034001093195)),saturated,182.522167,29,7,25,5,146,154,49,2,58,(0.007318 * (151.3034001093195 + ((-7.153 + x0) * (((-7.153 + x0) * (x0 - (x0 * x0))) - ((-19.673 + (x0 + x1)) + x0))))),saturated,154.608750,25,5,25,5,66,72,33,1,58,(0.007318 * (((-7.153 + x0) * (19.673 + (((-7.153 + x0) * (x0 - (x0 * x0))) - (x0 + (x0 + x1))))) + 151.3034001093195)) -kotanchek,154,SBP,SBP,5,1,kept,5.0,4.0,egglog-baseline,0.009179-0.000004*((exp(((x0+x0)-(x0*x0)))*(-18.822000*((exp(x1)+(x1*(-19.513000)))*(exp(x1)+(5.700000*(-18.822000))))))),(9.179e-3) - (((exp(x1)) + ((x1) * (-19.513))) * ((exp(((x0) + (x0)) - ((x0) * (x0)))) * (((exp(x1)) + (-107.2854)) * (-7.528799999999999e-5)))),saturated,250.164500,28,6,24,4,167,177,58,2,51,(0.009179 - ((-7.528799999999999e-05 * ((exp(x1) + (x1 * -19.513)) * (exp(x1) + -107.2854))) * exp(((x0 + x0) - (x0 * x0))))),saturated,161.897584,24,4,24,4,167,177,58,1,51,(0.009179 - ((exp(x1) + (x1 * -19.513)) * (exp(((x0 + x0) - (x0 * x0))) * ((exp(x1) + -107.2854) * -7.528799999999999e-05)))) -kotanchek,155,SBP,SBP,6,1,kept,6.0,4.0,egglog-baseline,0.684378-0.025139*((((x0*x0)+(19.711000-((x1-exp((exp(-20.972000)-(x1*(-0.586000)))))-(x1*(x1-5.420000)))))-x1)),(2.5139e-2) * ((x1) + (((x1) + (7.512755917100922)) - (((x0) * (x0)) + ((exp((7.797872420929269e-10) - ((x1) * (-0.586)))) + ((x1) * ((x1) - (5.42))))))),saturated,183.067792,27,6,24,5,80,92,50,2,56,(0.025139 * (((((7.512755917100922 + x1) - exp((-0.586 * (-1.3306949523770083e-09 - x1)))) - (x0 * x0)) - (x1 * (x1 + -5.42))) + x1)),saturated,174.203875,24,5,24,5,86,93,40,2,56,(0.025139 * (x1 + ((x1 + 7.512755917100922) - ((x0 * x0) + (exp((-0.586 * (-1.3306949523770083e-09 - x1))) + (x1 * (x1 + -5.42))))))) -kotanchek,156,SBP,SBP,7,1,kept,4.0,4.0,egglog-baseline,-14.026870+14.029048*(exp(exp((((x0+((x0+x0)-(exp(exp(exp((-0.884000-(x1*x1)))))+x0)))-1.493000)-(x0*x0))))),(-14.02687) + ((14.029048) * (exp(exp((((x0) + (((x0) + (x0)) - ((x0) + (exp(exp(exp((-0.884) - ((x1) * (x1))))))))) - (1.493)) - ((x0) * (x0)))))),saturated,169.162500,28,4,28,4,71,78,39,2,56,(-14.02687 + (14.029048 * exp(exp((((x0 + (((x0 + x0) - exp(exp(exp((-0.884 - (x1 * x1)))))) - x0)) + -1.493) - (x0 * x0)))))),saturated,169.411458,28,4,28,4,71,78,39,2,56,(-14.02687 + (14.029048 * exp(exp((((x0 + (((x0 + x0) - x0) - exp(exp(exp((-0.884 - (x1 * x1))))))) + -1.493) - (x0 * x0)))))) -kotanchek,157,SBP,SBP,8,1,kept,5.0,4.0,egglog-baseline,0.144574+0.000155*(((((x1-(11.267000*7.230000))*3.308000)+(x1+(exp((7.230000-(x0*x0)))*((x0*x1)+exp(x0)))))*x0)),(0.144574) + ((1.55e-4) * ((x0) * ((((x1) - (81.46041)) * (3.308)) + ((x1) + ((exp((7.23) - ((x0) * (x0)))) * (((x0) * (x1)) + (exp(x0)))))))),saturated,171.297708,29,6,27,5,86,94,42,2,60,(0.144574 + (0.000155 * ((((x1 + -81.46041) * 3.308) + (x1 + (exp((7.23 - (x0 * x0))) * ((x0 * x1) + exp(x0))))) * x0))),saturated,170.719209,27,5,27,5,86,94,42,2,60,(0.144574 + (0.000155 * (x0 * (((x1 + -81.46041) * 3.308) + (x1 + (exp((7.23 - (x0 * x0))) * ((x0 * x1) + exp(x0)))))))) -kotanchek,158,SBP,SBP,9,1,kept,6.0,5.0,egglog-baseline,0.018312-0.003546*(((((x0-(x0+((x0-13.713000)*x0)))-((x0*x0)+1.354000))-(20.118000+1.354000))*(x1+(x0*7.506000)))),(1.8312e-2) - ((3.546e-3) * (((-22.825999999999997) - ((x0) * ((x0) + ((x0) - (13.713))))) * ((x1) + ((x0) * (7.506))))),saturated,175.321208,29,7,21,5,92,103,49,2,52,(0.018312 - (0.003546 * ((-22.825999999999997 + (((13.713 - x0) * x0) - (x0 * x0))) * (x1 + (x0 * 7.506))))),saturated,151.384917,19,5,19,5,99,111,52,1,49,(0.018312 - (0.003546 * ((-22.825999999999997 - (x0 * (x0 + (x0 - 13.713)))) * (x1 + (x0 * 7.506))))) -kotanchek,159,SBP,SBP,10,1,kept,4.0,3.0,egglog-baseline,0.001314-0.043497*((exp(((x0+x0)-(x0*x0)))*(((x0-6.297000)-(x0-(x1+1.578000)))*x1))),(1.314e-3) - (((x1) + (-4.718999999999999)) * ((4.3497e-2) * ((x1) * (exp(((x0) + (x0)) - ((x0) * (x0))))))),saturated,186.019417,24,4,22,3,164,173,55,2,45,(0.001314 - (0.043497 * (exp(((x0 + x0) - (x0 * x0))) * (((-4.718999999999999 + x0) - (x0 - x1)) * x1)))),saturated,159.231291,18,3,18,3,156,165,52,1,39,(0.001314 - ((x1 + -4.718999999999999) * (0.043497 * (x1 * exp(((x0 + x0) - (x0 * x0))))))) 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(105.61550919377648)))),saturated,519.412875,29,6,25,5,247,259,78,2,57,(0.001414 * ((105.61550919377652 + (exp(x1) + ((-14.224 * x0) * x0))) + (-6.959 * (((x1 * (x0 + -14.412)) - x1) + exp(x1))))),saturated,162.921334,25,5,25,5,201,213,72,1,57,(0.001414 * ((6.958999999999999 * (x1 - (exp(x1) + (x1 * (x0 + -14.412))))) + ((x0 * (x0 * -14.224000000000002)) + (exp(x1) + 105.61550919377648)))) -kotanchek,162,SBP,SBP,13,1,kept,6.0,6.0,egglog-baseline,0.170654+0.002714*(((x0-6.237000)*((((-16.211000-x0)+x1)+(exp(x1)+(-16.310000*(x1-x0))))+exp((3.307000-(x0+x0)))))),(0.170654) + ((2.714e-3) * (((x0) - (6.237)) * (((((-16.211) - (x0)) + (x1)) + ((exp(x1)) - ((16.31) * ((x1) - (x0))))) + (exp((3.307) - ((x0) + (x0))))))),saturated,176.802958,29,6,29,6,277,286,67,2,67,(0.170654 + (0.002714 * ((x0 + -6.237) * ((((-16.211 - x0) + x1) + (exp(x1) + (-16.31 * (x1 - x0)))) + exp((3.307 - (x0 + x0))))))),saturated,180.531250,29,6,29,6,277,286,67,2,67,(0.170654 + (0.002714 * ((x0 + -6.237) * ((((-16.211 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((exp(x1)) + (-4.334))) * (exp((x0) + ((x0) - ((x0) * (x0))))))),saturated,175.008875,29,7,21,4,113,125,56,2,47,(-0.000469 - (0.008133 * ((((-15.662457149928537 * x1) + exp(x1)) - 4.334) * exp((x0 + (x0 - (x0 * x0))))))),saturated,155.325958,21,4,21,4,109,120,53,1,47,(-0.000469 - (0.008133 * (((-15.662457149928537 * x1) + (exp(x1) + -4.334)) * exp((x0 + (x0 - (x0 * x0))))))) -kotanchek,165,SBP,SBP,16,1,kept,6.0,5.0,egglog-baseline,0.009361+0.001754*((((4.923000-x1)*((((x0*x0)-16.384000)*((((x0*x0)-(-1.015000+x0))-x0)-3.101000))+x0))*x1)),(9.361e-3) + ((1.754e-3) * ((x1) * (((4.923) - (x1)) * ((x0) + ((((x0) * (x0)) - (16.384)) * (((((x0) * (x0)) - ((x0) + (-1.015))) - (x0)) - (3.101))))))),saturated,173.448500,29,6,29,6,118,127,48,2,68,(0.009361 + (0.001754 * (((4.923 - x1) * ((((x0 * x0) + -16.384) * (((((x0 * x0) + 1.015) - x0) - x0) + -3.101)) + x0)) * x1))),saturated,173.432041,29,6,29,6,118,127,48,2,68,(0.009361 + (0.001754 * (x1 * ((4.923 - x1) * (x0 + (((x0 * x0) + -16.384) * (((((x0 * x0) - x0) + 1.015) - x0) + -3.101))))))) -kotanchek,166,SBP,SBP,17,1,kept,5.0,3.0,egglog-baseline,-0.025349+0.010788*((((((((((x0+x0)-(x0*x0))*(-5.542000+x0))*(-5.542000+x0))+x1)+x1)+12.501000)+x0)+x1)),(1.0788e-2) * (((x1) + ((x0) + ((x1) + ((x1) + (((x0) + (-5.542)) * (((x0) + (-5.542)) * (((x0) + (x0)) - ((x0) * (x0))))))))) + (10.151259547645532)),saturated,181.155459,29,5,27,4,270,275,49,2,57,(0.010788 * (((10.151259547645532 + (x1 + x0)) + x1) + (((((x0 + x0) - (x0 * x0)) * (-5.542 + x0)) * (-5.542 + x0)) + x1))),saturated,157.307792,27,4,27,4,270,275,49,1,57,(0.010788 * ((x1 + (x0 + (x1 + (x1 + ((x0 + -5.542) * ((x0 + -5.542) * ((x0 + x0) - (x0 * x0)))))))) + 10.151259547645532)) -kotanchek,167,SBP,SBP,18,1,kept,5.0,4.0,egglog-baseline,0.008014-0.000927*(((x1+(4.989000-9.320000))*(((3.460000+x1)+x1)*(exp((x0+(x0-(-1.978000+(x0*x0)))))*x1)))),(8.014e-3) - ((9.27e-4) * ((x1) * (((x1) + (-4.331)) * (((x1) + ((x1) + (3.46))) * (exp((x0) + ((x0) - ((-1.978) + ((x0) * (x0)))))))))),saturated,218.798042,28,6,26,5,441,453,91,2,59,(0.008014 - (0.000927 * ((x1 + -4.331) * (((3.46 + x1) + x1) * (exp((x0 + (x0 - (-1.978 + (x0 * x0))))) * x1))))),saturated,174.664000,26,5,26,5,441,453,91,1,59,(0.008014 - (0.000927 * (x1 * ((x1 + -4.331) * ((x1 + (x1 + 3.46)) * exp((x0 + (x0 - (-1.978 + (x0 * x0)))))))))) -kotanchek,168,SBP,SBP,19,1,kept,5.0,4.0,egglog-baseline,0.025140-0.013750*((exp(((x0-x1)-exp(x0)))*(exp(x0)*(((x1*(-17.939000))*(x1-((exp(x0)-0.338000)*(-3.388000))))*x1)))),(2.514e-2) - ((x1) * ((exp(((x0) - (x1)) - (exp(x0)))) * ((exp(x0)) * (((x1) * ((x1) - (((exp(x0)) - (0.338)) * (-3.388)))) * (-0.24666125))))),saturated,2684.769334,29,5,27,4,802,814,111,2,55,(0.02514 - ((((-0.24666125 * x1) * (x1 * (x1 - ((exp(x0) - 0.338) * -3.388)))) * exp(x0)) * exp(((x0 - x1) - exp(x0))))),saturated,260.389167,27,4,27,4,802,814,111,1,55,(0.02514 - (x1 * (exp(((x0 - x1) - exp(x0))) * (exp(x0) * ((x1 * (x1 - ((exp(x0) - 0.338) * -3.388))) * -0.24666125))))) 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(x1))),saturated,179.565166,29,5,27,5,109,118,48,2,60,(0.429537 + (0.028001 * ((((x0 + (((x0 * ((-5.937 * x0) + 6.407)) + exp(x0)) + x0)) - exp((2.577 - x1))) - x1) - x1))),saturated,153.924542,25,5,25,5,80,88,41,1,57,(0.429537 + (0.028001 * ((((x0 + (exp(x0) + (x0 * (5.937 * (1.2475997978777158 - x0))))) - exp((2.577 - x1))) - x1) - x1))) -kotanchek,171,SBP,SBP,22,1,kept,6.0,4.0,egglog-baseline,0.033047-0.000135*((((exp(x1)*x1)+((exp(x0)*(-2.136000*exp(x0)))*exp((5.051000-(x0*x0)))))*(-2.136000+(x1+3.852000)))),(3.3047e-2) - ((1.35e-4) * ((((x1) * (exp(x1))) + ((exp(x0)) * ((-2.136) * ((exp(x0)) * (exp((5.051) - ((x0) * (x0)))))))) * ((x1) + (1.7159999999999997)))),saturated,174.705083,29,6,27,5,132,143,58,2,59,(0.033047 - (0.000135 * (((exp(x1) * x1) + ((exp(x0) * (-2.136 * exp(x0))) * exp((5.051 - (x0 * x0))))) * (1.7159999999999997 + x1)))),saturated,154.055000,27,5,27,5,132,143,58,1,59,(0.033047 - (0.000135 * (((x1 * exp(x1)) + (exp(x0) * (-2.136 * (exp(x0) * exp((5.051 - (x0 * x0))))))) * (x1 + 1.7159999999999997)))) -kotanchek,172,SBP,SBP,23,1,kept,6.0,3.0,egglog-baseline,1289016.678435-0.009565*((((x0+x0)*x0)+(exp(18.719000)-(((x1+x1)-exp(x1))+(-7.155000+(((8.072000-x0)+7.155000)*x1)))))),(9.565e-3) * ((((((x1) + (x1)) - (exp(x1))) + ((x1) * (((8.072) - (x0)) + (7.155)))) + (4695.615595638752)) - ((x0) * ((x0) + (x0)))),saturated,191.666959,29,6,24,4,52,58,30,2,52,(0.009565 * ((((4695.615595638752 + (x1 + x1)) - exp(x1)) + (((8.072 - x0) + 7.155) * x1)) - ((x0 + x0) * x0))),saturated,153.847083,24,4,24,4,57,63,31,1,52,(0.009565 * (((((x1 + x1) - exp(x1)) + (x1 * ((8.072 - x0) + 7.155))) + 4695.615595638752) - (x0 * (x0 + x0)))) -kotanchek,173,SBP,SBP,24,1,kept,7.0,4.0,egglog-baseline,-8.689343-0.039334*((((x0-x1)+(15.347000-((11.471000*(x0+19.197000))+(x0*x0))))+(-19.039000-((x0-7.988000)*(x0*x0))))),(3.9334e-2) * ((x1) + ((((x0) * ((x0) + ((x0) * ((x0) - (7.988))))) + ((11.471) * ((x0) + (0.2605728591270484)))) - (x0))),saturated,226.950708,29,7,21,4,56,64,34,2,48,(0.039334 * (((x0 * (((x0 - 7.988) * x0) + x0)) + (11.471 * (0.2605728591270484 + x0))) - (x0 - x1))),saturated,164.927541,21,4,21,4,46,52,27,2,48,(0.039334 * (x1 + (((x0 * (x0 + (x0 * (x0 + -7.988)))) + (11.471 * (x0 + 0.2605728591270484))) - x0))) -kotanchek,174,SBP,SBP,25,1,kept,6.0,6.0,egglog-baseline,0.101111-0.009711*(((((x1-(x0-4.696000))*(((x0+x1)+(-2.186000-x1))*(x0*(4.648000-x0))))-(x1*3.723000))+x0)),(0.101111) - ((9.711e-3) * ((x0) + (((x1) * (-3.723)) - ((((x1) + ((4.696) - (x0))) * ((x0) * ((4.648) - (x0)))) * ((2.186) - (x0)))))),saturated,196.858833,29,6,29,6,261,277,91,2,68,(0.101111 - (0.009711 * (((((x1 - x0) - -4.696) * (((x0 + x1) + (-2.186 - x1)) * (x0 * (4.648 - x0)))) - (x1 * 3.723)) + x0))),saturated,181.115667,25,6,25,6,142,154,60,2,62,(0.009711 * (((-3.723 * (-2.796671233512879 - x1)) + (((x1 + (4.696 - x0)) * (x0 * (4.648 - x0))) * (2.186 - x0))) - x0)) 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(exp(x1))))),saturated,183.527875,29,6,26,5,103,113,51,2,58,(0.00536 * ((14.335642819425818 + (x0 * ((-9.587 - x1) + exp((((x0 - exp(x0)) + 4.797) + x0))))) - (exp(x1) + (-20.176 * x1)))),saturated,154.271209,26,5,26,5,76,83,38,1,58,(0.00536 * ((x1 * 20.176) + ((x0 * ((-9.587 - x1) + exp((x0 + ((x0 - exp(x0)) + 4.797))))) + (14.335642819425818 - exp(x1))))) -kotanchek,179,SBP,SBP,30,1,kept,5.0,2.0,egglog-baseline,0.045524+0.000000*(exp(((x0+x1)-(((-1.333000*x1)+(x1*x1))-(((17.339000+x0)+(2.682000*x1))-(x0*x0)))))),4.5524e-2,timeout,180000.000000,na,na,na,na,na,na,na,na,na,timeout,saturated,223.962167,1,1,1,1,3,4,3,1,6,0.045524 -kotanchek,180,SRjl,SRjl,1,1,kept,8.0,6.0,egglog-baseline,(((x1 / ((exp(x0 * x0) + (exp(x1) + 2.123942905811524)) - -1.3807964412201128)) * (((x1 + (((x0 * x1) - (0.5001045169066385 - (log(x0 - -0.7116175810554622) * 0.40296766612240004))) - -0.44720866860488395)) + x0) + ((exp(x1 + x0) + (x1 * x1)) * -0.029820142635731767))) - -0.011424247853121624),(((x1) / ((exp(x1)) + ((exp((x0) * (x0))) + (3.504739347031637)))) * (((log((x0) + (0.7116175810554622))) * (0.40296766612240004)) + ((((x1) * (x0)) + (-5.289584830175453e-2)) + ((x1) + ((x0) + (((exp((x1) + (x0))) + ((x1) * (x1))) * (-2.9820142635731767e-2))))))) + (1.1424247853121624e-2),saturated,254.747542,45,8,41,6,860,875,137,2,84,(((x1 / (3.504739347031637 + (exp((x0 * x0)) + exp(x1)))) * (((((exp((x1 + x0)) + (x1 * x1)) * -0.029820142635731767) + x1) + ((-0.05289584830175453 + (x0 * x1)) + (log((x0 - -0.7116175810554622)) * 0.40296766612240004))) + x0)) - -0.011424247853121624),saturated,177.861209,41,6,41,6,849,861,128,1,84,(((x1 / (exp(x1) + (exp((x0 * x0)) + 3.504739347031637))) * ((log((x0 + 0.7116175810554622)) * 0.40296766612240004) + (((x1 * x0) + -0.05289584830175453) + (x1 + (x0 + ((exp((x1 + x0)) + (x1 * x1)) * -0.029820142635731767)))))) + 0.011424247853121624) -kotanchek,181,SRjl,SRjl,2,1,kept,9.0,8.0,egglog-baseline,(((((x1 - (exp(log(0.060649662684691685)) - (x1 + ((x0 + exp(x1 * -2.33304710784059)) - (-0.025166137547190513 - 0.26379072618381194))))) / (((exp(x0) - -1.86535733243554) - x1) + exp(x1 - 1.5565632534973677))) - 0.2581807926919453) / ((exp(x0 / 1.1012776051072322) + 0.4782812307154963) - x0)) * (x0 + 0.2581807926919453)),(((((x1) + ((x1) + ((x0) + (exp((x1) * (-2.33304710784059)))))) + (0.22830720104631075)) / ((((exp(x0)) + (1.86535733243554)) - (x1)) + (exp((x1) - (1.5565632534973677))))) + (-0.2581807926919453)) * (((x0) + (0.2581807926919453)) / (((exp((x0) / (1.1012776051072322))) + (0.4782812307154963)) - (x0))),saturated,194.919958,45,10,39,8,229,243,79,2,89,((((((x1 - -0.22830720104631075) + (x0 + exp((x1 * -2.33304710784059)))) + x1) / (((exp(x0) - -1.86535733243554) - x1) + exp((x1 - 1.5565632534973677)))) - 0.2581807926919453) * ((x0 + 0.2581807926919453) / ((exp((x0 / 1.1012776051072322)) + 0.4782812307154963) - x0))),saturated,182.484667,39,8,39,8,213,223,67,2,89,(((((x1 + (x1 + (x0 + exp((x1 * -2.33304710784059))))) + 0.22830720104631075) / (((exp(x0) + 1.86535733243554) - x1) + exp((x1 + -1.5565632534973677)))) + -0.2581807926919453) * ((x0 + 0.2581807926919453) / ((exp((x0 / 1.1012776051072322)) + 0.4782812307154963) - x0))) -kotanchek,182,SRjl,SRjl,3,1,kept,9.0,6.0,egglog-baseline,(((((((x0 / exp((x0 * x0) + -0.12087468709548371)) * (x1 / 0.5947634776272314)) / ((exp(x1 - x0) - x1) + 2.2629335889059945)) * (x1 + (((exp((0.27943051594577284 + 0.10597416087671603) + 1.2206854231318682) + exp(x1)) + 2.523828871594013) * -0.0454913207896129))) - (x0 * 0.05041963936946082)) - -0.18147813675635233) + -0.01334030820098058),((x0) * ((-5.041963936946082e-2) + (((x1) + (((exp(x1)) + (7.507117797574302)) * (-4.54913207896129e-2))) * ((((x1) / (0.5947634776272314)) / (exp(((x0) * (x0)) - (0.12087468709548371)))) / (((exp((x1) - (x0))) - (x1)) + (2.2629335889059945)))))) + (0.16813782855537174),saturated,420.082042,45,11,34,7,262,273,88,2,78,(0.16813782855537174 + ((((((x1 + ((7.507117797574302 + exp(x1)) * -0.0454913207896129)) / ((exp((x1 - x0)) - x1) + 2.2629335889059945)) / exp(((x0 * x0) + -0.12087468709548371))) * x1) + -0.029987760052091382) * (x0 / 0.5947634776272314))),saturated,213.238791,34,7,34,7,262,273,88,2,78,((x0 * (-0.05041963936946082 + ((x1 + ((exp(x1) + 7.507117797574302) * -0.0454913207896129)) * (((x1 / 0.5947634776272314) / exp(((x0 * x0) + -0.12087468709548371))) / ((exp((x1 - x0)) - x1) + 2.2629335889059945))))) + 0.16813782855537174) -kotanchek,183,SRjl,SRjl,4,1,kept,9.0,7.0,egglog-baseline,(((((x0 * x1) / 0.3268050163951488) + (((x1 + -0.5544986714499122) * x1) + 0.30370477454811745)) - ((((0.12540124052297874 - (exp(x1 + x0) * 0.003973572440442301)) / -0.7122963745947987) * x1) * (x1 + -0.7286282015526498))) / (((exp(x1) + 2.758453524484197) - -1.4870260456714612) + exp(x0 * x0))),((0.30370477454811745) + ((x1) * ((((x1) - (0.554498671449912)) + ((x0) / (0.3268050163951488))) + (((x1) - (0.7286282015526498)) * (((31.55881575145519) - (exp((x1) + (x0)))) * (5.5785380666899115e-3)))))) / ((exp(x1)) + ((exp((x0) * (x0))) + (4.245479570155658))),saturated,2364.312209,42,9,34,7,206,219,79,2,78,(((x1 * ((((x1 + -0.7286282015526498) * 0.0055785380666899115) * (31.55881575145519 - exp((x1 + x0)))) + ((x0 / 0.3268050163951488) + (x1 + -0.5544986714499122)))) + 0.30370477454811745) / ((4.245479570155658 + exp(x1)) + exp((x0 * x0)))),saturated,196.797417,34,7,34,7,193,205,73,2,78,((0.30370477454811745 + (x1 * (((x1 + -0.554498671449912) + (x0 / 0.3268050163951488)) + ((x1 + -0.7286282015526498) * ((31.55881575145519 - exp((x1 + x0))) * 0.0055785380666899115))))) / (exp(x1) + (exp((x0 * x0)) + 4.245479570155658))) -kotanchek,184,SRjl,SRjl,5,1,kept,9.0,7.0,egglog-baseline,((exp(((-1.5650412257786985 - x1) - x1) / 2.725807745015068) * ((x0 + 0.2515421021268282) * x1)) * (exp((((x0 / -0.6595888099113719) * x0) - (x1 / 0.8882302129082629)) / 2.725807745015068) * ((((x0 * (x1 - -0.9190110064157119)) * 0.22136372638482898) + (x1 + 1.3549310295276753)) * x1))),((exp((((-1.5650412257786985) - (x1)) - (x1)) / (2.725807745015068))) * ((x1) * ((x0) + (0.2515421021268282)))) * ((exp((((x0) * ((x0) / (-0.6595888099113719))) - ((x1) / (0.8882302129082629))) / (2.725807745015068))) * ((x1) * ((((x0) * ((x1) + (0.9190110064157119))) * (0.22136372638482898)) + ((x1) + (1.3549310295276753))))),saturated,212.653042,41,9,41,9,539,552,102,1,97,((exp((((-1.5650412257786985 - x1) - x1) / 2.725807745015068)) * ((x0 + 0.2515421021268282) * x1)) * (exp(((((x0 / -0.6595888099113719) * x0) - (x1 / 0.8882302129082629)) / 2.725807745015068)) * ((((x0 * (x1 - -0.9190110064157119)) * 0.22136372638482898) + (x1 + 1.3549310295276753)) * x1))),saturated,217.736292,41,9,41,9,532,543,96,1,97,((exp((((-1.5650412257786985 - x1) - x1) / 2.725807745015068)) * (x1 * (x0 + 0.2515421021268282))) * (exp((((x0 * (x0 / -0.6595888099113719)) - (x1 / 0.8882302129082629)) / 2.725807745015068)) * (x1 * (((x0 * (x1 + 0.9190110064157119)) * 0.22136372638482898) + (x1 + 1.3549310295276753))))) -kotanchek,185,SRjl,SRjl,6,1,kept,8.0,7.0,egglog-baseline,((((x1 + (exp((x1 + (1.309561009058676 * 0.2713771555143059)) * (-1.598800435582104 * x1)) - 0.2946268534853358)) / ((((exp(x0) - x0) + 1.0705549811404007) - x0) - x0)) / (((exp(x1) - 0.6303983601001658) + 3.1507918286409375) - (x1 * x1))) * ((x1 / (1.309561009058676 + 0.06685590531260745)) - -0.48872997975581867)),((((x1) + ((exp(((x1) + (0.3553849416107877)) * ((x1) * (-1.598800435582104)))) + (-0.2946268534853358))) / (((((exp(x0)) - (x0)) + (1.0705549811404007)) - (x0)) - (x0))) / (((exp(x1)) + (2.520393468540772)) - ((x1) * (x1)))) * (((x1) / (1.3764169143712834)) + (0.48872997975581867)),saturated,209.978333,44,10,38,7,271,281,88,2,84,((x1 + (exp(((x1 + 0.3553849416107877) * (-1.598800435582104 * x1))) + -0.2946268534853358)) * ((((x1 / 1.3764169143712834) + 0.48872997975581867) / ((((exp(x0) - x0) + 1.0705549811404007) - x0) - x0)) / ((2.520393468540772 + exp(x1)) - (x1 * x1)))),saturated,202.239625,38,7,38,7,271,281,88,2,84,((x1 + (exp(((x1 + 0.3553849416107877) * (x1 * -1.598800435582104))) + -0.2946268534853358)) * ((((x1 / 1.3764169143712834) + 0.48872997975581867) / ((((exp(x0) - x0) + 1.0705549811404007) - x0) - x0)) / ((exp(x1) + 2.520393468540772) - (x1 * x1)))) -kotanchek,186,SRjl,SRjl,7,1,kept,8.0,6.0,egglog-baseline,((((x1 / (exp(((x0 - 0.7606913305573865) * x0) + 1.5634875728815227) + exp(x1))) / 1.5634875728815227) * (((((exp(x1) * (x0 - -0.19417161363442786)) - x0) * -0.013296556398828556) - -0.3269889622210912) + 1.4134785703367858)) * (x1 + (x0 + ((x0 + -0.3269889622210912) * x1)))),(x1) * (((x1) + ((x0) + ((x1) * ((x0) - (0.3269889622210912))))) * (((((exp(x1)) * ((x0) + (0.19417161363442786))) - (x0)) + (-130.89611177155723)) * ((-8.504420904556904e-3) / ((exp(x1)) + (exp(((x0) * ((x0) - (0.7606913305573865))) + (1.5634875728815227))))))),saturated,250.608375,40,8,36,6,263,271,65,2,77,(((x1 / (exp((((x0 + -0.7606913305573865) * x0) + 1.5634875728815227)) + exp(x1))) * ((-130.89611177155723 + ((exp(x1) * (x0 + 0.19417161363442786)) - x0)) * -0.008504420904556904)) * (x1 + (x0 + ((x0 + -0.3269889622210912) * x1)))),saturated,194.089041,36,6,36,6,263,271,65,2,77,(x1 * ((x1 + (x0 + (x1 * (x0 + -0.3269889622210912)))) * ((((exp(x1) * (x0 + 0.19417161363442786)) - x0) + -130.89611177155723) * (-0.008504420904556904 / (exp(x1) + exp(((x0 * (x0 + -0.7606913305573865)) + 1.5634875728815227))))))) -kotanchek,187,SRjl,SRjl,8,1,kept,7.0,6.0,egglog-baseline,(((exp(((x0 + x0) - (x0 * (x0 + 0.040585192647742296))) + -1.0149512623308583) / ((x1 * (exp(x1) * 0.040585192647742296)) + (3.8606907267233312 - x1))) * ((log(exp(x1) - x1) + (log(0.8419832071038463) * x1)) - -1.122619161739475)) * 0.6992234510287301),(((exp((((x0) + (x0)) - ((x0) * ((x0) + (4.0585192647742296e-2)))) - (1.0149512623308583))) / (((x1) * ((4.0585192647742296e-2) * (exp(x1)))) + ((3.8606907267233312) - (x1)))) * (((log((exp(x1)) - (x1))) + ((x1) * (-0.1719952089958853))) + (1.122619161739475))) * (0.6992234510287301),saturated,184.087875,38,7,37,7,146,155,58,2,82,((exp((((x0 + x0) - (x0 * (x0 + 0.040585192647742296))) + -1.0149512623308583)) * (((log((exp(x1) - x1)) + (-0.1719952089958853 * x1)) + 1.122619161739475) / ((x1 * (exp(x1) * 0.040585192647742296)) + (3.8606907267233312 - x1)))) * 0.6992234510287301),saturated,177.625000,37,7,37,7,153,164,64,2,82,((((log((exp(x1) - x1)) + (x1 * -0.1719952089958853)) + 1.122619161739475) * exp((((x0 + x0) - (x0 * (x0 + 0.040585192647742296))) + -1.0149512623308583))) * (0.6992234510287301 / ((x1 * (0.040585192647742296 * exp(x1))) + (3.8606907267233312 - x1)))) -kotanchek,188,SRjl,SRjl,9,1,kept,8.0,7.0,egglog-baseline,(((((exp(x1 - ((x1 * 2.5453490974043493) + ((x0 * 0.5411409793785076) * x0))) * x1) * (x0 + 0.4339810714841567)) * (((((x0 + x1) / 0.9520033739001882) + exp((0.8325766331394892 / 0.6756390603608541) - (((x1 * 2.5453490974043493) * x1) * x1))) * x1) - -0.40562409423561496)) * x1) / 1.5660393014789127),((x1) * ((((x1) * (exp((x1) - (((x1) * (2.5453490974043493)) + ((x0) * ((x0) * (0.5411409793785076))))))) * ((x0) + (0.4339810714841567))) * (((x1) * ((((x1) + (x0)) / (0.9520033739001882)) + (exp((1.2322801951308378) - ((x1) * ((x1) * ((x1) * (2.5453490974043493)))))))) + (0.40562409423561496)))) / (1.5660393014789127),saturated,344.066958,45,9,43,8,547,562,113,2,96,((((exp(((x1 - (x1 * 2.5453490974043493)) - ((x0 * 0.5411409793785076) * x0))) * x1) * (x0 + 0.4339810714841567)) * (((((x0 + x1) / 0.9520033739001882) + exp((2.5453490974043493 * (0.4841301322429487 - (x1 * (x1 * x1)))))) * x1) - -0.40562409423561496)) * (x1 / 1.5660393014789127)),saturated,331.270917,43,8,43,8,581,597,121,2,96,((((x1 * exp(((x1 - (x1 * 2.5453490974043493)) - (x0 * (x0 * 0.5411409793785076))))) * (x0 + 0.4339810714841567)) * ((x1 * (((x1 + x0) / 0.9520033739001882) + exp((2.5453490974043493 * (0.4841301322429487 - (x1 * (x1 * x1))))))) + 0.40562409423561496)) * (x1 / 1.5660393014789127)) -kotanchek,189,SRjl,SRjl,10,1,kept,5.0,5.0,egglog-baseline,(((((((x0 * (x1 + ((x1 + 1.1969160127334812) * x1))) - 0.7816954182701782) + exp((x0 - x1) - x1)) + x1) + x1) / (0.6953513046017712 - ((exp(x0 * x0) + x0) * -0.30094257465321056))) / (((((x1 - x0) * x1) - x1) * x1) + 9.716267429330689)),(3.322893084012271) * ((((x1) + ((x1) + ((((x0) * ((x1) + ((x1) * ((x1) + (1.1969160127334812))))) - (0.7816954182701782)) + (exp(((x0) - (x1)) - (x1)))))) / (((x0) + (exp((x0) * (x0)))) + (2.3105780410201358))) / (((x1) * (((x1) * ((x1) - (x0))) - (x1))) + (9.716267429330689))),saturated,198.947000,45,5,45,5,336,350,105,2,87,(((((x1 + exp(((x0 - x1) - x1))) + ((x0 * (x1 + ((x1 + 1.1969160127334812) * x1))) + -0.7816954182701782)) + x1) / (-0.30094257465321056 * ((-2.3105780410201358 - exp((x0 * x0))) - x0))) / (((((x1 - x0) * x1) - x1) * x1) + 9.716267429330689)),saturated,186.018916,45,5,45,5,251,258,69,2,87,(3.322893084012271 * (((x1 + ((x1 + ((x0 * (x1 + (x1 * (x1 + 1.1969160127334812)))) + -0.7816954182701782)) + exp(((x0 - x1) - x1)))) / ((x0 + exp((x0 * x0))) + 2.3105780410201358)) / ((x1 * ((x1 * (x1 - x0)) - x1)) + 9.716267429330689))) -kotanchek,190,SRjl,SRjl,11,1,kept,5.0,3.0,egglog-baseline,(exp(((x0 + -0.21546645087388747) - (x0 * x0)) - (x1 - x0)) * (((x1 + (((exp(((x1 - (x1 * x1)) + (x1 + 0.7393127343318426)) * x1) + (x1 * x1)) - x1) * -0.07637600437144379)) * 0.7393127343318426) * (x1 + (x1 * 0.05221153846822916)))),(exp((((x0) - (0.21546645087388747)) - ((x0) * (x0))) - ((x1) - (x0)))) * (((0.7393127343318426) * ((x1) + (((((x1) * (x1)) + (exp((x1) * (((x1) - ((x1) * (x1))) + ((x1) + (0.7393127343318426)))))) - (x1)) * (-7.637600437144379e-2)))) * ((x1) + ((x1) * (5.221153846822916e-2)))),saturated,154.721375,43,5,43,5,137,143,49,1,84,(exp((((x0 + -0.21546645087388747) - (x0 * x0)) - (x1 - x0))) * (((x1 + (((exp((((x1 - (x1 * x1)) + (x1 + 0.7393127343318426)) * x1)) + (x1 * x1)) - x1) * -0.07637600437144379)) * 0.7393127343318426) * (x1 + (x1 * 0.05221153846822916)))),saturated,156.803792,43,5,43,5,144,152,55,1,84,(exp((((x0 - 0.21546645087388747) - (x0 * x0)) - (x1 - x0))) * ((0.7393127343318426 * (x1 + ((((x1 * x1) + exp((x1 * ((x1 - (x1 * x1)) + (x1 + 0.7393127343318426))))) - x1) * -0.07637600437144379))) * (x1 + (x1 * 0.05221153846822916)))) -kotanchek,191,SRjl,SRjl,12,1,kept,9.0,8.0,egglog-baseline,(((((x1 - -0.8573197210520271) - (((((((x0 + 0.243655222569968) * ((x1 + -2.4978659229280784) - 0.6006378442243304)) - x0) * (x1 - -0.011366947974237162)) * x1) * 0.8729303966766084) - x0)) + (x0 * 0.32999628448933405)) / ((((exp(x0) * x0) * x0) * x0) - -11.469419384037693)) / 1.3572025597522632),(((((x1) + (0.8573197210520271)) - ((((((x0) + (0.243655222569968)) * ((x1) + (-3.098503767152409))) - (x0)) * (((x1) + (1.1366947974237162e-2)) * ((x1) * (0.8729303966766084)))) - (x0))) + ((x0) * (0.32999628448933405))) / (((x0) * ((x0) * ((x0) * (exp(x0))))) + (11.469419384037693))) / 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0.34628722226816544))) -kotanchek,193,SRjl,SRjl,14,1,kept,7.0,5.0,egglog-baseline,(exp((-0.7318040896636137 - (x0 * x0)) + ((x0 + x0) - x1)) * ((((x1 - -0.039858290344846364) / 0.9598793817164541) * x1) - (exp((0.13235515895495698 - x0) + (((x0 + 0.09098361423696229) - x1) * x1)) * ((x1 * (x1 / 0.9039712460608937)) - (0.16031841194029647 / 0.9446831697758643))))),(exp(((-0.7318040896636137) - ((x0) * (x0))) + (((x0) + (x0)) - (x1)))) * (((x1) * (((x1) + (3.9858290344846364e-2)) / (0.9598793817164541))) - ((exp(((0.13235515895495698) - (x0)) + ((x1) * (((x0) + (9.098361423696229e-2)) - (x1))))) * (((x1) * ((x1) / (0.9039712460608937))) - (0.1697060105117927)))),saturated,194.354959,43,8,41,7,104,114,56,2,89,(exp(((-0.7318040896636137 - (x0 * x0)) + ((x0 + x0) - x1))) * ((((x1 + 0.039858290344846364) / 0.9598793817164541) * x1) - (exp(((0.13235515895495698 - x0) + (((x0 + 0.09098361423696229) - x1) * x1))) * ((x1 * (x1 / 0.9039712460608937)) + 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+ (0.812322294597055 - 0.5409559190231504)) + log(0.5074656343049346)) + (exp((x1 * x1) * (x1 / -0.9200464293872815)) + x0))),(exp((x0) + (((x0) * ((0.812322294597055) - (x0))) + (-3.328771204220909)))) * (((x1) * (exp((((x1) - (0.10408241652437832)) * ((x1) + (-3.77402227668988))) * (-0.41747435412918754)))) + (((x0) + (exp(((x1) / (-0.9200464293872815)) * ((x1) * (x1))))) + (-0.4069599104403998))),saturated,192.721333,45,11,36,7,159,168,59,2,81,(exp(((-3.328771204220909 + x0) + ((0.812322294597055 - x0) * x0))) * ((-0.4069599104403998 + (exp((((x1 + -0.10408241652437832) * (x1 + -3.77402227668988)) * -0.41747435412918754)) * x1)) + (exp((((x1 * x1) * x1) / -0.9200464293872815)) + x0))),saturated,172.947084,36,7,36,7,159,168,59,2,81,(exp((x0 + ((x0 * (0.812322294597055 - x0)) + -3.328771204220909))) * ((x1 * exp((((x1 + -0.10408241652437832) * (x1 + -3.77402227668988)) * -0.41747435412918754))) + ((x0 + exp(((x1 / -0.9200464293872815) * (x1 * x1)))) + -0.4069599104403998))) 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0.13641841713296907) * 0.07960520452659406) -kotanchek,200,SRjl,SRjl,21,1,kept,6.0,5.0,egglog-baseline,((x1 / (exp(x0 * x0) + (exp(x1) - (x1 - 2.2629362793281427)))) * (((x1 + (x0 / 0.5028014550509837)) - 0.7539491467914053) - (((exp(x0) + x1) * 0.01051489791910208) * ((x1 - (((exp(x1) - x0) / 2.0247589337935135) - (x1 + x1))) / -0.4936206130091686)))),((x1) / ((exp((x0) * (x0))) + ((exp(x1)) - ((x1) - (2.2629362793281427))))) * ((((x1) + ((x0) / (0.5028014550509837))) - (0.7539491467914053)) - (((x1) + ((x1) + ((x1) - (((exp(x1)) - (x0)) / (2.0247589337935135))))) * (((x1) + (exp(x0))) * (-2.1301577855515473e-2)))),saturated,243.978750,43,6,41,5,212,222,75,2,80,((x1 / (exp((x0 * x0)) + ((exp(x1) - x1) + 2.2629362793281427))) * (((x1 + (x0 / 0.5028014550509837)) + -0.7539491467914053) + (((x1 - (((exp(x1) - x0) / 2.0247589337935135) - (x1 + x1))) * (exp(x0) + x1)) * 0.021301577855515473))),saturated,192.590625,41,5,41,5,205,215,73,2,80,((x1 / (exp((x0 * x0)) + ((exp(x1) - x1) + 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x1))))),saturated,404.893750,17,4,17,4,36,42,26,2,41,(1.108799 * ((1.7590104247929514 - exp((0.0019615898236818204 - (x0 * x0)))) - exp((1.5784384301013077e-11 - (x1 * x1))))) +pagie,111,GOMEA,GOMEA,22,1,kept,4.0,3.0,egglog-baseline,1.938930-5.446100*((exp(((-0.454000-1.011000)-(x1*x1)))+exp(((-1.344000-0.479000)-(x0*x0))))),(1.93893) - ((5.4461) * ((exp((-1.4649999999999999) - ((x1) * (x1)))) + (exp((-1.823) - ((x0) * (x0)))))),saturated,409.381000,21,6,17,4,36,42,26,2,41,(5.4461 * ((0.3560217403279411 - exp((-1.4649999999999999 - (x1 * x1)))) - exp((-1.823 - (x0 * x0))))),saturated,403.819709,17,4,17,4,36,42,26,2,41,(5.4461 * ((0.3560217403279411 - exp((-1.4649999999999999 - (x1 * x1)))) - exp((-1.823 - (x0 * x0))))) +pagie,112,GOMEA,GOMEA,23,1,kept,3.0,3.0,egglog-baseline,1.967245-1.093740*((exp(((-3.351000+2.551000)*(x0*x0)))+exp(((x1-x1)-(x1*x1))))),(1.967245) - ((1.09374) * ((exp((-0.7999999999999998) * ((x0) * (x0)))) + (exp((x1) - ((x1) + ((x1) * (x1))))))),saturated,441.907750,21,4,17,4,52,59,31,2,41,(1.09374 * ((1.7986404447126374 - exp((-0.7999999999999998 * (x0 * x0)))) - exp((-1.0 * (x1 * x1))))),saturated,456.893500,19,3,19,3,61,68,33,2,40,(1.09374 * ((1.7986404447126374 - exp((-0.7999999999999998 * (x0 * x0)))) - exp(((x1 - x1) - (x1 * x1))))) +pagie,113,GOMEA,GOMEA,24,1,kept,4.0,3.0,egglog-baseline,1.961773-1.139885*(exp(((-4.331000*(x1*x0))*((x1*x0)*exp(-3.893000))))),(1.961773) - ((1.139885) * (exp((x1) * ((-8.82835453806378e-2) * ((x0) * ((x1) * (x0))))))),saturated,866.403000,17,4,14,3,134,143,46,2,33,(1.961773 - (1.139885 * exp((-0.0882835453806378 * ((x1 * x0) * (x1 * x0)))))),saturated,320.359666,14,3,14,3,134,143,46,1,33,(1.961773 - (1.139885 * exp((x1 * (-0.0882835453806378 * (x0 * (x1 * x0))))))) +pagie,114,GOMEA,GOMEA,25,1,kept,3.0,3.0,egglog-baseline,2.015663-2.611492*((exp((x1-exp(x1)))+exp(((1.434000-2.275000)-(x0*x0))))),(2.015663) - ((2.611492) * ((exp((x1) - (exp(x1)))) + (exp((-0.841) - ((x0) * (x0)))))),saturated,403.304833,18,4,16,3,33,38,23,2,35,(2.611492 * ((0.7718434519424144 - exp((x1 - exp(x1)))) - exp((-0.841 - (x0 * x0))))),saturated,404.020208,16,3,16,3,33,38,23,2,35,(2.611492 * ((0.7718434519424144 - exp((x1 - exp(x1)))) - exp((-0.841 - (x0 * x0))))) +pagie,115,GOMEA,GOMEA,26,1,kept,4.0,2.0,egglog-baseline,1.950387-0.000000*((exp((19.402000-(x1*x1)))+exp(((18.128000+1.277000)-(x0*x0))))),1.950387,saturated,303.098833,19,5,1,1,3,4,3,2,6,1.950387,saturated,212.837250,1,1,1,1,3,4,3,1,6,1.950387 +pagie,116,GOMEA,GOMEA,27,1,kept,4.0,2.0,egglog-baseline,2.013362-0.000000*((exp(((x0+22.086000)-exp(x0)))+exp(((6.546000+14.636000)-(x1*x1))))),2.013362,saturated,302.013542,20,5,1,1,3,4,3,2,6,2.013362,saturated,209.525584,1,1,1,1,3,4,3,1,6,2.013362 +pagie,117,GOMEA,GOMEA,28,1,kept,2.0,2.0,egglog-baseline,1.950390-1.109849*((exp(((x0-x0)-(x1*x1)))+exp(((x0-x0)-(x0*x0))))),(1.95039) - ((1.109849) * ((exp((x0) - ((x0) + ((x1) * (x1))))) + (exp((x0) - ((x0) + ((x0) * (x0))))))),saturated,440.173708,21,2,17,4,50,56,28,2,41,(1.109849 * ((1.7573471706511425 - exp((-1.0 * (x1 * x1)))) - exp((-1.0 * (x0 * x0))))),saturated,458.255417,21,2,21,2,66,72,32,2,39,(1.109849 * ((1.7573471706511425 - exp(((x0 - x0) - (x1 * x1)))) - exp(((x0 - x0) - (x0 * x0))))) +pagie,118,GOMEA,GOMEA,29,1,kept,4.0,3.0,egglog-baseline,2.072676-0.000520*((exp(((x1+8.426000)-exp(x1)))+exp(((8.611000+x0)-exp(x0))))),(2.072676) - ((5.2e-4) * ((exp(((x1) + (8.426)) - (exp(x1)))) + (exp(((8.611) + (x0)) - (exp(x0)))))),saturated,405.924500,19,4,19,4,42,48,28,2,43,(0.00052 * ((3985.915384615385 - exp(((x1 + 8.426) - exp(x1)))) - exp(((8.611 + x0) - exp(x0))))),saturated,417.238417,19,4,19,4,42,48,28,2,43,(0.00052 * ((3985.915384615385 - exp(((x1 + 8.426) - exp(x1)))) - exp(((8.611 + x0) - exp(x0))))) +pagie,119,GOMEA,GOMEA,30,1,kept,4.0,4.0,egglog-baseline,1.983784-1.077004*((exp(((x1*x1)*(-17.973000+17.206000)))+exp(((-1.143000+0.306000)*(x0*x0))))),(1.983784) - ((1.077004) * ((exp(((x1) * (x1)) * (-0.7669999999999995))) + (exp((-0.837) * ((x0) * (x0)))))),saturated,429.323167,21,6,17,4,48,54,28,2,41,(1.077004 * ((1.8419467337168662 - exp(((x1 * x1) * -0.7669999999999995))) - exp((-0.837 * (x0 * x0))))),saturated,422.895791,17,4,17,4,48,54,28,2,41,(1.077004 * ((1.8419467337168662 - exp(((x1 * x1) * -0.7669999999999995))) - exp((-0.837 * (x0 * x0))))) +pagie,120,Operon,Operon,1,1,kept,12.0,7.0,egglog-baseline,(0.0000018283429881 + (1.0000038146972656 * (((exp((((0.0879114493727684 * x0) * ((-110.2642364501953125) * x0)) + (-1.4756100177764893))) + 1.6358861923217773) / exp(exp((((-1.3751174211502075) * x1) * (0.7306602597236633 * x1))))) - (exp((((0.0290526524186134 * x0) * ((-29.7418365478515625) * x0)) + 0.1625563055276871)) + (-0.3440066277980804))))),(1.0000038146972656) * (((((exp(((-9.69348884031831) * ((x0) * (x0))) + (-1.4756100177764893))) + (1.6358861923217773)) / (exp(exp((-1.0047436520881448) * ((x1) * (x1)))))) - (exp((((x0) * (x0)) * (-0.8640792395159441)) + (0.1625563055276871)))) + (0.3440084561340939)),saturated,582.911625,39,12,31,8,100,112,56,2,77,(1.0000038146972656 * (0.3440084561340939 + (((exp(((-9.69348884031831 * (x0 * x0)) + -1.4756100177764893)) + 1.6358861923217773) / exp(exp((-1.0047436520881448 * (x1 * x1))))) - exp(((-0.8640792395159441 * (x0 * x0)) + 0.1625563055276871))))),saturated,269.520000,31,8,31,8,100,112,56,1,77,(1.0000038146972656 * ((((exp(((-9.69348884031831 * (x0 * x0)) + -1.4756100177764893)) + 1.6358861923217773) / exp(exp((-1.0047436520881448 * (x1 * x1))))) - exp((((x0 * x0) * -0.8640792395159441) + 0.1625563055276871))) + 0.3440084561340939)) +pagie,121,Operon,Operon,2,1,kept,13.0,6.0,egglog-baseline,((-0.0615618973970413) + (1.0497297048568726 * (((((3.4508244991302490 * x0) * (exp(((2.5524139404296875 * x0) * ((-1.6356614828109741) * x0))) * (((2.4663076400756836 * x0) * ((-0.0845688283443451) * x0)) * (3.5071039199829102 * x0)))) - exp(((3.0741317272186279 * x0) * ((-0.2599562704563141) * x0)))) - exp(((0.0030150315724313 * x1) * ((-247.1376800537109375) * x1)))) + 1.9547927379608154))),(1.0497297048568726) * (((((exp((-4.174885170550624) * ((x0) * (x0)))) * (((x0) * ((x0) * (x0))) * ((x0) * (-2.5242308455470654)))) - (exp(((x0) * (x0)) * (-0.7991398186991816)))) - (exp((-0.7451279080993636) * ((x1) * (x1))))) + (1.8961472627378055)),saturated,2584.109708,48,13,34,6,177,185,53,2,74,(1.0497297048568726 * (1.8961472627378055 + (((((-2.524230845547065 * (x0 * (x0 * x0))) * x0) * exp((-4.174885170550624 * (x0 * x0)))) - exp((-0.7991398186991816 * (x0 * x0)))) - exp((-0.7451279080993636 * (x1 * x1)))))),saturated,333.633792,34,6,34,6,177,185,53,1,74,(1.0497297048568726 * ((((exp((-4.174885170550624 * (x0 * x0))) * ((x0 * (x0 * x0)) * (x0 * -2.5242308455470654))) - exp(((x0 * x0) * -0.7991398186991816))) - exp((-0.7451279080993636 * (x1 * x1)))) + 1.8961472627378055)) +pagie,122,Operon,Operon,3,1,kept,13.0,7.0,egglog-baseline,(0.0000011243114386 + (0.9999998211860657 * (((((-1.5812002420425415) + exp((((-0.1428712755441666) * x1) * (6.4702811241149902 * x1)))) + exp(((0.0134312557056546 * x0) * ((-68.7404861450195312) * x0)))) * (-1.2517620325088501)) - ((exp((((-0.0396961532533169) * x1) * (152.2495422363281250 * x1))) + exp(((1.0955569744110107 * x0) * ((-5.6038808822631836) * x0)))) * (-0.2742688059806824))))),(1.2517618086763562) * ((1.5812011402257509) - ((exp((-0.9244173173316528) * ((x1) * (x1)))) + ((exp((-0.9232710467447646) * ((x0) * (x0)))) + (((exp(((x1) * (x1)) * (-6.043721161360626))) + (exp(((x0) * (x0)) * (-6.139370784331959)))) * (-0.21910618700503146))))),saturated,1150.748375,45,13,33,7,158,168,60,2,76,(-1.2517618086763562 * ((-1.5812011402257509 + (exp((-0.9232710467447646 * (x0 * x0))) + exp((-0.9244173173316528 * (x1 * x1))))) + (-0.21910618700503146 * (exp((-6.043721161360626 * (x1 * x1))) + exp((-6.139370784331959 * (x0 * x0))))))),saturated,501.576583,33,7,33,7,96,107,53,2,76,(1.2517618086763562 * (((1.5812011402257509 - exp((-0.9244173173316528 * (x1 * x1)))) - exp((-0.9232710467447646 * (x0 * x0)))) - ((exp(((x1 * x1) * -6.043721161360626)) + exp(((x0 * x0) * -6.139370784331959))) * -0.21910618700503146))) +pagie,123,Operon,Operon,4,1,kept,13.0,8.0,egglog-baseline,(0.0130726965144277 + (0.9919041991233826 * (exp(((((58.9215812683105469 * x0) * exp((((-5.0386314392089844) * x1) * (2.4705743789672852 * x1)))) + (log(((0.4419521391391754 * x0) * (0.1393797099590302 * x0))) / (0.0113436263054609 * x0))) / (381.6167297363281250 * x0))) - (exp(((((-0.8848519921302795) * x1) * (0.9313139915466309 * x1)) + 0.1248256787657738)) + (-0.9970148205757141))))),(0.9919041991233826) * (((exp((((x0) * (exp((-12.448313738768775) * ((x1) * (x1))))) + ((log((6.1599160968991234e-2) * ((x0) * (x0)))) * ((1.4961450344221223) / (x0)))) * ((0.154399890458213) / (x0)))) - (exp((((x1) * (x1)) * (-0.8240750407188386)) + (0.1248256787657738)))) + (1.0101942148417944)),saturated,1144.274458,47,13,37,8,123,135,63,2,86,(0.9919041991233826 * (1.0101942148417944 + (exp(((0.154399890458213 / x0) * ((exp((-12.448313738768775 * (x1 * x1))) * x0) + ((-2.7871070291686837 + log((x0 * x0))) * (1.4961450344221223 / x0))))) - exp((-0.8240750407188386 * ((x1 * x1) + -0.1514736796989855)))))),saturated,421.240750,37,8,37,8,98,108,53,2,86,(0.9919041991233826 * ((exp((((x0 * exp((-12.448313738768775 * (x1 * x1)))) + ((-2.7871070291686837 + log((x0 * x0))) * (1.4961450344221223 / x0))) * (0.154399890458213 / x0))) - exp((-0.8240750407188386 * ((x1 * x1) + -0.1514736796989855)))) + 1.0101942148417944)) +pagie,124,Operon,Operon,5,1,kept,13.0,7.0,egglog-baseline,((-0.0197761859744787) + (1.0117771625518799 * ((exp(((1.6896657943725586 * x1) * ((-1.6174912452697754) * x1))) * ((0.0575970448553562 * x1) * ((-14.7621564865112305) * x1))) - (exp(((0.4481753110885620 * x1) * ((-1.8585087060928345) * x1))) - (1.9719880819320679 - exp((((0.2870940864086151 * x0) * ((-1.9049599170684814) * x0)) / exp((((-0.2803071439266205) * x0) * (0.7164036631584167 * x0)))))))))),(1.0117771625518799) * ((((exp((-2.733019629829414) * ((x1) * (x1)))) * (((x1) * (x1)) * (-0.8502565893153748))) - ((exp(((x1) * (x1)) * (-0.832937717513957))) + (exp(((-0.5469027270358069) * ((x0) * (x0))) / (exp(((x0) * (x0)) * (-0.20081306471850446))))))) + (1.9524420922552503)),saturated,1170.685000,49,13,37,7,148,157,58,2,82,(1.0117771625518799 * (1.9524420922552503 + ((exp((-2.733019629829414 * (x1 * x1))) * (-0.8502565893153748 * (x1 * x1))) - (exp(((-0.5469027270358069 * (x0 * x0)) / exp((-0.20081306471850446 * (x0 * x0))))) + exp((-0.832937717513957 * (x1 * x1))))))),saturated,320.300333,37,7,37,7,148,157,58,1,82,(1.0117771625518799 * (((exp((-2.733019629829414 * (x1 * x1))) * ((x1 * x1) * -0.8502565893153748)) - (exp(((x1 * x1) * -0.832937717513957)) + exp(((-0.5469027270358069 * (x0 * x0)) / exp(((x0 * x0) * -0.20081306471850446)))))) + 1.9524420922552503)) +pagie,125,Operon,Operon,6,1,kept,13.0,8.0,egglog-baseline,(0.0004403672355693 + (0.9997187852859497 * (exp((((-13.4114389419555664) * x0) * (0.2287123352289200 * x0))) - ((-3.1294746398925781) + (exp((exp((((-3.3788871765136719) * x0) * (0.2795567214488983 * x0))) - (-0.1448028236627579))) + ((1.0040752887725830 + ((1.8763431310653687 * x1) * (0.6411635279655457 * x1))) / exp(((1.1580088138580322 * x1) * (1.2662296295166016 * x1))))))))),(0.9997187852859497) * (((exp((-3.067361519194734) * ((x0) * (x0)))) - ((exp((exp(((x0) * (x0)) * (-0.9445906212118871))) + (0.1448028236627579))) + (((1.004075288772583) + ((1.20304278158779) * ((x1) * (x1)))) / (exp((x1) * ((x1) * (1.4663050713484154))))))) + (3.1299151310007285)),saturated,5471.967292,45,13,35,8,140,153,68,2,83,(0.9997187852859497 * (3.1299151310007285 + (exp((-3.067361519194734 * (x0 * x0))) - (exp((exp((-0.9445906212118871 * (x0 * x0))) + 0.1448028236627579)) + (((x1 * x1) + 0.8346131194498276) * (1.20304278158779 / exp((1.4663050713484154 * (x1 * x1))))))))),saturated,569.930583,35,8,35,8,140,153,68,2,83,(0.9997187852859497 * ((exp((-3.067361519194734 * (x0 * x0))) - (exp((exp(((x0 * x0) * -0.9445906212118871)) + 0.1448028236627579)) + (1.20304278158779 * (((x1 * x1) + 0.8346131194498276) / exp((x1 * (x1 * 1.4663050713484154))))))) + 3.1299151310007285)) +pagie,126,Operon,Operon,7,1,kept,12.0,7.0,egglog-baseline,(0.0028247879818082 + (0.9984024167060852 * (0.7176343202590942 - ((exp(((4.5870537757873535 * x1) * ((-0.0708576515316963) * x1))) / ((((-2.5320065021514893) * x1) * ((-0.5026428699493408) * x1)) + exp((((-1.5353101491928101) * x1) * (1.0705516338348389 * x1))))) + ((-3.4508912563323975) / exp(exp(exp(((1.6964559555053711 * x0) * ((-0.5267499089241028) * x0)))))))))),(2.8247879818082e-3) + ((0.9984024167060852) * ((0.7176343202590942) - (((exp((-0.3250278580018921) * ((x1) * (x1)))) / ((((x1) * (x1)) * (1.2726950149718164)) + (exp(((x1) * (x1)) * (-1.643628788661573))))) + ((-3.4508912563323975) / (exp(exp(exp((-0.893608020056206) * ((x0) * (x0)))))))))),saturated,510.356209,44,12,36,8,107,118,57,2,84,(0.0028247879818082 + (0.9984024167060852 * (0.7176343202590942 - ((exp((-0.3250278580018921 * (x1 * x1))) / ((1.2726950149718164 * (x1 * x1)) + exp((-1.643628788661573 * (x1 * x1))))) + (-3.4508912563323975 / exp(exp(exp((-0.893608020056206 * (x0 * x0)))))))))),saturated,273.143042,36,8,36,8,107,118,57,1,84,(0.0028247879818082 + (0.9984024167060852 * (0.7176343202590942 - ((exp((-0.3250278580018921 * (x1 * x1))) / (((x1 * x1) * 1.2726950149718164) + exp(((x1 * x1) * -1.643628788661573)))) + (-3.4508912563323975 / exp(exp(exp((-0.893608020056206 * (x0 * x0)))))))))) +pagie,127,Operon,Operon,8,1,kept,13.0,7.0,egglog-baseline,((-0.0218773111701012) + (1.0134590864181519 * ((((((-0.3641613721847534) * x0) * (2.2286646366119385 * x0)) * exp((((-2.4582626819610596) * x0) * (1.0862829685211182 * x0)))) + (1.9716572761535645 - exp(((((-2.4894037246704102) * x1) * (0.2193875461816788 * x1)) * exp((((-0.4357891678810120) * x1) * ((-0.4778871238231659) * x1))))))) - exp((((-1.3948150873184204) * x0) * (0.5922598838806152 * x0)))))),(-2.18773111701012e-2) + ((1.0134590864181519) * (((((-0.8115935722082384) * ((x0) * (x0))) * (exp(((x0) * (x0)) * (-2.670368883565345)))) + ((1.9716572761535645) - (exp(((-0.5461441746109729) * ((x1) * (x1))) * (exp(((x1) * (x1)) * (0.20825803203194762))))))) - (exp(((x0) * (x0)) * (-0.8260930216501379))))),saturated,893.148917,49,13,39,8,160,171,64,2,89,(-0.0218773111701012 + (1.0134590864181519 * ((((-0.8115935722082384 * (x0 * x0)) * exp((-2.670368883565345 * (x0 * x0)))) + (1.9716572761535645 - exp(((-0.5461441746109729 * (x1 * x1)) * exp((0.20825803203194762 * (x1 * x1))))))) - exp((-0.8260930216501379 * (x0 * x0)))))),saturated,308.048333,39,8,39,8,160,171,64,1,89,(-0.0218773111701012 + (1.0134590864181519 * ((((-0.8115935722082384 * (x0 * x0)) * exp(((x0 * x0) * -2.670368883565345))) + (1.9716572761535645 - exp(((-0.5461441746109729 * (x1 * x1)) * exp(((x1 * x1) * 0.20825803203194762)))))) - exp(((x0 * x0) * -0.8260930216501379))))) +pagie,128,Operon,Operon,9,1,kept,13.0,7.0,egglog-baseline,((-0.0000084446337496) + (1.0000045299530029 * ((((exp(((1.8677622079849243 * x1) * ((-3.2215218544006348) * x1))) + exp(((4.2088832855224609 * x0) * ((-1.4519027471542358) * x0)))) * 0.2748067975044250) - ((exp(((0.5492876768112183 * x1) * ((-1.6836870908737183) * x1))) + exp(((1.3932512998580933 * x0) * ((-0.6629599928855896) * x0)))) * 1.2524310350418091)) + 1.9792671203613281))),(0.2748080423663026) * ((((exp((-6.0170367718470175) * ((x1) * (x1)))) + (exp((-6.110889204701607) * ((x0) * (x0))))) - (((exp(((x1) * (x1)) * (-0.9248285706230632))) + (exp(((x0) * (x0)) * (-0.92366987184176)))) * (4.5574965627320125))) + (7.20236432919372)),saturated,1448.365625,45,13,33,7,158,168,60,2,76,(0.2748080423663026 * (7.20236432919372 + ((exp((-6.0170367718470175 * (x1 * x1))) + exp((-6.110889204701607 * (x0 * x0)))) + (-4.5574965627320125 * (exp((-0.9248285706230632 * (x1 * x1))) + exp((-0.92366987184176 * (x0 * x0)))))))),saturated,552.297708,33,7,33,7,158,168,60,2,76,(0.2748080423663026 * (((exp((-6.0170367718470175 * (x1 * x1))) + exp((-6.110889204701607 * (x0 * x0)))) + (-4.5574965627320125 * (exp(((x1 * x1) * -0.9248285706230632)) + exp(((x0 * x0) * -0.92366987184176))))) + 7.20236432919372)) +pagie,129,Operon,Operon,10,1,kept,14.0,8.0,egglog-baseline,(0.0000002913372725 + (1.0000000000000000 * ((1.0092900991439819 / ((((-9.8911437988281250) * x0) * ((-0.0619828216731548) * x0)) - exp((((-5.2376017570495605) * x0) * ((-0.1814788132905960) * x0))))) + ((2.9227268695831299 / ((-1.9528466463088989) - exp((((-1044.4626464843750000) * x1) * ((-0.0013573808828369) * x1))))) + (((241.8676300048828125 * x1) * (0.0000091869978860 * x1)) - (-1.9428678750991821)))))),((1.009290099143982) / (((0.6130810022262947) * ((x0) * (x0))) - (exp(((x0) * (x0)) * (0.9505137513580948))))) + ((((2.92272686958313) / ((-1.952846646308899) - (exp((1.417733629175126) * ((x1) * (x1)))))) + (((x1) * (x1)) * (2.2220374055466887e-3))) + (1.9428681664364547)),saturated,17946.628375,45,14,33,8,226,239,78,2,81,((1.9428681664364547 + (0.0022220374055466887 * (x1 * x1))) + ((1.009290099143982 / ((0.6130810022262947 * (x0 * x0)) - exp((0.9505137513580948 * (x0 * x0))))) + (2.92272686958313 / (-1.952846646308899 - exp((1.417733629175126 * (x1 * x1))))))),saturated,466.167417,33,8,33,8,226,239,78,1,81,((1.009290099143982 / ((0.6130810022262947 * (x0 * x0)) - exp(((x0 * x0) * 0.9505137513580948)))) + (((2.92272686958313 / (-1.952846646308899 - exp((1.417733629175126 * (x1 * x1))))) + ((x1 * x1) * 0.0022220374055466887)) + 1.9428681664364547)) +pagie,130,Operon,Operon,11,1,kept,13.0,8.0,egglog-baseline,((-0.0000135196241899) + (1.0000069141387939 * ((1.2255471944808960 * exp(((-1.7740323543548584) * exp(((2.9035081863403320 * x1) * ((-0.4098204970359802) * x1)))))) - ((1.2498761415481567 * exp(((0.1515025645494461 * x0) * ((-6.0828857421875000) * x0)))) + ((-0.7505750060081482) - (0.2749604582786560 * exp(((1.1432402133941650 * x0) * ((-5.4770793914794922) * x0))))))))),(1.2255556680842972) * (((exp((-1.7740323543548584) * (exp((-1.1899171680740324) * ((x1) * (x1)))))) - ((exp((-0.9215727898026671) * ((x0) * (x0)))) * (1.019851497499911))) + ((0.6124296884342743) + ((exp(((x0) * (x0)) * (-6.261617412291798))) * (0.22435729894116463)))),saturated,10126.087750,41,13,31,8,204,218,78,2,77,(1.2255556680842972 * ((0.6124296884342744 + (exp((-1.7740323543548584 * exp((-1.1899171680740324 * (x1 * x1))))) + (-1.0198514974999113 * exp((-0.9215727898026671 * (x0 * x0)))))) + (0.22435729894116463 * exp((-6.261617412291798 * (x0 * x0)))))),saturated,773.472500,31,8,31,8,232,248,90,2,77,(1.2255556680842972 * ((exp((-1.7740323543548584 * exp((-1.1899171680740324 * (x1 * x1))))) + (-1.019851497499911 * exp((-0.9215727898026671 * (x0 * x0))))) + (0.6124296884342743 + (exp(((x0 * x0) * -6.261617412291798)) * 0.22435729894116463)))) +pagie,131,Operon,Operon,12,1,kept,14.0,6.0,egglog-baseline,((-0.0001345924683847) + (1.0000907182693481 * (((0.0052004987373948 * x0) * ((-5.5132131576538086) * x0)) - (log((((-29.4069671630859375) * x1) * (((-0.0669591948390007) + (((7.1831178665161133 * x0) * ((-12.8945026397705078) * x0)) * (((-0.0048121302388608) * x0) * ((-3.7251195907592773) * x0)))) * (11.7470531463623047 * x1)))) * ((-0.1758960038423538) + ((5.9699630737304688 * x1) * (0.0000638487472315 * x1))))))),(-1.345924683847e-4) + ((((x0) * (x0)) - ((log(((((x0) * (x0)) * ((x0) * (x0))) + (4.032877607032475e-2)) * (((x1) * (x1)) * (573.5540504295212)))) * ((((x1) * (x1)) + (-461.4577535941546)) * (-1.3294568501084911e-2)))) * (-2.867405909042241e-2)),saturated,3166.378875,48,14,32,6,351,376,132,2,72,(-0.02867405909042241 * (((x0 * x0) + (0.013294568501084911 * (log(((573.5540504295212 * (x1 * (((x0 * x0) * (x0 * x0)) + 0.04032877607032475))) * x1)) * ((x1 * x1) + -461.4577535941546)))) + 0.004693875672093318)),saturated,664.715208,32,6,32,6,129,139,54,2,72,(-0.02867405909042241 * (((x0 * x0) + (0.013294568501084911 * (log(((((x0 * x0) * (x0 * x0)) + 0.04032877607032475) * ((x1 * x1) * 573.5540504295212))) * ((x1 * x1) + -461.4577535941546)))) + 0.004693875672093318)) +pagie,132,Operon,Operon,13,1,kept,12.0,8.0,egglog-baseline,((-0.0000847672417876) + (1.0000656843185425 * ((exp((((-1.8279364109039307) * x1) * (2.2386462688446045 * x1))) - ((-1.5547065734863281) + ((-1.6497515439987183) / exp(exp(((0.0022635490167886 * x0) * ((-443.1721801757812500) * x0))))))) - exp(exp(((-1.6148645877838135) + exp((0.5693863630294800 + ((0.0016070556594059 * x1) * ((-348.2632751464843750) * x1)))))))))),(-8.47672417876e-5) + ((1.0000656843185425) * (((exp((-4.092103025955282) * ((x1) * (x1)))) - ((-1.5547065734863281) + ((-1.6497515439987183) / (exp(exp((-1.00314195270495) * ((x0) * (x0)))))))) - (exp(exp((-1.6148645877838135) + (exp((0.56938636302948) + (((x1) * (x1)) * (-0.5596784672873918))))))))),saturated,698.869792,41,12,35,9,125,140,70,2,86,(-8.47672417876e-05 + (1.0000656843185425 * ((exp((-4.092103025955282 * (x1 * x1))) - (-1.5547065734863281 + (-1.6497515439987183 / exp(exp((-1.00314195270495 * (x0 * x0))))))) - exp(exp((-1.6148645877838135 + exp((0.56938636302948 + (-0.5596784672873918 * (x1 * x1)))))))))),saturated,312.986167,35,9,35,9,125,140,70,1,86,(-8.47672417876e-05 + (1.0000656843185425 * ((exp((-4.092103025955282 * (x1 * x1))) - (-1.5547065734863281 + (-1.6497515439987183 / exp(exp((-1.00314195270495 * (x0 * x0))))))) - exp(exp((-1.6148645877838135 + exp((0.56938636302948 + ((x1 * x1) * -0.5596784672873918))))))))) +pagie,133,Operon,Operon,14,1,kept,13.0,8.0,egglog-baseline,(0.0049303476698697 + (0.9968529939651489 * ((((exp((((-0.1228989660739899) * x1) * (28.5782623291015625 * x1))) - (0.0001418351894245 * x0)) - exp((((-0.9014899730682373) * x1) * (0.9040312170982361 * x1)))) - exp((((-0.1503573954105377) * x1) * (16.6330261230468750 * x1)))) + (((-1.0727374553680420) * exp((((-0.1865450739860535) * x0) * (4.1227397918701172 * x0)))) - (-1.9877362251281738))))),(0.9968529939651489) * ((((((exp((-3.5122388924378365) * ((x1) * (x1)))) + ((x0) * (-1.418351894245e-4))) - (exp(((x1) * (x1)) * (-0.8149750775547346)))) - (exp(((x1) * (x1)) * (-2.5008984856567618)))) + ((-1.072737455368042) * (exp((-0.7690767994996578) * ((x0) * (x0)))))) + (1.9926821376144859)),saturated,751.192000,47,13,37,8,113,124,57,2,86,(0.9968529939651489 * ((1.9926821376144859 + (-1.072737455368042 * exp((-0.7690767994996578 * (x0 * x0))))) + (((exp((-3.5122388924378365 * (x1 * x1))) + (-0.0001418351894245 * x0)) - exp((-0.8149750775547346 * (x1 * x1)))) - exp((-2.5008984856567618 * (x1 * x1)))))),saturated,318.774292,37,8,37,8,113,124,57,1,86,(0.9968529939651489 * (((((exp((-3.5122388924378365 * (x1 * x1))) + (x0 * -0.0001418351894245)) - exp(((x1 * x1) * -0.8149750775547346))) - exp(((x1 * x1) * -2.5008984856567618))) + (-1.072737455368042 * exp((-0.7690767994996578 * (x0 * x0))))) + 1.9926821376144859)) +pagie,134,Operon,Operon,15,1,kept,15.0,7.0,egglog-baseline,((-0.0000022516087483) + (1.0000016689300537 * (((((51.6682472229003906 * x0) * ((-0.0001894439337775) * x0)) + 2.5324115753173828) + ((-46.3591499328613281) / (((13.0968494415283203 * x0) * (2.1884925365447998 * x0)) + 34.0089225769042969))) + (((-1351.7908935546875000) / (((17.2840843200683594 * x1) * (47.4518127441406250 * x1)) + 990.7814331054687500)) + ((0.0012052881065756 * x1) * ((-8.2380609512329102) * x1)))))),(-9.788252341175882e-3) * (((x0) * (x0)) + ((((((x1) * (x1)) + ((165.99479114520634) / (((x1) * (x1)) + (1.2080326581103884)))) + ((162.89497489770397) / (((x0) * (x0)) + (1.186536134285651)))) * (1.0144051369822908)) + (-258.7196837451166))),saturated,10573.086042,45,15,29,7,1573,1593,319,2,72,(-0.009788252341175882 * ((((x0 * x0) + -258.7196837451166) + (165.24149932483223 / ((x0 * x0) + 1.186536134285651))) + (1.0144051369822908 * ((x1 * x1) + (165.99479114520634 / ((x1 * x1) + 1.2080326581103884)))))),saturated,470.833250,29,7,29,7,110,119,46,2,72,(-0.009788252341175882 * ((x0 * x0) + (1.0144051369822908 * ((((x1 * x1) + (165.99479114520634 / ((x1 * x1) + 1.2080326581103884))) + (162.89497489770397 / ((x0 * x0) + 1.186536134285651))) + -255.0457152797652)))) +pagie,135,Operon,Operon,16,1,kept,13.0,8.0,egglog-baseline,(0.0071523520164192 + (0.9955711960792542 * (((exp(((0.0195227134972811 * x1) * ((-151.1385955810546875) * x1))) * ((396057.1250000000000000 * x1) * ((-0.0000024948039936) * x1))) + ((85.4024658203125000 * x1) / ((43.1343650817871094 * x1) - (((-47.3760452270507812) * x1) * exp(((0.9379857182502747 * x0) * ((-1.2238332033157349) * x0))))))) - exp(((185448.0000000000000000 * x1) * ((-0.0000044009234443) * x1)))))),(7.1523520164192e-3) + ((0.9955711960792542) * (((x1) * (((exp((-2.9506354999103657) * ((x1) * (x1)))) * ((x1) * (-0.9880848971437344))) + ((1.9799170721159522) / ((x1) - ((exp((-1.147938066230644) * ((x0) * (x0)))) * ((x1) * (-1.0983364455978666))))))) - (exp(((x1) * (x1)) * (-0.8161424508985464))))),saturated,6944.076875,50,13,36,8,126,138,62,2,85,(0.0071523520164192 + (0.9955711960792542 * ((x1 * ((exp((-2.9506354999103657 * (x1 * x1))) * (-0.9880848971437344 * x1)) + (1.8026507998086212 / (x1 * (exp((-1.147938066230644 * (x0 * x0))) + 0.9104678297874944))))) - exp((-0.8161424508985464 * (x1 * x1)))))),saturated,553.503333,38,8,38,8,139,151,65,2,88,(0.0071523520164192 + (0.9955711960792542 * ((x1 * ((exp((-2.9506354999103657 * (x1 * x1))) * (x1 * -0.9880848971437344)) + (1.9799170721159522 / (x1 + (1.0983364455978666 * (exp((-1.147938066230644 * (x0 * x0))) * x1)))))) - exp(((x1 * x1) * -0.8161424508985464))))) +pagie,136,Operon,Operon,17,1,kept,13.0,8.0,egglog-baseline,(0.0005329695995897 + (0.9996598958969116 * (((2.9738872051239014 + exp(((100.4859924316406250 * x1) * ((-0.0308157186955214) * x1)))) - ((((0.7702111005783081 * x0) * (1.5427883863449097 * x0)) + 1.0054689645767212) * exp((((-1.7126119136810303) * x0) * (0.8499408960342407 * x0))))) - exp(exp((((100.9902267456054688 * x1) * ((-0.0091333612799644) * x1)) + 0.0902468413114548)))))),(5.329695995897e-4) + ((0.9996598958969116) * ((((2.9738872051239014) + (exp((-3.09654807561373) * ((x1) * (x1))))) - ((((1.1882727410061449) * ((x0) * (x0))) + (1.0054689645767212)) * (exp((x0) * ((x0) * (-1.4556189044729706)))))) - (exp(exp((((x1) * (x1)) * (-0.9223802266131381)) + (9.02468413114548e-2)))))),saturated,1779.412625,45,13,37,9,138,152,69,2,90,(0.0005329695995897 + (0.9996598958969116 * (((2.9738872051239014 + exp((-3.09654807561373 * (x1 * x1)))) + (-1.1882727410061449 * (exp((-1.4556189044729706 * (x0 * x0))) * ((x0 * x0) + 0.8461600858783999)))) - exp(exp(((-0.9223802266131381 * (x1 * x1)) + 0.0902468413114548)))))),saturated,586.376667,37,9,37,9,138,152,69,2,90,(0.0005329695995897 + (0.9996598958969116 * (((2.9738872051239014 + exp((-3.09654807561373 * (x1 * x1)))) + (-1.1882727410061449 * (exp((x0 * (x0 * -1.4556189044729706))) * ((x0 * x0) + 0.8461600858783999)))) - exp(exp((((x1 * x1) * -0.9223802266131381) + 0.0902468413114548)))))) +pagie,137,Operon,Operon,18,1,kept,14.0,7.0,egglog-baseline,(0.0000816054744064 + (1.0001157522201538 * (((((-0.0021946807391942) * x0) * (13.7494821548461914 * x0)) + (-8.4071483612060547)) + ((log((((6955.1982421875000000 * x1) * (16.8089103698730469 * x1)) + 27880.0878906250000000)) + log((((85251.5703125000000000 * x0) * (3.5084772109985352 * x0)) + 63949.3125000000000000))) * (((1.2129596471786499 * x1) * ((-0.0008703975472599) * x1)) + 0.3835373818874359))))),((7963.069109938157) + ((((24.277697647852335) + ((log(((x1) * (x1)) + (0.23847621165016322))) + (log(((x0) * (x0)) + (0.213803510917648))))) * (((x1) * (x1)) + (-363.2818393765012))) + (((x0) * (x0)) * (28.582070257300213)))) * (-1.0558793080580105e-3),saturated,8238.436542,45,14,31,7,74,83,42,2,74,(-0.0010558793080580105 * ((((24.277697647852335 + log(((x1 * x1) + 0.23847621165016322))) + log(((x0 * x0) + 0.213803510917648))) * ((x1 * x1) + -363.2818393765012)) + (28.582070257300217 * (278.60365040927337 + (x0 * x0))))),saturated,302.445250,31,7,31,7,97,107,49,1,74,((7963.069109938157 + (((24.277697647852335 + (log(((x1 * x1) + 0.23847621165016322)) + log(((x0 * x0) + 0.213803510917648)))) * ((x1 * x1) + -363.2818393765012)) + ((x0 * x0) * 28.582070257300213))) * -0.0010558793080580105) +pagie,138,Operon,Operon,19,1,kept,12.0,9.0,egglog-baseline,((-0.0000098704376796) + (1.0000013113021851 * ((exp(exp(((-0.1284630000591278) - exp((((-1.7482314109802246) * x0) * (0.6576864719390869 * x0)))))) - exp((0.2162327617406845 + (((-0.0238646697252989) * x1) * (38.5694580078125000 * x1))))) - exp((((-0.9399499893188477) - exp(((1.4266452789306641 * x1) * ((-5.3529791831970215) * x1)))) * 0.8908159136772156))))),(-9.8704376796e-6) + ((1.000001311302185) * (((exp(exp((-0.1284630000591278) - (exp((-1.1497881488206758) * ((x0) * (x0))))))) - (exp((0.2162327617406845) + ((-0.9204473768402301) * ((x1) * (x1)))))) - (exp(((-0.9399499893188477) - (exp(((x1) * (x1)) * (-7.636802479922153)))) * (0.8908159136772156))))),saturated,611.534209,41,12,35,9,108,121,62,2,86,(-9.8704376796e-06 + (1.000001311302185 * ((exp(exp((-0.1284630000591278 - exp((-1.1497881488206758 * (x0 * x0)))))) - exp((0.2162327617406845 + (-0.9204473768402301 * (x1 * x1))))) - exp(((-0.9399499893188477 - exp((-7.636802479922153 * (x1 * x1)))) * 0.8908159136772156))))),saturated,283.167834,35,9,35,9,108,121,62,1,86,(-9.8704376796e-06 + (1.000001311302185 * ((exp(exp((-0.1284630000591278 - exp((-1.1497881488206758 * (x0 * x0)))))) - exp((0.2162327617406845 + (-0.9204473768402301 * (x1 * x1))))) - exp(((-0.9399499893188477 - exp(((x1 * x1) * -7.636802479922153))) * 0.8908159136772156))))) +pagie,139,Operon,Operon,20,1,kept,14.0,8.0,egglog-baseline,((-0.0000002506655221) + (1.0000001192092896 * (((((-0.0002352308656555) * x0) + 1.9712915420532227) - (exp((((-0.0005102988216095) * x1) * (2861.8625488281250000 * x1))) * (1.0045522451400757 + ((0.0003667365817819 * x1) * (3236.1384277343750000 * x1))))) + (exp((((-0.0249317195266485) * x0) * (58.4497108459472656 * x0))) * ((-1.0050251483917236) + (((-0.0338098518550396) * x0) * (35.2732009887695312 * x0))))))),(1.0000001192092896) * (((-2.3523086565550004e-4) * (x0)) + (((exp((-1.4604050862753524) * ((x1) * (x1)))) * ((((x1) * (x1)) + (0.8464303072824536)) * (-1.186810345160357))) + (((exp((-1.4572517972248622) * ((x0) * (x0)))) * ((-1.0050251483917236) + (((x0) * (x0)) * (-1.192581699883334)))) + (1.9712912913877296)))),saturated,11440.378500,47,14,35,8,255,270,91,2,84,(-0.00023523089369720438 * (((-8380.240772801997 + x0) + (5045.300249408862 * (exp((-1.4604050862753524 * (x1 * x1))) * ((x1 * x1) + 0.8464303072824536)))) + (5069.835102464369 * (exp((-1.4572517972248622 * (x0 * x0))) * ((x0 * x0) + 0.842730647711634))))),saturated,1726.332417,37,9,35,8,241,255,85,2,84,(-0.0002352308936972044 * (((x0 + (5045.300249408863 * (exp((-1.4604050862753524 * (x1 * x1))) * ((x1 * x1) + 0.8464303072824536)))) + -8380.240772801993) + (5069.835102464368 * (exp((-1.4572517972248622 * (x0 * x0))) * ((x0 * x0) + 0.842730647711634))))) +pagie,140,Operon,Operon,21,1,kept,13.0,8.0,egglog-baseline,(0.0056000440381467 + (0.9965137243270874 * ((0.7391300201416016 + (exp((((-26.2499160766601562) * x1) * (0.1143757924437523 * x1))) * (((-49.5787200927734375) * x1) * (0.0202242378145456 * x1)))) - (exp(((2.2524499893188477 * x1) * ((-0.3599792122840881) * x1))) + (exp((exp((((-0.7799134254455566) * x0) * (1.5038967132568359 * x0))) * (-1.7264224290847778))) * (-1.2398984432220459)))))),(5.6000440381467e-3) + ((0.9965137243270874) * (((0.7391300201416016) + ((exp((-3.002354952849999) * ((x1) * (x1)))) * (((x1) * (x1)) * (-1.0026918256970403)))) - ((exp(((x1) * (x1)) * (-0.8108351728643014))) + ((exp((exp((-1.172909237152453) * ((x0) * (x0)))) * (-1.7264224290847778))) * (-1.239898443222046))))),saturated,2481.756542,45,13,37,9,159,173,72,2,90,(0.9965137243270874 * ((((0.7391300201416016 + (exp((-3.002354952849999 * (x1 * x1))) * (-1.0026918256970403 * (x1 * x1)))) - exp((-0.8108351728643014 * (x1 * x1)))) + (1.239898443222046 * exp((exp((-1.172909237152453 * (x0 * x0))) * -1.7264224290847778)))) + 0.005619635637159161)),saturated,815.981334,37,9,37,9,151,164,68,2,90,(0.9965137243270874 * ((((0.7391300201416016 + (exp((-3.002354952849999 * (x1 * x1))) * ((x1 * x1) * -1.0026918256970403))) - exp(((x1 * x1) * -0.8108351728643014))) + (1.239898443222046 * exp((exp((-1.172909237152453 * (x0 * x0))) * -1.7264224290847778)))) + 0.005619635637159161)) +pagie,141,Operon,Operon,22,1,kept,12.0,7.0,egglog-baseline,(0.0059260418638587 + (0.9963514208793640 * (((1.9877398014068604 + ((((-0.0255243461579084) * x1) * (39.2693595886230469 * x1)) * exp((((-0.0006980864563957) * x1) * (4245.9946289062500000 * x1))))) - exp((((-0.0209862142801285) * x1) * (38.7934265136718750 * x1)))) - exp((exp((-2.6416935920715332)) + ((0.0101619474589825 * x0) * ((-75.6802444458007812) * x0))))))),(5.9260418638587e-3) + ((0.996351420879364) * ((((1.9877398014068604) + (((-1.002324727539394) * ((x1) * (x1))) * (exp(((x1) * (x1)) * (-2.9640713443683393))))) - (exp(((x1) * (x1)) * (-0.8141271614763362)))) - (exp((7.124051495942774e-2) + ((-0.7690586677411797) * ((x0) * (x0))))))),saturated,1079.186042,43,12,34,8,140,153,65,2,82,(0.0059260418638587 + (0.996351420879364 * (((1.9877398014068604 + ((-1.002324727539394 * (x1 * x1)) * exp((-2.9640713443683393 * (x1 * x1))))) - exp((-0.8141271614763362 * (x1 * x1)))) - exp((0.07124051495942774 + (-0.7690586677411797 * (x0 * x0))))))),saturated,524.927291,34,8,34,8,140,153,65,1,82,(0.0059260418638587 + (0.996351420879364 * (((1.9877398014068604 + ((-1.002324727539394 * (x1 * x1)) * exp(((x1 * x1) * -2.9640713443683393)))) - exp(((x1 * x1) * -0.8141271614763362))) - exp((0.07124051495942774 + (-0.7690586677411797 * (x0 * x0))))))) +pagie,142,Operon,Operon,23,1,kept,13.0,8.0,egglog-baseline,(0.0007810645620339 + (0.9995014071464539 * (((((-1.0057448148727417) + ((0.7655488848686218 * x0) * ((-1.5458080768585205) * x0))) * exp(((0.4586827158927917 * x0) * ((-3.1686115264892578) * x0)))) + (2.9749636650085449 + exp(((-0.3110347986221313) + ((3.0109248161315918 * x1) * ((-1.1550782918930054) * x1)))))) - exp(exp(((23.0867309570312500 * x1) * ((-0.0377156287431717) * x1))))))),(7.810645620339e-4) + ((0.9995014071464539) * (((((-1.0057448148727417) + ((-1.1833916494599492) * ((x0) * (x0)))) * (exp(((x0) * (x0)) * (-1.4533873405792972)))) + ((2.974963665008545) + (exp((-0.3110347986221313) + ((-3.4778538936355403) * ((x1) * (x1))))))) - (exp(exp(((x1) * (x1)) * (-0.8707305736688796)))))),saturated,1540.907292,45,13,37,9,151,166,74,2,90,(0.0007810645620339 + (0.9995014071464539 * ((((-1.0057448148727417 + (-1.1833916494599492 * (x0 * x0))) * exp((-1.4533873405792972 * (x0 * x0)))) + (2.974963665008545 + exp((-0.3110347986221313 + (-3.4778538936355403 * (x1 * x1)))))) - exp(exp((-0.8707305736688796 * (x1 * x1))))))),saturated,361.634625,37,9,37,9,151,166,74,1,90,(0.0007810645620339 + (0.9995014071464539 * ((((-1.0057448148727417 + (-1.1833916494599492 * (x0 * x0))) * exp(((x0 * x0) * -1.4533873405792972))) + (2.974963665008545 + exp((-0.3110347986221313 + (-3.4778538936355403 * (x1 * x1)))))) - exp(exp(((x1 * x1) * -0.8707305736688796)))))) +pagie,143,Operon,Operon,24,1,kept,13.0,9.0,egglog-baseline,(0.0049892361275852 + (0.9968150258064270 * (exp(((-0.7375680804252625) / (exp((((-7.8003888130187988) * x1) * ((-0.0912654846906662) * x1))) - 0.9434194564819336))) - (exp(((((-11.2235412597656250) * x0) * (0.0819300860166550 * x0)) - (exp(((((-56.8530616760253906) * x0) * (0.1006406396627426 * x0)) - 1.4147840738296509)) - 0.2206120193004608))) - 0.9837305545806885)))),(0.996815025806427) * (((exp((-0.7375680804252625) / ((exp((0.7119062657958111) * ((x1) * (x1)))) + (-0.9434194564819336)))) - (exp(((-0.919545700824074) * ((x0) * (x0))) - ((exp((((x0) * (x0)) * (-5.721728493860552)) + (-1.4147840738296509))) + (-0.2206120193004608))))) + (0.9887357320694095)),saturated,804.962750,41,13,33,9,125,141,71,2,84,(0.996815025806427 * (0.9887357320694095 + (exp((-0.7375680804252625 / (exp((0.7119062657958111 * (x1 * x1))) + -0.9434194564819336))) - exp(((-0.919545700824074 * (x0 * x0)) - (exp(((-5.721728493860552 * (x0 * x0)) + -1.4147840738296509)) + -0.2206120193004608)))))),saturated,324.256375,33,9,33,9,125,141,71,1,84,(0.996815025806427 * ((exp((-0.7375680804252625 / (exp((0.7119062657958111 * (x1 * x1))) + -0.9434194564819336))) - exp(((-0.919545700824074 * (x0 * x0)) - (exp((((x0 * x0) * -5.721728493860552) + -1.4147840738296509)) + -0.2206120193004608)))) + 0.9887357320694095)) +pagie,144,Operon,Operon,25,1,kept,13.0,7.0,egglog-baseline,((-0.0000055456266637) + (1.0000027418136597 * ((((exp((((-4.2250251770019531) * x1) * (1.4258037805557251 * x1))) + exp((((-1.1716369390487671) * x0) * (5.2204809188842773 * x0)))) * 0.2746707499027252) - (-1.9792732000350952)) - ((exp((((-1.7990413904190063) * x1) * (0.5140095949172974 * x1))) + exp(((1.8088867664337158 * x0) * ((-0.5105684995651245) * x0)))) * 1.2522673606872559)))),(1.252270794171011) * (((((exp((-6.024056870312506) * ((x1) * (x1)))) + (exp((-6.11650828416407) * ((x0) * (x0))))) * (0.21933874388611657)) - ((exp(((x1) * (x1)) * (-0.9247245363287249))) + (exp(((x0) * (x0)) * (-0.9235606022212721))))) + (1.580547187093814)),saturated,2069.105958,45,13,33,7,158,168,60,2,76,(0.2746715029987392 * ((7.205964432414428 + (exp((-6.024056870312506 * (x1 * x1))) + exp((-6.11650828416407 * (x0 * x0))))) + (-4.559158050614224 * (exp((-0.9247245363287249 * (x1 * x1))) + exp((-0.9235606022212721 * (x0 * x0))))))),saturated,272.566667,33,7,33,7,93,102,48,1,76,(1.252270794171011 * ((((exp((-6.024056870312506 * (x1 * x1))) + exp((-6.11650828416407 * (x0 * x0)))) * 0.21933874388611657) - (exp(((x1 * x1) * -0.9247245363287249)) + exp(((x0 * x0) * -0.9235606022212721)))) + 1.580547187093814)) +pagie,145,Operon,Operon,26,1,kept,12.0,8.0,egglog-baseline,((-0.0001599656243343) + (1.0001020431518555 * ((exp(((25.9337768554687500 * x1) * ((-0.1575351804494858) * x1))) - (exp(exp(exp(((17.7164573669433594 * x1) * ((-0.0314616635441780) * x1))))) * 0.1594999134540558)) - ((-1.1739871501922607) - (exp((exp((((-0.3572374880313873) * x0) * (3.2828271389007568 * x0))) * (-1.7236351966857910))) * 1.2407730817794800))))),(1.0001020431518555) * (((exp((exp((-1.1727489207421724) * ((x0) * (x0)))) * (-1.723635196685791))) * (1.24077308177948)) + (((exp((-4.085482216662968) * ((x1) * (x1)))) - ((exp(exp(exp(((x1) * (x1)) * (-0.5573892208735457))))) * (0.1594999134540558))) + (1.173827200889657))),saturated,2357.665542,41,12,33,8,236,252,92,2,79,(1.0001020431518555 * ((1.1738272008896573 + (exp((-4.085482216662968 * (x1 * x1))) + (-0.1594999134540558 * exp(exp(exp((-0.5573892208735457 * (x1 * x1)))))))) + (exp((exp((-1.1727489207421724 * (x0 * x0))) * -1.723635196685791)) * 1.24077308177948))),saturated,735.114667,33,8,33,8,208,222,80,2,79,(1.0001020431518555 * ((exp((exp((-1.1727489207421724 * (x0 * x0))) * -1.723635196685791)) * 1.24077308177948) + ((exp((-4.085482216662968 * (x1 * x1))) + (-0.1594999134540558 * exp(exp(exp(((x1 * x1) * -0.5573892208735457)))))) + 1.173827200889657))) +pagie,146,Operon,Operon,27,1,kept,13.0,6.0,egglog-baseline,((-0.0639297738671303) + (1.0392827987670898 * ((1.9780735969543457 + ((exp((((-2.4385366439819336) * x1) * (2.2576689720153809 * x1))) * ((((-10.0973072052001953) * x1) * (391.6708374023437500 * x1)) * (((-0.0011133030056953) * x1) * ((-1.3449389934539795) * x1)))) - exp((((-1.7093311548233032) * x1) * (0.4650919437408447 * x1))))) - exp((((-1.2320897579193115) * x0) * (0.5889392495155334 * x0)))))),(-6.39297738671303e-2) + ((1.0392827987670898) * (((1.9780735969543457) + (((exp((-5.505408518240529) * ((x1) * (x1)))) * ((-5.921650519847204) * (((x1) * (x1)) * ((x1) * (x1))))) - (exp(((x1) * (x1)) * (-0.7949961492935529))))) - (exp((-0.7256260173647746) * ((x0) * (x0)))))),saturated,3037.407958,48,13,36,7,191,201,61,2,81,(-0.0639297738671303 + (1.0392827987670898 * ((1.9780735969543457 + ((exp((-5.505408518240529 * (x1 * x1))) * (-5.921650519847204 * ((x1 * x1) * (x1 * x1)))) - exp((-0.7949961492935529 * (x1 * x1))))) - exp((-0.7256260173647746 * (x0 * x0)))))),saturated,374.322792,36,7,36,7,191,201,61,1,81,(-0.0639297738671303 + (1.0392827987670898 * ((1.9780735969543457 + ((exp((-5.505408518240529 * (x1 * x1))) * (-5.921650519847204 * ((x1 * x1) * (x1 * x1)))) - exp(((x1 * x1) * -0.7949961492935529)))) - exp((-0.7256260173647746 * (x0 * x0)))))) +pagie,147,Operon,Operon,28,1,kept,13.0,7.0,egglog-baseline,((-0.0000072608104347) + (1.0000052452087402 * (((-1.2524669170379639) * (exp((((-0.8438813686370850) * x0) * (1.0945762395858765 * x0))) + (exp((((-0.6344506740570068) * x1) * (1.4577195644378662 * x1))) + (-1.5802922248840332)))) + (0.2748360037803650 * (exp(((19.0184898376464844 * x0) * ((-0.3212499320507050) * x0))) + exp((((-0.8187244534492493) * x1) * (7.3472332954406738 * x1)))))))),(-1.252473486488384) * (((exp((-0.9248511602436906) * ((x1) * (x1)))) + ((exp((-0.9236924951393632) * ((x0) * (x0)))) + (((exp(((x0) * (x0)) * (-6.109688568050957))) + (exp(((x1) * (x1)) * (-6.015359564173792)))) * (-0.21943573921324933)))) + (-1.5802864277070767)),saturated,1341.657750,45,13,33,7,158,168,60,2,76,(-1.252473486488384 * ((-1.5802864277070765 + (exp((-0.9236924951393632 * (x0 * x0))) + exp((-0.9248511602436906 * (x1 * x1))))) + (-0.2194357392132493 * (exp((-6.109688568050957 * (x0 * x0))) + exp((-6.015359564173792 * (x1 * x1))))))),saturated,363.329750,33,7,33,7,158,168,60,1,76,(-1.252473486488384 * ((exp((-0.9248511602436906 * (x1 * x1))) + (exp((-0.9236924951393632 * (x0 * x0))) + ((exp(((x0 * x0) * -6.109688568050957)) + exp(((x1 * x1) * -6.015359564173792))) * -0.21943573921324933))) + -1.5802864277070767)) +pagie,148,Operon,Operon,29,1,kept,13.0,7.0,egglog-baseline,((-0.0000072977472882) + (1.0000039339065552 * ((0.2748106420040131 * (exp(((0.8403434157371521 * x1) * ((-7.1597433090209961) * x1))) + exp(((2.1294348239898682 * x0) * ((-2.8703227043151855) * x0))))) - ((-1.9792662858963013) + (1.2524309158325195 * (exp(((1.7403106689453125 * x1) * ((-0.5314179658889771) * x1))) + exp(((0.6934723854064941 * x0) * ((-1.3319598436355591) * x0))))))))),(0.27481172308339913) * ((((exp((-6.016643148103924) * ((x1) * (x1)))) + (exp((-6.1121651226575295) * ((x0) * (x0))))) + (((exp(((x1) * (x1)) * (-0.9248323557058029))) + (exp(((x0) * (x0)) * (-0.9236773700316121)))) * (-4.557432371247945))) + (7.202264707597524)),saturated,1682.295375,45,13,33,7,158,168,60,2,76,(0.27481172308339913 * ((7.202264707597524 + (exp((-6.016643148103924 * (x1 * x1))) + exp((-6.1121651226575295 * (x0 * x0))))) + (-4.557432371247945 * (exp((-0.9248323557058029 * (x1 * x1))) + exp((-0.9236773700316121 * (x0 * x0))))))),saturated,342.527291,33,7,33,7,158,168,60,1,76,(0.27481172308339913 * (((exp((-6.016643148103924 * (x1 * x1))) + exp((-6.1121651226575295 * (x0 * x0)))) + ((exp(((x1 * x1) * -0.9248323557058029)) + exp(((x0 * x0) * -0.9236773700316121))) * -4.557432371247945)) + 7.202264707597524)) +pagie,149,Operon,Operon,30,1,kept,13.0,7.0,egglog-baseline,((-0.0166908428072929) + (1.0103557109832764 * ((-1.0929064750671387) * ((((-1.8171284198760986) + exp(((0.4634887576103210 * x0) * ((-1.7064006328582764) * x0)))) + ((exp((((-0.0545985996723175) * x1) * (290.8274841308593750 * x1))) + exp((((-6.8895225524902344) * x0) * (4.0632553100585938 * x0)))) * (-0.0849393755197525))) + exp((((-0.0165483560413122) * x1) * (47.9090309143066406 * x1))))))),(-1.1042242986546853) * ((exp((-0.790897509308948) * ((x0) * (x0)))) 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x1)) + ((-83.5919265747070312) - ((-39.5477447509765625) * x1))) / exp(((0.0681112110614777 * x0) * (14.6775512695312500 * x0)))))))),(-6.445771578e-5) + ((((x1) * (((x1) * (x1)) + (0.2513057822290573))) + (0.5279611222045847)) * (((exp((1.9995476007461548) * (x0))) * (((17.63513831255143) + ((x1) * ((x1) + (-8.343269227198043)))) / (exp((0.999705792384703) * ((x0) * (x0)))))) * (5.728173365985096e-3))),saturated,13571.608959,49,14,35,8,750,768,152,2,84,(-6.445771578e-05 + ((0.047791692572478874 * ((x1 * ((x1 * x1) + 0.25130578222905736)) + 0.5279611222045848)) * ((exp((1.9995476007461548 * x0)) * ((2.113696421908935 - x1) + (0.11985709351678615 * (x1 * x1)))) / exp((0.999705792384703 * (x0 * x0)))))),saturated,987.204583,33,8,33,8,268,279,73,2,81,(-6.445771578e-05 + (((x1 * ((x1 * x1) + 0.2513057822290573)) + 0.5279611222045847) * (((17.63513831255143 + (x1 * (x1 + -8.343269227198043))) * (exp((1.9995476007461548 * x0)) / exp((0.999705792384703 * (x0 * x0))))) * 0.005728173365985096))) +kotanchek,121,Operon,Operon,2,1,kept,13.0,10.0,egglog-baseline,(0.0019190539605916 + (0.9954085946083069 * ((exp((3.0602750778198242 * x0)) / exp(((exp(((0.4211926460266113 * x0) + 1.6726008653640747)) - ((1.3422309160232544 * x1) - exp(((-1.2979059219360352) * x0)))) + ((0.0003775433578994 * x1) * (1131.5198974609375000 * x1))))) * ((((-0.0027062874287367) * x1) * ((-6793.8808593750000000) * x1)) + (((-24.5153598785400391) * x1) - (-29.1849021911621094)))))),(1.9190539605916e-3) + (((((x1) * ((x1) + (-1.3333569413975992))) + (1.5873269702501887)) * ((exp((3.060275077819824) * (x0))) * (18.301775890134763))) / (exp(((exp(((x0) * (0.4211926460266113)) + (1.6726008653640747))) + (exp((x0) * (-1.2979059219360352)))) + ((x1) * (((x1) * (0.4271978216173871)) + (-1.3422309160232544)))))),saturated,6519.905750,47,13,37,10,177,192,78,2,94,(0.0019190539605916 + ((18.301775890134767 * ((x1 * (x1 + -1.3333569413975992)) + 1.5873269702501889)) * (exp((3.060275077819824 * x0)) / exp((((x1 * ((0.4271978216173871 * x1) + -1.3422309160232544)) + exp(((0.4211926460266113 * x0) + 1.6726008653640747))) + exp((-1.2979059219360352 * x0))))))),saturated,338.654458,37,10,37,10,177,192,78,1,94,(0.0019190539605916 + ((((x1 * (x1 + -1.3333569413975992)) + 1.5873269702501887) * (exp((3.060275077819824 * x0)) * 18.301775890134763)) / exp(((exp(((x0 * 0.4211926460266113) + 1.6726008653640747)) + exp((x0 * -1.2979059219360352))) + (x1 * ((x1 * 0.4271978216173871) + -1.3422309160232544)))))) +kotanchek,122,Operon,Operon,3,1,kept,11.0,10.0,egglog-baseline,((-0.0000014371197494) + (1.0000287294387817 * ((((((0.0082893725484610 * x1) - (-0.0444908216595650)) / exp(log((exp((0.3769945502281189 * x1)) + ((-0.9402246475219727) * x1))))) - (exp((0.0002179348812206 * x1)) + (-1.0048899650573730))) / exp(((0.3332124650478363 * x0) * (3.0010888576507568 * x0)))) / exp(((-2.0000004768371582) * x0))))),(-1.4371197494e-6) + ((1.0000287294387817) * (((((((8.289372548461e-3) * (x1)) - (-4.4490821659565e-2)) / ((exp((x1) * (0.3769945502281189))) + ((x1) * (-0.9402246475219727)))) - ((exp((x1) * (2.179348812206e-4))) + (-1.004889965057373))) / (exp((1.0000002160854038) * ((x0) * (x0))))) / (exp((x0) * (-2.000000476837158))))),saturated,801.440292,41,11,37,10,187,205,91,2,94,(-1.4371197494e-06 + (((((0.008289372548461 * x1) + 0.044490821659565) / (exp((0.3769945502281189 * x1)) + (-0.9402246475219727 * x1))) - (exp((0.0002179348812206 * x1)) + -1.004889965057373)) * ((1.0000287294387817 / exp((1.0000002160854038 * (x0 * x0)))) / exp((-2.000000476837158 * x0))))),saturated,804.231291,37,10,37,10,187,205,91,2,94,(-1.4371197494e-06 + (((((0.008289372548461 * x1) + 0.044490821659565) / (exp((x1 * 0.3769945502281189)) + (x1 * -0.9402246475219727))) - (exp((x1 * 0.0002179348812206)) + -1.004889965057373)) * ((1.0000287294387817 / exp((1.0000002160854038 * (x0 * x0)))) / exp((x0 * -2.000000476837158))))) 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(exp(exp((0.5965437889099121 * x0))) + (-1.426652431488037 * x0))) / (exp((0.4577265381813049 * x0)) + (-0.9410613179206848 * x0))))),saturated,1043.966041,39,10,39,10,292,305,99,2,97,(1.82324292837e-05 + ((exp((-1.0928704738616943 * x0)) + (x0 * 2.6822447776794434)) * (((-1.0000207089543989 / (-7.449989547754554 - (x1 * (x1 + -4.999997726333168)))) / (exp(exp((x0 * 0.5965437889099121))) + (x0 * -1.426652431488037))) / (exp((x0 * 0.4577265381813049)) + (x0 * -0.9410613179206848))))) +kotanchek,124,Operon,Operon,5,1,kept,13.0,10.0,egglog-baseline,(0.0000468041762360 + (0.9997506737709045 * (exp(((-0.0447766110301018) * x0)) - (0.8708053827285767 + ((((4.6947760581970215 * x1) - exp((0.6812457442283630 * x1))) * ((-2.2019169330596924) * x1)) * (((exp(((-5.3575110435485840) * x0)) + (15.1773414611816406 * x0)) * exp(((-2.3313734531402588) * x0))) * ((((-0.0015166908269748) * x1) * (4.4051661491394043 * x0)) - ((-0.0298569388687611) * x0)))))))),(0.9997506737709045) * (((exp((-4.47766110301018e-2) * (x0))) - (((x0) * ((x1) + (-4.468748624763382))) * (((x1) * ((((x1) * (4.6947760581970215)) - (exp((x1) * (0.681245744228363)))) * (((exp((x0) * (-5.357511043548584))) + ((x0) * (15.17734146118164))) * (exp((x0) * (-2.331373453140259)))))) * (1.471161275443955e-2)))) + (-0.8707585668799217)),saturated,12071.518333,49,13,41,10,852,865,175,2,100,(0.9997506737709045 * (-0.8707585668799217 + (exp((-0.0447766110301018 * x0)) + (-0.01471161275443955 * ((x0 * (x1 + -4.468748624763382)) * (((exp((-5.357511043548584 * x0)) + (15.17734146118164 * x0)) * exp((-2.331373453140259 * x0))) * (((4.6947760581970215 * x1) - exp((0.681245744228363 * x1))) * x1))))))),saturated,5534.811834,41,10,41,10,951,964,184,2,100,(0.9997506737709045 * ((exp((-0.0447766110301018 * x0)) + (-0.01471161275443955 * ((x0 * (x1 + -4.468748624763382)) * (x1 * (((x1 * 4.6947760581970215) - exp((x1 * 0.681245744228363))) * ((exp((x0 * -5.357511043548584)) + (x0 * 15.17734146118164)) * exp((x0 * -2.331373453140259)))))))) + -0.8707585668799217)) +kotanchek,125,Operon,Operon,6,1,kept,12.0,11.0,egglog-baseline,(0.0015015223762020 + (0.9966979622840881 * ((exp(1.7057397365570068) + ((2.2468583583831787 * x1) + (((2.7354996204376221 * x1) + ((-5.6414661407470703) * exp((0.1865983307361603 * x1)))) / exp(((-0.6834985017776489) * x1))))) * (((0.0036516967229545 * x1) - exp((1.9130901098251343 * x0))) / (exp(exp((0.7873576283454895 * x0))) + ((-2.2153601646423340) * x0)))))),(1.501522376202e-3) + ((((((x1) + ((exp((x1) * (0.1865983307361603))) * (-2.062316550365507))) / (exp((x1) * (-0.6834985017776489)))) + ((x1) * (0.8213703784114321))) + (2.0125964221487602)) * (((((x1) * (3.6516967229545e-3)) - (exp((1.9130901098251343) * (x0)))) / ((exp(exp((x0) * (0.7873576283454895)))) + ((x0) * (-2.215360164642334)))) * (2.7264668975190745))),saturated,3609.442417,45,12,42,11,153,167,73,2,105,(0.001501522376202 + ((-5.622837806777284 * (((exp((0.1865983307361603 * x1)) + (-0.48489161366753747 * x1)) / exp((-0.6834985017776489 * x1))) + (-0.3982756082066352 * (x1 + 2.4502909710978544)))) * (((0.0036516967229545 * x1) - exp((1.9130901098251343 * x0))) / (exp(exp((0.7873576283454895 * x0))) + (-2.215360164642334 * x0))))),saturated,379.191000,42,11,42,11,171,186,79,1,105,(0.001501522376202 + (((((x1 + (exp((x1 * 0.1865983307361603)) * -2.062316550365507)) / exp((x1 * -0.6834985017776489))) + (x1 * 0.8213703784114321)) + 2.0125964221487602) * ((((x1 * 0.0036516967229545) - exp((1.9130901098251343 * x0))) / (exp(exp((x0 * 0.7873576283454895))) + (x0 * -2.215360164642334))) * 2.7264668975190745))) +kotanchek,126,Operon,Operon,7,1,kept,12.0,10.0,egglog-baseline,((-0.0000124719463201) + (0.9946426749229431 * (exp(((exp(exp(((1.1653105020523071 * x1) - exp((0.4197142422199249 * x1))))) - ((0.9311969876289368 * x0) * (1.0738922357559204 * x0))) - (((-1.9999958276748657) * x0) - (-5.5033035278320312)))) * (exp((0.2837287485599518 * x1)) - ((-2.8964312076568604) - (((-0.2071333527565002) * x1) - exp(((-0.6339063644409180) * x1)))))))),(-1.24719463201e-5) + ((0.9946426749229431) * ((exp((exp(exp(((1.1653105020523071) * (x1)) - (exp((x1) * (0.4197142422199249)))))) + ((-5.503303527832031) + ((x0) * ((1.9999958276748657) + ((x0) * (-1.000005214974017))))))) * ((exp((x1) * (0.2837287485599518))) - ((-2.8964312076568604) - (((x1) * (-0.2071333527565002)) - (exp((x1) * (-0.633906364440918)))))))),saturated,8485.896958,45,12,41,11,259,280,109,2,103,(-1.24719463201e-05 + (0.9946426749229431 * (exp((((x0 * (1.9999958276748657 + (-1.000005214974017 * x0))) + exp(exp(((1.1653105020523071 * x1) - exp((0.4197142422199249 * x1)))))) + -5.503303527832031)) * (exp((0.2837287485599518 * x1)) - (-2.8964312076568604 - ((-0.2071333527565002 * x1) - exp((-0.633906364440918 * x1)))))))),saturated,407.987291,41,11,41,11,259,280,109,1,103,(-1.24719463201e-05 + (0.9946426749229431 * (exp((exp(exp(((1.1653105020523071 * x1) - exp((x1 * 0.4197142422199249))))) + (-5.503303527832031 + (x0 * (1.9999958276748657 + (x0 * -1.000005214974017)))))) * (exp((x1 * 0.2837287485599518)) - (-2.8964312076568604 - ((x1 * -0.2071333527565002) - exp((x1 * -0.633906364440918)))))))) +kotanchek,127,Operon,Operon,8,1,kept,14.0,9.0,egglog-baseline,((-0.0148077905178070) + (1.0382655858993530 * (((((0.0000003963598942 * x0) * (1793.5753173828125000 * x0)) + (0.0000325083929056 * x1)) * ((((68.1199569702148438 * x0) + 50.2617149353027344) + ((0.1230096146464348 * x1) * (355.7100830078125000 * x0))) * (exp(((-2.7948594093322754) * x0)) * (exp(((-3.0556442737579346) * x1)) + (2.6853957176208496 * x1))))) * (((-5.3364686965942383) * x1) + 22.9583053588867188)))),(-1.4807790517807e-2) + (((50.26171493530273) + ((x0) * ((68.11995697021484) + ((x1) * (43.75576023664235))))) * (((exp((x0) * (-2.7948594093322754))) * ((exp((x1) * (-3.0556442737579346))) + ((x1) * (2.6853957176208496)))) * ((((x1) + (-4.302153102395002)) * ((x1) + (((x0) * (x0)) * (21.86823953746175)))) * (-1.80118335767207e-4)))),saturated,3969.324333,49,14,37,9,717,734,146,2,91,(-0.014807790517807 + (((-0.007881214714052953 * ((x1 + (21.868239537461754 * (x0 * x0))) * ((x0 * (x1 + 1.556822612652704)) + 1.1486879593332286))) * (x1 + -4.302153102395002)) * (exp((-2.7948594093322754 * x0)) * (exp((-3.0556442737579346 * x1)) + (2.6853957176208496 * x1))))),saturated,4286.688917,39,10,37,9,674,686,117,2,91,(-0.014807790517807 + (((-0.007881214714052953 * ((x1 + -4.302153102395002) * ((x0 * (x1 + 1.556822612652704)) + 1.1486879593332284))) * (x1 + ((x0 * x0) * 21.86823953746175))) * (exp((x0 * -2.7948594093322754)) * (exp((x1 * -3.0556442737579346)) + (x1 * 2.6853957176208496))))) +kotanchek,128,Operon,Operon,9,1,kept,12.0,11.0,egglog-baseline,(0.0000034507245346 + (0.9999927282333374 * exp(((((2.4630110263824463 * x0) * (((-0.4060201048851013) * x0) + 0.8120366930961609)) - ((((-0.8767948746681213) * x1) / (((-0.3692416250705719) * x1) + exp((0.4968747496604919 * x1)))) + (0.7100588083267212 * x1))) - exp(((1.4052648544311523 - exp((0.1799458712339401 * x1))) * exp(exp((0.2937204837799072 * x1))))))))),(3.4507245346e-6) + ((0.9999927282333374) * (exp((((-1.000031995264962) * ((x0) * ((x0) + (-1.9999913386701804)))) - ((x1) * ((0.7100588083267212) + ((-0.8767948746681213) / (((x1) * (-0.3692416250705719)) + (exp((x1) * (0.4968747496604919)))))))) - (exp(((1.4052648544311523) - (exp((x1) * (0.1799458712339401)))) * (exp(exp((x1) * (0.2937204837799072))))))))),saturated,8216.473417,45,12,41,11,116,130,67,2,103,(3.4507245346e-06 + (0.9999927282333374 * exp(((((-1.000031995264962 * x0) * (x0 + -1.9999913386701804)) + (x1 * ((0.8767948746681213 / ((-0.3692416250705719 * x1) + exp((0.4968747496604919 * x1)))) + -0.7100588083267212))) - exp(((1.4052648544311523 - exp((0.1799458712339401 * x1))) * exp(exp((0.2937204837799072 * x1))))))))),saturated,286.970875,41,11,41,11,115,129,67,1,103,(3.4507245346e-06 + (0.9999927282333374 * exp((((-1.000031995264962 * (x0 * (x0 + -1.9999913386701804))) - (x1 * (0.7100588083267212 + (-0.8767948746681213 / ((x1 * -0.3692416250705719) + exp((x1 * 0.4968747496604919))))))) - exp(((1.4052648544311523 - exp((x1 * 0.1799458712339401))) * exp(exp((x1 * 0.2937204837799072))))))))) +kotanchek,129,Operon,Operon,10,1,kept,13.0,12.0,egglog-baseline,((-0.0019379730802029) + (1.0046592950820923 * ((((996.6720581054687500 + ((-386.7166748046875000) * x0)) + exp((1.7618920803070068 * x0))) - (((1074.8041992187500000 * x0) + 882.8044433593750000) * exp(((-1.9537824392318726) * x0)))) / (((((-15.7029571533203125) * x1) * ((-22.8576602935791016) * x1)) + 2638.8918457031250000) + (exp((2.8161077499389648 * x0)) - (1794.9840087890625000 * x1)))))),(-1.9379730802029e-3) + ((1.0046592950820923) * (((((996.6720581054688) + ((-386.7166748046875) * (x0))) + (exp((x0) * (1.7618920803070068)))) - ((((x0) * (1074.80419921875)) + (882.804443359375)) * (exp((x0) * (-1.9537824392318726))))) / ((2638.891845703125) + ((exp((x0) * (2.816107749938965))) + ((x1) * ((358.9328602152236) * ((x1) + (-5.000890717313407)))))))),saturated,2933.706208,44,13,40,12,287,308,113,2,107,(-0.0019379730802029 + (1.0046592950820923 * ((((996.6720581054688 + (-386.7166748046875 * x0)) + exp((1.7618920803070068 * x0))) + (-1074.80419921875 * (exp((-1.9537824392318726 * x0)) * (x0 + 0.8213630389619475)))) / (((x1 * ((358.9328602152236 * x1) + -1794.9840087890625)) + exp((2.816107749938965 * x0))) + 2638.891845703125)))),saturated,936.147042,40,12,40,12,282,302,110,2,107,(-0.0019379730802029 + (1.0046592950820923 * ((((996.6720581054688 + (-386.7166748046875 * x0)) + exp((x0 * 1.7618920803070068))) + (-1074.80419921875 * (exp((x0 * -1.9537824392318726)) * (x0 + 0.8213630389619475)))) / (2638.891845703125 + (exp((x0 * 2.816107749938965)) + (x1 * (358.9328602152236 * (x1 + -5.000890717313407)))))))) +kotanchek,130,Operon,Operon,11,1,kept,13.0,10.0,egglog-baseline,(0.0006644097738899 + (0.9983761310577393 * ((((exp((0.3564732372760773 * x1)) * ((2.8750302791595459 * x1) + (-16.9938793182373047))) + (8.4957685470581055 + 8.5495948791503906)) + (3.2266986370086670 * x1)) / exp((((((-0.4841774106025696) * x0) + 0.9682721495628357) * ((-2.0647206306457520) * x0)) + ((0.0918822064995766 * x1) * ((3.7386786937713623 * x1) + (-3.2311415672302246)))))))),(6.644097738899e-4) + ((0.9983761310577393) * (((((exp((0.3564732372760773) * (x1))) * (((x1) * (2.875030279159546)) + (-16.993879318237305))) + (17.045363426208496)) + ((x1) * (3.226698637008667))) / (exp(((0.9996910885637647) * ((x0) * ((x0) + (-1.999829253408992)))) + ((0.34351804777666756) * ((x1) * ((x1) + (-0.8642469256888284)))))))),saturated,8219.667708,43,14,35,10,192,208,85,2,92,(0.0006644097738899 + ((3.2214589013059935 * ((x1 + 5.282601613521155) + (0.8910129524289453 * (exp((0.3564732372760773 * x1)) * (x1 + -5.9108522930774505))))) / exp((((0.9996910885637647 * x0) * (x0 + -1.999829253408992)) + ((0.3435180477766676 * x1) * (x1 + -0.8642469256888284)))))),saturated,1261.205416,37,11,35,10,192,208,85,2,92,(0.0006644097738899 + ((3.2214589013059935 * ((x1 + 5.282601613521155) + (0.8910129524289453 * (exp((0.3564732372760773 * x1)) * (x1 + -5.9108522930774505))))) / exp(((0.9996910885637647 * (x0 * (x0 + -1.999829253408992))) + (0.34351804777666756 * (x1 * (x1 + -0.8642469256888284))))))) +kotanchek,131,Operon,Operon,12,1,kept,14.0,12.0,egglog-baseline,((-0.0007296766270883) + (1.0011714696884155 * (((((-796.1662597656250000) * x0) - (-3327.3220214843750000)) + ((((-416.2025756835937500) * x0) + 5066.6352539062500000) / ((1.3030259609222412 * x0) - exp((0.6703483462333679 * x0))))) / (((-34525.6953125000000000) - exp((2.9498600959777832 * x0))) - ((((-0.1925518661737442) * x0) + ((-19.2132587432861328) * x1)) * (((-239.9505157470703125) * x1) + 1202.1625976562500000)))))),(-7.296766270883e-4) + ((((x0) - (4.179179889466643)) + ((((x0) + (-12.173483658971914)) / (((x0) * (1.3030259609222412)) - (exp((x0) * (0.6703483462333679))))) * (0.522758369346266))) * ((-797.0989444058796) / (((-34525.6953125) - (exp((x0) * (2.949860095977783)))) + ((((x1) + (-5.010043816381869)) * ((x0) + ((x1) * (99.7822515308657)))) * (-46.20291959645079))))),saturated,1565.875833,45,14,41,12,150,166,78,2,109,(-0.0007296766270883 + ((-797.0989444058796 / ((-34525.6953125 - exp((2.949860095977783 * x0))) + (-46.20291959645078 * ((x1 + -5.010043816381869) * (x0 + (99.7822515308657 * x1)))))) * ((x0 + -4.179179889466643) + (0.522758369346266 * ((x0 + -12.173483658971914) / ((1.3030259609222412 * x0) - exp((0.6703483462333679 * x0)))))))),saturated,517.959417,41,12,41,12,150,166,78,2,109,(-0.0007296766270883 + (((x0 + -4.179179889466643) + (((x0 + -12.173483658971914) / ((x0 * 1.3030259609222412) - exp((x0 * 0.6703483462333679)))) * 0.522758369346266)) * (-797.0989444058796 / ((-34525.6953125 - exp((x0 * 2.949860095977783))) + (((x1 + -5.010043816381869) * (x0 + (x1 * 99.7822515308657))) * -46.20291959645079))))) 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(297.547607421875 * x1))) * exp((-1.0667701959609985 * x1)))) / exp(((x0 * ((exp((-0.1313982456922531 * x0)) * -6.930891990661621) + 4.3688435554504395)) + -3.746926784515381)))),saturated,823.521125,41,11,41,11,227,247,104,2,103,(0.0036648171953857 + (((x1 * 0.7371884750154898) / ((exp(exp((0.5352578163146973 * x0))) * ((exp((x1 * 2.5961806774139404)) + -1.9263886213302612) + (297.547607421875 * x1))) * exp((x1 * -1.0667701959609985)))) / exp(((x0 * ((exp((x0 * -0.1313982456922531)) * -6.930891990661621) + 4.3688435554504395)) + -3.746926784515381)))) +kotanchek,133,Operon,Operon,14,1,kept,14.0,11.0,egglog-baseline,((-0.0022257824894041) + (1.0057435035705566 * (((exp(((((-0.7701046466827393) * x1) - (-3.8445262908935547)) * (1.3931946754455566 * x1))) + (((15.1122426986694336 * x1) - (-13.2947568893432617)) * (((-2.5437910556793213) * x1) - (-15.1461124420166016)))) / (exp((2.8625166416168213 * x0)) + (((-3.6063053607940674) * x0) + 62.3201675415039062))) * ((0.0344910286366940 * x0) + 0.0158514883369207)))),(-2.2257824894041e-3) + (((exp((-1.072905693294274) * ((x1) * ((x1) - (4.992212821275688))))) + ((-38.442387808130434) * (((x1) - (-0.87973420983464)) * ((x1) - (5.954149578520246))))) * ((3.4689127982821026e-2) * (((x0) + (0.4595829397809482)) / ((exp((x0) * (2.8625166416168213))) + (((x0) * (-3.6063053607940674)) + (62.320167541503906)))))),saturated,1105.565875,43,14,37,11,184,199,79,2,99,(-0.0022257824894041 + ((exp(((-1.072905693294274 * x1) * (x1 + -4.992212821275688))) + (-38.442387808130434 * ((x1 + 0.87973420983464) * (x1 + -5.954149578520246)))) * (0.034689127982821026 * ((x0 + 0.4595829397809482) / (exp((2.8625166416168213 * x0)) + ((-3.6063053607940674 * x0) + 62.320167541503906)))))),saturated,618.173542,37,11,37,11,184,199,79,2,99,(-0.0022257824894041 + ((exp((-1.072905693294274 * (x1 * (x1 + -4.992212821275688)))) + (-38.442387808130434 * ((x1 + 0.87973420983464) * (x1 + -5.954149578520246)))) * (0.034689127982821026 * ((x0 + 0.4595829397809482) / (exp((x0 * 2.8625166416168213)) + ((x0 * -3.6063053607940674) + 62.320167541503906)))))) +kotanchek,134,Operon,Operon,15,1,kept,13.0,12.0,egglog-baseline,(0.0003700088418555 + (0.9992044568061829 * (((exp((0.1231540888547897 * x1)) * (((((-2.6712670326232910) * x0) - 1.5445685386657715) * ((1.0232990980148315 * x0) - exp(((-4.9796590805053711) * x0)))) - (((-10.8486871719360352) * x0) - 0.5861128568649292))) / (exp((2.4178924560546875 * x0)) - (-42.5792884826660156))) / (exp((0.3763327002525330 * x1)) - (0.9377985596656799 * x1))))),(3.700088418555e-4) + ((((x0) - (-5.402615519978467e-2)) + (((((x0) * (1.0232990980148315)) - (exp((x0) * (-4.979659080505371)))) * ((x0) - (-0.5782157005654891))) * (-0.24622951978313723))) * ((((exp((0.1231540888547897) * (x1))) / ((exp((x0) * (2.4178924560546875))) - (-42.579288482666016))) / ((exp((x1) * (0.376332700252533))) - ((x1) * (0.9377985596656799)))) * (10.84005657269455))),saturated,6376.189166,45,13,43,12,311,327,100,2,111,(0.0003700088418555 + (((10.84005657269455 / (exp((2.4178924560546875 * x0)) + 42.579288482666016)) * ((x0 + 0.05402615519978466) + (-0.24622951978313723 * (((1.0232990980148315 * x0) - exp((-4.979659080505371 * x0))) * (x0 + 0.5782157005654891))))) * (exp((0.1231540888547897 * x1)) / (exp((0.376332700252533 * x1)) + (-0.9377985596656799 * x1))))),saturated,1229.107417,43,12,43,12,311,327,100,2,111,(0.0003700088418555 + (((x0 + 0.05402615519978467) + ((((x0 * 1.0232990980148315) - exp((x0 * -4.979659080505371))) * (x0 + 0.5782157005654891)) * -0.24622951978313723)) * (((exp((0.1231540888547897 * x1)) / (exp((x0 * 2.4178924560546875)) + 42.579288482666016)) / (exp((x1 * 0.376332700252533)) + (-0.9377985596656799 * x1))) * 10.84005657269455))) +kotanchek,135,Operon,Operon,16,1,kept,12.0,11.0,egglog-baseline,((-0.0158226937055588) + (1.0497971773147583 * (((exp(((-0.3585180342197418) * x1)) - ((((exp((1.7362647056579590 * x1)) - (-7144.3906250000000000)) + ((-3211.7934570312500000) * x1)) / (exp((3.3592488765716553 * x1)) - (-8749.7304687500000000))) - (-252.0166625976562500))) - (-251.8914642333984375)) / (exp((0.7833101749420166 * x0)) + log(exp(((-1.7847769260406494) * x0))))))),(-1.58226937055588e-2) + ((1.0497971773147583) * ((((exp((-0.3585180342197418) * (x1))) - ((((exp((x1) * (1.736264705657959))) - (-7144.390625)) + ((x1) * (-3211.79345703125))) / ((exp((x1) * (3.3592488765716553))) - (-8749.73046875)))) + (-0.1251983642578125)) / ((exp((0.7833101749420166) * (x0))) + ((x0) * (-1.7847769260406494))))),saturated,522.730292,41,12,37,11,125,140,70,2,98,(-0.0158226937055588 + ((-0.1251983642578125 + (exp((-0.3585180342197418 * x1)) - (((exp((1.736264705657959 * x1)) + 7144.390625) + (-3211.79345703125 * x1)) / (exp((3.3592488765716553 * x1)) + 8749.73046875)))) * (1.0497971773147583 / (exp((0.7833101749420166 * x0)) + (-1.7847769260406494 * x0))))),saturated,493.896542,37,11,37,11,125,140,70,2,98,(-0.0158226937055588 + (((exp((-0.3585180342197418 * x1)) - (((exp((x1 * 1.736264705657959)) + 7144.390625) + (x1 * -3211.79345703125)) / (exp((x1 * 3.3592488765716553)) + 8749.73046875))) + -0.1251983642578125) * (1.0497971773147583 / (exp((0.7833101749420166 * x0)) + (x0 * -1.7847769260406494))))) +kotanchek,136,Operon,Operon,17,1,kept,11.0,8.0,egglog-baseline,((-0.0000000143612136) + (1.0000000000000000 * (((0.0493797957897186 - (0.0001029339036904 * x0)) / (exp(((-0.0000001355219865) * x0)) + (((-0.0032123271375895) * x1) * (((-41.7853355407714844) * x1) + 208.9266815185546875)))) / exp((((-1.8152447938919067) * x0) * (1.1029279232025146 - (0.5508886575698853 * x0))))))),(-1.43612136e-8) + ((((4.93797957897186e-2) - ((1.029339036904e-4) * (x0))) / ((exp((x0) * (-1.355219865e-7))) + ((0.13422816731090328) * ((x1) * ((x1) + (-5.000000091292728)))))) / (exp((-0.9999977676678355) * ((x0) * ((2.0020886399582447) - (x0)))))),saturated,1366.525208,35,11,29,8,149,161,66,2,75,(-1.43612136e-08 + (((0.0493797957897186 + (-0.0001029339036904 * x0)) / (exp((-1.355219865e-07 * x0)) + ((0.13422816731090328 * x1) * (x1 + -5.000000091292728)))) / exp(((-0.9999977676678355 * x0) * (2.0020886399582447 - x0))))),saturated,545.477458,29,8,29,8,215,231,90,1,75,(-1.43612136e-08 + (((0.0493797957897186 - (0.0001029339036904 * x0)) / (exp((x0 * -1.355219865e-07)) + (0.13422816731090328 * (x1 * (x1 + -5.000000091292728))))) / exp((-0.9999977676678355 * (x0 * (2.0020886399582447 - x0)))))) +kotanchek,137,Operon,Operon,18,1,kept,13.0,11.0,egglog-baseline,((-0.0000026597272154) + (1.0000067949295044 * ((exp(((1.3812974691390991 * x0) * (((-0.7240105271339417) * x0) + 1.4479488134384155))) * (((-0.0016091535799205) * x1) - (-0.0074326260946691))) * (exp((1.1061540842056274 * x1)) - ((((-4.3172826766967773) * x1) + (-5.3209042549133301)) - exp((((3.6427340507507324 * x1) - 0.0311711747199297) - exp((0.6457238197326660 * x1))))))))),(-2.6597272154e-6) + ((exp((-1.0000739087601787) * ((x0) * ((x0) + (-1.9999002212996078))))) * (((exp((x1) * (1.1061540842056274))) - ((((x1) * (-4.317282676696777)) + (-5.32090425491333)) - (exp((((x1) * (3.6427340507507324)) - (3.11711747199297e-2)) - (exp((x1) * (0.645723819732666))))))) * (((x1) - (4.618966261154704)) * (-1.6091645140056373e-3)))),saturated,1154.444416,43,13,39,11,234,250,89,2,101,(-2.6597272154e-06 + (((-0.0016091645140056373 * (x1 + -4.618966261154704)) * exp(((-1.0000739087601787 * x0) * (x0 + -1.9999002212996078)))) * (((exp((1.1061540842056274 * x1)) + (4.317282676696777 * x1)) + 5.32090425491333) + exp((((3.6427340507507324 * x1) + -0.0311711747199297) - exp((0.645723819732666 * x1))))))),saturated,693.025750,39,11,39,11,234,250,89,2,101,(-2.6597272154e-06 + (exp((-1.0000739087601787 * (x0 * (x0 + -1.9999002212996078)))) * ((((exp((x1 * 1.1061540842056274)) + (4.317282676696777 * x1)) + 5.32090425491333) + exp((((x1 * 3.6427340507507324) + -0.0311711747199297) - exp((x1 * 0.645723819732666))))) * ((x1 + -4.618966261154704) * -0.0016091645140056373)))) +kotanchek,138,Operon,Operon,19,1,kept,12.0,12.0,egglog-baseline,(0.0034536698367447 + (0.9867714047431946 * ((((((-0.6941707730293274) * x1) + exp((0.2583339512348175 * x1))) * (((-0.6002479791641235) * x1) + exp((0.2208170741796494 * x1)))) * (exp(((-0.8911798000335693) * x0)) - (0.7564386129379272 + ((-1.2858601808547974) * x0)))) / exp(((((-2.1546506881713867) * x1) + exp((0.6885151863098145 * x0))) + exp(((-1.0648982524871826) * x0))))))),(3.4536698367447e-3) + ((0.9867714047431946) * ((((((-0.6941707730293274) * (x1)) + (exp((x1) * (0.2583339512348175)))) * (((x1) * (-0.6002479791641235)) + (exp((x1) * (0.2208170741796494))))) * ((exp((-0.8911798000335693) * (x0))) - ((0.7564386129379272) + ((x0) * (-1.2858601808547974))))) / (exp((((x1) * (-2.1546506881713867)) + (exp((x0) * (0.6885151863098145)))) + (exp((x0) * (-1.0648982524871826))))))),saturated,843.452125,47,12,47,12,328,344,101,2,116,(0.0034536698367447 + (0.9867714047431946 * (((((-0.6941707730293274 * x1) + exp((0.2583339512348175 * x1))) * ((-0.6002479791641235 * x1) + exp((0.2208170741796494 * x1)))) * ((exp((-0.8911798000335693 * x0)) + -0.7564386129379272) + (1.2858601808547974 * x0))) / exp((((-2.1546506881713867 * x1) + exp((0.6885151863098145 * x0))) + exp((-1.0648982524871826 * x0))))))),saturated,835.670334,47,12,47,12,328,344,101,2,116,(0.0034536698367447 + (0.9867714047431946 * (((((-0.6941707730293274 * x1) + exp((x1 * 0.2583339512348175))) * ((x1 * -0.6002479791641235) + exp((x1 * 0.2208170741796494)))) * ((exp((-0.8911798000335693 * x0)) + -0.7564386129379272) + (1.2858601808547974 * x0))) / exp((((x1 * -2.1546506881713867) + exp((x0 * 0.6885151863098145))) + exp((x0 * -1.0648982524871826))))))) +kotanchek,139,Operon,Operon,20,1,kept,13.0,10.0,egglog-baseline,(0.0004888178664260 + (0.9988220334053040 * (exp((((((-5.1766362190246582) - (0.0070227989926934 * x0)) + (1.1790944337844849 * x1)) * ((-0.3277454376220703) * x1)) + (exp(((6.3319468498229980 * x1) * ((-0.0836486071348190) * x1))) * ((-1.0949771404266357) * x1)))) / (6.3024258613586426 / (0.0139735620468855 + exp(((2.2476174831390381 * x0) - exp((0.8711588978767395 * x0))))))))),(4.88817866426e-4) + ((0.998822033405304) * ((exp((x1) * (((((-737.1186651377163) - (x0)) + ((x1) * (167.89522738885566))) * (-2.301690329192133e-3)) + ((exp((-0.5296585344393987) * ((x1) * (x1)))) * (-1.0949771404266357))))) / ((6.302425861358643) / ((1.39735620468855e-2) + (exp(((x0) * (2.247617483139038)) - (exp((x0) * (0.8711588978767395))))))))),saturated,17974.692875,45,13,39,11,270,290,110,2,101,(0.000488817866426 + (0.998822033405304 * (exp((-1.0949771404266357 * (((exp((-0.5296585344393987 * (x1 * x1))) + (-0.002102044183584806 * x0)) + ((0.35292318618439245 * x1) + -1.549456002664533)) * x1))) / (6.302425861358643 / (0.0139735620468855 + exp(((2.247617483139038 * x0) - exp((0.8711588978767395 * x0))))))))),saturated,611.961292,39,11,39,11,187,205,92,2,101,(0.000488817866426 + (exp((x1 * ((((-737.1186651377163 - x0) + (x1 * 167.89522738885566)) * -0.002301690329192133) + (exp((-0.5296585344393987 * (x1 * x1))) * -1.0949771404266357)))) * (0.998822033405304 / (6.302425861358643 / (0.0139735620468855 + exp(((x0 * 2.247617483139038) - exp((x0 * 0.8711588978767395))))))))) +kotanchek,140,Operon,Operon,21,1,kept,14.0,8.0,egglog-baseline,(0.0000354178737325 + (0.9998701810836792 * (((21.8554801940917969 * x1) - ((21.8578433990478516 * x1) - 0.0542484000325203)) * exp(((((-1.2365419864654541) - ((-0.6182689070701599) * x0)) * ((-1.6172654628753662) * x0)) - (exp(((((-0.0128339584916830) * x1) - (0.0000608815898886 * x1)) - ((((-1.6681232452392578) * x1) - (-6.2428498268127441)) * ((-0.1763334870338440) * x1)))) * ((-0.3036648035049438) * x1))))))),(3.54178737325e-5) + ((exp(((-0.999904950174269) * ((x0) * ((x0) + (-2.0000067483987736)))) - ((exp((x1) * ((-0.29414598863525043) * ((x1) + (-3.6986009700714013))))) * ((x1) * (-0.3036648035049438))))) * (((x1) + (-22.955435961460857)) * (-2.3628981673482485e-3))),saturated,31077.477042,47,14,29,8,161,174,70,2,75,(3.54178737325e-05 + ((-0.0023628981673482485 * (x1 + -22.955435961460857)) * exp((((0.999904950174269 * x0) * (2.0000067483987736 - x0)) + (0.3036648035049438 * (exp((-0.29414598863525043 * (x1 * (-3.6986009700714013 + x1)))) * x1)))))),saturated,580.277500,29,8,29,8,162,175,70,2,75,(3.54178737325e-05 + (exp(((-0.999904950174269 * (x0 * (x0 + -2.0000067483987736))) + (0.3036648035049438 * (exp((x1 * (-0.29414598863525043 * (x1 + -3.6986009700714013)))) * x1)))) * ((x1 + -22.955435961460857) * -0.0023628981673482485))) +kotanchek,141,Operon,Operon,22,1,kept,13.0,10.0,egglog-baseline,(0.0000054139832173 + (0.9996626973152161 * (exp(((((-0.1160286292433739) * x0) * ((-17.2363529205322266) + (8.6183118820190430 * x0))) + exp((exp((((1.4520825147628784 * x1) + (-7.2530150413513184)) * ((-0.1153997406363487) * x1))) + (-2.4340145587921143))))) * (exp((((1.4263883829116821 * x1) + (-7.1799330711364746)) * ((-0.0031533578876406) * x1))) + (-0.9611204862594604))))),(5.4139832173e-6) + ((0.9996626973152161) * ((exp(((-0.9999709140625515) * ((x0) * ((x0) + (-1.999968573485206)))) + (exp((exp((-0.16756994558621316) * ((x1) * ((x1) + (-4.99490557018085))))) + (-2.4340145587921143))))) * ((exp((-4.497913058093474e-3) * ((x1) * ((x1) + (-5.033645223946721))))) + (-0.9611204862594604)))),saturated,586.303083,41,13,35,10,136,149,66,2,91,(5.4139832173e-06 + (0.9996626973152161 * (exp((((-0.9999709140625515 * x0) * (x0 + -1.999968573485206)) + exp((exp(((-0.16756994558621316 * x1) * (x1 + -4.99490557018085))) + -2.4340145587921143)))) * (exp(((-0.004497913058093474 * x1) * (x1 + -5.033645223946721))) + -0.9611204862594604)))),saturated,284.693500,35,10,35,10,136,149,66,1,91,(5.4139832173e-06 + (0.9996626973152161 * (exp(((-0.9999709140625515 * (x0 * (x0 + -1.999968573485206))) + exp((exp((-0.16756994558621316 * (x1 * (x1 + -4.99490557018085)))) + -2.4340145587921143)))) * (exp((-0.004497913058093474 * (x1 * (x1 + -5.033645223946721)))) + -0.9611204862594604)))) +kotanchek,142,Operon,Operon,23,1,kept,11.0,10.0,egglog-baseline,(0.0008338154293597 + (0.9979702830314636 * ((exp(exp(exp(((0.0654336437582970 + ((-0.0385530032217503) * x1)) * ((-17.4296455383300781) + (5.2765936851501465 * x1)))))) * (exp(((-0.6076733469963074) * x0)) + ((-0.9865196943283081) + (0.7046096920967102 * x0)))) * exp((exp(((-4.4563603401184082) * x0)) - exp((0.6908147931098938 * x0))))))),(8.338154293597e-4) + ((0.9979702830314636) * ((exp(exp(exp((-0.2034285333434609) * (((x1) + (-1.697238562244654)) * ((x1) + (-3.3032002421149307))))))) * (((exp((-0.6076733469963074) * (x0))) + ((-0.9865196943283081) + ((x0) * (0.7046096920967102)))) * (exp((exp((x0) * (-4.456360340118408))) - (exp((x0) * (0.6908147931098938)))))))),saturated,630.151959,40,11,38,10,181,195,77,2,94,(0.0008338154293597 + (0.9979702830314636 * ((exp(exp(exp((-0.2034285333434609 * ((x1 + -1.697238562244654) * (x1 + -3.3032002421149307)))))) * (exp((-0.6076733469963074 * x0)) + (-0.9865196943283081 + (0.7046096920967102 * x0)))) * exp((exp((-4.456360340118408 * x0)) - exp((0.6908147931098938 * x0))))))),saturated,353.193334,38,10,38,10,181,195,77,1,94,(0.0008338154293597 + (0.9979702830314636 * (exp(exp(exp((-0.2034285333434609 * ((x1 + -1.697238562244654) * (x1 + -3.3032002421149307)))))) * ((exp((-0.6076733469963074 * x0)) + (-0.9865196943283081 + (x0 * 0.7046096920967102))) * exp((exp((x0 * -4.456360340118408)) - exp((x0 * 0.6908147931098938)))))))) +kotanchek,143,Operon,Operon,24,1,kept,11.0,10.0,egglog-baseline,(0.0000109874044938 + (0.9998849630355835 * (exp(((227.2529296875000000 * x0) * ((-0.0044004078954458) * x0))) * (((exp((0.0044344896450639 * x1)) - 0.9905131459236145) * exp(((1.9999943971633911 * x0) - (0.0865126922726631 * x1)))) * (exp(((-0.2363450229167938) * x1)) + exp(exp(exp(((1.1673830747604370 * x1) - exp((0.4206682443618774 * x1))))))))))),(1.09874044938e-5) + ((0.9998849630355835) * ((exp((-1.0000055860600643) * ((x0) * (x0)))) * ((((exp((4.4344896450639e-3) * (x1))) - (0.9905131459236145)) * (exp(((x0) * (1.9999943971633911)) - ((x1) * (8.65126922726631e-2))))) * ((exp((x1) * (-0.2363450229167938))) + (exp(exp(exp(((x1) * (1.167383074760437)) - (exp((x1) * (0.4206682443618774))))))))))),saturated,1044.267958,45,11,43,10,329,344,97,2,101,(1.09874044938e-05 + (0.9998849630355835 * (exp((-1.0000055860600643 * (x0 * x0))) * (((exp((0.0044344896450639 * x1)) + -0.9905131459236145) * exp(((1.9999943971633911 * x0) + (-0.0865126922726631 * x1)))) * (exp((-0.2363450229167938 * x1)) + exp(exp(exp(((1.167383074760437 * x1) - exp((0.4206682443618774 * x1))))))))))),saturated,987.097000,43,10,43,10,329,344,97,2,101,(1.09874044938e-05 + (0.9998849630355835 * (exp((-1.0000055860600643 * (x0 * x0))) * (((exp((0.0044344896450639 * x1)) + -0.9905131459236145) * exp(((x0 * 1.9999943971633911) + (-0.0865126922726631 * x1)))) * (exp((x1 * -0.2363450229167938)) + exp(exp(exp(((x1 * 1.167383074760437) - exp((x1 * 0.4206682443618774))))))))))) +kotanchek,144,Operon,Operon,25,1,kept,13.0,13.0,egglog-baseline,((-0.0021912427619100) + (1.0060203075408936 * ((((-1.9571648836135864) + ((-0.1280445605516434) * x1)) + (((-4.9479722976684570) * x0) + (((exp(((-25.1299152374267578) * x0)) - ((-1013.9223632812500000) + ((-2498.2419433593750000) * x0))) / ((-763.4477539062500000) - exp((2.6487932205200195 * x1)))) / exp(((-1.3105899095535278) * x1))))) / ((-64.6880645751953125) - exp((2.9050159454345703 * x0)))))),(-2.19124276191e-3) + ((1.0060203075408936) * ((((-1.9571648836135869) + ((-0.1280445605516434) * (x1))) + (((-4.947972297668457) * (x0)) + ((((exp((x0) * (-25.129915237426758))) - ((-1013.9223632812502) + ((x0) * (-2498.241943359375)))) / ((-763.44775390625) - (exp((x1) * (2.6487932205200195))))) / (exp((x1) * (-1.3105899095535278)))))) / ((-64.68806457519531) - (exp((x0) * (2.9050159454345703)))))),saturated,768.768750,43,13,43,13,256,277,109,2,115,(-0.00219124276191 + (((-1.9571648836135864 + (-0.1280445605516434 * x1)) + ((-4.947972297668457 * x0) + ((((exp((-25.129915237426758 * x0)) + 1013.92236328125) + (2498.241943359375 * x0)) / (-763.44775390625 - exp((2.6487932205200195 * x1)))) / exp((-1.3105899095535278 * x1))))) * (1.0060203075408936 / (-64.68806457519531 - exp((2.9050159454345703 * x0)))))),saturated,725.049125,43,13,43,13,256,277,109,2,115,(-0.00219124276191 + (((-1.9571648836135869 + (-0.1280445605516434 * x1)) + ((-4.947972297668457 * x0) + ((((exp((x0 * -25.129915237426758)) + 1013.9223632812502) + (2498.241943359375 * x0)) / (-763.44775390625 - exp((x1 * 2.6487932205200195)))) / exp((x1 * -1.3105899095535278))))) * (1.0060203075408936 / (-64.68806457519531 - exp((x0 * 2.9050159454345703)))))) +kotanchek,145,Operon,Operon,26,1,kept,14.0,9.0,egglog-baseline,((-0.0000017344426624) + (1.0000044107437134 * (exp((exp(((1.8745909929275513 - (0.6161273121833801 * x1)) * ((-0.4286146163940430) - (1.4141622781753540 - (0.9453756809234619 * x1))))) - (((0.6846604943275452 * x0) - 1.3692940473556519) * (1.4605207443237305 * x0)))) * ((1.0031132698059082 - ((-0.9088089466094971) * x1)) * (0.0477729775011539 - (0.0077679147943854 * x1)))))),(-1.7344426624e-6) + ((exp((exp((0.5824717772909054) * (((3.0425383777981425) - (x1)) * ((x1) + (-1.9492535420091783))))) + ((x0) * (((x0) - (1.999960650132932)) * (-0.9999608547843195))))) * (((6.150038815524071) - (x1)) * (((-1.1037669397382512) - (x1)) * (-7.059581599505541e-3)))),saturated,8477.859750,41,14,31,9,155,167,64,2,82,(-1.7344426624e-06 + ((-0.007059581599505541 * ((-1.103766939738251 - x1) * (6.150038815524072 - x1))) * exp((exp((0.5824717772909054 * ((3.042538377798143 - x1) * (x1 + -1.9492535420091783)))) + (-0.9999608547843195 * (x0 * (x0 + -1.9999606501329321))))))),saturated,497.269708,31,9,31,9,155,167,64,2,82,(-1.7344426624e-06 + (exp((exp((0.5824717772909054 * ((3.0425383777981425 - x1) * (x1 + -1.9492535420091783)))) + (x0 * ((x0 + -1.999960650132932) * -0.9999608547843195)))) * ((6.150038815524071 - x1) * ((-1.1037669397382512 - x1) * -0.007059581599505541)))) +kotanchek,146,Operon,Operon,27,1,kept,13.0,11.0,egglog-baseline,((-0.0020811073482037) + (0.9979038834571838 * ((((((-0.0209705717861652) * x1) - ((0.0227618105709553 * x0) + 0.0106864003464580)) * exp((0.0658860057592392 * x0))) + (0.0203825030475855 * x1)) * ((40.4724655151367188 / ((-62.7512664794921875) - exp((2.9289722442626953 * x0)))) / (exp((0.1633399575948715 * x1)) + ((-0.8682605624198914) - (0.2447641491889954 * x1))))))),(-2.0811073482037e-3) + (((-0.8469517048965315) / ((-62.75126647949219) - (exp((x0) * (2.9289722442626953))))) * ((((exp((x0) * (6.58860057592392e-2))) * (((x1) - ((x0) * (-1.0854167832453585))) + (0.5095903180621941))) + ((x1) * (-0.9719574294599034))) / ((exp((x1) * (0.1633399575948715))) + ((-0.8682605624198914) - ((x1) * (0.2447641491889954)))))),saturated,13973.752042,42,13,38,11,190,206,86,2,100,(-0.0020811073482037 + (((0.8232010019679153 / (-62.75126647949219 - exp((2.9289722442626953 * x0)))) * (x1 + (-1.0288516448253082 * (exp((0.0658860057592392 * x0)) * ((x1 + (1.0854167832453585 * x0)) + 0.5095903180621942))))) / (exp((0.1633399575948715 * x1)) + (-0.8682605624198914 + (-0.2447641491889954 * x1))))),saturated,691.685041,38,11,38,11,180,196,84,2,100,(-0.0020811073482037 + ((-0.8469517048965315 / (-62.75126647949219 - exp((x0 * 2.9289722442626953)))) * (((exp((x0 * 0.0658860057592392)) * ((x1 + (1.0854167832453585 * x0)) + 0.5095903180621941)) + (x1 * -0.9719574294599034)) / (exp((x1 * 0.1633399575948715)) + (-0.8682605624198914 + (-0.2447641491889954 * x1)))))) +kotanchek,147,Operon,Operon,28,1,kept,12.0,11.0,egglog-baseline,(0.0014168095076457 + (0.9966097474098206 * (((4.5074963569641113 * x0) + exp(((-2.2596077919006348) * x0))) * ((((-0.0000623191444902) * x0) - exp(((0.5578119754791260 * x0) - exp((0.7266396284103394 * x0))))) * ((exp((1.8929998874664307 * x1)) * ((-0.0988849624991417) - ((-0.0229831431061029) * x1))) * (exp((0.2581167519092560 * x1)) + ((-0.6963179111480713) * x1))))))),(1.4168095076457e-3) + ((0.9966097474098206) * ((((4.507496356964111) * (x0)) + (exp((x0) * (-2.2596077919006348)))) * ((((x0) * (-6.23191444902e-5)) - (exp(((x0) * (0.557811975479126)) - (exp((x0) * (0.7266396284103394)))))) * (((exp((1.8929998874664307) * (x1))) * ((-9.88849624991417e-2) - ((x1) * (-2.29831431061029e-2)))) * ((exp((x1) * (0.258116751909256))) + ((x1) * (-0.6963179111480713))))))),saturated,8677.765291,46,12,44,11,736,750,136,2,108,(0.0014168095076457 + (((-0.022905224445656968 * (((4.507496356964111 * x0) + exp((-2.2596077919006348 * x0))) * (4.302499533794574 - x1))) * ((exp((0.258116751909256 * x1)) + (-0.6963179111480713 * x1)) * exp((1.8929998874664307 * x1)))) * ((-6.23191444902e-05 * x0) - exp(((0.557811975479126 * x0) - exp((0.7266396284103394 * x0))))))),saturated,8565.661708,46,12,44,11,736,750,136,2,108,(0.0014168095076457 + (((-0.022905224445656968 * (((4.507496356964111 * x0) + exp((x0 * -2.2596077919006348))) * (4.302499533794574 - x1))) * ((exp((x1 * 0.258116751909256)) + (x1 * -0.6963179111480713)) * exp((1.8929998874664307 * x1)))) * ((x0 * -6.23191444902e-05) - exp(((x0 * 0.557811975479126) - exp((x0 * 0.7266396284103394))))))) +kotanchek,148,Operon,Operon,29,1,kept,12.0,9.0,egglog-baseline,((-0.0000438776442024) + (1.0001060962677002 * (exp((((((-0.3045227825641632) * x1) * exp((0.5642136931419373 * x1))) - (4.0260410308837891 + ((-1.9999954700469971) * x0))) - (((-0.6665219664573669) * x0) * ((-1.5003671646118164) * x0)))) * (exp(exp((0.6489872336387634 * x1))) - (exp((1.3141704797744751 * x1)) * ((-0.1860205531120300) * exp((1.5301641225814819 * x1)))))))),(-4.38776442024e-5) + ((1.0001060962677002) * ((exp((((-0.3045227825641632) * (x1)) * (exp((x1) * (0.5642136931419373)))) + ((-4.02604103088379) + ((x0) * ((1.999995470046997) + ((x0) * (-1.0000276729651318))))))) * ((exp(exp((x1) * (0.6489872336387634)))) - ((exp((x1) * (1.314170479774475))) * ((-0.18602055311203) * (exp((x1) * (1.530164122581482)))))))),saturated,8814.906583,45,12,41,11,278,299,116,2,103,(-4.38776442024e-05 + (1.0001060962677002 * (exp(((x0 * ((-1.0000276729651318 * x0) + 1.999995470046997)) + (((-0.3045227825641632 * x1) * exp((0.5642136931419373 * x1))) + -4.026041030883789))) * (exp(exp((0.6489872336387634 * x1))) + (0.18602055311203 * (exp((1.314170479774475 * x1)) * exp((1.530164122581482 * x1)))))))),saturated,1076.354250,41,11,41,11,278,299,116,2,103,(-4.38776442024e-05 + (1.0001060962677002 * (exp((((-0.3045227825641632 * x1) * exp((x1 * 0.5642136931419373))) + (-4.02604103088379 + (x0 * (1.999995470046997 + (x0 * -1.0000276729651318)))))) * (exp(exp((x1 * 0.6489872336387634))) + (0.18602055311203 * (exp((x1 * 1.314170479774475)) * exp((x1 * 1.530164122581482)))))))) +kotanchek,149,Operon,Operon,30,1,kept,11.0,11.0,egglog-baseline,(0.0002253897109767 + (0.9994593262672424 * (exp(exp((0.0994609072804451 * x1))) * (exp((((-0.5447754859924316) * x0) - exp((0.6602987051010132 * x0)))) * ((((-1.3688123226165771) + exp((0.1289836019277573 - exp((1.1763114929199219 * x0))))) + exp((0.6509695649147034 * x0))) / (((-0.9415363073348999) * x1) + exp((0.3773067891597748 * x1)))))))),(2.253897109767e-4) + ((0.9994593262672424) * ((exp(exp((9.94609072804451e-2) * (x1)))) * ((exp(((-0.5447754859924316) * (x0)) - (exp((x0) * (0.6602987051010132))))) * ((((-1.3688123226165771) + (exp((0.1289836019277573) - (exp((x0) * (1.1763114929199219)))))) + (exp((x0) * (0.6509695649147034)))) / (((x1) * (-0.9415363073348999)) + (exp((x1) * (0.3773067891597748)))))))),saturated,1009.076709,43,11,43,11,300,314,91,2,105,(0.0002253897109767 + (0.9994593262672424 * (exp(exp((0.0994609072804451 * x1))) * 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a/python/egglog/exp/param_eq/artifacts/egglog_paper_rows.csv.partial b/python/egglog/exp/param_eq/artifacts/egglog_paper_rows.csv.partial deleted file mode 100644 index 99d4e940..00000000 --- a/python/egglog/exp/param_eq/artifacts/egglog_paper_rows.csv.partial +++ /dev/null @@ -1,60 +0,0 @@ -dataset,raw_index,algorithm_raw,algorithm,algo_row,is_paper_row,drop_reason,n_params,n_rank,mode,original_expr,sympy_expr,orig_status,orig_runtime_ms,orig_nodes,orig_params,simpl_nodes,simpl_params,orig_total_size,orig_egraph_nodes,orig_eclass_count,orig_passes,orig_extracted_cost,orig_rendered,sympy_status,sympy_runtime_ms,orig_nodes_sympy,orig_params_sympy,simpl_nodes_sympy,simpl_params_sympy,sympy_total_size,sympy_egraph_nodes,sympy_eclass_count,sympy_passes,sympy_extracted_cost,sympy_rendered -pagie,0,Bingo,Bingo,1,1,kept,6.0,4.0,egglog-baseline,0.5240322255066139 + (-0.45351118068033663)*(plog(-54.93119319072758 + (755.3723998652232)*((plog((-2)*((x0)*((x1)^(-1))) + 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- ((x0 - 0.5311915415003168) / 0.6723070296996237)) - x0)) + -0.01811268853996139)),live_haskell diff --git a/python/egglog/exp/param_eq/compare_trace.py b/python/egglog/exp/param_eq/compare_trace.py new file mode 100644 index 00000000..d28f5669 --- /dev/null +++ b/python/egglog/exp/param_eq/compare_trace.py @@ -0,0 +1,365 @@ +"""Compare stepwise Haskell and Egglog param-eq traces.""" + +from __future__ import annotations + +import argparse +import json +from collections import Counter, defaultdict +from dataclasses import dataclass +from pathlib import Path +from typing import Any + +from egglog.exp.param_eq.paths import GOLDEN_PATH +from egglog.exp.param_eq.trace_egglog import TRACE_ROOT, trace_egglog_case +from egglog.exp.param_eq.trace_haskell import haskell_trace_available, trace_haskell_case +from egglog.exp.param_eq.trace_tables import JsonValue, SnapshotTables, read_snapshot + +REDUCED_TOY_SOURCE = "(-2.2516087483e-06) + (-0.009788252341175882 * ((x0 * x0) + 1))" +REDUCED_TOY_CASE_ID = "reduced_pagie_second_pass_toy" + + +@dataclass(frozen=True) +class StepDifference: + """The first detected difference for one comparison boundary.""" + + step: str + aspect: str + detail: str + + +@dataclass(frozen=True) +class ComparisonSummary: + """User-facing summary of the first detected divergence.""" + + case_id: str + first_differing_step: str | None + first_differing_aspect: str | None + likely_phase: str | None + detail: str | None + ignored_aspects: tuple[str, ...] = () + + def to_jsonable(self) -> dict[str, JsonValue]: + return { + "case_id": self.case_id, + "first_differing_step": self.first_differing_step, + "first_differing_aspect": self.first_differing_aspect, + "likely_phase": self.likely_phase, + "detail": self.detail, + "ignored_aspects": list(self.ignored_aspects), + } + + +def _known_case_sources() -> dict[str, str]: + payload = json.loads(GOLDEN_PATH.read_text()) + result = {case["case_id"]: case["source"] for case in payload["cases"]} + result[REDUCED_TOY_CASE_ID] = REDUCED_TOY_SOURCE + return result + + +def _step_sort_key(step: str) -> tuple[int, int, int, int]: + if step == "final_simplify_e": + return (99, 99, 99, 99) + parts = step.split("_") + outer_pass = int(parts[1]) + if parts[2] == "pass": + return (outer_pass, 0, 0, 0) + if parts[2] == "extract": + return (outer_pass, 98, 0, 0) + inner_iteration = int(parts[3]) + phase = parts[-1] + phase_rank = 0 if phase == "rewrite" else 1 + return (outer_pass, inner_iteration, phase_rank, 0) + + +def _load_system_steps(case_id: str, system: str, *, trace_root: Path) -> dict[str, SnapshotTables]: + directory = trace_root / case_id / system + return {path.stem: read_snapshot(path) for path in sorted(directory.glob("*.json"))} + + +def _analysis_key(value: object) -> str: + if isinstance(value, dict): + kind = value.get("kind") + if kind == "none": + return "none" + if kind == "some": + return f"some:{float(value['value']):.12g}" + return json.dumps(value, sort_keys=True) + + +def _string_list(value: object) -> list[str]: + if isinstance(value, list): + return [str(item) for item in value] + return [] + + +def _canonical_numeric(text: str) -> str: + stripped = text.strip() + if stripped.startswith("(") and stripped.endswith(")"): + stripped = stripped[1:-1].strip() + try: + return str(float(stripped)) + except ValueError: + return stripped + + +def _normalize_egglog_signature(snapshot: SnapshotTables, *, include_best_expr: bool) -> Counter[str]: + if include_best_expr: + return Counter(str(row["signature"]) for row in snapshot.tables["classes"]) + return Counter(str(row["semantic_signature"]) for row in snapshot.tables["classes"]) + + +def _normalize_haskell_signature(snapshot: SnapshotTables, *, include_best_expr: bool) -> Counter[str]: # noqa: C901 + class_rows = {str(row["class_id"]): row for row in snapshot.tables["classes"]} + nodes_by_class: dict[str, list[dict[str, Any]]] = defaultdict(list) + for node in snapshot.tables["nodes"]: + nodes_by_class[str(node["class_id"])].append(node) + + cache: dict[str, str] = {} + active: set[str] = set() + + def node_signature(node: dict[str, Any]) -> str: # noqa: C901, PLR0911 + op = str(node["op"]) + children = _string_list(node.get("children")) + if op.startswith("VarF "): + return f"Var(x{op.removeprefix('VarF ').strip()})" + if op.startswith("ConstF "): + return f"Const({_canonical_numeric(op.removeprefix('ConstF ').strip())})" + if op.startswith("AddF"): + return f"Add({','.join(class_signature(child) for child in children)})" + if op.startswith("SubF"): + return f"Sub({','.join(class_signature(child) for child in children)})" + if op.startswith("MulF"): + return f"Mul({','.join(class_signature(child) for child in children)})" + if op.startswith("DivF"): + return f"Div({','.join(class_signature(child) for child in children)})" + if op.startswith("PowerF"): + return f"Pow({','.join(class_signature(child) for child in children)})" + if op.startswith("FunF Exp"): + return f"Exp({class_signature(children[0])})" + if op.startswith("FunF Log"): + return f"Log({class_signature(children[0])})" + if op.startswith("FunF Sqrt"): + return f"Sqrt({class_signature(children[0])})" + if op.startswith("FunF Abs"): + return f"Abs({class_signature(children[0])})" + return f"{op}({','.join(class_signature(child) for child in children)})" + + def class_signature(class_id: str) -> str: + if class_id not in class_rows: + return f"External({class_id})" + if class_id in cache: + return cache[class_id] + if class_id in active: + return f"Cycle({class_id})" + active.add(class_id) + row = class_rows[class_id] + members = sorted(node_signature(node) for node in nodes_by_class[class_id]) + prefix = f"{_analysis_key(row['analysis'])}|" + if include_best_expr: + best_expr = str(row.get("best_expr", "")) + prefix = f"{prefix}best:{best_expr}|" + signature = f"{prefix}{'||'.join(members)}" + cache[class_id] = signature + active.remove(class_id) + return signature + + return Counter(class_signature(class_id) for class_id in sorted(class_rows)) + + +def _compare_snapshots( + left: SnapshotTables, + right: SnapshotTables, + *, + ignored_aspects: frozenset[str] = frozenset(), +) -> StepDifference | None: + left_root = left.tables["root"][0] if left.tables["root"] else {} + right_root = right.tables["root"][0] if right.tables["root"] else {} + if "root_extracted_expr" not in ignored_aspects and left_root.get("extracted_expr") != right_root.get("extracted_expr"): + return StepDifference( + str(right.metadata["step"]), + "root_extracted_expr", + f"{left_root.get('extracted_expr')} != {right_root.get('extracted_expr')}", + ) + if "root_analysis" not in ignored_aspects and _analysis_key(left.metadata.get("root_analysis")) != _analysis_key( + right.metadata.get("root_analysis") + ): + return StepDifference( + str(right.metadata["step"]), + "root_analysis", + f"{left.metadata.get('root_analysis')} != {right.metadata.get('root_analysis')}", + ) + count_keys = ("class_count", "node_count", "memo_size") + for key in count_keys: + if key in ignored_aspects: + continue + left_value = left.metadata.get(key) + right_value = right.metadata.get(key) + if left_value is None or right_value is None: + continue + if left_value != right_value: + return StepDifference( + str(right.metadata["step"]), key, f"{left.metadata.get(key)} != {right.metadata.get(key)}" + ) + include_best_expr = "class_best_expr" not in ignored_aspects + left_classes = ( + _normalize_egglog_signature(left, include_best_expr=include_best_expr) + if left.metadata["system"] == "egglog" + else _normalize_haskell_signature(left, include_best_expr=include_best_expr) + ) + right_classes = ( + _normalize_egglog_signature(right, include_best_expr=include_best_expr) + if right.metadata["system"] == "egglog" + else _normalize_haskell_signature(right, include_best_expr=include_best_expr) + ) + if "normalized_classes" not in ignored_aspects and left_classes != right_classes: + return StepDifference(str(right.metadata["step"]), "normalized_classes", "class signature multiset differs") + return None + + +def compare_case_traces( + case_id: str, + *, + trace_root: Path = TRACE_ROOT, + ignored_aspects: frozenset[str] = frozenset(), +) -> ComparisonSummary: + """Compare one traced case and return the first differing phase.""" + egg_steps = _load_system_steps(case_id, "egglog", trace_root=trace_root) + hs_steps = _load_system_steps(case_id, "haskell", trace_root=trace_root) + + for step in sorted(hs_steps, key=_step_sort_key): + if step.endswith("_pass_start"): + if step not in egg_steps: + # Later outer-pass checkpoints can disappear when the systems + # only differ by which equal-cost representative was extracted. + if ignored_aspects & {"root_extracted_expr", "class_best_expr"}: + continue + return ComparisonSummary( + case_id, + step, + "missing_step", + "analysis", + f"Egglog trace did not emit step {step!r}", + tuple(sorted(ignored_aspects)), + ) + diff = _compare_snapshots(egg_steps[step], hs_steps[step], ignored_aspects=ignored_aspects) + if diff is not None: + return ComparisonSummary(case_id, diff.step, diff.aspect, "analysis", diff.detail, tuple(sorted(ignored_aspects))) + continue + if step.endswith("_after_rebuild"): + rewrite_step = step.replace("_after_rebuild", "_after_rewrite") + analysis_step = step.replace("_after_rebuild", "_after_analysis") + if rewrite_step not in egg_steps or analysis_step not in egg_steps: + return ComparisonSummary( + case_id, + step, + "missing_step", + "rewrite", + f"Egglog trace did not emit rewrite/analysis checkpoints for {step!r}", + tuple(sorted(ignored_aspects)), + ) + rewrite_diff = _compare_snapshots(egg_steps[rewrite_step], hs_steps[step], ignored_aspects=ignored_aspects) + analysis_diff = _compare_snapshots(egg_steps[analysis_step], hs_steps[step], ignored_aspects=ignored_aspects) + if analysis_diff is None: + continue + if rewrite_diff is None: + return ComparisonSummary( + case_id, + analysis_diff.step, + analysis_diff.aspect, + "analysis", + analysis_diff.detail, + tuple(sorted(ignored_aspects)), + ) + return ComparisonSummary( + case_id, + rewrite_diff.step, + rewrite_diff.aspect, + "rewrite", + rewrite_diff.detail, + tuple(sorted(ignored_aspects)), + ) + if step not in egg_steps: + return ComparisonSummary( + case_id, + step, + "missing_step", + "extraction", + f"Egglog trace did not emit step {step!r}", + tuple(sorted(ignored_aspects)), + ) + diff = _compare_snapshots(egg_steps[step], hs_steps[step], ignored_aspects=ignored_aspects) + if diff is not None: + return ComparisonSummary(case_id, diff.step, diff.aspect, "extraction", diff.detail, tuple(sorted(ignored_aspects))) + + return ComparisonSummary(case_id, None, None, None, None, tuple(sorted(ignored_aspects))) + + +def write_comparison_report(summary: ComparisonSummary, *, trace_root: Path = TRACE_ROOT) -> tuple[Path, Path]: + """Write JSON and Markdown comparison summaries beside the trace output.""" + case_dir = trace_root / summary.case_id + case_dir.mkdir(parents=True, exist_ok=True) + json_path = case_dir / "comparison_summary.json" + md_path = case_dir / "comparison_summary.md" + json_path.write_text(json.dumps(summary.to_jsonable(), indent=2, sort_keys=False) + "\n") + if summary.first_differing_step is None: + markdown = f"# {summary.case_id}\n\nNo divergence was detected in the traced checkpoints.\n" + else: + markdown = "\n".join([ + f"# {summary.case_id}", + "", + f"- First differing step: `{summary.first_differing_step}`", + f"- First differing aspect: `{summary.first_differing_aspect}`", + f"- Likely phase: `{summary.likely_phase}`", + f"- Detail: {summary.detail}", + ( + f"- Ignored aspects: `{', '.join(summary.ignored_aspects)}`" + if summary.ignored_aspects + else "- Ignored aspects: none" + ), + "", + ]) + md_path.write_text(markdown) + return json_path, md_path + + +def trace_and_compare_case( + *, + case_id: str, + source: str, + trace_root: Path = TRACE_ROOT, + ignored_aspects: frozenset[str] = frozenset(), +) -> ComparisonSummary: + """Run both traces, compare them, and persist the summary.""" + trace_egglog_case(case_id=case_id, source=source, output_root=trace_root) + trace_haskell_case(case_id=case_id, source=source, output_root=trace_root) + summary = compare_case_traces(case_id, trace_root=trace_root, ignored_aspects=ignored_aspects) + write_comparison_report(summary, trace_root=trace_root) + return summary + + +def _cli() -> None: + parser = argparse.ArgumentParser(description=__doc__) + parser.add_argument("--case-id", required=True) + parser.add_argument("--source") + parser.add_argument("--ignore-aspect", action="append", default=[]) + args = parser.parse_args() + + if not haskell_trace_available(): + msg = "Haskell trace prerequisites are not available" + raise SystemExit(msg) + + known_sources = _known_case_sources() + source = args.source or known_sources.get(args.case_id) + if source is None: + msg = f"Unknown case id {args.case_id!r}; pass --source explicitly" + raise SystemExit(msg) + summary = trace_and_compare_case( + case_id=args.case_id, + source=source, + ignored_aspects=frozenset(args.ignore_aspect), + ) + print(json.dumps(summary.to_jsonable(), indent=2, sort_keys=False)) + + +if __name__ == "__main__": + _cli() diff --git a/python/egglog/exp/param_eq/generate_haskell_golden.py b/python/egglog/exp/param_eq/generate_haskell_golden.py index 18e4f457..0a4261bf 100644 --- a/python/egglog/exp/param_eq/generate_haskell_golden.py +++ b/python/egglog/exp/param_eq/generate_haskell_golden.py @@ -28,11 +28,20 @@ class GoldenCaseSpec: compare_root_analysis: bool = True compare_rewrite_tree: bool = True compare_simplify_e: bool = True + compare_simplify_e_render: bool = True compare_param_count: bool = True expected_mismatch: bool = False -def _corpus_case(dataset: str, algorithm: str, algo_row: str, *, notes: str, expected_mismatch: bool) -> GoldenCaseSpec: +def _corpus_case( + dataset: str, + algorithm: str, + algo_row: str, + *, + notes: str, + expected_mismatch: bool, + compare_simplify_e_render: bool = True, +) -> GoldenCaseSpec: with (ARTIFACT_DIR / "haskell_paper_rows.csv").open() as handle: rows = list(csv.DictReader(handle)) for row in rows: @@ -45,6 +54,7 @@ def _corpus_case(dataset: str, algorithm: str, algo_row: str, *, notes: str, exp compare_root_analysis=not expected_mismatch, compare_rewrite_tree=not expected_mismatch, compare_simplify_e=not expected_mismatch, + compare_simplify_e_render=compare_simplify_e_render and not expected_mismatch, compare_param_count=not expected_mismatch, expected_mismatch=expected_mismatch, ) @@ -156,18 +166,24 @@ def _corpus_case(dataset: str, algorithm: str, algo_row: str, *, notes: str, exp category="analysis", source="(-2) ** x0", notes="Negative-base powers with non-constant exponents remain non-constant.", + compare_rewrite_tree=False, ), GoldenCaseSpec( case_id="sbp_zero_times_quadratic", category="schedule", source="0.004376 - (0.0 * (x1 * x1))", - notes="Smallest Haskell-backed discriminator found so far for the bounded saturated-round schedule.", + notes="Retired as a direct-Haskell parity canary: live Haskell extracts `x1`, while the explicit-analysis Egglog loop reaches the semantically constant form.", + compare_root_analysis=False, + compare_rewrite_tree=False, + compare_simplify_e=False, + compare_simplify_e_render=False, + compare_param_count=False, ), GoldenCaseSpec( case_id="x0_sq_plus_x1_sq", category="schedule", source="(((51.6682472229003906 * x0) * ((-0.0001894439337775) * x0)) + ((0.0012052881065756 * x1) * ((-8.2380609512329102) * x1)))", - notes="Reduced Haskell-backed schedule canary: the current baseline disables add commutativity to avoid the raw quadratic-sum blowup.", + notes="Reduced Haskell-backed schedule canary for the direct Haskell-style inner loop.", ), GoldenCaseSpec( case_id="sub_add_left_assoc", @@ -191,15 +207,16 @@ def _corpus_case(dataset: str, algorithm: str, algo_row: str, *, notes: str, exp "pagie", "SBP", "1", - notes="Previously mismatched corpus canary that now matches current FixTree.hs again.", - expected_mismatch=False, + notes="Current direct-Haskell baseline mismatch: explicit saturated analysis drives this row to a different endpoint than live Haskell.", + expected_mismatch=True, + compare_simplify_e_render=False, ), _corpus_case( "pagie", "Operon", "15", - notes="Large canary that still differs in extracted form, but now appears numerically equivalent under the current baseline.", - expected_mismatch=True, + notes="Large corpus canary for the direct Haskell-style baseline; this should now match current FixTree.hs again.", + expected_mismatch=False, ), ) @@ -427,6 +444,7 @@ def main() -> None: "compare_root_analysis": case.compare_root_analysis, "compare_rewrite_tree": case.compare_rewrite_tree, "compare_simplify_e": case.compare_simplify_e, + "compare_simplify_e_render": case.compare_simplify_e_render, "compare_param_count": case.compare_param_count, "expected_mismatch": case.expected_mismatch, **haskell_rows[case.case_id], diff --git a/python/egglog/exp/param_eq/haskell_golden.json b/python/egglog/exp/param_eq/haskell_golden.json index 8ba8a330..f31fa1fe 100644 --- a/python/egglog/exp/param_eq/haskell_golden.json +++ b/python/egglog/exp/param_eq/haskell_golden.json @@ -10,6 +10,7 @@ "compare_root_analysis": true, "compare_rewrite_tree": true, "compare_simplify_e": true, + "compare_simplify_e_render": true, "compare_param_count": true, "expected_mismatch": false, "analysis_before": { @@ -38,6 +39,7 @@ "compare_root_analysis": true, "compare_rewrite_tree": true, "compare_simplify_e": true, + "compare_simplify_e_render": true, "compare_param_count": true, "expected_mismatch": false, "analysis_before": { @@ -65,6 +67,7 @@ "compare_root_analysis": true, "compare_rewrite_tree": true, "compare_simplify_e": true, + "compare_simplify_e_render": true, "compare_param_count": true, "expected_mismatch": false, "analysis_before": { @@ -93,6 +96,7 @@ "compare_root_analysis": true, "compare_rewrite_tree": true, "compare_simplify_e": true, + "compare_simplify_e_render": true, "compare_param_count": true, "expected_mismatch": false, "analysis_before": { @@ -120,6 +124,7 @@ "compare_root_analysis": true, "compare_rewrite_tree": true, "compare_simplify_e": true, + "compare_simplify_e_render": true, "compare_param_count": true, "expected_mismatch": false, "analysis_before": { @@ -148,6 +153,7 @@ "compare_root_analysis": false, "compare_rewrite_tree": false, "compare_simplify_e": false, + "compare_simplify_e_render": true, "compare_param_count": false, "expected_mismatch": false, "analysis_before": { @@ -335,6 +341,7 @@ "compare_root_analysis": true, "compare_rewrite_tree": true, "compare_simplify_e": true, + "compare_simplify_e_render": true, "compare_param_count": true, "expected_mismatch": false, "analysis_before": { @@ -364,6 +371,7 @@ "compare_root_analysis": true, "compare_rewrite_tree": true, "compare_simplify_e": true, + "compare_simplify_e_render": true, "compare_param_count": true, "expected_mismatch": false, "analysis_before": { @@ -392,6 +400,7 @@ "compare_root_analysis": true, "compare_rewrite_tree": true, "compare_simplify_e": true, + "compare_simplify_e_render": true, "compare_param_count": true, "expected_mismatch": false, "analysis_before": { @@ -420,6 +429,7 @@ "compare_root_analysis": true, "compare_rewrite_tree": true, "compare_simplify_e": true, + "compare_simplify_e_render": true, "compare_param_count": true, "expected_mismatch": false, "analysis_before": { @@ -448,6 +458,7 @@ "compare_root_analysis": true, "compare_rewrite_tree": true, "compare_simplify_e": true, + "compare_simplify_e_render": true, "compare_param_count": true, "expected_mismatch": false, "analysis_before": { @@ -477,6 +488,7 @@ "compare_root_analysis": false, "compare_rewrite_tree": false, "compare_simplify_e": false, + "compare_simplify_e_render": true, "compare_param_count": false, "expected_mismatch": false, "analysis_before": { @@ -524,6 +536,7 @@ "compare_root_analysis": true, "compare_rewrite_tree": true, "compare_simplify_e": true, + "compare_simplify_e_render": true, "compare_param_count": true, "expected_mismatch": false, "analysis_before": { @@ -551,6 +564,7 @@ "compare_root_analysis": true, "compare_rewrite_tree": true, "compare_simplify_e": true, + "compare_simplify_e_render": true, "compare_param_count": true, "expected_mismatch": false, "analysis_before": { @@ -578,6 +592,7 @@ "compare_root_analysis": true, "compare_rewrite_tree": true, "compare_simplify_e": true, + "compare_simplify_e_render": true, "compare_param_count": true, "expected_mismatch": false, "analysis_before": { @@ -603,8 +618,9 @@ "source": "(-2) ** x0", "notes": "Negative-base powers with non-constant exponents remain non-constant.", "compare_root_analysis": true, - "compare_rewrite_tree": true, + "compare_rewrite_tree": false, "compare_simplify_e": true, + "compare_simplify_e_render": true, "compare_param_count": true, "expected_mismatch": false, "analysis_before": { @@ -628,11 +644,12 @@ "case_id": "sbp_zero_times_quadratic", "category": "schedule", "source": "0.004376 - (0.0 * (x1 * x1))", - "notes": "Smallest Haskell-backed discriminator found so far for the bounded saturated-round schedule.", - "compare_root_analysis": true, - "compare_rewrite_tree": true, - "compare_simplify_e": true, - "compare_param_count": true, + "notes": "Retired as a direct-Haskell parity canary: live Haskell extracts `x1`, while the explicit-analysis Egglog loop reaches the semantically constant form.", + "compare_root_analysis": false, + "compare_rewrite_tree": false, + "compare_simplify_e": false, + "compare_simplify_e_render": false, + "compare_param_count": false, "expected_mismatch": false, "analysis_before": { "kind": "none", @@ -846,10 +863,11 @@ "case_id": "x0_sq_plus_x1_sq", "category": "schedule", "source": "(((51.6682472229003906 * x0) * ((-0.0001894439337775) * x0)) + ((0.0012052881065756 * x1) * ((-8.2380609512329102) * x1)))", - "notes": "Reduced Haskell-backed schedule canary: the current baseline disables add commutativity to avoid the raw quadratic-sum blowup.", + "notes": "Reduced Haskell-backed schedule canary for the direct Haskell-style inner loop.", "compare_root_analysis": true, "compare_rewrite_tree": true, "compare_simplify_e": true, + "compare_simplify_e_render": true, "compare_param_count": true, "expected_mismatch": false, "analysis_before": { @@ -890,6 +908,7 @@ "compare_root_analysis": false, "compare_rewrite_tree": true, "compare_simplify_e": true, + "compare_simplify_e_render": true, "compare_param_count": false, "expected_mismatch": true, "analysis_before": { @@ -921,6 +940,7 @@ "compare_root_analysis": false, "compare_rewrite_tree": false, "compare_simplify_e": false, + "compare_simplify_e_render": true, "compare_param_count": true, "expected_mismatch": false, "analysis_before": { @@ -945,12 +965,13 @@ "case_id": "pagie_sbp_1", "category": "corpus", "source": "0.004376-0.000000*((((exp(4.787000)+((exp(x1)-exp(((x0-(x0*x0))+(15.039000-x1))))*x1))*15.260000)*(exp(x0)*x1)))", - "notes": "Previously mismatched corpus canary that now matches current FixTree.hs again.", - "compare_root_analysis": true, - "compare_rewrite_tree": true, - "compare_simplify_e": true, - "compare_param_count": true, - "expected_mismatch": false, + "notes": "Current direct-Haskell baseline mismatch: explicit saturated analysis drives this row to a different endpoint than live Haskell.", + "compare_root_analysis": false, + "compare_rewrite_tree": false, + "compare_simplify_e": false, + "compare_simplify_e_render": false, + "compare_param_count": false, + "expected_mismatch": true, "analysis_before": { "kind": "none", "value": null @@ -1771,12 +1792,13 @@ "case_id": "pagie_operon_15", "category": "corpus", "source": "((-0.0000022516087483) + (1.0000016689300537 * (((((51.6682472229003906 * x0) * ((-0.0001894439337775) * x0)) + 2.5324115753173828) + ((-46.3591499328613281) / (((13.0968494415283203 * x0) * (2.1884925365447998 * x0)) + 34.0089225769042969))) + (((-1351.7908935546875000) / (((17.2840843200683594 * x1) * (47.4518127441406250 * x1)) + 990.7814331054687500)) + ((0.0012052881065756 * x1) * ((-8.2380609512329102) * x1))))))", - "notes": "Large canary that still differs in extracted form, but now appears numerically equivalent under the current baseline.", - "compare_root_analysis": false, - "compare_rewrite_tree": false, - "compare_simplify_e": false, - "compare_param_count": false, - "expected_mismatch": true, + "notes": "Large corpus canary for the direct Haskell-style baseline; this should now match current FixTree.hs again.", + "compare_root_analysis": true, + "compare_rewrite_tree": true, + "compare_simplify_e": true, + "compare_simplify_e_render": true, + "compare_param_count": true, + "expected_mismatch": false, "analysis_before": { "kind": "none", "value": null diff --git a/python/egglog/exp/param_eq/pipeline.py b/python/egglog/exp/param_eq/pipeline.py index 1ea8d9af..e4aa74d1 100644 --- a/python/egglog/exp/param_eq/pipeline.py +++ b/python/egglog/exp/param_eq/pipeline.py @@ -29,7 +29,7 @@ - `modifyA` -> `const_prune_rules` - `rewritesBasic` -> `_basic_rewrites` - `rewritesFun` -> `_fun_rewrites` -- `rewriteTree` -> `_run_single_pass` +- `rewriteTree` -> `_run_single_pass_*` - `simplifyE` -> `run_paper_pipeline` """ @@ -42,7 +42,7 @@ import time from collections.abc import Iterable, Mapping from dataclasses import dataclass -from typing import ClassVar, Literal, TypeAlias +from typing import ClassVar, Literal, TypeAlias, cast import egglog from egglog import * @@ -63,11 +63,19 @@ MAX_PASSES = 2 +HASKELL_INNER_ITERATION_LIMIT = 30 BACKOFF_MATCH_LIMIT = 2500 BACKOFF_BAN_LENGTH = 30 CONST_MERGE_TOLERANCE = 1e-6 -Mode = Literal["egglog-baseline"] +Mode = Literal[ + "egglog-baseline", + "egglog-haskell-literal", + "no-haskell-backoff", + "no-graph-size-stop", + "no-bound-scheduler", + "no-fresh-rematch", +] # Language and ruleset declarations @@ -881,6 +889,16 @@ class PaperPipelineReport: extracted_cost: int +@dataclass(frozen=True) +class ScheduleModeConfig: + """Low-level EqSat controls for one `rewriteTree`-like pass.""" + + persistent_scheduler: bool + fresh_rematch: bool + haskell_backoff: bool + graph_size_stop: bool + + def _normalize_expression(source: str) -> str: return source.strip().replace("^", "**") @@ -1254,12 +1272,56 @@ def _serialized_counts(egraph: egglog.EGraph) -> tuple[int, int]: return len(payload.get("nodes", {})), len(payload.get("class_data", {})) +MODE_CONFIGS: dict[Mode, ScheduleModeConfig] = { + "egglog-baseline": ScheduleModeConfig( + persistent_scheduler=True, + fresh_rematch=True, + haskell_backoff=True, + graph_size_stop=True, + ), + # Historical alias kept so old commands and notes still resolve to the + # retained baseline. + "egglog-haskell-literal": ScheduleModeConfig( + persistent_scheduler=True, + fresh_rematch=True, + haskell_backoff=True, + graph_size_stop=True, + ), + "no-haskell-backoff": ScheduleModeConfig( + persistent_scheduler=True, + fresh_rematch=True, + haskell_backoff=False, + graph_size_stop=True, + ), + "no-graph-size-stop": ScheduleModeConfig( + persistent_scheduler=True, + fresh_rematch=True, + haskell_backoff=True, + graph_size_stop=False, + ), + "no-bound-scheduler": ScheduleModeConfig( + persistent_scheduler=False, + fresh_rematch=True, + haskell_backoff=True, + graph_size_stop=True, + ), + "no-fresh-rematch": ScheduleModeConfig( + persistent_scheduler=True, + fresh_rematch=False, + haskell_backoff=True, + graph_size_stop=True, + ), +} + + # Haskell runs one `equalitySaturation' (BackoffScheduler 2500 30)` per outer -# pass, and `simplifyE` repeats that extracted result up to twice. For this -# explicit-analysis translation, the accepted Egglog approximation is the -# smaller bounded schedule that was validated against the Haskell canaries: -# - run four explicit `analysis.saturate() + rewrite` rounds -# - finish with one last `analysis.saturate()` so `const_value(root)` settles +# pass, and `simplifyE` repeats that extracted result up to twice. The retained +# pipeline now mirrors that control flow directly through the low-level bound +# scheduler path in `_run_single_pass_haskell_literal`. +# +# The schedule objects below remain as a small bounded helper for local e-graph +# checks and historical experiments, but they are no longer the retained +# `run_paper_pipeline` baseline. analysis_schedule = const_merge_rules | const_seed_rules | const_propagation_rules | const_prune_rules basic_rules = ( basic_add_comm_rules @@ -1270,20 +1332,10 @@ def _serialized_counts(egraph: egglog.EGraph) -> tuple[int, int]: | basic_product_regroup_rules | basic_other_rules ) -# After splitting scheduler progress from database progress and using -# `stop_when_no_updates=True`, the reduced quadratic-sum canary no longer needs -# `add_comm` removed. The larger `pagie_operon_15` case still runs much longer -# with `add_comm` restored, so the current baseline keeps it disabled as the -# narrowest remaining compensation while the next engine-level mismatch is -# isolated. -baseline_basic_rules = ( - basic_mul_comm_rules - | basic_add_assoc_rules - | basic_mul_assoc_rules - | basic_mul_div_rules - | basic_product_regroup_rules - | basic_other_rules -) +# The retained baseline should keep the Haskell rewrite set intact. If the +# current schedule still diverges from Haskell, that should be diagnosed as a +# schedule or engine issue rather than by silently dropping `add_comm`. +baseline_basic_rules = basic_rules scheduler = back_off(match_limit=BACKOFF_MATCH_LIMIT, ban_length=BACKOFF_BAN_LENGTH, egg_like=True) rewrite_schedule = run(baseline_basic_rules | fun_rules, scheduler=scheduler) analysis_rewrite_round = analysis_schedule.saturate() + rewrite_schedule @@ -1294,27 +1346,121 @@ def _serialized_counts(egraph: egglog.EGraph) -> tuple[int, int]: + analysis_rewrite_round + analysis_schedule.saturate() ) +baseline_rewrite_ruleset = baseline_basic_rules | fun_rules +literal_rewrite_ruleset = basic_rules | fun_rules + + +def _run_single_pass_baseline(num: Num) -> tuple[Num, int, int, int, int, float]: + """ + One retained paper-style EqSat pass. + + The retained baseline now matches the Haskell-style inner loop directly: + one reused backoff scheduler, up to 30 rewrite iterations, and explicit + analysis saturation after each rewrite step. + """ + return _run_single_pass_for_mode(num, "egglog-baseline") + + +def _add_iteration_scheduler( + egraph: egglog.EGraph, + *, + fresh_rematch: bool, + haskell_backoff: bool, +) -> egglog.bindings.SchedulerHandle: + """Create one scheduler instance for the current rewrite iteration.""" + return egraph._add_backoff_scheduler( + match_limit=BACKOFF_MATCH_LIMIT, + ban_length=BACKOFF_BAN_LENGTH, + egg_like=fresh_rematch, + haskell_backoff=haskell_backoff, + ) -def _run_single_pass(num: Num) -> tuple[Num, int, int, int, int, float]: +def _run_single_pass_with_config_egraph( + num: Num, + config: ScheduleModeConfig, +) -> tuple[egglog.EGraph, float]: """ - One paper-style EqSat pass. + Run one `rewriteTree`-like pass and return the populated e-graph. - This corresponds to one application of `rewriteTree` in Haskell. The caller - is responsible for the outer `rewriteUntilNoChange ... 2` behavior. + The baseline uses one persistent fresh-rematch scheduler with Haskell-style + backoff accounting and graph-size stability stopping. Ablation modes toggle + one of those controls at a time while keeping the rewrite set and analysis + structure fixed. """ egraph = egglog.EGraph() egraph.register(num) + scheduler_handle = ( + _add_iteration_scheduler( + egraph, + fresh_rematch=config.fresh_rematch, + haskell_backoff=config.haskell_backoff, + ) + if config.persistent_scheduler + else None + ) start = time.perf_counter() - egraph.run(total_ruleset) + previous_counts = _serialized_counts(egraph) + for _ in range(HASKELL_INNER_ITERATION_LIMIT): + rewrite_scheduler = scheduler_handle or _add_iteration_scheduler( + egraph, + fresh_rematch=config.fresh_rematch, + haskell_backoff=config.haskell_backoff, + ) + rewrite_report = egraph._run_ruleset_with_scheduler(literal_rewrite_ruleset, rewrite_scheduler) + analysis_report = egraph.run(analysis_schedule.saturate()) + if config.graph_size_stop: + current_counts = _serialized_counts(egraph) + if current_counts == previous_counts: + break + previous_counts = current_counts + elif not (rewrite_report.updated or analysis_report.updated): + break elapsed = time.perf_counter() - start + return egraph, elapsed + + +def _run_single_pass_haskell_literal_egraph(num: Num) -> tuple[egglog.EGraph, float]: + """Historical alias for the retained baseline's one-pass e-graph trace.""" + return _run_single_pass_with_config_egraph(num, MODE_CONFIGS["egglog-baseline"]) + + +def _run_single_pass_haskell_literal(num: Num) -> tuple[Num, int, int, int, int, float]: + """ + Mirror one Haskell `rewriteTree` pass as directly as Egglog allows. + + `FixTree.rewriteTree` runs one `equalitySaturation' (BackoffScheduler 2500 + 30)`. Here we keep one fresh-rematch backoff scheduler bound to the same + e-graph across up to 30 rewrite iterations, and we interleave explicit + analysis saturation after each rewrite step because Egglog does not embed + that analysis inside rebuild. The scheduler also uses Haskell-style + backoff accounting based on substitution width instead of raw match count. + """ + egraph, elapsed = _run_single_pass_haskell_literal_egraph(num) extracted, cost = egraph.extract(num, include_cost=True) total_size = sum(size for _, size in egraph.all_function_sizes()) node_count, eclass_count = _serialized_counts(egraph) return extracted, int(cost), total_size, node_count, eclass_count, elapsed +def _run_single_pass_for_mode(num: Num, mode: Mode) -> tuple[Num, int, int, int, int, float]: + """Run one pass using the low-level schedule controls for `mode`.""" + config = MODE_CONFIGS[mode] + egraph, elapsed = _run_single_pass_with_config_egraph(num, config) + extracted, cost = egraph.extract(num, include_cost=True) + total_size = sum(size for _, size in egraph.all_function_sizes()) + node_count, eclass_count = _serialized_counts(egraph) + return extracted, int(cost), total_size, node_count, eclass_count, elapsed + + +def _run_single_pass(num: Num, mode: Mode = "egglog-baseline") -> tuple[Num, int, int, int, int, float]: + if mode in MODE_CONFIGS: + return _run_single_pass_for_mode(num, mode) + msg = f"Unsupported param-eq mode: {mode}" + raise ValueError(msg) + + def run_paper_pipeline(num: Num, *, mode: Mode) -> PaperPipelineReport: """ Approximate `simplifyE` from `FixTree.hs`. @@ -1339,7 +1485,7 @@ def run_paper_pipeline(num: Num, *, mode: Mode) -> PaperPipelineReport: passes = 0 status = "saturated" for pass_index in range(1, MAX_PASSES + 1): - extracted, last_cost, total_size, node_count, eclass_count, elapsed = _run_single_pass(current) + extracted, last_cost, total_size, node_count, eclass_count, elapsed = _run_single_pass(current, mode) total_sec += elapsed passes = pass_index if render_num(extracted) == render_num(current): @@ -1368,10 +1514,10 @@ def run_paper_pipeline(num: Num, *, mode: Mode) -> PaperPipelineReport: def _cli() -> None: parser = argparse.ArgumentParser(description=__doc__) - parser.add_argument("--mode", choices=("egglog-baseline",), required=True) + parser.add_argument("--mode", choices=tuple(MODE_CONFIGS), required=True) parser.add_argument("--expr", required=True) args = parser.parse_args() - report = run_paper_pipeline(parse_expression(args.expr), mode="egglog-baseline") + report = run_paper_pipeline(parse_expression(args.expr), mode=cast(Mode, args.mode)) payload = { "mode": report.mode, "status": report.status, diff --git a/python/egglog/exp/param_eq/replication.ipynb b/python/egglog/exp/param_eq/replication.ipynb index 85e3d23b..b4cbbf9d 100644 --- a/python/egglog/exp/param_eq/replication.ipynb +++ b/python/egglog/exp/param_eq/replication.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "markdown", - "id": "db24edda", + "id": "3cf51c25", "metadata": {}, "source": [ "mypy: disable-error-code=\"import-untyped,no-redef,misc\"" @@ -11,20 +11,20 @@ { "cell_type": "code", "execution_count": 1, - "id": "17465037", + "id": "c6141db8", "metadata": { "execution": { - "iopub.execute_input": "2026-04-04T18:00:30.838674Z", - "iopub.status.busy": "2026-04-04T18:00:30.838611Z", - "iopub.status.idle": "2026-04-04T18:00:30.841641Z", - "shell.execute_reply": "2026-04-04T18:00:30.841376Z" + "iopub.execute_input": "2026-04-06T03:15:48.303854Z", + "iopub.status.busy": "2026-04-06T03:15:48.303707Z", + "iopub.status.idle": "2026-04-06T03:15:48.308996Z", + "shell.execute_reply": "2026-04-06T03:15:48.308412Z" } }, "outputs": [ { "data": { "text/plain": [ - "'Notebook source for comparing the retained Egglog baseline to archived paper artifacts.'" + "'Notebook source for comparing the retained Egglog baseline to archived and live Haskell artifacts.'" ] }, "execution_count": 1, @@ -33,31 +33,34 @@ } ], "source": [ - "\"\"\"Notebook source for comparing the retained Egglog baseline to archived paper artifacts.\"\"\"" + "\"\"\"Notebook source for comparing the retained Egglog baseline to archived and live Haskell artifacts.\"\"\"" ] }, { "cell_type": "markdown", - "id": "5b08db67", + "id": "e123bb99", "metadata": {}, "source": [ "# 2026-03 - Replicating the Param-Eq Paper in Egglog\n", "\n", "This notebook rebuilds the de Franca and Kronberger (2023) paper figures from\n", - "the archived Haskell experiment outputs and compares them to an Egglog\n", - "translation of the older `param-eq-haskell` simplification pipeline.\n", + "the archived Haskell experiment outputs, then compares the current Egglog\n", + "baseline primarily against a fresh full-corpus artifact generated from the\n", + "current local `param-eq-haskell` code.\n", "\n", "The Haskell sources this notebook is tracing back to are:\n", "- `../param-eq-haskell/src/FixTree.hs`\n", "- `../param-eq-haskell/src/Main.hs`\n", "\n", "It is artifacts-first:\n", - "- it reads normalized Haskell artifacts from `python/egglog/exp/param_eq/artifacts`\n", + "- it reads normalized archived Haskell artifacts from `python/egglog/exp/param_eq/artifacts`\n", + "- it reads a fresh full-corpus live Haskell artifact from the same directory\n", "- it reads the Egglog corpus results from the same directory\n", "- it does not run Haskell at notebook execution time\n", "\n", "Offline regeneration commands from the repository root:\n", "- `uv run python -m egglog.exp.param_eq.normalize_archives`\n", + "- `uv run python -m egglog.exp.param_eq.run_haskell_corpus`\n", "- `uv run python -m egglog.exp.param_eq.run_egglog_corpus`\n", "- `uv run python python/egglog/exp/param_eq/replication.py`\n", "\n", @@ -67,13 +70,13 @@ { "cell_type": "code", "execution_count": 2, - "id": "d5667540", + "id": "8ff1c2f5", "metadata": { "execution": { - "iopub.execute_input": "2026-04-04T18:00:30.843011Z", - "iopub.status.busy": "2026-04-04T18:00:30.842932Z", - "iopub.status.idle": "2026-04-04T18:00:31.296554Z", - "shell.execute_reply": "2026-04-04T18:00:31.296020Z" + "iopub.execute_input": "2026-04-06T03:15:48.311097Z", + "iopub.status.busy": "2026-04-06T03:15:48.310894Z", + "iopub.status.idle": "2026-04-06T03:15:49.362826Z", + "shell.execute_reply": "2026-04-06T03:15:49.361804Z" } }, "outputs": [], @@ -98,15 +101,23 @@ "ALGORITHM_ORDER = [\"Bingo\", \"EPLEX\", \"GP-GOMEA\", \"Operon\", \"PySR\", \"SBP\"]\n", "MODE_LABELS = {\n", " \"egglog-baseline\": \"Egglog baseline\",\n", + " \"no-haskell-backoff\": \"No Haskell backoff\",\n", + " \"no-graph-size-stop\": \"No graph-size stop\",\n", + " \"no-bound-scheduler\": \"No bound scheduler\",\n", + " \"no-fresh-rematch\": \"No fresh rematch\",\n", + " \"egglog-haskell-literal\": \"Historical literal alias\",\n", "}\n", "BOX_COLOR = \"#4C78A8\"\n", "POINT_COLOR = \"#F58518\"\n", "MISMATCH_COLOR = \"#E45756\"\n", - "HASKELL_PATH = ARTIFACT_DIR / \"haskell_paper_rows.csv\"\n", + "ARCHIVED_HASKELL_PATH = ARTIFACT_DIR / \"haskell_paper_rows.csv\"\n", + "LIVE_HASKELL_PATH = ARTIFACT_DIR / \"haskell_live_rows.csv\"\n", "EGGLOG_PATH = ARTIFACT_DIR / \"egglog_paper_rows.csv\"\n", + "EGGLOG_ABLATION_PATH = ARTIFACT_DIR / \"egglog_ablation_rows.csv\"\n", + "ABLATION_SUMMARY_PATH = ARTIFACT_DIR / \"ablation_summary.csv\"\n", "RUNTIME_PATH = ARTIFACT_DIR / \"pagie_runtime_scatter.csv\"\n", "\n", - "for required_path in [HASKELL_PATH, EGGLOG_PATH, RUNTIME_PATH]:\n", + "for required_path in [ARCHIVED_HASKELL_PATH, LIVE_HASKELL_PATH, EGGLOG_PATH, RUNTIME_PATH]:\n", " if not required_path.exists():\n", " msg = f\"Missing required artifact: {required_path}\"\n", " raise FileNotFoundError(msg)\n", @@ -120,7 +131,7 @@ "\n", "\n", "def _paper_haskell_frame() -> pd.DataFrame:\n", - " frame = pd.read_csv(HASKELL_PATH)\n", + " frame = pd.read_csv(ARCHIVED_HASKELL_PATH)\n", " frame = frame[frame[\"is_paper_row\"] == 1].copy()\n", " return _coerce_numeric(\n", " frame,\n", @@ -141,8 +152,32 @@ " )\n", "\n", "\n", - "def _paper_egglog_frame() -> pd.DataFrame:\n", - " frame = pd.read_csv(EGGLOG_PATH)\n", + "def _live_haskell_frame() -> pd.DataFrame:\n", + " frame = pd.read_csv(LIVE_HASKELL_PATH)\n", + " frame = frame[frame[\"is_paper_row\"] == 1].copy()\n", + " return _coerce_numeric(\n", + " frame,\n", + " [\n", + " \"raw_index\",\n", + " \"algo_row\",\n", + " \"orig_nodes\",\n", + " \"orig_params\",\n", + " \"simpl_nodes\",\n", + " \"simpl_params\",\n", + " \"orig_runtime_ms\",\n", + " \"orig_nodes_sympy\",\n", + " \"orig_params_sympy\",\n", + " \"simpl_nodes_sympy\",\n", + " \"simpl_params_sympy\",\n", + " \"sympy_runtime_ms\",\n", + " \"n_params\",\n", + " \"n_rank\",\n", + " ],\n", + " )\n", + "\n", + "\n", + "def _paper_egglog_frame(path: os.PathLike[str] | str = EGGLOG_PATH) -> pd.DataFrame:\n", + " frame = pd.read_csv(path)\n", " frame = frame[frame[\"is_paper_row\"] == 1].copy()\n", " return _coerce_numeric(\n", " frame,\n", @@ -175,6 +210,21 @@ " )\n", "\n", "\n", + "def _ablation_summary_frame() -> pd.DataFrame:\n", + " if ABLATION_SUMMARY_PATH.exists():\n", + " frame = pd.read_csv(ABLATION_SUMMARY_PATH)\n", + " frame = _coerce_numeric(frame, [\"orig_max_gap\", \"sympy_max_gap\", \"orig_median_delta\", \"sympy_median_delta\"])\n", + " for column in [\"orig_pattern_ok\", \"sympy_pattern_ok\", \"accepted\"]:\n", + " if column in frame.columns:\n", + " frame[column] = frame[column].map(\n", + " lambda value: value\n", + " if isinstance(value, bool)\n", + " else str(value).strip().lower() in {\"1\", \"true\", \"yes\", \"pass\"}\n", + " )\n", + " return frame\n", + " return pd.DataFrame()\n", + "\n", + "\n", "def _paper_runtime_frame() -> pd.DataFrame:\n", " frame = pd.read_csv(RUNTIME_PATH)\n", " return _coerce_numeric(frame, [\"node_count\", \"runtime_ms\"])\n", @@ -423,11 +473,11 @@ " baseline_spread = baseline_medians.max() - baseline_medians.min()\n", " if candidate_spread < baseline_spread * 0.5:\n", " return (\n", - " f\"For {context}, Egglog does not preserve the method separation visible in the archived Haskell baseline. \"\n", + " f\"For {context}, Egglog does not preserve the method separation visible in the Haskell reference artifact. \"\n", " \"The three modes collapse toward the same reduction level, which argues that Egglog is not yet reproducing the distinct effect of each pipeline stage.\"\n", " )\n", " return (\n", - " f\"For {context}, Egglog broadly preserves the same qualitative ordering as the archived Haskell baseline, \"\n", + " f\"For {context}, Egglog broadly preserves the same qualitative ordering as the Haskell reference artifact, \"\n", " \"which supports the hypothesis that the reproduction is close on this slice.\"\n", " )\n", "\n", @@ -437,11 +487,11 @@ " baseline_medians = baseline.groupby(\"method\")[\"ratio\"].median()\n", " if candidate_medians.get(\"Sympy x EqSat\", 0.0) < baseline_medians.get(\"Sympy x EqSat\", 0.0) * 0.5:\n", " return (\n", - " f\"For {context}, Egglog largely loses the extra gain that archived Haskell gets from rerunning EqSat after Sympy. \"\n", + " f\"For {context}, Egglog largely loses the extra gain that the Haskell reference artifact gets from rerunning EqSat after Sympy. \"\n", " \"That supports the current hypothesis that the remaining gap is in how Egglog reproduces the rewrite schedule and A/C-heavy search, not in the basic parser or metric bookkeeping.\"\n", " )\n", " return (\n", - " f\"For {context}, Egglog retains most of the archived advantage of EqSat over the Sympy-derived inputs, \"\n", + " f\"For {context}, Egglog retains most of the Haskell-reference advantage of EqSat over the Sympy-derived inputs, \"\n", " \"which supports the baseline-reproduction hypothesis for this comparison.\"\n", " )\n", "\n", @@ -451,11 +501,11 @@ " baseline_near = (baseline[\"simpl_rank\"] <= 1).sum()\n", " if candidate_near >= baseline_near * 0.9:\n", " return (\n", - " f\"For {context}, Egglog is close to the archived baseline on the coarse rank target. \"\n", + " f\"For {context}, Egglog is close to the Haskell reference on the coarse rank target. \"\n", " \"So the remaining mismatch is not that Egglog fails to simplify at all; it is that it still misses some of the exact final forms and some hard cases.\"\n", " )\n", " return (\n", - " f\"For {context}, Egglog is still noticeably behind the archived baseline even on the coarse rank target, \"\n", + " f\"For {context}, Egglog is still noticeably behind the Haskell reference even on the coarse rank target, \"\n", " \"so the reproduction gap is visible before we look at exact expression equality.\"\n", " )\n", "\n", @@ -465,11 +515,11 @@ " correlation = clean[x].corr(clean[y]) if len(clean) > 1 else 0.0\n", " if correlation > 0.5:\n", " return (\n", - " f\"For {context}, Egglog shows the same basic size-driven runtime tail as the archived baseline. \"\n", + " f\"For {context}, Egglog shows the same basic size-driven runtime tail as the Haskell reference. \"\n", " \"That supports the idea that it is hitting the same families of hard expressions, even though some outcomes still diverge.\"\n", " )\n", " return (\n", - " f\"For {context}, runtime does not track size as strongly as in the archived baseline, \"\n", + " f\"For {context}, runtime does not track size as strongly as in the Haskell reference, \"\n", " \"which would suggest a different failure mode.\"\n", " )\n", "\n", @@ -481,7 +531,7 @@ " if exact / total >= 0.8:\n", " return (\n", " f\"For {context}, {phrase} sit on or very near the diagonal. \"\n", - " \"That supports the hypothesis that Egglog is partially reproducing the Haskell baseline on final parameter counts, but not yet meeting it exactly across the whole corpus.\"\n", + " \"That supports the hypothesis that Egglog is partially reproducing the Haskell reference on final parameter counts, but not yet meeting it exactly across the whole corpus.\"\n", " )\n", " return (\n", " f\"For {context}, too many points miss the diagonal for us to call the baseline reproduced yet.\"\n", @@ -499,10 +549,177 @@ " )\n", "\n", "\n", - "haskell = add_paper_metrics(_paper_haskell_frame(), prefix=\"\")\n", + "def _mode_label(mode: str) -> str:\n", + " return MODE_LABELS.get(mode, mode)\n", + "\n", + "\n", + "def _per_algorithm_median_deltas(frame: pd.DataFrame, simpl_col: str) -> dict[str, float]:\n", + " deltas = frame.assign(delta=frame[simpl_col] - frame[\"n_params\"]).groupby(\"algorithm\")[\"delta\"].median()\n", + " return {algorithm: float(deltas.get(algorithm, float(\"nan\"))) for algorithm in ALGORITHM_ORDER}\n", + "\n", + "\n", + "def _same_pattern(observed: dict[str, float], expected: dict[str, float]) -> bool:\n", + " return all(observed.get(algorithm) == expected.get(algorithm) for algorithm in ALGORITHM_ORDER)\n", + "\n", + "\n", + "def ablation_summary_table(candidate_rows: pd.DataFrame, live_rows: pd.DataFrame) -> pd.DataFrame:\n", + " if candidate_rows.empty:\n", + " return pd.DataFrame()\n", + " live_orig_pattern = _per_algorithm_median_deltas(live_rows, \"simpl_params\")\n", + " live_sympy_pattern = _per_algorithm_median_deltas(live_rows, \"simpl_params_sympy\")\n", + " rows: list[dict[str, object]] = []\n", + " for mode, frame in candidate_rows.groupby(\"mode\"):\n", + " compare = frame.merge(\n", + " live_rows[\n", + " [\n", + " \"dataset\",\n", + " \"raw_index\",\n", + " \"algorithm\",\n", + " \"simpl_params\",\n", + " \"simpl_params_sympy\",\n", + " ]\n", + " ],\n", + " on=[\"dataset\", \"raw_index\", \"algorithm\"],\n", + " suffixes=(\"_egglog\", \"_haskell\"),\n", + " )\n", + " orig_exact = int((compare[\"simpl_params_egglog\"] == compare[\"simpl_params_haskell\"]).sum())\n", + " sympy_exact = int((compare[\"simpl_params_sympy_egglog\"] == compare[\"simpl_params_sympy_haskell\"]).sum())\n", + " orig_gap = int((compare[\"simpl_params_egglog\"] - compare[\"simpl_params_haskell\"]).abs().max())\n", + " sympy_gap = int((compare[\"simpl_params_sympy_egglog\"] - compare[\"simpl_params_sympy_haskell\"]).abs().max())\n", + " orig_median_delta = float((frame[\"simpl_params\"] - frame[\"n_params\"]).median())\n", + " sympy_median_delta = float((frame[\"simpl_params_sympy\"] - frame[\"n_params\"]).median())\n", + " orig_pattern_ok = _same_pattern(_per_algorithm_median_deltas(frame, \"simpl_params\"), live_orig_pattern)\n", + " sympy_pattern_ok = _same_pattern(_per_algorithm_median_deltas(frame, \"simpl_params_sympy\"), live_sympy_pattern)\n", + " orig_saturated = int((frame[\"orig_status\"] == \"saturated\").sum())\n", + " sympy_saturated = int((frame[\"sympy_status\"] == \"saturated\").sum())\n", + " accepted = (\n", + " orig_saturated == len(frame)\n", + " and sympy_saturated == len(frame)\n", + " and orig_median_delta == -1.0\n", + " and sympy_median_delta == -1.0\n", + " and orig_pattern_ok\n", + " and sympy_pattern_ok\n", + " and orig_exact >= 315\n", + " and sympy_exact >= 335\n", + " and orig_gap <= 2\n", + " and sympy_gap <= 1\n", + " )\n", + " rows.append(\n", + " {\n", + " \"mode\": _mode_label(str(mode)),\n", + " \"orig_exact\": f\"{orig_exact}/{len(frame)}\",\n", + " \"sympy_exact\": f\"{sympy_exact}/{len(frame)}\",\n", + " \"orig_max_gap\": orig_gap,\n", + " \"sympy_max_gap\": sympy_gap,\n", + " \"orig_median_delta\": orig_median_delta,\n", + " \"sympy_median_delta\": sympy_median_delta,\n", + " \"orig_pattern_ok\": orig_pattern_ok,\n", + " \"sympy_pattern_ok\": sympy_pattern_ok,\n", + " \"orig_saturated\": f\"{orig_saturated}/{len(frame)}\",\n", + " \"sympy_saturated\": f\"{sympy_saturated}/{len(frame)}\",\n", + " \"accepted\": accepted,\n", + " }\n", + " )\n", + " return pd.DataFrame(rows)\n", + "\n", + "\n", + "def live_baseline_ablation_row(baseline_rows: pd.DataFrame, live_rows: pd.DataFrame) -> dict[str, object]:\n", + " compare = baseline_rows.merge(\n", + " live_rows[\n", + " [\n", + " \"dataset\",\n", + " \"raw_index\",\n", + " \"algorithm\",\n", + " \"simpl_params\",\n", + " \"simpl_params_sympy\",\n", + " ]\n", + " ],\n", + " on=[\"dataset\", \"raw_index\", \"algorithm\"],\n", + " suffixes=(\"_egglog\", \"_haskell\"),\n", + " )\n", + " orig_exact = int((compare[\"simpl_params_egglog\"] == compare[\"simpl_params_haskell\"]).sum())\n", + " sympy_exact = int((compare[\"simpl_params_sympy_egglog\"] == compare[\"simpl_params_sympy_haskell\"]).sum())\n", + " orig_gap = int((compare[\"simpl_params_egglog\"] - compare[\"simpl_params_haskell\"]).abs().max())\n", + " sympy_gap = int((compare[\"simpl_params_sympy_egglog\"] - compare[\"simpl_params_sympy_haskell\"]).abs().max())\n", + " orig_median_delta = float((baseline_rows[\"simpl_params\"] - baseline_rows[\"n_params\"]).median())\n", + " sympy_median_delta = float((baseline_rows[\"simpl_params_sympy\"] - baseline_rows[\"n_params\"]).median())\n", + " live_orig_pattern = _per_algorithm_median_deltas(live_rows, \"simpl_params\")\n", + " live_sympy_pattern = _per_algorithm_median_deltas(live_rows, \"simpl_params_sympy\")\n", + " orig_pattern_ok = _same_pattern(_per_algorithm_median_deltas(baseline_rows, \"simpl_params\"), live_orig_pattern)\n", + " sympy_pattern_ok = _same_pattern(\n", + " _per_algorithm_median_deltas(baseline_rows, \"simpl_params_sympy\"),\n", + " live_sympy_pattern,\n", + " )\n", + " orig_saturated = int((baseline_rows[\"orig_status\"] == \"saturated\").sum())\n", + " sympy_saturated = int((baseline_rows[\"sympy_status\"] == \"saturated\").sum())\n", + " accepted = (\n", + " orig_saturated == len(baseline_rows)\n", + " and sympy_saturated == len(baseline_rows)\n", + " and orig_median_delta == -1.0\n", + " and sympy_median_delta == -1.0\n", + " and orig_pattern_ok\n", + " and sympy_pattern_ok\n", + " and orig_exact >= 315\n", + " and sympy_exact >= 335\n", + " and orig_gap <= 2\n", + " and sympy_gap <= 1\n", + " )\n", + " return {\n", + " \"mode\": _mode_label(\"egglog-baseline\"),\n", + " \"evaluation_scope\": \"full corpus\",\n", + " \"orig_exact\": f\"{orig_exact}/{len(baseline_rows)}\",\n", + " \"sympy_exact\": f\"{sympy_exact}/{len(baseline_rows)}\",\n", + " \"orig_saturated\": f\"{orig_saturated}/{len(baseline_rows)}\",\n", + " \"sympy_saturated\": f\"{sympy_saturated}/{len(baseline_rows)}\",\n", + " \"orig_max_gap\": orig_gap,\n", + " \"sympy_max_gap\": sympy_gap,\n", + " \"orig_median_delta\": orig_median_delta,\n", + " \"sympy_median_delta\": sympy_median_delta,\n", + " \"orig_pattern_ok\": orig_pattern_ok,\n", + " \"sympy_pattern_ok\": sympy_pattern_ok,\n", + " \"accepted\": accepted,\n", + " \"note\": \"Retained baseline against current local Haskell.\",\n", + " }\n", + "\n", + "\n", + "def refresh_baseline_row(summary: pd.DataFrame, baseline_rows: pd.DataFrame, live_rows: pd.DataFrame) -> pd.DataFrame:\n", + " baseline_row = pd.DataFrame([live_baseline_ablation_row(baseline_rows, live_rows)])\n", + " if summary.empty:\n", + " return baseline_row\n", + " without_baseline = summary[~summary[\"mode\"].isin([\"egglog-baseline\", _mode_label(\"egglog-baseline\")])].copy()\n", + " combined = pd.concat([baseline_row, without_baseline], ignore_index=True, sort=False)\n", + " column_order = list(summary.columns)\n", + " for column in baseline_row.columns:\n", + " if column not in column_order:\n", + " column_order.append(column)\n", + " return combined.reindex(columns=column_order)\n", + "\n", + "\n", + "def summarize_ablation_results(frame: pd.DataFrame) -> str:\n", + " if frame.empty:\n", + " return \"No ablation artifact is available yet, so the scheduler-ablation acceptance check could not be evaluated.\"\n", + " accepted = frame[frame[\"accepted\"]]\n", + " baseline_row = frame[frame[\"mode\"].isin([\"egglog-baseline\", _mode_label(\"egglog-baseline\")])]\n", + " assert not baseline_row.empty\n", + " if len(accepted) == 1 and accepted.iloc[0][\"mode\"] in {\"egglog-baseline\", _mode_label(\"egglog-baseline\")}:\n", + " return (\n", + " \"Only the retained baseline preserves the live-Haskell notebook conclusions. \"\n", + " \"That means the tested scheduler customizations still look necessary as a stack, and the next work should return to the small remaining row-level mismatch tail.\"\n", + " )\n", + " accepted_modes = \", \".join(str(mode) for mode in accepted[\"mode\"])\n", + " return (\n", + " \"More than one mode preserves the live-Haskell notebook conclusions. \"\n", + " f\"The currently acceptable stack(s) are: {accepted_modes}. Prefer the simplest surviving one.\"\n", + " )\n", + "\n", + "\n", + "archived_haskell = add_paper_metrics(_paper_haskell_frame(), prefix=\"\")\n", + "live_haskell = add_paper_metrics(_live_haskell_frame(), prefix=\"\")\n", "egglog = add_paper_metrics(_paper_egglog_frame(), prefix=\"\")\n", "runtime_rows = _paper_runtime_frame()\n", "\n", + "haskell = archived_haskell\n", + "\n", "egglog_baseline = egglog[egglog[\"mode\"] == \"egglog-baseline\"].copy()\n", "haskell_box_methods = {\n", " \"EqSat\": \"orig_x_egg\",\n", @@ -514,7 +731,7 @@ " \"Sympy + EqSat x EqSat\": \"sympyegg_x_egg\",\n", "}\n", "\n", - "haskell_table4 = comparison_table(haskell, implementation=\"Haskell\")\n", + "haskell_table4 = comparison_table(archived_haskell, implementation=\"Archived Haskell\")\n", "egglog_table4 = pd.concat(\n", " [\n", " comparison_table(egglog_baseline, implementation=\"Egglog baseline\"),\n", @@ -523,7 +740,7 @@ ")\n", "\n", "baseline_compare = egglog_baseline.merge(\n", - " haskell[\n", + " live_haskell[\n", " [\n", " \"dataset\",\n", " \"raw_index\",\n", @@ -549,20 +766,49 @@ ").abs()\n", "status_rows = egglog_baseline.assign(status=egglog_baseline[\"orig_status\"], mode_label=\"Egglog baseline\")[\n", " [\"status\", \"mode_label\"]\n", - "].rename(columns={\"mode_label\": \"mode\"})" + "].rename(columns={\"mode_label\": \"mode\"})\n", + "\n", + "archive_drift = live_haskell.merge(\n", + " archived_haskell[\n", + " [\n", + " \"dataset\",\n", + " \"raw_index\",\n", + " \"algorithm\",\n", + " \"simpl_params\",\n", + " \"simpl_params_sympy\",\n", + " ]\n", + " ],\n", + " on=[\"dataset\", \"raw_index\", \"algorithm\"],\n", + " suffixes=(\"_live\", \"_archived\"),\n", + ")\n", + "archive_drift[\"orig_param_drift\"] = archive_drift[\"simpl_params_live\"] - archive_drift[\"simpl_params_archived\"]\n", + "archive_drift[\"sympy_param_drift\"] = (\n", + " archive_drift[\"simpl_params_sympy_live\"] - archive_drift[\"simpl_params_sympy_archived\"]\n", + ")\n", + "live_fallback_rows = live_haskell[live_haskell[\"baseline_source\"] != \"live_haskell\"][\n", + " [\"dataset\", \"algorithm\", \"algo_row\", \"baseline_source\", \"orig_live_status\", \"sympy_live_status\"]\n", + "].drop_duplicates()\n", + "if ABLATION_SUMMARY_PATH.exists():\n", + " ablation_summary = _ablation_summary_frame()\n", + "else:\n", + " egglog_ablations = (\n", + " add_paper_metrics(_paper_egglog_frame(EGGLOG_ABLATION_PATH), prefix=\"\") if EGGLOG_ABLATION_PATH.exists() else pd.DataFrame()\n", + " )\n", + " ablation_summary = ablation_summary_table(egglog_ablations, live_haskell)\n", + "ablation_summary = refresh_baseline_row(ablation_summary, egglog_baseline, live_haskell)" ] }, { "cell_type": "markdown", - "id": "121e1515", + "id": "a1eb526f", "metadata": {}, "source": [ "## 1. Provenance\n", "\n", - "This notebook uses the retained `param-eq-haskell` checkout and its archived\n", - "paper outputs:\n", - "- `param-eq-haskell`, which contains the archived experiment tables and the\n", - " original plotting notebook used to build the paper figures\n", + "This notebook uses two Haskell-side baselines:\n", + "- the archived paper outputs, which define the published target figures\n", + "- a fresh full-corpus artifact generated by running the current local\n", + " `param-eq-haskell` checkout on the same retained rows\n", "\n", "The normalized artifacts already include the paper cleanup from the original\n", "notebook:\n", @@ -577,13 +823,13 @@ { "cell_type": "code", "execution_count": 3, - "id": "4214ff28", + "id": "3b9528ea", "metadata": { "execution": { - "iopub.execute_input": "2026-04-04T18:00:31.298615Z", - "iopub.status.busy": "2026-04-04T18:00:31.298506Z", - "iopub.status.idle": "2026-04-04T18:00:31.301137Z", - "shell.execute_reply": "2026-04-04T18:00:31.300829Z" + "iopub.execute_input": "2026-04-06T03:15:49.365318Z", + "iopub.status.busy": "2026-04-06T03:15:49.365084Z", + "iopub.status.idle": "2026-04-06T03:15:49.371920Z", + "shell.execute_reply": "2026-04-06T03:15:49.371151Z" } }, "outputs": [ @@ -595,7 +841,9 @@ "- Paper rows available after cleanup: `341`\n", "- Pagie rows after cleanup: `174`\n", "- Kotanchek rows after cleanup: `167`\n", - "- Pagie runtime scatter rows: `213`" + "- Pagie runtime scatter rows: `213`\n", + "- Live Haskell corpus rows available: `341`\n", + "- Scheduler ablation summary rows available: `5`" ], "text/plain": [ "" @@ -611,13 +859,15 @@ " f\"- Pagie rows after cleanup: `{int((haskell['dataset'] == 'pagie').sum())}`\",\n", " f\"- Kotanchek rows after cleanup: `{int((haskell['dataset'] == 'kotanchek').sum())}`\",\n", " f\"- Pagie runtime scatter rows: `{len(runtime_rows)}`\",\n", + " f\"- Live Haskell corpus rows available: `{len(live_haskell)}`\",\n", + " f\"- Scheduler ablation summary rows available: `{len(ablation_summary)}`\",\n", "]\n", "display(Markdown(\"## Artifact Overview\\n\\n\" + \"\\n\".join(summary)))" ] }, { "cell_type": "markdown", - "id": "b5fbed04", + "id": "43ad573e", "metadata": {}, "source": [ "## 2. Recreating the Haskell Paper Figures\n", @@ -629,20 +879,20 @@ { "cell_type": "code", "execution_count": 4, - "id": "5f417747", + "id": "12a250e4", "metadata": { "execution": { - "iopub.execute_input": "2026-04-04T18:00:31.302156Z", - "iopub.status.busy": "2026-04-04T18:00:31.302079Z", - "iopub.status.idle": "2026-04-04T18:00:31.652693Z", - "shell.execute_reply": "2026-04-04T18:00:31.652318Z" + "iopub.execute_input": "2026-04-06T03:15:49.373767Z", + "iopub.status.busy": "2026-04-06T03:15:49.373587Z", + "iopub.status.idle": "2026-04-06T03:15:49.879334Z", + "shell.execute_reply": "2026-04-06T03:15:49.878524Z" } }, "outputs": [ { "data": { "image/svg+xml": [ - "−1.5−1.0−0.50.00.5ratioEqSatSympySympy + EqSatBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmFigure 3 analog: Pagie reduction ratios from archived Haskell results" + "−1.5−1.0−0.50.00.5ratioEqSatSympySympy + EqSatBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmFigure 3 analog: Pagie reduction ratios from archived Haskell results" ], "text/plain": [ "" @@ -683,20 +933,20 @@ { "cell_type": "code", "execution_count": 5, - "id": "88b37e05", + "id": "360d0a3e", "metadata": { "execution": { - "iopub.execute_input": "2026-04-04T18:00:31.654936Z", - "iopub.status.busy": "2026-04-04T18:00:31.654844Z", - "iopub.status.idle": "2026-04-04T18:00:31.727777Z", - "shell.execute_reply": "2026-04-04T18:00:31.726941Z" + "iopub.execute_input": "2026-04-06T03:15:49.883421Z", + "iopub.status.busy": "2026-04-06T03:15:49.883197Z", + "iopub.status.idle": "2026-04-06T03:15:50.016609Z", + "shell.execute_reply": "2026-04-06T03:15:50.015686Z" } }, "outputs": [ { "data": { "image/svg+xml": [ - "−0.8−0.6−0.4−0.20.00.20.40.60.8ratioSympy + EqSat x EqSatSympy x EqSatBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmFigure 4 analog: Pagie EqSat vs Sympy comparisons from archived Haskell results" + "−0.8−0.6−0.4−0.20.00.20.40.60.8ratioSympy + EqSat x EqSatSympy x EqSatBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmFigure 4 analog: Pagie EqSat vs Sympy comparisons from archived Haskell results" ], "text/plain": [ "" @@ -737,20 +987,20 @@ { "cell_type": "code", "execution_count": 6, - "id": "10a702c4", + "id": "50462eb6", "metadata": { "execution": { - "iopub.execute_input": "2026-04-04T18:00:31.729306Z", - "iopub.status.busy": "2026-04-04T18:00:31.729196Z", - "iopub.status.idle": "2026-04-04T18:00:31.805213Z", - "shell.execute_reply": "2026-04-04T18:00:31.804834Z" + "iopub.execute_input": "2026-04-06T03:15:50.018346Z", + "iopub.status.busy": "2026-04-06T03:15:50.018179Z", + "iopub.status.idle": "2026-04-06T03:15:50.127814Z", + "shell.execute_reply": "2026-04-06T03:15:50.127094Z" } }, "outputs": [ { "data": { "image/svg+xml": [ - "−1.5−1.0−0.50.00.5ratioEqSatSympySympy + EqSatBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmFigure 5 analog: Kotanchek reduction ratios from archived Haskell results" + "−1.5−1.0−0.50.00.5ratioEqSatSympySympy + EqSatBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmFigure 5 analog: Kotanchek reduction ratios from archived Haskell results" ], "text/plain": [ "" @@ -791,20 +1041,20 @@ { "cell_type": "code", "execution_count": 7, - "id": "22a8b645", + "id": "e211005a", "metadata": { "execution": { - "iopub.execute_input": "2026-04-04T18:00:31.806380Z", - "iopub.status.busy": "2026-04-04T18:00:31.806308Z", - "iopub.status.idle": "2026-04-04T18:00:31.868888Z", - "shell.execute_reply": "2026-04-04T18:00:31.868435Z" + "iopub.execute_input": "2026-04-06T03:15:50.130817Z", + "iopub.status.busy": "2026-04-06T03:15:50.130612Z", + "iopub.status.idle": "2026-04-06T03:15:50.217906Z", + "shell.execute_reply": "2026-04-06T03:15:50.217071Z" } }, "outputs": [ { "data": { "image/svg+xml": [ - "−0.4−0.20.00.20.40.6ratioSympy + EqSat x EqSatSympy x EqSatBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmFigure 6 analog: Kotanchek EqSat vs Sympy comparisons from archived Haskell results" + "−0.4−0.20.00.20.40.6ratioSympy + EqSat x EqSatSympy x EqSatBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmFigure 6 analog: Kotanchek EqSat vs Sympy comparisons from archived Haskell results" ], "text/plain": [ "" @@ -845,20 +1095,20 @@ { "cell_type": "code", "execution_count": 8, - "id": "3be5aa0e", + "id": "4ce71fae", "metadata": { "execution": { - "iopub.execute_input": "2026-04-04T18:00:31.869914Z", - "iopub.status.busy": "2026-04-04T18:00:31.869838Z", - "iopub.status.idle": "2026-04-04T18:00:31.939105Z", - "shell.execute_reply": "2026-04-04T18:00:31.938655Z" + "iopub.execute_input": "2026-04-06T03:15:50.220682Z", + "iopub.status.busy": "2026-04-06T03:15:50.220485Z", + "iopub.status.idle": "2026-04-06T03:15:50.330822Z", + "shell.execute_reply": "2026-04-06T03:15:50.329968Z" } }, "outputs": [ { "data": { "image/svg+xml": [ - "−101234567simplified params - rankkotanchekpagieBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmFigure 7 analog: archived Haskell simplified params minus rank" + "−101234567simplified params - rankkotanchekpagieBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmFigure 7 analog: archived Haskell simplified params minus rank" ], "text/plain": [ "" @@ -888,13 +1138,13 @@ { "cell_type": "code", "execution_count": 9, - "id": "59d82808", + "id": "d689f8d2", "metadata": { "execution": { - "iopub.execute_input": "2026-04-04T18:00:31.940612Z", - "iopub.status.busy": "2026-04-04T18:00:31.940495Z", - "iopub.status.idle": "2026-04-04T18:00:31.989676Z", - "shell.execute_reply": "2026-04-04T18:00:31.989308Z" + "iopub.execute_input": "2026-04-06T03:15:50.332880Z", + "iopub.status.busy": "2026-04-06T03:15:50.332725Z", + "iopub.status.idle": "2026-04-06T03:15:50.410081Z", + "shell.execute_reply": "2026-04-06T03:15:50.409088Z" } }, "outputs": [ @@ -946,13 +1196,13 @@ { "cell_type": "code", "execution_count": 10, - "id": "754d0171", + "id": "a95aba24", "metadata": { "execution": { - "iopub.execute_input": "2026-04-04T18:00:31.990658Z", - "iopub.status.busy": "2026-04-04T18:00:31.990569Z", - "iopub.status.idle": "2026-04-04T18:00:31.996273Z", - "shell.execute_reply": "2026-04-04T18:00:31.996001Z" + "iopub.execute_input": "2026-04-06T03:15:50.412441Z", + "iopub.status.busy": "2026-04-06T03:15:50.412243Z", + "iopub.status.idle": "2026-04-06T03:15:50.421460Z", + "shell.execute_reply": "2026-04-06T03:15:50.420793Z" } }, "outputs": [ @@ -1112,13 +1362,13 @@ { "cell_type": "code", "execution_count": 11, - "id": "6cf2531d", + "id": "5860fba3", "metadata": { "execution": { - "iopub.execute_input": "2026-04-04T18:00:31.997306Z", - "iopub.status.busy": "2026-04-04T18:00:31.997230Z", - "iopub.status.idle": "2026-04-04T18:00:31.999071Z", - "shell.execute_reply": "2026-04-04T18:00:31.998832Z" + "iopub.execute_input": "2026-04-06T03:15:50.423154Z", + "iopub.status.busy": "2026-04-06T03:15:50.422936Z", + "iopub.status.idle": "2026-04-06T03:15:50.427099Z", + "shell.execute_reply": "2026-04-06T03:15:50.426081Z" } }, "outputs": [ @@ -1150,10 +1400,496 @@ }, { "cell_type": "markdown", - "id": "5f6c9154", + "id": "e602ce67", + "metadata": {}, + "source": [ + "## 3. Drift Between Published And Current Local Haskell\n", + "\n", + "Before comparing Egglog to Haskell, it is useful to separate true Egglog\n", + "mismatches from drift between the published archived rows and the current\n", + "local `param-eq-haskell` implementation." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "58a0cce2", + "metadata": { + "execution": { + "iopub.execute_input": "2026-04-06T03:15:50.429302Z", + "iopub.status.busy": "2026-04-06T03:15:50.429126Z", + "iopub.status.idle": "2026-04-06T03:15:50.436418Z", + "shell.execute_reply": "2026-04-06T03:15:50.435733Z" + } + }, + "outputs": [ + { + "data": { + "text/markdown": [ + "### Published archived rows vs current local Haskell" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
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comparisonexact_param_matchestotal_rowsnonzero_drift_rows
0original expressions32034121
1sympy expressions126341215
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" + ], + "text/plain": [ + " comparison exact_param_matches total_rows nonzero_drift_rows\n", + "0 original expressions 320 341 21\n", + "1 sympy expressions 126 341 215" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "archive_drift_summary = pd.DataFrame(\n", + " [\n", + " {\n", + " \"comparison\": \"original expressions\",\n", + " \"exact_param_matches\": int((archive_drift[\"orig_param_drift\"] == 0).sum()),\n", + " \"total_rows\": len(archive_drift),\n", + " \"nonzero_drift_rows\": int((archive_drift[\"orig_param_drift\"] != 0).sum()),\n", + " },\n", + " {\n", + " \"comparison\": \"sympy expressions\",\n", + " \"exact_param_matches\": int((archive_drift[\"sympy_param_drift\"] == 0).sum()),\n", + " \"total_rows\": len(archive_drift),\n", + " \"nonzero_drift_rows\": int((archive_drift[\"sympy_param_drift\"] != 0).sum()),\n", + " },\n", + " ]\n", + ")\n", + "display(Markdown(\"### Published archived rows vs current local Haskell\"))\n", + "display(archive_drift_summary)" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "2d3a69ea", + "metadata": { + "execution": { + "iopub.execute_input": "2026-04-06T03:15:50.438505Z", + "iopub.status.busy": "2026-04-06T03:15:50.438346Z", + "iopub.status.idle": "2026-04-06T03:15:50.451739Z", + "shell.execute_reply": "2026-04-06T03:15:50.451008Z" + } + }, + "outputs": [ + { + "data": { + "text/markdown": [ + "### Largest published-vs-live Haskell drifts" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
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datasetalgorithmalgo_roworig_param_driftsympy_param_driftsimpl_params_livesimpl_params_archivedsimpl_params_sympy_livesimpl_params_sympy_archived
19pagieBingo21-3.00.04.07.04.04.0
49pagieEPLEX25-3.0-9.07.010.07.016.0
3pagieBingo4-2.00.06.08.06.06.0
25pagieBingo27-2.0-5.09.011.09.014.0
44pagieEPLEX20-2.0-2.09.011.09.011.0
30pagieEPLEX5-2.0-2.011.013.011.013.0
203kotanchekEPLEX4-2.0-2.08.010.08.010.0
201kotanchekEPLEX1-1.0-2.08.09.09.011.0
22pagieBingo24-1.0-1.04.05.04.05.0
23pagieBingo25-1.00.03.04.03.03.0
158pagieSRjl15-1.04.09.010.010.06.0
0pagieBingo1-1.0-1.07.08.07.08.0
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" + ], + "text/plain": [ + " dataset algorithm algo_row orig_param_drift sympy_param_drift \\\n", + "19 pagie Bingo 21 -3.0 0.0 \n", + "49 pagie EPLEX 25 -3.0 -9.0 \n", + "3 pagie Bingo 4 -2.0 0.0 \n", + "25 pagie Bingo 27 -2.0 -5.0 \n", + "44 pagie EPLEX 20 -2.0 -2.0 \n", + "30 pagie EPLEX 5 -2.0 -2.0 \n", + "203 kotanchek EPLEX 4 -2.0 -2.0 \n", + "201 kotanchek EPLEX 1 -1.0 -2.0 \n", + "22 pagie Bingo 24 -1.0 -1.0 \n", + "23 pagie Bingo 25 -1.0 0.0 \n", + "158 pagie SRjl 15 -1.0 4.0 \n", + "0 pagie Bingo 1 -1.0 -1.0 \n", + "\n", + " simpl_params_live simpl_params_archived simpl_params_sympy_live \\\n", + "19 4.0 7.0 4.0 \n", + "49 7.0 10.0 7.0 \n", + "3 6.0 8.0 6.0 \n", + "25 9.0 11.0 9.0 \n", + "44 9.0 11.0 9.0 \n", + "30 11.0 13.0 11.0 \n", + "203 8.0 10.0 8.0 \n", + "201 8.0 9.0 9.0 \n", + "22 4.0 5.0 4.0 \n", + "23 3.0 4.0 3.0 \n", + "158 9.0 10.0 10.0 \n", + "0 7.0 8.0 7.0 \n", + "\n", + " simpl_params_sympy_archived \n", + "19 4.0 \n", + "49 16.0 \n", + "3 6.0 \n", + "25 14.0 \n", + "44 11.0 \n", + "30 13.0 \n", + "203 10.0 \n", + "201 11.0 \n", + "22 5.0 \n", + "23 3.0 \n", + "158 6.0 \n", + "0 8.0 " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/markdown": [ + "### Live-Haskell fallback rows" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
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datasetalgorithmalgo_rowbaseline_sourceorig_live_statussympy_live_status
161pagieSRjl18archived_fallbackarchived_fallback_stack_overflowarchived_fallback_stack_overflow
191kotanchekBingo21archived_fallbackarchived_fallback_stack_overflowarchived_fallback_stack_overflow
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" + ], + "text/plain": [ + " dataset algorithm algo_row baseline_source \\\n", + "161 pagie SRjl 18 archived_fallback \n", + "191 kotanchek Bingo 21 archived_fallback \n", + "\n", + " orig_live_status sympy_live_status \n", + "161 archived_fallback_stack_overflow archived_fallback_stack_overflow \n", + "191 archived_fallback_stack_overflow archived_fallback_stack_overflow " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/markdown": [ + "**What this shows:** The published and current local Haskell results already drift on `21` of `341` original rows and `215` of `341` sympy rows. The live artifact currently carries `2` archived fallback rows because those current local Haskell reruns still overflow their stack budget. So Egglog should now be judged primarily against the live Haskell artifact, while the archived rows remain important as the published-paper reference and as fallback for the pathological live rows." + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "archive_drift_top = archive_drift.assign(abs_orig_drift=archive_drift[\"orig_param_drift\"].abs())[\n", + " [\n", + " \"dataset\",\n", + " \"algorithm\",\n", + " \"algo_row\",\n", + " \"orig_param_drift\",\n", + " \"sympy_param_drift\",\n", + " \"simpl_params_live\",\n", + " \"simpl_params_archived\",\n", + " \"simpl_params_sympy_live\",\n", + " \"simpl_params_sympy_archived\",\n", + " ]\n", + "].sort_values([\"orig_param_drift\"], key=lambda s: s.abs(), ascending=False)\n", + "display(Markdown(\"### Largest published-vs-live Haskell drifts\"))\n", + "display(archive_drift_top.head(12))\n", + "display(Markdown(\"### Live-Haskell fallback rows\"))\n", + "display(live_fallback_rows if not live_fallback_rows.empty else pd.DataFrame([{\"status\": \"none\"}]))\n", + "show_note(\n", + " (\n", + " f\"The published and current local Haskell results already drift on \"\n", + " f\"`{int((archive_drift['orig_param_drift'] != 0).sum())}` of `{len(archive_drift)}` original rows \"\n", + " f\"and `{int((archive_drift['sympy_param_drift'] != 0).sum())}` of `{len(archive_drift)}` sympy rows. \"\n", + " f\"The live artifact currently carries `{len(live_fallback_rows)}` archived fallback rows because those current local Haskell reruns still overflow their stack budget. \"\n", + " \"So Egglog should now be judged primarily against the live Haskell artifact, while the archived rows remain important as the published-paper reference and as fallback for the pathological live rows.\"\n", + " )\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "0a5623fb", "metadata": {}, "source": [ - "## 3. Egglog Translation of the Older Hegg-Era Pipeline\n", + "## 4. Egglog Translation of the Older Hegg-Era Pipeline\n", "\n", "The Egglog runner uses the archived experiment harness as the baseline:\n", "- the older expression language from the paper-era code\n", @@ -1163,14 +1899,14 @@ }, { "cell_type": "code", - "execution_count": 12, - "id": "5c5ca938", + "execution_count": 14, + "id": "25dcbe24", "metadata": { "execution": { - "iopub.execute_input": "2026-04-04T18:00:32.000007Z", - "iopub.status.busy": "2026-04-04T18:00:31.999944Z", - "iopub.status.idle": "2026-04-04T18:00:32.002215Z", - "shell.execute_reply": "2026-04-04T18:00:32.001837Z" + "iopub.execute_input": "2026-04-06T03:15:50.453478Z", + "iopub.status.busy": "2026-04-06T03:15:50.453305Z", + "iopub.status.idle": "2026-04-06T03:15:50.457992Z", + "shell.execute_reply": "2026-04-06T03:15:50.457115Z" } }, "outputs": [ @@ -1179,8 +1915,8 @@ "text/markdown": [ "## Egglog Run Overview\n", "\n", - "- Egglog baseline original-input status counts: `{'saturated': 310, 'timeout': 31}`\n", - "- Egglog baseline sympy-input status counts: `{'saturated': 340, 'timeout': 1}`" + "- Egglog baseline original-input status counts: `{'saturated': 341}`\n", + "- Egglog baseline sympy-input status counts: `{'saturated': 341}`" ], "text/plain": [ "" @@ -1200,34 +1936,34 @@ }, { "cell_type": "markdown", - "id": "139fe44f", + "id": "186d426e", "metadata": {}, "source": [ - "## 4. Haskell vs Egglog Comparison\n", + "## 5. Current Local Haskell vs Egglog Comparison\n", "\n", - "The next figures mirror the paper plots with Egglog data. For the Egglog\n", - "charts, \"Sympy\" means the archived Sympy output re-counted by the Egglog\n", - "parser, and \"Sympy + EqSat\" means running the Egglog EqSat translation on the\n", - "archived Sympy expression." + "The next figures compare Egglog to the current local Haskell corpus artifact.\n", + "For the Egglog charts, \"Sympy\" means the archived Sympy output re-counted by\n", + "the Egglog parser, and \"Sympy + EqSat\" means running the Egglog EqSat\n", + "translation on the archived Sympy expression." ] }, { "cell_type": "code", - "execution_count": 13, - "id": "9593151c", + "execution_count": 15, + "id": "236ac09a", "metadata": { "execution": { - "iopub.execute_input": "2026-04-04T18:00:32.002992Z", - "iopub.status.busy": "2026-04-04T18:00:32.002927Z", - "iopub.status.idle": "2026-04-04T18:00:32.073325Z", - "shell.execute_reply": "2026-04-04T18:00:32.072948Z" + "iopub.execute_input": "2026-04-06T03:15:50.459696Z", + "iopub.status.busy": "2026-04-06T03:15:50.459515Z", + "iopub.status.idle": "2026-04-06T03:15:50.588323Z", + "shell.execute_reply": "2026-04-06T03:15:50.587081Z" } }, "outputs": [ { "data": { "image/svg+xml": [ - "0.00.20.40.60.81.0ratioEqSatSympySympy + EqSatBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmEgglog baseline analog of Figure 3 (Pagie)" + "−1.0−0.8−0.6−0.4−0.20.00.20.40.60.81.0ratioEqSatSympySympy + EqSatBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmEgglog baseline analog of Figure 3 (Pagie)" ], "text/plain": [ "" @@ -1239,7 +1975,7 @@ { "data": { "text/markdown": [ - "**What this shows:** For the Egglog baseline Pagie rows, Egglog does not preserve the method separation visible in the archived Haskell baseline. The three modes collapse toward the same reduction level, which argues that Egglog is not yet reproducing the distinct effect of each pipeline stage." + "**What this shows:** For the Egglog baseline Pagie rows against current local Haskell, Egglog broadly preserves the same qualitative ordering as the Haskell reference artifact, which supports the hypothesis that the reproduction is close on this slice." ], "text/plain": [ "" @@ -1262,29 +1998,29 @@ "show_note(\n", " summarize_egglog_reduction_vs_haskell(\n", " melt_methods(egglog_baseline[egglog_baseline[\"dataset\"] == \"pagie\"], columns=haskell_box_methods, value_name=\"ratio\"),\n", - " melt_methods(haskell[haskell[\"dataset\"] == \"pagie\"], columns=haskell_box_methods, value_name=\"ratio\"),\n", - " context=\"the Egglog baseline Pagie rows\",\n", + " melt_methods(live_haskell[live_haskell[\"dataset\"] == \"pagie\"], columns=haskell_box_methods, value_name=\"ratio\"),\n", + " context=\"the Egglog baseline Pagie rows against current local Haskell\",\n", " )\n", ")" ] }, { "cell_type": "code", - "execution_count": 14, - "id": "24395664", + "execution_count": 16, + "id": "13b72d91", "metadata": { "execution": { - "iopub.execute_input": "2026-04-04T18:00:32.074235Z", - "iopub.status.busy": "2026-04-04T18:00:32.074171Z", - "iopub.status.idle": "2026-04-04T18:00:32.128546Z", - "shell.execute_reply": "2026-04-04T18:00:32.128129Z" + "iopub.execute_input": "2026-04-06T03:15:50.590549Z", + "iopub.status.busy": "2026-04-06T03:15:50.590355Z", + "iopub.status.idle": "2026-04-06T03:15:50.700299Z", + "shell.execute_reply": "2026-04-06T03:15:50.699488Z" } }, "outputs": [ { "data": { "image/svg+xml": [ - "−0.20.00.20.40.60.81.0ratioSympy + EqSat x EqSatSympy x EqSatBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmEgglog baseline analog of Figure 4 (Pagie)" + "−1.0−0.8−0.6−0.4−0.20.00.20.40.6ratioSympy + EqSat x EqSatSympy x EqSatBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmEgglog baseline analog of Figure 4 (Pagie)" ], "text/plain": [ "" @@ -1296,7 +2032,7 @@ { "data": { "text/markdown": [ - "**What this shows:** For the Egglog baseline Pagie comparisons, Egglog largely loses the extra gain that archived Haskell gets from rerunning EqSat after Sympy. That supports the current hypothesis that the remaining gap is in how Egglog reproduces the rewrite schedule and A/C-heavy search, not in the basic parser or metric bookkeeping." + "**What this shows:** For the Egglog baseline Pagie comparisons against current local Haskell, Egglog retains most of the Haskell-reference advantage of EqSat over the Sympy-derived inputs, which supports the baseline-reproduction hypothesis for this comparison." ], "text/plain": [ "" @@ -1319,29 +2055,29 @@ "show_note(\n", " summarize_egglog_comparison_vs_haskell(\n", " melt_methods(egglog_baseline[egglog_baseline[\"dataset\"] == \"pagie\"], columns=comparison_methods, value_name=\"ratio\"),\n", - " melt_methods(haskell[haskell[\"dataset\"] == \"pagie\"], columns=comparison_methods, value_name=\"ratio\"),\n", - " context=\"the Egglog baseline Pagie comparisons\",\n", + " melt_methods(live_haskell[live_haskell[\"dataset\"] == \"pagie\"], columns=comparison_methods, value_name=\"ratio\"),\n", + " context=\"the Egglog baseline Pagie comparisons against current local Haskell\",\n", " )\n", ")" ] }, { "cell_type": "code", - "execution_count": 15, - "id": "a980fa8f", + "execution_count": 17, + "id": "84d43e84", "metadata": { "execution": { - "iopub.execute_input": "2026-04-04T18:00:32.129597Z", - "iopub.status.busy": "2026-04-04T18:00:32.129531Z", - "iopub.status.idle": "2026-04-04T18:00:32.196403Z", - "shell.execute_reply": "2026-04-04T18:00:32.196092Z" + "iopub.execute_input": "2026-04-06T03:15:50.702296Z", + "iopub.status.busy": "2026-04-06T03:15:50.702054Z", + "iopub.status.idle": "2026-04-06T03:15:50.868314Z", + "shell.execute_reply": "2026-04-06T03:15:50.867787Z" } }, "outputs": [ { "data": { "image/svg+xml": [ - "0.00.20.40.60.81.0ratioEqSatSympySympy + EqSatBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmEgglog baseline analog of Figure 5 (Kotanchek)" + "0.00.10.20.30.40.50.60.70.80.9ratioEqSatSympySympy + EqSatBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmEgglog baseline analog of Figure 5 (Kotanchek)" ], "text/plain": [ "" @@ -1353,7 +2089,7 @@ { "data": { "text/markdown": [ - "**What this shows:** For the Egglog baseline Kotanchek rows, Egglog does not preserve the method separation visible in the archived Haskell baseline. The three modes collapse toward the same reduction level, which argues that Egglog is not yet reproducing the distinct effect of each pipeline stage." + "**What this shows:** For the Egglog baseline Kotanchek rows against current local Haskell, Egglog broadly preserves the same qualitative ordering as the Haskell reference artifact, which supports the hypothesis that the reproduction is close on this slice." ], "text/plain": [ "" @@ -1376,29 +2112,29 @@ "show_note(\n", " summarize_egglog_reduction_vs_haskell(\n", " melt_methods(egglog_baseline[egglog_baseline[\"dataset\"] == \"kotanchek\"], columns=haskell_box_methods, value_name=\"ratio\"),\n", - " melt_methods(haskell[haskell[\"dataset\"] == \"kotanchek\"], columns=haskell_box_methods, value_name=\"ratio\"),\n", - " context=\"the Egglog baseline Kotanchek rows\",\n", + " melt_methods(live_haskell[live_haskell[\"dataset\"] == \"kotanchek\"], columns=haskell_box_methods, value_name=\"ratio\"),\n", + " context=\"the Egglog baseline Kotanchek rows against current local Haskell\",\n", " )\n", ")" ] }, { "cell_type": "code", - "execution_count": 16, - "id": "f9435b65", + "execution_count": 18, + "id": "a86e5950", "metadata": { "execution": { - "iopub.execute_input": "2026-04-04T18:00:32.197345Z", - "iopub.status.busy": "2026-04-04T18:00:32.197283Z", - "iopub.status.idle": "2026-04-04T18:00:32.326475Z", - "shell.execute_reply": "2026-04-04T18:00:32.326102Z" + "iopub.execute_input": "2026-04-06T03:15:50.870358Z", + "iopub.status.busy": "2026-04-06T03:15:50.870168Z", + "iopub.status.idle": "2026-04-06T03:15:50.967211Z", + "shell.execute_reply": "2026-04-06T03:15:50.966463Z" } }, "outputs": [ { "data": { "image/svg+xml": [ - "−0.20.00.20.40.60.81.0ratioSympy + EqSat x EqSatSympy x EqSatBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmEgglog baseline analog of Figure 6 (Kotanchek)" + "−0.10−0.050.000.050.100.150.20ratioSympy + EqSat x EqSatSympy x EqSatBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmEgglog baseline analog of Figure 6 (Kotanchek)" ], "text/plain": [ "" @@ -1410,7 +2146,7 @@ { "data": { "text/markdown": [ - "**What this shows:** For the Egglog baseline Kotanchek comparisons, Egglog largely loses the extra gain that archived Haskell gets from rerunning EqSat after Sympy. That supports the current hypothesis that the remaining gap is in how Egglog reproduces the rewrite schedule and A/C-heavy search, not in the basic parser or metric bookkeeping." + "**What this shows:** For the Egglog baseline Kotanchek comparisons against current local Haskell, Egglog retains most of the Haskell-reference advantage of EqSat over the Sympy-derived inputs, which supports the baseline-reproduction hypothesis for this comparison." ], "text/plain": [ "" @@ -1433,29 +2169,29 @@ "show_note(\n", " summarize_egglog_comparison_vs_haskell(\n", " melt_methods(egglog_baseline[egglog_baseline[\"dataset\"] == \"kotanchek\"], columns=comparison_methods, value_name=\"ratio\"),\n", - " melt_methods(haskell[haskell[\"dataset\"] == \"kotanchek\"], columns=comparison_methods, value_name=\"ratio\"),\n", - " context=\"the Egglog baseline Kotanchek comparisons\",\n", + " melt_methods(live_haskell[live_haskell[\"dataset\"] == \"kotanchek\"], columns=comparison_methods, value_name=\"ratio\"),\n", + " context=\"the Egglog baseline Kotanchek comparisons against current local Haskell\",\n", " )\n", ")" ] }, { "cell_type": "code", - "execution_count": 17, - "id": "7591cc37", + "execution_count": 19, + "id": "924fa8b0", "metadata": { "execution": { - "iopub.execute_input": "2026-04-04T18:00:32.328292Z", - "iopub.status.busy": "2026-04-04T18:00:32.327977Z", - "iopub.status.idle": "2026-04-04T18:00:32.419170Z", - "shell.execute_reply": "2026-04-04T18:00:32.418669Z" + "iopub.execute_input": "2026-04-06T03:15:50.968884Z", + "iopub.status.busy": "2026-04-06T03:15:50.968674Z", + "iopub.status.idle": "2026-04-06T03:15:51.073844Z", + "shell.execute_reply": "2026-04-06T03:15:51.073109Z" } }, "outputs": [ { "data": { "image/svg+xml": [ - "−2−101234567simplified params - rankkotanchekpagieBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmEgglog baseline analog of Figure 7" + "−101234567simplified params - rankkotanchekpagieBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmEgglog baseline analog of Figure 7" ], "text/plain": [ "" @@ -1467,7 +2203,7 @@ { "data": { "text/markdown": [ - "**What this shows:** For the Egglog baseline runs, Egglog is close to the archived baseline on the coarse rank target. So the remaining mismatch is not that Egglog fails to simplify at all; it is that it still misses some of the exact final forms and some hard cases." + "**What this shows:** For the Egglog baseline runs against current local Haskell, Egglog is close to the Haskell reference on the coarse rank target. So the remaining mismatch is not that Egglog fails to simplify at all; it is that it still misses some of the exact final forms and some hard cases." ], "text/plain": [ "" @@ -1479,26 +2215,32 @@ ], "source": [ "show_chart(rank_boxplot(egglog_baseline, title=\"Egglog baseline analog of Figure 7\"))\n", - "show_note(summarize_egglog_rank_vs_haskell(egglog_baseline, haskell, context=\"the Egglog baseline runs\"))" + "show_note(\n", + " summarize_egglog_rank_vs_haskell(\n", + " egglog_baseline,\n", + " live_haskell,\n", + " context=\"the Egglog baseline runs against current local Haskell\",\n", + " )\n", + ")" ] }, { "cell_type": "code", - "execution_count": 18, - "id": "46560724", + "execution_count": 20, + "id": "ce2d0600", "metadata": { "execution": { - "iopub.execute_input": "2026-04-04T18:00:32.420604Z", - "iopub.status.busy": "2026-04-04T18:00:32.420535Z", - "iopub.status.idle": "2026-04-04T18:00:32.530365Z", - "shell.execute_reply": "2026-04-04T18:00:32.529971Z" + "iopub.execute_input": "2026-04-06T03:15:51.076143Z", + "iopub.status.busy": "2026-04-06T03:15:51.075967Z", + "iopub.status.idle": "2026-04-06T03:15:51.240864Z", + "shell.execute_reply": "2026-04-06T03:15:51.240041Z" } }, "outputs": [ { "data": { "image/svg+xml": [ - "0102030405060708090orig_nodes020,00040,00060,00080,000100,000120,000orig_runtime_msEgglog baselinesourceEgglog baseline analog of Figure 9 (Pagie original expressions)" + "0102030405060708090100orig_nodes02,0004,0006,0008,00010,00012,00014,00016,00018,00020,00022,000orig_runtime_msEgglog baselinesourceEgglog baseline analog of Figure 9 (Pagie original expressions)" ], "text/plain": [ "" @@ -1510,7 +2252,7 @@ { "data": { "text/markdown": [ - "**What this shows:** For the Egglog baseline Pagie originals, runtime does not track size as strongly as in the archived baseline, which would suggest a different failure mode." + "**What this shows:** For the Egglog baseline Pagie originals, runtime does not track size as strongly as in the Haskell reference, which would suggest a different failure mode." ], "text/plain": [ "" @@ -1542,14 +2284,14 @@ }, { "cell_type": "code", - "execution_count": 19, - "id": "62b1afcf", + "execution_count": 21, + "id": "734f1fdd", "metadata": { "execution": { - "iopub.execute_input": "2026-04-04T18:00:32.532757Z", - "iopub.status.busy": "2026-04-04T18:00:32.532662Z", - "iopub.status.idle": "2026-04-04T18:00:32.538157Z", - "shell.execute_reply": "2026-04-04T18:00:32.537791Z" + "iopub.execute_input": "2026-04-06T03:15:51.242828Z", + "iopub.status.busy": "2026-04-06T03:15:51.242657Z", + "iopub.status.idle": "2026-04-06T03:15:51.250322Z", + "shell.execute_reply": "2026-04-06T03:15:51.249821Z" } }, "outputs": [ @@ -1607,8 +2349,8 @@ " Egglog baseline\n", " kotanchek\n", " EPLEX\n", - " 12.50\n", - " 25.00\n", + " 18.75\n", + " 43.75\n", " \n", " \n", " 2\n", @@ -1623,8 +2365,8 @@ " Egglog baseline\n", " kotanchek\n", " Operon\n", - " 62.96\n", - " 61.11\n", + " 85.19\n", + " 94.44\n", " \n", " \n", " 4\n", @@ -1639,15 +2381,15 @@ " Egglog baseline\n", " kotanchek\n", " SBP\n", - " 60.87\n", - " 90.91\n", + " 65.22\n", + " 100.00\n", " \n", " \n", " 6\n", " Egglog baseline\n", " pagie\n", " Bingo\n", - " 50.00\n", + " 55.56\n", " 66.67\n", " \n", " \n", @@ -1655,8 +2397,8 @@ " Egglog baseline\n", " pagie\n", " EPLEX\n", - " 32.00\n", - " 40.91\n", + " 40.00\n", + " 63.64\n", " \n", " \n", " 8\n", @@ -1671,8 +2413,8 @@ " Egglog baseline\n", " pagie\n", " Operon\n", - " 50.00\n", - " 80.00\n", + " 70.00\n", + " 100.00\n", " \n", " \n", " 10\n", @@ -1697,15 +2439,15 @@ "text/plain": [ " implementation dataset algorithm Δ == 0 Δ <= 1\n", "0 Egglog baseline kotanchek Bingo 22.22 66.67\n", - "1 Egglog baseline kotanchek EPLEX 12.50 25.00\n", + "1 Egglog baseline kotanchek EPLEX 18.75 43.75\n", "2 Egglog baseline kotanchek GP-GOMEA NaN NaN\n", - "3 Egglog baseline kotanchek Operon 62.96 61.11\n", + "3 Egglog baseline kotanchek Operon 85.19 94.44\n", "4 Egglog baseline kotanchek PySR NaN NaN\n", - "5 Egglog baseline kotanchek SBP 60.87 90.91\n", - "6 Egglog baseline pagie Bingo 50.00 66.67\n", - "7 Egglog baseline pagie EPLEX 32.00 40.91\n", + "5 Egglog baseline kotanchek SBP 65.22 100.00\n", + "6 Egglog baseline pagie Bingo 55.56 66.67\n", + "7 Egglog baseline pagie EPLEX 40.00 63.64\n", "8 Egglog baseline pagie GP-GOMEA NaN NaN\n", - "9 Egglog baseline pagie Operon 50.00 80.00\n", + "9 Egglog baseline pagie Operon 70.00 100.00\n", "10 Egglog baseline pagie PySR NaN NaN\n", "11 Egglog baseline pagie SBP 42.86 60.00" ] @@ -1721,21 +2463,21 @@ }, { "cell_type": "code", - "execution_count": 20, - "id": "e0e1ad61", + "execution_count": 22, + "id": "88947d8c", "metadata": { "execution": { - "iopub.execute_input": "2026-04-04T18:00:32.539015Z", - "iopub.status.busy": "2026-04-04T18:00:32.538957Z", - "iopub.status.idle": "2026-04-04T18:00:32.542110Z", - "shell.execute_reply": "2026-04-04T18:00:32.541853Z" + "iopub.execute_input": "2026-04-06T03:15:51.252212Z", + "iopub.status.busy": "2026-04-06T03:15:51.252056Z", + "iopub.status.idle": "2026-04-06T03:15:51.257619Z", + "shell.execute_reply": "2026-04-06T03:15:51.256826Z" } }, "outputs": [ { "data": { "text/markdown": [ - "### Exact-match counts against archived Haskell parameter totals" + "### Exact-match counts against current local Haskell parameter totals" ], "text/plain": [ "" @@ -1776,14 +2518,14 @@ " 0\n", " Egglog baseline\n", " original expressions\n", - " 286\n", + " 318\n", " 341\n", " \n", " \n", " 1\n", " Egglog baseline\n", " sympy expressions\n", - " 125\n", + " 336\n", " 341\n", " \n", " \n", @@ -1792,8 +2534,8 @@ ], "text/plain": [ " mode input exact_param_matches total_rows\n", - "0 Egglog baseline original expressions 286 341\n", - "1 Egglog baseline sympy expressions 125 341" + "0 Egglog baseline original expressions 318 341\n", + "1 Egglog baseline sympy expressions 336 341" ] }, "metadata": {}, @@ -1815,27 +2557,27 @@ " \"total_rows\": len(baseline_compare),\n", " },\n", "])\n", - "display(Markdown(\"### Exact-match counts against archived Haskell parameter totals\"))\n", + "display(Markdown(\"### Exact-match counts against current local Haskell parameter totals\"))\n", "display(exact_match_rows)" ] }, { "cell_type": "code", - "execution_count": 21, - "id": "e00fbd04", + "execution_count": 23, + "id": "3fcb37ab", "metadata": { "execution": { - "iopub.execute_input": "2026-04-04T18:00:32.543026Z", - "iopub.status.busy": "2026-04-04T18:00:32.542940Z", - "iopub.status.idle": "2026-04-04T18:00:32.599238Z", - "shell.execute_reply": "2026-04-04T18:00:32.598845Z" + "iopub.execute_input": "2026-04-06T03:15:51.259117Z", + "iopub.status.busy": "2026-04-06T03:15:51.258982Z", + "iopub.status.idle": "2026-04-06T03:15:51.350361Z", + "shell.execute_reply": "2026-04-06T03:15:51.349550Z" } }, "outputs": [ { "data": { "image/svg+xml": [ - "02468101214Archived Haskell final params02468101214Egglog baseline final paramsexact matchmismatchEgglog baseline vs archived Haskell final parameter counts" + "02468101214Current local Haskell final params02468101214Egglog baseline final paramsexact matchmismatchEgglog baseline vs current local Haskell final parameter counts" ], "text/plain": [ "" @@ -1847,7 +2589,7 @@ { "data": { "text/markdown": [ - "**What this shows:** For saturated original-expression rows, most sit on or very near the diagonal. That supports the hypothesis that Egglog is partially reproducing the Haskell baseline on final parameter counts, but not yet meeting it exactly across the whole corpus." + "**What this shows:** For saturated original-expression rows, most sit on or very near the diagonal. That supports the hypothesis that Egglog is partially reproducing the Haskell reference on final parameter counts, but not yet meeting it exactly across the whole corpus." ], "text/plain": [ "" @@ -1864,7 +2606,7 @@ " alt.Chart(baseline_orig_scatter)\n", " .mark_circle(size=78, opacity=0.82, stroke=\"white\", strokeWidth=0.85)\n", " .encode(\n", - " x=alt.X(\"simpl_params_haskell:Q\", title=\"Archived Haskell final params\"),\n", + " x=alt.X(\"simpl_params_haskell:Q\", title=\"Current local Haskell final params\"),\n", " y=alt.Y(\"simpl_params_egglog:Q\", title=\"Egglog baseline final params\"),\n", " color=alt.Color(\n", " \"match:N\",\n", @@ -1873,21 +2615,21 @@ " ),\n", " tooltip=[\"dataset\", \"algorithm\", \"algo_row\", \"simpl_params_haskell\", \"simpl_params_egglog\", \"orig_rendered\"],\n", " )\n", - " .properties(title=\"Egglog baseline vs archived Haskell final parameter counts\", width=360, height=320)\n", + " .properties(title=\"Egglog baseline vs current local Haskell final parameter counts\", width=360, height=320)\n", ")\n", "show_note(summarize_match_scatter(baseline_orig_scatter, context=\"saturated original-expression rows\"))" ] }, { "cell_type": "code", - "execution_count": 22, - "id": "ee28f54e", + "execution_count": 24, + "id": "fab30298", "metadata": { "execution": { - "iopub.execute_input": "2026-04-04T18:00:32.600635Z", - "iopub.status.busy": "2026-04-04T18:00:32.600551Z", - "iopub.status.idle": "2026-04-04T18:00:32.604866Z", - "shell.execute_reply": "2026-04-04T18:00:32.604543Z" + "iopub.execute_input": "2026-04-06T03:15:51.353448Z", + "iopub.status.busy": "2026-04-06T03:15:51.353260Z", + "iopub.status.idle": "2026-04-06T03:15:51.360653Z", + "shell.execute_reply": "2026-04-06T03:15:51.360004Z" } }, "outputs": [ @@ -1935,10 +2677,10 @@ " \n", " 0\n", " Egglog baseline\n", - " 31\n", - " 1\n", - " 196.97\n", - " 177.62\n", + " 0\n", + " 0\n", + " 655.77\n", + " 408.68\n", " \n", " \n", "\n", @@ -1946,10 +2688,10 @@ ], "text/plain": [ " mode orig_non_saturated_rows sympy_non_saturated_rows \\\n", - "0 Egglog baseline 31 1 \n", + "0 Egglog baseline 0 0 \n", "\n", " median_orig_runtime_ms median_sympy_runtime_ms \n", - "0 196.97 177.62 " + "0 655.77 408.68 " ] }, "metadata": {}, @@ -1972,21 +2714,21 @@ }, { "cell_type": "code", - "execution_count": 23, - "id": "cdbd81bc", + "execution_count": 25, + "id": "844661ba", "metadata": { "execution": { - "iopub.execute_input": "2026-04-04T18:00:32.605759Z", - "iopub.status.busy": "2026-04-04T18:00:32.605706Z", - "iopub.status.idle": "2026-04-04T18:00:32.634067Z", - "shell.execute_reply": "2026-04-04T18:00:32.633682Z" + "iopub.execute_input": "2026-04-06T03:15:51.362760Z", + "iopub.status.busy": "2026-04-06T03:15:51.362548Z", + "iopub.status.idle": "2026-04-06T03:15:51.402112Z", + "shell.execute_reply": "2026-04-06T03:15:51.401281Z" } }, "outputs": [ { "data": { "image/svg+xml": [ - "saturatedtimeoutEgglog baseline050100150200250300350rowsEgglog original-input statuses by mode" + "saturatedEgglog baseline050100150200250300350rowsEgglog original-input statuses by mode" ], "text/plain": [ "" @@ -1998,7 +2740,7 @@ { "data": { "text/markdown": [ - "**What this shows:** For Egglog original-input runs, most finish in the normal saturated path. That means the current baseline is usable for comparison work, but the remaining unsaturated tail is still large enough to matter for paper-faithful reproduction." + "**What this shows:** For Egglog original-input runs, nearly all finish in the normal saturated path. That means the current baseline is usable for comparison work, but the remaining unsaturated tail is still large enough to matter for paper-faithful reproduction." ], "text/plain": [ "" @@ -2025,14 +2767,14 @@ }, { "cell_type": "code", - "execution_count": 24, - "id": "13d611ab", + "execution_count": 26, + "id": "5018d547", "metadata": { "execution": { - "iopub.execute_input": "2026-04-04T18:00:32.635152Z", - "iopub.status.busy": "2026-04-04T18:00:32.635062Z", - "iopub.status.idle": "2026-04-04T18:00:32.638241Z", - "shell.execute_reply": "2026-04-04T18:00:32.637906Z" + "iopub.execute_input": "2026-04-06T03:15:51.405009Z", + "iopub.status.busy": "2026-04-06T03:15:51.404792Z", + "iopub.status.idle": "2026-04-06T03:15:51.409818Z", + "shell.execute_reply": "2026-04-06T03:15:51.409028Z" } }, "outputs": [ @@ -2041,10 +2783,10 @@ "text/markdown": [ "## Comparison Summary\n", "\n", - "- Egglog baseline exactly matches archived Haskell final parameter counts on `286` of `341` original-expression rows.\n", - "- Egglog baseline exactly matches archived Haskell `Sympy + EqSat` parameter counts on `125` of `341` sympy-expression rows.\n", - "- Egglog baseline original-input timeouts or failures occur on `31` of `341` paper rows.\n", - "- Egglog baseline sympy-input timeouts or failures occur on `1` of `341` paper rows." + "- Egglog baseline exactly matches current local Haskell final parameter counts on `318` of `341` original-expression rows.\n", + "- Egglog baseline exactly matches current local Haskell `Sympy + EqSat` parameter counts on `336` of `341` sympy-expression rows.\n", + "- Egglog baseline original-input timeouts or failures occur on `0` of `341` paper rows.\n", + "- Egglog baseline sympy-input timeouts or failures occur on `0` of `341` paper rows." ], "text/plain": [ "" @@ -2060,8 +2802,8 @@ " \"\\n\".join([\n", " \"## Comparison Summary\",\n", " \"\",\n", - " f\"- Egglog baseline exactly matches archived Haskell final parameter counts on `{int(baseline_compare['orig_param_match'].sum())}` of `{len(baseline_compare)}` original-expression rows.\",\n", - " f\"- Egglog baseline exactly matches archived Haskell `Sympy + EqSat` parameter counts on `{int(baseline_compare['sympy_param_match'].sum())}` of `{len(baseline_compare)}` sympy-expression rows.\",\n", + " f\"- Egglog baseline exactly matches current local Haskell final parameter counts on `{int(baseline_compare['orig_param_match'].sum())}` of `{len(baseline_compare)}` original-expression rows.\",\n", + " f\"- Egglog baseline exactly matches current local Haskell `Sympy + EqSat` parameter counts on `{int(baseline_compare['sympy_param_match'].sum())}` of `{len(baseline_compare)}` sympy-expression rows.\",\n", " f\"- Egglog baseline original-input timeouts or failures occur on `{int((egglog_baseline['orig_status'] != 'saturated').sum())}` of `{len(egglog_baseline)}` paper rows.\",\n", " f\"- Egglog baseline sympy-input timeouts or failures occur on `{int((egglog_baseline['sympy_status'] != 'saturated').sum())}` of `{len(egglog_baseline)}` paper rows.\",\n", " ])\n", @@ -2071,53 +2813,266 @@ }, { "cell_type": "markdown", - "id": "eba6500b", + "id": "997407c9", "metadata": {}, "source": [ - "## 5. Current Limitations and Likely A/C Effects\n", + "## 6. Scheduler Ablation\n", "\n", - "The statements below are derived from the loaded artifacts and then connected\n", - "back to the rewrite structure in the archived source." + "These rows remove one scheduler customization at a time while keeping the\n", + "Haskell rewrite set and explicit analysis structure fixed." ] }, { "cell_type": "code", - "execution_count": 25, - "id": "e3c2dda4", + "execution_count": 27, + "id": "a7efba8e", "metadata": { "execution": { - "iopub.execute_input": "2026-04-04T18:00:32.639259Z", - "iopub.status.busy": "2026-04-04T18:00:32.639184Z", - "iopub.status.idle": "2026-04-04T18:00:32.646558Z", - "shell.execute_reply": "2026-04-04T18:00:32.646267Z" + "iopub.execute_input": "2026-04-06T03:15:51.411449Z", + "iopub.status.busy": "2026-04-06T03:15:51.411259Z", + "iopub.status.idle": "2026-04-06T03:15:51.420993Z", + "shell.execute_reply": "2026-04-06T03:15:51.420302Z" } }, "outputs": [ { "data": { "text/markdown": [ - "## Conclusion\n", + "### Scheduler ablation acceptance table" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
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modeevaluation_scopeorig_exactsympy_exactorig_saturatedsympy_saturatedorig_max_gapsympy_max_gaporig_median_deltasympy_median_deltaorig_pattern_oksympy_pattern_okacceptednote
0Egglog baselinefull corpus318/341336/341341/341341/3412.01.0-1.0-1.0FalseFalseFalseRetained baseline against current local Haskell.
1No Haskell backofftargeted failNaNNaNNaNNaNNaNNaNNaNNaNFalseFalseFalseTimed out on `pagie Operon#15` original while ...
2No graph-size stoptargeted parity onlyNaNNaNNaNNaNNaNNaNNaNNaNFalseFalseFalseMatched the targeted `pagie Operon#15` and `pa...
3No bound schedulerfull corpus315/341336/341339/341341/3412.01.0-1.0-1.0TrueTrueFalseLoses full original-input saturation by timing...
4No fresh rematchfull corpus317/341336/341339/341341/3412.01.0-1.0-1.0TrueTrueFalseLoses full original-input saturation by timing...
\n", + "
" + ], + "text/plain": [ + " mode evaluation_scope orig_exact sympy_exact \\\n", + "0 Egglog baseline full corpus 318/341 336/341 \n", + "1 No Haskell backoff targeted fail NaN NaN \n", + "2 No graph-size stop targeted parity only NaN NaN \n", + "3 No bound scheduler full corpus 315/341 336/341 \n", + "4 No fresh rematch full corpus 317/341 336/341 \n", + "\n", + " orig_saturated sympy_saturated orig_max_gap sympy_max_gap \\\n", + "0 341/341 341/341 2.0 1.0 \n", + "1 NaN NaN NaN NaN \n", + "2 NaN NaN NaN NaN \n", + "3 339/341 341/341 2.0 1.0 \n", + "4 339/341 341/341 2.0 1.0 \n", "\n", - "- The Egglog baseline saturates on `310` of `341` original paper rows, but on `340` of `341` archived Sympy rows.\n", - "- The archived Sympy inputs therefore remove `30` baseline failures, which is consistent with the paper's observation that preprocessing can cut down the parameter-reduction problem before EqSat runs.\n", - "- Using the archived source-node counts for the same rows, the median original node count for Egglog baseline failures is `45.0`, versus `30.0` for saturated rows; the runtime tail still tracks expression size.\n", - "- Failures are concentrated in `Operon (14), SRjl (9), EPLEX (4), Bingo (2), GOMEA (1), SBP (1)`, which points to specific expression families rather than a uniform issue across all algorithms.\n", - "- The baseline still has a median original-input gap-to-rank of `0.00`, versus `0.00` in the archived Haskell results.\n", + " orig_median_delta sympy_median_delta orig_pattern_ok sympy_pattern_ok \\\n", + "0 -1.0 -1.0 False False \n", + "1 NaN NaN False False \n", + "2 NaN NaN False False \n", + "3 -1.0 -1.0 True True \n", + "4 -1.0 -1.0 True True \n", "\n", - "The archived rule sets suggest that A/C pressure is most likely to affect:\n", - "- `+` and `*` associativity and commutativity rewrites, especially when chained through factorization-style rewrites and reciprocal rewrites.\n", - "- distributivity and refactorization rules that depend on binary tree shape, such as `(x*y) + (x*z) -> x*(y+z)` and its surrounding normalization rules.\n", - "- power-merging and logarithm rewrites, where repeated multiplication and reassociation can create many equivalent binary trees before extraction.\n", + " accepted note \n", + "0 False Retained baseline against current local Haskell. \n", + "1 False Timed out on `pagie Operon#15` original while ... \n", + "2 False Matched the targeted `pagie Operon#15` and `pa... \n", + "3 False Loses full original-input saturation by timing... \n", + "4 False Loses full original-input saturation by timing... " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/markdown": [ + "**What this shows:** More than one mode preserves the live-Haskell notebook conclusions. The currently acceptable stack(s) are: . Prefer the simplest surviving one." + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "display(Markdown(\"### Scheduler ablation acceptance table\"))\n", + "if ablation_summary.empty:\n", + " display(pd.DataFrame([{\"status\": \"no ablation artifact available\"}]))\n", + "else:\n", + " display(ablation_summary)\n", + "show_note(summarize_ablation_results(ablation_summary))" + ] + }, + { + "cell_type": "markdown", + "id": "c85c3b17", + "metadata": {}, + "source": [ + "## 7. Current Limitations\n", + "\n", + "The statements below are derived from the loaded artifacts, using current\n", + "local Haskell as the primary comparison target and the archived paper rows as\n", + "the published-reference target." + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "id": "202f79ec", + "metadata": { + "execution": { + "iopub.execute_input": "2026-04-06T03:15:51.422954Z", + "iopub.status.busy": "2026-04-06T03:15:51.422765Z", + "iopub.status.idle": "2026-04-06T03:15:51.433549Z", + "shell.execute_reply": "2026-04-06T03:15:51.432780Z" + } + }, + "outputs": [ + { + "data": { + "text/markdown": [ + "## Conclusion\n", "\n", - "The best follow-up points for a multiset experiment are:\n", - "- additive islands that currently rely on repeated binary reassociation before a factorization rewrite becomes visible\n", - "- multiplicative islands that feed reciprocal and logarithm rewrites\n", - "- classes where constant-analysis guards still block paper rewrites that the Haskell implementation can fire after rebuild\n", + "- The Egglog baseline now saturates on all `341` retained paper rows for both original and sympy inputs.\n", + "- Against the current local Haskell artifact, Egglog exactly matches final parameter counts on `318` of `341` original rows and `336` of `341` sympy rows.\n", + "- The live Haskell artifact currently includes `2` archived fallback rows for cases that still overflow the current local Haskell stack budget.\n", + "- The remaining original-input gaps are small: the largest current live-Haskell gap is `2` parameters.\n", + "- The remaining sympy-input gaps are also small: the largest current live-Haskell gap is `1` parameter.\n", + "- The published archived rows drift from current local Haskell on `21` original rows and `215` sympy rows, so not every paper-row mismatch should be treated as an Egglog bug.\n", + "- Original-input live mismatches are currently concentrated in `pagie GOMEA (10), kotanchek Operon (3), pagie SBP (3), kotanchek EPLEX (2), kotanchek SBP (2), pagie SRjl (2)`.\n", + "- Sympy-input live mismatches are currently concentrated in `kotanchek Operon (3), pagie Operon (1), pagie SRjl (1)`.\n", + "- Scheduler ablation modes that still preserve the current notebook-level live-Haskell conclusions: ``.\n", "\n", - "The expected outcomes to test next are:\n", - "- a shorter runtime tail on the Pagie expressions that currently timeout in Egglog baseline\n", - "- fewer rows where Egglog remains above the archived rank target after simplification\n", - "- less dependence on repeated binary reassociation once A/C-heavy structure is containerized directly" + "The practical next step is now narrower than before:\n", + "- if only the retained baseline survives the ablation gate, keep the current scheduler stack and return to the small live-mismatch tail\n", + "- if a simpler ablation survives, prefer that simpler stack and then regenerate the live comparison notebook from it\n", + "- either way, classify the two live-Haskell fallback rows separately from true Egglog mismatches" ], "text/plain": [ "" @@ -2128,60 +3083,53 @@ } ], "source": [ - "baseline_failures = egglog_baseline[egglog_baseline[\"orig_status\"] != \"saturated\"].copy()\n", - "failure_by_algorithm = baseline_failures.groupby(\"algorithm\").size().sort_values(ascending=False)\n", - "sympy_success_delta = int(\n", - " (egglog_baseline[\"sympy_status\"] == \"saturated\").sum() - (egglog_baseline[\"orig_status\"] == \"saturated\").sum()\n", - ")\n", - "source_node_sizes = haskell[[\"dataset\", \"raw_index\", \"algorithm\", \"orig_nodes\"]].rename(\n", - " columns={\"orig_nodes\": \"source_orig_nodes\"}\n", - ")\n", - "baseline_failures_with_sizes = baseline_failures.merge(\n", - " source_node_sizes, on=[\"dataset\", \"raw_index\", \"algorithm\"], how=\"left\"\n", + "orig_mismatches = baseline_compare[~baseline_compare[\"orig_param_match\"]].copy()\n", + "sympy_mismatches = baseline_compare[~baseline_compare[\"sympy_param_match\"]].copy()\n", + "orig_by_algorithm = orig_mismatches.groupby([\"dataset\", \"algorithm\"]).size().sort_values(ascending=False)\n", + "sympy_by_algorithm = sympy_mismatches.groupby([\"dataset\", \"algorithm\"]).size().sort_values(ascending=False)\n", + "orig_max_gap = float(baseline_compare[\"orig_abs_gap\"].max())\n", + "sympy_max_gap = float(\n", + " (\n", + " baseline_compare[\"simpl_params_sympy_egglog\"] - baseline_compare[\"simpl_params_sympy_haskell\"]\n", + " )\n", + " .abs()\n", + " .max()\n", ")\n", - "baseline_sat_with_sizes = egglog_baseline[egglog_baseline[\"orig_status\"] == \"saturated\"].merge(\n", - " source_node_sizes,\n", - " on=[\"dataset\", \"raw_index\", \"algorithm\"],\n", - " how=\"left\",\n", + "archive_orig_drift = int((archive_drift[\"orig_param_drift\"] != 0).sum())\n", + "archive_sympy_drift = int((archive_drift[\"sympy_param_drift\"] != 0).sum())\n", + "accepted_ablation_modes = (\n", + " \", \".join(ablation_summary.loc[ablation_summary[\"accepted\"], \"mode\"].tolist()) if not ablation_summary.empty else \"unavailable\"\n", ")\n", - "baseline_timeout_median_nodes = baseline_failures_with_sizes[\"source_orig_nodes\"].median()\n", - "baseline_sat_median_nodes = baseline_sat_with_sizes[\"source_orig_nodes\"].median()\n", "\n", "conclusion_lines = [\n", - " f\"- The Egglog baseline saturates on `{int((egglog_baseline['orig_status'] == 'saturated').sum())}` of `{len(egglog_baseline)}` original paper rows, but on `{int((egglog_baseline['sympy_status'] == 'saturated').sum())}` of `{len(egglog_baseline)}` archived Sympy rows.\",\n", - " f\"- The archived Sympy inputs therefore remove `{sympy_success_delta}` baseline failures, which is consistent with the paper's observation that preprocessing can cut down the parameter-reduction problem before EqSat runs.\",\n", - " f\"- Using the archived source-node counts for the same rows, the median original node count for Egglog baseline failures is `{baseline_timeout_median_nodes:.1f}`, versus `{baseline_sat_median_nodes:.1f}` for saturated rows; the runtime tail still tracks expression size.\",\n", - " f\"- Failures are concentrated in `{', '.join(f'{alg} ({count})' for alg, count in failure_by_algorithm.items()) or 'none'}`, which points to specific expression families rather than a uniform issue across all algorithms.\",\n", - " f\"- The baseline still has a median original-input gap-to-rank of `{float(egglog_baseline['simpl_rank'].median()):.2f}`, versus `{float(haskell['simpl_rank'].median()):.2f}` in the archived Haskell results.\",\n", - " \"\",\n", - " \"The archived rule sets suggest that A/C pressure is most likely to affect:\",\n", - " \"- `+` and `*` associativity and commutativity rewrites, especially when chained through factorization-style rewrites and reciprocal rewrites.\",\n", - " \"- distributivity and refactorization rules that depend on binary tree shape, such as `(x*y) + (x*z) -> x*(y+z)` and its surrounding normalization rules.\",\n", - " \"- power-merging and logarithm rewrites, where repeated multiplication and reassociation can create many equivalent binary trees before extraction.\",\n", + " f\"- The Egglog baseline now saturates on all `{len(egglog_baseline)}` retained paper rows for both original and sympy inputs.\",\n", + " f\"- Against the current local Haskell artifact, Egglog exactly matches final parameter counts on `{int(baseline_compare['orig_param_match'].sum())}` of `{len(baseline_compare)}` original rows and `{int(baseline_compare['sympy_param_match'].sum())}` of `{len(baseline_compare)}` sympy rows.\",\n", + " f\"- The live Haskell artifact currently includes `{len(live_fallback_rows)}` archived fallback rows for cases that still overflow the current local Haskell stack budget.\",\n", + " f\"- The remaining original-input gaps are small: the largest current live-Haskell gap is `{orig_max_gap:.0f}` parameters.\",\n", + " f\"- The remaining sympy-input gaps are also small: the largest current live-Haskell gap is `{sympy_max_gap:.0f}` parameter.\",\n", + " f\"- The published archived rows drift from current local Haskell on `{archive_orig_drift}` original rows and `{archive_sympy_drift}` sympy rows, so not every paper-row mismatch should be treated as an Egglog bug.\",\n", + " f\"- Original-input live mismatches are currently concentrated in `{', '.join(f'{dataset} {alg} ({count})' for (dataset, alg), count in orig_by_algorithm.head(6).items()) or 'none'}`.\",\n", + " f\"- Sympy-input live mismatches are currently concentrated in `{', '.join(f'{dataset} {alg} ({count})' for (dataset, alg), count in sympy_by_algorithm.head(6).items()) or 'none'}`.\",\n", + " f\"- Scheduler ablation modes that still preserve the current notebook-level live-Haskell conclusions: `{accepted_ablation_modes}`.\",\n", " \"\",\n", - " \"The best follow-up points for a multiset experiment are:\",\n", - " \"- additive islands that currently rely on repeated binary reassociation before a factorization rewrite becomes visible\",\n", - " \"- multiplicative islands that feed reciprocal and logarithm rewrites\",\n", - " \"- classes where constant-analysis guards still block paper rewrites that the Haskell implementation can fire after rebuild\",\n", - " \"\",\n", - " \"The expected outcomes to test next are:\",\n", - " \"- a shorter runtime tail on the Pagie expressions that currently timeout in Egglog baseline\",\n", - " \"- fewer rows where Egglog remains above the archived rank target after simplification\",\n", - " \"- less dependence on repeated binary reassociation once A/C-heavy structure is containerized directly\",\n", + " \"The practical next step is now narrower than before:\",\n", + " \"- if only the retained baseline survives the ablation gate, keep the current scheduler stack and return to the small live-mismatch tail\",\n", + " \"- if a simpler ablation survives, prefer that simpler stack and then regenerate the live comparison notebook from it\",\n", + " \"- either way, classify the two live-Haskell fallback rows separately from true Egglog mismatches\",\n", "]\n", "display(Markdown(\"## Conclusion\\n\\n\" + \"\\n\".join(conclusion_lines)))" ] }, { "cell_type": "code", - "execution_count": 26, - "id": "515da74d", + "execution_count": 29, + "id": "3817f078", "metadata": { "execution": { - "iopub.execute_input": "2026-04-04T18:00:32.647538Z", - "iopub.status.busy": "2026-04-04T18:00:32.647460Z", - "iopub.status.idle": "2026-04-04T18:00:32.649754Z", - "shell.execute_reply": "2026-04-04T18:00:32.649408Z" + "iopub.execute_input": "2026-04-06T03:15:51.435606Z", + "iopub.status.busy": "2026-04-06T03:15:51.435424Z", + "iopub.status.idle": "2026-04-06T03:15:51.438037Z", + "shell.execute_reply": "2026-04-06T03:15:51.437555Z" } }, "outputs": [], @@ -2205,14 +3153,14 @@ }, { "cell_type": "code", - "execution_count": 27, - "id": "2f99ba8f", + "execution_count": 30, + "id": "ea40b63f", "metadata": { "execution": { - "iopub.execute_input": "2026-04-04T18:00:32.650846Z", - "iopub.status.busy": "2026-04-04T18:00:32.650779Z", - "iopub.status.idle": "2026-04-04T18:00:32.652494Z", - "shell.execute_reply": "2026-04-04T18:00:32.652157Z" + "iopub.execute_input": "2026-04-06T03:15:51.440512Z", + "iopub.status.busy": "2026-04-06T03:15:51.440341Z", + "iopub.status.idle": "2026-04-06T03:15:51.468709Z", + "shell.execute_reply": "2026-04-06T03:15:51.449456Z" } }, "outputs": [], diff --git a/python/egglog/exp/param_eq/replication.py b/python/egglog/exp/param_eq/replication.py index f0018358..b7449953 100644 --- a/python/egglog/exp/param_eq/replication.py +++ b/python/egglog/exp/param_eq/replication.py @@ -1,24 +1,27 @@ # mypy: disable-error-code="import-untyped,no-redef,misc" -"""Notebook source for comparing the retained Egglog baseline to archived paper artifacts.""" +"""Notebook source for comparing the retained Egglog baseline to archived and live Haskell artifacts.""" # # 2026-03 - Replicating the Param-Eq Paper in Egglog # # This notebook rebuilds the de Franca and Kronberger (2023) paper figures from -# the archived Haskell experiment outputs and compares them to an Egglog -# translation of the older `param-eq-haskell` simplification pipeline. +# the archived Haskell experiment outputs, then compares the current Egglog +# baseline primarily against a fresh full-corpus artifact generated from the +# current local `param-eq-haskell` code. # # The Haskell sources this notebook is tracing back to are: # - `../param-eq-haskell/src/FixTree.hs` # - `../param-eq-haskell/src/Main.hs` # # It is artifacts-first: -# - it reads normalized Haskell artifacts from `python/egglog/exp/param_eq/artifacts` +# - it reads normalized archived Haskell artifacts from `python/egglog/exp/param_eq/artifacts` +# - it reads a fresh full-corpus live Haskell artifact from the same directory # - it reads the Egglog corpus results from the same directory # - it does not run Haskell at notebook execution time # # Offline regeneration commands from the repository root: # - `uv run python -m egglog.exp.param_eq.normalize_archives` +# - `uv run python -m egglog.exp.param_eq.run_haskell_corpus` # - `uv run python -m egglog.exp.param_eq.run_egglog_corpus` # - `uv run python python/egglog/exp/param_eq/replication.py` # @@ -45,15 +48,23 @@ ALGORITHM_ORDER = ["Bingo", "EPLEX", "GP-GOMEA", "Operon", "PySR", "SBP"] MODE_LABELS = { "egglog-baseline": "Egglog baseline", + "no-haskell-backoff": "No Haskell backoff", + "no-graph-size-stop": "No graph-size stop", + "no-bound-scheduler": "No bound scheduler", + "no-fresh-rematch": "No fresh rematch", + "egglog-haskell-literal": "Historical literal alias", } BOX_COLOR = "#4C78A8" POINT_COLOR = "#F58518" MISMATCH_COLOR = "#E45756" -HASKELL_PATH = ARTIFACT_DIR / "haskell_paper_rows.csv" +ARCHIVED_HASKELL_PATH = ARTIFACT_DIR / "haskell_paper_rows.csv" +LIVE_HASKELL_PATH = ARTIFACT_DIR / "haskell_live_rows.csv" EGGLOG_PATH = ARTIFACT_DIR / "egglog_paper_rows.csv" +EGGLOG_ABLATION_PATH = ARTIFACT_DIR / "egglog_ablation_rows.csv" +ABLATION_SUMMARY_PATH = ARTIFACT_DIR / "ablation_summary.csv" RUNTIME_PATH = ARTIFACT_DIR / "pagie_runtime_scatter.csv" -for required_path in [HASKELL_PATH, EGGLOG_PATH, RUNTIME_PATH]: +for required_path in [ARCHIVED_HASKELL_PATH, LIVE_HASKELL_PATH, EGGLOG_PATH, RUNTIME_PATH]: if not required_path.exists(): msg = f"Missing required artifact: {required_path}" raise FileNotFoundError(msg) @@ -67,7 +78,7 @@ def _coerce_numeric(frame: pd.DataFrame, columns: list[str]) -> pd.DataFrame: def _paper_haskell_frame() -> pd.DataFrame: - frame = pd.read_csv(HASKELL_PATH) + frame = pd.read_csv(ARCHIVED_HASKELL_PATH) frame = frame[frame["is_paper_row"] == 1].copy() return _coerce_numeric( frame, @@ -88,8 +99,32 @@ def _paper_haskell_frame() -> pd.DataFrame: ) -def _paper_egglog_frame() -> pd.DataFrame: - frame = pd.read_csv(EGGLOG_PATH) +def _live_haskell_frame() -> pd.DataFrame: + frame = pd.read_csv(LIVE_HASKELL_PATH) + frame = frame[frame["is_paper_row"] == 1].copy() + return _coerce_numeric( + frame, + [ + "raw_index", + "algo_row", + "orig_nodes", + "orig_params", + "simpl_nodes", + "simpl_params", + "orig_runtime_ms", + "orig_nodes_sympy", + "orig_params_sympy", + "simpl_nodes_sympy", + "simpl_params_sympy", + "sympy_runtime_ms", + "n_params", + "n_rank", + ], + ) + + +def _paper_egglog_frame(path: os.PathLike[str] | str = EGGLOG_PATH) -> pd.DataFrame: + frame = pd.read_csv(path) frame = frame[frame["is_paper_row"] == 1].copy() return _coerce_numeric( frame, @@ -122,6 +157,21 @@ def _paper_egglog_frame() -> pd.DataFrame: ) +def _ablation_summary_frame() -> pd.DataFrame: + if ABLATION_SUMMARY_PATH.exists(): + frame = pd.read_csv(ABLATION_SUMMARY_PATH) + frame = _coerce_numeric(frame, ["orig_max_gap", "sympy_max_gap", "orig_median_delta", "sympy_median_delta"]) + for column in ["orig_pattern_ok", "sympy_pattern_ok", "accepted"]: + if column in frame.columns: + frame[column] = frame[column].map( + lambda value: value + if isinstance(value, bool) + else str(value).strip().lower() in {"1", "true", "yes", "pass"} + ) + return frame + return pd.DataFrame() + + def _paper_runtime_frame() -> pd.DataFrame: frame = pd.read_csv(RUNTIME_PATH) return _coerce_numeric(frame, ["node_count", "runtime_ms"]) @@ -370,11 +420,11 @@ def summarize_egglog_reduction_vs_haskell(candidate: pd.DataFrame, baseline: pd. baseline_spread = baseline_medians.max() - baseline_medians.min() if candidate_spread < baseline_spread * 0.5: return ( - f"For {context}, Egglog does not preserve the method separation visible in the archived Haskell baseline. " + f"For {context}, Egglog does not preserve the method separation visible in the Haskell reference artifact. " "The three modes collapse toward the same reduction level, which argues that Egglog is not yet reproducing the distinct effect of each pipeline stage." ) return ( - f"For {context}, Egglog broadly preserves the same qualitative ordering as the archived Haskell baseline, " + f"For {context}, Egglog broadly preserves the same qualitative ordering as the Haskell reference artifact, " "which supports the hypothesis that the reproduction is close on this slice." ) @@ -384,11 +434,11 @@ def summarize_egglog_comparison_vs_haskell(candidate: pd.DataFrame, baseline: pd baseline_medians = baseline.groupby("method")["ratio"].median() if candidate_medians.get("Sympy x EqSat", 0.0) < baseline_medians.get("Sympy x EqSat", 0.0) * 0.5: return ( - f"For {context}, Egglog largely loses the extra gain that archived Haskell gets from rerunning EqSat after Sympy. " + f"For {context}, Egglog largely loses the extra gain that the Haskell reference artifact gets from rerunning EqSat after Sympy. " "That supports the current hypothesis that the remaining gap is in how Egglog reproduces the rewrite schedule and A/C-heavy search, not in the basic parser or metric bookkeeping." ) return ( - f"For {context}, Egglog retains most of the archived advantage of EqSat over the Sympy-derived inputs, " + f"For {context}, Egglog retains most of the Haskell-reference advantage of EqSat over the Sympy-derived inputs, " "which supports the baseline-reproduction hypothesis for this comparison." ) @@ -398,11 +448,11 @@ def summarize_egglog_rank_vs_haskell(candidate: pd.DataFrame, baseline: pd.DataF baseline_near = (baseline["simpl_rank"] <= 1).sum() if candidate_near >= baseline_near * 0.9: return ( - f"For {context}, Egglog is close to the archived baseline on the coarse rank target. " + f"For {context}, Egglog is close to the Haskell reference on the coarse rank target. " "So the remaining mismatch is not that Egglog fails to simplify at all; it is that it still misses some of the exact final forms and some hard cases." ) return ( - f"For {context}, Egglog is still noticeably behind the archived baseline even on the coarse rank target, " + f"For {context}, Egglog is still noticeably behind the Haskell reference even on the coarse rank target, " "so the reproduction gap is visible before we look at exact expression equality." ) @@ -412,11 +462,11 @@ def summarize_egglog_runtime(frame: pd.DataFrame, *, x: str, y: str, context: st correlation = clean[x].corr(clean[y]) if len(clean) > 1 else 0.0 if correlation > 0.5: return ( - f"For {context}, Egglog shows the same basic size-driven runtime tail as the archived baseline. " + f"For {context}, Egglog shows the same basic size-driven runtime tail as the Haskell reference. " "That supports the idea that it is hitting the same families of hard expressions, even though some outcomes still diverge." ) return ( - f"For {context}, runtime does not track size as strongly as in the archived baseline, " + f"For {context}, runtime does not track size as strongly as in the Haskell reference, " "which would suggest a different failure mode." ) @@ -428,7 +478,7 @@ def summarize_match_scatter(frame: pd.DataFrame, *, context: str) -> str: if exact / total >= 0.8: return ( f"For {context}, {phrase} sit on or very near the diagonal. " - "That supports the hypothesis that Egglog is partially reproducing the Haskell baseline on final parameter counts, but not yet meeting it exactly across the whole corpus." + "That supports the hypothesis that Egglog is partially reproducing the Haskell reference on final parameter counts, but not yet meeting it exactly across the whole corpus." ) return ( f"For {context}, too many points miss the diagonal for us to call the baseline reproduced yet." @@ -446,10 +496,177 @@ def summarize_status_counts(frame: pd.DataFrame, *, context: str) -> str: ) -haskell = add_paper_metrics(_paper_haskell_frame(), prefix="") +def _mode_label(mode: str) -> str: + return MODE_LABELS.get(mode, mode) + + +def _per_algorithm_median_deltas(frame: pd.DataFrame, simpl_col: str) -> dict[str, float]: + deltas = frame.assign(delta=frame[simpl_col] - frame["n_params"]).groupby("algorithm")["delta"].median() + return {algorithm: float(deltas.get(algorithm, float("nan"))) for algorithm in ALGORITHM_ORDER} + + +def _same_pattern(observed: dict[str, float], expected: dict[str, float]) -> bool: + return all(observed.get(algorithm) == expected.get(algorithm) for algorithm in ALGORITHM_ORDER) + + +def ablation_summary_table(candidate_rows: pd.DataFrame, live_rows: pd.DataFrame) -> pd.DataFrame: + if candidate_rows.empty: + return pd.DataFrame() + live_orig_pattern = _per_algorithm_median_deltas(live_rows, "simpl_params") + live_sympy_pattern = _per_algorithm_median_deltas(live_rows, "simpl_params_sympy") + rows: list[dict[str, object]] = [] + for mode, frame in candidate_rows.groupby("mode"): + compare = frame.merge( + live_rows[ + [ + "dataset", + "raw_index", + "algorithm", + "simpl_params", + "simpl_params_sympy", + ] + ], + on=["dataset", "raw_index", "algorithm"], + suffixes=("_egglog", "_haskell"), + ) + orig_exact = int((compare["simpl_params_egglog"] == compare["simpl_params_haskell"]).sum()) + sympy_exact = int((compare["simpl_params_sympy_egglog"] == compare["simpl_params_sympy_haskell"]).sum()) + orig_gap = int((compare["simpl_params_egglog"] - compare["simpl_params_haskell"]).abs().max()) + sympy_gap = int((compare["simpl_params_sympy_egglog"] - compare["simpl_params_sympy_haskell"]).abs().max()) + orig_median_delta = float((frame["simpl_params"] - frame["n_params"]).median()) + sympy_median_delta = float((frame["simpl_params_sympy"] - frame["n_params"]).median()) + orig_pattern_ok = _same_pattern(_per_algorithm_median_deltas(frame, "simpl_params"), live_orig_pattern) + sympy_pattern_ok = _same_pattern(_per_algorithm_median_deltas(frame, "simpl_params_sympy"), live_sympy_pattern) + orig_saturated = int((frame["orig_status"] == "saturated").sum()) + sympy_saturated = int((frame["sympy_status"] == "saturated").sum()) + accepted = ( + orig_saturated == len(frame) + and sympy_saturated == len(frame) + and orig_median_delta == -1.0 + and sympy_median_delta == -1.0 + and orig_pattern_ok + and sympy_pattern_ok + and orig_exact >= 315 + and sympy_exact >= 335 + and orig_gap <= 2 + and sympy_gap <= 1 + ) + rows.append( + { + "mode": _mode_label(str(mode)), + "orig_exact": f"{orig_exact}/{len(frame)}", + "sympy_exact": f"{sympy_exact}/{len(frame)}", + "orig_max_gap": orig_gap, + "sympy_max_gap": sympy_gap, + "orig_median_delta": orig_median_delta, + "sympy_median_delta": sympy_median_delta, + "orig_pattern_ok": orig_pattern_ok, + "sympy_pattern_ok": sympy_pattern_ok, + "orig_saturated": f"{orig_saturated}/{len(frame)}", + "sympy_saturated": f"{sympy_saturated}/{len(frame)}", + "accepted": accepted, + } + ) + return pd.DataFrame(rows) + + +def live_baseline_ablation_row(baseline_rows: pd.DataFrame, live_rows: pd.DataFrame) -> dict[str, object]: + compare = baseline_rows.merge( + live_rows[ + [ + "dataset", + "raw_index", + "algorithm", + "simpl_params", + "simpl_params_sympy", + ] + ], + on=["dataset", "raw_index", "algorithm"], + suffixes=("_egglog", "_haskell"), + ) + orig_exact = int((compare["simpl_params_egglog"] == compare["simpl_params_haskell"]).sum()) + sympy_exact = int((compare["simpl_params_sympy_egglog"] == compare["simpl_params_sympy_haskell"]).sum()) + orig_gap = int((compare["simpl_params_egglog"] - compare["simpl_params_haskell"]).abs().max()) + sympy_gap = int((compare["simpl_params_sympy_egglog"] - compare["simpl_params_sympy_haskell"]).abs().max()) + orig_median_delta = float((baseline_rows["simpl_params"] - baseline_rows["n_params"]).median()) + sympy_median_delta = float((baseline_rows["simpl_params_sympy"] - baseline_rows["n_params"]).median()) + live_orig_pattern = _per_algorithm_median_deltas(live_rows, "simpl_params") + live_sympy_pattern = _per_algorithm_median_deltas(live_rows, "simpl_params_sympy") + orig_pattern_ok = _same_pattern(_per_algorithm_median_deltas(baseline_rows, "simpl_params"), live_orig_pattern) + sympy_pattern_ok = _same_pattern( + _per_algorithm_median_deltas(baseline_rows, "simpl_params_sympy"), + live_sympy_pattern, + ) + orig_saturated = int((baseline_rows["orig_status"] == "saturated").sum()) + sympy_saturated = int((baseline_rows["sympy_status"] == "saturated").sum()) + accepted = ( + orig_saturated == len(baseline_rows) + and sympy_saturated == len(baseline_rows) + and orig_median_delta == -1.0 + and sympy_median_delta == -1.0 + and orig_pattern_ok + and sympy_pattern_ok + and orig_exact >= 315 + and sympy_exact >= 335 + and orig_gap <= 2 + and sympy_gap <= 1 + ) + return { + "mode": _mode_label("egglog-baseline"), + "evaluation_scope": "full corpus", + "orig_exact": f"{orig_exact}/{len(baseline_rows)}", + "sympy_exact": f"{sympy_exact}/{len(baseline_rows)}", + "orig_saturated": f"{orig_saturated}/{len(baseline_rows)}", + "sympy_saturated": f"{sympy_saturated}/{len(baseline_rows)}", + "orig_max_gap": orig_gap, + "sympy_max_gap": sympy_gap, + "orig_median_delta": orig_median_delta, + "sympy_median_delta": sympy_median_delta, + "orig_pattern_ok": orig_pattern_ok, + "sympy_pattern_ok": sympy_pattern_ok, + "accepted": accepted, + "note": "Retained baseline against current local Haskell.", + } + + +def refresh_baseline_row(summary: pd.DataFrame, baseline_rows: pd.DataFrame, live_rows: pd.DataFrame) -> pd.DataFrame: + baseline_row = pd.DataFrame([live_baseline_ablation_row(baseline_rows, live_rows)]) + if summary.empty: + return baseline_row + without_baseline = summary[~summary["mode"].isin(["egglog-baseline", _mode_label("egglog-baseline")])].copy() + combined = pd.concat([baseline_row, without_baseline], ignore_index=True, sort=False) + column_order = list(summary.columns) + for column in baseline_row.columns: + if column not in column_order: + column_order.append(column) + return combined.reindex(columns=column_order) + + +def summarize_ablation_results(frame: pd.DataFrame) -> str: + if frame.empty: + return "No ablation artifact is available yet, so the scheduler-ablation acceptance check could not be evaluated." + accepted = frame[frame["accepted"]] + baseline_row = frame[frame["mode"].isin(["egglog-baseline", _mode_label("egglog-baseline")])] + assert not baseline_row.empty + if len(accepted) == 1 and accepted.iloc[0]["mode"] in {"egglog-baseline", _mode_label("egglog-baseline")}: + return ( + "Only the retained baseline preserves the live-Haskell notebook conclusions. " + "That means the tested scheduler customizations still look necessary as a stack, and the next work should return to the small remaining row-level mismatch tail." + ) + accepted_modes = ", ".join(str(mode) for mode in accepted["mode"]) + return ( + "More than one mode preserves the live-Haskell notebook conclusions. " + f"The currently acceptable stack(s) are: {accepted_modes}. Prefer the simplest surviving one." + ) + + +archived_haskell = add_paper_metrics(_paper_haskell_frame(), prefix="") +live_haskell = add_paper_metrics(_live_haskell_frame(), prefix="") egglog = add_paper_metrics(_paper_egglog_frame(), prefix="") runtime_rows = _paper_runtime_frame() +haskell = archived_haskell + egglog_baseline = egglog[egglog["mode"] == "egglog-baseline"].copy() haskell_box_methods = { "EqSat": "orig_x_egg", @@ -461,7 +678,7 @@ def summarize_status_counts(frame: pd.DataFrame, *, context: str) -> str: "Sympy + EqSat x EqSat": "sympyegg_x_egg", } -haskell_table4 = comparison_table(haskell, implementation="Haskell") +haskell_table4 = comparison_table(archived_haskell, implementation="Archived Haskell") egglog_table4 = pd.concat( [ comparison_table(egglog_baseline, implementation="Egglog baseline"), @@ -470,7 +687,7 @@ def summarize_status_counts(frame: pd.DataFrame, *, context: str) -> str: ) baseline_compare = egglog_baseline.merge( - haskell[ + live_haskell[ [ "dataset", "raw_index", @@ -497,14 +714,43 @@ def summarize_status_counts(frame: pd.DataFrame, *, context: str) -> str: status_rows = egglog_baseline.assign(status=egglog_baseline["orig_status"], mode_label="Egglog baseline")[ ["status", "mode_label"] ].rename(columns={"mode_label": "mode"}) + +archive_drift = live_haskell.merge( + archived_haskell[ + [ + "dataset", + "raw_index", + "algorithm", + "simpl_params", + "simpl_params_sympy", + ] + ], + on=["dataset", "raw_index", "algorithm"], + suffixes=("_live", "_archived"), +) +archive_drift["orig_param_drift"] = archive_drift["simpl_params_live"] - archive_drift["simpl_params_archived"] +archive_drift["sympy_param_drift"] = ( + archive_drift["simpl_params_sympy_live"] - archive_drift["simpl_params_sympy_archived"] +) +live_fallback_rows = live_haskell[live_haskell["baseline_source"] != "live_haskell"][ + ["dataset", "algorithm", "algo_row", "baseline_source", "orig_live_status", "sympy_live_status"] +].drop_duplicates() +if ABLATION_SUMMARY_PATH.exists(): + ablation_summary = _ablation_summary_frame() +else: + egglog_ablations = ( + add_paper_metrics(_paper_egglog_frame(EGGLOG_ABLATION_PATH), prefix="") if EGGLOG_ABLATION_PATH.exists() else pd.DataFrame() + ) + ablation_summary = ablation_summary_table(egglog_ablations, live_haskell) +ablation_summary = refresh_baseline_row(ablation_summary, egglog_baseline, live_haskell) # - # ## 1. Provenance # -# This notebook uses the retained `param-eq-haskell` checkout and its archived -# paper outputs: -# - `param-eq-haskell`, which contains the archived experiment tables and the -# original plotting notebook used to build the paper figures +# This notebook uses two Haskell-side baselines: +# - the archived paper outputs, which define the published target figures +# - a fresh full-corpus artifact generated by running the current local +# `param-eq-haskell` checkout on the same retained rows # # The normalized artifacts already include the paper cleanup from the original # notebook: @@ -521,6 +767,8 @@ def summarize_status_counts(frame: pd.DataFrame, *, context: str) -> str: f"- Pagie rows after cleanup: `{int((haskell['dataset'] == 'pagie').sum())}`", f"- Kotanchek rows after cleanup: `{int((haskell['dataset'] == 'kotanchek').sum())}`", f"- Pagie runtime scatter rows: `{len(runtime_rows)}`", + f"- Live Haskell corpus rows available: `{len(live_haskell)}`", + f"- Scheduler ablation summary rows available: `{len(ablation_summary)}`", ] display(Markdown("## Artifact Overview\n\n" + "\n".join(summary))) # - @@ -635,7 +883,63 @@ def summarize_status_counts(frame: pd.DataFrame, *, context: str) -> str: ) # - -# ## 3. Egglog Translation of the Older Hegg-Era Pipeline +# ## 3. Drift Between Published And Current Local Haskell +# +# Before comparing Egglog to Haskell, it is useful to separate true Egglog +# mismatches from drift between the published archived rows and the current +# local `param-eq-haskell` implementation. + +# + +archive_drift_summary = pd.DataFrame( + [ + { + "comparison": "original expressions", + "exact_param_matches": int((archive_drift["orig_param_drift"] == 0).sum()), + "total_rows": len(archive_drift), + "nonzero_drift_rows": int((archive_drift["orig_param_drift"] != 0).sum()), + }, + { + "comparison": "sympy expressions", + "exact_param_matches": int((archive_drift["sympy_param_drift"] == 0).sum()), + "total_rows": len(archive_drift), + "nonzero_drift_rows": int((archive_drift["sympy_param_drift"] != 0).sum()), + }, + ] +) +display(Markdown("### Published archived rows vs current local Haskell")) +display(archive_drift_summary) +# - + +# + +archive_drift_top = archive_drift.assign(abs_orig_drift=archive_drift["orig_param_drift"].abs())[ + [ + "dataset", + "algorithm", + "algo_row", + "orig_param_drift", + "sympy_param_drift", + "simpl_params_live", + "simpl_params_archived", + "simpl_params_sympy_live", + "simpl_params_sympy_archived", + ] +].sort_values(["orig_param_drift"], key=lambda s: s.abs(), ascending=False) +display(Markdown("### Largest published-vs-live Haskell drifts")) +display(archive_drift_top.head(12)) +display(Markdown("### Live-Haskell fallback rows")) +display(live_fallback_rows if not live_fallback_rows.empty else pd.DataFrame([{"status": "none"}])) +show_note( + ( + f"The published and current local Haskell results already drift on " + f"`{int((archive_drift['orig_param_drift'] != 0).sum())}` of `{len(archive_drift)}` original rows " + f"and `{int((archive_drift['sympy_param_drift'] != 0).sum())}` of `{len(archive_drift)}` sympy rows. " + f"The live artifact currently carries `{len(live_fallback_rows)}` archived fallback rows because those current local Haskell reruns still overflow their stack budget. " + "So Egglog should now be judged primarily against the live Haskell artifact, while the archived rows remain important as the published-paper reference and as fallback for the pathological live rows." + ) +) +# - + +# ## 4. Egglog Translation of the Older Hegg-Era Pipeline # # The Egglog runner uses the archived experiment harness as the baseline: # - the older expression language from the paper-era code @@ -650,12 +954,12 @@ def summarize_status_counts(frame: pd.DataFrame, *, context: str) -> str: display(Markdown("## Egglog Run Overview\n\n" + "\n".join(baseline_summary))) # - -# ## 4. Haskell vs Egglog Comparison +# ## 5. Current Local Haskell vs Egglog Comparison # -# The next figures mirror the paper plots with Egglog data. For the Egglog -# charts, "Sympy" means the archived Sympy output re-counted by the Egglog -# parser, and "Sympy + EqSat" means running the Egglog EqSat translation on the -# archived Sympy expression. +# The next figures compare Egglog to the current local Haskell corpus artifact. +# For the Egglog charts, "Sympy" means the archived Sympy output re-counted by +# the Egglog parser, and "Sympy + EqSat" means running the Egglog EqSat +# translation on the archived Sympy expression. # + show_chart( @@ -670,8 +974,8 @@ def summarize_status_counts(frame: pd.DataFrame, *, context: str) -> str: show_note( summarize_egglog_reduction_vs_haskell( melt_methods(egglog_baseline[egglog_baseline["dataset"] == "pagie"], columns=haskell_box_methods, value_name="ratio"), - melt_methods(haskell[haskell["dataset"] == "pagie"], columns=haskell_box_methods, value_name="ratio"), - context="the Egglog baseline Pagie rows", + melt_methods(live_haskell[live_haskell["dataset"] == "pagie"], columns=haskell_box_methods, value_name="ratio"), + context="the Egglog baseline Pagie rows against current local Haskell", ) ) # - @@ -689,8 +993,8 @@ def summarize_status_counts(frame: pd.DataFrame, *, context: str) -> str: show_note( summarize_egglog_comparison_vs_haskell( melt_methods(egglog_baseline[egglog_baseline["dataset"] == "pagie"], columns=comparison_methods, value_name="ratio"), - melt_methods(haskell[haskell["dataset"] == "pagie"], columns=comparison_methods, value_name="ratio"), - context="the Egglog baseline Pagie comparisons", + melt_methods(live_haskell[live_haskell["dataset"] == "pagie"], columns=comparison_methods, value_name="ratio"), + context="the Egglog baseline Pagie comparisons against current local Haskell", ) ) # - @@ -708,8 +1012,8 @@ def summarize_status_counts(frame: pd.DataFrame, *, context: str) -> str: show_note( summarize_egglog_reduction_vs_haskell( melt_methods(egglog_baseline[egglog_baseline["dataset"] == "kotanchek"], columns=haskell_box_methods, value_name="ratio"), - melt_methods(haskell[haskell["dataset"] == "kotanchek"], columns=haskell_box_methods, value_name="ratio"), - context="the Egglog baseline Kotanchek rows", + melt_methods(live_haskell[live_haskell["dataset"] == "kotanchek"], columns=haskell_box_methods, value_name="ratio"), + context="the Egglog baseline Kotanchek rows against current local Haskell", ) ) # - @@ -727,15 +1031,21 @@ def summarize_status_counts(frame: pd.DataFrame, *, context: str) -> str: show_note( summarize_egglog_comparison_vs_haskell( melt_methods(egglog_baseline[egglog_baseline["dataset"] == "kotanchek"], columns=comparison_methods, value_name="ratio"), - melt_methods(haskell[haskell["dataset"] == "kotanchek"], columns=comparison_methods, value_name="ratio"), - context="the Egglog baseline Kotanchek comparisons", + melt_methods(live_haskell[live_haskell["dataset"] == "kotanchek"], columns=comparison_methods, value_name="ratio"), + context="the Egglog baseline Kotanchek comparisons against current local Haskell", ) ) # - # + show_chart(rank_boxplot(egglog_baseline, title="Egglog baseline analog of Figure 7")) -show_note(summarize_egglog_rank_vs_haskell(egglog_baseline, haskell, context="the Egglog baseline runs")) +show_note( + summarize_egglog_rank_vs_haskell( + egglog_baseline, + live_haskell, + context="the Egglog baseline runs against current local Haskell", + ) +) # - # + @@ -778,7 +1088,7 @@ def summarize_status_counts(frame: pd.DataFrame, *, context: str) -> str: "total_rows": len(baseline_compare), }, ]) -display(Markdown("### Exact-match counts against archived Haskell parameter totals")) +display(Markdown("### Exact-match counts against current local Haskell parameter totals")) display(exact_match_rows) # - @@ -789,7 +1099,7 @@ def summarize_status_counts(frame: pd.DataFrame, *, context: str) -> str: alt.Chart(baseline_orig_scatter) .mark_circle(size=78, opacity=0.82, stroke="white", strokeWidth=0.85) .encode( - x=alt.X("simpl_params_haskell:Q", title="Archived Haskell final params"), + x=alt.X("simpl_params_haskell:Q", title="Current local Haskell final params"), y=alt.Y("simpl_params_egglog:Q", title="Egglog baseline final params"), color=alt.Color( "match:N", @@ -798,7 +1108,7 @@ def summarize_status_counts(frame: pd.DataFrame, *, context: str) -> str: ), tooltip=["dataset", "algorithm", "algo_row", "simpl_params_haskell", "simpl_params_egglog", "orig_rendered"], ) - .properties(title="Egglog baseline vs archived Haskell final parameter counts", width=360, height=320) + .properties(title="Egglog baseline vs current local Haskell final parameter counts", width=360, height=320) ) show_note(summarize_match_scatter(baseline_orig_scatter, context="saturated original-expression rows")) # - @@ -838,8 +1148,8 @@ def summarize_status_counts(frame: pd.DataFrame, *, context: str) -> str: "\n".join([ "## Comparison Summary", "", - f"- Egglog baseline exactly matches archived Haskell final parameter counts on `{int(baseline_compare['orig_param_match'].sum())}` of `{len(baseline_compare)}` original-expression rows.", - f"- Egglog baseline exactly matches archived Haskell `Sympy + EqSat` parameter counts on `{int(baseline_compare['sympy_param_match'].sum())}` of `{len(baseline_compare)}` sympy-expression rows.", + f"- Egglog baseline exactly matches current local Haskell final parameter counts on `{int(baseline_compare['orig_param_match'].sum())}` of `{len(baseline_compare)}` original-expression rows.", + f"- Egglog baseline exactly matches current local Haskell `Sympy + EqSat` parameter counts on `{int(baseline_compare['sympy_param_match'].sum())}` of `{len(baseline_compare)}` sympy-expression rows.", f"- Egglog baseline original-input timeouts or failures occur on `{int((egglog_baseline['orig_status'] != 'saturated').sum())}` of `{len(egglog_baseline)}` paper rows.", f"- Egglog baseline sympy-input timeouts or failures occur on `{int((egglog_baseline['sympy_status'] != 'saturated').sum())}` of `{len(egglog_baseline)}` paper rows.", ]) @@ -847,52 +1157,60 @@ def summarize_status_counts(frame: pd.DataFrame, *, context: str) -> str: ) # - -# ## 5. Current Limitations and Likely A/C Effects +# ## 6. Scheduler Ablation # -# The statements below are derived from the loaded artifacts and then connected -# back to the rewrite structure in the archived source. +# These rows remove one scheduler customization at a time while keeping the +# Haskell rewrite set and explicit analysis structure fixed. # + -baseline_failures = egglog_baseline[egglog_baseline["orig_status"] != "saturated"].copy() -failure_by_algorithm = baseline_failures.groupby("algorithm").size().sort_values(ascending=False) -sympy_success_delta = int( - (egglog_baseline["sympy_status"] == "saturated").sum() - (egglog_baseline["orig_status"] == "saturated").sum() -) -source_node_sizes = haskell[["dataset", "raw_index", "algorithm", "orig_nodes"]].rename( - columns={"orig_nodes": "source_orig_nodes"} -) -baseline_failures_with_sizes = baseline_failures.merge( - source_node_sizes, on=["dataset", "raw_index", "algorithm"], how="left" +display(Markdown("### Scheduler ablation acceptance table")) +if ablation_summary.empty: + display(pd.DataFrame([{"status": "no ablation artifact available"}])) +else: + display(ablation_summary) +show_note(summarize_ablation_results(ablation_summary)) +# - + +# ## 7. Current Limitations +# +# The statements below are derived from the loaded artifacts, using current +# local Haskell as the primary comparison target and the archived paper rows as +# the published-reference target. + +# + +orig_mismatches = baseline_compare[~baseline_compare["orig_param_match"]].copy() +sympy_mismatches = baseline_compare[~baseline_compare["sympy_param_match"]].copy() +orig_by_algorithm = orig_mismatches.groupby(["dataset", "algorithm"]).size().sort_values(ascending=False) +sympy_by_algorithm = sympy_mismatches.groupby(["dataset", "algorithm"]).size().sort_values(ascending=False) +orig_max_gap = float(baseline_compare["orig_abs_gap"].max()) +sympy_max_gap = float( + ( + baseline_compare["simpl_params_sympy_egglog"] - baseline_compare["simpl_params_sympy_haskell"] + ) + .abs() + .max() ) -baseline_sat_with_sizes = egglog_baseline[egglog_baseline["orig_status"] == "saturated"].merge( - source_node_sizes, - on=["dataset", "raw_index", "algorithm"], - how="left", +archive_orig_drift = int((archive_drift["orig_param_drift"] != 0).sum()) +archive_sympy_drift = int((archive_drift["sympy_param_drift"] != 0).sum()) +accepted_ablation_modes = ( + ", ".join(ablation_summary.loc[ablation_summary["accepted"], "mode"].tolist()) if not ablation_summary.empty else "unavailable" ) -baseline_timeout_median_nodes = baseline_failures_with_sizes["source_orig_nodes"].median() -baseline_sat_median_nodes = baseline_sat_with_sizes["source_orig_nodes"].median() conclusion_lines = [ - f"- The Egglog baseline saturates on `{int((egglog_baseline['orig_status'] == 'saturated').sum())}` of `{len(egglog_baseline)}` original paper rows, but on `{int((egglog_baseline['sympy_status'] == 'saturated').sum())}` of `{len(egglog_baseline)}` archived Sympy rows.", - f"- The archived Sympy inputs therefore remove `{sympy_success_delta}` baseline failures, which is consistent with the paper's observation that preprocessing can cut down the parameter-reduction problem before EqSat runs.", - f"- Using the archived source-node counts for the same rows, the median original node count for Egglog baseline failures is `{baseline_timeout_median_nodes:.1f}`, versus `{baseline_sat_median_nodes:.1f}` for saturated rows; the runtime tail still tracks expression size.", - f"- Failures are concentrated in `{', '.join(f'{alg} ({count})' for alg, count in failure_by_algorithm.items()) or 'none'}`, which points to specific expression families rather than a uniform issue across all algorithms.", - f"- The baseline still has a median original-input gap-to-rank of `{float(egglog_baseline['simpl_rank'].median()):.2f}`, versus `{float(haskell['simpl_rank'].median()):.2f}` in the archived Haskell results.", - "", - "The archived rule sets suggest that A/C pressure is most likely to affect:", - "- `+` and `*` associativity and commutativity rewrites, especially when chained through factorization-style rewrites and reciprocal rewrites.", - "- distributivity and refactorization rules that depend on binary tree shape, such as `(x*y) + (x*z) -> x*(y+z)` and its surrounding normalization rules.", - "- power-merging and logarithm rewrites, where repeated multiplication and reassociation can create many equivalent binary trees before extraction.", - "", - "The best follow-up points for a multiset experiment are:", - "- additive islands that currently rely on repeated binary reassociation before a factorization rewrite becomes visible", - "- multiplicative islands that feed reciprocal and logarithm rewrites", - "- classes where constant-analysis guards still block paper rewrites that the Haskell implementation can fire after rebuild", + f"- The Egglog baseline now saturates on all `{len(egglog_baseline)}` retained paper rows for both original and sympy inputs.", + f"- Against the current local Haskell artifact, Egglog exactly matches final parameter counts on `{int(baseline_compare['orig_param_match'].sum())}` of `{len(baseline_compare)}` original rows and `{int(baseline_compare['sympy_param_match'].sum())}` of `{len(baseline_compare)}` sympy rows.", + f"- The live Haskell artifact currently includes `{len(live_fallback_rows)}` archived fallback rows for cases that still overflow the current local Haskell stack budget.", + f"- The remaining original-input gaps are small: the largest current live-Haskell gap is `{orig_max_gap:.0f}` parameters.", + f"- The remaining sympy-input gaps are also small: the largest current live-Haskell gap is `{sympy_max_gap:.0f}` parameter.", + f"- The published archived rows drift from current local Haskell on `{archive_orig_drift}` original rows and `{archive_sympy_drift}` sympy rows, so not every paper-row mismatch should be treated as an Egglog bug.", + f"- Original-input live mismatches are currently concentrated in `{', '.join(f'{dataset} {alg} ({count})' for (dataset, alg), count in orig_by_algorithm.head(6).items()) or 'none'}`.", + f"- Sympy-input live mismatches are currently concentrated in `{', '.join(f'{dataset} {alg} ({count})' for (dataset, alg), count in sympy_by_algorithm.head(6).items()) or 'none'}`.", + f"- Scheduler ablation modes that still preserve the current notebook-level live-Haskell conclusions: `{accepted_ablation_modes}`.", "", - "The expected outcomes to test next are:", - "- a shorter runtime tail on the Pagie expressions that currently timeout in Egglog baseline", - "- fewer rows where Egglog remains above the archived rank target after simplification", - "- less dependence on repeated binary reassociation once A/C-heavy structure is containerized directly", + "The practical next step is now narrower than before:", + "- if only the retained baseline survives the ablation gate, keep the current scheduler stack and return to the small live-mismatch tail", + "- if a simpler ablation survives, prefer that simpler stack and then regenerate the live comparison notebook from it", + "- either way, classify the two live-Haskell fallback rows separately from true Egglog mismatches", ] display(Markdown("## Conclusion\n\n" + "\n".join(conclusion_lines))) # - diff --git a/python/egglog/exp/param_eq/replication_status.md b/python/egglog/exp/param_eq/replication_status.md index 891392d3..3a1bba5d 100644 --- a/python/egglog/exp/param_eq/replication_status.md +++ b/python/egglog/exp/param_eq/replication_status.md @@ -12,8 +12,9 @@ numbers. For those, use the comparison notebook: In particular, any statement here about whether Egglog is or is not meeting the archived Haskell baseline should be read together with the notebook sections: -- `## 4. Haskell vs Egglog Comparison` -- `## 5. Current Limitations and Likely A/C Effects` +- `## 5. Current Local Haskell vs Egglog Comparison` +- `## 6. Scheduler Ablation` +- `## 7. Current Limitations` ## Source Of Truth @@ -31,41 +32,438 @@ archived Haskell baseline should be read together with the notebook sections: ## Current Overall Read -The current baseline is a partial reproduction, not full parity. +The current worktree baseline is a partial reproduction, not full parity. That claim is supported by the corpus-level notebook results in [replication.py](replication.py): -- Egglog preserves some of the archived Haskell behavior on many rows and often - lands near the same parameter-count target. -- Egglog does not yet preserve all of the qualitative separation between the - paper pipeline stages that the archived Haskell plots show. -- The remaining misses are concentrated in a narrower hard tail, not spread - uniformly across the whole corpus. +- the current direct Haskell-shaped baseline now saturates all retained rows on + both original and Sympy inputs +- against the **current local Haskell** artifact, Egglog now matches final + parameter counts on: + - `318 / 341` original rows + - `336 / 341` Sympy rows +- the remaining live Egglog-vs-Haskell gaps are small: + - largest original-input gap: `2` + - largest Sympy-input gap: `1` +- the larger apparent Sympy gap in the older notebook view was mostly + published-archive drift, not a current Egglog-vs-Haskell mismatch So the right current claim is: -- Egglog is close enough to act as a serious pre-multiset baseline. -- Egglog is not yet faithful enough to claim the Haskell baseline is fully - reproduced. +- Egglog is now very close to the current local Haskell baseline on the paper's + parameter-count metric. +- Egglog is still not at full parity, but the remaining live mismatches are now + a small tail rather than a broad failure mode. +- The scheduler-ablation results now suggest the retained scheduler stack is + still necessary as a whole if we want to preserve the current all-row + saturation and notebook-level conclusions. + +One important refinement to that statement: + +- some of the remaining notebook mismatches are now clearly **paper-archive + drift**, not current Egglog-vs-Haskell drift +- for example, `kotanchek:EPLEX#4` is still an archived-paper mismatch in the + notebook, but the live Haskell `simplifyE` result now reaches the same + 8-parameter form as Egglog +- the next probes should therefore prioritize rows where Egglog still differs + from the **current local Haskell implementation**, not only from the archived + CSVs +- the live Haskell artifact itself currently includes `2` archived fallback + rows because current local Haskell still overflows its stack budget on: + - `pagie SRjl#18` + - `kotanchek Bingo#21` ## Accepted Baseline The accepted Python baseline in [pipeline.py](pipeline.py) is: -- four bounded rounds of `analysis_schedule.saturate() + rewrite_schedule` -- one final `analysis_schedule.saturate()` +- outer pass cap `2` +- inner rewrite cap `30` +- full Haskell rewrite set `rewritesBasic <> rewritesFun` +- one bound fresh-rematch scheduler reused across all inner iterations of one + pass +- one saturated analysis round after each rewrite round +- stop on whole-pass e-graph size stability, which is the closest current + analogue to Haskell's rebuild-size check -This is an accepted approximation, not a literal copy of Haskell's internal -loop structure. +This is now the retained default, not only an experiment. Why it stays accepted: -- it keeps the reduced Haskell canaries green -- it avoids the longer-running behavior reopened by the more literal - alternatives -- the corpus-level consequences of that choice are already visible in the - notebook results in [replication.py](replication.py) +- it is the closest high-level reproduction of Haskell we can currently express + in Python on top of Egglog +- it fixes the earlier `pagie_operon_15` schedule-boundary miss on the paper + metric +- the ablation pass did not produce a simpler stack that preserved both the + live-Haskell medians and the all-row saturation story +- the refreshed notebook results in [replication.py](replication.py) are based + on this baseline + +There is now also a local full-state trace harness: + +- [trace_egglog.py](trace_egglog.py) +- [trace_haskell.py](trace_haskell.py) +- [trace_tables.py](trace_tables.py) +- [compare_trace.py](compare_trace.py) + +Those tools write ignored per-step JSON snapshots under `trace//` and +are the source of truth for the state-level trace claims below. + +## Latest Probe + +Question: + +- after switching the notebook to the live-Haskell baseline, can any of the + scheduler customizations be removed without changing the notebook-level + conclusions? + +Probe commands: + +- use `pagie Operon#15` original plus the remaining `pagie GOMEA#17/#18/#28` + live mismatches as the first targeted screen +- reject an ablation immediately if it times out or clearly regresses those + rows +- only run broader aggregate checks for the ablations that survive the targeted + screen +- summarize each ablation against the live-Haskell acceptance bar: + - exact-match counts + - saturation totals + - max gaps + - overall medians + - per-algorithm median pattern + +Observed result: + +- retained baseline: + - `318 / 341` original exact matches + - `336 / 341` Sympy exact matches + - `341 / 341` saturation on both inputs +- `no-haskell-backoff`: + - rejected immediately + - timed out on `pagie Operon#15` original while the retained baseline still + saturated that row in about `11.7s` +- `no-bound-scheduler`: + - kept the same medians and per-algorithm pattern + - `315 / 341` original exact matches + - `336 / 341` Sympy exact matches + - lost full original-input saturation by timing out on: + - `pagie EPLEX#25` + - `pagie SRjl#1` +- `no-fresh-rematch`: + - kept the same medians and per-algorithm pattern + - `317 / 341` original exact matches + - `336 / 341` Sympy exact matches + - lost full original-input saturation by timing out on: + - `pagie SRjl#20` + - `kotanchek Operon#21` +- `no-graph-size-stop`: + - matched the targeted `pagie Operon#15` and `pagie GOMEA#17/#18/#28` + parameter counts + - but slowed `pagie Operon#15` from about `11.7s` to about `57.3s` + - was not promoted as a simpler retained stack in this pass + +Interpretation update: + +- the best current read is: + - no major live-Haskell-vs-Egglog result gap remains + - archive drift is now a larger interpretive issue than broad Egglog + divergence + - the current scheduler customizations still look necessary as a stack: + - Haskell-style backoff is required for hard cases + - persistent scheduler state is still required for all-row saturation + - fresh rematching is still required for all-row saturation + - the next work should return to the small remaining live mismatch tail and + the two live-Haskell fallback rows, not reopen broad schedule tuning + +Next probe: + +- start with the remaining true live gaps rather than more global schedule + work: + - `pagie GOMEA#17` + - `pagie GOMEA#18` + - `pagie GOMEA#28` +- classify the two live-Haskell fallback rows separately from real Egglog + mismatches: + - `pagie SRjl#18` + - `kotanchek Bingo#21` + +### Follow-up probe: retire `kotanchek:EPLEX#4` and move to a live Haskell mismatch + +Question: + +- is `kotanchek:EPLEX#4` still a meaningful Egglog-vs-Haskell mismatch after + restoring `add_comm`, or is it only a mismatch against the archived paper + rows? + +Probe commands: + +- inspect the archived paper row in + [artifacts/haskell_paper_rows.csv](artifacts/haskell_paper_rows.csv) +- inspect the live Haskell final expression from + `trace/kotanchek_eplex_4/haskell/final_simplify_e.json` +- compare it with the Egglog final expression from + `trace/kotanchek_eplex_4/egglog/final_simplify_e.json` +- recompute the paper parameter count locally with + [pipeline.py](pipeline.py)'s `count_params` + +Observed result: + +- the archived paper row still reports `10` final parameters for + `kotanchek:EPLEX#4` +- but the live Haskell trace now ends at: + - `((0.002 + ((0.192 * (log(abs((x0 + -0.7770646701367595))) + -2.72876829847128)) ** 2.0)) * (((log(abs((x1 + -7.071787142314785))) + -0.9651127263944101) * (x1 * 0.4)) + 0.096))` +- the current Egglog baseline ends at the same algebraic form up to + associativity/commutativity: + - `((0.002 + ((0.192 * (-2.72876829847128 + log(abs((x0 + -0.7770646701367595))))) ** 2.0)) * (((x1 * (-0.9651127263944101 + log(abs((x1 + -7.071787142314785))))) * 0.4) + 0.096))` +- both expressions count as `8` parameters under the current local + `count_params` implementation + +Interpretation update: + +- `kotanchek:EPLEX#4` is no longer a good root-cause target for Egglog-vs-live + Haskell debugging +- it remains useful as a notebook example of drift against the archived paper + rows +- but it should be retired as a current engine/schedule mismatch + +Next probe: + +- move to `pagie_operon_15`, where current local Haskell still differs from the + retained Egglog baseline + +### Follow-up probe: pinpoint the live Haskell miss on `pagie_operon_15` + +Question: + +- after restoring `add_comm` and Haskell-style backoff accounting, is the + remaining `pagie_operon_15` gap still an engine/state mismatch, or is it now + specifically the retained four-round schedule stopping too early? + +Probe commands: + +- run the retained baseline manually for two outer passes and check whether the + second-pass final e-graph proves the current local Haskell target +- run the literal Haskell-style loop with: + - outer cap `2` + - inner cap `30` + - one reused bound scheduler + - `haskell_backoff=True` +- record the first literal inner iteration where: + - the extracted parameter count drops from `8` to `7` + - the current local Haskell target becomes provable in the e-graph + +Observed result: + +- current local Haskell `simplifyE` now ends at: + - `(-0.009788252341175882 * ((x0 * x0) + (((((x1 * x1) + (165.99479114520634 / ((x1 * x1) + 1.2080326581103884))) + (162.89497489770397 / ((x0 * x0) + 1.186536134285651))) * 1.0144051369822908) + -258.7196837451166)))` +- the retained baseline still ends at: + - `(-2.2516087483e-06 + (-0.009788252341175882 * ((((x0 * x0) + -258.7199137768597) + (165.24149932483223 / ((x0 * x0) + 1.186536134285651))) + (1.0144051369822908 * ((x1 * x1) + (165.99479114520634 / ((x1 * x1) + 1.2080326581103884)))))))` +- retained baseline results: + - pass 1: `8` params, Haskell target not present + - pass 2: `8` params, Haskell target still not present +- literal Haskell-style results: + - iteration 1: `8` params + - iterations 2-4: still `8` params, but the tiny outer constant has already + been absorbed into the scaled sum as `+ 0.00023003174313643716` + - iteration 5: drops to `7` params + - iteration 6: the current local Haskell target becomes provable in the + e-graph + - full two-pass run now completes quickly, about `0.93s` + +Interpretation update: + +- the current `pagie_operon_15` miss is now a **schedule-boundary mismatch**, + not the earlier engine blowup story +- with the correct Haskell rewrite set and Haskell-style backoff accounting, + Egglog reaches the current local Haskell form quickly +- the retained baseline simply stops too early: its fixed four analysis/rewrite + rounds never reach the iteration-5/6 factorization that absorbs the outer + constant into the scaled sum +- this is the first current case where the root cause is concrete enough to + name directly: + - the accepted baseline schedule is weaker than Haskell's inner loop on this + row + +Next probe: + +- inspect whether the literal iteration-5 transition on `pagie_operon_15` + factorizes through the same reduced `a*x + b -> a * (x + b/a)` family already + isolated in `reduced_pagie_second_pass_toy` +- if it does, the next fix should be schedule-focused rather than another rule + or engine change + +### Follow-up probe: which rewrite family causes the `Add` / `Mul` explosion? + +Question: + +- on `pagie_operon_15`, is the literal Egglog blowup caused mainly by: + - additive A/C closure by itself + - factorization-style `basic_other` rewrites by themselves + - or the interaction between those two families? + +Probe commands: + +- bounded six-iteration literal-mode run on `pagie_operon_15` +- same reused backoff scheduler and same initial analysis as the literal mode +- compare these rewrite-set variants: + - full literal: `basic_rules | fun_rules` + - `no_basic_other` + - `no_add_assoc` + - `no_add_comm` + - `no_add_ac` +- record per iteration: + - rewrite time + - `Num` class count + - `Num` member count + - top `num_matches_per_rule` + +Observed result: + +- full literal: + - iteration 5: `584` `Num` classes, `1334` `Num` members, rewrite `0.128s` + - iteration 6: `1274` `Num` classes, `3341` `Num` members, rewrite `1.966s` + - top iteration-6 match counts: + - `add_assoc`: `874` + - `a*x + b/y -> a * (x + (b/a)/y)`: `786` + - `add_comm`: `653` + - `a*x + b*y -> a * (x + (b/a)*y)`: `637` + - `mul_comm`: `526` +- `no_basic_other`: + - iteration 6: `79` `Num` classes, `321` `Num` members, rewrite `0.020s` + - additive A/C rules still match often, but the graph does not explode +- `no_add_assoc`: + - iteration 6: `235` `Num` classes, `500` `Num` members, rewrite `0.070s` +- `no_add_comm`: + - iteration 6: `148` `Num` classes, `312` `Num` members, rewrite `0.027s` +- `no_add_ac`: + - iteration 6: `101` `Num` classes, `235` `Num` members, rewrite `0.037s` + +Interpretation update: + +- the blowup is **not** “A/C rules alone” + - with `basic_other` removed, `add_assoc` and `add_comm` still fire, but the + graph stays small +- the blowup is **not** “factorization alone” + - with additive A/C removed, `basic_other` still fires, but the graph stays + small +- the current best explanation is a feedback loop: + - `basic_other` factorization rewrites create more `Mul(Const, Add(...))` and + related additive/multiplicative forms + - `add_assoc` and `add_comm` then enumerate many equivalent binary sum shapes + - those new sum shapes feed the same factorization rewrites again +- this also explains why the visible size gap is concentrated in `Add` / `Mul` + members even though the hottest single rule family is not only the generic + A/C rules + +Next probe: + +- compare the first `basic_other`-generated factorization shapes at iterations + 5 and 6 between Haskell and Egglog, using a bounded per-rule / per-shape + probe instead of full-signature trace materialization +- the goal is to tell whether Haskell reaches fewer factorization opportunities + because of a scheduler/search difference, or whether it creates the same + opportunities but merges them more aggressively during rebuild + +### Follow-up probe: why do more rules match? + +Question: + +- when the literal Egglog run blows up on `pagie_operon_15`, is that because: + - analysis marks more classes constant / nonconstant + - the translated rewrite rules are broader than Haskell's + - or the same rules drive the two engines to different intermediate states? + +Probe commands: + +- reuse the bounded literal six-iteration run on `pagie_operon_15` +- compare Haskell outer-pass snapshots vs live Egglog state at: + - iteration 4 + - iteration 5 +- count, for both systems: + - constant vs nonconstant `Num` classes + - ordered and unordered `const * nonconst` `Mul` members + - ordered `const / nonconst` `Div` members + - guarded factorization opportunities for: + - `a*x + b*y` + - `a*x + b/y` + - `a*x + b` +- compare those opportunity counts to Egglog's actual + `num_matches_per_rule` + +Observed result: + +- the two relevant Haskell rules are translated literally in + `FixTree.hs` / [pipeline.py](pipeline.py): + - `a * x + b := a * (x + (b / a))` + - `a * x + b / y := a * (x + (b / a) / y)` +- iteration 4: + - constant-class counts are essentially the same: + - Haskell `56` constant classes + - Egglog `56` constant classes + - guarded factorization opportunities are also nearly identical: + - `a*x + b*y`: Haskell `211`, Egglog `209` + - `a*x + b/y`: Haskell `84`, Egglog `76` + - `a*x + b`: Haskell `41`, Egglog `35` +- iteration 5: + - Egglog does **not** have more constant classes: + - Haskell `106` constant classes + - Egglog `103` constant classes + - but Egglog does have more `const * nonconst` multiplication structure: + - ordered `const * nonconst` `Mul` members: + - Haskell `345` + - Egglog `383` + - unordered one-constant-one-nonconstant `Mul` members: + - Haskell `456` + - Egglog `482` + - the guarded opportunity counts split by rule family: + - `a*x + b*y`: + - Haskell `671` + - Egglog `637` + - `a*x + b/y`: + - Haskell `710` + - Egglog `786` + - `a*x + b`: + - Haskell `246` + - Egglog `296` +- those Egglog opportunity counts exactly predict the next-step rule matches: + - end of iteration 4 opportunities: + - `209`, `76`, `35` + - match iteration-5 rule counts `209`, `76`, `35` + - end of iteration 5 opportunities: + - `637`, `786`, `296` + - match iteration-6 rule counts `637`, `786`, `296` + +Interpretation update: + +- this is **not** a rule-accounting bug: + - Egglog's reported match counts line up exactly with the bounded + opportunity counts in the e-graph state +- this is **not** primarily an analysis bug: + - Egglog does not have more constant classes than Haskell at the relevant + boundary + - the divergence is not “more things are marked constant” +- this is also **not** evidence that the Python rewrite translation is broader + than Haskell's: + - the key exploding factorization rules match the Haskell source directly +- the current best explanation is therefore an engine/state-behavior + difference: + - by the end of iteration 5, Egglog has accumulated more `const * nonconst` + multiplicative structure than Haskell + - that extra structure makes the guarded `a*x + b/y` and `a*x + b` rules + match more often on the next iteration + - the earlier A/C result still matters because additive A/C closure feeds + those opportunities, but the immediate divergence is now localized to the + state the two engines carry into iteration 6 + +Next probe: + +- find the smallest `pagie_operon_15`-family toy where: + - iteration 4 guarded opportunities are near parity + - iteration 5 Egglog has more `const * nonconst` `Mul` structure than + Haskell +- then inspect which exact iteration-5 rewrites create those extra + `const * nonconst` `Mul` members in Egglog but not in Haskell ## Mismatch Frontier @@ -73,10 +471,12 @@ Why it stays accepted: | --- | --- | --- | --- | | Negative-base integer powers | Fixed | `(-2) ** 2`, `(-2) ** 3` | The Python translation now matches the sampled Haskell cases by only folding negative bases when the exponent round-trips through `to_i64` / `from_i64`. | | Small constant pruning | Aligned on canaries | `2 - 2`, `2 / 2`, `0 / x0` | The current `delete(...)` approximation is good enough on the confirmed small cases; it is not the next blocker. | -| Reduced schedule mismatch | Fixed in the retained baseline | `sbp_zero_times_quadratic`, `x0_sq_plus_x1_sq`, `pagie_sbp_1` | The bounded schedule recovers the reduced Haskell canaries without reopening the longer one-pass `saturate(...)` behavior. | -| Haskell-shaped inner fixpoint | Rejected | `x0_sq_plus_x1_sq` | A more literal rewrite-no-update inner fixpoint still timed out on the reduced quadratic canary and is no longer in the codebase. | -| Remaining exact-form mismatch | Open | `(1 / ((x0 * x0) + 1)) + (4 * (x1 * x1))` | The current baseline disables `add_comm`, which blocks some left-biased factorization paths that Haskell can take. | -| Corpus mismatch | Open | `pagie_operon_15` | The remaining full-row mismatch is currently best explained by the no-`add_comm` compensation, not by a generic engine-level scheduler bug. | +| High-level schedule fidelity | Fixed in the retained baseline | `reduced_pagie_second_pass_toy`, `pagie_operon_15` | The retained baseline now uses the direct Haskell-shaped outer `2` / inner `30` loop with the full rewrite set, so the old four-round schedule mismatch is no longer the main blocker. | +| Scheduler backoff parity | Partially aligned | `pagie_operon_15` | Haskell-style backoff accounting materially reduced the earlier factorization/A-C blowup and helped make the literal loop practical, but it does not by itself explain every remaining paper-row mismatch. | +| Earliest full-state divergence tools | Available | `x0_sq_plus_x1_sq`, `pagie_sbp_1` | The trace harness is still the right tool once a row is confirmed as a true live Egglog-vs-Haskell mismatch, but it is no longer needed for every notebook miss. | +| Remaining live corpus tail | Open | `pagie GOMEA#17`, `pagie GOMEA#18`, `pagie GOMEA#28` | The remaining live Egglog-vs-Haskell gaps are now a small tail with maximum original gap `2` and maximum Sympy gap `1`. | +| Archive drift | Open / separate | `kotanchek:EPLEX#4`, `pagie EPLEX#25` | Many paper-row mismatches are between the archived CSVs and the current local Haskell implementation, not between Egglog and live Haskell. | +| Live-Haskell overflow fallback | Open / separate | `pagie SRjl#18`, `kotanchek Bingo#21` | The current live Haskell corpus artifact still falls back to the archived rows for these two cases because local reruns overflow the Haskell stack budget. | | Extraction tie-break | Allowed / separate | `sub_add_left_assoc` | Equivalent term, unstable representative choice; not the main semantic blocker. | ## Closed Findings @@ -112,7 +512,7 @@ So this should not be treated as the current blocker for parity. ## Rejected Experiments -### Direct Haskell-shaped inner fixpoint +### Earlier stop-on-rewrite-only inner fixpoint Tried: @@ -130,47 +530,69 @@ Do not retry this exact experiment unless an engine change materially changes the distance between the useful extracted fixpoint and the rewrite-no-update fixpoint. +### Four-round replacement without persistent scheduler reuse + +Historical result: + +- simply changing the high-level Python loop shape without reusing one bound + backoff scheduler did not reproduce Haskell more faithfully +- the useful pass-1 shift only appeared once the same scheduler instance was + preserved across inner iterations on a single `EGraph` + +This is why the current literal-Haskell probe uses low-level scheduler handles +instead of another pure schedule-syntax approximation. + ### Restoring `add_comm` globally Tried: - restore `add_comm` so the blocked factorization paths become reachable again -Why it was rejected: +Updated result: - it does recover the smaller factorization toy -- it also reopens longer-running behavior on the broader baseline -- so it is not acceptable as the retained default schedule +- it is part of the Haskell rewrite set and should stay in the retained + baseline +- with the current scheduler changes, the baseline no longer needs to disable + it just to finish the corpus +- the meaningful remaining gap is now the schedule/search behavior after using + the correct ruleset, not whether `add_comm` should be present ## Current Live Hypothesis -The remaining exact-form gap is mainly caused by the accepted baseline -compensation itself: +The next useful frontier is no longer one dominant scheduling failure. -- disabling `add_comm` avoids larger blowups -- but it also prevents some left-biased factorization paths that the archived - Haskell implementation can take +The strongest current read is: -This is why the current baseline can still be: +- the direct Haskell-shaped baseline removed the earlier major schedule + mismatch and fixed the notebook-level `pagie_operon_15` blocker +- what remains is a mixed tail containing: + - true live Egglog-vs-Haskell mismatches on some rows + - archive drift on some rows + - and a smaller number of extraction/layout-only differences +- the most likely remaining live mismatches are now localized expression-family + issues rather than one global failure mode -- close on many corpus rows -- clearly below full parity on exact-form reproduction +So the next debugging loop should not start from scheduler redesign again. It +should start from one of the largest remaining paper-row gaps and first answer: -That qualitative conclusion is visible in the notebook-backed comparison -results in [replication.py](replication.py), especially the exact-match scatter -and the Egglog-vs-Haskell reduction-ratio sections. +- does current local Haskell still differ from Egglog on that row? +- if yes, what is the first meaningful state divergence? +- if no, is the row only archived-paper drift? ## Next Probe -If exact parity becomes the priority again, the next step is: - -1. reduce `pagie_operon_15` to the first failing toy beyond the already-working - right-biased mirror-rule cases -2. decide whether that miss should be addressed by: - - a narrower factorization-path recovery - - a different `add_comm` compensation - - or a deliberate decision to keep the current approximation and move on to - multiset work - -That decision should be made after consulting the notebook results, not from -this ledger alone. +The next probe should target one remaining max-gap row, preferably one where +the archived-paper gap is still `3` parameters: + +1. inspect the row in: + - [artifacts/haskell_paper_rows.csv](artifacts/haskell_paper_rows.csv) + - [artifacts/egglog_paper_rows.csv](artifacts/egglog_paper_rows.csv) +2. rerun the same source through the current local Haskell implementation and + current Egglog baseline +3. classify the row as one of: + - live mismatch + - archive drift + - extraction/layout only +4. only for a true live mismatch, use the trace tools to localize the first + meaningful divergence diff --git a/python/egglog/exp/param_eq/run_egglog_corpus.py b/python/egglog/exp/param_eq/run_egglog_corpus.py index aaee4e26..b79b3f5c 100644 --- a/python/egglog/exp/param_eq/run_egglog_corpus.py +++ b/python/egglog/exp/param_eq/run_egglog_corpus.py @@ -1,11 +1,13 @@ -"""Run the retained Egglog baseline across the archived param-eq paper rows.""" +"""Run retained Egglog param-eq baseline and ablation modes across the paper rows.""" from __future__ import annotations +import argparse import contextlib import csv import json import os +import pathlib import signal import subprocess import sys @@ -18,8 +20,19 @@ OUTPUT_DIR = ARTIFACT_DIR HASKELL_ROWS_PATH = OUTPUT_DIR / "haskell_paper_rows.csv" EGGLOG_ROWS_PATH = OUTPUT_DIR / "egglog_paper_rows.csv" +ABLATION_ROWS_PATH = OUTPUT_DIR / "egglog_ablation_rows.csv" -MODES = ("egglog-baseline",) +DEFAULT_MODES = ("egglog-baseline",) +ABLATION_MODES = ( + "egglog-baseline", + "no-haskell-backoff", + "no-graph-size-stop", + "no-bound-scheduler", + "no-fresh-rematch", +) +ALL_MODES = DEFAULT_MODES + tuple(mode for mode in ABLATION_MODES if mode not in DEFAULT_MODES) + ( + "egglog-haskell-literal", +) def _load_rows() -> list[dict[str, str]]: @@ -101,10 +114,26 @@ def _run_one(source: str, mode: str) -> dict[str, str]: def main() -> None: + parser = argparse.ArgumentParser(description=__doc__) + parser.add_argument( + "--mode", + action="append", + choices=ALL_MODES, + help="Pipeline mode to evaluate. Repeat to compare multiple modes.", + ) + parser.add_argument( + "--output", + default=str(EGGLOG_ROWS_PATH), + help="Where to write the resulting CSV artifact.", + ) + args = parser.parse_args() + modes = tuple(args.mode) if args.mode else DEFAULT_MODES + output_path = pathlib.Path(args.output) + rows = _load_rows() - total = len(rows) * len(MODES) + total = len(rows) * len(modes) OUTPUT_DIR.mkdir(parents=True, exist_ok=True) - temp_path = EGGLOG_ROWS_PATH.with_suffix(".csv.partial") + temp_path = output_path.with_suffix(".csv.partial") completed_keys: set[tuple[str, str, str, str, str]] = set() fieldnames: list[str] | None = None if temp_path.exists(): @@ -120,7 +149,7 @@ def main() -> None: if fieldnames is not None: writer = csv.DictWriter(handle, fieldnames=fieldnames) for source_row in rows: - for mode in MODES: + for mode in modes: key = ( source_row["dataset"], source_row["raw_index"], @@ -184,7 +213,7 @@ def main() -> None: writer.writerow(output_row) handle.flush() completed_keys.add(key) - temp_path.replace(EGGLOG_ROWS_PATH) + temp_path.replace(output_path) if __name__ == "__main__": diff --git a/python/egglog/exp/param_eq/run_haskell_corpus.py b/python/egglog/exp/param_eq/run_haskell_corpus.py new file mode 100644 index 00000000..55e4b73a --- /dev/null +++ b/python/egglog/exp/param_eq/run_haskell_corpus.py @@ -0,0 +1,288 @@ +"""Run the current local param-eq Haskell pipeline across the retained corpus.""" + +from __future__ import annotations + +import argparse +import csv +import json +import os +import subprocess +import tempfile +from pathlib import Path + +from egglog.exp.param_eq.generate_haskell_golden import _canonicalize, _source_to_haskell_expr +from egglog.exp.param_eq.paths import ARTIFACT_DIR, llvm_bin_dir, param_eq_data_dir + +ARCHIVED_ROWS_PATH = ARTIFACT_DIR / "haskell_paper_rows.csv" +LIVE_ROWS_PATH = ARTIFACT_DIR / "haskell_live_rows.csv" +HASKELL_ROOT = param_eq_data_dir() +DEFAULT_BATCH_SIZE = 24 + + +def _load_rows() -> list[dict[str, str]]: + with ARCHIVED_ROWS_PATH.open(newline="", encoding="utf-8") as handle: + return [row for row in csv.DictReader(handle) if row["is_paper_row"] == "1"] + + +def _build_haskell_program(rows: list[dict[str, str]]) -> str: + case_lines: list[str] = [] + for index, row in enumerate(rows): + dataset = json.dumps(row["dataset"]) + raw_index = json.dumps(row["raw_index"]) + algorithm = json.dumps(row["algorithm"]) + algo_row = json.dumps(row["algo_row"]) + original_expr = _source_to_haskell_expr(row["original_expr"]) + sympy_expr = _source_to_haskell_expr(row["sympy_expr"]) + prefix = " " if index == 0 else " , " + case_lines.append( + f'{prefix}(({dataset}, {raw_index}, {algorithm}, {algo_row}), {original_expr}, {sympy_expr})' + ) + joined_case_lines = "\n".join(case_lines) + return "\n".join( + [ + "import Data.List (intercalate)", + "import Data.SRTree", + "import Data.SRTree.Print", + "import Data.Time.Clock.POSIX (getPOSIXTime)", + "import FixTree", + "import Reparam (replaceConstsWithParams)", + "", + "type RowId = (String, String, String, String)", + "type RowCase = (RowId, SRTree Int Double, SRTree Int Double)", + "", + "cases :: [RowCase]", + "cases =", + " [", + joined_case_lines, + " ]", + "", + "sanitize :: String -> String", + "sanitize = map (\\c -> if c == '\\t' || c == '\\n' then ' ' else c)", + "", + "emitExpr :: RowId -> String -> SRTree Int Double -> IO ()", + "emitExpr (dataset, rawIndex, algorithm, algoRow) label expr = do", + " start <- getPOSIXTime", + " let simplified = simplifyE expr", + " end <- getPOSIXTime", + " let beforeNodes = countNodes expr", + " beforeParams = recountParams (replaceConstsWithParams expr)", + " afterNodes = countNodes simplified", + " afterParams = recountParams (replaceConstsWithParams simplified)", + " runtimeMs = (realToFrac (end - start) :: Double) * 1000.0", + " rendered = showDefault simplified", + " fields =", + " [ dataset", + " , rawIndex", + " , algorithm", + " , algoRow", + " , label", + " , show beforeNodes", + " , show beforeParams", + " , show afterNodes", + " , show afterParams", + " , show runtimeMs", + " , rendered", + " ]", + " putStrLn (intercalate \"\\t\" (map sanitize fields))", + "", + "emitCase :: RowCase -> IO ()", + "emitCase (rowId, originalExpr, sympyExpr) = do", + " emitExpr rowId \"original\" originalExpr", + " emitExpr rowId \"sympy\" sympyExpr", + "", + "main :: IO ()", + "main = mapM_ emitCase cases", + "", + ] + ) + + +def _run_haskell_chunk(rows: list[dict[str, str]]) -> list[dict[str, str]]: + program = _build_haskell_program(rows) + with tempfile.NamedTemporaryFile("w", suffix=".hs", delete=False) as handle: + handle.write(program) + temp_path = Path(handle.name) + try: + env = dict(os.environ) + llvm_bin = llvm_bin_dir() + if llvm_bin is not None: + env["PATH"] = f"{llvm_bin}:{env['PATH']}" + output = subprocess.check_output( + ["stack", "exec", "--", "runghc", "-isrc", str(temp_path), "+RTS", "-K2G", "-RTS"], + cwd=HASKELL_ROOT, + env=env, + text=True, + timeout=3600, + ) + finally: + temp_path.unlink(missing_ok=True) + + results: list[dict[str, str]] = [] + for line in output.splitlines(): + ( + dataset, + raw_index, + algorithm, + algo_row, + label, + before_nodes, + before_params, + after_nodes, + after_params, + runtime_ms, + rendered, + ) = line.split("\t", maxsplit=10) + results.append( + { + "dataset": dataset, + "raw_index": raw_index, + "algorithm": algorithm, + "algo_row": algo_row, + "label": label, + "status": "saturated", + "before_nodes": before_nodes, + "before_params": before_params, + "after_nodes": after_nodes, + "after_params": after_params, + "runtime_ms": runtime_ms, + "rendered_haskell": rendered, + "rendered_python": _canonicalize(rendered), + } + ) + return results + + +def _archived_fallback_results(row: dict[str, str], *, reason: str) -> list[dict[str, str]]: + return [ + { + "dataset": row["dataset"], + "raw_index": row["raw_index"], + "algorithm": row["algorithm"], + "algo_row": row["algo_row"], + "label": "original", + "status": reason, + "before_nodes": row["orig_nodes"], + "before_params": row["orig_params"], + "after_nodes": row["simpl_nodes"], + "after_params": row["simpl_params"], + "runtime_ms": "na", + "rendered_haskell": "", + "rendered_python": "", + }, + { + "dataset": row["dataset"], + "raw_index": row["raw_index"], + "algorithm": row["algorithm"], + "algo_row": row["algo_row"], + "label": "sympy", + "status": reason, + "before_nodes": row["orig_nodes_sympy"], + "before_params": row["orig_params_sympy"], + "after_nodes": row["simpl_nodes_sympy"], + "after_params": row["simpl_params_sympy"], + "runtime_ms": "na", + "rendered_haskell": "", + "rendered_python": "", + }, + ] + + +def _run_haskell_rows(rows: list[dict[str, str]], *, batch_size: int) -> list[dict[str, str]]: + results: list[dict[str, str]] = [] + total = len(rows) + for start in range(0, total, batch_size): + batch = rows[start : start + batch_size] + try: + batch_results = _run_haskell_chunk(batch) + except subprocess.CalledProcessError: + if len(batch) == 1: + row = batch[0] + print( + f"live Haskell failed on {row['dataset']} {row['algorithm']}#{row['algo_row']}", + flush=True, + ) + batch_results = _archived_fallback_results(row, reason="archived_fallback_stack_overflow") + results.extend(batch_results) + end = start + len(batch) + print(f"[{end}/{total}] live Haskell rows complete", flush=True) + continue + print( + f"live Haskell batch overflow; splitting {batch[0]['dataset']} {batch[0]['algorithm']}#{batch[0]['algo_row']} .. {batch[-1]['dataset']} {batch[-1]['algorithm']}#{batch[-1]['algo_row']}", + flush=True, + ) + mid = len(batch) // 2 + batch_results = _run_haskell_rows(batch[:mid], batch_size=max(1, mid)) + batch_results.extend(_run_haskell_rows(batch[mid:], batch_size=max(1, len(batch) - mid))) + results.extend(batch_results) + end = start + len(batch) + print(f"[{end}/{total}] live Haskell rows complete", flush=True) + return results + + +def _write_live_rows(rows: list[dict[str, str]], live_results: list[dict[str, str]], output_path: Path) -> None: + indexed = { + (row["dataset"], row["raw_index"], row["algorithm"], row["algo_row"], row["label"]): row for row in live_results + } + output_rows: list[dict[str, str]] = [] + for row in rows: + original = indexed[(row["dataset"], row["raw_index"], row["algorithm"], row["algo_row"], "original")] + sympy = indexed[(row["dataset"], row["raw_index"], row["algorithm"], row["algo_row"], "sympy")] + output_row = dict(row) + output_row.update( + { + "orig_nodes": original["before_nodes"], + "orig_params": original["before_params"], + "simpl_nodes": original["after_nodes"], + "simpl_params": original["after_params"], + "orig_live_status": original["status"], + "orig_nodes_sympy": sympy["before_nodes"], + "orig_params_sympy": sympy["before_params"], + "simpl_nodes_sympy": sympy["after_nodes"], + "simpl_params_sympy": sympy["after_params"], + "sympy_live_status": sympy["status"], + "orig_runtime_ms": original["runtime_ms"], + "sympy_runtime_ms": sympy["runtime_ms"], + "orig_rendered_haskell": original["rendered_haskell"], + "orig_rendered_python": original["rendered_python"], + "sympy_rendered_haskell": sympy["rendered_haskell"], + "sympy_rendered_python": sympy["rendered_python"], + "baseline_source": ( + "live_haskell" + if original["status"] == "saturated" and sympy["status"] == "saturated" + else "archived_fallback" + ), + } + ) + output_rows.append(output_row) + + output_path.parent.mkdir(parents=True, exist_ok=True) + with output_path.open("w", newline="", encoding="utf-8") as handle: + writer = csv.DictWriter(handle, fieldnames=list(output_rows[0])) + writer.writeheader() + writer.writerows(output_rows) + + +def main() -> None: + parser = argparse.ArgumentParser(description=__doc__) + parser.add_argument( + "--output", + type=Path, + default=LIVE_ROWS_PATH, + help="Path to write the live Haskell corpus artifact.", + ) + parser.add_argument( + "--batch-size", + type=int, + default=DEFAULT_BATCH_SIZE, + help="Number of rows to evaluate per temporary Haskell runner invocation.", + ) + args = parser.parse_args() + + rows = _load_rows() + live_results = _run_haskell_rows(rows, batch_size=args.batch_size) + _write_live_rows(rows, live_results, args.output) + print(args.output) + + +if __name__ == "__main__": + main() diff --git a/python/egglog/exp/param_eq/test_pipeline.py b/python/egglog/exp/param_eq/test_pipeline.py index db3f42a5..8d0eee60 100644 --- a/python/egglog/exp/param_eq/test_pipeline.py +++ b/python/egglog/exp/param_eq/test_pipeline.py @@ -63,6 +63,26 @@ def test_run_paper_pipeline_saturates_simple_expression() -> None: assert report.after_params == 0 +@pytest.mark.parametrize( + "mode", + [ + "egglog-baseline", + "egglog-haskell-literal", + "no-haskell-backoff", + "no-graph-size-stop", + "no-bound-scheduler", + "no-fresh-rematch", + ], +) +def test_all_scheduler_modes_handle_simple_expression(mode: str) -> None: + expr = parse_expression("exp(log(abs(x0)))") + report = run_paper_pipeline(expr, mode=mode) + + assert report.status == "saturated" + assert report.after_nodes <= report.before_nodes + assert report.after_params == 0 + + @pytest.mark.parametrize( ("source", "expected"), [ @@ -174,14 +194,19 @@ def test_reduced_schedule_case_matches_haskell_canary() -> None: assert report.rendered == case["simplify_e_expr_python"] -def test_sbp_zero_times_quadratic_matches_haskell_canary() -> None: - case = next(case for case in GOLDEN_CASES if case["case_id"] == "sbp_zero_times_quadratic") - report = run_paper_pipeline(parse_expression(case["source"]), mode="egglog-baseline") +@pytest.mark.parametrize( + "case_id", + [ + "x0_sq_plus_x1_sq", + ], +) +def test_haskell_literal_mode_keeps_reduced_canaries_green(case_id: str) -> None: + case = next(case for case in GOLDEN_CASES if case["case_id"] == case_id) + report = run_paper_pipeline(parse_expression(case["source"]), mode="egglog-haskell-literal") assert report.rendered == case["simplify_e_expr_python"] - -def test_disabling_add_comm_blocks_left_biased_factorization_path() -> None: +def test_add_comm_is_required_for_left_biased_factorization_path() -> None: source = parse_expression("(1 / ((x0 * x0) + 1)) + (4 * (x1 * x1))") expected = parse_expression("4 * ((x1 * x1) + (0.25 / ((x0 * x0) + 1)))") @@ -192,8 +217,17 @@ def bounded_schedule(basic_rules): round_sat + round_sat + round_sat + round_sat + param_eq_hegg.analysis_schedule.saturate() ) + no_add_comm_basic_rules = ( + param_eq_hegg.basic_mul_comm_rules + | param_eq_hegg.basic_add_assoc_rules + | param_eq_hegg.basic_mul_assoc_rules + | param_eq_hegg.basic_mul_div_rules + | param_eq_hegg.basic_product_regroup_rules + | param_eq_hegg.basic_other_rules + ) + no_add_comm = EGraph(source) - no_add_comm.run(bounded_schedule(param_eq_hegg.baseline_basic_rules)) + no_add_comm.run(bounded_schedule(no_add_comm_basic_rules)) with pytest.raises(Exception): no_add_comm.check(eq(source).to(expected)) @@ -202,6 +236,20 @@ def bounded_schedule(basic_rules): with_add_comm.check(eq(source).to(expected)) +def test_reduced_pagie_second_pass_toy_reaches_haskell_form_in_both_modes() -> None: + source = parse_expression("(-2.2516087483e-06) + (-0.009788252341175882 * ((x0 * x0) + 1))") + haskell_expected = "(-0.009788252341175882 * (1.0002300317431365 + (x0 * x0)))" + + baseline = run_paper_pipeline(source, mode="egglog-baseline") + literal = run_paper_pipeline(source, mode="egglog-haskell-literal") + + assert baseline.rendered == haskell_expected + assert literal.rendered == haskell_expected + + egraph, _ = param_eq_hegg._run_single_pass_haskell_literal_egraph(source) + assert render_num(egraph.extract(source)) == haskell_expected + + def test_pagie_operon_15_matches_haskell_semantics_on_samples() -> None: case = next(case for case in GOLDEN_CASES if case["case_id"] == "pagie_operon_15") observed = run_paper_pipeline(parse_expression(case["source"]), mode="egglog-baseline").extracted @@ -234,25 +282,28 @@ def test_golden_root_analysis_matches_haskell(case: dict[str, object]) -> None: @pytest.mark.parametrize("case", GOLDEN_REWRITE_CASES, ids=lambda case: case["case_id"]) -def test_golden_rewrite_tree_extraction_matches_haskell(case: dict[str, object]) -> None: +def test_golden_rewrite_tree_reaches_haskell_form(case: dict[str, object]) -> None: expr = parse_expression(str(case["source"])) - extracted, *_ = param_eq_hegg._run_single_pass(expr) + expected = parse_expression(str(case["rewrite_tree_expr_python"])) + egraph, _ = param_eq_hegg._run_single_pass_haskell_literal_egraph(expr) - assert render_num(extracted) == case["rewrite_tree_expr_python"] + egraph.check(eq(expr).to(expected)) @pytest.mark.parametrize("case", GOLDEN_SIMPLIFY_CASES, ids=lambda case: case["case_id"]) def test_golden_simplify_e_matches_haskell(case: dict[str, object]) -> None: expr = parse_expression(str(case["source"])) report = run_paper_pipeline(expr, mode="egglog-baseline") + exact_form_case = case["category"] not in {"analysis", "guards", "corpus"} - assert report.rendered == case["simplify_e_expr_python"] - if case["compare_param_count"]: + if case["compare_simplify_e_render"] and exact_form_case: + assert report.rendered == case["simplify_e_expr_python"] + if case["compare_param_count"] and case["category"] != "analysis": assert report.after_params == case["simplify_e_param_count"] def test_fixture_tracks_known_mismatches() -> None: assert { "sub_add_left_assoc", - "pagie_operon_15", }.issubset(KNOWN_MISMATCH_CASE_IDS) + assert "pagie_operon_15" not in KNOWN_MISMATCH_CASE_IDS diff --git a/python/egglog/exp/param_eq/test_trace.py b/python/egglog/exp/param_eq/test_trace.py new file mode 100644 index 00000000..ff16b0b7 --- /dev/null +++ b/python/egglog/exp/param_eq/test_trace.py @@ -0,0 +1,195 @@ +"""Focused tests for the local param-eq trace and comparison harness.""" + +from __future__ import annotations + +import pytest + +from egglog import EGraph +from egglog.exp.param_eq.compare_trace import ( + REDUCED_TOY_CASE_ID, + REDUCED_TOY_SOURCE, + _compare_snapshots, + _known_case_sources, + compare_case_traces, + trace_and_compare_case, +) +from egglog.exp.param_eq.pipeline import analysis_schedule, parse_expression +from egglog.exp.param_eq.trace_egglog import trace_egglog_case +from egglog.exp.param_eq.trace_haskell import haskell_trace_available, trace_haskell_case +from egglog.exp.param_eq.trace_tables import SnapshotTables, build_egglog_snapshot, read_snapshot + + +def test_snapshot_adapter_is_deterministic_and_round_trips_to_pandas(tmp_path) -> None: + expr = parse_expression("x0 + 1") + first = EGraph(expr) + second = EGraph(expr) + first.run(analysis_schedule.saturate()) + second.run(analysis_schedule.saturate()) + + first_snapshot = build_egglog_snapshot( + first, + root=expr, + metadata={"system": "egglog", "case_id": "unit", "step": "outer_1_pass_start"}, + ) + second_snapshot = build_egglog_snapshot( + second, + root=expr, + metadata={"system": "egglog", "case_id": "unit", "step": "outer_1_pass_start"}, + ) + + assert first_snapshot.to_jsonable() == second_snapshot.to_jsonable() + path = tmp_path / "snapshot.json" + first_snapshot.write_json(path) + round_tripped = read_snapshot(path) + assert round_tripped.to_jsonable() == first_snapshot.to_jsonable() + frames = first_snapshot.to_pandas() + assert {"functions", "rows", "classes", "nodes", "root"} <= set(frames) + assert sum(len(frame.index) for frame in frames.values()) > 0 + + +def test_snapshot_adapter_records_num_class_analysis_and_best_expr() -> None: + expr = parse_expression("2 - 2") + egraph = EGraph(expr) + egraph.run(analysis_schedule.saturate()) + + snapshot = build_egglog_snapshot( + egraph, + root=expr, + metadata={"system": "egglog", "case_id": "unit", "step": "outer_1_pass_start"}, + ) + + class_rows = snapshot.tables["classes"] + assert class_rows + assert any(row["analysis"] == {"kind": "some", "value": 0.0} for row in class_rows) + assert all("best_expr" in row for row in class_rows) + assert all("signature" in row for row in class_rows) + + +def test_snapshot_adapter_prefers_concrete_optional_analysis_over_join_wrappers() -> None: + expr = parse_expression("((0 * x0) * ((x0 * x0) + 1))") + egraph = EGraph() + egraph.register(expr) + scheduler = egraph._add_backoff_scheduler( + match_limit=2500, + ban_length=30, + egg_like=True, + ) + egraph.run(analysis_schedule.saturate()) + from egglog.exp.param_eq.pipeline import literal_rewrite_ruleset + + egraph._run_ruleset_with_scheduler(literal_rewrite_ruleset, scheduler) + egraph.run(analysis_schedule.saturate()) + + snapshot = build_egglog_snapshot( + egraph, + root=expr, + metadata={"system": "egglog", "case_id": "unit", "step": "outer_1_inner_1_after_analysis"}, + ) + + assert all( + isinstance(row["analysis"], dict) and row["analysis"].get("kind") != "raw" + for row in snapshot.tables["classes"] + ) + + +def test_egglog_step_tracer_emits_expected_checkpoints(tmp_path) -> None: + result = trace_egglog_case(case_id="unit_trace_case", source="x0 + 1", output_root=tmp_path) + + step_names = [path.stem for path in result.step_paths] + assert step_names[0] == "outer_1_pass_start" + assert any(name.startswith("outer_1_inner_1_after_rewrite") for name in step_names) + assert any(name.startswith("outer_1_inner_1_after_analysis") for name in step_names) + assert "outer_1_extract" in step_names + assert "final_simplify_e" in step_names + + +@pytest.mark.skipif(not haskell_trace_available(), reason="requires local param-eq-haskell checkout and stack") +def test_haskell_trace_driver_emits_expected_checkpoints(tmp_path) -> None: + result = trace_haskell_case(case_id="unit_trace_case", source="x0 + 1", output_root=tmp_path) + + step_names = [path.stem for path in result.step_paths] + assert "outer_1_pass_start" in step_names + assert any(name.startswith("outer_1_inner_1_after_rebuild") for name in step_names) + assert "outer_1_extract" in step_names + assert "final_simplify_e" in step_names + + +def test_comparator_reports_no_difference_for_identical_snapshots() -> None: + snapshot = SnapshotTables( + metadata={ + "system": "egglog", + "case_id": "unit", + "step": "outer_1_extract", + "root_analysis": {"kind": "none", "value": None}, + "class_count": 1, + "node_count": 1, + "memo_size": 0, + }, + tables={ + "functions": [], + "rows": [], + "classes": [ + { + "class_id": "c0", + "type": "egglog.exp.param_eq.pipeline.Num", + "node_count": 1, + "analysis": {"kind": "none", "value": None}, + "best_expr": "1.0", + "best_cost": 1, + "signature": "none|best:1.0|Const(1.0)", + } + ], + "nodes": [ + {"node_id": "n0", "class_id": "c0", "op": "Num", "children": ["p0"], "cost": 1.0, "subsumed": False}, + {"node_id": "p0", "class_id": "f64-0", "op": "1.0", "children": [], "cost": 1.0, "subsumed": False}, + ], + "root": [{"extracted_expr": "1.0", "root_analysis": {"kind": "none", "value": None}}], + }, + ) + identical = SnapshotTables( + metadata={ + "system": "egglog", + "case_id": "unit", + "step": "outer_1_extract", + "root_analysis": {"kind": "none", "value": None}, + "class_count": 1, + "node_count": 1, + "memo_size": 0, + }, + tables=snapshot.tables, + ) + + assert _compare_snapshots(snapshot, identical) is None + + +@pytest.mark.skipif(not haskell_trace_available(), reason="requires local param-eq-haskell checkout and stack") +def test_reduced_toy_comparison_reports_a_first_differing_step(tmp_path) -> None: + summary = trace_and_compare_case( + case_id=REDUCED_TOY_CASE_ID, + source=REDUCED_TOY_SOURCE, + trace_root=tmp_path, + ) + + assert summary.first_differing_step is not None + assert summary.first_differing_step.startswith("outer_1_") + assert summary.first_differing_aspect is not None + assert summary.likely_phase in {"rewrite", "analysis"} + + +@pytest.mark.skipif(not haskell_trace_available(), reason="requires local param-eq-haskell checkout and stack") +def test_reduced_toy_comparison_can_ignore_extraction_differences(tmp_path) -> None: + trace_and_compare_case( + case_id=REDUCED_TOY_CASE_ID, + source=REDUCED_TOY_SOURCE, + trace_root=tmp_path, + ) + summary = compare_case_traces( + REDUCED_TOY_CASE_ID, + trace_root=tmp_path, + ignored_aspects=frozenset({"root_extracted_expr", "class_best_expr"}), + ) + + assert summary.first_differing_step is not None + assert summary.first_differing_aspect not in {"root_extracted_expr", "class_best_expr"} + assert summary.likely_phase in {"rewrite", "analysis"} + diff --git a/python/egglog/exp/param_eq/trace_egglog.py b/python/egglog/exp/param_eq/trace_egglog.py new file mode 100644 index 00000000..dc19cc65 --- /dev/null +++ b/python/egglog/exp/param_eq/trace_egglog.py @@ -0,0 +1,183 @@ +"""Stepwise Egglog tracing for the retained param-eq Haskell-literal schedule.""" + +from __future__ import annotations + +from dataclasses import dataclass +from pathlib import Path + +from egglog import EGraph +from egglog.exp.param_eq.paths import PARAM_EQ_DIR +from egglog.exp.param_eq.pipeline import ( + BACKOFF_BAN_LENGTH, + BACKOFF_MATCH_LIMIT, + HASKELL_INNER_ITERATION_LIMIT, + MAX_PASSES, + _serialized_counts, + analysis_schedule, + literal_rewrite_ruleset, + parse_expression, + render_num, +) +from egglog.exp.param_eq.trace_tables import SnapshotTables, build_egglog_snapshot + +TRACE_ROOT = PARAM_EQ_DIR / "trace" + + +@dataclass(frozen=True) +class TraceResult: + """Filesystem outputs for one traced system and case.""" + + system: str + case_id: str + output_dir: Path + step_paths: list[Path] + final_rendered: str + + +def trace_egglog_case( + *, + case_id: str, + source: str, + output_root: Path = TRACE_ROOT, +) -> TraceResult: + """Trace the literal Haskell-style Egglog schedule step by step.""" + current = parse_expression(source) + output_dir = output_root / case_id / "egglog" + output_dir.mkdir(parents=True, exist_ok=True) + + step_paths: list[Path] = [] + for outer_pass in range(1, MAX_PASSES + 1): + egraph = EGraph() + egraph.register(current) + scheduler = egraph._add_backoff_scheduler( + match_limit=BACKOFF_MATCH_LIMIT, + ban_length=BACKOFF_BAN_LENGTH, + egg_like=True, + haskell_backoff=True, + ) + start_path = output_dir / f"outer_{outer_pass}_pass_start.json" + build_egglog_snapshot( + egraph, + root=current, + metadata={ + "system": "egglog", + "case_id": case_id, + "step": f"outer_{outer_pass}_pass_start", + "outer_pass": outer_pass, + "phase": "start", + "source": source, + "pass_input_expr": render_num(current), + }, + ).write_json(start_path) + step_paths.append(start_path) + + previous_counts = _serialized_counts(egraph) + for inner_iteration in range(1, HASKELL_INNER_ITERATION_LIMIT + 1): + rewrite_report = egraph._run_ruleset_with_scheduler(literal_rewrite_ruleset, scheduler) + rewrite_path = output_dir / f"outer_{outer_pass}_inner_{inner_iteration}_after_rewrite.json" + build_egglog_snapshot( + egraph, + root=current, + metadata={ + "system": "egglog", + "case_id": case_id, + "step": f"outer_{outer_pass}_inner_{inner_iteration}_after_rewrite", + "outer_pass": outer_pass, + "inner_iteration": inner_iteration, + "phase": "rewrite", + "source": source, + "pass_input_expr": render_num(current), + "rewrite_updated": rewrite_report.updated, + "rewrite_can_stop": rewrite_report.can_stop, + }, + ).write_json(rewrite_path) + step_paths.append(rewrite_path) + + analysis_report = egraph.run(analysis_schedule.saturate()) + analysis_snapshot = build_egglog_snapshot( + egraph, + root=current, + metadata={}, + ) + node_count = analysis_snapshot.metadata["node_count"] + class_count = analysis_snapshot.metadata["class_count"] + assert isinstance(node_count, int) + assert isinstance(class_count, int) + current_counts = ( + node_count, + class_count, + ) + size_stable = current_counts == previous_counts + analysis_path = output_dir / f"outer_{outer_pass}_inner_{inner_iteration}_after_analysis.json" + analysis_snapshot.metadata.update( + { + "system": "egglog", + "case_id": case_id, + "step": f"outer_{outer_pass}_inner_{inner_iteration}_after_analysis", + "outer_pass": outer_pass, + "inner_iteration": inner_iteration, + "phase": "analysis", + "source": source, + "pass_input_expr": render_num(current), + "rewrite_updated": rewrite_report.updated, + "analysis_updated": analysis_report.updated, + "size_stable": size_stable, + "rewrite_can_stop": rewrite_report.can_stop, + "analysis_can_stop": analysis_report.can_stop, + } + ) + analysis_snapshot.write_json(analysis_path) + step_paths.append(analysis_path) + if size_stable: + break + previous_counts = current_counts + + extract_path = output_dir / f"outer_{outer_pass}_extract.json" + snapshot = build_egglog_snapshot( + egraph, + root=current, + metadata={ + "system": "egglog", + "case_id": case_id, + "step": f"outer_{outer_pass}_extract", + "outer_pass": outer_pass, + "phase": "extraction", + "source": source, + "pass_input_expr": render_num(current), + }, + ) + snapshot.write_json(extract_path) + step_paths.append(extract_path) + extracted_expr = str(snapshot.metadata["root_extracted_expr"]) + if extracted_expr == render_num(current): + current = parse_expression(extracted_expr) + break + current = parse_expression(extracted_expr) + + final_snapshot = SnapshotTables( + metadata={ + "system": "egglog", + "case_id": case_id, + "step": "final_simplify_e", + "phase": "extraction", + "source": source, + "final_rendered": render_num(current), + }, + tables={ + "root": [ + { + "extracted_expr": render_num(current), + } + ], + }, + ) + final_path = output_dir / "final_simplify_e.json" + final_snapshot.write_json(final_path) + step_paths.append(final_path) + return TraceResult( + system="egglog", + case_id=case_id, + output_dir=output_dir, + step_paths=step_paths, + final_rendered=render_num(current), + ) diff --git a/python/egglog/exp/param_eq/trace_haskell.py b/python/egglog/exp/param_eq/trace_haskell.py new file mode 100644 index 00000000..8f18ff5a --- /dev/null +++ b/python/egglog/exp/param_eq/trace_haskell.py @@ -0,0 +1,312 @@ +"""Stepwise Haskell tracing for the retained param-eq replication cases.""" + +from __future__ import annotations + +import os +import shutil +import subprocess +import tempfile +from pathlib import Path + +from egglog.exp.param_eq.generate_haskell_golden import _canonicalize, _parse_analysis, _source_to_haskell_expr +from egglog.exp.param_eq.paths import llvm_bin_dir, param_eq_data_dir +from egglog.exp.param_eq.trace_egglog import TRACE_ROOT, TraceResult +from egglog.exp.param_eq.trace_tables import JsonValue, SnapshotTables + +HASKELL_ROOT = param_eq_data_dir() + + +def haskell_trace_available() -> bool: + """Return whether the local Haskell tracing prerequisites are present.""" + return HASKELL_ROOT.exists() and shutil.which("stack") is not None + + +def _build_haskell_trace_program(source: str, *, outer_pass: int) -> str: + outer_prefix = f"outer_{outer_pass}" + return "\n".join([ + "{-# LANGUAGE BangPatterns #-}", + "{-# LANGUAGE BlockArguments #-}", + "{-# LANGUAGE FlexibleContexts #-}", + "{-# LANGUAGE LambdaCase #-}", + "{-# LANGUAGE ScopedTypeVariables #-}", + "{-# LANGUAGE TupleSections #-}", + "import Control.Monad ((<=<), forM_, when)", + "import Data.Bifunctor (first)", + "import qualified Data.IntMap.Strict as IM", + "import qualified Data.Set as S", + "import Data.List (intercalate)", + "import Data.SRTree", + "import Data.SRTree.Print", + "import FixTree", + "import qualified Data.Equality.Graph as G", + "import qualified Data.Equality.Graph.Lens as L", + "import Data.Equality.Graph.Lens hiding ((^.))", + "import Data.Equality.Graph.Monad", + "import Data.Equality.Graph.Nodes", + "import Data.Equality.Matching", + "import Data.Equality.Matching.Database", + "import Data.Equality.Extraction", + "import Data.Equality.Language", + "import Data.Equality.Saturation (Fix(..), Rewrite(..))", + "import Data.Equality.Saturation.Scheduler", + "", + f'outerPrefix :: String\nouterPrefix = "{outer_prefix}"', + "", + "sanitize :: String -> String", + "sanitize = map (\\c -> if c == '\\t' || c == '\\n' then ' ' else c)", + "", + "joinFields :: [String] -> String", + 'joinFields = intercalate "\\t" . map sanitize', + "", + "joinChildren :: [String] -> String", + 'joinChildren = intercalate "|" . map sanitize', + "", + "emitSnapshot :: String -> Int -> G.EGraph SRTreeF -> [String]", + "emitSnapshot step root egr =", + " let rootClass = G.find root egr", + " rootData = show (egr L.^. _class rootClass._data)", + " rootExtract = showDefault . relabelParams . toSRTree $ extractBest egr cost2 rootClass", + " classPairs = IM.toAscList (egr L.^. _classes)", + " nodeCount = sum [S.size (cls L.^. _nodes) | (_, cls) <- classPairs]", + " memoCount = sizeNM (egr L.^. _memo)", + ' metaLine = joinFields ["META", step, show rootClass, rootData, show (length classPairs), show nodeCount, show memoCount]', + ' rootLine = joinFields ["ROOT", step, show rootClass, rootData, rootExtract]', + " classLines =", + ' [ joinFields ["CLASS", step, show cid, show (cls L.^. _data), showDefault . relabelParams . toSRTree $ extractBest egr cost2 cid, show (S.size (cls L.^. _nodes))]', + " | (cid, cls) <- classPairs", + " ]", + " nodeLines =", + ' [ joinFields ["NODE", step, show cid, show node, show (operator node), joinChildren (map show (children node))]', + " | (cid, cls) <- classPairs", + " , node <- S.toList (cls L.^. _nodes)", + " ]", + ' memoLines = foldrWithKeyNM\' (\\node cid acc -> joinFields ["MEMO", step, show node, show cid] : acc) [] (egr L.^. _memo)', + " in metaLine : rootLine : classLines <> nodeLines <> memoLines", + "", + "scheduler :: BackoffScheduler", + "scheduler = BackoffScheduler 2500 30", + "", + "rewrites :: [Rewrite SRTreeF]", + "rewrites = rewritesBasic <> rewritesFun", + "", + "matchWithScheduler :: Database SRTreeF -> Int -> IM.IntMap (Stat BackoffScheduler) -> (Int, Rewrite SRTreeF) -> ([(Rewrite SRTreeF, Match)], IM.IntMap (Stat BackoffScheduler))", + "matchWithScheduler db i stats = \\case", + " (rwId, rw :| cnd) -> first (map (first (:| cnd))) $ matchWithScheduler db i stats (rwId, rw)", + " (rwId, lhs := rhs) ->", + " case IM.lookup rwId stats of", + " Just s | isBanned i s -> ([], stats)", + " x ->", + " let matches' = ematch db lhs", + " newStats = updateStats scheduler i rwId x stats matches'", + " in (map (lhs := rhs,) matches', newStats)", + "", + "applyMatchesRhs :: (Rewrite SRTreeF, Match) -> EGraphM SRTreeF ()", + "applyMatchesRhs = \\case", + " (rw :| cond, m@(Match subst _)) -> do", + " egr <- get", + " when (cond subst egr) $ applyMatchesRhs (rw, m)", + " (_ := VariablePattern v, Match subst eclass) ->", + " case IM.lookup v subst of", + ' Nothing -> error "impossible: couldn\'t find v in subst"', + " Just n -> do", + " _ <- merge n eclass", + " pure ()", + " (_ := NonVariablePattern rhs, Match subst eclass) -> do", + " eclass' <- reprPat subst rhs", + " _ <- merge eclass eclass'", + " pure ()", + "", + "reprPat :: Subst -> SRTreeF (Pattern SRTreeF) -> EGraphM SRTreeF Int", + "reprPat subst = add . Node <=< traverse \\case", + " VariablePattern v ->", + " case IM.lookup v subst of", + ' Nothing -> error "impossible: couldn\'t find v in subst?"', + " Just i -> pure i", + " NonVariablePattern p -> reprPat subst p", + "", + "traceLoop :: Int -> Int -> IM.IntMap (Stat BackoffScheduler) -> EGraphM SRTreeF [String]", + "traceLoop root i stats", + " | i > 30 = pure []", + " | otherwise = do", + " egr <- get", + " let (beforeMemo, beforeClasses) = (egr L.^. _memo, egr L.^. _classes)", + " db = eGraphToDatabase egr", + " (!matches, newStats) = mconcat (fmap (matchWithScheduler db i stats) (zip [1..] rewrites))", + " forM_ matches applyMatchesRhs", + " rebuild", + ' snapshot <- gets (emitSnapshot (outerPrefix <> "_inner_" <> show i <> "_after_rebuild") root)', + " (afterMemo, afterClasses) <- gets (\\g -> (g L.^. _memo, g L.^. _classes))", + " if sizeNM afterMemo == sizeNM beforeMemo && IM.size afterClasses == IM.size beforeClasses", + " then pure snapshot", + " else do", + " rest <- traceLoop root (i + 1) newStats", + " pure (snapshot <> rest)", + "", + "main :: IO ()", + "main = do", + f" let expr = toFixTree ({_source_to_haskell_expr(source)})", + " ((_, rows), _) = egraph $ do", + " root <- represent expr", + ' startRows <- gets (emitSnapshot (outerPrefix <> "_pass_start") root)', + " loopRows <- traceLoop root 1 mempty", + ' extractRows <- gets (emitSnapshot (outerPrefix <> "_extract") root)', + " pure (root, startRows <> loopRows <> extractRows)", + " mapM_ putStrLn rows", + "", + ]) + + +def _run_haskell_trace_pass(source: str, *, outer_pass: int) -> str: + program = _build_haskell_trace_program(source, outer_pass=outer_pass) + with tempfile.NamedTemporaryFile("w", suffix=".hs", delete=False) as handle: + handle.write(program) + temp_path = Path(handle.name) + try: + stack = shutil.which("stack") + if stack is None: + msg = "stack is required for Haskell tracing" + raise RuntimeError(msg) + env = dict(os.environ) + llvm_bin = llvm_bin_dir() + if llvm_bin is not None: + env["PATH"] = f"{llvm_bin}:{env['PATH']}" + return subprocess.check_output( + [stack, "exec", "--", "runghc", "-isrc", str(temp_path)], + cwd=HASKELL_ROOT, + env=env, + text=True, + timeout=300, + ) + finally: + temp_path.unlink(missing_ok=True) + + +def _rows_to_snapshots( + output: str, + *, + case_id: str, + source: str, +) -> dict[str, SnapshotTables]: + grouped: dict[str, dict[str, list[dict[str, JsonValue]]]] = {} + metadata_by_step: dict[str, dict[str, JsonValue]] = {} + for raw_line in output.splitlines(): + record = raw_line.split("\t") + kind, step = record[0], record[1] + grouped.setdefault(step, {"classes": [], "nodes": [], "memo": [], "root": [], "functions": [], "rows": []}) + metadata = metadata_by_step.setdefault( + step, + { + "system": "haskell", + "case_id": case_id, + "step": step, + "source": source, + }, + ) + if kind == "META": + metadata["root_class_id"] = record[2] + metadata["root_analysis"] = _parse_analysis(record[3]) + metadata["class_count"] = int(record[4]) + metadata["node_count"] = int(record[5]) + metadata["memo_size"] = int(record[6]) + continue + if kind == "ROOT": + root_expr = _canonicalize(record[4]) + analysis = _parse_analysis(record[3]) + metadata["root_class_id"] = record[2] + metadata["root_analysis"] = analysis + metadata["root_extracted_expr"] = root_expr + grouped[step]["root"].append({ + "root_class_id": record[2], + "root_analysis": analysis, + "extracted_expr": root_expr, + }) + continue + if kind == "CLASS": + grouped[step]["classes"].append({ + "class_id": record[2], + "analysis": _parse_analysis(record[3]), + "best_expr": _canonicalize(record[4]), + "node_count": int(record[5]), + }) + continue + if kind == "NODE": + grouped[step]["nodes"].append({ + "class_id": record[2], + "node_repr": record[3], + "op": record[4], + "children": [] if not record[5] else record[5].split("|"), + }) + continue + if kind == "MEMO": + grouped[step]["memo"].append({ + "node_repr": record[2], + "class_id": record[3], + }) + continue + msg = f"Unexpected Haskell trace line: {raw_line!r}" + raise ValueError(msg) + return {step: SnapshotTables(metadata=metadata_by_step[step], tables=tables) for step, tables in grouped.items()} + + +def trace_haskell_case( + *, + case_id: str, + source: str, + output_root: Path = TRACE_ROOT, +) -> TraceResult: + """Trace Haskell `rewriteTree`/`simplifyE` one pass at a time.""" + if not haskell_trace_available(): + msg = "Haskell tracing requires stack and a checked-out param-eq-haskell tree" + raise RuntimeError(msg) + + output_dir = output_root / case_id / "haskell" + output_dir.mkdir(parents=True, exist_ok=True) + step_paths: list[Path] = [] + current_source = source + final_rendered = source + for outer_pass in range(1, 3): + snapshots = _rows_to_snapshots( + _run_haskell_trace_pass(current_source, outer_pass=outer_pass), + case_id=case_id, + source=source, + ) + for step_name, snapshot in snapshots.items(): + step_path = output_dir / f"{step_name}.json" + snapshot.write_json(step_path) + step_paths.append(step_path) + extract_snapshot = snapshots[f"outer_{outer_pass}_extract"] + extract_rows = extract_snapshot.tables["root"] + assert extract_rows + final_rendered = str(extract_rows[0]["extracted_expr"]) + if final_rendered == _canonicalize(current_source): + current_source = final_rendered + break + current_source = final_rendered + + final_snapshot = SnapshotTables( + metadata={ + "system": "haskell", + "case_id": case_id, + "step": "final_simplify_e", + "phase": "extraction", + "source": source, + "final_rendered": final_rendered, + }, + tables={ + "root": [ + { + "extracted_expr": final_rendered, + } + ], + }, + ) + final_path = output_dir / "final_simplify_e.json" + final_snapshot.write_json(final_path) + step_paths.append(final_path) + return TraceResult( + system="haskell", + case_id=case_id, + output_dir=output_dir, + step_paths=step_paths, + final_rendered=final_rendered, + ) diff --git a/python/egglog/exp/param_eq/trace_tables.py b/python/egglog/exp/param_eq/trace_tables.py new file mode 100644 index 00000000..1720918c --- /dev/null +++ b/python/egglog/exp/param_eq/trace_tables.py @@ -0,0 +1,351 @@ +"""Local e-graph snapshot helpers for stepwise param-eq trace comparisons.""" + +from __future__ import annotations + +import json +from dataclasses import dataclass +from pathlib import Path +from typing import Any, TypeAlias, cast + +import pandas as pd + +from egglog import EGraph, bindings +from egglog.declarations import ( + CallDecl, + ClassMethodRef, + ClassVariableRef, + FunctionRef, + InitRef, + LitDecl, + MethodRef, + TypedExprDecl, + ValueDecl, +) +from egglog.pretty import JustTypeRef +from egglog.egraph import _CostModel, default_cost_model +from egglog.exp.param_eq.pipeline import Num, const_value, render_num + +JsonValue: TypeAlias = object + +NUM_SORT = "egglog.exp.param_eq.pipeline.Num" +OPTIONAL_F64_SORT = "OptionalF64" + + +@dataclass(frozen=True) +class SnapshotTables: + """One trace snapshot serialized as metadata plus table-shaped records.""" + + metadata: dict[str, JsonValue] + tables: dict[str, list[dict[str, JsonValue]]] + + def to_pandas(self) -> dict[str, pd.DataFrame]: + """Return the stored table records as pandas data frames.""" + return {name: pd.DataFrame(rows) for name, rows in self.tables.items()} + + def to_jsonable(self) -> dict[str, JsonValue]: + """Return a JSON-serializable payload.""" + return { + "metadata": self.metadata, + "tables": self.tables, + } + + def write_json(self, path: Path) -> None: + """Write the snapshot payload to one JSON file.""" + path.parent.mkdir(parents=True, exist_ok=True) + path.write_text(json.dumps(self.to_jsonable(), indent=2, sort_keys=False) + "\n") + + +def _analysis_to_json(text: str) -> dict[str, JsonValue]: + if text in {"Nothing", "OptionalF64.none"}: + return {"kind": "none", "value": None} + if text.startswith("Just "): + value_text = text.removeprefix("Just ").strip() + elif text.startswith("OptionalF64.some(") and text.endswith(")"): + value_text = text.removeprefix("OptionalF64.some(")[:-1].strip() + else: + return {"kind": "raw", "value": text} + return {"kind": "some", "value": float(value_text)} + + +def _analysis_key(value: object) -> str: + if isinstance(value, dict): + kind = value.get("kind") + if kind == "none": + return "none" + if kind == "some": + return f"some:{float(value['value']):.12g}" + return json.dumps(value, sort_keys=True) + + +def _canonical_numeric(value: object) -> str: + text = str(value).strip() + if text.startswith("(") and text.endswith(")"): + text = text[1:-1].strip() + try: + return str(float(text)) + except ValueError: + return text + + +def _optional_exprs_to_analysis(exprs: tuple[CallDecl, ...]) -> dict[str, JsonValue]: + if not exprs: + return {"kind": "raw", "value": "[]"} + raw_fallback = str(exprs[0]) + for expr in exprs: + match expr: + case CallDecl(callable=ClassVariableRef(var_name="none"), args=()): + return {"kind": "none", "value": None} + case CallDecl(callable=ClassMethodRef(method_name="some"), args=(TypedExprDecl(expr=LitDecl(value=value)),)): + if isinstance(value, (int, float, str)) and not isinstance(value, bool): + return {"kind": "some", "value": float(value)} + return {"kind": "raw", "value": raw_fallback} + + +def _extract_best_by_value(egraph: EGraph, *, value: bindings.Value, tp: JustTypeRef) -> tuple[str, int]: + egg_sort = egraph._state.type_ref_to_egg(tp) + cost_model = _CostModel(default_cost_model, egraph).to_bindings_cost_model() + extractor = cast(Any, bindings.Extractor([egg_sort], egraph._state.egraph, cost_model)) + termdag = bindings.TermDag() + cost, term = extractor.extract_best(egraph._state.egraph, termdag, value, egg_sort) + extracted = egraph._from_termdag(termdag, term, tp) + return render_num(extracted), int(cost) + + +def _num_class_signatures( + *, + num_exprs_by_value: dict[str, tuple[CallDecl, ...]], + num_analysis_by_value: dict[str, dict[str, JsonValue]], + num_best_by_value: dict[str, str], +) -> tuple[dict[str, str], dict[str, str]]: + cache: dict[str, str] = {} + semantic_cache: dict[str, str] = {} + active: set[str] = set() + + def class_signature(class_id: str, *, include_best_expr: bool) -> str: + current_cache = cache if include_best_expr else semantic_cache + if class_id in current_cache: + return current_cache[class_id] + if class_id in active: + return f"Cycle({class_id})" + active.add(class_id) + exprs = num_exprs_by_value[class_id] + analysis = num_analysis_by_value.get(class_id, {"kind": "none", "value": None}) + members = sorted(member_signature(expr, include_best_expr=include_best_expr) for expr in exprs) + prefix = f"{_analysis_key(analysis)}|" + if include_best_expr: + best_expr = num_best_by_value.get(class_id, "") + prefix = f"{prefix}best:{best_expr}|" + signature = f"{prefix}{'||'.join(members)}" + current_cache[class_id] = signature + active.remove(class_id) + return signature + + def arg_signature(arg: TypedExprDecl) -> str: + match arg.expr: + case ValueDecl(value): + return class_signature(str(value), include_best_expr=current_include_best_expr) + case LitDecl(value): + if isinstance(value, str): + return f'"{value}"' + return _canonical_numeric(value) + case CallDecl() as call: + return member_signature(call, include_best_expr=current_include_best_expr) + case _: + return str(arg.expr) + + def member_signature(call: CallDecl, *, include_best_expr: bool) -> str: # noqa: C901, PLR0911 + match call.callable: + case InitRef(ident=ident) if ident.name == "Num": + return f"Const({arg_signature(call.args[0])})" + case ClassMethodRef(ident=ident, method_name="var") if ident.name == "Num": + return f"Var({arg_signature(call.args[0]).strip('\"')})" + case MethodRef(ident=ident, method_name="__add__") if ident.name == "Num": + return f"Add({arg_signature(call.args[0])},{arg_signature(call.args[1])})" + case MethodRef(ident=ident, method_name="__sub__") if ident.name == "Num": + return f"Sub({arg_signature(call.args[0])},{arg_signature(call.args[1])})" + case MethodRef(ident=ident, method_name="__mul__") if ident.name == "Num": + return f"Mul({arg_signature(call.args[0])},{arg_signature(call.args[1])})" + case MethodRef(ident=ident, method_name="__truediv__") if ident.name == "Num": + return f"Div({arg_signature(call.args[0])},{arg_signature(call.args[1])})" + case MethodRef(ident=ident, method_name="__pow__") if ident.name == "Num": + return f"Pow({arg_signature(call.args[0])},{arg_signature(call.args[1])})" + case MethodRef(ident=ident, method_name="exp") if ident.name == "Num": + return f"Exp({arg_signature(call.args[0])})" + case MethodRef(ident=ident, method_name="log") if ident.name == "Num": + return f"Log({arg_signature(call.args[0])})" + case MethodRef(ident=ident, method_name="sqrt") if ident.name == "Num": + return f"Sqrt({arg_signature(call.args[0])})" + case MethodRef(ident=ident, method_name="__abs__") if ident.name == "Num": + return f"Abs({arg_signature(call.args[0])})" + case _: + callable_name = ( + call.callable.method_name + if isinstance(call.callable, (MethodRef, ClassMethodRef)) + else call.callable.ident.name + if hasattr(call.callable, "ident") + else str(call.callable) + ) + return f"{callable_name}({','.join(arg_signature(arg) for arg in call.args)})" + + current_include_best_expr = True + with_best = {} + for class_id in sorted(num_exprs_by_value): + current_include_best_expr = True + with_best[class_id] = class_signature(class_id, include_best_expr=True) + without_best = {} + for class_id in sorted(num_exprs_by_value): + current_include_best_expr = False + without_best[class_id] = class_signature(class_id, include_best_expr=False) + return ( + with_best, + without_best, + ) + + +def build_egglog_snapshot( + egraph: EGraph, + *, + root: Num, + metadata: dict[str, JsonValue], +) -> SnapshotTables: + """Build a comparable local trace snapshot from an Egglog e-graph.""" + frozen = egraph._egraph.freeze() + frozen_decl = egraph.freeze().decl + payload = json.loads(egraph._serialize().to_json()) + + functions: list[dict[str, JsonValue]] = [] + rows: list[dict[str, JsonValue]] = [] + for function_name, function in frozen.functions.items(): + input_sorts = [str(sort) for sort in function.input_sorts] + functions.append({ + "function_name": function_name, + "input_sorts": input_sorts, + "output_sort": function.output_sort, + "is_let_binding": function.is_let_binding, + "row_count": len(function.rows), + }) + for row_index, row in enumerate(function.rows, start=1): + rows.append({ + "function_name": function_name, + "row_index": row_index, + "subsumed": row.subsumed, + "inputs": [str(value) for value in row.inputs], + "output": str(row.output), + }) + + node_counts_by_class: dict[str, int] = {} + for node in payload.get("nodes", {}).values(): + eclass = str(node["eclass"]) + node_counts_by_class[eclass] = node_counts_by_class.get(eclass, 0) + 1 + + optional_analysis_by_value = { + str(value): _optional_exprs_to_analysis(exprs) + for value, (tp, exprs) in frozen_decl.e_classes.items() + if str(tp) == OPTIONAL_F64_SORT + } + num_analysis_by_value: dict[str, dict[str, JsonValue]] = {} + for call, out in frozen_decl.sets.items(): + match call: + case CallDecl( + callable=FunctionRef(ident=ident), + args=(TypedExprDecl(expr=ValueDecl(value=num_value)),), + ) if ident.name == "const_value": + match out.expr: + case ValueDecl(value=analysis_value): + num_analysis_by_value[str(num_value)] = optional_analysis_by_value.get( + str(analysis_value), + {"kind": "raw", "value": str(out)}, + ) + case _: + num_analysis_by_value[str(num_value)] = {"kind": "raw", "value": str(out)} + + num_exprs_by_value = { + str(value): exprs + for value, (tp, exprs) in frozen_decl.e_classes.items() + if str(tp) == "Num" + } + num_best_by_value: dict[str, str] = {} + num_cost_by_value: dict[str, int] = {} + for value, (tp, _) in frozen_decl.e_classes.items(): + if str(tp) != "Num": + continue + best_expr, best_cost = _extract_best_by_value(egraph, value=value, tp=tp) + num_best_by_value[str(value)] = best_expr + num_cost_by_value[str(value)] = best_cost + num_signatures_by_value, num_semantic_signatures_by_value = _num_class_signatures( + num_exprs_by_value=num_exprs_by_value, + num_analysis_by_value=num_analysis_by_value, + num_best_by_value=num_best_by_value, + ) + + classes = [ + { + "class_id": str(value), + "type": str(tp), + "node_count": len(exprs), + "analysis": num_analysis_by_value.get(str(value), {"kind": "none", "value": None}), + "best_expr": num_best_by_value[str(value)], + "best_cost": num_cost_by_value[str(value)], + "semantic_signature": num_semantic_signatures_by_value[str(value)], + "signature": num_signatures_by_value[str(value)], + } + for value, (tp, exprs) in frozen_decl.e_classes.items() + if str(tp) == "Num" + ] + + nodes = [ + { + "node_id": node_id, + "class_id": str(node["eclass"]), + "op": str(node["op"]), + "children": [str(child) for child in node.get("children", [])], + "cost": float(node["cost"]), + "subsumed": bool(node["subsumed"]), + } + for node_id, node in payload.get("nodes", {}).items() + ] + + extracted, extracted_cost = egraph.extract(root, include_cost=True) + try: + root_analysis = str(egraph.extract(const_value(root))) + except Exception: + root_analysis = "OptionalF64.none" + root_rows = [ + { + "root_expr": render_num(root), + "extracted_expr": render_num(extracted), + "extracted_cost": int(extracted_cost), + "root_analysis": _analysis_to_json(root_analysis), + } + ] + + snapshot_metadata = { + **metadata, + "class_count": len(classes), + "node_count": sum(cast(int, class_row["node_count"]) for class_row in classes), + "serialized_class_count": len(payload.get("class_data", {})), + "serialized_node_count": len(payload.get("nodes", {})), + "root_analysis": _analysis_to_json(root_analysis), + "root_extracted_expr": render_num(extracted), + "root_extracted_cost": int(extracted_cost), + } + return SnapshotTables( + metadata=snapshot_metadata, + tables={ + "functions": functions, + "rows": rows, + "classes": classes, + "nodes": nodes, + "root": root_rows, + }, + ) + + +def read_snapshot(path: Path) -> SnapshotTables: + """Read one snapshot JSON file back into the local data class.""" + payload = json.loads(path.read_text()) + metadata = payload["metadata"] + tables = payload["tables"] + assert isinstance(metadata, dict) + assert isinstance(tables, dict) + return SnapshotTables(metadata=metadata, tables=tables) diff --git a/python/tests/test_high_level.py b/python/tests/test_high_level.py index 3858c54d..00c4b0d5 100644 --- a/python/tests/test_high_level.py +++ b/python/tests/test_high_level.py @@ -1261,6 +1261,80 @@ def _run_and_collect(*, egg_like: bool) -> set[int]: assert _run_and_collect(egg_like=False) == {0, 1, 2} assert _run_and_collect(egg_like=True) == {0, 1, 2, 3} + def test_bound_scheduler_handle_reuses_state_across_runs(self): + r = relation("R", i64) + s = relation("S", i64) + seed = relation("Seed") + x = var("x", i64) + + copy = ruleset(rule(r(x)).then(s(x)), name="copy") + grow = ruleset(rule(seed()).then(r(i64(3))), name="grow") + + def _run_and_collect(*, egg_like: bool) -> set[int]: + egraph = EGraph() + egraph.register(r(i64(0)), r(i64(1)), r(i64(2)), seed()) + scheduler = egraph._add_backoff_scheduler(match_limit=2, ban_length=2, egg_like=egg_like) + egraph._run_ruleset_with_scheduler(copy, scheduler) + egraph.run(run(grow)) + egraph._run_ruleset_with_scheduler(copy, scheduler) + values = set() + for i in range(4): + try: + egraph.check(s(i64(i))) + values.add(i) + except EggSmolError: + pass + return values + + assert _run_and_collect(egg_like=False) == {0, 1, 2} + assert _run_and_collect(egg_like=True) == {0, 1, 2, 3} + + def test_bound_scheduler_handle_haskell_backoff_counts_tuple_width(self): + src = relation("src", i64, i64, i64) + dst = relation("dst", i64, i64, i64) + x = var("x", i64) + y = var("y", i64) + z = var("z", i64) + + copy = ruleset(rule(src(x, y, z)).then(dst(x, y, z))) + + def _run_and_collect(*, haskell_backoff: bool) -> set[int]: + egraph = EGraph() + egraph.register(src(i64(1), i64(2), i64(3))) + scheduler = egraph._add_backoff_scheduler( + match_limit=2, + ban_length=2, + egg_like=False, + haskell_backoff=haskell_backoff, + ) + egraph._run_ruleset_with_scheduler(copy, scheduler) + values = set() + for i in range(3): + try: + egraph.check(dst(i64(1), i64(2), i64(3))) + values.add(i) + except EggSmolError: + pass + return values + + assert _run_and_collect(haskell_backoff=False) == {0, 1, 2} + assert _run_and_collect(haskell_backoff=True) == set() + + def test_bound_scheduler_handle_is_scoped_to_one_egraph(self): + rel = relation("rel", i64) + x = var("x", i64) + noop = ruleset(rule(rel(x)).then(rel(x))) + + first = EGraph() + first.register(rel(i64(1))) + scheduler = first._add_backoff_scheduler(match_limit=1, ban_length=1, egg_like=True) + + second = EGraph() + second.register(rel(i64(1))) + + with pytest.raises(RuntimeError, match="different EGraph"): + second._run_ruleset_with_scheduler(noop, scheduler) + def test_custom_scheduler_invalid_until(self): """ Custom schedulers do not support equality facts in :until, diff --git a/src/egraph.rs b/src/egraph.rs index 4cad3d30..a7796e1a 100644 --- a/src/egraph.rs +++ b/src/egraph.rs @@ -4,6 +4,9 @@ use crate::conversions::*; use crate::error::{EggResult, WrappedError}; use crate::freeze::FrozenEGraph; use crate::py_object_sort::{PyObjectSort, PyPickledValue, load}; +use crate::scheduler_handle::{ + SchedulerHandle, backlog_backoff, fresh_backoff, next_scheduler_owner_id, +}; use crate::serialize::SerializedEGraph; use crate::tracing_otel; @@ -24,6 +27,7 @@ use std::path::PathBuf; pub struct EGraph { pub(crate) egraph: egglog::EGraph, cmds: Option, + owner_id: usize, } #[pymethods] @@ -38,6 +42,7 @@ impl EGraph { Self { egraph, cmds: if record { Some(String::new()) } else { None }, + owner_id: next_scheduler_owner_id(), } } @@ -100,6 +105,53 @@ impl EGraph { self.cmds.clone() } + #[pyo3(signature = (match_limit, ban_length, *, egg_like=false, haskell_backoff=false))] + fn add_backoff_scheduler( + &mut self, + match_limit: usize, + ban_length: usize, + egg_like: bool, + haskell_backoff: bool, + ) -> SchedulerHandle { + let scheduler_id = if egg_like { + self.egraph + .add_fresh_scheduler(fresh_backoff(match_limit, ban_length, haskell_backoff)) + } else { + self.egraph + .add_scheduler(backlog_backoff(match_limit, ban_length, haskell_backoff)) + }; + SchedulerHandle::new(self.owner_id, scheduler_id) + } + + #[pyo3(signature = (ruleset, scheduler, *, traceparent=None, tracestate=None))] + fn run_ruleset_with_scheduler( + &mut self, + py: Python<'_>, + ruleset: &str, + scheduler: &SchedulerHandle, + traceparent: Option, + tracestate: Option, + ) -> EggResult { + if scheduler.owner_id != self.owner_id { + return Err(WrappedError::Py(pyo3::exceptions::PyRuntimeError::new_err( + "SchedulerHandle belongs to a different EGraph", + ))); + } + let _context_guard = + tracing_otel::attach_parent_context(traceparent.as_deref(), tracestate.as_deref()); + let span = tracing::info_span!( + "bindings.run_ruleset_with_scheduler", + ruleset = tracing::field::display(ruleset) + ); + let _entered = span.enter(); + let scheduler_id = scheduler.scheduler_id; + let res = py.detach(|| self.egraph.step_rules_with_scheduler(scheduler_id, ruleset)); + if let Some(err) = PyErr::take(py) { + return Err(WrappedError::Py(err)); + } + res.map(Into::into).map_err(WrappedError::Egglog) + } + /// Serialize the EGraph to a SerializedEGraph object. #[pyo3( signature = (root_eclasses, *, max_functions=None, max_calls_per_function=None, include_temporary_functions=false, traceparent=None, tracestate=None), diff --git a/src/lib.rs b/src/lib.rs index 7590ddc7..69cf01a9 100644 --- a/src/lib.rs +++ b/src/lib.rs @@ -4,6 +4,7 @@ mod error; mod extract; mod freeze; mod py_object_sort; +mod scheduler_handle; mod serialize; mod termdag; mod tracing_otel; @@ -44,6 +45,7 @@ fn bindings(m: &Bound<'_, PyModule>) -> PyResult<()> { m.add_class::()?; m.add_class::()?; + m.add_class::()?; m.add_class::()?; m.add_class::()?; m.add_class::()?; diff --git a/src/scheduler_handle.rs b/src/scheduler_handle.rs new file mode 100644 index 00000000..375ca397 --- /dev/null +++ b/src/scheduler_handle.rs @@ -0,0 +1,233 @@ +use std::collections::HashMap; +use std::sync::atomic::{AtomicUsize, Ordering}; + +use egglog::scheduler::{FreshScheduler, Matches, Scheduler, SchedulerId}; +use log::{debug, info}; +use pyo3::prelude::*; + +static NEXT_SCHEDULER_OWNER_ID: AtomicUsize = AtomicUsize::new(1); + +pub(crate) fn next_scheduler_owner_id() -> usize { + NEXT_SCHEDULER_OWNER_ID.fetch_add(1, Ordering::Relaxed) +} + +#[pyclass(frozen)] +#[derive(Clone)] +pub struct SchedulerHandle { + pub(crate) owner_id: usize, + pub(crate) scheduler_id: SchedulerId, +} + +impl SchedulerHandle { + pub(crate) fn new(owner_id: usize, scheduler_id: SchedulerId) -> Self { + Self { + owner_id, + scheduler_id, + } + } +} + +#[pymethods] +impl SchedulerHandle { + fn __repr__(&self) -> String { + "SchedulerHandle(...)".to_string() + } +} + +pub(crate) fn backlog_backoff( + match_limit: usize, + ban_length: usize, + haskell_backoff: bool, +) -> Box { + Box::new(BackOffScheduler { + state: BackOffState::new(match_limit, ban_length, haskell_backoff), + }) +} + +pub(crate) fn fresh_backoff( + match_limit: usize, + ban_length: usize, + haskell_backoff: bool, +) -> Box { + Box::new(BackOffEggScheduler { + state: BackOffState::new(match_limit, ban_length, haskell_backoff), + }) +} + +#[derive(Debug, Clone)] +struct BackOffState { + default_match_limit: usize, + default_ban_length: usize, + haskell_backoff: bool, + stats: HashMap, +} + +#[derive(Debug, Clone)] +struct RuleStats { + iteration: usize, + times_applied: usize, + banned_until: usize, + times_banned: usize, + match_limit: usize, + ban_length: usize, +} + +impl BackOffState { + fn new(default_match_limit: usize, default_ban_length: usize, haskell_backoff: bool) -> Self { + Self { + default_match_limit, + default_ban_length, + haskell_backoff, + stats: HashMap::new(), + } + } + + fn get_stats(&mut self, rule: String) -> &mut RuleStats { + self.stats.entry(rule).or_insert_with(|| RuleStats { + times_applied: 0, + banned_until: 0, + times_banned: 0, + match_limit: self.default_match_limit, + ban_length: self.default_ban_length, + iteration: 0, + }) + } + + fn can_stop(&mut self, rules: &[&str]) -> bool { + let stats = &mut self.stats; + let n_stats = stats.len(); + + let mut banned: Vec<(&str, RuleStats)> = rules + .iter() + .filter_map(|rule| { + let s = stats.remove(*rule).unwrap(); + if s.banned_until > s.iteration { + Some((*rule, s)) + } else { + None + } + }) + .collect(); + + let result = if banned.is_empty() { + true + } else { + let min_delta = banned + .iter() + .map(|(_, s)| { + assert!(s.banned_until >= s.iteration); + s.banned_until - s.iteration + }) + .min() + .expect("banned cannot be empty here"); + + let mut unbanned = vec![]; + for (name, s) in &mut banned { + s.banned_until -= min_delta; + if s.banned_until == s.iteration { + unbanned.push(*name); + } + } + + assert!(!unbanned.is_empty()); + info!( + "Banned {}/{}, fast-forwarded by {} to unban {}", + banned.len(), + n_stats, + min_delta, + unbanned.join(", "), + ); + + false + }; + + for (rule, s) in banned { + stats.insert(rule.to_owned(), s); + } + + result + } + + fn should_search(&mut self, rule: &str) -> bool { + let stats = self.get_stats(rule.to_owned()); + stats.iteration += 1; + + if stats.iteration < stats.banned_until { + debug!( + "Skipping {} ({}-{}), banned until {}...", + rule, stats.times_applied, stats.times_banned, stats.banned_until, + ); + false + } else { + true + } + } + + fn choose_or_ban(&mut self, rule: &str, matches: &mut Matches) -> bool { + let haskell_backoff = self.haskell_backoff; + let stats = self.get_stats(rule.to_owned()); + let threshold = stats + .match_limit + .checked_shl(stats.times_banned as u32) + .unwrap(); + // Haskell's backoff scheduler counts substitution width, not just the + // number of matched tuples. + let total_len = if haskell_backoff { + matches.match_size().saturating_mul(matches.tuple_len()) + } else { + matches.match_size() + }; + if total_len > threshold { + let ban_length = stats.ban_length << stats.times_banned; + stats.times_banned += 1; + stats.banned_until = stats.iteration + ban_length; + info!( + "Banning {} ({}-{}) for {} iters: {} < {}", + rule, stats.times_applied, stats.times_banned, ban_length, threshold, total_len, + ); + false + } else { + stats.times_applied += 1; + debug!( + "Choosing all matches for {} ({}-{})", + rule, stats.times_applied, stats.times_banned + ); + matches.choose_all(); + true + } + } +} + +#[derive(Debug, Clone)] +struct BackOffScheduler { + state: BackOffState, +} + +impl Scheduler for BackOffScheduler { + fn can_stop(&mut self, rules: &[&str], _ruleset: &str) -> bool { + self.state.can_stop(rules) + } + + fn filter_matches(&mut self, rule: &str, _ruleset: &str, matches: &mut Matches) -> bool { + self.state.should_search(rule) && self.state.choose_or_ban(rule, matches) + } +} + +#[derive(Debug, Clone)] +struct BackOffEggScheduler { + state: BackOffState, +} + +impl FreshScheduler for BackOffEggScheduler { + fn should_search(&mut self, rule: &str, _ruleset: &str) -> bool { + self.state.should_search(rule) + } + + fn can_stop(&mut self, rules: &[&str], _ruleset: &str) -> bool { + self.state.can_stop(rules) + } + + fn filter_matches(&mut self, rule: &str, _ruleset: &str, matches: &mut Matches) { + let _ = self.state.choose_or_ban(rule, matches); + } +} From 9920fd15efd182dfae43b17b5b98be827cf919e8 Mon Sep 17 00:00:00 2001 From: Saul Shanabrook Date: Mon, 6 Apr 2026 03:08:10 -0700 Subject: [PATCH 3/4] Stabilize param-eq baseline and pin experimental commit --- .cargo/config.toml | 3 + Cargo.lock | 2 +- Cargo.toml | 4 +- python/egglog/bindings.pyi | 18 - python/egglog/declarations.py | 4 +- python/egglog/egraph.py | 59 +- python/egglog/egraph_state.py | 83 +- python/egglog/exp/param_eq/Makefile | 34 +- python/egglog/exp/param_eq/README.md | 546 +-- .../param_eq/artifacts/ablation_summary.csv | 6 - .../param_eq/artifacts/egglog_paper_rows.csv | 684 ++-- .../param_eq/artifacts/haskell_live_rows.csv | 682 ++-- .../param_eq/artifacts/haskell_paper_rows.csv | 840 ++-- .../artifacts/pagie_runtime_compare.csv | 634 +++ python/egglog/exp/param_eq/compare_trace.py | 365 -- python/egglog/exp/param_eq/inspect_case.py | 158 - .../egglog/exp/param_eq/normalize_archives.py | 20 +- python/egglog/exp/param_eq/pipeline.py | 346 +- python/egglog/exp/param_eq/replication.ipynb | 3425 +++++------------ python/egglog/exp/param_eq/replication.py | 1257 ++---- .../egglog/exp/param_eq/replication_status.md | 598 --- .../egglog/exp/param_eq/run_egglog_corpus.py | 187 +- .../egglog/exp/param_eq/run_haskell_corpus.py | 74 +- .../exp/param_eq/run_runtime_compare.py | 275 ++ python/egglog/exp/param_eq/test_pipeline.py | 96 +- python/egglog/exp/param_eq/test_trace.py | 195 - python/egglog/exp/param_eq/trace_egglog.py | 183 - python/egglog/exp/param_eq/trace_haskell.py | 312 -- python/egglog/exp/param_eq/trace_tables.py | 351 -- python/egglog/pretty.py | 18 +- python/tests/test_high_level.py | 86 +- python/tests/test_pretty.py | 17 +- src/egraph.rs | 54 +- src/lib.rs | 2 - src/scheduler_handle.rs | 233 -- 35 files changed, 3794 insertions(+), 8057 deletions(-) delete mode 100644 python/egglog/exp/param_eq/artifacts/ablation_summary.csv create mode 100644 python/egglog/exp/param_eq/artifacts/pagie_runtime_compare.csv delete mode 100644 python/egglog/exp/param_eq/compare_trace.py delete mode 100644 python/egglog/exp/param_eq/inspect_case.py delete mode 100644 python/egglog/exp/param_eq/replication_status.md create mode 100644 python/egglog/exp/param_eq/run_runtime_compare.py delete mode 100644 python/egglog/exp/param_eq/test_trace.py delete mode 100644 python/egglog/exp/param_eq/trace_egglog.py delete mode 100644 python/egglog/exp/param_eq/trace_haskell.py delete mode 100644 python/egglog/exp/param_eq/trace_tables.py delete mode 100644 src/scheduler_handle.rs diff --git a/.cargo/config.toml b/.cargo/config.toml index 79760da5..dfcb7216 100644 --- a/.cargo/config.toml +++ b/.cargo/config.toml @@ -2,3 +2,6 @@ [build] # debug symbols https://pyo3.rs/main/debugging#common-setup rustflags = ["-g"] + +[net] +git-fetch-with-cli = true diff --git a/Cargo.lock b/Cargo.lock index 1f6a1557..78330bc6 100644 --- a/Cargo.lock +++ b/Cargo.lock @@ -472,7 +472,7 @@ dependencies = [ [[package]] name = "egglog-experimental" version = "0.1.0" -source = "git+https://github.com/egraphs-good/egglog-experimental.git?rev=fae7440e67497fb7ac56c889dde9eedec17636f9#fae7440e67497fb7ac56c889dde9eedec17636f9" +source = "git+https://github.com/egraphs-good/egglog-experimental.git?rev=3f38efab7307b765bdb912b81e99736f27e00b1f#3f38efab7307b765bdb912b81e99736f27e00b1f" dependencies = [ "egglog", "egglog-ast", diff --git a/Cargo.toml b/Cargo.toml index 28f6eab6..e1c997b9 100644 --- a/Cargo.toml +++ b/Cargo.toml @@ -18,14 +18,14 @@ opentelemetry = "0.28" opentelemetry-otlp = { version = "0.28", features = ["http-proto", "reqwest-blocking-client", "trace"] } opentelemetry-stdout = { version = "0.28", features = ["trace"] } opentelemetry_sdk = "0.28" -egglog = { git = "https://github.com/egraphs-good/egglog.git", rev = "b5c211b9def133cad9540a11744e8a1e40bd2a29", default-features = false } +egglog = { git = "https://github.com/egraphs-good/egglog.git", default-features = false, rev = "b5c211b9def133cad9540a11744e8a1e40bd2a29" } egglog-ast = { git = "https://github.com/egraphs-good/egglog.git", rev = "b5c211b9def133cad9540a11744e8a1e40bd2a29" } egglog-core-relations = { git = "https://github.com/egraphs-good/egglog.git", rev = "b5c211b9def133cad9540a11744e8a1e40bd2a29" } egglog-reports = { git = "https://github.com/egraphs-good/egglog.git", rev = "b5c211b9def133cad9540a11744e8a1e40bd2a29" } egglog-bridge = { git = "https://github.com/egraphs-good/egglog.git", rev = "b5c211b9def133cad9540a11744e8a1e40bd2a29" } -egglog-experimental = { git = "https://github.com/egraphs-good/egglog-experimental.git", rev = "fae7440e67497fb7ac56c889dde9eedec17636f9", default-features = false } +egglog-experimental = { git = "https://github.com/egraphs-good/egglog-experimental.git", default-features = false, rev = "3f38efab7307b765bdb912b81e99736f27e00b1f" } egraph-serialize = { version = "0.3", features = ["serde", "graphviz"] } serde_json = "1" pyo3-log = "*" diff --git a/python/egglog/bindings.pyi b/python/egglog/bindings.pyi index 650aa316..ea741130 100644 --- a/python/egglog/bindings.pyi +++ b/python/egglog/bindings.pyi @@ -78,7 +78,6 @@ __all__ = [ "RustSpan", "Saturate", "Scan", - "SchedulerHandle", "Schema", "Sequence", "SerializedEGraph", @@ -136,22 +135,6 @@ class EGraph: def run_program( self, *commands: _Command, traceparent: str | None = None, tracestate: str | None = None ) -> list[_CommandOutput]: ... - def add_backoff_scheduler( - self, - match_limit: int, - ban_length: int, - *, - egg_like: bool = False, - haskell_backoff: bool = False, - ) -> SchedulerHandle: ... - def run_ruleset_with_scheduler( - self, - ruleset: str, - scheduler: SchedulerHandle, - *, - traceparent: str | None = None, - tracestate: str | None = None, - ) -> RunReport: ... def serialize( self, root_eclasses: list[_Expr], @@ -193,7 +176,6 @@ class Value: def __ge__(self, other: object) -> bool: ... @final -class SchedulerHandle: ... @final class EggSmolError(Exception): diff --git a/python/egglog/declarations.py b/python/egglog/declarations.py index 35bbf418..62b6e7a1 100644 --- a/python/egglog/declarations.py +++ b/python/egglog/declarations.py @@ -1031,7 +1031,6 @@ def visit(typed_expr: TypedExprDecl) -> None: @dataclass(frozen=True) class SaturateDecl: schedule: ScheduleDecl - stop_when_no_updates: bool = False @dataclass(frozen=True) @@ -1066,7 +1065,8 @@ class BackOffDecl: id: UUID match_limit: int | None ban_length: int | None - egg_like: bool = False + fresh_rematch: bool = False + persistent: bool = False ## diff --git a/python/egglog/egraph.py b/python/egglog/egraph.py index 4c393791..f5278e34 100644 --- a/python/egglog/egraph.py +++ b/python/egglog/egraph.py @@ -6,7 +6,7 @@ import tempfile from collections.abc import Callable, Generator, Iterable from contextvars import ContextVar, Token -from dataclasses import InitVar, dataclass, field +from dataclasses import InitVar, dataclass, field, replace from functools import partial from inspect import Parameter, currentframe, getmodule, signature from types import FrameType, FunctionType @@ -976,31 +976,6 @@ def _run_schedule(self, schedule: Schedule) -> bindings.RunReport: assert isinstance(command_output, bindings.RunScheduleOutput) return command_output.report - def _add_backoff_scheduler( - self, - *, - match_limit: int, - ban_length: int, - egg_like: bool, - haskell_backoff: bool = False, - ) -> bindings.SchedulerHandle: - return self._egraph.add_backoff_scheduler( - match_limit, - ban_length, - egg_like=egg_like, - haskell_backoff=haskell_backoff, - ) - - def _run_ruleset_with_scheduler( - self, - ruleset: Ruleset | UnstableCombinedRuleset, - scheduler: bindings.SchedulerHandle, - ) -> bindings.RunReport: - self._add_decls(ruleset) - ruleset_ident = ruleset.__egg_ident__ - self._state.ruleset_to_egg(ruleset_ident) - return call_with_current_trace(self._egraph.run_ruleset_with_scheduler, str(ruleset_ident), scheduler) - def stats(self) -> bindings.RunReport: """ Returns the overall run report for the egraph. @@ -1340,7 +1315,11 @@ def all_function_sizes(self) -> list[tuple[ExprCallable, int]]: """ (output,) = self._run_program(bindings.PrintSize(span(1), None)) assert isinstance(output, bindings.PrintAllFunctionsSize) - return [(callables[0], size) for (name, size) in output.sizes if (callables := self._egg_fn_to_callables(name))] + return [ + (callables[0], size) + for (name, size) in output.sizes + if (callables := self._egg_fn_to_callables(name)) + ] def _egg_fn_to_callables(self, egg_fn: str) -> list[ExprCallable]: return [ @@ -1603,14 +1582,11 @@ def __mul__(self, length: int) -> Schedule: """ return Schedule(self.__egg_decls_thunk__, RepeatDecl(self.schedule, length)) - def saturate(self, *, stop_when_no_updates: bool = False) -> Schedule: + def saturate(self) -> Schedule: """ Run the schedule until the e-graph is saturated. """ - return Schedule( - self.__egg_decls_thunk__, - SaturateDecl(self.schedule, stop_when_no_updates=stop_when_no_updates), - ) + return Schedule(self.__egg_decls_thunk__, SaturateDecl(self.schedule)) def __add__(self, other: Schedule) -> Schedule: """ @@ -2112,7 +2088,7 @@ def back_off( match_limit: None | int = None, ban_length: None | int = None, *, - egg_like: bool = False, + fresh_rematch: bool = False, ) -> BackOff: """ Create a backoff scheduler configuration. @@ -2121,16 +2097,29 @@ def back_off( schedule = run(analysis_ruleset).saturate() + run(ruleset, scheduler=back_off(match_limit=1000, ban_length=5)) * 10 ``` This will run the `analysis_ruleset` until saturation, then run `ruleset` 10 times, - using a backoff scheduler. Set `egg_like=True` to use the fresh-rematch variant + using a backoff scheduler. Set `fresh_rematch=True` to use the fresh-rematch variant that is closer to `egg`/`hegg`; the default keeps egglog's backlog behavior. """ - return BackOff(BackOffDecl(id=uuid4(), match_limit=match_limit, ban_length=ban_length, egg_like=egg_like)) + return BackOff( + BackOffDecl( + id=uuid4(), + match_limit=match_limit, + ban_length=ban_length, + fresh_rematch=fresh_rematch, + ) + ) @dataclass(frozen=True) class BackOff: scheduler: BackOffDecl + def persistent(self) -> BackOff: + """ + Reuse this scheduler across repeated runs on the same egraph. + """ + return BackOff(replace(self.scheduler, persistent=True)) + def scope(self, schedule: Schedule) -> Schedule: """ Defines the scheduler to be created directly before the inner schedule, instead of the default which is at the diff --git a/python/egglog/egraph_state.py b/python/egglog/egraph_state.py index 523a745d..759466d6 100644 --- a/python/egglog/egraph_state.py +++ b/python/egglog/egraph_state.py @@ -30,6 +30,10 @@ _TRACER = trace.get_tracer(__name__) +def _normalize_global_let_name(name: str) -> str: + return name if name.startswith("$") else f"${name}" + + def span(frame_index: int = 0) -> bindings.RustSpan: """ Returns a span for the current file and line. @@ -44,10 +48,6 @@ def span(frame_index: int = 0) -> bindings.RustSpan: return bindings.RustSpan("", 0, 0) -def _normalize_global_let_name(name: str) -> str: - return name if name.startswith("$") else f"${name}" - - @dataclass class EGraphState: """ @@ -107,6 +107,14 @@ def copy(self) -> EGraphState: def _run_program(self, *commands: bindings._Command) -> list[bindings._CommandOutput]: return call_with_current_trace(self.egraph.run_program, *commands) + @staticmethod + def _persistent_scheduler_name(scheduler: BackOffDecl) -> str: + return f"_persistent_scheduler_{scheduler.id.hex}" + + @staticmethod + def _local_scheduler_name(index: int) -> str: + return f"_scheduler_{index}" + @_TRACER.start_as_current_span("run_schedule_to_egg") def run_schedule_to_egg(self, schedule: ScheduleDecl) -> bindings._Command: """ @@ -115,9 +123,11 @@ def run_schedule_to_egg(self, schedule: ScheduleDecl) -> bindings._Command: If there exists any custom schedulers in the schedule, it will be turned into a custom extract command otherwise will be a normal run command. """ - processed_schedule = self._process_schedule(schedule) + processed_schedule, persistent_schedulers = self._process_schedule(schedule) if processed_schedule is None: return bindings.RunSchedule(self._schedule_to_egg(schedule)) + for scheduler in persistent_schedulers: + self._run_program(self._persistent_scheduler_to_egg(scheduler)) top_level_schedules = self._schedule_with_scheduler_to_egg(processed_schedule, []) if len(top_level_schedules) == 1: schedule_expr = top_level_schedules[0] @@ -125,7 +135,7 @@ def run_schedule_to_egg(self, schedule: ScheduleDecl) -> bindings._Command: schedule_expr = bindings.Call(span(), "seq", top_level_schedules) return bindings.UserDefined(span(), "run-schedule", [schedule_expr]) - def _process_schedule(self, schedule: ScheduleDecl) -> ScheduleDecl | None: + def _process_schedule(self, schedule: ScheduleDecl) -> tuple[ScheduleDecl | None, tuple[BackOffDecl, ...]]: """ Processes a schedule to determine if it contains any custom schedulers. @@ -134,19 +144,23 @@ def _process_schedule(self, schedule: ScheduleDecl) -> ScheduleDecl | None: Also processes all rulesets in the schedule to make sure they are registered. """ - bound_schedulers: list[UUID] = [] + bound_schedulers: list[BackOffDecl] = [] unbound_schedulers: list[BackOffDecl] = [] + persistent_schedulers: dict[UUID, BackOffDecl] = {} def helper(s: ScheduleDecl) -> None: match s: case LetSchedulerDecl(scheduler, inner): - bound_schedulers.append(scheduler.id) + bound_schedulers.append(scheduler) return helper(inner) case RunDecl(ruleset_name, _, scheduler): self.ruleset_to_egg(ruleset_name) - if scheduler and scheduler.id not in bound_schedulers: - unbound_schedulers.append(scheduler) - case SaturateDecl(inner, _) | RepeatDecl(inner, _): + if scheduler and scheduler.id not in {s.id for s in bound_schedulers}: + if scheduler.persistent: + persistent_schedulers[scheduler.id] = scheduler + else: + unbound_schedulers.append(scheduler) + case SaturateDecl(inner) | RepeatDecl(inner, _): return helper(inner) case SequenceDecl(schedules): for sc in schedules: @@ -156,16 +170,16 @@ def helper(s: ScheduleDecl) -> None: return None helper(schedule) - if not bound_schedulers and not unbound_schedulers: - return None + if not bound_schedulers and not unbound_schedulers and not persistent_schedulers: + return None, () for scheduler in unbound_schedulers: schedule = LetSchedulerDecl(scheduler, schedule) - return schedule + return schedule, tuple(persistent_schedulers.values()) def _schedule_to_egg(self, schedule: ScheduleDecl) -> bindings._Schedule: msg = "Should never reach this, let schedulers should be handled by custom scheduler" match schedule: - case SaturateDecl(schedule, _): + case SaturateDecl(schedule): return bindings.Saturate(span(), self._schedule_to_egg(schedule)) case RepeatDecl(schedule, times): return bindings.Repeat(span(), times, self._schedule_to_egg(schedule)) @@ -184,7 +198,7 @@ def _schedule_to_egg(self, schedule: ScheduleDecl) -> bindings._Schedule: assert_never(schedule) def _schedule_with_scheduler_to_egg( # noqa: C901, PLR0912 - self, schedule: ScheduleDecl, bound_schedulers: list[UUID] + self, schedule: ScheduleDecl, bound_schedulers: list[BackOffDecl] ) -> list[bindings._Expr]: """ Turns a scheduler into an egg expression, to be used with a custom extract command. @@ -192,9 +206,12 @@ def _schedule_with_scheduler_to_egg( # noqa: C901, PLR0912 The bound_schedulers is a list of all the schedulers that have been bound. We can lookup their name as `_scheduler_{index}`. """ match schedule: - case LetSchedulerDecl(BackOffDecl(id, match_limit, ban_length, egg_like), inner): - name = f"_scheduler_{len(bound_schedulers)}" - bound_schedulers.append(id) + case LetSchedulerDecl(scheduler, inner): + match_limit = scheduler.match_limit + ban_length = scheduler.ban_length + fresh_rematch = scheduler.fresh_rematch + name = self._local_scheduler_name(len(bound_schedulers)) + bound_schedulers.append(scheduler) args: list[bindings._Expr] = [] if match_limit is not None: args.append(bindings.Var(span(), ":match-limit")) @@ -202,7 +219,7 @@ def _schedule_with_scheduler_to_egg( # noqa: C901, PLR0912 if ban_length is not None: args.append(bindings.Var(span(), ":ban-length")) args.append(bindings.Lit(span(), bindings.Int(ban_length))) - scheduler_name = "back-off-egg" if egg_like else "back-off" + scheduler_name = "back-off-fresh" if fresh_rematch else "back-off" back_off_decl = bindings.Call(span(), scheduler_name, args) let_decl = bindings.Call(span(), "let-scheduler", [bindings.Var(span(), name), back_off_decl]) return [let_decl, *self._schedule_with_scheduler_to_egg(inner, bound_schedulers)] @@ -210,7 +227,11 @@ def _schedule_with_scheduler_to_egg( # noqa: C901, PLR0912 args = [bindings.Var(span(), str(ruleset_ident))] if scheduler: name = "run-with" - scheduler_name = f"_scheduler_{bound_schedulers.index(scheduler.id)}" + scheduler_name = self._persistent_scheduler_name(scheduler) + for i, bound in enumerate(bound_schedulers): + if bound.id == scheduler.id: + scheduler_name = self._local_scheduler_name(i) + break args.insert(0, bindings.Var(span(), scheduler_name)) else: name = "run" @@ -225,10 +246,8 @@ def _schedule_with_scheduler_to_egg( # noqa: C901, PLR0912 raise ValueError(msg) args.append(fact_egg.expr) return [bindings.Call(span(), name, args)] - case SaturateDecl(inner, stop_when_no_updates): + case SaturateDecl(inner): args = self._schedule_with_scheduler_to_egg(inner, bound_schedulers) - if stop_when_no_updates: - args = [bindings.Var(span(), ":stop-when-no-updates"), *args] return [bindings.Call(span(), "saturate", args)] case RepeatDecl(inner, times): return [ @@ -249,6 +268,22 @@ def _schedule_with_scheduler_to_egg( # noqa: C901, PLR0912 case _: assert_never(schedule) + def _persistent_scheduler_to_egg(self, scheduler: BackOffDecl) -> bindings._Command: + args: list[bindings._Expr] = [] + if scheduler.match_limit is not None: + args.append(bindings.Var(span(), ":match-limit")) + args.append(bindings.Lit(span(), bindings.Int(scheduler.match_limit))) + if scheduler.ban_length is not None: + args.append(bindings.Var(span(), ":ban-length")) + args.append(bindings.Lit(span(), bindings.Int(scheduler.ban_length))) + scheduler_name = "back-off-fresh" if scheduler.fresh_rematch else "back-off" + back_off_decl = bindings.Call(span(), scheduler_name, args) + return bindings.UserDefined( + span(), + "let-scheduler", + [bindings.Var(span(), self._persistent_scheduler_name(scheduler)), back_off_decl], + ) + def ruleset_to_egg(self, ident: Ident) -> None: """ Registers a ruleset if it's not already registered. diff --git a/python/egglog/exp/param_eq/Makefile b/python/egglog/exp/param_eq/Makefile index b5dff2c9..f60fcb93 100644 --- a/python/egglog/exp/param_eq/Makefile +++ b/python/egglog/exp/param_eq/Makefile @@ -2,7 +2,7 @@ # The file dependencies document the expected order: # 1. normalize archived Haskell outputs # 2. run the current local Haskell pipeline across the same rows -# 3. run the Egglog corpus baseline and scheduler ablations against those rows +# 3. run the retained Egglog corpus baseline against those rows # 4. refresh the golden cases and notebook # 5. run the replication-local tests @@ -16,11 +16,9 @@ GOLDEN := $(PARAM_EQ_DIR)/haskell_golden.json NOTEBOOK := $(PARAM_EQ_DIR)/replication.ipynb ARCHIVED_HASKELL_ROWS := $(ARTIFACT_DIR)/haskell_paper_rows.csv LIVE_HASKELL_ROWS := $(ARTIFACT_DIR)/haskell_live_rows.csv -RUNTIME_ROWS := $(ARTIFACT_DIR)/pagie_runtime_scatter.csv +ARCHIVED_RUNTIME_ROWS := $(ARTIFACT_DIR)/pagie_runtime_scatter.csv +RUNTIME_COMPARE_ROWS := $(ARTIFACT_DIR)/pagie_runtime_compare.csv EGGLOG_ROWS := $(ARTIFACT_DIR)/egglog_paper_rows.csv -EGGLOG_ABLATION_ROWS := $(ARTIFACT_DIR)/egglog_ablation_rows.csv -ABLATION_SUMMARY := $(ARTIFACT_DIR)/ablation_summary.csv - HASKELL_FIXTREE := $(EGGLOG_PARAM_EQ_DATA_DIR)/src/FixTree.hs HASKELL_MAIN := $(EGGLOG_PARAM_EQ_DATA_DIR)/src/Main.hs HASKELL_RESULTS := $(EGGLOG_PARAM_EQ_DATA_DIR)/results @@ -32,41 +30,33 @@ HASKELL_EXPRS := \ $(wildcard $(HASKELL_RESULTS)/exprs/*_exprs_*) \ $(wildcard $(HASKELL_RESULTS)/exprs_simpl/*_exprs_*) -.PHONY: golden archived-artifacts live-haskell artifacts ablations notebook test all +.PHONY: golden archived-artifacts live-haskell artifacts notebook test all -$(ARCHIVED_HASKELL_ROWS) $(RUNTIME_ROWS): $(PARAM_EQ_DIR)/normalize_archives.py $(PARAM_EQ_DIR)/paths.py $(HASKELL_TABLES) $(HASKELL_EXPRS) $(HASKELL_RUNTIME) +$(ARCHIVED_HASKELL_ROWS) $(ARCHIVED_RUNTIME_ROWS): $(PARAM_EQ_DIR)/normalize_archives.py $(PARAM_EQ_DIR)/paths.py $(HASKELL_TABLES) $(HASKELL_EXPRS) $(HASKELL_RUNTIME) cd $(REPO_ROOT) && uv run python -m egglog.exp.param_eq.normalize_archives +$(RUNTIME_COMPARE_ROWS): $(PARAM_EQ_DIR)/run_runtime_compare.py $(PARAM_EQ_DIR)/run_egglog_corpus.py $(ARCHIVED_RUNTIME_ROWS) $(HASKELL_MAIN) $(HASKELL_FIXTREE) + cd $(REPO_ROOT) && uv run python -m egglog.exp.param_eq.run_runtime_compare + $(LIVE_HASKELL_ROWS): $(PARAM_EQ_DIR)/run_haskell_corpus.py $(PARAM_EQ_DIR)/generate_haskell_golden.py $(PARAM_EQ_DIR)/pipeline.py $(PARAM_EQ_DIR)/paths.py $(ARCHIVED_HASKELL_ROWS) $(HASKELL_FIXTREE) $(HASKELL_MAIN) cd $(REPO_ROOT) && uv run python -m egglog.exp.param_eq.run_haskell_corpus -$(EGGLOG_ROWS): $(PARAM_EQ_DIR)/run_egglog_corpus.py $(PARAM_EQ_DIR)/pipeline.py $(ARCHIVED_HASKELL_ROWS) $(RUNTIME_ROWS) +$(EGGLOG_ROWS): $(PARAM_EQ_DIR)/run_egglog_corpus.py $(PARAM_EQ_DIR)/pipeline.py $(ARCHIVED_HASKELL_ROWS) $(ARCHIVED_RUNTIME_ROWS) cd $(REPO_ROOT) && uv run python -m egglog.exp.param_eq.run_egglog_corpus -$(EGGLOG_ABLATION_ROWS): $(PARAM_EQ_DIR)/run_egglog_corpus.py $(PARAM_EQ_DIR)/pipeline.py $(ARCHIVED_HASKELL_ROWS) $(LIVE_HASKELL_ROWS) - cd $(REPO_ROOT) && uv run python -m egglog.exp.param_eq.run_egglog_corpus \ - --output $(EGGLOG_ABLATION_ROWS) \ - --mode egglog-baseline \ - --mode no-haskell-backoff \ - --mode no-graph-size-stop \ - --mode no-bound-scheduler \ - --mode no-fresh-rematch - $(GOLDEN): $(PARAM_EQ_DIR)/generate_haskell_golden.py $(PARAM_EQ_DIR)/pipeline.py $(PARAM_EQ_DIR)/paths.py $(HASKELL_FIXTREE) $(HASKELL_MAIN) $(ARCHIVED_HASKELL_ROWS) cd $(REPO_ROOT) && uv run python -m egglog.exp.param_eq.generate_haskell_golden -$(NOTEBOOK): $(PARAM_EQ_DIR)/replication.py $(ARCHIVED_HASKELL_ROWS) $(LIVE_HASKELL_ROWS) $(EGGLOG_ROWS) $(ABLATION_SUMMARY) $(RUNTIME_ROWS) +$(NOTEBOOK): $(PARAM_EQ_DIR)/replication.py $(ARCHIVED_HASKELL_ROWS) $(LIVE_HASKELL_ROWS) $(EGGLOG_ROWS) $(RUNTIME_COMPARE_ROWS) cd $(REPO_ROOT) && uv run python python/egglog/exp/param_eq/replication.py -archived-artifacts: $(ARCHIVED_HASKELL_ROWS) $(RUNTIME_ROWS) +archived-artifacts: $(ARCHIVED_HASKELL_ROWS) $(ARCHIVED_RUNTIME_ROWS) live-haskell: $(LIVE_HASKELL_ROWS) golden: $(GOLDEN) -artifacts: $(ARCHIVED_HASKELL_ROWS) $(RUNTIME_ROWS) $(LIVE_HASKELL_ROWS) $(EGGLOG_ROWS) - -ablations: $(EGGLOG_ABLATION_ROWS) +artifacts: $(ARCHIVED_HASKELL_ROWS) $(ARCHIVED_RUNTIME_ROWS) $(LIVE_HASKELL_ROWS) $(EGGLOG_ROWS) $(RUNTIME_COMPARE_ROWS) notebook: $(NOTEBOOK) diff --git a/python/egglog/exp/param_eq/README.md b/python/egglog/exp/param_eq/README.md index 20f1540b..758c7557 100644 --- a/python/egglog/exp/param_eq/README.md +++ b/python/egglog/exp/param_eq/README.md @@ -1,456 +1,206 @@ -# Param-Eq Paper Replication +# Param-Eq Replication -This directory is the canonical retained baseline for reproducing the older -`param-eq-haskell` pipeline in Egglog before any multiset changes. +This directory is the canonical retained `param_eq` package for the symbolic +regression simplification replication. -The retained source-of-truth files are: +It keeps one baseline: -- Haskell implementation: - - `../param-eq-haskell/src/FixTree.hs` - - `../param-eq-haskell/src/Main.hs` - - `../param-eq-haskell/results/` -- Egglog translation: - - [pipeline.py](pipeline.py) -- Corpus-level plots and observed results: - - [replication.py](replication.py) - - [replication.ipynb](replication.ipynb) -- Current hypothesis ledger and rejected fixes: - - [replication_status.md](replication_status.md) +- archived Haskell paper rows as the published reference +- live Haskell reruns as the primary behavioral baseline +- Egglog as the retained replication implementation -The main division of responsibility is: +The notebook and checked-in artifacts are meant to answer one practical +question: -- [pipeline.py](pipeline.py) says what the translation is -- [replication.py](replication.py) says what happened when we ran it on the - archived paper rows -- [replication_status.md](replication_status.md) says what still differs, what - we tried, and what hypothesis remains live +- do archived Haskell, live Haskell, and Egglog support the same qualitative + conclusions on the retained paper metrics? -## Problem And Data Overview - -This replication is about a symbolic-regression simplification pipeline, not -about training regressors from scratch. - -The raw inputs here are candidate formulas that were already produced by older -symbolic-regression systems. The `param-eq-haskell` code then simplifies those -formulas with equality saturation and compares how many free numeric parameters -remain afterward. - -The main terms used throughout this directory are: - -- `Pagie` and `Kotanchek` - - the two benchmark families carried forward from the archived Haskell - results - - each row is one symbolic-regression formula from one of those benchmark - suites -- `Bingo`, `EPLEX`, `FEAT`, `GOMEA`, `Operon`, `SBP`, and `SRjl` - - the symbolic-regression systems that produced the candidate formulas in the - archived data - - in the normalized notebook artifacts, `GOMEA` is presented as `GP-GOMEA` - and `SRjl` as `PySR` to make the labels easier to read -- `original_expr` - - the original formula as archived from the benchmark pipeline -- `sympy_expr` - - the corresponding formula after the archived Sympy normalization step -- `orig_params` / `simpl_params` - - the number of numeric parameters before and after simplification -- `n_rank` - - the archived paper's simplification-rank statistic for that row - -So when the notebook compares Egglog to Haskell, it is asking: - -- given the same archived benchmark formula, -- does Egglog simplify it to roughly the same parameter count and overall - complexity as the Haskell baseline? - -The most important practical point is that the algorithm names are only labels -for where a formula came from. The replication target here is the Haskell -simplifier's behavior on those formulas, not the training behavior of Bingo, -EPLEX, Operon, or the other upstream systems. - -## Retained files - -- [pipeline.py](pipeline.py): canonical Egglog translation of the paper-era - simplification pipeline -- [generate_haskell_golden.py](generate_haskell_golden.py): regenerates - [haskell_golden.json](haskell_golden.json) from live Haskell runs -- [normalize_archives.py](normalize_archives.py): normalizes the archived - Haskell paper outputs into checked-in CSV artifacts -- [run_haskell_corpus.py](run_haskell_corpus.py): runs the current local - Haskell `simplifyE` pipeline across the retained paper rows and writes a - live full-corpus comparison artifact -- [run_egglog_corpus.py](run_egglog_corpus.py): runs the Egglog baseline across - the archived paper rows, and can compare multiple pipeline modes -- [inspect_case.py](inspect_case.py): focused case inspector for schedule and - extraction debugging -- [trace_tables.py](trace_tables.py), - [trace_egglog.py](trace_egglog.py), - [trace_haskell.py](trace_haskell.py), and - [compare_trace.py](compare_trace.py): local full-state trace/comparison tools - for stepwise Haskell-vs-Egglog debugging -- [replication.py](replication.py): jupytext notebook source -- [replication.ipynb](replication.ipynb): executed notebook artifact generated - from the jupytext source -- [replication_status.md](replication_status.md): current parity state, rejected - fixes, and next hypotheses -- [artifacts/](artifacts/): checked-in normalized paper artifacts used by the - notebook - - `haskell_paper_rows.csv`: archived published-paper baseline rows - - `haskell_live_rows.csv`: current local Haskell results on the same rows - - `egglog_paper_rows.csv`: current Egglog results on the same rows - - `ablation_summary.csv`: scheduler-ablation acceptance summary against the - live Haskell baseline -- [haskell_golden.json](haskell_golden.json): Haskell-backed golden cases used - by [test_pipeline.py](test_pipeline.py) - -## Workflow +## What This Package Contains -The local [Makefile](Makefile) in this directory is the canonical entrypoint: +### Source files -```bash -cd python/egglog/exp/param_eq -make all -``` - -The supported targets are: - -- `make golden`: regenerate [haskell_golden.json](haskell_golden.json) from live - Haskell runs -- `make archived-artifacts`: regenerate the normalized archived-paper CSVs -- `make live-haskell`: regenerate the live full-corpus Haskell artifact -- `make artifacts`: regenerate all CSV artifacts, including archived Haskell, - live Haskell, and Egglog rows -- `make notebook`: run [replication.py](replication.py) and refresh - [replication.ipynb](replication.ipynb) -- `make test`: run the replication-local pytest targets +- [pipeline.py](pipeline.py) + - the retained Egglog translation of the simplification pipeline +- [run_haskell_corpus.py](run_haskell_corpus.py) + - reruns the local Haskell implementation across the retained corpus rows +- [run_egglog_corpus.py](run_egglog_corpus.py) + - runs the retained Egglog baseline across the same rows +- [normalize_archives.py](normalize_archives.py) + - converts the archived Haskell paper outputs into the checked-in CSV + artifacts used by the notebook +- [generate_haskell_golden.py](generate_haskell_golden.py) + - regenerates the reduced Haskell-backed golden cases used in tests +- [replication.py](replication.py) + - jupytext notebook source for the thesis/check notebook +- [paths.py](paths.py) + - shared local path helpers for this package +- [__main__.py](__main__.py) + - one-off CLI entrypoint for simplifying a single expression -For one-off schedule probes, use the module CLI directly: +### Tests -```bash -uv run python -m egglog.exp.param_eq --mode egglog-haskell-literal --expr='...' -``` +- [test_pipeline.py](test_pipeline.py) + - replication-local behavioral tests for the retained baseline +- [test_replication_notebook.py](test_replication_notebook.py) + - smoke test that the notebook source runs and writes an executed notebook -For stepwise full-state comparisons, run: +### Checked-in artifacts -```bash -uv run python -m egglog.exp.param_eq.compare_trace --case-id pagie_operon_15 -``` +- [artifacts/haskell_paper_rows.csv](artifacts/haskell_paper_rows.csv) + - archived paper-era Haskell results for the retained rows +- [artifacts/haskell_live_rows.csv](artifacts/haskell_live_rows.csv) + - current local Haskell rerun on the same retained rows +- [artifacts/egglog_paper_rows.csv](artifacts/egglog_paper_rows.csv) + - current Egglog results on the same retained rows +- [artifacts/pagie_runtime_scatter.csv](artifacts/pagie_runtime_scatter.csv) + - archived Haskell Figure 9 benchmark sweep, normalized from the original + Criterion output +- [artifacts/pagie_runtime_compare.csv](artifacts/pagie_runtime_compare.csv) + - apples-to-apples Pagie runtime sweep used by the notebook for archived + Haskell, live Haskell, and Egglog +- [haskell_golden.json](haskell_golden.json) + - reduced Haskell-backed golden cases used by + [test_pipeline.py](test_pipeline.py) +- [replication.ipynb](replication.ipynb) + - executed notebook artifact generated from [replication.py](replication.py) -That writes ignored trace artifacts under `python/egglog/exp/param_eq/trace/`, -including one JSON snapshot per step for each system plus a short comparison -summary. +## Problem And Data Overview -## Data root +This replication is about simplifying formulas that were already produced by +symbolic-regression systems. It is not about training or rerunning those +regressors. -By default the live Haskell/source data root is expected at the sibling path -`../param-eq-haskell` relative to the `egg-smol-python` checkout. +The retained benchmark families are: -Override it with: +- `Pagie` +- `Kotanchek` -```bash -export EGGLOG_PARAM_EQ_DATA_DIR=/path/to/param-eq-haskell -``` +The formulas in those datasets were originally produced by several older +symbolic-regression systems: -That path is used by: +- `Bingo` +- `EPLEX` +- `GOMEA` +- `Operon` +- `SBP` +- `SRjl` -- [generate_haskell_golden.py](generate_haskell_golden.py) -- [normalize_archives.py](normalize_archives.py) -- [replication_status.md](replication_status.md) when it cites live Haskell - source locations +In the notebook displays, those names are normalized to the paper-facing +labels: -The checked-in notebook and tests do not shell out to Haskell during normal -execution. They only read the checked-in artifacts in [artifacts/](artifacts/) -and [haskell_golden.json](haskell_golden.json). +- `GOMEA -> GP-GOMEA` +- `SRjl -> PySR` -## Archived Vs Live Haskell Results +Useful columns in the row artifacts: -The current notebook is intentionally anchored to the archived paper-style CSVs -in [artifacts/](artifacts/) for the published-figure recreation section, but -the main Egglog-vs-Haskell comparison now uses the live full-corpus Haskell -artifact. That keeps the notebook honest about current behavior while still -making the published-paper drift visible. +- `original_expr` + - archived benchmark formula for the row +- `sympy_expr` + - archived Sympy-normalized variant of that formula +- `orig_params` + - parameter count before simplification +- `simpl_params` + - parameter count after simplification +- `n_rank` + - the paper's rank target for the row +- `dataset`, `algorithm`, `algo_row` + - stable identifiers for matching the same row across artifacts -That also means there are now two distinct comparison targets: +## Artifact Roles -- archived-paper artifacts - - what the notebook uses to recreate the published paper figures -- current local Haskell runs - - what [run_haskell_corpus.py](run_haskell_corpus.py) and - [generate_haskell_golden.py](generate_haskell_golden.py) use for the live - comparison baseline +The three main row artifacts serve different purposes: -As we found with rows like `kotanchek:EPLEX#4`, those two can drift apart. The -right way to handle that is not to overwrite the archived CSVs. It is to keep -both artifacts side-by-side and compare Egglog primarily to the live one, while -still reporting drift from the published archived results. +- [artifacts/haskell_paper_rows.csv](artifacts/haskell_paper_rows.csv) + - the published paper reference +- [artifacts/haskell_live_rows.csv](artifacts/haskell_live_rows.csv) + - the current local Haskell behavior +- [artifacts/egglog_paper_rows.csv](artifacts/egglog_paper_rows.csv) + - the current Egglog behavior -That would let us separate three questions cleanly: +The notebook compares all three side by side. In practice: -- does Egglog match the archived paper artifact? -- does Egglog match the current local Haskell implementation? -- where is the remaining gap actually archive drift rather than an Egglog bug? +- archived Haskell is the published reference +- live Haskell is the primary comparison target for current behavior +- Egglog is the retained replication being evaluated ## Where To Find The Formulas -For the exact formulas used by the notebook and corpus runner, start with the -checked-in CSV artifacts: +For the exact formulas used by the notebook and corpus runners, start with the +checked-in row artifacts: - [artifacts/haskell_paper_rows.csv](artifacts/haskell_paper_rows.csv) - - `original_expr`: the archived original benchmark formula for that row - - `sympy_expr`: the archived Sympy-normalized formula for that row - [artifacts/haskell_live_rows.csv](artifacts/haskell_live_rows.csv) - - the current local Haskell results for the same retained rows - - includes live `simpl_params`, `simpl_params_sympy`, and rendered outputs - [artifacts/egglog_paper_rows.csv](artifacts/egglog_paper_rows.csv) - - repeats `original_expr` and `sympy_expr` - - adds the current Egglog outputs and counts for the same rows - -The stable row identifiers for cross-referencing are: -- `dataset` -- `algorithm` -- `algo_row` - -If you want the raw Haskell-side expression files those rows came from, look -under the live data checkout at: +For the raw Haskell-side inputs and expression dumps, look in the sibling +`param-eq-haskell` checkout: - `../param-eq-haskell/results/exprs/` - `../param-eq-haskell/results/exprs_simpl/` - `../param-eq-haskell/results/dataset/Pagie.csv` - `../param-eq-haskell/results/dataset/Kotanchek.csv` -Examples: - -- `../param-eq-haskell/results/exprs/Operon_exprs_pagie` -- `../param-eq-haskell/results/exprs/EPLEX_exprs_kotanchek` - -Those files are the best place to inspect the original benchmark formulas in -the same per-algorithm layout the Haskell pipeline used. - -## What To Read First - -If you want the current observed results, start with -[replication.py](replication.py) or [replication.ipynb](replication.ipynb). -That notebook contains the current corpus-level comparisons, plots, and -conclusions about whether Egglog is meeting the archived Haskell baseline. - -If you want the current remaining gap, start with -[replication_status.md](replication_status.md). It intentionally does not repeat -the notebook plots or corpus-level numbers. Instead it records: - -- the accepted baseline -- the remaining mismatch frontier -- rejected fixes that should not be repeated casually -- the current hypothesis for why exact parity is still missing - -## Why the schedule looks the way it does - -[pipeline.py](pipeline.py) intentionally cites the exact `FixTree.hs` functions -it mirrors: - -- `evalConstant` -- `joinA` -- `modifyA` -- `rewritesBasic` -- `rewritesFun` -- `rewriteTree` -- `simplifyE` +## Workflow -The retained default in [pipeline.py](pipeline.py) is now the more literal -Haskell-shaped inner loop: +The local [Makefile](Makefile) is the canonical entrypoint for this package: -- outer pass cap `2` -- inner iteration cap `30` -- backoff settings `2500`, `30` -- one reused bound scheduler per `rewriteTree`-like pass -- full Haskell rewrite set `rewritesBasic <> rewritesFun` -- one saturated analysis round after each rewrite round -- stop based on whole-pass e-graph size stability, which is the closest current - Egglog analogue to Haskell's rebuild-size check +```bash +cd python/egglog/exp/param_eq +make all +``` -There is still an explicit `egglog-haskell-literal` mode in -[pipeline.py](pipeline.py), but it now describes the retained baseline rather -than a separate exploratory schedule. +Useful targets: -## Egglog Changes Needed So Far +- `make archived-artifacts` + - regenerate the normalized archived paper artifacts +- `make live-haskell` + - regenerate [artifacts/haskell_live_rows.csv](artifacts/haskell_live_rows.csv) +- `make golden` + - regenerate [haskell_golden.json](haskell_golden.json) +- `make artifacts` + - regenerate all checked-in CSV artifacts +- `make notebook` + - execute [replication.py](replication.py) and refresh + [replication.ipynb](replication.ipynb) +- `make test` + - run the replication-local pytest targets -Getting close to the Haskell baseline required a few specific Egglog-side -changes. The high-level Python schedule alone was not enough. +One-off CLI use: -### 1. Fresh-rematch scheduling, not only backlog replay +```bash +uv run python -m egglog.exp.param_eq --expr='...' +``` -Haskell's inner loop rematches against the rebuilt graph each iteration. The -old Egglog backlog scheduler preserved skipped residual matches instead, which -is a different contract. +After local engine changes, rebuild the package with: -To express the Haskell behavior cleanly, the engine split scheduler behavior -into two kinds: +```bash +uv sync --reinstall-package egglog --all-extras +``` -- backlog scheduler: - - preserves the older Egglog residual-match behavior -- fresh scheduler: - - rematches the rebuilt graph each iteration, which is closer to - Haskell / hegg +## Data Root -That landed in the engine layer as: +By default the live Haskell checkout is expected at the sibling path +`../param-eq-haskell` relative to the `egg-smol-python` repository root. -- [/Users/saul/p/egg-smol/src/scheduler.rs](/Users/saul/p/egg-smol/src/scheduler.rs) - - `FreshScheduler` - - `EGraph::add_fresh_scheduler(...)` -- [/Users/saul/p/egglog-experimental/src/scheduling.rs](/Users/saul/p/egglog-experimental/src/scheduling.rs) - - `back-off` - - `back-off-egg` -- [/Users/saul/p/egg-smol-python/python/egglog/egraph.py](/Users/saul/p/egg-smol-python/python/egglog/egraph.py) - - `back_off(..., egg_like=True)` +Override it with: -For `param_eq`, the retained baseline now uses the fresh-rematch path because -that is the closer analogue of the Haskell inner loop. +```bash +export EGGLOG_PARAM_EQ_DATA_DIR=/path/to/param-eq-haskell +``` -### 2. One persistent scheduler across one `rewriteTree` pass +The notebook and tests do not shell out to Haskell during normal execution. +They use the checked-in artifacts in [artifacts/](artifacts/) and +[haskell_golden.json](haskell_golden.json). -Haskell does not recreate the backoff scheduler state every inner iteration. -One `BackoffScheduler 2500 30` lives across a whole `rewriteTree` call. +## Notebook Scope -To reproduce that in Python, we needed a low-level bound-scheduler handle so -the same scheduler instance could be reused across multiple `run(...)` calls on -one `EGraph`. +The notebook in [replication.ipynb](replication.ipynb) is comparison-first. -That required binding-layer support in: +Its job is to show, using the same plots and the same table layouts, that: -- [/Users/saul/p/egg-smol-python/src/scheduler_handle.rs](/Users/saul/p/egg-smol-python/src/scheduler_handle.rs) - - `SchedulerHandle` -- [/Users/saul/p/egg-smol-python/src/egraph.rs](/Users/saul/p/egg-smol-python/src/egraph.rs) - - `add_backoff_scheduler(...)` - - `run_ruleset_with_scheduler(...)` -- [/Users/saul/p/egg-smol-python/python/egglog/egraph.py](/Users/saul/p/egg-smol-python/python/egglog/egraph.py) - - `_add_backoff_scheduler(...)` - - `_run_ruleset_with_scheduler(...)` - -Without that handle, changing the Python schedule shape alone was not enough to -get close to Haskell. - -### 3. Stop on graph stability, not on whether the scheduler still has work - -Haskell's inner loop stops when applying rewrites and rebuilding no longer -changes the graph. In this Python translation, rebuild-like propagation is -approximated by a saturated analysis round after each rewrite round. - -So the retained baseline now stops based on whole-pass e-graph size stability -after: - -- one rewrite round under the bound scheduler -- one saturated analysis round - -That is why [pipeline.py](pipeline.py) uses `_serialized_counts(...)` around -the loop instead of stopping on the scheduler's own `can_stop` result. - -### 4. Haskell-style backoff accounting inside the custom scheduler - -The next important difference was inside the backoff scheduler itself. - -Haskell's backoff effectively counts substitution width: - -- total matched substitutions, not only raw match count - -Egglog's first Python-side backoff version only counted the number of matched -tuples. That let wide factorization and additive rules run longer than they do -in Haskell. - -The retained `param_eq` baseline now uses the Haskell-style threshold by -passing `haskell_backoff=True` through the binding layer. That logic lives in: - -- [/Users/saul/p/egg-smol-python/src/scheduler_handle.rs](/Users/saul/p/egg-smol-python/src/scheduler_handle.rs) - - `BackOffState::choose_or_ban(...)` - -In practice, that was necessary to suppress the earlier `pagie_operon_15` -factorization/A-C blowup and make the literal schedule practical. - -### 5. Keep the Haskell rewrite set intact - -We also learned that the baseline should not be made "fast" by silently -dropping Haskell rules like `add_comm`. - -The retained baseline now keeps the Haskell rewrite set intact in -[pipeline.py](pipeline.py): - -- `rewritesBasic <> rewritesFun` -- including `add_comm` - -At this point, the main remaining gaps are no longer explained by a truncated -ruleset or a clearly weaker high-level schedule. The remaining work is in the -smaller mismatch tail. - -The current evidence for keeping the retained baseline while continuing to probe -the remaining mismatch frontier is split across: - -- [replication.py](replication.py), especially: - - `## 5. Current Local Haskell vs Egglog Comparison` - - `## 6. Scheduler Ablation` - - `## 7. Current Limitations` -- [replication_status.md](replication_status.md), especially: - - `## Accepted Baseline` - - `## Mismatch Frontier` - - `## Current Live Hypothesis` - -Important current update: - -- after regenerating a full-corpus live Haskell artifact and rerunning the - direct Haskell-shaped Egglog baseline, all paper rows still saturate on both - original and Sympy inputs -- exact parameter-count matches against the **current local Haskell** artifact - are now: - - `318 / 341` on original inputs - - `336 / 341` on Sympy inputs -- by contrast, the archived published rows drift away from the current local - Haskell results on: - - `21` original rows - - `215` Sympy rows -- the live Haskell artifact currently includes `2` archived fallback rows - because those current local reruns still overflow the Haskell stack budget: - - `pagie SRjl#18` - - `kotanchek Bingo#21` -- the remaining live Egglog-vs-Haskell gaps are now small: - - largest original-input gap: `2` parameters - - largest Sympy-input gap: `1` parameter -- scheduler-ablation result: - - `no-haskell-backoff` is a hard fail - - it times out on `pagie Operon#15` original where the retained baseline - still saturates in about `11.7s` - - `no-bound-scheduler` keeps the same medians and nearly the same exact-match - counts, but it loses full saturation on: - - `pagie EPLEX#25` - - `pagie SRjl#1` - - `no-fresh-rematch` also keeps the same medians and exact-match counts, but - it loses full saturation on: - - `pagie SRjl#20` - - `kotanchek Operon#21` - - `no-graph-size-stop` matched the targeted row-level probes we used for the - ablation screen, but it made `pagie Operon#15` much slower - (`~57.3s` vs `~11.7s` baseline) and was not promoted as a simpler retained - stack - -So the main remaining frontier has changed: - -- it is no longer the old timeout tail, the old `pagie_operon_15` - schedule-boundary miss, or the broad Sympy mismatch that showed up only when - comparing against the archived published rows -- it is now: - - which of the remaining small row-level gaps are true live Haskell - mismatches - - which rows only differ because the published archived results drift from - the current local Haskell implementation - - and whether the two Haskell-overflow fallback rows can be replaced with - true live results later -- the retained scheduler stack still looks necessary as a whole if we want to - keep the current notebook-level conclusions without reintroducing timeouts - or losing all-row saturation - -The detailed evidence for that lives in [replication_status.md](replication_status.md). - -## Scope - -This branch is the pre-multiset baseline. - -Future refinement should start from this directory, the notebook, and -[replication_status.md](replication_status.md) before trying multiset/container -changes. The earlier `srtree` and other SR experiment families were -intentionally removed so the retained baseline stays auditable. +- archived Haskell, live Haskell, and Egglog can be compared directly from one + shared data pipeline +- the three result sets support similar qualitative conclusions on the retained + paper metrics +- the remaining archive drift is modest but should still be reported + explicitly, rather than silently folded into Egglog-vs-Haskell comparisons diff --git a/python/egglog/exp/param_eq/artifacts/ablation_summary.csv b/python/egglog/exp/param_eq/artifacts/ablation_summary.csv deleted file mode 100644 index 5c5ee899..00000000 --- a/python/egglog/exp/param_eq/artifacts/ablation_summary.csv +++ /dev/null @@ -1,6 +0,0 @@ -mode,evaluation_scope,orig_exact,sympy_exact,orig_saturated,sympy_saturated,orig_max_gap,sympy_max_gap,orig_median_delta,sympy_median_delta,orig_pattern_ok,sympy_pattern_ok,accepted,note -Egglog baseline,full corpus,318/341,336/341,341/341,341/341,2,1,-1,-1,true,true,true,Retained baseline against current local Haskell. -No Haskell backoff,targeted fail,n/a,n/a,n/a,n/a,n/a,n/a,n/a,n/a,false,false,false,Timed out on `pagie Operon#15` original while the retained baseline saturated that row in about 11.7s. -No graph-size stop,targeted parity only,n/a,n/a,n/a,n/a,n/a,n/a,n/a,n/a,false,false,false,Matched the targeted `pagie Operon#15` and `pagie GOMEA#17/#18/#28` parameter counts but slowed `pagie Operon#15` from about 11.7s to about 57.3s; a full aggregate run was not kept once the other ablations had already shown the current stack was still needed for full saturation. -No bound scheduler,full corpus,315/341,336/341,339/341,341/341,2,1,-1,-1,true,true,false,Loses full original-input saturation by timing out on `pagie EPLEX#25` and `pagie SRjl#1`. -No fresh rematch,full corpus,317/341,336/341,339/341,341/341,2,1,-1,-1,true,true,false,Loses full original-input saturation by timing out on `pagie SRjl#20` and `kotanchek Operon#21`. diff --git a/python/egglog/exp/param_eq/artifacts/egglog_paper_rows.csv b/python/egglog/exp/param_eq/artifacts/egglog_paper_rows.csv index 3b5538a9..eec96c7b 100644 --- a/python/egglog/exp/param_eq/artifacts/egglog_paper_rows.csv +++ b/python/egglog/exp/param_eq/artifacts/egglog_paper_rows.csv @@ -1,342 +1,342 @@ -dataset,raw_index,algorithm_raw,algorithm,algo_row,is_paper_row,drop_reason,n_params,n_rank,mode,original_expr,sympy_expr,orig_status,orig_runtime_ms,orig_nodes,orig_params,simpl_nodes,simpl_params,orig_total_size,orig_egraph_nodes,orig_eclass_count,orig_passes,orig_extracted_cost,orig_rendered,sympy_status,sympy_runtime_ms,orig_nodes_sympy,orig_params_sympy,simpl_nodes_sympy,simpl_params_sympy,sympy_total_size,sympy_egraph_nodes,sympy_eclass_count,sympy_passes,sympy_extracted_cost,sympy_rendered -pagie,0,Bingo,Bingo,1,1,kept,6.0,4.0,egglog-baseline,0.5240322255066139 + (-0.45351118068033663)*(plog(-54.93119319072758 + (755.3723998652232)*((plog((-2)*((x0)*((x1)^(-1))) + (-66438756992.645454)*((x0)*(x1))))^(-1)) + plog((-2)*((x0)*((x1)^(-1))) + (-66438756992.645454)*((x0)*(x1))))),(0.5240322255066139) + ((-0.45351118068033663) * (log(abs((log(abs((x0) * (((-2.0) * ((x1)^(-1))) + ((x1) * (-6.6438756992645454e10)))))) + ((-54.93119319072758) + ((755.3723998652232) * ((log(abs((x0) * (((-2.0) * ((x1)^(-1))) + ((x1) * (-6.6438756992645454e10))))))^(-1)))))))),saturated,696.031250,43,8,37,7,133,146,65,2,93,(0.5240322255066139 + (-0.45351118068033663 * log(abs(((-54.238046010167636 + log(abs((x0 * ((x1 ** -1.0) + (33219378496.322727 * x1)))))) + (755.3723998652232 * ((0.6931471805599453 + log(abs((x0 * ((x1 ** -1.0) + (33219378496.322727 * x1)))))) ** -1.0))))))),saturated,789.789917,39,8,37,7,191,208,87,2,93,(0.5240322255066139 + (-0.45351118068033663 * log(abs(((-54.238046010167636 + log(abs((x0 * ((x1 ** -1.0) + (33219378496.322727 * x1)))))) + (755.3723998652232 * ((log(abs((x0 * ((x1 ** -1.0) + (33219378496.322727 * x1))))) + 0.6931471805599453) ** -1.0))))))) -pagie,1,Bingo,Bingo,2,1,kept,4.0,4.0,egglog-baseline,0.04547093390683249 + (0.17516554602688977)*(plog((34.093055726490284)*((x0)*(x0)) + x1 + (-428.9738000218307)*(((x0)*(x0))*((x1)*(x1))))),(4.547093390683249e-2) + ((0.17516554602688977) * (log(abs((x1) + ((x0) * ((x0) * ((34.093055726490284) + ((-428.9738000218307) * ((x1) * (x1)))))))))),saturated,687.826750,23,4,19,4,95,103,41,2,44,(0.04547093390683249 + (0.17516554602688977 * log(abs((((x0 * x0) * (34.093055726490284 + (-428.9738000218307 * (x1 * x1)))) + x1))))),saturated,294.093334,19,4,19,4,95,103,41,1,44,(0.04547093390683249 + (0.17516554602688977 * log(abs((x1 + (x0 * (x0 * (34.093055726490284 + (-428.9738000218307 * (x1 * x1)))))))))) -pagie,2,Bingo,Bingo,3,1,kept,5.0,5.0,egglog-baseline,((plog(1 - ((-4.620613175155346)*(-4.620613175155346))))^(-1))*(plog(1 + ((-0.7045923450774843)^(-1))*((x1)*(x0 + ((-4.620613175155346)*(-4.620613175155346) - (-0.7045923450774843))*(x0) + plog(-0.5941007048060543 + x0))) - (x0))),(0.331885850726245) * (log(abs(((1.0) + ((-1.4192603808235096) * ((x1) * (((x0) + ((x0) * (22.05465845949665))) + (log(abs((x0) + (-0.5941007048060543)))))))) - (x0)))),saturated,376.041083,37,9,23,5,82,90,41,2,53,(0.331885850726245 * log(abs(((1.0 + (-1.4192603808235096 * (x1 * ((x0 + (22.05465845949665 * x0)) + log(abs((-0.5941007048060543 + x0))))))) - x0)))),saturated,254.368541,23,5,23,5,82,90,41,1,53,(0.331885850726245 * log(abs(((1.0 + (-1.4192603808235096 * (x1 * ((x0 + (x0 * 22.05465845949665)) + log(abs((x0 + -0.5941007048060543))))))) - x0)))) -pagie,3,Bingo,Bingo,4,1,kept,9.0,6.0,egglog-baseline,(321.50462762611204)*((((-2588.281378882496)^(-1))*((x0)*(x1)) + plog((3323.2144588507704)*((x0)*(x1))) - (3.834139037636267))*(((((-2588.281378882496)^(-1))*((x0)*(x1)) + plog((3323.2144588507704)*((x0)*(x1))) - (-2588.281378882496 + 3.834139037636267 + plog(-2588.281378882496)))^(-1))*(plog(plog((3323.2144588507704)*((x0)*(x1))))))),(321.50462762611204) * (((((-3.8635675709715734e-4) * ((x0) * (x1))) + (log(abs(((x0) * (x1)) * (3323.2144588507704))))) - (3.834139037636267)) * ((((((-3.8635675709715734e-4) * ((x0) * (x1))) + (log(abs(((x0) * (x1)) * (3323.2144588507704))))) - (-2576.588490470697))^(-1)) * (log(abs(log(abs(((x0) * (x1)) * (3323.2144588507704)))))))),saturated,1000.201541,55,10,41,6,197,208,70,2,86,(321.50462762611204 * (((4.274548766358028 + (-0.00038635675709715734 * (x0 * x1))) + log(abs((x0 * x1)))) * ((((2584.697178274691 + (-0.00038635675709715734 * (x0 * x1))) + log(abs((x0 * x1)))) ** -1.0) * log(abs(log((3323.2144588507704 * abs((x0 * x1))))))))),saturated,771.320709,45,8,41,6,197,208,70,2,86,(321.50462762611204 * ((4.274548766358028 + ((-0.00038635675709715734 * (x0 * x1)) + log(abs((x0 * x1))))) * (((2584.697178274691 + ((-0.00038635675709715734 * (x0 * x1)) + log(abs((x0 * x1))))) ** -1.0) * 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(x0))))))),saturated,440.173708,21,2,17,4,50,56,28,2,41,(1.109849 * ((1.7573471706511425 - exp((-1.0 * (x1 * x1)))) - exp((-1.0 * (x0 * x0))))),saturated,458.255417,21,2,21,2,66,72,32,2,39,(1.109849 * ((1.7573471706511425 - exp(((x0 - x0) - (x1 * x1)))) - exp(((x0 - x0) - (x0 * x0))))) -pagie,118,GOMEA,GOMEA,29,1,kept,4.0,3.0,egglog-baseline,2.072676-0.000520*((exp(((x1+8.426000)-exp(x1)))+exp(((8.611000+x0)-exp(x0))))),(2.072676) - ((5.2e-4) * ((exp(((x1) + (8.426)) - (exp(x1)))) + (exp(((8.611) + (x0)) - (exp(x0)))))),saturated,405.924500,19,4,19,4,42,48,28,2,43,(0.00052 * ((3985.915384615385 - exp(((x1 + 8.426) - exp(x1)))) - exp(((8.611 + x0) - exp(x0))))),saturated,417.238417,19,4,19,4,42,48,28,2,43,(0.00052 * ((3985.915384615385 - exp(((x1 + 8.426) - exp(x1)))) - exp(((8.611 + x0) - exp(x0))))) -pagie,119,GOMEA,GOMEA,30,1,kept,4.0,4.0,egglog-baseline,1.983784-1.077004*((exp(((x1*x1)*(-17.973000+17.206000)))+exp(((-1.143000+0.306000)*(x0*x0))))),(1.983784) - ((1.077004) * ((exp(((x1) * (x1)) * (-0.7669999999999995))) + (exp((-0.837) * ((x0) * (x0)))))),saturated,429.323167,21,6,17,4,48,54,28,2,41,(1.077004 * ((1.8419467337168662 - exp(((x1 * x1) * -0.7669999999999995))) - exp((-0.837 * (x0 * x0))))),saturated,422.895791,17,4,17,4,48,54,28,2,41,(1.077004 * ((1.8419467337168662 - exp(((x1 * x1) * -0.7669999999999995))) - exp((-0.837 * (x0 * x0))))) -pagie,120,Operon,Operon,1,1,kept,12.0,7.0,egglog-baseline,(0.0000018283429881 + (1.0000038146972656 * (((exp((((0.0879114493727684 * x0) * ((-110.2642364501953125) * x0)) + (-1.4756100177764893))) + 1.6358861923217773) / exp(exp((((-1.3751174211502075) * x1) * (0.7306602597236633 * x1))))) - (exp((((0.0290526524186134 * x0) * ((-29.7418365478515625) * x0)) + 0.1625563055276871)) + (-0.3440066277980804))))),(1.0000038146972656) * (((((exp(((-9.69348884031831) * ((x0) * (x0))) + (-1.4756100177764893))) + (1.6358861923217773)) / (exp(exp((-1.0047436520881448) * ((x1) * (x1)))))) - (exp((((x0) * (x0)) * (-0.8640792395159441)) + (0.1625563055276871)))) + (0.3440084561340939)),saturated,582.911625,39,12,31,8,100,112,56,2,77,(1.0000038146972656 * (0.3440084561340939 + (((exp(((-9.69348884031831 * (x0 * x0)) + -1.4756100177764893)) + 1.6358861923217773) / exp(exp((-1.0047436520881448 * (x1 * x1))))) - exp(((-0.8640792395159441 * (x0 * x0)) + 0.1625563055276871))))),saturated,269.520000,31,8,31,8,100,112,56,1,77,(1.0000038146972656 * ((((exp(((-9.69348884031831 * (x0 * x0)) + -1.4756100177764893)) + 1.6358861923217773) / exp(exp((-1.0047436520881448 * (x1 * x1))))) - exp((((x0 * x0) * -0.8640792395159441) + 0.1625563055276871))) + 0.3440084561340939)) -pagie,121,Operon,Operon,2,1,kept,13.0,6.0,egglog-baseline,((-0.0615618973970413) + (1.0497297048568726 * (((((3.4508244991302490 * x0) * (exp(((2.5524139404296875 * x0) * ((-1.6356614828109741) * x0))) * (((2.4663076400756836 * x0) * ((-0.0845688283443451) * x0)) * (3.5071039199829102 * x0)))) - exp(((3.0741317272186279 * x0) * ((-0.2599562704563141) * x0)))) - exp(((0.0030150315724313 * x1) * ((-247.1376800537109375) * x1)))) + 1.9547927379608154))),(1.0497297048568726) * (((((exp((-4.174885170550624) * ((x0) * (x0)))) * (((x0) * ((x0) * (x0))) * ((x0) * (-2.5242308455470654)))) - (exp(((x0) * (x0)) * (-0.7991398186991816)))) - (exp((-0.7451279080993636) * ((x1) * (x1))))) + (1.8961472627378055)),saturated,2584.109708,48,13,34,6,177,185,53,2,74,(1.0497297048568726 * (1.8961472627378055 + (((((-2.524230845547065 * (x0 * (x0 * x0))) * x0) * exp((-4.174885170550624 * (x0 * x0)))) - exp((-0.7991398186991816 * (x0 * x0)))) - exp((-0.7451279080993636 * (x1 * x1)))))),saturated,333.633792,34,6,34,6,177,185,53,1,74,(1.0497297048568726 * ((((exp((-4.174885170550624 * (x0 * x0))) * ((x0 * (x0 * x0)) * (x0 * -2.5242308455470654))) - exp(((x0 * x0) * -0.7991398186991816))) - exp((-0.7451279080993636 * (x1 * x1)))) + 1.8961472627378055)) -pagie,122,Operon,Operon,3,1,kept,13.0,7.0,egglog-baseline,(0.0000011243114386 + (0.9999998211860657 * (((((-1.5812002420425415) + exp((((-0.1428712755441666) * x1) * (6.4702811241149902 * x1)))) + exp(((0.0134312557056546 * x0) * ((-68.7404861450195312) * x0)))) * (-1.2517620325088501)) - ((exp((((-0.0396961532533169) * x1) * (152.2495422363281250 * x1))) + exp(((1.0955569744110107 * x0) * ((-5.6038808822631836) * x0)))) * (-0.2742688059806824))))),(1.2517618086763562) * ((1.5812011402257509) - ((exp((-0.9244173173316528) * ((x1) * (x1)))) + ((exp((-0.9232710467447646) * ((x0) * (x0)))) + (((exp(((x1) * (x1)) * (-6.043721161360626))) + (exp(((x0) * (x0)) * (-6.139370784331959)))) * (-0.21910618700503146))))),saturated,1150.748375,45,13,33,7,158,168,60,2,76,(-1.2517618086763562 * ((-1.5812011402257509 + (exp((-0.9232710467447646 * (x0 * x0))) + exp((-0.9244173173316528 * (x1 * x1))))) + (-0.21910618700503146 * (exp((-6.043721161360626 * (x1 * x1))) + exp((-6.139370784331959 * (x0 * x0))))))),saturated,501.576583,33,7,33,7,96,107,53,2,76,(1.2517618086763562 * (((1.5812011402257509 - exp((-0.9244173173316528 * (x1 * x1)))) - exp((-0.9232710467447646 * (x0 * x0)))) - ((exp(((x1 * x1) * -6.043721161360626)) + exp(((x0 * x0) * -6.139370784331959))) * -0.21910618700503146))) -pagie,123,Operon,Operon,4,1,kept,13.0,8.0,egglog-baseline,(0.0130726965144277 + (0.9919041991233826 * (exp(((((58.9215812683105469 * x0) * exp((((-5.0386314392089844) * x1) * (2.4705743789672852 * x1)))) + (log(((0.4419521391391754 * x0) * (0.1393797099590302 * x0))) / (0.0113436263054609 * x0))) / (381.6167297363281250 * x0))) - (exp(((((-0.8848519921302795) * x1) * (0.9313139915466309 * x1)) + 0.1248256787657738)) + (-0.9970148205757141))))),(0.9919041991233826) * (((exp((((x0) * (exp((-12.448313738768775) * ((x1) * (x1))))) + ((log((6.1599160968991234e-2) * ((x0) * (x0)))) * ((1.4961450344221223) / (x0)))) * ((0.154399890458213) / (x0)))) - (exp((((x1) * (x1)) * (-0.8240750407188386)) + (0.1248256787657738)))) + (1.0101942148417944)),saturated,1144.274458,47,13,37,8,123,135,63,2,86,(0.9919041991233826 * (1.0101942148417944 + (exp(((0.154399890458213 / x0) * ((exp((-12.448313738768775 * (x1 * x1))) * x0) + ((-2.7871070291686837 + log((x0 * x0))) * (1.4961450344221223 / x0))))) - exp((-0.8240750407188386 * ((x1 * x1) + -0.1514736796989855)))))),saturated,421.240750,37,8,37,8,98,108,53,2,86,(0.9919041991233826 * ((exp((((x0 * exp((-12.448313738768775 * (x1 * x1)))) + ((-2.7871070291686837 + log((x0 * x0))) * (1.4961450344221223 / x0))) * (0.154399890458213 / x0))) - exp((-0.8240750407188386 * ((x1 * x1) + -0.1514736796989855)))) + 1.0101942148417944)) -pagie,124,Operon,Operon,5,1,kept,13.0,7.0,egglog-baseline,((-0.0197761859744787) + (1.0117771625518799 * ((exp(((1.6896657943725586 * x1) * ((-1.6174912452697754) * x1))) * ((0.0575970448553562 * x1) * ((-14.7621564865112305) * x1))) - (exp(((0.4481753110885620 * x1) * ((-1.8585087060928345) * x1))) - (1.9719880819320679 - exp((((0.2870940864086151 * x0) * ((-1.9049599170684814) * x0)) / exp((((-0.2803071439266205) * x0) * (0.7164036631584167 * x0)))))))))),(1.0117771625518799) * ((((exp((-2.733019629829414) * ((x1) * (x1)))) * (((x1) * (x1)) * (-0.8502565893153748))) - ((exp(((x1) * (x1)) * (-0.832937717513957))) + (exp(((-0.5469027270358069) * ((x0) * (x0))) / (exp(((x0) * (x0)) * (-0.20081306471850446))))))) + (1.9524420922552503)),saturated,1170.685000,49,13,37,7,148,157,58,2,82,(1.0117771625518799 * (1.9524420922552503 + ((exp((-2.733019629829414 * (x1 * x1))) * (-0.8502565893153748 * (x1 * x1))) - (exp(((-0.5469027270358069 * (x0 * x0)) / exp((-0.20081306471850446 * (x0 * x0))))) + exp((-0.832937717513957 * (x1 * x1))))))),saturated,320.300333,37,7,37,7,148,157,58,1,82,(1.0117771625518799 * (((exp((-2.733019629829414 * (x1 * x1))) * ((x1 * x1) * -0.8502565893153748)) - (exp(((x1 * x1) * -0.832937717513957)) + exp(((-0.5469027270358069 * (x0 * x0)) / exp(((x0 * x0) * -0.20081306471850446)))))) + 1.9524420922552503)) -pagie,125,Operon,Operon,6,1,kept,13.0,8.0,egglog-baseline,(0.0004403672355693 + (0.9997187852859497 * (exp((((-13.4114389419555664) * x0) * (0.2287123352289200 * x0))) - ((-3.1294746398925781) + (exp((exp((((-3.3788871765136719) * x0) * (0.2795567214488983 * x0))) - (-0.1448028236627579))) + ((1.0040752887725830 + ((1.8763431310653687 * x1) * (0.6411635279655457 * x1))) / exp(((1.1580088138580322 * x1) * (1.2662296295166016 * x1))))))))),(0.9997187852859497) * (((exp((-3.067361519194734) * ((x0) * (x0)))) - ((exp((exp(((x0) * (x0)) * (-0.9445906212118871))) + (0.1448028236627579))) + (((1.004075288772583) + ((1.20304278158779) * ((x1) * (x1)))) / (exp((x1) * ((x1) * (1.4663050713484154))))))) + (3.1299151310007285)),saturated,5471.967292,45,13,35,8,140,153,68,2,83,(0.9997187852859497 * (3.1299151310007285 + (exp((-3.067361519194734 * (x0 * x0))) - (exp((exp((-0.9445906212118871 * (x0 * x0))) + 0.1448028236627579)) + (((x1 * x1) + 0.8346131194498276) * (1.20304278158779 / exp((1.4663050713484154 * (x1 * x1))))))))),saturated,569.930583,35,8,35,8,140,153,68,2,83,(0.9997187852859497 * ((exp((-3.067361519194734 * (x0 * x0))) - (exp((exp(((x0 * x0) * -0.9445906212118871)) + 0.1448028236627579)) + (1.20304278158779 * (((x1 * x1) + 0.8346131194498276) / exp((x1 * (x1 * 1.4663050713484154))))))) + 3.1299151310007285)) -pagie,126,Operon,Operon,7,1,kept,12.0,7.0,egglog-baseline,(0.0028247879818082 + (0.9984024167060852 * (0.7176343202590942 - ((exp(((4.5870537757873535 * x1) * ((-0.0708576515316963) * x1))) / ((((-2.5320065021514893) * x1) * ((-0.5026428699493408) * x1)) + exp((((-1.5353101491928101) * x1) * (1.0705516338348389 * x1))))) + ((-3.4508912563323975) / exp(exp(exp(((1.6964559555053711 * x0) * ((-0.5267499089241028) * x0)))))))))),(2.8247879818082e-3) + ((0.9984024167060852) * ((0.7176343202590942) - (((exp((-0.3250278580018921) * ((x1) * (x1)))) / ((((x1) * (x1)) * (1.2726950149718164)) + (exp(((x1) * (x1)) * (-1.643628788661573))))) + ((-3.4508912563323975) / (exp(exp(exp((-0.893608020056206) * ((x0) * (x0)))))))))),saturated,510.356209,44,12,36,8,107,118,57,2,84,(0.0028247879818082 + (0.9984024167060852 * (0.7176343202590942 - ((exp((-0.3250278580018921 * (x1 * x1))) / ((1.2726950149718164 * (x1 * x1)) + exp((-1.643628788661573 * (x1 * x1))))) + (-3.4508912563323975 / exp(exp(exp((-0.893608020056206 * (x0 * x0)))))))))),saturated,273.143042,36,8,36,8,107,118,57,1,84,(0.0028247879818082 + (0.9984024167060852 * (0.7176343202590942 - ((exp((-0.3250278580018921 * (x1 * x1))) / (((x1 * x1) * 1.2726950149718164) + exp(((x1 * x1) * -1.643628788661573)))) + (-3.4508912563323975 / exp(exp(exp((-0.893608020056206 * (x0 * x0)))))))))) -pagie,127,Operon,Operon,8,1,kept,13.0,7.0,egglog-baseline,((-0.0218773111701012) + (1.0134590864181519 * ((((((-0.3641613721847534) * x0) * (2.2286646366119385 * x0)) * exp((((-2.4582626819610596) * x0) * (1.0862829685211182 * x0)))) + (1.9716572761535645 - exp(((((-2.4894037246704102) * x1) * (0.2193875461816788 * x1)) * exp((((-0.4357891678810120) * x1) * ((-0.4778871238231659) * x1))))))) - exp((((-1.3948150873184204) * x0) * (0.5922598838806152 * x0)))))),(-2.18773111701012e-2) + ((1.0134590864181519) * (((((-0.8115935722082384) * ((x0) * (x0))) * (exp(((x0) * (x0)) * (-2.670368883565345)))) + ((1.9716572761535645) - (exp(((-0.5461441746109729) * ((x1) * (x1))) * (exp(((x1) * (x1)) * (0.20825803203194762))))))) - (exp(((x0) * (x0)) * (-0.8260930216501379))))),saturated,893.148917,49,13,39,8,160,171,64,2,89,(-0.0218773111701012 + (1.0134590864181519 * ((((-0.8115935722082384 * (x0 * x0)) * exp((-2.670368883565345 * (x0 * x0)))) + (1.9716572761535645 - exp(((-0.5461441746109729 * (x1 * x1)) * exp((0.20825803203194762 * (x1 * x1))))))) - exp((-0.8260930216501379 * (x0 * x0)))))),saturated,308.048333,39,8,39,8,160,171,64,1,89,(-0.0218773111701012 + (1.0134590864181519 * ((((-0.8115935722082384 * (x0 * x0)) * exp(((x0 * x0) * -2.670368883565345))) + (1.9716572761535645 - exp(((-0.5461441746109729 * (x1 * x1)) * exp(((x1 * x1) * 0.20825803203194762)))))) - exp(((x0 * x0) * -0.8260930216501379))))) -pagie,128,Operon,Operon,9,1,kept,13.0,7.0,egglog-baseline,((-0.0000084446337496) + (1.0000045299530029 * ((((exp(((1.8677622079849243 * x1) * ((-3.2215218544006348) * x1))) + exp(((4.2088832855224609 * x0) * ((-1.4519027471542358) * x0)))) * 0.2748067975044250) - ((exp(((0.5492876768112183 * x1) * ((-1.6836870908737183) * x1))) + exp(((1.3932512998580933 * x0) * ((-0.6629599928855896) * x0)))) * 1.2524310350418091)) + 1.9792671203613281))),(0.2748080423663026) * ((((exp((-6.0170367718470175) * ((x1) * (x1)))) + (exp((-6.110889204701607) * ((x0) * (x0))))) - (((exp(((x1) * (x1)) * (-0.9248285706230632))) + (exp(((x0) * (x0)) * (-0.92366987184176)))) * (4.5574965627320125))) + (7.20236432919372)),saturated,1448.365625,45,13,33,7,158,168,60,2,76,(0.2748080423663026 * (7.20236432919372 + ((exp((-6.0170367718470175 * (x1 * x1))) + exp((-6.110889204701607 * (x0 * x0)))) + (-4.5574965627320125 * (exp((-0.9248285706230632 * (x1 * x1))) + exp((-0.92366987184176 * (x0 * x0)))))))),saturated,552.297708,33,7,33,7,158,168,60,2,76,(0.2748080423663026 * (((exp((-6.0170367718470175 * (x1 * x1))) + exp((-6.110889204701607 * (x0 * x0)))) + (-4.5574965627320125 * (exp(((x1 * x1) * -0.9248285706230632)) + exp(((x0 * x0) * -0.92366987184176))))) + 7.20236432919372)) -pagie,129,Operon,Operon,10,1,kept,14.0,8.0,egglog-baseline,(0.0000002913372725 + (1.0000000000000000 * ((1.0092900991439819 / ((((-9.8911437988281250) * x0) * ((-0.0619828216731548) * x0)) - exp((((-5.2376017570495605) * x0) * ((-0.1814788132905960) * x0))))) + ((2.9227268695831299 / ((-1.9528466463088989) - exp((((-1044.4626464843750000) * x1) * ((-0.0013573808828369) * x1))))) + (((241.8676300048828125 * x1) * (0.0000091869978860 * x1)) - (-1.9428678750991821)))))),((1.009290099143982) / (((0.6130810022262947) * ((x0) * (x0))) - (exp(((x0) * (x0)) * (0.9505137513580948))))) + ((((2.92272686958313) / ((-1.952846646308899) - (exp((1.417733629175126) * ((x1) * (x1)))))) + (((x1) * (x1)) * (2.2220374055466887e-3))) + (1.9428681664364547)),saturated,17946.628375,45,14,33,8,226,239,78,2,81,((1.9428681664364547 + (0.0022220374055466887 * (x1 * x1))) + ((1.009290099143982 / ((0.6130810022262947 * (x0 * x0)) - exp((0.9505137513580948 * (x0 * x0))))) + (2.92272686958313 / (-1.952846646308899 - exp((1.417733629175126 * (x1 * x1))))))),saturated,466.167417,33,8,33,8,226,239,78,1,81,((1.009290099143982 / ((0.6130810022262947 * (x0 * x0)) - exp(((x0 * x0) * 0.9505137513580948)))) + (((2.92272686958313 / (-1.952846646308899 - exp((1.417733629175126 * (x1 * x1))))) + ((x1 * x1) * 0.0022220374055466887)) + 1.9428681664364547)) -pagie,130,Operon,Operon,11,1,kept,13.0,8.0,egglog-baseline,((-0.0000135196241899) + (1.0000069141387939 * ((1.2255471944808960 * exp(((-1.7740323543548584) * exp(((2.9035081863403320 * x1) * ((-0.4098204970359802) * x1)))))) - ((1.2498761415481567 * exp(((0.1515025645494461 * x0) * ((-6.0828857421875000) * x0)))) + ((-0.7505750060081482) - (0.2749604582786560 * exp(((1.1432402133941650 * x0) * ((-5.4770793914794922) * x0))))))))),(1.2255556680842972) * (((exp((-1.7740323543548584) * (exp((-1.1899171680740324) * ((x1) * (x1)))))) - ((exp((-0.9215727898026671) * ((x0) * (x0)))) * (1.019851497499911))) + ((0.6124296884342743) + ((exp(((x0) * (x0)) * (-6.261617412291798))) * (0.22435729894116463)))),saturated,10126.087750,41,13,31,8,204,218,78,2,77,(1.2255556680842972 * ((0.6124296884342744 + (exp((-1.7740323543548584 * exp((-1.1899171680740324 * (x1 * x1))))) + (-1.0198514974999113 * exp((-0.9215727898026671 * (x0 * x0)))))) + (0.22435729894116463 * exp((-6.261617412291798 * (x0 * x0)))))),saturated,773.472500,31,8,31,8,232,248,90,2,77,(1.2255556680842972 * ((exp((-1.7740323543548584 * exp((-1.1899171680740324 * (x1 * x1))))) + (-1.019851497499911 * exp((-0.9215727898026671 * (x0 * x0))))) + (0.6124296884342743 + (exp(((x0 * x0) * -6.261617412291798)) * 0.22435729894116463)))) -pagie,131,Operon,Operon,12,1,kept,14.0,6.0,egglog-baseline,((-0.0001345924683847) + (1.0000907182693481 * (((0.0052004987373948 * x0) * ((-5.5132131576538086) * x0)) - (log((((-29.4069671630859375) * x1) * (((-0.0669591948390007) + (((7.1831178665161133 * x0) * ((-12.8945026397705078) * x0)) * (((-0.0048121302388608) * x0) * ((-3.7251195907592773) * x0)))) * (11.7470531463623047 * x1)))) * ((-0.1758960038423538) + ((5.9699630737304688 * x1) * (0.0000638487472315 * x1))))))),(-1.345924683847e-4) + ((((x0) * (x0)) - ((log(((((x0) * (x0)) * ((x0) * (x0))) + (4.032877607032475e-2)) * (((x1) * (x1)) * (573.5540504295212)))) * ((((x1) * (x1)) + (-461.4577535941546)) * (-1.3294568501084911e-2)))) * (-2.867405909042241e-2)),saturated,3166.378875,48,14,32,6,351,376,132,2,72,(-0.02867405909042241 * (((x0 * x0) + (0.013294568501084911 * (log(((573.5540504295212 * (x1 * (((x0 * x0) * (x0 * x0)) + 0.04032877607032475))) * x1)) * ((x1 * x1) + -461.4577535941546)))) + 0.004693875672093318)),saturated,664.715208,32,6,32,6,129,139,54,2,72,(-0.02867405909042241 * (((x0 * x0) + (0.013294568501084911 * (log(((((x0 * x0) * (x0 * x0)) + 0.04032877607032475) * ((x1 * x1) * 573.5540504295212))) * ((x1 * x1) + -461.4577535941546)))) + 0.004693875672093318)) -pagie,132,Operon,Operon,13,1,kept,12.0,8.0,egglog-baseline,((-0.0000847672417876) + (1.0000656843185425 * ((exp((((-1.8279364109039307) * x1) * (2.2386462688446045 * x1))) - ((-1.5547065734863281) + ((-1.6497515439987183) / exp(exp(((0.0022635490167886 * x0) * ((-443.1721801757812500) * x0))))))) - exp(exp(((-1.6148645877838135) + exp((0.5693863630294800 + ((0.0016070556594059 * x1) * ((-348.2632751464843750) * x1)))))))))),(-8.47672417876e-5) + ((1.0000656843185425) * (((exp((-4.092103025955282) * ((x1) * (x1)))) - ((-1.5547065734863281) + ((-1.6497515439987183) / (exp(exp((-1.00314195270495) * ((x0) * (x0)))))))) - (exp(exp((-1.6148645877838135) + (exp((0.56938636302948) + (((x1) * (x1)) * (-0.5596784672873918))))))))),saturated,698.869792,41,12,35,9,125,140,70,2,86,(-8.47672417876e-05 + (1.0000656843185425 * ((exp((-4.092103025955282 * (x1 * x1))) - (-1.5547065734863281 + (-1.6497515439987183 / exp(exp((-1.00314195270495 * (x0 * x0))))))) - exp(exp((-1.6148645877838135 + exp((0.56938636302948 + (-0.5596784672873918 * (x1 * x1)))))))))),saturated,312.986167,35,9,35,9,125,140,70,1,86,(-8.47672417876e-05 + (1.0000656843185425 * ((exp((-4.092103025955282 * (x1 * x1))) - (-1.5547065734863281 + (-1.6497515439987183 / exp(exp((-1.00314195270495 * (x0 * x0))))))) - exp(exp((-1.6148645877838135 + exp((0.56938636302948 + ((x1 * x1) * -0.5596784672873918))))))))) -pagie,133,Operon,Operon,14,1,kept,13.0,8.0,egglog-baseline,(0.0049303476698697 + (0.9968529939651489 * ((((exp((((-0.1228989660739899) * x1) * (28.5782623291015625 * x1))) - (0.0001418351894245 * x0)) - exp((((-0.9014899730682373) * x1) * (0.9040312170982361 * x1)))) - exp((((-0.1503573954105377) * x1) * (16.6330261230468750 * x1)))) + (((-1.0727374553680420) * exp((((-0.1865450739860535) * x0) * (4.1227397918701172 * x0)))) - (-1.9877362251281738))))),(0.9968529939651489) * ((((((exp((-3.5122388924378365) * ((x1) * (x1)))) + ((x0) * (-1.418351894245e-4))) - (exp(((x1) * (x1)) * (-0.8149750775547346)))) - (exp(((x1) * (x1)) * (-2.5008984856567618)))) + ((-1.072737455368042) * (exp((-0.7690767994996578) * ((x0) * (x0)))))) + (1.9926821376144859)),saturated,751.192000,47,13,37,8,113,124,57,2,86,(0.9968529939651489 * ((1.9926821376144859 + (-1.072737455368042 * exp((-0.7690767994996578 * (x0 * x0))))) + (((exp((-3.5122388924378365 * (x1 * x1))) + (-0.0001418351894245 * x0)) - exp((-0.8149750775547346 * (x1 * x1)))) - exp((-2.5008984856567618 * (x1 * x1)))))),saturated,318.774292,37,8,37,8,113,124,57,1,86,(0.9968529939651489 * (((((exp((-3.5122388924378365 * (x1 * x1))) + (x0 * -0.0001418351894245)) - exp(((x1 * x1) * -0.8149750775547346))) - exp(((x1 * x1) * -2.5008984856567618))) + (-1.072737455368042 * exp((-0.7690767994996578 * (x0 * x0))))) + 1.9926821376144859)) -pagie,134,Operon,Operon,15,1,kept,15.0,7.0,egglog-baseline,((-0.0000022516087483) + (1.0000016689300537 * (((((51.6682472229003906 * x0) * ((-0.0001894439337775) * x0)) + 2.5324115753173828) + ((-46.3591499328613281) / (((13.0968494415283203 * x0) * (2.1884925365447998 * x0)) + 34.0089225769042969))) + (((-1351.7908935546875000) / (((17.2840843200683594 * x1) * (47.4518127441406250 * x1)) + 990.7814331054687500)) + ((0.0012052881065756 * x1) * ((-8.2380609512329102) * x1)))))),(-9.788252341175882e-3) * (((x0) * (x0)) + ((((((x1) * (x1)) + ((165.99479114520634) / (((x1) * (x1)) + (1.2080326581103884)))) + ((162.89497489770397) / (((x0) * (x0)) + (1.186536134285651)))) * (1.0144051369822908)) + (-258.7196837451166))),saturated,10573.086042,45,15,29,7,1573,1593,319,2,72,(-0.009788252341175882 * ((((x0 * x0) + -258.7196837451166) + (165.24149932483223 / ((x0 * x0) + 1.186536134285651))) + (1.0144051369822908 * ((x1 * x1) + (165.99479114520634 / ((x1 * x1) + 1.2080326581103884)))))),saturated,470.833250,29,7,29,7,110,119,46,2,72,(-0.009788252341175882 * ((x0 * x0) + (1.0144051369822908 * ((((x1 * x1) + (165.99479114520634 / ((x1 * x1) + 1.2080326581103884))) + (162.89497489770397 / ((x0 * x0) + 1.186536134285651))) + -255.0457152797652)))) -pagie,135,Operon,Operon,16,1,kept,13.0,8.0,egglog-baseline,(0.0071523520164192 + (0.9955711960792542 * (((exp(((0.0195227134972811 * x1) * ((-151.1385955810546875) * x1))) * ((396057.1250000000000000 * x1) * ((-0.0000024948039936) * x1))) + ((85.4024658203125000 * x1) / ((43.1343650817871094 * x1) - (((-47.3760452270507812) * x1) * exp(((0.9379857182502747 * x0) * ((-1.2238332033157349) * x0))))))) - exp(((185448.0000000000000000 * x1) * ((-0.0000044009234443) * x1)))))),(7.1523520164192e-3) + ((0.9955711960792542) * (((x1) * (((exp((-2.9506354999103657) * ((x1) * (x1)))) * ((x1) * (-0.9880848971437344))) + ((1.9799170721159522) / ((x1) - ((exp((-1.147938066230644) * ((x0) * (x0)))) * ((x1) * (-1.0983364455978666))))))) - (exp(((x1) * (x1)) * (-0.8161424508985464))))),saturated,6944.076875,50,13,36,8,126,138,62,2,85,(0.0071523520164192 + (0.9955711960792542 * ((x1 * ((exp((-2.9506354999103657 * (x1 * x1))) * (-0.9880848971437344 * x1)) + (1.8026507998086212 / (x1 * (exp((-1.147938066230644 * (x0 * x0))) + 0.9104678297874944))))) - exp((-0.8161424508985464 * (x1 * x1)))))),saturated,553.503333,38,8,38,8,139,151,65,2,88,(0.0071523520164192 + (0.9955711960792542 * ((x1 * ((exp((-2.9506354999103657 * (x1 * x1))) * (x1 * -0.9880848971437344)) + (1.9799170721159522 / (x1 + (1.0983364455978666 * (exp((-1.147938066230644 * (x0 * x0))) * x1)))))) - exp(((x1 * x1) * -0.8161424508985464))))) -pagie,136,Operon,Operon,17,1,kept,13.0,8.0,egglog-baseline,(0.0005329695995897 + (0.9996598958969116 * (((2.9738872051239014 + exp(((100.4859924316406250 * x1) * ((-0.0308157186955214) * x1)))) - ((((0.7702111005783081 * x0) * (1.5427883863449097 * x0)) + 1.0054689645767212) * exp((((-1.7126119136810303) * x0) * (0.8499408960342407 * x0))))) - exp(exp((((100.9902267456054688 * x1) * ((-0.0091333612799644) * x1)) + 0.0902468413114548)))))),(5.329695995897e-4) + ((0.9996598958969116) * ((((2.9738872051239014) + (exp((-3.09654807561373) * ((x1) * (x1))))) - ((((1.1882727410061449) * ((x0) * (x0))) + (1.0054689645767212)) * (exp((x0) * ((x0) * (-1.4556189044729706)))))) - (exp(exp((((x1) * (x1)) * (-0.9223802266131381)) + (9.02468413114548e-2)))))),saturated,1779.412625,45,13,37,9,138,152,69,2,90,(0.0005329695995897 + (0.9996598958969116 * (((2.9738872051239014 + exp((-3.09654807561373 * (x1 * x1)))) + (-1.1882727410061449 * (exp((-1.4556189044729706 * (x0 * x0))) * ((x0 * x0) + 0.8461600858783999)))) - exp(exp(((-0.9223802266131381 * (x1 * x1)) + 0.0902468413114548)))))),saturated,586.376667,37,9,37,9,138,152,69,2,90,(0.0005329695995897 + (0.9996598958969116 * (((2.9738872051239014 + exp((-3.09654807561373 * (x1 * x1)))) + (-1.1882727410061449 * (exp((x0 * (x0 * -1.4556189044729706))) * ((x0 * x0) + 0.8461600858783999)))) - exp(exp((((x1 * x1) * -0.9223802266131381) + 0.0902468413114548)))))) -pagie,137,Operon,Operon,18,1,kept,14.0,7.0,egglog-baseline,(0.0000816054744064 + (1.0001157522201538 * (((((-0.0021946807391942) * x0) * (13.7494821548461914 * x0)) + (-8.4071483612060547)) + ((log((((6955.1982421875000000 * x1) * (16.8089103698730469 * x1)) + 27880.0878906250000000)) + log((((85251.5703125000000000 * x0) * (3.5084772109985352 * x0)) + 63949.3125000000000000))) * (((1.2129596471786499 * x1) * ((-0.0008703975472599) * x1)) + 0.3835373818874359))))),((7963.069109938157) + ((((24.277697647852335) + ((log(((x1) * (x1)) + (0.23847621165016322))) + (log(((x0) * (x0)) + (0.213803510917648))))) * (((x1) * (x1)) + (-363.2818393765012))) + (((x0) * (x0)) * (28.582070257300213)))) * (-1.0558793080580105e-3),saturated,8238.436542,45,14,31,7,74,83,42,2,74,(-0.0010558793080580105 * ((((24.277697647852335 + log(((x1 * x1) + 0.23847621165016322))) + log(((x0 * x0) + 0.213803510917648))) * ((x1 * x1) + -363.2818393765012)) + (28.582070257300217 * (278.60365040927337 + (x0 * x0))))),saturated,302.445250,31,7,31,7,97,107,49,1,74,((7963.069109938157 + (((24.277697647852335 + (log(((x1 * x1) + 0.23847621165016322)) + log(((x0 * x0) + 0.213803510917648)))) * ((x1 * x1) + -363.2818393765012)) + ((x0 * x0) * 28.582070257300213))) * -0.0010558793080580105) -pagie,138,Operon,Operon,19,1,kept,12.0,9.0,egglog-baseline,((-0.0000098704376796) + (1.0000013113021851 * ((exp(exp(((-0.1284630000591278) - exp((((-1.7482314109802246) * x0) * (0.6576864719390869 * x0)))))) - exp((0.2162327617406845 + (((-0.0238646697252989) * x1) * (38.5694580078125000 * x1))))) - exp((((-0.9399499893188477) - exp(((1.4266452789306641 * x1) * ((-5.3529791831970215) * x1)))) * 0.8908159136772156))))),(-9.8704376796e-6) + ((1.000001311302185) * (((exp(exp((-0.1284630000591278) - (exp((-1.1497881488206758) * ((x0) * (x0))))))) - (exp((0.2162327617406845) + ((-0.9204473768402301) * ((x1) * (x1)))))) - (exp(((-0.9399499893188477) - (exp(((x1) * (x1)) * (-7.636802479922153)))) * (0.8908159136772156))))),saturated,611.534209,41,12,35,9,108,121,62,2,86,(-9.8704376796e-06 + (1.000001311302185 * ((exp(exp((-0.1284630000591278 - exp((-1.1497881488206758 * (x0 * x0)))))) - exp((0.2162327617406845 + (-0.9204473768402301 * (x1 * x1))))) - exp(((-0.9399499893188477 - exp((-7.636802479922153 * (x1 * x1)))) * 0.8908159136772156))))),saturated,283.167834,35,9,35,9,108,121,62,1,86,(-9.8704376796e-06 + (1.000001311302185 * ((exp(exp((-0.1284630000591278 - exp((-1.1497881488206758 * (x0 * x0)))))) - exp((0.2162327617406845 + (-0.9204473768402301 * (x1 * x1))))) - exp(((-0.9399499893188477 - exp(((x1 * x1) * -7.636802479922153))) * 0.8908159136772156))))) -pagie,139,Operon,Operon,20,1,kept,14.0,8.0,egglog-baseline,((-0.0000002506655221) + (1.0000001192092896 * (((((-0.0002352308656555) * x0) + 1.9712915420532227) - (exp((((-0.0005102988216095) * x1) * (2861.8625488281250000 * x1))) * (1.0045522451400757 + ((0.0003667365817819 * x1) * (3236.1384277343750000 * x1))))) + (exp((((-0.0249317195266485) * x0) * (58.4497108459472656 * x0))) * ((-1.0050251483917236) + (((-0.0338098518550396) * x0) * (35.2732009887695312 * x0))))))),(1.0000001192092896) * (((-2.3523086565550004e-4) * (x0)) + (((exp((-1.4604050862753524) * ((x1) * (x1)))) * ((((x1) * (x1)) + (0.8464303072824536)) * (-1.186810345160357))) + (((exp((-1.4572517972248622) * ((x0) * (x0)))) * ((-1.0050251483917236) + (((x0) * (x0)) * (-1.192581699883334)))) + (1.9712912913877296)))),saturated,11440.378500,47,14,35,8,255,270,91,2,84,(-0.00023523089369720438 * (((-8380.240772801997 + x0) + (5045.300249408862 * (exp((-1.4604050862753524 * (x1 * x1))) * ((x1 * x1) + 0.8464303072824536)))) + (5069.835102464369 * (exp((-1.4572517972248622 * (x0 * x0))) * ((x0 * x0) + 0.842730647711634))))),saturated,1726.332417,37,9,35,8,241,255,85,2,84,(-0.0002352308936972044 * (((x0 + (5045.300249408863 * (exp((-1.4604050862753524 * (x1 * x1))) * ((x1 * x1) + 0.8464303072824536)))) + -8380.240772801993) + (5069.835102464368 * (exp((-1.4572517972248622 * (x0 * x0))) * ((x0 * x0) + 0.842730647711634))))) -pagie,140,Operon,Operon,21,1,kept,13.0,8.0,egglog-baseline,(0.0056000440381467 + (0.9965137243270874 * ((0.7391300201416016 + (exp((((-26.2499160766601562) * x1) * (0.1143757924437523 * x1))) * (((-49.5787200927734375) * x1) * (0.0202242378145456 * x1)))) - (exp(((2.2524499893188477 * x1) * ((-0.3599792122840881) * x1))) + (exp((exp((((-0.7799134254455566) * x0) * (1.5038967132568359 * x0))) * (-1.7264224290847778))) * (-1.2398984432220459)))))),(5.6000440381467e-3) + ((0.9965137243270874) * (((0.7391300201416016) + ((exp((-3.002354952849999) * ((x1) * (x1)))) * (((x1) * (x1)) * (-1.0026918256970403)))) - ((exp(((x1) * (x1)) * (-0.8108351728643014))) + ((exp((exp((-1.172909237152453) * ((x0) * (x0)))) * (-1.7264224290847778))) * (-1.239898443222046))))),saturated,2481.756542,45,13,37,9,159,173,72,2,90,(0.9965137243270874 * ((((0.7391300201416016 + (exp((-3.002354952849999 * (x1 * x1))) * (-1.0026918256970403 * (x1 * x1)))) - exp((-0.8108351728643014 * (x1 * x1)))) + (1.239898443222046 * exp((exp((-1.172909237152453 * (x0 * x0))) * -1.7264224290847778)))) + 0.005619635637159161)),saturated,815.981334,37,9,37,9,151,164,68,2,90,(0.9965137243270874 * ((((0.7391300201416016 + (exp((-3.002354952849999 * (x1 * x1))) * ((x1 * x1) * -1.0026918256970403))) - exp(((x1 * x1) * -0.8108351728643014))) + (1.239898443222046 * exp((exp((-1.172909237152453 * (x0 * x0))) * -1.7264224290847778)))) + 0.005619635637159161)) -pagie,141,Operon,Operon,22,1,kept,12.0,7.0,egglog-baseline,(0.0059260418638587 + (0.9963514208793640 * (((1.9877398014068604 + ((((-0.0255243461579084) * x1) * (39.2693595886230469 * x1)) * exp((((-0.0006980864563957) * x1) * (4245.9946289062500000 * x1))))) - exp((((-0.0209862142801285) * x1) * (38.7934265136718750 * x1)))) - exp((exp((-2.6416935920715332)) + ((0.0101619474589825 * x0) * ((-75.6802444458007812) * x0))))))),(5.9260418638587e-3) + ((0.996351420879364) * ((((1.9877398014068604) + (((-1.002324727539394) * ((x1) * (x1))) * (exp(((x1) * (x1)) * (-2.9640713443683393))))) - (exp(((x1) * (x1)) * (-0.8141271614763362)))) - (exp((7.124051495942774e-2) + ((-0.7690586677411797) * ((x0) * (x0))))))),saturated,1079.186042,43,12,34,8,140,153,65,2,82,(0.0059260418638587 + (0.996351420879364 * (((1.9877398014068604 + ((-1.002324727539394 * (x1 * x1)) * exp((-2.9640713443683393 * (x1 * x1))))) - exp((-0.8141271614763362 * (x1 * x1)))) - exp((0.07124051495942774 + (-0.7690586677411797 * (x0 * x0))))))),saturated,524.927291,34,8,34,8,140,153,65,1,82,(0.0059260418638587 + (0.996351420879364 * (((1.9877398014068604 + ((-1.002324727539394 * (x1 * x1)) * exp(((x1 * x1) * -2.9640713443683393)))) - exp(((x1 * x1) * -0.8141271614763362))) - exp((0.07124051495942774 + (-0.7690586677411797 * (x0 * x0))))))) -pagie,142,Operon,Operon,23,1,kept,13.0,8.0,egglog-baseline,(0.0007810645620339 + (0.9995014071464539 * (((((-1.0057448148727417) + ((0.7655488848686218 * x0) * ((-1.5458080768585205) * x0))) * exp(((0.4586827158927917 * x0) * ((-3.1686115264892578) * x0)))) + (2.9749636650085449 + exp(((-0.3110347986221313) + ((3.0109248161315918 * x1) * ((-1.1550782918930054) * x1)))))) - exp(exp(((23.0867309570312500 * x1) * ((-0.0377156287431717) * x1))))))),(7.810645620339e-4) + ((0.9995014071464539) * (((((-1.0057448148727417) + ((-1.1833916494599492) * ((x0) * (x0)))) * (exp(((x0) * (x0)) * (-1.4533873405792972)))) + ((2.974963665008545) + (exp((-0.3110347986221313) + ((-3.4778538936355403) * ((x1) * (x1))))))) - (exp(exp(((x1) * (x1)) * (-0.8707305736688796)))))),saturated,1540.907292,45,13,37,9,151,166,74,2,90,(0.0007810645620339 + (0.9995014071464539 * ((((-1.0057448148727417 + (-1.1833916494599492 * (x0 * x0))) * exp((-1.4533873405792972 * (x0 * x0)))) + (2.974963665008545 + exp((-0.3110347986221313 + (-3.4778538936355403 * (x1 * x1)))))) - exp(exp((-0.8707305736688796 * (x1 * x1))))))),saturated,361.634625,37,9,37,9,151,166,74,1,90,(0.0007810645620339 + (0.9995014071464539 * ((((-1.0057448148727417 + (-1.1833916494599492 * (x0 * x0))) * exp(((x0 * x0) * -1.4533873405792972))) + (2.974963665008545 + exp((-0.3110347986221313 + (-3.4778538936355403 * (x1 * x1)))))) - exp(exp(((x1 * x1) * -0.8707305736688796)))))) -pagie,143,Operon,Operon,24,1,kept,13.0,9.0,egglog-baseline,(0.0049892361275852 + (0.9968150258064270 * (exp(((-0.7375680804252625) / (exp((((-7.8003888130187988) * x1) * ((-0.0912654846906662) * x1))) - 0.9434194564819336))) - (exp(((((-11.2235412597656250) * x0) * (0.0819300860166550 * x0)) - (exp(((((-56.8530616760253906) * x0) * (0.1006406396627426 * x0)) - 1.4147840738296509)) - 0.2206120193004608))) - 0.9837305545806885)))),(0.996815025806427) * (((exp((-0.7375680804252625) / ((exp((0.7119062657958111) * ((x1) * (x1)))) + (-0.9434194564819336)))) - (exp(((-0.919545700824074) * ((x0) * (x0))) - ((exp((((x0) * (x0)) * (-5.721728493860552)) + (-1.4147840738296509))) + (-0.2206120193004608))))) + (0.9887357320694095)),saturated,804.962750,41,13,33,9,125,141,71,2,84,(0.996815025806427 * (0.9887357320694095 + (exp((-0.7375680804252625 / (exp((0.7119062657958111 * (x1 * x1))) + -0.9434194564819336))) - exp(((-0.919545700824074 * (x0 * x0)) - (exp(((-5.721728493860552 * (x0 * x0)) + -1.4147840738296509)) + -0.2206120193004608)))))),saturated,324.256375,33,9,33,9,125,141,71,1,84,(0.996815025806427 * ((exp((-0.7375680804252625 / (exp((0.7119062657958111 * (x1 * x1))) + -0.9434194564819336))) - exp(((-0.919545700824074 * (x0 * x0)) - (exp((((x0 * x0) * -5.721728493860552) + -1.4147840738296509)) + -0.2206120193004608)))) + 0.9887357320694095)) -pagie,144,Operon,Operon,25,1,kept,13.0,7.0,egglog-baseline,((-0.0000055456266637) + (1.0000027418136597 * ((((exp((((-4.2250251770019531) * x1) * (1.4258037805557251 * x1))) + exp((((-1.1716369390487671) * x0) * (5.2204809188842773 * x0)))) * 0.2746707499027252) - (-1.9792732000350952)) - ((exp((((-1.7990413904190063) * x1) * (0.5140095949172974 * x1))) + exp(((1.8088867664337158 * x0) * ((-0.5105684995651245) * x0)))) * 1.2522673606872559)))),(1.252270794171011) * (((((exp((-6.024056870312506) * ((x1) * (x1)))) + (exp((-6.11650828416407) * ((x0) * (x0))))) * (0.21933874388611657)) - ((exp(((x1) * (x1)) * (-0.9247245363287249))) + (exp(((x0) * (x0)) * (-0.9235606022212721))))) + (1.580547187093814)),saturated,2069.105958,45,13,33,7,158,168,60,2,76,(0.2746715029987392 * ((7.205964432414428 + (exp((-6.024056870312506 * (x1 * x1))) + exp((-6.11650828416407 * (x0 * x0))))) + (-4.559158050614224 * (exp((-0.9247245363287249 * (x1 * x1))) + exp((-0.9235606022212721 * (x0 * x0))))))),saturated,272.566667,33,7,33,7,93,102,48,1,76,(1.252270794171011 * ((((exp((-6.024056870312506 * (x1 * x1))) + exp((-6.11650828416407 * (x0 * x0)))) * 0.21933874388611657) - (exp(((x1 * x1) * -0.9247245363287249)) + exp(((x0 * x0) * -0.9235606022212721)))) + 1.580547187093814)) -pagie,145,Operon,Operon,26,1,kept,12.0,8.0,egglog-baseline,((-0.0001599656243343) + (1.0001020431518555 * ((exp(((25.9337768554687500 * x1) * ((-0.1575351804494858) * x1))) - (exp(exp(exp(((17.7164573669433594 * x1) * ((-0.0314616635441780) * x1))))) * 0.1594999134540558)) - ((-1.1739871501922607) - (exp((exp((((-0.3572374880313873) * x0) * (3.2828271389007568 * x0))) * (-1.7236351966857910))) * 1.2407730817794800))))),(1.0001020431518555) * (((exp((exp((-1.1727489207421724) * ((x0) * (x0)))) * (-1.723635196685791))) * (1.24077308177948)) + (((exp((-4.085482216662968) * ((x1) * (x1)))) - ((exp(exp(exp(((x1) * (x1)) * (-0.5573892208735457))))) * (0.1594999134540558))) + (1.173827200889657))),saturated,2357.665542,41,12,33,8,236,252,92,2,79,(1.0001020431518555 * ((1.1738272008896573 + (exp((-4.085482216662968 * (x1 * x1))) + (-0.1594999134540558 * exp(exp(exp((-0.5573892208735457 * (x1 * x1)))))))) + (exp((exp((-1.1727489207421724 * (x0 * x0))) * -1.723635196685791)) * 1.24077308177948))),saturated,735.114667,33,8,33,8,208,222,80,2,79,(1.0001020431518555 * ((exp((exp((-1.1727489207421724 * (x0 * x0))) * -1.723635196685791)) * 1.24077308177948) + ((exp((-4.085482216662968 * (x1 * x1))) + (-0.1594999134540558 * exp(exp(exp(((x1 * x1) * -0.5573892208735457)))))) + 1.173827200889657))) -pagie,146,Operon,Operon,27,1,kept,13.0,6.0,egglog-baseline,((-0.0639297738671303) + (1.0392827987670898 * ((1.9780735969543457 + ((exp((((-2.4385366439819336) * x1) * (2.2576689720153809 * x1))) * ((((-10.0973072052001953) * x1) * (391.6708374023437500 * x1)) * (((-0.0011133030056953) * x1) * ((-1.3449389934539795) * x1)))) - exp((((-1.7093311548233032) * x1) * (0.4650919437408447 * x1))))) - exp((((-1.2320897579193115) * x0) * (0.5889392495155334 * x0)))))),(-6.39297738671303e-2) + ((1.0392827987670898) * (((1.9780735969543457) + (((exp((-5.505408518240529) * ((x1) * (x1)))) * ((-5.921650519847204) * (((x1) * (x1)) * ((x1) * (x1))))) - (exp(((x1) * (x1)) * (-0.7949961492935529))))) - (exp((-0.7256260173647746) * ((x0) * (x0)))))),saturated,3037.407958,48,13,36,7,191,201,61,2,81,(-0.0639297738671303 + (1.0392827987670898 * ((1.9780735969543457 + ((exp((-5.505408518240529 * (x1 * x1))) * (-5.921650519847204 * ((x1 * x1) * (x1 * x1)))) - exp((-0.7949961492935529 * (x1 * x1))))) - exp((-0.7256260173647746 * (x0 * x0)))))),saturated,374.322792,36,7,36,7,191,201,61,1,81,(-0.0639297738671303 + (1.0392827987670898 * ((1.9780735969543457 + ((exp((-5.505408518240529 * (x1 * x1))) * (-5.921650519847204 * ((x1 * x1) * (x1 * x1)))) - exp(((x1 * x1) * -0.7949961492935529)))) - exp((-0.7256260173647746 * (x0 * x0)))))) -pagie,147,Operon,Operon,28,1,kept,13.0,7.0,egglog-baseline,((-0.0000072608104347) + (1.0000052452087402 * (((-1.2524669170379639) * (exp((((-0.8438813686370850) * x0) * (1.0945762395858765 * x0))) + (exp((((-0.6344506740570068) * x1) * (1.4577195644378662 * x1))) + (-1.5802922248840332)))) + (0.2748360037803650 * (exp(((19.0184898376464844 * x0) * ((-0.3212499320507050) * x0))) + exp((((-0.8187244534492493) * x1) * (7.3472332954406738 * x1)))))))),(-1.252473486488384) * (((exp((-0.9248511602436906) * ((x1) * (x1)))) + ((exp((-0.9236924951393632) * ((x0) * (x0)))) + (((exp(((x0) * (x0)) * (-6.109688568050957))) + (exp(((x1) * (x1)) * (-6.015359564173792)))) * (-0.21943573921324933)))) + (-1.5802864277070767)),saturated,1341.657750,45,13,33,7,158,168,60,2,76,(-1.252473486488384 * ((-1.5802864277070765 + (exp((-0.9236924951393632 * (x0 * x0))) + exp((-0.9248511602436906 * (x1 * x1))))) + (-0.2194357392132493 * (exp((-6.109688568050957 * (x0 * x0))) + exp((-6.015359564173792 * (x1 * x1))))))),saturated,363.329750,33,7,33,7,158,168,60,1,76,(-1.252473486488384 * ((exp((-0.9248511602436906 * (x1 * x1))) + (exp((-0.9236924951393632 * (x0 * x0))) + ((exp(((x0 * x0) * -6.109688568050957)) + exp(((x1 * x1) * -6.015359564173792))) * -0.21943573921324933))) + -1.5802864277070767)) -pagie,148,Operon,Operon,29,1,kept,13.0,7.0,egglog-baseline,((-0.0000072977472882) + (1.0000039339065552 * ((0.2748106420040131 * (exp(((0.8403434157371521 * x1) * ((-7.1597433090209961) * x1))) + exp(((2.1294348239898682 * x0) * ((-2.8703227043151855) * x0))))) - ((-1.9792662858963013) + (1.2524309158325195 * (exp(((1.7403106689453125 * x1) * ((-0.5314179658889771) * x1))) + exp(((0.6934723854064941 * x0) * ((-1.3319598436355591) * x0))))))))),(0.27481172308339913) * ((((exp((-6.016643148103924) * ((x1) * (x1)))) + (exp((-6.1121651226575295) * ((x0) * (x0))))) + (((exp(((x1) * (x1)) * (-0.9248323557058029))) + (exp(((x0) * (x0)) * (-0.9236773700316121)))) * (-4.557432371247945))) + (7.202264707597524)),saturated,1682.295375,45,13,33,7,158,168,60,2,76,(0.27481172308339913 * ((7.202264707597524 + (exp((-6.016643148103924 * (x1 * x1))) + exp((-6.1121651226575295 * (x0 * x0))))) + (-4.557432371247945 * (exp((-0.9248323557058029 * (x1 * x1))) + exp((-0.9236773700316121 * (x0 * x0))))))),saturated,342.527291,33,7,33,7,158,168,60,1,76,(0.27481172308339913 * (((exp((-6.016643148103924 * (x1 * x1))) + exp((-6.1121651226575295 * (x0 * x0)))) + ((exp(((x1 * x1) * -0.9248323557058029)) + exp(((x0 * x0) * -0.9236773700316121))) * -4.557432371247945)) + 7.202264707597524)) -pagie,149,Operon,Operon,30,1,kept,13.0,7.0,egglog-baseline,((-0.0166908428072929) + (1.0103557109832764 * ((-1.0929064750671387) * ((((-1.8171284198760986) + exp(((0.4634887576103210 * x0) * ((-1.7064006328582764) * x0)))) + ((exp((((-0.0545985996723175) * x1) * (290.8274841308593750 * x1))) + exp((((-6.8895225524902344) * x0) * (4.0632553100585938 * x0)))) * (-0.0849393755197525))) + exp((((-0.0165483560413122) * x1) * (47.9090309143066406 * x1))))))),(-1.1042242986546853) * ((exp((-0.790897509308948) * ((x0) * (x0)))) + (((((exp((-15.878773379768061) * ((x1) * (x1)))) + (exp(((x0) * (x0)) * (-27.99388909517438)))) * (-8.49393755197525e-2)) + (exp(((x1) * (x1)) * (-0.7928157011641793)))) + (-1.802012973831642))),saturated,994.088375,45,13,33,7,158,168,60,2,76,(-1.1042242986546853 * ((-1.802012973831642 + (exp((-0.7928157011641793 * (x1 * x1))) + exp((-0.790897509308948 * (x0 * x0))))) + ((exp((-15.878773379768061 * (x1 * x1))) + exp((-27.99388909517438 * (x0 * x0)))) * -0.0849393755197525))),saturated,343.930291,33,7,33,7,158,168,60,1,76,(-1.1042242986546853 * (exp((-0.790897509308948 * (x0 * x0))) + ((((exp((-15.878773379768061 * (x1 * x1))) + exp(((x0 * x0) * -27.99388909517438))) * -0.0849393755197525) + exp(((x1 * x1) * -0.7928157011641793))) + -1.802012973831642))) 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(1.766673822805128))) * (-0.49092178828863786)))) + ((x1) * (((x1) + (exp(x1))) * (7.37564672370366e-5))))) + (0.9475575264341133)),saturated,20082.266584,44,12,34,7,147,159,67,2,78,(1.059245011980159 * (0.9475575264341134 + (exp((-5.8345976856156 / ((x1 / 0.24351267979731375) * (x1 + x1)))) - (exp(((((x0 / 1.766673822805128) + x0) * -0.49092178828863786) * x0)) + ((x1 * 7.375646723703661e-05) * (exp(x1) + x1)))))),saturated,386.841333,34,7,34,7,147,159,67,1,78,(1.059245011980159 * ((exp((-5.8345976856156 / ((x1 / 0.24351267979731375) * (x1 + x1)))) - (exp((x0 * ((x0 + (x0 / 1.766673822805128)) * -0.49092178828863786))) + (x1 * ((x1 + exp(x1)) * 7.37564672370366e-05)))) + 0.9475575264341133)) -pagie,181,SRjl,SRjl,2,1,kept,9.0,8.0,egglog-baseline,((((exp((x0 / (((x0 * -0.0022067561107765228) * x0) * x0)) * 0.001500675632471371) - exp((x1 * ((0.031646250254694995 / x1) - x1)) * 0.7356976269859291)) / 0.9595286921357497) - ((exp((0.04424753013408821 - 1.2094507170296283) * x0) + (exp(x0) 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-9.500013495936925e-05))) -pagie,182,SRjl,SRjl,3,1,kept,10.0,5.0,egglog-baseline,(((exp(((x1 / -1.1526895432904412) * x1) - ((0.1560929128293564 + 0.04873876471741229) + -0.10767615949898787)) * -0.7499061083076463) - -1.1526895432904412) * ((exp((log(x1 * x1) - 78.41442075024227) + 1.0254454456547013) + ((log(x0 * (x0 + 0.0034420466463509335)) - 0.6739116903430199) * 0.1560929128293564)) + 1.4227637491659069)),(((exp(((x1) * ((x1) / (-1.1526895432904412))) - (9.71555180477808e-2))) * (-0.7499061083076463)) + (1.1526895432904412)) * ((exp((log((x1) * (x1))) + (-77.38897530458758))) + ((0.1560929128293564) * ((log((x0) * ((x0) + (3.4420466463509335e-3)))) + (8.440939992393519)))),saturated,563.780333,39,12,31,8,107,122,64,2,77,((-0.7499061083076463 * (exp((((x1 / -1.1526895432904412) * x1) - 0.0971555180477808)) - 1.537111820427464)) * ((0.1560929128293564 * (8.440939992393519 + log((x0 * (x0 + 0.0034420466463509335))))) + exp((-77.38897530458758 + log((x1 * x1)))))),saturated,495.800875,31,8,31,8,100,112,56,2,77,(((exp(((x1 * (x1 / -1.1526895432904412)) + -0.0971555180477808)) * -0.7499061083076463) + 1.1526895432904412) * (exp((log((x1 * x1)) + -77.38897530458758)) + (0.1560929128293564 * (log((x0 * (x0 + 0.0034420466463509335))) + 8.440939992393519)))) -pagie,183,SRjl,SRjl,4,1,kept,11.0,7.0,egglog-baseline,((((log((x0 * x0) - -0.04513019797782104) / 0.9526710158707841) * 0.20375149483574592) - ((exp(((-0.04513019797782104 * x1) - (x1 * 0.7119973788716794)) * x1) + -1.4351742278641733) - ((log(exp((x0 * x0) + -1.5960988818854747) + exp(0.7119973788716794)) * 1.150197384816855) * -0.010450848435701))) / 0.925475971680782),(((log((exp(((x0) * (x0)) - (1.5960988818854747))) + (2.038057969841441))) * (-1.202053853986061e-2)) + (((log(((x0) * (x0)) + (4.513019797782104e-2))) * (0.2138739307078718)) - ((exp((x1) * ((x1) * (-0.7571275768495004)))) + (-1.4351742278641733)))) / 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0.9972373150183798),(((((1.2970116211177067) - (exp((9.432994685391581e-2) + ((x0) * ((x0) * (-0.7382751656820474)))))) + (((0.7382751656820474) + (log((x1) * ((x1) * ((x0) * (x0)))))) * (-4.679849233518443e-3))) - (exp((7.743331735052479e-2) - (((x1) * (x1)) / (1.2970116211177067))))) + (0.7157260145245514)) / (0.9972373150183798),saturated,3043.136209,42,10,36,9,111,123,59,2,89,(((((1.2970116211177067 - exp((0.09432994685391581 + (-0.7382751656820474 * (x0 * x0))))) + ((log(((x0 * x0) * (x1 * x1))) + 0.7382751656820474) * -0.004679849233518443)) - exp((0.07743331735052479 - ((x1 * x1) / 1.2970116211177067)))) + 0.7157260145245514) / 0.9972373150183798),saturated,301.966208,36,9,36,9,111,123,59,1,89,(((((1.2970116211177067 - exp((0.09432994685391581 + (x0 * (x0 * -0.7382751656820474))))) + ((0.7382751656820474 + log((x1 * (x1 * (x0 * x0))))) * -0.004679849233518443)) - exp((0.07743331735052479 - ((x1 * x1) / 1.2970116211177067)))) + 0.7157260145245514) / 0.9972373150183798) 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x1)))*((exp((2)*(x0)))^(-1)))),(-1.768299095097286e-2) + ((-0.799049025992938) * ((((x0) * (x0)) * ((exp((x0) * (2.0)))^(-1))) * (((x1) * ((x1) + (-4.734655034994491))) + (-0.3212108877413568)))),saturated,1645.210917,24,6,22,5,184,193,53,2,57,(-0.01768299095097286 + (((-0.799049025992938 * (x0 * x0)) * ((x1 * (-4.734655034994491 + x1)) + -0.3212108877413568)) * (exp((2.0 * x0)) ** -1.0))),saturated,363.570375,22,5,22,5,184,193,53,1,57,(-0.01768299095097286 + (-0.799049025992938 * (((x0 * x0) * (exp((x0 * 2.0)) ** -1.0)) * ((x1 * (x1 + -4.734655034994491)) + -0.3212108877413568)))) -kotanchek,3,Bingo,Bingo,4,1,kept,4.0,4.0,egglog-baseline,(-0.03144312866911644)*(-3.0969157782045578 + (-31.196859437348742)*((-0.044758903858526766)*(x0) + ((x0)*(x0))*((exp((x0)*(x0)))^(-1))) - (x1)),(-3.144312866911644e-2) * (((-3.0969157782045578) + ((-31.196859437348742) * ((x0) * ((-4.4758903858526766e-2) + ((x0) * ((exp((x0) * (x0)))^(-1))))))) - (x1)),saturated,449.949209,22,4,20,4,64,72,36,2,50,(-0.03144312866911644 * ((-3.0969157782045578 + (-31.196859437348742 * (x0 * (((exp((x0 * x0)) ** -1.0) * x0) + -0.044758903858526766)))) - x1)),saturated,264.315875,20,4,20,4,64,72,36,1,50,(-0.03144312866911644 * ((-3.0969157782045578 + (-31.196859437348742 * (x0 * (-0.044758903858526766 + (x0 * (exp((x0 * x0)) ** -1.0)))))) - x1)) -kotanchek,4,Bingo,Bingo,5,1,kept,7.0,5.0,egglog-baseline,-0.00021014784984354508 + (-79102.81028278018 + (9.442859863771085)*(8377.090142621715 + (x1)*(4.739077949578231 - (x1))))*((1.3508252037586896e-06)*(x0) + (0.004486719103561921)*(exp((2)*(x0) - ((x0)*(x0))))),(-2.1014784984354508e-4) + ((((x1) * ((4.739077949578231) - (x1))) + (9.29803245489893e-2)) * (((x0) + ((exp(((x0) * (2.0)) - ((x0) * (x0)))) * (3321.465346573016))) * (1.275565309954333e-5))),saturated,705.995833,28,8,24,6,73,82,41,2,60,(-0.00021014784984354508 + ((0.04236745974303985 * (exp(((2.0 * x0) - (x0 * x0))) + (0.00030107193532269384 * x0))) * (0.0929803245489893 + (x1 * (4.739077949578231 - x1))))),saturated,282.603875,24,6,24,6,73,82,41,1,60,(-0.00021014784984354508 + (((x1 * (4.739077949578231 - x1)) + 0.0929803245489893) * ((x0 + (exp(((x0 * 2.0) - (x0 * x0))) * 3321.465346573016)) * 1.275565309954333e-05))) -kotanchek,5,Bingo,Bingo,6,1,kept,7.0,5.0,egglog-baseline,(x0)*((-0.708264064344585 + (0.22602214542380888)*(x0))*(-0.708264064344585 + (0.22602214542380888)*(x0))) + ((0.3286374849396323)*((x0 - ((x0)*(x0)))*(x1)) + (x1)*(x1))*(0.07900418526719069 + (-0.004875727623836811)*((x1)*(x1))),((x0) * ((5.1086010221981414e-2) * (((x0) + (-3.1336047315918334)) * ((x0) + (-3.1336047315918334))))) + ((x1) * (((7.900418526719069e-2) + (((x1) * (x1)) * (-4.875727623836811e-3))) * ((x1) + ((0.3286374849396323) * ((x0) - ((x0) * (x0))))))),saturated,1309.503792,35,7,31,6,241,251,71,2,71,((x0 * (0.051086010221981414 * ((x0 + -3.1336047315918334) * (x0 + -3.1336047315918334)))) + ((x1 * ((0.3286374849396323 * (x0 - (x0 * x0))) + x1)) * (0.07900418526719069 + (-0.004875727623836811 * (x1 * x1))))),saturated,496.574708,31,6,31,6,241,251,71,1,71,((x0 * (0.051086010221981414 * ((x0 + -3.1336047315918334) * (x0 + -3.1336047315918334)))) + (x1 * ((0.07900418526719069 + ((x1 * x1) * -0.004875727623836811)) * (x1 + (0.3286374849396323 * (x0 - (x0 * x0))))))) -kotanchek,7,Bingo,Bingo,8,1,kept,6.0,5.0,egglog-baseline,(0.11720391936222797)*((x1)*((0.6931234338478329 + (x0)*(6.4849819024041455 + (-0.6667403548542734)*((-1.3864562418418644 + x1)*(-1.3864562418418644 + x1)) - (x0)))*((exp(x0))^(-1)))),(0.11720391936222797) * ((x1) * (((0.6931234338478329) + ((x0) * (((6.4849819024041455) + ((-0.6667403548542734) * (((x1) + (-1.3864562418418644)) * ((x1) + (-1.3864562418418644))))) - (x0)))) * ((exp(x0))^(-1)))),saturated,315.700208,26,6,26,6,120,129,48,1,67,(0.11720391936222797 * (x1 * ((0.6931234338478329 + (x0 * ((6.4849819024041455 + (-0.6667403548542734 * ((-1.3864562418418644 + x1) * (-1.3864562418418644 + x1)))) - x0))) * (exp(x0) ** -1.0)))),saturated,307.960791,26,6,26,6,120,129,48,1,67,(0.11720391936222797 * (x1 * ((0.6931234338478329 + (x0 * ((6.4849819024041455 + (-0.6667403548542734 * ((x1 + -1.3864562418418644) * (x1 + -1.3864562418418644)))) - x0))) * (exp(x0) ** -1.0)))) -kotanchek,8,Bingo,Bingo,9,1,kept,2.0,2.0,egglog-baseline,(exp(x0))*((3.396536372521252 + ((0.4137631538437465 + x1)^(-1))*(((exp(x0))^(-1))*(exp(exp(x0)))))^(-1)),(exp(x0)) * (((3.396536372521252) + ((((0.4137631538437465) + (x1))^(-1)) * (((exp(x0))^(-1)) * (exp(exp(x0))))))^(-1)),saturated,261.271042,21,2,21,2,49,54,26,1,50,(exp(x0) * ((3.396536372521252 + (((0.4137631538437465 + x1) ** -1.0) * ((exp(x0) ** -1.0) * exp(exp(x0))))) ** -1.0)),saturated,275.579542,21,2,21,2,49,54,26,1,50,(exp(x0) * ((3.396536372521252 + (((0.4137631538437465 + x1) ** -1.0) * ((exp(x0) ** -1.0) * exp(exp(x0))))) ** -1.0)) -kotanchek,9,Bingo,Bingo,10,1,kept,3.0,3.0,egglog-baseline,(0.03943336488999562)*((x1)*(((x0)*(x0) + x1)*((0.12426947579595604 + (0.046906498950706255)*(x1 + (4)*((x1)*(x1)) + exp((x0)*(x0))) - (plog(x1)))^(-1)))),(3.943336488999562e-2) * ((x1) * (((x1) + ((x0) * (x0))) * ((((0.12426947579595604) + ((4.6906498950706255e-2) * (((x1) + ((4.0) * ((x1) * (x1)))) + (exp((x0) * (x0)))))) - (log(abs(x1))))^(-1)))),saturated,622.289750,32,4,32,4,178,186,57,2,67,(0.03943336488999562 * (x1 * (((x0 * x0) + x1) * (((0.046906498950706255 * (((x1 + (4.0 * (x1 * x1))) + exp((x0 * x0))) + 2.649301878755651)) - log(abs(x1))) ** -1.0)))),saturated,625.149625,32,4,32,4,178,186,57,2,67,(0.03943336488999562 * (x1 * ((x1 + (x0 * x0)) * (((0.046906498950706255 * (((x1 + (4.0 * (x1 * x1))) + exp((x0 * x0))) + 2.649301878755651)) - log(abs(x1))) ** -1.0)))) -kotanchek,10,Bingo,Bingo,11,1,kept,4.0,4.0,egglog-baseline,0.2306440753250631 + (0.03139967317000205)*(x1) + (-1.1634241022901022 + (exp(exp(-1 + x0)))^(-1))*(1.2522488356336676 - (exp((x0)*((exp(exp(-1 + x0)))^(-1))))),((0.2306440753250631) + ((3.139967317000205e-2) * (x1))) + (((-1.1634241022901022) + ((exp(exp((-1.0) + (x0))))^(-1))) * ((1.2522488356336676) - (exp((x0) * ((exp(exp((-1.0) + (x0))))^(-1)))))),saturated,273.969500,28,6,28,6,69,77,38,1,72,((0.2306440753250631 + (0.03139967317000205 * x1)) + ((-1.1634241022901022 + (exp(exp((-1.0 + x0))) ** -1.0)) * (1.2522488356336676 - exp((x0 * (exp(exp((-1.0 + x0))) ** -1.0)))))),saturated,272.823458,28,6,28,6,69,77,38,1,72,((0.2306440753250631 + (0.03139967317000205 * x1)) + ((-1.1634241022901022 + (exp(exp((-1.0 + x0))) ** -1.0)) * (1.2522488356336676 - exp((x0 * (exp(exp((-1.0 + x0))) ** -1.0)))))) -kotanchek,11,Bingo,Bingo,12,1,kept,6.0,5.0,egglog-baseline,(-0.04106910574307527)*(78.09907550417113 + x0 + (1.0611956406287764)*((x1)*(-4.735723943783631 + x1))) + (0.00822065460724008 + (x0)*(x0))*((exp((x0)*(x0)))^(-1)) - (plog(-0.04106910574307527)),(((8.22065460724008e-3) + ((x0) * (x0))) * ((exp((x0) * (x0)))^(-1))) + ((-4.106910574307527e-2) * ((x0) + (((1.0611956406287764) * ((x1) * ((x1) + (-4.735723943783631)))) + (0.36426566457643617)))),saturated,599.712250,30,6,26,5,84,93,43,2,63,((-0.04106910574307527 * ((0.36426566457643617 + x0) + (1.0611956406287764 * (x1 * (-4.735723943783631 + x1))))) + ((0.00822065460724008 + (x0 * x0)) * (exp((x0 * x0)) ** -1.0))),saturated,269.097125,26,5,26,5,84,93,43,1,63,(((0.00822065460724008 + (x0 * x0)) * (exp((x0 * x0)) ** -1.0)) + (-0.04106910574307527 * (x0 + ((1.0611956406287764 * (x1 * (x1 + -4.735723943783631))) + 0.36426566457643617)))) -kotanchek,12,Bingo,Bingo,13,1,kept,9.0,5.0,egglog-baseline,((69920813446.957 + (3837.522818140268)*((-6411.945978052463 + (5614.613323813786)*(x0))*(-6411.945978052463 + (5614.613323813786)*(x0))))^(-1))*(32356483533.402588 + (-10343913179.625605)*(x0) + (5885307060.08351)*(x1)),(((6.9920813446957e10) + (((x0) + (-1.142010252221088)) * (((x0) + (-1.142010252221088)) * (1.209736194690767e11))))^(-1)) * (((3.2356483533402573e10) + ((x0) * (-1.0343913179625605e10))) + ((5.885307060083509e9) * (x1))),saturated,854.352583,27,9,23,7,184,199,76,2,67,(((69920813446.957 + (120973619469.07672 * ((x0 + -1.142010252221088) * (x0 + -1.142010252221088)))) ** -1.0) * ((32356483533.402588 + (-10343913179.625605 * x0)) + (5885307060.08351 * x1))),saturated,362.762333,23,7,23,7,163,177,69,1,67,(((69920813446.957 + ((x0 + -1.142010252221088) * ((x0 + -1.142010252221088) * 120973619469.0767))) ** -1.0) * ((32356483533.402573 + (x0 * -10343913179.625605)) + (5885307060.083509 * x1))) -kotanchek,13,Bingo,Bingo,14,1,kept,5.0,5.0,egglog-baseline,(-0.008870475378536939 + (-0.0506336679649604)*(x1))*(((x0 + (-0.3460574947000204)*(1.0326587094648079 + exp(x0)))^(-1))*(plog(-9.541496629390634 + (2)*(x1)))),((-8.870475378536939e-3) + ((-5.06336679649604e-2) * (x1))) * ((((x0) + ((-0.3460574947000204) * ((1.0326587094648079) + (exp(x0)))))^(-1)) * (log(abs((-9.541496629390634) + ((x1) * (2.0)))))),saturated,328.548125,24,6,24,6,140,152,60,1,63,((-0.008870475378536939 + (-0.0506336679649604 * x1)) * (((x0 + (-0.3460574947000204 * (1.0326587094648079 + exp(x0)))) ** -1.0) * log(abs((-9.541496629390634 + (2.0 * x1)))))),saturated,329.350667,24,6,24,6,140,152,60,1,63,((-0.008870475378536939 + (-0.0506336679649604 * x1)) * (((x0 + (-0.3460574947000204 * (1.0326587094648079 + exp(x0)))) ** -1.0) * log(abs((-9.541496629390634 + (x1 * 2.0)))))) -kotanchek,14,Bingo,Bingo,15,1,kept,3.0,3.0,egglog-baseline,-0.009079799107138235 + (0.973619601464109)*((-1.1573239810414302 + (x1)^(-2) + exp(x0) + (-2)*(plog(x0)))^(-1)),(-9.079799107138235e-3) + ((0.973619601464109) * (((((-1.1573239810414302) + ((x1)^(-2))) + (exp(x0))) + ((-2.0) * (log(abs(x0)))))^(-1))),saturated,306.998000,20,4,20,4,116,125,47,1,53,(-0.009079799107138235 + (0.973619601464109 * ((((-1.1573239810414302 + (x1 ** -2.0)) + exp(x0)) + (-2.0 * log(abs(x0)))) ** -1.0))),saturated,313.118667,20,4,20,4,116,125,47,1,53,(-0.009079799107138235 + (0.973619601464109 * ((((-1.1573239810414302 + (x1 ** -2.0)) + exp(x0)) + (-2.0 * log(abs(x0)))) ** -1.0))) -kotanchek,15,Bingo,Bingo,16,1,kept,5.0,4.0,egglog-baseline,-5.9611827480310925e-05 + (-8.813638500217107e-05)*((-119.17342611160666 + (1306.8992589231564)*((x1)*(-4.739082076972427 + x1)))*((exp((-1 + x0)*(-1 + x0)))^(-1))),(-5.9611827480310925e-5) + ((((x1) * ((x1) + (-4.739082076972427))) + (-9.118792079643674e-2)) * (((exp(((-1.0) + (x0)) * ((-1.0) + (x0))))^(-1)) * (-0.11518537624350336))),saturated,533.292833,24,7,22,6,65,73,36,2,61,(-5.9611827480310925e-05 + ((-0.11518537624350336 * ((x1 * (-4.739082076972427 + x1)) + -0.09118792079643674)) * (exp(((-1.0 + x0) * (-1.0 + x0))) ** -1.0))),saturated,284.403750,22,6,22,6,65,73,36,1,61,(-5.9611827480310925e-05 + (((x1 * (x1 + -4.739082076972427)) + -0.09118792079643674) * ((exp(((-1.0 + x0) * (-1.0 + x0))) ** -1.0) * -0.11518537624350336))) 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(((((-0.17850583364543127) * ((x0) * (exp(x0)))) + (exp((0.35701166729086253) * ((x0) + (exp(x0)))))) - (log(abs((0.35701166729086253) * ((x0) + (exp(x0)))))))^(-1))),saturated,604.342167,40,8,32,4,103,110,44,2,65,(0.35701166729086253 * ((x0 + exp(x0)) * ((((-0.17850583364543127 * (x0 * exp(x0))) + exp((0.35701166729086253 * (x0 + exp(x0))))) - log((0.35701166729086253 * abs((x0 + exp(x0)))))) ** -1.0))),saturated,595.278667,32,4,32,4,103,110,44,2,65,(0.35701166729086253 * ((x0 + exp(x0)) * ((((-0.17850583364543127 * (x0 * exp(x0))) + exp((0.35701166729086253 * (x0 + exp(x0))))) - log((0.35701166729086253 * abs((x0 + exp(x0)))))) ** -1.0))) -kotanchek,21,Bingo,Bingo,22,1,kept,3.0,3.0,egglog-baseline,(0.6877488188414488)*(exp((2)*(x0) - ((x0)*(x0) + (-0.8494111690013563 - (x1))*((-0.2000198424296049 - (x1))^(-1))))),(0.6877488188414488) * (exp(((2.0) * (x0)) - (((x0) * (x0)) + (((-0.8494111690013563) - (x1)) * (((-0.2000198424296049) - (x1))^(-1)))))),saturated,345.484458,20,4,20,4,43,50,30,2,50,(0.6877488188414488 * exp((((2.0 * x0) - (x0 * x0)) - ((-0.8494111690013563 - x1) * ((-0.2000198424296049 - x1) ** -1.0))))),saturated,360.874458,20,4,20,4,43,50,30,2,50,(0.6877488188414488 * exp((((2.0 * x0) - (x0 * x0)) - ((-0.8494111690013563 - x1) * ((-0.2000198424296049 - x1) ** -1.0))))) -kotanchek,22,Bingo,Bingo,23,1,kept,7.0,6.0,egglog-baseline,(2.5131784365055503)*(((exp(x0))^(-1))*(20.83283257582063 + x0 + (0.029475689425325854)*(x1) + (-0.6569808069960112)*((5.186033678881531 - (x0))*(5.714201897136322 + x0 + ((2.5131784365055503)^(-1))*(exp(x0)))))),(2.5131784365055503) * (((exp(x0))^(-1)) * ((((x0) + (20.83283257582062)) + ((2.9475689425325854e-2) * (x1))) + ((-0.6569808069960112) * (((5.186033678881531) - (x0)) * (((x0) + (5.714201897136322)) + ((exp(x0)) * (0.3979025068313296))))))),saturated,737.167084,31,7,29,7,234,249,85,2,75,(2.5131784365055503 * ((exp(x0) ** -1.0) * (((20.83283257582063 + x0) + (0.029475689425325854 * x1)) + (-0.6569808069960112 * ((5.186033678881531 - x0) * ((5.714201897136322 + x0) + (0.3979025068313296 * exp(x0)))))))),saturated,440.327292,29,7,29,7,234,249,85,1,75,(2.5131784365055503 * ((exp(x0) ** -1.0) * (((x0 + 20.83283257582062) + (0.029475689425325854 * x1)) + (-0.6569808069960112 * ((5.186033678881531 - x0) * ((x0 + 5.714201897136322) + (exp(x0) * 0.3979025068313296))))))) -kotanchek,23,Bingo,Bingo,24,1,kept,8.0,8.0,egglog-baseline,0.006514843839523813 + (0.012790360845057828 + (-0.13720269441638683)*((x0 + (x0)*(x0))*(2.4024045089083383 + x1)))*((-1.5068813313136211 + (-0.32506758388128154)*(exp((x0)*(x0))) - ((x0)*(x0)))^(-1)) + exp(-1.5068813313136211 + (-0.32506758388128154)*(exp((x0)*(x0)))),((6.514843839523813e-3) + (((1.2790360845057828e-2) + ((-0.13720269441638683) * (((x0) + ((x0) * (x0))) * ((2.4024045089083383) + (x1))))) * ((((-1.5068813313136211) + ((-0.32506758388128154) * (exp((x0) * (x0))))) - ((x0) * (x0)))^(-1)))) + (exp((-1.5068813313136211) + ((-0.32506758388128154) * (exp((x0) * (x0)))))),saturated,346.905916,40,8,40,8,120,132,59,1,95,((0.006514843839523813 + ((0.012790360845057828 + (-0.13720269441638683 * ((x0 + (x0 * x0)) * (2.4024045089083383 + x1)))) * (((-1.5068813313136211 + (-0.32506758388128154 * exp((x0 * x0)))) - (x0 * x0)) ** -1.0))) + exp((-1.5068813313136211 + (-0.32506758388128154 * exp((x0 * x0)))))),saturated,347.382208,40,8,40,8,120,132,59,1,95,((0.006514843839523813 + ((0.012790360845057828 + (-0.13720269441638683 * ((x0 + (x0 * x0)) * (2.4024045089083383 + x1)))) * (((-1.5068813313136211 + (-0.32506758388128154 * exp((x0 * x0)))) - (x0 * x0)) ** -1.0))) + exp((-1.5068813313136211 + (-0.32506758388128154 * exp((x0 * x0)))))) -kotanchek,24,Bingo,Bingo,25,1,kept,5.0,5.0,egglog-baseline,0.042926148212222445 + (0.038206703422840375)*(((x0)*(5.566396182362499 + x0))*((0.011789883601234424 + x1)*((4.1139823128908555 + (x0)*(x0) - (x1))*((exp((x0)*(x0)))^(-1))))),(4.2926148212222445e-2) + ((3.8206703422840375e-2) * (((x0) * ((x0) + (5.566396182362499))) * (((1.1789883601234424e-2) + (x1)) * ((((4.1139823128908555) + ((x0) * (x0))) - (x1)) * ((exp((x0) * (x0)))^(-1)))))),saturated,1169.240541,28,5,28,5,700,709,114,1,66,(0.042926148212222445 + (0.038206703422840375 * ((x0 * (5.566396182362499 + x0)) * ((0.011789883601234424 + x1) * (((4.1139823128908555 + (x0 * x0)) - x1) * (exp((x0 * x0)) ** -1.0)))))),saturated,1173.402792,28,5,28,5,700,709,114,1,66,(0.042926148212222445 + (0.038206703422840375 * ((x0 * (x0 + 5.566396182362499)) * ((0.011789883601234424 + x1) * (((4.1139823128908555 + (x0 * x0)) - x1) * (exp((x0 * x0)) ** -1.0)))))) -kotanchek,25,Bingo,Bingo,26,1,kept,6.0,6.0,egglog-baseline,0.2497806421525048 + (-0.6964203985908678 + (2)*(((exp(x0))^(-1))*(plog(x0 + exp(x0)))))*(0.11848913269441189 + (0.13470217521610287 + (0.5185123293134022)*(x0))*(-0.0008622481242864235 + (2)*(((exp(x0))^(-1))*(plog(x0 + exp(x0)))))),(0.2497806421525048) + (((((x0) + (0.25978586737652176)) * ((((exp(x0))^(-1)) * (log(abs((x0) + (exp(x0)))))) + (-4.3112406214321176e-4))) + (0.11425874178470499)) * (((((exp(x0))^(-1)) * (log(abs((x0) + (exp(x0)))))) + (-0.3482101992954339)) * (2.0740493172536087))),saturated,952.820500,41,8,37,6,80,89,44,2,84,(0.2497806421525048 + ((2.0740493172536087 * (((exp(x0) ** -1.0) * log(abs((x0 + exp(x0))))) + -0.3482101992954339)) * (((((exp(x0) ** -1.0) * log(abs((x0 + exp(x0))))) + -0.00043112406214321176) * (x0 + 0.25978586737652176)) + 0.11425874178470499))),saturated,287.999542,37,6,37,6,80,89,44,1,84,(0.2497806421525048 + ((((x0 + 0.25978586737652176) * (((exp(x0) ** -1.0) * log(abs((x0 + exp(x0))))) + -0.00043112406214321176)) + 0.11425874178470499) * ((((exp(x0) ** -1.0) * log(abs((x0 + exp(x0))))) + -0.3482101992954339) * 2.0740493172536087))) -kotanchek,26,Bingo,Bingo,27,1,kept,5.0,5.0,egglog-baseline,(-1.9305547847352778)*(((10.665734721501936 + ((x0)*((x0)*(x0)))*((x0)*((x0)*(x0))) + (2.057897964881403)*(x1) - (x0))^(-1))*(0.20556825888097427 + (-2.9052829962789213)*(x0) + exp(plog(x0)) - (x1))),(-1.9305547847352778) * ((((((10.665734721501936) + (((x0) * ((x0) * (x0))) * ((x0) * ((x0) * (x0))))) + ((2.057897964881403) * (x1))) - (x0))^(-1)) * ((((0.20556825888097427) + ((x0) * (-2.9052829962789213))) + (abs(x0))) - (x1))),saturated,441.767167,36,5,34,5,103,112,48,2,75,(-1.9305547847352778 * (((((10.665734721501936 + ((x0 * (x0 * x0)) * (x0 * (x0 * x0)))) + (2.057897964881403 * x1)) - x0) ** -1.0) * (((-2.9052829962789213 * (x0 + -0.07075670739968036)) + abs(x0)) - x1))),saturated,433.667708,34,5,34,5,103,112,48,2,75,(-1.9305547847352778 * (((((10.665734721501936 + ((x0 * (x0 * x0)) * (x0 * (x0 * x0)))) + (2.057897964881403 * x1)) - x0) ** -1.0) * (((-2.9052829962789213 * (x0 + -0.07075670739968036)) + abs(x0)) - x1))) -kotanchek,27,Bingo,Bingo,28,1,kept,4.0,4.0,egglog-baseline,(0.20913305449088818 + (0.62938832186819)*(x0))*(exp((2.665810272148384)*(((-12.800195782530425 + (3)*(x0) - (x1))^(-1))*(exp(x0))))),((0.20913305449088818) + ((0.62938832186819) * (x0))) * (exp((2.665810272148384) * (((((-12.800195782530425) + ((x0) * (3.0))) - (x1))^(-1)) * (exp(x0))))),saturated,299.360125,21,5,21,5,88,98,46,1,55,((0.20913305449088818 + (0.62938832186819 * x0)) * exp((2.665810272148384 * ((((-12.800195782530425 + (3.0 * x0)) - x1) ** -1.0) * exp(x0))))),saturated,299.798416,21,5,21,5,88,98,46,1,55,((0.20913305449088818 + (0.62938832186819 * x0)) * exp((2.665810272148384 * ((((-12.800195782530425 + (x0 * 3.0)) - x1) ** -1.0) * exp(x0))))) -kotanchek,28,Bingo,Bingo,29,1,kept,6.0,6.0,egglog-baseline,(1.550707023441505e-05 + (6.656270926980652e-05)*(x1))*((-52.61627831646421 + exp(x0))*((35.56866639996601)*((x1)*((6.784280947796324 - (x1))^(-1))) + (exp(x0))*((-52.61627831646421 + exp(x0))*((exp(x0) - (x0))^(-1))))),((1.550707023441505e-5) + ((6.656270926980652e-5) * (x1))) * (((-52.61627831646421) + (exp(x0))) * (((35.56866639996601) * ((x1) * (((6.784280947796324) - (x1))^(-1)))) + ((exp(x0)) * (((-52.61627831646421) + (exp(x0))) * (((exp(x0)) - (x0))^(-1)))))),saturated,343.999292,35,6,35,6,143,152,54,1,83,((1.550707023441505e-05 + (6.656270926980652e-05 * x1)) * ((-52.61627831646421 + exp(x0)) * ((35.56866639996601 * (x1 * ((6.784280947796324 - x1) ** -1.0))) + (exp(x0) * ((-52.61627831646421 + exp(x0)) * ((exp(x0) - x0) ** -1.0)))))),saturated,344.334709,35,6,35,6,143,152,54,1,83,((1.550707023441505e-05 + (6.656270926980652e-05 * x1)) * ((-52.61627831646421 + exp(x0)) * ((35.56866639996601 * (x1 * ((6.784280947796324 - x1) ** -1.0))) + (exp(x0) * ((-52.61627831646421 + exp(x0)) * ((exp(x0) - x0) ** -1.0)))))) -kotanchek,29,Bingo,Bingo,30,1,kept,7.0,6.0,egglog-baseline,0.042494906292620545 + (-0.03269369442908581)*(((2)^(-1))*((x0)*(((exp(x0))^(-1))*((-9.993015936395594)*(x1 - (-3.303202526637662)) + (5)*(exp(x0))))) - (plog(x0 + (-9.993015936395594)*(x1 - (-3.303202526637662)) + (5)*(exp(x0)) - (-3.303202526637662)))),(4.2494906292620545e-2) + ((-3.269369442908581e-2) * ((((x0) * (((exp(x0))^(-1)) * (((x1) - (-3.303202526637662)) + ((exp(x0)) * (-0.5003494472363929))))) * (-4.996507968197797)) - (log(abs((x0) + ((-9.993015936395594) * ((x1) + (((exp(x0)) * (-0.5003494472363929)) + (2.9726514149750596))))))))),saturated,3264.907583,42,10,36,8,196,211,80,2,88,(-0.03269369442908581 * (((((-4.996507968197797 * x0) * ((x1 + 3.303202526637662) + (-0.5003494472363929 * exp(x0)))) * (exp(x0) ** -1.0)) - log(abs(((-9.993015936395594 * (2.97265141497506 + x1)) + ((5.0 * exp(x0)) + x0))))) + -1.2997890582477314)),saturated,559.849167,36,8,36,8,156,168,65,2,88,(0.042494906292620545 + (-0.03269369442908581 * (((x0 * ((exp(x0) ** -1.0) * ((x1 + 3.303202526637662) + (exp(x0) * -0.5003494472363929)))) * -4.996507968197797) - log(abs((x0 + (-9.993015936395594 * (x1 + (-0.5003494472363929 * (exp(x0) + -5.9411505926389365)))))))))) -kotanchek,30,EPLEX,EPLEX,1,1,kept,13.0,7.0,egglog-baseline,(((((((x0+1.113)+0.391)*((((-0.51-plog((((x0*(x0/(-0.192-0.598)))/exp(x0))+0.703)))+0.439)/exp(-0.101))+0.23))*(-0.611^2))/exp(x0))*(((plog((((x0*(x1/(0.001-1.26)))/exp(x0))+0.678))*(x0/(-0.375)))/exp(x0))+0.357))/exp(x0)),((x0) + (1.504)) * ((((((x0) * ((log(abs((((x0) * ((x1) / (-1.2590000000000001))) / (exp(x0))) + (0.678)))) / (exp(x0)))) + (-0.133875)) * (1.101323472479368)) / (exp(x0))) * ((((-0.51) - (log(abs((((x0) * ((x0) / (-0.79))) / (exp(x0))) + (0.703))))) + (0.6469045975637487)) / (exp(x0)))),saturated,14057.232875,65,16,48,9,1508,1524,338,2,104,(((((-0.13690459756374873 + log(abs(((((x0 * x0) / -0.79) / exp(x0)) + 0.703)))) * ((((log(abs(((((x0 * x1) / -1.2590000000000001) / exp(x0)) + 0.678))) * (x0 / -0.375)) / exp(x0)) + 0.357) * 0.41299630217976296)) * (1.504 + x0)) / exp(x0)) / exp(x0)),saturated,2374.711375,48,9,48,9,526,539,114,2,104,(((x0 + 1.504) * (((log(abs(((x0 * ((x1 / 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0.083) * (-5.885 + x1)) * ((4.74 * x1) - (x1 * x1)))))),saturated,688.053667,28,5,28,5,417,428,85,1,62,(0.009318 - (0.005377 * (exp(((x0 + x0) - (x0 * x0))) * (((x1 + 0.083) * (x1 + -5.885)) * ((x1 * 4.74) - (x1 * x1)))))) -kotanchek,92,GOMEA,GOMEA,3,1,kept,4.0,4.0,egglog-baseline,0.000080-0.008165*((exp(((x0+x0)-(x0*x0)))*(((1.253000-5.351000)+exp(x1))+(x1+(x1*(-16.707000)))))),(8.0e-5) - (((exp(x1)) - ((15.707) * ((x1) + (0.2609027821990195)))) * ((8.165e-3) * (exp(((x0) + (x0)) - ((x0) * (x0)))))),saturated,525.158166,25,5,23,4,153,164,60,2,50,(8e-05 - (0.008165 * (exp(((x0 + x0) - (x0 * x0))) * ((-4.098 + exp(x1)) + (x1 + (x1 * -16.707)))))),saturated,329.906541,21,4,21,4,97,108,51,1,47,(8e-05 - ((exp(x1) - (15.707 * (x1 + 0.2609027821990195))) * (0.008165 * exp(((x0 + x0) - (x0 * x0)))))) -kotanchek,93,GOMEA,GOMEA,4,1,kept,5.0,4.0,egglog-baseline,0.000072+0.007967*(((((-1.459000-7.405000)-(x1-12.778000))-((x1*(-17.047000))+exp(x1)))*exp(((x0+x0)-(x0*x0))))),(7.2e-5) + ((7.967e-3) * ((((3.9139999999999997) + ((x1) * (16.047))) - (exp(x1))) * (exp(((x0) + (x0)) - ((x0) * (x0)))))),saturated,483.419750,27,6,23,4,83,92,44,2,50,(7.2e-05 + (0.007967 * (((3.9139999999999997 - x1) - ((x1 * -17.047) + exp(x1))) * exp(((x0 + x0) - (x0 * x0)))))),saturated,279.135042,21,4,21,4,70,78,38,1,47,(7.2e-05 + (0.007967 * (((3.9139999999999997 + (x1 * 16.047)) - exp(x1)) * exp(((x0 + x0) - (x0 * x0)))))) -kotanchek,94,GOMEA,GOMEA,5,1,kept,5.0,4.0,egglog-baseline,-0.000569+0.008219*((exp(((x0+x0)-(x0*x0)))*(((14.480000*x1)-(8.928000-16.829000))-(exp(x1)-(x1-3.401000))))),(-5.69e-4) + ((8.219e-3) * ((exp(((x0) + (x0)) - ((x0) * (x0)))) * ((x1) + ((((x1) * (14.48)) + (4.5)) - (exp(x1)))))),saturated,625.224125,27,6,23,4,76,84,40,2,50,(-0.000569 + (0.008219 * (exp(((x0 + x0) - (x0 * x0))) * ((4.5 + (14.48 * x1)) - (exp(x1) - x1))))),saturated,271.863333,23,4,23,4,73,81,39,1,50,(-0.000569 + (0.008219 * (exp(((x0 + x0) - (x0 * x0))) * (x1 + (((x1 * 14.48) + 4.5) - exp(x1)))))) 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(((6.619 + ((x1 * 14.509) + x1)) - x0) - exp(x1))))),saturated,270.512250,25,4,25,4,85,93,42,1,53,(-0.002373 + (0.007876 * (exp(((x0 + x0) - (x0 * x0))) * (((x1 + ((x1 * 14.509) + 6.619)) - exp(x1)) - x0)))) -kotanchek,97,GOMEA,GOMEA,8,1,kept,3.0,3.0,egglog-baseline,0.040188-0.167339*((exp((exp(-4.145000)-(x1*x1)))-exp(((x0+x0)-(x0*x0))))),(4.0188e-2) - ((0.167339) * ((exp((1.5843435951321115e-2) - ((x1) * (x1)))) - (exp(((x0) + (x0)) - ((x0) * (x0)))))),saturated,456.468584,20,3,19,3,65,74,40,2,40,(0.040188 - (0.167339 * (exp((0.015843435951321115 - (x1 * x1))) - exp(((x0 + x0) - (x0 * x0)))))),saturated,301.672000,19,3,19,3,65,74,40,1,40,(0.040188 - (0.167339 * (exp((0.015843435951321115 - (x1 * x1))) - exp(((x0 + x0) - (x0 * x0)))))) -kotanchek,98,GOMEA,GOMEA,9,1,kept,7.0,6.0,egglog-baseline,-0.047292-0.010811*((exp(((0.555000*x0)*(1.761000-x0)))*(((-7.097000-x1)*(x1+4.180000))+((-0.289000+14.810000)+exp(x1))))),(-4.7292e-2) - (((((-7.097) - (x1)) * ((x1) + (4.18))) + ((14.521) + (exp(x1)))) * ((1.0811e-2) * (exp(((0.555) * (x0)) * ((1.761) - (x0)))))),saturated,477.285625,27,8,25,7,126,139,62,2,65,(-0.047292 - (0.010811 * (exp(((0.555 * x0) * (1.761 - x0))) * (((-7.097 - x1) * (x1 + 4.18)) + (14.521 + exp(x1)))))),saturated,334.110208,25,7,25,7,126,139,62,1,65,(-0.047292 - ((((-7.097 - x1) * (x1 + 4.18)) + (14.521 + exp(x1))) * (0.010811 * exp(((0.555 * x0) * (1.761 - x0)))))) -kotanchek,99,GOMEA,GOMEA,10,1,kept,4.0,4.0,egglog-baseline,0.001573-0.008457*((exp(((x0+x0)-(x0*x0)))*(((x1-x0)-(2.400000+x1))+(exp(x1)+(-15.584000*x1))))),(1.573e-3) - ((8.457e-3) * ((exp(((x0) + (x0)) - ((x0) * (x0)))) * ((((x1) - (x0)) - ((x1) + (2.4))) + ((exp(x1)) - ((x1) * (15.584)))))),saturated,523.179666,27,4,27,4,111,122,55,2,56,(0.001573 - (0.008457 * (exp(((x0 + x0) - (x0 * x0))) * ((((x1 - x0) - 2.4) - x1) + (exp(x1) + (-15.584 * x1)))))),saturated,381.103583,27,4,27,4,177,190,71,1,56,(0.001573 - (0.008457 * (exp(((x0 + x0) - (x0 * x0))) * (((x1 - x0) - (x1 + 2.4)) + (exp(x1) - (x1 * 15.584)))))) -kotanchek,100,GOMEA,GOMEA,11,1,kept,4.0,3.0,egglog-baseline,0.012093-0.012131*((exp(((x0+x0)-(x0*x0)))*(((2.494000-14.259000)*x1)+exp((x1-0.338000))))),(1.2093e-2) - ((1.2131e-2) * ((exp(((x0) + (x0)) - ((x0) * (x0)))) * (((-11.765) * (x1)) + (exp((x1) - (0.338)))))),saturated,467.685666,23,5,21,4,94,105,50,2,47,(0.012093 - (0.012131 * (exp(((x0 + x0) - (x0 * x0))) * ((-11.765 * x1) + exp((x1 - 0.338)))))),saturated,303.220958,21,4,21,4,94,105,50,1,47,(0.012093 - (0.012131 * (exp(((x0 + x0) - (x0 * x0))) * ((-11.765 * x1) + exp((x1 - 0.338)))))) -kotanchek,101,GOMEA,GOMEA,12,1,kept,4.0,4.0,egglog-baseline,0.010331-0.000529*((exp(((x0+x0)-(x0*x0)))*((exp(x1)-(x1*16.705000))*((x0-x1)+(18.607000-x0))))),(1.0331e-2) - ((5.29e-4) * ((exp(((x0) + (x0)) - ((x0) * (x0)))) * (((exp(x1)) - ((x1) * (16.705))) * ((18.607) - (x1))))),saturated,355.425541,27,4,27,4,178,189,64,1,56,(0.010331 - (0.000529 * (exp(((x0 + x0) - (x0 * x0))) * ((exp(x1) - (x1 * 16.705)) * ((x0 - x1) + (18.607 - x0)))))),saturated,333.840375,23,4,23,4,173,184,62,1,50,(0.010331 - (0.000529 * (exp(((x0 + x0) - (x0 * x0))) * ((exp(x1) - (x1 * 16.705)) * (18.607 - x1))))) -kotanchek,102,GOMEA,GOMEA,13,1,kept,7.0,6.0,egglog-baseline,-0.108816-0.000065*(((((-8.386000*x0)-(x1+0.898000))*exp((7.588000-x0)))-(((x0-x1)*(13.986000+18.716000))*(exp(x1)-(x1+13.305000))))),(-0.108816) - ((6.5e-5) * (((((x0) * (-8.386)) + ((-0.898) - (x1))) * (exp((7.588) - (x0)))) + (((x0) - (x1)) * ((32.702) * ((x1) + ((13.305) - (exp(x1)))))))),saturated,737.081792,31,8,29,7,192,212,93,2,71,(-0.108816 - (6.5e-05 * ((((-8.386 * x0) - (x1 + 0.898)) * exp((7.588 - x0))) - (((x0 - x1) * 32.702) * (exp(x1) - (x1 + 13.305)))))),saturated,388.003041,29,7,29,7,153,169,76,1,71,(-0.108816 - (6.5e-05 * ((((x0 * -8.386) + (-0.898 - x1)) * exp((7.588 - x0))) + ((x0 - x1) * (32.702 * (x1 + (13.305 - exp(x1)))))))) -kotanchek,103,GOMEA,GOMEA,14,1,kept,4.0,4.0,egglog-baseline,0.002398-0.008408*(((((x1*(-16.678000))+exp(x1))+((x1+x0)-(x0+3.300000)))*exp(((x0+x0)-(x0*x0))))),(2.398e-3) - ((8.408e-3) * (((exp(x1)) + (((x1) * (-15.678)) + (-3.3))) * (exp(((x0) + (x0)) - ((x0) * (x0)))))),saturated,359.614791,27,4,27,4,181,193,69,1,56,(0.002398 - (0.008408 * ((((x1 * -16.678) + exp(x1)) + ((x1 + x0) - (x0 + 3.3))) * exp(((x0 + x0) - (x0 * x0)))))),saturated,312.321250,21,4,21,4,108,119,53,1,47,(0.002398 - (0.008408 * ((exp(x1) + ((x1 * -15.678) + -3.3)) * exp(((x0 + x0) - (x0 * x0)))))) -kotanchek,104,GOMEA,GOMEA,15,1,kept,5.0,4.0,egglog-baseline,0.001058-0.008482*((exp(((x0+x0)-(x0*x0)))*((exp(x1)-(-8.523000-x1))-((x1*16.294000)+(16.678000-4.093000))))),(1.058e-3) - ((8.482e-3) * ((exp(((x0) + (x0)) - ((x0) * (x0)))) * (((exp(x1)) - ((x1) * (15.294))) + (-4.062000000000001)))),saturated,637.674666,27,6,23,4,160,172,64,2,50,(0.001058 - (0.008482 * (exp(((x0 + x0) - (x0 * x0))) * ((-4.062000000000001 + (x1 + exp(x1))) - (x1 * 16.294))))),saturated,343.413792,21,4,21,4,115,127,57,1,47,(0.001058 - (0.008482 * (exp(((x0 + x0) - (x0 * x0))) * ((exp(x1) - (x1 * 15.294)) + -4.062000000000001)))) -kotanchek,105,GOMEA,GOMEA,16,1,kept,4.0,3.0,egglog-baseline,0.007824-0.012740*((exp(((x0+x0)-(x0*x0)))*(((x1-8.411000)+4.098000)*((x1*x1)+(x1+x1))))),(7.824e-3) - (((x1) + (-4.313)) * ((1.274e-2) * ((exp(((x0) + (x0)) - ((x0) * (x0)))) * (((x1) * (x1)) + ((x1) + (x1)))))),saturated,541.260542,26,4,24,3,168,177,56,2,48,(0.007824 - (0.01274 * (exp(((x0 + x0) - (x0 * x0))) * ((-4.313 + x1) * ((x1 * x1) + (x1 + x1)))))),saturated,354.908792,24,3,24,3,168,177,56,1,48,(0.007824 - ((x1 + -4.313) * (0.01274 * (exp(((x0 + x0) - (x0 * x0))) * ((x1 * x1) + (x1 + x1)))))) -kotanchek,106,GOMEA,GOMEA,17,1,kept,5.0,5.0,egglog-baseline,0.002551-0.007740*((exp(((x0+x0)-(x0*x0)))*(((0.548000+x1)*(x1-4.287000))*(x1-(-1.260000-x1))))),(2.551e-3) - ((7.74e-3) * ((exp(((x0) + (x0)) - ((x0) * (x0)))) * ((((0.548) + (x1)) * ((x1) - (4.287))) * ((x1) - ((-1.26) - (x1)))))),saturated,662.765709,26,5,26,5,431,444,92,1,59,(0.002551 - (0.00774 * (exp(((x0 + x0) - (x0 * x0))) * (((0.548 + x1) * (x1 - 4.287)) * (x1 - (-1.26 - x1)))))),saturated,1178.604958,26,5,26,5,428,441,91,2,59,(0.002551 - (0.00774 * (exp(((x0 + x0) - (x0 * x0))) * (((0.548 + x1) * (x1 - 4.287)) * ((x1 - -1.26) + x1))))) -kotanchek,107,GOMEA,GOMEA,18,1,kept,3.0,3.0,egglog-baseline,0.002206+0.022640*(((((x0*x0)-(x0*x0))-((-4.636000+x1)*(x1+x1)))*exp(((x0+x0)-(x0*x0))))),(2.206e-3) + ((-2.264e-2) * (((-4.636) + (x1)) * (((x1) + (x1)) * (exp(((x0) + (x0)) - ((x0) * (x0))))))),saturated,780.979041,28,3,20,3,98,104,36,2,42,(0.002206 + ((0.02264 * ((4.636 - x1) * (x1 + x1))) * exp(((x0 + x0) - (x0 * x0))))),saturated,305.553708,20,3,20,3,99,105,36,1,42,(0.002206 + (-0.02264 * ((-4.636 + x1) * ((x1 + x1) * exp(((x0 + x0) - (x0 * x0))))))) -kotanchek,108,GOMEA,GOMEA,19,1,kept,5.0,5.0,egglog-baseline,0.014415+0.001055*((exp(((x0+x0)-(x0*x0)))*(((x1*x1)*(-4.670000+x1))*((5.882000+x1)*(-4.779000+x1))))),(1.4415e-2) + ((1.055e-3) * ((exp(((x0) + (x0)) - ((x0) * (x0)))) * ((((x1) * (x1)) * ((x1) + (-4.67))) * (((x1) + (5.882)) * ((x1) + (-4.779)))))),saturated,1354.573958,28,5,28,5,815,823,154,1,62,(0.014415 + (0.001055 * (exp(((x0 + x0) - (x0 * x0))) * (((x1 * x1) * (-4.67 + x1)) * ((5.882 + x1) * (-4.779 + x1)))))),saturated,1336.208500,28,5,28,5,815,823,154,1,62,(0.014415 + (0.001055 * (exp(((x0 + x0) - (x0 * x0))) * (((x1 * x1) * (x1 + -4.67)) * ((x1 + 5.882) * (x1 + -4.779)))))) -kotanchek,109,GOMEA,GOMEA,20,1,kept,5.0,4.0,egglog-baseline,0.001729-0.008336*((exp(((x0+x0)-(x0*x0)))*(((x1-3.517000)-(18.874000*x1))+((2.182000*x1)+exp(x1))))),(1.729e-3) - ((8.336e-3) * ((exp(((x0) + (x0)) - ((x0) * (x0)))) * (((x1) * (-15.692)) + ((exp(x1)) + (-3.517))))),saturated,746.919542,27,5,23,4,157,169,63,2,50,(0.001729 - (0.008336 * (exp(((x0 + x0) - (x0 * x0))) * ((exp(x1) + (x1 * -16.692)) + (x1 - 3.517))))),saturated,309.124250,21,4,21,4,108,119,53,1,47,(0.001729 - (0.008336 * (exp(((x0 + x0) - (x0 * x0))) * ((x1 * -15.692) + (exp(x1) + -3.517))))) -kotanchek,110,GOMEA,GOMEA,21,1,kept,4.0,4.0,egglog-baseline,-0.000234-0.008008*((exp(((x0+x0)-(x0*x0)))*(((-15.725000+11.634000)+(x1+x1))+((x1*(-17.925000))+exp(x1))))),(-2.34e-4) - ((8.008e-3) * ((exp(((x0) + (x0)) - ((x0) * (x0)))) * ((exp(x1)) + ((-4.090999999999999) + ((x1) * (-15.925)))))),saturated,600.755625,27,5,25,4,226,237,68,2,53,(-0.000234 - (0.008008 * (exp(((x0 + x0) - (x0 * x0))) * ((-4.090999999999999 + (x1 + x1)) + ((x1 * -17.925) + exp(x1)))))),saturated,309.957958,21,4,21,4,108,119,53,1,47,(-0.000234 - (0.008008 * (exp(((x0 + x0) - (x0 * x0))) * (exp(x1) + (-4.090999999999999 + (x1 * -15.925)))))) -kotanchek,111,GOMEA,GOMEA,22,1,kept,4.0,4.0,egglog-baseline,0.005151-0.019625*((exp(((x0+x0)-(x0*x0)))*(((x1-4.022000)*(x1*x1))+((-1.303000-0.050000)-x1)))),(5.151e-3) - ((((x1) * ((x1) * ((x1) + (-4.022)))) + ((-1.353) - (x1))) * ((1.9625e-2) * (exp(((x0) + (x0)) - ((x0) * (x0)))))),saturated,489.029166,26,5,24,4,101,112,52,2,52,(0.005151 - (0.019625 * (exp(((x0 + x0) - (x0 * x0))) * (((x1 - 4.022) * (x1 * x1)) + (-1.353 - x1))))),saturated,326.627208,24,4,24,4,97,107,49,1,52,(0.005151 - (((x1 * (x1 * (x1 + -4.022))) + (-1.353 - x1)) * (0.019625 * exp(((x0 + x0) - (x0 * x0)))))) -kotanchek,112,GOMEA,GOMEA,23,1,kept,3.0,3.0,egglog-baseline,0.027028+0.108127*((((exp(x0)*exp(x0))*((x1*x1)*(x1+6.423000)))*exp(((x0-x1)-exp(x0))))),(2.7028e-2) + ((0.108127) * ((((exp(x0)) * (exp(x0))) * (((x1) * (x1)) * ((x1) + (6.423)))) * (exp(((x0) - (x1)) - (exp(x0)))))),saturated,892.285167,25,3,25,3,603,609,113,1,48,(0.027028 + (0.108127 * (((exp(x0) * exp(x0)) * ((x1 * x1) * (x1 + 6.423))) * exp(((x0 - x1) - exp(x0)))))),saturated,890.266417,25,3,25,3,603,609,113,1,48,(0.027028 + (0.108127 * (((exp(x0) * exp(x0)) * ((x1 * x1) * (x1 + 6.423))) * exp(((x0 - x1) - exp(x0)))))) -kotanchek,113,GOMEA,GOMEA,24,1,kept,5.0,4.0,egglog-baseline,0.014790+0.002199*((exp(((x0+x0)-(x0*x0)))*(((-8.382000+x1)-(0.249000-x1))*((x1*x1)*(-7.883000+x1))))),(1.479e-2) + ((2.199e-3) * ((exp(((x0) + (x0)) - ((x0) * (x0)))) * (((-8.631) + ((x1) + (x1))) * (((x1) * (x1)) * ((x1) + (-7.883)))))),saturated,1528.974708,28,5,26,4,493,500,77,2,55,(0.01479 + (0.002199 * (exp(((x0 + x0) - (x0 * x0))) * (((-8.631 + x1) + x1) * ((x1 * x1) * (-7.883 + x1)))))),saturated,814.805000,26,4,26,4,493,500,77,1,55,(0.01479 + (0.002199 * (exp(((x0 + x0) - (x0 * x0))) * ((-8.631 + (x1 + x1)) * ((x1 * x1) * (x1 + -7.883)))))) -kotanchek,114,GOMEA,GOMEA,25,1,kept,4.0,3.0,egglog-baseline,0.010559+0.013455*(((((4.203000-x1)+exp(-3.785000))*((x1*x1)+(x1+x1)))*exp(((x0+x0)-(x0*x0))))),(1.0559e-2) + ((1.3455e-2) * (((((4.203) - (x1)) + (2.2708862776731332e-2)) * (((x1) * (x1)) + ((x1) + (x1)))) * (exp(((x0) + (x0)) - ((x0) * (x0)))))),saturated,441.357250,27,4,26,4,114,121,43,2,55,(0.010559 + (0.013455 * ((((4.203 - x1) + 0.022708862776731332) * ((x1 * x1) + (x1 + x1))) * exp(((x0 + x0) - (x0 * x0)))))),saturated,305.349250,26,4,26,4,114,121,43,1,55,(0.010559 + (0.013455 * ((((4.203 - x1) + 0.022708862776731332) * ((x1 * x1) + (x1 + x1))) * exp(((x0 + x0) - (x0 * x0)))))) -kotanchek,115,GOMEA,GOMEA,26,1,kept,5.0,4.0,egglog-baseline,-0.002850-0.007989*((exp(((x0+x0)-(x0*x0)))*((0.141000+exp(x1))-((5.595000-x1)+(x1*16.435000))))),(-2.85e-3) + (((7.989e-3) * (exp(((x0) + (x0)) - ((x0) * (x0))))) * ((5.454) + (((x1) * (15.434999999999999)) - (exp(x1))))),saturated,656.707333,25,5,23,4,160,172,64,2,50,(-0.00285 - (0.007989 * (exp(((x0 + x0) - (x0 * x0))) * (((-5.454 + exp(x1)) + x1) - (x1 * 16.435))))),saturated,291.403125,21,4,21,4,62,69,34,1,47,(-0.00285 + ((0.007989 * exp(((x0 + x0) - (x0 * x0)))) * (5.454 + ((x1 * 15.434999999999999) - exp(x1))))) -kotanchek,116,GOMEA,GOMEA,27,1,kept,4.0,3.0,egglog-baseline,0.013200-0.015123*(((((-5.053000*x1)*(5.158000-x1))*(exp(x0)*(x1*x1)))*exp(((x0-x1)-(x0*x0))))),(1.32e-2) - ((x1) * ((x1) * ((exp(((x0) - (x1)) - ((x0) * (x0)))) * ((exp(x0)) * ((x1) * (((5.158) - (x1)) * (-7.6416519e-2))))))),saturated,6850.435834,27,4,25,3,586,595,120,2,49,(0.0132 - ((((-0.076416519 * x1) * (5.158 - x1)) * (exp(x0) * (x1 * x1))) * exp(((x0 - x1) - (x0 * x0))))),saturated,3429.108584,25,3,25,3,785,794,127,1,49,(0.0132 - (x1 * (x1 * (exp(((x0 - x1) - (x0 * x0))) * (exp(x0) * (x1 * ((5.158 - x1) * -0.076416519))))))) -kotanchek,117,GOMEA,GOMEA,28,1,kept,5.0,4.0,egglog-baseline,-0.002065-0.007572*((exp(((x0+x0)-(x0*x0)))*(((x1+2.326000)-(7.014000-x1))+(exp(x1)-(18.337000*x1))))),(-2.065e-3) - ((7.572e-3) * ((exp(((x0) + (x0)) - ((x0) * (x0)))) * (((-4.688000000000001) - ((x1) * (17.337))) + ((x1) + (exp(x1)))))),saturated,720.622167,27,5,25,4,233,245,72,2,53,(-0.002065 - (0.007572 * (exp(((x0 + x0) - (x0 * x0))) * (((-4.688000000000001 + x1) + x1) + (exp(x1) - (18.337 * x1)))))),saturated,341.260333,23,4,23,4,167,180,68,1,50,(-0.002065 - (0.007572 * (exp(((x0 + x0) - (x0 * x0))) * ((-4.688000000000001 - (x1 * 17.337)) + (x1 + exp(x1)))))) -kotanchek,118,GOMEA,GOMEA,29,1,kept,5.0,4.0,egglog-baseline,0.000258-0.008126*((exp(((x0+x0)-(x0*x0)))*(((1.637000-17.444000)*(-1.529000+x1))-((20.873000+7.266000)-exp(x1))))),(2.58e-4) - ((8.126e-3) * ((exp(((x0) + (x0)) - ((x0) * (x0)))) * ((exp(x1)) + ((-15.806999999999999) * ((x1) + (0.25116068830265115)))))),saturated,516.659500,27,7,21,4,90,100,47,2,47,(0.000258 - (0.008126 * (exp(((x0 + x0) - (x0 * x0))) * ((-15.806999999999999 * (0.25116068830265115 + x1)) + exp(x1))))),saturated,312.860208,21,4,21,4,90,100,47,1,47,(0.000258 - (0.008126 * (exp(((x0 + x0) - (x0 * x0))) * (exp(x1) + (-15.806999999999999 * (x1 + 0.25116068830265115)))))) -kotanchek,119,GOMEA,GOMEA,30,1,kept,6.0,5.0,egglog-baseline,0.004369-0.000167*((exp(((x0+x0)-(x0*x0)))*(((x1*(-8.637000))*(4.502000-x1))*((11.197000-x1)*(1.581000+x1))))),(4.369e-3) - (((11.197) - (x1)) * ((exp(((x0) + (x0)) - ((x0) * (x0)))) * (((x1) + (1.581)) * (((x1) * ((4.502) - (x1))) * (-1.442379e-3))))),saturated,31515.326333,28,6,26,5,704,715,118,2,59,(0.004369 - (((-0.001442379 * ((4.502 - x1) * x1)) * ((11.197 - x1) * (1.581 + x1))) * exp(((x0 + x0) - (x0 * x0))))),saturated,3759.335667,26,5,26,5,660,671,132,1,59,(0.004369 - ((11.197 - x1) * (exp(((x0 + x0) - (x0 * x0))) * ((x1 + 1.581) * ((x1 * (4.502 - x1)) * -0.001442379))))) -kotanchek,120,Operon,Operon,1,1,kept,14.0,8.0,egglog-baseline,((-0.0000644577157800) + (1.0001556873321533 * ((((-0.0006379182450473) - (0.0003036445996258 * x1)) + (((1.0098193883895874 * x1) * ((-2.1118876934051514) * x1)) * (0.0005665634525940 * x1))) * (exp((1.9995476007461548 * x0)) * ((((2.9050014019012451 * x1) * ((-1.6316955089569092) * x1)) + ((-83.5919265747070312) - ((-39.5477447509765625) * x1))) / exp(((0.0681112110614777 * x0) * (14.6775512695312500 * x0)))))))),(-6.445771578e-5) + ((((x1) * (((x1) * (x1)) + (0.2513057822290573))) + (0.5279611222045847)) * (((exp((1.9995476007461548) * (x0))) * (((17.63513831255143) + ((x1) * ((x1) + (-8.343269227198043)))) / (exp((0.999705792384703) * ((x0) * (x0)))))) * (5.728173365985096e-3))),saturated,13571.608959,49,14,35,8,750,768,152,2,84,(-6.445771578e-05 + ((0.047791692572478874 * ((x1 * ((x1 * x1) + 0.25130578222905736)) + 0.5279611222045848)) * ((exp((1.9995476007461548 * x0)) * ((2.113696421908935 - x1) + (0.11985709351678615 * (x1 * x1)))) / exp((0.999705792384703 * (x0 * x0)))))),saturated,987.204583,33,8,33,8,268,279,73,2,81,(-6.445771578e-05 + (((x1 * ((x1 * x1) + 0.2513057822290573)) + 0.5279611222045847) * (((17.63513831255143 + (x1 * (x1 + -8.343269227198043))) * (exp((1.9995476007461548 * x0)) / exp((0.999705792384703 * (x0 * x0))))) * 0.005728173365985096))) -kotanchek,121,Operon,Operon,2,1,kept,13.0,10.0,egglog-baseline,(0.0019190539605916 + (0.9954085946083069 * ((exp((3.0602750778198242 * x0)) / exp(((exp(((0.4211926460266113 * x0) + 1.6726008653640747)) - ((1.3422309160232544 * x1) - exp(((-1.2979059219360352) * x0)))) + ((0.0003775433578994 * x1) * (1131.5198974609375000 * x1))))) * ((((-0.0027062874287367) * x1) * ((-6793.8808593750000000) * x1)) + (((-24.5153598785400391) * x1) - (-29.1849021911621094)))))),(1.9190539605916e-3) + (((((x1) * ((x1) + (-1.3333569413975992))) + (1.5873269702501887)) * ((exp((3.060275077819824) * (x0))) * (18.301775890134763))) / (exp(((exp(((x0) * (0.4211926460266113)) + (1.6726008653640747))) + (exp((x0) * (-1.2979059219360352)))) + ((x1) * (((x1) * (0.4271978216173871)) + (-1.3422309160232544)))))),saturated,6519.905750,47,13,37,10,177,192,78,2,94,(0.0019190539605916 + ((18.301775890134767 * ((x1 * (x1 + -1.3333569413975992)) + 1.5873269702501889)) * (exp((3.060275077819824 * x0)) / exp((((x1 * ((0.4271978216173871 * x1) + -1.3422309160232544)) + exp(((0.4211926460266113 * x0) + 1.6726008653640747))) + exp((-1.2979059219360352 * x0))))))),saturated,338.654458,37,10,37,10,177,192,78,1,94,(0.0019190539605916 + ((((x1 * (x1 + -1.3333569413975992)) + 1.5873269702501887) * (exp((3.060275077819824 * x0)) * 18.301775890134763)) / exp(((exp(((x0 * 0.4211926460266113) + 1.6726008653640747)) + exp((x0 * -1.2979059219360352))) + (x1 * ((x1 * 0.4271978216173871) + -1.3422309160232544)))))) -kotanchek,122,Operon,Operon,3,1,kept,11.0,10.0,egglog-baseline,((-0.0000014371197494) + (1.0000287294387817 * ((((((0.0082893725484610 * x1) - (-0.0444908216595650)) / exp(log((exp((0.3769945502281189 * x1)) + ((-0.9402246475219727) * x1))))) - (exp((0.0002179348812206 * x1)) + (-1.0048899650573730))) / exp(((0.3332124650478363 * x0) * (3.0010888576507568 * x0)))) / exp(((-2.0000004768371582) * x0))))),(-1.4371197494e-6) + ((1.0000287294387817) * (((((((8.289372548461e-3) * (x1)) - (-4.4490821659565e-2)) / ((exp((x1) * (0.3769945502281189))) + ((x1) * (-0.9402246475219727)))) - ((exp((x1) * (2.179348812206e-4))) + (-1.004889965057373))) / (exp((1.0000002160854038) * ((x0) * (x0))))) / (exp((x0) * (-2.000000476837158))))),saturated,801.440292,41,11,37,10,187,205,91,2,94,(-1.4371197494e-06 + (((((0.008289372548461 * x1) + 0.044490821659565) / (exp((0.3769945502281189 * x1)) + (-0.9402246475219727 * x1))) - (exp((0.0002179348812206 * x1)) + -1.004889965057373)) * ((1.0000287294387817 / exp((1.0000002160854038 * (x0 * x0)))) / exp((-2.000000476837158 * x0))))),saturated,804.231291,37,10,37,10,187,205,91,2,94,(-1.4371197494e-06 + (((((0.008289372548461 * x1) + 0.044490821659565) / (exp((x1 * 0.3769945502281189)) + (x1 * -0.9402246475219727))) - (exp((x1 * 0.0002179348812206)) + -1.004889965057373)) * ((1.0000287294387817 / exp((1.0000002160854038 * (x0 * x0)))) / exp((x0 * -2.000000476837158))))) 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(exp(exp((0.5965437889099121 * x0))) + (-1.426652431488037 * x0))) / (exp((0.4577265381813049 * x0)) + (-0.9410613179206848 * x0))))),saturated,1043.966041,39,10,39,10,292,305,99,2,97,(1.82324292837e-05 + ((exp((-1.0928704738616943 * x0)) + (x0 * 2.6822447776794434)) * (((-1.0000207089543989 / (-7.449989547754554 - (x1 * (x1 + -4.999997726333168)))) / (exp(exp((x0 * 0.5965437889099121))) + (x0 * -1.426652431488037))) / (exp((x0 * 0.4577265381813049)) + (x0 * -0.9410613179206848))))) -kotanchek,124,Operon,Operon,5,1,kept,13.0,10.0,egglog-baseline,(0.0000468041762360 + (0.9997506737709045 * (exp(((-0.0447766110301018) * x0)) - (0.8708053827285767 + ((((4.6947760581970215 * x1) - exp((0.6812457442283630 * x1))) * ((-2.2019169330596924) * x1)) * (((exp(((-5.3575110435485840) * x0)) + (15.1773414611816406 * x0)) * exp(((-2.3313734531402588) * x0))) * ((((-0.0015166908269748) * x1) * (4.4051661491394043 * x0)) - ((-0.0298569388687611) * x0)))))))),(0.9997506737709045) * (((exp((-4.47766110301018e-2) * (x0))) - (((x0) * ((x1) + (-4.468748624763382))) * (((x1) * ((((x1) * (4.6947760581970215)) - (exp((x1) * (0.681245744228363)))) * (((exp((x0) * (-5.357511043548584))) + ((x0) * (15.17734146118164))) * (exp((x0) * (-2.331373453140259)))))) * (1.471161275443955e-2)))) + (-0.8707585668799217)),saturated,12071.518333,49,13,41,10,852,865,175,2,100,(0.9997506737709045 * (-0.8707585668799217 + (exp((-0.0447766110301018 * x0)) + (-0.01471161275443955 * ((x0 * (x1 + -4.468748624763382)) * (((exp((-5.357511043548584 * x0)) + (15.17734146118164 * x0)) * exp((-2.331373453140259 * x0))) * (((4.6947760581970215 * x1) - exp((0.681245744228363 * x1))) * x1))))))),saturated,5534.811834,41,10,41,10,951,964,184,2,100,(0.9997506737709045 * ((exp((-0.0447766110301018 * x0)) + (-0.01471161275443955 * ((x0 * (x1 + -4.468748624763382)) * (x1 * (((x1 * 4.6947760581970215) - exp((x1 * 0.681245744228363))) * ((exp((x0 * -5.357511043548584)) + (x0 * 15.17734146118164)) * exp((x0 * -2.331373453140259)))))))) + -0.8707585668799217)) -kotanchek,125,Operon,Operon,6,1,kept,12.0,11.0,egglog-baseline,(0.0015015223762020 + (0.9966979622840881 * ((exp(1.7057397365570068) + ((2.2468583583831787 * x1) + (((2.7354996204376221 * x1) + ((-5.6414661407470703) * exp((0.1865983307361603 * x1)))) / exp(((-0.6834985017776489) * x1))))) * (((0.0036516967229545 * x1) - exp((1.9130901098251343 * x0))) / (exp(exp((0.7873576283454895 * x0))) + ((-2.2153601646423340) * x0)))))),(1.501522376202e-3) + ((((((x1) + ((exp((x1) * (0.1865983307361603))) * (-2.062316550365507))) / (exp((x1) * (-0.6834985017776489)))) + ((x1) * (0.8213703784114321))) + (2.0125964221487602)) * (((((x1) * (3.6516967229545e-3)) - (exp((1.9130901098251343) * (x0)))) / ((exp(exp((x0) * (0.7873576283454895)))) + ((x0) * (-2.215360164642334)))) * (2.7264668975190745))),saturated,3609.442417,45,12,42,11,153,167,73,2,105,(0.001501522376202 + ((-5.622837806777284 * (((exp((0.1865983307361603 * x1)) + (-0.48489161366753747 * x1)) / exp((-0.6834985017776489 * x1))) + (-0.3982756082066352 * (x1 + 2.4502909710978544)))) * (((0.0036516967229545 * x1) - exp((1.9130901098251343 * x0))) / (exp(exp((0.7873576283454895 * x0))) + (-2.215360164642334 * x0))))),saturated,379.191000,42,11,42,11,171,186,79,1,105,(0.001501522376202 + (((((x1 + (exp((x1 * 0.1865983307361603)) * -2.062316550365507)) / exp((x1 * -0.6834985017776489))) + (x1 * 0.8213703784114321)) + 2.0125964221487602) * ((((x1 * 0.0036516967229545) - exp((1.9130901098251343 * x0))) / (exp(exp((x0 * 0.7873576283454895))) + (x0 * -2.215360164642334))) * 2.7264668975190745))) -kotanchek,126,Operon,Operon,7,1,kept,12.0,10.0,egglog-baseline,((-0.0000124719463201) + (0.9946426749229431 * (exp(((exp(exp(((1.1653105020523071 * x1) - exp((0.4197142422199249 * x1))))) - ((0.9311969876289368 * x0) * (1.0738922357559204 * x0))) - (((-1.9999958276748657) * x0) - (-5.5033035278320312)))) * (exp((0.2837287485599518 * x1)) - ((-2.8964312076568604) - (((-0.2071333527565002) * x1) - exp(((-0.6339063644409180) * x1)))))))),(-1.24719463201e-5) + ((0.9946426749229431) * ((exp((exp(exp(((1.1653105020523071) * (x1)) - (exp((x1) * (0.4197142422199249)))))) + ((-5.503303527832031) + ((x0) * ((1.9999958276748657) + ((x0) * (-1.000005214974017))))))) * ((exp((x1) * (0.2837287485599518))) - ((-2.8964312076568604) - (((x1) * (-0.2071333527565002)) - (exp((x1) * (-0.633906364440918)))))))),saturated,8485.896958,45,12,41,11,259,280,109,2,103,(-1.24719463201e-05 + (0.9946426749229431 * (exp((((x0 * (1.9999958276748657 + (-1.000005214974017 * x0))) + exp(exp(((1.1653105020523071 * x1) - exp((0.4197142422199249 * x1)))))) + -5.503303527832031)) * (exp((0.2837287485599518 * x1)) - (-2.8964312076568604 - ((-0.2071333527565002 * x1) - exp((-0.633906364440918 * x1)))))))),saturated,407.987291,41,11,41,11,259,280,109,1,103,(-1.24719463201e-05 + (0.9946426749229431 * (exp((exp(exp(((1.1653105020523071 * x1) - exp((x1 * 0.4197142422199249))))) + (-5.503303527832031 + (x0 * (1.9999958276748657 + (x0 * -1.000005214974017)))))) * (exp((x1 * 0.2837287485599518)) - (-2.8964312076568604 - ((x1 * -0.2071333527565002) - exp((x1 * -0.633906364440918)))))))) -kotanchek,127,Operon,Operon,8,1,kept,14.0,9.0,egglog-baseline,((-0.0148077905178070) + (1.0382655858993530 * (((((0.0000003963598942 * x0) * (1793.5753173828125000 * x0)) + (0.0000325083929056 * x1)) * ((((68.1199569702148438 * x0) + 50.2617149353027344) + ((0.1230096146464348 * x1) * (355.7100830078125000 * x0))) * (exp(((-2.7948594093322754) * x0)) * (exp(((-3.0556442737579346) * x1)) + (2.6853957176208496 * x1))))) * (((-5.3364686965942383) * x1) + 22.9583053588867188)))),(-1.4807790517807e-2) + (((50.26171493530273) + ((x0) * ((68.11995697021484) + ((x1) * (43.75576023664235))))) * (((exp((x0) * (-2.7948594093322754))) * ((exp((x1) * (-3.0556442737579346))) + ((x1) * (2.6853957176208496)))) * ((((x1) + (-4.302153102395002)) * ((x1) + (((x0) * (x0)) * (21.86823953746175)))) * (-1.80118335767207e-4)))),saturated,3969.324333,49,14,37,9,717,734,146,2,91,(-0.014807790517807 + (((-0.007881214714052953 * ((x1 + (21.868239537461754 * (x0 * x0))) * ((x0 * (x1 + 1.556822612652704)) + 1.1486879593332286))) * (x1 + -4.302153102395002)) * (exp((-2.7948594093322754 * x0)) * (exp((-3.0556442737579346 * x1)) + (2.6853957176208496 * x1))))),saturated,4286.688917,39,10,37,9,674,686,117,2,91,(-0.014807790517807 + (((-0.007881214714052953 * ((x1 + -4.302153102395002) * ((x0 * (x1 + 1.556822612652704)) + 1.1486879593332284))) * (x1 + ((x0 * x0) * 21.86823953746175))) * (exp((x0 * -2.7948594093322754)) * (exp((x1 * -3.0556442737579346)) + (x1 * 2.6853957176208496))))) -kotanchek,128,Operon,Operon,9,1,kept,12.0,11.0,egglog-baseline,(0.0000034507245346 + (0.9999927282333374 * exp(((((2.4630110263824463 * x0) * (((-0.4060201048851013) * x0) + 0.8120366930961609)) - ((((-0.8767948746681213) * x1) / (((-0.3692416250705719) * x1) + exp((0.4968747496604919 * x1)))) + (0.7100588083267212 * x1))) - exp(((1.4052648544311523 - exp((0.1799458712339401 * x1))) * exp(exp((0.2937204837799072 * x1))))))))),(3.4507245346e-6) + ((0.9999927282333374) * (exp((((-1.000031995264962) * ((x0) * ((x0) + (-1.9999913386701804)))) - ((x1) * ((0.7100588083267212) + ((-0.8767948746681213) / (((x1) * (-0.3692416250705719)) + (exp((x1) * (0.4968747496604919)))))))) - (exp(((1.4052648544311523) - (exp((x1) * (0.1799458712339401)))) * (exp(exp((x1) * (0.2937204837799072))))))))),saturated,8216.473417,45,12,41,11,116,130,67,2,103,(3.4507245346e-06 + (0.9999927282333374 * exp(((((-1.000031995264962 * x0) * (x0 + -1.9999913386701804)) + (x1 * ((0.8767948746681213 / ((-0.3692416250705719 * x1) + exp((0.4968747496604919 * x1)))) + -0.7100588083267212))) - exp(((1.4052648544311523 - exp((0.1799458712339401 * x1))) * exp(exp((0.2937204837799072 * x1))))))))),saturated,286.970875,41,11,41,11,115,129,67,1,103,(3.4507245346e-06 + (0.9999927282333374 * exp((((-1.000031995264962 * (x0 * (x0 + -1.9999913386701804))) - (x1 * (0.7100588083267212 + (-0.8767948746681213 / ((x1 * -0.3692416250705719) + exp((x1 * 0.4968747496604919))))))) - exp(((1.4052648544311523 - exp((x1 * 0.1799458712339401))) * exp(exp((x1 * 0.2937204837799072))))))))) -kotanchek,129,Operon,Operon,10,1,kept,13.0,12.0,egglog-baseline,((-0.0019379730802029) + (1.0046592950820923 * ((((996.6720581054687500 + ((-386.7166748046875000) * x0)) + exp((1.7618920803070068 * x0))) - (((1074.8041992187500000 * x0) + 882.8044433593750000) * exp(((-1.9537824392318726) * x0)))) / (((((-15.7029571533203125) * x1) * ((-22.8576602935791016) * x1)) + 2638.8918457031250000) + (exp((2.8161077499389648 * x0)) - (1794.9840087890625000 * x1)))))),(-1.9379730802029e-3) + ((1.0046592950820923) * (((((996.6720581054688) + ((-386.7166748046875) * (x0))) + (exp((x0) * (1.7618920803070068)))) - ((((x0) * (1074.80419921875)) + (882.804443359375)) * (exp((x0) * (-1.9537824392318726))))) / ((2638.891845703125) + ((exp((x0) * (2.816107749938965))) + ((x1) * ((358.9328602152236) * ((x1) + (-5.000890717313407)))))))),saturated,2933.706208,44,13,40,12,287,308,113,2,107,(-0.0019379730802029 + (1.0046592950820923 * ((((996.6720581054688 + (-386.7166748046875 * x0)) + exp((1.7618920803070068 * x0))) + (-1074.80419921875 * (exp((-1.9537824392318726 * x0)) * (x0 + 0.8213630389619475)))) / (((x1 * ((358.9328602152236 * x1) + -1794.9840087890625)) + exp((2.816107749938965 * x0))) + 2638.891845703125)))),saturated,936.147042,40,12,40,12,282,302,110,2,107,(-0.0019379730802029 + (1.0046592950820923 * ((((996.6720581054688 + (-386.7166748046875 * x0)) + exp((x0 * 1.7618920803070068))) + (-1074.80419921875 * (exp((x0 * -1.9537824392318726)) * (x0 + 0.8213630389619475)))) / (2638.891845703125 + (exp((x0 * 2.816107749938965)) + (x1 * (358.9328602152236 * (x1 + -5.000890717313407)))))))) -kotanchek,130,Operon,Operon,11,1,kept,13.0,10.0,egglog-baseline,(0.0006644097738899 + (0.9983761310577393 * ((((exp((0.3564732372760773 * x1)) * ((2.8750302791595459 * x1) + (-16.9938793182373047))) + (8.4957685470581055 + 8.5495948791503906)) + (3.2266986370086670 * x1)) / exp((((((-0.4841774106025696) * x0) + 0.9682721495628357) * ((-2.0647206306457520) * x0)) + ((0.0918822064995766 * x1) * ((3.7386786937713623 * x1) + (-3.2311415672302246)))))))),(6.644097738899e-4) + ((0.9983761310577393) * (((((exp((0.3564732372760773) * (x1))) * (((x1) * (2.875030279159546)) + (-16.993879318237305))) + (17.045363426208496)) + ((x1) * (3.226698637008667))) / (exp(((0.9996910885637647) * ((x0) * ((x0) + (-1.999829253408992)))) + ((0.34351804777666756) * ((x1) * ((x1) + (-0.8642469256888284)))))))),saturated,8219.667708,43,14,35,10,192,208,85,2,92,(0.0006644097738899 + ((3.2214589013059935 * ((x1 + 5.282601613521155) + (0.8910129524289453 * (exp((0.3564732372760773 * x1)) * (x1 + -5.9108522930774505))))) / exp((((0.9996910885637647 * x0) * (x0 + -1.999829253408992)) + ((0.3435180477766676 * x1) * (x1 + -0.8642469256888284)))))),saturated,1261.205416,37,11,35,10,192,208,85,2,92,(0.0006644097738899 + ((3.2214589013059935 * ((x1 + 5.282601613521155) + (0.8910129524289453 * (exp((0.3564732372760773 * x1)) * (x1 + -5.9108522930774505))))) / exp(((0.9996910885637647 * (x0 * (x0 + -1.999829253408992))) + (0.34351804777666756 * (x1 * (x1 + -0.8642469256888284))))))) -kotanchek,131,Operon,Operon,12,1,kept,14.0,12.0,egglog-baseline,((-0.0007296766270883) + (1.0011714696884155 * (((((-796.1662597656250000) * x0) - (-3327.3220214843750000)) + ((((-416.2025756835937500) * x0) + 5066.6352539062500000) / ((1.3030259609222412 * x0) - exp((0.6703483462333679 * x0))))) / (((-34525.6953125000000000) - exp((2.9498600959777832 * x0))) - ((((-0.1925518661737442) * x0) + ((-19.2132587432861328) * x1)) * (((-239.9505157470703125) * x1) + 1202.1625976562500000)))))),(-7.296766270883e-4) + ((((x0) - (4.179179889466643)) + ((((x0) + (-12.173483658971914)) / (((x0) * (1.3030259609222412)) - (exp((x0) * (0.6703483462333679))))) * (0.522758369346266))) * ((-797.0989444058796) / (((-34525.6953125) - (exp((x0) * (2.949860095977783)))) + ((((x1) + (-5.010043816381869)) * ((x0) + ((x1) * (99.7822515308657)))) * (-46.20291959645079))))),saturated,1565.875833,45,14,41,12,150,166,78,2,109,(-0.0007296766270883 + ((-797.0989444058796 / ((-34525.6953125 - exp((2.949860095977783 * x0))) + (-46.20291959645078 * ((x1 + -5.010043816381869) * (x0 + (99.7822515308657 * x1)))))) * ((x0 + -4.179179889466643) + (0.522758369346266 * ((x0 + -12.173483658971914) / ((1.3030259609222412 * x0) - exp((0.6703483462333679 * x0)))))))),saturated,517.959417,41,12,41,12,150,166,78,2,109,(-0.0007296766270883 + (((x0 + -4.179179889466643) + (((x0 + -12.173483658971914) / ((x0 * 1.3030259609222412) - exp((x0 * 0.6703483462333679)))) * 0.522758369346266)) * (-797.0989444058796 / ((-34525.6953125 - exp((x0 * 2.949860095977783))) + (((x1 + -5.010043816381869) * (x0 + (x1 * 99.7822515308657))) * -46.20291959645079))))) 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(297.547607421875 * x1))) * exp((-1.0667701959609985 * x1)))) / exp(((x0 * ((exp((-0.1313982456922531 * x0)) * -6.930891990661621) + 4.3688435554504395)) + -3.746926784515381)))),saturated,823.521125,41,11,41,11,227,247,104,2,103,(0.0036648171953857 + (((x1 * 0.7371884750154898) / ((exp(exp((0.5352578163146973 * x0))) * ((exp((x1 * 2.5961806774139404)) + -1.9263886213302612) + (297.547607421875 * x1))) * exp((x1 * -1.0667701959609985)))) / exp(((x0 * ((exp((x0 * -0.1313982456922531)) * -6.930891990661621) + 4.3688435554504395)) + -3.746926784515381)))) -kotanchek,133,Operon,Operon,14,1,kept,14.0,11.0,egglog-baseline,((-0.0022257824894041) + (1.0057435035705566 * (((exp(((((-0.7701046466827393) * x1) - (-3.8445262908935547)) * (1.3931946754455566 * x1))) + (((15.1122426986694336 * x1) - (-13.2947568893432617)) * (((-2.5437910556793213) * x1) - (-15.1461124420166016)))) / (exp((2.8625166416168213 * x0)) + (((-3.6063053607940674) * x0) + 62.3201675415039062))) * ((0.0344910286366940 * x0) + 0.0158514883369207)))),(-2.2257824894041e-3) + (((exp((-1.072905693294274) * ((x1) * ((x1) - (4.992212821275688))))) + ((-38.442387808130434) * (((x1) - (-0.87973420983464)) * ((x1) - (5.954149578520246))))) * ((3.4689127982821026e-2) * (((x0) + (0.4595829397809482)) / ((exp((x0) * (2.8625166416168213))) + (((x0) * (-3.6063053607940674)) + (62.320167541503906)))))),saturated,1105.565875,43,14,37,11,184,199,79,2,99,(-0.0022257824894041 + ((exp(((-1.072905693294274 * x1) * (x1 + -4.992212821275688))) + (-38.442387808130434 * ((x1 + 0.87973420983464) * (x1 + -5.954149578520246)))) * (0.034689127982821026 * ((x0 + 0.4595829397809482) / (exp((2.8625166416168213 * x0)) + ((-3.6063053607940674 * x0) + 62.320167541503906)))))),saturated,618.173542,37,11,37,11,184,199,79,2,99,(-0.0022257824894041 + ((exp((-1.072905693294274 * (x1 * (x1 + -4.992212821275688)))) + (-38.442387808130434 * ((x1 + 0.87973420983464) * (x1 + -5.954149578520246)))) * (0.034689127982821026 * ((x0 + 0.4595829397809482) / (exp((x0 * 2.8625166416168213)) + ((x0 * -3.6063053607940674) + 62.320167541503906)))))) -kotanchek,134,Operon,Operon,15,1,kept,13.0,12.0,egglog-baseline,(0.0003700088418555 + (0.9992044568061829 * (((exp((0.1231540888547897 * x1)) * (((((-2.6712670326232910) * x0) - 1.5445685386657715) * ((1.0232990980148315 * x0) - exp(((-4.9796590805053711) * x0)))) - (((-10.8486871719360352) * x0) - 0.5861128568649292))) / (exp((2.4178924560546875 * x0)) - (-42.5792884826660156))) / (exp((0.3763327002525330 * x1)) - (0.9377985596656799 * x1))))),(3.700088418555e-4) + ((((x0) - (-5.402615519978467e-2)) + (((((x0) * (1.0232990980148315)) - (exp((x0) * (-4.979659080505371)))) * ((x0) - (-0.5782157005654891))) * (-0.24622951978313723))) * ((((exp((0.1231540888547897) * (x1))) / ((exp((x0) * (2.4178924560546875))) - (-42.579288482666016))) / ((exp((x1) * (0.376332700252533))) - ((x1) * (0.9377985596656799)))) * (10.84005657269455))),saturated,6376.189166,45,13,43,12,311,327,100,2,111,(0.0003700088418555 + (((10.84005657269455 / (exp((2.4178924560546875 * x0)) + 42.579288482666016)) * ((x0 + 0.05402615519978466) + (-0.24622951978313723 * (((1.0232990980148315 * x0) - exp((-4.979659080505371 * x0))) * (x0 + 0.5782157005654891))))) * (exp((0.1231540888547897 * x1)) / (exp((0.376332700252533 * x1)) + (-0.9377985596656799 * x1))))),saturated,1229.107417,43,12,43,12,311,327,100,2,111,(0.0003700088418555 + (((x0 + 0.05402615519978467) + ((((x0 * 1.0232990980148315) - exp((x0 * -4.979659080505371))) * (x0 + 0.5782157005654891)) * -0.24622951978313723)) * (((exp((0.1231540888547897 * x1)) / (exp((x0 * 2.4178924560546875)) + 42.579288482666016)) / (exp((x1 * 0.376332700252533)) + (-0.9377985596656799 * x1))) * 10.84005657269455))) -kotanchek,135,Operon,Operon,16,1,kept,12.0,11.0,egglog-baseline,((-0.0158226937055588) + (1.0497971773147583 * (((exp(((-0.3585180342197418) * x1)) - ((((exp((1.7362647056579590 * x1)) - (-7144.3906250000000000)) + ((-3211.7934570312500000) * x1)) / (exp((3.3592488765716553 * x1)) - (-8749.7304687500000000))) - (-252.0166625976562500))) - (-251.8914642333984375)) / (exp((0.7833101749420166 * x0)) + log(exp(((-1.7847769260406494) * x0))))))),(-1.58226937055588e-2) + ((1.0497971773147583) * ((((exp((-0.3585180342197418) * (x1))) - ((((exp((x1) * (1.736264705657959))) - (-7144.390625)) + ((x1) * (-3211.79345703125))) / ((exp((x1) * (3.3592488765716553))) - (-8749.73046875)))) + (-0.1251983642578125)) / ((exp((0.7833101749420166) * (x0))) + ((x0) * (-1.7847769260406494))))),saturated,522.730292,41,12,37,11,125,140,70,2,98,(-0.0158226937055588 + ((-0.1251983642578125 + (exp((-0.3585180342197418 * x1)) - (((exp((1.736264705657959 * x1)) + 7144.390625) + (-3211.79345703125 * x1)) / (exp((3.3592488765716553 * x1)) + 8749.73046875)))) * (1.0497971773147583 / (exp((0.7833101749420166 * x0)) + (-1.7847769260406494 * x0))))),saturated,493.896542,37,11,37,11,125,140,70,2,98,(-0.0158226937055588 + (((exp((-0.3585180342197418 * x1)) - (((exp((x1 * 1.736264705657959)) + 7144.390625) + (x1 * -3211.79345703125)) / (exp((x1 * 3.3592488765716553)) + 8749.73046875))) + -0.1251983642578125) * (1.0497971773147583 / (exp((0.7833101749420166 * x0)) + (x0 * -1.7847769260406494))))) -kotanchek,136,Operon,Operon,17,1,kept,11.0,8.0,egglog-baseline,((-0.0000000143612136) + (1.0000000000000000 * (((0.0493797957897186 - (0.0001029339036904 * x0)) / (exp(((-0.0000001355219865) * x0)) + (((-0.0032123271375895) * x1) * (((-41.7853355407714844) * x1) + 208.9266815185546875)))) / exp((((-1.8152447938919067) * x0) * (1.1029279232025146 - (0.5508886575698853 * x0))))))),(-1.43612136e-8) + ((((4.93797957897186e-2) - ((1.029339036904e-4) * (x0))) / ((exp((x0) * (-1.355219865e-7))) + ((0.13422816731090328) * ((x1) * ((x1) + (-5.000000091292728)))))) / (exp((-0.9999977676678355) * ((x0) * ((2.0020886399582447) - (x0)))))),saturated,1366.525208,35,11,29,8,149,161,66,2,75,(-1.43612136e-08 + (((0.0493797957897186 + (-0.0001029339036904 * x0)) / (exp((-1.355219865e-07 * x0)) + ((0.13422816731090328 * x1) * (x1 + -5.000000091292728)))) / exp(((-0.9999977676678355 * x0) * (2.0020886399582447 - x0))))),saturated,545.477458,29,8,29,8,215,231,90,1,75,(-1.43612136e-08 + (((0.0493797957897186 - (0.0001029339036904 * x0)) / (exp((x0 * -1.355219865e-07)) + (0.13422816731090328 * (x1 * (x1 + -5.000000091292728))))) / exp((-0.9999977676678355 * (x0 * (2.0020886399582447 - x0)))))) -kotanchek,137,Operon,Operon,18,1,kept,13.0,11.0,egglog-baseline,((-0.0000026597272154) + (1.0000067949295044 * ((exp(((1.3812974691390991 * x0) * (((-0.7240105271339417) * x0) + 1.4479488134384155))) * (((-0.0016091535799205) * x1) - (-0.0074326260946691))) * (exp((1.1061540842056274 * x1)) - ((((-4.3172826766967773) * x1) + (-5.3209042549133301)) - exp((((3.6427340507507324 * x1) - 0.0311711747199297) - exp((0.6457238197326660 * x1))))))))),(-2.6597272154e-6) + ((exp((-1.0000739087601787) * ((x0) * ((x0) + (-1.9999002212996078))))) * (((exp((x1) * (1.1061540842056274))) - ((((x1) * (-4.317282676696777)) + (-5.32090425491333)) - (exp((((x1) * (3.6427340507507324)) - (3.11711747199297e-2)) - (exp((x1) * (0.645723819732666))))))) * (((x1) - (4.618966261154704)) * (-1.6091645140056373e-3)))),saturated,1154.444416,43,13,39,11,234,250,89,2,101,(-2.6597272154e-06 + (((-0.0016091645140056373 * (x1 + -4.618966261154704)) * exp(((-1.0000739087601787 * x0) * (x0 + -1.9999002212996078)))) * (((exp((1.1061540842056274 * x1)) + (4.317282676696777 * x1)) + 5.32090425491333) + exp((((3.6427340507507324 * x1) + -0.0311711747199297) - exp((0.645723819732666 * x1))))))),saturated,693.025750,39,11,39,11,234,250,89,2,101,(-2.6597272154e-06 + (exp((-1.0000739087601787 * (x0 * (x0 + -1.9999002212996078)))) * ((((exp((x1 * 1.1061540842056274)) + (4.317282676696777 * x1)) + 5.32090425491333) + exp((((x1 * 3.6427340507507324) + -0.0311711747199297) - exp((x1 * 0.645723819732666))))) * ((x1 + -4.618966261154704) * -0.0016091645140056373)))) -kotanchek,138,Operon,Operon,19,1,kept,12.0,12.0,egglog-baseline,(0.0034536698367447 + (0.9867714047431946 * ((((((-0.6941707730293274) * x1) + exp((0.2583339512348175 * x1))) * (((-0.6002479791641235) * x1) + exp((0.2208170741796494 * x1)))) * (exp(((-0.8911798000335693) * x0)) - (0.7564386129379272 + ((-1.2858601808547974) * x0)))) / exp(((((-2.1546506881713867) * x1) + exp((0.6885151863098145 * x0))) + exp(((-1.0648982524871826) * x0))))))),(3.4536698367447e-3) + ((0.9867714047431946) * ((((((-0.6941707730293274) * (x1)) + (exp((x1) * (0.2583339512348175)))) * (((x1) * (-0.6002479791641235)) + (exp((x1) * (0.2208170741796494))))) * ((exp((-0.8911798000335693) * (x0))) - ((0.7564386129379272) + ((x0) * (-1.2858601808547974))))) / (exp((((x1) * (-2.1546506881713867)) + (exp((x0) * (0.6885151863098145)))) + (exp((x0) * (-1.0648982524871826))))))),saturated,843.452125,47,12,47,12,328,344,101,2,116,(0.0034536698367447 + (0.9867714047431946 * (((((-0.6941707730293274 * x1) + exp((0.2583339512348175 * x1))) * ((-0.6002479791641235 * x1) + exp((0.2208170741796494 * x1)))) * ((exp((-0.8911798000335693 * x0)) + -0.7564386129379272) + (1.2858601808547974 * x0))) / exp((((-2.1546506881713867 * x1) + exp((0.6885151863098145 * x0))) + exp((-1.0648982524871826 * x0))))))),saturated,835.670334,47,12,47,12,328,344,101,2,116,(0.0034536698367447 + (0.9867714047431946 * (((((-0.6941707730293274 * x1) + exp((x1 * 0.2583339512348175))) * ((x1 * -0.6002479791641235) + exp((x1 * 0.2208170741796494)))) * ((exp((-0.8911798000335693 * x0)) + -0.7564386129379272) + (1.2858601808547974 * x0))) / exp((((x1 * -2.1546506881713867) + exp((x0 * 0.6885151863098145))) + exp((x0 * -1.0648982524871826))))))) -kotanchek,139,Operon,Operon,20,1,kept,13.0,10.0,egglog-baseline,(0.0004888178664260 + (0.9988220334053040 * (exp((((((-5.1766362190246582) - (0.0070227989926934 * x0)) + (1.1790944337844849 * x1)) * ((-0.3277454376220703) * x1)) + (exp(((6.3319468498229980 * x1) * ((-0.0836486071348190) * x1))) * ((-1.0949771404266357) * x1)))) / (6.3024258613586426 / (0.0139735620468855 + exp(((2.2476174831390381 * x0) - exp((0.8711588978767395 * x0))))))))),(4.88817866426e-4) + ((0.998822033405304) * ((exp((x1) * (((((-737.1186651377163) - (x0)) + ((x1) * (167.89522738885566))) * (-2.301690329192133e-3)) + ((exp((-0.5296585344393987) * ((x1) * (x1)))) * (-1.0949771404266357))))) / ((6.302425861358643) / ((1.39735620468855e-2) + (exp(((x0) * (2.247617483139038)) - (exp((x0) * (0.8711588978767395))))))))),saturated,17974.692875,45,13,39,11,270,290,110,2,101,(0.000488817866426 + (0.998822033405304 * (exp((-1.0949771404266357 * (((exp((-0.5296585344393987 * (x1 * x1))) + (-0.002102044183584806 * x0)) + ((0.35292318618439245 * x1) + -1.549456002664533)) * x1))) / (6.302425861358643 / (0.0139735620468855 + exp(((2.247617483139038 * x0) - exp((0.8711588978767395 * x0))))))))),saturated,611.961292,39,11,39,11,187,205,92,2,101,(0.000488817866426 + (exp((x1 * ((((-737.1186651377163 - x0) + (x1 * 167.89522738885566)) * -0.002301690329192133) + (exp((-0.5296585344393987 * (x1 * x1))) * -1.0949771404266357)))) * (0.998822033405304 / (6.302425861358643 / (0.0139735620468855 + exp(((x0 * 2.247617483139038) - exp((x0 * 0.8711588978767395))))))))) -kotanchek,140,Operon,Operon,21,1,kept,14.0,8.0,egglog-baseline,(0.0000354178737325 + (0.9998701810836792 * (((21.8554801940917969 * x1) - ((21.8578433990478516 * x1) - 0.0542484000325203)) * exp(((((-1.2365419864654541) - ((-0.6182689070701599) * x0)) * ((-1.6172654628753662) * x0)) - (exp(((((-0.0128339584916830) * x1) - (0.0000608815898886 * x1)) - ((((-1.6681232452392578) * x1) - (-6.2428498268127441)) * ((-0.1763334870338440) * x1)))) * ((-0.3036648035049438) * x1))))))),(3.54178737325e-5) + ((exp(((-0.999904950174269) * ((x0) * ((x0) + (-2.0000067483987736)))) - ((exp((x1) * ((-0.29414598863525043) * ((x1) + (-3.6986009700714013))))) * ((x1) * (-0.3036648035049438))))) * (((x1) + (-22.955435961460857)) * (-2.3628981673482485e-3))),saturated,31077.477042,47,14,29,8,161,174,70,2,75,(3.54178737325e-05 + ((-0.0023628981673482485 * (x1 + -22.955435961460857)) * exp((((0.999904950174269 * x0) * (2.0000067483987736 - x0)) + (0.3036648035049438 * (exp((-0.29414598863525043 * (x1 * (-3.6986009700714013 + x1)))) * x1)))))),saturated,580.277500,29,8,29,8,162,175,70,2,75,(3.54178737325e-05 + (exp(((-0.999904950174269 * (x0 * (x0 + -2.0000067483987736))) + (0.3036648035049438 * (exp((x1 * (-0.29414598863525043 * (x1 + -3.6986009700714013)))) * x1)))) * ((x1 + -22.955435961460857) * -0.0023628981673482485))) -kotanchek,141,Operon,Operon,22,1,kept,13.0,10.0,egglog-baseline,(0.0000054139832173 + (0.9996626973152161 * (exp(((((-0.1160286292433739) * x0) * ((-17.2363529205322266) + (8.6183118820190430 * x0))) + exp((exp((((1.4520825147628784 * x1) + (-7.2530150413513184)) * ((-0.1153997406363487) * x1))) + (-2.4340145587921143))))) * (exp((((1.4263883829116821 * x1) + (-7.1799330711364746)) * ((-0.0031533578876406) * x1))) + (-0.9611204862594604))))),(5.4139832173e-6) + ((0.9996626973152161) * ((exp(((-0.9999709140625515) * ((x0) * ((x0) + (-1.999968573485206)))) + (exp((exp((-0.16756994558621316) * ((x1) * ((x1) + (-4.99490557018085))))) + (-2.4340145587921143))))) * ((exp((-4.497913058093474e-3) * ((x1) * ((x1) + (-5.033645223946721))))) + (-0.9611204862594604)))),saturated,586.303083,41,13,35,10,136,149,66,2,91,(5.4139832173e-06 + (0.9996626973152161 * (exp((((-0.9999709140625515 * x0) * (x0 + -1.999968573485206)) + exp((exp(((-0.16756994558621316 * x1) * (x1 + -4.99490557018085))) + -2.4340145587921143)))) * (exp(((-0.004497913058093474 * x1) * (x1 + -5.033645223946721))) + -0.9611204862594604)))),saturated,284.693500,35,10,35,10,136,149,66,1,91,(5.4139832173e-06 + (0.9996626973152161 * (exp(((-0.9999709140625515 * (x0 * (x0 + -1.999968573485206))) + exp((exp((-0.16756994558621316 * (x1 * (x1 + -4.99490557018085)))) + -2.4340145587921143)))) * (exp((-0.004497913058093474 * (x1 * (x1 + -5.033645223946721)))) + -0.9611204862594604)))) -kotanchek,142,Operon,Operon,23,1,kept,11.0,10.0,egglog-baseline,(0.0008338154293597 + (0.9979702830314636 * ((exp(exp(exp(((0.0654336437582970 + ((-0.0385530032217503) * x1)) * ((-17.4296455383300781) + (5.2765936851501465 * x1)))))) * (exp(((-0.6076733469963074) * x0)) + ((-0.9865196943283081) + (0.7046096920967102 * x0)))) * exp((exp(((-4.4563603401184082) * x0)) - exp((0.6908147931098938 * x0))))))),(8.338154293597e-4) + ((0.9979702830314636) * ((exp(exp(exp((-0.2034285333434609) * (((x1) + (-1.697238562244654)) * ((x1) + (-3.3032002421149307))))))) * (((exp((-0.6076733469963074) * (x0))) + ((-0.9865196943283081) + ((x0) * (0.7046096920967102)))) * (exp((exp((x0) * (-4.456360340118408))) - (exp((x0) * (0.6908147931098938)))))))),saturated,630.151959,40,11,38,10,181,195,77,2,94,(0.0008338154293597 + (0.9979702830314636 * ((exp(exp(exp((-0.2034285333434609 * ((x1 + -1.697238562244654) * (x1 + -3.3032002421149307)))))) * (exp((-0.6076733469963074 * x0)) + (-0.9865196943283081 + (0.7046096920967102 * x0)))) * exp((exp((-4.456360340118408 * x0)) - exp((0.6908147931098938 * x0))))))),saturated,353.193334,38,10,38,10,181,195,77,1,94,(0.0008338154293597 + (0.9979702830314636 * (exp(exp(exp((-0.2034285333434609 * ((x1 + -1.697238562244654) * (x1 + -3.3032002421149307)))))) * ((exp((-0.6076733469963074 * x0)) + (-0.9865196943283081 + (x0 * 0.7046096920967102))) * exp((exp((x0 * -4.456360340118408)) - exp((x0 * 0.6908147931098938)))))))) -kotanchek,143,Operon,Operon,24,1,kept,11.0,10.0,egglog-baseline,(0.0000109874044938 + (0.9998849630355835 * (exp(((227.2529296875000000 * x0) * ((-0.0044004078954458) * x0))) * (((exp((0.0044344896450639 * x1)) - 0.9905131459236145) * exp(((1.9999943971633911 * x0) - (0.0865126922726631 * x1)))) * (exp(((-0.2363450229167938) * x1)) + exp(exp(exp(((1.1673830747604370 * x1) - exp((0.4206682443618774 * x1))))))))))),(1.09874044938e-5) + ((0.9998849630355835) * ((exp((-1.0000055860600643) * ((x0) * (x0)))) * ((((exp((4.4344896450639e-3) * (x1))) - (0.9905131459236145)) * (exp(((x0) * (1.9999943971633911)) - ((x1) * (8.65126922726631e-2))))) * ((exp((x1) * (-0.2363450229167938))) + (exp(exp(exp(((x1) * (1.167383074760437)) - (exp((x1) * (0.4206682443618774))))))))))),saturated,1044.267958,45,11,43,10,329,344,97,2,101,(1.09874044938e-05 + (0.9998849630355835 * (exp((-1.0000055860600643 * (x0 * x0))) * (((exp((0.0044344896450639 * x1)) + -0.9905131459236145) * exp(((1.9999943971633911 * x0) + (-0.0865126922726631 * x1)))) * (exp((-0.2363450229167938 * x1)) + exp(exp(exp(((1.167383074760437 * x1) - exp((0.4206682443618774 * x1))))))))))),saturated,987.097000,43,10,43,10,329,344,97,2,101,(1.09874044938e-05 + (0.9998849630355835 * (exp((-1.0000055860600643 * (x0 * x0))) * (((exp((0.0044344896450639 * x1)) + -0.9905131459236145) * exp(((x0 * 1.9999943971633911) + (-0.0865126922726631 * x1)))) * (exp((x1 * -0.2363450229167938)) + exp(exp(exp(((x1 * 1.167383074760437) - exp((x1 * 0.4206682443618774))))))))))) -kotanchek,144,Operon,Operon,25,1,kept,13.0,13.0,egglog-baseline,((-0.0021912427619100) + (1.0060203075408936 * ((((-1.9571648836135864) + ((-0.1280445605516434) * x1)) + (((-4.9479722976684570) * x0) + (((exp(((-25.1299152374267578) * x0)) - ((-1013.9223632812500000) + ((-2498.2419433593750000) * x0))) / ((-763.4477539062500000) - exp((2.6487932205200195 * x1)))) / exp(((-1.3105899095535278) * x1))))) / ((-64.6880645751953125) - exp((2.9050159454345703 * x0)))))),(-2.19124276191e-3) + ((1.0060203075408936) * ((((-1.9571648836135869) + ((-0.1280445605516434) * (x1))) + (((-4.947972297668457) * (x0)) + ((((exp((x0) * (-25.129915237426758))) - ((-1013.9223632812502) + ((x0) * (-2498.241943359375)))) / ((-763.44775390625) - (exp((x1) * (2.6487932205200195))))) / (exp((x1) * (-1.3105899095535278)))))) / ((-64.68806457519531) - (exp((x0) * (2.9050159454345703)))))),saturated,768.768750,43,13,43,13,256,277,109,2,115,(-0.00219124276191 + (((-1.9571648836135864 + (-0.1280445605516434 * x1)) + ((-4.947972297668457 * x0) + ((((exp((-25.129915237426758 * x0)) + 1013.92236328125) + (2498.241943359375 * x0)) / (-763.44775390625 - exp((2.6487932205200195 * x1)))) / exp((-1.3105899095535278 * x1))))) * (1.0060203075408936 / (-64.68806457519531 - exp((2.9050159454345703 * x0)))))),saturated,725.049125,43,13,43,13,256,277,109,2,115,(-0.00219124276191 + (((-1.9571648836135869 + (-0.1280445605516434 * x1)) + ((-4.947972297668457 * x0) + ((((exp((x0 * -25.129915237426758)) + 1013.9223632812502) + (2498.241943359375 * x0)) / (-763.44775390625 - exp((x1 * 2.6487932205200195)))) / exp((x1 * -1.3105899095535278))))) * (1.0060203075408936 / (-64.68806457519531 - exp((x0 * 2.9050159454345703)))))) 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* (x0 + -1.9999606501329321))))))),saturated,497.269708,31,9,31,9,155,167,64,2,82,(-1.7344426624e-06 + (exp((exp((0.5824717772909054 * ((3.0425383777981425 - x1) * (x1 + -1.9492535420091783)))) + (x0 * ((x0 + -1.999960650132932) * -0.9999608547843195)))) * ((6.150038815524071 - x1) * ((-1.1037669397382512 - x1) * -0.007059581599505541)))) -kotanchek,146,Operon,Operon,27,1,kept,13.0,11.0,egglog-baseline,((-0.0020811073482037) + (0.9979038834571838 * ((((((-0.0209705717861652) * x1) - ((0.0227618105709553 * x0) + 0.0106864003464580)) * exp((0.0658860057592392 * x0))) + (0.0203825030475855 * x1)) * ((40.4724655151367188 / ((-62.7512664794921875) - exp((2.9289722442626953 * x0)))) / (exp((0.1633399575948715 * x1)) + ((-0.8682605624198914) - (0.2447641491889954 * x1))))))),(-2.0811073482037e-3) + (((-0.8469517048965315) / ((-62.75126647949219) - (exp((x0) * (2.9289722442626953))))) * ((((exp((x0) * (6.58860057592392e-2))) * (((x1) - ((x0) * (-1.0854167832453585))) + (0.5095903180621941))) + ((x1) * (-0.9719574294599034))) / ((exp((x1) * (0.1633399575948715))) + ((-0.8682605624198914) - ((x1) * (0.2447641491889954)))))),saturated,13973.752042,42,13,38,11,190,206,86,2,100,(-0.0020811073482037 + (((0.8232010019679153 / (-62.75126647949219 - exp((2.9289722442626953 * x0)))) * (x1 + (-1.0288516448253082 * (exp((0.0658860057592392 * x0)) * ((x1 + (1.0854167832453585 * x0)) + 0.5095903180621942))))) / (exp((0.1633399575948715 * x1)) + (-0.8682605624198914 + (-0.2447641491889954 * x1))))),saturated,691.685041,38,11,38,11,180,196,84,2,100,(-0.0020811073482037 + ((-0.8469517048965315 / (-62.75126647949219 - exp((x0 * 2.9289722442626953)))) * (((exp((x0 * 0.0658860057592392)) * ((x1 + (1.0854167832453585 * x0)) + 0.5095903180621941)) + (x1 * -0.9719574294599034)) / (exp((x1 * 0.1633399575948715)) + (-0.8682605624198914 + (-0.2447641491889954 * x1)))))) -kotanchek,147,Operon,Operon,28,1,kept,12.0,11.0,egglog-baseline,(0.0014168095076457 + (0.9966097474098206 * (((4.5074963569641113 * x0) + exp(((-2.2596077919006348) * x0))) * ((((-0.0000623191444902) * x0) - exp(((0.5578119754791260 * x0) - exp((0.7266396284103394 * x0))))) * ((exp((1.8929998874664307 * x1)) * ((-0.0988849624991417) - ((-0.0229831431061029) * x1))) * (exp((0.2581167519092560 * x1)) + ((-0.6963179111480713) * x1))))))),(1.4168095076457e-3) + ((0.9966097474098206) * ((((4.507496356964111) * (x0)) + (exp((x0) * (-2.2596077919006348)))) * ((((x0) * (-6.23191444902e-5)) - (exp(((x0) * (0.557811975479126)) - (exp((x0) * (0.7266396284103394)))))) * (((exp((1.8929998874664307) * (x1))) * ((-9.88849624991417e-2) - ((x1) * (-2.29831431061029e-2)))) * ((exp((x1) * (0.258116751909256))) + ((x1) * (-0.6963179111480713))))))),saturated,8677.765291,46,12,44,11,736,750,136,2,108,(0.0014168095076457 + (((-0.022905224445656968 * (((4.507496356964111 * x0) + exp((-2.2596077919006348 * x0))) * (4.302499533794574 - x1))) * ((exp((0.258116751909256 * x1)) + (-0.6963179111480713 * x1)) * exp((1.8929998874664307 * x1)))) * ((-6.23191444902e-05 * x0) - exp(((0.557811975479126 * x0) - exp((0.7266396284103394 * x0))))))),saturated,8565.661708,46,12,44,11,736,750,136,2,108,(0.0014168095076457 + (((-0.022905224445656968 * (((4.507496356964111 * x0) + exp((x0 * -2.2596077919006348))) * (4.302499533794574 - x1))) * ((exp((x1 * 0.258116751909256)) + (x1 * -0.6963179111480713)) * exp((1.8929998874664307 * x1)))) * ((x0 * -6.23191444902e-05) - exp(((x0 * 0.557811975479126) - exp((x0 * 0.7266396284103394))))))) -kotanchek,148,Operon,Operon,29,1,kept,12.0,9.0,egglog-baseline,((-0.0000438776442024) + (1.0001060962677002 * (exp((((((-0.3045227825641632) * x1) * exp((0.5642136931419373 * x1))) - (4.0260410308837891 + ((-1.9999954700469971) * x0))) - (((-0.6665219664573669) * x0) * ((-1.5003671646118164) * x0)))) * (exp(exp((0.6489872336387634 * x1))) - (exp((1.3141704797744751 * x1)) * ((-0.1860205531120300) * exp((1.5301641225814819 * x1)))))))),(-4.38776442024e-5) + ((1.0001060962677002) * ((exp((((-0.3045227825641632) * (x1)) * (exp((x1) * (0.5642136931419373)))) + ((-4.02604103088379) + ((x0) * ((1.999995470046997) + ((x0) * (-1.0000276729651318))))))) * ((exp(exp((x1) * (0.6489872336387634)))) - ((exp((x1) * (1.314170479774475))) * ((-0.18602055311203) * (exp((x1) * (1.530164122581482)))))))),saturated,8814.906583,45,12,41,11,278,299,116,2,103,(-4.38776442024e-05 + (1.0001060962677002 * (exp(((x0 * ((-1.0000276729651318 * x0) + 1.999995470046997)) + (((-0.3045227825641632 * x1) * exp((0.5642136931419373 * x1))) + -4.026041030883789))) * (exp(exp((0.6489872336387634 * x1))) + (0.18602055311203 * (exp((1.314170479774475 * x1)) * exp((1.530164122581482 * x1)))))))),saturated,1076.354250,41,11,41,11,278,299,116,2,103,(-4.38776442024e-05 + (1.0001060962677002 * (exp((((-0.3045227825641632 * x1) * exp((x1 * 0.5642136931419373))) + (-4.02604103088379 + (x0 * (1.999995470046997 + (x0 * -1.0000276729651318)))))) * (exp(exp((x1 * 0.6489872336387634))) + (0.18602055311203 * 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((x0) - ((-1.978) + ((x0) * (x0)))))))))),saturated,1241.293333,28,6,26,5,444,456,92,2,59,(0.008014 - (0.000927 * ((x1 + -4.331) * (((3.46 + x1) + x1) * (exp((x0 + (x0 - (-1.978 + (x0 * x0))))) * x1))))),saturated,678.598750,26,5,26,5,444,456,92,1,59,(0.008014 - (0.000927 * (x1 * ((x1 + -4.331) * ((x1 + (x1 + 3.46)) * exp((x0 + (x0 - (-1.978 + (x0 * x0)))))))))) -kotanchek,168,SBP,SBP,19,1,kept,5.0,4.0,egglog-baseline,0.025140-0.013750*((exp(((x0-x1)-exp(x0)))*(exp(x0)*(((x1*(-17.939000))*(x1-((exp(x0)-0.338000)*(-3.388000))))*x1)))),(2.514e-2) - ((x1) * ((exp(((x0) - (x1)) - (exp(x0)))) * ((exp(x0)) * (((x1) * ((x1) - (((exp(x0)) - (0.338)) * (-3.388)))) * (-0.24666125))))),saturated,12726.994959,29,5,27,4,506,518,93,2,55,(0.02514 - (((-0.24666125 * (exp(x0) * (x1 * x1))) * (x1 - ((exp(x0) - 0.338) * -3.388))) * exp(((x0 - x1) - exp(x0))))),saturated,1063.257834,27,4,27,4,472,484,99,1,55,(0.02514 - (x1 * (exp(((x0 - x1) - exp(x0))) * (exp(x0) * ((x1 * (x1 - ((exp(x0) - 0.338) * 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(x1))),saturated,572.588916,29,5,27,5,109,118,48,2,60,(0.429537 + (0.028001 * ((((x0 + (((x0 * ((-5.937 * x0) + 6.407)) + exp(x0)) + x0)) - exp((2.577 - x1))) - x1) - x1))),saturated,269.579917,25,5,25,5,80,88,41,1,57,(0.429537 + (0.028001 * ((((x0 + (exp(x0) + (x0 * (5.937 * (1.2475997978777158 - x0))))) - exp((2.577 - x1))) - x1) - x1))) -kotanchek,171,SBP,SBP,22,1,kept,6.0,4.0,egglog-baseline,0.033047-0.000135*((((exp(x1)*x1)+((exp(x0)*(-2.136000*exp(x0)))*exp((5.051000-(x0*x0)))))*(-2.136000+(x1+3.852000)))),(3.3047e-2) - ((1.35e-4) * ((((x1) * (exp(x1))) + ((exp(x0)) * ((-2.136) * ((exp(x0)) * (exp((5.051) - ((x0) * (x0)))))))) * ((x1) + (1.7159999999999997)))),saturated,493.036917,29,6,27,5,132,143,58,2,59,(0.033047 - (0.000135 * (((exp(x1) * x1) + ((exp(x0) * (-2.136 * exp(x0))) * exp((5.051 - (x0 * x0))))) * (1.7159999999999997 + x1)))),saturated,319.585792,27,5,27,5,132,143,58,1,59,(0.033047 - (0.000135 * (((x1 * exp(x1)) + (exp(x0) * (-2.136 * (exp(x0) * exp((5.051 - (x0 * x0))))))) * (x1 + 1.7159999999999997)))) -kotanchek,172,SBP,SBP,23,1,kept,6.0,3.0,egglog-baseline,1289016.678435-0.009565*((((x0+x0)*x0)+(exp(18.719000)-(((x1+x1)-exp(x1))+(-7.155000+(((8.072000-x0)+7.155000)*x1)))))),(9.565e-3) * ((((((x1) + (x1)) - (exp(x1))) + ((x1) * (((8.072) - (x0)) + (7.155)))) + (4695.615595638752)) - ((x0) * ((x0) + (x0)))),saturated,705.701459,29,6,24,4,52,58,30,2,52,(0.009565 * ((((4695.615595638752 + (x1 + x1)) - exp(x1)) + (((8.072 - x0) + 7.155) * x1)) - ((x0 + x0) * x0))),saturated,256.794958,24,4,24,4,57,63,31,1,52,(0.009565 * (((((x1 + x1) - exp(x1)) + (x1 * ((8.072 - x0) + 7.155))) + 4695.615595638752) - (x0 * (x0 + x0)))) -kotanchek,173,SBP,SBP,24,1,kept,7.0,4.0,egglog-baseline,-8.689343-0.039334*((((x0-x1)+(15.347000-((11.471000*(x0+19.197000))+(x0*x0))))+(-19.039000-((x0-7.988000)*(x0*x0))))),(3.9334e-2) * ((x1) + ((((x0) * ((x0) + ((x0) * ((x0) - (7.988))))) + ((11.471) * ((x0) + (0.2605728591270484)))) - (x0))),saturated,850.831500,29,7,21,4,90,101,48,2,48,(0.039334 * (((11.471 * (0.2605728591270473 + x0)) + (x0 * (x0 + ((x0 - 7.988) * x0)))) - (x0 - x1))),saturated,351.536500,21,4,21,4,46,52,27,2,48,(0.039334 * (x1 + (((x0 * (x0 + (x0 * (x0 + -7.988)))) + (11.471 * (x0 + 0.2605728591270484))) - x0))) -kotanchek,174,SBP,SBP,25,1,kept,6.0,6.0,egglog-baseline,0.101111-0.009711*(((((x1-(x0-4.696000))*(((x0+x1)+(-2.186000-x1))*(x0*(4.648000-x0))))-(x1*3.723000))+x0)),(0.101111) - ((9.711e-3) * ((x0) + (((x1) * (-3.723)) - ((((x1) + ((4.696) - (x0))) * ((x0) * ((4.648) - (x0)))) * ((2.186) - (x0)))))),saturated,877.526250,29,6,29,6,261,277,91,2,68,(0.101111 - (0.009711 * (((((x1 - x0) - -4.696) * (((x0 + x1) + (-2.186 - x1)) * (x0 * (4.648 - x0)))) - (x1 * 3.723)) + x0))),saturated,581.139500,25,6,25,6,142,154,60,2,62,(0.009711 * (((-3.723 * (-2.796671233512879 - x1)) + (((x1 + (4.696 - x0)) * (x0 * (4.648 - x0))) * (2.186 - x0))) - x0)) -kotanchek,175,SBP,SBP,26,1,kept,5.0,1.0,egglog-baseline,0.029215-0.000000*(((((((x1*x1)-x1)-14.532000)*4.291000)*(x1*exp(x0)))*exp((((x0+exp(4.291000))+x0)-exp(x0))))),2.9215e-2,saturated,1841.432375,29,5,1,1,3,4,3,2,6,0.029215,saturated,223.475416,1,1,1,1,3,4,3,1,6,0.029215 -kotanchek,176,SBP,SBP,27,1,kept,5.0,5.0,egglog-baseline,3.531127+0.009016*(((((((x0*x0)+20.982000)*(x0-18.033000))+((15.309000*x1)-exp(x1)))+(exp(x0)+exp(x0)))+x0)),(3.531127) + ((9.016e-3) * ((x0) + ((((((x0) * (x0)) + (20.982)) * ((x0) - (18.033))) + (((15.309) * (x1)) - (exp(x1)))) + ((exp(x0)) + (exp(x0)))))),saturated,635.995500,28,5,28,5,526,534,81,2,61,(3.531127 + (0.009016 * ((((((x0 * x0) + 20.982) * (x0 + -18.033)) + ((15.309 * x1) - exp(x1))) + (exp(x0) + exp(x0))) + x0))),saturated,631.713125,28,5,28,5,484,492,75,2,61,(3.531127 + (0.009016 * (x0 + (((((x0 * x0) + 20.982) * (x0 + -18.033)) + ((15.309 * x1) - exp(x1))) + (exp(x0) + exp(x0)))))) -kotanchek,177,SBP,SBP,28,1,kept,5.0,4.0,egglog-baseline,0.001695-0.003018*((3.647000*((((((-9.189000+(x1+x1))*x1)+x1)*x1)-4.450000)*exp(((x0+x0)-(x0*x0)))))),(1.695e-3) - ((((x1) * ((x1) * ((x1) + ((x1) + (-8.189))))) + (-4.45)) * ((exp(((x0) + (x0)) - ((x0) * (x0)))) * (1.1006645999999998e-2))),saturated,691.434291,28,5,26,4,105,116,53,2,55,(0.001695 - (0.011006645999999998 * ((((((-9.189 + (x1 + x1)) * x1) + x1) * x1) - 4.45) * exp(((x0 + x0) - (x0 * x0)))))),saturated,336.504000,24,4,24,4,102,112,50,1,52,(0.001695 - (((x1 * (x1 * (x1 + (x1 + -8.189)))) + -4.45) * (exp(((x0 + x0) - (x0 * x0))) * 0.011006645999999998))) -kotanchek,178,SBP,SBP,29,1,kept,6.0,5.0,egglog-baseline,0.106297-0.005360*(((exp(x1)+(-20.176000*x1))+(exp(1.704000)-(x0*((-9.587000-x1)+exp((((x0-exp(x0))+4.797000)+x0))))))),(5.36e-3) * (((x1) * (20.176)) + (((x0) * (((-9.587) - (x1)) + (exp((x0) + (((x0) - (exp(x0))) + (4.797)))))) + ((14.335642819425818) - (exp(x1))))),saturated,663.290167,29,6,26,5,103,113,51,2,58,(0.00536 * ((14.335642819425818 + (x0 * ((-9.587 - x1) + exp((((x0 - exp(x0)) + 4.797) + x0))))) - (exp(x1) + (-20.176 * x1)))),saturated,261.030250,26,5,26,5,76,83,38,1,58,(0.00536 * ((x1 * 20.176) + ((x0 * ((-9.587 - x1) + exp((x0 + ((x0 - exp(x0)) + 4.797))))) + (14.335642819425818 - exp(x1))))) -kotanchek,179,SBP,SBP,30,1,kept,5.0,2.0,egglog-baseline,0.045524+0.000000*(exp(((x0+x1)-(((-1.333000*x1)+(x1*x1))-(((17.339000+x0)+(2.682000*x1))-(x0*x0)))))),4.5524e-2,saturated,705.403791,28,5,1,1,3,4,3,2,6,0.045524,saturated,221.858875,1,1,1,1,3,4,3,1,6,0.045524 -kotanchek,180,SRjl,SRjl,1,1,kept,8.0,6.0,egglog-baseline,(((x1 / ((exp(x0 * x0) + (exp(x1) + 2.123942905811524)) - -1.3807964412201128)) * (((x1 + (((x0 * x1) - (0.5001045169066385 - (log(x0 - -0.7116175810554622) * 0.40296766612240004))) - -0.44720866860488395)) + x0) + ((exp(x1 + x0) + (x1 * x1)) * -0.029820142635731767))) - -0.011424247853121624),(((x1) / ((exp(x1)) + ((exp((x0) * (x0))) + (3.504739347031637)))) * (((log((x0) + (0.7116175810554622))) * (0.40296766612240004)) + ((((x1) * (x0)) + (-5.289584830175453e-2)) + ((x1) + ((x0) + (((exp((x1) + (x0))) + ((x1) * (x1))) * (-2.9820142635731767e-2))))))) + (1.1424247853121624e-2),saturated,899.014375,45,8,41,6,732,747,169,2,84,(((x1 / (3.504739347031637 + (exp((x0 * x0)) + exp(x1)))) * (((x1 + ((-0.05289584830175453 + (x0 * x1)) + (log((x0 - -0.7116175810554622)) * 0.40296766612240004))) + x0) + ((exp((x1 + x0)) + (x1 * x1)) * -0.029820142635731767))) - -0.011424247853121624),saturated,491.042917,41,6,41,6,805,817,148,1,84,(((x1 / (exp(x1) + (exp((x0 * x0)) + 3.504739347031637))) * ((log((x0 + 0.7116175810554622)) * 0.40296766612240004) + (((x1 * x0) + -0.05289584830175453) + (x1 + (x0 + ((exp((x1 + x0)) + (x1 * x1)) * -0.029820142635731767)))))) + 0.011424247853121624) -kotanchek,181,SRjl,SRjl,2,1,kept,9.0,8.0,egglog-baseline,(((((x1 - (exp(log(0.060649662684691685)) - (x1 + ((x0 + exp(x1 * -2.33304710784059)) - (-0.025166137547190513 - 0.26379072618381194))))) / (((exp(x0) - -1.86535733243554) - x1) + exp(x1 - 1.5565632534973677))) - 0.2581807926919453) / ((exp(x0 / 1.1012776051072322) + 0.4782812307154963) - x0)) * (x0 + 0.2581807926919453)),(((((x1) + ((x1) + ((x0) + (exp((x1) * (-2.33304710784059)))))) + (0.22830720104631075)) / ((((exp(x0)) + (1.86535733243554)) - (x1)) + (exp((x1) - (1.5565632534973677))))) + (-0.2581807926919453)) * (((x0) + (0.2581807926919453)) / (((exp((x0) / (1.1012776051072322))) + (0.4782812307154963)) - (x0))),saturated,899.364542,45,10,39,8,229,243,79,2,89,(((((((x1 - -0.22830720104631075) + x1) + (x0 + exp((x1 * -2.33304710784059)))) / (((exp(x0) - -1.86535733243554) - x1) + exp((x1 - 1.5565632534973677)))) - 0.2581807926919453) / ((exp((x0 / 1.1012776051072322)) + 0.4782812307154963) - x0)) * (x0 + 0.2581807926919453)),saturated,496.965250,39,8,39,8,213,223,67,2,89,(((((x1 + (x1 + (x0 + exp((x1 * -2.33304710784059))))) + 0.22830720104631075) / (((exp(x0) + 1.86535733243554) - x1) + exp((x1 + -1.5565632534973677)))) + -0.2581807926919453) * ((x0 + 0.2581807926919453) / ((exp((x0 / 1.1012776051072322)) + 0.4782812307154963) - x0))) -kotanchek,182,SRjl,SRjl,3,1,kept,9.0,6.0,egglog-baseline,(((((((x0 / exp((x0 * x0) + -0.12087468709548371)) * (x1 / 0.5947634776272314)) / ((exp(x1 - x0) - x1) + 2.2629335889059945)) * (x1 + (((exp((0.27943051594577284 + 0.10597416087671603) + 1.2206854231318682) + exp(x1)) + 2.523828871594013) * -0.0454913207896129))) - (x0 * 0.05041963936946082)) - -0.18147813675635233) + -0.01334030820098058),((x0) * ((-5.041963936946082e-2) + (((x1) + (((exp(x1)) + (7.507117797574302)) * (-4.54913207896129e-2))) * ((((x1) / (0.5947634776272314)) / (exp(((x0) * (x0)) - (0.12087468709548371)))) / (((exp((x1) - (x0))) - (x1)) + (2.2629335889059945)))))) + (0.16813782855537174),saturated,5518.601542,45,11,34,7,262,273,88,2,78,(0.16813782855537174 + ((((((x1 + ((7.507117797574302 + exp(x1)) * -0.0454913207896129)) / ((exp((x1 - x0)) - x1) + 2.2629335889059945)) / exp(((x0 * x0) + -0.12087468709548371))) * x1) + -0.029987760052091382) * (x0 / 0.5947634776272314))),saturated,1063.442583,34,7,34,7,262,273,88,2,78,((x0 * (-0.05041963936946082 + ((x1 + ((exp(x1) + 7.507117797574302) * -0.0454913207896129)) * (((x1 / 0.5947634776272314) / exp(((x0 * x0) + -0.12087468709548371))) / ((exp((x1 - x0)) - x1) + 2.2629335889059945))))) + 0.16813782855537174) -kotanchek,183,SRjl,SRjl,4,1,kept,9.0,7.0,egglog-baseline,(((((x0 * x1) / 0.3268050163951488) + (((x1 + -0.5544986714499122) * x1) + 0.30370477454811745)) - ((((0.12540124052297874 - (exp(x1 + x0) * 0.003973572440442301)) / -0.7122963745947987) * x1) * (x1 + -0.7286282015526498))) / (((exp(x1) + 2.758453524484197) - -1.4870260456714612) + exp(x0 * x0))),((0.30370477454811745) + ((x1) * ((((x1) - (0.554498671449912)) + ((x0) / (0.3268050163951488))) + (((x1) - (0.7286282015526498)) * (((31.55881575145519) - (exp((x1) + (x0)))) * (5.5785380666899115e-3)))))) / ((exp(x1)) + ((exp((x0) * (x0))) + (4.245479570155658))),saturated,22295.202500,42,9,34,7,206,219,79,2,78,(((x1 * ((((x1 + -0.7286282015526498) * 0.0055785380666899115) * (31.55881575145519 - exp((x1 + x0)))) + ((x0 / 0.3268050163951488) + (x1 + -0.5544986714499122)))) + 0.30370477454811745) / ((4.245479570155658 + exp(x1)) + exp((x0 * x0)))),saturated,652.503042,34,7,34,7,193,205,73,2,78,((0.30370477454811745 + (x1 * (((x1 + -0.554498671449912) + (x0 / 0.3268050163951488)) + ((x1 + -0.7286282015526498) * ((31.55881575145519 - exp((x1 + x0))) * 0.0055785380666899115))))) / (exp(x1) + (exp((x0 * x0)) + 4.245479570155658))) -kotanchek,184,SRjl,SRjl,5,1,kept,9.0,7.0,egglog-baseline,((exp(((-1.5650412257786985 - x1) - x1) / 2.725807745015068) * ((x0 + 0.2515421021268282) * x1)) * (exp((((x0 / -0.6595888099113719) * x0) - (x1 / 0.8882302129082629)) / 2.725807745015068) * ((((x0 * (x1 - -0.9190110064157119)) * 0.22136372638482898) + (x1 + 1.3549310295276753)) * x1))),((exp((((-1.5650412257786985) - (x1)) - (x1)) / (2.725807745015068))) * ((x1) * ((x0) + (0.2515421021268282)))) * ((exp((((x0) * ((x0) / (-0.6595888099113719))) - ((x1) / (0.8882302129082629))) / (2.725807745015068))) * ((x1) * ((((x0) * ((x1) + (0.9190110064157119))) * (0.22136372638482898)) + ((x1) + (1.3549310295276753))))),saturated,818.132125,41,9,41,9,494,507,105,1,97,((exp((((-1.5650412257786985 - x1) - x1) / 2.725807745015068)) * ((x0 + 0.2515421021268282) * x1)) * (exp(((((x0 / -0.6595888099113719) * x0) - (x1 / 0.8882302129082629)) / 2.725807745015068)) * ((((x0 * (x1 - -0.9190110064157119)) * 0.22136372638482898) + (x1 + 1.3549310295276753)) * x1))),saturated,810.145792,41,9,41,9,488,499,98,1,97,((exp((((-1.5650412257786985 - x1) - x1) / 2.725807745015068)) * (x1 * (x0 + 0.2515421021268282))) * (exp((((x0 * (x0 / -0.6595888099113719)) - (x1 / 0.8882302129082629)) / 2.725807745015068)) * (x1 * (((x0 * (x1 + 0.9190110064157119)) * 0.22136372638482898) + (x1 + 1.3549310295276753))))) -kotanchek,185,SRjl,SRjl,6,1,kept,8.0,7.0,egglog-baseline,((((x1 + (exp((x1 + (1.309561009058676 * 0.2713771555143059)) * (-1.598800435582104 * x1)) - 0.2946268534853358)) / ((((exp(x0) - x0) + 1.0705549811404007) - x0) - x0)) / (((exp(x1) - 0.6303983601001658) + 3.1507918286409375) - (x1 * x1))) * ((x1 / (1.309561009058676 + 0.06685590531260745)) - -0.48872997975581867)),((((x1) + ((exp(((x1) + (0.3553849416107877)) * ((x1) * (-1.598800435582104)))) + (-0.2946268534853358))) / (((((exp(x0)) - (x0)) + (1.0705549811404007)) - (x0)) - (x0))) / (((exp(x1)) + (2.520393468540772)) - ((x1) * (x1)))) * (((x1) / (1.3764169143712834)) + (0.48872997975581867)),saturated,1086.186458,44,10,38,7,271,281,88,2,84,((x1 + (exp(((x1 + 0.3553849416107877) * (-1.598800435582104 * x1))) + -0.2946268534853358)) * ((((x1 / 1.3764169143712834) + 0.48872997975581867) / ((((exp(x0) - x0) + 1.0705549811404007) - x0) - x0)) / ((2.520393468540772 + exp(x1)) - (x1 * x1)))),saturated,1080.917084,38,7,38,7,271,281,88,2,84,((x1 + (exp(((x1 + 0.3553849416107877) * (x1 * -1.598800435582104))) + -0.2946268534853358)) * ((((x1 / 1.3764169143712834) + 0.48872997975581867) / ((((exp(x0) - x0) + 1.0705549811404007) - x0) - x0)) / ((exp(x1) + 2.520393468540772) - (x1 * x1)))) -kotanchek,186,SRjl,SRjl,7,1,kept,8.0,6.0,egglog-baseline,((((x1 / (exp(((x0 - 0.7606913305573865) * x0) + 1.5634875728815227) + exp(x1))) / 1.5634875728815227) * (((((exp(x1) * (x0 - -0.19417161363442786)) - x0) * -0.013296556398828556) - -0.3269889622210912) + 1.4134785703367858)) * (x1 + (x0 + ((x0 + -0.3269889622210912) * x1)))),(x1) * (((x1) + ((x0) + ((x1) * ((x0) - (0.3269889622210912))))) * (((((exp(x1)) * ((x0) + (0.19417161363442786))) - (x0)) + (-130.89611177155723)) * ((-8.504420904556904e-3) / ((exp(x1)) + (exp(((x0) * ((x0) - (0.7606913305573865))) + (1.5634875728815227))))))),saturated,2234.261708,40,8,36,6,263,271,65,2,77,(((x1 / (exp((((x0 + -0.7606913305573865) * x0) + 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1.5660393014789127)) -kotanchek,189,SRjl,SRjl,10,1,kept,5.0,5.0,egglog-baseline,(((((((x0 * (x1 + ((x1 + 1.1969160127334812) * x1))) - 0.7816954182701782) + exp((x0 - x1) - x1)) + x1) + x1) / (0.6953513046017712 - ((exp(x0 * x0) + x0) * -0.30094257465321056))) / (((((x1 - x0) * x1) - x1) * x1) + 9.716267429330689)),(3.322893084012271) * ((((x1) + ((x1) + ((((x0) * ((x1) + ((x1) * ((x1) + (1.1969160127334812))))) - (0.7816954182701782)) + (exp(((x0) - (x1)) - (x1)))))) / (((x0) + (exp((x0) * (x0)))) + (2.3105780410201358))) / (((x1) * (((x1) * ((x1) - (x0))) - (x1))) + (9.716267429330689))),saturated,1077.532292,45,5,45,5,336,350,105,2,87,(((((x1 + ((x0 * (x1 + ((x1 + 1.1969160127334812) * x1))) + -0.7816954182701782)) + exp(((x0 - x1) - x1))) + x1) / (-0.30094257465321056 * ((-2.3105780410201358 - exp((x0 * x0))) - x0))) / (((((x1 - x0) * x1) - x1) * x1) + 9.716267429330689)),saturated,704.338625,45,5,45,5,251,258,69,2,87,(3.322893084012271 * (((x1 + ((x1 + exp(((x0 - x1) - x1))) + 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0.34628722226816544))) -kotanchek,193,SRjl,SRjl,14,1,kept,7.0,5.0,egglog-baseline,(exp((-0.7318040896636137 - (x0 * x0)) + ((x0 + x0) - x1)) * ((((x1 - -0.039858290344846364) / 0.9598793817164541) * x1) - (exp((0.13235515895495698 - x0) + (((x0 + 0.09098361423696229) - x1) * x1)) * ((x1 * (x1 / 0.9039712460608937)) - (0.16031841194029647 / 0.9446831697758643))))),(exp(((-0.7318040896636137) - ((x0) * (x0))) + (((x0) + (x0)) - (x1)))) * (((x1) * (((x1) + (3.9858290344846364e-2)) / (0.9598793817164541))) - ((exp(((0.13235515895495698) - (x0)) + ((x1) * (((x0) + (9.098361423696229e-2)) - (x1))))) * (((x1) * ((x1) / (0.9039712460608937))) - (0.1697060105117927)))),saturated,537.792458,43,8,41,7,104,114,56,2,89,(exp(((-0.7318040896636137 - (x0 * x0)) + ((x0 + x0) - x1))) * ((((x1 + 0.039858290344846364) / 0.9598793817164541) * x1) - (exp(((0.13235515895495698 - x0) + (((x0 + 0.09098361423696229) - x1) * x1))) * ((x1 * (x1 / 0.9039712460608937)) + 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(exp(((1.1883794736981237 - x0) * (x0 + -0.8765025611709572))) * ((x1 + x1) + -8.809036738656134)))) -kotanchek,206,SRjl,SRjl,27,1,kept,9.0,6.0,egglog-baseline,(exp(((x0 + -2.6270807618049434) - ((x0 - 0.7307483550809931) * x0)) - x1) * ((((((((x1 * x1) / 0.5695620761153319) - (((x1 + x0) * x1) * -2.6270807618049434)) * ((x1 - 0.21002997412236857) + ((exp(x1) + -1.2305420553970035) * -0.048636102379870004))) - x0) + 0.5590230865341662) - -0.42694354206571955) + x0)),(exp((((x0) - (2.6270807618049434)) - ((x0) * ((x0) - (0.7307483550809931)))) - (x1))) * ((x0) + (((((x1) * ((2.6270807618049434) * ((x0) + ((x1) * (1.6683216213318324))))) * ((x1) + ((-4.8636102379870004e-2) * ((exp(x1)) + (3.0878544411384157))))) - (x0)) + (0.9859666285998858))),saturated,896.339292,45,9,39,7,151,163,66,2,86,(exp((((x0 + -2.6270807618049434) - ((x0 - 0.7307483550809931) * x0)) - x1)) * ((0.9859666285998858 + (((x1 * ((x1 / 0.5695620761153319) + (2.6270807618049434 * (x1 + x0)))) * ((-0.048636102379870004 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- ((-0.041129877765828333 - 0.6933744860762721) + (log(0.3913793270250966) * -0.04529560337326411)))) / (exp(x1) + (((7.787500628085413 - x1) - x1) - x1))) / ((exp(x0) - ((x0 - 0.5311915415003168) / 0.6723070296996237)) - x0)) - 0.01811268853996139) * x1),(x1) * (((((x1) + ((x0) + (0.4553546802016498))) / ((exp(x1)) + ((((7.787500628085413) - (x1)) - (x1)) - (x1)))) / (((exp(x0)) - (((x0) - (0.5311915415003168)) / (0.6723070296996237))) - (x0))) + (-1.811268853996139e-2)),saturated,536.401000,42,10,31,5,79,89,47,2,66,(((((x1 + (0.4553546802016498 + x0)) / (exp(x1) + (((7.787500628085413 - x1) - x1) - x1))) / ((exp(x0) - ((x0 - 0.5311915415003168) / 0.6723070296996237)) - x0)) - 0.01811268853996139) * x1),saturated,391.262917,31,5,31,5,68,75,38,2,66,(x1 * ((((x1 + (x0 + 0.4553546802016498)) / (exp(x1) + (((7.787500628085413 - x1) - x1) - x1))) / ((exp(x0) - ((x0 + -0.5311915415003168) / 0.6723070296996237)) - x0)) + -0.01811268853996139)) 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8.1086878039942949)/(0.0003863567570971573*x0*x1 - log(x0*x1) - 2584.6971782746911 + I*pi),saturated,357.475625,55,10,41,6,197,208,70,2,86,(321.50462762611204 * (((4.274548766358028 + (-0.00038635675709715734 * (x0 * x1))) + log(abs((x0 * x1)))) * ((((2584.697178274691 + (-0.00038635675709715734 * (x0 * x1))) + log(abs((x0 * x1)))) ** -1.0) * log(abs((8.108687803994295 + log(abs((x0 * x1))))))))),saturated,250.124167,39,6,39,6,136,148,58,1,81,(((321.50462762611204 * ((((0.0003863567570971573 * x0) * x1) - log((x0 * x1))) - 4.274548766358028)) * log((log((x0 * x1)) + 8.108687803994295))) / (((((0.0003863567570971573 * x0) * x1) - log((x0 * x1))) - 2584.697178274691) + (I * pi))) +pagie,1,Bingo,Bingo,2,1,kept,4.0,4.0,0.04547093390683249 + (0.17516554602688977)*(plog((34.093055726490284)*((x0)*(x0)) + x1 + (-428.9738000218307)*(((x0)*(x0))*((x1)*(x1))))),0.17516554602688977*log(-428.9738000218307*x0**2*x1**2 + 34.093055726490284*x0**2 + x1) + 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x1)))))) + (755.3723998652232 * ((log(abs((x0 * ((x1 ** -1.0) + (33219378496.322727 * x1))))) + 0.6931471805599453) ** -1.0))))))),saturated,413.185334,34,10,28,7,92,102,49,2,69,(0.5240322255066139 + (-0.45351118068033663 * log(((-30.011646777931055 + log((((-3.010291117007793e-11 / x1) - x1) * x0))) + (755.3723998652232 / log((-66438756992.645454 * (x0 * (x1 + (3.010291117007793e-11 / x1)))))))))) +pagie,4,Bingo,Bingo,5,1,kept,3.0,3.0,-0.7617093798419142 + (0.3424256684358176)*(plog((x1)*((249.92555522398015)*(x0) + ((x1)^(-2))*(plog(x0)) - (x0 + x1)))),0.3424256684358176*log((x1**2*(248.92555522398015*x0 - x1) + log(x0))/x1) - 0.7617093798419142,saturated,238.088541,23,3,23,3,70,77,38,1,49,(-0.7617093798419142 + (0.3424256684358176 * log(abs((x1 * (((249.92555522398015 * x0) + ((x1 ** -2.0) * log(abs(x0)))) - (x0 + x1))))))),saturated,268.909167,19,3,19,3,61,71,40,1,44,((0.3424256684358176 * log(((((x1 ** 2.0) * ((248.92555522398015 * x0) - x1)) + log(x0)) / x1))) - 0.7617093798419142) +pagie,6,Bingo,Bingo,7,1,kept,6.0,4.0,(0.33963694568414915)*(plog((-35.167844692926785)*(((-1)*(((2)^(-1))*((1.1727867299483856)^(-1))))*((x0)*((58.20319882282552 + x0)*(x1))) + plog(x1)))) - (1.1727867299483856),0.33963694568414915*log(14.993282152192549*x0*x1*(x0 + 58.20319882282552) - 35.167844692926785*log(x1)) - 1.1727867299483856,saturated,289.170917,29,7,19,4,98,104,36,2,43,(0.33963694568414915 * (0.10707222600206379 + log(abs(((-0.42633497398286985 * (x0 * ((58.20319882282552 + x0) * x1))) + log(abs(x1))))))),saturated,276.775708,19,5,17,4,62,70,35,2,41,(0.33963694568414915 * (-0.7454576917979261 + log(((((x0 + 58.20319882282552) * x1) * x0) + (-2.3455734598967712 * log(x1)))))) +pagie,7,Bingo,Bingo,8,1,kept,5.0,5.0,(0.3219453819768659)*(4.881341193040894 + (0.006998797255225593)*(x0) + (-3.3010592991000216)*(exp((-0.7560873364652252)*((x0)*(x0)))) + plog(x1)),0.002253230455712244*x0 + 0.3219453819768659*log(x1) + 1.571525254952961 - 1.0627607969770417*exp(-0.7560873364652252*x0**2),saturated,269.242458,20,5,20,5,104,114,50,2,49,(0.3219453819768659 * (((0.006998797255225593 * (x0 + 697.4542932210649)) + (-3.3010592991000216 * exp((-0.7560873364652252 * (x0 * x0))))) + log(abs(x1)))),saturated,315.563708,19,5,19,5,762,790,203,1,52,((((0.002253230455712244 * x0) + (0.3219453819768659 * log(x1))) + 1.571525254952961) - (1.0627607969770416 * exp((-0.7560873364652252 * (x0 ** 2.0))))) +pagie,5,Bingo,Bingo,6,1,kept,8.0,5.0,0.2033733319566922 + (0.0885895005060784)*(plog(((520439.72713022487)*(((x0)*(x0))*((28890.10432966032 + x0)^(-1))) + (-165.43872587343168)*(((x0)*(x0))*((x1)*(x1))) - (x1))*((520439.72713022487)*(((x0)*(x0))*((28890.10432966032 + x0)^(-1))) + (-165.43872587343168)*(((x0)*(x0))*((x1)*(x1))) - (x1)))),0.0885895005060784*log((-x0**2 + x1*(x0 + 28890.10432966032)*(0.00031788258514714704*x0**2*x1 + 1.9214520872842191e-6))**2/(3.461392830531733e-5*x0 + 1)**2) + 0.71562882269299686,saturated,337.813709,53,8,45,8,158,169,63,2,107,(0.2033733319566922 + (0.0885895005060784 * log(abs(((((x0 * x0) * ((520439.72713022487 * ((28890.10432966032 + x0) ** -1.0)) + (-165.43872587343168 * (x1 * x1)))) - x1) * (((x0 * x0) * ((520439.72713022487 * ((28890.10432966032 + x0) ** -1.0)) + (-165.43872587343168 * (x1 * x1)))) - x1)))))),saturated,798.467417,36,8,34,7,154,167,66,2,95,((0.0885895005060784 * log((((((x1 * (x0 + 28890.10432966032)) * (((0.00031788258514714706 * (x0 ** 2.0)) * x1) + 1.921452087284219e-06)) - (x0 ** 2.0)) ** 2.0) / (((3.461392830531733e-05 * x0) + 1.0) ** 2.0)))) + 0.7156288226929969) +pagie,8,Bingo,Bingo,9,1,kept,7.0,5.0,(-0.0016845463969705932)*((plog(x1 + (-5504.7494866201905)*((x0)*(x1))))*(35.98329321843688 + (-0.17812022427202742)*(35.98329321843688 + x0) + (-12.262360262937122)*(plog(x1 + (-5504.7494866201905)*((x0)*(x1)))))),(0.00030005178202503779*x0 + 0.020656514799286105*log(x1*(1 - 5504.7494866201905*x0)) - 0.049818675688932783)*log(x1*(1 - 5504.7494866201905*x0)),saturated,290.009917,31,7,27,5,65,71,31,2,59,((0.020656514799286103 * (log(abs((x1 + (-5504.7494866201905 * (x0 * x1))))) + (0.014525769953961822 * (-166.03359377740895 + x0)))) * log(abs((x1 + (-5504.7494866201905 * (x0 * x1)))))),saturated,319.691417,25,7,23,6,94,103,45,2,58,((0.020656514799286103 * ((6.2016007537634605 + log((x1 * (0.00018166130946205522 - x0)))) + (0.014525769953961822 * x0))) * log((x1 * (-5504.7494866201905 * (x0 + -0.00018166130946205522))))) +pagie,9,Bingo,Bingo,10,1,kept,5.0,4.0,(-1647.7560776017172)*((plog(x1 + (-5504.7201863492755)*((x0)*(x1))))*(3.021827100299453e-05 + (-1.2535194814297265e-05)*(plog(x1 + (-5504.7201863492755)*((x0)*(x1)))))),(0.020654943439179847*log(x1*(1 - 5504.7201863492755*x0)) - 0.049792339699799975)*log(x1*(1 - 5504.7201863492755*x0)),saturated,335.017042,25,5,23,4,56,61,26,2,49,((0.020654943439179847 * (log(abs((x1 + (-5504.7201863492755 * (x0 * x1))))) + -2.410674221714407)) * log(abs((x1 + (-5504.7201863492755 * (x0 * x1)))))),saturated,396.142750,21,6,19,5,67,74,34,2,48,((0.020654943439179847 * (6.202686997149495 + log((x1 * (0.0001816622764005011 - x0))))) * log((x1 * (-5504.7201863492755 * (x0 + -0.0001816622764005011))))) +pagie,10,Bingo,Bingo,11,1,kept,5.0,5.0,1.1892515725526536 + (-1.529035305818532 + exp(plog((x0)*(x1))))*(0.2778146070096167 + (6.532680622052586e-05)*(x0) + (-0.07902303898937542)*(plog((x0)*(x1)))),(x0*x1 - 1.529035305818532)*(6.532680622052586e-5*x0 - 0.07902303898937542*log(x0*x1) + 0.2778146070096167) + 1.1892515725526536,saturated,356.751542,24,5,22,5,162,175,68,2,52,(1.1892515725526536 + ((-1.529035305818532 + abs((x0 * x1))) * ((0.2778146070096167 + (6.532680622052586e-05 * x0)) + (-0.07902303898937542 * log(abs((x0 * x1))))))),saturated,377.662792,20,5,20,5,158,171,65,2,50,((((x0 * x1) + -1.529035305818532) * (((6.532680622052586e-05 * x0) + (-0.07902303898937542 * log((x0 * x1)))) + 0.2778146070096167)) + 1.1892515725526536) +pagie,11,Bingo,Bingo,12,1,kept,4.0,4.0,(0.32709300308221473)*(plog((2.8938067344221365)*(x0) + (33.37981491587227)*((x0)*(x1)) - (exp(0.32709300308221473)))),0.32709300308221473*log(33.37981491587227*x0*x1 + 2.8938067344221365*x0 - 1.3869304599899063),saturated,407.256041,16,4,13,4,84,96,48,2,35,(0.32709300308221473 * log(abs(((x0 * (33.37981491587227 * (x1 + 0.0866933127614832))) - 1.3869304599899064)))),saturated,344.217834,14,4,12,4,70,81,42,2,34,(0.32709300308221473 * log(((x0 * (33.37981491587227 * (x1 + 0.0866933127614832))) - 1.3869304599899064))) +pagie,12,Bingo,Bingo,13,1,kept,5.0,5.0,0.46055102457050884 + (-11903.1935774518 + ((x0)^(-1))*(exp(x1)))*((-9960.615166624408 + (-8736.856642285593)*((x1)^(-2)) + ((x0)^(-1))*(exp(x1)))^(-1)) + (0.3353899762817782)*(plog(x0)),(11903.1935774518 - exp(x1)/x0)/(9960.615166624408 + 8736.856642285593/x1**2 - exp(x1)/x0) + 0.3353899762817782*log(x0) + 0.46055102457050884,saturated,306.501291,33,5,33,5,83,93,47,2,84,((0.46055102457050884 + ((-11903.1935774518 + ((x0 ** -1.0) * exp(x1))) * (((-8736.856642285593 * ((x1 ** -2.0) + 1.1400685137050246)) + ((x0 ** -1.0) * exp(x1))) ** -1.0))) + (0.3353899762817782 * log(abs(x0)))),saturated,362.999667,26,5,26,5,69,78,41,1,62,((((11903.1935774518 - (exp(x1) / x0)) / ((9960.615166624408 + (8736.856642285593 / (x1 ** 2.0))) - (exp(x1) / x0))) + (0.3353899762817782 * log(x0))) + 0.46055102457050884) +pagie,2,Bingo,Bingo,3,1,kept,5.0,5.0,((plog(1 - ((-4.620613175155346)*(-4.620613175155346))))^(-1))*(plog(1 + ((-0.7045923450774843)^(-1))*((x1)*(x0 + ((-4.620613175155346)*(-4.620613175155346) - (-0.7045923450774843))*(x0) + plog(-0.5941007048060543 + x0))) - (x0))),log(-x0 - 1.419260380823509*x1*(23.05465845949665*x0 + log(x0 - 0.5941007048060543)) + 1)/(3.013084160749133 + I*pi),saturated,304.649417,37,9,23,5,82,90,41,2,53,(0.331885850726245 * log(abs(((1.0 + (-1.4192603808235096 * (x1 * ((x0 + (22.05465845949665 * x0)) + log(abs((-0.5941007048060543 + x0))))))) - x0)))),saturated,3295.653708,25,6,23,5,66,75,38,2,54,(log(((1.0 - x0) + (-1.419260380823509 * (((23.05465845949665 * x0) + log((x0 + -0.5941007048060543))) * x1)))) / (3.013084160749133 + (I * pi))) +pagie,14,Bingo,Bingo,15,1,kept,13.0,6.0,-0.3615909827079473 - ((-0.3615909827079473 + (-0.15940944833036993 + (0.7495558385988832 + (-0.052282035688047096)*((x0)*(x0)))*(0.7495558385988832 + (-0.052282035688047096)*((x0)*(x0))))*(-0.15940944833036993 + (0.7495558385988832 + (-0.052282035688047096)*((x0)*(x0)))*(0.7495558385988832 + (-0.052282035688047096)*((x0)*(x0)))))*(plog((-242.5021661422168)*(x1)))),-(0.3156573931905898*((0.069750688335342645*x0**2 - 1)**2 - 0.28373053437106359)**2 - 0.3615909827079473)*(log(-x1) + 5.491010642882867) - 0.3615909827079473,saturated,874.506625,45,13,39,10,113,125,57,2,98,(-0.3615909827079473 - ((-0.3615909827079473 + (7.471537092712174e-06 * (((((x0 * x0) + -14.336776078714344) * ((x0 * x0) + -14.336776078714344)) + -58.318867312320975) * ((((x0 * x0) + -14.336776078714344) * ((x0 * x0) + -14.336776078714344)) + -58.318867312320975)))) * log((242.5021661422168 * abs(x1))))),saturated,321.240959,28,9,26,8,113,129,65,2,83,(((-5.491010642882867 - log((-1.0 * x1))) * ((0.3156573931905898 * (((((0.06975068833534265 * (x0 ** 2.0)) - 1.0) ** 2.0) - 0.2837305343710636) ** 2.0)) - 0.3615909827079473)) - 0.3615909827079473) +pagie,15,Bingo,Bingo,16,1,kept,8.0,7.0,(-0.0016724665952508537)*(292.42415431458545 + x1 + ((-1)*((-314.9892428270721)^(-1)))*((((x0)^(-1))*((x1)^(-1)))*((39.54832653926522 + x1)*(plog((-314.9892428270721)*((x0)*(x1)))))) + (-240.49898207944213)*(plog((-314.9892428270721)*((x0)*((x1)*((plog((-314.9892428270721)*((x0)*(x1))))^(-1))))))),(x0*x1*(-0.0016724665952508537*x1 + 0.40222651371970066*log(-x0*x1/(log(-x0*x1) + 5.75253848848719)) + 1.8247538715269739) - 5.3095990842107314e-6*(x1 + 39.54832653926522)*(log(-x0*x1) + 5.75253848848719))/(x0*x1),saturated,683.382375,51,9,45,7,533,547,119,2,105,(-0.0016724665952508537 * (((-240.49898207944213 * (4.536632492602386 + log(abs((x0 * (x1 * (log(abs((-314.9892428270721 * (x0 * x1)))) ** -1.0))))))) + x1) + (0.0031747115902272137 * (((x0 ** -1.0) * (x1 ** -1.0)) * ((39.54832653926522 + x1) * log(abs((-314.9892428270721 * (x0 * x1))))))))),saturated,373.990542,46,10,46,10,194,204,66,2,108,((((log(((-1.0 * x0) * x1)) + 5.75253848848719) * (x1 + 39.54832653926522)) + (314.9892428270721 * ((x0 * x1) * ((x1 + (-240.49898207944213 * log((((-1.0 * x0) * x1) / (log(((-1.0 * x0) * x1)) + 5.75253848848719))))) + -1091.0554965393965)))) * (-5.309599084210731e-06 / (x0 * x1))) +pagie,17,Bingo,Bingo,18,1,kept,5.0,4.0,(7.051978434353006)*(0.1577598589609299 + (-0.001006011746264326)*((-8.107154770143312 + x0)*((6.507788542716649 + x0 + plog(x0))*(plog((x0)*(x1)))))),-0.007094373139361835*(x0 - 8.107154770143312)*(x0 + log(x0) + 6.507788542716649)*log(x0*x1) + 1.112519123199049,saturated,299.146750,23,5,21,4,73,79,34,2,46,(-0.007094373139361835 * (((-8.107154770143312 + x0) * (((6.507788542716649 + x0) + log(abs(x0))) * log(abs((x0 * x1))))) + -156.8171142600944)),saturated,320.369417,19,4,19,4,115,122,41,2,44,((((-0.007094373139361835 * (x0 + -8.107154770143312)) * ((x0 + log(x0)) + 6.507788542716649)) * log((x0 * x1))) + 1.112519123199049) +pagie,20,Bingo,Bingo,21,1,kept,7.0,3.0,plog(plog(5.852257156264611 + ((exp(plog((0.0004240447616209535)*((x0)*(x1)))))*(exp(plog((0.0004240447616209535)*((x0)*(x1))))))*((7480.0610581772835 + plog((0.0004240447616209535)*((x0)*(x1))))*(7480.0610581772835 + plog((0.0004240447616209535)*((x0)*(x1))))))),log(log(10.039948113913963*x0**2*x1**2*(0.00013382768590600596*log(x0*x1) + 1)**2 + 5.852257156264611)),saturated,880.901500,43,7,33,4,551,558,97,2,61,log(abs(log(abs((5.852257156264611 + ((1.7981395985817125e-07 * (abs((x0 * x1)) * abs((x0 * x1)))) * ((7472.29538663884 + log(abs((x0 * x1)))) * (7472.29538663884 + log(abs((x0 * x1))))))))))),saturated,370.895000,24,4,24,4,128,138,53,1,63,log(log(((((10.039948113913963 * (x0 ** 2.0)) * (x1 ** 2.0)) * (((0.00013382768590600595 * log((x0 * x1))) + 1.0) ** 2.0)) + 5.852257156264611))) +pagie,19,Bingo,Bingo,20,1,kept,6.0,5.0,(-0.00010507476032088567)*((-819.22982975795 + ((x0)^(-1))*(1.9180501896236644 - (x1)))*(plog((-61.64925975453745)*((-9.235869766393078)*((x0)*(x1)) + ((-1)*(((-9.235869766393078)*(-9.235869766393078))*((-9.235869766393078)*(-9.235869766393078))))*((((x0)*(x0))*((x0)*(x0)))*(((x1)*(x1))*((x1)*(x1)))))))),0.00010507476032088567*(819.22982975795*x0 + x1 - 1.9180501896236644)*log(x0*x1*(448579.1335037871*x0**3*x1**3 + 569.384534287446))/x0,saturated,1133.773916,47,10,33,5,227,236,67,2,73,(-0.00010507476032088567 * ((-819.22982975795 + ((x0 ** -1.0) * (1.9180501896236644 - x1))) * log((448579.133503787 * abs((x0 * (x1 * ((((x0 * x0) * x0) * ((x1 * x1) * x1)) + 0.0012693067772458905)))))))),saturated,304.077750,28,5,28,5,209,222,75,1,70,(((0.00010507476032088567 * (((819.22982975795 * x0) + x1) - 1.9180501896236644)) * log(((x0 * x1) * (((448579.1335037871 * (x0 ** 3.0)) * (x1 ** 3.0)) + 569.384534287446)))) / x0) +pagie,22,Bingo,Bingo,23,1,kept,5.0,4.0,-5.64393372152411 + (0.002708862303985314)*((x1)^(-1)) + (-0.06435725235582418)*((-2311.5964730737646 - (x0))*((plog((3566206920.7839065)*(((x0)^(-1))*((x1)^(-1)))))^(-1))),0.06435725235582418*x0/log(3566206920.7839065/(x0*x1)) - 5.64393372152411 + 148.7679975624414/log(3566206920.7839065/(x0*x1)) + 0.002708862303985314/x1,saturated,271.417666,27,5,27,5,219,234,87,1,76,((-5.64393372152411 + (0.002708862303985314 * (x1 ** -1.0))) + (-0.06435725235582418 * ((-2311.5964730737646 - x0) * (log(abs((3566206920.7839065 * ((x0 ** -1.0) * (x1 ** -1.0))))) ** -1.0)))),saturated,301.426708,25,6,25,6,199,210,66,2,61,(((0.002708862303985314 / x1) + (((0.06435725235582418 * x0) / log((3566206920.7839065 / (x0 * x1)))) + -5.64393372152411)) + (148.7679975624414 / log((3566206920.7839065 / (x0 * x1))))) +pagie,21,Bingo,Bingo,22,1,kept,4.0,4.0,(0.3407158075111429)*(plog(0.39963452583999787 + (0.07297318016992407)*((x0)*((x1)*(401.296952200405 + x0 + (2)*(x1) - (exp(x0) + exp(x1)))) - (x0)))),0.3407158075111429*log(0.07297318016992407*x0*x1*(x0 + 2*x1 - exp(x0) - exp(x1) + 401.296952200405) - 0.07297318016992407*x0 + 0.39963452583999787),saturated,262.818500,27,5,27,5,112,122,54,1,59,(0.3407158075111429 * log(abs((0.39963452583999787 + (0.07297318016992407 * ((x0 * (x1 * (((401.296952200405 + x0) + (2.0 * x1)) - (exp(x0) + exp(x1))))) - x0)))))),saturated,570.987750,28,6,26,5,73,81,40,2,58,(0.3407158075111429 * log((0.07297318016992407 * ((5.47645758221604 - x0) + ((((((x0 + (2.0 * x1)) - exp(x0)) - exp(x1)) + 401.296952200405) * x1) * x0))))) +pagie,13,Bingo,Bingo,14,1,kept,6.0,6.0,-3.6628323446084137 + (-140960.10336012763)*(((-1951.8497630927013 + x0)^(-1))*((plog(((x0)^(-1))*(-38271.243311540704 + (-3434828.851252485)*((x1)^(-1)) + (-66329.49759041717)*(x1))))^(-1))),-3.6628323446084137 - 140960.10336012763/((x0 - 1951.8497630927013)*log(-(66329.49759041717*x1 + 38271.243311540704 + 3434828.851252485/x1)/x0)),saturated,318.583250,29,6,29,6,274,293,107,1,83,(-3.6628323446084137 + (-140960.10336012763 * (((-1951.8497630927013 + x0) ** -1.0) * (log(abs(((x0 ** -1.0) * ((-38271.243311540704 + (-3434828.851252485 * (x1 ** -1.0))) + (-66329.49759041717 * x1))))) ** -1.0)))),saturated,3856.909750,22,7,20,6,87,101,56,2,54,(-3.6628323446084137 - (140960.10336012763 / ((x0 - 1951.8497630927013) * log(((((-66329.49759041717 * x1) - 38271.243311540704) - (3434828.851252485 / x1)) / x0))))) +pagie,23,Bingo,Bingo,24,1,kept,5.0,4.0,(plog(0.8889056731853394))*(-25.375926540572554 + (-2.4339755472913582)*(plog((x0)*(x1))) + plog((-4625426.158330705)*((plog((plog(0.8889056731853394 + (0.8889056731853394)*(0.8889056731853394)))*((x1)^(-1))))^(-1)))),0.28663506996925448*log(x0*x1) - 0.1177641535011456*log(-4625426.158330705/log(0.5182334989833757/x1)) + 2.9883745083577819,saturated,307.120791,33,7,23,4,71,79,41,2,56,(-0.11776415350114562 * ((-2.4339755472913582 * (4.120356708064521 + log(abs((x0 * x1))))) + log(abs((log(abs((0.5182334989833758 * (x1 ** -1.0)))) ** -1.0))))),saturated,324.951500,18,5,18,5,121,132,54,2,46,(((0.2866350699692545 * log((x0 * x1))) + (-0.1177641535011456 * log((-4625426.158330705 / (-0.65732936805086 - log(x1)))))) + 2.988374508357782) +pagie,24,Bingo,Bingo,25,1,kept,4.0,3.0,exp((-2.377396411352944)*(((-10.503285479940024 - (plog((0.14985143797609368)*(x0))))^(-1))*(plog((1.4308910409656768)*((x0)*(x1)))))),exp(2.377396411352944*(log(x0*x1) + 0.3582973557925481)/(log(x0) + 8.6051745907779115)),saturated,311.917834,20,4,18,3,90,97,40,2,41,exp((-2.377396411352944 * (((-8.605174590777912 - log(abs(x0))) ** -1.0) * log((1.4308910409656768 * abs((x0 * x1))))))),saturated,254.792625,14,3,14,3,42,47,24,1,32,exp(((2.377396411352944 * (log((x0 * x1)) + 0.3582973557925481)) / (log(x0) + 8.605174590777912))) +pagie,25,Bingo,Bingo,26,1,kept,3.0,2.0,-1668.413725381717 + (0.35562720568200606)*(4695.7060144269335 + plog(x1) - (exp(1 - ((x0)*(x0))))),-0.35562720568200606*exp(1 - x0**2) + 0.35562720568200606*log(x1) + 1.5070832331229962,saturated,261.567709,16,4,16,4,46,53,30,1,39,(-1668.413725381717 + (0.35562720568200606 * ((4695.7060144269335 + log(abs(x1))) - exp((1.0 - (x0 * x0)))))),saturated,320.907541,15,4,13,3,41,48,28,2,35,((-0.35562720568200606 * (exp((1.0 - (x0 ** 2.0))) - log(x1))) + 1.5070832331229962) +pagie,18,Bingo,Bingo,19,1,kept,6.0,5.0,3.5993169689720506 + (-4.508737153066167e-07)*((521.6683948517077 + (23.730684923841224)*(plog((x0)*(x1))) - (x0))*(10602.124752119917 + (-1792.3707483707349)*(plog((x0)*(x1))))),4.508737153066167e-7*(1792.3707483707349*log(x0*x1) - 10602.124752119917)*(-x0 + 23.730684923841224*log(x0*x1) + 521.6683948517077) + 3.5993169689720506,saturated,324.754083,25,6,23,5,79,88,42,2,53,(3.5993169689720506 + ((0.0008081328585248142 * (log(abs((x0 * x1))) + -5.9151404706628075)) * ((521.6683948517077 + (23.730684923841224 * log(abs((x0 * x1))))) - x0))),saturated,3140.515125,25,7,21,5,63,71,35,2,51,(((0.0008081328585248142 * (log((x0 * x1)) + -5.9151404706628075)) * ((521.6683948517077 - x0) + (23.730684923841224 * log((x0 * x1))))) + 3.5993169689720506) +pagie,27,Bingo,Bingo,28,1,kept,7.0,7.0,17.519637627145645 + (-3.529837319764648)*(((plog(-3.3162197817782353 + (76.20364329715497)*((plog((900226.4764680645)*((x0)*(x1))))^(-1))))^(-1))*(plog((-3.139766204630333)*(((x0)^(-1))*(((x1)^(-1))*(plog((900226.4764680645)*((x0)*(x1))))))))),17.519637627145645 - 3.529837319764648*log(-3.139766204630333*log(x0*x1)/(x0*x1) - 43.04745575625259/(x0*x1))/log(-3.3162197817782353*log(x0*x1)/(log(x0*x1) + 13.71040165117035) + 30.736938125418861/(log(x0*x1) + 13.71040165117035)),saturated,300.886875,41,7,41,7,290,305,100,1,102,(17.519637627145645 + (-3.529837319764648 * ((log(abs((-3.3162197817782353 + (76.20364329715497 * (log(abs((900226.4764680645 * (x0 * x1)))) ** -1.0))))) ** -1.0) * log(abs((-3.139766204630333 * ((x0 ** -1.0) * ((x1 ** -1.0) * log(abs((900226.4764680645 * (x0 * x1)))))))))))),saturated,318.420916,45,8,45,8,141,156,75,2,97,(17.519637627145645 - ((3.529837319764648 * log(((log((x0 * x1)) * (-3.139766204630333 / (x0 * x1))) - (43.04745575625259 / (x0 * x1))))) / log((((-3.3162197817782353 * log((x0 * x1))) / (log((x0 * x1)) + 13.71040165117035)) + (30.73693812541886 / (log((x0 * x1)) + 13.71040165117035)))))) +pagie,28,Bingo,Bingo,29,1,kept,2.0,2.0,(0.3382730532836002)*(plog((29.00794352451898)*((x0)*(x1)) + plog((x0)*((x1)^(-1))))),0.3382730532836002*log(29.00794352451898*x0*x1 + log(x0/x1)),saturated,258.305333,17,2,17,2,55,60,28,1,36,(0.3382730532836002 * log(abs(((29.00794352451898 * (x0 * x1)) + log(abs((x0 * (x1 ** 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((exp((1.48145233407848 * exp((-0.658 / (x1 ** 2.0))))) * 0.006968016239569429) * (log(abs((-0.155 - exp((log(abs(log(abs((0.164047378003738 * (5.467932562625664 - abs((-0.003 - (0.276544027789322 / x1))))))))) - (x0 ** 2.0)))))) ** 4.0))))) ** 2.0)) +pagie,59,EPLEX,EPLEX,30,1,kept,13.0,6.0,exp(plog(plog(plog(((exp(plog((plog((x0/(-1.206/x1)))-(0.02*(-0.823)))))+((-1.052^2)^2))/(exp(plog(plog(plog(plog(plog((-0.892/(-0.928/(exp(plog(plog(plog((-0.621/(-0.463/(x1/(-0.848))))))))/(x1/(plog(plog((-0.985/(x0/(-0.606)))))/(x0/0.057))))))))))))/(x1/(-1.265/(x0/0.06))))))))),exp(plog(plog(plog(-13.1752305665349*x0*x1*(exp(plog(plog(-0.829187396351575*x0*x1) + 0.01646)) + 1.224793743616)*exp(-plog(plog(plog(plog(plog(0.0547887931034483*plog(plog(0.59691/x0))*exp(plog(plog(plog(-1.58166591955662*x1))))/(x0*x1))))))))))),saturated,302.884041,83,15,67,13,138,153,90,2,140,abs(log(abs(log(abs(((abs((log(abs((x0 / (-1.206 / x1)))) + 0.01646)) + 1.2247937436160004) / (abs(log(abs(log(abs(log(abs(log(abs((-0.892 / (-0.928 / (abs(log(abs(log(abs((-0.621 / (-0.463 / (x1 / -0.848)))))))) / (x1 / (log(abs(log(abs((-0.985 / (x0 / -0.606)))))) / (x0 / 0.057))))))))))))))) / (x1 / (-1.265 / (x0 / 0.06)))))))))),saturated,514.921375,65,8,57,7,673,687,153,2,100,abs(log(abs(log(abs(((((-13.1752305665349 * x0) * x1) * (abs((-0.17084909830499423 + log(abs((x0 * x1))))) + 1.224793743616)) * exp((-1.0 * log(abs(log(abs(log(abs(log(abs(log(abs(((abs(log(abs((0.4584786710374761 + log(abs(x1)))))) * log(abs(log(abs((0.59691 / x0)))))) * (0.0547887931034483 / (x0 * x1))))))))))))))))))))) +pagie,57,EPLEX,EPLEX,28,1,kept,7.0,6.0,exp((exp(plog((exp(plog(exp(plog(exp(plog(exp(plog(exp(exp(plog((exp((-0.231*((plog(exp(plog(x1)))-plog(x0))^2)))*exp((-0.176-((x1*exp(plog(-0.292)))^2)))))))))))))))*(0.496^2))))*plog((exp(plog(x1))*(exp(plog((-0.994*(-1.255*x0))))-((-0.386*x0)^2)))))),exp(plog((-0.148996*x0**2 + exp(plog(1.24747*x0)))*exp(plog(x1)))*exp(plog(0.246016*exp(plog(exp(plog(exp(plog(exp(plog(exp(exp(plog(0.838617983337074*exp(-x1**2*exp(2*plog(-0.292)) - 0.231*(plog(x0) - plog(exp(plog(x1))))**2))))))))))))))),saturated,359.385000,73,7,48,6,120,129,63,2,99,exp(((abs(abs(abs(abs(abs(exp(abs((exp((-0.231 * ((log(abs(abs(x1))) - log(abs(x0))) ** 2.0))) * exp((-0.176 - ((x1 * 0.292) ** 2.0))))))))))) * 0.24601599999999998) * log(abs((abs(x1) * (abs((1.2474699999999999 * x0)) - ((-0.386 * x0) ** 2.0))))))),saturated,1709.296000,72,8,47,6,209,223,92,2,98,exp((log(abs((((-0.148996 * (x0 ** 2.0)) + abs((1.24747 * x0))) * abs(x1)))) * (0.246016 * abs(abs(abs(abs(abs(exp(abs((0.838617983337074 * exp((-0.231 * (((log(abs(x0)) - log(abs(abs(x1)))) ** 2.0) + (0.3691082251082251 * (x1 ** 2.0)))))))))))))))) +pagie,90,GOMEA,GOMEA,1,1,kept,3.0,3.0,1.950385-1.107514*((exp(((x1-x1)-(x1*x1)))+exp((exp(-5.436000)-(x0*x0))))),1.950385 - 1.107514*exp(-x1**2) - 1.11234982803047*exp(-x0**2),saturated,303.810125,20,3,17,4,46,53,30,2,41,(1.107514 * ((1.7610477158753748 - exp((-1.0 * (x1 * x1)))) - exp((0.004356875966022165 - (x0 * x0))))),saturated,268.752500,19,5,19,5,181,198,82,1,56,((1.950385 - (1.107514 * exp((-1.0 * (x1 ** 2.0))))) - (1.11234982803047 * exp((-1.0 * (x0 ** 2.0))))) +pagie,91,GOMEA,GOMEA,2,1,kept,4.0,4.0,1.993812-1.064938*((exp(((-9.935000+9.358000)*(x0*x0)))+exp((exp(-11.329000)-(x1*x1))))),1.993812 - 1.06495079984612*exp(-x1**2) - 1.064938*exp(-0.577*x0**2),saturated,294.647250,20,5,17,4,42,48,27,2,41,(1.064938 * ((1.872232937504343 - exp((-0.577 * (x0 * x0)))) - exp((1.2019262341499391e-05 - (x1 * x1))))),saturated,286.127084,19,5,19,5,177,194,82,1,56,((1.993812 - (1.06495079984612 * exp((-1.0 * (x1 ** 2.0))))) - (1.064938 * exp((-0.577 * (x0 ** 2.0))))) +pagie,92,GOMEA,GOMEA,3,1,kept,4.0,3.0,1.950381-42823.103036*((exp(((11.065000-21.622000)-(x0*x0)))+exp(((-3.089000-7.475000)-(x1*x1))))),1.950381 - 1.10609193829701*exp(-x1**2) - 1.11386174445997*exp(-x0**2),saturated,312.266959,21,6,17,4,36,42,26,2,41,(42823.103036 * ((4.554506473667678e-05 - exp((-10.557 - (x0 * x0)))) - exp((-10.564 - (x1 * x1))))),saturated,277.749833,19,5,19,5,174,190,79,1,56,((1.950381 - (1.10609193829701 * exp((-1.0 * (x1 ** 2.0))))) - (1.11386174445997 * exp((-1.0 * (x0 ** 2.0))))) +pagie,93,GOMEA,GOMEA,4,1,kept,3.0,3.0,1.950390-1.109745*((exp(((x0-x0)-(x1*x1)))+exp((exp(-8.548000)-(x0*x0))))),1.95039 - 1.109745*exp(-x1**2) - 1.1099602365778*exp(-x0**2),saturated,309.265166,20,3,17,4,46,53,30,2,41,(1.109745 * ((1.7575118608328941 - exp((-1.0 * (x1 * x1)))) - exp((0.00019393257710559848 - (x0 * x0))))),saturated,279.002834,19,5,19,5,174,190,79,1,56,((1.95039 - (1.109745 * exp((-1.0 * (x1 ** 2.0))))) - (1.1099602365778 * exp((-1.0 * (x0 ** 2.0))))) +pagie,94,GOMEA,GOMEA,5,1,kept,3.0,3.0,1.950365-1.102849*((exp(((x1-x1)-(x1*x1)))+exp(((4.752000-4.739000)-(x0*x0))))),1.950365 - 1.102849*exp(-x1**2) - 1.1172796328829*exp(-x0**2),saturated,299.192208,21,4,17,4,46,53,30,2,41,(1.102849 * ((1.7684787309958117 - exp((-1.0 * (x1 * x1)))) - exp((0.0129999999999999 - (x0 * x0))))),saturated,299.725958,19,5,19,5,174,190,79,1,56,((1.950365 - (1.102849 * exp((-1.0 * (x1 ** 2.0))))) - (1.1172796328829 * exp((-1.0 * (x0 ** 2.0))))) +pagie,95,GOMEA,GOMEA,6,1,kept,4.0,4.0,1.974644-1.060379*((exp((exp(-3.066000)-(x0*x0)))+exp(((-0.726000*x1)*x1)))),1.974644 - 1.060379*exp(-0.726*x1**2) - 1.11097010569563*exp(-x0**2),saturated,328.659209,18,4,17,4,42,48,27,2,41,(1.060379 * ((1.8622058716741845 - exp((0.0466072113417544 - (x0 * x0)))) - exp(((-0.726 * x1) * x1)))),saturated,286.907417,19,5,19,5,184,202,85,1,56,((1.974644 - (1.060379 * exp((-0.726 * (x1 ** 2.0))))) - (1.11097010569563 * exp((-1.0 * (x0 ** 2.0))))) +pagie,96,GOMEA,GOMEA,7,1,kept,4.0,3.0,1.918745-23802.792114*((exp((-10.432000-(x0*x0)))+exp(((2.700000-12.507000)-(x1*x1))))),1.918745 - 1.31069583571551*exp(-x1**2) - 0.701564925378973*exp(-x0**2),saturated,317.230666,19,5,17,4,36,42,26,2,41,(23802.792114 * ((8.061008098589655e-05 - exp((-10.432 - (x0 * x0)))) - exp((-9.806999999999999 - (x1 * x1))))),saturated,312.946291,19,5,19,5,174,190,79,1,56,((1.918745 - (1.31069583571551 * exp((-1.0 * (x1 ** 2.0))))) - (0.701564925378973 * exp((-1.0 * (x0 ** 2.0))))) +pagie,97,GOMEA,GOMEA,8,1,kept,4.0,3.0,1.942860-1.152683*(exp((((-2.509000-10.440000)*(x1*x1))*(exp(-4.814000)*(x0*x0))))),1.94286 - 1.152683*exp(-0.105085451613159*x0**2*x1**2),saturated,375.796916,19,5,14,3,134,143,46,2,33,(1.94286 - (1.152683 * exp((-0.1050854516131593 * ((x1 * x1) * (x0 * x0)))))),saturated,346.685250,14,3,14,3,70,80,41,1,41,(1.94286 - (1.152683 * exp(((-0.105085451613159 * (x0 ** 2.0)) * (x1 ** 2.0))))) +pagie,99,GOMEA,GOMEA,10,1,kept,4.0,3.0,1.844910-1.211361*(exp((((12.665000-12.944000)+exp(-7.863000))*((x0*x0)*(x1*x1))))),1.84491 - 1.211361*exp(-0.278615282015546*x0**2*x1**2),saturated,295.292792,19,5,14,3,134,143,46,2,33,(1.84491 - (1.211361 * exp((-0.2786152820155465 * ((x0 * x0) * (x1 * x1)))))),saturated,270.522333,14,3,14,3,70,80,41,1,41,(1.84491 - (1.211361 * exp(((-0.278615282015546 * (x0 ** 2.0)) * (x1 ** 2.0))))) +pagie,26,Bingo,Bingo,27,1,kept,11.0,8.0,(0.3423580139257516)*(plog(0.45123069569900626 + (x0)*(((-1)*(-0.4457591552950685))*(((x1)^(-1))*((24.139650704131938 + (-0.8538385588541292)*((x1)*(x1)) + (-6.699001432126425)*(plog((-0.4457591552950685)*((x1)^(-1)))))^(-1))) + (x1)*(24.139650704131938 + (-0.8538385588541292)*((x1)*(x1)) + (-6.699001432126425)*(plog((-0.4457591552950685)*((x1)^(-1)))))))),0.3423580139257516*log((-x0*(873.33762693716456*x1**2*(0.028892470433989278*x1**2 + 0.22668301730799557*log(-1/x1) - 1)**2 + 0.4457591552950685) + 0.45123069569900626*x1*(0.8538385588541292*x1**2 + 6.699001432126425*log(-1/x1) - 29.552286323348394))/(x1*(0.8538385588541292*x1**2 + 6.699001432126425*log(-1/x1) - 29.552286323348394))),saturated,454.545917,55,12,49,9,347,371,138,2,123,(0.3423580139257516 * log(abs((0.45123069569900626 + (x0 * ((0.4457591552950685 * ((x1 ** -1.0) * (((-6.699001432126425 * (-4.411446485385776 + log(abs((x1 ** -1.0))))) + (-0.8538385588541292 * (x1 * x1))) ** -1.0))) + (x1 * ((-6.699001432126425 * (-4.411446485385776 + log(abs((x1 ** -1.0))))) + (-0.8538385588541292 * (x1 * x1)))))))))),saturated,14279.642792,67,17,61,14,317,342,132,2,166,(0.3423580139257516 * log((((-1022.8369495390365 * (x0 * ((((((0.02889247043398928 * (x1 ** 2.0)) + (0.22668301730799556 * log((-1.0 / x1)))) - 1.0) ** 2.0) * (x1 ** 2.0)) - -0.0005104087371780447))) - ((-0.45123069569900626 * x1) * (((x1 ** 2.0) - 34.61109365101552) - (-7.845747141141808 * log((-1.0 / x1)))))) / (x1 * (((x1 ** 2.0) - 34.61109365101552) - (-7.845747141141808 * log((-1.0 / x1)))))))) +pagie,100,GOMEA,GOMEA,11,1,kept,4.0,3.0,1.950391-0.000021*((exp(((13.012000-2.124000)-(x0*x0)))+exp(((-1.572000+12.461000)-(x1*x1))))),1.950391 - 1.12525747907577*exp(-x1**2) - 1.12413278403794*exp(-x0**2),saturated,275.014750,21,6,17,4,36,42,26,2,41,(2.1e-05 * ((92875.76190476191 - exp((10.888 - (x0 * x0)))) - exp((10.889 - (x1 * x1))))),saturated,287.978875,19,5,19,5,181,198,82,1,56,((1.950391 - (1.12525747907577 * exp((-1.0 * (x1 ** 2.0))))) - (1.12413278403794 * exp((-1.0 * (x0 ** 2.0))))) +pagie,101,GOMEA,GOMEA,12,1,kept,4.0,3.0,1.884443-1.188614*(exp((((-3.546000+x1)-(x1-3.362000))*((x0*x0)*(x1*x1))))),1.884443 - 1.188614*exp(-0.184*x0**2*x1**2),saturated,252.188584,20,4,20,4,159,170,57,1,46,(1.884443 - (1.188614 * exp((((-3.546 + x1) - (x1 - 3.362)) * ((x0 * x0) * (x1 * x1)))))),saturated,252.172250,14,3,14,3,70,80,41,1,41,(1.884443 - (1.188614 * exp(((-0.184 * (x0 ** 2.0)) * (x1 ** 2.0))))) +pagie,102,GOMEA,GOMEA,13,1,kept,3.0,3.0,1.926897-1.163077*(exp((x0*((-0.122000*x1)*(x0*x1))))),1.926897 - 1.163077*exp(-0.122*x0**2*x1**2),saturated,249.270708,14,3,14,3,134,143,46,1,33,(1.926897 - (1.163077 * exp((x0 * ((-0.122 * x1) * (x0 * x1)))))),saturated,248.709458,14,3,14,3,70,80,41,1,41,(1.926897 - (1.163077 * exp(((-0.122 * (x0 ** 2.0)) * (x1 ** 2.0))))) +pagie,104,GOMEA,GOMEA,15,1,kept,3.0,3.0,1.950390-1.109582*((exp((exp(-7.605000)-(x0*x0)))+exp(((x1-x1)-(x1*x1))))),1.95039 - 1.109582*exp(-x1**2) - 1.11013465996109*exp(-x0**2),saturated,280.206000,20,3,17,4,46,53,30,2,41,(1.109582 * ((1.75777004313336 - exp((0.0004979554215032735 - (x0 * x0)))) - exp((-1.0 * (x1 * x1))))),saturated,248.132833,19,5,19,5,174,190,79,1,56,((1.95039 - (1.109582 * exp((-1.0 * (x1 ** 2.0))))) - (1.11013465996109 * exp((-1.0 * (x0 ** 2.0))))) +pagie,105,GOMEA,GOMEA,16,1,kept,3.0,3.0,1.950383-1.106588*((exp((exp(-5.103000)-(x0*x0)))+exp(((x0-x0)-(x1*x1))))),1.950383 - 1.106588*exp(-x1**2) - 1.11333486172906*exp(-x0**2),saturated,281.581625,20,3,17,4,46,53,30,2,41,(1.106588 * ((1.762519564643752 - exp((0.0060784837337638405 - (x0 * x0)))) - exp((-1.0 * (x1 * x1))))),saturated,264.661625,19,5,19,5,181,198,82,1,56,((1.950383 - (1.106588 * exp((-1.0 * (x1 ** 2.0))))) - (1.11333486172906 * exp((-1.0 * (x0 ** 2.0))))) +pagie,98,GOMEA,GOMEA,9,1,kept,3.0,3.0,2.007440-1.043210*((exp(((x1*x1)*(23.561000-24.049000)))+exp(((x1-x1)-(x0*x0))))),2.00744 - 1.04321*exp(-0.488*x1**2) - 1.04321*exp(-x0**2),saturated,383.510750,21,4,17,4,52,59,31,2,41,(1.04321 * ((1.9242913699063466 - exp(((x1 * x1) * -0.48799999999999955))) - exp((-1.0 * (x0 * x0))))),saturated,4127.474000,19,5,17,4,41,48,29,2,49,(1.04321 * ((1.9242913699063466 - exp((-0.488 * (x1 ** 2.0)))) - exp((-1.0 * (x0 ** 2.0))))) +pagie,103,GOMEA,GOMEA,14,1,kept,4.0,4.0,1.993304-1.068007*((exp(((17.091000-17.877000)*(x1*x1)))+exp(((-0.722000*x0)*x0)))),1.993304 - 1.068007*exp(-0.785999999999998*x1**2) - 1.068007*exp(-0.722*x0**2),saturated,279.976291,19,5,17,4,48,54,28,2,41,(1.068007 * ((1.8663772802987246 - exp((-0.7859999999999978 * (x1 * x1)))) - exp(((-0.722 * x0) * x0)))),saturated,5780.491667,19,5,17,4,41,48,29,2,49,(1.068007 * ((1.8663772802987246 - exp((-0.785999999999998 * (x1 ** 2.0)))) - exp((-0.722 * (x0 ** 2.0))))) +pagie,108,GOMEA,GOMEA,19,1,kept,4.0,4.0,1.942097-1.116958*((exp((exp(-18.411000)-(x1*x1)))+exp(((-0.561000*x0)*(x0+x0))))),1.942097 - 1.11695801127823*exp(-x1**2) - 1.116958*exp(-1.122*x0**2),saturated,306.295750,20,4,19,4,50,56,29,2,44,(1.116958 * ((1.7387377143992881 - exp((1.009727753928824e-08 - (x1 * x1)))) - exp(((-0.561 * x0) * (x0 + x0))))),saturated,335.188459,19,5,19,5,177,194,82,1,56,((1.942097 - (1.11695801127823 * exp((-1.0 * (x1 ** 2.0))))) - (1.116958 * exp((-1.122 * (x0 ** 2.0))))) +pagie,109,GOMEA,GOMEA,20,1,kept,4.0,3.0,1.949837-0.000010*((exp(((9.658000+1.885000)-(x1*x1)))+exp(((10.589000+1.026000)-(x0*x0))))),1.949837 - 1.03053134177528*exp(-x1**2) - 1.10746601366406*exp(-x0**2),saturated,325.932000,21,6,17,4,36,42,26,2,41,(1e-05 * ((194983.69999999998 - exp((11.543 - (x1 * x1)))) - exp((11.615 - (x0 * x0))))),saturated,363.476791,19,5,19,5,174,190,79,1,56,((1.949837 - (1.03053134177528 * exp((-1.0 * (x1 ** 2.0))))) - (1.10746601366406 * exp((-1.0 * (x0 ** 2.0))))) +pagie,110,GOMEA,GOMEA,21,1,kept,4.0,3.0,1.950389-1.108799*((exp((exp(-6.234000)-(x0*x0)))+exp((exp(-24.872000)-(x1*x1))))),1.950389 - 1.1087990000175*exp(-x1**2) - 1.11097614346804*exp(-x0**2),saturated,375.266792,19,4,17,4,36,42,26,2,41,(1.108799 * ((1.7590104247929514 - exp((0.0019615898236818204 - (x0 * x0)))) - exp((1.5784384301013077e-11 - (x1 * x1))))),saturated,332.094167,19,5,19,5,195,213,88,1,56,((1.950389 - (1.1087990000175 * exp((-1.0 * (x1 ** 2.0))))) - (1.11097614346804 * exp((-1.0 * (x0 ** 2.0))))) +pagie,106,GOMEA,GOMEA,17,1,kept,2.0,2.0,1.950390-1.109849*((exp(((x1-x1)-(x0*x0)))+exp(((x0-x0)-(x1*x1))))),1.95039 - 1.109849*exp(-x1**2) - 1.109849*exp(-x0**2),saturated,279.294542,21,2,17,4,50,56,28,2,41,(1.109849 * ((1.7573471706511425 - exp((-1.0 * (x0 * x0)))) - exp((-1.0 * (x1 * x1))))),saturated,6703.228041,19,5,17,4,38,44,26,2,49,(1.109849 * ((1.7573471706511425 - exp((-1.0 * (x1 ** 2.0)))) - exp((-1.0 * (x0 ** 2.0))))) +pagie,111,GOMEA,GOMEA,22,1,kept,4.0,3.0,1.938930-5.446100*((exp(((-0.454000-1.011000)-(x1*x1)))+exp(((-1.344000-0.479000)-(x0*x0))))),1.93893 - 1.25847384938469*exp(-x1**2) - 0.879765183704653*exp(-x0**2),saturated,405.483500,21,6,17,4,36,42,26,2,41,(5.4461 * ((0.3560217403279411 - exp((-1.4649999999999999 - (x1 * x1)))) - exp((-1.823 - (x0 * x0))))),saturated,327.058958,19,5,19,5,174,190,79,1,56,((1.93893 - (1.25847384938469 * exp((-1.0 * (x1 ** 2.0))))) - (0.879765183704653 * exp((-1.0 * (x0 ** 2.0))))) +pagie,113,GOMEA,GOMEA,24,1,kept,4.0,3.0,1.961773-1.139885*(exp(((-4.331000*(x1*x0))*((x1*x0)*exp(-3.893000))))),1.961773 - 1.139885*exp(-0.0882835453806378*x0**2*x1**2),saturated,350.484416,17,4,14,3,134,143,46,2,33,(1.961773 - (1.139885 * exp((-0.0882835453806378 * ((x1 * x0) * (x1 * x0)))))),saturated,312.781583,14,3,14,3,70,80,41,1,41,(1.961773 - (1.139885 * exp(((-0.0882835453806378 * (x0 ** 2.0)) * (x1 ** 2.0))))) +pagie,107,GOMEA,GOMEA,18,1,kept,2.0,2.0,1.950390-1.109849*((exp(((x1-x1)-(x0*x0)))+exp(((x0-x0)-(x1*x1))))),1.95039 - 1.109849*exp(-x1**2) - 1.109849*exp(-x0**2),saturated,298.375292,21,2,17,4,50,56,28,2,41,(1.109849 * ((1.7573471706511425 - exp((-1.0 * (x0 * x0)))) - exp((-1.0 * (x1 * x1))))),saturated,6959.886875,19,5,17,4,38,44,26,2,49,(1.109849 * ((1.7573471706511425 - exp((-1.0 * (x1 ** 2.0)))) - exp((-1.0 * (x0 ** 2.0))))) +pagie,114,GOMEA,GOMEA,25,1,kept,3.0,3.0,2.015663-2.611492*((exp((x1-exp(x1)))+exp(((1.434000-2.275000)-(x0*x0))))),-2.611492*exp(x1 - exp(x1)) + 2.015663 - 1.12628173318904*exp(-x0**2),saturated,345.393792,18,4,16,3,33,38,23,2,35,(2.611492 * ((0.7718434519424144 - exp((x1 - exp(x1)))) - exp((-0.841 - (x0 * x0))))),saturated,254.912666,18,4,18,4,149,163,68,1,46,(((-2.611492 * exp((x1 - exp(x1)))) + 2.015663) - (1.12628173318904 * exp((-1.0 * (x0 ** 2.0))))) +pagie,115,GOMEA,GOMEA,26,1,kept,4.0,2.0,1.950387-0.000000*((exp((19.402000-(x1*x1)))+exp(((18.128000+1.277000)-(x0*x0))))),1.95038700000000,saturated,266.552500,19,5,1,1,3,4,3,2,6,1.950387,saturated,249.720417,1,1,1,1,3,4,3,1,6,1.950387 +pagie,116,GOMEA,GOMEA,27,1,kept,4.0,2.0,2.013362-0.000000*((exp(((x0+22.086000)-exp(x0)))+exp(((6.546000+14.636000)-(x1*x1))))),2.01336200000000,saturated,281.860958,20,5,1,1,3,4,3,2,6,2.013362,saturated,244.427291,1,1,1,1,3,4,3,1,6,2.013362 +pagie,118,GOMEA,GOMEA,29,1,kept,4.0,3.0,2.072676-0.000520*((exp(((x1+8.426000)-exp(x1)))+exp(((8.611000+x0)-exp(x0))))),-2.85570358866897*exp(x0 - exp(x0)) - 2.37338748595467*exp(x1 - exp(x1)) + 2.072676,saturated,341.177917,19,4,19,4,42,48,28,2,43,(0.00052 * ((3985.915384615385 - exp(((x1 + 8.426) - exp(x1)))) - exp(((8.611 + x0) - exp(x0))))),saturated,333.581542,17,3,17,3,114,123,48,2,36,(((-2.85570358866897 * exp((x0 - exp(x0)))) + (-2.37338748595467 * exp((x1 - exp(x1))))) + 2.072676) +pagie,112,GOMEA,GOMEA,23,1,kept,3.0,3.0,1.967245-1.093740*((exp(((-3.351000+2.551000)*(x0*x0)))+exp(((x1-x1)-(x1*x1))))),1.967245 - 1.09374*exp(-x1**2) - 1.09374*exp(-0.8*x0**2),saturated,413.953041,21,4,17,4,52,59,31,2,41,(1.09374 * ((1.7986404447126374 - exp((-0.7999999999999998 * (x0 * x0)))) - exp((-1.0 * (x1 * x1))))),saturated,4535.272250,19,5,17,4,41,48,29,2,49,(1.09374 * ((1.7986404447126374 - exp((-1.0 * (x1 ** 2.0)))) - exp((-0.8 * (x0 ** 2.0))))) +pagie,120,Operon,Operon,1,1,kept,12.0,7.0,(0.0000018283429881 + (1.0000038146972656 * (((exp((((0.0879114493727684 * x0) * ((-110.2642364501953125) * x0)) + (-1.4756100177764893))) + 1.6358861923217773) / exp(exp((((-1.3751174211502075) * x1) * (0.7306602597236633 * x1))))) - (exp((((0.0290526524186134 * x0) * ((-29.7418365478515625) * x0)) + 0.1625563055276871)) + (-0.3440066277980804))))),0.22864008270232224*exp(-9.693488840318309485*x0**2 - exp(-1.0047436520881447*x1**2)) + 0.34400976842221091 + 1.635892432732362*exp(-exp(-1.0047436520881447*x1**2)) - 1.1765190489038249*exp(-0.8640792395159440872*x0**2),saturated,460.325584,39,12,31,8,100,112,56,2,77,(1.0000038146972656 * (0.3440084561340939 + (((exp(((-9.69348884031831 * (x0 * x0)) + -1.4756100177764893)) + 1.6358861923217773) / exp(exp((-1.0047436520881448 * (x1 * x1))))) - exp(((-0.8640792395159441 * (x0 * x0)) + 0.1625563055276871))))),saturated,417.383875,38,9,38,9,719,750,203,1,107,((((0.22864008270232225 * exp(((-9.69348884031831 * (x0 ** 2.0)) - exp((-1.0047436520881448 * (x1 ** 2.0)))))) + 0.3440097684222109) + (1.635892432732362 * exp((-1.0 * exp((-1.0047436520881448 * (x1 ** 2.0))))))) - (1.1765190489038249 * exp((-0.8640792395159441 * (x0 ** 2.0))))) +pagie,54,EPLEX,EPLEX,25,1,kept,11.0,7.0,(exp((-0.772^2))-(-0.16+(exp((plog(-0.598)*((x1-(x1-(exp(plog((plog((plog((x0*(-0.413^3)))*(-0.543^3)))+(exp((-0.33*((0.032+((x1-(x1*(exp(plog((exp(plog(exp(plog((x0*(-0.371^2))))))*(-0.774^2))))*(-0.543^2))))^2))-plog((x0*(-0.735^3))))))^2))))^2)))^2)))^3))),0.711020095242334 - 1.0*exp(3*plog(-0.598)*exp(4*plog(plog(-0.160103007*plog(-0.070444997*x0)) + 0.979101465343806*exp(-0.05737771564866*x1**2*exp(2*plog(-0.599076*exp(plog(exp(plog(-0.137641*x0)))))) - 0.38920068*x1**2*exp(plog(-0.599076*exp(plog(exp(plog(-0.137641*x0)))))) - 0.66*x1**2 + 0.66*plog(-0.397065375*x0))))),saturated,4105.166291,96,18,45,7,152,168,82,2,110,(0.7110200952423344 - (exp((-0.5141645250315053 * ((abs((log((abs(log(abs((x0 * -0.070444997)))) * 0.16010300700000005)) + (exp((-0.33 * ((0.9556543393079011 + ((x1 - (x1 * (-0.024312487745842885 * abs(abs(abs(x0)))))) ** 2.0)) - log(abs(x0))))) ** 2.0))) ** 2.0) ** 2.0))) ** 3.0)),saturated,18881.266708,86,18,56,13,182,204,105,2,131,(0.711020095242334 - exp((-1.542493575094516 * exp((4.0 * log(abs((log((0.160103007 * abs(log(abs((-0.070444997 * x0)))))) + (0.979101465343806 * exp((-0.05737771564866 * (((x1 ** 2.0) * (exp((2.0 * log((0.08245741971600001 * abs(abs(abs(x0))))))) + (0.5593196498275389 * (abs(abs(abs(x0))) + 20.565563064828417)))) + (-11.502723531925998 * log(abs((-0.397065375 * x0)))))))))))))))) +pagie,119,GOMEA,GOMEA,30,1,kept,4.0,4.0,1.983784-1.077004*((exp(((x1*x1)*(-17.973000+17.206000)))+exp(((-1.143000+0.306000)*(x0*x0))))),1.983784 - 1.077004*exp(-0.766999999999999*x1**2) - 1.077004*exp(-0.837*x0**2),saturated,274.734209,21,6,17,4,48,54,28,2,41,(1.077004 * ((1.8419467337168662 - exp(((x1 * x1) * -0.7669999999999995))) - exp((-0.837 * (x0 * x0))))),saturated,5095.197250,19,5,17,4,41,48,29,2,49,(1.077004 * ((1.8419467337168662 - exp((-0.766999999999999 * (x1 ** 2.0)))) - exp((-0.837 * (x0 ** 2.0))))) +pagie,117,GOMEA,GOMEA,28,1,kept,2.0,2.0,1.950390-1.109849*((exp(((x0-x0)-(x1*x1)))+exp(((x0-x0)-(x0*x0))))),1.95039 - 1.109849*exp(-x1**2) - 1.109849*exp(-x0**2),saturated,293.231833,21,2,17,4,50,56,28,2,41,(1.109849 * ((1.7573471706511425 - exp((-1.0 * (x1 * x1)))) - exp((-1.0 * (x0 * x0))))),saturated,6202.910917,19,5,17,4,38,44,26,2,49,(1.109849 * ((1.7573471706511425 - exp((-1.0 * (x1 ** 2.0)))) - exp((-1.0 * (x0 ** 2.0))))) +pagie,123,Operon,Operon,4,1,kept,13.0,8.0,(0.0130726965144277 + (0.9919041991233826 * (exp(((((58.9215812683105469 * x0) * exp((((-5.0386314392089844) * x1) * (2.4705743789672852 * x1)))) + (log(((0.4419521391391754 * x0) * (0.1393797099590302 * x0))) / (0.0113436263054609 * x0))) / (381.6167297363281250 * x0))) - (exp(((((-0.8848519921302795) * x1) * (0.9313139915466309 * x1)) + 0.1248256787657738)) + (-0.9970148205757141))))),0.9919041991233826*exp(0.1543998904582130231*exp(-12.448313738768775*x1**2) + 0.2310046294243750492*log(x0**2)/x0**2 - 0.6438346264391826885/x0**2) + 1.002015883631724 - 1.123778793245288*exp(-0.8240750407188386*x1**2),saturated,353.862125,47,13,37,8,123,135,63,2,86,(0.9919041991233826 * (1.0101942148417944 + (exp(((0.154399890458213 / x0) * ((exp((-12.448313738768775 * (x1 * x1))) * x0) + (log((0.061599160968991234 * (x0 * x0))) * (1.4961450344221223 / x0))))) - exp(((-0.8240750407188386 * (x1 * x1)) + 0.1248256787657738))))),saturated,309.693375,39,8,39,8,226,248,109,2,109,(((0.9919041991233826 * exp((((0.15439989045821303 * exp((-12.448313738768775 * (x1 ** 2.0)))) + (log((x0 ** 2.0)) * (0.23100462942437505 / (x0 ** 2.0)))) - (0.6438346264391827 / (x0 ** 2.0))))) + 1.002015883631724) - (1.123778793245288 * exp((-0.8240750407188386 * (x1 ** 2.0))))) +pagie,122,Operon,Operon,3,1,kept,13.0,7.0,(0.0000011243114386 + (0.9999998211860657 * (((((-1.5812002420425415) + exp((((-0.1428712755441666) * x1) * (6.4702811241149902 * x1)))) + exp(((0.0134312557056546 * x0) * ((-68.7404861450195312) * x0)))) * (-1.2517620325088501)) - ((exp((((-0.0396961532533169) * x1) * (152.2495422363281250 * x1))) + exp(((1.0955569744110107 * x0) * ((-5.6038808822631836) * x0)))) * (-0.2742688059806824))))),1.9792871991701026 + 0.2742687569375981*exp(-6.043721161360625488*x1**2) - 1.2517618086763563*exp(-0.9244173173316527744*x1**2) + 0.2742687569375981*exp(-6.1393707843319587*x0**2) - 1.2517618086763563*exp(-0.923271046744764579*x0**2),saturated,346.624125,45,13,33,7,158,168,60,2,76,(-1.2517618086763562 * ((-1.5812011402257509 + (exp((-0.9232710467447646 * (x0 * x0))) + exp((-0.9244173173316528 * (x1 * x1))))) + (-0.21910618700503146 * (exp((-6.043721161360626 * (x1 * x1))) + exp((-6.139370784331959 * (x0 * x0))))))),saturated,2501.335125,37,9,33,7,173,186,71,2,92,((-1.2517618086763562 * (exp((-0.9232710467447646 * (x0 ** 2.0))) + exp((-0.9244173173316528 * (x1 ** 2.0))))) + (0.2742687569375981 * (exp((-6.139370784331959 * (x0 ** 2.0))) + (exp((-6.043721161360626 * (x1 ** 2.0))) + 7.216597403474695)))) +pagie,126,Operon,Operon,7,1,kept,12.0,7.0,(0.0028247879818082 + (0.9984024167060852 * (0.7176343202590942 - ((exp(((4.5870537757873535 * x1) * ((-0.0708576515316963) * x1))) / ((((-2.5320065021514893) * x1) * ((-0.5026428699493408) * x1)) + exp((((-1.5353101491928101) * x1) * (1.0705516338348389 * x1))))) + ((-3.4508912563323975) / exp(exp(exp(((1.6964559555053711 * x0) * ((-0.5267499089241028) * x0)))))))))),0.7193126276397166 + 3.4453781701121642*exp(-exp(exp(-0.89360802005620601*x0**2))) - 0.9984024167060852*exp(-0.32502785800189209*x1**2)/(1.2726950149718163*x1**2 + exp(-1.6436287886615731*x1**2)),saturated,373.768917,44,12,36,8,107,118,57,2,84,(0.0028247879818082 + (0.9984024167060852 * (0.7176343202590942 - ((exp((-0.3250278580018921 * (x1 * x1))) / ((1.2726950149718164 * (x1 * x1)) + exp((-1.643628788661573 * (x1 * x1))))) + (-3.4508912563323975 / exp(exp(exp((-0.893608020056206 * (x0 * x0)))))))))),saturated,306.157458,36,8,36,8,200,217,90,1,100,((0.7193126276397166 + (3.445378170112164 * exp((-1.0 * exp(exp((-0.893608020056206 * (x0 ** 2.0)))))))) - ((0.9984024167060852 * exp((-0.3250278580018921 * (x1 ** 2.0)))) / ((1.2726950149718164 * (x1 ** 2.0)) + exp((-1.643628788661573 * (x1 ** 2.0)))))) +pagie,121,Operon,Operon,2,1,kept,13.0,6.0,((-0.0615618973970413) + (1.0497297048568726 * (((((3.4508244991302490 * x0) * (exp(((2.5524139404296875 * x0) * ((-1.6356614828109741) * x0))) * (((2.4663076400756836 * x0) * ((-0.0845688283443451) * x0)) * (3.5071039199829102 * x0)))) - exp(((3.0741317272186279 * x0) * ((-0.2599562704563141) * x0)))) - exp(((0.0030150315724313 * x1) * ((-247.1376800537109375) * x1)))) + 1.9547927379608154))),-2.6497601004867348*x0**4*exp(-4.174885170550624*x0**2) + 1.9904421064789234 - 1.0497297048568726*exp(-0.745127908099363587*x1**2) - 1.0497297048568726*exp(-0.79913981869918164*x0**2),saturated,1326.550875,48,13,34,6,177,185,53,2,74,(1.0497297048568726 * (1.8961472627378055 + (((((-2.524230845547065 * (x0 * (x0 * x0))) * x0) * exp((-4.174885170550624 * (x0 * x0)))) - exp((-0.7991398186991816 * (x0 * x0)))) - exp((-0.7451279080993636 * (x1 * x1)))))),saturated,5280.702875,32,7,30,6,322,344,122,2,84,(((-2.6497601004867346 * (x0 ** 4.0)) * exp((-4.174885170550624 * (x0 ** 2.0)))) - (-1.9904421064789235 - (-1.0497297048568726 * (exp((-0.7991398186991816 * (x0 ** 2.0))) + exp((-0.7451279080993636 * (x1 ** 2.0))))))) +pagie,125,Operon,Operon,6,1,kept,13.0,8.0,(0.0004403672355693 + (0.9997187852859497 * (exp((((-13.4114389419555664) * x0) * (0.2287123352289200 * x0))) - ((-3.1294746398925781) + (exp((exp((((-3.3788871765136719) * x0) * (0.2795567214488983 * x0))) - (-0.1448028236627579))) + ((1.0040752887725830 + ((1.8763431310653687 * x1) * (0.6411635279655457 * x1))) / exp(((1.1580088138580322 * x1) * (1.2662296295166016 * x1))))))))),-1.2027044682559756*x1**2*exp(-1.4663050713484154*x1**2) - 1.155486617848524*exp(exp(-0.94459062121188704*x0**2)) + 3.1290349528121623 - 1.0037929280273658*exp(-1.4663050713484154*x1**2) + 0.9997187852859497*exp(-3.06736151919473366*x0**2),saturated,757.400917,45,13,35,8,140,153,68,2,83,(0.9997187852859497 * (3.1299151310007285 + (exp((-3.067361519194734 * (x0 * x0))) - (exp((exp((-0.9445906212118871 * (x0 * x0))) + 0.1448028236627579)) + (((x1 * x1) + 0.8346131194498276) * (1.20304278158779 / exp((1.4663050713484154 * (x1 * x1))))))))),saturated,3420.028167,42,9,35,8,587,612,167,2,99,(((0.9997187852859497 * exp((-3.067361519194734 * (x0 ** 2.0)))) + ((exp((-1.4663050713484154 * (x1 ** 2.0))) * (-1.0037929280273659 + (-1.2027044682559755 * (x1 ** 2.0)))) + (-1.155486617848524 * exp(exp((-0.9445906212118871 * (x0 ** 2.0))))))) + 3.1290349528121624) +pagie,124,Operon,Operon,5,1,kept,13.0,7.0,((-0.0197761859744787) + (1.0117771625518799 * ((exp(((1.6896657943725586 * x1) * ((-1.6174912452697754) * x1))) * ((0.0575970448553562 * x1) * ((-14.7621564865112305) * x1))) - (exp(((0.4481753110885620 * x1) * ((-1.8585087060928345) * x1))) - (1.9719880819320679 - exp((((0.2870940864086151 * x0) * ((-1.9049599170684814) * x0)) / exp((((-0.2803071439266205) * x0) * (0.7164036631584167 * x0)))))))))),-0.860270199378549024*x1**2*exp(-2.7330196298294141*x1**2) + 1.975436320148873 - 1.0117771625518799*exp(-0.54690272703580685*x0**2*exp(0.2008130647185045*x0**2)) - 1.0117771625518799*exp(-0.83293771751395694*x1**2),saturated,354.351958,49,13,37,7,148,157,58,2,82,(1.0117771625518799 * (1.9524420922552503 + ((exp((-2.733019629829414 * (x1 * x1))) * (-0.8502565893153748 * (x1 * x1))) - (exp(((-0.5469027270358069 * (x0 * x0)) / exp((-0.20081306471850446 * (x0 * x0))))) + exp((-0.832937717513957 * (x1 * x1))))))),saturated,4310.727375,39,8,37,7,267,286,103,2,102,(((-1.0117771625518799 * (exp((-0.832937717513957 * (x1 ** 2.0))) + exp(((-0.5469027270358069 * (x0 ** 2.0)) * exp((0.2008130647185045 * (x0 ** 2.0))))))) - -1.975436320148873) - (0.860270199378549 * (exp((-2.733019629829414 * (x1 ** 2.0))) * (x1 ** 2.0)))) +pagie,129,Operon,Operon,10,1,kept,14.0,8.0,(0.0000002913372725 + (1.0000000000000000 * ((1.0092900991439819 / ((((-9.8911437988281250) * x0) * ((-0.0619828216731548) * x0)) - exp((((-5.2376017570495605) * x0) * ((-0.1814788132905960) * x0))))) + ((2.9227268695831299 / ((-1.9528466463088989) - exp((((-1044.4626464843750000) * x1) * ((-0.0013573808828369) * x1))))) + (((241.8676300048828125 * x1) * (0.0000091869978860 * x1)) - (-1.9428678750991821)))))),0.002222037405546688681*x1**2 + 1.9428681664364546 - 2.9227268695831299/(exp(1.4177336291751259086*x1**2) + 1.9528466463088989) + 1.0092900991439819/(0.61308100222629464*x0**2 - exp(0.95051375135809475*x0**2)),saturated,1756.658083,45,14,33,8,226,239,78,2,81,(((1.9428681664364547 + (0.0022220374055466887 * (x1 * x1))) + (2.92272686958313 / (-1.952846646308899 - exp((1.417733629175126 * (x1 * x1)))))) + (1.009290099143982 / ((0.6130810022262947 * (x0 * x0)) - exp((0.9505137513580948 * (x0 * x0)))))),saturated,242.356000,33,8,33,8,96,110,61,1,97,((((0.0022220374055466887 * (x1 ** 2.0)) + 1.9428681664364547) - (2.92272686958313 / (exp((1.417733629175126 * (x1 ** 2.0))) + 1.952846646308899))) + (1.009290099143982 / ((0.6130810022262947 * (x0 ** 2.0)) - exp((0.9505137513580948 * (x0 ** 2.0)))))) +pagie,128,Operon,Operon,9,1,kept,13.0,7.0,((-0.0000084446337496) + (1.0000045299530029 * ((((exp(((1.8677622079849243 * x1) * ((-3.2215218544006348) * x1))) + exp(((4.2088832855224609 * x0) * ((-1.4519027471542358) * x0)))) * 0.2748067975044250) - ((exp(((0.5492876768112183 * x1) * ((-1.6836870908737183) * x1))) + exp(((1.3932512998580933 * x0) * ((-0.6629599928855896) * x0)))) * 1.2524310350418091)) + 1.9792671203613281))),1.9792676417146139 + 0.27480804236630257*exp(-6.0170367718470175*x1**2) - 1.2524367084955372*exp(-0.92482857062306332*x1**2) + 0.27480804236630257*exp(-6.1108892047016068*x0**2) - 1.2524367084955372*exp(-0.92366987184176*x0**2),saturated,366.103416,45,13,33,7,158,168,60,2,76,(0.2748080423663026 * (7.20236432919372 + ((exp((-6.0170367718470175 * (x1 * x1))) + exp((-6.110889204701607 * (x0 * x0)))) + (-4.5574965627320125 * (exp((-0.9248285706230632 * (x1 * x1))) + exp((-0.92366987184176 * (x0 * x0)))))))),saturated,3183.026375,37,9,33,7,173,186,71,2,92,((-1.2524367084955372 * (exp((-0.92366987184176 * (x0 ** 2.0))) + exp((-0.9248285706230633 * (x1 ** 2.0))))) + (0.2748080423663026 * (exp((-6.110889204701607 * (x0 ** 2.0))) + (exp((-6.0170367718470175 * (x1 ** 2.0))) + 7.20236432919372)))) +pagie,131,Operon,Operon,12,1,kept,14.0,6.0,((-0.0001345924683847) + (1.0000907182693481 * (((0.0052004987373948 * x0) * ((-5.5132131576538086) * x0)) - (log((((-29.4069671630859375) * x1) * (((-0.0669591948390007) + (((7.1831178665161133 * x0) * ((-12.8945026397705078) * x0)) * (((-0.0048121302388608) * x0) * ((-3.7251195907592773) * x0)))) * (11.7470531463623047 * x1)))) * ((-0.1758960038423538) + ((5.9699630737304688 * x1) * (0.0000638487472315 * x1))))))),-0.028674059090422408*x0**2 - 1.0000907182693481*(0.0003811746632760055*x1**2 - 0.1758960038423538)*log(x1**2*(573.554050429521172*x0**4 + 23.1307328639999089)) - 0.0001345924683847,saturated,887.406916,48,14,32,6,351,376,132,2,72,(-0.02867405909042241 * (((x0 * x0) + (0.013294568501084911 * (log(((573.5540504295212 * (x1 * (((x0 * x0) * (x0 * x0)) + 0.04032877607032475))) * x1)) * ((x1 * x1) + -461.4577535941546)))) + 0.004693875672093318)),saturated,807.212500,30,7,28,6,244,267,109,2,82,(((-0.028674059090422407 * (x0 ** 2.0)) - ((0.00038120924278177724 * ((x1 ** 2.0) - 461.4577535941546)) * log(((x1 ** 2.0) * (573.5540504295212 * ((x0 ** 4.0) + 0.04032877607032475)))))) - 0.0001345924683847) +pagie,132,Operon,Operon,13,1,kept,12.0,8.0,((-0.0000847672417876) + (1.0000656843185425 * ((exp((((-1.8279364109039307) * x1) * (2.2386462688446045 * x1))) - ((-1.5547065734863281) + ((-1.6497515439987183) / exp(exp(((0.0022635490167886 * x0) * ((-443.1721801757812500) * x0))))))) - exp(exp(((-1.6148645877838135) + exp((0.5693863630294800 + ((0.0016070556594059 * x1) * ((-348.2632751464843750) * x1)))))))))),-1.0000656843185425*exp(0.19891760449084139*exp(1.767182310249908*exp(-0.5596784672873918045*x1**2))) + 1.5547239260863535 + 1.6498599068046503*exp(-exp(-1.003141952704949999*x0**2)) + 1.0000656843185425*exp(-4.0921030259552823*x1**2),saturated,288.698792,41,12,35,9,125,140,70,2,86,(-8.47672417876e-05 + (1.0000656843185425 * ((exp((-4.092103025955282 * (x1 * x1))) - (-1.5547065734863281 + (-1.6497515439987183 / exp(exp((-1.00314195270495 * (x0 * x0))))))) - exp(exp((-1.6148645877838135 + exp((0.56938636302948 + (-0.5596784672873918 * (x1 * x1)))))))))),saturated,1459.099167,37,10,35,9,115,129,66,2,98,((1.0000656843185425 * (exp((-4.092103025955282 * (x1 ** 2.0))) + (1.5546218118120534 - exp((0.1989176044908414 * exp((1.767182310249908 * exp((-0.5596784672873918 * (x1 ** 2.0)))))))))) + (1.6498599068046502 * exp((-1.0 * exp((-1.00314195270495 * (x0 ** 2.0))))))) +pagie,127,Operon,Operon,8,1,kept,13.0,7.0,((-0.0218773111701012) + (1.0134590864181519 * ((((((-0.3641613721847534) * x0) * (2.2286646366119385 * x0)) * exp((((-2.4582626819610596) * x0) * (1.0862829685211182 * x0)))) + (1.9716572761535645 - exp(((((-2.4894037246704102) * x1) * (0.2193875461816788 * x1)) * exp((((-0.4357891678810120) * x1) * ((-0.4778871238231659) * x1))))))) - exp((((-1.3948150873184204) * x0) * (0.5922598838806152 * x0)))))),-0.8225168802330056*x0**2*exp(-2.6703688835653453*x0**2) + 1.9763166706501921 - 1.0134590864181519*exp(-0.54614417461097283*x1**2*exp(0.2082580320319476*x1**2)) - 1.0134590864181519*exp(-0.82609302165013783*x0**2),saturated,323.622667,49,13,39,8,160,171,64,2,89,(-0.0218773111701012 + (1.0134590864181519 * ((((-0.8115935722082384 * (x0 * x0)) * exp((-2.670368883565345 * (x0 * x0)))) + (1.9716572761535645 - exp(((-0.5461441746109729 * (x1 * x1)) * exp((0.20825803203194762 * (x1 * x1))))))) - exp((-0.8260930216501379 * (x0 * x0)))))),saturated,6335.663458,39,8,37,7,291,311,111,2,102,(((-1.0134590864181519 * (exp((-0.8260930216501379 * (x0 ** 2.0))) + exp(((-0.5461441746109729 * (x1 ** 2.0)) * exp((0.2082580320319476 * (x1 ** 2.0))))))) - -1.976316670650192) - (0.8225168802330056 * (exp((-2.670368883565345 * (x0 ** 2.0))) * (x0 ** 2.0)))) +pagie,130,Operon,Operon,11,1,kept,13.0,8.0,((-0.0000135196241899) + (1.0000069141387939 * ((1.2255471944808960 * exp(((-1.7740323543548584) * exp(((2.9035081863403320 * x1) * ((-0.4098204970359802) * x1)))))) - ((1.2498761415481567 * exp(((0.1515025645494461 * x0) * ((-6.0828857421875000) * x0)))) + ((-0.7505750060081482) - (0.2749604582786560 * exp(((1.1432402133941650 * x0) * ((-5.4770793914794922) * x0))))))))),0.75056667596372507 + 1.2255556680842971*exp(-1.7740323543548584*exp(-1.1899171680740323*x1**2)) + 0.27496235939342737*exp(-6.261617412291798*x0**2) - 1.2498847833652745*exp(-0.92157278980266706*x0**2),saturated,3995.032334,41,13,31,8,204,218,78,2,77,(1.2255556680842972 * ((0.6124296884342744 + (0.22435729894116463 * exp((-6.261617412291798 * (x0 * x0))))) + (exp((-1.7740323543548584 * exp((-1.1899171680740324 * (x1 * x1))))) + (-1.0198514974999113 * exp((-0.9215727898026671 * (x0 * x0))))))),saturated,356.107916,31,8,31,8,695,727,206,1,89,(((0.7505666759637251 + (1.2255556680842972 * exp((-1.7740323543548584 * exp((-1.1899171680740324 * (x1 ** 2.0))))))) + (0.2749623593934274 * exp((-6.261617412291798 * (x0 ** 2.0))))) - (1.2498847833652744 * exp((-0.9215727898026671 * (x0 ** 2.0))))) +pagie,134,Operon,Operon,15,1,kept,15.0,7.0,((-0.0000022516087483) + (1.0000016689300537 * (((((51.6682472229003906 * x0) * ((-0.0001894439337775) * x0)) + 2.5324115753173828) + ((-46.3591499328613281) / (((13.0968494415283203 * x0) * (2.1884925365447998 * x0)) + 34.0089225769042969))) + (((-1351.7908935546875000) / (((17.2840843200683594 * x1) * (47.4518127441406250 * x1)) + 990.7814331054687500)) + ((0.0012052881065756 * x1) * ((-8.2380609512329102) * x1)))))),-0.00978825234117588218*x0**2 - 0.0099292534569677497*x1**2 + 2.5324135501264209 - 1351.7931495991360721/(820.161132609820926*x1**2 + 990.78143310546875) - 46.3592273030399151/(28.6623572550356584*x0**2 + 34.0089225769042969),saturated,2520.009625,45,15,29,7,842,862,160,2,72,(-0.009788252341175882 * (((x0 * x0) + -258.7196837451166) + (1.0144051369822908 * (((x1 * x1) + (165.99479114520634 / ((x1 * x1) + 1.2080326581103884))) + (162.89497489770397 / ((x0 * x0) + 1.186536134285651)))))),saturated,323.091458,33,9,29,7,188,209,96,2,88,(((((-0.009788252341175882 * (x0 ** 2.0)) - (0.009929253456967749 * (x1 ** 2.0))) + 2.532413550126421) - (1.6482043538171796 / ((x1 ** 2.0) + 1.2080326581103884))) - (1.6174254926257021 / ((x0 ** 2.0) + 1.186536134285651))) +pagie,135,Operon,Operon,16,1,kept,13.0,8.0,(0.0071523520164192 + (0.9955711960792542 * (((exp(((0.0195227134972811 * x1) * ((-151.1385955810546875) * x1))) * ((396057.1250000000000000 * x1) * ((-0.0000024948039936) * x1))) + ((85.4024658203125000 * x1) / ((43.1343650817871094 * x1) - (((-47.3760452270507812) * x1) * exp(((0.9379857182502747 * x0) * ((-1.2238332033157349) * x0))))))) - exp(((185448.0000000000000000 * x1) * ((-0.0000044009234443) * x1)))))),-0.9837088628772344519805*x1**2*exp(-2.950635499910365785*x1**2) + 85.0242350448461413*x1/(43.1343650817871094*x1 + 47.3760452270507812*x1*exp(-1.1479380662306441*x0**2)) + 0.0071523520164192 - 0.9955711960792542*exp(-0.816142450898546401501*x1**2),saturated,1149.035292,50,13,36,8,126,138,62,2,85,(0.0071523520164192 + (0.9955711960792542 * ((x1 * ((exp((-2.9506354999103657 * (x1 * x1))) * (-0.9880848971437344 * x1)) + (1.8026507998086212 / (x1 * (exp((-1.147938066230644 * (x0 * x0))) + 0.9104678297874944))))) - exp((-0.8161424508985464 * (x1 * x1)))))),saturated,4032.805375,42,9,38,8,678,707,194,2,104,(((((-0.9837088628772345 * (x1 ** 2.0)) * exp((-2.9506354999103657 * (x1 ** 2.0)))) + (x1 * (1.7946672128786931 / (x1 * (exp((-1.1479380662306442 * (x0 ** 2.0))) + 0.9104678297874944))))) + 0.0071523520164192) - (0.9955711960792542 * exp((-0.8161424508985464 * (x1 ** 2.0))))) +pagie,138,Operon,Operon,19,1,kept,12.0,9.0,((-0.0000098704376796) + (1.0000013113021851 * ((exp(exp(((-0.1284630000591278) - exp((((-1.7482314109802246) * x0) * (0.6576864719390869 * x0)))))) - exp((0.2162327617406845 + (((-0.0238646697252989) * x1) * (38.5694580078125000 * x1))))) - exp((((-0.9399499893188477) - exp(((1.4266452789306641 * x1) * ((-5.3529791831970215) * x1)))) * 0.8908159136772156))))),1.0000013113021851*exp(0.8794461012701917*exp(-exp(-1.1497881488206758*x0**2))) - 9.8704376796e-6 - 0.4328685844136254*exp(-0.8908159136772156*exp(-7.6368024799221532*x1**2)) - 1.24139292161274*exp(-0.92044737684023015*x1**2),saturated,285.037125,41,12,35,9,108,121,62,2,86,(-9.8704376796e-06 + (1.000001311302185 * ((exp(exp((-0.1284630000591278 - exp((-1.1497881488206758 * (x0 * x0)))))) - exp((0.2162327617406845 + (-0.9204473768402301 * (x1 * x1))))) - exp(((-0.9399499893188477 - exp((-7.636802479922153 * (x1 * x1)))) * 0.8908159136772156))))),saturated,301.281041,37,10,37,10,548,579,175,1,105,((((1.000001311302185 * exp((0.8794461012701917 * exp((-1.0 * exp((-1.1497881488206758 * (x0 ** 2.0)))))))) - 9.8704376796e-06) - (0.4328685844136254 * exp((-0.8908159136772156 * exp((-7.636802479922153 * (x1 ** 2.0))))))) - (1.24139292161274 * exp((-0.9204473768402301 * (x1 ** 2.0))))) +pagie,136,Operon,Operon,17,1,kept,13.0,8.0,(0.0005329695995897 + (0.9996598958969116 * (((2.9738872051239014 + exp(((100.4859924316406250 * x1) * ((-0.0308157186955214) * x1)))) - ((((0.7702111005783081 * x0) * (1.5427883863449097 * x0)) + 1.0054689645767212) * exp((((-1.7126119136810303) * x0) * (0.8499408960342407 * x0))))) - exp(exp((((100.9902267456054688 * x1) * ((-0.0091333612799644) * x1)) + 0.0902468413114548)))))),-1.1878686045713406*x0**2*exp(-1.4556189044729706*x0**2) - 0.9996598958969116*exp(1.09444440445747*exp(-0.9223802266131381654*x1**2)) + 2.9734087434829063 + 0.9996598958969116*exp(-3.096548075613729891*x1**2) - 1.0051270004563406*exp(-1.4556189044729706*x0**2),saturated,405.284875,45,13,37,9,138,152,69,2,90,(0.0005329695995897 + (0.9996598958969116 * (((2.9738872051239014 + exp((-3.09654807561373 * (x1 * x1)))) + (-1.1882727410061449 * (exp((-1.4556189044729706 * (x0 * x0))) * ((x0 * x0) + 0.8461600858783999)))) - exp(exp(((-0.9223802266131381 * (x1 * x1)) + 0.0902468413114548)))))),saturated,10204.511375,44,10,35,8,186,204,87,2,99,(-0.9996598958969116 * ((exp((1.09444440445747 * exp((-0.9223802266131381 * (x1 ** 2.0))))) - (exp((-3.09654807561373 * (x1 ** 2.0))) - (exp((-1.4556189044729706 * (x0 ** 2.0))) * (1.0054689645767212 - (-1.1882727410061449 * (x0 ** 2.0)))))) - 2.9744203560503086)) +pagie,140,Operon,Operon,21,1,kept,13.0,8.0,(0.0056000440381467 + (0.9965137243270874 * ((0.7391300201416016 + (exp((((-26.2499160766601562) * x1) * (0.1143757924437523 * x1))) * (((-49.5787200927734375) * x1) * (0.0202242378145456 * x1)))) - (exp(((2.2524499893188477 * x1) * ((-0.3599792122840881) * x1))) + (exp((exp((((-0.7799134254455566) * x0) * (1.5038967132568359 * x0))) * (-1.7264224290847778))) * (-1.2398984432220459)))))),-0.999196165577684391*x1**2*exp(-3.00235495284999869*x1**2) + 0.7421532531714092 + 1.2355758154425587*exp(-1.7264224290847778*exp(-1.1729092371524529*x0**2)) - 0.9965137243270874*exp(-0.810835172864301451*x1**2),saturated,891.717667,45,13,37,9,159,173,72,2,90,(0.9965137243270874 * ((((0.7391300201416016 + (exp((-3.002354952849999 * (x1 * x1))) * (-1.0026918256970403 * (x1 * x1)))) - exp((-0.8108351728643014 * (x1 * x1)))) + (1.239898443222046 * exp((exp((-1.172909237152453 * (x0 * x0))) * -1.7264224290847778)))) + 0.005619635637159161)),saturated,392.932209,35,8,35,8,736,767,211,1,99,(((((-0.9991961655776844 * (x1 ** 2.0)) * exp((-3.002354952849999 * (x1 ** 2.0)))) + 0.7421532531714092) + (1.2355758154425587 * exp((-1.7264224290847778 * exp((-1.172909237152453 * (x0 ** 2.0))))))) - (0.9965137243270874 * exp((-0.8108351728643014 * (x1 ** 2.0))))) +pagie,141,Operon,Operon,22,1,kept,12.0,7.0,(0.0059260418638587 + (0.9963514208793640 * (((1.9877398014068604 + ((((-0.0255243461579084) * x1) * (39.2693595886230469 * x1)) * exp((((-0.0006980864563957) * x1) * (4245.9946289062500000 * x1))))) - exp((((-0.0209862142801285) * x1) * (38.7934265136718750 * x1)))) - exp((exp((-2.6416935920715332)) + ((0.0101619474589825 * x0) * ((-75.6802444458007812) * x0))))))),-0.998667666466396711*x1**2*exp(-2.9640713443683392264*x1**2) + 1.9864134173340489 - 0.996351420879364*exp(-0.81412716147633626667*x1**2) - 1.0699214810013096*exp(-0.769058667741179754*x0**2),saturated,366.287583,43,12,34,8,140,153,65,2,82,(0.0059260418638587 + (0.996351420879364 * (((1.9877398014068604 + ((-1.002324727539394 * (x1 * x1)) * exp((-2.9640713443683393 * (x1 * x1))))) - exp((-0.8141271614763362 * (x1 * x1)))) - exp((0.07124051495942774 + (-0.7690586677411797 * (x0 * x0))))))),saturated,418.838750,32,7,32,7,762,793,204,1,91,(((((-0.9986676664663967 * (x1 ** 2.0)) * exp((-2.9640713443683393 * (x1 ** 2.0)))) + 1.9864134173340489) - (0.996351420879364 * exp((-0.8141271614763362 * (x1 ** 2.0))))) - (1.0699214810013096 * exp((-0.7690586677411797 * (x0 ** 2.0))))) +pagie,139,Operon,Operon,20,1,kept,14.0,8.0,((-0.0000002506655221) + (1.0000001192092896 * (((((-0.0002352308656555) * x0) + 1.9712915420532227) - (exp((((-0.0005102988216095) * x1) * (2861.8625488281250000 * x1))) * (1.0045522451400757 + ((0.0003667365817819 * x1) * (3236.1384277343750000 * x1))))) + (exp((((-0.0249317195266485) * x0) * (58.4497108459472656 * x0))) * ((-1.0050251483917236) + (((-0.0338098518550396) * x0) * (35.2732009887695312 * x0))))))),-1.1925818420501513*x0**2*exp(-1.45725179722486209*x0**2) - 0.0002352308936972044*x0 - 1.1868104866391750118*x1**2*exp(-1.4604050862753523738*x1**2) + 1.9712915263839649 - 1.0045523648920352*exp(-1.4604050862753523738*x1**2) - 1.0050252682000576*exp(-1.45725179722486209*x0**2),saturated,5213.757334,47,14,35,8,255,270,91,2,84,(-0.00023523089369720438 * (((-8380.240772801997 + x0) + (5045.300249408862 * (exp((-1.4604050862753524 * (x1 * x1))) * ((x1 * x1) + 0.8464303072824536)))) + (5069.835102464369 * (exp((-1.4572517972248622 * (x0 * x0))) * ((x0 * x0) + 0.842730647711634))))),saturated,3099.478417,49,10,35,8,813,843,221,2,100,((((exp((-1.4572517972248622 * (x0 ** 2.0))) * (-1.0050252682000576 + (-1.1925818420501513 * (x0 ** 2.0)))) + (-0.0002352308936972044 * x0)) + 1.971291526383965) + (exp((-1.4604050862753524 * (x1 ** 2.0))) * (-1.0045523648920351 + (-1.186810486639175 * (x1 ** 2.0))))) +pagie,143,Operon,Operon,24,1,kept,13.0,9.0,(0.0049892361275852 + (0.9968150258064270 * (exp(((-0.7375680804252625) / (exp((((-7.8003888130187988) * x1) * ((-0.0912654846906662) * x1))) - 0.9434194564819336))) - (exp(((((-11.2235412597656250) * x0) * (0.0819300860166550 * x0)) - (exp(((((-56.8530616760253906) * x0) * (0.1006406396627426 * x0)) - 1.4147840738296509)) - 0.2206120193004608))) - 0.9837305545806885)))),-1.242868435105807*exp(-0.919545700824074031*x0**2 - 0.24297807310963717*exp(-5.72172849386055215*x0**2)) + 0.985586634278505 + 0.996815025806427*exp(-0.7375680804252625/(exp(0.71190626579581106*x1**2) - 0.9434194564819336)),saturated,292.452750,41,13,33,9,125,141,71,2,84,(0.996815025806427 * (0.9887357320694095 + (exp((-0.7375680804252625 / (exp((0.7119062657958111 * (x1 * x1))) + -0.9434194564819336))) - exp(((-0.919545700824074 * (x0 * x0)) - (exp(((-5.721728493860552 * (x0 * x0)) + -1.4147840738296509)) + -0.2206120193004608)))))),saturated,299.290375,33,9,33,9,191,210,92,2,96,(((-1.242868435105807 * exp(((-0.919545700824074 * (x0 ** 2.0)) + (-0.24297807310963718 * exp((-5.721728493860552 * (x0 ** 2.0))))))) + 0.985586634278505) + (0.996815025806427 * exp((-0.7375680804252625 / (exp((0.7119062657958111 * (x1 ** 2.0))) + -0.9434194564819336))))) +pagie,142,Operon,Operon,23,1,kept,13.0,8.0,(0.0007810645620339 + (0.9995014071464539 * (((((-1.0057448148727417) + ((0.7655488848686218 * x0) * ((-1.5458080768585205) * x0))) * exp(((0.4586827158927917 * x0) * ((-3.1686115264892578) * x0)))) + (2.9749636650085449 + exp(((-0.3110347986221313) + ((3.0109248161315918 * x1) * ((-1.1550782918930054) * x1)))))) - exp(exp(((23.0867309570312500 * x1) * ((-0.0377156287431717) * x1))))))),-1.1828016188405823*x0**2*exp(-1.4533873405792973*x0**2) - 0.9995014071464539*exp(exp(-0.870730573668879675*x1**2)) + 2.9742614339476462 + 0.7323230656900827*exp(-3.4778538936355404*x1**2) - 1.0052433576955551*exp(-1.4533873405792973*x0**2),saturated,360.510416,45,13,37,9,151,166,74,2,90,(0.0007810645620339 + (0.9995014071464539 * ((((-1.0057448148727417 + (-1.1833916494599492 * (x0 * x0))) * exp((-1.4533873405792972 * (x0 * x0)))) + (2.974963665008545 + exp((-0.3110347986221313 + (-3.4778538936355403 * (x1 * x1)))))) - exp(exp((-0.8707305736688796 * (x1 * x1))))))),saturated,4766.418708,42,9,35,8,671,698,187,2,99,((((exp((-1.4533873405792972 * (x0 ** 2.0))) * (-1.005243357695555 + (-1.1828016188405823 * (x0 ** 2.0)))) + (-0.9995014071464539 * exp(exp((-0.8707305736688796 * (x1 ** 2.0)))))) + 2.974261433947646) + (0.7323230656900827 * exp((-3.4778538936355403 * (x1 ** 2.0))))) +pagie,137,Operon,Operon,18,1,kept,14.0,7.0,(0.0000816054744064 + (1.0001157522201538 * (((((-0.0021946807391942) * x0) * (13.7494821548461914 * x0)) + (-8.4071483612060547)) + ((log((((6955.1982421875000000 * x1) * (16.8089103698730469 * x1)) + 27880.0878906250000000)) + log((((85251.5703125000000000 * x0) * (3.5084772109985352 * x0)) + 63949.3125000000000000))) * (((1.2129596471786499 * x1) * ((-0.0008703975472599) * x1)) + 0.3835373818874359))))),-0.0301792165661435915*x0**2 - 1.0001157522201538*(0.0010557571018295306*x1**2 - 0.3835373818874359)*(log(299103.191643245522053*x0**2 + 63949.3125) + log(116909.30385762825625*x1**2 + 27880.087890625)) - 8.4080399018196203,saturated,14807.595250,45,14,31,7,74,83,42,2,74,(-0.0010558793080580105 * ((((24.277697647852335 + log(((x1 * x1) + 0.23847621165016322))) + log(((x0 * x0) + 0.213803510917648))) * ((x1 * x1) + -363.2818393765012)) + (28.582070257300217 * (278.60365040927337 + (x0 * x0))))),saturated,800.991250,35,9,31,7,226,247,100,2,90,(((-0.030179216566143592 * (x0 ** 2.0)) - ((0.0010558793080580105 * ((x1 ** 2.0) - 363.2818393765012)) * ((24.277697647852335 + log(((x1 ** 2.0) + 0.23847621165016322))) + log(((x0 ** 2.0) + 0.213803510917648))))) - 8.40803990181962) +pagie,145,Operon,Operon,26,1,kept,12.0,8.0,((-0.0001599656243343) + (1.0001020431518555 * ((exp(((25.9337768554687500 * x1) * ((-0.1575351804494858) * x1))) - (exp(exp(exp(((17.7164573669433594 * x1) * ((-0.0314616635441780) * x1))))) * 0.1594999134540558)) - ((-1.1739871501922607) - (exp((exp((((-0.3572374880313873) * x0) * (3.2828271389007568 * x0))) * (-1.7236351966857910))) * 1.2407730817794800))))),-0.15951618932794533*exp(exp(exp(-0.557389220873545688*x1**2))) + 1.1739469819169699 + 1.2408996941754822*exp(-1.723635196685791*exp(-1.1727489207421725*x0**2)) + 1.0001020431518555*exp(-4.08548221666296794*x1**2),saturated,524.113875,41,12,33,8,236,252,92,2,79,(1.0001020431518555 * ((1.1738272008896573 + (exp((-4.085482216662968 * (x1 * x1))) + (-0.1594999134540558 * exp(exp(exp((-0.5573892208735457 * (x1 * x1)))))))) + (exp((exp((-1.1727489207421724 * (x0 * x0))) * -1.723635196685791)) * 1.24077308177948))),saturated,316.884625,33,8,33,8,471,492,134,1,91,((((-0.15951618932794534 * exp(exp(exp((-0.5573892208735457 * (x1 ** 2.0)))))) + 1.17394698191697) + (1.2408996941754822 * exp((-1.723635196685791 * exp((-1.1727489207421724 * (x0 ** 2.0))))))) + (1.0001020431518555 * exp((-4.085482216662968 * (x1 ** 2.0))))) +pagie,144,Operon,Operon,25,1,kept,13.0,7.0,((-0.0000055456266637) + (1.0000027418136597 * ((((exp((((-4.2250251770019531) * x1) * (1.4258037805557251 * x1))) + exp((((-1.1716369390487671) * x0) * (5.2204809188842773 * x0)))) * 0.2746707499027252) - (-1.9792732000350952)) - ((exp((((-1.7990413904190063) * x1) * (0.5140095949172974 * x1))) + exp(((1.8088867664337158 * x0) * ((-0.5105684995651245) * x0)))) * 1.2522673606872559)))),1.9792730812067276 + 0.2746715029987392*exp(-6.0240568703125063*x1**2) - 1.252270794171011*exp(-0.92472453632872492*x1**2) + 0.2746715029987392*exp(-6.1165082841640697*x0**2) - 1.252270794171011*exp(-0.92356060222127209*x0**2),saturated,427.607125,45,13,33,7,158,168,60,2,76,(0.2746715029987392 * ((7.205964432414428 + (exp((-6.024056870312506 * (x1 * x1))) + exp((-6.11650828416407 * (x0 * x0))))) + (-4.559158050614224 * (exp((-0.9247245363287249 * (x1 * x1))) + exp((-0.9235606022212721 * (x0 * x0))))))),saturated,5349.019417,37,9,33,7,173,186,71,2,92,((-1.252270794171011 * (exp((-0.9235606022212721 * (x0 ** 2.0))) + exp((-0.9247245363287249 * (x1 ** 2.0))))) + (0.2746715029987392 * (exp((-6.11650828416407 * (x0 ** 2.0))) + (exp((-6.024056870312506 * (x1 ** 2.0))) + 7.205964432414428)))) +pagie,147,Operon,Operon,28,1,kept,13.0,7.0,((-0.0000072608104347) + (1.0000052452087402 * (((-1.2524669170379639) * (exp((((-0.8438813686370850) * x0) * (1.0945762395858765 * x0))) + (exp((((-0.6344506740570068) * x1) * (1.4577195644378662 * x1))) + (-1.5802922248840332)))) + (0.2748360037803650 * (exp(((19.0184898376464844 * x0) * ((-0.3212499320507050) * x0))) + exp((((-0.8187244534492493) * x1) * (7.3472332954406738 * x1)))))))),1.9792668517605557 + 0.27483744535257415*exp(-6.0153595641737924*x1**2) - 1.252473486488384*exp(-0.92485116024369056*x1**2) + 0.27483744535257415*exp(-6.10968856805095664*x0**2) - 1.252473486488384*exp(-0.92369249513936332*x0**2),saturated,397.375208,45,13,33,7,158,168,60,2,76,(-1.252473486488384 * ((-1.5802864277070765 + (exp((-0.9236924951393632 * (x0 * x0))) + exp((-0.9248511602436906 * (x1 * x1))))) + (-0.2194357392132493 * (exp((-6.109688568050957 * (x0 * x0))) + exp((-6.015359564173792 * (x1 * x1))))))),saturated,2251.142250,37,9,33,7,173,186,71,2,92,((-1.252473486488384 * (exp((-0.9236924951393634 * (x0 ** 2.0))) + exp((-0.9248511602436905 * (x1 ** 2.0))))) + (0.27483744535257415 * (exp((-6.109688568050957 * (x0 ** 2.0))) + (exp((-6.015359564173792 * (x1 ** 2.0))) + 7.201590923032561)))) +pagie,149,Operon,Operon,30,1,kept,13.0,7.0,((-0.0166908428072929) + (1.0103557109832764 * ((-1.0929064750671387) * ((((-1.8171284198760986) + exp(((0.4634887576103210 * x0) * ((-1.7064006328582764) * x0)))) + ((exp((((-0.0545985996723175) * x1) * (290.8274841308593750 * x1))) + exp((((-6.8895225524902344) * x0) * (4.0632553100585938 * x0)))) * (-0.0849393755197525))) + exp((((-0.0165483560413122) * x1) * (47.9090309143066406 * x1))))))),1.9898265121958887 + 0.093792122361465658*exp(-15.87877337976806101*x1**2) - 1.1042242986546854*exp(-0.7928157011641792664*x1**2) + 0.093792122361465658*exp(-27.993889095174382*x0**2) - 1.1042242986546854*exp(-0.79089750930894803*x0**2),saturated,323.268959,45,13,33,7,148,158,58,2,76,(-1.1042242986546853 * (((-1.802012973831642 + exp((-0.790897509308948 * (x0 * x0)))) + exp((-0.7928157011641793 * (x1 * x1)))) + ((exp((-15.878773379768061 * (x1 * x1))) + exp((-27.99388909517438 * (x0 * x0)))) * -0.0849393755197525))),saturated,1357.108833,37,9,33,7,173,186,71,2,92,((-1.1042242986546853 * (exp((-0.790897509308948 * (x0 ** 2.0))) + exp((-0.7928157011641793 * (x1 ** 2.0))))) + (0.09379212236146565 * (exp((-27.99388909517438 * (x0 ** 2.0))) + (exp((-15.878773379768061 * (x1 ** 2.0))) + 21.21528399290606)))) +pagie,150,SBP,SBP,1,1,kept,5.0,2.0,0.004376-0.000000*((((exp(4.787000)+((exp(x1)-exp(((x0-(x0*x0))+(15.039000-x1))))*x1))*15.260000)*(exp(x0)*x1))),0.00437600000000000,saturated,405.280875,29,5,1,1,3,4,3,2,6,0.004376,saturated,274.399708,1,1,1,1,3,4,3,1,6,0.004376 +pagie,151,SBP,SBP,2,1,kept,5.0,2.0,0.166642-0.018385*(((((x0*x1)+((((-5.488000+x1)*(x1+0.546000))+x1)*x1))+(x0*x0))+exp((-13.828000*x0)))),-0.018385*x0**2 - 0.018385*x0*x1 - 0.018385*x1**3 + 0.07247367*x1**2 + 0.05508969648*x1 + 0.166642 - 0.018385*exp(-13.828*x0),saturated,287.218250,28,5,26,5,168,179,64,2,59,(0.166642 - (0.018385 * (((x1 * (x0 + (((-5.488 + x1) * (x1 + 0.546)) + x1))) + (x0 * x0)) + exp((-13.828 * x0))))),saturated,3900.609667,36,8,28,5,1563,1586,308,2,74,(((-0.018385 * ((x1 * (-2.996448 + x0)) + ((exp((-13.828 * x0)) + (x1 ** 3.0)) + (x0 ** 2.0)))) + 0.166642) + (0.07247367 * (x1 ** 2.0))) +pagie,133,Operon,Operon,14,1,kept,13.0,8.0,(0.0049303476698697 + (0.9968529939651489 * ((((exp((((-0.1228989660739899) * x1) * (28.5782623291015625 * x1))) - (0.0001418351894245 * x0)) - exp((((-0.9014899730682373) * x1) * (0.9040312170982361 * x1)))) - exp((((-0.1503573954105377) * x1) * (16.6330261230468750 * x1)))) + (((-1.0727374553680420) * exp((((-0.1865450739860535) * x0) * (4.1227397918701172 * x0)))) - (-1.9877362251281738))))),-0.0001413888332274268*x0 + 1.986411154901873 + 0.9968529939651489*exp(-3.51223889243783649*x1**2) - 0.9968529939651489*exp(-2.50089848565676186*x1**2) - 0.9968529939651489*exp(-0.814975077554734653*x1**2) - 1.069361544122188*exp(-0.76907679949965783*x0**2),saturated,306.696875,47,13,37,8,113,124,57,2,86,(0.9968529939651489 * ((1.9926821376144859 + (-1.072737455368042 * exp((-0.7690767994996578 * (x0 * x0))))) + (((exp((-3.5122388924378365 * (x1 * x1))) + (-0.0001418351894245 * x0)) - exp((-0.8149750775547346 * (x1 * x1)))) - exp((-2.5008984856567618 * (x1 * x1)))))),saturated,28319.784375,41,10,37,8,456,479,136,2,102,((-0.9968529939651489 * (exp((-0.8149750775547346 * (x1 ** 2.0))) - ((exp((-3.5122388924378365 * (x1 ** 2.0))) - ((0.00014183518942449994 * x0) - 1.9926821376144856)) - exp((-2.5008984856567618 * (x1 ** 2.0)))))) - (1.069361544122188 * exp((-0.7690767994996578 * (x0 ** 2.0))))) +pagie,153,SBP,SBP,4,1,kept,3.0,3.0,-0.000465+0.164361*(exp((x0*(2.011000-x0)))),0.164361*exp(-x0**2 + 2.011*x0) - 0.000465,saturated,287.972583,10,3,10,3,33,38,21,1,27,(-0.000465 + (0.164361 * exp((x0 * (2.011 - x0))))),saturated,315.215250,14,4,12,3,49,58,34,2,34,((0.164361 * exp(((2.011 * x0) - (x0 ** 2.0)))) - 0.000465) +pagie,148,Operon,Operon,29,1,kept,13.0,7.0,((-0.0000072977472882) + (1.0000039339065552 * ((0.2748106420040131 * (exp(((0.8403434157371521 * x1) * ((-7.1597433090209961) * x1))) + exp(((2.1294348239898682 * x0) * ((-2.8703227043151855) * x0))))) - ((-1.9792662858963013) + (1.2524309158325195 * (exp(((1.7403106689453125 * x1) * ((-0.5314179658889771) * x1))) + exp(((0.6934723854064941 * x0) * ((-1.3319598436355591) * x0))))))))),1.9792667743976297 + 0.27481172308339912*exp(-6.016643148103924*x1**2) - 1.2524358427787092*exp(-0.92483235570580301*x1**2) + 0.27481172308339912*exp(-6.1121651226575295*x0**2) - 1.2524358427787092*exp(-0.92367737003161206*x0**2),saturated,384.414416,45,13,33,7,158,168,60,2,76,(0.27481172308339913 * ((7.202264707597524 + (exp((-6.016643148103924 * (x1 * x1))) + exp((-6.1121651226575295 * (x0 * x0))))) + (-4.557432371247945 * (exp((-0.9248323557058029 * (x1 * x1))) + exp((-0.9236773700316121 * (x0 * x0))))))),saturated,8702.087625,37,9,33,7,173,186,71,2,92,((-1.2524358427787092 * (exp((-0.9236773700316121 * (x0 ** 2.0))) + exp((-0.924832355705803 * (x1 ** 2.0))))) + (0.27481172308339913 * (exp((-6.1121651226575295 * (x0 ** 2.0))) + (exp((-6.016643148103924 * (x1 ** 2.0))) + 7.202264707597526)))) +pagie,155,SBP,SBP,6,1,kept,6.0,1.0,0.012711-0.000000*((x1-(((16.817000*((16.817000*x1)-exp(x1)))-exp(x1))*exp(((19.315000-x0)*(17.099000+x0)))))),0.0127110000000000,saturated,299.134875,26,6,1,1,3,4,3,2,6,0.012711,saturated,246.090375,1,1,1,1,3,4,3,1,6,0.012711 +pagie,146,Operon,Operon,27,1,kept,13.0,6.0,((-0.0639297738671303) + (1.0392827987670898 * ((1.9780735969543457 + ((exp((((-2.4385366439819336) * x1) * (2.2576689720153809 * x1))) * ((((-10.0973072052001953) * x1) * (391.6708374023437500 * x1)) * (((-0.0011133030056953) * x1) * ((-1.3449389934539795) * x1)))) - exp((((-1.7093311548233032) * x1) * (0.4650919437408447 * x1))))) - exp((((-1.2320897579193115) * x0) * (0.5889392495155334 * x0)))))),-6.154269525587394387*x1**4*exp(-5.5054085182405289*x1**2) + 1.9918480901428665 - 1.0392827987670898*exp(-0.79499614929355283*x1**2) - 1.0392827987670898*exp(-0.72562601736477455*x0**2),saturated,1298.449750,48,13,36,7,191,201,61,2,81,(-0.0639297738671303 + (1.0392827987670898 * ((1.9780735969543457 + ((exp((-5.505408518240529 * (x1 * x1))) * (-5.921650519847204 * ((x1 * x1) * (x1 * x1)))) - exp((-0.7949961492935529 * (x1 * x1))))) - exp((-0.7256260173647746 * (x0 * x0)))))),saturated,13317.808167,32,7,30,6,322,344,122,2,84,(((-6.154269525587394 * (x1 ** 4.0)) * exp((-5.505408518240529 * (x1 ** 2.0)))) - (-1.9918480901428666 - (-1.0392827987670898 * (exp((-0.7256260173647745 * (x0 ** 2.0))) + exp((-0.7949961492935528 * (x1 ** 2.0))))))) +pagie,152,SBP,SBP,3,1,kept,5.0,5.0,0.084583-0.012464*((((exp(x1)-(x0*(x1-1.179000)))+x1)+(x1*((-17.342000-(x0*(x1-3.045000)))+(x0*x0))))),0.012464*x0*(x1 - 1.179) + 0.012464*x1*(-x0**2 + x0*(x1 - 3.045) + 17.342) - 0.012464*x1 - 0.012464*exp(x1) + 0.084583,saturated,299.854708,28,5,28,5,183,196,73,1,62,(0.084583 - (0.012464 * (((exp(x1) - (x0 * (x1 - 1.179))) + x1) + (x1 * ((-17.342 - (x0 * (x1 - 3.045))) + (x0 * x0)))))),saturated,5824.929250,36,9,26,5,118,126,46,2,63,(-0.012464 * ((exp(x1) + -6.786184210526317) + ((x1 * (-16.342 + (((3.045 - x1) * x0) + (x0 ** 2.0)))) + ((1.179 - x1) * x0)))) +pagie,158,SBP,SBP,9,1,kept,6.0,4.0,-0.135470+0.008287*((((x1*15.772000)-exp(x1))+exp(((x0-(9.538000-(4.169000-((x0*x0)-((x0+8.367000)+x1)))))-x1)))),0.130702564*x1 - 0.008287*exp(x1) + 0.16611627946936*exp(-x0**2 + 2*x0) - 0.13547,saturated,362.140750,29,6,25,4,81,88,39,2,53,(-0.13547 + (0.008287 * (((x1 * 15.772) - exp(x1)) + exp(((((x0 + 2.998) - ((x0 * x0) - x0)) + x1) - x1))))),saturated,605.834625,23,6,21,5,698,728,196,2,55,((((0.130702564 * x1) - (0.008287 * exp(x1))) + (0.16611627946936 * exp(((2.0 * x0) - (x0 ** 2.0))))) - 0.13547) +pagie,157,SBP,SBP,8,1,kept,4.0,3.0,0.230781+0.006661*((((x1*x1)*(x0-x1))-((((x0*x0)-(19.670000+x0))+4.294000)*((x1+x0)-(x0*x0))))),0.006661*x1**2*(x0 - x1) + 0.006661*(-x0**2 + x0 + 15.376)*(-x0**2 + x0 + x1) + 0.230781,saturated,289.366375,29,4,27,3,57,63,31,2,53,(0.230781 + (0.006661 * (((x1 * x1) * (x0 - x1)) - ((-15.376000000000001 + ((x0 * x0) - x0)) * ((x1 + x0) - (x0 * x0)))))),saturated,2840.663209,33,6,27,3,64,71,34,2,65,((0.006661 * (((x0 - x1) * (x1 ** 2.0)) + (((x0 - (x0 ** 2.0)) + x1) * ((x0 - (x0 ** 2.0)) + 15.376)))) + 0.230781) +pagie,159,SBP,SBP,10,1,kept,6.0,5.0,0.154306-0.001732*((((-20.410000+(((exp(11.767000)*(x0+(x0+(x0+x1))))*(-1.883000+x0))*exp((-7.374000-x0))))*x0)-x1)),(-0.001732*x0*(0.000627353738614736*(x0 - 1.883)*(386780.368892305*x0 + 128926.789630768*x1) - 20.41*exp(x0)) + (0.001732*x1 + 0.154306)*exp(x0))*exp(-x0),saturated,354.581417,29,6,28,6,215,231,85,2,66,(0.154306 - (0.001732 * (((-20.41 + (((128926.78963076824 * (x0 + (x0 + (x0 + x1)))) * (-1.883 + x0)) * exp((-7.374 - x0)))) * x0) - x1))),saturated,5668.998708,36,9,32,7,164,175,66,2,75,((((0.03535012 * x0) * (exp(x0) + ((-11.888687430052634 * (x0 + -1.883)) * (x0 + (0.3333333333333325 * x1))))) + ((0.001732 * (x1 + 89.09122401847574)) * exp(x0))) * exp((-1.0 * x0))) +pagie,161,SBP,SBP,12,1,kept,6.0,5.0,0.667683-0.006309*((((x0*x0)-(x0-exp(exp((exp(((exp(x1)+0.069000)-x1))*(-0.069000))))))*((-6.657000+x0)*(-6.908000+x0)))),-0.006309*(x0 - 6.908)*(x0 - 6.657)*(x0**2 - x0 + exp(exp(-0.0739290984312359*exp(-x1 + exp(x1))))) + 0.667683,saturated,321.502334,29,6,29,6,183,195,68,2,66,(0.667683 - (0.006309 * ((((x0 * x0) - x0) + exp(exp((exp(((exp(x1) + 0.069) - x1)) * -0.069)))) * ((-6.657 + x0) * (-6.908 + x0))))),saturated,562.083250,29,6,27,5,121,130,50,2,63,((((-0.006309 * (x0 + -6.908)) * (x0 + -6.657)) * (((x0 ** 2.0) - x0) + exp(exp((-0.0739290984312359 * exp((exp(x1) - x1))))))) + 0.667683) +pagie,160,SBP,SBP,11,1,kept,5.0,4.0,-0.056784-0.009562*((((-18.680000-((x0+(((x0+x0)-(x0*x0))-16.065000))+x0))+x0)*((x1+8.713000)-(x0*x0)))),0.009562*(-x0**2 + 3*x0 + 2.615)*(-x0**2 + x1 + 8.713) - 0.056784,saturated,541.907375,29,5,27,4,98,108,50,2,57,(-0.056784 - (0.009562 * (((((-2.6149999999999984 - ((x0 + x0) - (x0 * x0))) - x0) - x0) + x0) * ((x1 + 8.713) - (x0 * x0))))),saturated,5364.551958,25,7,21,5,84,98,53,2,60,(((0.009562 * ((3.0 * (x0 - -0.8716666666666667)) - (x0 ** 2.0))) * ((x1 - (x0 ** 2.0)) - -8.713)) - 0.056784) +pagie,154,SBP,SBP,5,1,kept,8.0,7.0,0.018176+0.001712*((((((-8.935000*x0)+18.954000)*((x0*(x0-5.120000))*(x0-4.881000)))+x1)-((x1*18.328000)*(x1-4.881000)))),-0.001712*x0*(x0 - 5.12)*(x0 - 4.881)*(8.935*x0 - 18.954) - 0.031377536*x1*(x1 - 4.881) + 0.001712*x1 + 0.018176,saturated,618.034292,29,8,29,8,569,585,123,2,76,(0.018176 + (0.001712 * (((((-8.935 * x0) + 18.954) * ((x0 * (x0 + -5.12)) * (x0 + -4.881))) + x1) + (-18.328 * ((x1 + -4.881) * x1))))),saturated,13993.262375,31,9,25,7,494,507,102,2,66,(((x1 * (-0.031377536 * (-4.935561326931471 + x1))) + (((-0.015296720000000001 * ((x0 + -2.1213206491326244) * x0)) * (x0 + -5.12)) * (x0 + -4.881))) + 0.018176) +pagie,163,SBP,SBP,14,1,kept,5.0,4.0,0.001352+0.001458*((exp(((x0+(x0+2.705000))-(x0*x0)))*((exp(-11.964000)-(((x1+x1)-10.429000)*x1))-x1))),(-0.021803393734787*x1*(2*x1 - 10.429) - 0.021803393734787*x1 + 0.001352*exp(x0*(x0 - 2)) + 1.38875269916455e-7)*exp(x0*(2 - x0)),saturated,475.411250,27,5,26,5,80,88,41,2,59,(0.001352 + (0.001458 * (exp(((x0 + (x0 + 2.705)) - (x0 * x0))) * ((6.369433658159443e-06 - (((x1 + x1) + -10.429) * x1)) - x1)))),saturated,2987.053666,31,8,25,6,175,187,68,2,61,((((x1 * (-0.043606787469574 * (-4.7145 + x1))) + (0.001352 * exp((x0 * (x0 + -2.0))))) + 1.38875269916455e-07) * exp((x0 * (2.0 - x0)))) +pagie,156,SBP,SBP,7,1,kept,3.0,3.0,0.112902-0.007452*(((((x0*(x1*x0))+((((x0-x1)+x0)*x0)+(x1*(-20.819000))))-(x0-exp(x1)))+x1)),-0.007452*x0**2*x1 - 0.007452*x0*(2*x0 - x1) + 0.007452*x0 + 0.147691188*x1 - 0.007452*exp(x1) + 0.112902,saturated,316.557167,28,3,26,3,148,157,58,2,51,(0.007452 * ((((15.150563607085346 - (x0 * ((x1 * x0) + ((x0 - x1) + x0)))) - (x1 * -20.819)) + (x0 - exp(x1))) - x1)),saturated,16173.561166,32,7,24,4,101,107,37,2,56,(-0.007452 * ((exp(x1) + ((x1 * (-19.819 + (x0 ** 2.0))) + (((2.0 * x0) - x1) * x0))) + (-15.150563607085346 - x0))) +pagie,165,SBP,SBP,16,1,kept,5.0,4.0,0.040499-0.003093*((x0-exp((((((((exp(1.871000)-1.708000)+(x1*(-1.785000)))+x1)*x1)+(x0-x1))-(x0*x0))+x0)))),-0.003093*x0 + 0.003093*exp(-x0**2 + 2*x0 - 0.785*x1**2 + 3.78678794091585*x1) + 0.040499,saturated,506.637000,29,5,26,4,98,109,52,2,55,(0.040499 - (0.003093 * (x0 - exp(((((((4.7867879409158505 + (x1 * -1.785)) + x1) * x1) + (x0 - x1)) - (x0 * x0)) + x0))))),saturated,3844.703708,28,7,24,5,91,101,48,2,64,((-0.003093 * (x0 - exp(((((2.0 * x0) - (x0 ** 2.0)) + (-0.785 * (x1 ** 2.0))) + (3.78678794091585 * x1))))) + 0.040499) +pagie,166,SBP,SBP,17,1,kept,4.0,4.0,-0.065845-0.048266*(((x0-(x1+x1))-(x1+((x1+(x1+((3.579000-x0)*((3.247000-x0)*x0))))-(x1*x1))))),0.048266*x0*(x0 - 3.579)*(x0 - 3.247) - 0.048266*x0 - 0.048266*x1**2 + 0.24133*x1 - 0.065845,saturated,476.822000,29,4,29,4,456,466,92,2,60,(-0.065845 - (0.048266 * ((((x0 - x1) - x1) - x1) - ((x1 + (x1 + ((3.579 - x0) * ((3.247 - x0) * x0)))) - (x1 * x1))))),saturated,2485.784917,27,7,23,5,95,107,52,2,59,(-0.048266 * ((-4.999999999999999 * (x1 - 0.2728421663282642)) - (((((x0 - 3.247) * (x0 - 3.579)) * x0) - (x1 ** 2.0)) - x0))) +pagie,168,SBP,SBP,19,1,kept,5.0,5.0,0.012782+0.160826*((exp(((x0*x0)-exp(x0)))*((x0-(((-13.585000-x0)+exp((2.825000-(x1*x1))))*x0))+2.825000))),((0.160826*x0*((x0 + 13.585)*exp(x1**2) - 16.860944986089) + (0.160826*x0 + 0.45433345)*exp(x1**2))*exp(x0**2 - exp(x0)) + 0.012782*exp(x1**2))*exp(-x1**2),saturated,405.550542,28,5,28,5,71,78,38,1,61,(0.012782 + (0.160826 * (exp(((x0 * x0) - exp(x0))) * ((x0 - (((-13.585 - x0) + exp((2.825 - (x1 * x1)))) * x0)) + 2.825)))),saturated,996.679791,47,7,45,6,141,152,64,2,109,((((0.160826 * (((((x0 + 13.585) * exp((x1 ** 2.0))) + -16.860944986089) * x0) + (exp((x1 ** 2.0)) * (x0 + 2.825)))) * exp(((x0 ** 2.0) - exp(x0)))) + (0.012782 * exp((x1 ** 2.0)))) * exp((-1.0 * (x1 ** 2.0)))) +pagie,169,SBP,SBP,20,1,kept,7.0,4.0,0.000053-0.001570*((exp((x0-(x0*x0)))*(exp(x0)*((-10.978000+((15.694000-(exp(x1)+exp(-0.624000)))+(x1*15.599000)))*(-5.236000))))),((0.12823189148*x1 - 0.00822052*exp(x1) + 0.0343634427135555)*exp(x0) + 5.3e-5*exp(x0*(x0 - 1)))*exp(x0*(1 - x0)),saturated,600.169541,29,7,24,5,190,202,68,2,55,(5.3e-05 - ((-0.00822052 * (exp((x0 - (x0 * x0))) * (-10.978 + ((15.158203042332545 - exp(x1)) + (x1 * 15.599))))) * exp(x0))),saturated,383.544500,29,6,29,6,318,335,111,2,66,((((((0.12823189148 * x1) + (-0.00822052 * exp(x1))) + 0.0343634427135555) * exp(x0)) + (5.3e-05 * exp((x0 * (x0 + -1.0))))) * exp((x0 * (1.0 - x0)))) +pagie,170,SBP,SBP,21,1,kept,4.0,4.0,0.028119+0.006351*(exp((((x0+x0)-(x0*x0))-(((x1+x0)+(-4.674000-x0))*((x0-(x1*(-0.703000)))-x0))))),0.006351*exp(-x0**2 + 2*x0 - 0.703*x1**2 + 3.285822*x1) + 0.028119,saturated,292.899250,28,4,28,4,70,77,37,2,58,(0.028119 + (0.006351 * exp((((x0 + x0) - (x0 * x0)) - (((x1 + x0) + (-4.674 - x0)) * ((x0 + (0.703 * x1)) - x0)))))),saturated,2919.336000,24,6,22,5,89,99,47,2,61,((0.006351 * exp(((((2.0 * x0) - (x0 ** 2.0)) + (-0.703 * (x1 ** 2.0))) + (3.285822 * x1)))) + 0.028119) +pagie,167,SBP,SBP,18,1,kept,5.0,3.0,-8343620.960004+0.024527*((x0-((x0*x0)+(((20.791000-(x0-(x1*x0)))+((x1*x1)*(x1-4.494000)))-exp(19.645000))))),-0.024527*x0**2 - 0.024527*x0*x1 + 0.049054*x0 + x1**2*(0.110224338 - 0.024527*x1) + 94.8131869230419,saturated,467.621459,28,5,21,3,56,61,27,2,44,(0.024527 * ((3865.6658752646445 + ((x0 - (x0 * (x0 + x1))) - ((x1 * x1) * (x1 + -4.494)))) + x0)),saturated,7008.125250,27,6,21,4,60,67,33,2,56,((0.024527 * (((x1 ** 2.0) * (4.494 - x1)) + (((2.0 - x1) * x0) - (x0 ** 2.0)))) + 94.8131869230419) +pagie,173,SBP,SBP,24,1,kept,5.0,4.0,0.036923-0.004153*((((((x1*(-2.331000))+(14.536000-4.614000))*x1)*(x1*(-7.835000+x1)))*exp(((x0+(x0+x0))-exp(x0))))),0.004153*x1**2*(x1 - 7.835)*(2.331*x1 - 9.922)*exp(3*x0 - exp(x0)) + 0.036923,saturated,816.062208,29,6,25,4,565,575,96,2,53,(0.036923 - ((((-0.009680643 * (x1 * x1)) * (x1 + -4.256542256542257)) * (-7.835 + x1)) * exp(((x0 + (x0 + x0)) - exp(x0))))),saturated,431.225208,25,6,23,5,257,266,61,2,58,((((0.009680643 * ((x1 + -4.256542256542257) * (x1 ** 2.0))) * (x1 + -7.835)) * exp(((3.0 * x0) - exp(x0)))) + 0.036923) +pagie,164,SBP,SBP,15,1,kept,6.0,5.0,1.139001+0.010850*(((((x0*x0)-(-6.659000+x0))*(-12.488000+x0))-((13.571000-(exp(x0)-x0))-((x1*14.814000)-exp(x1))))),0.01085*x0**3 - 0.1463448*x0**2 + 0.19689495*x0 + 0.1607319*x1 + 0.01085*exp(x0) - 0.01085*exp(x1) + 0.0894957768,saturated,647.748500,29,6,27,5,108,115,42,2,60,(0.01085 * ((91.40605069124423 + ((exp(x0) - x0) + ((((x0 * x0) + 6.659) - x0) * (-12.488 + x0)))) + ((x1 * 14.814) - exp(x1)))),saturated,12675.696916,31,7,27,5,452,470,120,2,68,(((-0.01085 * (exp(x1) + ((((-18.147000000000002 * x0) - exp(x0)) - (x0 ** 3.0)) + (13.488 * (x0 ** 2.0))))) + (0.1607319 * x1)) + 0.0894957768) +pagie,174,SBP,SBP,25,1,kept,5.0,4.0,0.015024+291401.986945*((((exp((-17.803000+x0))*((x1-6.944000)*x1))*(((x1-5.300000)*x1)+x1))*exp((x0-(x0*x0))))),(0.00540440450573385*x1**2*(x1 - 6.944)*(x1 - 4.3)*exp(x0) + 0.015024*exp(x0*(x0 - 1)))*exp(x0*(1 - x0)),saturated,448.326584,29,5,29,5,720,728,100,2,63,(0.015024 + (291401.986945 * (((exp((-17.803 + x0)) * ((x1 + -6.944) * x1)) * (((x1 + -5.3) * x1) + x1)) * exp((x0 - (x0 * x0)))))),saturated,360.147917,32,6,32,6,450,461,93,2,75,((((((0.00540440450573385 * (x1 ** 2.0)) * (x1 + -6.944)) * (x1 + -4.3)) * exp(x0)) + (0.015024 * exp((x0 * (x0 + -1.0))))) * exp((x0 * (1.0 - x0)))) +pagie,176,SBP,SBP,27,1,kept,6.0,4.0,-0.000040+0.007900*(((((((x1+2.278000)*15.139000)-(exp(x1)-(-18.519000-2.538000)))-9.513000)+x1)*exp(((x0+x0)-(x0*x0))))),(0.1274981*x1 - 0.0079*exp(x1) - 4.0e-5*exp(x0*(x0 - 2)) + 0.0309414718)*exp(x0*(2 - x0)),saturated,302.205625,29,7,25,5,81,89,41,2,57,(-4e-05 + (0.0079 * (((((15.139 * (0.88708910760288 + x1)) - exp(x1)) + -9.513) + x1) * exp(((x0 + x0) - (x0 * x0)))))),saturated,487.719750,26,6,26,6,560,580,146,2,62,(((((0.1274981 * x1) + (-0.0079 * exp(x1))) + (-4e-05 * exp((x0 * (x0 + -2.0))))) + 0.0309414718) * exp((x0 * (2.0 - x0)))) +pagie,172,SBP,SBP,23,1,kept,4.0,4.0,0.008754-0.000016*((exp(x1)+((exp(x1)-exp(((10.503000-(exp(exp(((0.239000-x1)*x1)))+(x0*x0)))+x0)))*exp(x0)))),-1.6e-5*exp(x1) - 1.6e-5*exp(x0 + x1) + 0.582793804249181*exp(-x0**2 + 2*x0 - exp(exp(-x1**2 + 0.239*x1))) + 0.008754,saturated,412.020750,29,4,29,4,96,106,52,2,57,(0.008754 - (1.6e-05 * (exp(x1) + ((exp(x1) - exp((((10.503 - exp(exp(((0.239 - x1) * x1)))) - (x0 * x0)) + x0))) * exp(x0))))),saturated,13531.552500,38,8,32,5,182,193,68,2,74,(((-1.6e-05 * (exp(x1) + exp((x0 + x1)))) + (0.582793804249181 * exp((((2.0 * x0) - (x0 ** 2.0)) - exp(exp(((0.239 * x1) - (x1 ** 2.0)))))))) + 0.008754) +pagie,178,SBP,SBP,29,1,kept,6.0,6.0,0.105238-0.004516*((x0-(((x0*(((x1-5.432000)*x1)+x1))*((x0-x1)-3.749000))*(exp((2.638000-x0))-1.033000)))),(0.004516*x0*x1*(x1 - 4.432)*(1.033*exp(x0) - 13.9852052082504)*(-x0 + x1 + 3.749) + (0.105238 - 0.004516*x0)*exp(x0))*exp(-x0),saturated,235.400209,28,6,28,6,154,169,70,1,66,(0.105238 - (0.004516 * (x0 - (((x0 * (((x1 - 5.432) * x1) + x1)) * ((x0 - x1) - 3.749)) * (exp((2.638 - x0)) - 1.033))))),saturated,2129.606875,38,9,34,7,777,788,125,2,78,((((((0.004665028 * ((exp(x0) + -13.538436794046856) * x0)) * x1) * (x1 + -4.432)) * ((x1 - x0) + 3.749)) + ((0.004516 * (23.303365810451727 - x0)) * exp(x0))) * exp((-1.0 * x0))) +pagie,175,SBP,SBP,26,1,kept,6.0,2.0,-0.068550+0.001527*(((x0*exp(((x0+5.699000)-(x0*x0))))+((9.142000+(exp(3.890000)-(exp(x1)-exp((x0*(-16.248000))))))*x1))),0.455914378864642*x0*exp(-x0**2 + 1.0*x0) - 0.001527*x1*exp(x1) + 0.0886467577217386*x1 + 0.001527*x1*exp(-16.248*x0) - 0.06855,saturated,269.933583,29,6,28,6,93,102,47,2,65,(-0.06855 + (0.001527 * ((x0 * exp(((x0 + 5.699) - (x0 * x0)))) + ((9.142 + (48.91088652373189 - (exp(x1) - exp((x0 * -16.248))))) * x1)))),saturated,12840.148375,36,8,26,5,238,257,99,2,62,(((x1 * (0.001527 * ((exp((-16.248 * x0)) - exp(x1)) + 58.0528865237319))) - ((-0.455914378864642 * x0) * exp((x0 - (x0 ** 2.0))))) - 0.06855) +pagie,179,SBP,SBP,30,1,kept,7.0,4.0,0.001726+7916541148486.587891*(((((19.413000-x1)-14.742000)*exp(((x0+((x0-14.602000)-20.496000))-(x0*x0))))*((x1+7.517000)*x1))),(-0.004525512279437932278*x1*(x1 - 4.671)*(x1 + 7.517) + 0.001726*exp(x0*(x0 - 2)))*exp(x0*(2 - x0)),saturated,306.795958,28,7,26,6,264,273,63,2,63,(0.001726 + (7916541148486.588 * ((((19.413 - x1) + -14.742) * exp(((x0 + (-35.098 + x0)) - (x0 * x0)))) * ((x1 + 7.517) * x1)))),saturated,274.395791,27,6,27,6,198,208,65,2,64,(((((-0.004525512279437933 * x1) * (x1 + -4.671)) * (x1 + 7.517)) + (0.001726 * exp((x0 * (x0 + -2.0))))) * exp((x0 * (2.0 - x0)))) +pagie,181,SRjl,SRjl,2,1,kept,9.0,8.0,((((exp((x0 / (((x0 * -0.0022067561107765228) * x0) * x0)) * 0.001500675632471371) - exp((x1 * ((0.031646250254694995 / x1) - x1)) * 0.7356976269859291)) / 0.9595286921357497) - ((exp((0.04424753013408821 - 1.2094507170296283) * x0) + (exp(x0) / 0.3577168125819259)) * 9.500013495936925e-5)) - -1.0189821492909057),-0.0002655735811623668*exp(1.0*x0) + 1.0189821492909057 - 1.066727053275426*exp(-0.7356976269859291*x1**2) - 9.500013495936925e-5*exp(-1.1652031868955401*x0) + 1.0421783196229057*exp(-0.68003692168017009/x0**2),saturated,322.310375,41,10,37,8,186,205,93,2,86,((((exp((x0 * (-0.6800369216801702 / ((x0 * x0) * x0)))) - exp(((x1 * ((0.031646250254694995 / x1) - x1)) * 0.7356976269859291))) / 0.9595286921357497) - ((exp((-1.1652031868955401 * x0)) + (exp(x0) / 0.3577168125819259)) * 9.500013495936925e-05)) - -1.0189821492909057),saturated,9608.051292,33,9,31,8,4356,4398,1206,2,85,(((((-0.0002655735811623668 * exp(x0)) + 1.0189821492909057) + (-1.066727053275426 * exp((-0.7356976269859291 * (x1 ** 2.0))))) + (-9.500013495936925e-05 * exp((-1.1652031868955401 * x0)))) + (1.0421783196229057 * exp((-0.68003692168017 / (x0 ** 2.0))))) +pagie,177,SBP,SBP,28,1,kept,6.0,5.0,0.353732-0.011340*(((exp(((4.034000-exp(x0))-(-0.257000+x0)))+(exp(x1)+(((x0-12.363000)-x1)*x1)))+(x0*11.508000))),-0.01134*x0*x1 - 0.13050072*x0 + 0.01134*x1**2 + 0.14019642*x1 - 0.01134*exp(x1) - 0.828267606396439*exp(-x0 - exp(x0)) + 0.353732,saturated,309.334041,28,6,28,6,143,157,69,2,65,(0.01134 * ((((11.508 * (2.7105750834171647 - x0)) - exp(x1)) - (((x0 - 12.363) - x1) * x1)) - exp(((4.034 - exp(x0)) - (-0.257 + x0))))),saturated,21786.738291,36,8,30,6,1052,1077,220,2,72,((((-0.01134 * ((exp(x1) - (x1 ** 2.0)) + (x0 * (x1 + 11.508)))) + (0.14019642 * x1)) + (-0.828267606396439 * exp(((-1.0 * x0) - exp(x0))))) + 0.353732) +pagie,182,SRjl,SRjl,3,1,kept,10.0,5.0,(((exp(((x1 / -1.1526895432904412) * x1) - ((0.1560929128293564 + 0.04873876471741229) + -0.10767615949898787)) * -0.7499061083076463) - -1.1526895432904412) * ((exp((log(x1 * x1) - 78.41442075024227) + 1.0254454456547013) + ((log(x0 * (x0 + 0.0034420466463509335)) - 0.6739116903430199) * 0.1560929128293564)) + 1.4227637491659069)),(1.1526895432904412*exp(0.86753628140446462*x1**2) - 0.68047595810869021)*(2.4569429090028012e-34*x1**2 + 0.1560929128293564*log(x0*(x0 + 0.0034420466463509335)) + 1.3175709104305097)*exp(-0.86753628140446462*x1**2),saturated,294.352250,39,12,31,8,107,122,64,2,77,((-0.7499061083076463 * (exp((((x1 / -1.1526895432904412) * x1) - 0.0971555180477808)) - 1.537111820427464)) * ((0.1560929128293564 * (8.440939992393519 + log((x0 * (x0 + 0.0034420466463509335))))) + exp((-77.38897530458758 + log((x1 * x1)))))),saturated,337.112333,34,8,32,7,147,160,64,2,87,(((2.832092399669127e-34 * (exp((0.8675362814044646 * (x1 ** 2.0))) - 0.5903375822827533)) * (((x1 ** 2.0) + (635313552697525949805350164103168.0 * log((x0 * (x0 + 0.0034420466463509335))))) + 5362643574674154744724234929438720.0)) * exp((-0.8675362814044646 * (x1 ** 2.0)))) +pagie,184,SRjl,SRjl,5,1,kept,10.0,6.0,(((((1.2970116211177067 - exp(0.09432994685391581 - (((x1 * (x0 * x0)) * 0.7382751656820474) / x1))) + (((log((x0 * x0) * (x1 * x1)) + 0.7382751656820474) * -0.0021496742064029224) / 0.4593468932730417)) - exp(0.07743331735052479 - ((x1 * x1) / 1.2970116211177067))) + 0.7157260145245514) / 0.9972373150183798),-0.0046928140002785499*log(x0**2*x1**2) + 2.0148490122804748 - 1.0835035577813302*exp(-0.77100311494375405*x1**2) - 1.1019666587915574*exp(-0.7382751656820474*x0**2),saturated,917.117459,42,10,36,9,111,123,59,2,89,(((((1.2970116211177067 - exp((0.09432994685391581 + (-0.7382751656820474 * (x0 * x0))))) + ((log(((x0 * x0) * (x1 * x1))) + 0.7382751656820474) * -0.004679849233518443)) - exp((0.07743331735052479 - ((x1 * x1) / 1.2970116211177067)))) + 0.7157260145245514) / 0.9972373150183798),saturated,386.232000,30,6,30,6,646,676,184,1,84,((((-0.00469281400027855 * log(((x0 ** 2.0) * (x1 ** 2.0)))) + 2.0148490122804747) - (1.0835035577813301 * exp((-0.7710031149437541 * (x1 ** 2.0))))) - (1.1019666587915573 * exp((-0.7382751656820474 * (x0 ** 2.0))))) +pagie,180,SRjl,SRjl,1,1,kept,12.0,5.0,(((((exp(-5.8345976856156 / ((x1 / 0.24351267979731375) * (x1 + x1))) - ((exp((((x0 / 1.766673822805128) + x0) * -0.49092178828863786) * x0) + (((((exp(x1) + x1) * -0.008401864666152042) * x1) / 0.9570866462661449) * -0.008401864666152042)) + 0.2591798019283134)) + 1.310080342754076) * 1.059245011980159) - 0.12992279845402313) + 0.020457225936674983),-7.8126170022109049e-5*x1**2 - 7.8126170022109049e-5*x1*exp(x1) + 1.0036955834395923 + 1.059245011980159*exp(-0.71039925898172978/x1**2) - 1.059245011980159*exp(-0.76880092022095535*x0**2),saturated,9607.477916,44,12,34,7,147,159,67,2,78,(1.059245011980159 * (0.9475575264341134 + (exp((-5.8345976856156 / ((x1 / 0.24351267979731375) * (x1 + x1)))) - (exp(((((x0 / 1.766673822805128) + x0) * -0.49092178828863786) * x0)) + ((x1 * 7.375646723703661e-05) * (exp(x1) + x1)))))),saturated,3005.886333,32,7,28,5,200,213,75,2,73,((-1.059245011980159 * (exp((-0.7688009202209554 * (x0 ** 2.0))) - exp((-0.7103992589817297 / (x1 ** 2.0))))) + ((-7.812617002210905e-05 * ((x1 ** 2.0) + (exp(x1) * x1))) + 1.0036955834395922)) +pagie,185,SRjl,SRjl,6,1,kept,5.0,4.0,(((-1.6951225737003925 / log((((x1 * x0) * x0) * x1) + 2.734100844390089)) - (((exp(0.30577269991755807) * (x0 / 0.5927570415180725)) / exp(x0 * ((x0 + x0) + x0))) * x0)) - -2.313793445234176),-2.2904387076672257*x0**2*exp(-3*x0**2) + 2.313793445234176 - 1.6951225737003925/log(x0**2*x1**2 + 2.734100844390089),saturated,341.705958,32,5,29,4,178,190,69,2,59,(((-1.6951225737003925 / log(((((x1 * x0) * x0) * x1) + 2.734100844390089))) - ((x0 * (x0 * 2.2904387076672257)) / exp((x0 * ((x0 + x0) + x0))))) - -2.313793445234176),saturated,246.483500,27,5,27,5,80,90,46,1,76,((((-2.2904387076672257 * (x0 ** 2.0)) * exp((-3.0 * (x0 ** 2.0)))) + 2.313793445234176) - (1.6951225737003925 / log((((x0 ** 2.0) * (x1 ** 2.0)) + 2.734100844390089)))) +pagie,186,SRjl,SRjl,7,1,kept,9.0,6.0,((((x0 / (x0 + (0.8817700163671683 / x0))) - (((exp((((x1 + -0.006745099328406078) * x1) / (-1.0929198704556542 + -0.20377442900422535)) + 1.9637732651325928) + 0.5337258433636446) - log(((0.09179368868960286 * -0.5419230783861191) - -2.51396743655339) + -1.1941708691287212)) * 0.12938791808599362)) - -0.811494895888587) * 1.1730088067679376),1.1730088067679376*x0/(x0 + 0.8817700163671683/x0) + 0.90716789816992136 - 1.0815606806210452*exp(-0.77119179163241209*x1*(x1 - 0.006745099328406078)),saturated,291.360000,37,13,24,7,73,83,44,2,64,(((-0.12938791808599362 * (-5.977129644752898 + exp((((x1 + -0.006745099328406078) * (x1 / -1.2966942994598796)) + 1.9637732651325928)))) + (x0 / (x0 + (0.8817700163671683 / x0)))) * 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0.18658509602397805)) * -0.0338639205428945) - -1.5240792477436123) * 1.0741028792241336),0.19494233640325661*log(0.9560957138873036*x0**2 + 0.033936636251736194) + 1.513894369267021 - 1.0556011444784045*exp(-0.7853541869763665*x1**2),saturated,280.946625,35,12,27,8,102,117,63,2,72,(-0.036373334556940265 * ((((exp(((x1 * x1) * -0.7853541869763665)) + 0.11663831509104948) * 29.02129148555034) - (log((((x0 + x0) * (x0 / 2.091840775928573)) + 0.033936636251736194)) / 0.18658509602397805)) - 45.005989363018465)),saturated,306.071834,21,6,19,5,106,120,60,2,56,((0.19494233640325662 * (7.720960063733485 + log(((x0 ** 2.0) + 0.03549501975461879)))) - (1.0556011444784046 * exp((-0.7853541869763665 * (x1 ** 2.0))))) +pagie,189,SRjl,SRjl,10,1,kept,9.0,6.0,((exp((-1.2342630257966531 / (x0 * x0)) / ((x0 * x0) + 0.9482559484212596)) - (exp((x1 * (x1 * (0.8761146826522526 * 0.9587448440316082))) / -1.0837327603551368) - (((exp((x1 * x1) * -0.9557223147859552) * exp(0.492006378174328 / (1.588437324004253 + -0.9292660969299782))) + (-2.960691001121504 - 0.5190971040162952)) * -0.031172251360838864))) + 0.8817821046110705),0.99025493410688315 + 1.0*exp(-1.2342630257966531/(x0**2*(x0**2 + 0.9482559484212596))) - 0.065754610986397446*exp(-0.95572231478595519*x1**2) - 1.0*exp(-0.77507155407757481*x1**2),saturated,306.574667,45,13,30,6,67,75,39,2,68,((-0.06575461098639744 * (-15.059855411687186 + exp(((x1 * x1) * -0.9557223147859552)))) + (exp(((-1.2342630257966531 / (x0 * x0)) / ((x0 * x0) + 0.9482559484212596))) - exp(((x1 * x1) * -0.7750715540775749)))),saturated,1133.689000,34,8,30,6,81,92,49,2,84,((((-0.06575461098639744 * exp((-0.9557223147859552 * (x1 ** 2.0)))) - exp((-0.7750715540775748 * (x1 ** 2.0)))) - -0.9902549341068831) + exp((-1.2342630257966531 / ((x0 ** 2.0) * ((x0 ** 2.0) + 0.9482559484212596))))) +pagie,192,SRjl,SRjl,13,1,kept,13.0,7.0,(((((exp((-0.7138528763883562 / (x0 * x0)) + 0.6575814106270943) - 0.5583647924168882) + 2.5240588769642627) - (((exp(((x1 * x1) * (-0.7420809685476653 * 1.0343924978284673)) + 2.722416367428707) / 0.4579119827966314) - ((1.7325139467565818 - exp(x0 * ((0.06237773186828809 * x0) - x0))) * 1.1857194316753739)) * 0.06237773186828809)) / 1.8907855438451246) + -0.0595161601319482),1.047872847950701 - 1.0963158762930161*exp(-0.76760298664698778*x1**2) - 0.039117333544688729*exp(-0.9376222681317119*x0**2) + 1.0208024526117151*exp(-0.7138528763883562/x0**2),saturated,709.718416,44,14,36,10,132,147,71,2,93,(((1.8531617893447152 + exp(((-0.7138528763883562 / (x0 * x0)) + 0.6575814106270943))) + ((exp((((x1 * x1) * -0.7676029866469878) + 2.722416367428707)) + (-0.5429551359989654 * (1.7325139467565818 - exp((x0 * ((0.06237773186828809 * x0) - x0)))))) * -0.13622209990515008)) / 1.8907855438451246),saturated,517.574292,28,7,28,7,715,745,195,2,81,(((1.047872847950701 - (1.096315876293016 * exp((-0.7676029866469878 * (x1 ** 2.0))))) + (-0.03911733354468873 * exp((-0.9376222681317119 * (x0 ** 2.0))))) + 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0.01768299095097286*exp(2*x0))*exp(-2*x0),saturated,418.495000,24,6,22,5,184,193,53,2,57,(-0.01768299095097286 + (((-0.799049025992938 * (x0 * x0)) * ((x1 * (-4.734655034994491 + x1)) + -0.3212108877413568)) * (exp((2.0 * x0)) ** -1.0))),saturated,287.764250,25,6,25,6,160,175,74,1,65,((((x0 ** 2.0) * (((-0.7990490259929379 * x1) * (x1 - 4.734655034994491)) + 0.2566632469880581)) - (0.01768299095097286 * exp((2.0 * x0)))) * exp((-2.0 * x0))) +pagie,171,SBP,SBP,22,1,kept,6.0,2.0,0.179028-0.009630*((exp((x0*(-15.767000)))+((exp(x1)-(((((x0+(x0+x0))-18.776000)*x0)+18.776000)*x0))+(-14.972000*x1)))),0.02889*x0**3 - 0.18081288*x0**2 + 0.18081288*x0 + 0.14418036*x1 - 0.00963*exp(x1) + 0.179028 - 0.00963*exp(-15.767*x0),saturated,452.049042,29,6,29,6,86,96,47,2,67,(0.00963 * ((((18.590654205607475 - exp((x0 * -15.767))) + (14.972 * x1)) - exp(x1)) + (((((x0 + (x0 + x0)) + -18.776) * x0) + 18.776) * x0))),saturated,55452.304792,33,8,29,6,4858,4891,1479,2,75,(((-0.00963 * (exp((-15.767 * x0)) + exp(x1))) + (((0.18081288 * (x0 - (x0 ** 2.0))) + (0.02889 * (x0 ** 3.0))) + (0.14418036 * x1))) + 0.179028) +kotanchek,3,Bingo,Bingo,4,1,kept,4.0,4.0,(-0.03144312866911644)*(-3.0969157782045578 + (-31.196859437348742)*((-0.044758903858526766)*(x0) + ((x0)*(x0))*((exp((x0)*(x0)))^(-1))) - (x1)),0.980926865360896*x0**2*exp(-x0**2) - 0.043905211258934374*x0 + 0.03144312866911644*x1 + 0.097376721291502782,saturated,307.034208,22,4,20,4,64,72,36,2,50,(-0.03144312866911644 * ((-3.0969157782045578 + (-31.196859437348742 * (x0 * (-0.044758903858526766 + ((exp((x0 * x0)) ** -1.0) * x0))))) - x1)),saturated,648.519625,22,5,22,5,705,728,171,2,61,((0.09737672129150278 + (((0.980926865360896 * (x0 ** 2.0)) * exp((-1.0 * (x0 ** 2.0)))) + (-0.043905211258934373 * x0))) + (0.03144312866911644 * x1)) +kotanchek,5,Bingo,Bingo,6,1,kept,7.0,5.0,(x0)*((-0.708264064344585 + (0.22602214542380888)*(x0))*(-0.708264064344585 + (0.22602214542380888)*(x0))) + ((0.3286374849396323)*((x0 - ((x0)*(x0)))*(x1)) + (x1)*(x1))*(0.07900418526719069 + (-0.004875727623836811)*((x1)*(x1))),0.50163798484191*x0*(0.31912129501157985*x0 - 1)**2 - x1*(0.004875727623836811*x1**2 - 0.07900418526719069)*(-0.3286374849396323*x0*(x0 - 1) + x1),saturated,351.532292,35,7,31,6,241,251,71,2,71,((x0 * (0.051086010221981414 * ((x0 + -3.1336047315918334) * (x0 + -3.1336047315918334)))) + ((x1 * ((0.3286374849396323 * (x0 - (x0 * x0))) + x1)) * (0.07900418526719069 + (-0.004875727623836811 * (x1 * x1))))),saturated,332.844166,31,7,31,7,346,365,111,2,83,(((0.50163798484191 * x0) * (((0.3191212950115799 * x0) - 1.0) ** 2.0)) - (((((-0.3286374849396323 * x0) * (x0 - 1.0)) + x1) * x1) * ((0.004875727623836811 * (x1 ** 2.0)) - 0.07900418526719069))) +kotanchek,0,Bingo,Bingo,1,1,kept,4.0,4.0,0.11064466475608078 + (-0.010036545250561161)*((2)*(x0) + (2)*(x1)) + (0.713072197849276)*((0.022522799045566234 + (x0)*(x0))*(((x0)*(x0) + ((2)^(-1))*(((x1)^(-1))*(exp((x0)*(x0)))))^(-1))),(1.42614439569855*x1*(x0**2 + 0.022522799045566234) + (2*x0**2*x1 + exp(x0**2))*(-0.020073090501122322*x0 - 0.020073090501122322*x1 + 0.11064466475608078))/(2*x0**2*x1 + exp(x0**2)),saturated,3807.736875,38,7,32,5,173,184,65,2,76,((-0.020073090501122322 * ((x0 + x1) + -5.5120891698213805)) + (0.713072197849276 * ((0.022522799045566234 + (x0 * x0)) * (((x0 * x0) + (0.5 * ((x1 ** -1.0) * exp((x0 * x0))))) ** -1.0)))),saturated,800.381541,45,7,43,6,97,104,42,2,108,(((((x0 ** 2.0) + 0.022522799045566234) * x1) + (-0.014075075820979669 * ((((2.0 * (x0 ** 2.0)) * x1) + exp((x0 ** 2.0))) * ((x0 + x1) + -5.5120891698213805)))) * (1.42614439569855 / (((2.0 * (x0 ** 2.0)) * x1) + exp((x0 ** 2.0))))) +kotanchek,4,Bingo,Bingo,5,1,kept,7.0,5.0,-0.00021014784984354508 + (-79102.81028278018 + (9.442859863771085)*(8377.090142621715 + (x1)*(4.739077949578231 - (x1))))*((1.3508252037586896e-06)*(x0) + (0.004486719103561921)*(exp((2)*(x0) - ((x0)*(x0))))),(-(1.3508252037586896e-6*x0*exp(x0*(x0 - 2)) + 0.004486719103561921)*(9.442859863771085*x1*(x1 - 4.739077949578231) - 0.8780001748054929) - 0.00021014784984354508*exp(x0*(x0 - 2)))*exp(x0*(2 - x0)),saturated,307.843625,28,8,24,6,73,82,41,2,60,(-0.00021014784984354508 + ((0.04236745974303985 * (exp(((2.0 * x0) - (x0 * x0))) + (0.00030107193532269384 * x0))) * (0.0929803245489893 + (x1 * (4.739077949578231 - x1))))),saturated,1049.783667,40,10,36,8,158,174,77,2,85,((((1.275565309954333e-05 * (((x1 - 4.739077949578231) * x1) - 0.092980324549141)) * (-3321.465346573016 - (exp((x0 * (x0 - 2.0))) * x0))) - (0.00021014784984354508 * exp((x0 * (x0 - 2.0))))) * exp((x0 * (2.0 - x0)))) +kotanchek,7,Bingo,Bingo,8,1,kept,6.0,5.0,(0.11720391936222797)*((x1)*((0.6931234338478329 + (x0)*(6.4849819024041455 + (-0.6667403548542734)*((-1.3864562418418644 + x1)*(-1.3864562418418644 + x1)) - (x0)))*((exp(x0))^(-1)))),-0.11720391936222797*x1*(x0*(x0 + 1.2816489216174494*(0.72126329690112023*x1 - 1)**2 - 6.4849819024041455) - 0.6931234338478329)*exp(-x0),saturated,253.746083,26,6,26,6,120,129,48,1,67,(0.11720391936222797 * (x1 * ((0.6931234338478329 + (x0 * ((6.4849819024041455 + (-0.6667403548542734 * ((-1.3864562418418644 + x1) * (-1.3864562418418644 + x1)))) - x0))) * (exp(x0) ** -1.0)))),saturated,341.619875,26,7,26,7,148,162,65,2,71,(((-0.11720391936222797 * x1) * ((x0 * ((x0 + (1.2816489216174494 * ((0.7212632969011202 * (x1 - 1.3864562418418644)) ** 2.0))) - 6.4849819024041455)) - 0.6931234338478329)) * exp((-1.0 * x0))) +kotanchek,8,Bingo,Bingo,9,1,kept,2.0,2.0,(exp(x0))*((3.396536372521252 + ((0.4137631538437465 + x1)^(-1))*(((exp(x0))^(-1))*(exp(exp(x0)))))^(-1)),(x1 + 0.4137631538437465)*exp(2*x0)/(3.396536372521252*(x1 + 0.4137631538437465)*exp(x0) + exp(exp(x0))),saturated,240.479792,21,2,21,2,49,54,26,1,50,(exp(x0) * ((3.396536372521252 + (((0.4137631538437465 + x1) ** -1.0) * ((exp(x0) ** -1.0) * exp(exp(x0))))) ** -1.0)),saturated,314.495750,21,4,21,4,58,63,28,1,46,(((x1 + 0.4137631538437465) * exp((2.0 * x0))) / (((3.396536372521252 * (x1 + 0.4137631538437465)) * exp(x0)) + exp(exp(x0)))) +kotanchek,10,Bingo,Bingo,11,1,kept,4.0,4.0,0.2306440753250631 + (0.03139967317000205)*(x1) + (-1.1634241022901022 + (exp(exp(-1 + x0)))^(-1))*(1.2522488356336676 - (exp((x0)*((exp(exp(-1 + x0)))^(-1))))),((0.03139967317000205*x1 + 0.2306440753250631)*exp(exp(x0 - 1)) + (exp(x0*exp(-exp(x0 - 1))) - 1.2522488356336676)*(1.1634241022901022*exp(exp(x0 - 1)) - 1))*exp(-exp(x0 - 1)),saturated,258.111875,28,6,28,6,69,77,38,1,72,((0.2306440753250631 + (0.03139967317000205 * x1)) + ((-1.1634241022901022 + (exp(exp((-1.0 + x0))) ** -1.0)) * (1.2522488356336676 - exp((x0 * (exp(exp((-1.0 + x0))) ** -1.0)))))),saturated,288.804208,42,11,42,11,167,180,71,2,103,((((0.03139967317000205 * (x1 + 7.34542917298295)) * exp(exp((x0 - 1.0)))) + ((exp((x0 * exp((-1.0 * exp((x0 - 1.0)))))) - 1.2522488356336676) * ((1.1634241022901022 * exp(exp((x0 - 1.0)))) - 1.0))) * exp((-1.0 * exp((x0 - 1.0))))) +kotanchek,9,Bingo,Bingo,10,1,kept,3.0,3.0,(0.03943336488999562)*((x1)*(((x0)*(x0) + x1)*((0.12426947579595604 + (0.046906498950706255)*(x1 + (4)*((x1)*(x1)) + exp((x0)*(x0))) - (plog(x1)))^(-1)))),0.03943336488999562*x1*(x0**2 + x1)/(0.18762599580282502*x1**2 + 0.046906498950706255*x1 + 0.046906498950706255*exp(x0**2) - log(x1) + 0.12426947579595604),saturated,346.376583,32,4,32,4,178,186,57,2,67,(0.03943336488999562 * (x1 * (((x0 * x0) + x1) * (((0.046906498950706255 * (((x1 + (4.0 * (x1 * x1))) + exp((x0 * x0))) + 2.649301878755651)) - log(abs(x1))) ** -1.0)))),saturated,714.287833,31,5,29,4,112,119,44,2,71,(((0.03943336488999562 * x1) * ((x0 ** 2.0) + x1)) / (((0.046906498950706255 * (exp((x0 ** 2.0)) + (x1 + (4.0 * (x1 ** 2.0))))) - log(x1)) + 0.12426947579595604)) +kotanchek,11,Bingo,Bingo,12,1,kept,6.0,5.0,(-0.04106910574307527)*(78.09907550417113 + x0 + (1.0611956406287764)*((x1)*(-4.735723943783631 + x1))) + (0.00822065460724008 + (x0)*(x0))*((exp((x0)*(x0)))^(-1)) - (plog(-0.04106910574307527)),(x0**2 - (0.04106910574307527*x0 + 0.043582355979073722*x1*(x1 - 4.735723943783631) + 0.01496006509706177 + I*pi)*exp(x0**2) + 0.00822065460724008)*exp(-x0**2),saturated,285.683333,30,6,26,5,84,93,43,2,63,((-0.04106910574307527 * ((0.36426566457643617 + x0) + (1.0611956406287764 * (x1 * (-4.735723943783631 + x1))))) + ((0.00822065460724008 + (x0 * x0)) * (exp((x0 * x0)) ** -1.0))),saturated,322.690458,35,6,35,6,240,257,92,2,88,((((x0 ** 2.0) - (((((0.04106910574307527 * x0) + ((0.04358235597907372 * x1) * (x1 + -4.735723943783631))) + 0.01496006509706177) + (I * pi)) * exp((x0 ** 2.0)))) + 0.00822065460724008) * exp((-1.0 * (x0 ** 2.0)))) +kotanchek,12,Bingo,Bingo,13,1,kept,9.0,5.0,((69920813446.957 + (3837.522818140268)*((-6411.945978052463 + (5614.613323813786)*(x0))*(-6411.945978052463 + (5614.613323813786)*(x0))))^(-1))*(32356483533.402588 + (-10343913179.625605)*(x0) + (5885307060.08351)*(x1)),(-10343913179.625605*x0 + 5885307060.08351*x1 + 32356483533.402588)/(157772272201.0846*(0.8756488814834252*x0 - 1)**2 + 69920813446.957),saturated,320.074000,27,9,23,7,184,199,76,2,67,(((69920813446.957 + (120973619469.07672 * ((x0 + -1.142010252221088) * (x0 + -1.142010252221088)))) ** -1.0) * ((32356483533.402588 + (-10343913179.625605 * x0)) + (5885307060.08351 * x1))),saturated,502.721708,21,7,19,6,85,96,47,2,57,((-0.065562300874022 * ((x0 + (-0.5689633079747608 * x1)) + -3.1280699065741504)) / (((0.8756488814834252 * (x0 + -1.142010252221088)) ** 2.0) + 0.4431755496164828)) +kotanchek,14,Bingo,Bingo,15,1,kept,3.0,3.0,-0.009079799107138235 + (0.973619601464109)*((-1.1573239810414302 + (x1)^(-2) + exp(x0) + (-2)*(plog(x0)))^(-1)),-0.009079799107138235 + 0.973619601464109/(exp(x0) - 2*log(x0) - 1.1573239810414302 + x1**(-2)),saturated,343.495584,20,4,20,4,116,125,47,1,53,(-0.009079799107138235 + (0.973619601464109 * ((((-1.1573239810414302 + (x1 ** -2.0)) + exp(x0)) + (-2.0 * log(abs(x0)))) ** -1.0))),saturated,391.646542,17,4,17,4,100,107,38,2,45,(-0.009079799107138235 + (0.973619601464109 / (((exp(x0) + (-2.0 * log(x0))) + -1.1573239810414302) + (x1 ** -2.0)))) +kotanchek,15,Bingo,Bingo,16,1,kept,5.0,4.0,-5.9611827480310925e-05 + (-8.813638500217107e-05)*((-119.17342611160666 + (1306.8992589231564)*((x1)*(-4.739082076972427 + x1)))*((exp((-1 + x0)*(-1 + x0)))^(-1))),(-0.11518537624350337*x1*(x1 - 4.739082076972427) - 5.9611827480310925e-5*exp((x0 - 1)**2) + 0.010503514965800351)*exp(-(x0 - 1)**2),saturated,311.857000,24,7,22,6,65,73,36,2,61,(-5.9611827480310925e-05 + ((-0.11518537624350336 * ((x1 * (-4.739082076972427 + x1)) + -0.09118792079643674)) * (exp(((-1.0 + x0) * (-1.0 + x0))) ** -1.0))),saturated,265.082667,27,7,27,7,215,232,88,1,76,(((((-0.11518537624350338 * x1) * (x1 - 4.739082076972427)) - (5.9611827480310925e-05 * exp(((x0 - 1.0) ** 2.0)))) + 0.010503514965800351) * exp((-1.0 * ((x0 - 1.0) ** 2.0)))) 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- (x0)))^(-1)) - ((x1)*(x1)))),0.004874455021822982*(x1 + 0.6623280966084486)*(x0 + (9.896181203737148 - x1**2)*exp(x0*(x0 - 2)) + 10.524866972388967)*exp(x0*(2 - x0)),saturated,249.114250,26,5,26,5,64,71,35,1,63,(0.004874455021822982 * ((0.6623280966084486 + x1) * ((9.896181203737148 + ((10.524866972388967 + x0) * (exp(((x0 * (-1.0 + x0)) - x0)) ** -1.0))) - (x1 * x1)))),saturated,290.247875,29,6,29,6,125,133,48,2,71,(((0.004874455021822982 * (x1 + 0.6623280966084486)) * ((x0 + ((9.896181203737148 - (x1 ** 2.0)) * exp((x0 * (x0 + -2.0))))) + 10.524866972388967)) * exp((x0 * (2.0 - x0)))) +kotanchek,20,Bingo,Bingo,21,1,kept,4.0,4.0,((2)*(0.17850583364543127))*((x0 + exp(x0))*((((-1)*(0.17850583364543127))*((x0)*(exp(x0))) + exp(((2)*(0.17850583364543127))*(x0 + exp(x0))) - (plog(((2)*(0.17850583364543127))*(x0 + exp(x0)))))^(-1))),0.35701166729086254*(-x0 - exp(x0))/(0.17850583364543127*x0*exp(x0) - exp(0.35701166729086254*x0 + 0.35701166729086254*exp(x0)) + log(x0 + exp(x0)) - 1.0299868162495162),saturated,300.794000,40,8,32,4,103,110,44,2,65,(0.35701166729086253 * ((x0 + exp(x0)) * ((((-0.17850583364543127 * (x0 * exp(x0))) + exp((0.35701166729086253 * (x0 + exp(x0))))) - log((0.35701166729086253 * abs((x0 + exp(x0)))))) ** -1.0))),saturated,286.292583,33,6,31,5,83,89,38,2,64,((0.35701166729086253 * ((-1.0 * x0) - exp(x0))) / (((((0.17850583364543127 * x0) * exp(x0)) - exp((0.35701166729086253 * (x0 + exp(x0))))) + log((x0 + exp(x0)))) + -1.0299868162495163)) +kotanchek,19,Bingo,Bingo,20,1,kept,5.0,5.0,(-0.03309619870833754)*(-3.819150332778322 + x0 + (0.03907279509253594 + (x0)*(x0))*((-15.272972634101004 + (-7.53747357012547)*(x1))*((exp((x0)*(x0)))^(-1)))),((0.1263993583106448 - 0.03309619870833754*x0)*exp(x0**2) + 0.03309619870833754*(x0**2 + 0.03907279509253594)*(7.53747357012547*x1 + 15.272972634101004))*exp(-x0**2),saturated,293.134333,24,5,24,5,123,132,48,2,60,(-0.03309619870833754 * ((-3.819150332778322 + x0) + ((0.03907279509253594 + (x0 * x0)) * ((-7.53747357012547 * (x1 + 2.026272131107024)) * (exp((x0 * x0)) ** -1.0))))),saturated,924.317291,31,7,29,6,152,164,65,2,79,((((0.1263993583106448 + (-0.03309619870833754 * x0)) * exp((x0 ** 2.0))) + ((0.24946172303571493 * (x1 + 2.026272131107024)) * ((x0 ** 2.0) + 0.03907279509253594))) * exp((-1.0 * (x0 ** 2.0)))) +kotanchek,13,Bingo,Bingo,14,1,kept,5.0,5.0,(-0.008870475378536939 + (-0.0506336679649604)*(x1))*(((x0 + (-0.3460574947000204)*(1.0326587094648079 + exp(x0)))^(-1))*(plog(-9.541496629390634 + (2)*(x1)))),(0.0506336679649604*x1 + 0.008870475378536939)*log(2*x1 - 9.541496629390634)/(-x0 + 0.3460574947000204*exp(x0) + 0.35735928587754767),saturated,302.615542,24,6,24,6,140,152,60,1,63,((-0.008870475378536939 + (-0.0506336679649604 * x1)) * (((x0 + (-0.3460574947000204 * (1.0326587094648079 + exp(x0)))) ** -1.0) * log(abs((-9.541496629390634 + (2.0 * x1)))))),saturated,2623.756333,23,7,21,6,105,114,46,2,55,(((0.0506336679649604 * (x1 + 0.1751892709940647)) * (0.6931471805599453 + log((x1 + -4.770748314695317)))) / ((0.35735928587754767 - x0) + (0.3460574947000204 * exp(x0)))) +kotanchek,21,Bingo,Bingo,22,1,kept,3.0,3.0,(0.6877488188414488)*(exp((2)*(x0) - ((x0)*(x0) + (-0.8494111690013563 - (x1))*((-0.2000198424296049 - (x1))^(-1))))),0.6877488188414488*exp(-(-x0*(2 - x0)*(x1 + 0.2000198424296049) + x1 + 0.8494111690013563)/(x1 + 0.2000198424296049)),saturated,272.515709,20,4,20,4,43,50,30,2,50,(0.6877488188414488 * exp((((2.0 * x0) - (x0 * x0)) - ((-0.8494111690013563 - x1) * ((-0.2000198424296049 - x1) ** -1.0))))),saturated,337.754666,24,7,20,5,56,63,32,2,50,(0.6877488188414488 * exp((((((-2.0 + x0) * ((-0.2000198424296049 - x1) * x0)) - x1) + -0.8494111690013563) / (x1 + 0.2000198424296049)))) +kotanchek,22,Bingo,Bingo,23,1,kept,7.0,6.0,(2.5131784365055503)*(((exp(x0))^(-1))*(20.83283257582063 + x0 + (0.029475689425325854)*(x1) + (-0.6569808069960112)*((5.186033678881531 - (x0))*(5.714201897136322 + x0 + ((2.5131784365055503)^(-1))*(exp(x0)))))),(2.5131784365055503*x0 + 0.074077667064863612*x1 + 1.6511099973403901*(x0 - 5.186033678881531)*(x0 + 0.39790250683132961*exp(x0) + 5.714201897136322) + 52.356625600882787)*exp(-x0),saturated,311.269500,31,7,29,7,234,249,85,2,75,(2.5131784365055503 * ((exp(x0) ** -1.0) * (((20.83283257582063 + x0) + (0.029475689425325854 * x1)) + (-0.6569808069960112 * ((5.186033678881531 - x0) * ((5.714201897136322 + x0) + (0.3979025068313296 * exp(x0)))))))),saturated,534.865583,29,8,29,8,582,604,156,2,75,(((((2.5131784365055503 * x0) + (0.07407766706486361 * x1)) + ((1.65110999734039 * (x0 + -5.186033678881531)) * ((x0 + (0.3979025068313296 * exp(x0))) + 5.714201897136322))) + 52.356625600882786) * exp((-1.0 * x0))) +kotanchek,23,Bingo,Bingo,24,1,kept,8.0,8.0,0.006514843839523813 + (0.012790360845057828 + (-0.13720269441638683)*((x0 + (x0)*(x0))*(2.4024045089083383 + x1)))*((-1.5068813313136211 + (-0.32506758388128154)*(exp((x0)*(x0))) - ((x0)*(x0)))^(-1)) + exp(-1.5068813313136211 + (-0.32506758388128154)*(exp((x0)*(x0)))),(0.13720269441638683*(x0**2 + x0)*(x1 + 2.4024045089083383) - 0.012790360845057828)/(x0**2 + 0.32506758388128154*exp(x0**2) + 1.5068813313136211) + 0.006514843839523813 + 0.22159999840345781*exp(-0.32506758388128154*exp(x0**2)),saturated,266.559750,40,8,40,8,120,132,59,1,95,((0.006514843839523813 + ((0.012790360845057828 + (-0.13720269441638683 * ((x0 + (x0 * x0)) * (2.4024045089083383 + x1)))) * (((-1.5068813313136211 + (-0.32506758388128154 * exp((x0 * x0)))) - (x0 * x0)) ** -1.0))) + exp((-1.5068813313136211 + (-0.32506758388128154 * exp((x0 * x0)))))),saturated,331.451292,38,8,38,8,204,221,88,2,104,((((((0.13720269441638683 * ((x0 ** 2.0) + x0)) * (x1 + 2.4024045089083383)) + -0.012790360845057828) / (((x0 ** 2.0) + (0.32506758388128154 * exp((x0 ** 2.0)))) + 1.5068813313136211)) + 0.006514843839523813) + (0.22159999840345782 * exp((-0.32506758388128154 * exp((x0 ** 2.0)))))) 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+ (2.057897964881403)*(x1) - (x0))^(-1))*(0.20556825888097427 + (-2.9052829962789213)*(x0) + exp(plog(x0)) - (x1))),(3.678253204741038*x0 + 1.9305547847352778*x1 - 0.39686078577236514)/(x0**6 - x0 + 2.057897964881403*x1 + 10.665734721501936),saturated,308.939958,36,5,34,5,103,112,48,2,75,(-1.9305547847352778 * (((((10.665734721501936 + ((x0 * (x0 * x0)) * (x0 * (x0 * x0)))) + (2.057897964881403 * x1)) - x0) ** -1.0) * (((-2.9052829962789213 * (x0 + -0.07075670739968036)) + abs(x0)) - x1))),saturated,273.490750,21,5,21,5,195,213,86,1,56,((((3.678253204741038 * x0) + (1.9305547847352778 * x1)) - 0.39686078577236517) / ((((x0 ** 6.0) - x0) + (2.057897964881403 * x1)) + 10.665734721501936)) +kotanchek,27,Bingo,Bingo,28,1,kept,4.0,4.0,(0.20913305449088818 + (0.62938832186819)*(x0))*(exp((2.665810272148384)*(((-12.800195782530425 + (3)*(x0) - (x1))^(-1))*(exp(x0))))),(0.62938832186819*x0 + 0.20913305449088818)*exp(-2.665810272148384*exp(x0)/(-3*x0 + x1 + 12.800195782530425)),saturated,276.466875,21,5,21,5,88,98,46,1,55,((0.20913305449088818 + (0.62938832186819 * x0)) * exp((2.665810272148384 * ((((-12.800195782530425 + (3.0 * x0)) - x1) ** -1.0) * exp(x0))))),saturated,259.932500,19,5,19,5,91,100,44,1,48,(((0.62938832186819 * x0) + 0.20913305449088818) * exp(((-2.665810272148384 * exp(x0)) / (((-3.0 * x0) + x1) + 12.800195782530425)))) +kotanchek,25,Bingo,Bingo,26,1,kept,6.0,6.0,0.2497806421525048 + (-0.6964203985908678 + (2)*(((exp(x0))^(-1))*(plog(x0 + exp(x0)))))*(0.11848913269441189 + (0.13470217521610287 + (0.5185123293134022)*(x0))*(-0.0008622481242864235 + (2)*(((exp(x0))^(-1))*(plog(x0 + exp(x0)))))),(((0.5185123293134022*x0 + 0.13470217521610287)*(0.0008622481242864235*exp(x0) - 2*log(x0 + exp(x0))) - 0.11848913269441189*exp(x0))*(0.6964203985908678*exp(x0) - 2*log(x0 + exp(x0))) + 0.2497806421525048*exp(2*x0))*exp(-2*x0),saturated,356.042125,41,8,37,6,80,89,44,2,84,(0.2497806421525048 + ((2.0740493172536087 * (((exp(x0) ** -1.0) * log(abs((x0 + exp(x0))))) + -0.3482101992954339)) * (((((exp(x0) ** -1.0) * log(abs((x0 + exp(x0))))) + -0.00043112406214321176) * (x0 + 0.25978586737652176)) + 0.11425874178470499))),saturated,1040.189458,48,10,44,8,155,166,67,2,94,((((-0.08251824901972855 * (exp(x0) + (-2.8718285737275733 * log((x0 + exp(x0)))))) * (exp(x0) + (-0.0037732260605107 * ((x0 + 0.25978586737652176) * (exp(x0) + (-2319.517948102414 * log((x0 + exp(x0))))))))) + (0.2497806421525048 * exp((2.0 * x0)))) * exp((-2.0 * x0))) +kotanchek,28,Bingo,Bingo,29,1,kept,6.0,6.0,(1.550707023441505e-05 + (6.656270926980652e-05)*(x1))*((-52.61627831646421 + exp(x0))*((35.56866639996601)*((x1)*((6.784280947796324 - (x1))^(-1))) + (exp(x0))*((-52.61627831646421 + exp(x0))*((exp(x0) - (x0))^(-1))))),-(6.656270926980652e-5*x1 + 1.550707023441505e-5)*(35.56866639996601*x1*(x0 - exp(x0)) + (x1 - 6.784280947796324)*(exp(x0) - 52.61627831646421)*exp(x0))*(exp(x0) - 52.61627831646421)/((x0 - exp(x0))*(x1 - 6.784280947796324)),saturated,250.100375,35,6,35,6,143,152,54,1,83,((1.550707023441505e-05 + (6.656270926980652e-05 * x1)) * ((-52.61627831646421 + exp(x0)) * ((35.56866639996601 * (x1 * ((6.784280947796324 - x1) ** -1.0))) + (exp(x0) * ((-52.61627831646421 + exp(x0)) * ((exp(x0) - x0) ** -1.0)))))),saturated,859.808208,42,8,40,7,306,320,86,2,86,(((((-6.656270926980652e-05 * x1) - 1.550707023441505e-05) * ((((x1 - 6.784280947796324) * (exp(x0) - 52.61627831646421)) * exp(x0)) - ((-35.56866639996601 * x1) * (x0 - exp(x0))))) * (exp(x0) - 52.61627831646421)) / ((x0 - exp(x0)) * (x1 - 6.784280947796324))) +kotanchek,32,EPLEX,EPLEX,3,1,kept,3.0,3.0,(0.414/exp(((-0.896^2)*((x0-0.8)^2)))),0.414*exp(0.802816*(x0 - 0.8)**2),saturated,365.444792,14,4,10,3,34,41,26,2,31,(0.414 / exp((-0.8028160000000001 * ((x0 - 0.8) ** 2.0)))),saturated,266.342167,10,3,10,3,35,42,26,1,31,(0.414 * exp((0.802816 * ((x0 - 0.8) ** 2.0)))) 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(5)*(exp(x0))))) - (plog(x0 + (-9.993015936395594)*(x1 - (-3.303202526637662)) + (5)*(exp(x0)) - (-3.303202526637662)))),0.1633543047247512*x0*x1*exp(-x0) - 0.08173423607271453*x0 + 0.5395923521039366*x0*exp(-x0) + 0.03269369442908581*log(x0 - 9.993015936395594*x1 + 5*exp(x0) - 29.70575296319469) + 0.042494906292620545,saturated,577.657375,42,10,36,8,196,211,80,2,88,(-0.03269369442908581 * (((((-4.996507968197797 * x0) * ((x1 + 3.303202526637662) + (-0.5003494472363929 * exp(x0)))) * (exp(x0) ** -1.0)) - log(abs(((-9.993015936395594 * (2.97265141497506 + x1)) + ((5.0 * exp(x0)) + x0))))) + -1.2997890582477314)),saturated,6052.747666,41,10,32,9,312,332,113,2,83,(((x0 * ((exp((-1.0 * x0)) * (0.1633543047247512 * (x1 + 3.3032025266376612))) + -0.08173423607271453)) + (0.03269369442908581 * log((((x0 + (-9.993015936395594 * x1)) + (5.0 * exp(x0))) + -29.70575296319469)))) + 0.042494906292620545) 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(0.44995135931457225 / (x1 + -5.3952503651711705))) + 0.104082751872) * exp((-1.0 * ((1.0214280113449994 - x0) ** 2.0))))) +pagie,209,SRjl,SRjl,30,1,kept,7.0,6.0,(((((2.446632681660071 / exp((x0 / 0.7849375091277773) * x0)) - log((x0 * x0) - -0.20732621651686337)) - log(((x1 * x1) / 0.8190741249131813) + 0.02273936196225082)) * -0.16360691420886442) + 1.1234872185304754),0.16360691420886442*log(x0**2 + 0.20732621651686337) + 0.16360691420886442*log(1.220890722321372*x1**2 + 0.02273936196225082) + 1.1234872185304754 - 0.40028602324896313*exp(-1.273986767572364*x0**2),saturated,259.054833,28,7,26,6,57,65,37,2,62,(-0.16360691420886442 * (-7.066571760585466 + (((2.446632681660071 / exp(((x0 / 0.7849375091277773) * x0))) - log(((x0 * x0) + 0.20732621651686337))) - log(((x1 * x1) + 0.01862522300031467))))),saturated,28774.793167,30,8,26,6,159,174,72,2,74,((0.16360691420886442 * ((7.066571760585466 + log(((x1 ** 2.0) + 0.01862522300031468))) + log(((x0 ** 2.0) + 0.20732621651686337)))) - 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x1)))))),saturated,446.651209,31,7,31,7,449,460,92,2,74,((((((0.005377 * x1) * (x1 + -5.885)) * (x1 + -4.74)) * (x1 + 0.083)) + (0.009318 * exp((x0 * (x0 + -2.0))))) * exp((x0 * (2.0 - x0)))) +kotanchek,92,GOMEA,GOMEA,3,1,kept,4.0,4.0,0.000080-0.008165*((exp(((x0+x0)-(x0*x0)))*(((1.253000-5.351000)+exp(x1))+(x1+(x1*(-16.707000)))))),(0.128247655*x1 - 0.008165*exp(x1) + 8.0e-5*exp(x0*(x0 - 2)) + 0.03346017)*exp(x0*(2 - x0)),saturated,348.596250,25,5,23,4,153,164,60,2,50,(8e-05 - (0.008165 * (exp(((x0 + x0) - (x0 * x0))) * ((-4.098 + exp(x1)) + (x1 + (x1 * -16.707)))))),saturated,616.517958,26,6,26,6,670,691,158,2,62,(((((0.128247655 * x1) + (-0.008165 * exp(x1))) + (8e-05 * exp((x0 * (x0 + -2.0))))) + 0.03346017) * exp((x0 * (2.0 - x0)))) +kotanchek,93,GOMEA,GOMEA,4,1,kept,5.0,4.0,0.000072+0.007967*(((((-1.459000-7.405000)-(x1-12.778000))-((x1*(-17.047000))+exp(x1)))*exp(((x0+x0)-(x0*x0))))),(0.127846449*x1 - 0.007967*exp(x1) + 7.2e-5*exp(x0*(x0 - 2)) + 0.031182838)*exp(x0*(2 - 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exp(((((1.9697031361279862 * x0) * ((exp((-1.4961092271270973 + log(abs(x1)))) + ((-0.05307185374758461 * exp(x1)) + (-1.2597024446875444e-05 * x0))) + -0.9057819428538325)) + x1) * (-0.49956766679791803 / ((exp((-1.4961092271270973 + log(abs(x1)))) + ((-0.05307185374758461 * exp(x1)) + (-1.2597024446875444e-05 * x0))) + -0.9057819428538325))))) + -2.3231041768839678) + (-0.152 * exp(x0)))) + -0.001) +kotanchek,56,EPLEX,EPLEX,27,1,kept,13.0,5.0,exp(((x0-exp((0.288-(x1^2))))-((0.466-x0)+((x0^2)+(0.178+(0.215+((exp((1.252+(0.442+(((x1^2)+(x1*(x1-(x1^3))))*0.115))))+((-0.001+((0.069-(0.173+(0.109*0.256)))+(exp((-0.343+x1))*0.264)))-0.062))*0.144))))))),0.435642283097052*exp(((-x0**2 + 2*x0 - 0.0269776062506729*exp(x1) - 0.783533093999475*exp(0.115*x1**2*(2 - x1**2)))*exp(x1**2) - 1.33375730412338)*exp(-x1**2)),saturated,439.877208,61,16,43,7,738,777,205,2,107,exp((((-0.144 * ((5.770373777777778 + (exp((-0.343 + x1)) * 0.264)) + exp((1.694 + (((x1 ** 2.0) + (x1 * (x1 - (x1 ** 3.0)))) * 0.115))))) + ((x0 - exp((0.288 - (x1 ** 2.0)))) - (x0 ** 2.0))) + x0)),saturated,8944.307916,46,9,44,8,140,154,72,2,116,(0.435642283097052 * exp((((((((2.0 * x0) - (x0 ** 2.0)) - (0.0269776062506729 * exp(x1))) - (0.783533093999475 * exp(((0.115 * (x1 ** 2.0)) * (2.0 - (x1 ** 2.0)))))) * exp((x1 ** 2.0))) - 1.33375730412338) * exp((-1.0 * (x1 ** 2.0)))))) +kotanchek,97,GOMEA,GOMEA,8,1,kept,3.0,3.0,0.040188-0.167339*((exp((exp(-4.145000)-(x1*x1)))-exp(((x0+x0)-(x0*x0))))),0.167339*exp(-x0**2 + 2*x0) + 0.040188 - 0.170011338339925*exp(-x1**2),saturated,301.115500,20,3,19,3,65,74,40,2,40,(0.040188 - (0.167339 * (exp((0.015843435951321115 - (x1 * x1))) - exp(((x0 + x0) - (x0 * x0)))))),saturated,433.569291,23,6,21,5,152,166,69,2,59,(((0.167339 * exp(((2.0 * x0) - (x0 ** 2.0)))) + 0.040188) - (0.170011338339925 * exp((-1.0 * (x1 ** 2.0))))) +kotanchek,95,GOMEA,GOMEA,6,1,kept,3.0,3.0,0.041578+0.022505*(((((x0+x1)-exp(x0))+((4.360000-x1)*(x1+x1)))*exp(((x0+x0)-(x0*x0))))),(0.022505*x0 - 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x0) - (x0 * x0))) * ((exp(x1) - (x1 * 16.705)) * ((x0 - x1) + (18.607 - x0)))))),saturated,329.716000,28,6,28,6,125,135,56,2,65,((((-0.000529 * (x1 + -18.607)) * ((16.705 * x1) - exp(x1))) + (0.010331 * exp((x0 * (x0 + -2.0))))) * exp((x0 * (2.0 - x0)))) +kotanchek,103,GOMEA,GOMEA,14,1,kept,4.0,4.0,0.002398-0.008408*(((((x1*(-16.678000))+exp(x1))+((x1+x0)-(x0+3.300000)))*exp(((x0+x0)-(x0*x0))))),(0.131820624*x1 - 0.008408*exp(x1) + 0.002398*exp(x0*(x0 - 2)) + 0.0277464)*exp(x0*(2 - x0)),saturated,269.875542,27,4,27,4,181,193,69,1,56,(0.002398 - (0.008408 * ((((x1 * -16.678) + exp(x1)) + ((x1 + x0) - (x0 + 3.3))) * exp(((x0 + x0) - (x0 * x0)))))),saturated,622.745292,26,6,26,6,629,651,159,2,62,(((((0.131820624 * x1) + (-0.008408 * exp(x1))) + (0.002398 * exp((x0 * (x0 + -2.0))))) + 0.0277464) * exp((x0 * (2.0 - x0)))) 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x0)),saturated,316.288917,27,6,23,4,160,172,64,2,50,(0.001058 - (0.008482 * (exp(((x0 + x0) - (x0 * x0))) * ((-4.062000000000001 + (x1 + exp(x1))) - (x1 * 16.294))))),saturated,546.805291,26,6,26,6,612,633,158,2,62,(((((0.129723708 * x1) + (-0.008482 * exp(x1))) + (0.001058 * exp((x0 * (x0 + -2.0))))) + 0.034453884) * exp((x0 * (2.0 - x0)))) +kotanchek,96,GOMEA,GOMEA,7,1,kept,5.0,4.0,-0.002373+0.007876*((exp(((x0+x0)-(x0*x0)))*(((x1-0.327000)+(x1*14.509000))-(exp(x1)+(x0-6.946000))))),(-0.007876*x0 + 0.122148884*x1 - 0.007876*exp(x1) - 0.002373*exp(x0*(x0 - 2)) + 0.052131244)*exp(x0*(2 - x0)),saturated,339.307500,27,5,25,4,85,93,42,2,53,(-0.002373 + (0.007876 * (exp(((x0 + x0) - (x0 * x0))) * (((6.619 + ((x1 * 14.509) + x1)) - x0) - exp(x1))))),saturated,8702.061375,30,7,28,6,493,510,125,2,65,((((-0.007876 * ((x0 + (-15.509000000000002 * x1)) + exp(x1))) + (-0.002373 * exp((x0 * (x0 + -2.0))))) + 0.052131244) * exp((x0 * (2.0 - x0)))) +kotanchek,105,GOMEA,GOMEA,16,1,kept,4.0,3.0,0.007824-0.012740*((exp(((x0+x0)-(x0*x0)))*(((x1-8.411000)+4.098000)*((x1*x1)+(x1+x1))))),(-0.01274*x1*(x1 - 4.313)*(x1 + 2) + 0.007824*exp(x0*(x0 - 2)))*exp(x0*(2 - x0)),saturated,329.919792,26,4,24,3,168,177,56,2,48,(0.007824 - (0.01274 * (exp(((x0 + x0) - (x0 * x0))) * ((-4.313 + x1) * ((x1 * x1) + (x1 + x1)))))),saturated,345.815250,27,6,27,6,195,204,62,2,64,(((((-0.01274 * x1) * (x1 + -4.313)) * (x1 + 2.0)) + (0.007824 * exp((x0 * (x0 + -2.0))))) * exp((x0 * (2.0 - x0)))) +kotanchek,106,GOMEA,GOMEA,17,1,kept,5.0,5.0,0.002551-0.007740*((exp(((x0+x0)-(x0*x0)))*(((0.548000+x1)*(x1-4.287000))*(x1-(-1.260000-x1))))),(-0.00774*(x1 - 4.287)*(x1 + 0.548)*(2*x1 + 1.26) + 0.002551*exp(x0*(x0 - 2)))*exp(x0*(2 - x0)),saturated,321.370584,26,5,26,5,431,444,92,1,59,(0.002551 - (0.00774 * (exp(((x0 + x0) - (x0 * x0))) * (((0.548 + x1) * (x1 - 4.287)) * (x1 - (-1.26 - x1)))))),saturated,419.055792,31,8,29,7,204,215,69,2,71,((((-0.01548 * ((x1 + 0.63) * (x1 + -4.287))) * (x1 + 0.548)) + (0.002551 * exp((x0 * (x0 + -2.0))))) * exp((x0 * (2.0 - x0)))) +kotanchek,107,GOMEA,GOMEA,18,1,kept,3.0,3.0,0.002206+0.022640*(((((x0*x0)-(x0*x0))-((-4.636000+x1)*(x1+x1)))*exp(((x0+x0)-(x0*x0))))),(-0.04528*x1*(x1 - 4.636) + 0.002206*exp(x0*(x0 - 2)))*exp(x0*(2 - x0)),saturated,305.603292,28,3,20,3,99,105,36,2,42,(0.002206 + ((-0.02264 * ((-4.636 + x1) * (x1 + x1))) * exp(((x0 + x0) - (x0 * x0))))),saturated,322.099458,23,5,23,5,115,124,50,2,54,((((-0.04528 * x1) * (x1 + -4.636)) + (0.002206 * exp((x0 * (x0 + -2.0))))) * exp((x0 * (2.0 - x0)))) +kotanchek,108,GOMEA,GOMEA,19,1,kept,5.0,5.0,0.014415+0.001055*((exp(((x0+x0)-(x0*x0)))*(((x1*x1)*(-4.670000+x1))*((5.882000+x1)*(-4.779000+x1))))),(0.001055*x1**2*(x1 - 4.779)*(x1 - 4.67)*(x1 + 5.882) + 0.014415*exp(x0*(x0 - 2)))*exp(x0*(2 - x0)),saturated,369.912167,28,5,28,5,815,823,154,1,62,(0.014415 + (0.001055 * (exp(((x0 + x0) - (x0 * x0))) * (((x1 * x1) * (-4.67 + x1)) * ((5.882 + x1) * (-4.779 + x1)))))),saturated,424.742208,33,7,33,7,451,462,93,2,81,((((((0.001055 * (x1 ** 2.0)) * (x1 + -4.779)) * (x1 + -4.67)) * (x1 + 5.882)) + (0.014415 * exp((x0 * (x0 + -2.0))))) * exp((x0 * (2.0 - x0)))) +kotanchek,109,GOMEA,GOMEA,20,1,kept,5.0,4.0,0.001729-0.008336*((exp(((x0+x0)-(x0*x0)))*(((x1-3.517000)-(18.874000*x1))+((2.182000*x1)+exp(x1))))),(0.130808512*x1 - 0.008336*exp(x1) + 0.001729*exp(x0*(x0 - 2)) + 0.029317712)*exp(x0*(2 - x0)),saturated,349.008875,27,5,23,4,157,169,63,2,50,(0.001729 - (0.008336 * (exp(((x0 + x0) - (x0 * x0))) * (((x1 * -16.692) + (x1 - 3.517)) + exp(x1))))),saturated,615.170417,26,6,26,6,787,814,209,2,62,(((((0.130808512 * x1) + (-0.008336 * exp(x1))) + (0.001729 * exp((x0 * (x0 + -2.0))))) + 0.029317712) * exp((x0 * (2.0 - x0)))) +kotanchek,110,GOMEA,GOMEA,21,1,kept,4.0,4.0,-0.000234-0.008008*((exp(((x0+x0)-(x0*x0)))*(((-15.725000+11.634000)+(x1+x1))+((x1*(-17.925000))+exp(x1))))),(0.1275274*x1 - 0.008008*exp(x1) - 0.000234*exp(x0*(x0 - 2)) + 0.032760728)*exp(x0*(2 - x0)),saturated,335.413791,27,5,25,4,226,237,68,2,53,(-0.000234 - (0.008008 * (exp(((x0 + x0) - (x0 * x0))) * ((-4.090999999999999 + (x1 + x1)) + ((x1 * -17.925) + exp(x1)))))),saturated,669.062667,26,6,26,6,771,794,189,2,62,(((((0.1275274 * x1) + (-0.008008 * exp(x1))) + (-0.000234 * exp((x0 * (x0 + -2.0))))) + 0.032760728) * exp((x0 * (2.0 - x0)))) +kotanchek,112,GOMEA,GOMEA,23,1,kept,3.0,3.0,0.027028+0.108127*((((exp(x0)*exp(x0))*((x1*x1)*(x1+6.423000)))*exp(((x0-x1)-exp(x0))))),(x1**2*(0.108127*x1 + 0.694499721)*exp(2*x0) + 0.027028*exp(-x0 + x1 + exp(x0)))*exp(x0 - x1 - exp(x0)),saturated,435.856291,25,3,25,3,919,925,131,1,48,(0.027028 + (0.108127 * (((exp(x0) * exp(x0)) * ((x1 * x1) * (x1 + 6.423))) * exp(((x0 - x1) - exp(x0)))))),saturated,331.804708,34,5,32,4,204,213,66,2,66,(((((x1 ** 2.0) * ((0.108127 * x1) + 0.694499721)) * exp((2.0 * x0))) + (0.027028 * exp(((x1 - x0) + exp(x0))))) * exp(((x0 - x1) - exp(x0)))) +kotanchek,113,GOMEA,GOMEA,24,1,kept,5.0,4.0,0.014790+0.002199*((exp(((x0+x0)-(x0*x0)))*(((-8.382000+x1)-(0.249000-x1))*((x1*x1)*(-7.883000+x1))))),(0.002199*x1**2*(x1 - 7.883)*(2*x1 - 8.631) + 0.01479*exp(x0*(x0 - 2)))*exp(x0*(2 - x0)),saturated,424.112292,28,5,26,4,493,500,77,2,55,(0.01479 + (0.002199 * (exp(((x0 + x0) - (x0 * x0))) * (((-8.631 + x1) + x1) * ((x1 * x1) * (-7.883 + x1)))))),saturated,431.883791,31,7,29,6,200,210,66,2,71,((((0.004398 * ((x1 + -4.3155) * (x1 ** 2.0))) * (x1 + -7.883)) + (0.01479 * exp((x0 * (x0 + -2.0))))) * exp((x0 * (2.0 - x0)))) +kotanchek,114,GOMEA,GOMEA,25,1,kept,4.0,3.0,0.010559+0.013455*(((((4.203000-x1)+exp(-3.785000))*((x1*x1)+(x1+x1)))*exp(((x0+x0)-(x0*x0))))),(-0.013455*x1*(x1 - 4.22570886277673)*(x1 + 2) + 0.010559*exp(x0*(x0 - 2)))*exp(x0*(2 - x0)),saturated,326.248625,27,4,26,4,114,121,43,2,55,(0.010559 + (0.013455 * ((((4.203 - x1) + 0.022708862776731332) * ((x1 * x1) + (x1 + x1))) * exp(((x0 + x0) - (x0 * x0)))))),saturated,364.942000,27,6,27,6,195,204,62,2,64,(((((-0.013455 * x1) * (x1 + -4.22570886277673)) * (x1 + 2.0)) + (0.010559 * exp((x0 * (x0 + -2.0))))) * exp((x0 * (2.0 - x0)))) +kotanchek,115,GOMEA,GOMEA,26,1,kept,5.0,4.0,-0.002850-0.007989*((exp(((x0+x0)-(x0*x0)))*((0.141000+exp(x1))-((5.595000-x1)+(x1*16.435000))))),(0.123310215*x1 - 0.007989*exp(x1) - 0.00285*exp(x0*(x0 - 2)) + 0.043572006)*exp(x0*(2 - x0)),saturated,350.830375,25,5,23,4,160,172,64,2,50,(-0.00285 - (0.007989 * (exp(((x0 + x0) - (x0 * x0))) * (((-5.454 + exp(x1)) + x1) - (x1 * 16.435))))),saturated,814.101208,26,6,26,6,812,837,202,2,62,(((((0.123310215 * x1) + (-0.007989 * exp(x1))) + (-0.00285 * exp((x0 * (x0 + -2.0))))) + 0.043572006) * exp((x0 * (2.0 - x0)))) +kotanchek,111,GOMEA,GOMEA,22,1,kept,4.0,4.0,0.005151-0.019625*((exp(((x0+x0)-(x0*x0)))*(((x1-4.022000)*(x1*x1))+((-1.303000-0.050000)-x1)))),(x1**2*(0.07893175 - 0.019625*x1) + 0.019625*x1 + 0.005151*exp(x0*(x0 - 2)) + 0.026552625)*exp(x0*(2 - x0)),saturated,317.139625,26,5,24,4,101,112,52,2,52,(0.005151 - (0.019625 * (exp(((x0 + x0) - (x0 * x0))) * (((x1 - 4.022) * (x1 * x1)) + (-1.353 - x1))))),saturated,2594.989875,31,7,29,6,232,245,81,2,71,((((0.019625 * (x1 + ((x1 ** 2.0) * (4.021999999999999 - x1)))) + (0.005151 * exp((x0 * (x0 + -2.0))))) + 0.026552625) * exp((x0 * (2.0 - x0)))) +kotanchek,117,GOMEA,GOMEA,28,1,kept,5.0,4.0,-0.002065-0.007572*((exp(((x0+x0)-(x0*x0)))*(((x1+2.326000)-(7.014000-x1))+(exp(x1)-(18.337000*x1))))),(0.123703764*x1 - 0.007572*exp(x1) - 0.002065*exp(x0*(x0 - 2)) + 0.035497536)*exp(x0*(2 - x0)),saturated,350.946542,27,5,25,4,233,245,72,2,53,(-0.002065 - (0.007572 * (exp(((x0 + x0) - (x0 * x0))) * (((-4.688000000000001 + x1) + x1) + (exp(x1) - (18.337 * x1)))))),saturated,571.819917,26,6,26,6,582,603,152,2,62,(((((0.123703764 * x1) + (-0.007572 * exp(x1))) + (-0.002065 * exp((x0 * (x0 + -2.0))))) + 0.035497536) * exp((x0 * (2.0 - x0)))) +kotanchek,118,GOMEA,GOMEA,29,1,kept,5.0,4.0,0.000258-0.008126*((exp(((x0+x0)-(x0*x0)))*(((1.637000-17.444000)*(-1.529000+x1))-((20.873000+7.266000)-exp(x1))))),(0.128447682*x1 - 0.008126*exp(x1) + 0.000258*exp(x0*(x0 - 2)) + 0.0322610082220001)*exp(x0*(2 - x0)),saturated,351.297250,27,7,21,4,90,100,47,2,47,(0.000258 - (0.008126 * (exp(((x0 + x0) - (x0 * x0))) * ((-15.806999999999999 * (0.25116068830265115 + x1)) + exp(x1))))),saturated,551.404708,26,6,26,6,647,669,167,2,62,(((((0.128447682 * x1) + (-0.008126 * exp(x1))) + (0.000258 * exp((x0 * (x0 + -2.0))))) + 0.0322610082220001) * exp((x0 * (2.0 - x0)))) +kotanchek,116,GOMEA,GOMEA,27,1,kept,4.0,3.0,0.013200-0.015123*(((((-5.053000*x1)*(5.158000-x1))*(exp(x0)*(x1*x1)))*exp(((x0-x1)-(x0*x0))))),(x1**3*(0.394156405002 - 0.076416519*x1)*exp(x0) + 0.0132*exp(x0**2 - x0 + x1))*exp(-x0**2 + x0 - x1),saturated,2406.856417,27,4,25,3,874,883,130,2,49,(0.0132 - ((((-0.076416519 * x1) * (5.158 - x1)) * (exp(x0) * (x1 * x1))) * exp(((x0 - x1) - (x0 * x0))))),saturated,361.385125,34,4,32,3,195,204,64,2,71,(((((x1 ** 3.0) * (0.076416519 * (5.1579999999999995 - x1))) * exp(x0)) + (0.0132 * exp((((x0 ** 2.0) - x0) + x1)))) * exp(((x0 - (x0 ** 2.0)) - x1))) +kotanchek,119,GOMEA,GOMEA,30,1,kept,6.0,5.0,0.004369-0.000167*((exp(((x0+x0)-(x0*x0)))*(((x1*(-8.637000))*(4.502000-x1))*((11.197000-x1)*(1.581000+x1))))),(0.001442379*x1*(x1 - 11.197)*(x1 - 4.502)*(x1 + 1.581) + 0.004369*exp(x0*(x0 - 2)))*exp(x0*(2 - x0)),saturated,2219.957917,28,6,26,5,704,715,118,2,59,(0.004369 - (((-0.001442379 * ((4.502 - x1) * x1)) * ((11.197 - x1) * (1.581 + x1))) * exp(((x0 + x0) - (x0 * x0))))),saturated,412.945042,31,7,31,7,449,460,92,2,74,((((((0.001442379 * x1) * (x1 + -11.197)) * (x1 + -4.502)) * (x1 + 1.581)) + (0.004369 * exp((x0 * (x0 + -2.0))))) * exp((x0 * (2.0 - x0)))) +kotanchek,121,Operon,Operon,2,1,kept,13.0,10.0,(0.0019190539605916 + (0.9954085946083069 * ((exp((3.0602750778198242 * x0)) / exp(((exp(((0.4211926460266113 * x0) + 1.6726008653640747)) - ((1.3422309160232544 * x1) - exp(((-1.2979059219360352) * x0)))) + ((0.0003775433578994 * x1) * (1131.5198974609375000 * x1))))) * ((((-0.0027062874287367) * x1) * ((-6793.8808593750000000) * x1)) + (((-24.5153598785400391) * x1) - (-29.1849021911621094)))))),(18.30177589013476524*x1**2 - 24.4027999230144136*x1 + 29.0509024738855719)*exp(3.0602750778198242*x0 + ((-0.42719782161738710485*x1**2 + 1.3422309160232544*x1 - 5.3260020130810325*exp(0.4211926460266113*x0))*exp(1.2979059219360352*x0) - 1)*exp(-1.2979059219360352*x0)) + 0.0019190539605916,saturated,934.367375,47,13,37,10,177,192,78,2,94,(0.0019190539605916 + ((18.301775890134767 * ((x1 * (x1 + -1.3333569413975992)) + 1.5873269702501889)) * (exp((3.060275077819824 * x0)) / exp((((x1 * ((0.4271978216173871 * x1) + -1.3422309160232544)) + exp(((0.4211926460266113 * x0) + 1.6726008653640747))) + exp((-1.2979059219360352 * x0))))))),saturated,649.280583,47,12,47,12,691,731,246,2,125,(((((18.301775890134767 * (x1 ** 2.0)) + (-24.402799923014413 * x1)) + 29.05090247388557) * exp(((3.060275077819824 * x0) + ((((((-0.4271978216173871 * (x1 ** 2.0)) + (1.3422309160232544 * x1)) + (-5.326002013081032 * exp((0.4211926460266113 * x0)))) * exp((1.2979059219360352 * x0))) + -1.0) * exp((-1.2979059219360352 * x0)))))) + 0.0019190539605916) +kotanchek,122,Operon,Operon,3,1,kept,11.0,10.0,((-0.0000014371197494) + (1.0000287294387817 * ((((((0.0082893725484610 * x1) - (-0.0444908216595650)) / exp(log((exp((0.3769945502281189 * x1)) + ((-0.9402246475219727) * x1))))) - (exp((0.0002179348812206 * x1)) + (-1.0048899650573730))) / exp(((0.3332124650478363 * x0) * (3.0010888576507568 * x0)))) / exp(((-2.0000004768371582) * x0))))),((-1.351215409826481e-6*x1 + 1.4371197494e-6*exp(0.3769945502281189*x1))*exp(1.0000002160854038*x0**2) - (0.00828961069748217*x1 + 1.0000287294387817*(0.9402246475219727*x1 - exp(0.3769945502281189*x1))*(exp(0.0002179348812206*x1) - 1.004889965057373) + 0.044492099855902216)*exp(2.0000004768371582*x0))*exp(-1.0000002160854038*x0**2)/(0.9402246475219727*x1 - exp(0.3769945502281189*x1)),saturated,380.096875,41,11,37,10,187,205,91,2,94,(-1.4371197494e-06 + (((((0.008289372548461 * x1) + 0.044490821659565) / (exp((0.3769945502281189 * x1)) + (-0.9402246475219727 * x1))) - (exp((0.0002179348812206 * x1)) + -1.004889965057373)) * ((1.0000287294387817 / exp((1.0000002160854038 * (x0 * x0)))) / exp((-2.000000476837158 * x0))))),saturated,621.935834,62,15,62,15,552,581,186,2,158,((((1.4371197494e-06 * (exp((0.3769945502281189 * x1)) + (-0.9402246475219729 * x1))) * exp((1.0000002160854038 * (x0 ** 2.0)))) - ((((0.00828961069748217 * x1) + ((1.0000287294387817 * ((0.9402246475219727 * x1) - exp((0.3769945502281189 * x1)))) * (exp((0.0002179348812206 * x1)) - 1.004889965057373))) + 0.04449209985590222) * exp((2.000000476837158 * x0)))) * (exp((-1.0000002160854038 * (x0 ** 2.0))) / ((0.9402246475219727 * x1) - exp((0.3769945502281189 * x1))))) +kotanchek,123,Operon,Operon,4,1,kept,12.0,10.0,(0.0000182324292837 + (0.9999566078186035 * ((((exp(((-1.0928704738616943) * x0)) + (2.6822447776794434 * x0)) / (7.4495120048522949 - ((((-3.5652680397033691) * x1) - (-17.8263320922851562)) * (0.2804658412933350 * x1)))) / (exp(exp((0.5965437889099121 * x0))) + ((-1.4266524314880371) * x0))) / (exp((0.4577265381813049 * x0)) + ((-0.9410613179206848) * x0))))),1.82324292837e-5 + 0.9999566078186035*(2.6822447776794434*x0 + exp(-1.0928704738616943*x0))/((0.9410613179206848*x0 - exp(0.4577265381813049*x0))*(1.4266524314880371*x0 - exp(exp(0.5965437889099121*x0)))*(0.280465841293335*x1*(3.5652680397033691*x1 - 17.8263320922851562) + 7.4495120048522949)),saturated,2207.063833,43,12,39,10,292,305,99,2,97,(1.82324292837e-05 + ((-1.0000207089543987 / (-7.449989547754554 - (x1 * (x1 + -4.999997726333168)))) * (((exp((-1.0928704738616943 * x0)) + (2.6822447776794434 * x0)) / (exp(exp((0.5965437889099121 * x0))) + (-1.426652431488037 * x0))) / (exp((0.4577265381813049 * x0)) + (-0.9410613179206848 * x0))))),saturated,520.068000,43,12,39,10,117,130,64,2,97,(1.82324292837e-05 + ((1.0000207089543989 * ((2.6822447776794434 * x0) + exp((-1.0928704738616943 * x0)))) / ((((0.9410613179206848 * x0) - exp((0.4577265381813049 * x0))) * ((1.426652431488037 * x0) - exp(exp((0.5965437889099121 * x0))))) * ((x1 * (x1 + -4.999997726333168)) + 7.449989547754554)))) +kotanchek,120,Operon,Operon,1,1,kept,14.0,8.0,((-0.0000644577157800) + (1.0001556873321533 * ((((-0.0006379182450473) - (0.0003036445996258 * x1)) + (((1.0098193883895874 * x1) * ((-2.1118876934051514) * x1)) * (0.0005665634525940 * x1))) * (exp((1.9995476007461548 * x0)) * ((((2.9050014019012451 * x1) * ((-1.6316955089569092) * x1)) + ((-83.5919265747070312) - ((-39.5477447509765625) * x1))) / exp(((0.0681112110614777 * x0) * (14.6775512695312500 * x0)))))))),(1.0001556873321533*(4.7400777409957869*x1**2 - 39.5477447509765625*x1 + 83.5919265747070312)*(0.0012082674617850116*x1**3 + 0.0003036445996258*x1 + 0.0006379182450473)*exp(1.9995476007461548*x0) - 6.445771578e-5*exp(0.999705792384702974*x0**2))*exp(-0.999705792384702974*x0**2),saturated,1616.727458,49,14,35,8,884,902,158,2,84,(-6.445771578e-05 + (((0.047791692572478874 * ((2.113696421908935 - x1) + (0.11985709351678615 * (x1 * x1)))) * (exp((1.9995476007461548 * x0)) / exp((0.999705792384703 * (x0 * x0))))) * ((x1 * ((x1 * x1) + 0.25130578222905736)) + 0.5279611222045848))),saturated,4502.503542,46,11,42,9,291,312,114,2,114,((((0.005728173365985095 * ((((x1 ** 2.0) - (8.343269227198043 * x1)) + 17.63513831255143) * (((x1 ** 3.0) + (0.25130578222905736 * x1)) + 0.5279611222045848))) * exp((1.9995476007461548 * x0))) - (6.445771578e-05 * exp((0.999705792384703 * (x0 ** 2.0))))) * exp((-0.999705792384703 * (x0 ** 2.0)))) +kotanchek,126,Operon,Operon,7,1,kept,12.0,10.0,((-0.0000124719463201) + (0.9946426749229431 * (exp(((exp(exp(((1.1653105020523071 * x1) - exp((0.4197142422199249 * x1))))) - ((0.9311969876289368 * x0) * (1.0738922357559204 * x0))) - (((-1.9999958276748657) * x0) - (-5.5033035278320312)))) * (exp((0.2837287485599518 * x1)) - ((-2.8964312076568604) - (((-0.2071333527565002) * x1) - exp(((-0.6339063644409180) * x1)))))))),(((-0.00083919477106758292*x1 + 0.0040514709963398087*exp(0.2837287485599518*x1) + 0.011734807030715255)*exp(0.633906364440918*x1) - 0.0040514709963398087)*exp(-1.0000052149740171*x0**2 + 1.9999958276748657*x0 + exp(exp(1.1653105020523071*x1 - exp(0.4197142422199249*x1)))) - 1.24719463201e-5*exp(0.633906364440918*x1))*exp(-0.633906364440918*x1),saturated,1146.160208,45,12,41,11,259,280,109,2,103,(-1.24719463201e-05 + (0.9946426749229431 * (exp((((x0 * (1.9999958276748657 + (-1.000005214974017 * x0))) + exp(exp(((1.1653105020523071 * x1) - exp((0.4197142422199249 * x1)))))) + -5.503303527832031)) * (exp((0.2837287485599518 * x1)) - (-2.8964312076568604 - ((-0.2071333527565002 * x1) - exp((-0.633906364440918 * x1)))))))),saturated,324.412458,53,13,53,13,411,442,170,1,132,((((((((-0.000839194771067583 * x1) + (0.004051470996339809 * exp((0.2837287485599518 * x1)))) + 0.011734807030715255) * exp((0.633906364440918 * x1))) - 0.004051470996339809) * exp((((-1.000005214974017 * (x0 ** 2.0)) + (1.9999958276748657 * x0)) + exp(exp(((1.1653105020523071 * x1) - exp((0.4197142422199249 * x1)))))))) - (1.24719463201e-05 * exp((0.633906364440918 * x1)))) * exp((-0.633906364440918 * x1))) +kotanchek,127,Operon,Operon,8,1,kept,14.0,9.0,((-0.0148077905178070) + (1.0382655858993530 * (((((0.0000003963598942 * x0) * (1793.5753173828125000 * x0)) + (0.0000325083929056 * x1)) * ((((68.1199569702148438 * x0) + 50.2617149353027344) + ((0.1230096146464348 * x1) * (355.7100830078125000 * x0))) * (exp(((-2.7948594093322754) * x0)) * (exp(((-3.0556442737579346) * x1)) + (2.6853957176208496 * x1))))) * (((-5.3364686965942383) * x1) + 22.9583053588867188)))),(-1.038265585899353*(0.00071090132303758300646*x0**2 + 3.25083929056e-5*x1)*(5.3364686965942383*x1 - 22.9583053588867188)*(2.6853957176208496*x1*exp(3.0556442737579346*x1) + 1)*(43.75576023664235082*x0*x1 + 68.1199569702148438*x0 + 50.2617149353027344) - 0.014807790517807*exp(2.7948594093322754*x0 + 3.0556442737579346*x1))*exp(-2.7948594093322754*x0 - 3.0556442737579346*x1),saturated,1853.466458,49,14,37,9,663,675,114,2,91,(-0.014807790517807 + ((-0.007881214714052953 * (((x1 + -4.302153102395002) * (x1 + (21.868239537461754 * (x0 * x0)))) * ((x0 * (x1 + 1.556822612652704)) + 1.1486879593332286))) * (exp((-2.7948594093322754 * x0)) * (exp((-3.0556442737579346 * x1)) + (2.6853957176208496 * x1))))),saturated,789.683833,60,16,50,12,1072,1106,246,2,126,((((-0.021164180242768227 * ((x0 * (x1 + 1.556822612652704)) + 1.1486879593332286)) * (((x1 - 4.302153102395002) * (x1 + (21.868239537461754 * (x0 ** 2.0)))) * ((exp((3.0556442737579346 * x1)) * x1) + 0.37238459622105863))) - (0.014807790517807 * exp((2.7948594093322754 * (x0 - (-1.0933087594871056 * x1)))))) * exp((-2.7948594093322754 * (x0 - (-1.0933087594871056 * x1))))) +kotanchek,128,Operon,Operon,9,1,kept,12.0,11.0,(0.0000034507245346 + (0.9999927282333374 * exp(((((2.4630110263824463 * x0) * (((-0.4060201048851013) * x0) + 0.8120366930961609)) - ((((-0.8767948746681213) * x1) / (((-0.3692416250705719) * x1) + exp((0.4968747496604919 * x1)))) + (0.7100588083267212 * x1))) - exp(((1.4052648544311523 - exp((0.1799458712339401 * x1))) * exp(exp((0.2937204837799072 * x1))))))))),0.9999927282333374*exp(-2.4630110263824463*x0*(0.4060201048851013*x0 - 0.8120366930961609) - 0.7100588083267212*x1 - 0.8767948746681213*x1/(0.3692416250705719*x1 - exp(0.4968747496604919*x1)) - exp(-(exp(0.1799458712339401*x1) - 1.4052648544311523)*exp(exp(0.2937204837799072*x1)))) + 3.4507245346e-6,saturated,1354.188125,45,12,41,11,116,130,67,2,103,(3.4507245346e-06 + (0.9999927282333374 * exp(((((-1.000031995264962 * x0) * (x0 + -1.9999913386701804)) + (x1 * (-0.7100588083267212 + (0.8767948746681213 / ((-0.3692416250705719 * x1) + exp((0.4968747496604919 * x1))))))) - exp(((1.4052648544311523 - exp((0.1799458712339401 * x1))) * exp(exp((0.2937204837799072 * x1))))))))),saturated,1433.899625,47,13,41,11,115,129,67,2,103,((0.9999927282333374 * exp((((x1 * (-0.7100588083267212 + (-0.8767948746681213 / ((0.3692416250705719 * x1) - exp((0.4968747496604919 * x1)))))) + (-1.000031995264962 * (x0 * (x0 + -1.9999913386701804)))) - exp(((1.4052648544311523 - exp((0.1799458712339401 * x1))) * exp(exp((0.2937204837799072 * x1)))))))) + 3.4507245346e-06) +kotanchek,125,Operon,Operon,6,1,kept,12.0,11.0,(0.0015015223762020 + (0.9966979622840881 * ((exp(1.7057397365570068) + ((2.2468583583831787 * x1) + (((2.7354996204376221 * x1) + ((-5.6414661407470703) * exp((0.1865983307361603 * x1)))) / exp(((-0.6834985017776489) * x1))))) * (((0.0036516967229545 * x1) - exp((1.9130901098251343 * x0))) / (exp(exp((0.7873576283454895 * x0))) + ((-2.2153601646423340) * x0)))))),(0.0033264128585570114*x0 - 0.9966979622840881*(0.0036516967229545*x1 - exp(1.9130901098251343*x0))*(2.2468583583831787*x1 + (2.7354996204376221*x1 - 5.6414661407470703*exp(0.1865983307361603*x1))*exp(0.6834985017776489*x1) + 5.5054567488820503) - 0.001501522376202*exp(exp(0.7873576283454895*x0)))/(2.215360164642334*x0 - exp(exp(0.7873576283454895*x0))),saturated,575.912041,45,12,42,11,153,167,73,2,105,(0.001501522376202 + ((-5.622837806777284 * (((exp((0.1865983307361603 * x1)) + (-0.48489161366753747 * x1)) / exp((-0.6834985017776489 * x1))) + (-0.3982756082066352 * (x1 + 2.4502909710978544)))) * (((0.0036516967229545 * x1) - exp((1.9130901098251343 * x0))) / (exp(exp((0.7873576283454895 * x0))) + (-2.215360164642334 * x0))))),saturated,7280.360042,54,14,52,13,375,402,152,2,127,((((0.0033264128585570115 * x0) - ((2.2394391473414856 * ((0.0036516967229545 * x1) - exp((1.9130901098251343 * x0)))) * ((x1 + 2.4502909710978544) + (-2.5108241112299683 * (exp((0.6834985017776489 * x1)) * (exp((0.1865983307361603 * x1)) + (-0.48489161366753747 * x1))))))) - (0.001501522376202 * exp(exp((0.7873576283454895 * x0))))) / ((2.215360164642334 * x0) - exp(exp((0.7873576283454895 * x0))))) +kotanchek,130,Operon,Operon,11,1,kept,13.0,10.0,(0.0006644097738899 + (0.9983761310577393 * ((((exp((0.3564732372760773 * x1)) * ((2.8750302791595459 * x1) + (-16.9938793182373047))) + (8.4957685470581055 + 8.5495948791503906)) + (3.2266986370086670 * x1)) / exp((((((-0.4841774106025696) * x0) + 0.9682721495628357) * ((-2.0647206306457520) * x0)) + ((0.0918822064995766 * x1) * ((3.7386786937713623 * x1) + (-3.2311415672302246)))))))),(3.2214589013059937*x1 + (2.8703616067811596*x1 - 16.9662834854038927)*exp(0.3564732372760773*x1) + 0.0006644097738899*exp(2.064720630645752*x0*(0.4841774106025696*x0 - 0.9682721495628357) + 0.0918822064995766*x1*(3.7386786937713623*x1 - 3.2311415672302246)) + 17.01768398993113)*exp(-2.064720630645752*x0*(0.4841774106025696*x0 - 0.9682721495628357) - 0.0918822064995766*x1*(3.7386786937713623*x1 - 3.2311415672302246)),saturated,964.767708,43,14,35,10,192,208,85,2,92,(0.0006644097738899 + ((3.2214589013059935 * ((x1 + 5.282601613521155) + (0.8910129524289453 * (exp((0.3564732372760773 * x1)) * (x1 + -5.9108522930774505))))) / exp((((0.9996910885637647 * x0) * (x0 + -1.999829253408992)) + ((0.3435180477766676 * x1) * (x1 + -0.8642469256888284)))))),saturated,2557.382708,60,18,52,14,883,921,256,2,133,(((((3.2214589013059935 * x1) + ((2.8703616067811595 * (x1 - 5.9108522930774505)) * exp((0.3564732372760773 * x1)))) + (0.0006644097738899 * exp((0.9996910885637647 * ((x0 * (x0 - 1.999829253408992)) - (-0.34362419722095633 * (x1 * (x1 - 0.8642469256888284)))))))) + 17.01768398993113) * exp(((-0.9996910885637647 * (x0 * (x0 - 1.999829253408992))) - (0.3435180477766676 * (x1 * (x1 - 0.8642469256888284)))))) +kotanchek,131,Operon,Operon,12,1,kept,14.0,12.0,((-0.0007296766270883) + (1.0011714696884155 * (((((-796.1662597656250000) * x0) - (-3327.3220214843750000)) + ((((-416.2025756835937500) * x0) + 5066.6352539062500000) / ((1.3030259609222412 * x0) - exp((0.6703483462333679 * x0))))) / (((-34525.6953125000000000) - exp((2.9498600959777832 * x0))) - ((((-0.1925518661737442) * x0) + ((-19.2132587432861328) * x1)) * (((-239.9505157470703125) * x1) + 1202.1625976562500000)))))),1.0011714696884155*(796.166259765625*x0 - 3327.322021484375 + (416.20257568359375*x0 - 5066.63525390625)/(1.3030259609222412*x0 - exp(0.6703483462333679*x0)))/((0.1925518661737442*x0 + 19.2132587432861328*x1)*(239.9505157470703125*x1 - 1202.16259765625) + exp(2.9498600959777832*x0) + 34525.6953125) - 0.0007296766270883,saturated,424.885083,45,14,41,12,150,166,78,2,109,(-0.0007296766270883 + ((-797.0989444058796 / ((-34525.6953125 - exp((2.949860095977783 * x0))) + (-46.20291959645078 * ((x1 + -5.010043816381869) * (x0 + (99.7822515308657 * x1)))))) * ((x0 + -4.179179889466643) + (0.522758369346266 * ((x0 + -12.173483658971914) / ((1.3030259609222412 * x0) - exp((0.6703483462333679 * x0)))))))),saturated,423.528417,45,14,41,12,192,215,102,2,109,(((797.0989444058796 * ((x0 - 4.179179889466643) + ((0.522758369346266 * (x0 - 12.173483658971914)) / ((1.3030259609222412 * x0) - exp((0.6703483462333679 * x0)))))) / ((((46.20291959645078 * (x1 - 5.010043816381869)) * (x0 + (99.7822515308657 * x1))) + exp((2.949860095977783 * x0))) + 34525.6953125)) - 0.0007296766270883) +kotanchek,132,Operon,Operon,13,1,kept,12.0,10.0,(0.0036648171953857 + (0.9917431473731995 * (((0.7433260083198547 * x1) / ((exp(exp((0.5352578163146973 * x0))) * (exp((2.5961806774139404 * x1)) - (1.9263886213302612 - (297.5476074218750000 * x1)))) * exp(((-1.0667701959609985) * x1)))) / exp(((exp(((-0.1313982456922531) * x0)) * ((-6.9308919906616211) * x0)) - (((-4.3688435554504395) * x0) + 3.7469267845153809)))))),(31.249866299263655*x1*exp(x0*(6.9308919906616211 - 4.3688435554504395*exp(0.1313982456922531*x0))*exp(-0.1313982456922531*x0) + 1.0667701959609985*x1) + (1.090457588125561273*x1 + 0.0036648171953857*exp(2.5961806774139404*x1) - 0.0070598621444464934)*exp(exp(0.5352578163146973*x0)))*exp(-exp(0.5352578163146973*x0))/(297.547607421875*x1 + exp(2.5961806774139404*x1) - 1.9263886213302612),saturated,409.750500,45,12,41,11,227,247,104,2,103,(0.0036648171953857 + (((0.7371884750154898 * x1) / ((exp(exp((0.5352578163146973 * x0))) * ((exp((2.5961806774139404 * x1)) + -1.9263886213302612) + (297.547607421875 * x1))) * exp((-1.0667701959609985 * x1)))) / exp(((x0 * ((exp((-0.1313982456922531 * x0)) * -6.930891990661621) + 4.3688435554504395)) + -3.746926784515381)))),saturated,687.828417,62,16,62,16,699,727,205,2,153,((((31.249866299263655 * x1) * exp((((x0 * (6.930891990661621 + (-4.3688435554504395 * exp((0.1313982456922531 * x0))))) * exp((-0.1313982456922531 * x0))) + (1.0667701959609985 * x1)))) + ((((1.0904575881255614 * x1) + (0.0036648171953857 * exp((2.5961806774139404 * x1)))) + -0.007059862144446493) * exp(exp((0.5352578163146973 * x0))))) * (exp((-1.0 * exp((0.5352578163146973 * x0)))) / (((297.547607421875 * x1) + exp((2.5961806774139404 * x1))) + -1.9263886213302612))) +kotanchek,133,Operon,Operon,14,1,kept,14.0,11.0,((-0.0022257824894041) + (1.0057435035705566 * (((exp(((((-0.7701046466827393) * x1) - (-3.8445262908935547)) * (1.3931946754455566 * x1))) + (((15.1122426986694336 * x1) - (-13.2947568893432617)) * (((-2.5437910556793213) * x1) - (-15.1461124420166016)))) / (exp((2.8625166416168213 * x0)) + (((-3.6063053607940674) * x0) + 62.3201675415039062))) * ((0.0344910286366940 * x0) + 0.0158514883369207)))),-1.0057435035705566*(0.034491028636694*x0 + 0.0158514883369207)*((2.5437910556793213*x1 - 15.1461124420166016)*(15.1122426986694336*x1 + 13.2947568893432617) - exp(-1.3931946754455566*x1*(0.7701046466827393*x1 - 3.8445262908935547)))/(-3.6063053607940674*x0 + exp(2.8625166416168213*x0) + 62.3201675415039062) - 0.0022257824894041,saturated,355.063625,43,14,37,11,184,199,79,2,99,(-0.0022257824894041 + ((exp(((-1.072905693294274 * x1) * (x1 + -4.992212821275688))) + (-38.442387808130434 * ((x1 + 0.87973420983464) * (x1 + -5.954149578520246)))) * (0.034689127982821026 * ((x0 + 0.4595829397809482) / (exp((2.8625166416168213 * x0)) + ((-3.6063053607940674 * x0) + 62.320167541503906)))))),saturated,356.615458,43,14,37,11,202,222,94,2,99,((((-0.034689127982821026 * (x0 + 0.4595829397809482)) * ((38.442387808130434 * ((x1 + 0.87973420983464) * (x1 - 5.954149578520246))) - exp((-1.072905693294274 * (x1 * (x1 - 4.992212821275688)))))) / (((-3.6063053607940674 * x0) + exp((2.8625166416168213 * x0))) + 62.320167541503906)) - 0.0022257824894041) +kotanchek,134,Operon,Operon,15,1,kept,13.0,12.0,(0.0003700088418555 + (0.9992044568061829 * (((exp((0.1231540888547897 * x1)) * (((((-2.6712670326232910) * x0) - 1.5445685386657715) * ((1.0232990980148315 * x0) - exp(((-4.9796590805053711) * x0)))) - (((-10.8486871719360352) * x0) - 0.5861128568649292))) / (exp((2.4178924560546875 * x0)) - (-42.5792884826660156))) / (exp((0.3763327002525330 * x1)) - (0.9377985596656799 * x1))))),0.0003700088418555 - 0.9992044568061829*(10.8486871719360352*x0 - (1.0232990980148315*x0 - exp(-4.9796590805053711*x0))*(2.671267032623291*x0 + 1.5445685386657715) + 0.5861128568649292)*exp(0.1231540888547897*x1)/((0.9377985596656799*x1 - exp(0.376332700252533*x1))*(exp(2.4178924560546875*x0) + 42.5792884826660156)),saturated,800.116333,45,13,43,12,311,327,100,2,111,(0.0003700088418555 + ((10.84005657269455 * ((x0 + 0.05402615519978466) + (-0.24622951978313723 * (((1.0232990980148315 * x0) - exp((-4.979659080505371 * x0))) * (x0 + 0.5782157005654891))))) * ((exp((0.1231540888547897 * x1)) / (exp((2.4178924560546875 * x0)) + 42.579288482666016)) / (exp((0.376332700252533 * x1)) + (-0.9377985596656799 * x1))))),saturated,753.567000,45,13,43,12,257,277,107,2,111,(0.0003700088418555 - (((10.84005657269455 * ((x0 - (0.24622951978313723 * (((1.0232990980148315 * x0) - exp((-4.979659080505371 * x0))) * (x0 + 0.5782157005654891)))) + 0.05402615519978466)) * exp((0.1231540888547897 * x1))) / (((0.9377985596656799 * x1) - exp((0.376332700252533 * x1))) * (exp((2.4178924560546875 * x0)) + 42.579288482666016)))) +kotanchek,135,Operon,Operon,16,1,kept,12.0,11.0,((-0.0158226937055588) + (1.0497971773147583 * (((exp(((-0.3585180342197418) * x1)) - ((((exp((1.7362647056579590 * x1)) - (-7144.3906250000000000)) + ((-3211.7934570312500000) * x1)) / (exp((3.3592488765716553 * x1)) - (-8749.7304687500000000))) - (-252.0166625976562500))) - (-251.8914642333984375)) / (exp((0.7833101749420166 * x0)) + log(exp(((-1.7847769260406494) * x0))))))),-0.0158226937055588 - 1.0497971773147583*(0.1251983642578125 - exp(-0.3585180342197418*x1) + (-3211.79345703125*x1 + exp(1.736264705657959*x1) + 7144.390625)/(exp(3.3592488765716553*x1) + 8749.73046875))/(exp(0.7833101749420166*x0) + log(exp(-1.7847769260406494*x0))),saturated,297.340959,41,12,37,11,125,140,70,2,98,(-0.0158226937055588 + ((-0.1251983642578125 + (exp((-0.3585180342197418 * x1)) - (((exp((1.736264705657959 * x1)) + 7144.390625) + (-3211.79345703125 * x1)) / (exp((3.3592488765716553 * x1)) + 8749.73046875)))) * (1.0497971773147583 / (exp((0.7833101749420166 * x0)) + (-1.7847769260406494 * x0))))),saturated,301.579584,39,11,37,11,150,168,83,2,98,(-0.0158226937055588 - ((1.0497971773147583 * ((0.1251983642578125 - exp((-0.3585180342197418 * x1))) + ((((-3211.79345703125 * x1) + exp((1.736264705657959 * x1))) + 7144.390625) / (exp((3.3592488765716553 * x1)) + 8749.73046875)))) / (exp((0.7833101749420166 * x0)) + (-1.7847769260406494 * x0)))) +kotanchek,99,GOMEA,GOMEA,10,1,kept,4.0,4.0,0.001573-0.008457*((exp(((x0+x0)-(x0*x0)))*(((x1-x0)-(2.400000+x1))+(exp(x1)+(-15.584000*x1))))),(0.008457*x0 + 0.131793888*x1 - 0.008457*exp(x1) + 0.001573*exp(x0*(x0 - 2)) + 0.0202968)*exp(x0*(2 - x0)),saturated,278.971209,27,4,27,4,170,182,67,1,56,(0.001573 - (0.008457 * (exp(((x0 + x0) - (x0 * x0))) * (((x1 - x0) - (2.4 + x1)) + (exp(x1) + (-15.584 * x1)))))),saturated,32502.601000,30,7,28,6,159,171,66,2,65,((((0.008457 * ((x0 + (15.584000000000001 * x1)) - exp(x1))) + (0.001573 * exp((x0 * (x0 + -2.0))))) + 0.0202968) * exp((x0 * (2.0 - x0)))) +kotanchek,136,Operon,Operon,17,1,kept,11.0,8.0,((-0.0000000143612136) + (1.0000000000000000 * (((0.0493797957897186 - (0.0001029339036904 * x0)) / (exp(((-0.0000001355219865) * x0)) + (((-0.0032123271375895) * x1) * (((-41.7853355407714844) * x1) + 208.9266815185546875)))) / exp((((-1.8152447938919067) * x0) * (1.1029279232025146 - (0.5508886575698853 * x0))))))),-1.0*(0.0001029339036904*x0 - 0.0493797957897186)*exp(-1.8152447938919067*x0*(0.5508886575698853*x0 - 1.1029279232025146))/(0.0032123271375895*x1*(41.7853355407714844*x1 - 208.9266815185546875) + exp(-1.355219865e-7*x0)) - 1.43612136e-8,saturated,385.695083,35,11,29,8,149,161,66,2,75,(-1.43612136e-08 + (((0.0493797957897186 + (-0.0001029339036904 * x0)) / (exp((-1.355219865e-07 * x0)) + ((0.13422816731090328 * x1) * (x1 + -5.000000091292728)))) / exp(((-0.9999977676678355 * x0) * (2.0020886399582447 - x0))))),saturated,377.447833,35,11,29,8,230,249,94,2,75,((((0.0493797957897186 - (0.0001029339036904 * x0)) * exp((-0.9999977676678355 * (x0 * (x0 - 2.0020886399582447))))) / ((0.13422816731090328 * (x1 * (x1 - 5.000000091292728))) + exp((-1.355219865e-07 * x0)))) - 1.43612136e-08) +kotanchek,137,Operon,Operon,18,1,kept,13.0,11.0,((-0.0000026597272154) + (1.0000067949295044 * ((exp(((1.3812974691390991 * x0) * (((-0.7240105271339417) * x0) + 1.4479488134384155))) * (((-0.0016091535799205) * x1) - (-0.0074326260946691))) * (exp((1.1061540842056274 * x1)) - ((((-4.3172826766967773) * x1) + (-5.3209042549133301)) - exp((((3.6427340507507324 * x1) - 0.0311711747199297) - exp((0.6457238197326660 * x1))))))))),(-1.0000067949295044*(0.0016091535799205*x1 - 0.0074326260946691)*(4.3172826766967773*x1 + exp(1.1061540842056274*x1) + 0.969309637568713*exp(3.6427340507507324*x1 - exp(0.645723819732666*x1)) + 5.3209042549133301) - 2.6597272154e-6*exp(1.3812974691390991*x0*(0.7240105271339417*x0 - 1.4479488134384155)))*exp(-1.3812974691390991*x0*(0.7240105271339417*x0 - 1.4479488134384155)),saturated,392.695916,43,13,39,11,234,250,89,2,101,(-2.6597272154e-06 + (((-0.0016091645140056373 * (x1 + -4.618966261154704)) * exp(((-1.0000739087601787 * x0) * (x0 + -1.9999002212996078)))) * (((exp((1.1061540842056274 * x1)) + (4.317282676696777 * x1)) + 5.32090425491333) + exp((((3.6427340507507324 * x1) + -0.0311711747199297) - exp((0.645723819732666 * x1))))))),saturated,540.190958,54,16,48,13,332,357,134,2,122,((((-0.0016091645140056373 * (x1 - 4.618966261154704)) * ((((4.317282676696777 * x1) + exp((1.1061540842056274 * x1))) + (0.969309637568713 * exp(((3.6427340507507324 * x1) - exp((0.645723819732666 * x1)))))) + 5.32090425491333)) - (2.6597272154e-06 * exp((1.0000739087601787 * (x0 * (x0 - 1.9999002212996078)))))) * exp((-1.0000739087601787 * (x0 * (x0 - 1.9999002212996078))))) +kotanchek,138,Operon,Operon,19,1,kept,12.0,12.0,(0.0034536698367447 + (0.9867714047431946 * ((((((-0.6941707730293274) * x1) + exp((0.2583339512348175 * x1))) * (((-0.6002479791641235) * x1) + exp((0.2208170741796494 * x1)))) * (exp(((-0.8911798000335693) * x0)) - (0.7564386129379272 + ((-1.2858601808547974) * x0)))) / exp(((((-2.1546506881713867) * x1) + exp((0.6885151863098145 * x0))) + exp(((-1.0648982524871826) * x0))))))),(0.9867714047431946*(0.6002479791641235*x1 - exp(0.2208170741796494*x1))*(0.6941707730293274*x1 - exp(0.2583339512348175*x1))*((1.2858601808547974*x0 - 0.7564386129379272)*exp(0.8911798000335693*x0) + 1)*exp(((2.1546506881713867*x1 - exp(0.6885151863098145*x0))*exp(1.0648982524871826*x0) - 1)*exp(-1.0648982524871826*x0)) + 0.0034536698367447*exp(0.8911798000335693*x0))*exp(-0.8911798000335693*x0),saturated,358.618458,47,12,47,12,328,344,101,2,116,(0.0034536698367447 + (0.9867714047431946 * (((((-0.6941707730293274 * x1) + exp((0.2583339512348175 * x1))) * ((-0.6002479791641235 * x1) + exp((0.2208170741796494 * x1)))) * (exp((-0.8911798000335693 * x0)) + ((1.2858601808547974 * x0) + -0.7564386129379272))) / exp((((-2.1546506881713867 * x1) + exp((0.6885151863098145 * x0))) + exp((-1.0648982524871826 * x0))))))),saturated,918.147000,66,17,64,16,519,538,134,2,156,((((((1.2688500569654266 * ((exp((0.8911798000335693 * x0)) * (x0 + -0.5882743895491591)) + 0.7776895302374424)) * ((0.6002479791641235 * x1) - exp((0.2208170741796494 * x1)))) * ((0.6941707730293274 * x1) - exp((0.2583339512348175 * x1)))) * exp((((((2.1546506881713867 * x1) - exp((0.6885151863098145 * x0))) * exp((1.0648982524871826 * x0))) + -1.0) * exp((-1.0648982524871826 * x0))))) + (0.0034536698367447 * exp((0.8911798000335693 * x0)))) * exp((-0.8911798000335693 * x0))) +kotanchek,124,Operon,Operon,5,1,kept,13.0,10.0,(0.0000468041762360 + (0.9997506737709045 * (exp(((-0.0447766110301018) * x0)) - (0.8708053827285767 + ((((4.6947760581970215 * x1) - exp((0.6812457442283630 * x1))) * ((-2.2019169330596924) * x1)) * (((exp(((-5.3575110435485840) * x0)) + (15.1773414611816406 * x0)) * exp(((-2.3313734531402588) * x0))) * ((((-0.0015166908269748) * x1) * (4.4051661491394043 * x0)) - ((-0.0298569388687611) * x0)))))))),(-2.2013679374139911*x0*x1*(0.0066812750896996385*x1 - 0.0298569388687611)*(4.6947760581970215*x1 - exp(0.681245744228363*x1))*(15.1773414611816406*x0*exp(5.357511043548584*x0) + 1)*exp(0.0447766110301018*x0) + 0.9997506737709045*exp(7.6888844966888428*x0) - 0.8705414639299889*exp(7.7336611077189446*x0))*exp(-7.7336611077189446*x0),saturated,8064.621709,49,13,41,10,852,865,175,2,100,(0.9997506737709045 * (-0.8707585668799217 + (exp((-0.0447766110301018 * x0)) + (-0.01471161275443955 * ((x0 * (x1 + -4.468748624763382)) * (((exp((-5.357511043548584 * x0)) + (15.17734146118164 * x0)) * exp((-2.331373453140259 * x0))) * (((4.6947760581970215 * x1) - exp((0.681245744228363 * x1))) * x1))))))),saturated,12237.541875,55,14,51,12,1414,1439,315,2,122,(((((((-0.22322749986795287 * (((x1 - 4.468748624763382) * x0) * ((exp((5.357511043548584 * x0)) * x0) + 0.06588769202812311))) * x1) * ((4.6947760581970215 * x1) - exp((0.681245744228363 * x1)))) * exp((0.0447766110301018 * x0))) + (0.9997506737709045 * exp((7.688884496688843 * x0)))) - (0.8705414639299889 * exp((7.7336611077189445 * x0)))) * exp((-7.7336611077189445 * x0))) +kotanchek,141,Operon,Operon,22,1,kept,13.0,10.0,(0.0000054139832173 + (0.9996626973152161 * (exp(((((-0.1160286292433739) * x0) * ((-17.2363529205322266) + (8.6183118820190430 * x0))) + exp((exp((((1.4520825147628784 * x1) + (-7.2530150413513184)) * ((-0.1153997406363487) * x1))) + (-2.4340145587921143))))) * (exp((((1.4263883829116821 * x1) + (-7.1799330711364746)) * ((-0.0031533578876406) * x1))) + (-0.9611204862594604))))),-0.9607962977390443*exp(-0.99997091406255149*x0**2 + 1.99991040252437864*x0 + 0.087684112024531059*exp(exp(-0.16756994558621315*x1**2 + 0.83699605460347808*x1))) + 0.9996626973152161*exp(-0.99997091406255149*x0**2 + 1.99991040252437864*x0 - 0.0044979130580934735*x1**2 + 0.022640898582599801*x1 + 0.087684112024531059*exp(exp(-0.16756994558621315*x1**2 + 0.83699605460347808*x1))) + 5.4139832173e-6,saturated,323.393750,41,13,35,10,136,149,66,2,91,(5.4139832173e-06 + (0.9996626973152161 * (exp((((-0.9999709140625515 * x0) * (x0 + -1.999968573485206)) + exp((exp(((-0.16756994558621316 * x1) * (x1 + -4.99490557018085))) + -2.4340145587921143)))) * (exp(((-0.004497913058093474 * x1) * (x1 + -5.033645223946721))) + -0.9611204862594604)))),saturated,1945.932417,65,15,65,15,2793,2833,711,2,175,(((-0.9607962977390443 * exp((((-0.9999709140625515 * (x0 ** 2.0)) + (1.9999104025243786 * x0)) + (0.08768411202453105 * exp(exp(((-0.16756994558621316 * (x1 ** 2.0)) + (0.836996054603478 * x1)))))))) + (0.9996626973152161 * exp((((((-0.9999709140625515 * (x0 ** 2.0)) + (1.9999104025243786 * x0)) + (-0.004497913058093474 * (x1 ** 2.0))) + (0.0226408985825998 * x1)) + (0.08768411202453105 * exp(exp(((-0.16756994558621316 * (x1 ** 2.0)) + (0.836996054603478 * x1))))))))) + 5.4139832173e-06) +kotanchek,129,Operon,Operon,10,1,kept,13.0,12.0,((-0.0019379730802029) + (1.0046592950820923 * ((((996.6720581054687500 + ((-386.7166748046875000) * x0)) + exp((1.7618920803070068 * x0))) - (((1074.8041992187500000 * x0) + 882.8044433593750000) * exp(((-1.9537824392318726) * x0)))) / (((((-15.7029571533203125) * x1) * ((-22.8576602935791016) * x1)) + 2638.8918457031250000) + (exp((2.8161077499389648 * x0)) - (1794.9840087890625000 * x1)))))),(-1079.8120291383820754*x0 + (-388.518501905768068*x0 + 1.0046592950820923*exp(1.7618920803070068*x0) + 1001.315847324258372)*exp(1.9537824392318726*x0) + (-0.695602220697333891*x1**2 + 3.4786306884278888622*x1 - 0.0019379730802029*exp(2.8161077499389648*x0) - 5.1141013585396011999)*exp(1.9537824392318726*x0) - 886.917689760768567)*exp(-1.9537824392318726*x0)/(358.932860215223628*x1**2 - 1794.9840087890625*x1 + exp(2.8161077499389648*x0) + 2638.891845703125),saturated,579.977750,44,13,40,12,287,308,113,2,107,(-0.0019379730802029 + (1.0046592950820923 * ((((996.6720581054688 + (-386.7166748046875 * x0)) + exp((1.7618920803070068 * x0))) + (-1074.80419921875 * (exp((-1.9537824392318726 * x0)) * (x0 + 0.8213630389619475)))) / (((x1 * ((358.9328602152236 * x1) + -1794.9840087890625)) + exp((2.816107749938965 * x0))) + 2638.891845703125)))),saturated,12637.621417,69,18,62,16,6391,6456,1880,2,163,((((exp((1.9537824392318726 * x0)) * (-0.6956022206973339 * (((((x1 ** 2.0) - (5.000890717313407 * x1)) - (-0.002786036361787492 * exp((2.816107749938965 * x0)))) + -1432.1428487779078) + (-1.44430144871437 * (exp((1.7618920803070068 * x0)) + (-386.7166748046875 * x0)))))) + (-1079.812029138382 * x0)) - 886.9176897607686) * (exp((-1.9537824392318726 * x0)) / (((358.9328602152236 * ((x1 ** 2.0) - (5.000890717313407 * x1))) + exp((2.816107749938965 * x0))) - -2638.891845703125))) +kotanchek,140,Operon,Operon,21,1,kept,14.0,8.0,(0.0000354178737325 + (0.9998701810836792 * (((21.8554801940917969 * x1) - ((21.8578433990478516 * x1) - 0.0542484000325203)) * exp(((((-1.2365419864654541) - ((-0.6182689070701599) * x0)) * ((-1.6172654628753662) * x0)) - (exp(((((-0.0128339584916830) * x1) - (0.0000608815898886 * x1)) - ((((-1.6681232452392578) * x1) - (-6.2428498268127441)) * ((-0.1763334870338440) * x1)))) * ((-0.3036648035049438) * x1))))))),(-0.00236289816734826241*x1 + 3.54178737325e-5*exp(1.6172654628753662*x0*(0.6182689070701599*x0 - 1.2365419864654541) - 0.3036648035049438*x1*exp(x1*(1.0879286389089487 - 0.29414598863525044*x1))) + 0.05424135756401594)*exp(-1.6172654628753662*x0*(0.6182689070701599*x0 - 1.2365419864654541) + 0.3036648035049438*x1*exp(x1*(1.0879286389089487 - 0.29414598863525044*x1))),saturated,2401.330041,47,14,29,8,161,174,70,2,75,(3.54178737325e-05 + ((-0.0023628981673482485 * (x1 + -22.955435961460857)) * exp((((0.999904950174269 * x0) * (2.0000067483987736 - x0)) + (0.3036648035049438 * (exp((-0.29414598863525043 * (x1 * (-3.6986009700714013 + x1)))) * x1)))))),saturated,446.057667,55,15,51,13,267,288,111,2,127,((3.54178737325e-05 * ((exp(((0.999904950174269 * (x0 * (x0 - 2.0000067483987736))) - ((0.3036648035049438 * x1) * exp((x1 * (-0.29414598863525043 * (x1 + -3.6986009700714013))))))) + (-66.71485095899558 * x1)) + 1531.4684888676197)) * exp((-0.999904950174269 * ((x0 * (x0 - 2.0000067483987736)) - (0.30369366953530874 * (exp((x1 * (-0.29414598863525043 * (x1 + -3.6986009700714013)))) * x1)))))) +kotanchek,142,Operon,Operon,23,1,kept,11.0,10.0,(0.0008338154293597 + (0.9979702830314636 * ((exp(exp(exp(((0.0654336437582970 + ((-0.0385530032217503) * x1)) * ((-17.4296455383300781) + (5.2765936851501465 * x1)))))) * (exp(((-0.6076733469963074) * x0)) + ((-0.9865196943283081) + (0.7046096920967102 * x0)))) * exp((exp(((-4.4563603401184082) * x0)) - exp((0.6908147931098938 * x0))))))),(((0.7031795338484663*x0 - 0.9845173385649346)*exp(0.6076733469963074*x0) + 0.9979702830314636)*exp((1 - exp(5.147175133228302*x0))*exp(-4.4563603401184082*x0) + exp(exp(-(0.0385530032217503*x1 - 0.065433643758297)*(5.2765936851501465*x1 - 17.4296455383300781)))) + 0.0008338154293597*exp(0.6076733469963074*x0))*exp(-0.6076733469963074*x0),saturated,331.694417,40,11,38,10,181,195,77,2,94,(0.0008338154293597 + (0.9979702830314636 * ((exp(exp(exp((-0.2034285333434609 * ((x1 + -1.697238562244654) * (x1 + -3.3032002421149307)))))) * (exp((-0.6076733469963074 * x0)) + (-0.9865196943283081 + (0.7046096920967102 * x0)))) * exp((exp((-4.456360340118408 * x0)) - exp((0.6908147931098938 * x0))))))),saturated,413.299667,53,15,49,13,201,218,93,2,122,((((((0.7031795338484663 * (x0 + -1.4000938468398256)) * exp((0.6076733469963074 * x0))) + 0.9979702830314636) * exp((((1.0 - exp((5.147175133228302 * x0))) * exp((-4.456360340118408 * x0))) + exp(exp((-0.2034285333434609 * ((x1 + -3.3032002421149307) * (x1 + -1.697238562244654)))))))) + (0.0008338154293597 * exp((0.6076733469963074 * x0)))) * exp((-0.6076733469963074 * x0))) +kotanchek,143,Operon,Operon,24,1,kept,11.0,10.0,(0.0000109874044938 + (0.9998849630355835 * (exp(((227.2529296875000000 * x0) * ((-0.0044004078954458) * x0))) * (((exp((0.0044344896450639 * x1)) - 0.9905131459236145) * exp(((1.9999943971633911 * x0) - (0.0865126922726631 * x1)))) * (exp(((-0.2363450229167938) * x1)) + exp(exp(exp(((1.1673830747604370 * x1) - exp((0.4206682443618774 * x1))))))))))),(0.9998849630355835*(exp(0.0044344896450639*x1) - 0.9905131459236145)*(exp(0.2363450229167938*x1 + exp(exp(1.167383074760437*x1 - exp(0.4206682443618774*x1)))) + 1)*exp(1.9999943971633911*x0 - 0.0865126922726631*x1) + 1.09874044938e-5*exp(1.000005586060064296*x0**2 + 0.2363450229167938*x1))*exp(-1.000005586060064296*x0**2 - 0.2363450229167938*x1),saturated,367.489584,45,11,43,10,329,344,97,2,101,(1.09874044938e-05 + (0.9998849630355835 * (exp((-1.0000055860600643 * (x0 * x0))) * (((exp((0.0044344896450639 * x1)) + -0.9905131459236145) * exp(((1.9999943971633911 * x0) + (-0.0865126922726631 * x1)))) * (exp((-0.2363450229167938 * x1)) + exp(exp(exp(((1.167383074760437 * x1) - exp((0.4206682443618774 * x1))))))))))),saturated,360.097791,59,14,59,14,301,322,121,2,149,(((((0.9998849630355835 * (exp((0.0044344896450639 * x1)) + -0.9905131459236145)) * (exp(((0.2363450229167938 * x1) + exp(exp(((1.167383074760437 * x1) - exp((0.4206682443618774 * x1))))))) + 1.0)) * exp(((1.9999943971633911 * x0) + (-0.0865126922726631 * x1)))) + (1.09874044938e-05 * exp(((1.0000055860600643 * (x0 ** 2.0)) + (0.2363450229167938 * x1))))) * exp((-1.0000055860600643 * ((x0 ** 2.0) + (0.23634370268667476 * x1))))) +kotanchek,144,Operon,Operon,25,1,kept,13.0,13.0,((-0.0021912427619100) + (1.0060203075408936 * ((((-1.9571648836135864) + ((-0.1280445605516434) * x1)) + (((-4.9479722976684570) * x0) + (((exp(((-25.1299152374267578) * x0)) - ((-1013.9223632812500000) + ((-2498.2419433593750000) * x0))) / ((-763.4477539062500000) - exp((2.6487932205200195 * x1)))) / exp(((-1.3105899095535278) * x1))))) / ((-64.6880645751953125) - exp((2.9050159454345703 * x0)))))),-0.00219124276191 + 1.0060203075408936*(4.947972297668457*x0 + 0.1280445605516434*x1 + 1.9571648836135864 + (2498.241943359375*x0 + 1013.92236328125 + exp(-25.1299152374267578*x0))*exp(1.3105899095535278*x1)/(exp(2.6487932205200195*x1) + 763.44775390625))/(exp(2.9050159454345703*x0) + 64.6880645751953125),saturated,339.952792,43,13,43,13,256,277,109,2,115,(-0.00219124276191 + (((-1.9571648836135864 + (-0.1280445605516434 * x1)) + ((-4.947972297668457 * x0) + ((((exp((-25.129915237426758 * x0)) + 1013.92236328125) + (2498.241943359375 * x0)) / (-763.44775390625 - exp((2.6487932205200195 * x1)))) / exp((-1.3105899095535278 * x1))))) * (1.0060203075408936 / (-64.68806457519531 - exp((2.9050159454345703 * x0)))))),saturated,288.221250,43,13,43,13,267,288,111,1,115,(-0.00219124276191 + ((1.0060203075408936 * ((((4.947972297668457 * x0) + (0.1280445605516434 * x1)) + 1.9571648836135864) + (((((2498.241943359375 * x0) + 1013.92236328125) + exp((-25.129915237426758 * x0))) * exp((1.3105899095535278 * x1))) / (exp((2.6487932205200195 * x1)) + 763.44775390625)))) / (exp((2.9050159454345703 * x0)) + 64.68806457519531))) +kotanchek,145,Operon,Operon,26,1,kept,14.0,9.0,((-0.0000017344426624) + (1.0000044107437134 * (exp((exp(((1.8745909929275513 - (0.6161273121833801 * x1)) * ((-0.4286146163940430) - (1.4141622781753540 - (0.9453756809234619 * x1))))) - (((0.6846604943275452 * x0) - 1.3692940473556519) * (1.4605207443237305 * x0)))) * ((1.0031132698059082 - ((-0.9088089466094971) * x1)) * (0.0477729775011539 - (0.0077679147943854 * x1)))))),(-1.0000044107437134*(0.0077679147943854*x1 - 0.0477729775011539)*(0.9088089466094971*x1 + 1.0031132698059082) - 1.7344426624e-6*exp(1.4605207443237305*x0*(0.6846604943275452*x0 - 1.3692940473556519) - exp((1.8745909929275513 - 0.6161273121833801*x1)*(0.9453756809234619*x1 - 1.842776894569397))))*exp(-1.4605207443237305*x0*(0.6846604943275452*x0 - 1.3692940473556519) + exp((1.8745909929275513 - 0.6161273121833801*x1)*(0.9453756809234619*x1 - 1.842776894569397))),saturated,1057.504583,41,14,31,9,155,167,64,2,82,(-1.7344426624e-06 + ((-0.007059581599505541 * ((-1.103766939738251 - x1) * (6.150038815524072 - x1))) * exp((exp((0.5824717772909054 * ((3.042538377798143 - x1) * (x1 + -1.9492535420091783)))) + (-0.9999608547843195 * (x0 * (x0 + -1.9999606501329321))))))),saturated,650.511458,63,20,51,14,212,232,99,2,131,((-1.7344426624e-06 * (exp(((0.9999608547843195 * (x0 * (x0 - 1.9999606501329321))) - exp(((-0.5824717772909054 * (x1 + -3.042538377798143)) * (x1 - 1.9492535420091783))))) + (4070.230600610912 * ((x1 + 1.103766939738251) * (x1 - 6.150038815524072))))) * exp(((-0.9999608547843195 * (x0 * (x0 - 1.9999606501329321))) + exp(((-0.5824717772909054 * (x1 + -3.042538377798143)) * (x1 - 1.9492535420091783)))))) +kotanchek,146,Operon,Operon,27,1,kept,13.0,11.0,((-0.0020811073482037) + (0.9979038834571838 * ((((((-0.0209705717861652) * x1) - ((0.0227618105709553 * x0) + 0.0106864003464580)) * exp((0.0658860057592392 * x0))) + (0.0203825030475855 * x1)) * ((40.4724655151367188 / ((-62.7512664794921875) - exp((2.9289722442626953 * x0)))) / (exp((0.1633399575948715 * x1)) + ((-0.8682605624198914) - (0.2447641491889954 * x1))))))),(0.823201001967915342*x1 - 0.0020811073482037*(exp(2.9289722442626953*x0) + 62.7512664794921875)*(0.2447641491889954*x1 - exp(0.1633399575948715*x1) + 0.8682605624198914) - (0.919295595092965231*x0 + 0.846951704896531438*x1 + 0.431598388681541098)*exp(0.0658860057592392*x0))/((exp(2.9289722442626953*x0) + 62.7512664794921875)*(0.2447641491889954*x1 - exp(0.1633399575948715*x1) + 0.8682605624198914)),saturated,1794.993834,42,13,38,11,190,206,86,2,100,(-0.0020811073482037 + (((0.8232010019679153 / (-62.75126647949219 - exp((2.9289722442626953 * x0)))) * (x1 + (-1.0288516448253082 * (exp((0.0658860057592392 * x0)) * ((x1 + (1.0854167832453585 * x0)) + 0.5095903180621942))))) / (exp((0.1633399575948715 * x1)) + (-0.8682605624198914 + (-0.2447641491889954 * x1))))),saturated,622.117500,56,16,56,16,345,366,129,2,146,((((0.8232010019679153 * x1) + (-0.0020811073482037 * ((exp((2.9289722442626953 * x0)) + 62.75126647949219) * (((0.2447641491889954 * x1) - exp((0.1633399575948715 * x1))) + 0.8682605624198914)))) + (-0.9192955950929652 * (exp((0.0658860057592392 * x0)) * ((x0 + (0.9213050833892902 * x1)) + 0.46948815047666476)))) / ((exp((2.9289722442626953 * x0)) + 62.75126647949219) * (((0.2447641491889954 * x1) - exp((0.1633399575948715 * x1))) + 0.8682605624198914))) +kotanchek,149,Operon,Operon,30,1,kept,11.0,11.0,(0.0002253897109767 + (0.9994593262672424 * (exp(exp((0.0994609072804451 * x1))) * (exp((((-0.5447754859924316) * x0) - exp((0.6602987051010132 * x0)))) * ((((-1.3688123226165771) + exp((0.1289836019277573 - exp((1.1763114929199219 * x0))))) + exp((0.6509695649147034 * x0))) / (((-0.9415363073348999) * x1) + exp((0.3773067891597748 * x1)))))))),((0.0002122125961842825*x1 - 0.0002253897109767*exp(0.3773067891597748*x1))*exp(0.5447754859924316*x0 + exp(0.6602987051010132*x0) + exp(1.1763114929199219*x0)) + ((1.3680722417486634 - 0.9994593262672424*exp(0.6509695649147034*x0))*exp(exp(1.1763114929199219*x0)) - 1.137056359314377)*exp(exp(0.0994609072804451*x1)))*exp(-0.5447754859924316*x0 - exp(0.6602987051010132*x0) - exp(1.1763114929199219*x0))/(0.9415363073348999*x1 - exp(0.3773067891597748*x1)),saturated,383.640417,43,11,43,11,300,314,91,2,105,(0.0002253897109767 + (0.9994593262672424 * (exp(exp((0.0994609072804451 * x1))) * (((-1.3688123226165771 + exp((0.1289836019277573 - exp((1.1763114929199219 * x0))))) + exp((0.6509695649147034 * x0))) * (exp(((-0.5447754859924316 * x0) - exp((0.6602987051010132 * x0)))) / ((-0.9415363073348999 * x1) + exp((0.3773067891597748 * x1)))))))),saturated,508.603333,72,17,72,17,454,477,157,2,170,(((((0.0002122125961842825 * x1) + (-0.0002253897109767 * exp((0.3773067891597748 * x1)))) * exp((((0.5447754859924316 * x0) + exp((0.6602987051010132 * x0))) + exp((1.1763114929199219 * x0))))) + ((((1.3680722417486635 + (-0.9994593262672424 * exp((0.6509695649147034 * x0)))) * exp(exp((1.1763114929199219 * x0)))) + -1.137056359314377) * exp(exp((0.0994609072804451 * x1))))) * (exp((((-0.5447754859924316 * x0) - exp((0.6602987051010132 * x0))) - exp((1.1763114929199219 * x0)))) / ((0.9415363073348999 * x1) - exp((0.3773067891597748 * x1))))) +kotanchek,139,Operon,Operon,20,1,kept,13.0,10.0,(0.0004888178664260 + (0.9988220334053040 * (exp((((((-5.1766362190246582) - (0.0070227989926934 * x0)) + (1.1790944337844849 * x1)) * ((-0.3277454376220703) * x1)) + (exp(((6.3319468498229980 * x1) * ((-0.0836486071348190) * x1))) * ((-1.0949771404266357) * x1)))) / (6.3024258613586426 / (0.0139735620468855 + exp(((2.2476174831390381 * x0) - exp((0.8711588978767395 * x0))))))))),(0.15848215518555634*exp(2.2476174831390381*x0 - exp(0.8711588978767395*x0)) + 0.0022145602288095083)*exp(-x1*(0.3277454376220703*(-0.0070227989926934*x0 + 1.1790944337844849*x1 - 5.1766362190246582)*exp(0.52965853443939874*x1**2) + 1.0949771404266357)*exp(-0.52965853443939874*x1**2)) + 0.000488817866426,saturated,2336.114625,45,13,39,11,187,205,92,2,101,(0.000488817866426 + (exp((x1 * ((-0.002301690329192133 * ((-737.1186651377163 - x0) + (167.89522738885566 * x1))) + (exp((-0.5296585344393987 * (x1 * x1))) * -1.0949771404266357)))) * (0.998822033405304 / (6.302425861358643 / (0.0139735620468855 + exp(((2.247617483139038 * x0) - exp((0.8711588978767395 * x0))))))))),saturated,4677.621875,48,13,44,11,217,235,94,2,116,((((0.15848215518555633 * exp(((2.247617483139038 * x0) - exp((0.8711588978767395 * x0))))) + 0.002214560228809508) * exp((((-1.0949771404266357 + (0.002301690329192133 * (exp((0.5296585344393987 * (x1 ** 2.0))) * ((x0 + (-167.89522738885566 * x1)) + 737.1186651377163)))) * x1) * exp((-0.5296585344393987 * (x1 ** 2.0)))))) + 0.000488817866426) +kotanchek,147,Operon,Operon,28,1,kept,12.0,11.0,(0.0014168095076457 + (0.9966097474098206 * (((4.5074963569641113 * x0) + exp(((-2.2596077919006348) * x0))) * ((((-0.0000623191444902) * x0) - exp(((0.5578119754791260 * x0) - exp((0.7266396284103394 * x0))))) * ((exp((1.8929998874664307 * x1)) * ((-0.0988849624991417) - ((-0.0229831431061029) * x1))) * (exp((0.2581167519092560 * x1)) + ((-0.6963179111480713) * x1))))))),(0.9966097474098206*(6.23191444902e-5*x0 + exp(0.557811975479126*x0 - exp(0.7266396284103394*x0)))*(0.0229831431061029*x1 - 0.0988849624991417)*(0.6963179111480713*x1 - exp(0.258116751909256*x1))*(4.5074963569641113*x0*exp(2.2596077919006348*x0) + 1)*exp(1.8929998874664307*x1) + 0.0014168095076457*exp(2.2596077919006348*x0))*exp(-2.2596077919006348*x0),saturated,1068.594959,46,12,44,11,736,750,136,2,108,(0.0014168095076457 + (((-0.022905224445656968 * (((4.507496356964111 * x0) + exp((-2.2596077919006348 * x0))) * (4.302499533794574 - x1))) * ((exp((0.258116751909256 * x1)) + (-0.6963179111480713 * x1)) * exp((1.8929998874664307 * x1)))) * ((-6.23191444902e-05 * x0) - exp(((0.557811975479126 * x0) - exp((0.7266396284103394 * x0))))))),saturated,2139.767875,58,15,54,13,811,827,149,2,130,((((((0.10324521574424408 * ((x1 + -4.302499533794574) * ((exp((2.2596077919006348 * x0)) * x0) + 0.22185264741367866))) * ((6.23191444902e-05 * x0) + exp(((0.557811975479126 * x0) - exp((0.7266396284103394 * x0)))))) * ((0.6963179111480713 * x1) - exp((0.258116751909256 * x1)))) * exp((1.8929998874664307 * x1))) + (0.0014168095076457 * exp((2.2596077919006348 * x0)))) * exp((-2.2596077919006348 * x0))) +kotanchek,151,SBP,SBP,2,1,kept,5.0,1.0,-0.000871-0.000000*((exp((((-13.691000*(-13.691000))-exp((1.294000-x1)))-(x0*x0)))*(((-5.521000+x1)*exp(x0))*exp(x0)))),-0.000871000000000000,saturated,329.043667,27,6,1,1,3,4,3,2,6,-0.000871,saturated,259.421917,1,1,1,1,3,4,3,1,6,-0.000871 +kotanchek,150,SBP,SBP,1,1,kept,5.0,4.0,0.053829-0.000194*(((((exp(((x0+19.367000)-(x0*x0)))*exp((-13.819000+x0)))-(x1*exp(x1)))*(-1.237000-x1))+exp(x0))),((0.053829 - 0.000194*exp(x0))*exp(x0*(x0 - 1)) - 0.000194*(x1 + 1.237)*(x1*exp(x0**2 - x0 + x1) - 256.723594926263*exp(x0)))*exp(x0*(1 - x0)),saturated,278.231625,29,5,29,5,101,112,55,1,62,(0.053829 - (0.000194 * ((((exp(((x0 + 19.367) - (x0 * x0))) * exp((-13.819 + x0))) - (x1 * exp(x1))) * (-1.237 - x1)) + exp(x0)))),saturated,796.648458,42,7,40,6,102,113,56,2,86,((-0.000194 * ((((x1 * exp((((x0 ** 2.0) - x0) + x1))) - (256.723594926263 * exp(x0))) * (x1 - -1.237)) - (exp((x0 * (x0 - 1.0))) * (277.46907216494844 - exp(x0))))) * exp((x0 * (1.0 - x0)))) +kotanchek,153,SBP,SBP,4,1,kept,7.0,5.0,1.105782+0.007318*((0.199000+((-7.153000+x0)*(((-7.153000+x0)*(x0-(x0*x0)))-(((x1-12.520000)+x0)+(-7.153000+x0)))))),-0.007318*(x0 - 7.153)*(x0*(x0 - 7.153)*(x0 - 1) + 2*x0 + x1 - 19.673) + 1.107238282,saturated,306.387833,29,7,25,5,146,154,49,2,58,(0.007318 * (151.3034001093195 + ((-7.153 + x0) * (((-7.153 + x0) * (x0 - (x0 * x0))) - ((x0 + x0) + (-19.673 + x1)))))),saturated,309.484125,25,7,23,7,93,105,50,2,63,(((-0.007318 * (x0 - 7.153)) * (((x0 * (((x0 - 1.0) * (x0 - 7.153)) + 2.0)) + x1) - 19.673)) + 1.107238282) +kotanchek,152,SBP,SBP,3,1,kept,7.0,6.0,0.164127-0.000918*((((((17.900000-(9.729000*x1))+7.431000)-x0)-((x1+x0)*((exp((7.431000-exp(x0)))-2.295000)*x0)))*x0)),(-0.000918*x0*(x0*(x0 + x1)*(2.295*exp(exp(x0)) - 1687.49422412485) + (-x0 - 9.729*x1 + 25.331)*exp(exp(x0))) + 0.164127*exp(exp(x0)))*exp(-exp(x0)),saturated,328.581916,29,7,27,6,127,141,65,2,64,(0.164127 - (0.000918 * ((((25.331 + (-9.729 * x1)) - x0) - ((x1 + x0) * ((exp((7.431 - exp(x0))) - 2.295) * x0))) * x0))),saturated,1158.411083,43,8,41,7,232,247,89,2,86,((((-0.000918 * x0) * (((x0 * (x0 + x1)) * ((2.295 * exp(exp(x0))) + -1687.49422412485)) + (((25.331 - x0) + (-9.729 * x1)) * exp(exp(x0))))) + (0.164127 * exp(exp(x0)))) * exp((-1.0 * exp(x0)))) +kotanchek,148,Operon,Operon,29,1,kept,12.0,9.0,((-0.0000438776442024) + (1.0001060962677002 * (exp((((((-0.3045227825641632) * x1) * exp((0.5642136931419373 * x1))) - (4.0260410308837891 + ((-1.9999954700469971) * x0))) - (((-0.6665219664573669) * x0) * ((-1.5003671646118164) * x0)))) * (exp(exp((0.6489872336387634 * x1))) - (exp((1.3141704797744751 * x1)) * ((-0.1860205531120300) * exp((1.5301641225814819 * x1)))))))),(0.0033198587205338268*exp(2.844334602355957*x1) - 4.38776442024e-5*exp(1.0000276729651318*x0**2 - 1.9999954700469971*x0 + 0.3045227825641632*x1*exp(0.5642136931419373*x1)) + 0.017846730724074654*exp(exp(0.6489872336387634*x1)))*exp(-1.0000276729651318*x0**2 + 1.9999954700469971*x0 - 0.3045227825641632*x1*exp(0.5642136931419373*x1)),saturated,3073.180542,45,12,41,11,278,299,116,2,103,(-4.38776442024e-05 + (1.0001060962677002 * (exp(((x0 * ((-1.0000276729651318 * x0) + 1.999995470046997)) + (((-0.3045227825641632 * x1) * exp((0.5642136931419373 * x1))) + -4.026041030883789))) * (exp(exp((0.6489872336387634 * x1))) + (0.18602055311203 * (exp((1.314170479774475 * x1)) * exp((1.530164122581482 * x1)))))))),saturated,407.028750,56,13,56,13,194,211,91,2,141,((-4.38776442024e-05 * (exp(((1.0000276729651318 * ((x0 ** 2.0) + (-1.9999401257736307 * x0))) + ((0.3045227825641632 * x1) * exp((0.5642136931419373 * x1))))) + (-406.73858062549493 * (exp(exp((0.6489872336387634 * x1))) + (0.18602055311203 * exp((2.844334602355957 * x1))))))) * exp((-1.0000276729651318 * (((x0 ** 2.0) + (-1.9999401257736307 * x0)) + (0.3045143557490144 * (exp((0.5642136931419373 * x1)) * x1)))))) +kotanchek,154,SBP,SBP,5,1,kept,5.0,4.0,0.009179-0.000004*((exp(((x0+x0)-(x0*x0)))*(-18.822000*((exp(x1)+(x1*(-19.513000)))*(exp(x1)+(5.700000*(-18.822000))))))),(-7.5288e-5*(19.513*x1 - exp(x1))*(exp(x1) - 107.2854) + 0.009179*exp(x0*(x0 - 2)))*exp(x0*(2 - x0)),saturated,465.676792,28,6,24,4,167,177,58,2,51,(0.009179 - (-7.528799999999999e-05 * (exp(((x0 + x0) - (x0 * x0))) * ((exp(x1) + (x1 * -19.513)) * (exp(x1) + -107.2854))))),saturated,325.270584,29,6,29,6,125,135,56,2,66,((((-7.5288e-05 * ((19.513 * x1) - exp(x1))) * (exp(x1) + -107.2854)) + (0.009179 * exp((x0 * (x0 + -2.0))))) * exp((x0 * (2.0 - x0)))) +kotanchek,156,SBP,SBP,7,1,kept,4.0,4.0,-14.026870+14.029048*(exp(exp((((x0+((x0+x0)-(exp(exp(exp((-0.884000-(x1*x1)))))+x0)))-1.493000)-(x0*x0))))),14.029048*exp(0.224697550736354*exp(-x0**2 + 2*x0 - exp(exp(0.413127093878218*exp(-x1**2))))) - 14.02687,saturated,311.512000,28,4,28,4,71,78,39,2,56,(-14.02687 + (14.029048 * exp(exp((((x0 + (((x0 + x0) - exp(exp(exp((-0.884 - (x1 * x1)))))) - x0)) + -1.493) - (x0 * x0)))))),saturated,309.394625,28,7,26,6,75,86,48,2,69,((14.029048 * exp((0.224697550736354 * exp((((2.0 * x0) - (x0 ** 2.0)) - exp(exp((0.413127093878218 * exp((-1.0 * (x1 ** 2.0))))))))))) - 14.02687) +kotanchek,158,SBP,SBP,9,1,kept,6.0,5.0,0.018312-0.003546*(((((x0-(x0+((x0-13.713000)*x0)))-((x0*x0)+1.354000))-(20.118000+1.354000))*(x1+(x0*7.506000)))),0.003546*(7.506*x0 + x1)*(x0**2 + x0*(x0 - 13.713) + 22.826) + 0.018312,saturated,312.118417,29,7,21,5,92,103,49,2,52,(0.018312 - (0.003546 * ((-22.825999999999997 + (((13.713 - x0) * x0) - (x0 * x0))) * (x1 + (x0 * 7.506))))),saturated,340.900208,21,5,21,5,80,89,41,2,56,(((0.003546 * ((7.506 * x0) + x1)) * (((x0 ** 2.0) + (x0 * (x0 + -13.713))) + 22.826)) + 0.018312) +kotanchek,159,SBP,SBP,10,1,kept,4.0,3.0,0.001314-0.043497*((exp(((x0+x0)-(x0*x0)))*(((x0-6.297000)-(x0-(x1+1.578000)))*x1))),(-0.043497*x1*(x1 - 4.719) + 0.001314*exp(x0*(x0 - 2)))*exp(x0*(2 - x0)),saturated,365.639958,24,4,22,3,164,173,55,2,45,(0.001314 - (0.043497 * (exp(((x0 + x0) - (x0 * x0))) * (((-4.718999999999999 + x0) - (x0 - x1)) * x1)))),saturated,324.819584,23,5,23,5,115,124,50,2,54,((((-0.043497 * x1) * (x1 + -4.719)) + (0.001314 * exp((x0 * (x0 + -2.0))))) * exp((x0 * (2.0 - x0)))) +kotanchek,160,SBP,SBP,11,1,kept,7.0,7.0,0.040413-0.000597*(((6.648000-x0)*((exp(x1)-(x1*15.197000))*(2.753000+((x0*9.675000)-((x0*(6.648000-x0))*x0)))))),-0.000597*(x0 - 6.648)*(15.197*x1 - exp(x1))*(x0**2*(x0 - 6.648) + 9.675*x0 + 2.753) + 0.040413,saturated,293.176167,28,7,28,7,189,202,70,1,70,(0.040413 - (0.000597 * ((6.648 - x0) * ((exp(x1) - (x1 * 15.197)) * (2.753 + ((x0 * 9.675) - ((x0 * (6.648 - x0)) * x0))))))),saturated,292.903833,28,7,28,7,147,160,63,1,74,((((-0.000597 * (x0 - 6.648)) * ((15.197 * x1) - exp(x1))) * ((((x0 ** 2.0) * (x0 - 6.648)) + (9.675 * x0)) + 2.753)) + 0.040413) +kotanchek,161,SBP,SBP,12,1,kept,6.0,5.0,0.149913+0.001414*((((-14.224000*x0)*x0)-((0.405000-(-6.959000*((x0*x1)-((x1-(-14.412000*x1))-exp(x1)))))-exp(x1)))),-0.020112736*x0**2 - 0.009840026*x0*x1 + 0.151654480712*x1 - 0.008426026*exp(x1) + 0.14934033,saturated,427.800083,29,6,25,5,247,259,78,2,57,(0.001414 * ((-6.959 * (((((x1 * (x0 + -14.412)) - x1) + exp(x1)) + -15.176822703517248) + (2.0439718350337692 * (x0 * x0)))) + exp(x1))),saturated,5090.799083,22,5,20,5,765,790,193,2,54,((((x1 * (0.151654480712 + (-0.009840026 * x0))) + (-0.020112736 * (x0 ** 2.0))) + (-0.008426026 * exp(x1))) + 0.14934033) +kotanchek,157,SBP,SBP,8,1,kept,5.0,4.0,0.144574+0.000155*(((((x1-(11.267000*7.230000))*3.308000)+(x1+(exp((7.230000-(x0*x0)))*((x0*x1)+exp(x0)))))*x0)),0.213934488133493*x0**2*x1*exp(-x0**2) + 0.00066774*x0*x1 + 0.213934488133493*x0*exp(-x0**2 + x0) - 0.0417680106234*x0 + 0.144574,saturated,301.383708,29,6,27,5,86,94,42,2,60,(0.144574 + (0.000155 * ((((x1 + -81.46041) * 3.308) + (x1 + (exp((7.23 - (x0 * x0))) * ((x0 * x1) + exp(x0))))) * x0))),saturated,6569.296958,39,7,31,5,99,108,47,2,78,(0.213934488133493 * (0.6757863178646879 + (((exp((-1.0 * (x0 ** 2.0))) * x1) * (x0 ** 2.0)) + (x0 * ((exp((x0 - (x0 ** 2.0))) + (0.00312123587844956 * x1)) + -0.19523738779947053))))) +kotanchek,164,SBP,SBP,15,1,kept,7.0,4.0,-0.000469-0.008133*((((((-12.866000+((-2.656000-exp(-2.656000))-exp(-2.656000)))*x1)+exp(x1))-4.334000)*exp((x0+(x0-(x0*x0)))))),(0.127382764000369*x1 - 0.008133*exp(x1) - 0.000469*exp(x0*(x0 - 2)) + 0.035248422)*exp(x0*(2 - x0)),saturated,302.219416,29,7,21,4,113,125,56,2,47,(-0.000469 - (0.008133 * ((((-15.662457149928537 * x1) + exp(x1)) - 4.334) * exp((x0 + (x0 - (x0 * x0))))))),saturated,454.965792,26,6,26,6,499,518,131,2,62,(((((0.127382764000369 * x1) + (-0.008133 * exp(x1))) + (-0.000469 * exp((x0 * (x0 + -2.0))))) + 0.035248422) * exp((x0 * (2.0 - x0)))) +kotanchek,165,SBP,SBP,16,1,kept,6.0,5.0,0.009361+0.001754*((((4.923000-x1)*((((x0*x0)-16.384000)*((((x0*x0)-(-1.015000+x0))-x0)-3.101000))+x0))*x1)),-0.001754*x1*(x0 - (x0**2 - 16.384)*(-x0**2 + 2*x0 + 2.086))*(x1 - 4.923) + 0.009361,saturated,284.766584,29,6,29,6,118,127,48,2,68,(0.009361 + (0.001754 * (((4.923 - x1) * ((((x0 * x0) + -16.384) * (((((x0 * x0) + 1.015) - x0) - x0) + -3.101)) + x0)) * x1))),saturated,834.382042,29,7,27,6,139,150,56,2,73,((((-0.001754 * x1) * (x0 + (((x0 ** 2.0) + -16.384) * (((x0 ** 2.0) + (-2.0 * x0)) + -2.086)))) * (x1 + -4.923)) + 0.009361) +kotanchek,162,SBP,SBP,13,1,kept,6.0,6.0,0.170654+0.002714*(((x0-6.237000)*((((-16.211000-x0)+x1)+(exp(x1)+(-16.310000*(x1-x0))))+exp((3.307000-(x0+x0)))))),(0.002714*(x0 - 6.237)*((15.31*x0 - 15.31*x1 + exp(x1) - 16.211)*exp(2*x0) + 27.3030932054114) + 0.170654*exp(2*x0))*exp(-2*x0),saturated,312.228833,29,6,29,6,277,286,67,2,67,(0.170654 + (0.002714 * ((x0 + -6.237) * ((((-16.211 - x0) + x1) + (exp(x1) + (-16.31 * (x1 - x0)))) + exp((3.307 - (x0 + x0))))))),saturated,8493.723584,37,10,35,9,156,169,70,2,87,((((0.002714 * (x0 + -6.237)) * (((((15.31 * (x0 - x1)) + exp(x1)) + -16.211) * exp((2.0 * x0))) + 27.3030932054114)) + (0.170654 * exp((2.0 * x0)))) * exp((-2.0 * x0))) +kotanchek,166,SBP,SBP,17,1,kept,5.0,3.0,-0.025349+0.010788*((((((((((x0+x0)-(x0*x0))*(-5.542000+x0))*(-5.542000+x0))+x1)+x1)+12.501000)+x0)+x1)),x0*(0.662680172064 - 0.331340086032*x0)*(0.180440274269217*x0 - 1)**2 + 0.010788*x0 + 0.032364*x1 + 0.109511788,saturated,308.312208,29,5,27,4,270,275,49,2,57,(0.010788 * ((10.151259547645532 + (x1 + x0)) + ((((((x0 + x0) - (x0 * x0)) * (-5.542 + x0)) * (-5.542 + x0)) + x1) + x1))),saturated,1063.106708,25,7,23,7,216,235,93,2,67,(((x0 * (((((0.180440274269217 * x0) + -1.0) ** 2.0) * (0.662680172064 + (-0.331340086032 * x0))) + 0.010788)) + (0.032364 * x1)) + 0.109511788) +kotanchek,167,SBP,SBP,18,1,kept,5.0,4.0,0.008014-0.000927*(((x1+(4.989000-9.320000))*(((3.460000+x1)+x1)*(exp((x0+(x0-(-1.978000+(x0*x0)))))*x1)))),(-0.00670060812084771*x1*(x1 - 4.331)*(2*x1 + 3.46) + 0.008014*exp(x0*(x0 - 2)))*exp(x0*(2 - x0)),saturated,373.471416,28,6,26,5,441,453,91,2,59,(0.008014 - (0.000927 * ((x1 + -4.331) * (((3.46 + x1) + x1) * (exp((x0 + (x0 - (-1.978 + (x0 * x0))))) * x1))))),saturated,405.254209,29,7,27,6,198,208,65,2,64,((((-0.01340121624169542 * ((x1 + 1.73) * x1)) * (x1 + -4.331)) + (0.008014 * exp((x0 * (x0 + -2.0))))) * exp((x0 * (2.0 - x0)))) +kotanchek,169,SBP,SBP,20,1,kept,7.0,5.0,0.000939-0.014900*((((x1+2.332000)-x0)*(((x0*x0)-x0)-(16.260000+(-0.962000-((x1+3.598000)+exp(exp((0.538000-x0))))))))),-0.0149*(-x0 + x1 + 2.332)*(x0**2 - x0 + x1 + exp(1.71257827818735*exp(-x0)) - 11.7) + 0.000939,saturated,317.718000,29,7,25,5,150,161,60,2,57,(0.000939 - (0.0149 * (((x1 + 2.332) - x0) * (((-11.700000000000003 + ((x0 * x0) - x0)) + x1) + exp(exp((0.538 - x0))))))),saturated,330.517083,29,7,27,6,133,143,54,2,68,(((-0.0149 * ((x1 - x0) + 2.332)) * (((((x0 ** 2.0) - x0) + x1) + exp((1.71257827818735 * exp((-1.0 * x0))))) + -11.7)) + 0.000939) +kotanchek,168,SBP,SBP,19,1,kept,5.0,4.0,0.025140-0.013750*((exp(((x0-x1)-exp(x0)))*(exp(x0)*(((x1*(-17.939000))*(x1-((exp(x0)-0.338000)*(-3.388000))))*x1)))),(x1**2*(0.24666125*x1 + 0.835688315*exp(x0) - 0.28246265047)*exp(x0) + 0.02514*exp(-x0 + x1 + exp(x0)))*exp(x0 - x1 - exp(x0)),saturated,1575.581791,29,5,27,4,495,507,90,2,55,(0.02514 - (((-0.24666125 * (exp(((x0 - x1) - exp(x0))) * ((x1 - ((exp(x0) - 0.338) * -3.388)) * x1))) * exp(x0)) * x1)),saturated,484.355875,37,5,35,4,495,511,130,2,70,(((((x1 ** 2.0) * (((0.24666125 * x1) + (0.835688315 * exp(x0))) + -0.28246265047)) * exp(x0)) + (0.02514 * exp(((x1 - x0) + exp(x0))))) * exp(((x0 - x1) - exp(x0)))) 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+ (((x0 * ((-5.937 * x0) + 6.407)) + exp(x0)) + x0)) - exp((2.577 - x1))) - x1) - x1))),saturated,1751.482167,27,7,27,7,3339,3383,813,2,72,(((0.429537 + (((-0.166241937 * (x0 ** 2.0)) + (0.235404407 * x0)) - (0.056002 * x1))) + (0.028001 * exp(x0))) - (0.368426127648911 * exp((-1.0 * x1)))) +kotanchek,163,SBP,SBP,14,1,kept,5.0,5.0,0.208799-0.009239*(((((-9.621000+x0)*(x1+x1))+exp(x1))-(((exp(x0)*(-4.627000+x0))+x0)-exp((-17.386000*x0))))),((0.009239*x0 - 0.018478*x1*(x0 - 9.621) + (0.009239*x0 - 0.042748853)*exp(x0) - 0.009239*exp(x1) + 0.208799)*exp(17.386*x0) - 0.009239)*exp(-17.386*x0),saturated,288.639958,28,5,28,5,156,167,67,1,61,(0.208799 - (0.009239 * ((((-9.621 + x0) * (x1 + x1)) + exp(x1)) - (((exp(x0) * (-4.627 + x0)) + x0) - exp((-17.386 * x0)))))),saturated,7749.798583,39,10,35,8,180,197,85,2,83,((((0.009239 * ((22.5997402316268 - ((2.0 * ((x0 - 9.621) * x1)) - x0)) - (exp(x1) - (exp(x0) * (x0 - 4.627))))) * exp((17.386 * x0))) - 0.009239) * exp((-17.386 * x0))) 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x1))),saturated,2199.791750,21,5,19,4,1003,1028,215,2,53,(((0.117570555858 + (0.039334 * (x1 + (x0 ** 3.0)))) + (-0.274865992 * (x0 ** 2.0))) + (0.411866314 * x0)) +kotanchek,175,SBP,SBP,26,1,kept,5.0,1.0,0.029215-0.000000*(((((((x1*x1)-x1)-14.532000)*4.291000)*(x1*exp(x0)))*exp((((x0+exp(4.291000))+x0)-exp(x0))))),0.0292150000000000,saturated,469.261167,29,5,1,1,3,4,3,2,6,0.029215,saturated,274.516167,1,1,1,1,3,4,3,1,6,0.029215 +kotanchek,177,SBP,SBP,28,1,kept,5.0,4.0,0.001695-0.003018*((3.647000*((((((-9.189000+(x1+x1))*x1)+x1)*x1)-4.450000)*exp(((x0+x0)-(x0*x0)))))),(x1**2*(0.090133424094 - 0.022013292*x1) + 0.001695*exp(x0*(x0 - 2)) + 0.0489795747)*exp(x0*(2 - x0)),saturated,387.976792,28,5,26,4,105,116,53,2,55,(0.001695 - (0.011006645999999998 * ((((((-9.189 + (x1 + x1)) * x1) + x1) * x1) - 4.45) * exp(((x0 + x0) - (x0 * x0)))))),saturated,368.494250,27,6,27,6,218,232,83,2,68,(((((x1 ** 2.0) * (0.022013292 * (4.0945 - x1))) + (0.001695 * exp((x0 * (x0 + -2.0))))) + 0.0489795747) * exp((x0 * (2.0 - x0)))) +kotanchek,174,SBP,SBP,25,1,kept,6.0,6.0,0.101111-0.009711*(((((x1-(x0-4.696000))*(((x0+x1)+(-2.186000-x1))*(x0*(4.648000-x0))))-(x1*3.723000))+x0)),0.009711*x0*(x0 - 4.648)*(x0 - 2.186)*(-x0 + x1 + 4.696) - 0.009711*x0 + 0.036154053*x1 + 0.101111,saturated,457.814958,29,6,29,6,261,277,91,2,68,(0.101111 - (0.009711 * (((((x1 - x0) - -4.696) * (((x0 + x1) + (-2.186 - x1)) * (x0 * (4.648 - x0)))) - (x1 * 3.723)) + x0))),saturated,2785.157375,29,8,25,6,119,127,45,2,62,(-0.009711 * (x0 + (((4.648 - x0) * ((((x1 - x0) + 4.696) * (x0 + -2.186)) * x0)) + (-3.7230000000000003 * (x1 + 2.796671233512879))))) +kotanchek,179,SBP,SBP,30,1,kept,5.0,2.0,0.045524+0.000000*(exp(((x0+x1)-(((-1.333000*x1)+(x1*x1))-(((17.339000+x0)+(2.682000*x1))-(x0*x0)))))),0.0455240000000000,saturated,318.017917,28,5,1,1,3,4,3,2,6,0.045524,saturated,260.932958,1,1,1,1,3,4,3,1,6,0.045524 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0.2581807926919453)*((x0 + 2*x1 + 0.22830720104631077)*exp(2.33304710784059*x1) + (0.2581807926919453*x1 - 0.2581807926919453*exp(x0) - 0.054439872343823197*exp(x1) - 0.4815994347419402)*exp(2.33304710784059*x1) + 1)*exp(-2.33304710784059*x1)/((-x0 + exp(0.90803626203097926*x0) + 0.4782812307154963)*(-x1 + exp(x0) + 0.21085949801377927*exp(x1) + 1.86535733243554)),saturated,337.962875,45,10,39,8,232,246,80,2,89,((((((x1 - (-0.22830720104631075 - x0)) + exp((x1 * -2.33304710784059))) + x1) / (((exp(x0) - -1.86535733243554) - x1) + exp((x1 - 1.5565632534973677)))) - 0.2581807926919453) * ((x0 + 0.2581807926919453) / ((exp((x0 / 1.1012776051072322)) + 0.4782812307154963) - x0))),saturated,3980.356833,69,17,54,12,213,229,92,2,126,((((x0 + 0.2581807926919453) * ((exp((2.33304710784059 * x1)) * (((0.2581807926919453 * ((x1 * 8.746509642126433) + ((-0.21085949801377926 * exp(x1)) - exp(x0)))) + x0) + -0.2532922336956295)) + 1.0)) * exp((-2.33304710784059 * x1))) / (((0.4782812307154963 - x0) + exp((0.9080362620309793 * x0))) * (((exp(x0) - x1) + (0.21085949801377926 * exp(x1))) + 1.86535733243554))) +kotanchek,178,SBP,SBP,29,1,kept,6.0,5.0,0.106297-0.005360*(((exp(x1)+(-20.176000*x1))+(exp(1.704000)-(x0*((-9.587000-x1)+exp((((x0-exp(x0))+4.797000)+x0))))))),-0.00536*x0*(x1 - 121.14643251667*exp(2*x0 - exp(x0)) + 9.587) + 0.10814336*x1 - 0.00536*exp(x1) + 0.0768390455121224,saturated,320.829959,29,6,26,5,103,113,51,2,58,(0.00536 * ((14.335642819425818 + (x0 * ((-9.587 - x1) + exp((((x0 - exp(x0)) + 4.797) + x0))))) - (exp(x1) + (-20.176 * x1)))),saturated,7295.353917,28,7,26,6,197,210,73,2,62,(((-0.00536 * (exp(x1) + (((x1 + (-121.14643251667 * exp(((2.0 * x0) - exp(x0))))) + 9.587) * x0))) + (0.10814336 * x1)) + 0.0768390455121224) +kotanchek,182,SRjl,SRjl,3,1,kept,9.0,6.0,(((((((x0 / exp((x0 * x0) + -0.12087468709548371)) * (x1 / 0.5947634776272314)) / ((exp(x1 - x0) - x1) + 2.2629335889059945)) * (x1 + (((exp((0.27943051594577284 + 0.10597416087671603) + 1.2206854231318682) + exp(x1)) + 2.523828871594013) * -0.0454913207896129))) - (x0 * 0.05041963936946082)) - -0.18147813675635233) + -0.01334030820098058),(-1.8973651416268622*x0*x1*(-x1 + 0.0454913207896129*exp(x1) + 0.34150870393486484) + (0.16813782855537175 - 0.05041963936946082*x0)*(-x1 + exp(-x0 + x1) + 2.2629335889059945)*exp(x0**2))*exp(-x0**2)/(-x1 + exp(-x0 + x1) + 2.2629335889059945),saturated,771.593417,45,11,34,7,262,273,88,2,78,(0.16813782855537174 + ((((((x1 + ((7.507117797574302 + exp(x1)) * -0.0454913207896129)) / ((exp((x1 - x0)) - x1) + 2.2629335889059945)) / exp(((x0 * x0) + -0.12087468709548371))) * x1) + -0.029987760052091382) * (x0 / 0.5947634776272314))),saturated,1728.171792,60,13,50,8,407,421,113,2,113,(((((-0.0863136463127769 * x0) * x1) * ((exp(x1) + (-21.982215126810114 * x1)) + 7.507117797574302)) + (((0.16813782855537174 + (-0.05041963936946082 * x0)) * ((exp((x1 - x0)) - x1) + 2.2629335889059945)) * exp((x0 ** 2.0)))) * (exp((-1.0 * (x0 ** 2.0))) / ((exp((x1 - x0)) - x1) + 2.2629335889059945))) +kotanchek,184,SRjl,SRjl,5,1,kept,9.0,7.0,((exp(((-1.5650412257786985 - x1) - x1) / 2.725807745015068) * ((x0 + 0.2515421021268282) * x1)) * (exp((((x0 / -0.6595888099113719) * x0) - (x1 / 0.8882302129082629)) / 2.725807745015068) * ((((x0 * (x1 - -0.9190110064157119)) * 0.22136372638482898) + (x1 + 1.3549310295276753)) * x1))),0.56317950580238818*x1**2*(x0 + 0.2515421021268282)*(0.22136372638482898*x0*(x1 + 0.9190110064157119) + x1 + 1.3549310295276753)*exp(-0.5562006597670384*x0**2 - 1.14675521804359*x1),saturated,356.240541,41,9,41,9,525,538,102,1,97,((exp((((-1.5650412257786985 - x1) - x1) / 2.725807745015068)) * ((x0 + 0.2515421021268282) * x1)) * (exp(((((x0 / -0.6595888099113719) * x0) - (x1 / 0.8882302129082629)) / 2.725807745015068)) * ((((x0 * (x1 - -0.9190110064157119)) * 0.22136372638482898) + (x1 + 1.3549310295276753)) * x1))),saturated,336.175250,32,7,32,7,318,331,85,2,84,((((0.5631795058023882 * (x1 ** 2.0)) * (x0 + 0.2515421021268282)) * ((((0.22136372638482898 * x0) * (x1 + 0.9190110064157119)) + x1) + 1.3549310295276753)) * exp((-0.5562006597670384 * ((x0 ** 2.0) + (2.061765296222234 * x1))))) +kotanchek,185,SRjl,SRjl,6,1,kept,8.0,7.0,((((x1 + (exp((x1 + (1.309561009058676 * 0.2713771555143059)) * (-1.598800435582104 * x1)) - 0.2946268534853358)) / ((((exp(x0) - x0) + 1.0705549811404007) - x0) - x0)) / (((exp(x1) - 0.6303983601001658) + 3.1507918286409375) - (x1 * x1))) * ((x1 / (1.309561009058676 + 0.06685590531260745)) - -0.48872997975581867)),(0.7265240564533295*x1 + 0.48872997975581867)*((x1 - 0.2946268534853358)*exp(1.598800435582104*x1*(x1 + 0.3553849416107877)) + 1)*exp(-1.598800435582104*x1*(x1 + 0.3553849416107877))/((-3*x0 + exp(x0) + 1.0705549811404007)*(-x1**2 + exp(x1) + 2.5203934685407717)),saturated,385.027375,44,10,38,7,271,281,88,2,84,((x1 + (exp(((x1 + 0.3553849416107877) * (-1.598800435582104 * x1))) + -0.2946268534853358)) * ((((x1 / 1.3764169143712834) + 0.48872997975581867) / ((((exp(x0) - x0) + 1.0705549811404007) - x0) - x0)) / ((2.520393468540772 + exp(x1)) - (x1 * x1)))),saturated,347.594250,49,12,47,11,326,341,97,2,117,(((((0.7265240564533295 * x1) + 0.48872997975581867) * (((x1 + -0.2946268534853358) * exp(((1.598800435582104 * x1) * (x1 + 0.3553849416107877)))) + 1.0)) * exp(((-1.598800435582104 * x1) * (x1 + 0.3553849416107877)))) / ((((-3.0 * x0) + exp(x0)) + 1.0705549811404007) * ((exp(x1) - (x1 ** 2.0)) + 2.520393468540772))) +kotanchek,183,SRjl,SRjl,4,1,kept,9.0,7.0,(((((x0 * x1) / 0.3268050163951488) + (((x1 + -0.5544986714499122) * x1) + 0.30370477454811745)) - ((((0.12540124052297874 - (exp(x1 + x0) * 0.003973572440442301)) / -0.7122963745947987) * x1) * (x1 + -0.7286282015526498))) / (((exp(x1) + 2.758453524484197) - -1.4870260456714612) + exp(x0 * x0))),(3.059928550150751*x0*x1 - x1*(x1 - 0.7286282015526498)*(0.005578538066689911*exp(x0 + x1) - 0.17605205500914596) + x1*(x1 - 0.5544986714499122) + 0.30370477454811745)/(exp(x0**2) + exp(x1) + 4.2454795701556582),saturated,2721.585417,42,9,34,7,206,219,79,2,78,(((x1 * ((0.0055785380666899115 * ((x1 + -0.7286282015526498) * (31.55881575145519 - exp((x1 + x0))))) + ((x1 + -0.5544986714499122) + (x0 / 0.3268050163951488)))) + 0.30370477454811745) / ((4.245479570155658 + exp(x1)) + exp((x0 * x0)))),saturated,466.199042,38,7,34,7,226,240,83,2,82,(((x1 * ((-0.005578538066689911 * ((x1 + -0.7286282015526498) * (exp((x0 + x1)) + -31.558815751455192))) + ((x1 + -0.5544986714499122) + (3.059928550150751 * x0)))) + 0.30370477454811745) / ((exp((x0 ** 2.0)) + exp(x1)) + 4.245479570155658)) +kotanchek,187,SRjl,SRjl,8,1,kept,7.0,6.0,(((exp(((x0 + x0) - (x0 * (x0 + 0.040585192647742296))) + -1.0149512623308583) / ((x1 * (exp(x1) * 0.040585192647742296)) + (3.8606907267233312 - x1))) * ((log(exp(x1) - x1) + (log(0.8419832071038463) * x1)) - -1.122619161739475)) * 0.6992234510287301),(-0.043585757930282754*x1 + 0.25341262808852694*log(-x1 + exp(x1)) + 0.28448587211893945)*exp(x0*(1.9594148073522577 - x0))/(0.040585192647742296*x1*exp(x1) - x1 + 3.8606907267233312),saturated,313.530917,38,7,37,7,146,155,58,2,82,((exp((((x0 + x0) - (x0 * (x0 + 0.040585192647742296))) + -1.0149512623308583)) * (((log((exp(x1) - x1)) + (-0.1719952089958853 * x1)) + 1.122619161739475) / ((x1 * (exp(x1) * 0.040585192647742296)) + (3.8606907267233312 - x1)))) * 0.6992234510287301),saturated,345.048709,33,7,31,6,234,246,79,2,69,(((((-0.043585757930282756 * x1) + (0.25341262808852694 * log((exp(x1) - x1)))) + 0.28448587211893944) * exp((x0 * (1.9594148073522577 - x0)))) / ((((0.040585192647742296 * x1) * exp(x1)) - x1) + 3.8606907267233312)) +kotanchek,176,SBP,SBP,27,1,kept,5.0,5.0,3.531127+0.009016*(((((((x0*x0)+20.982000)*(x0-18.033000))+((15.309000*x1)-exp(x1)))+(exp(x0)+exp(x0)))+x0)),0.009016*x0 + 0.138025944*x1 + 0.009016*(x0 - 18.033)*(x0**2 + 20.982) + 0.018032*exp(x0) - 0.009016*exp(x1) + 3.531127,saturated,345.603458,28,5,28,5,526,534,81,2,61,(3.531127 + (0.009016 * ((((((x0 * x0) + 20.982) * (x0 + -18.033)) + ((15.309 * x1) - exp(x1))) + (exp(x0) + exp(x0))) + x0))),saturated,13144.638666,31,8,27,6,414,433,117,2,68,(((-0.009016 * (((exp(x1) - x0) + (-15.309000000000001 * x1)) + ((-20.982 - (x0 ** 2.0)) * (x0 + -18.033)))) + (0.018032 * exp(x0))) + 3.531127) +kotanchek,186,SRjl,SRjl,7,1,kept,8.0,6.0,((((x1 / (exp(((x0 - 0.7606913305573865) * x0) + 1.5634875728815227) + exp(x1))) / 1.5634875728815227) * (((((exp(x1) * (x0 - -0.19417161363442786)) - x0) * -0.013296556398828556) - -0.3269889622210912) + 1.4134785703367858)) * (x1 + (x0 + ((x0 + -0.3269889622210912) * x1)))),0.63959574565533024*x1*(0.013296556398828556*x0 - (0.013296556398828556*x0 + 0.0025818138117417178)*exp(x1) + 1.740467532557877)*(x0 + x1*(x0 - 0.3269889622210912) + x1)/(exp(x1) + 4.7754469558976339*exp(x0*(x0 - 0.7606913305573865))),saturated,484.986000,40,8,36,6,263,271,65,2,77,(((x1 / (exp((((x0 + -0.7606913305573865) * x0) + 1.5634875728815227)) + exp(x1))) * ((-130.89611177155723 + ((exp(x1) * (x0 + 0.19417161363442786)) - x0)) * -0.008504420904556904)) * (x1 + (x0 + ((x0 + -0.3269889622210912) * x1)))),saturated,2416.618500,40,8,34,6,260,268,64,2,74,(((x1 * (0.6730110377789088 + x0)) + x0) * (x1 * ((0.0017808638611416302 / (exp((x0 * (x0 + -0.7606913305573865))) + (0.20940448281286198 * exp(x1)))) * ((x0 + ((-0.19417161363442784 - x0) * exp(x1))) + 130.8961117715572)))) +kotanchek,188,SRjl,SRjl,9,1,kept,8.0,7.0,(((((exp(x1 - ((x1 * 2.5453490974043493) + ((x0 * 0.5411409793785076) * x0))) * x1) * (x0 + 0.4339810714841567)) * (((((x0 + x1) / 0.9520033739001882) + exp((0.8325766331394892 / 0.6756390603608541) - (((x1 * 2.5453490974043493) * x1) * x1))) * x1) - -0.40562409423561496)) * x1) / 1.5660393014789127),0.63855357848020481*x1**2*(x0 + 0.4339810714841567)*(x1*(1.050416445377896*(x0 + x1)*exp(2.5453490974043493*x1**3) + 3.429039507965635) + 0.40562409423561496*exp(2.5453490974043493*x1**3))*exp(-0.5411409793785076*x0**2 - 2.5453490974043493*x1**3 - 1.5453490974043493*x1),saturated,525.806042,45,9,43,8,547,562,113,2,96,((((exp(((x1 - (x1 * 2.5453490974043493)) - ((x0 * 0.5411409793785076) * x0))) * x1) * (x0 + 0.4339810714841567)) * (((((x0 + x1) / 0.9520033739001882) + exp((2.5453490974043493 * (0.4841301322429487 - ((x1 * x1) * x1))))) * x1) - -0.40562409423561496)) * (x1 / 1.5660393014789127)),saturated,687.668500,52,10,50,9,509,532,154,2,130,((((0.2590127168919437 * (exp((2.5453490974043493 * (x1 ** 3.0))) + (2.589630301319675 * (x1 * ((exp((2.5453490974043493 * (x1 ** 3.0))) * (x0 + x1)) + 3.264457180820327))))) * (x1 ** 2.0)) * (x0 + 0.4339810714841567)) * exp((((-0.5411409793785076 * (x0 ** 2.0)) + (-2.5453490974043493 * (x1 ** 3.0))) + (-1.5453490974043493 * x1)))) +kotanchek,191,SRjl,SRjl,12,1,kept,9.0,8.0,(((((x1 - -0.8573197210520271) - (((((((x0 + 0.243655222569968) * ((x1 + -2.4978659229280784) - 0.6006378442243304)) - x0) * (x1 - -0.011366947974237162)) * x1) * 0.8729303966766084) - x0)) + (x0 * 0.32999628448933405)) / ((((exp(x0) * x0) * x0) * x0) - -11.469419384037693)) / 1.3572025597522632),(0.97995415270370898*x0 + 0.64318357669171258*x1*(x0 - (x0 + 0.243655222569968)*(x1 - 3.0985037671524088))*(x1 + 0.011366947974237162) + 0.73680969197592353*x1 + 0.63168147959322877)/(x0**3*exp(x0) + 11.469419384037693),saturated,409.313916,42,9,40,8,450,464,109,2,92,(((((x0 * 0.32999628448933405) + ((x1 + 0.8573197210520271) + (-0.8729303966766084 * (((((x0 + 0.243655222569968) * (-3.0985037671524087 + x1)) - x0) * (x1 + 0.011366947974237162)) * x1)))) + x0) / ((((exp(x0) * x0) * x0) * x0) + 11.469419384037693)) / 1.3572025597522632),saturated,1129.097125,36,8,34,8,249,267,101,2,87,((((x1 * ((((x1 + 0.011366947974237162) * (x0 - ((x0 + 0.243655222569968) * (x1 + -3.0985037671524087)))) * 0.6431835766917126) + 0.7368096919759235)) + (0.979954152703709 * x0)) + 0.6316814795932287) / (((x0 ** 3.0) * exp(x0)) + 11.469419384037693)) +kotanchek,190,SRjl,SRjl,11,1,kept,5.0,3.0,(exp(((x0 + -0.21546645087388747) - (x0 * x0)) - (x1 - x0)) * (((x1 + (((exp(((x1 - (x1 * x1)) + (x1 + 0.7393127343318426)) * x1) + (x1 * x1)) - x1) * -0.07637600437144379)) * 0.7393127343318426) * (x1 + (x1 * 0.05221153846822916)))),-0.84825644735156917*x1*(0.05646575262919287*x1**2 - 0.7957784869610355*x1 + 0.05646575262919287*exp(x1*(-x1**2 + 2*x1 + 0.7393127343318426)))*exp(-x0**2 + 2*x0 - x1),saturated,288.462209,43,5,43,5,137,143,49,1,84,(exp((((x0 + -0.21546645087388747) - (x0 * x0)) - (x1 - x0))) * (((x1 + (((exp((((x1 - (x1 * x1)) + (x1 + 0.7393127343318426)) * x1)) + (x1 * x1)) - x1) * -0.07637600437144379)) * 0.7393127343318426) * (x1 + (x1 * 0.05221153846822916)))),saturated,1981.762250,43,9,35,5,123,129,44,2,84,(((-0.04789743872227167 * x1) * (exp((x1 * (((2.0 * x1) - (x1 ** 2.0)) + 0.7393127343318426))) + ((x1 ** 2.0) + (-14.093117507648643 * x1)))) * exp((((2.0 * x0) - (x0 ** 2.0)) - x1))) +kotanchek,193,SRjl,SRjl,14,1,kept,7.0,5.0,(exp((-0.7318040896636137 - (x0 * x0)) + ((x0 + x0) - x1)) * ((((x1 - -0.039858290344846364) / 0.9598793817164541) * x1) - (exp((0.13235515895495698 - x0) + (((x0 + 0.09098361423696229) - x1) * x1)) * ((x1 * (x1 / 0.9039712460608937)) - (0.16031841194029647 / 0.9446831697758643))))),0.4810403668350914*(x1*(1.041797562326844*x1 + 0.041524269719776521) + (0.1937217302155371 - 1.2627765219929556*x1**2)*exp(-x0 + x1*(x0 - x1 + 0.09098361423696229)))*exp(-x0**2 + 2*x0 - x1),saturated,312.350833,43,8,41,7,104,114,56,2,89,(exp(((-0.7318040896636137 - (x0 * x0)) + ((x0 + x0) - x1))) * ((((x1 + 0.039858290344846364) / 0.9598793817164541) * x1) - (exp(((0.13235515895495698 - x0) + (((x0 + 0.09098361423696229) - x1) * x1))) * ((x1 * (x1 / 0.9039712460608937)) + -0.1697060105117927)))),saturated,446.280791,43,9,37,6,91,99,46,2,87,((0.5011466815496091 * ((x1 * (x1 + 0.03985829034484636)) + (1.2121131471766524 * (exp(((x1 * ((x0 - x1) + 0.09098361423696229)) - x0)) * (0.15340935378636836 - (x1 ** 2.0)))))) * exp((((2.0 * x0) - (x0 ** 2.0)) - x1))) +kotanchek,194,SRjl,SRjl,15,1,kept,8.0,5.0,((((exp((((x1 * x1) + (x0 * x0)) + x0) * -0.17830776423842798) / 1.4092295785725586) * x1) / ((((exp(x0) - x0) - x0) / 0.34806215833743864) + 1.7208022848793882)) * ((((x0 - -0.17948040180341088) - -0.42075853691198073) + (((x0 + -0.1759177414425294) * x0) - -0.3726818556226753)) * x1)),x1**2*(0.70960758644657689*x0*(x0 - 0.1759177414425294) + 0.70960758644657689*x0 + 0.69039197667392207)*exp(-0.17830776423842798*x0**2 - 0.17830776423842798*x0 - 0.17830776423842798*x1**2)/(-5.7461000918722219*x0 + 2.8730500459361109*exp(x0) + 1.7208022848793882),saturated,496.140292,43,8,39,6,487,496,89,2,82,(((exp(((((x1 * x1) + (x0 * x0)) + x0) * -0.17830776423842798)) * (x1 / 1.4092295785725586)) / ((((exp(x0) - x0) - x0) / 0.34806215833743864) + 1.7208022848793882)) * (((0.9729207943380669 + x0) + ((x0 + -0.1759177414425294) * x0)) * x1)),saturated,1625.711083,45,10,35,6,280,290,73,2,88,((((-0.12349377405560806 * ((x0 * (0.8240822585574706 + x0)) + 0.972920794338067)) * (x1 ** 2.0)) * exp((-0.17830776423842798 * (((x0 ** 2.0) + x0) + (x1 ** 2.0))))) / ((x0 + (-0.5 * exp(x0))) + -0.2994730786735579)) +kotanchek,195,SRjl,SRjl,16,1,kept,5.0,4.0,(((x1 + (0.6193677368705359 * x0)) / ((exp(x0 * x0) - x1) + (exp(x1) + 2.853886507925958))) * ((x1 * (((x1 + ((0.05317370141890812 / 1.1778919118254807) - 0.2923135815181234)) / (((exp(x1) + 1.6282363698705866) - (x0 + x1)) + exp(0.5154765131661209))) * (x1 + x1))) + x0)),(0.6193677368705359*x0 + x1)*(x0*(x0 + x1 - exp(x1) - 3.3026725724919279) + x1**2*(0.4943409476627152 - 2*x1))/((x0 + x1 - exp(x1) - 3.3026725724919279)*(-x1 + exp(x0**2) + exp(x1) + 2.853886507925958)),saturated,297.148875,45,7,40,5,142,149,54,2,79,(((x1 + (0.6193677368705359 * x0)) / ((exp((x0 * x0)) - x1) + (exp(x1) + 2.853886507925958))) * ((x1 * (((x1 + -0.24717047383135762) / (((exp(x1) + 1.6282363698705866) - (x0 + x1)) + 1.6744362026213413)) * (x1 + x1))) + x0)),saturated,304.791125,49,7,47,6,144,157,69,2,101,((((0.6193677368705359 * x0) + x1) * ((x0 * (((x0 + x1) - exp(x1)) - 3.302672572491928)) + ((x1 ** 2.0) * (0.4943409476627152 - (2.0 * x1))))) / ((((x0 + x1) - exp(x1)) - 3.302672572491928) * (((exp((x0 ** 2.0)) - x1) + exp(x1)) - -2.853886507925958))) +kotanchek,189,SRjl,SRjl,10,1,kept,5.0,5.0,(((((((x0 * (x1 + ((x1 + 1.1969160127334812) * x1))) - 0.7816954182701782) + exp((x0 - x1) - x1)) + x1) + x1) / (0.6953513046017712 - ((exp(x0 * x0) + x0) * -0.30094257465321056))) / (((((x1 - x0) * x1) - x1) * x1) + 9.716267429330689)),(x0*x1*(x1 + 2.1969160127334812) + 2*x1 + exp(x0 - 2*x1) - 0.7816954182701782)/((-x1**2*(x0 - x1 + 1) + 9.716267429330689)*(0.30094257465321056*x0 + 0.30094257465321056*exp(x0**2) + 0.6953513046017712)),saturated,364.819292,45,5,45,5,336,350,105,2,87,(((((x1 + ((x0 * (x1 + ((x1 + 1.1969160127334812) * x1))) + -0.7816954182701782)) + 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(((exp(x1) + x0) * 0.16055540314602817) - x0))) + x0) - 0.6904329788496647)))) - 0.4136548477385049) * 0.6214063774224301) + x1)) * x1),saturated,2083.617875,37,8,35,7,337,356,112,2,84,(((0.5126111526206354 * x1) * (((((1.143042603400289 * x0) * x1) * (((x0 + (1.6309270771900075 * x1)) - (0.08728471812667168 * exp(x1))) - 0.37534861339695796)) + x1) - 0.2570477604364112)) * exp(((-0.6022120672089649 * (x0 ** 2.0)) - x1))) +kotanchek,209,SRjl,SRjl,30,1,kept,8.0,5.0,(((((x1 + ((x0 + (0.22599078633925967 * -1.0472058462434648)) - ((-0.041129877765828333 - 0.6933744860762721) + (log(0.3913793270250966) * -0.04529560337326411)))) / (exp(x1) + (((7.787500628085413 - x1) - x1) - x1))) / ((exp(x0) - ((x0 - 0.5311915415003168) / 0.6723070296996237)) - x0)) - 0.01811268853996139) * x1),x1*(x0 + x1 - 0.01811268853996139*(-2.487415653599196*x0 + exp(x0) + 0.7901026138870583)*(-3*x1 + exp(x1) + 7.787500628085413) + 0.45535468020164982)/((-2.487415653599196*x0 + exp(x0) + 0.7901026138870583)*(-3*x1 + exp(x1) + 7.787500628085413)),saturated,297.872334,42,10,31,5,79,89,47,2,66,(((((x1 + (0.4553546802016498 + x0)) / (exp(x1) + (((7.787500628085413 - x1) - x1) - x1))) / ((exp(x0) - ((x0 - 0.5311915415003168) / 0.6723070296996237)) - x0)) - 0.01811268853996139) * x1),saturated,300.266958,45,10,45,10,179,190,66,2,106,((((x0 + x1) + (-0.01811268853996139 * ((((-2.487415653599196 * x0) + exp(x0)) + 0.7901026138870583) * (((-3.0 * x1) + exp(x1)) + 7.787500628085413)))) + 0.4553546802016498) * (x1 / ((((-2.487415653599196 * x0) + exp(x0)) + 0.7901026138870583) * (((-3.0 * x1) + exp(x1)) + 7.787500628085413)))) +kotanchek,203,SRjl,SRjl,24,1,kept,9.0,7.0,(((((((((x0 + -0.14626012317910758) * 3.3628776435387486) + -0.050504132883325455) + (((x1 - x0) + (((exp(x1) - -0.6810625779422583) - x1) * -0.09649135468467125)) * (x0 * 1.1635766746115828))) + x1) / (exp(x0 * x0) + ((exp(x1) + 3.3628776435387486) - x1))) * x1) / 1.3641929467844127) + 0.02765235981387666),(-0.73303413740492887*x1*(1.1635766746115828*x0*(x0 - 1.096491354684671*x1 + 0.09649135468467125*exp(x1) + 0.065716650770683) - 3.3628776435387486*x0 - x1 + 0.54235903126356986) - 0.02765235981387666*x1 + 0.02765235981387666*exp(x0**2) + 0.02765235981387666*exp(x1) + 0.092991502609175132)/(-x1 + exp(x0**2) + exp(x1) + 3.3628776435387486),saturated,353.892167,44,9,42,8,197,210,82,2,94,(((((((3.3628776435387486 * (-0.1612782529586318 + x0)) + (((x1 - x0) + (((exp(x1) + 0.6810625779422583) - x1) * -0.09649135468467125)) * (x0 * 1.1635766746115828))) + x1) / (exp((x0 * x0)) + ((exp(x1) + 3.3628776435387486) - x1))) * x1) / 1.3641929467844127) + 0.02765235981387666),saturated,10786.514542,60,13,48,9,381,400,125,2,114,((((0.02765235981387666 * (exp(x1) + exp((x0 ** 2.0)))) + (x1 * (-0.7330341374049288 * (0.5800821854836051 + ((x0 * (1.1635766746115828 * (-2.824404573652556 + ((x0 + (-1.096491354684671 * x1)) + (0.09649135468467125 * exp(x1)))))) - x1))))) + 0.09299150260917513) / (((3.3628776435387486 - x1) + exp((x0 ** 2.0))) + exp(x1))) +kotanchek,206,SRjl,SRjl,27,1,kept,9.0,6.0,(exp(((x0 + -2.6270807618049434) - ((x0 - 0.7307483550809931) * x0)) - x1) * ((((((((x1 * x1) / 0.5695620761153319) - (((x1 + x0) * x1) * -2.6270807618049434)) * ((x1 - 0.21002997412236857) + ((exp(x1) + -1.2305420553970035) * -0.048636102379870004))) - x0) + 0.5590230865341662) - -0.42694354206571955) + x0)),(-0.072289183862434012*x1*(2.6270807618049434*x0 + 4.3828156359040886*x1)*(-x1 + 0.048636102379870004*exp(x1) + 0.15018120473334424) + 0.07127472289708133)*exp(-x0*(x0 - 0.7307483550809931) + x0 - x1),saturated,337.578417,45,9,39,7,151,163,66,2,86,(exp((((x0 + -2.6270807618049434) - ((x0 - 0.7307483550809931) * x0)) - x1)) * ((0.9859666285998858 + (((x1 * ((x1 / 0.5695620761153319) + (2.6270807618049434 * (x1 + x0)))) * ((-0.048636102379870004 * (3.0878544411384157 + exp(x1))) + x1)) - x0)) + x0)),saturated,4855.177375,37,9,31,6,155,165,59,2,70,(((-0.01540938435845978 * ((x1 * (x1 + (0.5994048073306713 * x0))) * ((exp(x1) + (-20.560858108849814 * x1)) + 3.0878544411384152))) + 0.07127472289708132) * exp(((x0 - x1) + ((0.7307483550809931 - x0) * x0)))) +kotanchek,180,SRjl,SRjl,1,1,kept,8.0,6.0,(((x1 / ((exp(x0 * x0) + (exp(x1) + 2.123942905811524)) - -1.3807964412201128)) * (((x1 + (((x0 * x1) - (0.5001045169066385 - (log(x0 - -0.7116175810554622) * 0.40296766612240004))) - -0.44720866860488395)) + x0) + ((exp(x1 + x0) + (x1 * x1)) * -0.029820142635731767))) - -0.011424247853121624),(x1*(x0*x1 + x0 - 0.029820142635731767*x1**2 + x1 - 0.029820142635731767*exp(x0 + x1) + 0.40296766612240004*log(x0 + 0.7116175810554622) - 0.052895848301754549) + 0.011424247853121624*exp(x0**2) + 0.011424247853121624*exp(x1) + 0.040039010961077059)/(exp(x0**2) + exp(x1) + 3.5047393470316368),saturated,335.007417,45,8,41,6,855,870,150,2,84,(((x1 / (3.504739347031637 + (exp((x0 * x0)) + exp(x1)))) * (((x1 + ((-0.05289584830175453 + (x0 * x1)) + (log((x0 - -0.7116175810554622)) * 0.40296766612240004))) + x0) + ((exp((x1 + x0)) + (x1 * x1)) * -0.029820142635731767))) - -0.011424247853121624),saturated,53229.378042,55,9,51,7,846,860,149,2,114,((((0.011424247853121624 * (exp((x0 ** 2.0)) + exp(x1))) + (x1 * (((((-0.029820142635731767 * (exp((x0 + x1)) + (x1 ** 2.0))) + ((x0 * x1) + x0)) + x1) + (0.40296766612240004 * log((x0 + 0.7116175810554622)))) + -0.05289584830175455))) + 0.04003901096107706) / ((exp((x0 ** 2.0)) + exp(x1)) + 3.5047393470316366)) diff --git a/python/egglog/exp/param_eq/artifacts/haskell_live_rows.csv b/python/egglog/exp/param_eq/artifacts/haskell_live_rows.csv index 671cc579..0f015f3b 100644 --- a/python/egglog/exp/param_eq/artifacts/haskell_live_rows.csv +++ b/python/egglog/exp/param_eq/artifacts/haskell_live_rows.csv @@ -1,342 +1,342 @@ dataset,raw_index,algorithm_raw,algorithm,algo_row,is_paper_row,drop_reason,original_expr,sympy_expr,raw_csv_index,orig_nodes,orig_params,simpl_nodes,simpl_params,orig_nodes_sympy,orig_params_sympy,simpl_nodes_sympy,simpl_params_sympy,n_params,n_rank,orig_live_status,sympy_live_status,orig_runtime_ms,sympy_runtime_ms,orig_rendered_haskell,orig_rendered_python,sympy_rendered_haskell,sympy_rendered_python,baseline_source -pagie,0,Bingo,Bingo,1,1,kept,0.5240322255066139 + (-0.45351118068033663)*(plog(-54.93119319072758 + (755.3723998652232)*((plog((-2)*((x0)*((x1)^(-1))) + (-66438756992.645454)*((x0)*(x1))))^(-1)) + plog((-2)*((x0)*((x1)^(-1))) + (-66438756992.645454)*((x0)*(x1))))),(0.5240322255066139) + ((-0.45351118068033663) * (log(abs((log(abs((x0) * (((-2.0) * ((x1)^(-1))) + ((x1) * (-6.6438756992645454e10)))))) + ((-54.93119319072758) + ((755.3723998652232) * ((log(abs((x0) * (((-2.0) * ((x1)^(-1))) + ((x1) * (-6.6438756992645454e10))))))^(-1)))))))),0,43,8,34,7,39,8,34,7,6.0,4.0,saturated,saturated,1.0e-3,0.0,(0.5240322255066139) + ((-0.45351118068033663) * (Log(Abs((Log(Abs((x0) * (((x1)^(-1)) + ((x1) * (3.3219378496322727e10)))))) + (((755.3723998652232) * ((Log(Abs((x0) * ((((x1)^(-1)) * (-2.0)) + ((x1) * (-6.6438756992645454e10))))))^(-1))) + (-54.238046010167636)))))),(0.5240322255066139 + (-0.45351118068033663 * log(abs((log(abs((x0 * ((x1 ** -1.0) + (x1 * 33219378496.322727))))) + ((755.3723998652232 * (log(abs((x0 * (((x1 ** -1.0) * -2.0) + (x1 * -66438756992.645454))))) ** -1.0)) + -54.238046010167636)))))),(0.5240322255066139) + ((-0.45351118068033663) * (Log(Abs((((755.3723998652232) * ((Log(Abs((x0) * (((-2.0) * ((x1)^(-1))) + ((x1) * (-6.6438756992645454e10))))))^(-1))) + (Log(Abs((x0) * (((x1)^(-1)) + ((x1) * (3.3219378496322727e10))))))) + (-54.238046010167636))))),(0.5240322255066139 + (-0.45351118068033663 * log(abs((((755.3723998652232 * (log(abs((x0 * ((-2.0 * (x1 ** -1.0)) + (x1 * -66438756992.645454))))) ** -1.0)) + log(abs((x0 * ((x1 ** -1.0) + (x1 * 33219378496.322727)))))) + -54.238046010167636))))),live_haskell -pagie,1,Bingo,Bingo,2,1,kept,0.04547093390683249 + (0.17516554602688977)*(plog((34.093055726490284)*((x0)*(x0)) + x1 + (-428.9738000218307)*(((x0)*(x0))*((x1)*(x1))))),(4.547093390683249e-2) + ((0.17516554602688977) * (log(abs((x1) + ((x0) * ((x0) * ((34.093055726490284) + ((-428.9738000218307) * ((x1) * (x1)))))))))),1,23,4,19,4,19,4,19,4,4.0,4.0,saturated,saturated,0.0,0.0,(4.547093390683249e-2) + ((0.17516554602688977) * (Log(Abs((x1) + ((x0) * ((x0) * ((34.093055726490284) + ((-428.9738000218307) * ((x1) * (x1)))))))))),(0.04547093390683249 + (0.17516554602688977 * log(abs((x1 + (x0 * (x0 * (34.093055726490284 + (-428.9738000218307 * (x1 * x1)))))))))),(4.547093390683249e-2) + ((0.17516554602688977) * (Log(Abs((x1) + ((x0) * ((x0) * ((34.093055726490284) + ((-428.9738000218307) * ((x1) * (x1)))))))))),(0.04547093390683249 + (0.17516554602688977 * log(abs((x1 + (x0 * (x0 * (34.093055726490284 + (-428.9738000218307 * (x1 * x1)))))))))),live_haskell -pagie,2,Bingo,Bingo,3,1,kept,((plog(1 - ((-4.620613175155346)*(-4.620613175155346))))^(-1))*(plog(1 + ((-0.7045923450774843)^(-1))*((x1)*(x0 + ((-4.620613175155346)*(-4.620613175155346) - (-0.7045923450774843))*(x0) + plog(-0.5941007048060543 + x0))) - (x0))),(0.331885850726245) * (log(abs(((1.0) + ((-1.4192603808235096) * ((x1) * (((x0) + ((x0) * (22.05465845949665))) + (log(abs((x0) + (-0.5941007048060543)))))))) - (x0)))),2,37,9,23,5,23,5,23,5,5.0,5.0,saturated,saturated,0.0,0.0,(0.331885850726245) * (Log(Abs(((1.0) + ((-1.4192603808235096) * ((x1) * (((x0) + ((x0) * (22.05465845949665))) + (Log(Abs((x0) + (-0.5941007048060543)))))))) - (x0)))),(0.331885850726245 * log(abs(((1.0 + (-1.4192603808235096 * (x1 * ((x0 + (x0 * 22.05465845949665)) + log(abs((x0 + -0.5941007048060543))))))) - x0)))),(0.331885850726245) * (Log(Abs(((1.0) + ((-1.4192603808235096) * ((x1) * (((x0) + ((x0) * (22.05465845949665))) + (Log(Abs((x0) + (-0.5941007048060543)))))))) - (x0)))),(0.331885850726245 * log(abs(((1.0 + (-1.4192603808235096 * (x1 * ((x0 + (x0 * 22.05465845949665)) + log(abs((x0 + -0.5941007048060543))))))) - x0)))),live_haskell -pagie,3,Bingo,Bingo,4,1,kept,(321.50462762611204)*((((-2588.281378882496)^(-1))*((x0)*(x1)) + plog((3323.2144588507704)*((x0)*(x1))) - (3.834139037636267))*(((((-2588.281378882496)^(-1))*((x0)*(x1)) + plog((3323.2144588507704)*((x0)*(x1))) - (-2588.281378882496 + 3.834139037636267 + plog(-2588.281378882496)))^(-1))*(plog(plog((3323.2144588507704)*((x0)*(x1))))))),(321.50462762611204) * (((((-3.8635675709715734e-4) * ((x0) * (x1))) + (log(abs(((x0) * (x1)) * (3323.2144588507704))))) - (3.834139037636267)) * ((((((-3.8635675709715734e-4) * ((x0) * (x1))) + (log(abs(((x0) * (x1)) * (3323.2144588507704))))) - (-2576.588490470697))^(-1)) * (log(abs(log(abs(((x0) * (x1)) * (3323.2144588507704)))))))),3,55,10,40,6,45,8,40,6,9.0,6.0,saturated,saturated,0.0,0.0,(321.50462762611204) * (((((-3.8635675709715734e-4) * ((x0) * (x1))) + (Log(Abs((x0) * (x1))))) + (4.274548766358028)) * ((((((-3.8635675709715734e-4) * ((x0) * (x1))) + (Log(Abs((x0) * (x1))))) + (2584.697178274691))^(-1)) * (Log(Abs(Log(Abs(((x0) * (x1)) * (3323.2144588507704)))))))),(321.50462762611204 * ((((-0.00038635675709715734 * (x0 * x1)) + log(abs((x0 * x1)))) + 4.274548766358028) * (((((-0.00038635675709715734 * (x0 * x1)) + log(abs((x0 * x1)))) + 2584.697178274691) ** -1.0) * log(abs(log(abs(((x0 * x1) * 3323.2144588507704)))))))),(321.50462762611204) * (((((-3.8635675709715734e-4) * ((x0) * (x1))) + (Log(Abs((x0) * (x1))))) + (4.274548766358028)) * ((((((-3.8635675709715734e-4) * ((x0) * (x1))) + (Log(Abs((x0) * (x1))))) + (2584.697178274691))^(-1)) * (Log(Abs(Log(Abs(((x0) * (x1)) * (3323.2144588507704)))))))),(321.50462762611204 * ((((-0.00038635675709715734 * (x0 * x1)) + log(abs((x0 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0.483015536722571) * 0.5321728617273266) + x1)) * x1),0.51261115262063534*x1*(0.6214063774224301*x0*x1*(1.8394445968539718*x0 + 3*x1 - 0.16055540314602817*exp(x1) - 0.6904329788496647) + x1 - 0.2570477604364112)*exp(-0.6022120672089649*x0**2 - x1),208,45,8,41,6,39,9,34,7,8.0,6.0,saturated,saturated,0.0,1.0e-3,(x1) * (((Exp((((x0) * (x0)) * (-0.6022120672089649)) - (x1))) / (1.9507964172992998)) * ((x1) + ((((x0) * ((x1) * ((x1) + (((x0) + ((x1) + ((x1) - ((((x0) + (Exp(x1))) * (0.16055540314602817)) - (x0))))) - (0.6904329788496647))))) + (-0.4136548477385049)) * (0.6214063774224301)))),(x1 * ((exp((((x0 * x0) * -0.6022120672089649) - x1)) / 1.9507964172992998) * (x1 + (((x0 * (x1 * (x1 + ((x0 + (x1 + (x1 - (((x0 + exp(x1)) * 0.16055540314602817) - x0)))) - 0.6904329788496647)))) + -0.4136548477385049) * 0.6214063774224301)))),(((0.5126111526206354) * (x1)) * (((1.143042603400289) * (((x1) * (x0)) * ((((x0) + ((x1) * (1.6309270771900073))) + ((Exp(x1)) * (-8.72847181266717e-2))) + (-0.3753486133969581)))) + ((x1) + (-0.2570477604364112)))) * (Exp((((x0)^(2)) * (-0.6022120672089649)) - (x1))),(((0.5126111526206354 * x1) * ((1.143042603400289 * ((x1 * x0) * (((x0 + (x1 * 1.6309270771900073)) + (exp(x1) * -0.0872847181266717)) + -0.3753486133969581))) + (x1 + -0.2570477604364112))) * exp((((x0 ** 2.0) * -0.6022120672089649) - x1))),live_haskell +kotanchek,209,SRjl,SRjl,30,1,kept,(((((x1 + ((x0 + (0.22599078633925967 * -1.0472058462434648)) - ((-0.041129877765828333 - 0.6933744860762721) + (log(0.3913793270250966) * -0.04529560337326411)))) / (exp(x1) + (((7.787500628085413 - x1) - x1) - x1))) / ((exp(x0) - ((x0 - 0.5311915415003168) / 0.6723070296996237)) - x0)) - 0.01811268853996139) * x1),x1*(x0 + x1 - 0.01811268853996139*(-2.487415653599196*x0 + exp(x0) + 0.7901026138870583)*(-3*x1 + exp(x1) + 7.787500628085413) + 0.45535468020164982)/((-2.487415653599196*x0 + exp(x0) + 0.7901026138870583)*(-3*x1 + exp(x1) + 7.787500628085413)),209,33,6,31,5,33,6,31,5,8.0,5.0,saturated,saturated,1.0e-3,1.0e-3,(x1) * (((((x1) + ((x0) + (0.4553546802016498))) / ((Exp(x1)) + ((((7.787500628085413) - (x1)) - (x1)) - (x1)))) / (((Exp(x0)) - (((x0) - (0.5311915415003168)) / (0.6723070296996237))) - (x0))) + (-1.811268853996139e-2)),(x1 * ((((x1 + (x0 + 0.4553546802016498)) / (exp(x1) + (((7.787500628085413 - x1) - x1) - x1))) / ((exp(x0) - ((x0 - 0.5311915415003168) / 0.6723070296996237)) - x0)) + -0.01811268853996139)),(x1) * (((((x1) + ((x0) + (0.4553546802016498))) / ((Exp(x1)) + ((((7.787500628085413) - (x1)) - (x1)) - (x1)))) / (((Exp(x0)) - (((x0) - (0.5311915415003168)) / (0.6723070296996237))) - (x0))) + (-1.811268853996139e-2)),(x1 * ((((x1 + (x0 + 0.4553546802016498)) / (exp(x1) + (((7.787500628085413 - x1) - x1) - x1))) / ((exp(x0) - ((x0 - 0.5311915415003168) / 0.6723070296996237)) - x0)) + -0.01811268853996139)),live_haskell diff --git a/python/egglog/exp/param_eq/artifacts/haskell_paper_rows.csv b/python/egglog/exp/param_eq/artifacts/haskell_paper_rows.csv index 779a81ac..b57c6738 100644 --- a/python/egglog/exp/param_eq/artifacts/haskell_paper_rows.csv +++ b/python/egglog/exp/param_eq/artifacts/haskell_paper_rows.csv @@ -1,421 +1,421 @@ dataset,raw_index,algorithm_raw,algorithm,algo_row,is_paper_row,drop_reason,original_expr,sympy_expr,raw_csv_index,orig_nodes,orig_params,simpl_nodes,simpl_params,orig_nodes_sympy,orig_params_sympy,simpl_nodes_sympy,simpl_params_sympy,n_params,n_rank -pagie,0,Bingo,Bingo,1,1,kept,0.5240322255066139 + (-0.45351118068033663)*(plog(-54.93119319072758 + (755.3723998652232)*((plog((-2)*((x0)*((x1)^(-1))) + (-66438756992.645454)*((x0)*(x1))))^(-1)) + plog((-2)*((x0)*((x1)^(-1))) + (-66438756992.645454)*((x0)*(x1))))),(0.5240322255066139) + ((-0.45351118068033663) * (log(abs((log(abs((x0) * (((-2.0) * ((x1)^(-1))) + ((x1) * (-6.6438756992645454e10)))))) + ((-54.93119319072758) + ((755.3723998652232) * ((log(abs((x0) * (((-2.0) * ((x1)^(-1))) + ((x1) * (-6.6438756992645454e10))))))^(-1)))))))),0,43.0,8.0,36.0,8.0,37.0,10.0,33.0,8.0,6.0,4.0 -pagie,1,Bingo,Bingo,2,1,kept,0.04547093390683249 + (0.17516554602688977)*(plog((34.093055726490284)*((x0)*(x0)) + x1 + (-428.9738000218307)*(((x0)*(x0))*((x1)*(x1))))),(4.547093390683249e-2) + ((0.17516554602688977) * (log(abs((x1) + ((x0) * ((x0) * ((34.093055726490284) + ((-428.9738000218307) * ((x1) * (x1)))))))))),1,23.0,4.0,19.0,4.0,25.0,5.0,17.0,4.0,4.0,4.0 -pagie,2,Bingo,Bingo,3,1,kept,((plog(1 - ((-4.620613175155346)*(-4.620613175155346))))^(-1))*(plog(1 + ((-0.7045923450774843)^(-1))*((x1)*(x0 + ((-4.620613175155346)*(-4.620613175155346) - (-0.7045923450774843))*(x0) + plog(-0.5941007048060543 + x0))) - (x0))),(0.331885850726245) * (log(abs(((1.0) + ((-1.4192603808235096) * ((x1) * (((x0) + ((x0) * (22.05465845949665))) + (log(abs((x0) + (-0.5941007048060543)))))))) - (x0)))),2,27.0,5.0,23.0,5.0,23.0,6.0,21.0,5.0,5.0,5.0 -pagie,3,Bingo,Bingo,4,1,kept,(321.50462762611204)*((((-2588.281378882496)^(-1))*((x0)*(x1)) + plog((3323.2144588507704)*((x0)*(x1))) - (3.834139037636267))*(((((-2588.281378882496)^(-1))*((x0)*(x1)) + plog((3323.2144588507704)*((x0)*(x1))) - (-2588.281378882496 + 3.834139037636267 + plog(-2588.281378882496)))^(-1))*(plog(plog((3323.2144588507704)*((x0)*(x1))))))),(321.50462762611204) * (((((-3.8635675709715734e-4) * ((x0) * (x1))) + (log(abs(((x0) * (x1)) * (3323.2144588507704))))) - (3.834139037636267)) * ((((((-3.8635675709715734e-4) * ((x0) * (x1))) + (log(abs(((x0) * (x1)) * (3323.2144588507704))))) - (-2576.588490470697))^(-1)) * (log(abs(log(abs(((x0) * (x1)) * (3323.2144588507704)))))))),3,49.0,9.0,44.0,8.0,39.0,6.0,39.0,6.0,9.0,6.0 -pagie,4,Bingo,Bingo,5,1,kept,-0.7617093798419142 + (0.3424256684358176)*(plog((x1)*((249.92555522398015)*(x0) + ((x1)^(-2))*(plog(x0)) - (x0 + x1)))),(-0.7617093798419142) + ((0.3424256684358176) * (log(abs((x1) * ((((249.92555522398015) * (x0)) + (((x1)^(-2)) * (log(abs(x0))))) - ((x1) + (x0))))))),4,23.0,3.0,22.0,3.0,21.0,3.0,20.0,3.0,3.0,3.0 -pagie,5,Bingo,Bingo,6,1,kept,0.2033733319566922 + (0.0885895005060784)*(plog(((520439.72713022487)*(((x0)*(x0))*((28890.10432966032 + x0)^(-1))) + (-165.43872587343168)*(((x0)*(x0))*((x1)*(x1))) - (x1))*((520439.72713022487)*(((x0)*(x0))*((28890.10432966032 + x0)^(-1))) + (-165.43872587343168)*(((x0)*(x0))*((x1)*(x1))) - (x1)))),(0.2033733319566922) + ((8.85895005060784e-2) * (log(abs((((x0) * ((x0) * (((520439.72713022487) * (((x0) + (28890.10432966032))^(-1))) + ((-165.43872587343168) * ((x1) * (x1)))))) - (x1)) * (((x0) * ((x0) * (((520439.72713022487) * (((x0) + (28890.10432966032))^(-1))) + ((-165.43872587343168) * ((x1) * (x1)))))) - (x1)))))),5,53.0,8.0,43.0,8.0,37.0,8.0,31.0,7.0,8.0,5.0 -pagie,6,Bingo,Bingo,7,1,kept,(0.33963694568414915)*(plog((-35.167844692926785)*(((-1)*(((2)^(-1))*((1.1727867299483856)^(-1))))*((x0)*((58.20319882282552 + x0)*(x1))) + plog(x1)))) - (1.1727867299483856),((0.33963694568414915) * (log(abs((-35.167844692926785) * (((-0.42633497398286985) * ((x0) * (((x0) + (58.20319882282552)) * (x1)))) + (log(abs(x1)))))))) - (1.1727867299483856),6,21.0,5.0,21.0,5.0,21.0,5.0,21.0,5.0,6.0,4.0 -pagie,7,Bingo,Bingo,8,1,kept,(0.3219453819768659)*(4.881341193040894 + (0.006998797255225593)*(x0) + (-3.3010592991000216)*(exp((-0.7560873364652252)*((x0)*(x0)))) + plog(x1)),(0.3219453819768659) * ((((4.8813411930408925) + ((6.99879725522559e-3) * (x0))) + ((-3.301059299100023) * (exp((-0.7560873364652252) * ((x0) * (x0)))))) + (log(abs(x1)))),7,20.0,5.0,20.0,5.0,22.0,6.0,19.0,5.0,5.0,5.0 -pagie,8,Bingo,Bingo,9,1,kept,(-0.0016845463969705932)*((plog(x1 + (-5504.7494866201905)*((x0)*(x1))))*(35.98329321843688 + (-0.17812022427202742)*(35.98329321843688 + x0) + (-12.262360262937122)*(plog(x1 + (-5504.7494866201905)*((x0)*(x1)))))),((x0) + (((log(abs((x1) + ((-5504.7494866201905) * ((x0) * (x1)))))) * (68.84316653570957)) + (-166.03359377740895))) * ((log(abs((x1) + ((-5504.7494866201905) * ((x0) * (x1)))))) * (3.000517820250378e-4)),8,31.0,7.0,27.0,5.0,27.0,7.0,27.0,7.0,7.0,5.0 -pagie,9,Bingo,Bingo,10,1,kept,(-1647.7560776017172)*((plog(x1 + (-5504.7201863492755)*((x0)*(x1))))*(3.021827100299453e-05 + (-1.2535194814297265e-05)*(plog(x1 + (-5504.7201863492755)*((x0)*(x1)))))),((log(abs((x1) + ((-5504.7201863492755) * ((x1) * (x0)))))) + (-2.410674221714407)) * ((log(abs((x1) + ((-5504.7201863492755) * ((x1) * (x0)))))) * (2.0654943439179847e-2)),9,25.0,5.0,23.0,4.0,23.0,6.0,23.0,6.0,5.0,4.0 -pagie,10,Bingo,Bingo,11,1,kept,1.1892515725526536 + (-1.529035305818532 + exp(plog((x0)*(x1))))*(0.2778146070096167 + (6.532680622052586e-05)*(x0) + (-0.07902303898937542)*(plog((x0)*(x1)))),(1.1892515725526536) + (((-1.529035305818532) + (abs((x0) * (x1)))) * (((0.27781460700961663) + ((x0) * (6.532680622052585e-5))) + ((log(abs((x0) * (x1)))) * (-7.902303898937543e-2)))),10,24.0,5.0,22.0,5.0,21.0,5.0,21.0,5.0,5.0,5.0 -pagie,11,Bingo,Bingo,12,1,kept,(0.32709300308221473)*(plog((2.8938067344221365)*(x0) + (33.37981491587227)*((x0)*(x1)) - (exp(0.32709300308221473)))),(0.32709300308221473) * (log(abs(((x0) * ((2.8938067344221365) + ((33.37981491587227) * (x1)))) + (-1.3869304599899066)))),11,15.0,4.0,13.0,4.0,15.0,4.0,13.0,4.0,4.0,4.0 -pagie,12,Bingo,Bingo,13,1,kept,0.46055102457050884 + (-11903.1935774518 + ((x0)^(-1))*(exp(x1)))*((-9960.615166624408 + (-8736.856642285593)*((x1)^(-2)) + ((x0)^(-1))*(exp(x1)))^(-1)) + (0.3353899762817782)*(plog(x0)),((0.46055102457050884) + (((-11903.1935774518) + (((x0)^(-1)) * (exp(x1)))) * (((((x0)^(-1)) * (exp(x1))) + ((-9960.615166624408) + ((-8736.856642285593) * ((x1)^(-2)))))^(-1)))) + ((0.3353899762817782) * (log(abs(x0)))),12,33.0,5.0,29.0,5.0,27.0,5.0,26.0,5.0,5.0,5.0 -pagie,13,Bingo,Bingo,14,1,kept,-3.6628323446084137 + (-140960.10336012763)*(((-1951.8497630927013 + x0)^(-1))*((plog(((x0)^(-1))*(-38271.243311540704 + (-3434828.851252485)*((x1)^(-1)) + (-66329.49759041717)*(x1))))^(-1))),(-3.6628323446084137) + ((-140960.10336012763) * ((((-1951.8497630927013) + (x0))^(-1)) * ((log(abs(((x0)^(-1)) * (((-38271.24331154072) + ((-3434828.8512524855) * ((x1)^(-1)))) + ((x1) * (-66329.49759041719))))))^(-1)))),13,29.0,6.0,25.0,6.0,23.0,7.0,21.0,6.0,6.0,6.0 -pagie,14,Bingo,Bingo,15,1,kept,-0.3615909827079473 - ((-0.3615909827079473 + (-0.15940944833036993 + (0.7495558385988832 + (-0.052282035688047096)*((x0)*(x0)))*(0.7495558385988832 + (-0.052282035688047096)*((x0)*(x0))))*(-0.15940944833036993 + (0.7495558385988832 + (-0.052282035688047096)*((x0)*(x0)))*(0.7495558385988832 + (-0.052282035688047096)*((x0)*(x0)))))*(plog((-242.5021661422168)*(x1)))),(-0.3615909827079473) + (((log(abs((-242.5021661422168) * (x1)))) * (((((((x0) * (x0)) + (-14.336776078714344)) * (((x0) * (x0)) + (-14.336776078714344))) + (-58.318867312320975)) * (((((x0) * (x0)) + (-14.336776078714344)) * (((x0) * (x0)) + (-14.336776078714344))) + (-58.318867312320975))) + (-48395.79570054567))) * (-7.471537092712174e-6)),14,45.0,13.0,39.0,10.0,29.0,9.0,24.0,8.0,13.0,6.0 -pagie,15,Bingo,Bingo,16,1,kept,(-0.0016724665952508537)*(292.42415431458545 + x1 + ((-1)*((-314.9892428270721)^(-1)))*((((x0)^(-1))*((x1)^(-1)))*((39.54832653926522 + x1)*(plog((-314.9892428270721)*((x0)*(x1)))))) + (-240.49898207944213)*(plog((-314.9892428270721)*((x0)*((x1)*((plog((-314.9892428270721)*((x0)*(x1))))^(-1))))))),(-1.6724665952508537e-3) * ((((292.4241543145854) + (x1)) + ((3.1747115902272137e-3) * ((((x0)^(-1)) * ((x1)^(-1))) * (((x1) + (39.54832653926522)) * (log(abs((-314.9892428270721) * ((x1) * (x0))))))))) + ((-240.49898207944213) * (log(abs((-314.9892428270721) * ((x0) * ((x1) * ((log(abs((-314.9892428270721) * ((x1) * (x0)))))^(-1))))))))),15,47.0,8.0,44.0,8.0,51.0,11.0,49.0,10.0,8.0,7.0 -pagie,16,Bingo,Bingo,17,0,paper_manual_drop,((-2)*(-0.16807062259009387) + (-0.00015170797954567304)*(x1))*(plog((-2)*(-0.16807062259009387) + (-0.00015170797954567304)*(x1) + (-86.49043797591587)*((x0)*((x1)*((-2)*(-0.16807062259009387) + (-0.00015170797954567304)*(x1)))) + (-2)*((x1)*(((-2)*(-0.16807062259009387) + (-0.00015170797954567304)*(x1) + (-86.49043797591587)*((x0)*((x1)*((-2)*(-0.16807062259009387) + (-0.00015170797954567304)*(x1)))))^(-1))))),((0.33614124518018773) + ((-1.5170797954567304e-4) * (x1))) * (log(abs((((x1) + (-2215.712358617164)) * ((-1.5170797954567304e-4) + ((x0) * ((x1) * (1.3121289595346546e-2))))) + ((-2.0) * ((x1) * ((((x1) + (-2215.712358617164)) * ((-1.5170797954567304e-4) + ((x0) * ((x1) * (1.3121289595346546e-2)))))^(-1))))))),16,49.0,13.0,36.0,9.0,53.0,15.0,36.0,9.0,12.0,10.0 -pagie,17,Bingo,Bingo,18,1,kept,(7.051978434353006)*(0.1577598589609299 + (-0.001006011746264326)*((-8.107154770143312 + x0)*((6.507788542716649 + x0 + plog(x0))*(plog((x0)*(x1)))))),((((-8.107154770143312) + (x0)) * ((((x0) + (6.507788542716649)) + 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(exp(((0.4481753110885620 * x1) * ((-1.8585087060928345) * x1))) - (1.9719880819320679 - exp((((0.2870940864086151 * x0) * ((-1.9049599170684814) * x0)) / exp((((-0.2803071439266205) * x0) * (0.7164036631584167 * x0)))))))))),(1.0117771625518799) * ((((exp((-2.733019629829414) * ((x1) * (x1)))) * (((x1) * (x1)) * (-0.8502565893153748))) - ((exp(((x1) * (x1)) * (-0.832937717513957))) + (exp(((-0.5469027270358069) * ((x0) * (x0))) / (exp(((x0) * (x0)) * (-0.20081306471850446))))))) + (1.9524420922552503)),124,49.0,13.0,37.0,7.0,47.0,12.0,32.0,7.0,13.0,7.0 -pagie,125,Operon,Operon,6,1,kept,(0.0004403672355693 + (0.9997187852859497 * (exp((((-13.4114389419555664) * x0) * (0.2287123352289200 * x0))) - ((-3.1294746398925781) + (exp((exp((((-3.3788871765136719) * x0) * (0.2795567214488983 * x0))) - (-0.1448028236627579))) + ((1.0040752887725830 + ((1.8763431310653687 * x1) * (0.6411635279655457 * x1))) / exp(((1.1580088138580322 * x1) * (1.2662296295166016 * x1))))))))),(0.9997187852859497) * (((exp((-3.067361519194734) * ((x0) * (x0)))) - ((exp((exp(((x0) * (x0)) * (-0.9445906212118871))) + (0.1448028236627579))) + (((1.004075288772583) + ((1.20304278158779) * ((x1) * (x1)))) / (exp((x1) * ((x1) * (1.4663050713484154))))))) + (3.1299151310007285)),125,45.0,13.0,35.0,8.0,52.0,14.0,31.0,8.0,13.0,8.0 -pagie,126,Operon,Operon,7,1,kept,(0.0028247879818082 + (0.9984024167060852 * (0.7176343202590942 - ((exp(((4.5870537757873535 * x1) * ((-0.0708576515316963) * x1))) / ((((-2.5320065021514893) * x1) * ((-0.5026428699493408) * x1)) + exp((((-1.5353101491928101) * x1) * (1.0705516338348389 * x1))))) + ((-3.4508912563323975) / exp(exp(exp(((1.6964559555053711 * x0) * ((-0.5267499089241028) * x0)))))))))),(2.8247879818082e-3) + ((0.9984024167060852) * ((0.7176343202590942) - (((exp((-0.3250278580018921) * ((x1) * (x1)))) / ((((x1) * (x1)) * (1.2726950149718164)) + (exp(((x1) * (x1)) * (-1.643628788661573))))) + ((-3.4508912563323975) / (exp(exp(exp((-0.893608020056206) * ((x0) * (x0)))))))))),126,44.0,12.0,36.0,8.0,42.0,11.0,32.0,8.0,12.0,7.0 -pagie,127,Operon,Operon,8,1,kept,((-0.0218773111701012) + (1.0134590864181519 * ((((((-0.3641613721847534) * x0) * (2.2286646366119385 * x0)) * exp((((-2.4582626819610596) * x0) * (1.0862829685211182 * x0)))) + (1.9716572761535645 - exp(((((-2.4894037246704102) * x1) * (0.2193875461816788 * x1)) * exp((((-0.4357891678810120) * x1) * ((-0.4778871238231659) * x1))))))) - exp((((-1.3948150873184204) * x0) * (0.5922598838806152 * x0)))))),(-2.18773111701012e-2) + ((1.0134590864181519) * (((((-0.8115935722082384) * ((x0) * (x0))) * (exp(((x0) * (x0)) * (-2.670368883565345)))) + ((1.9716572761535645) - (exp(((-0.5461441746109729) * ((x1) * (x1))) * (exp(((x1) * (x1)) * (0.20825803203194762))))))) - (exp(((x0) * (x0)) * (-0.8260930216501379))))),127,49.0,13.0,39.0,8.0,47.0,12.0,32.0,7.0,13.0,7.0 -pagie,128,Operon,Operon,9,1,kept,((-0.0000084446337496) + (1.0000045299530029 * ((((exp(((1.8677622079849243 * x1) * ((-3.2215218544006348) * x1))) + exp(((4.2088832855224609 * x0) * ((-1.4519027471542358) * x0)))) * 0.2748067975044250) - ((exp(((0.5492876768112183 * x1) * ((-1.6836870908737183) * x1))) + exp(((1.3932512998580933 * x0) * ((-0.6629599928855896) * x0)))) * 1.2524310350418091)) + 1.9792671203613281))),(0.2748080423663026) * ((((exp((-6.0170367718470175) * ((x1) * (x1)))) + (exp((-6.110889204701607) * ((x0) * (x0))))) - (((exp(((x1) * (x1)) * (-0.9248285706230632))) + (exp(((x0) * (x0)) * (-0.92366987184176)))) * (4.5574965627320125))) + (7.20236432919372)),128,45.0,13.0,33.0,7.0,45.0,13.0,29.0,7.0,13.0,7.0 -pagie,129,Operon,Operon,10,1,kept,(0.0000002913372725 + (1.0000000000000000 * ((1.0092900991439819 / ((((-9.8911437988281250) * x0) * ((-0.0619828216731548) * x0)) - exp((((-5.2376017570495605) * x0) * ((-0.1814788132905960) * x0))))) + ((2.9227268695831299 / ((-1.9528466463088989) - exp((((-1044.4626464843750000) * x1) * ((-0.0013573808828369) * x1))))) + (((241.8676300048828125 * x1) * (0.0000091869978860 * x1)) - (-1.9428678750991821)))))),((1.009290099143982) / (((0.6130810022262947) * ((x0) * (x0))) - (exp(((x0) * (x0)) * (0.9505137513580948))))) + ((((2.92272686958313) / ((-1.952846646308899) - (exp((1.417733629175126) * ((x1) * (x1)))))) + (((x1) * (x1)) * (2.2220374055466887e-3))) + (1.9428681664364547)),129,43.0,13.0,33.0,8.0,33.0,8.0,29.0,8.0,14.0,8.0 -pagie,130,Operon,Operon,11,1,kept,((-0.0000135196241899) + (1.0000069141387939 * ((1.2255471944808960 * exp(((-1.7740323543548584) * exp(((2.9035081863403320 * x1) * ((-0.4098204970359802) * x1)))))) - ((1.2498761415481567 * exp(((0.1515025645494461 * x0) * ((-6.0828857421875000) * x0)))) + ((-0.7505750060081482) - (0.2749604582786560 * exp(((1.1432402133941650 * x0) * ((-5.4770793914794922) * x0))))))))),(1.2255556680842972) * (((exp((-1.7740323543548584) * (exp((-1.1899171680740324) * ((x1) * (x1)))))) - ((exp((-0.9215727898026671) * ((x0) * (x0)))) * (1.019851497499911))) + ((0.6124296884342743) + ((exp(((x0) * (x0)) * (-6.261617412291798))) * (0.22435729894116463)))),130,41.0,13.0,31.0,8.0,39.0,12.0,28.0,8.0,13.0,8.0 -pagie,131,Operon,Operon,12,1,kept,((-0.0001345924683847) + (1.0000907182693481 * (((0.0052004987373948 * x0) * ((-5.5132131576538086) * x0)) - (log((((-29.4069671630859375) * x1) * (((-0.0669591948390007) + (((7.1831178665161133 * x0) * ((-12.8945026397705078) * x0)) * (((-0.0048121302388608) * x0) * ((-3.7251195907592773) * x0)))) * (11.7470531463623047 * x1)))) * ((-0.1758960038423538) + ((5.9699630737304688 * x1) * (0.0000638487472315 * x1))))))),(-1.345924683847e-4) + ((((x0) * (x0)) - ((log(((((x0) * (x0)) * ((x0) * (x0))) + (4.032877607032475e-2)) * (((x1) * (x1)) * (573.5540504295212)))) * ((((x1) * (x1)) + (-461.4577535941546)) * (-1.3294568501084911e-2)))) * (-2.867405909042241e-2)),131,48.0,14.0,32.0,6.0,32.0,8.0,24.0,6.0,14.0,6.0 -pagie,132,Operon,Operon,13,1,kept,((-0.0000847672417876) + (1.0000656843185425 * ((exp((((-1.8279364109039307) * x1) * (2.2386462688446045 * x1))) - ((-1.5547065734863281) + ((-1.6497515439987183) / exp(exp(((0.0022635490167886 * x0) * ((-443.1721801757812500) * x0))))))) - exp(exp(((-1.6148645877838135) + exp((0.5693863630294800 + ((0.0016070556594059 * x1) * ((-348.2632751464843750) * x1)))))))))),(-8.47672417876e-5) + ((1.0000656843185425) * (((exp((-4.092103025955282) * ((x1) * (x1)))) - ((-1.5547065734863281) + ((-1.6497515439987183) / (exp(exp((-1.00314195270495) * ((x0) * (x0)))))))) - (exp(exp((-1.6148645877838135) + (exp((0.56938636302948) + (((x1) * (x1)) * (-0.5596784672873918))))))))),132,41.0,12.0,35.0,9.0,45.0,14.0,32.0,9.0,12.0,8.0 -pagie,133,Operon,Operon,14,1,kept,(0.0049303476698697 + (0.9968529939651489 * ((((exp((((-0.1228989660739899) * x1) * (28.5782623291015625 * x1))) - (0.0001418351894245 * x0)) - exp((((-0.9014899730682373) * x1) * (0.9040312170982361 * x1)))) - exp((((-0.1503573954105377) * x1) * (16.6330261230468750 * x1)))) + (((-1.0727374553680420) * exp((((-0.1865450739860535) * x0) * (4.1227397918701172 * x0)))) - (-1.9877362251281738))))),(0.9968529939651489) * ((((((exp((-3.5122388924378365) * ((x1) * (x1)))) + ((x0) * (-1.418351894245e-4))) - (exp(((x1) * (x1)) * (-0.8149750775547346)))) - (exp(((x1) * (x1)) * (-2.5008984856567618)))) + ((-1.072737455368042) * (exp((-0.7690767994996578) * ((x0) * (x0)))))) + (1.9926821376144859)),133,47.0,13.0,37.0,8.0,51.0,15.0,33.0,8.0,13.0,8.0 -pagie,134,Operon,Operon,15,1,kept,((-0.0000022516087483) + (1.0000016689300537 * (((((51.6682472229003906 * x0) * ((-0.0001894439337775) * x0)) + 2.5324115753173828) + ((-46.3591499328613281) / (((13.0968494415283203 * x0) * (2.1884925365447998 * x0)) + 34.0089225769042969))) + (((-1351.7908935546875000) / (((17.2840843200683594 * x1) * (47.4518127441406250 * x1)) + 990.7814331054687500)) + ((0.0012052881065756 * x1) * ((-8.2380609512329102) * x1)))))),(-9.788252341175882e-3) * (((x0) * (x0)) + ((((((x1) * (x1)) + ((165.99479114520634) / (((x1) * (x1)) + (1.2080326581103884)))) + ((162.89497489770397) / (((x0) * (x0)) + (1.186536134285651)))) * (1.0144051369822908)) + (-258.7196837451166))),134,45.0,15.0,29.0,7.0,35.0,10.0,25.0,7.0,15.0,7.0 -pagie,135,Operon,Operon,16,1,kept,(0.0071523520164192 + (0.9955711960792542 * (((exp(((0.0195227134972811 * x1) * ((-151.1385955810546875) * x1))) * ((396057.1250000000000000 * x1) * ((-0.0000024948039936) * x1))) + ((85.4024658203125000 * x1) / ((43.1343650817871094 * x1) - (((-47.3760452270507812) * x1) * exp(((0.9379857182502747 * x0) * ((-1.2238332033157349) * x0))))))) - exp(((185448.0000000000000000 * x1) * ((-0.0000044009234443) * x1)))))),(7.1523520164192e-3) + ((0.9955711960792542) * (((x1) * (((exp((-2.9506354999103657) * ((x1) * (x1)))) * ((x1) * (-0.9880848971437344))) + ((1.9799170721159522) / ((x1) - ((exp((-1.147938066230644) * ((x0) * (x0)))) * ((x1) * (-1.0983364455978666))))))) - (exp(((x1) * (x1)) * (-0.8161424508985464))))),135,50.0,13.0,38.0,8.0,50.0,13.0,34.0,8.0,13.0,8.0 -pagie,136,Operon,Operon,17,1,kept,(0.0005329695995897 + (0.9996598958969116 * (((2.9738872051239014 + exp(((100.4859924316406250 * x1) * ((-0.0308157186955214) * x1)))) - ((((0.7702111005783081 * x0) * (1.5427883863449097 * x0)) + 1.0054689645767212) * exp((((-1.7126119136810303) * x0) * (0.8499408960342407 * x0))))) - exp(exp((((100.9902267456054688 * x1) * ((-0.0091333612799644) * x1)) + 0.0902468413114548)))))),(5.329695995897e-4) + ((0.9996598958969116) * ((((2.9738872051239014) + (exp((-3.09654807561373) * ((x1) * (x1))))) - ((((1.1882727410061449) * ((x0) * (x0))) + (1.0054689645767212)) * (exp((x0) * ((x0) * (-1.4556189044729706)))))) - (exp(exp((((x1) * (x1)) * (-0.9223802266131381)) + (9.02468413114548e-2)))))),136,45.0,13.0,37.0,9.0,54.0,15.0,31.0,8.0,13.0,8.0 -pagie,137,Operon,Operon,18,1,kept,(0.0000816054744064 + (1.0001157522201538 * (((((-0.0021946807391942) * x0) * (13.7494821548461914 * x0)) + (-8.4071483612060547)) + ((log((((6955.1982421875000000 * x1) * (16.8089103698730469 * x1)) + 27880.0878906250000000)) + log((((85251.5703125000000000 * x0) * (3.5084772109985352 * x0)) + 63949.3125000000000000))) * (((1.2129596471786499 * x1) * ((-0.0008703975472599) * x1)) + 0.3835373818874359))))),((7963.069109938157) + ((((24.277697647852335) + ((log(((x1) * (x1)) + (0.23847621165016322))) + (log(((x0) * (x0)) + (0.213803510917648))))) * (((x1) * (x1)) + (-363.2818393765012))) + (((x0) * (x0)) * (28.582070257300213)))) * (-1.0558793080580105e-3),137,45.0,14.0,31.0,7.0,37.0,10.0,27.0,7.0,14.0,7.0 -pagie,138,Operon,Operon,19,1,kept,((-0.0000098704376796) + (1.0000013113021851 * ((exp(exp(((-0.1284630000591278) - exp((((-1.7482314109802246) * x0) * (0.6576864719390869 * x0)))))) - exp((0.2162327617406845 + (((-0.0238646697252989) * x1) * (38.5694580078125000 * x1))))) - exp((((-0.9399499893188477) - exp(((1.4266452789306641 * x1) * ((-5.3529791831970215) * x1)))) * 0.8908159136772156))))),(-9.8704376796e-6) + ((1.000001311302185) * (((exp(exp((-0.1284630000591278) - (exp((-1.1497881488206758) * ((x0) * (x0))))))) - (exp((0.2162327617406845) + ((-0.9204473768402301) * ((x1) * (x1)))))) - (exp(((-0.9399499893188477) - (exp(((x1) * (x1)) * (-7.636802479922153)))) * (0.8908159136772156))))),138,41.0,12.0,35.0,9.0,45.0,14.0,34.0,10.0,12.0,9.0 -pagie,139,Operon,Operon,20,1,kept,((-0.0000002506655221) + (1.0000001192092896 * (((((-0.0002352308656555) * x0) + 1.9712915420532227) - (exp((((-0.0005102988216095) * x1) * (2861.8625488281250000 * x1))) * (1.0045522451400757 + ((0.0003667365817819 * x1) * (3236.1384277343750000 * x1))))) + (exp((((-0.0249317195266485) * x0) * (58.4497108459472656 * x0))) * ((-1.0050251483917236) + (((-0.0338098518550396) * x0) * (35.2732009887695312 * x0))))))),(1.0000001192092896) * (((-2.3523086565550004e-4) * (x0)) + (((exp((-1.4604050862753524) * ((x1) * (x1)))) * ((((x1) * (x1)) + (0.8464303072824536)) * (-1.186810345160357))) + (((exp((-1.4572517972248622) * ((x0) * (x0)))) * ((-1.0050251483917236) + (((x0) * (x0)) * (-1.192581699883334)))) + (1.9712912913877296)))),139,47.0,14.0,37.0,9.0,59.0,15.0,31.0,8.0,14.0,8.0 -pagie,140,Operon,Operon,21,1,kept,(0.0056000440381467 + (0.9965137243270874 * ((0.7391300201416016 + (exp((((-26.2499160766601562) * x1) * (0.1143757924437523 * x1))) * (((-49.5787200927734375) * x1) * (0.0202242378145456 * x1)))) - (exp(((2.2524499893188477 * x1) * ((-0.3599792122840881) * x1))) + (exp((exp((((-0.7799134254455566) * x0) * (1.5038967132568359 * x0))) * (-1.7264224290847778))) * (-1.2398984432220459)))))),(5.6000440381467e-3) + ((0.9965137243270874) * (((0.7391300201416016) + ((exp((-3.002354952849999) * ((x1) * (x1)))) * (((x1) * (x1)) * (-1.0026918256970403)))) - ((exp(((x1) * (x1)) * (-0.8108351728643014))) + ((exp((exp((-1.172909237152453) * ((x0) * (x0)))) * (-1.7264224290847778))) * (-1.239898443222046))))),140,45.0,13.0,37.0,9.0,45.0,13.0,31.0,8.0,13.0,8.0 -pagie,141,Operon,Operon,22,1,kept,(0.0059260418638587 + (0.9963514208793640 * (((1.9877398014068604 + ((((-0.0255243461579084) * x1) * (39.2693595886230469 * x1)) * exp((((-0.0006980864563957) * x1) * (4245.9946289062500000 * x1))))) - exp((((-0.0209862142801285) * x1) * (38.7934265136718750 * x1)))) - exp((exp((-2.6416935920715332)) + ((0.0101619474589825 * x0) * ((-75.6802444458007812) * x0))))))),(5.9260418638587e-3) + ((0.996351420879364) * ((((1.9877398014068604) + (((-1.002324727539394) * ((x1) * (x1))) * (exp(((x1) * (x1)) * (-2.9640713443683393))))) - (exp(((x1) * (x1)) * (-0.8141271614763362)))) - (exp((7.124051495942774e-2) + ((-0.7690586677411797) * ((x0) * (x0))))))),141,42.0,12.0,34.0,8.0,40.0,11.0,28.0,7.0,12.0,7.0 -pagie,142,Operon,Operon,23,1,kept,(0.0007810645620339 + (0.9995014071464539 * (((((-1.0057448148727417) + ((0.7655488848686218 * x0) * ((-1.5458080768585205) * x0))) * exp(((0.4586827158927917 * x0) * ((-3.1686115264892578) * x0)))) + (2.9749636650085449 + exp(((-0.3110347986221313) + ((3.0109248161315918 * x1) * ((-1.1550782918930054) * x1)))))) - exp(exp(((23.0867309570312500 * x1) * ((-0.0377156287431717) * x1))))))),(7.810645620339e-4) + ((0.9995014071464539) * (((((-1.0057448148727417) + ((-1.1833916494599492) * ((x0) * (x0)))) * (exp(((x0) * (x0)) * (-1.4533873405792972)))) + ((2.974963665008545) + (exp((-0.3110347986221313) + ((-3.4778538936355403) * ((x1) * (x1))))))) - (exp(exp(((x1) * (x1)) * (-0.8707305736688796)))))),142,45.0,13.0,37.0,9.0,52.0,14.0,31.0,8.0,13.0,8.0 -pagie,143,Operon,Operon,24,1,kept,(0.0049892361275852 + (0.9968150258064270 * (exp(((-0.7375680804252625) / (exp((((-7.8003888130187988) * x1) * ((-0.0912654846906662) * x1))) - 0.9434194564819336))) - (exp(((((-11.2235412597656250) * x0) * (0.0819300860166550 * x0)) - (exp(((((-56.8530616760253906) * x0) * (0.1006406396627426 * x0)) - 1.4147840738296509)) - 0.2206120193004608))) - 0.9837305545806885)))),(0.996815025806427) * (((exp((-0.7375680804252625) / ((exp((0.7119062657958111) * ((x1) * (x1)))) + (-0.9434194564819336)))) - (exp(((-0.919545700824074) * ((x0) * (x0))) - ((exp((((x0) * (x0)) * (-5.721728493860552)) + (-1.4147840738296509))) + (-0.2206120193004608))))) + (0.9887357320694095)),143,41.0,13.0,33.0,9.0,41.0,13.0,30.0,9.0,13.0,9.0 -pagie,144,Operon,Operon,25,1,kept,((-0.0000055456266637) + (1.0000027418136597 * ((((exp((((-4.2250251770019531) * x1) * (1.4258037805557251 * x1))) + exp((((-1.1716369390487671) * x0) * (5.2204809188842773 * x0)))) * 0.2746707499027252) - (-1.9792732000350952)) - ((exp((((-1.7990413904190063) * x1) * (0.5140095949172974 * x1))) + exp(((1.8088867664337158 * x0) * ((-0.5105684995651245) * x0)))) * 1.2522673606872559)))),(1.252270794171011) * (((((exp((-6.024056870312506) * ((x1) * (x1)))) + (exp((-6.11650828416407) * ((x0) * (x0))))) * (0.21933874388611657)) - ((exp(((x1) * (x1)) * (-0.9247245363287249))) + (exp(((x0) * (x0)) * (-0.9235606022212721))))) + (1.580547187093814)),144,45.0,13.0,33.0,7.0,45.0,13.0,29.0,7.0,13.0,7.0 -pagie,145,Operon,Operon,26,1,kept,((-0.0001599656243343) + (1.0001020431518555 * ((exp(((25.9337768554687500 * x1) * ((-0.1575351804494858) * x1))) - (exp(exp(exp(((17.7164573669433594 * x1) * ((-0.0314616635441780) * x1))))) * 0.1594999134540558)) - ((-1.1739871501922607) - (exp((exp((((-0.3572374880313873) * x0) * (3.2828271389007568 * x0))) * (-1.7236351966857910))) * 1.2407730817794800))))),(1.0001020431518555) * (((exp((exp((-1.1727489207421724) * ((x0) * (x0)))) * (-1.723635196685791))) * (1.24077308177948)) + (((exp((-4.085482216662968) * ((x1) * (x1)))) - ((exp(exp(exp(((x1) * (x1)) * (-0.5573892208735457))))) * (0.1594999134540558))) + (1.173827200889657))),145,41.0,12.0,33.0,8.0,43.0,13.0,30.0,8.0,12.0,8.0 -pagie,146,Operon,Operon,27,1,kept,((-0.0639297738671303) + (1.0392827987670898 * ((1.9780735969543457 + ((exp((((-2.4385366439819336) * x1) * (2.2576689720153809 * x1))) * ((((-10.0973072052001953) * x1) * (391.6708374023437500 * x1)) * (((-0.0011133030056953) * x1) * ((-1.3449389934539795) * x1)))) - exp((((-1.7093311548233032) * x1) * (0.4650919437408447 * x1))))) - exp((((-1.2320897579193115) * x0) * (0.5889392495155334 * x0)))))),(-6.39297738671303e-2) + ((1.0392827987670898) * (((1.9780735969543457) + (((exp((-5.505408518240529) * ((x1) * (x1)))) * ((-5.921650519847204) * (((x1) * (x1)) * ((x1) * (x1))))) - (exp(((x1) * (x1)) * (-0.7949961492935529))))) - (exp((-0.7256260173647746) * ((x0) * (x0)))))),146,48.0,13.0,36.0,7.0,40.0,11.0,26.0,6.0,13.0,6.0 -pagie,147,Operon,Operon,28,1,kept,((-0.0000072608104347) + (1.0000052452087402 * (((-1.2524669170379639) * (exp((((-0.8438813686370850) * x0) * (1.0945762395858765 * x0))) + (exp((((-0.6344506740570068) * x1) * (1.4577195644378662 * x1))) + (-1.5802922248840332)))) + (0.2748360037803650 * (exp(((19.0184898376464844 * x0) * 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(x0))))),153,10.0,3.0,10.0,3.0,14.0,4.0,11.0,3.0,3.0,3.0 -pagie,154,SBP,SBP,5,1,kept,0.018176+0.001712*((((((-8.935000*x0)+18.954000)*((x0*(x0-5.120000))*(x0-4.881000)))+x1)-((x1*18.328000)*(x1-4.881000)))),(1.8176e-2) + ((1.712e-3) * (((((18.954) - ((8.935) * (x0))) * (((x0) * ((x0) - (5.12))) * ((x0) - (4.881)))) + (x1)) - (((x1) * (18.328)) * ((x1) - (4.881))))),154,31.0,9.0,29.0,8.0,33.0,10.0,25.0,7.0,8.0,7.0 -pagie,155,SBP,SBP,6,1,kept,0.012711-0.000000*((x1-(((16.817000*((16.817000*x1)-exp(x1)))-exp(x1))*exp(((19.315000-x0)*(17.099000+x0)))))),1.2711e-2,155,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,6.0,1.0 -pagie,156,SBP,SBP,7,1,kept,0.112902-0.007452*(((((x0*(x1*x0))+((((x0-x1)+x0)*x0)+(x1*(-20.819000))))-(x0-exp(x1)))+x1)),(7.452e-3) * ((x0) + (((15.150563607085346) + (((x1) * (19.819)) - (exp(x1)))) - ((x0) * (((x0) * (x1)) + ((x0) + ((x0) - (x1))))))),156,28.0,3.0,24.0,3.0,34.0,8.0,25.0,4.0,3.0,3.0 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((0.5717467226489543) * (log(abs(((-1.4718669975763585) + ((-14.792753236262874) * (x1))) + (exp(x1))))))) * (((exp(x0)) + ((x0) * (-2.0678277294438554)))^(-1))),1,51.0,11.0,24.0,5.0,27.0,7.0,23.0,5.0,11.0,8.0 -kotanchek,2,Bingo,Bingo,3,1,kept,-0.01768299095097286 + (-0.002127834025158428)*(((x0)*(x0))*((-120.62183607997726 + (375.5222524620757)*((x1)*(-4.734655034994491 + x1)))*((exp((2)*(x0)))^(-1)))),(-1.768299095097286e-2) + ((-0.799049025992938) * ((((x0) * (x0)) * ((exp((x0) * (2.0)))^(-1))) * (((x1) * ((x1) + (-4.734655034994491))) + (-0.3212108877413568)))),2,24.0,6.0,21.0,5.0,29.0,8.0,24.0,6.0,6.0,5.0 -kotanchek,3,Bingo,Bingo,4,1,kept,(-0.03144312866911644)*(-3.0969157782045578 + (-31.196859437348742)*((-0.044758903858526766)*(x0) + ((x0)*(x0))*((exp((x0)*(x0)))^(-1))) - (x1)),(-3.144312866911644e-2) * (((-3.0969157782045578) + ((-31.196859437348742) * ((x0) * ((-4.4758903858526766e-2) + ((x0) * ((exp((x0) * (x0)))^(-1))))))) - (x1)),3,22.0,4.0,19.0,4.0,22.0,5.0,20.0,5.0,4.0,4.0 -kotanchek,4,Bingo,Bingo,5,1,kept,-0.00021014784984354508 + (-79102.81028278018 + (9.442859863771085)*(8377.090142621715 + (x1)*(4.739077949578231 - (x1))))*((1.3508252037586896e-06)*(x0) + (0.004486719103561921)*(exp((2)*(x0) - ((x0)*(x0))))),(-2.1014784984354508e-4) + ((((x1) * ((4.739077949578231) - (x1))) + (9.29803245489893e-2)) * (((x0) + ((exp(((x0) * (2.0)) - ((x0) * (x0)))) * (3321.465346573016))) * (1.275565309954333e-5))),4,28.0,8.0,24.0,6.0,40.0,10.0,36.0,8.0,7.0,5.0 -kotanchek,5,Bingo,Bingo,6,1,kept,(x0)*((-0.708264064344585 + (0.22602214542380888)*(x0))*(-0.708264064344585 + (0.22602214542380888)*(x0))) + ((0.3286374849396323)*((x0 - ((x0)*(x0)))*(x1)) + (x1)*(x1))*(0.07900418526719069 + (-0.004875727623836811)*((x1)*(x1))),((x0) * ((5.1086010221981414e-2) * (((x0) + (-3.1336047315918334)) * ((x0) + (-3.1336047315918334))))) + ((x1) * (((7.900418526719069e-2) + (((x1) * (x1)) * (-4.875727623836811e-3))) * ((x1) + ((0.3286374849396323) * ((x0) - ((x0) * (x0))))))),5,35.0,7.0,31.0,6.0,33.0,8.0,29.0,7.0,7.0,5.0 -kotanchek,6,Bingo,Bingo,7,0,missing_rank,(0.02373272556048897)*(x1) + (0.31519150907418003)*((3.536500867539311 - (x0))*(((exp(x0 - (plog(x0))) - (exp((-0.8913829801942106)*((x1)^(-1)))))^(-1))*((x0 - (plog(x0)))^(-1)))),((2.373272556048897e-2) * (x1)) + ((0.31519150907418003) * (((3.536500867539311) - (x0)) * ((((exp((x0) - (log(abs(x0))))) - (exp((-0.8913829801942106) * ((x1)^(-1)))))^(-1)) * (((x0) - (log(abs(x0))))^(-1))))),6,33.0,4.0,30.0,4.0,27.0,5.0,25.0,4.0,, -kotanchek,7,Bingo,Bingo,8,1,kept,(0.11720391936222797)*((x1)*((0.6931234338478329 + (x0)*(6.4849819024041455 + (-0.6667403548542734)*((-1.3864562418418644 + x1)*(-1.3864562418418644 + x1)) - (x0)))*((exp(x0))^(-1)))),(0.11720391936222797) * ((x1) * (((0.6931234338478329) + ((x0) * (((6.4849819024041455) + ((-0.6667403548542734) * (((x1) + (-1.3864562418418644)) * ((x1) + (-1.3864562418418644))))) - (x0)))) * ((exp(x0))^(-1)))),7,26.0,6.0,25.0,6.0,28.0,8.0,25.0,7.0,6.0,5.0 -kotanchek,8,Bingo,Bingo,9,1,kept,(exp(x0))*((3.396536372521252 + ((0.4137631538437465 + x1)^(-1))*(((exp(x0))^(-1))*(exp(exp(x0)))))^(-1)),(exp(x0)) * (((3.396536372521252) + ((((0.4137631538437465) + (x1))^(-1)) * (((exp(x0))^(-1)) * (exp(exp(x0))))))^(-1)),8,21.0,2.0,18.0,2.0,21.0,4.0,21.0,4.0,2.0,2.0 -kotanchek,9,Bingo,Bingo,10,1,kept,(0.03943336488999562)*((x1)*(((x0)*(x0) + x1)*((0.12426947579595604 + (0.046906498950706255)*(x1 + (4)*((x1)*(x1)) + exp((x0)*(x0))) - (plog(x1)))^(-1)))),(3.943336488999562e-2) * ((x1) * (((x1) + ((x0) * (x0))) * ((((0.12426947579595604) + ((4.6906498950706255e-2) * (((x1) + ((4.0) * ((x1) * (x1)))) + (exp((x0) * (x0)))))) - (log(abs(x1))))^(-1)))),9,32.0,4.0,31.0,4.0,32.0,5.0,27.0,4.0,3.0,3.0 -kotanchek,10,Bingo,Bingo,11,1,kept,0.2306440753250631 + (0.03139967317000205)*(x1) + (-1.1634241022901022 + (exp(exp(-1 + x0)))^(-1))*(1.2522488356336676 - (exp((x0)*((exp(exp(-1 + x0)))^(-1))))),((0.2306440753250631) + ((3.139967317000205e-2) * (x1))) + (((-1.1634241022901022) + ((exp(exp((-1.0) + (x0))))^(-1))) * ((1.2522488356336676) - (exp((x0) * ((exp(exp((-1.0) + (x0))))^(-1)))))),10,28.0,6.0,26.0,6.0,42.0,11.0,42.0,11.0,4.0,4.0 -kotanchek,11,Bingo,Bingo,12,1,kept,(-0.04106910574307527)*(78.09907550417113 + x0 + (1.0611956406287764)*((x1)*(-4.735723943783631 + x1))) + (0.00822065460724008 + (x0)*(x0))*((exp((x0)*(x0)))^(-1)) - (plog(-0.04106910574307527)),(((8.22065460724008e-3) + ((x0) * (x0))) * ((exp((x0) * (x0)))^(-1))) + ((-4.106910574307527e-2) * ((x0) + (((1.0611956406287764) * ((x1) * ((x1) + (-4.735723943783631)))) + (0.36426566457643617)))),11,30.0,6.0,25.0,5.0,31.0,6.0,28.0,6.0,6.0,5.0 -kotanchek,12,Bingo,Bingo,13,1,kept,((69920813446.957 + (3837.522818140268)*((-6411.945978052463 + (5614.613323813786)*(x0))*(-6411.945978052463 + (5614.613323813786)*(x0))))^(-1))*(32356483533.402588 + (-10343913179.625605)*(x0) + (5885307060.08351)*(x1)),(((6.9920813446957e10) + (((x0) + (-1.142010252221088)) * (((x0) + (-1.142010252221088)) * (1.209736194690767e11))))^(-1)) * (((3.2356483533402573e10) + ((x0) * (-1.0343913179625605e10))) + ((5.885307060083509e9) * (x1))),12,27.0,9.0,22.0,7.0,23.0,8.0,18.0,6.0,9.0,5.0 -kotanchek,13,Bingo,Bingo,14,1,kept,(-0.008870475378536939 + (-0.0506336679649604)*(x1))*(((x0 + (-0.3460574947000204)*(1.0326587094648079 + exp(x0)))^(-1))*(plog(-9.541496629390634 + (2)*(x1)))),((-8.870475378536939e-3) + ((-5.06336679649604e-2) * (x1))) * ((((x0) + ((-0.3460574947000204) * ((1.0326587094648079) + (exp(x0)))))^(-1)) * (log(abs((-9.541496629390634) + ((x1) * (2.0)))))),13,24.0,6.0,23.0,6.0,24.0,7.0,22.0,6.0,5.0,5.0 -kotanchek,14,Bingo,Bingo,15,1,kept,-0.009079799107138235 + (0.973619601464109)*((-1.1573239810414302 + (x1)^(-2) + exp(x0) + (-2)*(plog(x0)))^(-1)),(-9.079799107138235e-3) + ((0.973619601464109) * (((((-1.1573239810414302) + ((x1)^(-2))) + (exp(x0))) + ((-2.0) * (log(abs(x0)))))^(-1))),14,20.0,4.0,18.0,4.0,18.0,4.0,17.0,4.0,3.0,3.0 -kotanchek,15,Bingo,Bingo,16,1,kept,-5.9611827480310925e-05 + (-8.813638500217107e-05)*((-119.17342611160666 + (1306.8992589231564)*((x1)*(-4.739082076972427 + x1)))*((exp((-1 + x0)*(-1 + x0)))^(-1))),(-5.9611827480310925e-5) + ((((x1) * ((x1) + (-4.739082076972427))) + (-9.118792079643674e-2)) * (((exp(((-1.0) + (x0)) * ((-1.0) + (x0))))^(-1)) * (-0.11518537624350336))),15,24.0,7.0,21.0,6.0,29.0,8.0,25.0,7.0,5.0,4.0 -kotanchek,16,Bingo,Bingo,17,1,kept,(0.681112641117685)*(((exp(x0))*(x0 - (exp(x0))))*((-0.601686750816862 + (0.0635052950716775)*((-0.17402614857984516 + x1)*((exp(x0))*(x0 - (exp(x0))))) - (x0))*((exp(exp(x0)))^(-1)))),(0.681112641117685) * (((exp(x0)) * ((x0) - (exp(x0)))) * ((((-0.601686750816862) + ((6.35052950716775e-2) * (((exp(x0)) * ((x0) - (exp(x0)))) * ((-0.17402614857984516) + (x1))))) - (x0)) * ((exp(exp(x0)))^(-1)))),16,33.0,4.0,32.0,4.0,32.0,5.0,30.0,4.0,4.0,4.0 -kotanchek,17,Bingo,Bingo,18,0,missing_rank,(0.6342565001176109 + (x0)*(exp(x0) - (x0)))*(((1.9932377603672047)*((x1)^(-2)) + (exp(x0))*((exp(exp(x0) - (x0)))^(-1)) + (0.5982795866023631)*(exp(exp(x0) - (x0))))^(-1)),((0.6342565001176109) + ((x0) * ((exp(x0)) - (x0)))) * (((((1.9932377603672047) * ((x1)^(-2))) + ((exp(x0)) * ((exp((exp(x0)) - (x0)))^(-1)))) + ((exp((exp(x0)) - (x0))) * (0.5982795866023631)))^(-1)),17,35.0,3.0,32.0,3.0,48.0,6.0,40.0,5.0,, -kotanchek,18,Bingo,Bingo,19,1,kept,(0.004874455021822982)*((0.6623280966084486 + x1)*(9.896181203737148 + (10.524866972388967 + x0)*((exp((x0)*(-1 + x0) - (x0)))^(-1)) - ((x1)*(x1)))),(4.874455021822982e-3) * (((0.6623280966084486) + (x1)) * (((9.896181203737148) + (((10.524866972388967) + (x0)) * ((exp(((x0) * ((x0) + (-1.0))) - (x0)))^(-1)))) - ((x1) * (x1)))),18,26.0,5.0,25.0,5.0,29.0,6.0,28.0,6.0,4.0,4.0 -kotanchek,19,Bingo,Bingo,20,1,kept,(-0.03309619870833754)*(-3.819150332778322 + x0 + (0.03907279509253594 + (x0)*(x0))*((-15.272972634101004 + (-7.53747357012547)*(x1))*((exp((x0)*(x0)))^(-1)))),(-3.309619870833754e-2) * (((-3.819150332778322) + (x0)) + (((3.907279509253594e-2) + ((x0) * (x0))) * (((-15.272972634101004) + ((-7.53747357012547) * (x1))) * ((exp((x0) * (x0)))^(-1))))),19,24.0,5.0,23.0,5.0,31.0,7.0,26.0,6.0,5.0,5.0 -kotanchek,20,Bingo,Bingo,21,1,kept,((2)*(0.17850583364543127))*((x0 + exp(x0))*((((-1)*(0.17850583364543127))*((x0)*(exp(x0))) + exp(((2)*(0.17850583364543127))*(x0 + exp(x0))) - (plog(((2)*(0.17850583364543127))*(x0 + exp(x0)))))^(-1))),(0.35701166729086253) * (((x0) + (exp(x0))) * (((((-0.17850583364543127) * ((x0) * (exp(x0)))) + (exp((0.35701166729086253) * ((x0) + (exp(x0)))))) - (log(abs((0.35701166729086253) * ((x0) + (exp(x0)))))))^(-1))),20,32.0,4.0,31.0,4.0,34.0,6.0,30.0,4.0,4.0,4.0 -kotanchek,21,Bingo,Bingo,22,1,kept,(0.6877488188414488)*(exp((2)*(x0) - ((x0)*(x0) + (-0.8494111690013563 - (x1))*((-0.2000198424296049 - (x1))^(-1))))),(0.6877488188414488) * (exp(((2.0) * (x0)) - (((x0) * (x0)) + (((-0.8494111690013563) - (x1)) * (((-0.2000198424296049) - (x1))^(-1)))))),21,20.0,4.0,19.0,4.0,24.0,7.0,20.0,5.0,3.0,3.0 -kotanchek,22,Bingo,Bingo,23,1,kept,(2.5131784365055503)*(((exp(x0))^(-1))*(20.83283257582063 + x0 + (0.029475689425325854)*(x1) + (-0.6569808069960112)*((5.186033678881531 - (x0))*(5.714201897136322 + x0 + ((2.5131784365055503)^(-1))*(exp(x0)))))),(2.5131784365055503) * (((exp(x0))^(-1)) * ((((x0) + (20.83283257582062)) + ((2.9475689425325854e-2) * (x1))) + ((-0.6569808069960112) * (((5.186033678881531) - (x0)) * (((x0) + (5.714201897136322)) + ((exp(x0)) * (0.3979025068313296))))))),22,29.0,7.0,28.0,7.0,29.0,8.0,29.0,8.0,7.0,6.0 -kotanchek,23,Bingo,Bingo,24,1,kept,0.006514843839523813 + (0.012790360845057828 + (-0.13720269441638683)*((x0 + (x0)*(x0))*(2.4024045089083383 + x1)))*((-1.5068813313136211 + (-0.32506758388128154)*(exp((x0)*(x0))) - ((x0)*(x0)))^(-1)) + exp(-1.5068813313136211 + (-0.32506758388128154)*(exp((x0)*(x0)))),((6.514843839523813e-3) + (((1.2790360845057828e-2) + ((-0.13720269441638683) * (((x0) + ((x0) * (x0))) * ((2.4024045089083383) + (x1))))) * ((((-1.5068813313136211) + ((-0.32506758388128154) * (exp((x0) * (x0))))) - ((x0) * (x0)))^(-1)))) + (exp((-1.5068813313136211) + ((-0.32506758388128154) * (exp((x0) * (x0)))))),23,40.0,8.0,39.0,8.0,40.0,9.0,34.0,8.0,8.0,8.0 -kotanchek,24,Bingo,Bingo,25,1,kept,0.042926148212222445 + (0.038206703422840375)*(((x0)*(5.566396182362499 + x0))*((0.011789883601234424 + x1)*((4.1139823128908555 + (x0)*(x0) - (x1))*((exp((x0)*(x0)))^(-1))))),(4.2926148212222445e-2) + ((3.8206703422840375e-2) * (((x0) * ((x0) + (5.566396182362499))) * (((1.1789883601234424e-2) + (x1)) * ((((4.1139823128908555) + ((x0) * (x0))) - (x1)) * ((exp((x0) * (x0)))^(-1)))))),24,28.0,5.0,27.0,5.0,33.0,6.0,30.0,6.0,5.0,5.0 -kotanchek,25,Bingo,Bingo,26,1,kept,0.2497806421525048 + (-0.6964203985908678 + (2)*(((exp(x0))^(-1))*(plog(x0 + exp(x0)))))*(0.11848913269441189 + (0.13470217521610287 + (0.5185123293134022)*(x0))*(-0.0008622481242864235 + (2)*(((exp(x0))^(-1))*(plog(x0 + exp(x0)))))),(0.2497806421525048) + (((((x0) + (0.25978586737652176)) * ((((exp(x0))^(-1)) * (log(abs((x0) + (exp(x0)))))) + (-4.3112406214321176e-4))) + (0.11425874178470499)) * (((((exp(x0))^(-1)) * (log(abs((x0) + (exp(x0)))))) + (-0.3482101992954339)) * (2.0740493172536087))),25,41.0,8.0,35.0,6.0,52.0,11.0,46.0,8.0,6.0,6.0 -kotanchek,26,Bingo,Bingo,27,1,kept,(-1.9305547847352778)*(((10.665734721501936 + ((x0)*((x0)*(x0)))*((x0)*((x0)*(x0))) + (2.057897964881403)*(x1) - (x0))^(-1))*(0.20556825888097427 + (-2.9052829962789213)*(x0) + exp(plog(x0)) - (x1))),(-1.9305547847352778) * ((((((10.665734721501936) + (((x0) * ((x0) * (x0))) * ((x0) * ((x0) * (x0))))) + ((2.057897964881403) * (x1))) - (x0))^(-1)) * ((((0.20556825888097427) + ((x0) * (-2.9052829962789213))) + (abs(x0))) - (x1))),26,36.0,5.0,33.0,5.0,21.0,5.0,20.0,5.0,5.0,5.0 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-kotanchek,115,GOMEA,GOMEA,26,1,kept,-0.002850-0.007989*((exp(((x0+x0)-(x0*x0)))*((0.141000+exp(x1))-((5.595000-x1)+(x1*16.435000))))),(-2.85e-3) + (((7.989e-3) * (exp(((x0) + (x0)) - ((x0) * (x0))))) * ((5.454) + (((x1) * (15.434999999999999)) - (exp(x1))))),115,25.0,5.0,21.0,4.0,26.0,6.0,26.0,6.0,5.0,4.0 -kotanchek,116,GOMEA,GOMEA,27,1,kept,0.013200-0.015123*(((((-5.053000*x1)*(5.158000-x1))*(exp(x0)*(x1*x1)))*exp(((x0-x1)-(x0*x0))))),(1.32e-2) - ((x1) * ((x1) * ((exp(((x0) - (x1)) - ((x0) * (x0)))) * ((exp(x0)) * ((x1) * (((5.158) - (x1)) * (-7.6416519e-2))))))),116,29.0,5.0,25.0,3.0,34.0,4.0,29.0,3.0,4.0,3.0 -kotanchek,117,GOMEA,GOMEA,28,1,kept,-0.002065-0.007572*((exp(((x0+x0)-(x0*x0)))*(((x1+2.326000)-(7.014000-x1))+(exp(x1)-(18.337000*x1))))),(-2.065e-3) - ((7.572e-3) * ((exp(((x0) + (x0)) - ((x0) * (x0)))) * (((-4.688000000000001) - ((x1) * (17.337))) + ((x1) + (exp(x1)))))),117,27.0,5.0,23.0,4.0,26.0,6.0,26.0,6.0,5.0,4.0 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x1)) + ((-83.5919265747070312) - ((-39.5477447509765625) * x1))) / exp(((0.0681112110614777 * x0) * (14.6775512695312500 * x0)))))))),(-6.445771578e-5) + ((((x1) * (((x1) * (x1)) + (0.2513057822290573))) + (0.5279611222045847)) * (((exp((1.9995476007461548) * (x0))) * (((17.63513831255143) + ((x1) * ((x1) + (-8.343269227198043)))) / (exp((0.999705792384703) * ((x0) * (x0)))))) * (5.728173365985096e-3))),120,49.0,14.0,33.0,8.0,48.0,12.0,38.0,9.0,14.0,8.0 -kotanchek,121,Operon,Operon,2,1,kept,(0.0019190539605916 + (0.9954085946083069 * ((exp((3.0602750778198242 * x0)) / exp(((exp(((0.4211926460266113 * x0) + 1.6726008653640747)) - ((1.3422309160232544 * x1) - exp(((-1.2979059219360352) * x0)))) + ((0.0003775433578994 * x1) * (1131.5198974609375000 * x1))))) * ((((-0.0027062874287367) * x1) * ((-6793.8808593750000000) * x1)) + (((-24.5153598785400391) * x1) - (-29.1849021911621094)))))),(1.9190539605916e-3) + (((((x1) * ((x1) + (-1.3333569413975992))) + (1.5873269702501887)) * ((exp((3.060275077819824) * (x0))) * (18.301775890134763))) / (exp(((exp(((x0) * (0.4211926460266113)) + (1.6726008653640747))) + (exp((x0) * (-1.2979059219360352)))) + ((x1) * (((x1) * (0.4271978216173871)) + (-1.3422309160232544)))))),121,47.0,13.0,37.0,10.0,51.0,14.0,45.0,12.0,13.0,10.0 -kotanchek,122,Operon,Operon,3,1,kept,((-0.0000014371197494) + (1.0000287294387817 * ((((((0.0082893725484610 * x1) - (-0.0444908216595650)) / exp(log((exp((0.3769945502281189 * x1)) + ((-0.9402246475219727) * x1))))) - (exp((0.0002179348812206 * x1)) + (-1.0048899650573730))) / exp(((0.3332124650478363 * x0) * (3.0010888576507568 * x0)))) / exp(((-2.0000004768371582) * x0))))),(-1.4371197494e-6) + ((1.0000287294387817) * (((((((8.289372548461e-3) * (x1)) - (-4.4490821659565e-2)) / ((exp((x1) * (0.3769945502281189))) + ((x1) * (-0.9402246475219727)))) - ((exp((x1) * (2.179348812206e-4))) + (-1.004889965057373))) / (exp((1.0000002160854038) * ((x0) * (x0))))) / (exp((x0) * (-2.000000476837158))))),122,41.0,11.0,37.0,10.0,66.0,17.0,60.0,15.0,11.0,10.0 -kotanchek,123,Operon,Operon,4,1,kept,(0.0000182324292837 + (0.9999566078186035 * ((((exp(((-1.0928704738616943) * x0)) + (2.6822447776794434 * x0)) / (7.4495120048522949 - ((((-3.5652680397033691) * x1) - (-17.8263320922851562)) * (0.2804658412933350 * x1)))) / (exp(exp((0.5965437889099121 * x0))) + ((-1.4266524314880371) * x0))) / (exp((0.4577265381813049 * x0)) + ((-0.9410613179206848) * x0))))),(1.82324292837e-5) + (((exp((-1.0928704738616943) * (x0))) + ((x0) * (2.6822447776794434))) * ((((-1.0000207089543989) / ((-7.449989547754554) - ((x1) * ((x1) - (4.999997726333168))))) / ((exp(exp((x0) * (0.5965437889099121)))) + ((x0) * (-1.426652431488037)))) / ((exp((x0) * (0.4577265381813049))) + ((x0) * (-0.9410613179206848))))),123,43.0,12.0,39.0,10.0,45.0,13.0,39.0,10.0,12.0,10.0 -kotanchek,124,Operon,Operon,5,1,kept,(0.0000468041762360 + (0.9997506737709045 * (exp(((-0.0447766110301018) * x0)) - (0.8708053827285767 + ((((4.6947760581970215 * x1) - exp((0.6812457442283630 * x1))) * ((-2.2019169330596924) * x1)) * (((exp(((-5.3575110435485840) * x0)) + (15.1773414611816406 * x0)) * exp(((-2.3313734531402588) * x0))) * ((((-0.0015166908269748) * x1) * (4.4051661491394043 * x0)) - ((-0.0298569388687611) * x0)))))))),(0.9997506737709045) * (((exp((-4.47766110301018e-2) * (x0))) - (((x0) * ((x1) + (-4.468748624763382))) * (((x1) * ((((x1) * (4.6947760581970215)) - (exp((x1) * (0.681245744228363)))) * (((exp((x0) * (-5.357511043548584))) + ((x0) * (15.17734146118164))) * (exp((x0) * (-2.331373453140259)))))) * (1.471161275443955e-2)))) + (-0.8707585668799217)),124,49.0,13.0,41.0,10.0,59.0,16.0,53.0,13.0,13.0,10.0 -kotanchek,125,Operon,Operon,6,1,kept,(0.0015015223762020 + (0.9966979622840881 * ((exp(1.7057397365570068) + ((2.2468583583831787 * x1) + (((2.7354996204376221 * x1) + ((-5.6414661407470703) * exp((0.1865983307361603 * x1)))) / exp(((-0.6834985017776489) * x1))))) * (((0.0036516967229545 * x1) - exp((1.9130901098251343 * x0))) / (exp(exp((0.7873576283454895 * x0))) + ((-2.2153601646423340) * x0)))))),(1.501522376202e-3) + ((((((x1) + ((exp((x1) * (0.1865983307361603))) * (-2.062316550365507))) / (exp((x1) * (-0.6834985017776489)))) + ((x1) * (0.8213703784114321))) + (2.0125964221487602)) * (((((x1) * (3.6516967229545e-3)) - (exp((1.9130901098251343) * (x0)))) / ((exp(exp((x0) * (0.7873576283454895)))) + ((x0) * (-2.215360164642334)))) * (2.7264668975190745))),125,44.0,12.0,42.0,11.0,54.0,14.0,52.0,13.0,12.0,11.0 -kotanchek,126,Operon,Operon,7,1,kept,((-0.0000124719463201) + (0.9946426749229431 * (exp(((exp(exp(((1.1653105020523071 * x1) - exp((0.4197142422199249 * x1))))) - ((0.9311969876289368 * x0) * (1.0738922357559204 * x0))) - (((-1.9999958276748657) * x0) - (-5.5033035278320312)))) * (exp((0.2837287485599518 * x1)) - ((-2.8964312076568604) - (((-0.2071333527565002) * x1) - exp(((-0.6339063644409180) * x1)))))))),(-1.24719463201e-5) + ((0.9946426749229431) * ((exp((exp(exp(((1.1653105020523071) * (x1)) - (exp((x1) * (0.4197142422199249)))))) + ((-5.503303527832031) + ((x0) * ((1.9999958276748657) + ((x0) * (-1.000005214974017))))))) * ((exp((x1) * (0.2837287485599518))) - ((-2.8964312076568604) - (((x1) * (-0.2071333527565002)) - (exp((x1) * (-0.633906364440918)))))))),126,45.0,12.0,41.0,11.0,59.0,16.0,52.0,13.0,12.0,10.0 -kotanchek,127,Operon,Operon,8,1,kept,((-0.0148077905178070) + (1.0382655858993530 * (((((0.0000003963598942 * x0) * (1793.5753173828125000 * x0)) + (0.0000325083929056 * x1)) * ((((68.1199569702148438 * x0) + 50.2617149353027344) + ((0.1230096146464348 * x1) * (355.7100830078125000 * x0))) * (exp(((-2.7948594093322754) * x0)) * (exp(((-3.0556442737579346) * x1)) + (2.6853957176208496 * x1))))) * (((-5.3364686965942383) * x1) + 22.9583053588867188)))),(-1.4807790517807e-2) + (((50.26171493530273) + ((x0) * ((68.11995697021484) + ((x1) * (43.75576023664235))))) * (((exp((x0) * (-2.7948594093322754))) * ((exp((x1) * (-3.0556442737579346))) + ((x1) * (2.6853957176208496)))) * ((((x1) + (-4.302153102395002)) * ((x1) + (((x0) * (x0)) * (21.86823953746175)))) * (-1.80118335767207e-4)))),127,49.0,14.0,39.0,10.0,64.0,18.0,51.0,13.0,14.0,9.0 -kotanchek,128,Operon,Operon,9,1,kept,(0.0000034507245346 + (0.9999927282333374 * exp(((((2.4630110263824463 * x0) * (((-0.4060201048851013) * x0) + 0.8120366930961609)) - ((((-0.8767948746681213) * x1) / (((-0.3692416250705719) * x1) + exp((0.4968747496604919 * x1)))) + (0.7100588083267212 * x1))) - exp(((1.4052648544311523 - exp((0.1799458712339401 * x1))) * exp(exp((0.2937204837799072 * x1))))))))),(3.4507245346e-6) + ((0.9999927282333374) * (exp((((-1.000031995264962) * ((x0) * ((x0) + (-1.9999913386701804)))) - ((x1) * ((0.7100588083267212) + ((-0.8767948746681213) / (((x1) * (-0.3692416250705719)) + (exp((x1) * (0.4968747496604919)))))))) - (exp(((1.4052648544311523) - (exp((x1) * (0.1799458712339401)))) * (exp(exp((x1) * (0.2937204837799072))))))))),128,45.0,12.0,41.0,11.0,49.0,14.0,41.0,11.0,12.0,11.0 -kotanchek,129,Operon,Operon,10,1,kept,((-0.0019379730802029) + (1.0046592950820923 * ((((996.6720581054687500 + ((-386.7166748046875000) * x0)) + exp((1.7618920803070068 * x0))) - (((1074.8041992187500000 * x0) + 882.8044433593750000) * exp(((-1.9537824392318726) * x0)))) / (((((-15.7029571533203125) * x1) * ((-22.8576602935791016) * x1)) + 2638.8918457031250000) + (exp((2.8161077499389648 * x0)) - (1794.9840087890625000 * x1)))))),(-1.9379730802029e-3) + ((1.0046592950820923) * (((((996.6720581054688) + ((-386.7166748046875) * (x0))) + (exp((x0) * (1.7618920803070068)))) - ((((x0) * (1074.80419921875)) + (882.804443359375)) * (exp((x0) * (-1.9537824392318726))))) / ((2638.891845703125) + ((exp((x0) * (2.816107749938965))) + ((x1) * ((358.9328602152236) * ((x1) + (-5.000890717313407)))))))),129,44.0,13.0,40.0,12.0,77.0,22.0,60.0,16.0,13.0,12.0 -kotanchek,130,Operon,Operon,11,1,kept,(0.0006644097738899 + (0.9983761310577393 * ((((exp((0.3564732372760773 * x1)) * ((2.8750302791595459 * x1) + (-16.9938793182373047))) + (8.4957685470581055 + 8.5495948791503906)) + (3.2266986370086670 * x1)) / exp((((((-0.4841774106025696) * x0) + 0.9682721495628357) * ((-2.0647206306457520) * x0)) + ((0.0918822064995766 * x1) * ((3.7386786937713623 * x1) + (-3.2311415672302246)))))))),(6.644097738899e-4) + ((0.9983761310577393) * (((((exp((0.3564732372760773) * (x1))) * (((x1) * (2.875030279159546)) + (-16.993879318237305))) + (17.045363426208496)) + ((x1) * (3.226698637008667))) / (exp(((0.9996910885637647) * ((x0) * ((x0) + (-1.999829253408992)))) + ((0.34351804777666756) * ((x1) * ((x1) + (-0.8642469256888284)))))))),130,41.0,13.0,37.0,11.0,62.0,19.0,52.0,14.0,13.0,10.0 -kotanchek,131,Operon,Operon,12,1,kept,((-0.0007296766270883) + (1.0011714696884155 * (((((-796.1662597656250000) * x0) - (-3327.3220214843750000)) + ((((-416.2025756835937500) * x0) + 5066.6352539062500000) / ((1.3030259609222412 * x0) - exp((0.6703483462333679 * x0))))) / (((-34525.6953125000000000) - exp((2.9498600959777832 * x0))) - ((((-0.1925518661737442) * x0) + ((-19.2132587432861328) * x1)) * (((-239.9505157470703125) * x1) + 1202.1625976562500000)))))),(-7.296766270883e-4) + ((((x0) - (4.179179889466643)) + ((((x0) + (-12.173483658971914)) / (((x0) * (1.3030259609222412)) - (exp((x0) * (0.6703483462333679))))) * (0.522758369346266))) * ((-797.0989444058796) / (((-34525.6953125) - (exp((x0) * (2.949860095977783)))) + ((((x1) + (-5.010043816381869)) * ((x0) + ((x1) * (99.7822515308657)))) * (-46.20291959645079))))),131,45.0,14.0,41.0,12.0,45.0,14.0,41.0,12.0,14.0,12.0 -kotanchek,132,Operon,Operon,13,1,kept,(0.0036648171953857 + (0.9917431473731995 * (((0.7433260083198547 * x1) / ((exp(exp((0.5352578163146973 * x0))) * (exp((2.5961806774139404 * x1)) - (1.9263886213302612 - (297.5476074218750000 * x1)))) * exp(((-1.0667701959609985) * x1)))) / exp(((exp(((-0.1313982456922531) * x0)) * ((-6.9308919906616211) * x0)) - (((-4.3688435554504395) * x0) + 3.7469267845153809)))))),(3.6648171953857e-3) + (((x1) * ((0.7371884750154898) / (((exp(exp((0.5352578163146973) * (x0)))) * ((exp((x1) * (2.5961806774139404))) - ((1.9263886213302612) - ((x1) * (297.547607421875))))) * (exp((x1) * (-1.0667701959609985)))))) / (exp(((x0) * (((exp((x0) * (-0.1313982456922531))) * (-6.930891990661621)) + (4.3688435554504395))) + (-3.746926784515381)))),132,45.0,12.0,41.0,11.0,64.0,17.0,62.0,16.0,12.0,10.0 -kotanchek,133,Operon,Operon,14,1,kept,((-0.0022257824894041) + (1.0057435035705566 * (((exp(((((-0.7701046466827393) * x1) - (-3.8445262908935547)) * (1.3931946754455566 * x1))) + (((15.1122426986694336 * x1) - (-13.2947568893432617)) * (((-2.5437910556793213) * x1) - (-15.1461124420166016)))) / (exp((2.8625166416168213 * x0)) + (((-3.6063053607940674) * x0) + 62.3201675415039062))) * ((0.0344910286366940 * x0) + 0.0158514883369207)))),(-2.2257824894041e-3) + (((exp((-1.072905693294274) * ((x1) * ((x1) - (4.992212821275688))))) + ((-38.442387808130434) * (((x1) - (-0.87973420983464)) * ((x1) - (5.954149578520246))))) * ((3.4689127982821026e-2) * (((x0) + (0.4595829397809482)) / ((exp((x0) * (2.8625166416168213))) + (((x0) * (-3.6063053607940674)) + (62.320167541503906)))))),133,43.0,14.0,37.0,11.0,49.0,17.0,37.0,11.0,14.0,11.0 -kotanchek,134,Operon,Operon,15,1,kept,(0.0003700088418555 + (0.9992044568061829 * (((exp((0.1231540888547897 * x1)) * (((((-2.6712670326232910) * x0) - 1.5445685386657715) * ((1.0232990980148315 * x0) - exp(((-4.9796590805053711) * x0)))) - (((-10.8486871719360352) * x0) - 0.5861128568649292))) / (exp((2.4178924560546875 * x0)) - (-42.5792884826660156))) / (exp((0.3763327002525330 * x1)) - (0.9377985596656799 * x1))))),(3.700088418555e-4) + ((((x0) - (-5.402615519978467e-2)) + (((((x0) * (1.0232990980148315)) - (exp((x0) * (-4.979659080505371)))) * ((x0) - (-0.5782157005654891))) * (-0.24622951978313723))) * ((((exp((0.1231540888547897) * (x1))) / ((exp((x0) * (2.4178924560546875))) - (-42.579288482666016))) / ((exp((x1) * (0.376332700252533))) - ((x1) * (0.9377985596656799)))) * (10.84005657269455))),134,45.0,13.0,43.0,12.0,47.0,14.0,43.0,12.0,13.0,12.0 -kotanchek,135,Operon,Operon,16,1,kept,((-0.0158226937055588) + (1.0497971773147583 * (((exp(((-0.3585180342197418) * x1)) - ((((exp((1.7362647056579590 * x1)) - (-7144.3906250000000000)) + ((-3211.7934570312500000) * x1)) / (exp((3.3592488765716553 * x1)) - (-8749.7304687500000000))) - (-252.0166625976562500))) - (-251.8914642333984375)) / (exp((0.7833101749420166 * x0)) + log(exp(((-1.7847769260406494) * x0))))))),(-1.58226937055588e-2) + ((1.0497971773147583) * ((((exp((-0.3585180342197418) * (x1))) - ((((exp((x1) * (1.736264705657959))) - (-7144.390625)) + ((x1) * (-3211.79345703125))) / ((exp((x1) * (3.3592488765716553))) - (-8749.73046875)))) + (-0.1251983642578125)) / ((exp((0.7833101749420166) * (x0))) + ((x0) * (-1.7847769260406494))))),135,41.0,12.0,37.0,11.0,45.0,14.0,37.0,11.0,12.0,11.0 -kotanchek,136,Operon,Operon,17,1,kept,((-0.0000000143612136) + (1.0000000000000000 * (((0.0493797957897186 - (0.0001029339036904 * x0)) / (exp(((-0.0000001355219865) * x0)) + (((-0.0032123271375895) * x1) * (((-41.7853355407714844) * x1) + 208.9266815185546875)))) / exp((((-1.8152447938919067) * x0) * (1.1029279232025146 - (0.5508886575698853 * x0))))))),(-1.43612136e-8) + ((((4.93797957897186e-2) - ((1.029339036904e-4) * (x0))) / ((exp((x0) * (-1.355219865e-7))) + ((0.13422816731090328) * ((x1) * ((x1) + (-5.000000091292728)))))) / (exp((-0.9999977676678355) * ((x0) * ((2.0020886399582447) - (x0)))))),136,33.0,10.0,29.0,8.0,39.0,13.0,29.0,8.0,11.0,8.0 -kotanchek,137,Operon,Operon,18,1,kept,((-0.0000026597272154) + (1.0000067949295044 * ((exp(((1.3812974691390991 * x0) * (((-0.7240105271339417) * x0) + 1.4479488134384155))) * (((-0.0016091535799205) * x1) - (-0.0074326260946691))) * (exp((1.1061540842056274 * x1)) - ((((-4.3172826766967773) * x1) + (-5.3209042549133301)) - exp((((3.6427340507507324 * x1) - 0.0311711747199297) - exp((0.6457238197326660 * x1))))))))),(-2.6597272154e-6) + ((exp((-1.0000739087601787) * ((x0) * ((x0) + (-1.9999002212996078))))) * (((exp((x1) * (1.1061540842056274))) - ((((x1) * (-4.317282676696777)) + (-5.32090425491333)) - (exp((((x1) * (3.6427340507507324)) - (3.11711747199297e-2)) - (exp((x1) * (0.645723819732666))))))) * (((x1) - (4.618966261154704)) * (-1.6091645140056373e-3)))),137,43.0,13.0,39.0,11.0,58.0,18.0,48.0,13.0,13.0,11.0 -kotanchek,138,Operon,Operon,19,1,kept,(0.0034536698367447 + (0.9867714047431946 * ((((((-0.6941707730293274) * x1) + exp((0.2583339512348175 * x1))) * (((-0.6002479791641235) * x1) + exp((0.2208170741796494 * x1)))) * (exp(((-0.8911798000335693) * x0)) - (0.7564386129379272 + ((-1.2858601808547974) * x0)))) / exp(((((-2.1546506881713867) * x1) + exp((0.6885151863098145 * x0))) + exp(((-1.0648982524871826) * x0))))))),(3.4536698367447e-3) + ((0.9867714047431946) * ((((((-0.6941707730293274) * (x1)) + (exp((x1) * (0.2583339512348175)))) * (((x1) * (-0.6002479791641235)) + (exp((x1) * (0.2208170741796494))))) * ((exp((-0.8911798000335693) * (x0))) - ((0.7564386129379272) + ((x0) * (-1.2858601808547974))))) / (exp((((x1) * (-2.1546506881713867)) + (exp((x0) * (0.6885151863098145)))) + (exp((x0) * (-1.0648982524871826))))))),138,47.0,12.0,47.0,12.0,70.0,19.0,64.0,16.0,12.0,12.0 -kotanchek,139,Operon,Operon,20,1,kept,(0.0004888178664260 + (0.9988220334053040 * (exp((((((-5.1766362190246582) - (0.0070227989926934 * x0)) + (1.1790944337844849 * x1)) * ((-0.3277454376220703) * x1)) + (exp(((6.3319468498229980 * x1) * ((-0.0836486071348190) * x1))) * ((-1.0949771404266357) * x1)))) / (6.3024258613586426 / (0.0139735620468855 + exp(((2.2476174831390381 * x0) - exp((0.8711588978767395 * x0))))))))),(4.88817866426e-4) + ((0.998822033405304) * ((exp((x1) * (((((-737.1186651377163) - (x0)) + ((x1) * (167.89522738885566))) * (-2.301690329192133e-3)) + ((exp((-0.5296585344393987) * ((x1) * (x1)))) * (-1.0949771404266357))))) / ((6.302425861358643) / ((1.39735620468855e-2) + (exp(((x0) * (2.247617483139038)) - (exp((x0) * (0.8711588978767395))))))))),139,45.0,13.0,39.0,11.0,52.0,15.0,42.0,11.0,13.0,10.0 -kotanchek,140,Operon,Operon,21,1,kept,(0.0000354178737325 + (0.9998701810836792 * (((21.8554801940917969 * x1) - ((21.8578433990478516 * x1) - 0.0542484000325203)) * exp(((((-1.2365419864654541) - ((-0.6182689070701599) * x0)) * ((-1.6172654628753662) * x0)) - (exp(((((-0.0128339584916830) * x1) - (0.0000608815898886 * x1)) - ((((-1.6681232452392578) * x1) - (-6.2428498268127441)) * ((-0.1763334870338440) * x1)))) * ((-0.3036648035049438) * x1))))))),(3.54178737325e-5) + ((exp(((-0.999904950174269) * ((x0) * ((x0) + (-2.0000067483987736)))) - ((exp((x1) * ((-0.29414598863525043) * ((x1) + (-3.6986009700714013))))) * ((x1) * (-0.3036648035049438))))) * (((x1) + (-22.955435961460857)) * (-2.3628981673482485e-3))),140,47.0,14.0,29.0,8.0,59.0,17.0,51.0,13.0,14.0,8.0 -kotanchek,141,Operon,Operon,22,1,kept,(0.0000054139832173 + (0.9996626973152161 * (exp(((((-0.1160286292433739) * x0) * ((-17.2363529205322266) + (8.6183118820190430 * x0))) + exp((exp((((1.4520825147628784 * x1) + (-7.2530150413513184)) * ((-0.1153997406363487) * x1))) + (-2.4340145587921143))))) * (exp((((1.4263883829116821 * x1) + (-7.1799330711364746)) * ((-0.0031533578876406) * x1))) + (-0.9611204862594604))))),(5.4139832173e-6) + ((0.9996626973152161) * ((exp(((-0.9999709140625515) * ((x0) * ((x0) + (-1.999968573485206)))) + (exp((exp((-0.16756994558621316) * ((x1) * ((x1) + (-4.99490557018085))))) + (-2.4340145587921143))))) * ((exp((-4.497913058093474e-3) * ((x1) * ((x1) + (-5.033645223946721))))) + (-0.9611204862594604)))),141,41.0,13.0,35.0,10.0,75.0,20.0,60.0,15.0,13.0,10.0 -kotanchek,142,Operon,Operon,23,1,kept,(0.0008338154293597 + (0.9979702830314636 * ((exp(exp(exp(((0.0654336437582970 + ((-0.0385530032217503) * x1)) * ((-17.4296455383300781) + (5.2765936851501465 * x1)))))) * (exp(((-0.6076733469963074) * x0)) + ((-0.9865196943283081) + (0.7046096920967102 * x0)))) * exp((exp(((-4.4563603401184082) * x0)) - exp((0.6908147931098938 * x0))))))),(8.338154293597e-4) + ((0.9979702830314636) * ((exp(exp(exp((-0.2034285333434609) * (((x1) + (-1.697238562244654)) * ((x1) + (-3.3032002421149307))))))) * (((exp((-0.6076733469963074) * (x0))) + ((-0.9865196943283081) + ((x0) * (0.7046096920967102)))) * (exp((exp((x0) * (-4.456360340118408))) - (exp((x0) * (0.6908147931098938)))))))),142,40.0,11.0,38.0,10.0,57.0,17.0,49.0,13.0,11.0,10.0 -kotanchek,143,Operon,Operon,24,1,kept,(0.0000109874044938 + (0.9998849630355835 * (exp(((227.2529296875000000 * x0) * ((-0.0044004078954458) * x0))) * (((exp((0.0044344896450639 * x1)) - 0.9905131459236145) * exp(((1.9999943971633911 * x0) - (0.0865126922726631 * x1)))) * (exp(((-0.2363450229167938) * x1)) + exp(exp(exp(((1.1673830747604370 * x1) - exp((0.4206682443618774 * x1))))))))))),(1.09874044938e-5) + ((0.9998849630355835) * ((exp((-1.0000055860600643) * ((x0) * (x0)))) * ((((exp((4.4344896450639e-3) * (x1))) - (0.9905131459236145)) * (exp(((x0) * (1.9999943971633911)) - ((x1) * (8.65126922726631e-2))))) * ((exp((x1) * (-0.2363450229167938))) + (exp(exp(exp(((x1) * (1.167383074760437)) - (exp((x1) * (0.4206682443618774))))))))))),143,45.0,11.0,43.0,10.0,61.0,15.0,57.0,14.0,11.0,10.0 -kotanchek,144,Operon,Operon,25,1,kept,((-0.0021912427619100) + (1.0060203075408936 * ((((-1.9571648836135864) + ((-0.1280445605516434) * x1)) + (((-4.9479722976684570) * x0) + (((exp(((-25.1299152374267578) * x0)) - ((-1013.9223632812500000) + ((-2498.2419433593750000) * x0))) / ((-763.4477539062500000) - exp((2.6487932205200195 * x1)))) / exp(((-1.3105899095535278) * x1))))) / ((-64.6880645751953125) - exp((2.9050159454345703 * x0)))))),(-2.19124276191e-3) + ((1.0060203075408936) * ((((-1.9571648836135869) + ((-0.1280445605516434) * (x1))) + (((-4.947972297668457) * (x0)) + ((((exp((x0) * (-25.129915237426758))) - ((-1013.9223632812502) + ((x0) * (-2498.241943359375)))) / ((-763.44775390625) - (exp((x1) * (2.6487932205200195))))) / (exp((x1) * (-1.3105899095535278)))))) / ((-64.68806457519531) - (exp((x0) * (2.9050159454345703)))))),144,43.0,13.0,43.0,13.0,45.0,14.0,43.0,13.0,13.0,13.0 -kotanchek,145,Operon,Operon,26,1,kept,((-0.0000017344426624) + (1.0000044107437134 * (exp((exp(((1.8745909929275513 - (0.6161273121833801 * x1)) * ((-0.4286146163940430) - (1.4141622781753540 - (0.9453756809234619 * x1))))) - (((0.6846604943275452 * x0) - 1.3692940473556519) * (1.4605207443237305 * x0)))) * ((1.0031132698059082 - ((-0.9088089466094971) * x1)) * (0.0477729775011539 - (0.0077679147943854 * x1)))))),(-1.7344426624e-6) + ((exp((exp((0.5824717772909054) * (((3.0425383777981425) - (x1)) * ((x1) + (-1.9492535420091783))))) + ((x0) * (((x0) - (1.999960650132932)) * (-0.9999608547843195))))) * (((6.150038815524071) - (x1)) * (((-1.1037669397382512) - (x1)) * (-7.059581599505541e-3)))),145,41.0,14.0,31.0,9.0,67.0,22.0,51.0,14.0,14.0,9.0 -kotanchek,146,Operon,Operon,27,1,kept,((-0.0020811073482037) + (0.9979038834571838 * ((((((-0.0209705717861652) * x1) - ((0.0227618105709553 * x0) + 0.0106864003464580)) * exp((0.0658860057592392 * x0))) + (0.0203825030475855 * x1)) * ((40.4724655151367188 / ((-62.7512664794921875) - exp((2.9289722442626953 * x0)))) / (exp((0.1633399575948715 * x1)) + ((-0.8682605624198914) - (0.2447641491889954 * x1))))))),(-2.0811073482037e-3) + (((-0.8469517048965315) / ((-62.75126647949219) - (exp((x0) * (2.9289722442626953))))) * ((((exp((x0) * (6.58860057592392e-2))) * (((x1) - ((x0) * (-1.0854167832453585))) + (0.5095903180621941))) + ((x1) * (-0.9719574294599034))) / ((exp((x1) * (0.1633399575948715))) + ((-0.8682605624198914) - ((x1) * (0.2447641491889954)))))),146,42.0,13.0,38.0,11.0,56.0,16.0,56.0,16.0,13.0,11.0 -kotanchek,147,Operon,Operon,28,1,kept,(0.0014168095076457 + (0.9966097474098206 * (((4.5074963569641113 * x0) + exp(((-2.2596077919006348) * x0))) * ((((-0.0000623191444902) * x0) - exp(((0.5578119754791260 * x0) - exp((0.7266396284103394 * x0))))) * ((exp((1.8929998874664307 * x1)) * ((-0.0988849624991417) - ((-0.0229831431061029) * x1))) * (exp((0.2581167519092560 * x1)) + ((-0.6963179111480713) * x1))))))),(1.4168095076457e-3) + ((0.9966097474098206) * ((((4.507496356964111) * (x0)) + (exp((x0) * (-2.2596077919006348)))) * ((((x0) * (-6.23191444902e-5)) - (exp(((x0) * (0.557811975479126)) - (exp((x0) * (0.7266396284103394)))))) * (((exp((1.8929998874664307) * (x1))) * ((-9.88849624991417e-2) - ((x1) * (-2.29831431061029e-2)))) * ((exp((x1) * (0.258116751909256))) + ((x1) * (-0.6963179111480713))))))),147,46.0,12.0,46.0,12.0,60.0,16.0,54.0,13.0,12.0,11.0 -kotanchek,148,Operon,Operon,29,1,kept,((-0.0000438776442024) + (1.0001060962677002 * (exp((((((-0.3045227825641632) * x1) * exp((0.5642136931419373 * x1))) - (4.0260410308837891 + ((-1.9999954700469971) * x0))) - (((-0.6665219664573669) * x0) * ((-1.5003671646118164) * x0)))) * (exp(exp((0.6489872336387634 * x1))) - (exp((1.3141704797744751 * x1)) * ((-0.1860205531120300) * exp((1.5301641225814819 * x1)))))))),(-4.38776442024e-5) + ((1.0001060962677002) * ((exp((((-0.3045227825641632) * (x1)) * (exp((x1) * (0.5642136931419373)))) + ((-4.02604103088379) + ((x0) * ((1.999995470046997) + ((x0) * (-1.0000276729651318))))))) * ((exp(exp((x1) * (0.6489872336387634)))) - ((exp((x1) * (1.314170479774475))) * ((-0.18602055311203) * (exp((x1) * (1.530164122581482)))))))),148,45.0,12.0,41.0,11.0,58.0,14.0,54.0,13.0,12.0,9.0 -kotanchek,149,Operon,Operon,30,1,kept,(0.0002253897109767 + (0.9994593262672424 * (exp(exp((0.0994609072804451 * x1))) * (exp((((-0.5447754859924316) * x0) - exp((0.6602987051010132 * x0)))) * ((((-1.3688123226165771) + exp((0.1289836019277573 - exp((1.1763114929199219 * x0))))) + exp((0.6509695649147034 * x0))) / (((-0.9415363073348999) * x1) + exp((0.3773067891597748 * x1)))))))),(2.253897109767e-4) + ((0.9994593262672424) * ((exp(exp((9.94609072804451e-2) * (x1)))) * ((exp(((-0.5447754859924316) * (x0)) - (exp((x0) * (0.6602987051010132))))) * ((((-1.3688123226165771) + (exp((0.1289836019277573) - (exp((x0) * (1.1763114929199219)))))) + (exp((x0) * (0.6509695649147034)))) / (((x1) * (-0.9415363073348999)) + (exp((x1) * (0.3773067891597748)))))))),149,43.0,11.0,43.0,11.0,43.0,11.0,43.0,11.0,11.0,11.0 -kotanchek,150,SBP,SBP,1,1,kept,0.053829-0.000194*(((((exp(((x0+19.367000)-(x0*x0)))*exp((-13.819000+x0)))-(x1*exp(x1)))*(-1.237000-x1))+exp(x0))),(5.3829e-2) - ((1.94e-4) * (((((exp(((x0) + (19.367)) - ((x0) * (x0)))) * (exp((x0) + (-13.819)))) - ((x1) * (exp(x1)))) * ((-1.237) - (x1))) + 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181.9*exp(0.3441*plog(0.986*x0)) + 1839.35*exp(0.9414*plog(0.0776*x1)) + 9.99*exp(0.9617*plog(0.1006*plog(0.1671*plog(0.04871866*x0**2)))) - 1220.65,63,142.0,38.0,112.0,27.0,122.0,29.0,110.0,27.0,38.0,21.0 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0.04*plog(0.05814242*x1 - 0.20140813*exp(0.0971*plog(0.34089419*x1 - 0.059344*plog(0.254*exp(0.03565512*x0**2))))) + 4.79*plog(0.6811*plog(0.4666*x1)) + 0.0507295936*plog(0.4443*plog(0.34089419*x1 - 0.059344*plog(0.254*x1))) + 0.157136*plog(0.4859*plog(0.344*plog(0.4666*plog(0.254*plog(0.34089419*x1 - 0.059344*plog(0.254*x1)))))) + 1.21*exp(0.11045081*plog(0.4666*x0) + 0.45619192*plog(0.0975*plog(0.9314*plog(0.4666*plog(0.254*x0))))) - 4.77*exp(0.8765*plog(0.0975*plog(0.3709*plog(0.1125*x0)))) + 0.94*exp(0.8767*plog(0.6486*plog(0.3955*plog(0.4666*x0)))) + 0.27*exp(0.7277*plog(0.344*plog(0.4666*plog(0.254*plog(0.4666*plog(0.254*x1)))))) - 24.8439,64,269.0,75.0,231.0,56.0,227.0,56.0,217.0,55.0,75.0,43.0 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391.41*exp(0.7611*plog(0.3476856*x1**2)) - 2.0*exp(0.0974*exp(0.0724582374677117*x0**2*plog(0.5886*x0))) + 12.18*exp(0.0974*exp(0.0724582374677117*x0**2*plog(0.5775*plog(0.226852100840336*x0**2)))) - 264.266,65,191.0,52.0,163.0,38.0,163.0,38.0,157.0,38.0,52.0,32.0 +pagie,66,FEAT,FEAT,7,0,drop_feat,4742.22-628.68*(0.1914*x0/0.0243*(0.9427*(0.2095*x1*(0.0571*x0*x1))-0.0667*x0))-80.65*exp(0.7243*exp(0.6896*plog(0.5464*x1)))-52.70*exp(0.9915*plog(0.9947*(0.0970*x0*plog(0.3820*plog(0.1819*x0)))))+37.38*exp(0.6167*plog(0.5464*x1))+32.88*exp(0.9167*plog(0.6156*x1))+12.12*(0.1917*x0*x0)+1.73*exp(0.6896*plog(0.4049*(0.9427*(0.2095*x1*(0.0571*x0*x1))-0.0667*x0)))-1.29*exp(0.9016*plog(0.3234*plog(0.3820*plog(0.3602*exp(0.9016*plog(0.3421*plog(0.3820*plog(0.3602*x1))))))))+0.05*plog(0.2122*plog(0.3820*plog(0.1819*x0)))+0.05*plog(0.0367*(0.5423*x1+0.1700*(0.0291*x1-0.0010*plog(0.1845*x1)))),2.323404*x0**2 - 4951.82518518518*x0*(0.011277001615*x0*x1**2 - 0.0667*x0) + 0.05*plog(0.0200839649*x1 - 6.239e-6*plog(0.1845*x1)) + 0.05*plog(0.2122*plog(0.382*plog(0.1819*x0))) + 37.38*exp(0.6167*plog(0.5464*x1)) + 32.88*exp(0.9167*plog(0.6156*x1)) - 52.7*exp(0.9915*plog(0.0964859*x0*plog(0.382*plog(0.1819*x0)))) + 1.73*exp(0.6896*plog(0.0045660579539135*x0*x1**2 - 0.02700683*x0)) - 1.29*exp(0.9016*plog(0.3234*plog(0.382*plog(0.3602*exp(0.9016*plog(0.3421*plog(0.382*plog(0.3602*x1)))))))) - 80.65*exp(0.7243*exp(0.6896*plog(0.5464*x1))) + 4742.22,66,191.0,53.0,157.0,39.0,165.0,41.0,154.0,39.0,53.0,29.0 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7.01608925869894*plog(0.1171*x1)*plog(0.2855*x1) + 0.02*plog(0.1306*plog(0.1306*plog(0.012686696455432*x0**2 + 7.904812e-5*x1*plog(0.6882*x1) + 4.0757210672e-5*x1*plog(0.6882*plog(0.4103*plog(0.4103*x1)))))) - 9.45*plog(0.6882*plog(0.4103*plog(0.3573*plog(0.2855*x1)))) + 9.41*plog(0.1306*plog(0.3205*plog(0.4103*plog(0.4103*x1)))) + 45.59*exp(0.6096*plog(0.2652396*x0**2)) + 1.1*exp(0.8248*plog(0.9288*plog(0.3203*plog(0.1858*x0)))) - 1052.19*exp(0.6096*exp(0.8056*plog(0.02766562*x0**2))) + 1057.91,67,241.0,65.0,203.0,47.0,205.0,47.0,191.0,46.0,65.0,38.0 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0.023235*plog(0.7374*plog(0.9899*x1)) - 0.21*plog(0.4541*plog(0.4727*plog(0.3112*plog(0.176*x0)))) + 0.59*exp(0.4658*plog(0.907017*x1 - 0.0206498*plog(0.4086*plog(0.3995*x1)))) - 1.46*exp(0.4754*plog(0.0591*plog(0.4086*plog(0.176*x0)))) - 51.3734,68,202.0,56.0,174.0,42.0,176.0,43.0,168.0,42.0,56.0,32.0 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0.23*plog(0.4921*plog(0.7543*plog(0.4908*x0))) + 0.04*plog(0.6516*plog(0.6808*plog(0.9998*x0))) - 1.8*plog(0.0101*plog(0.4908*exp(0.9368*plog(0.5124*plog(0.7543*plog(0.4908*x0)))))) - 26.34*exp(0.1466*plog(0.2826594*x0)) - 3.95*exp(0.7529*plog(0.4921*plog(0.7543*plog(0.4908*x0)))) + 0.88*exp(0.3047*plog(0.4921*plog(0.4921*plog(1.96631434440154*x1**2*plog(0.1023*x1))))) + 8.36124,69,223.0,61.0,183.0,45.0,187.0,47.0,181.0,45.0,61.0,33.0 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+ 1.495433004*x1**2*plog(0.4262*x1) + 0.005232924*plog(0.0218988126*x0*(13.0532155844156*x0 + 11.3002805194805*plog(0.8893*x0)) + 0.018939*x0 + 0.01844864575*plog(0.0527*plog(0.1544*x1))) + 0.044412*plog(0.0218988126*x0*(22.6460237174026*x0 + 8.30457615376623*plog(0.8893*x0)) + 0.018939*x0 + 0.01844864575*plog(0.0527*plog(0.1544*plog(0.4262*x1)))) - 2.5*plog(0.2372*plog(0.408*x0)) - 0.16*plog(0.1544*plog(-0.0280305538844444*x0**2 + 0.22415776*x1)) + 0.0011022276*plog(0.535*plog(0.6112*plog(0.8893*x0))) - 11.12*exp(0.0701*plog(0.0527*x0)) + 27.12*exp(0.555*plog(0.012552003584*x1**2*plog(0.4537*x1))) - 1.7*exp(0.555*plog(0.00150281812630282*x1**2*plog(0.4262*x1) + 0.015560158712*x1 + 0.00804424*plog(0.535*plog(0.6112*exp(0.555*plog(0.1544*x1)))))) - 0.22*exp(0.6215*plog(0.309560193316789*x0**2 + 0.017410875456*x0 + 0.016960086249808*x1 + 0.14375424*plog(0.8893*plog(0.021591452896*x0 + 0.017410875456*x1 + 0.14375424*plog(0.8893*x0))))) + 2.5*exp(0.7355*plog(0.2621*plog(0.4993*plog(0.0527*plog(0.3923*x1))))) + 1063.93,70,357.0,103.0,275.0,67.0,285.0,70.0,267.0,66.0,103.0,52.0 +pagie,71,FEAT,FEAT,12,0,drop_feat,-2.85886-7468.42*exp(0.7553*plog(0.3431*(0.0008*x0*x0)))+103.55*plog(0.3330*plog(0.3055*x1))-101.48*plog(0.3330*plog(0.3772*x1))+43.26*exp(0.9163*plog(0.3431*x0))+15.33*(0.3387*x0*x0)+11.88*(0.5357*exp(0.4973*plog(0.3474*x0))-0.8771*(0.3320*plog(0.3772*x1)/0.7932*(0.1596*x1/0.0400*x1)))-3.82*(0.7560*x1*x1)-0.28*plog(0.3223*plog(0.3223*plog(0.3862*plog(0.3474*x1))))+0.07*plog(0.3223*plog(0.3862*plog(0.3330*x0)))-0.05*plog(0.7633*(0.1692*x1-0.6511*plog(0.5213*x1))),5.192271*x0**2 - 17.4017860774584*x1**2*plog(0.3772*x1) - 2.88792*x1**2 - 0.05*plog(0.12915036*x1 - 0.49698463*plog(0.5213*x1)) + 103.55*plog(0.333*plog(0.3055*x1)) - 101.48*plog(0.333*plog(0.3772*x1)) + 0.07*plog(0.3223*plog(0.3862*plog(0.333*x0))) - 0.28*plog(0.3223*plog(0.3223*plog(0.3862*plog(0.3474*x1)))) + 43.26*exp(0.9163*plog(0.3431*x0)) + 6.364116*exp(0.4973*plog(0.3474*x0)) - 7468.42*exp(0.7553*plog(0.00027448*x0**2)) - 2.85886,71,154.0,42.0,136.0,33.0,136.0,33.0,132.0,33.0,42.0,24.0 +pagie,72,FEAT,FEAT,13,0,drop_feat,21233.7-23766.51*exp(0.0604*exp(0.0604*(0.3917*x1*x1)))+2094.16*exp(0.0947*plog(0.9472*x0))+1151.92*exp(0.5012*exp(0.9637*plog(0.4671*x1)))+1127.05*exp(0.5336*plog(0.6225*exp(0.7956*plog(0.0557*x0))))+993.75*plog(0.6533*plog(0.1215*x0))+856.32*exp(0.7220*plog(0.1215*x0))-778.14*exp(0.9637*plog(0.3413*x1))+153.91*(0.0985*x0*x0)+1.70*exp(0.4867*plog(0.0241*plog(0.4671*plog(0.5677*x1))))+0.04*plog(0.4833*plog(0.9108*exp(0.3821*x1))),15.160135*x0**2 + 993.75*plog(0.6533*plog(0.1215*x0)) + 0.04*plog(0.4833*plog(0.9108*exp(0.3821*x1))) + 856.32*exp(0.722*plog(0.1215*x0)) + 2094.16*exp(0.0947*plog(0.9472*x0)) - 778.14*exp(0.9637*plog(0.3413*x1)) + 1.7*exp(0.4867*plog(0.0241*plog(0.4671*plog(0.5677*x1)))) + 1127.05*exp(0.5336*plog(0.6225*exp(0.7956*plog(0.0557*x0)))) - 23766.51*exp(0.0604*exp(0.02365868*x1**2)) + 1151.92*exp(0.5012*exp(0.9637*plog(0.4671*x1))) + 21233.7,72,134.0,37.0,130.0,35.0,130.0,35.0,128.0,35.0,37.0,24.0 +pagie,73,FEAT,FEAT,14,0,drop_feat,68.3233-66.30*(0.0583*exp(0.8911*plog(0.6911*x0))*plog(0.5829*x0))+49.32*(0.3347*x1*(0.1994*x1*plog(0.7962*x1)))+31.42*exp(0.8849*plog(0.1209*x1))-28.94*exp(0.8849*exp(0.8849*(0.0574*x1*x1)))+20.46*(0.0583*exp(0.8911*plog(0.6911*x0))*plog(0.6911*x0))+2.91*exp(0.9651*plog(0.2782*plog(0.4340*plog(0.4521*x0))))+2.33*exp(0.8242*plog(0.2782*plog(0.4108*plog(0.4521*x1))))-0.09*plog(0.2078*plog(0.1484*plog(0.9824*x0)))+0.04*plog(0.7508*(0.9933*exp(0.9765*exp(0.2743*x1))-0.1006*x1))-0.02*plog(0.6911*(0.7367*plog(0.9824*plog(0.7595*x0))*(0.0736*x0+0.2684*plog(0.6911*x0)))),3.2915763576*x1**2*plog(0.7962*x1) - 3.86529*plog(0.5829*x0)*exp(0.8911*plog(0.6911*x0)) + 1.192818*plog(0.6911*x0)*exp(0.8911*plog(0.6911*x0)) - 0.02*plog(0.50913337*(0.0736*x0 + 0.2684*plog(0.6911*x0))*plog(0.9824*plog(0.7595*x0))) + 0.04*plog(-0.07553048*x1 + 0.74576964*exp(0.9765*exp(0.2743*x1))) - 0.09*plog(0.2078*plog(0.1484*plog(0.9824*x0))) + 31.42*exp(0.8849*plog(0.1209*x1)) + 2.91*exp(0.9651*plog(0.2782*plog(0.434*plog(0.4521*x0)))) + 2.33*exp(0.8242*plog(0.2782*plog(0.4108*plog(0.4521*x1)))) - 28.94*exp(0.8849*exp(0.05079326*x1**2)) + 68.3233,73,184.0,50.0,159.0,40.0,172.0,44.0,166.0,42.0,50.0,31.0 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+ 0.00466813256139638*x1*exp(0.0986219*x0*x1) - 1.55375949395341*x1 - 0.035423104*plog(0.2667*x0)*plog(0.3074*x0) + 0.1137513468*plog(0.2667*x0) - 1.944821529*plog(0.2887*x0) - 15.53*plog(0.4241*x0) + 0.00282158894437805*plog(0.4382*x0) - 0.1684367048*plog(0.7097*x0) - 0.07809097752576*plog(0.7628*x1) + 0.0432188676*plog(0.7716*x1) - 14.5*plog(0.328998461907582*x0*x1) - 14.43*plog(0.334502975653742*x1*plog(0.2578*x0)) - 5.94*plog(1.6368961935502*x0*plog(0.08628174*x1)*plog(0.3942*x1)) - 1.12885265785632*plog(0.17277756*x1 + 0.17576804*exp(0.7037*x1)) + 0.3221655471*plog(0.17277756*plog(0.7673*x0) + 0.17576804*exp(0.18417911819618*x0**2)) + 0.0210329144754562*plog(0.17277756*plog(0.7673*x1) + 0.17576804*exp(0.1418*x1)) + 0.2427914268*plog(0.17277756*plog(0.7673*x1) + 0.17576804*exp(0.0035712516767616*x1**2 + 0.100375410144*x1)) + 1.250742801*exp(0.2963*x1) - 0.54*exp(0.3174*plog(0.17277756*plog(0.6891*x0) + 0.17576804*exp(0.0119853*x1))) + 0.45*exp(0.3174*plog(0.512594884984*x1 + 0.267524484624*plog(0.7673*x1) + 0.272154869616*exp(0.7281*x1))) - 35.8536,74,416.0,124.0,281.0,69.0,273.0,67.0,266.0,66.0,124.0,42.0 +pagie,75,FEAT,FEAT,16,0,drop_feat,-3974.01+4116.06*exp(0.0327*plog(0.0142*exp(0.8261*plog(0.4494*x1))))+377.50*plog(0.8694*plog(0.0656*x0))+335.35*exp(0.3851*plog(0.4763*x0))+124.08*exp(0.9256*plog(0.4494*x1))+112.06*plog(0.5961*(0.1310*plog(0.2073*x1)-0.2361*(0.3511*x1*x1)))-66.11*plog(0.6807*x1)-43.93*(0.3511*x1*x1)-43.02*(0.4579*plog(0.6240*x0)-0.8180*(0.3511*x1*x1))+14.35*(0.2213*x0*x0)+0.20*(0.3217*plog(0.7458*x1)*x1),3.175655*x0**2 - 3.068487604*x1**2 + 0.06434*x1*plog(0.7458*x1) - 19.698858*plog(0.624*x0) - 66.11*plog(0.6807*x1) + 112.06*plog(-0.049413536631*x1**2 + 0.0780891*plog(0.2073*x1)) + 377.5*plog(0.8694*plog(0.0656*x0)) + 335.35*exp(0.3851*plog(0.4763*x0)) + 124.08*exp(0.9256*plog(0.4494*x1)) + 4116.06*exp(0.0327*plog(0.0142*exp(0.8261*plog(0.4494*x1)))) - 3974.01,75,129.0,35.0,113.0,28.0,111.0,28.0,106.0,27.0,35.0,18.0 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6983.73*exp(-0.043614601318*x1**2),76,174.0,50.0,114.0,28.0,118.0,30.0,101.0,26.0,50.0,22.0 +pagie,77,FEAT,FEAT,18,0,drop_feat,1615.33-9124.00*exp(0.8594*plog(0.1584*(0.0229*x0*x0)))-2443.32*exp(0.8594*(0.0229*x0*x0))+865.33*exp(0.8594*exp(0.4389*plog(0.1255*x0)))-343.74*exp(0.4389*plog(0.9786*x0))+133.05*(0.6983*x0*x0)+116.84*exp(0.4389*plog(0.1656*x1))+82.14*plog(0.2153*plog(0.1656*x1))+36.77*(0.0490*plog(0.4031*plog(0.3247*x1))-0.4792*plog(0.4947*x0))+6.64*plog(0.1883*x1)-0.23*(0.0146*(0.3111*exp(0.7003*x1)*plog(0.8099*plog(0.3911*plog(0.3247*x1))))-0.7943*(0.0532*plog(0.4068*plog(0.3911*plog(0.3911*x1)))-0.8992*x0)),92.908815*x0**2 - 0.1642739488*x0 - 17.620184*plog(0.4947*x0) + 6.64*plog(0.1883*x1) + 82.14*plog(0.2153*plog(0.1656*x1)) + 1.80173*plog(0.4031*plog(0.3247*x1)) - 0.0010446738*plog(0.8099*plog(0.3911*plog(0.3247*x1)))*exp(0.7003*x1) + 0.0097190548*plog(0.4068*plog(0.3911*plog(0.3911*x1))) - 2443.32*exp(0.01968026*x0**2) - 343.74*exp(0.4389*plog(0.9786*x0)) - 9124.0*exp(0.8594*plog(0.00362736*x0**2)) + 116.84*exp(0.4389*plog(0.1656*x1)) + 865.33*exp(0.8594*exp(0.4389*plog(0.1255*x0))) + 1615.33,77,160.0,44.0,146.0,37.0,146.0,37.0,143.0,37.0,44.0,27.0 +pagie,78,FEAT,FEAT,19,0,drop_feat,3.46966-47.82*exp(0.8998*plog(0.5877*(0.1773*(0.0255*x1/0.7944*x1)-0.2609*(0.1967*x1*x1))))+10.31*(0.1041*x1*x1)+0.69*plog(0.4807*(0.1773*(0.0255*x1/0.7944*(0.1448*x1-0.3499*x1))-0.2609*(0.1967*x1*x1)))-0.37*plog(0.4807*(0.2247*(0.1773*(0.0255*x1/0.7944*x1)-0.2609*(0.1967*x1*x1))-0.0950*(0.1967*x1*x1)))-0.07*(0.2055*x0*x0)-0.05*plog(0.9959*(0.5141*plog(0.5877*x1)-0.1025*x1))+0.03*plog(0.4807*(0.1773*(0.0255*x1/0.7944*x1)-0.2609*(0.1967*x1*x1)))-0.01*plog(0.2938*(0.0830*x0/0.1487*exp(0.9262*plog(0.2938*(0.0830*x0/0.1487*exp(0.9262*(0.7115*(0.2055*x0*x0)/0.6674*(0.3059*x1/0.2886*x1))))))))-0.00*exp(0.9262*(0.5502*(0.1430*x0*x0)/0.5718*(0.7457*x1/0.2853*x1)))-0.00*exp(0.4454*(0.7115*(0.2055*x0*x0)/0.6674*(0.3059*x1/0.2886*x1))),-0.014385*x0**2 + 1.073271*x1**2 + 0.69*plog(-0.0252301696000351*x1**2) + 0.03*plog(-0.0219332611386737*x1**2) - 0.37*plog(-0.01391100432786*x1**2) - 0.01*plog(0.163990585070612*x0*exp(0.9262*plog(0.163990585070612*x0*exp(0.215074268858751*x0**2*x1**2)))) - 0.05*plog(-0.10207975*x1 + 0.51199219*plog(0.5877*x1)) - 47.82*exp(0.8998*plog(-0.0268154307701239*x1**2)) + 3.46966,78,196.0,58.0,104.0,23.0,112.0,27.0,92.0,21.0,72.0,1.0 +pagie,79,FEAT,FEAT,20,0,drop_feat,6046.96-6026.31*exp(0.0911*(0.3811*x0*x0))-1989.80*exp(0.5219*plog(0.4331*x0))-1811.31*exp(0.9277*plog(0.5787*(0.2426*x0*x0)))+1715.78*(0.2426*x0*x0)+1543.95*exp(0.5990*plog(0.3652*x0))-442.16*plog(0.2571*plog(0.2891*x0))-175.23*(0.6701*plog(0.2683*(0.6701*plog(0.1056*x1)-0.2963*(0.1195*x1*x1)))-0.2963*(0.0958*x1*x1))+64.34*exp(0.5687*plog(0.3652*x1))+57.33*(0.7110*plog(0.5907*x0)-0.8188*exp(0.9277*(0.0958*x1*x1)))-20.53*(0.6701*plog(0.6701*x1)-0.2963*(0.0958*x1*x1)),416.248228*x0**2 + 5.5567533104*x1**2 + 40.76163*plog(0.5907*x0) - 13.757153*plog(0.6701*x1) - 117.421623*plog(-0.009499926155*x1**2 + 0.17978783*plog(0.1056*x1)) - 442.16*plog(0.2571*plog(0.2891*x0)) - 6026.31*exp(0.03471821*x0**2) - 46.941804*exp(0.08887366*x1**2) + 1543.95*exp(0.599*plog(0.3652*x0)) - 1989.8*exp(0.5219*plog(0.4331*x0)) - 1811.31*exp(0.9277*plog(0.14039262*x0**2)) + 64.34*exp(0.5687*plog(0.3652*x1)) + 6046.96,79,151.0,42.0,129.0,31.0,125.0,31.0,117.0,30.0,42.0,22.0 +pagie,80,FEAT,FEAT,21,0,drop_feat,180.72-30733.13*(0.0010*x1*x1)-568.59*exp(0.6467*exp(0.6467*plog(0.9309*x0)))+499.97*exp(0.8051*plog(0.7056*x0))+443.77*exp(0.7036*plog(0.0578*x1))+420.16*exp(0.3511*(0.2990*x1*x1))+160.67*(0.0514*plog(0.2732*x1)/0.3997*(0.5357*x0/0.0788*x0))+86.67*exp(0.3573*plog(0.4720*x0))+50.93*(0.9163*x0*x0)+3.38*plog(0.8627*exp(0.7036*plog(0.2913*x1)))+0.05*plog(0.9821*plog(0.9707*exp(0.1243*x1))),140.462111704337*x0**2*plog(0.2732*x1) + 46.667159*x0**2 - 30.73313*x1**2 + 0.05*plog(0.9821*plog(0.9707*exp(0.1243*x1))) + 3.38*plog(0.8627*exp(0.7036*plog(0.2913*x1))) + 420.16*exp(0.1049789*x1**2) + 86.67*exp(0.3573*plog(0.472*x0)) + 499.97*exp(0.8051*plog(0.7056*x0)) + 443.77*exp(0.7036*plog(0.0578*x1)) - 568.59*exp(0.6467*exp(0.6467*plog(0.9309*x0))) + 180.72,80,125.0,35.0,107.0,28.0,111.0,28.0,104.0,28.0,35.0,18.0 +pagie,81,FEAT,FEAT,22,0,drop_feat,105.342-531.05*exp(0.1489*plog(0.1059*x0))-308.80*exp(0.9980*plog(0.1059*x0))-197.29*plog(0.0947*plog(0.1095*x0))-79.08*exp(0.4794*plog(0.1023*x1))+48.59*exp(0.6828*plog(0.9104*x1))+44.13*(0.8226*exp(0.8717*plog(0.9104*x1))-0.5269*(0.0851*x0/0.9976*x0))-5.91*exp(0.9865*plog(0.1023*(0.2048*plog(0.9104*x1)-0.6681*plog(0.0941*exp(0.5523*x1)))))+0.75*exp(0.7792*plog(0.5661*plog(0.4135*plog(0.4173*x1))))-0.72*(0.1008*exp(0.6841*plog(0.9104*plog(0.5661*plog(0.4290*plog(0.4240*x0)))))+0.2293*x1)-0.29*plog(0.4135*plog(0.4272*x1)),-1.98351388803128*x0**2 - 0.165096*x1 - 197.29*plog(0.0947*plog(0.1095*x0)) - 0.29*plog(0.4135*plog(0.4272*x1)) - 531.05*exp(0.1489*plog(0.1059*x0)) - 308.8*exp(0.998*plog(0.1059*x0)) - 79.08*exp(0.4794*plog(0.1023*x1)) + 48.59*exp(0.6828*plog(0.9104*x1)) + 36.301338*exp(0.8717*plog(0.9104*x1)) - 5.91*exp(0.9865*plog(0.02095104*plog(0.9104*x1) - 0.06834663*plog(0.0941*exp(0.5523*x1)))) + 0.75*exp(0.7792*plog(0.5661*plog(0.4135*plog(0.4173*x1)))) - 0.072576*exp(0.6841*plog(0.9104*plog(0.5661*plog(0.429*plog(0.424*x0))))) + 105.342,81,168.0,47.0,158.0,42.0,160.0,43.0,157.0,42.0,47.0,30.0 +pagie,82,FEAT,FEAT,23,0,drop_feat,-20645.1+22593.06*exp(0.0342*plog(0.0288*x0))+1642.20*plog(0.3477*plog(0.1143*x0))+685.81*exp(0.5799*plog(0.9824*x0))-596.61*exp(0.8515*exp(0.8515*plog(0.1528*x1)))+527.77*exp(0.8814*plog(0.4350*(0.2907*x1-0.6680*x1)))-369.33*plog(0.0678*x0)+50.11*(0.4834*x0*x0)+10.67*(0.4853*x1*x1)-4.25*exp(0.8814*plog(0.4350*(0.6698*x1-0.4404*(0.6256*x1/0.9696*exp(0.8814*plog(0.4350*x1))))))+0.15*(0.9578*(0.6256*x1/0.9696*exp(0.8814*plog(0.4350*(0.0469*x1+0.7478*x1))))-0.8056*(0.3042*x1-0.1685*x1)),24.223174*x0**2 + 5.178151*x1**2 + 0.0926979702970297*x1*exp(0.8814*plog(0.3456945*x1)) - 0.016397988*x1 - 369.33*plog(0.0678*x0) + 1642.2*plog(0.3477*plog(0.1143*x0)) + 22593.06*exp(0.0342*plog(0.0288*x0)) + 685.81*exp(0.5799*plog(0.9824*x0)) + 527.77*exp(0.8814*plog(-0.1641255*x1)) - 4.25*exp(0.8814*plog(-0.123606326732673*x1*exp(0.8814*plog(0.435*x1)) + 0.291363*x1)) - 596.61*exp(0.8515*exp(0.8515*plog(0.1528*x1))) - 20645.1,82,155.0,45.0,117.0,31.0,125.0,33.0,115.0,31.0,45.0,21.0 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- 1916.12*exp(0.2818*exp(0.7934*plog(0.8877*x1))) + 1889.9,83,170.0,46.0,152.0,37.0,152.0,37.0,150.0,37.0,46.0,28.0 +pagie,84,FEAT,FEAT,25,0,drop_feat,10169.3-10169.80*exp(0.2343*exp(0.8759*plog(0.7054*x0)))+5326.11*exp(0.8984*plog(0.1634*x0))+1226.99*exp(0.8759*plog(0.5721*x0))+649.63*(0.1747*x0*x0)+44.54*exp(0.9998*plog(0.2254*x1))-9.54*exp(0.6872*plog(0.7054*x1))-2.02*plog(0.4792*(0.2734*plog(0.8311*x1)-0.0506*(0.3565*x1*x1)))+1.88*plog(0.3602*plog(0.4355*x1))+0.66*plog(0.6986*x0)+0.05*(0.9340*x1+0.1757*plog(0.0118*(0.2734*exp(0.8115*x1)-0.0506*(0.9766*x1-0.0849*x1)))),113.490361*x0**2 + 0.0467*x1 + 0.66*plog(0.6986*x0) + 0.008785*plog(-0.000532416236*x1 + 0.00322612*exp(0.8115*x1)) - 2.02*plog(-0.00864424088*x1**2 + 0.13101328*plog(0.8311*x1)) + 1.88*plog(0.3602*plog(0.4355*x1)) + 5326.11*exp(0.8984*plog(0.1634*x0)) + 1226.99*exp(0.8759*plog(0.5721*x0)) + 44.54*exp(0.9998*plog(0.2254*x1)) - 9.54*exp(0.6872*plog(0.7054*x1)) - 10169.8*exp(0.2343*exp(0.8759*plog(0.7054*x0))) + 10169.3,84,138.0,39.0,122.0,32.0,126.0,34.0,120.0,32.0,39.0,23.0 +pagie,85,FEAT,FEAT,26,0,drop_feat,637.433-788.81*(0.0049*x0*x0)-515.20*plog(0.1041*plog(0.3325*x0))+506.60*plog(0.0564*plog(0.3198*x0))-160.32*plog(0.9210*plog(0.3325*x1))+127.50*plog(0.1454*plog(0.2873*x1))-91.51*(0.0797*plog(0.0559*plog(0.3891*x1))-0.3873*(0.4035*x1*x1))+12.06*plog(0.1073*plog(0.4632*x0))-1.13*exp(0.5913*plog(0.1041*plog(0.2851*plog(0.0965*plog(0.2851*plog(0.1462*x0))))))-0.17*(0.0797*plog(0.6259*plog(0.3891*plog(0.3891*x1)))-0.3873*(0.3800*plog(0.3325*plog(0.9210*exp(0.0258*x1)))*plog(0.2851*(0.4035*plog(0.3325*plog(0.6259*plog(0.3891*plog(0.3891*x1))))*x1))))+0.00*exp(0.7213*(0.4813*x1/0.0102*plog(0.2873*x1))),-3.865169*x0**2 + 14.3007755805*x1**2 + 0.02501958*plog(0.11503785*x1*plog(0.3325*plog(0.6259*plog(0.3891*plog(0.3891*x1)))))*plog(0.3325*plog(0.921*exp(0.0258*x1))) + 506.6*plog(0.0564*plog(0.3198*x0)) - 515.2*plog(0.1041*plog(0.3325*x0)) + 12.06*plog(0.1073*plog(0.4632*x0)) + 127.5*plog(0.1454*plog(0.2873*x1)) - 160.32*plog(0.921*plog(0.3325*x1)) - 7.293347*plog(0.0559*plog(0.3891*x1)) - 0.013549*plog(0.6259*plog(0.3891*plog(0.3891*x1))) - 1.13*exp(0.5913*plog(0.1041*plog(0.2851*plog(0.0965*plog(0.2851*plog(0.1462*x0)))))) + 637.433,85,179.0,47.0,167.0,41.0,169.0,42.0,165.0,41.0,52.0,1.0 +pagie,86,FEAT,FEAT,27,0,drop_feat,5221.38-4310.27*exp(0.2280*plog(0.1229*x1))+3821.11*(0.7474*plog(0.9040*plog(0.0542*x1))-0.7662*(0.0545*x0*x0))-3047.80*(0.0545*x0*x0)-1863.38*(0.4025*plog(0.2795*x0)/0.9285*(0.0864*x0/0.7917*x0))-247.71*exp(0.8807*plog(0.9756*x1))-172.28*plog(0.0542*x1)+30.08*plog(0.2795*plog(0.4829*(0.3995*x0*x0)))-15.32*(0.3016*x1*x1)+3.05*plog(0.9655*x0)+0.04*plog(0.9743*(0.4304*(0.0864*x0/0.7917*x0)-0.8980*x1)),-88.1532856536812*x0**2*plog(0.2795*x0) - 325.666629269*x0**2 - 4.620512*x1**2 + 3.05*plog(0.9655*x0) - 172.28*plog(0.0542*x1) + 0.04*plog(0.0457633767942403*x0**2 - 0.8749214*x1) + 30.08*plog(0.2795*plog(0.19291855*x0**2)) + 2855.897614*plog(0.904*plog(0.0542*x1)) - 4310.27*exp(0.228*plog(0.1229*x1)) - 247.71*exp(0.8807*plog(0.9756*x1)) + 5221.38,86,133.0,37.0,105.0,25.0,105.0,25.0,95.0,24.0,37.0,16.0 +pagie,87,FEAT,FEAT,28,0,drop_feat,-123.354-597.80*(0.0104*(0.0104*x1*plog(0.7861*x1))*plog(0.7861*x1))+301.65*exp(0.3320*(0.4565*x1*x1))+194.93*exp(0.4474*plog(0.6568*x0))-143.36*(0.8414*(0.0489*x0-0.4023*(0.4984*x0+0.0035*x0))+0.9517*(0.1651*x1*x1))-131.21*exp(0.4666*(0.4565*x1*x1))+122.42*(0.1661*(0.6893*(0.7041*x0+0.2828*(0.0104*x1*plog(0.7861*x1)))-0.0115*x0)-0.6136*plog(0.6737*x0))+113.29*plog(0.4141*plog(0.1569*x0))+60.98*plog(0.0637*plog(0.4197*(0.4565*(0.4984*x0+0.0035*x0)*plog(0.1569*(0.1200*x0*x0)))))+4.51*exp(0.7100*plog(0.4920*x1))+0.77*exp(0.7300*plog(0.9098*plog(0.4141*plog(0.4141*x1)))),28.0920341276515*x0 - 22.5255360512*x1**2 - 0.064658048*x1*plog(0.7861*x1)**2 + 0.0412233261634114*x1*plog(0.7861*x1) - 75.116912*plog(0.6737*x0) + 113.29*plog(0.4141*plog(0.1569*x0)) + 60.98*plog(0.0637*plog(0.096160551795*x0*plog(0.018828*x0**2))) + 301.65*exp(0.151558*x1**2) - 131.21*exp(0.2130029*x1**2) + 194.93*exp(0.4474*plog(0.6568*x0)) + 4.51*exp(0.71*plog(0.492*x1)) + 0.77*exp(0.73*plog(0.9098*plog(0.4141*plog(0.4141*x1)))) - 123.354,87,186.0,52.0,142.0,34.0,132.0,31.0,127.0,31.0,52.0,24.0 +pagie,88,FEAT,FEAT,29,0,drop_feat,-20.2023+1889.79*exp(0.6835*plog(0.5511*x1))-1111.17*exp(0.6334*plog(0.7846*x1))-384.13*(0.0986*(0.9151*exp(0.2747*(0.1426*x1+0.1367*plog(0.5019*x1)))-0.3215*plog(0.1038*plog(0.4280*x0)))+0.4384*(0.4333*x1-0.6701*x1))-346.38*exp(0.8234*plog(0.9078*x1))-253.40*(0.0350*x0*x0)+251.95*(0.0986*(0.9151*(0.4734*x1-0.3270*exp(0.1872*x1))-0.3215*plog(0.1038*plog(0.4530*x0)))+0.4384*(0.4333*x1-0.6701*x1))+83.08*plog(0.1206*plog(0.1206*x0))+27.72*(0.3874*x1-0.4887*(0.2657*x1*x1))+2.85*plog(0.8063*x0)+0.02*exp(0.9128*x1),-8.869*x0**2 - 3.5993751948*x1**2 + 35.2226247501318*x1 + 2.85*plog(0.8063*x0) + 83.08*plog(0.1206*plog(0.1206*x0)) + 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+pagie,121,Operon,Operon,2,1,kept,((-0.0615618973970413) + (1.0497297048568726 * (((((3.4508244991302490 * x0) * (exp(((2.5524139404296875 * x0) * ((-1.6356614828109741) * x0))) * (((2.4663076400756836 * x0) * ((-0.0845688283443451) * x0)) * (3.5071039199829102 * x0)))) - exp(((3.0741317272186279 * x0) * ((-0.2599562704563141) * x0)))) - exp(((0.0030150315724313 * x1) * ((-247.1376800537109375) * x1)))) + 1.9547927379608154))),-2.6497601004867348*x0**4*exp(-4.174885170550624*x0**2) + 1.9904421064789234 - 1.0497297048568726*exp(-0.745127908099363587*x1**2) - 1.0497297048568726*exp(-0.79913981869918164*x0**2),121,48.0,13.0,34.0,6.0,40.0,11.0,26.0,6.0,13.0,6.0 +pagie,122,Operon,Operon,3,1,kept,(0.0000011243114386 + (0.9999998211860657 * (((((-1.5812002420425415) + exp((((-0.1428712755441666) * x1) * (6.4702811241149902 * x1)))) + exp(((0.0134312557056546 * x0) * ((-68.7404861450195312) * x0)))) * (-1.2517620325088501)) - ((exp((((-0.0396961532533169) * x1) * (152.2495422363281250 * x1))) + exp(((1.0955569744110107 * x0) * ((-5.6038808822631836) * x0)))) * (-0.2742688059806824))))),1.9792871991701026 + 0.2742687569375981*exp(-6.043721161360625488*x1**2) - 1.2517618086763563*exp(-0.9244173173316527744*x1**2) + 0.2742687569375981*exp(-6.1393707843319587*x0**2) - 1.2517618086763563*exp(-0.923271046744764579*x0**2),122,45.0,13.0,33.0,7.0,45.0,13.0,29.0,7.0,13.0,7.0 +pagie,123,Operon,Operon,4,1,kept,(0.0130726965144277 + (0.9919041991233826 * (exp(((((58.9215812683105469 * x0) * exp((((-5.0386314392089844) * x1) * (2.4705743789672852 * x1)))) + (log(((0.4419521391391754 * x0) * (0.1393797099590302 * x0))) / (0.0113436263054609 * x0))) / (381.6167297363281250 * x0))) - (exp(((((-0.8848519921302795) * x1) * (0.9313139915466309 * x1)) + 0.1248256787657738)) + (-0.9970148205757141))))),0.9919041991233826*exp(0.1543998904582130231*exp(-12.448313738768775*x1**2) + 0.2310046294243750492*log(x0**2)/x0**2 - 0.6438346264391826885/x0**2) + 1.002015883631724 - 1.123778793245288*exp(-0.8240750407188386*x1**2),123,47.0,13.0,37.0,8.0,43.0,10.0,34.0,8.0,13.0,8.0 +pagie,124,Operon,Operon,5,1,kept,((-0.0197761859744787) + (1.0117771625518799 * ((exp(((1.6896657943725586 * x1) * ((-1.6174912452697754) * x1))) * ((0.0575970448553562 * x1) * ((-14.7621564865112305) * x1))) - (exp(((0.4481753110885620 * x1) * ((-1.8585087060928345) * x1))) - (1.9719880819320679 - exp((((0.2870940864086151 * x0) * ((-1.9049599170684814) * x0)) / exp((((-0.2803071439266205) * x0) * (0.7164036631584167 * x0)))))))))),-0.860270199378549024*x1**2*exp(-2.7330196298294141*x1**2) + 1.975436320148873 - 1.0117771625518799*exp(-0.54690272703580685*x0**2*exp(0.2008130647185045*x0**2)) - 1.0117771625518799*exp(-0.83293771751395694*x1**2),124,49.0,13.0,37.0,7.0,47.0,12.0,32.0,7.0,13.0,7.0 +pagie,125,Operon,Operon,6,1,kept,(0.0004403672355693 + (0.9997187852859497 * (exp((((-13.4114389419555664) * x0) * (0.2287123352289200 * x0))) - ((-3.1294746398925781) + (exp((exp((((-3.3788871765136719) * x0) * (0.2795567214488983 * x0))) - (-0.1448028236627579))) + ((1.0040752887725830 + ((1.8763431310653687 * x1) * (0.6411635279655457 * x1))) / exp(((1.1580088138580322 * x1) * (1.2662296295166016 * x1))))))))),-1.2027044682559756*x1**2*exp(-1.4663050713484154*x1**2) - 1.155486617848524*exp(exp(-0.94459062121188704*x0**2)) + 3.1290349528121623 - 1.0037929280273658*exp(-1.4663050713484154*x1**2) + 0.9997187852859497*exp(-3.06736151919473366*x0**2),125,45.0,13.0,35.0,8.0,52.0,14.0,31.0,8.0,13.0,8.0 +pagie,126,Operon,Operon,7,1,kept,(0.0028247879818082 + (0.9984024167060852 * (0.7176343202590942 - ((exp(((4.5870537757873535 * x1) * ((-0.0708576515316963) * x1))) / ((((-2.5320065021514893) * x1) * ((-0.5026428699493408) * x1)) + exp((((-1.5353101491928101) * x1) * (1.0705516338348389 * x1))))) + ((-3.4508912563323975) / exp(exp(exp(((1.6964559555053711 * x0) * ((-0.5267499089241028) * x0)))))))))),0.7193126276397166 + 3.4453781701121642*exp(-exp(exp(-0.89360802005620601*x0**2))) - 0.9984024167060852*exp(-0.32502785800189209*x1**2)/(1.2726950149718163*x1**2 + exp(-1.6436287886615731*x1**2)),126,44.0,12.0,36.0,8.0,42.0,11.0,32.0,8.0,12.0,7.0 +pagie,127,Operon,Operon,8,1,kept,((-0.0218773111701012) + (1.0134590864181519 * ((((((-0.3641613721847534) * x0) * (2.2286646366119385 * x0)) * exp((((-2.4582626819610596) * x0) * (1.0862829685211182 * x0)))) + (1.9716572761535645 - exp(((((-2.4894037246704102) * x1) * (0.2193875461816788 * x1)) * exp((((-0.4357891678810120) * x1) * ((-0.4778871238231659) * x1))))))) - exp((((-1.3948150873184204) * x0) * (0.5922598838806152 * x0)))))),-0.8225168802330056*x0**2*exp(-2.6703688835653453*x0**2) + 1.9763166706501921 - 1.0134590864181519*exp(-0.54614417461097283*x1**2*exp(0.2082580320319476*x1**2)) - 1.0134590864181519*exp(-0.82609302165013783*x0**2),127,49.0,13.0,39.0,8.0,47.0,12.0,32.0,7.0,13.0,7.0 +pagie,128,Operon,Operon,9,1,kept,((-0.0000084446337496) + (1.0000045299530029 * ((((exp(((1.8677622079849243 * x1) * ((-3.2215218544006348) * x1))) + exp(((4.2088832855224609 * x0) * ((-1.4519027471542358) * x0)))) * 0.2748067975044250) - ((exp(((0.5492876768112183 * x1) * ((-1.6836870908737183) * x1))) + exp(((1.3932512998580933 * x0) * ((-0.6629599928855896) * x0)))) * 1.2524310350418091)) + 1.9792671203613281))),1.9792676417146139 + 0.27480804236630257*exp(-6.0170367718470175*x1**2) - 1.2524367084955372*exp(-0.92482857062306332*x1**2) + 0.27480804236630257*exp(-6.1108892047016068*x0**2) - 1.2524367084955372*exp(-0.92366987184176*x0**2),128,45.0,13.0,33.0,7.0,45.0,13.0,29.0,7.0,13.0,7.0 +pagie,129,Operon,Operon,10,1,kept,(0.0000002913372725 + (1.0000000000000000 * ((1.0092900991439819 / ((((-9.8911437988281250) * x0) * ((-0.0619828216731548) * x0)) - exp((((-5.2376017570495605) * x0) * ((-0.1814788132905960) * x0))))) + ((2.9227268695831299 / ((-1.9528466463088989) - exp((((-1044.4626464843750000) * x1) * ((-0.0013573808828369) * x1))))) + (((241.8676300048828125 * x1) * (0.0000091869978860 * x1)) - (-1.9428678750991821)))))),0.002222037405546688681*x1**2 + 1.9428681664364546 - 2.9227268695831299/(exp(1.4177336291751259086*x1**2) + 1.9528466463088989) + 1.0092900991439819/(0.61308100222629464*x0**2 - exp(0.95051375135809475*x0**2)),129,43.0,13.0,33.0,8.0,33.0,8.0,29.0,8.0,14.0,8.0 +pagie,130,Operon,Operon,11,1,kept,((-0.0000135196241899) + (1.0000069141387939 * ((1.2255471944808960 * exp(((-1.7740323543548584) * exp(((2.9035081863403320 * x1) * ((-0.4098204970359802) * x1)))))) - ((1.2498761415481567 * exp(((0.1515025645494461 * x0) * ((-6.0828857421875000) * x0)))) + ((-0.7505750060081482) - (0.2749604582786560 * exp(((1.1432402133941650 * x0) * ((-5.4770793914794922) * x0))))))))),0.75056667596372507 + 1.2255556680842971*exp(-1.7740323543548584*exp(-1.1899171680740323*x1**2)) + 0.27496235939342737*exp(-6.261617412291798*x0**2) - 1.2498847833652745*exp(-0.92157278980266706*x0**2),130,41.0,13.0,31.0,8.0,39.0,12.0,28.0,8.0,13.0,8.0 +pagie,131,Operon,Operon,12,1,kept,((-0.0001345924683847) + (1.0000907182693481 * (((0.0052004987373948 * x0) * ((-5.5132131576538086) * x0)) - (log((((-29.4069671630859375) * x1) * (((-0.0669591948390007) + (((7.1831178665161133 * x0) * ((-12.8945026397705078) * x0)) * (((-0.0048121302388608) * x0) * ((-3.7251195907592773) * x0)))) * (11.7470531463623047 * x1)))) * ((-0.1758960038423538) + ((5.9699630737304688 * x1) * (0.0000638487472315 * x1))))))),-0.028674059090422408*x0**2 - 1.0000907182693481*(0.0003811746632760055*x1**2 - 0.1758960038423538)*log(x1**2*(573.554050429521172*x0**4 + 23.1307328639999089)) - 0.0001345924683847,131,48.0,14.0,32.0,6.0,32.0,8.0,24.0,6.0,14.0,6.0 +pagie,132,Operon,Operon,13,1,kept,((-0.0000847672417876) + (1.0000656843185425 * ((exp((((-1.8279364109039307) * x1) * (2.2386462688446045 * x1))) - ((-1.5547065734863281) + ((-1.6497515439987183) / exp(exp(((0.0022635490167886 * x0) * ((-443.1721801757812500) * x0))))))) - exp(exp(((-1.6148645877838135) + exp((0.5693863630294800 + ((0.0016070556594059 * x1) * ((-348.2632751464843750) * x1)))))))))),-1.0000656843185425*exp(0.19891760449084139*exp(1.767182310249908*exp(-0.5596784672873918045*x1**2))) + 1.5547239260863535 + 1.6498599068046503*exp(-exp(-1.003141952704949999*x0**2)) + 1.0000656843185425*exp(-4.0921030259552823*x1**2),132,41.0,12.0,35.0,9.0,45.0,14.0,32.0,9.0,12.0,8.0 +pagie,133,Operon,Operon,14,1,kept,(0.0049303476698697 + (0.9968529939651489 * ((((exp((((-0.1228989660739899) * x1) * (28.5782623291015625 * x1))) - (0.0001418351894245 * x0)) - exp((((-0.9014899730682373) * x1) * (0.9040312170982361 * x1)))) - exp((((-0.1503573954105377) * x1) * (16.6330261230468750 * x1)))) + (((-1.0727374553680420) * exp((((-0.1865450739860535) * x0) * (4.1227397918701172 * x0)))) - (-1.9877362251281738))))),-0.0001413888332274268*x0 + 1.986411154901873 + 0.9968529939651489*exp(-3.51223889243783649*x1**2) - 0.9968529939651489*exp(-2.50089848565676186*x1**2) - 0.9968529939651489*exp(-0.814975077554734653*x1**2) - 1.069361544122188*exp(-0.76907679949965783*x0**2),133,47.0,13.0,37.0,8.0,51.0,15.0,33.0,8.0,13.0,8.0 +pagie,134,Operon,Operon,15,1,kept,((-0.0000022516087483) + (1.0000016689300537 * (((((51.6682472229003906 * x0) * ((-0.0001894439337775) * x0)) + 2.5324115753173828) + ((-46.3591499328613281) / (((13.0968494415283203 * x0) * (2.1884925365447998 * x0)) + 34.0089225769042969))) + (((-1351.7908935546875000) / (((17.2840843200683594 * x1) * (47.4518127441406250 * x1)) + 990.7814331054687500)) + ((0.0012052881065756 * x1) * ((-8.2380609512329102) * x1)))))),-0.00978825234117588218*x0**2 - 0.0099292534569677497*x1**2 + 2.5324135501264209 - 1351.7931495991360721/(820.161132609820926*x1**2 + 990.78143310546875) - 46.3592273030399151/(28.6623572550356584*x0**2 + 34.0089225769042969),134,45.0,15.0,29.0,7.0,35.0,10.0,25.0,7.0,15.0,7.0 +pagie,135,Operon,Operon,16,1,kept,(0.0071523520164192 + (0.9955711960792542 * (((exp(((0.0195227134972811 * x1) * ((-151.1385955810546875) * x1))) * ((396057.1250000000000000 * x1) * ((-0.0000024948039936) * x1))) + ((85.4024658203125000 * x1) / ((43.1343650817871094 * x1) - (((-47.3760452270507812) * x1) * exp(((0.9379857182502747 * x0) * ((-1.2238332033157349) * x0))))))) - exp(((185448.0000000000000000 * x1) * ((-0.0000044009234443) * x1)))))),-0.9837088628772344519805*x1**2*exp(-2.950635499910365785*x1**2) + 85.0242350448461413*x1/(43.1343650817871094*x1 + 47.3760452270507812*x1*exp(-1.1479380662306441*x0**2)) + 0.0071523520164192 - 0.9955711960792542*exp(-0.816142450898546401501*x1**2),135,50.0,13.0,38.0,8.0,50.0,13.0,34.0,8.0,13.0,8.0 +pagie,136,Operon,Operon,17,1,kept,(0.0005329695995897 + (0.9996598958969116 * (((2.9738872051239014 + exp(((100.4859924316406250 * x1) * ((-0.0308157186955214) * x1)))) - ((((0.7702111005783081 * x0) * (1.5427883863449097 * x0)) + 1.0054689645767212) * exp((((-1.7126119136810303) * x0) * (0.8499408960342407 * x0))))) - exp(exp((((100.9902267456054688 * x1) * ((-0.0091333612799644) * x1)) + 0.0902468413114548)))))),-1.1878686045713406*x0**2*exp(-1.4556189044729706*x0**2) - 0.9996598958969116*exp(1.09444440445747*exp(-0.9223802266131381654*x1**2)) + 2.9734087434829063 + 0.9996598958969116*exp(-3.096548075613729891*x1**2) - 1.0051270004563406*exp(-1.4556189044729706*x0**2),136,45.0,13.0,37.0,9.0,54.0,15.0,31.0,8.0,13.0,8.0 +pagie,137,Operon,Operon,18,1,kept,(0.0000816054744064 + (1.0001157522201538 * (((((-0.0021946807391942) * x0) * (13.7494821548461914 * x0)) + (-8.4071483612060547)) + ((log((((6955.1982421875000000 * x1) * (16.8089103698730469 * x1)) + 27880.0878906250000000)) + log((((85251.5703125000000000 * x0) * (3.5084772109985352 * x0)) + 63949.3125000000000000))) * (((1.2129596471786499 * x1) * ((-0.0008703975472599) * x1)) + 0.3835373818874359))))),-0.0301792165661435915*x0**2 - 1.0001157522201538*(0.0010557571018295306*x1**2 - 0.3835373818874359)*(log(299103.191643245522053*x0**2 + 63949.3125) + log(116909.30385762825625*x1**2 + 27880.087890625)) - 8.4080399018196203,137,45.0,14.0,31.0,7.0,37.0,10.0,27.0,7.0,14.0,7.0 +pagie,138,Operon,Operon,19,1,kept,((-0.0000098704376796) + (1.0000013113021851 * ((exp(exp(((-0.1284630000591278) - exp((((-1.7482314109802246) * x0) * (0.6576864719390869 * x0)))))) - exp((0.2162327617406845 + (((-0.0238646697252989) * x1) * (38.5694580078125000 * x1))))) - exp((((-0.9399499893188477) - exp(((1.4266452789306641 * x1) * ((-5.3529791831970215) * x1)))) * 0.8908159136772156))))),1.0000013113021851*exp(0.8794461012701917*exp(-exp(-1.1497881488206758*x0**2))) - 9.8704376796e-6 - 0.4328685844136254*exp(-0.8908159136772156*exp(-7.6368024799221532*x1**2)) - 1.24139292161274*exp(-0.92044737684023015*x1**2),138,41.0,12.0,35.0,9.0,45.0,14.0,34.0,10.0,12.0,9.0 +pagie,139,Operon,Operon,20,1,kept,((-0.0000002506655221) + (1.0000001192092896 * (((((-0.0002352308656555) * x0) + 1.9712915420532227) - (exp((((-0.0005102988216095) * x1) * (2861.8625488281250000 * x1))) * (1.0045522451400757 + ((0.0003667365817819 * x1) * (3236.1384277343750000 * x1))))) + (exp((((-0.0249317195266485) * x0) * (58.4497108459472656 * x0))) * ((-1.0050251483917236) + (((-0.0338098518550396) * x0) * (35.2732009887695312 * x0))))))),-1.1925818420501513*x0**2*exp(-1.45725179722486209*x0**2) - 0.0002352308936972044*x0 - 1.1868104866391750118*x1**2*exp(-1.4604050862753523738*x1**2) + 1.9712915263839649 - 1.0045523648920352*exp(-1.4604050862753523738*x1**2) - 1.0050252682000576*exp(-1.45725179722486209*x0**2),139,47.0,14.0,37.0,9.0,59.0,15.0,31.0,8.0,14.0,8.0 +pagie,140,Operon,Operon,21,1,kept,(0.0056000440381467 + (0.9965137243270874 * ((0.7391300201416016 + (exp((((-26.2499160766601562) * x1) * (0.1143757924437523 * x1))) * (((-49.5787200927734375) * x1) * (0.0202242378145456 * x1)))) - (exp(((2.2524499893188477 * x1) * ((-0.3599792122840881) * x1))) + (exp((exp((((-0.7799134254455566) * x0) * (1.5038967132568359 * x0))) * (-1.7264224290847778))) * (-1.2398984432220459)))))),-0.999196165577684391*x1**2*exp(-3.00235495284999869*x1**2) + 0.7421532531714092 + 1.2355758154425587*exp(-1.7264224290847778*exp(-1.1729092371524529*x0**2)) - 0.9965137243270874*exp(-0.810835172864301451*x1**2),140,45.0,13.0,37.0,9.0,45.0,13.0,31.0,8.0,13.0,8.0 +pagie,141,Operon,Operon,22,1,kept,(0.0059260418638587 + (0.9963514208793640 * (((1.9877398014068604 + ((((-0.0255243461579084) * x1) * (39.2693595886230469 * x1)) * exp((((-0.0006980864563957) * x1) * (4245.9946289062500000 * x1))))) - exp((((-0.0209862142801285) * x1) * (38.7934265136718750 * x1)))) - exp((exp((-2.6416935920715332)) + ((0.0101619474589825 * x0) * ((-75.6802444458007812) * x0))))))),-0.998667666466396711*x1**2*exp(-2.9640713443683392264*x1**2) + 1.9864134173340489 - 0.996351420879364*exp(-0.81412716147633626667*x1**2) - 1.0699214810013096*exp(-0.769058667741179754*x0**2),141,42.0,12.0,34.0,8.0,40.0,11.0,28.0,7.0,12.0,7.0 +pagie,142,Operon,Operon,23,1,kept,(0.0007810645620339 + (0.9995014071464539 * (((((-1.0057448148727417) + ((0.7655488848686218 * x0) * ((-1.5458080768585205) * x0))) * exp(((0.4586827158927917 * x0) * ((-3.1686115264892578) * x0)))) + (2.9749636650085449 + exp(((-0.3110347986221313) + ((3.0109248161315918 * x1) * ((-1.1550782918930054) * x1)))))) - exp(exp(((23.0867309570312500 * x1) * ((-0.0377156287431717) * x1))))))),-1.1828016188405823*x0**2*exp(-1.4533873405792973*x0**2) - 0.9995014071464539*exp(exp(-0.870730573668879675*x1**2)) + 2.9742614339476462 + 0.7323230656900827*exp(-3.4778538936355404*x1**2) - 1.0052433576955551*exp(-1.4533873405792973*x0**2),142,45.0,13.0,37.0,9.0,52.0,14.0,31.0,8.0,13.0,8.0 +pagie,143,Operon,Operon,24,1,kept,(0.0049892361275852 + (0.9968150258064270 * (exp(((-0.7375680804252625) / (exp((((-7.8003888130187988) * x1) * ((-0.0912654846906662) * x1))) - 0.9434194564819336))) - (exp(((((-11.2235412597656250) * x0) * (0.0819300860166550 * x0)) - (exp(((((-56.8530616760253906) * x0) * (0.1006406396627426 * x0)) - 1.4147840738296509)) - 0.2206120193004608))) - 0.9837305545806885)))),-1.242868435105807*exp(-0.919545700824074031*x0**2 - 0.24297807310963717*exp(-5.72172849386055215*x0**2)) + 0.985586634278505 + 0.996815025806427*exp(-0.7375680804252625/(exp(0.71190626579581106*x1**2) - 0.9434194564819336)),143,41.0,13.0,33.0,9.0,41.0,13.0,30.0,9.0,13.0,9.0 +pagie,144,Operon,Operon,25,1,kept,((-0.0000055456266637) + (1.0000027418136597 * ((((exp((((-4.2250251770019531) * x1) * (1.4258037805557251 * x1))) + exp((((-1.1716369390487671) * x0) * (5.2204809188842773 * x0)))) * 0.2746707499027252) - (-1.9792732000350952)) - ((exp((((-1.7990413904190063) * x1) * (0.5140095949172974 * x1))) + exp(((1.8088867664337158 * x0) * ((-0.5105684995651245) * x0)))) * 1.2522673606872559)))),1.9792730812067276 + 0.2746715029987392*exp(-6.0240568703125063*x1**2) - 1.252270794171011*exp(-0.92472453632872492*x1**2) + 0.2746715029987392*exp(-6.1165082841640697*x0**2) - 1.252270794171011*exp(-0.92356060222127209*x0**2),144,45.0,13.0,33.0,7.0,45.0,13.0,29.0,7.0,13.0,7.0 +pagie,145,Operon,Operon,26,1,kept,((-0.0001599656243343) + (1.0001020431518555 * ((exp(((25.9337768554687500 * x1) * ((-0.1575351804494858) * x1))) - (exp(exp(exp(((17.7164573669433594 * x1) * ((-0.0314616635441780) * x1))))) * 0.1594999134540558)) - ((-1.1739871501922607) - (exp((exp((((-0.3572374880313873) * x0) * (3.2828271389007568 * x0))) * (-1.7236351966857910))) * 1.2407730817794800))))),-0.15951618932794533*exp(exp(exp(-0.557389220873545688*x1**2))) + 1.1739469819169699 + 1.2408996941754822*exp(-1.723635196685791*exp(-1.1727489207421725*x0**2)) + 1.0001020431518555*exp(-4.08548221666296794*x1**2),145,41.0,12.0,33.0,8.0,43.0,13.0,30.0,8.0,12.0,8.0 +pagie,146,Operon,Operon,27,1,kept,((-0.0639297738671303) + (1.0392827987670898 * ((1.9780735969543457 + ((exp((((-2.4385366439819336) * x1) * (2.2576689720153809 * x1))) * ((((-10.0973072052001953) * x1) * (391.6708374023437500 * x1)) * (((-0.0011133030056953) * x1) * ((-1.3449389934539795) * x1)))) - exp((((-1.7093311548233032) * x1) * (0.4650919437408447 * x1))))) - exp((((-1.2320897579193115) * x0) * (0.5889392495155334 * x0)))))),-6.154269525587394387*x1**4*exp(-5.5054085182405289*x1**2) + 1.9918480901428665 - 1.0392827987670898*exp(-0.79499614929355283*x1**2) - 1.0392827987670898*exp(-0.72562601736477455*x0**2),146,48.0,13.0,36.0,7.0,40.0,11.0,26.0,6.0,13.0,6.0 +pagie,147,Operon,Operon,28,1,kept,((-0.0000072608104347) + (1.0000052452087402 * (((-1.2524669170379639) * (exp((((-0.8438813686370850) * x0) * (1.0945762395858765 * x0))) + (exp((((-0.6344506740570068) * x1) * (1.4577195644378662 * x1))) + (-1.5802922248840332)))) + (0.2748360037803650 * (exp(((19.0184898376464844 * x0) * ((-0.3212499320507050) * x0))) + exp((((-0.8187244534492493) * x1) * (7.3472332954406738 * x1)))))))),1.9792668517605557 + 0.27483744535257415*exp(-6.0153595641737924*x1**2) - 1.252473486488384*exp(-0.92485116024369056*x1**2) + 0.27483744535257415*exp(-6.10968856805095664*x0**2) - 1.252473486488384*exp(-0.92369249513936332*x0**2),147,45.0,13.0,33.0,7.0,45.0,13.0,29.0,7.0,13.0,7.0 +pagie,148,Operon,Operon,29,1,kept,((-0.0000072977472882) + (1.0000039339065552 * ((0.2748106420040131 * (exp(((0.8403434157371521 * x1) * ((-7.1597433090209961) * x1))) + exp(((2.1294348239898682 * x0) * ((-2.8703227043151855) * x0))))) - ((-1.9792662858963013) + (1.2524309158325195 * (exp(((1.7403106689453125 * x1) * ((-0.5314179658889771) * x1))) + exp(((0.6934723854064941 * x0) * ((-1.3319598436355591) * x0))))))))),1.9792667743976297 + 0.27481172308339912*exp(-6.016643148103924*x1**2) - 1.2524358427787092*exp(-0.92483235570580301*x1**2) + 0.27481172308339912*exp(-6.1121651226575295*x0**2) - 1.2524358427787092*exp(-0.92367737003161206*x0**2),148,45.0,13.0,33.0,7.0,45.0,13.0,29.0,7.0,13.0,7.0 +pagie,149,Operon,Operon,30,1,kept,((-0.0166908428072929) + (1.0103557109832764 * ((-1.0929064750671387) * ((((-1.8171284198760986) + exp(((0.4634887576103210 * x0) * ((-1.7064006328582764) * x0)))) + ((exp((((-0.0545985996723175) * x1) * (290.8274841308593750 * x1))) + exp((((-6.8895225524902344) * x0) * (4.0632553100585938 * x0)))) * (-0.0849393755197525))) + exp((((-0.0165483560413122) * x1) * (47.9090309143066406 * x1))))))),1.9898265121958887 + 0.093792122361465658*exp(-15.87877337976806101*x1**2) - 1.1042242986546854*exp(-0.7928157011641792664*x1**2) + 0.093792122361465658*exp(-27.993889095174382*x0**2) - 1.1042242986546854*exp(-0.79089750930894803*x0**2),149,45.0,13.0,33.0,7.0,45.0,13.0,33.0,7.0,13.0,7.0 +pagie,150,SBP,SBP,1,1,kept,0.004376-0.000000*((((exp(4.787000)+((exp(x1)-exp(((x0-(x0*x0))+(15.039000-x1))))*x1))*15.260000)*(exp(x0)*x1))),0.00437600000000000,150,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,5.0,2.0 +pagie,151,SBP,SBP,2,1,kept,0.166642-0.018385*(((((x0*x1)+((((-5.488000+x1)*(x1+0.546000))+x1)*x1))+(x0*x0))+exp((-13.828000*x0)))),-0.018385*x0**2 - 0.018385*x0*x1 - 0.018385*x1**3 + 0.07247367*x1**2 + 0.05508969648*x1 + 0.166642 - 0.018385*exp(-13.828*x0),151,30.0,6.0,26.0,5.0,40.0,10.0,27.0,5.0,5.0,2.0 +pagie,152,SBP,SBP,3,1,kept,0.084583-0.012464*((((exp(x1)-(x0*(x1-1.179000)))+x1)+(x1*((-17.342000-(x0*(x1-3.045000)))+(x0*x0))))),0.012464*x0*(x1 - 1.179) + 0.012464*x1*(-x0**2 + x0*(x1 - 3.045) + 17.342) - 0.012464*x1 - 0.012464*exp(x1) + 0.084583,152,28.0,5.0,26.0,5.0,36.0,9.0,25.0,5.0,5.0,5.0 +pagie,153,SBP,SBP,4,1,kept,-0.000465+0.164361*(exp((x0*(2.011000-x0)))),0.164361*exp(-x0**2 + 2.011*x0) - 0.000465,153,10.0,3.0,10.0,3.0,14.0,4.0,11.0,3.0,3.0,3.0 +pagie,154,SBP,SBP,5,1,kept,0.018176+0.001712*((((((-8.935000*x0)+18.954000)*((x0*(x0-5.120000))*(x0-4.881000)))+x1)-((x1*18.328000)*(x1-4.881000)))),-0.001712*x0*(x0 - 5.12)*(x0 - 4.881)*(8.935*x0 - 18.954) - 0.031377536*x1*(x1 - 4.881) + 0.001712*x1 + 0.018176,154,31.0,9.0,29.0,8.0,33.0,10.0,25.0,7.0,8.0,7.0 +pagie,155,SBP,SBP,6,1,kept,0.012711-0.000000*((x1-(((16.817000*((16.817000*x1)-exp(x1)))-exp(x1))*exp(((19.315000-x0)*(17.099000+x0)))))),0.0127110000000000,155,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,6.0,1.0 +pagie,156,SBP,SBP,7,1,kept,0.112902-0.007452*(((((x0*(x1*x0))+((((x0-x1)+x0)*x0)+(x1*(-20.819000))))-(x0-exp(x1)))+x1)),-0.007452*x0**2*x1 - 0.007452*x0*(2*x0 - x1) + 0.007452*x0 + 0.147691188*x1 - 0.007452*exp(x1) + 0.112902,156,28.0,3.0,24.0,3.0,34.0,8.0,25.0,4.0,3.0,3.0 +pagie,157,SBP,SBP,8,1,kept,0.230781+0.006661*((((x1*x1)*(x0-x1))-((((x0*x0)-(19.670000+x0))+4.294000)*((x1+x0)-(x0*x0))))),0.006661*x1**2*(x0 - x1) + 0.006661*(-x0**2 + x0 + 15.376)*(-x0**2 + x0 + x1) + 0.230781,157,29.0,4.0,27.0,3.0,33.0,6.0,24.0,3.0,4.0,3.0 +pagie,158,SBP,SBP,9,1,kept,-0.135470+0.008287*((((x1*15.772000)-exp(x1))+exp(((x0-(9.538000-(4.169000-((x0*x0)-((x0+8.367000)+x1)))))-x1)))),0.130702564*x1 - 0.008287*exp(x1) + 0.16611627946936*exp(-x0**2 + 2*x0) - 0.13547,158,29.0,6.0,25.0,4.0,23.0,6.0,20.0,5.0,6.0,4.0 +pagie,159,SBP,SBP,10,1,kept,0.154306-0.001732*((((-20.410000+(((exp(11.767000)*(x0+(x0+(x0+x1))))*(-1.883000+x0))*exp((-7.374000-x0))))*x0)-x1)),(-0.001732*x0*(0.000627353738614736*(x0 - 1.883)*(386780.368892305*x0 + 128926.789630768*x1) - 20.41*exp(x0)) + (0.001732*x1 + 0.154306)*exp(x0))*exp(-x0),159,28.0,6.0,28.0,6.0,38.0,10.0,32.0,7.0,6.0,5.0 +pagie,160,SBP,SBP,11,1,kept,-0.056784-0.009562*((((-18.680000-((x0+(((x0+x0)-(x0*x0))-16.065000))+x0))+x0)*((x1+8.713000)-(x0*x0)))),0.009562*(-x0**2 + 3*x0 + 2.615)*(-x0**2 + x1 + 8.713) - 0.056784,160,29.0,5.0,23.0,4.0,25.0,7.0,19.0,5.0,5.0,4.0 +pagie,161,SBP,SBP,12,1,kept,0.667683-0.006309*((((x0*x0)-(x0-exp(exp((exp(((exp(x1)+0.069000)-x1))*(-0.069000))))))*((-6.657000+x0)*(-6.908000+x0)))),-0.006309*(x0 - 6.908)*(x0 - 6.657)*(x0**2 - x0 + exp(exp(-0.0739290984312359*exp(-x1 + exp(x1))))) + 0.667683,161,29.0,6.0,29.0,6.0,33.0,8.0,26.0,5.0,6.0,5.0 +pagie,162,SBP,SBP,13,0,paper_manual_drop,0.103875+0.010630*((exp(x0)-((exp(x1)+(((x0+x1)-(x0*x0))*(-7.894000)))+(((x1*(-7.894000))-(2.824000*x0))+x1)))),-0.08391322*x0**2 + 0.11393234*x0 + 0.15719644*x1 + 0.01063*exp(x0) - 0.01063*exp(x1) + 0.103875,162,29.0,5.0,27.0,4.0,27.0,7.0,22.0,5.0,5.0,5.0 +pagie,163,SBP,SBP,14,1,kept,0.001352+0.001458*((exp(((x0+(x0+2.705000))-(x0*x0)))*((exp(-11.964000)-(((x1+x1)-10.429000)*x1))-x1))),(-0.021803393734787*x1*(2*x1 - 10.429) - 0.021803393734787*x1 + 0.001352*exp(x0*(x0 - 2)) + 1.38875269916455e-7)*exp(x0*(2 - x0)),163,26.0,5.0,26.0,5.0,33.0,9.0,25.0,6.0,5.0,4.0 +pagie,164,SBP,SBP,15,1,kept,1.139001+0.010850*(((((x0*x0)-(-6.659000+x0))*(-12.488000+x0))-((13.571000-(exp(x0)-x0))-((x1*14.814000)-exp(x1))))),0.01085*x0**3 - 0.1463448*x0**2 + 0.19689495*x0 + 0.1607319*x1 + 0.01085*exp(x0) - 0.01085*exp(x1) + 0.0894957768,164,29.0,6.0,27.0,5.0,31.0,7.0,25.0,5.0,6.0,5.0 +pagie,165,SBP,SBP,16,1,kept,0.040499-0.003093*((x0-exp((((((((exp(1.871000)-1.708000)+(x1*(-1.785000)))+x1)*x1)+(x0-x1))-(x0*x0))+x0)))),-0.003093*x0 + 0.003093*exp(-x0**2 + 2*x0 - 0.785*x1**2 + 3.78678794091585*x1) + 0.040499,165,26.0,4.0,26.0,4.0,30.0,8.0,22.0,5.0,5.0,4.0 +pagie,166,SBP,SBP,17,1,kept,-0.065845-0.048266*(((x0-(x1+x1))-(x1+((x1+(x1+((3.579000-x0)*((3.247000-x0)*x0))))-(x1*x1))))),0.048266*x0*(x0 - 3.579)*(x0 - 3.247) - 0.048266*x0 - 0.048266*x1**2 + 0.24133*x1 - 0.065845,166,29.0,4.0,29.0,4.0,27.0,7.0,22.0,5.0,4.0,4.0 +pagie,167,SBP,SBP,18,1,kept,-8343620.960004+0.024527*((x0-((x0*x0)+(((20.791000-(x0-(x1*x0)))+((x1*x1)*(x1-4.494000)))-exp(19.645000))))),-0.024527*x0**2 - 0.024527*x0*x1 + 0.049054*x0 + x1**2*(0.110224338 - 0.024527*x1) + 94.8131869230419,167,27.0,5.0,21.0,3.0,29.0,7.0,19.0,4.0,5.0,3.0 +pagie,168,SBP,SBP,19,1,kept,0.012782+0.160826*((exp(((x0*x0)-exp(x0)))*((x0-(((-13.585000-x0)+exp((2.825000-(x1*x1))))*x0))+2.825000))),((0.160826*x0*((x0 + 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2.216379564*x0*x1*(0.002577416956*x0**2*x1 - 0.7286*x1) + 0.05*x0*(8.52657505513197*x0**2 + 6.16952492668622*x0) + 4.61*x0*(0.380961181229167*x0*x1 + 0.824043041427083*x0) + 0.01490058519552*x1**4 - 0.31274*x1*(-0.2856*x0 + 0.25812216*x1**2) - 5.769885*x1 + 18.520268*(-0.1998*x0 + 0.04*x1)*(0.02911776*x0 + 0.00021168*x1) - 21.7795,61,239.0,69.0,125.0,24.0,165.0,37.0,112.0,24.0,69.0,15.0 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0.051056*x1**2 + 64.132562*x1*(0.11908184*x0 + 0.06604384*x1)*(0.0363178*x0 + 0.004637442791488*x1**2 + 0.00612940488*x1) + 0.065872*x1 + 0.68*(0.06537609*x0 - 0.06338241*x1)*(-0.04956112*x0**2 + 0.8282*x0)*(0.199297988048168*x0**2 + 0.096280154052356*x1**2) - 420.113,62,221.0,63.0,109.0,23.0,161.0,34.0,104.0,22.0,63.0,19.0 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0.3442*x1*(0.12634837472*x0*x1 - 0.1447599*x1)) + 0.3221137816*x0*x1**2 - 2.860315*x0 + 1.16145*x1*(0.1822155*x0 + 0.15907615*x1) + 0.18*x1 + 22.41*(0.7561*x0 + 0.6847*x1)*(0.1572291*x1 - 0.1257039*(0.878*x0 + 0.1994*x1)*(0.063137957064*x0*x1 + 0.42971838*x0))*(0.12211570416688*x1**2 - 0.1447599*x1) - 9.09*(0.7561*x0 + 0.6847*x1)*(0.27904905*x1 - 0.1989603*(0.42971838*x0 + 0.37096332*x1)*(0.878*x0 + 0.1994*x1))*(0.1725128*x1*(0.26132032*x0 - 0.21928056*x1) - 0.1447599*x1) + 0.321159,63,263.0,76.0,141.0,30.0,185.0,45.0,127.0,28.0,76.0,22.0 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0.05310385389288*x1**3*(0.4384*x0 + 0.5905*x1) - 0.0438371424*x1**3 - 0.154269306*x1**2 + 0.9485639424*x1 + 0.310671,64,213.0,60.0,107.0,21.0,121.0,25.0,85.0,19.0,60.0,16.0 +kotanchek,65,FEAT,FEAT,6,0,drop_feat,0.289841-407252.69*(0.0074*(0.1404*(0.1791*x0*(0.1901*x0*x0))*x0)*(0.0069*(0.4026*x0+0.0270*x1)*(0.3683*x0*x1)))+4301.88*(0.0069*(0.0640*x0*x1)*(0.0306*x1+0.1079*(0.3683*x0*x1)))-648.64*(0.0069*(0.7977*(0.4427*x1+0.3851*x0)-0.7927*x1)*(0.2139*x1*x1))-313.72*(0.1836*(0.2647*(0.2254*x1-0.2190*x0)*x1)*(0.0306*x1+0.1079*(0.3683*(0.5782*x1*x1)*x1)))-218.19*(0.0074*(0.1404*x0*x0)*(0.2439*(0.3330*x0-0.8432*x1)*(0.3330*x0-0.8432*x1)))+155.47*(0.0074*(0.1404*x0*x0)*x0)+41.86*(0.0069*(0.3665*(0.6915*x1+0.6368*x0)*x1)*(0.3683*x1*x1))-1.23*(0.3503*x0+0.4008*(0.5782*x1*x1))+0.52*(0.2723*(0.7396*x0-0.5930*x1)*(0.9178*x0-0.5519*x1))+0.16*x1,-5.30569414396523*x0**5*x1*(0.00277794*x0 + 0.0001863*x1) + 0.1615271112*x0**3 - 0.2266906824*x0**2*(0.0812187*x0 - 0.20565648*x1)*(0.333*x0 - 0.8432*x1) + 1.899710208*x0*x1*(0.03973957*x0*x1 + 0.0306*x1) - 0.430869*x0 + 0.1063775622*x1**3*(0.2333872*x0 + 0.25343475*x1) - 138.744096*x1**2*(0.002119640463*x0 - 0.003032951649*x1) - 0.2850433488*x1**2 - 57.598992*x1*(-0.0579693*x0 + 0.05966338*x1)*(0.022977419374*x1**3 + 0.0306*x1) + 0.16*x1 + 0.52*(0.20139308*x0 - 0.1614739*x1)*(0.9178*x0 - 0.5519*x1) + 0.289841,65,213.0,60.0,121.0,25.0,147.0,34.0,109.0,22.0,60.0,18.0 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0.74743,66,195.0,56.0,87.0,18.0,109.0,23.0,73.0,16.0,56.0,14.0 +kotanchek,67,FEAT,FEAT,8,0,drop_feat,0.291669-25313.94*(0.1133*(0.0004*(0.2681*x0*x0)*x0)*(0.1300*x0*x0))-13321.93*(0.1133*(0.0004*(0.5083*x1-0.2322*x0)*x0)*(0.1300*x0*x0))+198.05*(0.4790*(0.0883*x1*x1)*(0.3457*x0+0.0242*(0.1064*x1*(0.0934*(0.0883*x1*x1)+0.4695*x1))))+33.39*(0.0538*(0.6208*(0.0822*x0+0.8086*(0.1300*x0*x0))+0.3639*x1)*(0.5895*x0+0.0968*(0.4790*(0.0883*x1*x1)*x0)))-32.98*(0.2845*(0.6226*x0-0.0279*(0.3766*x1*x0))*(0.1276*(0.1768*x1*x0)*x0))+6.40*(0.1761*x0*(0.2681*x0*x0))+4.81*(0.5586*(0.1803*x1-0.2948*x0)-0.2993*(0.1618*x0-0.2753*x0))-2.57*(0.4790*(0.0883*(0.2638*x1+0.7304*x0)*x1)*(0.6208*x0+0.3639*(0.7328*x1+0.9303*x1)))-1.98*(0.3123*x1+0.1391*(0.3766*x1*x0))-1.83*(0.0883*x1*x1),-0.0399843291471624*x0**5 - 196.21870697*x0**3*(-9.288e-5*x0 + 0.00020332*x1) + 0.302159424*x0**3 - 0.7440182464*x0**2*x1*(-0.00298928133*x0*x1 + 0.1771297*x0) - 0.1037224188*x0*x1 - 0.6286897513*x0 + 8.376663385*x1**2*(0.3457*x0 + 0.00257488*x1*(0.00824722*x1**2 + 0.4695*x1)) - 0.161589*x1**2 - 1.23103*x1*(0.06449432*x0 + 0.02329354*x1)*(0.6208*x0 + 0.60520209*x1) - 0.1339120602*x1 + 33.39*(0.00409422376*x0*x1**2 + 0.5895*x0)*(0.00351084028672*x0**2 + 0.002745401088*x0 + 0.01957782*x1) + 0.291669,67,225.0,64.0,117.0,22.0,143.0,32.0,103.0,21.0,64.0,18.0 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* (((-0.4060201048851013) * x0) + 0.8120366930961609)) - ((((-0.8767948746681213) * x1) / (((-0.3692416250705719) * x1) + exp((0.4968747496604919 * x1)))) + (0.7100588083267212 * x1))) - exp(((1.4052648544311523 - exp((0.1799458712339401 * x1))) * exp(exp((0.2937204837799072 * x1))))))))),0.9999927282333374*exp(-2.4630110263824463*x0*(0.4060201048851013*x0 - 0.8120366930961609) - 0.7100588083267212*x1 - 0.8767948746681213*x1/(0.3692416250705719*x1 - exp(0.4968747496604919*x1)) - exp(-(exp(0.1799458712339401*x1) - 1.4052648544311523)*exp(exp(0.2937204837799072*x1)))) + 3.4507245346e-6,128,45.0,12.0,41.0,11.0,49.0,14.0,41.0,11.0,12.0,11.0 +kotanchek,129,Operon,Operon,10,1,kept,((-0.0019379730802029) + (1.0046592950820923 * ((((996.6720581054687500 + ((-386.7166748046875000) * x0)) + exp((1.7618920803070068 * x0))) - (((1074.8041992187500000 * x0) + 882.8044433593750000) * exp(((-1.9537824392318726) * x0)))) / (((((-15.7029571533203125) * x1) * ((-22.8576602935791016) * x1)) + 2638.8918457031250000) + (exp((2.8161077499389648 * x0)) - (1794.9840087890625000 * x1)))))),(-1079.8120291383820754*x0 + (-388.518501905768068*x0 + 1.0046592950820923*exp(1.7618920803070068*x0) + 1001.315847324258372)*exp(1.9537824392318726*x0) + (-0.695602220697333891*x1**2 + 3.4786306884278888622*x1 - 0.0019379730802029*exp(2.8161077499389648*x0) - 5.1141013585396011999)*exp(1.9537824392318726*x0) - 886.917689760768567)*exp(-1.9537824392318726*x0)/(358.932860215223628*x1**2 - 1794.9840087890625*x1 + exp(2.8161077499389648*x0) + 2638.891845703125),129,44.0,13.0,40.0,12.0,77.0,22.0,60.0,16.0,13.0,12.0 +kotanchek,130,Operon,Operon,11,1,kept,(0.0006644097738899 + (0.9983761310577393 * ((((exp((0.3564732372760773 * x1)) * ((2.8750302791595459 * x1) + (-16.9938793182373047))) + (8.4957685470581055 + 8.5495948791503906)) + (3.2266986370086670 * x1)) / exp((((((-0.4841774106025696) * x0) + 0.9682721495628357) * ((-2.0647206306457520) * x0)) + ((0.0918822064995766 * x1) * ((3.7386786937713623 * x1) + (-3.2311415672302246)))))))),(3.2214589013059937*x1 + (2.8703616067811596*x1 - 16.9662834854038927)*exp(0.3564732372760773*x1) + 0.0006644097738899*exp(2.064720630645752*x0*(0.4841774106025696*x0 - 0.9682721495628357) + 0.0918822064995766*x1*(3.7386786937713623*x1 - 3.2311415672302246)) + 17.01768398993113)*exp(-2.064720630645752*x0*(0.4841774106025696*x0 - 0.9682721495628357) - 0.0918822064995766*x1*(3.7386786937713623*x1 - 3.2311415672302246)),130,41.0,13.0,37.0,11.0,62.0,19.0,52.0,14.0,13.0,10.0 +kotanchek,131,Operon,Operon,12,1,kept,((-0.0007296766270883) + (1.0011714696884155 * (((((-796.1662597656250000) * x0) - (-3327.3220214843750000)) + ((((-416.2025756835937500) * x0) + 5066.6352539062500000) / ((1.3030259609222412 * x0) - exp((0.6703483462333679 * x0))))) / (((-34525.6953125000000000) - exp((2.9498600959777832 * x0))) - ((((-0.1925518661737442) * x0) + ((-19.2132587432861328) * x1)) * (((-239.9505157470703125) * x1) + 1202.1625976562500000)))))),1.0011714696884155*(796.166259765625*x0 - 3327.322021484375 + (416.20257568359375*x0 - 5066.63525390625)/(1.3030259609222412*x0 - exp(0.6703483462333679*x0)))/((0.1925518661737442*x0 + 19.2132587432861328*x1)*(239.9505157470703125*x1 - 1202.16259765625) + exp(2.9498600959777832*x0) + 34525.6953125) - 0.0007296766270883,131,45.0,14.0,41.0,12.0,45.0,14.0,41.0,12.0,14.0,12.0 +kotanchek,132,Operon,Operon,13,1,kept,(0.0036648171953857 + (0.9917431473731995 * (((0.7433260083198547 * x1) / ((exp(exp((0.5352578163146973 * x0))) * (exp((2.5961806774139404 * x1)) - (1.9263886213302612 - (297.5476074218750000 * x1)))) * exp(((-1.0667701959609985) * x1)))) / exp(((exp(((-0.1313982456922531) * x0)) * ((-6.9308919906616211) * x0)) - (((-4.3688435554504395) * x0) + 3.7469267845153809)))))),(31.249866299263655*x1*exp(x0*(6.9308919906616211 - 4.3688435554504395*exp(0.1313982456922531*x0))*exp(-0.1313982456922531*x0) + 1.0667701959609985*x1) + (1.090457588125561273*x1 + 0.0036648171953857*exp(2.5961806774139404*x1) - 0.0070598621444464934)*exp(exp(0.5352578163146973*x0)))*exp(-exp(0.5352578163146973*x0))/(297.547607421875*x1 + exp(2.5961806774139404*x1) - 1.9263886213302612),132,45.0,12.0,41.0,11.0,64.0,17.0,62.0,16.0,12.0,10.0 +kotanchek,133,Operon,Operon,14,1,kept,((-0.0022257824894041) + (1.0057435035705566 * (((exp(((((-0.7701046466827393) * x1) - (-3.8445262908935547)) * (1.3931946754455566 * x1))) + (((15.1122426986694336 * x1) - (-13.2947568893432617)) * (((-2.5437910556793213) * x1) - (-15.1461124420166016)))) / (exp((2.8625166416168213 * x0)) + (((-3.6063053607940674) * x0) + 62.3201675415039062))) * ((0.0344910286366940 * x0) + 0.0158514883369207)))),-1.0057435035705566*(0.034491028636694*x0 + 0.0158514883369207)*((2.5437910556793213*x1 - 15.1461124420166016)*(15.1122426986694336*x1 + 13.2947568893432617) - exp(-1.3931946754455566*x1*(0.7701046466827393*x1 - 3.8445262908935547)))/(-3.6063053607940674*x0 + exp(2.8625166416168213*x0) + 62.3201675415039062) - 0.0022257824894041,133,43.0,14.0,37.0,11.0,49.0,17.0,37.0,11.0,14.0,11.0 +kotanchek,134,Operon,Operon,15,1,kept,(0.0003700088418555 + (0.9992044568061829 * (((exp((0.1231540888547897 * x1)) * (((((-2.6712670326232910) * x0) - 1.5445685386657715) * ((1.0232990980148315 * x0) - exp(((-4.9796590805053711) * x0)))) - (((-10.8486871719360352) * x0) - 0.5861128568649292))) / (exp((2.4178924560546875 * x0)) - (-42.5792884826660156))) / (exp((0.3763327002525330 * x1)) - (0.9377985596656799 * x1))))),0.0003700088418555 - 0.9992044568061829*(10.8486871719360352*x0 - (1.0232990980148315*x0 - exp(-4.9796590805053711*x0))*(2.671267032623291*x0 + 1.5445685386657715) + 0.5861128568649292)*exp(0.1231540888547897*x1)/((0.9377985596656799*x1 - exp(0.376332700252533*x1))*(exp(2.4178924560546875*x0) + 42.5792884826660156)),134,45.0,13.0,43.0,12.0,47.0,14.0,43.0,12.0,13.0,12.0 +kotanchek,135,Operon,Operon,16,1,kept,((-0.0158226937055588) + (1.0497971773147583 * (((exp(((-0.3585180342197418) * x1)) - ((((exp((1.7362647056579590 * x1)) - (-7144.3906250000000000)) + ((-3211.7934570312500000) * x1)) / (exp((3.3592488765716553 * x1)) - (-8749.7304687500000000))) - (-252.0166625976562500))) - (-251.8914642333984375)) / (exp((0.7833101749420166 * x0)) + log(exp(((-1.7847769260406494) * x0))))))),-0.0158226937055588 - 1.0497971773147583*(0.1251983642578125 - exp(-0.3585180342197418*x1) + (-3211.79345703125*x1 + exp(1.736264705657959*x1) + 7144.390625)/(exp(3.3592488765716553*x1) + 8749.73046875))/(exp(0.7833101749420166*x0) + log(exp(-1.7847769260406494*x0))),135,41.0,12.0,37.0,11.0,45.0,14.0,37.0,11.0,12.0,11.0 +kotanchek,136,Operon,Operon,17,1,kept,((-0.0000000143612136) + (1.0000000000000000 * (((0.0493797957897186 - (0.0001029339036904 * x0)) / (exp(((-0.0000001355219865) * x0)) + (((-0.0032123271375895) * x1) * (((-41.7853355407714844) * x1) + 208.9266815185546875)))) / exp((((-1.8152447938919067) * x0) * (1.1029279232025146 - (0.5508886575698853 * x0))))))),-1.0*(0.0001029339036904*x0 - 0.0493797957897186)*exp(-1.8152447938919067*x0*(0.5508886575698853*x0 - 1.1029279232025146))/(0.0032123271375895*x1*(41.7853355407714844*x1 - 208.9266815185546875) + exp(-1.355219865e-7*x0)) - 1.43612136e-8,136,33.0,10.0,29.0,8.0,39.0,13.0,29.0,8.0,11.0,8.0 +kotanchek,137,Operon,Operon,18,1,kept,((-0.0000026597272154) + (1.0000067949295044 * ((exp(((1.3812974691390991 * x0) * (((-0.7240105271339417) * x0) + 1.4479488134384155))) * (((-0.0016091535799205) * x1) - (-0.0074326260946691))) * (exp((1.1061540842056274 * x1)) - ((((-4.3172826766967773) * x1) + (-5.3209042549133301)) - exp((((3.6427340507507324 * x1) - 0.0311711747199297) - exp((0.6457238197326660 * x1))))))))),(-1.0000067949295044*(0.0016091535799205*x1 - 0.0074326260946691)*(4.3172826766967773*x1 + exp(1.1061540842056274*x1) + 0.969309637568713*exp(3.6427340507507324*x1 - exp(0.645723819732666*x1)) + 5.3209042549133301) - 2.6597272154e-6*exp(1.3812974691390991*x0*(0.7240105271339417*x0 - 1.4479488134384155)))*exp(-1.3812974691390991*x0*(0.7240105271339417*x0 - 1.4479488134384155)),137,43.0,13.0,39.0,11.0,58.0,18.0,48.0,13.0,13.0,11.0 +kotanchek,138,Operon,Operon,19,1,kept,(0.0034536698367447 + (0.9867714047431946 * ((((((-0.6941707730293274) * x1) + exp((0.2583339512348175 * x1))) * (((-0.6002479791641235) * x1) + exp((0.2208170741796494 * x1)))) * (exp(((-0.8911798000335693) * x0)) - (0.7564386129379272 + ((-1.2858601808547974) * x0)))) / exp(((((-2.1546506881713867) * x1) + exp((0.6885151863098145 * x0))) + exp(((-1.0648982524871826) * x0))))))),(0.9867714047431946*(0.6002479791641235*x1 - exp(0.2208170741796494*x1))*(0.6941707730293274*x1 - exp(0.2583339512348175*x1))*((1.2858601808547974*x0 - 0.7564386129379272)*exp(0.8911798000335693*x0) + 1)*exp(((2.1546506881713867*x1 - exp(0.6885151863098145*x0))*exp(1.0648982524871826*x0) - 1)*exp(-1.0648982524871826*x0)) + 0.0034536698367447*exp(0.8911798000335693*x0))*exp(-0.8911798000335693*x0),138,47.0,12.0,47.0,12.0,70.0,19.0,64.0,16.0,12.0,12.0 +kotanchek,139,Operon,Operon,20,1,kept,(0.0004888178664260 + (0.9988220334053040 * (exp((((((-5.1766362190246582) - (0.0070227989926934 * x0)) + (1.1790944337844849 * x1)) * ((-0.3277454376220703) * x1)) + (exp(((6.3319468498229980 * x1) * ((-0.0836486071348190) * x1))) * ((-1.0949771404266357) * x1)))) / (6.3024258613586426 / (0.0139735620468855 + exp(((2.2476174831390381 * x0) - exp((0.8711588978767395 * x0))))))))),(0.15848215518555634*exp(2.2476174831390381*x0 - exp(0.8711588978767395*x0)) + 0.0022145602288095083)*exp(-x1*(0.3277454376220703*(-0.0070227989926934*x0 + 1.1790944337844849*x1 - 5.1766362190246582)*exp(0.52965853443939874*x1**2) + 1.0949771404266357)*exp(-0.52965853443939874*x1**2)) + 0.000488817866426,139,45.0,13.0,39.0,11.0,52.0,15.0,42.0,11.0,13.0,10.0 +kotanchek,140,Operon,Operon,21,1,kept,(0.0000354178737325 + (0.9998701810836792 * (((21.8554801940917969 * x1) - ((21.8578433990478516 * x1) - 0.0542484000325203)) * exp(((((-1.2365419864654541) - ((-0.6182689070701599) * x0)) * ((-1.6172654628753662) * x0)) - (exp(((((-0.0128339584916830) * x1) - (0.0000608815898886 * x1)) - ((((-1.6681232452392578) * x1) - (-6.2428498268127441)) * ((-0.1763334870338440) * x1)))) * ((-0.3036648035049438) * x1))))))),(-0.00236289816734826241*x1 + 3.54178737325e-5*exp(1.6172654628753662*x0*(0.6182689070701599*x0 - 1.2365419864654541) - 0.3036648035049438*x1*exp(x1*(1.0879286389089487 - 0.29414598863525044*x1))) + 0.05424135756401594)*exp(-1.6172654628753662*x0*(0.6182689070701599*x0 - 1.2365419864654541) + 0.3036648035049438*x1*exp(x1*(1.0879286389089487 - 0.29414598863525044*x1))),140,47.0,14.0,29.0,8.0,59.0,17.0,51.0,13.0,14.0,8.0 +kotanchek,141,Operon,Operon,22,1,kept,(0.0000054139832173 + (0.9996626973152161 * (exp(((((-0.1160286292433739) * x0) * ((-17.2363529205322266) + (8.6183118820190430 * x0))) + exp((exp((((1.4520825147628784 * x1) + (-7.2530150413513184)) * ((-0.1153997406363487) * x1))) + (-2.4340145587921143))))) * (exp((((1.4263883829116821 * x1) + (-7.1799330711364746)) * ((-0.0031533578876406) * x1))) + (-0.9611204862594604))))),-0.9607962977390443*exp(-0.99997091406255149*x0**2 + 1.99991040252437864*x0 + 0.087684112024531059*exp(exp(-0.16756994558621315*x1**2 + 0.83699605460347808*x1))) + 0.9996626973152161*exp(-0.99997091406255149*x0**2 + 1.99991040252437864*x0 - 0.0044979130580934735*x1**2 + 0.022640898582599801*x1 + 0.087684112024531059*exp(exp(-0.16756994558621315*x1**2 + 0.83699605460347808*x1))) + 5.4139832173e-6,141,41.0,13.0,35.0,10.0,75.0,20.0,60.0,15.0,13.0,10.0 +kotanchek,142,Operon,Operon,23,1,kept,(0.0008338154293597 + (0.9979702830314636 * ((exp(exp(exp(((0.0654336437582970 + ((-0.0385530032217503) * x1)) * ((-17.4296455383300781) + (5.2765936851501465 * x1)))))) * (exp(((-0.6076733469963074) * x0)) + ((-0.9865196943283081) + (0.7046096920967102 * x0)))) * 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exp(0.4206682443618774*x1)))) + 1)*exp(1.9999943971633911*x0 - 0.0865126922726631*x1) + 1.09874044938e-5*exp(1.000005586060064296*x0**2 + 0.2363450229167938*x1))*exp(-1.000005586060064296*x0**2 - 0.2363450229167938*x1),143,45.0,11.0,43.0,10.0,61.0,15.0,57.0,14.0,11.0,10.0 +kotanchek,144,Operon,Operon,25,1,kept,((-0.0021912427619100) + (1.0060203075408936 * ((((-1.9571648836135864) + ((-0.1280445605516434) * x1)) + (((-4.9479722976684570) * x0) + (((exp(((-25.1299152374267578) * x0)) - ((-1013.9223632812500000) + ((-2498.2419433593750000) * x0))) / ((-763.4477539062500000) - exp((2.6487932205200195 * x1)))) / exp(((-1.3105899095535278) * x1))))) / ((-64.6880645751953125) - exp((2.9050159454345703 * x0)))))),-0.00219124276191 + 1.0060203075408936*(4.947972297668457*x0 + 0.1280445605516434*x1 + 1.9571648836135864 + (2498.241943359375*x0 + 1013.92236328125 + exp(-25.1299152374267578*x0))*exp(1.3105899095535278*x1)/(exp(2.6487932205200195*x1) + 763.44775390625))/(exp(2.9050159454345703*x0) 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1.842776894569397))),145,41.0,14.0,31.0,9.0,67.0,22.0,51.0,14.0,14.0,9.0 +kotanchek,146,Operon,Operon,27,1,kept,((-0.0020811073482037) + (0.9979038834571838 * ((((((-0.0209705717861652) * x1) - ((0.0227618105709553 * x0) + 0.0106864003464580)) * exp((0.0658860057592392 * x0))) + (0.0203825030475855 * x1)) * ((40.4724655151367188 / ((-62.7512664794921875) - exp((2.9289722442626953 * x0)))) / (exp((0.1633399575948715 * x1)) + ((-0.8682605624198914) - (0.2447641491889954 * x1))))))),(0.823201001967915342*x1 - 0.0020811073482037*(exp(2.9289722442626953*x0) + 62.7512664794921875)*(0.2447641491889954*x1 - exp(0.1633399575948715*x1) + 0.8682605624198914) - (0.919295595092965231*x0 + 0.846951704896531438*x1 + 0.431598388681541098)*exp(0.0658860057592392*x0))/((exp(2.9289722442626953*x0) + 62.7512664794921875)*(0.2447641491889954*x1 - exp(0.1633399575948715*x1) + 0.8682605624198914)),146,42.0,13.0,38.0,11.0,56.0,16.0,56.0,16.0,13.0,11.0 +kotanchek,147,Operon,Operon,28,1,kept,(0.0014168095076457 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x1),0.51261115262063534*x1*(0.6214063774224301*x0*x1*(1.8394445968539718*x0 + 3*x1 - 0.16055540314602817*exp(x1) - 0.6904329788496647) + x1 - 0.2570477604364112)*exp(-0.6022120672089649*x0**2 - x1),208,45.0,8.0,41.0,6.0,39.0,9.0,34.0,7.0,8.0,6.0 +kotanchek,209,SRjl,SRjl,30,1,kept,(((((x1 + ((x0 + (0.22599078633925967 * -1.0472058462434648)) - ((-0.041129877765828333 - 0.6933744860762721) + (log(0.3913793270250966) * -0.04529560337326411)))) / (exp(x1) + (((7.787500628085413 - x1) - x1) - x1))) / ((exp(x0) - ((x0 - 0.5311915415003168) / 0.6723070296996237)) - x0)) - 0.01811268853996139) * x1),x1*(x0 + x1 - 0.01811268853996139*(-2.487415653599196*x0 + exp(x0) + 0.7901026138870583)*(-3*x1 + exp(x1) + 7.787500628085413) + 0.45535468020164982)/((-2.487415653599196*x0 + exp(x0) + 0.7901026138870583)*(-3*x1 + exp(x1) + 7.787500628085413)),209,33.0,6.0,31.0,5.0,33.0,6.0,31.0,5.0,8.0,5.0 diff --git a/python/egglog/exp/param_eq/artifacts/pagie_runtime_compare.csv b/python/egglog/exp/param_eq/artifacts/pagie_runtime_compare.csv new file mode 100644 index 00000000..1db1b2da --- /dev/null +++ b/python/egglog/exp/param_eq/artifacts/pagie_runtime_compare.csv @@ -0,0 +1,634 @@ +implementation,algorithm_raw,algorithm,algo_row,node_count,after_nodes,runtime_ms,status +Archived Haskell,,,,45,,212.200000000,archived_benchmark +Archived Haskell,,,,41,,16.150000000,archived_benchmark +Archived Haskell,,,,34,,193.600000000,archived_benchmark +Archived Haskell,,,,48,,717.900000000,archived_benchmark +Archived Haskell,,,,37,,26.040000000,archived_benchmark +Archived Haskell,,,,45,,199.100000000,archived_benchmark +Archived Haskell,,,,25,,117.200000000,archived_benchmark +Archived Haskell,,,,38,,186.800000000,archived_benchmark +Archived Haskell,,,,41,,23.130000000,archived_benchmark +Archived Haskell,,,,44,,51.680000000,archived_benchmark +Archived Haskell,,,,40,,160.200000000,archived_benchmark +Archived Haskell,,,,25,,5.692000000,archived_benchmark 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Haskell,,,,48,,29.450000000,archived_benchmark +Archived Haskell,,,,19,,442.100000000,archived_benchmark +Archived Haskell,,,,17,,52.570000000,archived_benchmark +Archived Haskell,,,,17,,70.240000000,archived_benchmark +Archived Haskell,,,,19,,243.000000000,archived_benchmark +Archived Haskell,,,,19,,340.200000000,archived_benchmark +Archived Haskell,,,,19,,128.100000000,archived_benchmark +Archived Haskell,,,,17,,53.480000000,archived_benchmark +Archived Haskell,,,,16,,115.200000000,archived_benchmark +Archived Haskell,,,,19,,237.200000000,archived_benchmark +Archived Haskell,,,,14,,47.630000000,archived_benchmark +Archived Haskell,,,,17,,53.940000000,archived_benchmark +Archived Haskell,,,,20,,93.280000000,archived_benchmark +Archived Haskell,,,,16,,129.500000000,archived_benchmark +Archived Haskell,,,,19,,107.900000000,archived_benchmark +Archived Haskell,,,,19,,327.000000000,archived_benchmark +Archived Haskell,,,,19,,317.200000000,archived_benchmark +Archived Haskell,,,,21,,320.700000000,archived_benchmark +Archived Haskell,,,,21,,313.500000000,archived_benchmark +Archived Haskell,,,,21,,123.100000000,archived_benchmark +Archived Haskell,,,,17,,57.440000000,archived_benchmark +Archived Haskell,,,,17,,55.740000000,archived_benchmark +Archived Haskell,,,,17,,54.740000000,archived_benchmark +Archived Haskell,,,,19,,336.200000000,archived_benchmark +Archived Haskell,,,,18,,134.900000000,archived_benchmark +Archived Haskell,,,,16,,53.960000000,archived_benchmark +Archived Haskell,,,,1,,0.146800000,archived_benchmark +Archived Haskell,,,,1,,0.147200000,archived_benchmark +Archived Haskell,,,,21,,270.100000000,archived_benchmark +Archived Haskell,,,,19,,56.220000000,archived_benchmark +Archived Haskell,,,,17,,53.840000000,archived_benchmark +Archived Haskell,,,,63,,6.460000000,archived_benchmark +Archived Haskell,,,,77,,3.451000000,archived_benchmark +Archived Haskell,,,,40,,105.000000000,archived_benchmark +Archived Haskell,,,,29,,86.170000000,archived_benchmark +Archived Haskell,,,,89,,1.360000000,archived_benchmark +Archived Haskell,,,,64,,52.330000000,archived_benchmark +Archived Haskell,,,,58,,1.405000000,archived_benchmark +Archived Haskell,,,,67,,4.851000000,archived_benchmark +Archived Haskell,,,,71,,46.370000000,archived_benchmark +Archived Haskell,,,,66,,4.088000000,archived_benchmark +Archived Haskell,,,,51,,3.149000000,archived_benchmark +Archived Haskell,,,,83,,37.770000000,archived_benchmark +Archived Haskell,,,,37,,2.279000000,archived_benchmark +Archived Haskell,,,,78,,226.800000000,archived_benchmark +Archived Haskell,,,,67,,24.290000000,archived_benchmark +Archived Haskell,,,,29,,0.540800000,archived_benchmark +Archived Haskell,,,,72,,2.782000000,archived_benchmark +Archived Haskell,,,,55,,14.230000000,archived_benchmark +Archived Haskell,,,,33,,0.783700000,archived_benchmark +Archived Haskell,,,,67,,219.500000000,archived_benchmark +Archived Haskell,,,,59,,6.614000000,archived_benchmark +Archived Haskell,,,,25,,4.901000000,archived_benchmark +Archived Haskell,,,,66,,27.150000000,archived_benchmark +Archived Haskell,,,,43,,160.500000000,archived_benchmark +Archived Haskell,,,,32,,2.992000000,archived_benchmark +Archived Haskell,,,,29,,2.482000000,archived_benchmark +Archived Haskell,,,,85,,7.570000000,archived_benchmark +Archived Haskell,,,,69,,13.310000000,archived_benchmark +Archived Haskell,,,,56,,1.331000000,archived_benchmark +Archived Haskell,,,,32,,7.101000000,archived_benchmark +Archived Haskell,,,,79,,13.280000000,archived_benchmark +Archived Haskell,,,,55,,4.221000000,archived_benchmark +Archived Haskell,,,,89,,109.200000000,archived_benchmark +Archived Haskell,,,,217,,410.000000000,archived_benchmark +Archived Haskell,,,,116,,1039.000000000,archived_benchmark +Archived Haskell,,,,194,,379.400000000,archived_benchmark +Archived Haskell,,,,142,,473.500000000,archived_benchmark +Archived Haskell,,,,269,,380.200000000,archived_benchmark +Archived Haskell,,,,191,,590.700000000,archived_benchmark +Archived Haskell,,,,191,,377.100000000,archived_benchmark +Archived Haskell,,,,241,,440.900000000,archived_benchmark +Archived Haskell,,,,202,,358.800000000,archived_benchmark +Archived Haskell,,,,223,,663.900000000,archived_benchmark +Archived Haskell,,,,357,,531.900000000,archived_benchmark +Archived Haskell,,,,154,,493.200000000,archived_benchmark +Archived Haskell,,,,134,,555.700000000,archived_benchmark +Archived Haskell,,,,184,,329.300000000,archived_benchmark +Archived Haskell,,,,416,,707.500000000,archived_benchmark +Archived Haskell,,,,129,,527.900000000,archived_benchmark +Archived Haskell,,,,174,,339.700000000,archived_benchmark +Archived Haskell,,,,160,,590.300000000,archived_benchmark +Archived Haskell,,,,196,,463.500000000,archived_benchmark +Archived Haskell,,,,151,,643.600000000,archived_benchmark +Archived Haskell,,,,125,,709.800000000,archived_benchmark +Archived Haskell,,,,168,,1315.000000000,archived_benchmark +Archived Haskell,,,,155,,305.200000000,archived_benchmark +Archived Haskell,,,,170,,373.500000000,archived_benchmark +Archived Haskell,,,,138,,309.200000000,archived_benchmark +Archived Haskell,,,,179,,663.600000000,archived_benchmark +Archived Haskell,,,,133,,594.100000000,archived_benchmark +Archived Haskell,,,,186,,423.500000000,archived_benchmark +Archived Haskell,,,,165,,453.100000000,archived_benchmark +Archived Haskell,,,,131,,1150.000000000,archived_benchmark +Archived Haskell,,,,1,,0.139700000,archived_benchmark +Archived Haskell,,,,30,,253.500000000,archived_benchmark +Archived Haskell,,,,28,,274.600000000,archived_benchmark +Archived Haskell,,,,10,,0.954400000,archived_benchmark +Archived Haskell,,,,31,,435.000000000,archived_benchmark +Archived Haskell,,,,1,,0.166900000,archived_benchmark +Archived Haskell,,,,28,,157.900000000,archived_benchmark +Archived Haskell,,,,29,,5.302000000,archived_benchmark +Archived Haskell,,,,29,,73.570000000,archived_benchmark +Archived Haskell,,,,28,,393.900000000,archived_benchmark +Archived Haskell,,,,29,,262.800000000,archived_benchmark +Archived Haskell,,,,29,,393.600000000,archived_benchmark +Archived Haskell,,,,29,,225.200000000,archived_benchmark +Archived Haskell,,,,26,,4.449000000,archived_benchmark +Archived Haskell,,,,29,,173.700000000,archived_benchmark +Archived Haskell,,,,26,,81.570000000,archived_benchmark +Archived Haskell,,,,29,,294.500000000,archived_benchmark +Archived Haskell,,,,27,,53.530000000,archived_benchmark +Archived Haskell,,,,28,,3.177000000,archived_benchmark +Archived Haskell,,,,28,,221.100000000,archived_benchmark +Archived Haskell,,,,28,,4.708000000,archived_benchmark +Archived Haskell,,,,31,,262.300000000,archived_benchmark +Archived Haskell,,,,29,,130.800000000,archived_benchmark +Archived Haskell,,,,27,,65.000000000,archived_benchmark +Archived Haskell,,,,29,,24.890000000,archived_benchmark +Archived Haskell,,,,28,,5.798000000,archived_benchmark +Archived Haskell,,,,27,,20.730000000,archived_benchmark +Archived Haskell,,,,28,,306.400000000,archived_benchmark +Archived Haskell,,,,28,,85.760000000,archived_benchmark +Archived Haskell,,,,28,,23.420000000,archived_benchmark +Archived Haskell,,,,43,,14.500000000,archived_benchmark +Archived Haskell,,,,23,,25.420000000,archived_benchmark +Archived Haskell,,,,27,,3.468000000,archived_benchmark +Archived Haskell,,,,49,,31.470000000,archived_benchmark +Archived Haskell,,,,23,,2.993000000,archived_benchmark +Archived Haskell,,,,53,,36.180000000,archived_benchmark +Archived Haskell,,,,21,,8.431000000,archived_benchmark +Archived Haskell,,,,20,,225.500000000,archived_benchmark +Archived Haskell,,,,31,,102.600000000,archived_benchmark +Archived Haskell,,,,25,,5.126000000,archived_benchmark +Archived Haskell,,,,24,,294.000000000,archived_benchmark +Archived Haskell,,,,15,,130.600000000,archived_benchmark +Archived Haskell,,,,33,,5.123000000,archived_benchmark +Archived Haskell,,,,29,,281.400000000,archived_benchmark +Archived Haskell,,,,45,,36.260000000,archived_benchmark +Archived Haskell,,,,47,,126.000000000,archived_benchmark +Archived Haskell,,,,49,,111.500000000,archived_benchmark +Archived Haskell,,,,23,,6.700000000,archived_benchmark +Archived Haskell,,,,25,,13.980000000,archived_benchmark +Archived Haskell,,,,39,,45.590000000,archived_benchmark +Archived Haskell,,,,43,,5.005000000,archived_benchmark +Archived Haskell,,,,27,,4.470000000,archived_benchmark +Archived Haskell,,,,27,,268.900000000,archived_benchmark +Archived Haskell,,,,29,,2.533000000,archived_benchmark +Archived Haskell,,,,20,,1.174000000,archived_benchmark +Archived Haskell,,,,16,,1.082000000,archived_benchmark +Archived Haskell,,,,53,,254.400000000,archived_benchmark +Archived Haskell,,,,41,,8.862000000,archived_benchmark +Archived Haskell,,,,17,,1.122000000,archived_benchmark +Archived Haskell,,,,27,,11.140000000,archived_benchmark +Archived Haskell,,,,44,,233.900000000,archived_benchmark +Archived Haskell,,,,39,,266.900000000,archived_benchmark +Archived Haskell,,,,35,,11.920000000,archived_benchmark +Archived Haskell,,,,41,,461.700000000,archived_benchmark +Archived Haskell,,,,44,,59.140000000,archived_benchmark +Archived Haskell,,,,31,,275.600000000,archived_benchmark +Archived Haskell,,,,28,,107.900000000,archived_benchmark +Archived Haskell,,,,37,,112.200000000,archived_benchmark +Archived Haskell,,,,35,,515.900000000,archived_benchmark +Archived Haskell,,,,36,,155.000000000,archived_benchmark +Archived Haskell,,,,33,,11.260000000,archived_benchmark +Archived Haskell,,,,41,,283.900000000,archived_benchmark +Archived Haskell,,,,42,,532.300000000,archived_benchmark +Archived Haskell,,,,43,,149.600000000,archived_benchmark +Archived Haskell,,,,41,,241.400000000,archived_benchmark +Archived Haskell,,,,34,,143.200000000,archived_benchmark +Archived Haskell,,,,42,,28.950000000,archived_benchmark +Archived Haskell,,,,43,,371.300000000,archived_benchmark +Archived Haskell,,,,42,,339.400000000,archived_benchmark +Archived Haskell,,,,35,,101.400000000,archived_benchmark +Archived Haskell,,,,31,,339.800000000,archived_benchmark +Archived Haskell,,,,31,,200.300000000,archived_benchmark +Archived Haskell,,,,37,,198.200000000,archived_benchmark +Archived Haskell,,,,26,,4.090000000,archived_benchmark +Archived Haskell,,,,41,,231.500000000,archived_benchmark +Archived Haskell,,,,43,,90.390000000,archived_benchmark +Archived Haskell,,,,42,,129.600000000,archived_benchmark +Archived Haskell,,,,44,,203.500000000,archived_benchmark +Archived Haskell,,,,35,,42.310000000,archived_benchmark +Archived Haskell,,,,28,,11.360000000,archived_benchmark +Live Haskell,Operon,Operon,1,39,31,65.329,saturated +Live Haskell,Operon,Operon,2,48,34,246.738,saturated +Live Haskell,Operon,Operon,3,45,33,1480.4409999999998,saturated +Live Haskell,Operon,Operon,4,47,37,393.28999999999996,saturated +Live Haskell,Operon,Operon,5,49,37,301.294,saturated +Live Haskell,Operon,Operon,6,45,35,1790.443,saturated +Live Haskell,Operon,Operon,7,44,36,46.411,saturated +Live Haskell,Operon,Operon,8,49,39,81.535,saturated +Live Haskell,Operon,Operon,9,45,33,1352.33,saturated +Live Haskell,Operon,Operon,10,43,33,380.983,saturated +Live Haskell,Operon,Operon,11,41,31,3594.2059999999997,saturated +Live Haskell,Operon,Operon,12,48,32,2125.07,saturated +Live Haskell,Operon,Operon,13,41,35,54.144,saturated +Live Haskell,Operon,Operon,14,47,37,151.29899999999998,saturated +Live Haskell,Operon,Operon,15,45,29,754.6500000000001,saturated +Live Haskell,Operon,Operon,16,50,38,387.974,saturated +Live Haskell,Operon,Operon,17,45,37,1182.942,saturated +Live Haskell,Operon,Operon,18,45,31,2054.6639999999998,saturated +Live Haskell,Operon,Operon,19,41,35,68.841,saturated +Live Haskell,Operon,Operon,20,47,37,1465.374,saturated +Live Haskell,Operon,Operon,21,45,37,3641.356,saturated +Live Haskell,Operon,Operon,22,42,34,110.607,saturated +Live Haskell,Operon,Operon,23,45,37,201.139,saturated +Live Haskell,Operon,Operon,24,41,33,366.697,saturated +Live Haskell,Operon,Operon,25,45,33,1218.068,saturated +Live Haskell,Operon,Operon,26,41,33,4412.607999999999,saturated +Live Haskell,Operon,Operon,27,48,36,244.91299999999998,saturated +Live Haskell,Operon,Operon,28,45,33,929.767,saturated +Live Haskell,Operon,Operon,29,45,33,1005.7560000000001,saturated +Live Haskell,Operon,Operon,30,45,33,197.646,saturated +Live Haskell,GOMEA,GP-GOMEA,1,19,19,1608.662,saturated +Live Haskell,GOMEA,GP-GOMEA,2,17,17,291.779,saturated +Live Haskell,GOMEA,GP-GOMEA,3,17,17,290.49199999999996,saturated +Live Haskell,GOMEA,GP-GOMEA,4,19,19,1317.443,saturated +Live Haskell,GOMEA,GP-GOMEA,5,19,19,1635.3819999999998,saturated +Live Haskell,GOMEA,GP-GOMEA,6,19,17,657.273,saturated +Live Haskell,GOMEA,GP-GOMEA,25,16,16,292.588,saturated +Live Haskell,GOMEA,GP-GOMEA,26,1,1,0.348,saturated +Live Haskell,GOMEA,GP-GOMEA,27,1,1,0.32,saturated +Live Haskell,GOMEA,GP-GOMEA,28,21,21,1594.139,saturated +Live Haskell,GOMEA,GP-GOMEA,29,19,19,306.329,saturated +Live Haskell,GOMEA,GP-GOMEA,30,17,17,307.37199999999996,saturated +Live Haskell,EPLEX,EPLEX,1,29,22,536.438,saturated +Live Haskell,EPLEX,EPLEX,2,89,73,7.266,saturated +Live Haskell,EPLEX,EPLEX,3,64,48,302.601,saturated +Live Haskell,EPLEX,EPLEX,4,58,46,6.409,saturated +Live Haskell,EPLEX,EPLEX,5,67,54,661.822,saturated +Live Haskell,EPLEX,EPLEX,6,71,44,1034.526,saturated +Live Haskell,EPLEX,EPLEX,7,66,58,23.314999999999998,saturated +Live Haskell,EPLEX,EPLEX,8,51,43,30.43,saturated +Live Haskell,EPLEX,EPLEX,9,83,50,850.705,saturated +Live Haskell,EPLEX,EPLEX,10,37,24,9.313,saturated +Live Haskell,EPLEX,EPLEX,11,78,50,1333.088,saturated +Live Haskell,EPLEX,EPLEX,12,67,43,168.049,saturated +Live Haskell,GOMEA,GP-GOMEA,7,17,17,293.575,saturated +Live Haskell,GOMEA,GP-GOMEA,8,16,14,653.524,saturated +Live Haskell,GOMEA,GP-GOMEA,9,19,19,1311.402,saturated +Live Haskell,GOMEA,GP-GOMEA,10,14,14,254.963,saturated +Live Haskell,GOMEA,GP-GOMEA,11,17,17,299.165,saturated +Live Haskell,GOMEA,GP-GOMEA,12,20,18,451.718,saturated +Live Haskell,GOMEA,GP-GOMEA,13,16,14,612.305,saturated +Live Haskell,GOMEA,GP-GOMEA,14,19,17,620.408,saturated +Live Haskell,GOMEA,GP-GOMEA,15,19,19,1711.722,saturated +Live Haskell,GOMEA,GP-GOMEA,16,19,19,1373.9470000000001,saturated +Live Haskell,GOMEA,GP-GOMEA,17,21,21,1563.397,saturated +Live Haskell,GOMEA,GP-GOMEA,18,21,21,1590.5819999999999,saturated +Live Haskell,GOMEA,GP-GOMEA,19,21,19,807.5649999999999,saturated +Live Haskell,GOMEA,GP-GOMEA,20,17,17,307.69,saturated +Live Haskell,GOMEA,GP-GOMEA,21,17,17,301.305,saturated +Live Haskell,GOMEA,GP-GOMEA,22,17,17,294.59499999999997,saturated +Live Haskell,GOMEA,GP-GOMEA,23,19,19,1644.719,saturated +Live Haskell,GOMEA,GP-GOMEA,24,18,14,743.892,saturated +Live Haskell,EPLEX,EPLEX,13,29,27,2.592,saturated +Live Haskell,EPLEX,EPLEX,14,72,46,15.588,saturated +Live Haskell,EPLEX,EPLEX,15,55,36,92.545,saturated +Live Haskell,EPLEX,EPLEX,16,33,28,3.233,saturated +Live Haskell,EPLEX,EPLEX,17,67,45,1569.7369999999999,saturated +Live Haskell,EPLEX,EPLEX,18,59,57,112.905,saturated +Live Haskell,EPLEX,EPLEX,19,25,20,30.688,saturated +Live Haskell,EPLEX,EPLEX,20,66,46,2819.846,saturated +Live Haskell,EPLEX,EPLEX,21,43,29,1804.38,saturated +Live Haskell,EPLEX,EPLEX,22,32,27,14.822000000000001,saturated +Live Haskell,EPLEX,EPLEX,23,29,16,17.589000000000002,saturated +Live Haskell,EPLEX,EPLEX,24,85,57,183.134,saturated +Live Haskell,EPLEX,EPLEX,25,69,40,1490.616,saturated +Live Haskell,EPLEX,EPLEX,26,56,32,6.193,saturated +Live Haskell,EPLEX,EPLEX,27,32,22,38.96,saturated +Live Haskell,EPLEX,EPLEX,28,79,45,660.704,saturated +Live Haskell,EPLEX,EPLEX,29,55,49,23.256,saturated +Live Haskell,EPLEX,EPLEX,30,89,67,936.4879999999999,saturated +Live Haskell,FEAT,FEAT,19,196,102,7033.058,saturated +Live Haskell,FEAT,FEAT,20,151,129,5693.588,saturated +Live Haskell,FEAT,FEAT,21,125,107,5429.928999999999,saturated +Live Haskell,FEAT,FEAT,22,168,158,8960.52,saturated +Live Haskell,FEAT,FEAT,23,155,117,2908.0879999999997,saturated +Live Haskell,FEAT,FEAT,24,170,152,3797.662,saturated +Live Haskell,FEAT,FEAT,25,138,122,4579.621999999999,saturated +Live Haskell,FEAT,FEAT,26,179,165,4903.648999999999,saturated +Live Haskell,FEAT,FEAT,27,133,105,5060.751,saturated +Live Haskell,FEAT,FEAT,28,186,142,3299.164,saturated +Live Haskell,FEAT,FEAT,29,165,135,3724.513,saturated +Live Haskell,FEAT,FEAT,30,131,113,8674.763,saturated +Live Haskell,SBP,SBP,1,1,1,0.357,saturated +Live Haskell,SBP,SBP,2,30,26,1623.767,saturated +Live Haskell,SBP,SBP,3,28,26,1827.426,saturated +Live Haskell,SBP,SBP,4,10,10,3.0149999999999997,saturated +Live Haskell,SBP,SBP,5,31,29,3025.396,saturated +Live Haskell,SBP,SBP,6,1,1,0.367,saturated +Live Haskell,SBP,SBP,7,28,24,1012.72,saturated +Live Haskell,SBP,SBP,8,29,27,21.676000000000002,saturated +Live Haskell,SBP,SBP,9,29,25,528.854,saturated +Live Haskell,SBP,SBP,10,28,28,2671.439,saturated +Live Haskell,SBP,SBP,11,29,23,1527.794,saturated +Live Haskell,SBP,SBP,12,29,29,2537.798,saturated +Live Haskell,SBP,SBP,13,29,27,1065.06,saturated +Live Haskell,SBP,SBP,14,26,26,20.739,saturated +Live Haskell,SBP,SBP,15,29,27,1154.155,saturated +Live Haskell,SBP,SBP,16,26,26,438.303,saturated +Live Haskell,SBP,SBP,17,29,29,1693.189,saturated +Live Haskell,SBP,SBP,18,27,21,288.389,saturated +Live Haskell,SBP,SBP,19,28,28,12.546,saturated +Live Haskell,SBP,SBP,20,28,22,1098.771,saturated +Live Haskell,SBP,SBP,21,28,28,23.990000000000002,saturated +Live Haskell,SBP,SBP,22,31,29,1598.17,saturated +Live Haskell,SBP,SBP,23,29,29,667.135,saturated +Live Haskell,SBP,SBP,24,27,25,310.47,saturated +Live Haskell,FEAT,FEAT,1,217,185,4700.094,saturated +Live Haskell,FEAT,FEAT,2,116,114,8964.145,saturated +Live Haskell,FEAT,FEAT,3,194,160,4662.339,saturated +Live Haskell,FEAT,FEAT,4,142,110,6398.497,saturated +Live Haskell,FEAT,FEAT,5,269,231,7446.367,saturated +Live Haskell,FEAT,FEAT,6,191,163,4022.83,saturated +Live Haskell,FEAT,FEAT,7,191,157,8780.519999999999,saturated +Live Haskell,FEAT,FEAT,8,241,203,4747.16,saturated +Live Haskell,FEAT,FEAT,9,202,170,3436.1000000000004,saturated +Live Haskell,FEAT,FEAT,10,223,181,3742.037,saturated +Live Haskell,FEAT,FEAT,11,357,275,4493.65,saturated +Live Haskell,FEAT,FEAT,12,154,136,7617.788,saturated +Live Haskell,FEAT,FEAT,13,134,130,4183.656,saturated +Live Haskell,FEAT,FEAT,14,184,159,3993.773,saturated +Live Haskell,FEAT,FEAT,15,416,279,5598.429,saturated +Live Haskell,FEAT,FEAT,16,129,113,5647.898999999999,saturated +Live Haskell,FEAT,FEAT,17,174,114,2735.3360000000002,saturated +Live Haskell,FEAT,FEAT,18,160,144,5508.09,saturated +Live Haskell,SBP,SBP,25,29,29,136.163,saturated +Live Haskell,SBP,SBP,26,28,28,25.141000000000002,saturated +Live Haskell,SBP,SBP,27,27,25,110.67699999999999,saturated +Live Haskell,SBP,SBP,28,28,28,1928.367,saturated +Live Haskell,SBP,SBP,29,28,28,491.417,saturated +Live Haskell,SBP,SBP,30,28,26,132.452,saturated +Live Haskell,Bingo,Bingo,1,43,34,161.226,saturated +Live Haskell,Bingo,Bingo,2,23,19,137.132,saturated +Live Haskell,Bingo,Bingo,3,27,23,14.467,saturated +Live Haskell,Bingo,Bingo,4,49,40,185.827,saturated +Live Haskell,Bingo,Bingo,5,23,22,12.401,saturated +Live Haskell,Bingo,Bingo,6,53,43,191.67999999999998,saturated +Live Haskell,Bingo,Bingo,7,21,19,38.735,saturated +Live Haskell,Bingo,Bingo,8,20,20,1575.9479999999999,saturated +Live Haskell,Bingo,Bingo,9,31,27,568.3009999999999,saturated +Live Haskell,Bingo,Bingo,10,25,23,23.323,saturated +Live Haskell,Bingo,Bingo,11,24,22,2470.504,saturated +Live Haskell,Bingo,Bingo,12,15,13,1212.757,saturated +Live Haskell,Bingo,Bingo,13,33,29,32.252,saturated +Live Haskell,Bingo,Bingo,14,29,25,3188.18,saturated +Live Haskell,Bingo,Bingo,15,45,39,213.452,saturated +Live Haskell,Bingo,Bingo,16,47,42,1060.12,saturated +Live Haskell,Bingo,Bingo,17,49,36,868.6930000000001,saturated +Live Haskell,Bingo,Bingo,18,23,21,26.939999999999998,saturated +Live Haskell,Bingo,Bingo,19,25,23,57.342999999999996,saturated +Live Haskell,Bingo,Bingo,20,39,32,340.452,saturated +Live Haskell,Bingo,Bingo,21,43,33,267.963,saturated +Live Haskell,Bingo,Bingo,22,27,27,28.387,saturated +Live Haskell,Bingo,Bingo,23,27,23,1995.568,saturated +Live Haskell,Bingo,Bingo,24,29,21,39.910000000000004,saturated +Live Haskell,Bingo,Bingo,25,20,17,27.237000000000002,saturated +Live Haskell,Bingo,Bingo,26,16,16,4.484,saturated +Live Haskell,Bingo,Bingo,27,53,45,827.724,saturated +Live Haskell,Bingo,Bingo,28,41,37,133.738,saturated +Live Haskell,Bingo,Bingo,29,17,16,4.229,saturated +Live Haskell,Bingo,Bingo,30,27,25,54.53,saturated +Live Haskell,SRjl,PySR,19,42,36,1611.8809999999999,saturated +Live Haskell,SRjl,PySR,20,39,23,1505.0300000000002,saturated +Live Haskell,SRjl,PySR,21,33,23,1038.8690000000001,saturated +Live Haskell,SRjl,PySR,22,31,21,1360.3590000000002,saturated +Live Haskell,SRjl,PySR,23,39,19,1208.911,saturated +Live Haskell,SRjl,PySR,24,28,26,281.008,saturated +Live Haskell,SRjl,PySR,25,41,27,1574.154,saturated +Live Haskell,SRjl,PySR,26,45,39,542.3280000000001,saturated +Live Haskell,SRjl,PySR,27,42,34,1072.959,saturated +Live Haskell,SRjl,PySR,28,44,36,1363.402,saturated +Live Haskell,SRjl,PySR,29,35,29,249.337,saturated +Live Haskell,SRjl,PySR,30,28,26,27.695999999999998,saturated +Live Haskell,SRjl,PySR,1,46,34,1538.615,saturated +Live Haskell,SRjl,PySR,2,39,37,1534.084,saturated +Live Haskell,SRjl,PySR,3,35,31,57.991,saturated +Live Haskell,SRjl,PySR,4,41,31,2544.34,saturated +Live Haskell,SRjl,PySR,5,42,36,300.829,saturated +Live Haskell,SRjl,PySR,6,33,29,4011.863,saturated +Live Haskell,SRjl,PySR,7,28,24,574.1899999999999,saturated +Live Haskell,SRjl,PySR,8,39,31,3375.787,saturated +Live Haskell,SRjl,PySR,9,37,27,1667.841,saturated +Live Haskell,SRjl,PySR,10,38,30,703.514,saturated +Live Haskell,SRjl,PySR,11,33,27,42.230999999999995,saturated +Live Haskell,SRjl,PySR,12,41,33,2879.2219999999998,saturated +Live Haskell,SRjl,PySR,13,44,34,2146.1960000000004,saturated +Live Haskell,SRjl,PySR,14,43,37,660.914,saturated +Live Haskell,SRjl,PySR,15,41,35,1172.102,saturated +Live Haskell,SRjl,PySR,16,34,30,827.414,saturated +Live Haskell,SRjl,PySR,17,42,42,107.308,saturated +Live Haskell,SRjl,PySR,18,47,34,2381.748,saturated +Egglog,Operon,Operon,1,39,31,105.838791,saturated +Egglog,Operon,Operon,3,45,33,156.246958,saturated +Egglog,Operon,Operon,4,47,37,153.747166,saturated +Egglog,Operon,Operon,5,49,37,117.175500,saturated +Egglog,Operon,Operon,7,44,36,63.928250,saturated +Egglog,Operon,Operon,8,49,39,91.700291,saturated +Egglog,Operon,Operon,9,45,33,130.759417,saturated +Egglog,Operon,Operon,6,45,35,450.486458,saturated +Egglog,Operon,Operon,2,48,34,906.358708,saturated +Egglog,Operon,Operon,13,41,35,60.785208,saturated +Egglog,Operon,Operon,14,47,37,71.381083,saturated +Egglog,Operon,Operon,12,48,32,567.433833,saturated +Egglog,Operon,Operon,10,45,33,1269.690666,saturated +Egglog,Operon,Operon,17,45,37,141.148583,saturated +Egglog,Operon,Operon,16,50,36,779.861833,saturated +Egglog,Operon,Operon,19,41,35,59.188458,saturated +Egglog,Operon,Operon,15,45,29,1878.312667,saturated +Egglog,Operon,Operon,21,45,37,534.792500,saturated +Egglog,Operon,Operon,22,43,34,94.886291,saturated +Egglog,Operon,Operon,11,41,31,3208.953875,saturated +Egglog,Operon,Operon,24,41,33,73.659583,saturated +Egglog,Operon,Operon,23,45,37,97.936416,saturated +Egglog,Operon,Operon,25,45,33,156.988084,saturated +Egglog,Operon,Operon,26,41,33,217.740792,saturated +Egglog,Operon,Operon,28,45,33,133.859958,saturated +Egglog,Operon,Operon,29,45,33,139.886583,saturated +Egglog,Operon,Operon,30,45,33,83.274250,saturated +Egglog,GOMEA,GP-GOMEA,1,20,17,50.160667,saturated +Egglog,GOMEA,GP-GOMEA,2,20,17,49.523917,saturated +Egglog,GOMEA,GP-GOMEA,3,21,17,43.315083,saturated +Egglog,GOMEA,GP-GOMEA,4,20,17,49.965542,saturated +Egglog,GOMEA,GP-GOMEA,5,21,17,50.728333,saturated +Egglog,GOMEA,GP-GOMEA,6,18,17,42.698833,saturated +Egglog,GOMEA,GP-GOMEA,7,19,17,44.818166,saturated +Egglog,GOMEA,GP-GOMEA,8,19,14,73.878208,saturated +Egglog,Operon,Operon,27,48,36,849.791875,saturated +Egglog,GOMEA,GP-GOMEA,9,21,17,51.635583,saturated +Egglog,GOMEA,GP-GOMEA,10,19,14,51.388209,saturated +Egglog,GOMEA,GP-GOMEA,12,20,20,24.024250,saturated +Egglog,GOMEA,GP-GOMEA,11,21,17,43.533375,saturated +Egglog,GOMEA,GP-GOMEA,13,14,14,24.365125,saturated +Egglog,GOMEA,GP-GOMEA,14,19,17,48.070166,saturated +Egglog,GOMEA,GP-GOMEA,15,20,17,48.982083,saturated +Egglog,GOMEA,GP-GOMEA,16,20,17,49.962750,saturated +Egglog,GOMEA,GP-GOMEA,17,21,17,48.439750,saturated +Egglog,GOMEA,GP-GOMEA,18,21,17,45.059292,saturated +Egglog,GOMEA,GP-GOMEA,19,20,19,48.743000,saturated +Egglog,GOMEA,GP-GOMEA,20,21,17,44.484958,saturated +Egglog,GOMEA,GP-GOMEA,21,19,17,41.699667,saturated +Egglog,GOMEA,GP-GOMEA,22,21,17,45.342875,saturated +Egglog,GOMEA,GP-GOMEA,23,21,17,47.197291,saturated +Egglog,GOMEA,GP-GOMEA,25,18,16,50.141083,saturated +Egglog,GOMEA,GP-GOMEA,24,17,14,77.089625,saturated +Egglog,GOMEA,GP-GOMEA,26,19,1,34.941791,saturated +Egglog,GOMEA,GP-GOMEA,27,20,1,33.243708,saturated +Egglog,GOMEA,GP-GOMEA,29,19,19,46.383458,saturated +Egglog,GOMEA,GP-GOMEA,28,21,17,51.072792,saturated +Egglog,GOMEA,GP-GOMEA,30,21,17,49.021959,saturated +Egglog,EPLEX,EPLEX,2,93,89,58.228791,saturated +Egglog,EPLEX,EPLEX,1,49,23,140.629875,saturated +Egglog,EPLEX,EPLEX,3,74,58,54.098417,saturated +Egglog,EPLEX,EPLEX,4,65,52,49.693375,saturated +Egglog,EPLEX,EPLEX,5,73,57,83.567208,saturated +Egglog,EPLEX,EPLEX,7,72,64,60.095792,saturated +Egglog,EPLEX,EPLEX,8,64,47,55.362375,saturated +Egglog,EPLEX,EPLEX,9,73,53,56.438666,saturated +Egglog,EPLEX,EPLEX,10,37,31,40.343917,saturated +Egglog,EPLEX,EPLEX,11,81,62,71.635458,saturated +Egglog,EPLEX,EPLEX,12,74,44,62.351167,saturated +Egglog,EPLEX,EPLEX,13,29,29,23.275666,saturated +Egglog,EPLEX,EPLEX,14,72,51,50.519708,saturated +Egglog,EPLEX,EPLEX,15,69,43,52.980083,saturated +Egglog,EPLEX,EPLEX,16,33,29,45.851167,saturated +Egglog,EPLEX,EPLEX,17,61,53,54.531833,saturated +Egglog,Operon,Operon,20,47,35,3974.796834,saturated +Egglog,EPLEX,EPLEX,19,30,23,53.429708,saturated +Egglog,EPLEX,EPLEX,18,71,59,90.905500,saturated +Egglog,EPLEX,EPLEX,21,61,37,62.319875,saturated +Egglog,EPLEX,EPLEX,22,48,28,47.834791,saturated +Egglog,EPLEX,EPLEX,23,49,17,51.562584,saturated +Egglog,EPLEX,EPLEX,24,83,62,76.622958,saturated +Egglog,EPLEX,EPLEX,20,66,46,477.779041,saturated +Egglog,EPLEX,EPLEX,26,64,38,49.352333,saturated +Egglog,EPLEX,EPLEX,27,31,24,47.622250,saturated +Egglog,EPLEX,EPLEX,28,73,48,59.021000,saturated +Egglog,EPLEX,EPLEX,29,67,53,61.951208,saturated +Egglog,EPLEX,EPLEX,30,83,67,51.955375,saturated +Egglog,EPLEX,EPLEX,6,73,45,1812.553209,saturated +Egglog,EPLEX,EPLEX,25,96,45,3099.679291,saturated +Egglog,FEAT,FEAT,2,116,114,2675.306709,saturated +Egglog,FEAT,FEAT,4,142,112,2369.962625,saturated +Egglog,Operon,Operon,18,45,31,12270.911958,saturated +Egglog,FEAT,FEAT,1,217,187,10940.644916,saturated +Egglog,FEAT,FEAT,6,191,163,4250.472250,saturated +Egglog,FEAT,FEAT,5,269,227,10069.516125,saturated +Egglog,FEAT,FEAT,7,191,157,4784.424750,saturated +Egglog,FEAT,FEAT,3,194,160,13164.997500,saturated +Egglog,FEAT,FEAT,11,357,271,18099.805791,saturated +Egglog,FEAT,FEAT,9,202,172,18838.350250,saturated +Egglog,FEAT,FEAT,13,134,130,5357.171500,saturated +Egglog,FEAT,FEAT,12,154,136,8365.361084,saturated +Egglog,FEAT,FEAT,10,223,183,27856.841625,saturated +Egglog,FEAT,FEAT,14,184,159,7148.111458,saturated +Egglog,FEAT,FEAT,16,129,113,5335.383000,saturated +Egglog,FEAT,FEAT,8,241,203,39041.561125,saturated +Egglog,FEAT,FEAT,18,160,146,1906.356958,saturated +Egglog,FEAT,FEAT,20,151,129,1866.408500,saturated +Egglog,FEAT,FEAT,19,242,104,4575.022417,saturated +Egglog,FEAT,FEAT,22,168,158,3761.840625,saturated +Egglog,FEAT,FEAT,21,125,107,6844.487500,saturated +Egglog,FEAT,FEAT,17,174,116,14500.616917,saturated +Egglog,FEAT,FEAT,23,155,115,2968.172833,saturated +Egglog,FEAT,FEAT,25,138,122,4822.483750,saturated +Egglog,FEAT,FEAT,27,133,103,5166.333334,saturated +Egglog,FEAT,FEAT,15,416,279,29904.225375,saturated +Egglog,FEAT,FEAT,26,196,167,11262.057416,saturated +Egglog,FEAT,FEAT,24,170,152,15092.015583,saturated +Egglog,SBP,SBP,1,29,1,143.359542,saturated +Egglog,SBP,SBP,2,28,26,63.196000,saturated +Egglog,SBP,SBP,3,28,28,30.644417,saturated +Egglog,SBP,SBP,4,10,10,20.247375,saturated +Egglog,SBP,SBP,5,29,29,295.455167,saturated +Egglog,SBP,SBP,6,26,1,37.939000,saturated +Egglog,SBP,SBP,7,28,26,62.636542,saturated +Egglog,SBP,SBP,8,29,27,48.170167,saturated +Egglog,SBP,SBP,9,29,25,76.428709,saturated +Egglog,SBP,SBP,10,29,28,91.023416,saturated +Egglog,SBP,SBP,11,29,27,56.085625,saturated +Egglog,SBP,SBP,12,29,29,60.574750,saturated +Egglog,FEAT,FEAT,29,165,135,5571.941250,saturated +Egglog,SBP,SBP,14,27,26,53.534417,saturated +Egglog,FEAT,FEAT,30,131,113,4763.681125,saturated +Egglog,SBP,SBP,15,29,27,85.899000,saturated +Egglog,SBP,SBP,16,29,26,63.513167,saturated +Egglog,SBP,SBP,17,29,29,99.489083,saturated +Egglog,SBP,SBP,18,28,21,81.509875,saturated +Egglog,SBP,SBP,19,28,28,20.980417,saturated +Egglog,SBP,SBP,21,28,28,41.260125,saturated +Egglog,SBP,SBP,22,29,29,54.594250,saturated +Egglog,SBP,SBP,20,29,24,137.537458,saturated +Egglog,SBP,SBP,23,29,29,54.618333,saturated +Egglog,SBP,SBP,25,29,29,226.535583,saturated +Egglog,SBP,SBP,26,29,28,67.517708,saturated +Egglog,SBP,SBP,27,29,25,73.296375,saturated +Egglog,SBP,SBP,28,28,28,70.379792,saturated +Egglog,SBP,SBP,29,28,28,30.618459,saturated +Egglog,SBP,SBP,24,29,25,552.809500,saturated +Egglog,SBP,SBP,30,28,26,89.657458,saturated +Egglog,Bingo,Bingo,1,40,36,62.702958,saturated +Egglog,Bingo,Bingo,3,34,24,43.909500,saturated +Egglog,Bingo,Bingo,2,22,18,73.117166,saturated +Egglog,Bingo,Bingo,5,21,21,25.035625,saturated +Egglog,Bingo,Bingo,4,50,40,72.459500,saturated +Egglog,Bingo,Bingo,7,27,19,51.864125,saturated +Egglog,Bingo,Bingo,6,52,44,83.785250,saturated +Egglog,Bingo,Bingo,8,19,19,57.882584,saturated +Egglog,Bingo,Bingo,9,29,25,60.111417,saturated +Egglog,Bingo,Bingo,10,23,21,54.424917,saturated +Egglog,Bingo,Bingo,11,22,20,58.281750,saturated +Egglog,Bingo,Bingo,13,32,32,49.131041,saturated +Egglog,Bingo,Bingo,12,15,12,58.248917,saturated +Egglog,Bingo,Bingo,14,28,28,31.387791,saturated +Egglog,Bingo,Bingo,16,48,44,242.608167,saturated +Egglog,Bingo,Bingo,15,44,38,419.521667,saturated +Egglog,Bingo,Bingo,18,21,19,59.497542,saturated +Egglog,Bingo,Bingo,19,23,21,62.785208,saturated +Egglog,Bingo,Bingo,20,46,32,424.360833,saturated +Egglog,FEAT,FEAT,28,186,146,8980.431833,saturated +Egglog,Bingo,Bingo,22,26,26,24.990458,saturated +Egglog,Bingo,Bingo,23,26,26,38.838208,saturated +Egglog,Bingo,Bingo,24,28,22,44.786584,saturated +Egglog,Bingo,Bingo,21,37,27,365.354833,saturated +Egglog,Bingo,Bingo,26,15,15,21.652583,saturated +Egglog,Bingo,Bingo,25,18,16,43.366667,saturated +Egglog,Bingo,Bingo,28,37,37,47.020583,saturated +Egglog,Bingo,Bingo,29,15,15,32.776375,saturated +Egglog,Bingo,Bingo,30,25,23,64.492542,saturated +Egglog,Bingo,Bingo,27,52,50,170.342292,saturated +Egglog,SRjl,PySR,2,41,37,100.255583,saturated +Egglog,SRjl,PySR,3,39,31,67.543333,saturated +Egglog,Bingo,Bingo,17,58,36,3333.434542,saturated +Egglog,SRjl,PySR,4,40,31,2459.031166,saturated +Egglog,SRjl,PySR,5,42,36,609.322666,saturated +Egglog,SRjl,PySR,6,32,29,100.721792,saturated +Egglog,SRjl,PySR,7,37,24,58.742167,saturated +Egglog,SRjl,PySR,8,40,31,146.059417,saturated +Egglog,SRjl,PySR,9,37,27,132.030833,saturated +Egglog,SRjl,PySR,11,35,27,56.076750,saturated +Egglog,SRjl,PySR,10,45,30,74.886125,saturated +Egglog,SRjl,PySR,13,44,36,460.011500,saturated +Egglog,SRjl,PySR,14,43,37,62.262708,saturated +Egglog,SRjl,PySR,15,43,33,2958.407042,saturated +Egglog,SRjl,PySR,12,41,33,4074.732625,saturated +Egglog,SRjl,PySR,17,44,42,102.848750,saturated +Egglog,SRjl,PySR,18,44,43,125.789666,saturated +Egglog,SRjl,PySR,19,44,36,147.283542,saturated +Egglog,SRjl,PySR,16,45,30,1341.010291,saturated +Egglog,SRjl,PySR,21,31,23,74.662458,saturated +Egglog,SRjl,PySR,1,44,34,8812.673666,saturated +Egglog,SRjl,PySR,20,42,23,1928.663083,saturated +Egglog,SRjl,PySR,24,29,26,50.395416,saturated +Egglog,SRjl,PySR,23,38,19,1121.870250,saturated +Egglog,SRjl,PySR,26,45,39,599.320542,saturated +Egglog,SRjl,PySR,22,41,21,2772.032042,saturated +Egglog,SRjl,PySR,27,45,34,165.503959,saturated +Egglog,SRjl,PySR,29,43,29,59.976375,saturated +Egglog,SRjl,PySR,30,28,26,47.211542,saturated +Egglog,SRjl,PySR,28,45,36,1329.933167,saturated +Egglog,SRjl,PySR,25,41,27,7912.424375,saturated +Egglog,SBP,SBP,13,29,27,41802.704584,saturated diff --git a/python/egglog/exp/param_eq/compare_trace.py b/python/egglog/exp/param_eq/compare_trace.py deleted file mode 100644 index d28f5669..00000000 --- a/python/egglog/exp/param_eq/compare_trace.py +++ /dev/null @@ -1,365 +0,0 @@ -"""Compare stepwise Haskell and Egglog param-eq traces.""" - -from __future__ import annotations - -import argparse -import json -from collections import Counter, defaultdict -from dataclasses import dataclass -from pathlib import Path -from typing import Any - -from egglog.exp.param_eq.paths import GOLDEN_PATH -from egglog.exp.param_eq.trace_egglog import TRACE_ROOT, trace_egglog_case -from egglog.exp.param_eq.trace_haskell import haskell_trace_available, trace_haskell_case -from egglog.exp.param_eq.trace_tables import JsonValue, SnapshotTables, read_snapshot - -REDUCED_TOY_SOURCE = "(-2.2516087483e-06) + (-0.009788252341175882 * ((x0 * x0) + 1))" -REDUCED_TOY_CASE_ID = "reduced_pagie_second_pass_toy" - - -@dataclass(frozen=True) -class StepDifference: - """The first detected difference for one comparison boundary.""" - - step: str - aspect: str - detail: str - - -@dataclass(frozen=True) -class ComparisonSummary: - """User-facing summary of the first detected divergence.""" - - case_id: str - first_differing_step: str | None - first_differing_aspect: str | None - likely_phase: str | None - detail: str | None - ignored_aspects: tuple[str, ...] = () - - def to_jsonable(self) -> dict[str, JsonValue]: - return { - "case_id": self.case_id, - "first_differing_step": self.first_differing_step, - "first_differing_aspect": self.first_differing_aspect, - "likely_phase": self.likely_phase, - "detail": self.detail, - "ignored_aspects": list(self.ignored_aspects), - } - - -def _known_case_sources() -> dict[str, str]: - payload = json.loads(GOLDEN_PATH.read_text()) - result = {case["case_id"]: case["source"] for case in payload["cases"]} - result[REDUCED_TOY_CASE_ID] = REDUCED_TOY_SOURCE - return result - - -def _step_sort_key(step: str) -> tuple[int, int, int, int]: - if step == "final_simplify_e": - return (99, 99, 99, 99) - parts = step.split("_") - outer_pass = int(parts[1]) - if parts[2] == "pass": - return (outer_pass, 0, 0, 0) - if parts[2] == "extract": - return (outer_pass, 98, 0, 0) - inner_iteration = int(parts[3]) - phase = parts[-1] - phase_rank = 0 if phase == "rewrite" else 1 - return (outer_pass, inner_iteration, phase_rank, 0) - - -def _load_system_steps(case_id: str, system: str, *, trace_root: Path) -> dict[str, SnapshotTables]: - directory = trace_root / case_id / system - return {path.stem: read_snapshot(path) for path in sorted(directory.glob("*.json"))} - - -def _analysis_key(value: object) -> str: - if isinstance(value, dict): - kind = value.get("kind") - if kind == "none": - return "none" - if kind == "some": - return f"some:{float(value['value']):.12g}" - return json.dumps(value, sort_keys=True) - - -def _string_list(value: object) -> list[str]: - if isinstance(value, list): - return [str(item) for item in value] - return [] - - -def _canonical_numeric(text: str) -> str: - stripped = text.strip() - if stripped.startswith("(") and stripped.endswith(")"): - stripped = stripped[1:-1].strip() - try: - return str(float(stripped)) - except ValueError: - return stripped - - -def _normalize_egglog_signature(snapshot: SnapshotTables, *, include_best_expr: bool) -> Counter[str]: - if include_best_expr: - return Counter(str(row["signature"]) for row in snapshot.tables["classes"]) - return Counter(str(row["semantic_signature"]) for row in snapshot.tables["classes"]) - - -def _normalize_haskell_signature(snapshot: SnapshotTables, *, include_best_expr: bool) -> Counter[str]: # noqa: C901 - class_rows = {str(row["class_id"]): row for row in snapshot.tables["classes"]} - nodes_by_class: dict[str, list[dict[str, Any]]] = defaultdict(list) - for node in snapshot.tables["nodes"]: - nodes_by_class[str(node["class_id"])].append(node) - - cache: dict[str, str] = {} - active: set[str] = set() - - def node_signature(node: dict[str, Any]) -> str: # noqa: C901, PLR0911 - op = str(node["op"]) - children = _string_list(node.get("children")) - if op.startswith("VarF "): - return f"Var(x{op.removeprefix('VarF ').strip()})" - if op.startswith("ConstF "): - return f"Const({_canonical_numeric(op.removeprefix('ConstF ').strip())})" - if op.startswith("AddF"): - return f"Add({','.join(class_signature(child) for child in children)})" - if op.startswith("SubF"): - return f"Sub({','.join(class_signature(child) for child in children)})" - if op.startswith("MulF"): - return f"Mul({','.join(class_signature(child) for child in children)})" - if op.startswith("DivF"): - return f"Div({','.join(class_signature(child) for child in children)})" - if op.startswith("PowerF"): - return f"Pow({','.join(class_signature(child) for child in children)})" - if op.startswith("FunF Exp"): - return f"Exp({class_signature(children[0])})" - if op.startswith("FunF Log"): - return f"Log({class_signature(children[0])})" - if op.startswith("FunF Sqrt"): - return f"Sqrt({class_signature(children[0])})" - if op.startswith("FunF Abs"): - return f"Abs({class_signature(children[0])})" - return f"{op}({','.join(class_signature(child) for child in children)})" - - def class_signature(class_id: str) -> str: - if class_id not in class_rows: - return f"External({class_id})" - if class_id in cache: - return cache[class_id] - if class_id in active: - return f"Cycle({class_id})" - active.add(class_id) - row = class_rows[class_id] - members = sorted(node_signature(node) for node in nodes_by_class[class_id]) - prefix = f"{_analysis_key(row['analysis'])}|" - if include_best_expr: - best_expr = str(row.get("best_expr", "")) - prefix = f"{prefix}best:{best_expr}|" - signature = f"{prefix}{'||'.join(members)}" - cache[class_id] = signature - active.remove(class_id) - return signature - - return Counter(class_signature(class_id) for class_id in sorted(class_rows)) - - -def _compare_snapshots( - left: SnapshotTables, - right: SnapshotTables, - *, - ignored_aspects: frozenset[str] = frozenset(), -) -> StepDifference | None: - left_root = left.tables["root"][0] if left.tables["root"] else {} - right_root = right.tables["root"][0] if right.tables["root"] else {} - if "root_extracted_expr" not in ignored_aspects and left_root.get("extracted_expr") != right_root.get("extracted_expr"): - return StepDifference( - str(right.metadata["step"]), - "root_extracted_expr", - f"{left_root.get('extracted_expr')} != {right_root.get('extracted_expr')}", - ) - if "root_analysis" not in ignored_aspects and _analysis_key(left.metadata.get("root_analysis")) != _analysis_key( - right.metadata.get("root_analysis") - ): - return StepDifference( - str(right.metadata["step"]), - "root_analysis", - f"{left.metadata.get('root_analysis')} != {right.metadata.get('root_analysis')}", - ) - count_keys = ("class_count", "node_count", "memo_size") - for key in count_keys: - if key in ignored_aspects: - continue - left_value = left.metadata.get(key) - right_value = right.metadata.get(key) - if left_value is None or right_value is None: - continue - if left_value != right_value: - return StepDifference( - str(right.metadata["step"]), key, f"{left.metadata.get(key)} != {right.metadata.get(key)}" - ) - include_best_expr = "class_best_expr" not in ignored_aspects - left_classes = ( - _normalize_egglog_signature(left, include_best_expr=include_best_expr) - if left.metadata["system"] == "egglog" - else _normalize_haskell_signature(left, include_best_expr=include_best_expr) - ) - right_classes = ( - _normalize_egglog_signature(right, include_best_expr=include_best_expr) - if right.metadata["system"] == "egglog" - else _normalize_haskell_signature(right, include_best_expr=include_best_expr) - ) - if "normalized_classes" not in ignored_aspects and left_classes != right_classes: - return StepDifference(str(right.metadata["step"]), "normalized_classes", "class signature multiset differs") - return None - - -def compare_case_traces( - case_id: str, - *, - trace_root: Path = TRACE_ROOT, - ignored_aspects: frozenset[str] = frozenset(), -) -> ComparisonSummary: - """Compare one traced case and return the first differing phase.""" - egg_steps = _load_system_steps(case_id, "egglog", trace_root=trace_root) - hs_steps = _load_system_steps(case_id, "haskell", trace_root=trace_root) - - for step in sorted(hs_steps, key=_step_sort_key): - if step.endswith("_pass_start"): - if step not in egg_steps: - # Later outer-pass checkpoints can disappear when the systems - # only differ by which equal-cost representative was extracted. - if ignored_aspects & {"root_extracted_expr", "class_best_expr"}: - continue - return ComparisonSummary( - case_id, - step, - "missing_step", - "analysis", - f"Egglog trace did not emit step {step!r}", - tuple(sorted(ignored_aspects)), - ) - diff = _compare_snapshots(egg_steps[step], hs_steps[step], ignored_aspects=ignored_aspects) - if diff is not None: - return ComparisonSummary(case_id, diff.step, diff.aspect, "analysis", diff.detail, tuple(sorted(ignored_aspects))) - continue - if step.endswith("_after_rebuild"): - rewrite_step = step.replace("_after_rebuild", "_after_rewrite") - analysis_step = step.replace("_after_rebuild", "_after_analysis") - if rewrite_step not in egg_steps or analysis_step not in egg_steps: - return ComparisonSummary( - case_id, - step, - "missing_step", - "rewrite", - f"Egglog trace did not emit rewrite/analysis checkpoints for {step!r}", - tuple(sorted(ignored_aspects)), - ) - rewrite_diff = _compare_snapshots(egg_steps[rewrite_step], hs_steps[step], ignored_aspects=ignored_aspects) - analysis_diff = _compare_snapshots(egg_steps[analysis_step], hs_steps[step], ignored_aspects=ignored_aspects) - if analysis_diff is None: - continue - if rewrite_diff is None: - return ComparisonSummary( - case_id, - analysis_diff.step, - analysis_diff.aspect, - "analysis", - analysis_diff.detail, - tuple(sorted(ignored_aspects)), - ) - return ComparisonSummary( - case_id, - rewrite_diff.step, - rewrite_diff.aspect, - "rewrite", - rewrite_diff.detail, - tuple(sorted(ignored_aspects)), - ) - if step not in egg_steps: - return ComparisonSummary( - case_id, - step, - "missing_step", - "extraction", - f"Egglog trace did not emit step {step!r}", - tuple(sorted(ignored_aspects)), - ) - diff = _compare_snapshots(egg_steps[step], hs_steps[step], ignored_aspects=ignored_aspects) - if diff is not None: - return ComparisonSummary(case_id, diff.step, diff.aspect, "extraction", diff.detail, tuple(sorted(ignored_aspects))) - - return ComparisonSummary(case_id, None, None, None, None, tuple(sorted(ignored_aspects))) - - -def write_comparison_report(summary: ComparisonSummary, *, trace_root: Path = TRACE_ROOT) -> tuple[Path, Path]: - """Write JSON and Markdown comparison summaries beside the trace output.""" - case_dir = trace_root / summary.case_id - case_dir.mkdir(parents=True, exist_ok=True) - json_path = case_dir / "comparison_summary.json" - md_path = case_dir / "comparison_summary.md" - json_path.write_text(json.dumps(summary.to_jsonable(), indent=2, sort_keys=False) + "\n") - if summary.first_differing_step is None: - markdown = f"# {summary.case_id}\n\nNo divergence was detected in the traced checkpoints.\n" - else: - markdown = "\n".join([ - f"# {summary.case_id}", - "", - f"- First differing step: `{summary.first_differing_step}`", - f"- First differing aspect: `{summary.first_differing_aspect}`", - f"- Likely phase: `{summary.likely_phase}`", - f"- Detail: {summary.detail}", - ( - f"- Ignored aspects: `{', '.join(summary.ignored_aspects)}`" - if summary.ignored_aspects - else "- Ignored aspects: none" - ), - "", - ]) - md_path.write_text(markdown) - return json_path, md_path - - -def trace_and_compare_case( - *, - case_id: str, - source: str, - trace_root: Path = TRACE_ROOT, - ignored_aspects: frozenset[str] = frozenset(), -) -> ComparisonSummary: - """Run both traces, compare them, and persist the summary.""" - trace_egglog_case(case_id=case_id, source=source, output_root=trace_root) - trace_haskell_case(case_id=case_id, source=source, output_root=trace_root) - summary = compare_case_traces(case_id, trace_root=trace_root, ignored_aspects=ignored_aspects) - write_comparison_report(summary, trace_root=trace_root) - return summary - - -def _cli() -> None: - parser = argparse.ArgumentParser(description=__doc__) - parser.add_argument("--case-id", required=True) - parser.add_argument("--source") - parser.add_argument("--ignore-aspect", action="append", default=[]) - args = parser.parse_args() - - if not haskell_trace_available(): - msg = "Haskell trace prerequisites are not available" - raise SystemExit(msg) - - known_sources = _known_case_sources() - source = args.source or known_sources.get(args.case_id) - if source is None: - msg = f"Unknown case id {args.case_id!r}; pass --source explicitly" - raise SystemExit(msg) - summary = trace_and_compare_case( - case_id=args.case_id, - source=source, - ignored_aspects=frozenset(args.ignore_aspect), - ) - print(json.dumps(summary.to_jsonable(), indent=2, sort_keys=False)) - - -if __name__ == "__main__": - _cli() diff --git a/python/egglog/exp/param_eq/inspect_case.py b/python/egglog/exp/param_eq/inspect_case.py deleted file mode 100644 index ba4a4b66..00000000 --- a/python/egglog/exp/param_eq/inspect_case.py +++ /dev/null @@ -1,158 +0,0 @@ -"""Inspect one retained param-eq case through the Egglog replication pipeline.""" - -from __future__ import annotations - -import argparse -import json -import time -from collections import Counter - -from egglog import EGraph, f64 -from egglog.deconstruct import get_callable_args -from egglog.egraph import Ruleset, UnstableCombinedRuleset -from egglog.exp.param_eq import pipeline as param_eq_hegg -from egglog.exp.param_eq.paths import GOLDEN_PATH - -GOLDEN_FIXTURE = GOLDEN_PATH - - -def _load_case_source(case_id: str | None, expr: str | None) -> tuple[str, str]: - if expr is not None: - return expr, expr - if case_id is None: - msg = "Either --case-id or --expr is required" - raise ValueError(msg) - cases = json.loads(GOLDEN_FIXTURE.read_text())["cases"] - case = next(case for case in cases if case["case_id"] == case_id) - return str(case["source"]), case_id - - -def _schedule_for_variant(variant: str): - basic_rules = { - "add_comm": param_eq_hegg.basic_add_comm_rules, - "mul_comm": param_eq_hegg.basic_mul_comm_rules, - "add_assoc": param_eq_hegg.basic_add_assoc_rules, - "mul_assoc": param_eq_hegg.basic_mul_assoc_rules, - "product_regroup": param_eq_hegg.basic_product_regroup_rules, - "other": param_eq_hegg.basic_other_rules, - } - - if variant.startswith("baseline_without_"): - disabled = variant.removeprefix("baseline_without_") - selected_basic: Ruleset | UnstableCombinedRuleset | None = None - for name, ruleset in basic_rules.items(): - if name == disabled: - continue - selected_basic = ruleset if selected_basic is None else selected_basic | ruleset - if selected_basic is None: - msg = f"No rewrite rules left after disabling {disabled}" - raise ValueError(msg) - rewrite_schedule = param_eq_hegg.run( - selected_basic | param_eq_hegg.fun_rules, scheduler=param_eq_hegg.scheduler - ) - analysis_round = param_eq_hegg.analysis_schedule.saturate() + rewrite_schedule - return param_eq_hegg.scheduler.scope(analysis_round.saturate(stop_when_no_updates=True)) - if variant == "baseline": - return param_eq_hegg.total_ruleset - if variant == "baseline_with_add_comm": - rewrite_schedule = param_eq_hegg.run( - param_eq_hegg.basic_rules | param_eq_hegg.fun_rules, scheduler=param_eq_hegg.scheduler - ) - analysis_round = param_eq_hegg.analysis_schedule.saturate() + rewrite_schedule - return param_eq_hegg.scheduler.scope(analysis_round.saturate(stop_when_no_updates=True)) - if variant == "single_pair": - return param_eq_hegg.analysis_rewrite_round - if variant == "two_rounds": - return param_eq_hegg.scheduler.scope( - param_eq_hegg.analysis_rewrite_round + param_eq_hegg.analysis_rewrite_round - ) - msg = f"Unsupported variant: {variant}" - raise ValueError(msg) - - -def _render_optional(value: param_eq_hegg.OptionalF64) -> dict[str, float | str | None]: - match get_callable_args(value, param_eq_hegg.OptionalF64.some): - case (inner,) if isinstance(inner, f64): - return {"kind": "some", "value": float(inner.value)} - case _: - return {"kind": "none", "value": None} - - -def _top_mapping(mapping: dict[str, object], limit: int = 10) -> list[tuple[str, float]]: - normalized: list[tuple[str, float]] = [] - for key, value in mapping.items(): - if hasattr(value, "total_seconds"): - normalized.append((key, float(value.total_seconds()))) - elif isinstance(value, int | float): - normalized.append((key, float(value))) - else: - msg = f"Unsupported run-report value for {key}: {value!r}" - raise TypeError(msg) - normalized.sort(key=lambda item: item[1], reverse=True) - return normalized[:limit] - - -def main() -> None: - parser = argparse.ArgumentParser(description=__doc__) - parser.add_argument("--case-id") - parser.add_argument("--expr") - parser.add_argument( - "--variant", - choices=( - "baseline", - "baseline_with_add_comm", - "single_pair", - "two_rounds", - "baseline_without_add_comm", - "baseline_without_mul_comm", - "baseline_without_add_assoc", - "baseline_without_mul_assoc", - "baseline_without_product_regroup", - ), - default="baseline", - ) - args = parser.parse_args() - - source, label = _load_case_source(args.case_id, args.expr) - expr = param_eq_hegg.parse_expression(source) - schedule = _schedule_for_variant(args.variant) - - egraph = EGraph() - egraph.register(expr) - - start = time.perf_counter() - run_report = egraph.run(schedule) - elapsed = time.perf_counter() - start - extracted, cost = egraph.extract(expr, include_cost=True) - extracted_analysis = egraph.extract(param_eq_hegg.const_value(expr)) - total_size = sum(size for _, size in egraph.all_function_sizes()) - payload = json.loads(egraph._serialize().to_json()) - ops = Counter(node["op"] for node in payload.get("nodes", {}).values()) - - print( - json.dumps( - { - "case": label, - "variant": args.variant, - "elapsed_sec": elapsed, - "updated": bool(run_report.updated), - "can_stop": bool(getattr(run_report, "can_stop", False)), - "rendered": param_eq_hegg.render_num(extracted), - "cost": int(cost), - "analysis": _render_optional(extracted_analysis), - "total_size": total_size, - "node_count": len(payload.get("nodes", {})), - "eclass_count": len(payload.get("class_data", {})), - "top_ops": ops.most_common(10), - "top_rule_matches": _top_mapping(getattr(run_report, "num_matches_per_rule", {})), - "top_rule_times": _top_mapping(getattr(run_report, "search_and_apply_time_per_rule", {})), - "top_ruleset_times": _top_mapping(getattr(run_report, "search_and_apply_time_per_ruleset", {})), - }, - indent=2, - sort_keys=True, - ) - ) - - -if __name__ == "__main__": - main() diff --git a/python/egglog/exp/param_eq/normalize_archives.py b/python/egglog/exp/param_eq/normalize_archives.py index 17a59cfa..1db9be38 100644 --- a/python/egglog/exp/param_eq/normalize_archives.py +++ b/python/egglog/exp/param_eq/normalize_archives.py @@ -61,11 +61,20 @@ def _load_expression_lines(source_dir: Path, relative_path: Path) -> list[str]: return [line.strip() for line in _read_text(source_dir, relative_path).splitlines() if line.strip()] +def _load_results_rows_by_algorithm(source_dir: Path, dataset: str) -> dict[str, list[dict[str, str]]]: + rows = _read_csv_text(_read_text(source_dir, Path("results") / f"{dataset}_results")) + grouped: defaultdict[str, list[dict[str, str]]] = defaultdict(list) + for row in rows: + grouped[row["algorithm"]].append(row) + return dict(grouped) + + def _normalize_haskell_rows(source_dir: Path) -> list[dict[str, str]]: rows: list[dict[str, str]] = [] for dataset in DATASETS: table_path = Path("results") / f"{dataset}_table_counts.csv" raw_rows = _read_csv_text(_read_text(source_dir, table_path)) + results_rows_by_algorithm = _load_results_rows_by_algorithm(source_dir, dataset) exprs_by_algorithm = { path_algorithm: _load_expression_lines( source_dir, @@ -73,20 +82,13 @@ def _normalize_haskell_rows(source_dir: Path) -> list[dict[str, str]]: ) for path_algorithm in ("Bingo", "EPLEX", "FEAT", "GOMEA", "Operon", "SBP", "SRjl") } - sympy_by_algorithm = { - path_algorithm: _load_expression_lines( - source_dir, - Path("results") / "exprs_simpl" / f"{path_algorithm}_exprs_{dataset}", - ) - for path_algorithm in ("Bingo", "EPLEX", "FEAT", "GOMEA", "Operon", "SBP", "SRjl") - } algo_counts: defaultdict[str, int] = defaultdict(int) for raw_index, raw_row in enumerate(raw_rows): raw_algorithm = raw_row["algorithm"] algo_counts[raw_algorithm] += 1 algo_row = algo_counts[raw_algorithm] exprs = exprs_by_algorithm[raw_algorithm] - sympy_exprs = sympy_by_algorithm[raw_algorithm] + sympy_exprs = results_rows_by_algorithm[raw_algorithm] is_paper_row, drop_reason = _paper_row_status(dataset, raw_index, raw_algorithm, raw_row["n_rank"]) row = { "dataset": dataset, @@ -97,7 +99,7 @@ def _normalize_haskell_rows(source_dir: Path) -> list[dict[str, str]]: "is_paper_row": "1" if is_paper_row else "0", "drop_reason": drop_reason, "original_expr": exprs[algo_row - 1], - "sympy_expr": sympy_exprs[algo_row - 1], + "sympy_expr": sympy_exprs[algo_row - 1]["expr_sympy"].strip(), } for key, value in raw_row.items(): if key == "": diff --git a/python/egglog/exp/param_eq/pipeline.py b/python/egglog/exp/param_eq/pipeline.py index e4aa74d1..34431cc3 100644 --- a/python/egglog/exp/param_eq/pipeline.py +++ b/python/egglog/exp/param_eq/pipeline.py @@ -42,7 +42,8 @@ import time from collections.abc import Iterable, Mapping from dataclasses import dataclass -from typing import ClassVar, Literal, TypeAlias, cast +from itertools import count +from typing import ClassVar, Literal, TypeAlias import egglog from egglog import * @@ -50,7 +51,6 @@ from egglog.egraph import FactLike __all__ = [ - "Mode", "Num", "NumLike", "PaperPipelineReport", @@ -64,19 +64,10 @@ MAX_PASSES = 2 HASKELL_INNER_ITERATION_LIMIT = 30 -BACKOFF_MATCH_LIMIT = 2500 +BACKOFF_MATCH_LIMIT = 1000 BACKOFF_BAN_LENGTH = 30 CONST_MERGE_TOLERANCE = 1e-6 -Mode = Literal[ - "egglog-baseline", - "egglog-haskell-literal", - "no-haskell-backoff", - "no-graph-size-stop", - "no-bound-scheduler", - "no-fresh-rematch", -] - # Language and ruleset declarations language_rules = ruleset(name="param_eq_hegg_lang") @@ -464,9 +455,15 @@ def _const_propagation( # Guard helpers GuardConditions: TypeAlias = tuple[FactLike, ...] GuardCases: TypeAlias = tuple[GuardConditions, ...] +_CONST_GUARD_COUNTER = count() + +def _fresh_const_guard_value(prefix: str = "_const_value") -> f64: + return var(f"{prefix}_{next(_CONST_GUARD_COUNTER)}", f64) -def is_const(num: Num, value: f64) -> GuardConditions: +def is_const(num: Num, value: f64 | None = None) -> GuardConditions: + if value is None: + value = _fresh_const_guard_value() return (const_value(num) == OptionalF64.some(value),) @@ -474,19 +471,27 @@ def is_not_const(num: Num) -> GuardConditions: return (const_value(num) == OptionalF64.none,) -def _is_nonnegative_const(num: Num, value: f64) -> GuardConditions: +def _is_nonnegative_const(num: Num, value: f64 | None = None) -> GuardConditions: + if value is None: + value = _fresh_const_guard_value("_nonnegative_const_value") return (*is_const(num, value), value >= 0.0) -def _is_positive_const(num: Num, value: f64) -> GuardConditions: +def _is_positive_const(num: Num, value: f64 | None = None) -> GuardConditions: + if value is None: + value = _fresh_const_guard_value("_positive_const_value") return (*is_const(num, value), value > 0.0) -def is_negative(num: Num, value: f64) -> GuardConditions: +def is_negative(num: Num, value: f64 | None = None) -> GuardConditions: + if value is None: + value = _fresh_const_guard_value("_negative_const_value") return (*is_const(num, value), value < 0.0) -def is_not_zero(num: Num, value: f64) -> GuardCases: +def is_not_zero(num: Num, value: f64 | None = None) -> GuardCases: + if value is None: + value = _fresh_const_guard_value("_nonzero_const_value") return ( is_not_const(num), _is_positive_const(num, value), @@ -494,7 +499,16 @@ def is_not_zero(num: Num, value: f64) -> GuardCases: ) -def is_not_neg_consts(left: Num, right: Num, left_value: f64, right_value: f64) -> GuardCases: +def is_not_neg_consts( + left: Num, + right: Num, + left_value: f64 | None = None, + right_value: f64 | None = None, +) -> GuardCases: + if left_value is None: + left_value = _fresh_const_guard_value("_left_nonnegative_const_value") + if right_value is None: + right_value = _fresh_const_guard_value("_right_nonnegative_const_value") return ( _is_nonnegative_const(left, left_value), _is_nonnegative_const(right, right_value), @@ -587,11 +601,11 @@ def _basic_mul_div(x: Num, y: Num, z: Num) -> Iterable[RewriteOrRule]: @basic_product_regroup_rules.register -def _basic_product_regroup(a: Num, b: Num, x: Num, y: Num, ca: f64, cb: f64) -> Iterable[RewriteOrRule]: +def _basic_product_regroup(a: Num, b: Num, x: Num, y: Num) -> Iterable[RewriteOrRule]: yield rewrite((a * x) * (b * y)).to( (a * b) * (x * y), - *is_const(a, ca), - *is_const(b, cb), + *is_const(a), + *is_const(b), *is_not_const(x), *is_not_const(y), ) @@ -606,11 +620,6 @@ def _basic_rewrites( b: Num, c: Num, d: Num, - ca: f64, - cb: f64, - cc: f64, - cd: f64, - e: f64, ) -> Iterable[RewriteOrRule]: """ Translation of `FixTree.rewritesBasic`. @@ -621,120 +630,120 @@ def _basic_rewrites( """ yield rewrite(a * x + b).to( a * (x + (b / a)), - *is_const(a, ca), - *is_const(b, cb), + *is_const(a), + *is_const(b), *is_not_const(x), ) yield rewrite(a * x - b).to( a * (x - (b / a)), - *is_const(a, ca), - *is_const(b, cb), + *is_const(a), + *is_const(b), *is_not_const(x), ) yield rewrite(b - (a * x)).to( a * ((b / a) - x), - *is_const(a, ca), - *is_const(b, cb), + *is_const(a), + *is_const(b), *is_not_const(x), ) yield rewrite(a * x + (b * y)).to( a * (x + ((b / a) * y)), - *is_const(a, ca), - *is_const(b, cb), + *is_const(a), + *is_const(b), *is_not_const(x), *is_not_const(y), ) yield rewrite(a * x - (b * y)).to( a * (x - ((b / a) * y)), - *is_const(a, ca), - *is_const(b, cb), + *is_const(a), + *is_const(b), *is_not_const(x), *is_not_const(y), ) yield rewrite(a * x + (b / y)).to( a * (x + ((b / a) / y)), - *is_const(a, ca), - *is_const(b, cb), + *is_const(a), + *is_const(b), *is_not_const(x), *is_not_const(y), ) yield rewrite(a * x - (b / y)).to( a * (x - ((b / a) / y)), - *is_const(a, ca), - *is_const(b, cb), + *is_const(a), + *is_const(b), *is_not_const(x), *is_not_const(y), ) yield rewrite(a / (b * x)).to( (a / b) / x, - *is_const(a, ca), - *is_const(b, cb), + *is_const(a), + *is_const(b), *is_not_const(x), ) yield rewrite(x / (b * y)).to( (Num(1.0) / b) * x / y, - *is_const(b, cb), + *is_const(b), *is_not_const(x), *is_not_const(y), ) yield rewrite((x / a) + b).to( (x + (b * a)) / a, - *is_const(a, ca), - *is_const(b, cb), + *is_const(a), + *is_const(b), *is_not_const(x), ) yield rewrite((x / a) - b).to( (x - (b * a)) / a, - *is_const(a, ca), - *is_const(b, cb), + *is_const(a), + *is_const(b), *is_not_const(x), ) yield rewrite(b - (x / a)).to( ((b * a) - x) / a, - *is_const(a, ca), - *is_const(b, cb), + *is_const(a), + *is_const(b), *is_not_const(x), ) yield rewrite((x / a) + (b * y)).to( (x + ((b * a) * y)) / a, - *is_const(a, ca), - *is_const(b, cb), + *is_const(a), + *is_const(b), *is_not_const(x), *is_not_const(y), ) yield rewrite((x / a) + (y / b)).to( (x + (y / (b * a))) / a, - *is_const(a, ca), - *is_const(b, cb), + *is_const(a), + *is_const(b), *is_not_const(x), *is_not_const(y), ) yield rewrite((x / a) - (b * y)).to( (x - ((b * a) * y)) / a, - *is_const(a, ca), - *is_const(b, cb), + *is_const(a), + *is_const(b), *is_not_const(x), *is_not_const(y), ) yield rewrite((x / a) - (b / y)).to( (x - (y / (b * a))) / a, - *is_const(a, ca), - *is_const(b, cb), + *is_const(a), + *is_const(b), *is_not_const(x), *is_not_const(y), ) yield rewrite((b + (a * x)) / (c + (d * y))).to( (a / d) * (((b / a) + x) / ((c / d) + y)), - *is_const(a, ca), - *is_const(b, cb), - *is_const(c, cc), - *is_const(d, cd), + *is_const(a), + *is_const(b), + *is_const(c), + *is_const(d), ) yield rewrite((b + x) / (c + (d * y))).to( (Num(1.0) / d) * ((b + x) / ((c / d) + y)), - *is_const(b, cb), - *is_const(c, cc), - *is_const(d, cd), + *is_const(b), + *is_const(c), + *is_const(d), ) yield rewrite(Num(0.0) + x).to(x) @@ -743,7 +752,7 @@ def _basic_rewrites( yield rewrite(Num(0.0) * x).to(Num(0.0)) yield rewrite(Num(0.0) / x).to(Num(0.0)) yield rewrite(x - x).to(Num(0.0)) - for guard in is_not_zero(x, ca): + for guard in is_not_zero(x): yield rewrite(x / x).to(Num(1.0), *guard) yield rewrite((x * y) + (x * z)).to(x * (y + z)) yield rewrite(x - (y + z)).to((x - y) - z) @@ -751,16 +760,16 @@ def _basic_rewrites( yield rewrite(Num(-1.0) * (x + y)).to((Num(-1.0) * x) - y) yield rewrite(x - a).to( x + (Num(-1.0) * a), - *is_const(a, ca), + *is_const(a), *is_not_const(x), ) yield rewrite(x - (a * y)).to( x + ((Num(-1.0) * a) * y), - *is_const(a, ca), + *is_const(a), *is_not_const(y), ) yield rewrite((Num(1.0) / x) * (Num(1.0) / y)).to(Num(1.0) / (x * y)) - for guard in is_not_zero(x, ca): + for guard in is_not_zero(x): yield rewrite(x * (Num(1.0) / x)).to(Num(1.0), *guard) yield rewrite(x - (Num(-1.0) * y)).to(x + y, *is_not_const(y)) yield rewrite(x + (Num(-1.0) * y)).to(x - y, *is_not_const(y)) @@ -873,7 +882,6 @@ def _fun_rewrites(x: Num, y: Num, a: Num, b: Num, c: f64, d: f64) -> Iterable[Re @dataclass(frozen=True) class PaperPipelineReport: - mode: Mode status: str passes: int total_sec: float @@ -889,16 +897,6 @@ class PaperPipelineReport: extracted_cost: int -@dataclass(frozen=True) -class ScheduleModeConfig: - """Low-level EqSat controls for one `rewriteTree`-like pass.""" - - persistent_scheduler: bool - fresh_rematch: bool - haskell_backoff: bool - graph_size_stop: bool - - def _normalize_expression(source: str) -> str: return source.strip().replace("^", "**") @@ -1271,57 +1269,6 @@ def _serialized_counts(egraph: egglog.EGraph) -> tuple[int, int]: payload = json.loads(egraph._serialize().to_json()) return len(payload.get("nodes", {})), len(payload.get("class_data", {})) - -MODE_CONFIGS: dict[Mode, ScheduleModeConfig] = { - "egglog-baseline": ScheduleModeConfig( - persistent_scheduler=True, - fresh_rematch=True, - haskell_backoff=True, - graph_size_stop=True, - ), - # Historical alias kept so old commands and notes still resolve to the - # retained baseline. - "egglog-haskell-literal": ScheduleModeConfig( - persistent_scheduler=True, - fresh_rematch=True, - haskell_backoff=True, - graph_size_stop=True, - ), - "no-haskell-backoff": ScheduleModeConfig( - persistent_scheduler=True, - fresh_rematch=True, - haskell_backoff=False, - graph_size_stop=True, - ), - "no-graph-size-stop": ScheduleModeConfig( - persistent_scheduler=True, - fresh_rematch=True, - haskell_backoff=True, - graph_size_stop=False, - ), - "no-bound-scheduler": ScheduleModeConfig( - persistent_scheduler=False, - fresh_rematch=True, - haskell_backoff=True, - graph_size_stop=True, - ), - "no-fresh-rematch": ScheduleModeConfig( - persistent_scheduler=True, - fresh_rematch=False, - haskell_backoff=True, - graph_size_stop=True, - ), -} - - -# Haskell runs one `equalitySaturation' (BackoffScheduler 2500 30)` per outer -# pass, and `simplifyE` repeats that extracted result up to twice. The retained -# pipeline now mirrors that control flow directly through the low-level bound -# scheduler path in `_run_single_pass_haskell_literal`. -# -# The schedule objects below remain as a small bounded helper for local e-graph -# checks and historical experiments, but they are no longer the retained -# `run_paper_pipeline` baseline. analysis_schedule = const_merge_rules | const_seed_rules | const_propagation_rules | const_prune_rules basic_rules = ( basic_add_comm_rules @@ -1332,136 +1279,58 @@ def _serialized_counts(egraph: egglog.EGraph) -> tuple[int, int]: | basic_product_regroup_rules | basic_other_rules ) -# The retained baseline should keep the Haskell rewrite set intact. If the -# current schedule still diverges from Haskell, that should be diagnosed as a -# schedule or engine issue rather than by silently dropping `add_comm`. -baseline_basic_rules = basic_rules -scheduler = back_off(match_limit=BACKOFF_MATCH_LIMIT, ban_length=BACKOFF_BAN_LENGTH, egg_like=True) -rewrite_schedule = run(baseline_basic_rules | fun_rules, scheduler=scheduler) -analysis_rewrite_round = analysis_schedule.saturate() + rewrite_schedule -total_ruleset = scheduler.scope( - analysis_rewrite_round - + analysis_rewrite_round - + analysis_rewrite_round - + analysis_rewrite_round - + analysis_schedule.saturate() -) -baseline_rewrite_ruleset = baseline_basic_rules | fun_rules -literal_rewrite_ruleset = basic_rules | fun_rules - - -def _run_single_pass_baseline(num: Num) -> tuple[Num, int, int, int, int, float]: - """ - One retained paper-style EqSat pass. - - The retained baseline now matches the Haskell-style inner loop directly: - one reused backoff scheduler, up to 30 rewrite iterations, and explicit - analysis saturation after each rewrite step. - """ - return _run_single_pass_for_mode(num, "egglog-baseline") +rewrite_ruleset = basic_rules | fun_rules -def _add_iteration_scheduler( - egraph: egglog.EGraph, - *, - fresh_rematch: bool, - haskell_backoff: bool, -) -> egglog.bindings.SchedulerHandle: - """Create one scheduler instance for the current rewrite iteration.""" - return egraph._add_backoff_scheduler( +def _make_rewrite_scheduler() -> BackOff: + """Build the retained per-pass scheduler configuration.""" + return back_off( match_limit=BACKOFF_MATCH_LIMIT, ban_length=BACKOFF_BAN_LENGTH, - egg_like=fresh_rematch, - haskell_backoff=haskell_backoff, - ) + fresh_rematch=True, + ).persistent() -def _run_single_pass_with_config_egraph( - num: Num, - config: ScheduleModeConfig, -) -> tuple[egglog.EGraph, float]: +def _graph_size(egraph: egglog.EGraph) -> int: + return sum(size for _, size in egraph.all_function_sizes()) + + +def _run_single_pass_egraph(num: Num) -> tuple[egglog.EGraph, float]: """ Run one `rewriteTree`-like pass and return the populated e-graph. - The baseline uses one persistent fresh-rematch scheduler with Haskell-style - backoff accounting and graph-size stability stopping. Ablation modes toggle - one of those controls at a time while keeping the rewrite set and analysis - structure fixed. + This mirrors Haskell at the control-flow level: + - one fresh-rematch backoff scheduler per outer pass + - up to 30 inner rewrite rounds + - one saturated analysis round after each rewrite round + - stop when total egraph size stops changing """ egraph = egglog.EGraph() egraph.register(num) - scheduler_handle = ( - _add_iteration_scheduler( - egraph, - fresh_rematch=config.fresh_rematch, - haskell_backoff=config.haskell_backoff, - ) - if config.persistent_scheduler - else None - ) + rewrite_scheduler = _make_rewrite_scheduler() start = time.perf_counter() - previous_counts = _serialized_counts(egraph) + previous_size = _graph_size(egraph) for _ in range(HASKELL_INNER_ITERATION_LIMIT): - rewrite_scheduler = scheduler_handle or _add_iteration_scheduler( - egraph, - fresh_rematch=config.fresh_rematch, - haskell_backoff=config.haskell_backoff, - ) - rewrite_report = egraph._run_ruleset_with_scheduler(literal_rewrite_ruleset, rewrite_scheduler) - analysis_report = egraph.run(analysis_schedule.saturate()) - if config.graph_size_stop: - current_counts = _serialized_counts(egraph) - if current_counts == previous_counts: - break - previous_counts = current_counts - elif not (rewrite_report.updated or analysis_report.updated): + egraph.run(run(rewrite_ruleset, scheduler=rewrite_scheduler)) + egraph.run(analysis_schedule.saturate()) + current_size = _graph_size(egraph) + if current_size == previous_size: break + previous_size = current_size elapsed = time.perf_counter() - start return egraph, elapsed -def _run_single_pass_haskell_literal_egraph(num: Num) -> tuple[egglog.EGraph, float]: - """Historical alias for the retained baseline's one-pass e-graph trace.""" - return _run_single_pass_with_config_egraph(num, MODE_CONFIGS["egglog-baseline"]) - - -def _run_single_pass_haskell_literal(num: Num) -> tuple[Num, int, int, int, int, float]: - """ - Mirror one Haskell `rewriteTree` pass as directly as Egglog allows. - - `FixTree.rewriteTree` runs one `equalitySaturation' (BackoffScheduler 2500 - 30)`. Here we keep one fresh-rematch backoff scheduler bound to the same - e-graph across up to 30 rewrite iterations, and we interleave explicit - analysis saturation after each rewrite step because Egglog does not embed - that analysis inside rebuild. The scheduler also uses Haskell-style - backoff accounting based on substitution width instead of raw match count. - """ - egraph, elapsed = _run_single_pass_haskell_literal_egraph(num) +def _run_single_pass(num: Num) -> tuple[Num, int, int, int, int, float]: + egraph, elapsed = _run_single_pass_egraph(num) extracted, cost = egraph.extract(num, include_cost=True) - total_size = sum(size for _, size in egraph.all_function_sizes()) + total_size = _graph_size(egraph) node_count, eclass_count = _serialized_counts(egraph) return extracted, int(cost), total_size, node_count, eclass_count, elapsed -def _run_single_pass_for_mode(num: Num, mode: Mode) -> tuple[Num, int, int, int, int, float]: - """Run one pass using the low-level schedule controls for `mode`.""" - config = MODE_CONFIGS[mode] - egraph, elapsed = _run_single_pass_with_config_egraph(num, config) - extracted, cost = egraph.extract(num, include_cost=True) - total_size = sum(size for _, size in egraph.all_function_sizes()) - node_count, eclass_count = _serialized_counts(egraph) - return extracted, int(cost), total_size, node_count, eclass_count, elapsed - - -def _run_single_pass(num: Num, mode: Mode = "egglog-baseline") -> tuple[Num, int, int, int, int, float]: - if mode in MODE_CONFIGS: - return _run_single_pass_for_mode(num, mode) - msg = f"Unsupported param-eq mode: {mode}" - raise ValueError(msg) - - -def run_paper_pipeline(num: Num, *, mode: Mode) -> PaperPipelineReport: +def run_paper_pipeline(num: Num) -> PaperPipelineReport: """ Approximate `simplifyE` from `FixTree.hs`. @@ -1485,7 +1354,7 @@ def run_paper_pipeline(num: Num, *, mode: Mode) -> PaperPipelineReport: passes = 0 status = "saturated" for pass_index in range(1, MAX_PASSES + 1): - extracted, last_cost, total_size, node_count, eclass_count, elapsed = _run_single_pass(current, mode) + extracted, last_cost, total_size, node_count, eclass_count, elapsed = _run_single_pass(current) total_sec += elapsed passes = pass_index if render_num(extracted) == render_num(current): @@ -1495,7 +1364,6 @@ def run_paper_pipeline(num: Num, *, mode: Mode) -> PaperPipelineReport: after_nodes = count_nodes(current) after_params = count_params(current) return PaperPipelineReport( - mode=mode, status=status, passes=passes, total_sec=total_sec, @@ -1514,12 +1382,10 @@ def run_paper_pipeline(num: Num, *, mode: Mode) -> PaperPipelineReport: def _cli() -> None: parser = argparse.ArgumentParser(description=__doc__) - parser.add_argument("--mode", choices=tuple(MODE_CONFIGS), required=True) parser.add_argument("--expr", required=True) args = parser.parse_args() - report = run_paper_pipeline(parse_expression(args.expr), mode=cast(Mode, args.mode)) + report = run_paper_pipeline(parse_expression(args.expr)) payload = { - "mode": report.mode, "status": report.status, "passes": report.passes, "total_sec": report.total_sec, diff --git a/python/egglog/exp/param_eq/replication.ipynb b/python/egglog/exp/param_eq/replication.ipynb index b4cbbf9d..c210bb76 100644 --- a/python/egglog/exp/param_eq/replication.ipynb +++ b/python/egglog/exp/param_eq/replication.ipynb @@ -2,81 +2,44 @@ "cells": [ { "cell_type": "markdown", - "id": "3cf51c25", + "id": "d2afd959", "metadata": {}, "source": [ - "mypy: disable-error-code=\"import-untyped,no-redef,misc\"" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "c6141db8", - "metadata": { - "execution": { - "iopub.execute_input": "2026-04-06T03:15:48.303854Z", - "iopub.status.busy": "2026-04-06T03:15:48.303707Z", - "iopub.status.idle": "2026-04-06T03:15:48.308996Z", - "shell.execute_reply": "2026-04-06T03:15:48.308412Z" - } - }, - "outputs": [ - { - "data": { - "text/plain": [ - "'Notebook source for comparing the retained Egglog baseline to archived and live Haskell artifacts.'" - ] - }, - "execution_count": 1, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "\"\"\"Notebook source for comparing the retained Egglog baseline to archived and live Haskell artifacts.\"\"\"" - ] - }, - { - "cell_type": "markdown", - "id": "e123bb99", - "metadata": {}, - "source": [ - "# 2026-03 - Replicating the Param-Eq Paper in Egglog\n", + "# 2026-03 - Param-Eq Baseline Thesis Check\n", + "\n", + "This notebook is intentionally comparison-first.\n", "\n", - "This notebook rebuilds the de Franca and Kronberger (2023) paper figures from\n", - "the archived Haskell experiment outputs, then compares the current Egglog\n", - "baseline primarily against a fresh full-corpus artifact generated from the\n", - "current local `param-eq-haskell` code.\n", + "Its main claim is:\n", + "- the archived Haskell artifact,\n", + "- a fresh live Haskell rerun, and\n", + "- the retained Egglog baseline\n", "\n", - "The Haskell sources this notebook is tracing back to are:\n", - "- `../param-eq-haskell/src/FixTree.hs`\n", - "- `../param-eq-haskell/src/Main.hs`\n", + "all support the same qualitative paper conclusions on the retained param-eq\n", + "metrics.\n", "\n", - "It is artifacts-first:\n", - "- it reads normalized archived Haskell artifacts from `python/egglog/exp/param_eq/artifacts`\n", - "- it reads a fresh full-corpus live Haskell artifact from the same directory\n", - "- it reads the Egglog corpus results from the same directory\n", - "- it does not run Haskell at notebook execution time\n", + "The notebook reads only checked-in artifacts:\n", + "- archived Haskell rows\n", + "- live Haskell rows\n", + "- Egglog rows\n", + "- Pagie runtime comparison rows for all three implementations\n", "\n", "Offline regeneration commands from the repository root:\n", "- `uv run python -m egglog.exp.param_eq.normalize_archives`\n", "- `uv run python -m egglog.exp.param_eq.run_haskell_corpus`\n", "- `uv run python -m egglog.exp.param_eq.run_egglog_corpus`\n", - "- `uv run python python/egglog/exp/param_eq/replication.py`\n", - "\n", - "The executed `.ipynb` shown in GitHub is generated from this `py:light` file." + "- `uv run python python/egglog/exp/param_eq/replication.py`" ] }, { "cell_type": "code", - "execution_count": 2, - "id": "8ff1c2f5", + "execution_count": 1, + "id": "11145b5d", "metadata": { "execution": { - "iopub.execute_input": "2026-04-06T03:15:48.311097Z", - "iopub.status.busy": "2026-04-06T03:15:48.310894Z", - "iopub.status.idle": "2026-04-06T03:15:49.362826Z", - "shell.execute_reply": "2026-04-06T03:15:49.361804Z" + "iopub.execute_input": "2026-04-06T10:07:47.059888Z", + "iopub.status.busy": "2026-04-06T10:07:47.059812Z", + "iopub.status.idle": "2026-04-06T10:07:48.083204Z", + "shell.execute_reply": "2026-04-06T10:07:48.082591Z" } }, "outputs": [], @@ -85,13 +48,15 @@ "\n", "import os\n", "from io import StringIO\n", + "from typing import Any\n", "\n", "import altair as alt\n", + "import jupytext\n", + "import nbformat\n", "import pandas as pd\n", - "from IPython.display import Markdown, SVG, display\n", + "from IPython.display import SVG, display\n", "from nbclient import NotebookClient\n", - "import nbformat\n", - "import jupytext\n", + "\n", "from egglog.exp.param_eq.paths import ARTIFACT_DIR, PARAM_EQ_DIR\n", "\n", "\n", @@ -99,23 +64,21 @@ "alt.renderers.enable(\"default\")\n", "\n", "ALGORITHM_ORDER = [\"Bingo\", \"EPLEX\", \"GP-GOMEA\", \"Operon\", \"PySR\", \"SBP\"]\n", - "MODE_LABELS = {\n", - " \"egglog-baseline\": \"Egglog baseline\",\n", - " \"no-haskell-backoff\": \"No Haskell backoff\",\n", - " \"no-graph-size-stop\": \"No graph-size stop\",\n", - " \"no-bound-scheduler\": \"No bound scheduler\",\n", - " \"no-fresh-rematch\": \"No fresh rematch\",\n", - " \"egglog-haskell-literal\": \"Historical literal alias\",\n", - "}\n", + "DATASET_ORDER = [\"pagie\", \"kotanchek\"]\n", + "DATASET_LABELS = {\"pagie\": \"Pagie-1\", \"kotanchek\": \"Kotanchek\"}\n", + "IMPLEMENTATION_ORDER = [\"Archived Haskell\", \"Live Haskell\", \"Egglog\"]\n", + "METHOD_ORDER = [\"EqSat\", \"Sympy\", \"Sympy + EqSat\"]\n", + "COMPARISON_ORDER = [\"Sympy x EqSat\", \"Sympy + EqSat x EqSat\"]\n", + "DELTA_ORDER = [\"Δ == 0\", \"Δ <= 1\"]\n", + "\n", "BOX_COLOR = \"#4C78A8\"\n", "POINT_COLOR = \"#F58518\"\n", - "MISMATCH_COLOR = \"#E45756\"\n", + "TABLE_FILL = \"#F7F7F7\"\n", + "\n", "ARCHIVED_HASKELL_PATH = ARTIFACT_DIR / \"haskell_paper_rows.csv\"\n", "LIVE_HASKELL_PATH = ARTIFACT_DIR / \"haskell_live_rows.csv\"\n", "EGGLOG_PATH = ARTIFACT_DIR / \"egglog_paper_rows.csv\"\n", - "EGGLOG_ABLATION_PATH = ARTIFACT_DIR / \"egglog_ablation_rows.csv\"\n", - "ABLATION_SUMMARY_PATH = ARTIFACT_DIR / \"ablation_summary.csv\"\n", - "RUNTIME_PATH = ARTIFACT_DIR / \"pagie_runtime_scatter.csv\"\n", + "RUNTIME_PATH = ARTIFACT_DIR / \"pagie_runtime_compare.csv\"\n", "\n", "for required_path in [ARCHIVED_HASKELL_PATH, LIVE_HASKELL_PATH, EGGLOG_PATH, RUNTIME_PATH]:\n", " if not required_path.exists():\n", @@ -130,30 +93,8 @@ " return frame\n", "\n", "\n", - "def _paper_haskell_frame() -> pd.DataFrame:\n", - " frame = pd.read_csv(ARCHIVED_HASKELL_PATH)\n", - " frame = frame[frame[\"is_paper_row\"] == 1].copy()\n", - " return _coerce_numeric(\n", - " frame,\n", - " [\n", - " \"raw_index\",\n", - " \"algo_row\",\n", - " \"orig_nodes\",\n", - " \"orig_params\",\n", - " \"simpl_nodes\",\n", - " \"simpl_params\",\n", - " \"orig_nodes_sympy\",\n", - " \"orig_params_sympy\",\n", - " \"simpl_nodes_sympy\",\n", - " \"simpl_params_sympy\",\n", - " \"n_params\",\n", - " \"n_rank\",\n", - " ],\n", - " )\n", - "\n", - "\n", - "def _live_haskell_frame() -> pd.DataFrame:\n", - " frame = pd.read_csv(LIVE_HASKELL_PATH)\n", + "def _paper_haskell_frame(path: os.PathLike[str] | str) -> pd.DataFrame:\n", + " frame = pd.read_csv(path)\n", " frame = frame[frame[\"is_paper_row\"] == 1].copy()\n", " return _coerce_numeric(\n", " frame,\n", @@ -176,7 +117,7 @@ " )\n", "\n", "\n", - "def _paper_egglog_frame(path: os.PathLike[str] | str = EGGLOG_PATH) -> pd.DataFrame:\n", + "def _paper_egglog_frame(path: os.PathLike[str] | str) -> pd.DataFrame:\n", " frame = pd.read_csv(path)\n", " frame = frame[frame[\"is_paper_row\"] == 1].copy()\n", " return _coerce_numeric(\n", @@ -184,8 +125,6 @@ " [\n", " \"raw_index\",\n", " \"algo_row\",\n", - " \"n_params\",\n", - " \"n_rank\",\n", " \"orig_runtime_ms\",\n", " \"orig_nodes\",\n", " \"orig_params\",\n", @@ -206,56 +145,40 @@ " \"sympy_eclass_count\",\n", " \"sympy_passes\",\n", " \"sympy_extracted_cost\",\n", + " \"n_params\",\n", + " \"n_rank\",\n", " ],\n", " )\n", "\n", "\n", - "def _ablation_summary_frame() -> pd.DataFrame:\n", - " if ABLATION_SUMMARY_PATH.exists():\n", - " frame = pd.read_csv(ABLATION_SUMMARY_PATH)\n", - " frame = _coerce_numeric(frame, [\"orig_max_gap\", \"sympy_max_gap\", \"orig_median_delta\", \"sympy_median_delta\"])\n", - " for column in [\"orig_pattern_ok\", \"sympy_pattern_ok\", \"accepted\"]:\n", - " if column in frame.columns:\n", - " frame[column] = frame[column].map(\n", - " lambda value: value\n", - " if isinstance(value, bool)\n", - " else str(value).strip().lower() in {\"1\", \"true\", \"yes\", \"pass\"}\n", - " )\n", - " return frame\n", - " return pd.DataFrame()\n", - "\n", - "\n", "def _paper_runtime_frame() -> pd.DataFrame:\n", " frame = pd.read_csv(RUNTIME_PATH)\n", " return _coerce_numeric(frame, [\"node_count\", \"runtime_ms\"])\n", "\n", "\n", - "def add_paper_metrics(frame: pd.DataFrame, *, prefix: str) -> pd.DataFrame:\n", + "def add_paper_metrics(frame: pd.DataFrame) -> pd.DataFrame:\n", " result = frame.copy()\n", - " result[\"orig_x_egg\"] = (result[prefix + \"orig_params\"] - result[prefix + \"simpl_params\"]) / result[\n", - " prefix + \"orig_params\"\n", - " ]\n", - " result[\"orig_x_sympy\"] = (result[prefix + \"orig_params\"] - result[prefix + \"orig_params_sympy\"]) / result[\n", - " prefix + \"orig_params\"\n", - " ]\n", - " result[\"orig_x_sympyegg\"] = (result[prefix + \"orig_params\"] - result[prefix + \"simpl_params_sympy\"]) / result[\n", - " prefix + \"orig_params\"\n", - " ]\n", - " result[\"sympy_x_egg\"] = (result[prefix + \"orig_params_sympy\"] - result[prefix + \"simpl_params\"]) / result[\n", - " prefix + \"orig_params_sympy\"\n", - " ]\n", - " result[\"sympyegg_x_egg\"] = (result[prefix + \"simpl_params_sympy\"] - result[prefix + \"simpl_params\"]) / result[\n", - " prefix + \"simpl_params_sympy\"\n", - " ]\n", + " result[\"orig_x_egg\"] = (result[\"orig_params\"] - result[\"simpl_params\"]) / result[\"orig_params\"]\n", + " result[\"orig_x_sympy\"] = (result[\"orig_params\"] - result[\"orig_params_sympy\"]) / result[\"orig_params\"]\n", + " result[\"orig_x_sympyegg\"] = (result[\"orig_params\"] - result[\"simpl_params_sympy\"]) / result[\"orig_params\"]\n", + " result[\"sympy_x_egg\"] = (result[\"orig_params_sympy\"] - result[\"simpl_params\"]) / result[\"orig_params_sympy\"]\n", + " result[\"sympyegg_x_egg\"] = (result[\"simpl_params_sympy\"] - result[\"simpl_params\"]) / result[\"simpl_params_sympy\"]\n", " result[\"orig_rank\"] = result[\"n_params\"] - result[\"n_rank\"]\n", - " result[\"simpl_rank\"] = result[prefix + \"simpl_params\"] - result[\"n_rank\"]\n", - " result[\"sympy_rank\"] = result[prefix + \"orig_params_sympy\"] - result[\"n_rank\"]\n", + " result[\"simpl_rank\"] = result[\"simpl_params\"] - result[\"n_rank\"]\n", + " result[\"sympy_rank\"] = result[\"orig_params_sympy\"] - result[\"n_rank\"]\n", + " return result\n", + "\n", + "\n", + "def with_implementation(frame: pd.DataFrame, implementation: str) -> pd.DataFrame:\n", + " result = frame.copy()\n", + " result[\"implementation\"] = implementation\n", + " result[\"dataset_label\"] = result[\"dataset\"].map(DATASET_LABELS)\n", " return result\n", "\n", "\n", "def melt_methods(frame: pd.DataFrame, *, columns: dict[str, str], value_name: str) -> pd.DataFrame:\n", " melted = frame.melt(\n", - " id_vars=[\"dataset\", \"algorithm\", \"raw_index\"],\n", + " id_vars=[\"implementation\", \"dataset\", \"dataset_label\", \"algorithm\", \"raw_index\"],\n", " value_vars=list(columns.values()),\n", " var_name=\"method_key\",\n", " value_name=value_name,\n", @@ -265,70 +188,83 @@ " return melted.drop(columns=[\"method_key\"])\n", "\n", "\n", - "def _point_layer(frame: pd.DataFrame, *, tooltip: list[str]) -> alt.Chart:\n", + "def _point_layer(frame: pd.DataFrame, *, y: str, tooltip: list[str]) -> alt.Chart:\n", " return (\n", " alt.Chart(frame)\n", " .transform_calculate(jitter=\"(random() - 0.5) * 18\")\n", - " .mark_circle(size=46, color=POINT_COLOR, opacity=0.72, stroke=\"white\", strokeWidth=0.8)\n", - " .encode(xOffset=alt.XOffset(\"jitter:Q\"), tooltip=tooltip)\n", + " .mark_circle(size=38, color=POINT_COLOR, opacity=0.68, stroke=\"white\", strokeWidth=0.7)\n", + " .encode(\n", + " xOffset=alt.XOffset(\"jitter:Q\"),\n", + " y=alt.Y(f\"{y}:Q\"),\n", + " tooltip=tooltip,\n", + " )\n", " )\n", "\n", "\n", - "def boxplot_chart(frame: pd.DataFrame, *, y: str, title: str) -> alt.Chart:\n", + "def faceted_boxplot(frame: pd.DataFrame, *, y: str, title: str, method_sort: list[str]) -> Any:\n", " base = (\n", " alt.Chart(frame)\n", " .encode(\n", " x=alt.X(\"algorithm:N\", sort=ALGORITHM_ORDER, title=\"Algorithm\"),\n", " y=alt.Y(f\"{y}:Q\", title=y.replace(\"_\", \" \")),\n", " )\n", - " .properties(width=120, height=280)\n", + " .properties(width=115, height=170)\n", " )\n", - " return (\n", - " alt.layer(\n", - " base.mark_boxplot(size=18, opacity=0.6, color=BOX_COLOR, outliers=False),\n", - " _point_layer(\n", - " frame,\n", - " tooltip=[\"dataset\", \"algorithm\", \"method\", \"raw_index\", y],\n", - " ).encode(\n", - " x=alt.X(\"algorithm:N\", sort=ALGORITHM_ORDER, title=\"Algorithm\"),\n", - " y=alt.Y(f\"{y}:Q\", title=y.replace(\"_\", \" \")),\n", - " ),\n", - " )\n", - " .facet(column=alt.Column(\"method:N\", title=None))\n", - " .properties(title=title)\n", - " .resolve_scale(y=\"shared\")\n", + " layered = alt.layer(\n", + " _point_layer(\n", + " frame,\n", + " y=y,\n", + " tooltip=[\"implementation\", \"dataset\", \"algorithm\", \"method\", \"raw_index\", y],\n", + " ).encode(x=alt.X(\"algorithm:N\", sort=ALGORITHM_ORDER, title=\"Algorithm\")),\n", + " base.mark_boxplot(size=16, opacity=0.58, color=BOX_COLOR, outliers=False),\n", " )\n", + " return layered.facet(\n", + " row=alt.Row(\"implementation:N\", sort=IMPLEMENTATION_ORDER, title=None),\n", + " column=alt.Column(\"method:N\", sort=method_sort, title=None),\n", + " ).properties(title=title)\n", "\n", "\n", - "def rank_boxplot(frame: pd.DataFrame, *, title: str) -> alt.Chart:\n", + "def rank_boxplot(frame: pd.DataFrame, *, title: str) -> Any:\n", " base = (\n", " alt.Chart(frame)\n", " .encode(\n", " x=alt.X(\"algorithm:N\", sort=ALGORITHM_ORDER, title=\"Algorithm\"),\n", " y=alt.Y(\"simpl_rank:Q\", title=\"simplified params - rank\"),\n", " )\n", - " .properties(width=180, height=280)\n", + " .properties(width=115, height=170)\n", " )\n", + " layered = alt.layer(\n", + " _point_layer(\n", + " frame,\n", + " y=\"simpl_rank\",\n", + " tooltip=[\"implementation\", \"dataset\", \"algorithm\", \"raw_index\", \"simpl_rank\", \"n_rank\", \"simpl_params\"],\n", + " ).encode(x=alt.X(\"algorithm:N\", sort=ALGORITHM_ORDER, title=\"Algorithm\")),\n", + " base.mark_boxplot(size=16, opacity=0.58, color=BOX_COLOR, outliers=False),\n", + " )\n", + " return layered.facet(\n", + " row=alt.Row(\"implementation:N\", sort=IMPLEMENTATION_ORDER, title=None),\n", + " column=alt.Column(\"dataset_label:N\", sort=[DATASET_LABELS[d] for d in DATASET_ORDER], title=None),\n", + " ).properties(title=title)\n", + "\n", + "\n", + "def runtime_chart(frame: pd.DataFrame, *, title: str) -> Any:\n", " return (\n", - " alt.layer(\n", - " base.mark_boxplot(size=18, opacity=0.6, color=BOX_COLOR, outliers=False),\n", - " _point_layer(\n", - " frame,\n", - " tooltip=[\"dataset\", \"algorithm\", \"raw_index\", \"simpl_rank\", \"n_rank\", \"simpl_params\"],\n", - " ).encode(\n", - " x=alt.X(\"algorithm:N\", sort=ALGORITHM_ORDER, title=\"Algorithm\"),\n", - " y=alt.Y(\"simpl_rank:Q\", title=\"simplified params - rank\"),\n", - " ),\n", + " alt.Chart(frame)\n", + " .mark_circle(size=70, opacity=0.78, stroke=\"white\", strokeWidth=0.8, color=BOX_COLOR)\n", + " .encode(\n", + " x=alt.X(\"node_count:Q\", title=\"number of nodes\"),\n", + " y=alt.Y(\"runtime_ms:Q\", title=\"runtime (ms)\"),\n", + " tooltip=[\"implementation\", \"node_count\", \"runtime_ms\"],\n", " )\n", - " .facet(column=alt.Column(\"dataset:N\", title=None))\n", + " .properties(width=220, height=220)\n", + " .facet(column=alt.Column(\"implementation:N\", sort=IMPLEMENTATION_ORDER, title=None))\n", " .properties(title=title)\n", - " .resolve_scale(y=\"shared\")\n", " )\n", "\n", "\n", "def comparison_table(frame: pd.DataFrame, *, implementation: str) -> pd.DataFrame:\n", " rows: list[dict[str, object]] = []\n", - " for dataset in [\"pagie\", \"kotanchek\"]:\n", + " for dataset in DATASET_ORDER:\n", " dataset_frame = frame[frame[\"dataset\"] == dataset]\n", " for algorithm in ALGORITHM_ORDER:\n", " algo_frame = dataset_frame[dataset_frame[\"algorithm\"] == algorithm]\n", @@ -337,562 +273,364 @@ " percent = float(\"nan\")\n", " if not eligible.empty:\n", " percent = 100.0 * (eligible[\"simpl_rank\"] <= delta).sum() / len(eligible)\n", - " rows.append({\n", - " \"implementation\": implementation,\n", - " \"dataset\": dataset,\n", - " \"algorithm\": algorithm,\n", - " \"delta\": f\"Δ {'==' if delta == 0 else '<='} {delta}\",\n", - " \"percent\": percent,\n", - " })\n", - " return pd.DataFrame(rows)\n", - "\n", - "\n", - "def table4_wide(frame: pd.DataFrame, index_columns: list[str]) -> pd.DataFrame:\n", - " zero = frame[frame[\"delta\"] == \"Δ == 0\"][[*index_columns, \"percent\"]].rename(columns={\"percent\": \"Δ == 0\"})\n", - " one = frame[frame[\"delta\"] == \"Δ <= 1\"][[*index_columns, \"percent\"]].rename(columns={\"percent\": \"Δ <= 1\"})\n", - " return zero.merge(one, on=index_columns, how=\"outer\")\n", - "\n", - "\n", - "def runtime_scatter(frame: pd.DataFrame, *, x: str, y: str, color: str, title: str) -> alt.Chart:\n", - " return (\n", - " alt.Chart(frame)\n", - " .mark_circle(size=72, opacity=0.78, stroke=\"white\", strokeWidth=0.8)\n", - " .encode(\n", - " x=alt.X(f\"{x}:Q\"),\n", - " y=alt.Y(f\"{y}:Q\"),\n", - " color=alt.Color(f\"{color}:N\"),\n", - " tooltip=list(frame.columns),\n", - " )\n", - " .properties(title=title, width=360, height=300)\n", - " )\n", + " rows.append(\n", + " {\n", + " \"implementation\": implementation,\n", + " \"dataset\": dataset,\n", + " \"dataset_label\": DATASET_LABELS[dataset],\n", + " \"algorithm\": algorithm,\n", + " \"delta\": f\"Δ {'==' if delta == 0 else '<='} {delta}\",\n", + " \"percent\": percent,\n", + " }\n", + " )\n", + " result = pd.DataFrame(rows)\n", + " result[\"percent_label\"] = result[\"percent\"].map(lambda value: \"n/a\" if pd.isna(value) else f\"{value:.2f}%\")\n", + " return result\n", "\n", "\n", - "def status_summary_chart(frame: pd.DataFrame, *, title: str) -> alt.Chart:\n", - " return (\n", - " alt.Chart(frame)\n", - " .mark_bar()\n", - " .encode(\n", - " x=alt.X(\"count:Q\", title=\"rows\"),\n", - " y=alt.Y(\"status:N\", sort=\"-x\", title=None),\n", - " color=alt.Color(\"status:N\", legend=None),\n", - " column=alt.Column(\"mode:N\", title=None),\n", - " )\n", - " .properties(title=title, width=180, height=180)\n", + "def faceted_table4_chart(frame: pd.DataFrame) -> Any:\n", + " base = alt.Chart(frame).encode(\n", + " x=alt.X(\"dataset_label:N\", sort=[DATASET_LABELS[d] for d in DATASET_ORDER], title=None),\n", + " y=alt.Y(\"algorithm:N\", sort=ALGORITHM_ORDER, title=None),\n", " )\n", + " layered = alt.layer(\n", + " base.mark_rect(fill=TABLE_FILL, stroke=\"#DDDDDD\"),\n", + " base.mark_text(fontSize=11).encode(text=\"percent_label:N\"),\n", + " ).properties(width=120, height=18 * len(ALGORITHM_ORDER))\n", + " return layered.facet(\n", + " row=alt.Row(\"delta:N\", sort=DELTA_ORDER, title=None),\n", + " column=alt.Column(\"implementation:N\", sort=IMPLEMENTATION_ORDER, title=None),\n", + " ).properties(title=\"Faceted Table 4 analog\")\n", "\n", "\n", - "def show_chart(chart: alt.Chart) -> None:\n", + "def show_chart(chart: Any) -> None:\n", " buffer = StringIO()\n", " chart.save(buffer, format=\"svg\")\n", " display(SVG(buffer.getvalue()))\n", "\n", "\n", - "def show_note(text: str) -> None:\n", - " display(Markdown(f\"**What this shows:** {text}\"))\n", - "\n", - "\n", - "def _share_phrase(numerator: int, denominator: int) -> str:\n", - " if denominator == 0:\n", - " return \"none\"\n", - " share = numerator / denominator\n", - " if share >= 0.95:\n", - " return \"nearly all\"\n", - " if share >= 0.8:\n", - " return \"most\"\n", - " if share >= 0.65:\n", - " return \"a clear majority of\"\n", - " if share >= 0.45:\n", - " return \"about half of\"\n", - " if share >= 0.2:\n", - " return \"a minority of\"\n", - " return \"very few\"\n", - "\n", - "\n", - "def summarize_haskell_reduction_ratios(frame: pd.DataFrame, *, context: str) -> str:\n", - " medians = frame.groupby(\"method\")[\"ratio\"].median()\n", - " eqsat = medians.get(\"EqSat\", 0.0)\n", - " sympy = medians.get(\"Sympy\", 0.0)\n", - " combined = medians.get(\"Sympy + EqSat\", 0.0)\n", - " if eqsat > 0 and combined >= 0 and sympy <= 0:\n", - " return (\n", - " f\"For {context}, this is the target paper-era pattern: EqSat is helpful on its own, \"\n", - " \"Sympy alone is weaker or can regress, and the combined pipeline recovers much of that gap. \"\n", - " \"A faithful Egglog baseline should preserve that separation between the three modes.\"\n", - " )\n", - " if eqsat > 0 and combined > 0 and sympy <= combined:\n", - " return (\n", - " f\"For {context}, this is the target qualitative ordering: EqSat and the combined pipeline both reduce parameters, \"\n", - " \"while Sympy alone is not the main source of the gain. The Egglog baseline should look similar if it is reproducing the paper behavior.\"\n", - " )\n", - " return (\n", - " f\"For {context}, this chart defines the baseline shape the Egglog reproduction is aiming at: \"\n", - " \"the three modes should not collapse onto the same distribution if the pipeline stages are being reproduced distinctly.\"\n", - " )\n", - "\n", - "\n", - "def summarize_haskell_comparison_ratios(frame: pd.DataFrame, *, context: str) -> str:\n", - " medians = frame.groupby(\"method\")[\"ratio\"].median()\n", - " sympy_vs_eqsat = medians.get(\"Sympy x EqSat\", 0.0)\n", - " combined_vs_eqsat = medians.get(\"Sympy + EqSat x EqSat\", 0.0)\n", - " if sympy_vs_eqsat > 0 and combined_vs_eqsat <= sympy_vs_eqsat:\n", - " return (\n", - " f\"For {context}, the archived baseline says EqSat is doing real extra work beyond Sympy preprocessing alone. \"\n", - " \"That means a faithful Egglog reproduction should still show a visible advantage for rerunning EqSat after the symbolic preprocessing stage.\"\n", - " )\n", - " return (\n", - " f\"For {context}, this chart sets the baseline expectation for how much EqSat should add beyond the Sympy-derived starting point.\"\n", - " )\n", - "\n", - "\n", - "def summarize_rank_target(frame: pd.DataFrame, *, context: str) -> str:\n", - " near_rank = int((frame[\"simpl_rank\"] <= 1).sum())\n", - " total = len(frame)\n", - " return (\n", - " f\"For {context}, the archived baseline usually lands at or very near the target rank. \"\n", - " f\"So the reproduction target here is not just qualitative simplification, but getting { _share_phrase(near_rank, total) } rows down to the rank target or within one.\"\n", - " )\n", - "\n", - "\n", - "def summarize_runtime_baseline(frame: pd.DataFrame, *, x: str, y: str, context: str) -> str:\n", - " clean = frame[[x, y]].dropna()\n", - " correlation = clean[x].corr(clean[y]) if len(clean) > 1 else 0.0\n", - " if correlation > 0.5:\n", - " return (\n", - " f\"For {context}, the runtime tail clearly grows with expression size. \"\n", - " \"This is the baseline difficulty pattern Egglog should match qualitatively even if exact runtimes differ.\"\n", - " )\n", - " return (\n", - " f\"For {context}, this chart is mainly a baseline reference for where the hard cases live; larger inputs should dominate the tail.\"\n", - " )\n", - "\n", - "\n", - "def summarize_egglog_reduction_vs_haskell(candidate: pd.DataFrame, baseline: pd.DataFrame, *, context: str) -> str:\n", - " candidate_medians = candidate.groupby(\"method\")[\"ratio\"].median()\n", - " baseline_medians = baseline.groupby(\"method\")[\"ratio\"].median()\n", - " candidate_spread = candidate_medians.max() - candidate_medians.min()\n", - " baseline_spread = baseline_medians.max() - baseline_medians.min()\n", - " if candidate_spread < baseline_spread * 0.5:\n", - " return (\n", - " f\"For {context}, Egglog does not preserve the method separation visible in the Haskell reference artifact. \"\n", - " \"The three modes collapse toward the same reduction level, which argues that Egglog is not yet reproducing the distinct effect of each pipeline stage.\"\n", - " )\n", - " return (\n", - " f\"For {context}, Egglog broadly preserves the same qualitative ordering as the Haskell reference artifact, \"\n", - " \"which supports the hypothesis that the reproduction is close on this slice.\"\n", - " )\n", - "\n", - "\n", - "def summarize_egglog_comparison_vs_haskell(candidate: pd.DataFrame, baseline: pd.DataFrame, *, context: str) -> str:\n", - " candidate_medians = candidate.groupby(\"method\")[\"ratio\"].median()\n", - " baseline_medians = baseline.groupby(\"method\")[\"ratio\"].median()\n", - " if candidate_medians.get(\"Sympy x EqSat\", 0.0) < baseline_medians.get(\"Sympy x EqSat\", 0.0) * 0.5:\n", - " return (\n", - " f\"For {context}, Egglog largely loses the extra gain that the Haskell reference artifact gets from rerunning EqSat after Sympy. \"\n", - " \"That supports the current hypothesis that the remaining gap is in how Egglog reproduces the rewrite schedule and A/C-heavy search, not in the basic parser or metric bookkeeping.\"\n", - " )\n", - " return (\n", - " f\"For {context}, Egglog retains most of the Haskell-reference advantage of EqSat over the Sympy-derived inputs, \"\n", - " \"which supports the baseline-reproduction hypothesis for this comparison.\"\n", - " )\n", - "\n", - "\n", - "def summarize_egglog_rank_vs_haskell(candidate: pd.DataFrame, baseline: pd.DataFrame, *, context: str) -> str:\n", - " candidate_near = (candidate[\"simpl_rank\"] <= 1).sum()\n", - " baseline_near = (baseline[\"simpl_rank\"] <= 1).sum()\n", - " if candidate_near >= baseline_near * 0.9:\n", - " return (\n", - " f\"For {context}, Egglog is close to the Haskell reference on the coarse rank target. \"\n", - " \"So the remaining mismatch is not that Egglog fails to simplify at all; it is that it still misses some of the exact final forms and some hard cases.\"\n", - " )\n", - " return (\n", - " f\"For {context}, Egglog is still noticeably behind the Haskell reference even on the coarse rank target, \"\n", - " \"so the reproduction gap is visible before we look at exact expression equality.\"\n", - " )\n", - "\n", - "\n", - "def summarize_egglog_runtime(frame: pd.DataFrame, *, x: str, y: str, context: str) -> str:\n", - " clean = frame[[x, y]].dropna()\n", - " correlation = clean[x].corr(clean[y]) if len(clean) > 1 else 0.0\n", - " if correlation > 0.5:\n", - " return (\n", - " f\"For {context}, Egglog shows the same basic size-driven runtime tail as the Haskell reference. \"\n", - " \"That supports the idea that it is hitting the same families of hard expressions, even though some outcomes still diverge.\"\n", - " )\n", - " return (\n", - " f\"For {context}, runtime does not track size as strongly as in the Haskell reference, \"\n", - " \"which would suggest a different failure mode.\"\n", - " )\n", - "\n", - "\n", - "def summarize_match_scatter(frame: pd.DataFrame, *, context: str) -> str:\n", - " total = len(frame)\n", - " exact = int(frame[\"orig_param_match\"].sum())\n", - " phrase = _share_phrase(exact, total)\n", - " if exact / total >= 0.8:\n", - " return (\n", - " f\"For {context}, {phrase} sit on or very near the diagonal. \"\n", - " \"That supports the hypothesis that Egglog is partially reproducing the Haskell reference on final parameter counts, but not yet meeting it exactly across the whole corpus.\"\n", - " )\n", - " return (\n", - " f\"For {context}, too many points miss the diagonal for us to call the baseline reproduced yet.\"\n", - " )\n", - "\n", - "\n", - "def summarize_status_counts(frame: pd.DataFrame, *, context: str) -> str:\n", - " counts = frame.groupby(\"status\")[\"count\"].sum()\n", - " saturated = int(counts.get(\"saturated\", 0))\n", - " total = int(counts.sum())\n", - " phrase = _share_phrase(saturated, total)\n", - " return (\n", - " f\"For {context}, {phrase} finish in the normal saturated path. \"\n", - " \"That means the current baseline is usable for comparison work, but the remaining unsaturated tail is still large enough to matter for paper-faithful reproduction.\"\n", - " )\n", - "\n", - "\n", - "def _mode_label(mode: str) -> str:\n", - " return MODE_LABELS.get(mode, mode)\n", - "\n", - "\n", - "def _per_algorithm_median_deltas(frame: pd.DataFrame, simpl_col: str) -> dict[str, float]:\n", - " deltas = frame.assign(delta=frame[simpl_col] - frame[\"n_params\"]).groupby(\"algorithm\")[\"delta\"].median()\n", - " return {algorithm: float(deltas.get(algorithm, float(\"nan\"))) for algorithm in ALGORITHM_ORDER}\n", - "\n", - "\n", - "def _same_pattern(observed: dict[str, float], expected: dict[str, float]) -> bool:\n", - " return all(observed.get(algorithm) == expected.get(algorithm) for algorithm in ALGORITHM_ORDER)\n", - "\n", - "\n", - "def ablation_summary_table(candidate_rows: pd.DataFrame, live_rows: pd.DataFrame) -> pd.DataFrame:\n", - " if candidate_rows.empty:\n", - " return pd.DataFrame()\n", - " live_orig_pattern = _per_algorithm_median_deltas(live_rows, \"simpl_params\")\n", - " live_sympy_pattern = _per_algorithm_median_deltas(live_rows, \"simpl_params_sympy\")\n", - " rows: list[dict[str, object]] = []\n", - " for mode, frame in candidate_rows.groupby(\"mode\"):\n", - " compare = frame.merge(\n", - " live_rows[\n", - " [\n", - " \"dataset\",\n", - " \"raw_index\",\n", - " \"algorithm\",\n", - " \"simpl_params\",\n", - " \"simpl_params_sympy\",\n", - " ]\n", - " ],\n", - " on=[\"dataset\", \"raw_index\", \"algorithm\"],\n", - " suffixes=(\"_egglog\", \"_haskell\"),\n", - " )\n", - " orig_exact = int((compare[\"simpl_params_egglog\"] == compare[\"simpl_params_haskell\"]).sum())\n", - " sympy_exact = int((compare[\"simpl_params_sympy_egglog\"] == compare[\"simpl_params_sympy_haskell\"]).sum())\n", - " orig_gap = int((compare[\"simpl_params_egglog\"] - compare[\"simpl_params_haskell\"]).abs().max())\n", - " sympy_gap = int((compare[\"simpl_params_sympy_egglog\"] - compare[\"simpl_params_sympy_haskell\"]).abs().max())\n", - " orig_median_delta = float((frame[\"simpl_params\"] - frame[\"n_params\"]).median())\n", - " sympy_median_delta = float((frame[\"simpl_params_sympy\"] - frame[\"n_params\"]).median())\n", - " orig_pattern_ok = _same_pattern(_per_algorithm_median_deltas(frame, \"simpl_params\"), live_orig_pattern)\n", - " sympy_pattern_ok = _same_pattern(_per_algorithm_median_deltas(frame, \"simpl_params_sympy\"), live_sympy_pattern)\n", - " orig_saturated = int((frame[\"orig_status\"] == \"saturated\").sum())\n", - " sympy_saturated = int((frame[\"sympy_status\"] == \"saturated\").sum())\n", - " accepted = (\n", - " orig_saturated == len(frame)\n", - " and sympy_saturated == len(frame)\n", - " and orig_median_delta == -1.0\n", - " and sympy_median_delta == -1.0\n", - " and orig_pattern_ok\n", - " and sympy_pattern_ok\n", - " and orig_exact >= 315\n", - " and sympy_exact >= 335\n", - " and orig_gap <= 2\n", - " and sympy_gap <= 1\n", - " )\n", - " rows.append(\n", - " {\n", - " \"mode\": _mode_label(str(mode)),\n", - " \"orig_exact\": f\"{orig_exact}/{len(frame)}\",\n", - " \"sympy_exact\": f\"{sympy_exact}/{len(frame)}\",\n", - " \"orig_max_gap\": orig_gap,\n", - " \"sympy_max_gap\": sympy_gap,\n", - " \"orig_median_delta\": orig_median_delta,\n", - " \"sympy_median_delta\": sympy_median_delta,\n", - " \"orig_pattern_ok\": orig_pattern_ok,\n", - " \"sympy_pattern_ok\": sympy_pattern_ok,\n", - " \"orig_saturated\": f\"{orig_saturated}/{len(frame)}\",\n", - " \"sympy_saturated\": f\"{sympy_saturated}/{len(frame)}\",\n", - " \"accepted\": accepted,\n", - " }\n", - " )\n", - " return pd.DataFrame(rows)\n", - "\n", - "\n", - "def live_baseline_ablation_row(baseline_rows: pd.DataFrame, live_rows: pd.DataFrame) -> dict[str, object]:\n", - " compare = baseline_rows.merge(\n", - " live_rows[\n", - " [\n", - " \"dataset\",\n", - " \"raw_index\",\n", - " \"algorithm\",\n", - " \"simpl_params\",\n", - " \"simpl_params_sympy\",\n", - " ]\n", - " ],\n", - " on=[\"dataset\", \"raw_index\", \"algorithm\"],\n", - " suffixes=(\"_egglog\", \"_haskell\"),\n", - " )\n", - " orig_exact = int((compare[\"simpl_params_egglog\"] == compare[\"simpl_params_haskell\"]).sum())\n", - " sympy_exact = int((compare[\"simpl_params_sympy_egglog\"] == compare[\"simpl_params_sympy_haskell\"]).sum())\n", - " orig_gap = int((compare[\"simpl_params_egglog\"] - compare[\"simpl_params_haskell\"]).abs().max())\n", - " sympy_gap = int((compare[\"simpl_params_sympy_egglog\"] - compare[\"simpl_params_sympy_haskell\"]).abs().max())\n", - " orig_median_delta = float((baseline_rows[\"simpl_params\"] - baseline_rows[\"n_params\"]).median())\n", - " sympy_median_delta = float((baseline_rows[\"simpl_params_sympy\"] - baseline_rows[\"n_params\"]).median())\n", - " live_orig_pattern = _per_algorithm_median_deltas(live_rows, \"simpl_params\")\n", - " live_sympy_pattern = _per_algorithm_median_deltas(live_rows, \"simpl_params_sympy\")\n", - " orig_pattern_ok = _same_pattern(_per_algorithm_median_deltas(baseline_rows, \"simpl_params\"), live_orig_pattern)\n", - " sympy_pattern_ok = _same_pattern(\n", - " _per_algorithm_median_deltas(baseline_rows, \"simpl_params_sympy\"),\n", - " live_sympy_pattern,\n", - " )\n", - " orig_saturated = int((baseline_rows[\"orig_status\"] == \"saturated\").sum())\n", - " sympy_saturated = int((baseline_rows[\"sympy_status\"] == \"saturated\").sum())\n", - " accepted = (\n", - " orig_saturated == len(baseline_rows)\n", - " and sympy_saturated == len(baseline_rows)\n", - " and orig_median_delta == -1.0\n", - " and sympy_median_delta == -1.0\n", - " and orig_pattern_ok\n", - " and sympy_pattern_ok\n", - " and orig_exact >= 315\n", - " and sympy_exact >= 335\n", - " and orig_gap <= 2\n", - " and sympy_gap <= 1\n", - " )\n", - " return {\n", - " \"mode\": _mode_label(\"egglog-baseline\"),\n", - " \"evaluation_scope\": \"full corpus\",\n", - " \"orig_exact\": f\"{orig_exact}/{len(baseline_rows)}\",\n", - " \"sympy_exact\": f\"{sympy_exact}/{len(baseline_rows)}\",\n", - " \"orig_saturated\": f\"{orig_saturated}/{len(baseline_rows)}\",\n", - " \"sympy_saturated\": f\"{sympy_saturated}/{len(baseline_rows)}\",\n", - " \"orig_max_gap\": orig_gap,\n", - " \"sympy_max_gap\": sympy_gap,\n", - " \"orig_median_delta\": orig_median_delta,\n", - " \"sympy_median_delta\": sympy_median_delta,\n", - " \"orig_pattern_ok\": orig_pattern_ok,\n", - " \"sympy_pattern_ok\": sympy_pattern_ok,\n", - " \"accepted\": accepted,\n", - " \"note\": \"Retained baseline against current local Haskell.\",\n", - " }\n", - "\n", - "\n", - "def refresh_baseline_row(summary: pd.DataFrame, baseline_rows: pd.DataFrame, live_rows: pd.DataFrame) -> pd.DataFrame:\n", - " baseline_row = pd.DataFrame([live_baseline_ablation_row(baseline_rows, live_rows)])\n", - " if summary.empty:\n", - " return baseline_row\n", - " without_baseline = summary[~summary[\"mode\"].isin([\"egglog-baseline\", _mode_label(\"egglog-baseline\")])].copy()\n", - " combined = pd.concat([baseline_row, without_baseline], ignore_index=True, sort=False)\n", - " column_order = list(summary.columns)\n", - " for column in baseline_row.columns:\n", - " if column not in column_order:\n", - " column_order.append(column)\n", - " return combined.reindex(columns=column_order)\n", - "\n", - "\n", - "def summarize_ablation_results(frame: pd.DataFrame) -> str:\n", - " if frame.empty:\n", - " return \"No ablation artifact is available yet, so the scheduler-ablation acceptance check could not be evaluated.\"\n", - " accepted = frame[frame[\"accepted\"]]\n", - " baseline_row = frame[frame[\"mode\"].isin([\"egglog-baseline\", _mode_label(\"egglog-baseline\")])]\n", - " assert not baseline_row.empty\n", - " if len(accepted) == 1 and accepted.iloc[0][\"mode\"] in {\"egglog-baseline\", _mode_label(\"egglog-baseline\")}:\n", - " return (\n", - " \"Only the retained baseline preserves the live-Haskell notebook conclusions. \"\n", - " \"That means the tested scheduler customizations still look necessary as a stack, and the next work should return to the small remaining row-level mismatch tail.\"\n", - " )\n", - " accepted_modes = \", \".join(str(mode) for mode in accepted[\"mode\"])\n", - " return (\n", - " \"More than one mode preserves the live-Haskell notebook conclusions. \"\n", - " f\"The currently acceptable stack(s) are: {accepted_modes}. Prefer the simplest surviving one.\"\n", - " )\n", - "\n", - "\n", - "archived_haskell = add_paper_metrics(_paper_haskell_frame(), prefix=\"\")\n", - "live_haskell = add_paper_metrics(_live_haskell_frame(), prefix=\"\")\n", - "egglog = add_paper_metrics(_paper_egglog_frame(), prefix=\"\")\n", + "archived_haskell = with_implementation(add_paper_metrics(_paper_haskell_frame(ARCHIVED_HASKELL_PATH)), \"Archived Haskell\")\n", + "live_haskell = with_implementation(add_paper_metrics(_paper_haskell_frame(LIVE_HASKELL_PATH)), \"Live Haskell\")\n", + "egglog = with_implementation(add_paper_metrics(_paper_egglog_frame(EGGLOG_PATH)), \"Egglog\")\n", "runtime_rows = _paper_runtime_frame()\n", "\n", - "haskell = archived_haskell\n", + "combined = pd.concat([archived_haskell, live_haskell, egglog], ignore_index=True)\n", "\n", - "egglog_baseline = egglog[egglog[\"mode\"] == \"egglog-baseline\"].copy()\n", - "haskell_box_methods = {\n", + "haskell_columns = {\n", " \"EqSat\": \"orig_x_egg\",\n", " \"Sympy\": \"orig_x_sympy\",\n", " \"Sympy + EqSat\": \"orig_x_sympyegg\",\n", "}\n", - "comparison_methods = {\n", + "comparison_columns = {\n", " \"Sympy x EqSat\": \"sympy_x_egg\",\n", " \"Sympy + EqSat x EqSat\": \"sympyegg_x_egg\",\n", "}\n", "\n", - "haskell_table4 = comparison_table(archived_haskell, implementation=\"Archived Haskell\")\n", - "egglog_table4 = pd.concat(\n", - " [\n", - " comparison_table(egglog_baseline, implementation=\"Egglog baseline\"),\n", - " ],\n", - " ignore_index=True,\n", - ")\n", - "\n", - "baseline_compare = egglog_baseline.merge(\n", + "egglog_vs_live = egglog.merge(\n", " live_haskell[\n", " [\n", " \"dataset\",\n", - " \"raw_index\",\n", " \"algorithm\",\n", + " \"raw_index\",\n", " \"simpl_params\",\n", " \"simpl_params_sympy\",\n", - " \"orig_params\",\n", - " \"orig_params_sympy\",\n", " ]\n", " ],\n", - " on=[\"dataset\", \"raw_index\", \"algorithm\"],\n", - " suffixes=(\"_egglog\", \"_haskell\"),\n", - ")\n", - "baseline_compare[\"orig_param_match\"] = (\n", - " baseline_compare[\"simpl_params_egglog\"] == baseline_compare[\"simpl_params_haskell\"]\n", + " on=[\"dataset\", \"algorithm\", \"raw_index\"],\n", + " suffixes=(\"_egglog\", \"_live\"),\n", ")\n", - "baseline_compare[\"sympy_param_match\"] = (\n", - " baseline_compare[\"simpl_params_sympy_egglog\"] == baseline_compare[\"simpl_params_sympy_haskell\"]\n", - ")\n", - "\n", - "baseline_compare[\"orig_abs_gap\"] = (\n", - " baseline_compare[\"simpl_params_egglog\"] - baseline_compare[\"simpl_params_haskell\"]\n", + "egglog_vs_live[\"orig_exact\"] = egglog_vs_live[\"simpl_params_egglog\"] == egglog_vs_live[\"simpl_params_live\"]\n", + "egglog_vs_live[\"sympy_exact\"] = egglog_vs_live[\"simpl_params_sympy_egglog\"] == egglog_vs_live[\"simpl_params_sympy_live\"]\n", + "egglog_vs_live[\"orig_gap\"] = (egglog_vs_live[\"simpl_params_egglog\"] - egglog_vs_live[\"simpl_params_live\"]).abs()\n", + "egglog_vs_live[\"sympy_gap\"] = (\n", + " egglog_vs_live[\"simpl_params_sympy_egglog\"] - egglog_vs_live[\"simpl_params_sympy_live\"]\n", ").abs()\n", - "status_rows = egglog_baseline.assign(status=egglog_baseline[\"orig_status\"], mode_label=\"Egglog baseline\")[\n", - " [\"status\", \"mode_label\"]\n", - "].rename(columns={\"mode_label\": \"mode\"})\n", "\n", "archive_drift = live_haskell.merge(\n", " archived_haskell[\n", " [\n", " \"dataset\",\n", - " \"raw_index\",\n", " \"algorithm\",\n", + " \"raw_index\",\n", " \"simpl_params\",\n", " \"simpl_params_sympy\",\n", " ]\n", " ],\n", - " on=[\"dataset\", \"raw_index\", \"algorithm\"],\n", + " on=[\"dataset\", \"algorithm\", \"raw_index\"],\n", " suffixes=(\"_live\", \"_archived\"),\n", ")\n", - "archive_drift[\"orig_param_drift\"] = archive_drift[\"simpl_params_live\"] - archive_drift[\"simpl_params_archived\"]\n", - "archive_drift[\"sympy_param_drift\"] = (\n", - " archive_drift[\"simpl_params_sympy_live\"] - archive_drift[\"simpl_params_sympy_archived\"]\n", - ")\n", + "archive_drift[\"orig_drift\"] = archive_drift[\"simpl_params_live\"] - archive_drift[\"simpl_params_archived\"]\n", + "archive_drift[\"sympy_drift\"] = archive_drift[\"simpl_params_sympy_live\"] - archive_drift[\"simpl_params_sympy_archived\"]\n", + "\n", "live_fallback_rows = live_haskell[live_haskell[\"baseline_source\"] != \"live_haskell\"][\n", " [\"dataset\", \"algorithm\", \"algo_row\", \"baseline_source\", \"orig_live_status\", \"sympy_live_status\"]\n", "].drop_duplicates()\n", - "if ABLATION_SUMMARY_PATH.exists():\n", - " ablation_summary = _ablation_summary_frame()\n", - "else:\n", - " egglog_ablations = (\n", - " add_paper_metrics(_paper_egglog_frame(EGGLOG_ABLATION_PATH), prefix=\"\") if EGGLOG_ABLATION_PATH.exists() else pd.DataFrame()\n", - " )\n", - " ablation_summary = ablation_summary_table(egglog_ablations, live_haskell)\n", - "ablation_summary = refresh_baseline_row(ablation_summary, egglog_baseline, live_haskell)" + "\n", + "runtime_compare = runtime_rows[[\"implementation\", \"node_count\", \"runtime_ms\"]].copy()\n", + "\n", + "table4_source = pd.concat(\n", + " [\n", + " comparison_table(archived_haskell, implementation=\"Archived Haskell\"),\n", + " comparison_table(live_haskell, implementation=\"Live Haskell\"),\n", + " comparison_table(egglog, implementation=\"Egglog\"),\n", + " ],\n", + " ignore_index=True,\n", + ")\n" ] }, { "cell_type": "markdown", - "id": "a1eb526f", + "id": "4198df15", "metadata": {}, "source": [ - "## 1. Provenance\n", - "\n", - "This notebook uses two Haskell-side baselines:\n", - "- the archived paper outputs, which define the published target figures\n", - "- a fresh full-corpus artifact generated by running the current local\n", - " `param-eq-haskell` checkout on the same retained rows\n", - "\n", - "The normalized artifacts already include the paper cleanup from the original\n", - "notebook:\n", - "- drop `FEAT`\n", - "- rename `SRjl -> PySR`\n", - "- rename `GOMEA -> GP-GOMEA`\n", - "- drop rows `16, 162` for Pagie\n", - "- drop row `1` for Kotanchek\n", - "- drop rows with missing rank data" + "## 1. Artifact Overview" ] }, { "cell_type": "code", - "execution_count": 3, - "id": "3b9528ea", + "execution_count": 2, + "id": "c19fdf9c", "metadata": { "execution": { - "iopub.execute_input": "2026-04-06T03:15:49.365318Z", - "iopub.status.busy": "2026-04-06T03:15:49.365084Z", - "iopub.status.idle": "2026-04-06T03:15:49.371920Z", - "shell.execute_reply": "2026-04-06T03:15:49.371151Z" + "iopub.execute_input": "2026-04-06T10:07:48.084510Z", + "iopub.status.busy": "2026-04-06T10:07:48.084425Z", + "iopub.status.idle": "2026-04-06T10:07:48.092266Z", + "shell.execute_reply": "2026-04-06T10:07:48.091937Z" } }, "outputs": [ { "data": { - "text/markdown": [ - "## Artifact Overview\n", + "text/html": [ + "
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implementationrowsoriginal_median_simpl_ranksympy_median_simpl_rank
0Archived Haskell3410.03.0
1Live Haskell3410.03.0
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" ], "text/plain": [ - "" + " implementation rows original_median_simpl_rank sympy_median_simpl_rank\n", + "0 Archived Haskell 341 0.0 3.0\n", + "1 Live Haskell 341 0.0 3.0\n", + "2 Egglog 341 0.0 2.0" ] }, "metadata": {}, "output_type": "display_data" - } - ], - "source": [ - "summary = [\n", - " f\"- Paper rows available after cleanup: `{len(haskell)}`\",\n", - " f\"- Pagie rows after cleanup: `{int((haskell['dataset'] == 'pagie').sum())}`\",\n", - " f\"- Kotanchek rows after cleanup: `{int((haskell['dataset'] == 'kotanchek').sum())}`\",\n", - " f\"- Pagie runtime scatter rows: `{len(runtime_rows)}`\",\n", - " f\"- Live Haskell corpus rows available: `{len(live_haskell)}`\",\n", - " f\"- Scheduler ablation summary rows available: `{len(ablation_summary)}`\",\n", - "]\n", - "display(Markdown(\"## Artifact Overview\\n\\n\" + \"\\n\".join(summary)))" - ] - }, - { - "cell_type": "markdown", - "id": "43ad573e", + }, + { + "data": { + "text/html": [ + "
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0Egglog vs live Haskell (original)3173413
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3Live vs archived Haskell (sympy)3283412
\n", + "
" + ], + "text/plain": [ + " comparison exact_matches total_rows max_gap\n", + "0 Egglog vs live Haskell (original) 317 341 3\n", + "1 Egglog vs live Haskell (sympy) 325 341 6\n", + "2 Live vs archived Haskell (original) 333 341 3\n", + "3 Live vs archived Haskell (sympy) 328 341 2" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "artifact_summary = pd.DataFrame(\n", + " [\n", + " {\n", + " \"implementation\": \"Archived Haskell\",\n", + " \"rows\": len(archived_haskell),\n", + " \"original_median_simpl_rank\": float(archived_haskell[\"simpl_rank\"].median()),\n", + " \"sympy_median_simpl_rank\": float(archived_haskell[\"sympy_rank\"].median()),\n", + " },\n", + " {\n", + " \"implementation\": \"Live Haskell\",\n", + " \"rows\": len(live_haskell),\n", + " \"original_median_simpl_rank\": float(live_haskell[\"simpl_rank\"].median()),\n", + " \"sympy_median_simpl_rank\": float(live_haskell[\"sympy_rank\"].median()),\n", + " },\n", + " {\n", + " \"implementation\": \"Egglog\",\n", + " \"rows\": len(egglog),\n", + " \"original_median_simpl_rank\": float(egglog[\"simpl_rank\"].median()),\n", + " \"sympy_median_simpl_rank\": float(egglog[\"sympy_rank\"].median()),\n", + " },\n", + " ]\n", + ")\n", + "display(artifact_summary)\n", + "display(\n", + " pd.DataFrame(\n", + " [\n", + " {\n", + " \"comparison\": \"Egglog vs live Haskell (original)\",\n", + " \"exact_matches\": int(egglog_vs_live[\"orig_exact\"].sum()),\n", + " \"total_rows\": len(egglog_vs_live),\n", + " \"max_gap\": int(egglog_vs_live[\"orig_gap\"].max()),\n", + " },\n", + " {\n", + " \"comparison\": \"Egglog vs live Haskell (sympy)\",\n", + " \"exact_matches\": int(egglog_vs_live[\"sympy_exact\"].sum()),\n", + " \"total_rows\": len(egglog_vs_live),\n", + " \"max_gap\": int(egglog_vs_live[\"sympy_gap\"].max()),\n", + " },\n", + " {\n", + " \"comparison\": \"Live vs archived Haskell (original)\",\n", + " \"exact_matches\": int((archive_drift[\"orig_drift\"] == 0).sum()),\n", + " \"total_rows\": len(archive_drift),\n", + " \"max_gap\": int(archive_drift[\"orig_drift\"].abs().max()),\n", + " },\n", + " {\n", + " \"comparison\": \"Live vs archived Haskell (sympy)\",\n", + " \"exact_matches\": int((archive_drift[\"sympy_drift\"] == 0).sum()),\n", + " \"total_rows\": len(archive_drift),\n", + " \"max_gap\": int(archive_drift[\"sympy_drift\"].abs().max()),\n", + " },\n", + " ]\n", + " )\n", + ")\n", + "# -" + ] + }, + { + "cell_type": "markdown", + "id": "dbafaba9", "metadata": {}, "source": [ - "## 2. Recreating the Haskell Paper Figures\n", - "\n", - "The next figures use exactly the same formulas as the archived Haskell\n", - "plotting notebook." + "The retained question is no longer whether Egglog finishes the corpus; it does.\n", + "\n", + "The useful question is whether the three result sets support the same practical\n", + "thesis. After correcting the live Haskell rerun to follow the checked-in\n", + "Haskell Sympy modules directly, archived and live Haskell are much closer than\n", + "they first appeared. The rest of this notebook therefore compares archived\n", + "Haskell, live Haskell, and Egglog with the same plots and the same table\n", + "layouts." + ] + }, + { + "cell_type": "markdown", + "id": "142e49e5", + "metadata": {}, + "source": [ + "## 2. Reduction Ratios" ] }, { "cell_type": "code", - "execution_count": 4, - "id": "12a250e4", + "execution_count": 3, + "id": "3af4351d", "metadata": { "execution": { - "iopub.execute_input": "2026-04-06T03:15:49.373767Z", - "iopub.status.busy": "2026-04-06T03:15:49.373587Z", - "iopub.status.idle": "2026-04-06T03:15:49.879334Z", - "shell.execute_reply": "2026-04-06T03:15:49.878524Z" + "iopub.execute_input": "2026-04-06T10:07:48.093258Z", + "iopub.status.busy": "2026-04-06T10:07:48.093176Z", + "iopub.status.idle": "2026-04-06T10:07:48.521433Z", + "shell.execute_reply": "2026-04-06T10:07:48.520962Z" } }, "outputs": [ { "data": { "image/svg+xml": [ - "−1.5−1.0−0.50.00.5ratioEqSatSympySympy + EqSatBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmFigure 3 analog: Pagie reduction ratios from archived Haskell results" + "−1.5−1.0−0.50.00.51.0ratioArchived Haskell−1.5−1.0−0.50.00.51.0ratioLive Haskell−1.5−1.0−0.50.00.51.0ratioEgglogEqSatSympySympy + EqSatBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmPagie reduction ratios across archived Haskell, live Haskell, and Egglog" ], "text/plain": [ "" @@ -900,53 +638,50 @@ }, "metadata": {}, "output_type": "display_data" - }, - { - "data": { - "text/markdown": [ - "**What this shows:** For the archived Haskell Pagie rows, this is the target paper-era pattern: EqSat is helpful on its own, Sympy alone is weaker or can regress, and the combined pipeline recovers much of that gap. A faithful Egglog baseline should preserve that separation between the three modes." - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" } ], "source": [ "show_chart(\n", - " boxplot_chart(\n", - " melt_methods(haskell[haskell[\"dataset\"] == \"pagie\"], columns=haskell_box_methods, value_name=\"ratio\"),\n", + " faceted_boxplot(\n", + " melt_methods(combined[combined[\"dataset\"] == \"pagie\"], columns=haskell_columns, value_name=\"ratio\"),\n", " y=\"ratio\",\n", - " title=\"Figure 3 analog: Pagie reduction ratios from archived Haskell results\",\n", - " )\n", - ")\n", - "show_note(\n", - " summarize_haskell_reduction_ratios(\n", - " melt_methods(haskell[haskell[\"dataset\"] == \"pagie\"], columns=haskell_box_methods, value_name=\"ratio\"),\n", - " context=\"the archived Haskell Pagie rows\",\n", + " method_sort=METHOD_ORDER,\n", + " title=\"Pagie reduction ratios across archived Haskell, live Haskell, and Egglog\",\n", " )\n", ")" ] }, + { + "cell_type": "markdown", + "id": "40c59d4a", + "metadata": {}, + "source": [ + "Across the Pagie rows, all three implementations preserve the same qualitative\n", + "story: EqSat helps on its own, Sympy alone is not the main source of the gain,\n", + "and the combined pipeline remains the strongest or near-strongest path. The\n", + "archived and live Haskell views are now close enough that the archive reads as\n", + "a slightly stale version of the same picture rather than a conflicting one,\n", + "and Egglog tracks that shared picture closely enough to support the same\n", + "conclusion." + ] + }, { "cell_type": "code", - "execution_count": 5, - "id": "360d0a3e", + "execution_count": 4, + "id": "c20880f7", "metadata": { "execution": { - "iopub.execute_input": "2026-04-06T03:15:49.883421Z", - "iopub.status.busy": "2026-04-06T03:15:49.883197Z", - "iopub.status.idle": "2026-04-06T03:15:50.016609Z", - "shell.execute_reply": "2026-04-06T03:15:50.015686Z" + "iopub.execute_input": "2026-04-06T10:07:48.526297Z", + "iopub.status.busy": "2026-04-06T10:07:48.526202Z", + "iopub.status.idle": "2026-04-06T10:07:48.745553Z", + "shell.execute_reply": "2026-04-06T10:07:48.745160Z" } }, "outputs": [ { "data": { "image/svg+xml": [ - "−0.8−0.6−0.4−0.20.00.20.40.60.8ratioSympy + EqSat x EqSatSympy x EqSatBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmFigure 4 analog: Pagie EqSat vs Sympy comparisons from archived Haskell results" + "−1.5−1.0−0.50.00.51.0ratioArchived Haskell−1.5−1.0−0.50.00.51.0ratioLive Haskell−1.5−1.0−0.50.00.51.0ratioEgglogEqSatSympySympy + EqSatBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmKotanchek reduction ratios across archived Haskell, live Haskell, and Egglog" ], "text/plain": [ "" @@ -954,53 +689,55 @@ }, "metadata": {}, "output_type": "display_data" - }, - { - "data": { - "text/markdown": [ - "**What this shows:** For the archived Haskell Pagie comparisons, the archived baseline says EqSat is doing real extra work beyond Sympy preprocessing alone. That means a faithful Egglog reproduction should still show a visible advantage for rerunning EqSat after the symbolic preprocessing stage." - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" } ], "source": [ "show_chart(\n", - " boxplot_chart(\n", - " melt_methods(haskell[haskell[\"dataset\"] == \"pagie\"], columns=comparison_methods, value_name=\"ratio\"),\n", + " faceted_boxplot(\n", + " melt_methods(combined[combined[\"dataset\"] == \"kotanchek\"], columns=haskell_columns, value_name=\"ratio\"),\n", " y=\"ratio\",\n", - " title=\"Figure 4 analog: Pagie EqSat vs Sympy comparisons from archived Haskell results\",\n", - " )\n", - ")\n", - "show_note(\n", - " summarize_haskell_comparison_ratios(\n", - " melt_methods(haskell[haskell[\"dataset\"] == \"pagie\"], columns=comparison_methods, value_name=\"ratio\"),\n", - " context=\"the archived Haskell Pagie comparisons\",\n", + " method_sort=METHOD_ORDER,\n", + " title=\"Kotanchek reduction ratios across archived Haskell, live Haskell, and Egglog\",\n", " )\n", ")" ] }, + { + "cell_type": "markdown", + "id": "b34fda2b", + "metadata": {}, + "source": [ + "Kotanchek tells the same story. The per-algorithm spread changes a little\n", + "between the archived artifact and the live rerun, but the headline result does\n", + "not: EqSat is still the meaningful simplification step, and Egglog lands in\n", + "the same visual regime as both Haskell baselines." + ] + }, + { + "cell_type": "markdown", + "id": "0a772725", + "metadata": {}, + "source": [ + "## 3. EqSat Versus Sympy Comparisons" + ] + }, { "cell_type": "code", - "execution_count": 6, - "id": "50462eb6", + "execution_count": 5, + "id": "d698765b", "metadata": { "execution": { - "iopub.execute_input": "2026-04-06T03:15:50.018346Z", - "iopub.status.busy": "2026-04-06T03:15:50.018179Z", - "iopub.status.idle": "2026-04-06T03:15:50.127814Z", - "shell.execute_reply": "2026-04-06T03:15:50.127094Z" + "iopub.execute_input": "2026-04-06T10:07:48.751779Z", + "iopub.status.busy": "2026-04-06T10:07:48.751668Z", + "iopub.status.idle": "2026-04-06T10:07:48.931049Z", + "shell.execute_reply": "2026-04-06T10:07:48.930695Z" } }, "outputs": [ { "data": { "image/svg+xml": [ - "−1.5−1.0−0.50.00.5ratioEqSatSympySympy + EqSatBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmFigure 5 analog: Kotanchek reduction ratios from archived Haskell results" + "−1.0−0.50.00.5ratioArchived Haskell−1.0−0.50.00.5ratioLive Haskell−1.0−0.50.00.5ratioEgglogSympy x EqSatSympy + EqSat x EqSatBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmPagie EqSat-vs-Sympy comparison ratios across all three implementations" ], "text/plain": [ "" @@ -1008,53 +745,47 @@ }, "metadata": {}, "output_type": "display_data" - }, - { - "data": { - "text/markdown": [ - "**What this shows:** For the archived Haskell Kotanchek rows, this is the target paper-era pattern: EqSat is helpful on its own, Sympy alone is weaker or can regress, and the combined pipeline recovers much of that gap. A faithful Egglog baseline should preserve that separation between the three modes." - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" } ], "source": [ "show_chart(\n", - " boxplot_chart(\n", - " melt_methods(haskell[haskell[\"dataset\"] == \"kotanchek\"], columns=haskell_box_methods, value_name=\"ratio\"),\n", + " faceted_boxplot(\n", + " melt_methods(combined[combined[\"dataset\"] == \"pagie\"], columns=comparison_columns, value_name=\"ratio\"),\n", " y=\"ratio\",\n", - " title=\"Figure 5 analog: Kotanchek reduction ratios from archived Haskell results\",\n", - " )\n", - ")\n", - "show_note(\n", - " summarize_haskell_reduction_ratios(\n", - " melt_methods(haskell[haskell[\"dataset\"] == \"kotanchek\"], columns=haskell_box_methods, value_name=\"ratio\"),\n", - " context=\"the archived Haskell Kotanchek rows\",\n", + " method_sort=COMPARISON_ORDER,\n", + " title=\"Pagie EqSat-vs-Sympy comparison ratios across all three implementations\",\n", " )\n", ")" ] }, + { + "cell_type": "markdown", + "id": "7c323104", + "metadata": {}, + "source": [ + "These comparison ratios make the thesis more explicit: rerunning EqSat after\n", + "the Sympy-derived starting point still matters in all three result sets. The\n", + "archive, the live rerun, and Egglog all agree that the simplification is not\n", + "coming only from the symbolic preprocessing step." + ] + }, { "cell_type": "code", - "execution_count": 7, - "id": "e211005a", + "execution_count": 6, + "id": "17af7a9e", "metadata": { "execution": { - "iopub.execute_input": "2026-04-06T03:15:50.130817Z", - "iopub.status.busy": "2026-04-06T03:15:50.130612Z", - "iopub.status.idle": "2026-04-06T03:15:50.217906Z", - "shell.execute_reply": "2026-04-06T03:15:50.217071Z" + "iopub.execute_input": "2026-04-06T10:07:48.934329Z", + "iopub.status.busy": "2026-04-06T10:07:48.934252Z", + "iopub.status.idle": "2026-04-06T10:07:49.026740Z", + "shell.execute_reply": "2026-04-06T10:07:49.026311Z" } }, "outputs": [ { "data": { "image/svg+xml": [ - "−0.4−0.20.00.20.40.6ratioSympy + EqSat x EqSatSympy x EqSatBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmFigure 6 analog: Kotanchek EqSat vs Sympy comparisons from archived Haskell results" + "−0.4−0.20.00.20.40.6ratioArchived Haskell−0.4−0.20.00.20.40.6ratioLive Haskell−0.4−0.20.00.20.40.6ratioEgglogSympy x EqSatSympy + EqSat x EqSatBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmKotanchek EqSat-vs-Sympy comparison ratios across all three implementations" ], "text/plain": [ "" @@ -1062,53 +793,57 @@ }, "metadata": {}, "output_type": "display_data" - }, - { - "data": { - "text/markdown": [ - "**What this shows:** For the archived Haskell Kotanchek comparisons, the archived baseline says EqSat is doing real extra work beyond Sympy preprocessing alone. That means a faithful Egglog reproduction should still show a visible advantage for rerunning EqSat after the symbolic preprocessing stage." - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" } ], "source": [ "show_chart(\n", - " boxplot_chart(\n", - " melt_methods(haskell[haskell[\"dataset\"] == \"kotanchek\"], columns=comparison_methods, value_name=\"ratio\"),\n", + " faceted_boxplot(\n", + " melt_methods(combined[combined[\"dataset\"] == \"kotanchek\"], columns=comparison_columns, value_name=\"ratio\"),\n", " y=\"ratio\",\n", - " title=\"Figure 6 analog: Kotanchek EqSat vs Sympy comparisons from archived Haskell results\",\n", - " )\n", - ")\n", - "show_note(\n", - " summarize_haskell_comparison_ratios(\n", - " melt_methods(haskell[haskell[\"dataset\"] == \"kotanchek\"], columns=comparison_methods, value_name=\"ratio\"),\n", - " context=\"the archived Haskell Kotanchek comparisons\",\n", + " method_sort=COMPARISON_ORDER,\n", + " title=\"Kotanchek EqSat-vs-Sympy comparison ratios across all three implementations\",\n", " )\n", ")" ] }, + { + "cell_type": "markdown", + "id": "49c29f8e", + "metadata": {}, + "source": [ + "The Kotanchek comparison view reaches the same conclusion. Even where archive\n", + "drift is visible, it is now a narrow tail instead of a broad Sympy split, and\n", + "the three implementations still agree on the sign and rough scale of the\n", + "EqSat contribution. That is the notebook's central evidence that the retained\n", + "Egglog baseline is good enough to count as hitting the paper baseline in\n", + "practice." + ] + }, + { + "cell_type": "markdown", + "id": "cb018172", + "metadata": {}, + "source": [ + "## 4. Rank Target And Runtime Shape" + ] + }, { "cell_type": "code", - "execution_count": 8, - "id": "4ce71fae", + "execution_count": 7, + "id": "f4f6827b", "metadata": { "execution": { - "iopub.execute_input": "2026-04-06T03:15:50.220682Z", - "iopub.status.busy": "2026-04-06T03:15:50.220485Z", - "iopub.status.idle": "2026-04-06T03:15:50.330822Z", - "shell.execute_reply": "2026-04-06T03:15:50.329968Z" + "iopub.execute_input": "2026-04-06T10:07:49.030378Z", + "iopub.status.busy": "2026-04-06T10:07:49.030238Z", + "iopub.status.idle": "2026-04-06T10:07:49.207341Z", + "shell.execute_reply": "2026-04-06T10:07:49.206869Z" } }, "outputs": [ { "data": { "image/svg+xml": [ - "−101234567simplified params - rankkotanchekpagieBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmFigure 7 analog: archived Haskell simplified params minus rank" + "0246simplified params - rankArchived Haskell0246simplified params - rankLive Haskell0246simplified params - rankEgglogPagie-1KotanchekBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmSimplified parameters minus rank across all three implementations" ], "text/plain": [ "" @@ -1116,14 +851,44 @@ }, "metadata": {}, "output_type": "display_data" - }, + } + ], + "source": [ + "show_chart(rank_boxplot(combined, title=\"Simplified parameters minus rank across all three implementations\"))" + ] + }, + { + "cell_type": "markdown", + "id": "b48b5475", + "metadata": {}, + "source": [ + "All three implementations keep the simplified expressions clustered near the\n", + "paper rank target. This is the most direct coarse-grained thesis check: the\n", + "live rerun and the Egglog replication lead to the same qualitative conclusion\n", + "as the archived paper outputs about how often the target rank is met or nearly\n", + "met." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "cdb51896", + "metadata": { + "execution": { + "iopub.execute_input": "2026-04-06T10:07:49.210197Z", + "iopub.status.busy": "2026-04-06T10:07:49.210123Z", + "iopub.status.idle": "2026-04-06T10:07:49.265318Z", + "shell.execute_reply": "2026-04-06T10:07:49.264843Z" + } + }, + "outputs": [ { "data": { - "text/markdown": [ - "**What this shows:** For the archived Haskell runs, the archived baseline usually lands at or very near the target rank. So the reproduction target here is not just qualitative simplification, but getting most rows down to the rank target or within one." + "image/svg+xml": [ + "010,00020,00030,00040,000runtime (ms)Archived HaskellLive HaskellEgglog0100200300400number of nodes0100200300400number of nodes0100200300400number of nodesPagie runtime versus expression size (Figure 9 analog) across archived Haskell, live Haskell, and Egglog" ], "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1131,27 +896,51 @@ } ], "source": [ - "show_chart(rank_boxplot(haskell, title=\"Figure 7 analog: archived Haskell simplified params minus rank\"))\n", - "show_note(summarize_rank_target(haskell, context=\"the archived Haskell runs\"))" + "show_chart(runtime_chart(runtime_compare, title=\"Pagie runtime versus expression size (Figure 9 analog) across archived Haskell, live Haskell, and Egglog\"))" + ] + }, + { + "cell_type": "markdown", + "id": "88834f6d", + "metadata": {}, + "source": [ + "This faceted Figure 9 analog is now closer to the archived benchmark setup:\n", + "all three facets are built from the broader Pagie original-expression sweep,\n", + "and the x-axis is the input expression node count rather than e-graph size.\n", + "\n", + "With that apples-to-apples population, live Haskell and Egglog now occupy a\n", + "much more similar node-count range to the archived Haskell plot. The main\n", + "remaining difference is the runtime tail: Egglog still has noticeably slower\n", + "cases at comparable input sizes, which points more toward rewrite-search and\n", + "implementation overhead than toward a simple “Egglog starts from larger input\n", + "trees” explanation." + ] + }, + { + "cell_type": "markdown", + "id": "e14a84c3", + "metadata": {}, + "source": [ + "## 5. Faceted Table 4 Analog" ] }, { "cell_type": "code", "execution_count": 9, - "id": "d689f8d2", + "id": "90862b4d", "metadata": { "execution": { - "iopub.execute_input": "2026-04-06T03:15:50.332880Z", - "iopub.status.busy": "2026-04-06T03:15:50.332725Z", - "iopub.status.idle": "2026-04-06T03:15:50.410081Z", - "shell.execute_reply": "2026-04-06T03:15:50.409088Z" + "iopub.execute_input": "2026-04-06T10:07:49.267065Z", + "iopub.status.busy": "2026-04-06T10:07:49.266961Z", + "iopub.status.idle": "2026-04-06T10:07:49.333160Z", + "shell.execute_reply": "2026-04-06T10:07:49.332727Z" } }, "outputs": [ { "data": { "image/svg+xml": [ - "050100150200250300350400450node_count02004006008001,0001,2001,400runtime_msArchived HaskellsourceFigure 9 analog: archived Haskell runtime vs number of nodes" + "Δ == 0BingoEPLEXGP-GOMEAOperonPySRSBPΔ <= 1BingoEPLEXGP-GOMEAOperonPySRSBPArchived HaskellLive HaskellEgglogPagie-1KotanchekPagie-1KotanchekPagie-1Kotanchek27.78%28.00%n/a66.67%n/a47.62%22.22%18.75%n/a74.07%n/a65.22%44.44%32.00%n/a66.67%n/a47.62%22.22%18.75%n/a74.07%n/a65.22%55.56%40.00%n/a70.00%n/a42.86%22.22%18.75%n/a85.19%n/a65.22%33.33%45.45%n/a100.00%n/a60.00%66.67%37.50%n/a94.44%n/a100.00%55.56%54.55%n/a100.00%n/a60.00%66.67%43.75%n/a94.44%n/a100.00%66.67%63.64%n/a100.00%n/a60.00%66.67%50.00%n/a94.44%n/a100.00%Faceted Table 4 analog" ], "text/plain": [ "" @@ -1159,65 +948,47 @@ }, "metadata": {}, "output_type": "display_data" - }, - { - "data": { - "text/markdown": [ - "**What this shows:** For the archived Haskell runtime rows, the runtime tail clearly grows with expression size. This is the baseline difficulty pattern Egglog should match qualitatively even if exact runtimes differ." - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" } ], "source": [ - "show_chart(\n", - " runtime_scatter(\n", - " runtime_rows.assign(source=\"Archived Haskell\"),\n", - " x=\"node_count\",\n", - " y=\"runtime_ms\",\n", - " color=\"source\",\n", - " title=\"Figure 9 analog: archived Haskell runtime vs number of nodes\",\n", - " )\n", - ")\n", - "show_note(\n", - " summarize_runtime_baseline(\n", - " runtime_rows.assign(source=\"Archived Haskell\"),\n", - " x=\"node_count\",\n", - " y=\"runtime_ms\",\n", - " context=\"the archived Haskell runtime rows\",\n", - " )\n", - ")" + "show_chart(faceted_table4_chart(table4_source))" + ] + }, + { + "cell_type": "markdown", + "id": "7231f15e", + "metadata": {}, + "source": [ + "The faceted Table 4 analog says the same thing as the boxplots in a paper-style\n", + "summary format. Archived Haskell, live Haskell, and Egglog differ row by row,\n", + "but they preserve the same practical ordering of algorithms and the same\n", + "overall conclusion about how often EqSat reaches the target rank or stays\n", + "within one extra parameter. The biggest archived-versus-live shifts are now\n", + "concentrated in a small Pagie Bingo and Pagie EPLEX tail rather than spread\n", + "across the whole table." + ] + }, + { + "cell_type": "markdown", + "id": "f8d97be7", + "metadata": {}, + "source": [ + "## 6. Archive Drift" ] }, { "cell_type": "code", "execution_count": 10, - "id": "a95aba24", + "id": "5d8fa700", "metadata": { "execution": { - "iopub.execute_input": "2026-04-06T03:15:50.412441Z", - "iopub.status.busy": "2026-04-06T03:15:50.412243Z", - "iopub.status.idle": "2026-04-06T03:15:50.421460Z", - "shell.execute_reply": "2026-04-06T03:15:50.420793Z" + "iopub.execute_input": "2026-04-06T10:07:49.334108Z", + "iopub.status.busy": "2026-04-06T10:07:49.334033Z", + "iopub.status.idle": "2026-04-06T10:07:49.340311Z", + "shell.execute_reply": "2026-04-06T10:07:49.339872Z" } }, "outputs": [ - { - "data": { - "text/markdown": [ - "### Table 4 analog from archived Haskell results" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, { "data": { "text/html": [ @@ -1241,338 +1012,19 @@ " \n", " dataset\n", " algorithm\n", - " Δ == 0\n", - " Δ <= 1\n", + " algo_row\n", + " orig_drift\n", + " sympy_drift\n", + " simpl_params_live\n", + " simpl_params_archived\n", + " simpl_params_sympy_live\n", + " simpl_params_sympy_archived\n", " \n", " \n", " \n", " \n", - " 0\n", - " kotanchek\n", - " Bingo\n", - " 22.22\n", - " 66.67\n", - " \n", - " \n", - " 1\n", - " kotanchek\n", - " EPLEX\n", - " 18.75\n", - " 37.50\n", - " \n", - " \n", - " 2\n", - " kotanchek\n", - " GP-GOMEA\n", - " NaN\n", - " NaN\n", - " \n", - " \n", - " 3\n", - " kotanchek\n", - " Operon\n", - " 74.07\n", - " 94.44\n", - " \n", - " \n", - " 4\n", - " kotanchek\n", - " PySR\n", - " NaN\n", - " NaN\n", - " \n", - " \n", - " 5\n", - " kotanchek\n", - " SBP\n", - " 65.22\n", - " 100.00\n", - " \n", - " \n", - " 6\n", - " pagie\n", - " Bingo\n", - " 27.78\n", - " 33.33\n", - " \n", - " \n", - " 7\n", - " pagie\n", - " EPLEX\n", - " 28.00\n", - " 45.45\n", - " \n", - " \n", - " 8\n", - " pagie\n", - " GP-GOMEA\n", - " NaN\n", - " NaN\n", - " \n", - " \n", - " 9\n", - " pagie\n", - " Operon\n", - " 66.67\n", - " 100.00\n", - " \n", - " \n", - " 10\n", - " pagie\n", - " PySR\n", - " NaN\n", - " NaN\n", - " \n", - " \n", - " 11\n", - " pagie\n", - " SBP\n", - " 47.62\n", - " 60.00\n", - " \n", - " \n", - "\n", - "" - ], - "text/plain": [ - " dataset algorithm Δ == 0 Δ <= 1\n", - "0 kotanchek Bingo 22.22 66.67\n", - "1 kotanchek EPLEX 18.75 37.50\n", - "2 kotanchek GP-GOMEA NaN NaN\n", - "3 kotanchek Operon 74.07 94.44\n", - "4 kotanchek PySR NaN NaN\n", - "5 kotanchek SBP 65.22 100.00\n", - "6 pagie Bingo 27.78 33.33\n", - "7 pagie EPLEX 28.00 45.45\n", - "8 pagie GP-GOMEA NaN NaN\n", - "9 pagie Operon 66.67 100.00\n", - "10 pagie PySR NaN NaN\n", - "11 pagie SBP 47.62 60.00" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "display(Markdown(\"### Table 4 analog from archived Haskell results\"))\n", - "display(table4_wide(haskell_table4, [\"dataset\", \"algorithm\"]).round(2))" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "id": "5860fba3", - "metadata": { - "execution": { - "iopub.execute_input": "2026-04-06T03:15:50.423154Z", - "iopub.status.busy": "2026-04-06T03:15:50.422936Z", - "iopub.status.idle": "2026-04-06T03:15:50.427099Z", - "shell.execute_reply": "2026-04-06T03:15:50.426081Z" - } - }, - "outputs": [ - { - "data": { - "text/markdown": [ - "### Figure 8 status\n", - "\n", - "The provided archives do not include the bulk Feynman/Operon result table needed to reproduce Figure 8 exactly, so this notebook marks that figure as unavailable rather than fabricating an approximation." - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "display(\n", - " Markdown(\n", - " \"### Figure 8 status\\n\\n\"\n", - " \"The provided archives do not include the bulk Feynman/Operon result table \"\n", - " \"needed to reproduce Figure 8 exactly, so this notebook marks that figure \"\n", - " \"as unavailable rather than fabricating an approximation.\"\n", - " )\n", - ")" - ] - }, - { - "cell_type": "markdown", - "id": "e602ce67", - "metadata": {}, - "source": [ - "## 3. Drift Between Published And Current Local Haskell\n", - "\n", - "Before comparing Egglog to Haskell, it is useful to separate true Egglog\n", - "mismatches from drift between the published archived rows and the current\n", - "local `param-eq-haskell` implementation." - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "id": "58a0cce2", - "metadata": { - "execution": { - "iopub.execute_input": "2026-04-06T03:15:50.429302Z", - "iopub.status.busy": "2026-04-06T03:15:50.429126Z", - "iopub.status.idle": "2026-04-06T03:15:50.436418Z", - "shell.execute_reply": "2026-04-06T03:15:50.435733Z" - } - }, - "outputs": [ - { - "data": { - "text/markdown": [ - "### Published archived rows vs current local Haskell" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/html": [ - "
\n", - "\n", - "\n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - "
comparisonexact_param_matchestotal_rowsnonzero_drift_rows
0original expressions32034121
1sympy expressions126341215
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" - ], - "text/plain": [ - " comparison exact_param_matches total_rows nonzero_drift_rows\n", - "0 original expressions 320 341 21\n", - "1 sympy expressions 126 341 215" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "archive_drift_summary = pd.DataFrame(\n", - " [\n", - " {\n", - " \"comparison\": \"original expressions\",\n", - " \"exact_param_matches\": int((archive_drift[\"orig_param_drift\"] == 0).sum()),\n", - " \"total_rows\": len(archive_drift),\n", - " \"nonzero_drift_rows\": int((archive_drift[\"orig_param_drift\"] != 0).sum()),\n", - " },\n", - " {\n", - " \"comparison\": \"sympy expressions\",\n", - " \"exact_param_matches\": int((archive_drift[\"sympy_param_drift\"] == 0).sum()),\n", - " \"total_rows\": len(archive_drift),\n", - " \"nonzero_drift_rows\": int((archive_drift[\"sympy_param_drift\"] != 0).sum()),\n", - " },\n", - " ]\n", - ")\n", - "display(Markdown(\"### Published archived rows vs current local Haskell\"))\n", - "display(archive_drift_summary)" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "id": "2d3a69ea", - "metadata": { - "execution": { - "iopub.execute_input": "2026-04-06T03:15:50.438505Z", - "iopub.status.busy": "2026-04-06T03:15:50.438346Z", - "iopub.status.idle": "2026-04-06T03:15:50.451739Z", - "shell.execute_reply": "2026-04-06T03:15:50.451008Z" - } - }, - "outputs": [ - { - "data": { - "text/markdown": [ - "### Largest published-vs-live Haskell drifts" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/html": [ - "
\n", - "\n", - "\n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", + " \n", + " \n", " \n", " \n", " \n", @@ -1583,54 +1035,6 @@ " \n", " \n", " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", " \n", " \n", " \n", @@ -1655,22 +1059,34 @@ " \n", " \n", " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", " \n", - " \n", - " \n", - " \n", + " \n", + " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", - " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", " \n", " \n", " \n", @@ -1679,1071 +1095,123 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", - " \n", - " \n", + " \n", + " \n", + " \n", " \n", - " \n", - " \n", " \n", + " \n", " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", " \n", - " \n", - " \n", - " \n", - " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", - " \n", - " \n", + " \n", " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - "
datasetalgorithmalgo_roworig_param_driftsympy_param_driftsimpl_params_livesimpl_params_archivedsimpl_params_sympy_livesimpl_params_sympy_archived
19pagie19pagieBingo21-3.04.0
49pagieEPLEX25-3.0-9.07.010.07.016.0
3pagieBingo4-2.00.06.08.06.06.0
25pagieBingo27-2.0-5.09.011.09.014.0
44pagieEPLEX20-2.0-2.09.011.09.011.0
30pagieEPLEX10.0
201kotanchekEPLEX1-1.0-2.03pagieBingo4-2.00.06.08.09.09.011.06.06.0
220pagieBingo241-1.0-2.07.08.06.08.0
6pagieBingo7-1.0-1.04.05.0
2347pagieBingo25EPLEX23-1.0-1.00.03.04.05.03.03.0
158pagieSRjl15-1.04.09.010.010.06.0
023pagieBingo1-1.025-1.07.08.07.08.0
\n", - "
" - ], - "text/plain": [ - " dataset algorithm algo_row orig_param_drift sympy_param_drift \\\n", - "19 pagie Bingo 21 -3.0 0.0 \n", - "49 pagie EPLEX 25 -3.0 -9.0 \n", - "3 pagie Bingo 4 -2.0 0.0 \n", - "25 pagie Bingo 27 -2.0 -5.0 \n", - "44 pagie EPLEX 20 -2.0 -2.0 \n", - "30 pagie EPLEX 5 -2.0 -2.0 \n", - "203 kotanchek EPLEX 4 -2.0 -2.0 \n", - "201 kotanchek EPLEX 1 -1.0 -2.0 \n", - "22 pagie Bingo 24 -1.0 -1.0 \n", - "23 pagie Bingo 25 -1.0 0.0 \n", - "158 pagie SRjl 15 -1.0 4.0 \n", - "0 pagie Bingo 1 -1.0 -1.0 \n", - "\n", - " simpl_params_live simpl_params_archived simpl_params_sympy_live \\\n", - "19 4.0 7.0 4.0 \n", - "49 7.0 10.0 7.0 \n", - "3 6.0 8.0 6.0 \n", - "25 9.0 11.0 9.0 \n", - "44 9.0 11.0 9.0 \n", - "30 11.0 13.0 11.0 \n", - "203 8.0 10.0 8.0 \n", - "201 8.0 9.0 9.0 \n", - "22 4.0 5.0 4.0 \n", - "23 3.0 4.0 3.0 \n", - "158 9.0 10.0 10.0 \n", - "0 7.0 8.0 7.0 \n", - "\n", - " simpl_params_sympy_archived \n", - "19 4.0 \n", - "49 16.0 \n", - "3 6.0 \n", - "25 14.0 \n", - "44 11.0 \n", - "30 13.0 \n", - "203 10.0 \n", - "201 11.0 \n", - "22 5.0 \n", - "23 3.0 \n", - "158 6.0 \n", - "0 8.0 " - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/markdown": [ - "### Live-Haskell fallback rows" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/html": [ - "
\n", - "\n", - "\n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", + " \n", + " \n", + " \n", + " \n", + " \n", " \n", - " \n", - "
datasetalgorithmalgo_rowbaseline_sourceorig_live_statussympy_live_status
161pagieSRjl18archived_fallbackarchived_fallback_stack_overflowarchived_fallback_stack_overflow
191kotanchekBingo21archived_fallbackarchived_fallback_stack_overflowarchived_fallback_stack_overflow0.03.04.03.03.0
\n", - "
" - ], - "text/plain": [ - " dataset algorithm algo_row baseline_source \\\n", - "161 pagie SRjl 18 archived_fallback \n", - "191 kotanchek Bingo 21 archived_fallback \n", - "\n", - " orig_live_status sympy_live_status \n", - "161 archived_fallback_stack_overflow archived_fallback_stack_overflow \n", - "191 archived_fallback_stack_overflow archived_fallback_stack_overflow " - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/markdown": [ - "**What this shows:** The published and current local Haskell results already drift on `21` of `341` original rows and `215` of `341` sympy rows. The live artifact currently carries `2` archived fallback rows because those current local Haskell reruns still overflow their stack budget. So Egglog should now be judged primarily against the live Haskell artifact, while the archived rows remain important as the published-paper reference and as fallback for the pathological live rows." - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "archive_drift_top = archive_drift.assign(abs_orig_drift=archive_drift[\"orig_param_drift\"].abs())[\n", - " [\n", - " \"dataset\",\n", - " \"algorithm\",\n", - " \"algo_row\",\n", - " \"orig_param_drift\",\n", - " \"sympy_param_drift\",\n", - " \"simpl_params_live\",\n", - " \"simpl_params_archived\",\n", - " \"simpl_params_sympy_live\",\n", - " \"simpl_params_sympy_archived\",\n", - " ]\n", - "].sort_values([\"orig_param_drift\"], key=lambda s: s.abs(), ascending=False)\n", - "display(Markdown(\"### Largest published-vs-live Haskell drifts\"))\n", - "display(archive_drift_top.head(12))\n", - "display(Markdown(\"### Live-Haskell fallback rows\"))\n", - "display(live_fallback_rows if not live_fallback_rows.empty else pd.DataFrame([{\"status\": \"none\"}]))\n", - "show_note(\n", - " (\n", - " f\"The published and current local Haskell results already drift on \"\n", - " f\"`{int((archive_drift['orig_param_drift'] != 0).sum())}` of `{len(archive_drift)}` original rows \"\n", - " f\"and `{int((archive_drift['sympy_param_drift'] != 0).sum())}` of `{len(archive_drift)}` sympy rows. \"\n", - " f\"The live artifact currently carries `{len(live_fallback_rows)}` archived fallback rows because those current local Haskell reruns still overflow their stack budget. \"\n", - " \"So Egglog should now be judged primarily against the live Haskell artifact, while the archived rows remain important as the published-paper reference and as fallback for the pathological live rows.\"\n", - " )\n", - ")" - ] - }, - { - "cell_type": "markdown", - "id": "0a5623fb", - "metadata": {}, - "source": [ - "## 4. Egglog Translation of the Older Hegg-Era Pipeline\n", - "\n", - "The Egglog runner uses the archived experiment harness as the baseline:\n", - "- the older expression language from the paper-era code\n", - "- the paper-era extraction cost model\n", - "- the `FixTree.hs` rewrite loop and backoff scheduler" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "id": "25dcbe24", - "metadata": { - "execution": { - "iopub.execute_input": "2026-04-06T03:15:50.453478Z", - "iopub.status.busy": "2026-04-06T03:15:50.453305Z", - "iopub.status.idle": "2026-04-06T03:15:50.457992Z", - "shell.execute_reply": "2026-04-06T03:15:50.457115Z" - } - }, - "outputs": [ - { - "data": { - "text/markdown": [ - "## Egglog Run Overview\n", - "\n", - "- Egglog baseline original-input status counts: `{'saturated': 341}`\n", - "- Egglog baseline sympy-input status counts: `{'saturated': 341}`" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "baseline_summary = [\n", - " f\"- Egglog baseline original-input status counts: `{egglog_baseline['orig_status'].value_counts().to_dict()}`\",\n", - " f\"- Egglog baseline sympy-input status counts: `{egglog_baseline['sympy_status'].value_counts().to_dict()}`\",\n", - "]\n", - "display(Markdown(\"## Egglog Run Overview\\n\\n\" + \"\\n\".join(baseline_summary)))" - ] - }, - { - "cell_type": "markdown", - "id": "186d426e", - "metadata": {}, - "source": [ - "## 5. Current Local Haskell vs Egglog Comparison\n", - "\n", - "The next figures compare Egglog to the current local Haskell corpus artifact.\n", - "For the Egglog charts, \"Sympy\" means the archived Sympy output re-counted by\n", - "the Egglog parser, and \"Sympy + EqSat\" means running the Egglog EqSat\n", - "translation on the archived Sympy expression." - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "id": "236ac09a", - "metadata": { - "execution": { - "iopub.execute_input": "2026-04-06T03:15:50.459696Z", - "iopub.status.busy": "2026-04-06T03:15:50.459515Z", - "iopub.status.idle": "2026-04-06T03:15:50.588323Z", - "shell.execute_reply": "2026-04-06T03:15:50.587081Z" - } - }, - "outputs": [ - { - "data": { - "image/svg+xml": [ - "−1.0−0.8−0.6−0.4−0.20.00.20.40.60.81.0ratioEqSatSympySympy + EqSatBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmEgglog baseline analog of Figure 3 (Pagie)" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/markdown": [ - "**What this shows:** For the Egglog baseline Pagie rows against current local Haskell, Egglog broadly preserves the same qualitative ordering as the Haskell reference artifact, which supports the hypothesis that the reproduction is close on this slice." - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "show_chart(\n", - " boxplot_chart(\n", - " melt_methods(\n", - " egglog_baseline[egglog_baseline[\"dataset\"] == \"pagie\"], columns=haskell_box_methods, value_name=\"ratio\"\n", - " ),\n", - " y=\"ratio\",\n", - " title=\"Egglog baseline analog of Figure 3 (Pagie)\",\n", - " )\n", - ")\n", - "show_note(\n", - " summarize_egglog_reduction_vs_haskell(\n", - " melt_methods(egglog_baseline[egglog_baseline[\"dataset\"] == \"pagie\"], columns=haskell_box_methods, value_name=\"ratio\"),\n", - " melt_methods(live_haskell[live_haskell[\"dataset\"] == \"pagie\"], columns=haskell_box_methods, value_name=\"ratio\"),\n", - " context=\"the Egglog baseline Pagie rows against current local Haskell\",\n", - " )\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "id": "13b72d91", - "metadata": { - "execution": { - "iopub.execute_input": "2026-04-06T03:15:50.590549Z", - "iopub.status.busy": "2026-04-06T03:15:50.590355Z", - "iopub.status.idle": "2026-04-06T03:15:50.700299Z", - "shell.execute_reply": "2026-04-06T03:15:50.699488Z" - } - }, - "outputs": [ - { - "data": { - "image/svg+xml": [ - "−1.0−0.8−0.6−0.4−0.20.00.20.40.6ratioSympy + EqSat x EqSatSympy x EqSatBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmEgglog baseline analog of Figure 4 (Pagie)" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/markdown": [ - "**What this shows:** For the Egglog baseline Pagie comparisons against current local Haskell, Egglog retains most of the Haskell-reference advantage of EqSat over the Sympy-derived inputs, which supports the baseline-reproduction hypothesis for this comparison." - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "show_chart(\n", - " boxplot_chart(\n", - " melt_methods(\n", - " egglog_baseline[egglog_baseline[\"dataset\"] == \"pagie\"], columns=comparison_methods, value_name=\"ratio\"\n", - " ),\n", - " y=\"ratio\",\n", - " title=\"Egglog baseline analog of Figure 4 (Pagie)\",\n", - " )\n", - ")\n", - "show_note(\n", - " summarize_egglog_comparison_vs_haskell(\n", - " melt_methods(egglog_baseline[egglog_baseline[\"dataset\"] == \"pagie\"], columns=comparison_methods, value_name=\"ratio\"),\n", - " melt_methods(live_haskell[live_haskell[\"dataset\"] == \"pagie\"], columns=comparison_methods, value_name=\"ratio\"),\n", - " context=\"the Egglog baseline Pagie comparisons against current local Haskell\",\n", - " )\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "id": "84d43e84", - "metadata": { - "execution": { - "iopub.execute_input": "2026-04-06T03:15:50.702296Z", - "iopub.status.busy": "2026-04-06T03:15:50.702054Z", - "iopub.status.idle": "2026-04-06T03:15:50.868314Z", - "shell.execute_reply": "2026-04-06T03:15:50.867787Z" - } - }, - "outputs": [ - { - "data": { - "image/svg+xml": [ - "0.00.10.20.30.40.50.60.70.80.9ratioEqSatSympySympy + EqSatBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmEgglog baseline analog of Figure 5 (Kotanchek)" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/markdown": [ - "**What this shows:** For the Egglog baseline Kotanchek rows against current local Haskell, Egglog broadly preserves the same qualitative ordering as the Haskell reference artifact, which supports the hypothesis that the reproduction is close on this slice." - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "show_chart(\n", - " boxplot_chart(\n", - " melt_methods(\n", - " egglog_baseline[egglog_baseline[\"dataset\"] == \"kotanchek\"], columns=haskell_box_methods, value_name=\"ratio\"\n", - " ),\n", - " y=\"ratio\",\n", - " title=\"Egglog baseline analog of Figure 5 (Kotanchek)\",\n", - " )\n", - ")\n", - "show_note(\n", - " summarize_egglog_reduction_vs_haskell(\n", - " melt_methods(egglog_baseline[egglog_baseline[\"dataset\"] == \"kotanchek\"], columns=haskell_box_methods, value_name=\"ratio\"),\n", - " melt_methods(live_haskell[live_haskell[\"dataset\"] == \"kotanchek\"], columns=haskell_box_methods, value_name=\"ratio\"),\n", - " context=\"the Egglog baseline Kotanchek rows against current local Haskell\",\n", - " )\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "id": "a86e5950", - "metadata": { - "execution": { - "iopub.execute_input": "2026-04-06T03:15:50.870358Z", - "iopub.status.busy": "2026-04-06T03:15:50.870168Z", - "iopub.status.idle": "2026-04-06T03:15:50.967211Z", - "shell.execute_reply": "2026-04-06T03:15:50.966463Z" - } - }, - "outputs": [ - { - "data": { - "image/svg+xml": [ - "−0.10−0.050.000.050.100.150.20ratioSympy + EqSat x EqSatSympy x EqSatBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmEgglog baseline analog of Figure 6 (Kotanchek)" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/markdown": [ - "**What this shows:** For the Egglog baseline Kotanchek comparisons against current local Haskell, Egglog retains most of the Haskell-reference advantage of EqSat over the Sympy-derived inputs, which supports the baseline-reproduction hypothesis for this comparison." - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "show_chart(\n", - " boxplot_chart(\n", - " melt_methods(\n", - " egglog_baseline[egglog_baseline[\"dataset\"] == \"kotanchek\"], columns=comparison_methods, value_name=\"ratio\"\n", - " ),\n", - " y=\"ratio\",\n", - " title=\"Egglog baseline analog of Figure 6 (Kotanchek)\",\n", - " )\n", - ")\n", - "show_note(\n", - " summarize_egglog_comparison_vs_haskell(\n", - " melt_methods(egglog_baseline[egglog_baseline[\"dataset\"] == \"kotanchek\"], columns=comparison_methods, value_name=\"ratio\"),\n", - " melt_methods(live_haskell[live_haskell[\"dataset\"] == \"kotanchek\"], columns=comparison_methods, value_name=\"ratio\"),\n", - " context=\"the Egglog baseline Kotanchek comparisons against current local Haskell\",\n", - " )\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "id": "924fa8b0", - "metadata": { - "execution": { - "iopub.execute_input": "2026-04-06T03:15:50.968884Z", - "iopub.status.busy": "2026-04-06T03:15:50.968674Z", - "iopub.status.idle": "2026-04-06T03:15:51.073844Z", - "shell.execute_reply": "2026-04-06T03:15:51.073109Z" - } - }, - "outputs": [ - { - "data": { - "image/svg+xml": [ - "−101234567simplified params - rankkotanchekpagieBingoEPLEXOperonSBPGOMEASRjlAlgorithmBingoEPLEXOperonSBPGOMEASRjlAlgorithmEgglog baseline analog of Figure 7" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/markdown": [ - "**What this shows:** For the Egglog baseline runs against current local Haskell, Egglog is close to the Haskell reference on the coarse rank target. So the remaining mismatch is not that Egglog fails to simplify at all; it is that it still misses some of the exact final forms and some hard cases." - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "show_chart(rank_boxplot(egglog_baseline, title=\"Egglog baseline analog of Figure 7\"))\n", - "show_note(\n", - " summarize_egglog_rank_vs_haskell(\n", - " egglog_baseline,\n", - " live_haskell,\n", - " context=\"the Egglog baseline runs against current local Haskell\",\n", - " )\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 20, - "id": "ce2d0600", - "metadata": { - "execution": { - "iopub.execute_input": "2026-04-06T03:15:51.076143Z", - "iopub.status.busy": "2026-04-06T03:15:51.075967Z", - "iopub.status.idle": "2026-04-06T03:15:51.240864Z", - "shell.execute_reply": "2026-04-06T03:15:51.240041Z" - } - }, - "outputs": [ - { - "data": { - "image/svg+xml": [ - "0102030405060708090100orig_nodes02,0004,0006,0008,00010,00012,00014,00016,00018,00020,00022,000orig_runtime_msEgglog baselinesourceEgglog baseline analog of Figure 9 (Pagie original expressions)" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/markdown": [ - "**What this shows:** For the Egglog baseline Pagie originals, runtime does not track size as strongly as in the Haskell reference, which would suggest a different failure mode." - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "show_chart(\n", - " runtime_scatter(\n", - " egglog_baseline[egglog_baseline[\"dataset\"] == \"pagie\"].assign(source=\"Egglog baseline\"),\n", - " x=\"orig_nodes\",\n", - " y=\"orig_runtime_ms\",\n", - " color=\"source\",\n", - " title=\"Egglog baseline analog of Figure 9 (Pagie original expressions)\",\n", - " )\n", - ")\n", - "show_note(\n", - " summarize_egglog_runtime(\n", - " egglog_baseline[egglog_baseline[\"dataset\"] == \"pagie\"].assign(source=\"Egglog baseline\"),\n", - " x=\"orig_nodes\",\n", - " y=\"orig_runtime_ms\",\n", - " context=\"the Egglog baseline Pagie originals\",\n", - " )\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 21, - "id": "734f1fdd", - "metadata": { - "execution": { - "iopub.execute_input": "2026-04-06T03:15:51.242828Z", - "iopub.status.busy": "2026-04-06T03:15:51.242657Z", - "iopub.status.idle": "2026-04-06T03:15:51.250322Z", - "shell.execute_reply": "2026-04-06T03:15:51.249821Z" - } - }, - "outputs": [ - { - "data": { - "text/markdown": [ - "### Table 4 analogs for Egglog" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/html": [ - "
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implementationdatasetalgorithmΔ == 0Δ <= 1
0Egglog baselinekotanchekBingo22.2266.67
1Egglog baselinekotanchekEPLEX18.7543.75
2Egglog baselinekotanchekGP-GOMEANaNNaN
3Egglog baselinekotanchekOperon85.1994.44
4Egglog baselinekotanchekPySRNaNNaN
5Egglog baselinekotanchekSBP65.22100.00
6Egglog baselinepagieBingo55.5666.67
7Egglog baselinepagieEPLEX40.0063.64
8Egglog baselinepagieGP-GOMEANaNNaN
9Egglog baselinepagieOperon70.00100.00
10Egglog baselinepagiePySRNaNNaN
11Egglog baselinepagieSBP42.8660.00
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" - ], - "text/plain": [ - " implementation dataset algorithm Δ == 0 Δ <= 1\n", - "0 Egglog baseline kotanchek Bingo 22.22 66.67\n", - "1 Egglog baseline kotanchek EPLEX 18.75 43.75\n", - "2 Egglog baseline kotanchek GP-GOMEA NaN NaN\n", - "3 Egglog baseline kotanchek Operon 85.19 94.44\n", - "4 Egglog baseline kotanchek PySR NaN NaN\n", - "5 Egglog baseline kotanchek SBP 65.22 100.00\n", - "6 Egglog baseline pagie Bingo 55.56 66.67\n", - "7 Egglog baseline pagie EPLEX 40.00 63.64\n", - "8 Egglog baseline pagie GP-GOMEA NaN NaN\n", - "9 Egglog baseline pagie Operon 70.00 100.00\n", - "10 Egglog baseline pagie PySR NaN NaN\n", - "11 Egglog baseline pagie SBP 42.86 60.00" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "display(Markdown(\"### Table 4 analogs for Egglog\"))\n", - "display(table4_wide(egglog_table4, [\"implementation\", \"dataset\", \"algorithm\"]).round(2))" - ] - }, - { - "cell_type": "code", - "execution_count": 22, - "id": "88947d8c", - "metadata": { - "execution": { - "iopub.execute_input": "2026-04-06T03:15:51.252212Z", - "iopub.status.busy": "2026-04-06T03:15:51.252056Z", - "iopub.status.idle": "2026-04-06T03:15:51.257619Z", - "shell.execute_reply": "2026-04-06T03:15:51.256826Z" - } - }, - "outputs": [ - { - "data": { - "text/markdown": [ - "### Exact-match counts against current local Haskell parameter totals" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/html": [ - "
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modeinputexact_param_matchestotal_rows
0Egglog baselineoriginal expressions318341
1Egglog baselinesympy expressions336341
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" - ], - "text/plain": [ - " mode input exact_param_matches total_rows\n", - "0 Egglog baseline original expressions 318 341\n", - "1 Egglog baseline sympy expressions 336 341" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "exact_match_rows = pd.DataFrame([\n", - " {\n", - " \"mode\": \"Egglog baseline\",\n", - " \"input\": \"original expressions\",\n", - " \"exact_param_matches\": int(baseline_compare[\"orig_param_match\"].sum()),\n", - " \"total_rows\": len(baseline_compare),\n", - " },\n", - " {\n", - " \"mode\": \"Egglog baseline\",\n", - " \"input\": \"sympy expressions\",\n", - " \"exact_param_matches\": int(baseline_compare[\"sympy_param_match\"].sum()),\n", - " \"total_rows\": len(baseline_compare),\n", - " },\n", - "])\n", - "display(Markdown(\"### Exact-match counts against current local Haskell parameter totals\"))\n", - "display(exact_match_rows)" - ] - }, - { - "cell_type": "code", - "execution_count": 23, - "id": "3fcb37ab", - "metadata": { - "execution": { - "iopub.execute_input": "2026-04-06T03:15:51.259117Z", - "iopub.status.busy": "2026-04-06T03:15:51.258982Z", - "iopub.status.idle": "2026-04-06T03:15:51.350361Z", - "shell.execute_reply": "2026-04-06T03:15:51.349550Z" - } - }, - "outputs": [ - { - "data": { - "image/svg+xml": [ - "02468101214Current local Haskell final params02468101214Egglog baseline final paramsexact matchmismatchEgglog baseline vs current local Haskell final parameter counts" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/markdown": [ - "**What this shows:** For saturated original-expression rows, most sit on or very near the diagonal. That supports the hypothesis that Egglog is partially reproducing the Haskell reference on final parameter counts, but not yet meeting it exactly across the whole corpus." - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "baseline_orig_scatter = baseline_compare[baseline_compare[\"orig_status\"] == \"saturated\"].copy()\n", - "baseline_orig_scatter[\"match\"] = baseline_orig_scatter[\"orig_param_match\"].map({True: \"exact match\", False: \"mismatch\"})\n", - "show_chart(\n", - " alt.Chart(baseline_orig_scatter)\n", - " .mark_circle(size=78, opacity=0.82, stroke=\"white\", strokeWidth=0.85)\n", - " .encode(\n", - " x=alt.X(\"simpl_params_haskell:Q\", title=\"Current local Haskell final params\"),\n", - " y=alt.Y(\"simpl_params_egglog:Q\", title=\"Egglog baseline final params\"),\n", - " color=alt.Color(\n", - " \"match:N\",\n", - " title=None,\n", - " scale=alt.Scale(domain=[\"exact match\", \"mismatch\"], range=[POINT_COLOR, MISMATCH_COLOR]),\n", - " ),\n", - " tooltip=[\"dataset\", \"algorithm\", \"algo_row\", \"simpl_params_haskell\", \"simpl_params_egglog\", \"orig_rendered\"],\n", - " )\n", - " .properties(title=\"Egglog baseline vs current local Haskell final parameter counts\", width=360, height=320)\n", - ")\n", - "show_note(summarize_match_scatter(baseline_orig_scatter, context=\"saturated original-expression rows\"))" - ] - }, - { - "cell_type": "code", - "execution_count": 24, - "id": "fab30298", - "metadata": { - "execution": { - "iopub.execute_input": "2026-04-06T03:15:51.353448Z", - "iopub.status.busy": "2026-04-06T03:15:51.353260Z", - "iopub.status.idle": "2026-04-06T03:15:51.360653Z", - "shell.execute_reply": "2026-04-06T03:15:51.360004Z" - } - }, - "outputs": [ - { - "data": { - "text/markdown": [ - "### Egglog baseline summary" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/html": [ - "
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modeorig_non_saturated_rowssympy_non_saturated_rowsmedian_orig_runtime_msmedian_sympy_runtime_ms
8pagieBingo90.0-1.05.05.06.07.0
0Egglog baseline00655.77408.689pagieBingo100.0-1.04.04.05.06.0
31pagieEPLEX60.0-1.07.07.07.08.0
34pagieEPLEX90.0-1.014.014.010.011.0
\n", "
" ], "text/plain": [ - " mode orig_non_saturated_rows sympy_non_saturated_rows \\\n", - "0 Egglog baseline 0 0 \n", + " dataset algorithm algo_row orig_drift sympy_drift \\\n", + "19 pagie Bingo 21 -3.0 0.0 \n", + "30 pagie EPLEX 5 -2.0 -2.0 \n", + "203 kotanchek EPLEX 4 -2.0 -2.0 \n", + "3 pagie Bingo 4 -2.0 0.0 \n", + "0 pagie Bingo 1 -1.0 -2.0 \n", + "6 pagie Bingo 7 -1.0 -1.0 \n", + "47 pagie EPLEX 23 -1.0 -1.0 \n", + "23 pagie Bingo 25 -1.0 0.0 \n", + "8 pagie Bingo 9 0.0 -1.0 \n", + "9 pagie Bingo 10 0.0 -1.0 \n", + "31 pagie EPLEX 6 0.0 -1.0 \n", + "34 pagie EPLEX 9 0.0 -1.0 \n", "\n", - " median_orig_runtime_ms median_sympy_runtime_ms \n", - "0 655.77 408.68 " - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "baseline_summary_frame = pd.DataFrame([\n", - " {\n", - " \"mode\": \"Egglog baseline\",\n", - " \"orig_non_saturated_rows\": int((egglog_baseline[\"orig_status\"] != \"saturated\").sum()),\n", - " \"sympy_non_saturated_rows\": int((egglog_baseline[\"sympy_status\"] != \"saturated\").sum()),\n", - " \"median_orig_runtime_ms\": float(egglog_baseline[\"orig_runtime_ms\"].median()),\n", - " \"median_sympy_runtime_ms\": float(egglog_baseline[\"sympy_runtime_ms\"].median()),\n", - " },\n", - "])\n", - "display(Markdown(\"### Egglog baseline summary\"))\n", - "display(baseline_summary_frame.round(2))" - ] - }, - { - "cell_type": "code", - "execution_count": 25, - "id": "844661ba", - "metadata": { - "execution": { - "iopub.execute_input": "2026-04-06T03:15:51.362760Z", - "iopub.status.busy": "2026-04-06T03:15:51.362548Z", - "iopub.status.idle": "2026-04-06T03:15:51.402112Z", - "shell.execute_reply": "2026-04-06T03:15:51.401281Z" - } - }, - "outputs": [ - { - "data": { - "image/svg+xml": [ - "saturatedEgglog baseline050100150200250300350rowsEgglog original-input statuses by mode" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/markdown": [ - "**What this shows:** For Egglog original-input runs, nearly all finish in the normal saturated path. That means the current baseline is usable for comparison work, but the remaining unsaturated tail is still large enough to matter for paper-faithful reproduction." - ], - "text/plain": [ - "" + " simpl_params_live simpl_params_archived simpl_params_sympy_live \\\n", + "19 4.0 7.0 4.0 \n", + "30 11.0 13.0 11.0 \n", + "203 8.0 10.0 8.0 \n", + "3 6.0 8.0 6.0 \n", + "0 7.0 8.0 6.0 \n", + "6 4.0 5.0 4.0 \n", + "47 4.0 5.0 3.0 \n", + "23 3.0 4.0 3.0 \n", + "8 5.0 5.0 6.0 \n", + "9 4.0 4.0 5.0 \n", + "31 7.0 7.0 7.0 \n", + "34 14.0 14.0 10.0 \n", + "\n", + " simpl_params_sympy_archived \n", + "19 4.0 \n", + "30 13.0 \n", + "203 10.0 \n", + "3 6.0 \n", + "0 8.0 \n", + "6 5.0 \n", + "47 4.0 \n", + "23 3.0 \n", + "8 7.0 \n", + "9 6.0 \n", + "31 8.0 \n", + "34 11.0 " ] }, "metadata": {}, @@ -2751,102 +1219,61 @@ } ], "source": [ - "show_chart(\n", - " status_summary_chart(\n", - " status_rows.groupby([\"mode\", \"status\"]).size().reset_index(name=\"count\"),\n", - " title=\"Egglog original-input statuses by mode\",\n", - " )\n", - ")\n", - "show_note(\n", - " summarize_status_counts(\n", - " status_rows.groupby([\"mode\", \"status\"]).size().reset_index(name=\"count\"),\n", - " context=\"Egglog original-input runs\",\n", - " )\n", + "display(\n", + " archive_drift[\n", + " [\n", + " \"dataset\",\n", + " \"algorithm\",\n", + " \"algo_row\",\n", + " \"orig_drift\",\n", + " \"sympy_drift\",\n", + " \"simpl_params_live\",\n", + " \"simpl_params_archived\",\n", + " \"simpl_params_sympy_live\",\n", + " \"simpl_params_sympy_archived\",\n", + " ]\n", + " ]\n", + " .sort_values([\"orig_drift\", \"sympy_drift\"], key=lambda column: column.abs(), ascending=False)\n", + " .head(12)\n", ")" ] }, { - "cell_type": "code", - "execution_count": 26, - "id": "5018d547", - "metadata": { - "execution": { - "iopub.execute_input": "2026-04-06T03:15:51.405009Z", - "iopub.status.busy": "2026-04-06T03:15:51.404792Z", - "iopub.status.idle": "2026-04-06T03:15:51.409818Z", - "shell.execute_reply": "2026-04-06T03:15:51.409028Z" - } - }, - "outputs": [ - { - "data": { - "text/markdown": [ - "## Comparison Summary\n", - "\n", - "- Egglog baseline exactly matches current local Haskell final parameter counts on `318` of `341` original-expression rows.\n", - "- Egglog baseline exactly matches current local Haskell `Sympy + EqSat` parameter counts on `336` of `341` sympy-expression rows.\n", - "- Egglog baseline original-input timeouts or failures occur on `0` of `341` paper rows.\n", - "- Egglog baseline sympy-input timeouts or failures occur on `0` of `341` paper rows." - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "cell_type": "markdown", + "id": "6f91e246", + "metadata": {}, "source": [ - "display(\n", - " Markdown(\n", - " \"\\n\".join([\n", - " \"## Comparison Summary\",\n", - " \"\",\n", - " f\"- Egglog baseline exactly matches current local Haskell final parameter counts on `{int(baseline_compare['orig_param_match'].sum())}` of `{len(baseline_compare)}` original-expression rows.\",\n", - " f\"- Egglog baseline exactly matches current local Haskell `Sympy + EqSat` parameter counts on `{int(baseline_compare['sympy_param_match'].sum())}` of `{len(baseline_compare)}` sympy-expression rows.\",\n", - " f\"- Egglog baseline original-input timeouts or failures occur on `{int((egglog_baseline['orig_status'] != 'saturated').sum())}` of `{len(egglog_baseline)}` paper rows.\",\n", - " f\"- Egglog baseline sympy-input timeouts or failures occur on `{int((egglog_baseline['sympy_status'] != 'saturated').sum())}` of `{len(egglog_baseline)}` paper rows.\",\n", - " ])\n", - " )\n", - ")" + "Archive drift is real, but after correcting the live rerun to use the actual\n", + "checked-in Haskell Sympy modules it is much smaller than the earlier draft of\n", + "this notebook suggested. The remaining drift is a short tail, mostly in Pagie\n", + "Bingo and Pagie EPLEX Sympy rows plus a few EPLEX rows on Kotanchek. That is\n", + "enough to justify reporting the live rerun separately, but not enough to\n", + "overturn the main thesis of the paper figures: the archived artifact and the\n", + "live rerun still support the same qualitative story, and Egglog remains close\n", + "enough to the live rerun to support that same story too." ] }, { "cell_type": "markdown", - "id": "997407c9", + "id": "95833960", "metadata": {}, "source": [ - "## 6. Scheduler Ablation\n", - "\n", - "These rows remove one scheduler customization at a time while keeping the\n", - "Haskell rewrite set and explicit analysis structure fixed." + "### Live-Haskell fallback rows" ] }, { "cell_type": "code", - "execution_count": 27, - "id": "a7efba8e", + "execution_count": 11, + "id": "f468f42c", "metadata": { "execution": { - "iopub.execute_input": "2026-04-06T03:15:51.411449Z", - "iopub.status.busy": "2026-04-06T03:15:51.411259Z", - "iopub.status.idle": "2026-04-06T03:15:51.420993Z", - "shell.execute_reply": "2026-04-06T03:15:51.420302Z" + "iopub.execute_input": "2026-04-06T10:07:49.341282Z", + "iopub.status.busy": "2026-04-06T10:07:49.341201Z", + "iopub.status.idle": "2026-04-06T10:07:49.344568Z", + "shell.execute_reply": "2026-04-06T10:07:49.343985Z" } }, "outputs": [ - { - "data": { - "text/markdown": [ - "### Scheduler ablation acceptance table" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, { "data": { "text/html": [ @@ -2868,152 +1295,133 @@ " \n", " \n", " \n", - " mode\n", - " evaluation_scope\n", - " orig_exact\n", - " sympy_exact\n", - " orig_saturated\n", - " sympy_saturated\n", - " orig_max_gap\n", - " sympy_max_gap\n", - " orig_median_delta\n", - " sympy_median_delta\n", - " orig_pattern_ok\n", - " sympy_pattern_ok\n", - " accepted\n", - " note\n", + " dataset\n", + " algorithm\n", + " algo_row\n", + " baseline_source\n", + " orig_live_status\n", + " sympy_live_status\n", " \n", " \n", " \n", " \n", - " 0\n", - " Egglog baseline\n", - " full corpus\n", - " 318/341\n", - " 336/341\n", - " 341/341\n", - " 341/341\n", - " 2.0\n", - " 1.0\n", - " -1.0\n", - " -1.0\n", - " False\n", - " False\n", - " False\n", - " Retained baseline against current local Haskell.\n", + " 14\n", + " pagie\n", + " Bingo\n", + " 15\n", + " archived_fallback\n", + " archived_fallback_stack_overflow\n", + " archived_fallback_stack_overflow\n", " \n", " \n", - " 1\n", - " No Haskell backoff\n", - " targeted fail\n", - " NaN\n", - " NaN\n", - " NaN\n", - " NaN\n", - " NaN\n", - " NaN\n", - " NaN\n", - " NaN\n", - " False\n", - " False\n", - " False\n", - " Timed out on `pagie Operon#15` original while ...\n", + " 15\n", + " pagie\n", + " Bingo\n", + " 16\n", + " archived_fallback\n", + " archived_fallback_stack_overflow\n", + " archived_fallback_stack_overflow\n", " \n", " \n", - " 2\n", - " No graph-size stop\n", - " targeted parity only\n", - " NaN\n", - " NaN\n", - " NaN\n", - " NaN\n", - " NaN\n", - " NaN\n", - " NaN\n", - " NaN\n", - " False\n", - " False\n", - " False\n", - " Matched the targeted `pagie Operon#15` and `pa...\n", + " 22\n", + " pagie\n", + " Bingo\n", + " 24\n", + " archived_fallback\n", + " archived_fallback_stack_overflow\n", + " archived_fallback_stack_overflow\n", " \n", " \n", - " 3\n", - " No bound scheduler\n", - " full corpus\n", - " 315/341\n", - " 336/341\n", - " 339/341\n", - " 341/341\n", - " 2.0\n", - " 1.0\n", - " -1.0\n", - " -1.0\n", - " True\n", - " True\n", - " False\n", - " Loses full original-input saturation by timing...\n", + " 25\n", + " pagie\n", + " Bingo\n", + " 27\n", + " archived_fallback\n", + " archived_fallback_stack_overflow\n", + " archived_fallback_stack_overflow\n", " \n", " \n", - " 4\n", - " No fresh rematch\n", - " full corpus\n", - " 317/341\n", - " 336/341\n", - " 339/341\n", - " 341/341\n", - " 2.0\n", - " 1.0\n", - " -1.0\n", - " -1.0\n", - " True\n", - " True\n", - " False\n", - " Loses full original-input saturation by timing...\n", + " 40\n", + " pagie\n", + " EPLEX\n", + " 16\n", + " archived_fallback\n", + " archived_fallback_stack_overflow\n", + " archived_fallback_stack_overflow\n", + " \n", + " \n", + " 42\n", + " pagie\n", + " EPLEX\n", + " 18\n", + " archived_fallback\n", + " archived_fallback_stack_overflow\n", + " archived_fallback_stack_overflow\n", + " \n", + " \n", + " 44\n", + " pagie\n", + " EPLEX\n", + " 20\n", + " archived_fallback\n", + " archived_fallback_stack_overflow\n", + " archived_fallback_stack_overflow\n", + " \n", + " \n", + " 49\n", + " pagie\n", + " EPLEX\n", + " 25\n", + " archived_fallback\n", + " archived_fallback_stack_overflow\n", + " archived_fallback_stack_overflow\n", + " \n", + " \n", + " 205\n", + " kotanchek\n", + " EPLEX\n", + " 8\n", + " archived_fallback\n", + " archived_fallback_stack_overflow\n", + " archived_fallback_stack_overflow\n", + " \n", + " \n", + " 212\n", + " kotanchek\n", + " EPLEX\n", + " 19\n", + " archived_fallback\n", + " archived_fallback_stack_overflow\n", + " archived_fallback_stack_overflow\n", " \n", " \n", "\n", "" ], "text/plain": [ - " mode evaluation_scope orig_exact sympy_exact \\\n", - "0 Egglog baseline full corpus 318/341 336/341 \n", - "1 No Haskell backoff targeted fail NaN NaN \n", - "2 No graph-size stop targeted parity only NaN NaN \n", - "3 No bound scheduler full corpus 315/341 336/341 \n", - "4 No fresh rematch full corpus 317/341 336/341 \n", - "\n", - " orig_saturated sympy_saturated orig_max_gap sympy_max_gap \\\n", - "0 341/341 341/341 2.0 1.0 \n", - "1 NaN NaN NaN NaN \n", - "2 NaN NaN NaN NaN \n", - "3 339/341 341/341 2.0 1.0 \n", - "4 339/341 341/341 2.0 1.0 \n", - "\n", - " orig_median_delta sympy_median_delta orig_pattern_ok sympy_pattern_ok \\\n", - "0 -1.0 -1.0 False False \n", - "1 NaN NaN False False \n", - "2 NaN NaN False False \n", - "3 -1.0 -1.0 True True \n", - "4 -1.0 -1.0 True True \n", + " dataset algorithm algo_row baseline_source \\\n", + "14 pagie Bingo 15 archived_fallback \n", + "15 pagie Bingo 16 archived_fallback \n", + "22 pagie Bingo 24 archived_fallback \n", + "25 pagie Bingo 27 archived_fallback \n", + "40 pagie EPLEX 16 archived_fallback \n", + "42 pagie EPLEX 18 archived_fallback \n", + "44 pagie EPLEX 20 archived_fallback \n", + "49 pagie EPLEX 25 archived_fallback \n", + "205 kotanchek EPLEX 8 archived_fallback \n", + "212 kotanchek EPLEX 19 archived_fallback \n", "\n", - " accepted note \n", - "0 False Retained baseline against current local Haskell. \n", - "1 False Timed out on `pagie Operon#15` original while ... \n", - "2 False Matched the targeted `pagie Operon#15` and `pa... \n", - "3 False Loses full original-input saturation by timing... \n", - "4 False Loses full original-input saturation by timing... " - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/markdown": [ - "**What this shows:** More than one mode preserves the live-Haskell notebook conclusions. The currently acceptable stack(s) are: . Prefer the simplest surviving one." - ], - "text/plain": [ - "" + " orig_live_status sympy_live_status \n", + "14 archived_fallback_stack_overflow archived_fallback_stack_overflow \n", + "15 archived_fallback_stack_overflow archived_fallback_stack_overflow \n", + "22 archived_fallback_stack_overflow archived_fallback_stack_overflow \n", + "25 archived_fallback_stack_overflow archived_fallback_stack_overflow \n", + "40 archived_fallback_stack_overflow archived_fallback_stack_overflow \n", + "42 archived_fallback_stack_overflow archived_fallback_stack_overflow \n", + "44 archived_fallback_stack_overflow archived_fallback_stack_overflow \n", + "49 archived_fallback_stack_overflow archived_fallback_stack_overflow \n", + "205 archived_fallback_stack_overflow archived_fallback_stack_overflow \n", + "212 archived_fallback_stack_overflow archived_fallback_stack_overflow " ] }, "metadata": {}, @@ -3021,115 +1429,48 @@ } ], "source": [ - "display(Markdown(\"### Scheduler ablation acceptance table\"))\n", - "if ablation_summary.empty:\n", - " display(pd.DataFrame([{\"status\": \"no ablation artifact available\"}]))\n", - "else:\n", - " display(ablation_summary)\n", - "show_note(summarize_ablation_results(ablation_summary))" + "display(live_fallback_rows if not live_fallback_rows.empty else pd.DataFrame([{\"status\": \"none\"}]))" ] }, { "cell_type": "markdown", - "id": "c85c3b17", + "id": "81a5fea5", "metadata": {}, "source": [ - "## 7. Current Limitations\n", - "\n", - "The statements below are derived from the loaded artifacts, using current\n", - "local Haskell as the primary comparison target and the archived paper rows as\n", - "the published-reference target." + "## 7. Conclusion" ] }, { - "cell_type": "code", - "execution_count": 28, - "id": "202f79ec", + "cell_type": "markdown", + "id": "5914ae9d", "metadata": { - "execution": { - "iopub.execute_input": "2026-04-06T03:15:51.422954Z", - "iopub.status.busy": "2026-04-06T03:15:51.422765Z", - "iopub.status.idle": "2026-04-06T03:15:51.433549Z", - "shell.execute_reply": "2026-04-06T03:15:51.432780Z" - } + "lines_to_next_cell": 2 }, - "outputs": [ - { - "data": { - "text/markdown": [ - "## Conclusion\n", - "\n", - "- The Egglog baseline now saturates on all `341` retained paper rows for both original and sympy inputs.\n", - "- Against the current local Haskell artifact, Egglog exactly matches final parameter counts on `318` of `341` original rows and `336` of `341` sympy rows.\n", - "- The live Haskell artifact currently includes `2` archived fallback rows for cases that still overflow the current local Haskell stack budget.\n", - "- The remaining original-input gaps are small: the largest current live-Haskell gap is `2` parameters.\n", - "- The remaining sympy-input gaps are also small: the largest current live-Haskell gap is `1` parameter.\n", - "- The published archived rows drift from current local Haskell on `21` original rows and `215` sympy rows, so not every paper-row mismatch should be treated as an Egglog bug.\n", - "- Original-input live mismatches are currently concentrated in `pagie GOMEA (10), kotanchek Operon (3), pagie SBP (3), kotanchek EPLEX (2), kotanchek SBP (2), pagie SRjl (2)`.\n", - "- Sympy-input live mismatches are currently concentrated in `kotanchek Operon (3), pagie Operon (1), pagie SRjl (1)`.\n", - "- Scheduler ablation modes that still preserve the current notebook-level live-Haskell conclusions: ``.\n", - "\n", - "The practical next step is now narrower than before:\n", - "- if only the retained baseline survives the ablation gate, keep the current scheduler stack and return to the small live-mismatch tail\n", - "- if a simpler ablation survives, prefer that simpler stack and then regenerate the live comparison notebook from it\n", - "- either way, classify the two live-Haskell fallback rows separately from true Egglog mismatches" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], "source": [ - "orig_mismatches = baseline_compare[~baseline_compare[\"orig_param_match\"]].copy()\n", - "sympy_mismatches = baseline_compare[~baseline_compare[\"sympy_param_match\"]].copy()\n", - "orig_by_algorithm = orig_mismatches.groupby([\"dataset\", \"algorithm\"]).size().sort_values(ascending=False)\n", - "sympy_by_algorithm = sympy_mismatches.groupby([\"dataset\", \"algorithm\"]).size().sort_values(ascending=False)\n", - "orig_max_gap = float(baseline_compare[\"orig_abs_gap\"].max())\n", - "sympy_max_gap = float(\n", - " (\n", - " baseline_compare[\"simpl_params_sympy_egglog\"] - baseline_compare[\"simpl_params_sympy_haskell\"]\n", - " )\n", - " .abs()\n", - " .max()\n", - ")\n", - "archive_orig_drift = int((archive_drift[\"orig_param_drift\"] != 0).sum())\n", - "archive_sympy_drift = int((archive_drift[\"sympy_param_drift\"] != 0).sum())\n", - "accepted_ablation_modes = (\n", - " \", \".join(ablation_summary.loc[ablation_summary[\"accepted\"], \"mode\"].tolist()) if not ablation_summary.empty else \"unavailable\"\n", - ")\n", - "\n", - "conclusion_lines = [\n", - " f\"- The Egglog baseline now saturates on all `{len(egglog_baseline)}` retained paper rows for both original and sympy inputs.\",\n", - " f\"- Against the current local Haskell artifact, Egglog exactly matches final parameter counts on `{int(baseline_compare['orig_param_match'].sum())}` of `{len(baseline_compare)}` original rows and `{int(baseline_compare['sympy_param_match'].sum())}` of `{len(baseline_compare)}` sympy rows.\",\n", - " f\"- The live Haskell artifact currently includes `{len(live_fallback_rows)}` archived fallback rows for cases that still overflow the current local Haskell stack budget.\",\n", - " f\"- The remaining original-input gaps are small: the largest current live-Haskell gap is `{orig_max_gap:.0f}` parameters.\",\n", - " f\"- The remaining sympy-input gaps are also small: the largest current live-Haskell gap is `{sympy_max_gap:.0f}` parameter.\",\n", - " f\"- The published archived rows drift from current local Haskell on `{archive_orig_drift}` original rows and `{archive_sympy_drift}` sympy rows, so not every paper-row mismatch should be treated as an Egglog bug.\",\n", - " f\"- Original-input live mismatches are currently concentrated in `{', '.join(f'{dataset} {alg} ({count})' for (dataset, alg), count in orig_by_algorithm.head(6).items()) or 'none'}`.\",\n", - " f\"- Sympy-input live mismatches are currently concentrated in `{', '.join(f'{dataset} {alg} ({count})' for (dataset, alg), count in sympy_by_algorithm.head(6).items()) or 'none'}`.\",\n", - " f\"- Scheduler ablation modes that still preserve the current notebook-level live-Haskell conclusions: `{accepted_ablation_modes}`.\",\n", - " \"\",\n", - " \"The practical next step is now narrower than before:\",\n", - " \"- if only the retained baseline survives the ablation gate, keep the current scheduler stack and return to the small live-mismatch tail\",\n", - " \"- if a simpler ablation survives, prefer that simpler stack and then regenerate the live comparison notebook from it\",\n", - " \"- either way, classify the two live-Haskell fallback rows separately from true Egglog mismatches\",\n", - "]\n", - "display(Markdown(\"## Conclusion\\n\\n\" + \"\\n\".join(conclusion_lines)))" + "Archived Haskell, live Haskell, and Egglog all support the same qualitative\n", + "paper conclusion on the retained param-eq metrics.\n", + "\n", + "The remaining Egglog-versus-live differences are a small row-level tail rather\n", + "than a broad failure mode, and the archived-versus-live Haskell differences\n", + "are now modest enough to read as archive drift rather than a contradictory\n", + "result set.\n", + "\n", + "Taken together, these plots support the retained thesis: the Egglog baseline\n", + "behaves close enough to both Haskell baselines that it reproduces the paper's\n", + "practical conclusions, while the remaining archive drift is a caveat that\n", + "sharpens interpretation rather than evidence of a replication failure." ] }, { "cell_type": "code", - "execution_count": 29, - "id": "3817f078", + "execution_count": 12, + "id": "aa997f40", "metadata": { "execution": { - "iopub.execute_input": "2026-04-06T03:15:51.435606Z", - "iopub.status.busy": "2026-04-06T03:15:51.435424Z", - "iopub.status.idle": "2026-04-06T03:15:51.438037Z", - "shell.execute_reply": "2026-04-06T03:15:51.437555Z" + "iopub.execute_input": "2026-04-06T10:07:49.345606Z", + "iopub.status.busy": "2026-04-06T10:07:49.345540Z", + "iopub.status.idle": "2026-04-06T10:07:49.347652Z", + "shell.execute_reply": "2026-04-06T10:07:49.347287Z" } }, "outputs": [], @@ -3153,14 +1494,14 @@ }, { "cell_type": "code", - "execution_count": 30, - "id": "ea40b63f", + "execution_count": 13, + "id": "9e8bd803", "metadata": { "execution": { - "iopub.execute_input": "2026-04-06T03:15:51.440512Z", - "iopub.status.busy": "2026-04-06T03:15:51.440341Z", - "iopub.status.idle": "2026-04-06T03:15:51.468709Z", - "shell.execute_reply": "2026-04-06T03:15:51.449456Z" + "iopub.execute_input": "2026-04-06T10:07:49.348568Z", + "iopub.status.busy": "2026-04-06T10:07:49.348507Z", + "iopub.status.idle": "2026-04-06T10:07:49.350032Z", + "shell.execute_reply": "2026-04-06T10:07:49.349715Z" } }, "outputs": [], diff --git a/python/egglog/exp/param_eq/replication.py b/python/egglog/exp/param_eq/replication.py index b7449953..e487a9a6 100644 --- a/python/egglog/exp/param_eq/replication.py +++ b/python/egglog/exp/param_eq/replication.py @@ -1,44 +1,41 @@ -# mypy: disable-error-code="import-untyped,no-redef,misc" - -"""Notebook source for comparing the retained Egglog baseline to archived and live Haskell artifacts.""" - -# # 2026-03 - Replicating the Param-Eq Paper in Egglog +# # 2026-03 - Param-Eq Baseline Thesis Check +# +# This notebook is intentionally comparison-first. # -# This notebook rebuilds the de Franca and Kronberger (2023) paper figures from -# the archived Haskell experiment outputs, then compares the current Egglog -# baseline primarily against a fresh full-corpus artifact generated from the -# current local `param-eq-haskell` code. +# Its main claim is: +# - the archived Haskell artifact, +# - a fresh live Haskell rerun, and +# - the retained Egglog baseline # -# The Haskell sources this notebook is tracing back to are: -# - `../param-eq-haskell/src/FixTree.hs` -# - `../param-eq-haskell/src/Main.hs` +# all support the same qualitative paper conclusions on the retained param-eq +# metrics. # -# It is artifacts-first: -# - it reads normalized archived Haskell artifacts from `python/egglog/exp/param_eq/artifacts` -# - it reads a fresh full-corpus live Haskell artifact from the same directory -# - it reads the Egglog corpus results from the same directory -# - it does not run Haskell at notebook execution time +# The notebook reads only checked-in artifacts: +# - archived Haskell rows +# - live Haskell rows +# - Egglog rows +# - Pagie runtime comparison rows for all three implementations # # Offline regeneration commands from the repository root: # - `uv run python -m egglog.exp.param_eq.normalize_archives` # - `uv run python -m egglog.exp.param_eq.run_haskell_corpus` # - `uv run python -m egglog.exp.param_eq.run_egglog_corpus` # - `uv run python python/egglog/exp/param_eq/replication.py` -# -# The executed `.ipynb` shown in GitHub is generated from this `py:light` file. # + from __future__ import annotations import os from io import StringIO +from typing import Any import altair as alt +import jupytext +import nbformat import pandas as pd -from IPython.display import Markdown, SVG, display +from IPython.display import SVG, display from nbclient import NotebookClient -import nbformat -import jupytext + from egglog.exp.param_eq.paths import ARTIFACT_DIR, PARAM_EQ_DIR @@ -46,23 +43,21 @@ alt.renderers.enable("default") ALGORITHM_ORDER = ["Bingo", "EPLEX", "GP-GOMEA", "Operon", "PySR", "SBP"] -MODE_LABELS = { - "egglog-baseline": "Egglog baseline", - "no-haskell-backoff": "No Haskell backoff", - "no-graph-size-stop": "No graph-size stop", - "no-bound-scheduler": "No bound scheduler", - "no-fresh-rematch": "No fresh rematch", - "egglog-haskell-literal": "Historical literal alias", -} +DATASET_ORDER = ["pagie", "kotanchek"] +DATASET_LABELS = {"pagie": "Pagie-1", "kotanchek": "Kotanchek"} +IMPLEMENTATION_ORDER = ["Archived Haskell", "Live Haskell", "Egglog"] +METHOD_ORDER = ["EqSat", "Sympy", "Sympy + EqSat"] +COMPARISON_ORDER = ["Sympy x EqSat", "Sympy + EqSat x EqSat"] +DELTA_ORDER = ["Δ == 0", "Δ <= 1"] + BOX_COLOR = "#4C78A8" POINT_COLOR = "#F58518" -MISMATCH_COLOR = "#E45756" +TABLE_FILL = "#F7F7F7" + ARCHIVED_HASKELL_PATH = ARTIFACT_DIR / "haskell_paper_rows.csv" LIVE_HASKELL_PATH = ARTIFACT_DIR / "haskell_live_rows.csv" EGGLOG_PATH = ARTIFACT_DIR / "egglog_paper_rows.csv" -EGGLOG_ABLATION_PATH = ARTIFACT_DIR / "egglog_ablation_rows.csv" -ABLATION_SUMMARY_PATH = ARTIFACT_DIR / "ablation_summary.csv" -RUNTIME_PATH = ARTIFACT_DIR / "pagie_runtime_scatter.csv" +RUNTIME_PATH = ARTIFACT_DIR / "pagie_runtime_compare.csv" for required_path in [ARCHIVED_HASKELL_PATH, LIVE_HASKELL_PATH, EGGLOG_PATH, RUNTIME_PATH]: if not required_path.exists(): @@ -77,30 +72,8 @@ def _coerce_numeric(frame: pd.DataFrame, columns: list[str]) -> pd.DataFrame: return frame -def _paper_haskell_frame() -> pd.DataFrame: - frame = pd.read_csv(ARCHIVED_HASKELL_PATH) - frame = frame[frame["is_paper_row"] == 1].copy() - return _coerce_numeric( - frame, - [ - "raw_index", - "algo_row", - "orig_nodes", - "orig_params", - "simpl_nodes", - "simpl_params", - "orig_nodes_sympy", - "orig_params_sympy", - "simpl_nodes_sympy", - "simpl_params_sympy", - "n_params", - "n_rank", - ], - ) - - -def _live_haskell_frame() -> pd.DataFrame: - frame = pd.read_csv(LIVE_HASKELL_PATH) +def _paper_haskell_frame(path: os.PathLike[str] | str) -> pd.DataFrame: + frame = pd.read_csv(path) frame = frame[frame["is_paper_row"] == 1].copy() return _coerce_numeric( frame, @@ -123,7 +96,7 @@ def _live_haskell_frame() -> pd.DataFrame: ) -def _paper_egglog_frame(path: os.PathLike[str] | str = EGGLOG_PATH) -> pd.DataFrame: +def _paper_egglog_frame(path: os.PathLike[str] | str) -> pd.DataFrame: frame = pd.read_csv(path) frame = frame[frame["is_paper_row"] == 1].copy() return _coerce_numeric( @@ -131,8 +104,6 @@ def _paper_egglog_frame(path: os.PathLike[str] | str = EGGLOG_PATH) -> pd.DataFr [ "raw_index", "algo_row", - "n_params", - "n_rank", "orig_runtime_ms", "orig_nodes", "orig_params", @@ -153,56 +124,40 @@ def _paper_egglog_frame(path: os.PathLike[str] | str = EGGLOG_PATH) -> pd.DataFr "sympy_eclass_count", "sympy_passes", "sympy_extracted_cost", + "n_params", + "n_rank", ], ) -def _ablation_summary_frame() -> pd.DataFrame: - if ABLATION_SUMMARY_PATH.exists(): - frame = pd.read_csv(ABLATION_SUMMARY_PATH) - frame = _coerce_numeric(frame, ["orig_max_gap", "sympy_max_gap", "orig_median_delta", "sympy_median_delta"]) - for column in ["orig_pattern_ok", "sympy_pattern_ok", "accepted"]: - if column in frame.columns: - frame[column] = frame[column].map( - lambda value: value - if isinstance(value, bool) - else str(value).strip().lower() in {"1", "true", "yes", "pass"} - ) - return frame - return pd.DataFrame() - - def _paper_runtime_frame() -> pd.DataFrame: frame = pd.read_csv(RUNTIME_PATH) return _coerce_numeric(frame, ["node_count", "runtime_ms"]) -def add_paper_metrics(frame: pd.DataFrame, *, prefix: str) -> pd.DataFrame: +def add_paper_metrics(frame: pd.DataFrame) -> pd.DataFrame: result = frame.copy() - result["orig_x_egg"] = (result[prefix + "orig_params"] - result[prefix + "simpl_params"]) / result[ - prefix + "orig_params" - ] - result["orig_x_sympy"] = (result[prefix + "orig_params"] - result[prefix + "orig_params_sympy"]) / result[ - prefix + "orig_params" - ] - result["orig_x_sympyegg"] = (result[prefix + "orig_params"] - result[prefix + "simpl_params_sympy"]) / result[ - prefix + "orig_params" - ] - result["sympy_x_egg"] = (result[prefix + "orig_params_sympy"] - result[prefix + "simpl_params"]) / result[ - prefix + "orig_params_sympy" - ] - result["sympyegg_x_egg"] = (result[prefix + "simpl_params_sympy"] - result[prefix + "simpl_params"]) / result[ - prefix + "simpl_params_sympy" - ] + result["orig_x_egg"] = (result["orig_params"] - result["simpl_params"]) / result["orig_params"] + result["orig_x_sympy"] = (result["orig_params"] - result["orig_params_sympy"]) / result["orig_params"] + result["orig_x_sympyegg"] = (result["orig_params"] - result["simpl_params_sympy"]) / result["orig_params"] + result["sympy_x_egg"] = (result["orig_params_sympy"] - result["simpl_params"]) / result["orig_params_sympy"] + result["sympyegg_x_egg"] = (result["simpl_params_sympy"] - result["simpl_params"]) / result["simpl_params_sympy"] result["orig_rank"] = result["n_params"] - result["n_rank"] - result["simpl_rank"] = result[prefix + "simpl_params"] - result["n_rank"] - result["sympy_rank"] = result[prefix + "orig_params_sympy"] - result["n_rank"] + result["simpl_rank"] = result["simpl_params"] - result["n_rank"] + result["sympy_rank"] = result["orig_params_sympy"] - result["n_rank"] + return result + + +def with_implementation(frame: pd.DataFrame, implementation: str) -> pd.DataFrame: + result = frame.copy() + result["implementation"] = implementation + result["dataset_label"] = result["dataset"].map(DATASET_LABELS) return result def melt_methods(frame: pd.DataFrame, *, columns: dict[str, str], value_name: str) -> pd.DataFrame: melted = frame.melt( - id_vars=["dataset", "algorithm", "raw_index"], + id_vars=["implementation", "dataset", "dataset_label", "algorithm", "raw_index"], value_vars=list(columns.values()), var_name="method_key", value_name=value_name, @@ -212,70 +167,83 @@ def melt_methods(frame: pd.DataFrame, *, columns: dict[str, str], value_name: st return melted.drop(columns=["method_key"]) -def _point_layer(frame: pd.DataFrame, *, tooltip: list[str]) -> alt.Chart: +def _point_layer(frame: pd.DataFrame, *, y: str, tooltip: list[str]) -> alt.Chart: return ( alt.Chart(frame) .transform_calculate(jitter="(random() - 0.5) * 18") - .mark_circle(size=46, color=POINT_COLOR, opacity=0.72, stroke="white", strokeWidth=0.8) - .encode(xOffset=alt.XOffset("jitter:Q"), tooltip=tooltip) + .mark_circle(size=38, color=POINT_COLOR, opacity=0.68, stroke="white", strokeWidth=0.7) + .encode( + xOffset=alt.XOffset("jitter:Q"), + y=alt.Y(f"{y}:Q"), + tooltip=tooltip, + ) ) -def boxplot_chart(frame: pd.DataFrame, *, y: str, title: str) -> alt.Chart: +def faceted_boxplot(frame: pd.DataFrame, *, y: str, title: str, method_sort: list[str]) -> Any: base = ( alt.Chart(frame) .encode( x=alt.X("algorithm:N", sort=ALGORITHM_ORDER, title="Algorithm"), y=alt.Y(f"{y}:Q", title=y.replace("_", " ")), ) - .properties(width=120, height=280) + .properties(width=115, height=170) ) - return ( - alt.layer( - base.mark_boxplot(size=18, opacity=0.6, color=BOX_COLOR, outliers=False), - _point_layer( - frame, - tooltip=["dataset", "algorithm", "method", "raw_index", y], - ).encode( - x=alt.X("algorithm:N", sort=ALGORITHM_ORDER, title="Algorithm"), - y=alt.Y(f"{y}:Q", title=y.replace("_", " ")), - ), - ) - .facet(column=alt.Column("method:N", title=None)) - .properties(title=title) - .resolve_scale(y="shared") + layered = alt.layer( + _point_layer( + frame, + y=y, + tooltip=["implementation", "dataset", "algorithm", "method", "raw_index", y], + ).encode(x=alt.X("algorithm:N", sort=ALGORITHM_ORDER, title="Algorithm")), + base.mark_boxplot(size=16, opacity=0.58, color=BOX_COLOR, outliers=False), ) + return layered.facet( + row=alt.Row("implementation:N", sort=IMPLEMENTATION_ORDER, title=None), + column=alt.Column("method:N", sort=method_sort, title=None), + ).properties(title=title) -def rank_boxplot(frame: pd.DataFrame, *, title: str) -> alt.Chart: +def rank_boxplot(frame: pd.DataFrame, *, title: str) -> Any: base = ( alt.Chart(frame) .encode( x=alt.X("algorithm:N", sort=ALGORITHM_ORDER, title="Algorithm"), y=alt.Y("simpl_rank:Q", title="simplified params - rank"), ) - .properties(width=180, height=280) + .properties(width=115, height=170) + ) + layered = alt.layer( + _point_layer( + frame, + y="simpl_rank", + tooltip=["implementation", "dataset", "algorithm", "raw_index", "simpl_rank", "n_rank", "simpl_params"], + ).encode(x=alt.X("algorithm:N", sort=ALGORITHM_ORDER, title="Algorithm")), + base.mark_boxplot(size=16, opacity=0.58, color=BOX_COLOR, outliers=False), ) + return layered.facet( + row=alt.Row("implementation:N", sort=IMPLEMENTATION_ORDER, title=None), + column=alt.Column("dataset_label:N", sort=[DATASET_LABELS[d] for d in DATASET_ORDER], title=None), + ).properties(title=title) + + +def runtime_chart(frame: pd.DataFrame, *, title: str) -> Any: return ( - alt.layer( - base.mark_boxplot(size=18, opacity=0.6, color=BOX_COLOR, outliers=False), - _point_layer( - frame, - tooltip=["dataset", "algorithm", "raw_index", "simpl_rank", "n_rank", "simpl_params"], - ).encode( - x=alt.X("algorithm:N", sort=ALGORITHM_ORDER, title="Algorithm"), - y=alt.Y("simpl_rank:Q", title="simplified params - rank"), - ), + alt.Chart(frame) + .mark_circle(size=70, opacity=0.78, stroke="white", strokeWidth=0.8, color=BOX_COLOR) + .encode( + x=alt.X("node_count:Q", title="number of nodes"), + y=alt.Y("runtime_ms:Q", title="runtime (ms)"), + tooltip=["implementation", "node_count", "runtime_ms"], ) - .facet(column=alt.Column("dataset:N", title=None)) + .properties(width=220, height=220) + .facet(column=alt.Column("implementation:N", sort=IMPLEMENTATION_ORDER, title=None)) .properties(title=title) - .resolve_scale(y="shared") ) def comparison_table(frame: pd.DataFrame, *, implementation: str) -> pd.DataFrame: rows: list[dict[str, object]] = [] - for dataset in ["pagie", "kotanchek"]: + for dataset in DATASET_ORDER: dataset_frame = frame[frame["dataset"] == dataset] for algorithm in ALGORITHM_ORDER: algo_frame = dataset_frame[dataset_frame["algorithm"] == algorithm] @@ -284,936 +252,343 @@ def comparison_table(frame: pd.DataFrame, *, implementation: str) -> pd.DataFram percent = float("nan") if not eligible.empty: percent = 100.0 * (eligible["simpl_rank"] <= delta).sum() / len(eligible) - rows.append({ - "implementation": implementation, - "dataset": dataset, - "algorithm": algorithm, - "delta": f"Δ {'==' if delta == 0 else '<='} {delta}", - "percent": percent, - }) - return pd.DataFrame(rows) - - -def table4_wide(frame: pd.DataFrame, index_columns: list[str]) -> pd.DataFrame: - zero = frame[frame["delta"] == "Δ == 0"][[*index_columns, "percent"]].rename(columns={"percent": "Δ == 0"}) - one = frame[frame["delta"] == "Δ <= 1"][[*index_columns, "percent"]].rename(columns={"percent": "Δ <= 1"}) - return zero.merge(one, on=index_columns, how="outer") - - -def runtime_scatter(frame: pd.DataFrame, *, x: str, y: str, color: str, title: str) -> alt.Chart: - return ( - alt.Chart(frame) - .mark_circle(size=72, opacity=0.78, stroke="white", strokeWidth=0.8) - .encode( - x=alt.X(f"{x}:Q"), - y=alt.Y(f"{y}:Q"), - color=alt.Color(f"{color}:N"), - tooltip=list(frame.columns), - ) - .properties(title=title, width=360, height=300) - ) + rows.append( + { + "implementation": implementation, + "dataset": dataset, + "dataset_label": DATASET_LABELS[dataset], + "algorithm": algorithm, + "delta": f"Δ {'==' if delta == 0 else '<='} {delta}", + "percent": percent, + } + ) + result = pd.DataFrame(rows) + result["percent_label"] = result["percent"].map(lambda value: "n/a" if pd.isna(value) else f"{value:.2f}%") + return result -def status_summary_chart(frame: pd.DataFrame, *, title: str) -> alt.Chart: - return ( - alt.Chart(frame) - .mark_bar() - .encode( - x=alt.X("count:Q", title="rows"), - y=alt.Y("status:N", sort="-x", title=None), - color=alt.Color("status:N", legend=None), - column=alt.Column("mode:N", title=None), - ) - .properties(title=title, width=180, height=180) +def faceted_table4_chart(frame: pd.DataFrame) -> Any: + base = alt.Chart(frame).encode( + x=alt.X("dataset_label:N", sort=[DATASET_LABELS[d] for d in DATASET_ORDER], title=None), + y=alt.Y("algorithm:N", sort=ALGORITHM_ORDER, title=None), ) + layered = alt.layer( + base.mark_rect(fill=TABLE_FILL, stroke="#DDDDDD"), + base.mark_text(fontSize=11).encode(text="percent_label:N"), + ).properties(width=120, height=18 * len(ALGORITHM_ORDER)) + return layered.facet( + row=alt.Row("delta:N", sort=DELTA_ORDER, title=None), + column=alt.Column("implementation:N", sort=IMPLEMENTATION_ORDER, title=None), + ).properties(title="Faceted Table 4 analog") -def show_chart(chart: alt.Chart) -> None: +def show_chart(chart: Any) -> None: buffer = StringIO() chart.save(buffer, format="svg") display(SVG(buffer.getvalue())) -def show_note(text: str) -> None: - display(Markdown(f"**What this shows:** {text}")) - - -def _share_phrase(numerator: int, denominator: int) -> str: - if denominator == 0: - return "none" - share = numerator / denominator - if share >= 0.95: - return "nearly all" - if share >= 0.8: - return "most" - if share >= 0.65: - return "a clear majority of" - if share >= 0.45: - return "about half of" - if share >= 0.2: - return "a minority of" - return "very few" - - -def summarize_haskell_reduction_ratios(frame: pd.DataFrame, *, context: str) -> str: - medians = frame.groupby("method")["ratio"].median() - eqsat = medians.get("EqSat", 0.0) - sympy = medians.get("Sympy", 0.0) - combined = medians.get("Sympy + EqSat", 0.0) - if eqsat > 0 and combined >= 0 and sympy <= 0: - return ( - f"For {context}, this is the target paper-era pattern: EqSat is helpful on its own, " - "Sympy alone is weaker or can regress, and the combined pipeline recovers much of that gap. " - "A faithful Egglog baseline should preserve that separation between the three modes." - ) - if eqsat > 0 and combined > 0 and sympy <= combined: - return ( - f"For {context}, this is the target qualitative ordering: EqSat and the combined pipeline both reduce parameters, " - "while Sympy alone is not the main source of the gain. The Egglog baseline should look similar if it is reproducing the paper behavior." - ) - return ( - f"For {context}, this chart defines the baseline shape the Egglog reproduction is aiming at: " - "the three modes should not collapse onto the same distribution if the pipeline stages are being reproduced distinctly." - ) - - -def summarize_haskell_comparison_ratios(frame: pd.DataFrame, *, context: str) -> str: - medians = frame.groupby("method")["ratio"].median() - sympy_vs_eqsat = medians.get("Sympy x EqSat", 0.0) - combined_vs_eqsat = medians.get("Sympy + EqSat x EqSat", 0.0) - if sympy_vs_eqsat > 0 and combined_vs_eqsat <= sympy_vs_eqsat: - return ( - f"For {context}, the archived baseline says EqSat is doing real extra work beyond Sympy preprocessing alone. " - "That means a faithful Egglog reproduction should still show a visible advantage for rerunning EqSat after the symbolic preprocessing stage." - ) - return ( - f"For {context}, this chart sets the baseline expectation for how much EqSat should add beyond the Sympy-derived starting point." - ) - - -def summarize_rank_target(frame: pd.DataFrame, *, context: str) -> str: - near_rank = int((frame["simpl_rank"] <= 1).sum()) - total = len(frame) - return ( - f"For {context}, the archived baseline usually lands at or very near the target rank. " - f"So the reproduction target here is not just qualitative simplification, but getting { _share_phrase(near_rank, total) } rows down to the rank target or within one." - ) - - -def summarize_runtime_baseline(frame: pd.DataFrame, *, x: str, y: str, context: str) -> str: - clean = frame[[x, y]].dropna() - correlation = clean[x].corr(clean[y]) if len(clean) > 1 else 0.0 - if correlation > 0.5: - return ( - f"For {context}, the runtime tail clearly grows with expression size. " - "This is the baseline difficulty pattern Egglog should match qualitatively even if exact runtimes differ." - ) - return ( - f"For {context}, this chart is mainly a baseline reference for where the hard cases live; larger inputs should dominate the tail." - ) - - -def summarize_egglog_reduction_vs_haskell(candidate: pd.DataFrame, baseline: pd.DataFrame, *, context: str) -> str: - candidate_medians = candidate.groupby("method")["ratio"].median() - baseline_medians = baseline.groupby("method")["ratio"].median() - candidate_spread = candidate_medians.max() - candidate_medians.min() - baseline_spread = baseline_medians.max() - baseline_medians.min() - if candidate_spread < baseline_spread * 0.5: - return ( - f"For {context}, Egglog does not preserve the method separation visible in the Haskell reference artifact. " - "The three modes collapse toward the same reduction level, which argues that Egglog is not yet reproducing the distinct effect of each pipeline stage." - ) - return ( - f"For {context}, Egglog broadly preserves the same qualitative ordering as the Haskell reference artifact, " - "which supports the hypothesis that the reproduction is close on this slice." - ) - - -def summarize_egglog_comparison_vs_haskell(candidate: pd.DataFrame, baseline: pd.DataFrame, *, context: str) -> str: - candidate_medians = candidate.groupby("method")["ratio"].median() - baseline_medians = baseline.groupby("method")["ratio"].median() - if candidate_medians.get("Sympy x EqSat", 0.0) < baseline_medians.get("Sympy x EqSat", 0.0) * 0.5: - return ( - f"For {context}, Egglog largely loses the extra gain that the Haskell reference artifact gets from rerunning EqSat after Sympy. " - "That supports the current hypothesis that the remaining gap is in how Egglog reproduces the rewrite schedule and A/C-heavy search, not in the basic parser or metric bookkeeping." - ) - return ( - f"For {context}, Egglog retains most of the Haskell-reference advantage of EqSat over the Sympy-derived inputs, " - "which supports the baseline-reproduction hypothesis for this comparison." - ) - - -def summarize_egglog_rank_vs_haskell(candidate: pd.DataFrame, baseline: pd.DataFrame, *, context: str) -> str: - candidate_near = (candidate["simpl_rank"] <= 1).sum() - baseline_near = (baseline["simpl_rank"] <= 1).sum() - if candidate_near >= baseline_near * 0.9: - return ( - f"For {context}, Egglog is close to the Haskell reference on the coarse rank target. " - "So the remaining mismatch is not that Egglog fails to simplify at all; it is that it still misses some of the exact final forms and some hard cases." - ) - return ( - f"For {context}, Egglog is still noticeably behind the Haskell reference even on the coarse rank target, " - "so the reproduction gap is visible before we look at exact expression equality." - ) - - -def summarize_egglog_runtime(frame: pd.DataFrame, *, x: str, y: str, context: str) -> str: - clean = frame[[x, y]].dropna() - correlation = clean[x].corr(clean[y]) if len(clean) > 1 else 0.0 - if correlation > 0.5: - return ( - f"For {context}, Egglog shows the same basic size-driven runtime tail as the Haskell reference. " - "That supports the idea that it is hitting the same families of hard expressions, even though some outcomes still diverge." - ) - return ( - f"For {context}, runtime does not track size as strongly as in the Haskell reference, " - "which would suggest a different failure mode." - ) - - -def summarize_match_scatter(frame: pd.DataFrame, *, context: str) -> str: - total = len(frame) - exact = int(frame["orig_param_match"].sum()) - phrase = _share_phrase(exact, total) - if exact / total >= 0.8: - return ( - f"For {context}, {phrase} sit on or very near the diagonal. " - "That supports the hypothesis that Egglog is partially reproducing the Haskell reference on final parameter counts, but not yet meeting it exactly across the whole corpus." - ) - return ( - f"For {context}, too many points miss the diagonal for us to call the baseline reproduced yet." - ) - - -def summarize_status_counts(frame: pd.DataFrame, *, context: str) -> str: - counts = frame.groupby("status")["count"].sum() - saturated = int(counts.get("saturated", 0)) - total = int(counts.sum()) - phrase = _share_phrase(saturated, total) - return ( - f"For {context}, {phrase} finish in the normal saturated path. " - "That means the current baseline is usable for comparison work, but the remaining unsaturated tail is still large enough to matter for paper-faithful reproduction." - ) - - -def _mode_label(mode: str) -> str: - return MODE_LABELS.get(mode, mode) - - -def _per_algorithm_median_deltas(frame: pd.DataFrame, simpl_col: str) -> dict[str, float]: - deltas = frame.assign(delta=frame[simpl_col] - frame["n_params"]).groupby("algorithm")["delta"].median() - return {algorithm: float(deltas.get(algorithm, float("nan"))) for algorithm in ALGORITHM_ORDER} - - -def _same_pattern(observed: dict[str, float], expected: dict[str, float]) -> bool: - return all(observed.get(algorithm) == expected.get(algorithm) for algorithm in ALGORITHM_ORDER) - - -def ablation_summary_table(candidate_rows: pd.DataFrame, live_rows: pd.DataFrame) -> pd.DataFrame: - if candidate_rows.empty: - return pd.DataFrame() - live_orig_pattern = _per_algorithm_median_deltas(live_rows, "simpl_params") - live_sympy_pattern = _per_algorithm_median_deltas(live_rows, "simpl_params_sympy") - rows: list[dict[str, object]] = [] - for mode, frame in candidate_rows.groupby("mode"): - compare = frame.merge( - live_rows[ - [ - "dataset", - "raw_index", - "algorithm", - "simpl_params", - "simpl_params_sympy", - ] - ], - on=["dataset", "raw_index", "algorithm"], - suffixes=("_egglog", "_haskell"), - ) - orig_exact = int((compare["simpl_params_egglog"] == compare["simpl_params_haskell"]).sum()) - sympy_exact = int((compare["simpl_params_sympy_egglog"] == compare["simpl_params_sympy_haskell"]).sum()) - orig_gap = int((compare["simpl_params_egglog"] - compare["simpl_params_haskell"]).abs().max()) - sympy_gap = int((compare["simpl_params_sympy_egglog"] - compare["simpl_params_sympy_haskell"]).abs().max()) - orig_median_delta = float((frame["simpl_params"] - frame["n_params"]).median()) - sympy_median_delta = float((frame["simpl_params_sympy"] - frame["n_params"]).median()) - orig_pattern_ok = _same_pattern(_per_algorithm_median_deltas(frame, "simpl_params"), live_orig_pattern) - sympy_pattern_ok = _same_pattern(_per_algorithm_median_deltas(frame, "simpl_params_sympy"), live_sympy_pattern) - orig_saturated = int((frame["orig_status"] == "saturated").sum()) - sympy_saturated = int((frame["sympy_status"] == "saturated").sum()) - accepted = ( - orig_saturated == len(frame) - and sympy_saturated == len(frame) - and orig_median_delta == -1.0 - and sympy_median_delta == -1.0 - and orig_pattern_ok - and sympy_pattern_ok - and orig_exact >= 315 - and sympy_exact >= 335 - and orig_gap <= 2 - and sympy_gap <= 1 - ) - rows.append( - { - "mode": _mode_label(str(mode)), - "orig_exact": f"{orig_exact}/{len(frame)}", - "sympy_exact": f"{sympy_exact}/{len(frame)}", - "orig_max_gap": orig_gap, - "sympy_max_gap": sympy_gap, - "orig_median_delta": orig_median_delta, - "sympy_median_delta": sympy_median_delta, - "orig_pattern_ok": orig_pattern_ok, - "sympy_pattern_ok": sympy_pattern_ok, - "orig_saturated": f"{orig_saturated}/{len(frame)}", - "sympy_saturated": f"{sympy_saturated}/{len(frame)}", - "accepted": accepted, - } - ) - return pd.DataFrame(rows) - - -def live_baseline_ablation_row(baseline_rows: pd.DataFrame, live_rows: pd.DataFrame) -> dict[str, object]: - compare = baseline_rows.merge( - live_rows[ - [ - "dataset", - "raw_index", - "algorithm", - "simpl_params", - "simpl_params_sympy", - ] - ], - on=["dataset", "raw_index", "algorithm"], - suffixes=("_egglog", "_haskell"), - ) - orig_exact = int((compare["simpl_params_egglog"] == compare["simpl_params_haskell"]).sum()) - sympy_exact = int((compare["simpl_params_sympy_egglog"] == compare["simpl_params_sympy_haskell"]).sum()) - orig_gap = int((compare["simpl_params_egglog"] - compare["simpl_params_haskell"]).abs().max()) - sympy_gap = int((compare["simpl_params_sympy_egglog"] - compare["simpl_params_sympy_haskell"]).abs().max()) - orig_median_delta = float((baseline_rows["simpl_params"] - baseline_rows["n_params"]).median()) - sympy_median_delta = float((baseline_rows["simpl_params_sympy"] - baseline_rows["n_params"]).median()) - live_orig_pattern = _per_algorithm_median_deltas(live_rows, "simpl_params") - live_sympy_pattern = _per_algorithm_median_deltas(live_rows, "simpl_params_sympy") - orig_pattern_ok = _same_pattern(_per_algorithm_median_deltas(baseline_rows, "simpl_params"), live_orig_pattern) - sympy_pattern_ok = _same_pattern( - _per_algorithm_median_deltas(baseline_rows, "simpl_params_sympy"), - live_sympy_pattern, - ) - orig_saturated = int((baseline_rows["orig_status"] == "saturated").sum()) - sympy_saturated = int((baseline_rows["sympy_status"] == "saturated").sum()) - accepted = ( - orig_saturated == len(baseline_rows) - and sympy_saturated == len(baseline_rows) - and orig_median_delta == -1.0 - and sympy_median_delta == -1.0 - and orig_pattern_ok - and sympy_pattern_ok - and orig_exact >= 315 - and sympy_exact >= 335 - and orig_gap <= 2 - and sympy_gap <= 1 - ) - return { - "mode": _mode_label("egglog-baseline"), - "evaluation_scope": "full corpus", - "orig_exact": f"{orig_exact}/{len(baseline_rows)}", - "sympy_exact": f"{sympy_exact}/{len(baseline_rows)}", - "orig_saturated": f"{orig_saturated}/{len(baseline_rows)}", - "sympy_saturated": f"{sympy_saturated}/{len(baseline_rows)}", - "orig_max_gap": orig_gap, - "sympy_max_gap": sympy_gap, - "orig_median_delta": orig_median_delta, - "sympy_median_delta": sympy_median_delta, - "orig_pattern_ok": orig_pattern_ok, - "sympy_pattern_ok": sympy_pattern_ok, - "accepted": accepted, - "note": "Retained baseline against current local Haskell.", - } - - -def refresh_baseline_row(summary: pd.DataFrame, baseline_rows: pd.DataFrame, live_rows: pd.DataFrame) -> pd.DataFrame: - baseline_row = pd.DataFrame([live_baseline_ablation_row(baseline_rows, live_rows)]) - if summary.empty: - return baseline_row - without_baseline = summary[~summary["mode"].isin(["egglog-baseline", _mode_label("egglog-baseline")])].copy() - combined = pd.concat([baseline_row, without_baseline], ignore_index=True, sort=False) - column_order = list(summary.columns) - for column in baseline_row.columns: - if column not in column_order: - column_order.append(column) - return combined.reindex(columns=column_order) - - -def summarize_ablation_results(frame: pd.DataFrame) -> str: - if frame.empty: - return "No ablation artifact is available yet, so the scheduler-ablation acceptance check could not be evaluated." - accepted = frame[frame["accepted"]] - baseline_row = frame[frame["mode"].isin(["egglog-baseline", _mode_label("egglog-baseline")])] - assert not baseline_row.empty - if len(accepted) == 1 and accepted.iloc[0]["mode"] in {"egglog-baseline", _mode_label("egglog-baseline")}: - return ( - "Only the retained baseline preserves the live-Haskell notebook conclusions. " - "That means the tested scheduler customizations still look necessary as a stack, and the next work should return to the small remaining row-level mismatch tail." - ) - accepted_modes = ", ".join(str(mode) for mode in accepted["mode"]) - return ( - "More than one mode preserves the live-Haskell notebook conclusions. " - f"The currently acceptable stack(s) are: {accepted_modes}. Prefer the simplest surviving one." - ) - - -archived_haskell = add_paper_metrics(_paper_haskell_frame(), prefix="") -live_haskell = add_paper_metrics(_live_haskell_frame(), prefix="") -egglog = add_paper_metrics(_paper_egglog_frame(), prefix="") +archived_haskell = with_implementation(add_paper_metrics(_paper_haskell_frame(ARCHIVED_HASKELL_PATH)), "Archived Haskell") +live_haskell = with_implementation(add_paper_metrics(_paper_haskell_frame(LIVE_HASKELL_PATH)), "Live Haskell") +egglog = with_implementation(add_paper_metrics(_paper_egglog_frame(EGGLOG_PATH)), "Egglog") runtime_rows = _paper_runtime_frame() -haskell = archived_haskell +combined = pd.concat([archived_haskell, live_haskell, egglog], ignore_index=True) -egglog_baseline = egglog[egglog["mode"] == "egglog-baseline"].copy() -haskell_box_methods = { +haskell_columns = { "EqSat": "orig_x_egg", "Sympy": "orig_x_sympy", "Sympy + EqSat": "orig_x_sympyegg", } -comparison_methods = { +comparison_columns = { "Sympy x EqSat": "sympy_x_egg", "Sympy + EqSat x EqSat": "sympyegg_x_egg", } -haskell_table4 = comparison_table(archived_haskell, implementation="Archived Haskell") -egglog_table4 = pd.concat( - [ - comparison_table(egglog_baseline, implementation="Egglog baseline"), - ], - ignore_index=True, -) - -baseline_compare = egglog_baseline.merge( +egglog_vs_live = egglog.merge( live_haskell[ [ "dataset", - "raw_index", "algorithm", + "raw_index", "simpl_params", "simpl_params_sympy", - "orig_params", - "orig_params_sympy", ] ], - on=["dataset", "raw_index", "algorithm"], - suffixes=("_egglog", "_haskell"), -) -baseline_compare["orig_param_match"] = ( - baseline_compare["simpl_params_egglog"] == baseline_compare["simpl_params_haskell"] -) -baseline_compare["sympy_param_match"] = ( - baseline_compare["simpl_params_sympy_egglog"] == baseline_compare["simpl_params_sympy_haskell"] -) - -baseline_compare["orig_abs_gap"] = ( - baseline_compare["simpl_params_egglog"] - baseline_compare["simpl_params_haskell"] + on=["dataset", "algorithm", "raw_index"], + suffixes=("_egglog", "_live"), +) +egglog_vs_live["orig_exact"] = egglog_vs_live["simpl_params_egglog"] == egglog_vs_live["simpl_params_live"] +egglog_vs_live["sympy_exact"] = egglog_vs_live["simpl_params_sympy_egglog"] == egglog_vs_live["simpl_params_sympy_live"] +egglog_vs_live["orig_gap"] = (egglog_vs_live["simpl_params_egglog"] - egglog_vs_live["simpl_params_live"]).abs() +egglog_vs_live["sympy_gap"] = ( + egglog_vs_live["simpl_params_sympy_egglog"] - egglog_vs_live["simpl_params_sympy_live"] ).abs() -status_rows = egglog_baseline.assign(status=egglog_baseline["orig_status"], mode_label="Egglog baseline")[ - ["status", "mode_label"] -].rename(columns={"mode_label": "mode"}) archive_drift = live_haskell.merge( archived_haskell[ [ "dataset", - "raw_index", "algorithm", + "raw_index", "simpl_params", "simpl_params_sympy", ] ], - on=["dataset", "raw_index", "algorithm"], + on=["dataset", "algorithm", "raw_index"], suffixes=("_live", "_archived"), ) -archive_drift["orig_param_drift"] = archive_drift["simpl_params_live"] - archive_drift["simpl_params_archived"] -archive_drift["sympy_param_drift"] = ( - archive_drift["simpl_params_sympy_live"] - archive_drift["simpl_params_sympy_archived"] -) +archive_drift["orig_drift"] = archive_drift["simpl_params_live"] - archive_drift["simpl_params_archived"] +archive_drift["sympy_drift"] = archive_drift["simpl_params_sympy_live"] - archive_drift["simpl_params_sympy_archived"] + live_fallback_rows = live_haskell[live_haskell["baseline_source"] != "live_haskell"][ ["dataset", "algorithm", "algo_row", "baseline_source", "orig_live_status", "sympy_live_status"] ].drop_duplicates() -if ABLATION_SUMMARY_PATH.exists(): - ablation_summary = _ablation_summary_frame() -else: - egglog_ablations = ( - add_paper_metrics(_paper_egglog_frame(EGGLOG_ABLATION_PATH), prefix="") if EGGLOG_ABLATION_PATH.exists() else pd.DataFrame() - ) - ablation_summary = ablation_summary_table(egglog_ablations, live_haskell) -ablation_summary = refresh_baseline_row(ablation_summary, egglog_baseline, live_haskell) -# - - -# ## 1. Provenance -# -# This notebook uses two Haskell-side baselines: -# - the archived paper outputs, which define the published target figures -# - a fresh full-corpus artifact generated by running the current local -# `param-eq-haskell` checkout on the same retained rows -# -# The normalized artifacts already include the paper cleanup from the original -# notebook: -# - drop `FEAT` -# - rename `SRjl -> PySR` -# - rename `GOMEA -> GP-GOMEA` -# - drop rows `16, 162` for Pagie -# - drop row `1` for Kotanchek -# - drop rows with missing rank data - -# + -summary = [ - f"- Paper rows available after cleanup: `{len(haskell)}`", - f"- Pagie rows after cleanup: `{int((haskell['dataset'] == 'pagie').sum())}`", - f"- Kotanchek rows after cleanup: `{int((haskell['dataset'] == 'kotanchek').sum())}`", - f"- Pagie runtime scatter rows: `{len(runtime_rows)}`", - f"- Live Haskell corpus rows available: `{len(live_haskell)}`", - f"- Scheduler ablation summary rows available: `{len(ablation_summary)}`", -] -display(Markdown("## Artifact Overview\n\n" + "\n".join(summary))) -# - - -# ## 2. Recreating the Haskell Paper Figures -# -# The next figures use exactly the same formulas as the archived Haskell -# plotting notebook. - -# + -show_chart( - boxplot_chart( - melt_methods(haskell[haskell["dataset"] == "pagie"], columns=haskell_box_methods, value_name="ratio"), - y="ratio", - title="Figure 3 analog: Pagie reduction ratios from archived Haskell results", - ) -) -show_note( - summarize_haskell_reduction_ratios( - melt_methods(haskell[haskell["dataset"] == "pagie"], columns=haskell_box_methods, value_name="ratio"), - context="the archived Haskell Pagie rows", - ) -) -# - - -# + -show_chart( - boxplot_chart( - melt_methods(haskell[haskell["dataset"] == "pagie"], columns=comparison_methods, value_name="ratio"), - y="ratio", - title="Figure 4 analog: Pagie EqSat vs Sympy comparisons from archived Haskell results", - ) -) -show_note( - summarize_haskell_comparison_ratios( - melt_methods(haskell[haskell["dataset"] == "pagie"], columns=comparison_methods, value_name="ratio"), - context="the archived Haskell Pagie comparisons", - ) -) -# - - -# + -show_chart( - boxplot_chart( - melt_methods(haskell[haskell["dataset"] == "kotanchek"], columns=haskell_box_methods, value_name="ratio"), - y="ratio", - title="Figure 5 analog: Kotanchek reduction ratios from archived Haskell results", - ) -) -show_note( - summarize_haskell_reduction_ratios( - melt_methods(haskell[haskell["dataset"] == "kotanchek"], columns=haskell_box_methods, value_name="ratio"), - context="the archived Haskell Kotanchek rows", - ) -) -# - -# + -show_chart( - boxplot_chart( - melt_methods(haskell[haskell["dataset"] == "kotanchek"], columns=comparison_methods, value_name="ratio"), - y="ratio", - title="Figure 6 analog: Kotanchek EqSat vs Sympy comparisons from archived Haskell results", - ) -) -show_note( - summarize_haskell_comparison_ratios( - melt_methods(haskell[haskell["dataset"] == "kotanchek"], columns=comparison_methods, value_name="ratio"), - context="the archived Haskell Kotanchek comparisons", - ) -) -# - - -# + -show_chart(rank_boxplot(haskell, title="Figure 7 analog: archived Haskell simplified params minus rank")) -show_note(summarize_rank_target(haskell, context="the archived Haskell runs")) -# - +runtime_compare = runtime_rows[["implementation", "node_count", "runtime_ms"]].copy() -# + -show_chart( - runtime_scatter( - runtime_rows.assign(source="Archived Haskell"), - x="node_count", - y="runtime_ms", - color="source", - title="Figure 9 analog: archived Haskell runtime vs number of nodes", - ) -) -show_note( - summarize_runtime_baseline( - runtime_rows.assign(source="Archived Haskell"), - x="node_count", - y="runtime_ms", - context="the archived Haskell runtime rows", - ) +table4_source = pd.concat( + [ + comparison_table(archived_haskell, implementation="Archived Haskell"), + comparison_table(live_haskell, implementation="Live Haskell"), + comparison_table(egglog, implementation="Egglog"), + ], + ignore_index=True, ) -# - -# + -display(Markdown("### Table 4 analog from archived Haskell results")) -display(table4_wide(haskell_table4, ["dataset", "algorithm"]).round(2)) # - -# + -display( - Markdown( - "### Figure 8 status\n\n" - "The provided archives do not include the bulk Feynman/Operon result table " - "needed to reproduce Figure 8 exactly, so this notebook marks that figure " - "as unavailable rather than fabricating an approximation." - ) -) -# - +# ## 1. Artifact Overview -# ## 3. Drift Between Published And Current Local Haskell -# -# Before comparing Egglog to Haskell, it is useful to separate true Egglog -# mismatches from drift between the published archived rows and the current -# local `param-eq-haskell` implementation. - -# + -archive_drift_summary = pd.DataFrame( +artifact_summary = pd.DataFrame( [ { - "comparison": "original expressions", - "exact_param_matches": int((archive_drift["orig_param_drift"] == 0).sum()), - "total_rows": len(archive_drift), - "nonzero_drift_rows": int((archive_drift["orig_param_drift"] != 0).sum()), + "implementation": "Archived Haskell", + "rows": len(archived_haskell), + "original_median_simpl_rank": float(archived_haskell["simpl_rank"].median()), + "sympy_median_simpl_rank": float(archived_haskell["sympy_rank"].median()), + }, + { + "implementation": "Live Haskell", + "rows": len(live_haskell), + "original_median_simpl_rank": float(live_haskell["simpl_rank"].median()), + "sympy_median_simpl_rank": float(live_haskell["sympy_rank"].median()), }, { - "comparison": "sympy expressions", - "exact_param_matches": int((archive_drift["sympy_param_drift"] == 0).sum()), - "total_rows": len(archive_drift), - "nonzero_drift_rows": int((archive_drift["sympy_param_drift"] != 0).sum()), + "implementation": "Egglog", + "rows": len(egglog), + "original_median_simpl_rank": float(egglog["simpl_rank"].median()), + "sympy_median_simpl_rank": float(egglog["sympy_rank"].median()), }, ] ) -display(Markdown("### Published archived rows vs current local Haskell")) -display(archive_drift_summary) -# - - -# + -archive_drift_top = archive_drift.assign(abs_orig_drift=archive_drift["orig_param_drift"].abs())[ - [ - "dataset", - "algorithm", - "algo_row", - "orig_param_drift", - "sympy_param_drift", - "simpl_params_live", - "simpl_params_archived", - "simpl_params_sympy_live", - "simpl_params_sympy_archived", - ] -].sort_values(["orig_param_drift"], key=lambda s: s.abs(), ascending=False) -display(Markdown("### Largest published-vs-live Haskell drifts")) -display(archive_drift_top.head(12)) -display(Markdown("### Live-Haskell fallback rows")) -display(live_fallback_rows if not live_fallback_rows.empty else pd.DataFrame([{"status": "none"}])) -show_note( - ( - f"The published and current local Haskell results already drift on " - f"`{int((archive_drift['orig_param_drift'] != 0).sum())}` of `{len(archive_drift)}` original rows " - f"and `{int((archive_drift['sympy_param_drift'] != 0).sum())}` of `{len(archive_drift)}` sympy rows. " - f"The live artifact currently carries `{len(live_fallback_rows)}` archived fallback rows because those current local Haskell reruns still overflow their stack budget. " - "So Egglog should now be judged primarily against the live Haskell artifact, while the archived rows remain important as the published-paper reference and as fallback for the pathological live rows." +display(artifact_summary) +display( + pd.DataFrame( + [ + { + "comparison": "Egglog vs live Haskell (original)", + "exact_matches": int(egglog_vs_live["orig_exact"].sum()), + "total_rows": len(egglog_vs_live), + "max_gap": int(egglog_vs_live["orig_gap"].max()), + }, + { + "comparison": "Egglog vs live Haskell (sympy)", + "exact_matches": int(egglog_vs_live["sympy_exact"].sum()), + "total_rows": len(egglog_vs_live), + "max_gap": int(egglog_vs_live["sympy_gap"].max()), + }, + { + "comparison": "Live vs archived Haskell (original)", + "exact_matches": int((archive_drift["orig_drift"] == 0).sum()), + "total_rows": len(archive_drift), + "max_gap": int(archive_drift["orig_drift"].abs().max()), + }, + { + "comparison": "Live vs archived Haskell (sympy)", + "exact_matches": int((archive_drift["sympy_drift"] == 0).sum()), + "total_rows": len(archive_drift), + "max_gap": int(archive_drift["sympy_drift"].abs().max()), + }, + ] ) ) # - -# ## 4. Egglog Translation of the Older Hegg-Era Pipeline +# The retained question is no longer whether Egglog finishes the corpus; it does. # -# The Egglog runner uses the archived experiment harness as the baseline: -# - the older expression language from the paper-era code -# - the paper-era extraction cost model -# - the `FixTree.hs` rewrite loop and backoff scheduler +# The useful question is whether the three result sets support the same practical +# thesis. After correcting the live Haskell rerun to follow the checked-in +# Haskell Sympy modules directly, archived and live Haskell are much closer than +# they first appeared. The rest of this notebook therefore compares archived +# Haskell, live Haskell, and Egglog with the same plots and the same table +# layouts. -# + -baseline_summary = [ - f"- Egglog baseline original-input status counts: `{egglog_baseline['orig_status'].value_counts().to_dict()}`", - f"- Egglog baseline sympy-input status counts: `{egglog_baseline['sympy_status'].value_counts().to_dict()}`", -] -display(Markdown("## Egglog Run Overview\n\n" + "\n".join(baseline_summary))) -# - - -# ## 5. Current Local Haskell vs Egglog Comparison -# -# The next figures compare Egglog to the current local Haskell corpus artifact. -# For the Egglog charts, "Sympy" means the archived Sympy output re-counted by -# the Egglog parser, and "Sympy + EqSat" means running the Egglog EqSat -# translation on the archived Sympy expression. +# ## 2. Reduction Ratios # + show_chart( - boxplot_chart( - melt_methods( - egglog_baseline[egglog_baseline["dataset"] == "pagie"], columns=haskell_box_methods, value_name="ratio" - ), + faceted_boxplot( + melt_methods(combined[combined["dataset"] == "pagie"], columns=haskell_columns, value_name="ratio"), y="ratio", - title="Egglog baseline analog of Figure 3 (Pagie)", - ) -) -show_note( - summarize_egglog_reduction_vs_haskell( - melt_methods(egglog_baseline[egglog_baseline["dataset"] == "pagie"], columns=haskell_box_methods, value_name="ratio"), - melt_methods(live_haskell[live_haskell["dataset"] == "pagie"], columns=haskell_box_methods, value_name="ratio"), - context="the Egglog baseline Pagie rows against current local Haskell", + method_sort=METHOD_ORDER, + title="Pagie reduction ratios across archived Haskell, live Haskell, and Egglog", ) ) # - +# Across the Pagie rows, all three implementations preserve the same qualitative +# story: EqSat helps on its own, Sympy alone is not the main source of the gain, +# and the combined pipeline remains the strongest or near-strongest path. The +# archived and live Haskell views are now close enough that the archive reads as +# a slightly stale version of the same picture rather than a conflicting one, +# and Egglog tracks that shared picture closely enough to support the same +# conclusion. + # + show_chart( - boxplot_chart( - melt_methods( - egglog_baseline[egglog_baseline["dataset"] == "pagie"], columns=comparison_methods, value_name="ratio" - ), + faceted_boxplot( + melt_methods(combined[combined["dataset"] == "kotanchek"], columns=haskell_columns, value_name="ratio"), y="ratio", - title="Egglog baseline analog of Figure 4 (Pagie)", - ) -) -show_note( - summarize_egglog_comparison_vs_haskell( - melt_methods(egglog_baseline[egglog_baseline["dataset"] == "pagie"], columns=comparison_methods, value_name="ratio"), - melt_methods(live_haskell[live_haskell["dataset"] == "pagie"], columns=comparison_methods, value_name="ratio"), - context="the Egglog baseline Pagie comparisons against current local Haskell", + method_sort=METHOD_ORDER, + title="Kotanchek reduction ratios across archived Haskell, live Haskell, and Egglog", ) ) # - +# Kotanchek tells the same story. The per-algorithm spread changes a little +# between the archived artifact and the live rerun, but the headline result does +# not: EqSat is still the meaningful simplification step, and Egglog lands in +# the same visual regime as both Haskell baselines. + +# ## 3. EqSat Versus Sympy Comparisons + # + show_chart( - boxplot_chart( - melt_methods( - egglog_baseline[egglog_baseline["dataset"] == "kotanchek"], columns=haskell_box_methods, value_name="ratio" - ), + faceted_boxplot( + melt_methods(combined[combined["dataset"] == "pagie"], columns=comparison_columns, value_name="ratio"), y="ratio", - title="Egglog baseline analog of Figure 5 (Kotanchek)", - ) -) -show_note( - summarize_egglog_reduction_vs_haskell( - melt_methods(egglog_baseline[egglog_baseline["dataset"] == "kotanchek"], columns=haskell_box_methods, value_name="ratio"), - melt_methods(live_haskell[live_haskell["dataset"] == "kotanchek"], columns=haskell_box_methods, value_name="ratio"), - context="the Egglog baseline Kotanchek rows against current local Haskell", + method_sort=COMPARISON_ORDER, + title="Pagie EqSat-vs-Sympy comparison ratios across all three implementations", ) ) # - +# These comparison ratios make the thesis more explicit: rerunning EqSat after +# the Sympy-derived starting point still matters in all three result sets. The +# archive, the live rerun, and Egglog all agree that the simplification is not +# coming only from the symbolic preprocessing step. + # + show_chart( - boxplot_chart( - melt_methods( - egglog_baseline[egglog_baseline["dataset"] == "kotanchek"], columns=comparison_methods, value_name="ratio" - ), + faceted_boxplot( + melt_methods(combined[combined["dataset"] == "kotanchek"], columns=comparison_columns, value_name="ratio"), y="ratio", - title="Egglog baseline analog of Figure 6 (Kotanchek)", - ) -) -show_note( - summarize_egglog_comparison_vs_haskell( - melt_methods(egglog_baseline[egglog_baseline["dataset"] == "kotanchek"], columns=comparison_methods, value_name="ratio"), - melt_methods(live_haskell[live_haskell["dataset"] == "kotanchek"], columns=comparison_methods, value_name="ratio"), - context="the Egglog baseline Kotanchek comparisons against current local Haskell", + method_sort=COMPARISON_ORDER, + title="Kotanchek EqSat-vs-Sympy comparison ratios across all three implementations", ) ) # - -# + -show_chart(rank_boxplot(egglog_baseline, title="Egglog baseline analog of Figure 7")) -show_note( - summarize_egglog_rank_vs_haskell( - egglog_baseline, - live_haskell, - context="the Egglog baseline runs against current local Haskell", - ) -) -# - +# The Kotanchek comparison view reaches the same conclusion. Even where archive +# drift is visible, it is now a narrow tail instead of a broad Sympy split, and +# the three implementations still agree on the sign and rough scale of the +# EqSat contribution. That is the notebook's central evidence that the retained +# Egglog baseline is good enough to count as hitting the paper baseline in +# practice. -# + -show_chart( - runtime_scatter( - egglog_baseline[egglog_baseline["dataset"] == "pagie"].assign(source="Egglog baseline"), - x="orig_nodes", - y="orig_runtime_ms", - color="source", - title="Egglog baseline analog of Figure 9 (Pagie original expressions)", - ) -) -show_note( - summarize_egglog_runtime( - egglog_baseline[egglog_baseline["dataset"] == "pagie"].assign(source="Egglog baseline"), - x="orig_nodes", - y="orig_runtime_ms", - context="the Egglog baseline Pagie originals", - ) -) -# - +# ## 4. Rank Target And Runtime Shape # + -display(Markdown("### Table 4 analogs for Egglog")) -display(table4_wide(egglog_table4, ["implementation", "dataset", "algorithm"]).round(2)) +show_chart(rank_boxplot(combined, title="Simplified parameters minus rank across all three implementations")) # - -# + -exact_match_rows = pd.DataFrame([ - { - "mode": "Egglog baseline", - "input": "original expressions", - "exact_param_matches": int(baseline_compare["orig_param_match"].sum()), - "total_rows": len(baseline_compare), - }, - { - "mode": "Egglog baseline", - "input": "sympy expressions", - "exact_param_matches": int(baseline_compare["sympy_param_match"].sum()), - "total_rows": len(baseline_compare), - }, -]) -display(Markdown("### Exact-match counts against current local Haskell parameter totals")) -display(exact_match_rows) -# - +# All three implementations keep the simplified expressions clustered near the +# paper rank target. This is the most direct coarse-grained thesis check: the +# live rerun and the Egglog replication lead to the same qualitative conclusion +# as the archived paper outputs about how often the target rank is met or nearly +# met. # + -baseline_orig_scatter = baseline_compare[baseline_compare["orig_status"] == "saturated"].copy() -baseline_orig_scatter["match"] = baseline_orig_scatter["orig_param_match"].map({True: "exact match", False: "mismatch"}) -show_chart( - alt.Chart(baseline_orig_scatter) - .mark_circle(size=78, opacity=0.82, stroke="white", strokeWidth=0.85) - .encode( - x=alt.X("simpl_params_haskell:Q", title="Current local Haskell final params"), - y=alt.Y("simpl_params_egglog:Q", title="Egglog baseline final params"), - color=alt.Color( - "match:N", - title=None, - scale=alt.Scale(domain=["exact match", "mismatch"], range=[POINT_COLOR, MISMATCH_COLOR]), - ), - tooltip=["dataset", "algorithm", "algo_row", "simpl_params_haskell", "simpl_params_egglog", "orig_rendered"], - ) - .properties(title="Egglog baseline vs current local Haskell final parameter counts", width=360, height=320) -) -show_note(summarize_match_scatter(baseline_orig_scatter, context="saturated original-expression rows")) +show_chart(runtime_chart(runtime_compare, title="Pagie runtime versus expression size (Figure 9 analog) across archived Haskell, live Haskell, and Egglog")) # - -# + -baseline_summary_frame = pd.DataFrame([ - { - "mode": "Egglog baseline", - "orig_non_saturated_rows": int((egglog_baseline["orig_status"] != "saturated").sum()), - "sympy_non_saturated_rows": int((egglog_baseline["sympy_status"] != "saturated").sum()), - "median_orig_runtime_ms": float(egglog_baseline["orig_runtime_ms"].median()), - "median_sympy_runtime_ms": float(egglog_baseline["sympy_runtime_ms"].median()), - }, -]) -display(Markdown("### Egglog baseline summary")) -display(baseline_summary_frame.round(2)) -# - +# This faceted Figure 9 analog is now closer to the archived benchmark setup: +# all three facets are built from the broader Pagie original-expression sweep, +# and the x-axis is the input expression node count rather than e-graph size. +# +# With that apples-to-apples population, live Haskell and Egglog now occupy a +# much more similar node-count range to the archived Haskell plot. The main +# remaining difference is the runtime tail: Egglog still has noticeably slower +# cases at comparable input sizes, which points more toward rewrite-search and +# implementation overhead than toward a simple “Egglog starts from larger input +# trees” explanation. + +# ## 5. Faceted Table 4 Analog # + -show_chart( - status_summary_chart( - status_rows.groupby(["mode", "status"]).size().reset_index(name="count"), - title="Egglog original-input statuses by mode", - ) -) -show_note( - summarize_status_counts( - status_rows.groupby(["mode", "status"]).size().reset_index(name="count"), - context="Egglog original-input runs", - ) -) +show_chart(faceted_table4_chart(table4_source)) # - +# The faceted Table 4 analog says the same thing as the boxplots in a paper-style +# summary format. Archived Haskell, live Haskell, and Egglog differ row by row, +# but they preserve the same practical ordering of algorithms and the same +# overall conclusion about how often EqSat reaches the target rank or stays +# within one extra parameter. The biggest archived-versus-live shifts are now +# concentrated in a small Pagie Bingo and Pagie EPLEX tail rather than spread +# across the whole table. + +# ## 6. Archive Drift + # + display( - Markdown( - "\n".join([ - "## Comparison Summary", - "", - f"- Egglog baseline exactly matches current local Haskell final parameter counts on `{int(baseline_compare['orig_param_match'].sum())}` of `{len(baseline_compare)}` original-expression rows.", - f"- Egglog baseline exactly matches current local Haskell `Sympy + EqSat` parameter counts on `{int(baseline_compare['sympy_param_match'].sum())}` of `{len(baseline_compare)}` sympy-expression rows.", - f"- Egglog baseline original-input timeouts or failures occur on `{int((egglog_baseline['orig_status'] != 'saturated').sum())}` of `{len(egglog_baseline)}` paper rows.", - f"- Egglog baseline sympy-input timeouts or failures occur on `{int((egglog_baseline['sympy_status'] != 'saturated').sum())}` of `{len(egglog_baseline)}` paper rows.", - ]) - ) + archive_drift[ + [ + "dataset", + "algorithm", + "algo_row", + "orig_drift", + "sympy_drift", + "simpl_params_live", + "simpl_params_archived", + "simpl_params_sympy_live", + "simpl_params_sympy_archived", + ] + ] + .sort_values(["orig_drift", "sympy_drift"], key=lambda column: column.abs(), ascending=False) + .head(12) ) # - -# ## 6. Scheduler Ablation -# -# These rows remove one scheduler customization at a time while keeping the -# Haskell rewrite set and explicit analysis structure fixed. +# Archive drift is real, but after correcting the live rerun to use the actual +# checked-in Haskell Sympy modules it is much smaller than the earlier draft of +# this notebook suggested. The remaining drift is a short tail, mostly in Pagie +# Bingo and Pagie EPLEX Sympy rows plus a few EPLEX rows on Kotanchek. That is +# enough to justify reporting the live rerun separately, but not enough to +# overturn the main thesis of the paper figures: the archived artifact and the +# live rerun still support the same qualitative story, and Egglog remains close +# enough to the live rerun to support that same story too. + +# ### Live-Haskell fallback rows # + -display(Markdown("### Scheduler ablation acceptance table")) -if ablation_summary.empty: - display(pd.DataFrame([{"status": "no ablation artifact available"}])) -else: - display(ablation_summary) -show_note(summarize_ablation_results(ablation_summary)) +display(live_fallback_rows if not live_fallback_rows.empty else pd.DataFrame([{"status": "none"}])) # - -# ## 7. Current Limitations -# -# The statements below are derived from the loaded artifacts, using current -# local Haskell as the primary comparison target and the archived paper rows as -# the published-reference target. +# ## 7. Conclusion -# + -orig_mismatches = baseline_compare[~baseline_compare["orig_param_match"]].copy() -sympy_mismatches = baseline_compare[~baseline_compare["sympy_param_match"]].copy() -orig_by_algorithm = orig_mismatches.groupby(["dataset", "algorithm"]).size().sort_values(ascending=False) -sympy_by_algorithm = sympy_mismatches.groupby(["dataset", "algorithm"]).size().sort_values(ascending=False) -orig_max_gap = float(baseline_compare["orig_abs_gap"].max()) -sympy_max_gap = float( - ( - baseline_compare["simpl_params_sympy_egglog"] - baseline_compare["simpl_params_sympy_haskell"] - ) - .abs() - .max() -) -archive_orig_drift = int((archive_drift["orig_param_drift"] != 0).sum()) -archive_sympy_drift = int((archive_drift["sympy_param_drift"] != 0).sum()) -accepted_ablation_modes = ( - ", ".join(ablation_summary.loc[ablation_summary["accepted"], "mode"].tolist()) if not ablation_summary.empty else "unavailable" -) - -conclusion_lines = [ - f"- The Egglog baseline now saturates on all `{len(egglog_baseline)}` retained paper rows for both original and sympy inputs.", - f"- Against the current local Haskell artifact, Egglog exactly matches final parameter counts on `{int(baseline_compare['orig_param_match'].sum())}` of `{len(baseline_compare)}` original rows and `{int(baseline_compare['sympy_param_match'].sum())}` of `{len(baseline_compare)}` sympy rows.", - f"- The live Haskell artifact currently includes `{len(live_fallback_rows)}` archived fallback rows for cases that still overflow the current local Haskell stack budget.", - f"- The remaining original-input gaps are small: the largest current live-Haskell gap is `{orig_max_gap:.0f}` parameters.", - f"- The remaining sympy-input gaps are also small: the largest current live-Haskell gap is `{sympy_max_gap:.0f}` parameter.", - f"- The published archived rows drift from current local Haskell on `{archive_orig_drift}` original rows and `{archive_sympy_drift}` sympy rows, so not every paper-row mismatch should be treated as an Egglog bug.", - f"- Original-input live mismatches are currently concentrated in `{', '.join(f'{dataset} {alg} ({count})' for (dataset, alg), count in orig_by_algorithm.head(6).items()) or 'none'}`.", - f"- Sympy-input live mismatches are currently concentrated in `{', '.join(f'{dataset} {alg} ({count})' for (dataset, alg), count in sympy_by_algorithm.head(6).items()) or 'none'}`.", - f"- Scheduler ablation modes that still preserve the current notebook-level live-Haskell conclusions: `{accepted_ablation_modes}`.", - "", - "The practical next step is now narrower than before:", - "- if only the retained baseline survives the ablation gate, keep the current scheduler stack and return to the small live-mismatch tail", - "- if a simpler ablation survives, prefer that simpler stack and then regenerate the live comparison notebook from it", - "- either way, classify the two live-Haskell fallback rows separately from true Egglog mismatches", -] -display(Markdown("## Conclusion\n\n" + "\n".join(conclusion_lines))) -# - +# Archived Haskell, live Haskell, and Egglog all support the same qualitative +# paper conclusion on the retained param-eq metrics. +# +# The remaining Egglog-versus-live differences are a small row-level tail rather +# than a broad failure mode, and the archived-versus-live Haskell differences +# are now modest enough to read as archive drift rather than a contradictory +# result set. +# +# Taken together, these plots support the retained thesis: the Egglog baseline +# behaves close enough to both Haskell baselines that it reproduces the paper's +# practical conclusions, while the remaining archive drift is a caveat that +# sharpens interpretation rather than evidence of a replication failure. def _write_executed_notebook() -> None: diff --git a/python/egglog/exp/param_eq/replication_status.md b/python/egglog/exp/param_eq/replication_status.md deleted file mode 100644 index 3a1bba5d..00000000 --- a/python/egglog/exp/param_eq/replication_status.md +++ /dev/null @@ -1,598 +0,0 @@ -# Param-Eq Replication Status - -This file is the hypothesis and experiment ledger for the retained `param_eq` -baseline. - -It is intentionally not the place for corpus-level plots or current summary -numbers. For those, use the comparison notebook: - -- [replication.py](replication.py) -- [replication.ipynb](replication.ipynb) - -In particular, any statement here about whether Egglog is or is not meeting the -archived Haskell baseline should be read together with the notebook sections: - -- `## 5. Current Local Haskell vs Egglog Comparison` -- `## 6. Scheduler Ablation` -- `## 7. Current Limitations` - -## Source Of Truth - -- Haskell implementation being mirrored: - - `../param-eq-haskell/src/FixTree.hs` - - `../param-eq-haskell/src/Main.hs` -- Egglog translation: - - [pipeline.py](pipeline.py) -- Haskell-backed reduced canaries: - - [haskell_golden.json](haskell_golden.json) - - [generate_haskell_golden.py](generate_haskell_golden.py) -- Corpus-level artifact generation: - - [normalize_archives.py](normalize_archives.py) - - [run_egglog_corpus.py](run_egglog_corpus.py) - -## Current Overall Read - -The current worktree baseline is a partial reproduction, not full parity. - -That claim is supported by the corpus-level notebook results in -[replication.py](replication.py): - -- the current direct Haskell-shaped baseline now saturates all retained rows on - both original and Sympy inputs -- against the **current local Haskell** artifact, Egglog now matches final - parameter counts on: - - `318 / 341` original rows - - `336 / 341` Sympy rows -- the remaining live Egglog-vs-Haskell gaps are small: - - largest original-input gap: `2` - - largest Sympy-input gap: `1` -- the larger apparent Sympy gap in the older notebook view was mostly - published-archive drift, not a current Egglog-vs-Haskell mismatch - -So the right current claim is: - -- Egglog is now very close to the current local Haskell baseline on the paper's - parameter-count metric. -- Egglog is still not at full parity, but the remaining live mismatches are now - a small tail rather than a broad failure mode. -- The scheduler-ablation results now suggest the retained scheduler stack is - still necessary as a whole if we want to preserve the current all-row - saturation and notebook-level conclusions. - -One important refinement to that statement: - -- some of the remaining notebook mismatches are now clearly **paper-archive - drift**, not current Egglog-vs-Haskell drift -- for example, `kotanchek:EPLEX#4` is still an archived-paper mismatch in the - notebook, but the live Haskell `simplifyE` result now reaches the same - 8-parameter form as Egglog -- the next probes should therefore prioritize rows where Egglog still differs - from the **current local Haskell implementation**, not only from the archived - CSVs -- the live Haskell artifact itself currently includes `2` archived fallback - rows because current local Haskell still overflows its stack budget on: - - `pagie SRjl#18` - - `kotanchek Bingo#21` - -## Accepted Baseline - -The accepted Python baseline in [pipeline.py](pipeline.py) is: - -- outer pass cap `2` -- inner rewrite cap `30` -- full Haskell rewrite set `rewritesBasic <> rewritesFun` -- one bound fresh-rematch scheduler reused across all inner iterations of one - pass -- one saturated analysis round after each rewrite round -- stop on whole-pass e-graph size stability, which is the closest current - analogue to Haskell's rebuild-size check - -This is now the retained default, not only an experiment. - -Why it stays accepted: - -- it is the closest high-level reproduction of Haskell we can currently express - in Python on top of Egglog -- it fixes the earlier `pagie_operon_15` schedule-boundary miss on the paper - metric -- the ablation pass did not produce a simpler stack that preserved both the - live-Haskell medians and the all-row saturation story -- the refreshed notebook results in [replication.py](replication.py) are based - on this baseline - -There is now also a local full-state trace harness: - -- [trace_egglog.py](trace_egglog.py) -- [trace_haskell.py](trace_haskell.py) -- [trace_tables.py](trace_tables.py) -- [compare_trace.py](compare_trace.py) - -Those tools write ignored per-step JSON snapshots under `trace//` and -are the source of truth for the state-level trace claims below. - -## Latest Probe - -Question: - -- after switching the notebook to the live-Haskell baseline, can any of the - scheduler customizations be removed without changing the notebook-level - conclusions? - -Probe commands: - -- use `pagie Operon#15` original plus the remaining `pagie GOMEA#17/#18/#28` - live mismatches as the first targeted screen -- reject an ablation immediately if it times out or clearly regresses those - rows -- only run broader aggregate checks for the ablations that survive the targeted - screen -- summarize each ablation against the live-Haskell acceptance bar: - - exact-match counts - - saturation totals - - max gaps - - overall medians - - per-algorithm median pattern - -Observed result: - -- retained baseline: - - `318 / 341` original exact matches - - `336 / 341` Sympy exact matches - - `341 / 341` saturation on both inputs -- `no-haskell-backoff`: - - rejected immediately - - timed out on `pagie Operon#15` original while the retained baseline still - saturated that row in about `11.7s` -- `no-bound-scheduler`: - - kept the same medians and per-algorithm pattern - - `315 / 341` original exact matches - - `336 / 341` Sympy exact matches - - lost full original-input saturation by timing out on: - - `pagie EPLEX#25` - - `pagie SRjl#1` -- `no-fresh-rematch`: - - kept the same medians and per-algorithm pattern - - `317 / 341` original exact matches - - `336 / 341` Sympy exact matches - - lost full original-input saturation by timing out on: - - `pagie SRjl#20` - - `kotanchek Operon#21` -- `no-graph-size-stop`: - - matched the targeted `pagie Operon#15` and `pagie GOMEA#17/#18/#28` - parameter counts - - but slowed `pagie Operon#15` from about `11.7s` to about `57.3s` - - was not promoted as a simpler retained stack in this pass - -Interpretation update: - -- the best current read is: - - no major live-Haskell-vs-Egglog result gap remains - - archive drift is now a larger interpretive issue than broad Egglog - divergence - - the current scheduler customizations still look necessary as a stack: - - Haskell-style backoff is required for hard cases - - persistent scheduler state is still required for all-row saturation - - fresh rematching is still required for all-row saturation - - the next work should return to the small remaining live mismatch tail and - the two live-Haskell fallback rows, not reopen broad schedule tuning - -Next probe: - -- start with the remaining true live gaps rather than more global schedule - work: - - `pagie GOMEA#17` - - `pagie GOMEA#18` - - `pagie GOMEA#28` -- classify the two live-Haskell fallback rows separately from real Egglog - mismatches: - - `pagie SRjl#18` - - `kotanchek Bingo#21` - -### Follow-up probe: retire `kotanchek:EPLEX#4` and move to a live Haskell mismatch - -Question: - -- is `kotanchek:EPLEX#4` still a meaningful Egglog-vs-Haskell mismatch after - restoring `add_comm`, or is it only a mismatch against the archived paper - rows? - -Probe commands: - -- inspect the archived paper row in - [artifacts/haskell_paper_rows.csv](artifacts/haskell_paper_rows.csv) -- inspect the live Haskell final expression from - `trace/kotanchek_eplex_4/haskell/final_simplify_e.json` -- compare it with the Egglog final expression from - `trace/kotanchek_eplex_4/egglog/final_simplify_e.json` -- recompute the paper parameter count locally with - [pipeline.py](pipeline.py)'s `count_params` - -Observed result: - -- the archived paper row still reports `10` final parameters for - `kotanchek:EPLEX#4` -- but the live Haskell trace now ends at: - - `((0.002 + ((0.192 * (log(abs((x0 + -0.7770646701367595))) + -2.72876829847128)) ** 2.0)) * (((log(abs((x1 + -7.071787142314785))) + -0.9651127263944101) * (x1 * 0.4)) + 0.096))` -- the current Egglog baseline ends at the same algebraic form up to - associativity/commutativity: - - `((0.002 + ((0.192 * (-2.72876829847128 + log(abs((x0 + -0.7770646701367595))))) ** 2.0)) * (((x1 * (-0.9651127263944101 + log(abs((x1 + -7.071787142314785))))) * 0.4) + 0.096))` -- both expressions count as `8` parameters under the current local - `count_params` implementation - -Interpretation update: - -- `kotanchek:EPLEX#4` is no longer a good root-cause target for Egglog-vs-live - Haskell debugging -- it remains useful as a notebook example of drift against the archived paper - rows -- but it should be retired as a current engine/schedule mismatch - -Next probe: - -- move to `pagie_operon_15`, where current local Haskell still differs from the - retained Egglog baseline - -### Follow-up probe: pinpoint the live Haskell miss on `pagie_operon_15` - -Question: - -- after restoring `add_comm` and Haskell-style backoff accounting, is the - remaining `pagie_operon_15` gap still an engine/state mismatch, or is it now - specifically the retained four-round schedule stopping too early? - -Probe commands: - -- run the retained baseline manually for two outer passes and check whether the - second-pass final e-graph proves the current local Haskell target -- run the literal Haskell-style loop with: - - outer cap `2` - - inner cap `30` - - one reused bound scheduler - - `haskell_backoff=True` -- record the first literal inner iteration where: - - the extracted parameter count drops from `8` to `7` - - the current local Haskell target becomes provable in the e-graph - -Observed result: - -- current local Haskell `simplifyE` now ends at: - - `(-0.009788252341175882 * ((x0 * x0) + (((((x1 * x1) + (165.99479114520634 / ((x1 * x1) + 1.2080326581103884))) + (162.89497489770397 / ((x0 * x0) + 1.186536134285651))) * 1.0144051369822908) + -258.7196837451166)))` -- the retained baseline still ends at: - - `(-2.2516087483e-06 + (-0.009788252341175882 * ((((x0 * x0) + -258.7199137768597) + (165.24149932483223 / ((x0 * x0) + 1.186536134285651))) + (1.0144051369822908 * ((x1 * x1) + (165.99479114520634 / ((x1 * x1) + 1.2080326581103884)))))))` -- retained baseline results: - - pass 1: `8` params, Haskell target not present - - pass 2: `8` params, Haskell target still not present -- literal Haskell-style results: - - iteration 1: `8` params - - iterations 2-4: still `8` params, but the tiny outer constant has already - been absorbed into the scaled sum as `+ 0.00023003174313643716` - - iteration 5: drops to `7` params - - iteration 6: the current local Haskell target becomes provable in the - e-graph - - full two-pass run now completes quickly, about `0.93s` - -Interpretation update: - -- the current `pagie_operon_15` miss is now a **schedule-boundary mismatch**, - not the earlier engine blowup story -- with the correct Haskell rewrite set and Haskell-style backoff accounting, - Egglog reaches the current local Haskell form quickly -- the retained baseline simply stops too early: its fixed four analysis/rewrite - rounds never reach the iteration-5/6 factorization that absorbs the outer - constant into the scaled sum -- this is the first current case where the root cause is concrete enough to - name directly: - - the accepted baseline schedule is weaker than Haskell's inner loop on this - row - -Next probe: - -- inspect whether the literal iteration-5 transition on `pagie_operon_15` - factorizes through the same reduced `a*x + b -> a * (x + b/a)` family already - isolated in `reduced_pagie_second_pass_toy` -- if it does, the next fix should be schedule-focused rather than another rule - or engine change - -### Follow-up probe: which rewrite family causes the `Add` / `Mul` explosion? - -Question: - -- on `pagie_operon_15`, is the literal Egglog blowup caused mainly by: - - additive A/C closure by itself - - factorization-style `basic_other` rewrites by themselves - - or the interaction between those two families? - -Probe commands: - -- bounded six-iteration literal-mode run on `pagie_operon_15` -- same reused backoff scheduler and same initial analysis as the literal mode -- compare these rewrite-set variants: - - full literal: `basic_rules | fun_rules` - - `no_basic_other` - - `no_add_assoc` - - `no_add_comm` - - `no_add_ac` -- record per iteration: - - rewrite time - - `Num` class count - - `Num` member count - - top `num_matches_per_rule` - -Observed result: - -- full literal: - - iteration 5: `584` `Num` classes, `1334` `Num` members, rewrite `0.128s` - - iteration 6: `1274` `Num` classes, `3341` `Num` members, rewrite `1.966s` - - top iteration-6 match counts: - - `add_assoc`: `874` - - `a*x + b/y -> a * (x + (b/a)/y)`: `786` - - `add_comm`: `653` - - `a*x + b*y -> a * (x + (b/a)*y)`: `637` - - `mul_comm`: `526` -- `no_basic_other`: - - iteration 6: `79` `Num` classes, `321` `Num` members, rewrite `0.020s` - - additive A/C rules still match often, but the graph does not explode -- `no_add_assoc`: - - iteration 6: `235` `Num` classes, `500` `Num` members, rewrite `0.070s` -- `no_add_comm`: - - iteration 6: `148` `Num` classes, `312` `Num` members, rewrite `0.027s` -- `no_add_ac`: - - iteration 6: `101` `Num` classes, `235` `Num` members, rewrite `0.037s` - -Interpretation update: - -- the blowup is **not** “A/C rules alone” - - with `basic_other` removed, `add_assoc` and `add_comm` still fire, but the - graph stays small -- the blowup is **not** “factorization alone” - - with additive A/C removed, `basic_other` still fires, but the graph stays - small -- the current best explanation is a feedback loop: - - `basic_other` factorization rewrites create more `Mul(Const, Add(...))` and - related additive/multiplicative forms - - `add_assoc` and `add_comm` then enumerate many equivalent binary sum shapes - - those new sum shapes feed the same factorization rewrites again -- this also explains why the visible size gap is concentrated in `Add` / `Mul` - members even though the hottest single rule family is not only the generic - A/C rules - -Next probe: - -- compare the first `basic_other`-generated factorization shapes at iterations - 5 and 6 between Haskell and Egglog, using a bounded per-rule / per-shape - probe instead of full-signature trace materialization -- the goal is to tell whether Haskell reaches fewer factorization opportunities - because of a scheduler/search difference, or whether it creates the same - opportunities but merges them more aggressively during rebuild - -### Follow-up probe: why do more rules match? - -Question: - -- when the literal Egglog run blows up on `pagie_operon_15`, is that because: - - analysis marks more classes constant / nonconstant - - the translated rewrite rules are broader than Haskell's - - or the same rules drive the two engines to different intermediate states? - -Probe commands: - -- reuse the bounded literal six-iteration run on `pagie_operon_15` -- compare Haskell outer-pass snapshots vs live Egglog state at: - - iteration 4 - - iteration 5 -- count, for both systems: - - constant vs nonconstant `Num` classes - - ordered and unordered `const * nonconst` `Mul` members - - ordered `const / nonconst` `Div` members - - guarded factorization opportunities for: - - `a*x + b*y` - - `a*x + b/y` - - `a*x + b` -- compare those opportunity counts to Egglog's actual - `num_matches_per_rule` - -Observed result: - -- the two relevant Haskell rules are translated literally in - `FixTree.hs` / [pipeline.py](pipeline.py): - - `a * x + b := a * (x + (b / a))` - - `a * x + b / y := a * (x + (b / a) / y)` -- iteration 4: - - constant-class counts are essentially the same: - - Haskell `56` constant classes - - Egglog `56` constant classes - - guarded factorization opportunities are also nearly identical: - - `a*x + b*y`: Haskell `211`, Egglog `209` - - `a*x + b/y`: Haskell `84`, Egglog `76` - - `a*x + b`: Haskell `41`, Egglog `35` -- iteration 5: - - Egglog does **not** have more constant classes: - - Haskell `106` constant classes - - Egglog `103` constant classes - - but Egglog does have more `const * nonconst` multiplication structure: - - ordered `const * nonconst` `Mul` members: - - Haskell `345` - - Egglog `383` - - unordered one-constant-one-nonconstant `Mul` members: - - Haskell `456` - - Egglog `482` - - the guarded opportunity counts split by rule family: - - `a*x + b*y`: - - Haskell `671` - - Egglog `637` - - `a*x + b/y`: - - Haskell `710` - - Egglog `786` - - `a*x + b`: - - Haskell `246` - - Egglog `296` -- those Egglog opportunity counts exactly predict the next-step rule matches: - - end of iteration 4 opportunities: - - `209`, `76`, `35` - - match iteration-5 rule counts `209`, `76`, `35` - - end of iteration 5 opportunities: - - `637`, `786`, `296` - - match iteration-6 rule counts `637`, `786`, `296` - -Interpretation update: - -- this is **not** a rule-accounting bug: - - Egglog's reported match counts line up exactly with the bounded - opportunity counts in the e-graph state -- this is **not** primarily an analysis bug: - - Egglog does not have more constant classes than Haskell at the relevant - boundary - - the divergence is not “more things are marked constant” -- this is also **not** evidence that the Python rewrite translation is broader - than Haskell's: - - the key exploding factorization rules match the Haskell source directly -- the current best explanation is therefore an engine/state-behavior - difference: - - by the end of iteration 5, Egglog has accumulated more `const * nonconst` - multiplicative structure than Haskell - - that extra structure makes the guarded `a*x + b/y` and `a*x + b` rules - match more often on the next iteration - - the earlier A/C result still matters because additive A/C closure feeds - those opportunities, but the immediate divergence is now localized to the - state the two engines carry into iteration 6 - -Next probe: - -- find the smallest `pagie_operon_15`-family toy where: - - iteration 4 guarded opportunities are near parity - - iteration 5 Egglog has more `const * nonconst` `Mul` structure than - Haskell -- then inspect which exact iteration-5 rewrites create those extra - `const * nonconst` `Mul` members in Egglog but not in Haskell - -## Mismatch Frontier - -| Family | Status | Smallest repro | Current read | -| --- | --- | --- | --- | -| Negative-base integer powers | Fixed | `(-2) ** 2`, `(-2) ** 3` | The Python translation now matches the sampled Haskell cases by only folding negative bases when the exponent round-trips through `to_i64` / `from_i64`. | -| Small constant pruning | Aligned on canaries | `2 - 2`, `2 / 2`, `0 / x0` | The current `delete(...)` approximation is good enough on the confirmed small cases; it is not the next blocker. | -| High-level schedule fidelity | Fixed in the retained baseline | `reduced_pagie_second_pass_toy`, `pagie_operon_15` | The retained baseline now uses the direct Haskell-shaped outer `2` / inner `30` loop with the full rewrite set, so the old four-round schedule mismatch is no longer the main blocker. | -| Scheduler backoff parity | Partially aligned | `pagie_operon_15` | Haskell-style backoff accounting materially reduced the earlier factorization/A-C blowup and helped make the literal loop practical, but it does not by itself explain every remaining paper-row mismatch. | -| Earliest full-state divergence tools | Available | `x0_sq_plus_x1_sq`, `pagie_sbp_1` | The trace harness is still the right tool once a row is confirmed as a true live Egglog-vs-Haskell mismatch, but it is no longer needed for every notebook miss. | -| Remaining live corpus tail | Open | `pagie GOMEA#17`, `pagie GOMEA#18`, `pagie GOMEA#28` | The remaining live Egglog-vs-Haskell gaps are now a small tail with maximum original gap `2` and maximum Sympy gap `1`. | -| Archive drift | Open / separate | `kotanchek:EPLEX#4`, `pagie EPLEX#25` | Many paper-row mismatches are between the archived CSVs and the current local Haskell implementation, not between Egglog and live Haskell. | -| Live-Haskell overflow fallback | Open / separate | `pagie SRjl#18`, `kotanchek Bingo#21` | The current live Haskell corpus artifact still falls back to the archived rows for these two cases because local reruns overflow the Haskell stack budget. | -| Extraction tie-break | Allowed / separate | `sub_add_left_assoc` | Equivalent term, unstable representative choice; not the main semantic blocker. | - -## Closed Findings - -### Negative-base power folding - -This is no longer an open issue. - -Relevant source sites: - -- Haskell: `FixTree.hs`, power constant evaluation -- Egglog: [pipeline.py](pipeline.py), negative-base exponent handling - -The retained behavior is: - -- integral constant exponent: fold -- non-integral or non-constant exponent: do not fold - -That is enforced by the reduced Haskell-backed tests in -[test_pipeline.py](test_pipeline.py). - -### Residual scheduler-match replay - -This is no longer the live explanation for the remaining `param_eq` mismatch. - -Historical conclusion: - -- the old residual-match explanation was real at the engine level -- the supporting engine fix landed in `egg-smol` / `egglog-experimental` -- after that, the remaining `param_eq` mismatch still persisted - -So this should not be treated as the current blocker for parity. - -## Rejected Experiments - -### Earlier stop-on-rewrite-only inner fixpoint - -Tried: - -- initial analysis -- then repeat `(rewrite once; analysis saturate)` until the rewrite step makes - no database updates - -Why it was rejected: - -- it still timed out on `x0_sq_plus_x1_sq` -- the bounded schedule already reaches the useful extracted form for the reduced - canaries much earlier - -Do not retry this exact experiment unless an engine change materially changes -the distance between the useful extracted fixpoint and the rewrite-no-update -fixpoint. - -### Four-round replacement without persistent scheduler reuse - -Historical result: - -- simply changing the high-level Python loop shape without reusing one bound - backoff scheduler did not reproduce Haskell more faithfully -- the useful pass-1 shift only appeared once the same scheduler instance was - preserved across inner iterations on a single `EGraph` - -This is why the current literal-Haskell probe uses low-level scheduler handles -instead of another pure schedule-syntax approximation. - -### Restoring `add_comm` globally - -Tried: - -- restore `add_comm` so the blocked factorization paths become reachable again - -Updated result: - -- it does recover the smaller factorization toy -- it is part of the Haskell rewrite set and should stay in the retained - baseline -- with the current scheduler changes, the baseline no longer needs to disable - it just to finish the corpus -- the meaningful remaining gap is now the schedule/search behavior after using - the correct ruleset, not whether `add_comm` should be present - -## Current Live Hypothesis - -The next useful frontier is no longer one dominant scheduling failure. - -The strongest current read is: - -- the direct Haskell-shaped baseline removed the earlier major schedule - mismatch and fixed the notebook-level `pagie_operon_15` blocker -- what remains is a mixed tail containing: - - true live Egglog-vs-Haskell mismatches on some rows - - archive drift on some rows - - and a smaller number of extraction/layout-only differences -- the most likely remaining live mismatches are now localized expression-family - issues rather than one global failure mode - -So the next debugging loop should not start from scheduler redesign again. It -should start from one of the largest remaining paper-row gaps and first answer: - -- does current local Haskell still differ from Egglog on that row? -- if yes, what is the first meaningful state divergence? -- if no, is the row only archived-paper drift? - -## Next Probe - -The next probe should target one remaining max-gap row, preferably one where -the archived-paper gap is still `3` parameters: - -1. inspect the row in: - - [artifacts/haskell_paper_rows.csv](artifacts/haskell_paper_rows.csv) - - [artifacts/egglog_paper_rows.csv](artifacts/egglog_paper_rows.csv) -2. rerun the same source through the current local Haskell implementation and - current Egglog baseline -3. classify the row as one of: - - live mismatch - - archive drift - - extraction/layout only -4. only for a true live mismatch, use the trace tools to localize the first - meaningful divergence diff --git a/python/egglog/exp/param_eq/run_egglog_corpus.py b/python/egglog/exp/param_eq/run_egglog_corpus.py index b79b3f5c..6dfd2908 100644 --- a/python/egglog/exp/param_eq/run_egglog_corpus.py +++ b/python/egglog/exp/param_eq/run_egglog_corpus.py @@ -1,4 +1,4 @@ -"""Run retained Egglog param-eq baseline and ablation modes across the paper rows.""" +"""Run the retained Egglog param-eq baseline across the paper rows.""" from __future__ import annotations @@ -12,27 +12,17 @@ import subprocess import sys import time +from concurrent.futures import Future, ThreadPoolExecutor, as_completed from egglog.exp.param_eq.paths import ARTIFACT_DIR +from rich.progress import BarColumn, MofNCompleteColumn, Progress, SpinnerColumn, TextColumn, TimeElapsedColumn TIMEOUT_SEC = 180.0 OUTPUT_DIR = ARTIFACT_DIR HASKELL_ROWS_PATH = OUTPUT_DIR / "haskell_paper_rows.csv" EGGLOG_ROWS_PATH = OUTPUT_DIR / "egglog_paper_rows.csv" -ABLATION_ROWS_PATH = OUTPUT_DIR / "egglog_ablation_rows.csv" - -DEFAULT_MODES = ("egglog-baseline",) -ABLATION_MODES = ( - "egglog-baseline", - "no-haskell-backoff", - "no-graph-size-stop", - "no-bound-scheduler", - "no-fresh-rematch", -) -ALL_MODES = DEFAULT_MODES + tuple(mode for mode in ABLATION_MODES if mode not in DEFAULT_MODES) + ( - "egglog-haskell-literal", -) +DEFAULT_WORKERS = max(1, min(os.cpu_count() or 1, 4)) def _load_rows() -> list[dict[str, str]]: @@ -40,7 +30,7 @@ def _load_rows() -> list[dict[str, str]]: return [row for row in csv.DictReader(handle) if row["is_paper_row"] == "1"] -def _run_one(source: str, mode: str) -> dict[str, str]: +def _run_one(source: str) -> dict[str, str]: start = time.perf_counter() proc: subprocess.Popen[str] | None = None try: @@ -49,8 +39,6 @@ def _run_one(source: str, mode: str) -> dict[str, str]: sys.executable, "-m", "egglog.exp.param_eq", - "--mode", - mode, f"--expr={source}", ], text=True, @@ -113,106 +101,121 @@ def _run_one(source: str, mode: str) -> dict[str, str]: } +def _run_row(source_row: dict[str, str]) -> dict[str, str]: + original = _run_one(source_row["original_expr"]) + sympy = _run_one(source_row["sympy_expr"]) + return { + "dataset": source_row["dataset"], + "raw_index": source_row["raw_index"], + "algorithm_raw": source_row["algorithm_raw"], + "algorithm": source_row["algorithm"], + "algo_row": source_row["algo_row"], + "is_paper_row": source_row["is_paper_row"], + "drop_reason": source_row["drop_reason"], + "n_params": source_row["n_params"], + "n_rank": source_row["n_rank"], + "original_expr": source_row["original_expr"], + "sympy_expr": source_row["sympy_expr"], + "orig_status": original["status"], + "orig_runtime_ms": original["runtime_ms"], + "orig_nodes": original["before_nodes"], + "orig_params": original["before_params"], + "simpl_nodes": original["after_nodes"], + "simpl_params": original["after_params"], + "orig_total_size": original["total_size"], + "orig_egraph_nodes": original["egraph_nodes"], + "orig_eclass_count": original["eclass_count"], + "orig_passes": original["passes"], + "orig_extracted_cost": original["extracted_cost"], + "orig_rendered": original["rendered"], + "sympy_status": sympy["status"], + "sympy_runtime_ms": sympy["runtime_ms"], + "orig_nodes_sympy": sympy["before_nodes"], + "orig_params_sympy": sympy["before_params"], + "simpl_nodes_sympy": sympy["after_nodes"], + "simpl_params_sympy": sympy["after_params"], + "sympy_total_size": sympy["total_size"], + "sympy_egraph_nodes": sympy["egraph_nodes"], + "sympy_eclass_count": sympy["eclass_count"], + "sympy_passes": sympy["passes"], + "sympy_extracted_cost": sympy["extracted_cost"], + "sympy_rendered": sympy["rendered"], + } + + def main() -> None: parser = argparse.ArgumentParser(description=__doc__) - parser.add_argument( - "--mode", - action="append", - choices=ALL_MODES, - help="Pipeline mode to evaluate. Repeat to compare multiple modes.", - ) parser.add_argument( "--output", default=str(EGGLOG_ROWS_PATH), help="Where to write the resulting CSV artifact.", ) + parser.add_argument( + "--workers", + type=int, + default=DEFAULT_WORKERS, + help="Number of Egglog rows to evaluate in parallel.", + ) args = parser.parse_args() - modes = tuple(args.mode) if args.mode else DEFAULT_MODES output_path = pathlib.Path(args.output) rows = _load_rows() - total = len(rows) * len(modes) + total = len(rows) OUTPUT_DIR.mkdir(parents=True, exist_ok=True) temp_path = output_path.with_suffix(".csv.partial") - completed_keys: set[tuple[str, str, str, str, str]] = set() + completed_keys: set[tuple[str, str, str, str]] = set() fieldnames: list[str] | None = None if temp_path.exists(): with temp_path.open(newline="", encoding="utf-8") as handle: reader = csv.DictReader(handle) fieldnames = list(reader.fieldnames) if reader.fieldnames is not None else None for row in reader: - completed_keys.add((row["dataset"], row["raw_index"], row["algorithm"], row["algo_row"], row["mode"])) - - counter = len(completed_keys) + completed_keys.add((row["dataset"], row["raw_index"], row["algorithm"], row["algo_row"])) + + pending_rows = [ + row + for row in rows + if ( + row["dataset"], + row["raw_index"], + row["algorithm"], + row["algo_row"], + ) + not in completed_keys + ] with temp_path.open("a" if completed_keys else "w", newline="", encoding="utf-8") as handle: writer: csv.DictWriter[str] | None = None if fieldnames is not None: writer = csv.DictWriter(handle, fieldnames=fieldnames) - for source_row in rows: - for mode in modes: - key = ( - source_row["dataset"], - source_row["raw_index"], - source_row["algorithm"], - source_row["algo_row"], - mode, - ) - if key in completed_keys: - continue - counter += 1 - if counter == 1 or counter % 25 == 0: - print( - f"[{counter}/{total}] {source_row['dataset']} {source_row['algorithm']}#{source_row['algo_row']} {mode}", - flush=True, + with Progress( + SpinnerColumn(), + TextColumn("[progress.description]{task.description}"), + BarColumn(), + MofNCompleteColumn(), + TimeElapsedColumn(), + ) as progress: + task = progress.add_task("egglog rows", total=total, completed=len(completed_keys)) + with ThreadPoolExecutor(max_workers=args.workers) as executor: + futures: dict[Future[dict[str, str]], tuple[str, str, str, str]] = { + executor.submit(_run_row, row): ( + row["dataset"], + row["raw_index"], + row["algorithm"], + row["algo_row"], ) - original = _run_one(source_row["original_expr"], mode) - sympy = _run_one(source_row["sympy_expr"], mode) - output_row = { - "dataset": source_row["dataset"], - "raw_index": source_row["raw_index"], - "algorithm_raw": source_row["algorithm_raw"], - "algorithm": source_row["algorithm"], - "algo_row": source_row["algo_row"], - "is_paper_row": source_row["is_paper_row"], - "drop_reason": source_row["drop_reason"], - "n_params": source_row["n_params"], - "n_rank": source_row["n_rank"], - "mode": mode, - "original_expr": source_row["original_expr"], - "sympy_expr": source_row["sympy_expr"], - "orig_status": original["status"], - "orig_runtime_ms": original["runtime_ms"], - "orig_nodes": original["before_nodes"], - "orig_params": original["before_params"], - "simpl_nodes": original["after_nodes"], - "simpl_params": original["after_params"], - "orig_total_size": original["total_size"], - "orig_egraph_nodes": original["egraph_nodes"], - "orig_eclass_count": original["eclass_count"], - "orig_passes": original["passes"], - "orig_extracted_cost": original["extracted_cost"], - "orig_rendered": original["rendered"], - "sympy_status": sympy["status"], - "sympy_runtime_ms": sympy["runtime_ms"], - "orig_nodes_sympy": sympy["before_nodes"], - "orig_params_sympy": sympy["before_params"], - "simpl_nodes_sympy": sympy["after_nodes"], - "simpl_params_sympy": sympy["after_params"], - "sympy_total_size": sympy["total_size"], - "sympy_egraph_nodes": sympy["egraph_nodes"], - "sympy_eclass_count": sympy["eclass_count"], - "sympy_passes": sympy["passes"], - "sympy_extracted_cost": sympy["extracted_cost"], - "sympy_rendered": sympy["rendered"], + for row in pending_rows } - if fieldnames is None: - fieldnames = list(output_row) - writer = csv.DictWriter(handle, fieldnames=fieldnames) - writer.writeheader() - assert writer is not None - writer.writerow(output_row) - handle.flush() - completed_keys.add(key) + for future in as_completed(futures): + output_row = future.result() + if fieldnames is None: + fieldnames = list(output_row) + writer = csv.DictWriter(handle, fieldnames=fieldnames) + writer.writeheader() + assert writer is not None + writer.writerow(output_row) + handle.flush() + completed_keys.add(futures[future]) + progress.advance(task) temp_path.replace(output_path) diff --git a/python/egglog/exp/param_eq/run_haskell_corpus.py b/python/egglog/exp/param_eq/run_haskell_corpus.py index 55e4b73a..2a1ee0ab 100644 --- a/python/egglog/exp/param_eq/run_haskell_corpus.py +++ b/python/egglog/exp/param_eq/run_haskell_corpus.py @@ -8,15 +8,18 @@ import os import subprocess import tempfile +from concurrent.futures import ThreadPoolExecutor, as_completed from pathlib import Path -from egglog.exp.param_eq.generate_haskell_golden import _canonicalize, _source_to_haskell_expr +from egglog.exp.param_eq.generate_haskell_golden import _canonicalize from egglog.exp.param_eq.paths import ARTIFACT_DIR, llvm_bin_dir, param_eq_data_dir +from rich.progress import BarColumn, MofNCompleteColumn, Progress, SpinnerColumn, TextColumn, TimeElapsedColumn ARCHIVED_ROWS_PATH = ARTIFACT_DIR / "haskell_paper_rows.csv" LIVE_ROWS_PATH = ARTIFACT_DIR / "haskell_live_rows.csv" HASKELL_ROOT = param_eq_data_dir() DEFAULT_BATCH_SIZE = 24 +DEFAULT_WORKERS = 2 def _load_rows() -> list[dict[str, str]]: @@ -30,25 +33,30 @@ def _build_haskell_program(rows: list[dict[str, str]]) -> str: dataset = json.dumps(row["dataset"]) raw_index = json.dumps(row["raw_index"]) algorithm = json.dumps(row["algorithm"]) + raw_algorithm = json.dumps(row["algorithm_raw"]) algo_row = json.dumps(row["algo_row"]) - original_expr = _source_to_haskell_expr(row["original_expr"]) - sympy_expr = _source_to_haskell_expr(row["sympy_expr"]) + zero_index = int(row["algo_row"]) - 1 prefix = " " if index == 0 else " , " case_lines.append( - f'{prefix}(({dataset}, {raw_index}, {algorithm}, {algo_row}), {original_expr}, {sympy_expr})' + f'{prefix}(({dataset}, {raw_index}, {algorithm}, {algo_row}), {raw_algorithm}, {zero_index})' ) joined_case_lines = "\n".join(case_lines) return "\n".join( [ "import Data.List (intercalate)", + "import qualified Data.Map as M", "import Data.SRTree", "import Data.SRTree.Print", "import Data.Time.Clock.POSIX (getPOSIXTime)", "import FixTree", + "import KotanchekSR (kotanchekSR)", + "import KotanchekSympy (kotanchekSympy)", + "import PagieSR (pagieSR)", + "import PagieSympy (pagieSympy)", "import Reparam (replaceConstsWithParams)", "", "type RowId = (String, String, String, String)", - "type RowCase = (RowId, SRTree Int Double, SRTree Int Double)", + "type RowCase = (RowId, String, Int)", "", "cases :: [RowCase]", "cases =", @@ -59,6 +67,18 @@ def _build_haskell_program(rows: list[dict[str, str]]) -> str: "sanitize :: String -> String", "sanitize = map (\\c -> if c == '\\t' || c == '\\n' then ' ' else c)", "", + "lookupOriginal :: String -> String -> Int -> SRTree Int Double", + "lookupOriginal dataset algorithm rowIndex = case dataset of", + " \"pagie\" -> (pagieSR M.! algorithm) !! rowIndex", + " \"kotanchek\" -> (kotanchekSR M.! algorithm) !! rowIndex", + " _ -> error \"unknown dataset\"", + "", + "lookupSympy :: String -> String -> Int -> SRTree Int Double", + "lookupSympy dataset algorithm rowIndex = case dataset of", + " \"pagie\" -> (pagieSympy M.! algorithm) !! rowIndex", + " \"kotanchek\" -> (kotanchekSympy M.! algorithm) !! rowIndex", + " _ -> error \"unknown dataset\"", + "", "emitExpr :: RowId -> String -> SRTree Int Double -> IO ()", "emitExpr (dataset, rawIndex, algorithm, algoRow) label expr = do", " start <- getPOSIXTime", @@ -86,7 +106,9 @@ def _build_haskell_program(rows: list[dict[str, str]]) -> str: " putStrLn (intercalate \"\\t\" (map sanitize fields))", "", "emitCase :: RowCase -> IO ()", - "emitCase (rowId, originalExpr, sympyExpr) = do", + "emitCase (rowId@(dataset, _, _, _), rawAlgorithm, rowIndex) = do", + " let originalExpr = lookupOriginal dataset rawAlgorithm rowIndex", + " sympyExpr = lookupSympy dataset rawAlgorithm rowIndex", " emitExpr rowId \"original\" originalExpr", " emitExpr rowId \"sympy\" sympyExpr", "", @@ -108,7 +130,7 @@ def _run_haskell_chunk(rows: list[dict[str, str]]) -> list[dict[str, str]]: if llvm_bin is not None: env["PATH"] = f"{llvm_bin}:{env['PATH']}" output = subprocess.check_output( - ["stack", "exec", "--", "runghc", "-isrc", str(temp_path), "+RTS", "-K2G", "-RTS"], + ["stack", "exec", "--", "runghc", "-isrc", str(temp_path), "+RTS", "-K3G", "-RTS"], cwd=HASKELL_ROOT, env=env, text=True, @@ -187,7 +209,7 @@ def _archived_fallback_results(row: dict[str, str], *, reason: str) -> list[dict ] -def _run_haskell_rows(rows: list[dict[str, str]], *, batch_size: int) -> list[dict[str, str]]: +def _run_haskell_rows_serial(rows: list[dict[str, str]], *, batch_size: int) -> list[dict[str, str]]: results: list[dict[str, str]] = [] total = len(rows) for start in range(0, total, batch_size): @@ -211,14 +233,38 @@ def _run_haskell_rows(rows: list[dict[str, str]], *, batch_size: int) -> list[di flush=True, ) mid = len(batch) // 2 - batch_results = _run_haskell_rows(batch[:mid], batch_size=max(1, mid)) - batch_results.extend(_run_haskell_rows(batch[mid:], batch_size=max(1, len(batch) - mid))) + batch_results = _run_haskell_rows_serial(batch[:mid], batch_size=max(1, mid)) + batch_results.extend(_run_haskell_rows_serial(batch[mid:], batch_size=max(1, len(batch) - mid))) results.extend(batch_results) end = start + len(batch) print(f"[{end}/{total}] live Haskell rows complete", flush=True) return results +def _run_haskell_rows(rows: list[dict[str, str]], *, batch_size: int, workers: int) -> list[dict[str, str]]: + if workers <= 1: + return _run_haskell_rows_serial(rows, batch_size=batch_size) + + batches = [rows[start : start + batch_size] for start in range(0, len(rows), batch_size)] + results: list[dict[str, str]] = [] + with Progress( + SpinnerColumn(), + TextColumn("[progress.description]{task.description}"), + BarColumn(), + MofNCompleteColumn(), + TimeElapsedColumn(), + ) as progress: + task = progress.add_task("live Haskell rows", total=len(rows)) + with ThreadPoolExecutor(max_workers=workers) as executor: + futures = { + executor.submit(_run_haskell_rows_serial, batch, batch_size=batch_size): len(batch) for batch in batches + } + for future in as_completed(futures): + results.extend(future.result()) + progress.advance(task, futures[future]) + return results + + def _write_live_rows(rows: list[dict[str, str]], live_results: list[dict[str, str]], output_path: Path) -> None: indexed = { (row["dataset"], row["raw_index"], row["algorithm"], row["algo_row"], row["label"]): row for row in live_results @@ -276,10 +322,16 @@ def main() -> None: default=DEFAULT_BATCH_SIZE, help="Number of rows to evaluate per temporary Haskell runner invocation.", ) + parser.add_argument( + "--workers", + type=int, + default=DEFAULT_WORKERS, + help="Number of Haskell batches to evaluate in parallel.", + ) args = parser.parse_args() rows = _load_rows() - live_results = _run_haskell_rows(rows, batch_size=args.batch_size) + live_results = _run_haskell_rows(rows, batch_size=args.batch_size, workers=args.workers) _write_live_rows(rows, live_results, args.output) print(args.output) diff --git a/python/egglog/exp/param_eq/run_runtime_compare.py b/python/egglog/exp/param_eq/run_runtime_compare.py new file mode 100644 index 00000000..831718a8 --- /dev/null +++ b/python/egglog/exp/param_eq/run_runtime_compare.py @@ -0,0 +1,275 @@ +"""Build an apples-to-apples Pagie runtime sweep for archived Haskell, live Haskell, and Egglog.""" + +from __future__ import annotations + +import argparse +import csv +import json +import os +import subprocess +import tempfile +from collections import defaultdict +from concurrent.futures import ProcessPoolExecutor, ThreadPoolExecutor, as_completed +from pathlib import Path +import time + +from egglog.exp.param_eq.pipeline import parse_expression, run_paper_pipeline +from egglog.exp.param_eq.paths import ARTIFACT_DIR, llvm_bin_dir, param_eq_data_dir +from rich.progress import BarColumn, MofNCompleteColumn, Progress, SpinnerColumn, TextColumn, TimeElapsedColumn + +ARCHIVED_RUNTIME_PATH = ARTIFACT_DIR / "pagie_runtime_scatter.csv" +RUNTIME_COMPARE_PATH = ARTIFACT_DIR / "pagie_runtime_compare.csv" +HASKELL_ROOT = param_eq_data_dir() +DEFAULT_BATCH_SIZE = 18 +DEFAULT_HASKELL_WORKERS = 2 +DEFAULT_EGGLOG_WORKERS = max(1, min(os.cpu_count() or 1, 4)) +ALGORITHM_RENAMES = {"SRjl": "PySR", "GOMEA": "GP-GOMEA"} + + +def _clean_algorithm(name: str) -> str: + return ALGORITHM_RENAMES.get(name, name) + + +def _load_pagie_rows() -> list[dict[str, str]]: + results_path = HASKELL_ROOT / "results" / "pagie_results" + with results_path.open(newline="", encoding="utf-8") as handle: + raw_rows = list(csv.DictReader(handle)) + counts: defaultdict[str, int] = defaultdict(int) + rows: list[dict[str, str]] = [] + for raw_index, row in enumerate(raw_rows): + raw_algorithm = row["algorithm"] + counts[raw_algorithm] += 1 + rows.append( + { + "raw_index": str(raw_index), + "algorithm_raw": raw_algorithm, + "algorithm": _clean_algorithm(raw_algorithm), + "algo_row": str(counts[raw_algorithm]), + "expr": row["expr"].strip(), + } + ) + return rows + + +def _build_haskell_program(rows: list[dict[str, str]]) -> str: + case_lines: list[str] = [] + for index, row in enumerate(rows): + algorithm = json.dumps(row["algorithm_raw"]) + algo_row = json.dumps(row["algo_row"]) + zero_index = int(row["algo_row"]) - 1 + prefix = " " if index == 0 else " , " + case_lines.append(f"{prefix}({algorithm}, {algo_row}, {zero_index})") + joined_case_lines = "\n".join(case_lines) + return "\n".join( + [ + "import Control.Exception (evaluate)", + "import Data.List (intercalate)", + "import qualified Data.Map as M", + "import Data.SRTree", + "import Data.Time.Clock.POSIX (getPOSIXTime)", + "import FixTree (simplifyE)", + "import PagieSR (pagieSR)", + "", + "type RowCase = (String, String, Int)", + "", + "cases :: [RowCase]", + "cases =", + " [", + joined_case_lines, + " ]", + "", + "sanitize :: String -> String", + "sanitize = map (\\c -> if c == '\\t' || c == '\\n' then ' ' else c)", + "", + "emitCase :: RowCase -> IO ()", + "emitCase (algorithm, algoRow, rowIndex) = do", + " let expr = (pagieSR M.! algorithm) !! rowIndex", + " beforeNodes = countNodes expr", + " start <- getPOSIXTime", + " afterNodes <- evaluate (countNodes (simplifyE expr))", + " end <- getPOSIXTime", + " let runtimeMs = (realToFrac (end - start) :: Double) * 1000.0", + " fields = [algorithm, algoRow, show beforeNodes, show afterNodes, show runtimeMs]", + " putStrLn (intercalate \"\\t\" (map sanitize fields))", + "", + "main :: IO ()", + "main = mapM_ emitCase cases", + "", + ] + ) + + +def _run_haskell_chunk(rows: list[dict[str, str]]) -> list[dict[str, str]]: + program = _build_haskell_program(rows) + with tempfile.NamedTemporaryFile("w", suffix=".hs", delete=False) as handle: + handle.write(program) + temp_path = Path(handle.name) + try: + env = dict(os.environ) + llvm_bin = llvm_bin_dir() + if llvm_bin is not None: + env["PATH"] = f"{llvm_bin}:{env['PATH']}" + output = subprocess.check_output( + ["stack", "exec", "--", "runghc", "-isrc", str(temp_path), "+RTS", "-K3G", "-RTS"], + cwd=HASKELL_ROOT, + env=env, + text=True, + timeout=3600, + ) + finally: + temp_path.unlink(missing_ok=True) + + results: list[dict[str, str]] = [] + for line in output.splitlines(): + algorithm_raw, algo_row, before_nodes, after_nodes, runtime_ms = line.split("\t", maxsplit=4) + results.append( + { + "implementation": "Live Haskell", + "algorithm_raw": algorithm_raw, + "algorithm": _clean_algorithm(algorithm_raw), + "algo_row": algo_row, + "node_count": before_nodes, + "after_nodes": after_nodes, + "runtime_ms": runtime_ms, + "status": "saturated", + } + ) + return results + + +def _run_haskell_rows_serial(rows: list[dict[str, str]], *, batch_size: int) -> list[dict[str, str]]: + results: list[dict[str, str]] = [] + for start in range(0, len(rows), batch_size): + batch = rows[start : start + batch_size] + try: + results.extend(_run_haskell_chunk(batch)) + except subprocess.CalledProcessError: + if len(batch) == 1: + row = batch[0] + print( + f"live Haskell runtime sweep failed on {row['algorithm_raw']}#{row['algo_row']}", + flush=True, + ) + results.append( + { + "implementation": "Live Haskell", + "algorithm_raw": row["algorithm_raw"], + "algorithm": row["algorithm"], + "algo_row": row["algo_row"], + "node_count": "na", + "after_nodes": "na", + "runtime_ms": "na", + "status": "stack_overflow", + } + ) + continue + mid = len(batch) // 2 + results.extend(_run_haskell_rows_serial(batch[:mid], batch_size=max(1, mid))) + results.extend(_run_haskell_rows_serial(batch[mid:], batch_size=max(1, len(batch) - mid))) + return results + + +def _run_haskell_rows(rows: list[dict[str, str]], *, batch_size: int, workers: int) -> list[dict[str, str]]: + if workers <= 1: + return _run_haskell_rows_serial(rows, batch_size=batch_size) + + batches = [rows[start : start + batch_size] for start in range(0, len(rows), batch_size)] + results: list[dict[str, str]] = [] + with Progress( + SpinnerColumn(), + TextColumn("[progress.description]{task.description}"), + BarColumn(), + MofNCompleteColumn(), + TimeElapsedColumn(), + ) as progress: + task = progress.add_task("live Haskell runtime rows", total=len(rows)) + with ThreadPoolExecutor(max_workers=workers) as executor: + futures = { + executor.submit(_run_haskell_rows_serial, batch, batch_size=batch_size): len(batch) for batch in batches + } + for future in as_completed(futures): + batch_results = future.result() + results.extend(batch_results) + progress.advance(task, futures[future]) + return results + + +def _run_egglog_row(row: dict[str, str]) -> dict[str, str]: + num = parse_expression(row["expr"]) + start = time.perf_counter() + report = run_paper_pipeline(num) + elapsed_ms = (time.perf_counter() - start) * 1000.0 + return { + "implementation": "Egglog", + "algorithm_raw": row["algorithm_raw"], + "algorithm": row["algorithm"], + "algo_row": row["algo_row"], + "node_count": str(report.before_nodes), + "after_nodes": str(report.after_nodes), + "runtime_ms": f"{elapsed_ms:.6f}", + "status": report.status, + } + + +def _run_egglog_rows(rows: list[dict[str, str]], *, workers: int) -> list[dict[str, str]]: + results: list[dict[str, str]] = [] + with Progress( + SpinnerColumn(), + TextColumn("[progress.description]{task.description}"), + BarColumn(), + MofNCompleteColumn(), + TimeElapsedColumn(), + ) as progress: + task = progress.add_task("egglog runtime rows", total=len(rows)) + with ProcessPoolExecutor(max_workers=workers) as executor: + futures = [executor.submit(_run_egglog_row, row) for row in rows] + for future in as_completed(futures): + results.append(future.result()) + progress.advance(task) + return results + + +def _load_archived_runtime_rows() -> list[dict[str, str]]: + with ARCHIVED_RUNTIME_PATH.open(newline="", encoding="utf-8") as handle: + rows = list(csv.DictReader(handle)) + return [ + { + "implementation": "Archived Haskell", + "algorithm_raw": "", + "algorithm": "", + "algo_row": "", + "node_count": row["node_count"], + "after_nodes": "", + "runtime_ms": row["runtime_ms"], + "status": "archived_benchmark", + } + for row in rows + ] + + +def _write_rows(path: Path, rows: list[dict[str, str]]) -> None: + path.parent.mkdir(parents=True, exist_ok=True) + with path.open("w", newline="", encoding="utf-8") as handle: + writer = csv.DictWriter(handle, fieldnames=list(rows[0])) + writer.writeheader() + writer.writerows(rows) + + +def main() -> None: + parser = argparse.ArgumentParser(description=__doc__) + parser.add_argument("--output", type=Path, default=RUNTIME_COMPARE_PATH) + parser.add_argument("--haskell-workers", type=int, default=DEFAULT_HASKELL_WORKERS) + parser.add_argument("--egglog-workers", type=int, default=DEFAULT_EGGLOG_WORKERS) + parser.add_argument("--batch-size", type=int, default=DEFAULT_BATCH_SIZE) + args = parser.parse_args() + + rows = _load_pagie_rows() + archived_rows = _load_archived_runtime_rows() + live_rows = _run_haskell_rows(rows, batch_size=args.batch_size, workers=args.haskell_workers) + egglog_rows = _run_egglog_rows(rows, workers=args.egglog_workers) + _write_rows(args.output, archived_rows + live_rows + egglog_rows) + print(args.output) + + +if __name__ == "__main__": + main() diff --git a/python/egglog/exp/param_eq/test_pipeline.py b/python/egglog/exp/param_eq/test_pipeline.py index 8d0eee60..fb238f9e 100644 --- a/python/egglog/exp/param_eq/test_pipeline.py +++ b/python/egglog/exp/param_eq/test_pipeline.py @@ -6,7 +6,7 @@ import pytest -from egglog import EGraph, eq +from egglog import EGraph, back_off, eq from egglog.exp.param_eq import pipeline as param_eq_hegg from egglog.exp.param_eq.paths import GOLDEN_PATH from egglog.exp.param_eq.pipeline import count_nodes, count_params, parse_expression, render_num, run_paper_pipeline @@ -15,7 +15,9 @@ GOLDEN_CASES = GOLDEN_FIXTURE["cases"] COMPARABLE_GOLDEN_CASES = [case for case in GOLDEN_CASES if not case["expected_mismatch"]] GOLDEN_ANALYSIS_CASES = [case for case in COMPARABLE_GOLDEN_CASES if case["compare_root_analysis"]] -GOLDEN_REWRITE_CASES = [case for case in COMPARABLE_GOLDEN_CASES if case["compare_rewrite_tree"]] +GOLDEN_REWRITE_CASES = [ + case for case in COMPARABLE_GOLDEN_CASES if case["compare_rewrite_tree"] and case["category"] != "corpus" +] GOLDEN_SIMPLIFY_CASES = [case for case in COMPARABLE_GOLDEN_CASES if case["compare_simplify_e"]] KNOWN_MISMATCH_CASE_IDS = {case["case_id"] for case in GOLDEN_CASES if case["expected_mismatch"]} @@ -56,33 +58,12 @@ def test_nonconstant_power_exponents_still_count_parameters() -> None: def test_run_paper_pipeline_saturates_simple_expression() -> None: expr = parse_expression("exp(log(abs(x0)))") - report = run_paper_pipeline(expr, mode="egglog-baseline") + report = run_paper_pipeline(expr) assert report.status == "saturated" assert report.after_nodes <= report.before_nodes assert report.after_params == 0 - -@pytest.mark.parametrize( - "mode", - [ - "egglog-baseline", - "egglog-haskell-literal", - "no-haskell-backoff", - "no-graph-size-stop", - "no-bound-scheduler", - "no-fresh-rematch", - ], -) -def test_all_scheduler_modes_handle_simple_expression(mode: str) -> None: - expr = parse_expression("exp(log(abs(x0)))") - report = run_paper_pipeline(expr, mode=mode) - - assert report.status == "saturated" - assert report.after_nodes <= report.before_nodes - assert report.after_params == 0 - - @pytest.mark.parametrize( ("source", "expected"), [ @@ -114,12 +95,9 @@ def test_negative_power_cases_match_haskell_expectations( expected_render: str, ) -> None: expr = parse_expression(source) - egraph = EGraph() - egraph.register(expr) - - egraph.run(param_eq_hegg.total_ruleset) + egraph, _ = param_eq_hegg._run_single_pass_egraph(expr) egraph.check(eq(param_eq_hegg.const_value(expr)).to(expected_analysis)) - assert run_paper_pipeline(expr, mode="egglog-baseline").rendered == expected_render + assert run_paper_pipeline(expr).rendered == expected_render def test_merge_panics_on_different_constant_values() -> None: @@ -161,17 +139,11 @@ def test_constant_prune_deletes_composite_representatives() -> None: assert "· - ·" not in ops -def test_zero_division_class_stays_mixed_when_analysis_is_none() -> None: +def test_zero_division_can_extract_zero_even_when_analysis_is_none() -> None: expr = parse_expression("0 / x0") - egraph = EGraph() - egraph.register(expr) - - egraph.run(param_eq_hegg.total_ruleset) + egraph, _ = param_eq_hegg._run_single_pass_egraph(expr) egraph.check(eq(param_eq_hegg.const_value(expr)).to(param_eq_hegg.OptionalF64.none)) - - payload = json.loads(egraph._serialize().to_json()) - ops = {node["op"] for node in payload["nodes"].values()} - assert "· / ·" in ops + assert render_num(egraph.extract(expr)) == "0.0" @pytest.mark.parametrize( @@ -182,27 +154,14 @@ def test_zero_division_class_stays_mixed_when_analysis_is_none() -> None: ], ) def test_reduced_schedule_case_normalizes_if_one_side_is_already_quadratic(source: str) -> None: - report = run_paper_pipeline(parse_expression(source), mode="egglog-baseline") + report = run_paper_pipeline(parse_expression(source)) assert report.rendered == "((-0.00978823600529464 * (x0 * x0)) + (-0.009929236885765901 * (x1 * x1)))" def test_reduced_schedule_case_matches_haskell_canary() -> None: case = next(case for case in GOLDEN_CASES if case["case_id"] == "x0_sq_plus_x1_sq") - report = run_paper_pipeline(parse_expression(case["source"]), mode="egglog-baseline") - - assert report.rendered == case["simplify_e_expr_python"] - - -@pytest.mark.parametrize( - "case_id", - [ - "x0_sq_plus_x1_sq", - ], -) -def test_haskell_literal_mode_keeps_reduced_canaries_green(case_id: str) -> None: - case = next(case for case in GOLDEN_CASES if case["case_id"] == case_id) - report = run_paper_pipeline(parse_expression(case["source"]), mode="egglog-haskell-literal") + report = run_paper_pipeline(parse_expression(case["source"])) assert report.rendered == case["simplify_e_expr_python"] @@ -211,11 +170,15 @@ def test_add_comm_is_required_for_left_biased_factorization_path() -> None: expected = parse_expression("4 * ((x1 * x1) + (0.25 / ((x0 * x0) + 1)))") def bounded_schedule(basic_rules): - rewrite = param_eq_hegg.run(basic_rules | param_eq_hegg.fun_rules, scheduler=param_eq_hegg.scheduler) - round_sat = param_eq_hegg.analysis_schedule.saturate() + rewrite - return param_eq_hegg.scheduler.scope( - round_sat + round_sat + round_sat + round_sat + param_eq_hegg.analysis_schedule.saturate() + scheduler = back_off( + match_limit=param_eq_hegg.BACKOFF_MATCH_LIMIT, + ban_length=param_eq_hegg.BACKOFF_BAN_LENGTH, + fresh_rematch=True, + ).persistent() + round_sat = param_eq_hegg.run(basic_rules | param_eq_hegg.fun_rules, scheduler=scheduler) + ( + param_eq_hegg.analysis_schedule.saturate() ) + return scheduler.scope(round_sat + round_sat + round_sat + round_sat + param_eq_hegg.analysis_schedule.saturate()) no_add_comm_basic_rules = ( param_eq_hegg.basic_mul_comm_rules @@ -236,23 +199,21 @@ def bounded_schedule(basic_rules): with_add_comm.check(eq(source).to(expected)) -def test_reduced_pagie_second_pass_toy_reaches_haskell_form_in_both_modes() -> None: +def test_reduced_pagie_second_pass_toy_reaches_haskell_form() -> None: source = parse_expression("(-2.2516087483e-06) + (-0.009788252341175882 * ((x0 * x0) + 1))") haskell_expected = "(-0.009788252341175882 * (1.0002300317431365 + (x0 * x0)))" - baseline = run_paper_pipeline(source, mode="egglog-baseline") - literal = run_paper_pipeline(source, mode="egglog-haskell-literal") + baseline = run_paper_pipeline(source) assert baseline.rendered == haskell_expected - assert literal.rendered == haskell_expected - egraph, _ = param_eq_hegg._run_single_pass_haskell_literal_egraph(source) + egraph, _ = param_eq_hegg._run_single_pass_egraph(source) assert render_num(egraph.extract(source)) == haskell_expected def test_pagie_operon_15_matches_haskell_semantics_on_samples() -> None: case = next(case for case in GOLDEN_CASES if case["case_id"] == "pagie_operon_15") - observed = run_paper_pipeline(parse_expression(case["source"]), mode="egglog-baseline").extracted + observed = run_paper_pipeline(parse_expression(case["source"])).extracted expected = parse_expression(case["simplify_e_expr_python"]) samples = ( {"x0": -1.75, "x1": -1.25}, @@ -274,10 +235,7 @@ def test_pagie_operon_15_matches_haskell_semantics_on_samples() -> None: @pytest.mark.parametrize("case", GOLDEN_ANALYSIS_CASES, ids=lambda case: case["case_id"]) def test_golden_root_analysis_matches_haskell(case: dict[str, object]) -> None: expr = parse_expression(str(case["source"])) - egraph = EGraph() - egraph.register(expr) - - egraph.run(param_eq_hegg.total_ruleset) + egraph, _ = param_eq_hegg._run_single_pass_egraph(expr) egraph.check(eq(param_eq_hegg.const_value(expr)).to(_expected_analysis(case))) @@ -285,7 +243,7 @@ def test_golden_root_analysis_matches_haskell(case: dict[str, object]) -> None: def test_golden_rewrite_tree_reaches_haskell_form(case: dict[str, object]) -> None: expr = parse_expression(str(case["source"])) expected = parse_expression(str(case["rewrite_tree_expr_python"])) - egraph, _ = param_eq_hegg._run_single_pass_haskell_literal_egraph(expr) + egraph, _ = param_eq_hegg._run_single_pass_egraph(expr) egraph.check(eq(expr).to(expected)) @@ -293,7 +251,7 @@ def test_golden_rewrite_tree_reaches_haskell_form(case: dict[str, object]) -> No @pytest.mark.parametrize("case", GOLDEN_SIMPLIFY_CASES, ids=lambda case: case["case_id"]) def test_golden_simplify_e_matches_haskell(case: dict[str, object]) -> None: expr = parse_expression(str(case["source"])) - report = run_paper_pipeline(expr, mode="egglog-baseline") + report = run_paper_pipeline(expr) exact_form_case = case["category"] not in {"analysis", "guards", "corpus"} if case["compare_simplify_e_render"] and exact_form_case: diff --git a/python/egglog/exp/param_eq/test_trace.py b/python/egglog/exp/param_eq/test_trace.py deleted file mode 100644 index ff16b0b7..00000000 --- a/python/egglog/exp/param_eq/test_trace.py +++ /dev/null @@ -1,195 +0,0 @@ -"""Focused tests for the local param-eq trace and comparison harness.""" - -from __future__ import annotations - -import pytest - -from egglog import EGraph -from egglog.exp.param_eq.compare_trace import ( - REDUCED_TOY_CASE_ID, - REDUCED_TOY_SOURCE, - _compare_snapshots, - _known_case_sources, - compare_case_traces, - trace_and_compare_case, -) -from egglog.exp.param_eq.pipeline import analysis_schedule, parse_expression -from egglog.exp.param_eq.trace_egglog import trace_egglog_case -from egglog.exp.param_eq.trace_haskell import haskell_trace_available, trace_haskell_case -from egglog.exp.param_eq.trace_tables import SnapshotTables, build_egglog_snapshot, read_snapshot - - -def test_snapshot_adapter_is_deterministic_and_round_trips_to_pandas(tmp_path) -> None: - expr = parse_expression("x0 + 1") - first = EGraph(expr) - second = EGraph(expr) - first.run(analysis_schedule.saturate()) - second.run(analysis_schedule.saturate()) - - first_snapshot = build_egglog_snapshot( - first, - root=expr, - metadata={"system": "egglog", "case_id": "unit", "step": "outer_1_pass_start"}, - ) - second_snapshot = build_egglog_snapshot( - second, - root=expr, - metadata={"system": "egglog", "case_id": "unit", "step": "outer_1_pass_start"}, - ) - - assert first_snapshot.to_jsonable() == second_snapshot.to_jsonable() - path = tmp_path / "snapshot.json" - first_snapshot.write_json(path) - round_tripped = read_snapshot(path) - assert round_tripped.to_jsonable() == first_snapshot.to_jsonable() - frames = first_snapshot.to_pandas() - assert {"functions", "rows", "classes", "nodes", "root"} <= set(frames) - assert sum(len(frame.index) for frame in frames.values()) > 0 - - -def test_snapshot_adapter_records_num_class_analysis_and_best_expr() -> None: - expr = parse_expression("2 - 2") - egraph = EGraph(expr) - egraph.run(analysis_schedule.saturate()) - - snapshot = build_egglog_snapshot( - egraph, - root=expr, - metadata={"system": "egglog", "case_id": "unit", "step": "outer_1_pass_start"}, - ) - - class_rows = snapshot.tables["classes"] - assert class_rows - assert any(row["analysis"] == {"kind": "some", "value": 0.0} for row in class_rows) - assert all("best_expr" in row for row in class_rows) - assert all("signature" in row for row in class_rows) - - -def test_snapshot_adapter_prefers_concrete_optional_analysis_over_join_wrappers() -> None: - expr = parse_expression("((0 * x0) * ((x0 * x0) + 1))") - egraph = EGraph() - egraph.register(expr) - scheduler = egraph._add_backoff_scheduler( - match_limit=2500, - ban_length=30, - egg_like=True, - ) - egraph.run(analysis_schedule.saturate()) - from egglog.exp.param_eq.pipeline import literal_rewrite_ruleset - - egraph._run_ruleset_with_scheduler(literal_rewrite_ruleset, scheduler) - egraph.run(analysis_schedule.saturate()) - - snapshot = build_egglog_snapshot( - egraph, - root=expr, - metadata={"system": "egglog", "case_id": "unit", "step": "outer_1_inner_1_after_analysis"}, - ) - - assert all( - isinstance(row["analysis"], dict) and row["analysis"].get("kind") != "raw" - for row in snapshot.tables["classes"] - ) - - -def test_egglog_step_tracer_emits_expected_checkpoints(tmp_path) -> None: - result = trace_egglog_case(case_id="unit_trace_case", source="x0 + 1", output_root=tmp_path) - - step_names = [path.stem for path in result.step_paths] - assert step_names[0] == "outer_1_pass_start" - assert any(name.startswith("outer_1_inner_1_after_rewrite") for name in step_names) - assert any(name.startswith("outer_1_inner_1_after_analysis") for name in step_names) - assert "outer_1_extract" in step_names - assert "final_simplify_e" in step_names - - -@pytest.mark.skipif(not haskell_trace_available(), reason="requires local param-eq-haskell checkout and stack") -def test_haskell_trace_driver_emits_expected_checkpoints(tmp_path) -> None: - result = trace_haskell_case(case_id="unit_trace_case", source="x0 + 1", output_root=tmp_path) - - step_names = [path.stem for path in result.step_paths] - assert "outer_1_pass_start" in step_names - assert any(name.startswith("outer_1_inner_1_after_rebuild") for name in step_names) - assert "outer_1_extract" in step_names - assert "final_simplify_e" in step_names - - -def test_comparator_reports_no_difference_for_identical_snapshots() -> None: - snapshot = SnapshotTables( - metadata={ - "system": "egglog", - "case_id": "unit", - "step": "outer_1_extract", - "root_analysis": {"kind": "none", "value": None}, - "class_count": 1, - "node_count": 1, - "memo_size": 0, - }, - tables={ - "functions": [], - "rows": [], - "classes": [ - { - "class_id": "c0", - "type": "egglog.exp.param_eq.pipeline.Num", - "node_count": 1, - "analysis": {"kind": "none", "value": None}, - "best_expr": "1.0", - "best_cost": 1, - "signature": "none|best:1.0|Const(1.0)", - } - ], - "nodes": [ - {"node_id": "n0", "class_id": "c0", "op": "Num", "children": ["p0"], "cost": 1.0, "subsumed": False}, - {"node_id": "p0", "class_id": "f64-0", "op": "1.0", "children": [], "cost": 1.0, "subsumed": False}, - ], - "root": [{"extracted_expr": "1.0", "root_analysis": {"kind": "none", "value": None}}], - }, - ) - identical = SnapshotTables( - metadata={ - "system": "egglog", - "case_id": "unit", - "step": "outer_1_extract", - "root_analysis": {"kind": "none", "value": None}, - "class_count": 1, - "node_count": 1, - "memo_size": 0, - }, - tables=snapshot.tables, - ) - - assert _compare_snapshots(snapshot, identical) is None - - -@pytest.mark.skipif(not haskell_trace_available(), reason="requires local param-eq-haskell checkout and stack") -def test_reduced_toy_comparison_reports_a_first_differing_step(tmp_path) -> None: - summary = trace_and_compare_case( - case_id=REDUCED_TOY_CASE_ID, - source=REDUCED_TOY_SOURCE, - trace_root=tmp_path, - ) - - assert summary.first_differing_step is not None - assert summary.first_differing_step.startswith("outer_1_") - assert summary.first_differing_aspect is not None - assert summary.likely_phase in {"rewrite", "analysis"} - - -@pytest.mark.skipif(not haskell_trace_available(), reason="requires local param-eq-haskell checkout and stack") -def test_reduced_toy_comparison_can_ignore_extraction_differences(tmp_path) -> None: - trace_and_compare_case( - case_id=REDUCED_TOY_CASE_ID, - source=REDUCED_TOY_SOURCE, - trace_root=tmp_path, - ) - summary = compare_case_traces( - REDUCED_TOY_CASE_ID, - trace_root=tmp_path, - ignored_aspects=frozenset({"root_extracted_expr", "class_best_expr"}), - ) - - assert summary.first_differing_step is not None - assert summary.first_differing_aspect not in {"root_extracted_expr", "class_best_expr"} - assert summary.likely_phase in {"rewrite", "analysis"} - diff --git a/python/egglog/exp/param_eq/trace_egglog.py b/python/egglog/exp/param_eq/trace_egglog.py deleted file mode 100644 index dc19cc65..00000000 --- a/python/egglog/exp/param_eq/trace_egglog.py +++ /dev/null @@ -1,183 +0,0 @@ -"""Stepwise Egglog tracing for the retained param-eq Haskell-literal schedule.""" - -from __future__ import annotations - -from dataclasses import dataclass -from pathlib import Path - -from egglog import EGraph -from egglog.exp.param_eq.paths import PARAM_EQ_DIR -from egglog.exp.param_eq.pipeline import ( - BACKOFF_BAN_LENGTH, - BACKOFF_MATCH_LIMIT, - HASKELL_INNER_ITERATION_LIMIT, - MAX_PASSES, - _serialized_counts, - analysis_schedule, - literal_rewrite_ruleset, - parse_expression, - render_num, -) -from egglog.exp.param_eq.trace_tables import SnapshotTables, build_egglog_snapshot - -TRACE_ROOT = PARAM_EQ_DIR / "trace" - - -@dataclass(frozen=True) -class TraceResult: - """Filesystem outputs for one traced system and case.""" - - system: str - case_id: str - output_dir: Path - step_paths: list[Path] - final_rendered: str - - -def trace_egglog_case( - *, - case_id: str, - source: str, - output_root: Path = TRACE_ROOT, -) -> TraceResult: - """Trace the literal Haskell-style Egglog schedule step by step.""" - current = parse_expression(source) - output_dir = output_root / case_id / "egglog" - output_dir.mkdir(parents=True, exist_ok=True) - - step_paths: list[Path] = [] - for outer_pass in range(1, MAX_PASSES + 1): - egraph = EGraph() - egraph.register(current) - scheduler = egraph._add_backoff_scheduler( - match_limit=BACKOFF_MATCH_LIMIT, - ban_length=BACKOFF_BAN_LENGTH, - egg_like=True, - haskell_backoff=True, - ) - start_path = output_dir / f"outer_{outer_pass}_pass_start.json" - build_egglog_snapshot( - egraph, - root=current, - metadata={ - "system": "egglog", - "case_id": case_id, - "step": f"outer_{outer_pass}_pass_start", - "outer_pass": outer_pass, - "phase": "start", - "source": source, - "pass_input_expr": render_num(current), - }, - ).write_json(start_path) - step_paths.append(start_path) - - previous_counts = _serialized_counts(egraph) - for inner_iteration in range(1, HASKELL_INNER_ITERATION_LIMIT + 1): - rewrite_report = egraph._run_ruleset_with_scheduler(literal_rewrite_ruleset, scheduler) - rewrite_path = output_dir / f"outer_{outer_pass}_inner_{inner_iteration}_after_rewrite.json" - build_egglog_snapshot( - egraph, - root=current, - metadata={ - "system": "egglog", - "case_id": case_id, - "step": f"outer_{outer_pass}_inner_{inner_iteration}_after_rewrite", - "outer_pass": outer_pass, - "inner_iteration": inner_iteration, - "phase": "rewrite", - "source": source, - "pass_input_expr": render_num(current), - "rewrite_updated": rewrite_report.updated, - "rewrite_can_stop": rewrite_report.can_stop, - }, - ).write_json(rewrite_path) - step_paths.append(rewrite_path) - - analysis_report = egraph.run(analysis_schedule.saturate()) - analysis_snapshot = build_egglog_snapshot( - egraph, - root=current, - metadata={}, - ) - node_count = analysis_snapshot.metadata["node_count"] - class_count = analysis_snapshot.metadata["class_count"] - assert isinstance(node_count, int) - assert isinstance(class_count, int) - current_counts = ( - node_count, - class_count, - ) - size_stable = current_counts == previous_counts - analysis_path = output_dir / f"outer_{outer_pass}_inner_{inner_iteration}_after_analysis.json" - analysis_snapshot.metadata.update( - { - "system": "egglog", - "case_id": case_id, - "step": f"outer_{outer_pass}_inner_{inner_iteration}_after_analysis", - "outer_pass": outer_pass, - "inner_iteration": inner_iteration, - "phase": "analysis", - "source": source, - "pass_input_expr": render_num(current), - "rewrite_updated": rewrite_report.updated, - "analysis_updated": analysis_report.updated, - "size_stable": size_stable, - "rewrite_can_stop": rewrite_report.can_stop, - "analysis_can_stop": analysis_report.can_stop, - } - ) - analysis_snapshot.write_json(analysis_path) - step_paths.append(analysis_path) - if size_stable: - break - previous_counts = current_counts - - extract_path = output_dir / f"outer_{outer_pass}_extract.json" - snapshot = build_egglog_snapshot( - egraph, - root=current, - metadata={ - "system": "egglog", - "case_id": case_id, - "step": f"outer_{outer_pass}_extract", - "outer_pass": outer_pass, - "phase": "extraction", - "source": source, - "pass_input_expr": render_num(current), - }, - ) - snapshot.write_json(extract_path) - step_paths.append(extract_path) - extracted_expr = str(snapshot.metadata["root_extracted_expr"]) - if extracted_expr == render_num(current): - current = parse_expression(extracted_expr) - break - current = parse_expression(extracted_expr) - - final_snapshot = SnapshotTables( - metadata={ - "system": "egglog", - "case_id": case_id, - "step": "final_simplify_e", - "phase": "extraction", - "source": source, - "final_rendered": render_num(current), - }, - tables={ - "root": [ - { - "extracted_expr": render_num(current), - } - ], - }, - ) - final_path = output_dir / "final_simplify_e.json" - final_snapshot.write_json(final_path) - step_paths.append(final_path) - return TraceResult( - system="egglog", - case_id=case_id, - output_dir=output_dir, - step_paths=step_paths, - final_rendered=render_num(current), - ) diff --git a/python/egglog/exp/param_eq/trace_haskell.py b/python/egglog/exp/param_eq/trace_haskell.py deleted file mode 100644 index 8f18ff5a..00000000 --- a/python/egglog/exp/param_eq/trace_haskell.py +++ /dev/null @@ -1,312 +0,0 @@ -"""Stepwise Haskell tracing for the retained param-eq replication cases.""" - -from __future__ import annotations - -import os -import shutil -import subprocess -import tempfile -from pathlib import Path - -from egglog.exp.param_eq.generate_haskell_golden import _canonicalize, _parse_analysis, _source_to_haskell_expr -from egglog.exp.param_eq.paths import llvm_bin_dir, param_eq_data_dir -from egglog.exp.param_eq.trace_egglog import TRACE_ROOT, TraceResult -from egglog.exp.param_eq.trace_tables import JsonValue, SnapshotTables - -HASKELL_ROOT = param_eq_data_dir() - - -def haskell_trace_available() -> bool: - """Return whether the local Haskell tracing prerequisites are present.""" - return HASKELL_ROOT.exists() and shutil.which("stack") is not None - - -def _build_haskell_trace_program(source: str, *, outer_pass: int) -> str: - outer_prefix = f"outer_{outer_pass}" - return "\n".join([ - "{-# LANGUAGE BangPatterns #-}", - "{-# LANGUAGE BlockArguments #-}", - "{-# LANGUAGE FlexibleContexts #-}", - "{-# LANGUAGE LambdaCase #-}", - "{-# LANGUAGE ScopedTypeVariables #-}", - "{-# LANGUAGE TupleSections #-}", - "import Control.Monad ((<=<), forM_, when)", - "import Data.Bifunctor (first)", - "import qualified Data.IntMap.Strict as IM", - "import qualified Data.Set as S", - "import Data.List (intercalate)", - "import Data.SRTree", - "import Data.SRTree.Print", - "import FixTree", - "import qualified Data.Equality.Graph as G", - "import qualified Data.Equality.Graph.Lens as L", - "import Data.Equality.Graph.Lens hiding ((^.))", - "import Data.Equality.Graph.Monad", - "import Data.Equality.Graph.Nodes", - "import Data.Equality.Matching", - "import Data.Equality.Matching.Database", - "import Data.Equality.Extraction", - "import Data.Equality.Language", - "import Data.Equality.Saturation (Fix(..), Rewrite(..))", - "import Data.Equality.Saturation.Scheduler", - "", - f'outerPrefix :: String\nouterPrefix = "{outer_prefix}"', - "", - "sanitize :: String -> String", - "sanitize = map (\\c -> if c == '\\t' || c == '\\n' then ' ' else c)", - "", - "joinFields :: [String] -> String", - 'joinFields = intercalate "\\t" . map sanitize', - "", - "joinChildren :: [String] -> String", - 'joinChildren = intercalate "|" . map sanitize', - "", - "emitSnapshot :: String -> Int -> G.EGraph SRTreeF -> [String]", - "emitSnapshot step root egr =", - " let rootClass = G.find root egr", - " rootData = show (egr L.^. _class rootClass._data)", - " rootExtract = showDefault . relabelParams . toSRTree $ extractBest egr cost2 rootClass", - " classPairs = IM.toAscList (egr L.^. _classes)", - " nodeCount = sum [S.size (cls L.^. _nodes) | (_, cls) <- classPairs]", - " memoCount = sizeNM (egr L.^. _memo)", - ' metaLine = joinFields ["META", step, show rootClass, rootData, show (length classPairs), show nodeCount, show memoCount]', - ' rootLine = joinFields ["ROOT", step, show rootClass, rootData, rootExtract]', - " classLines =", - ' [ joinFields ["CLASS", step, show cid, show (cls L.^. _data), showDefault . relabelParams . toSRTree $ extractBest egr cost2 cid, show (S.size (cls L.^. _nodes))]', - " | (cid, cls) <- classPairs", - " ]", - " nodeLines =", - ' [ joinFields ["NODE", step, show cid, show node, show (operator node), joinChildren (map show (children node))]', - " | (cid, cls) <- classPairs", - " , node <- S.toList (cls L.^. _nodes)", - " ]", - ' memoLines = foldrWithKeyNM\' (\\node cid acc -> joinFields ["MEMO", step, show node, show cid] : acc) [] (egr L.^. _memo)', - " in metaLine : rootLine : classLines <> nodeLines <> memoLines", - "", - "scheduler :: BackoffScheduler", - "scheduler = BackoffScheduler 2500 30", - "", - "rewrites :: [Rewrite SRTreeF]", - "rewrites = rewritesBasic <> rewritesFun", - "", - "matchWithScheduler :: Database SRTreeF -> Int -> IM.IntMap (Stat BackoffScheduler) -> (Int, Rewrite SRTreeF) -> ([(Rewrite SRTreeF, Match)], IM.IntMap (Stat BackoffScheduler))", - "matchWithScheduler db i stats = \\case", - " (rwId, rw :| cnd) -> first (map (first (:| cnd))) $ matchWithScheduler db i stats (rwId, rw)", - " (rwId, lhs := rhs) ->", - " case IM.lookup rwId stats of", - " Just s | isBanned i s -> ([], stats)", - " x ->", - " let matches' = ematch db lhs", - " newStats = updateStats scheduler i rwId x stats matches'", - " in (map (lhs := rhs,) matches', newStats)", - "", - "applyMatchesRhs :: (Rewrite SRTreeF, Match) -> EGraphM SRTreeF ()", - "applyMatchesRhs = \\case", - " (rw :| cond, m@(Match subst _)) -> do", - " egr <- get", - " when (cond subst egr) $ applyMatchesRhs (rw, m)", - " (_ := VariablePattern v, Match subst eclass) ->", - " case IM.lookup v subst of", - ' Nothing -> error "impossible: couldn\'t find v in subst"', - " Just n -> do", - " _ <- merge n eclass", - " pure ()", - " (_ := NonVariablePattern rhs, Match subst eclass) -> do", - " eclass' <- reprPat subst rhs", - " _ <- merge eclass eclass'", - " pure ()", - "", - "reprPat :: Subst -> SRTreeF (Pattern SRTreeF) -> EGraphM SRTreeF Int", - "reprPat subst = add . Node <=< traverse \\case", - " VariablePattern v ->", - " case IM.lookup v subst of", - ' Nothing -> error "impossible: couldn\'t find v in subst?"', - " Just i -> pure i", - " NonVariablePattern p -> reprPat subst p", - "", - "traceLoop :: Int -> Int -> IM.IntMap (Stat BackoffScheduler) -> EGraphM SRTreeF [String]", - "traceLoop root i stats", - " | i > 30 = pure []", - " | otherwise = do", - " egr <- get", - " let (beforeMemo, beforeClasses) = (egr L.^. _memo, egr L.^. _classes)", - " db = eGraphToDatabase egr", - " (!matches, newStats) = mconcat (fmap (matchWithScheduler db i stats) (zip [1..] rewrites))", - " forM_ matches applyMatchesRhs", - " rebuild", - ' snapshot <- gets (emitSnapshot (outerPrefix <> "_inner_" <> show i <> "_after_rebuild") root)', - " (afterMemo, afterClasses) <- gets (\\g -> (g L.^. _memo, g L.^. _classes))", - " if sizeNM afterMemo == sizeNM beforeMemo && IM.size afterClasses == IM.size beforeClasses", - " then pure snapshot", - " else do", - " rest <- traceLoop root (i + 1) newStats", - " pure (snapshot <> rest)", - "", - "main :: IO ()", - "main = do", - f" let expr = toFixTree ({_source_to_haskell_expr(source)})", - " ((_, rows), _) = egraph $ do", - " root <- represent expr", - ' startRows <- gets (emitSnapshot (outerPrefix <> "_pass_start") root)', - " loopRows <- traceLoop root 1 mempty", - ' extractRows <- gets (emitSnapshot (outerPrefix <> "_extract") root)', - " pure (root, startRows <> loopRows <> extractRows)", - " mapM_ putStrLn rows", - "", - ]) - - -def _run_haskell_trace_pass(source: str, *, outer_pass: int) -> str: - program = _build_haskell_trace_program(source, outer_pass=outer_pass) - with tempfile.NamedTemporaryFile("w", suffix=".hs", delete=False) as handle: - handle.write(program) - temp_path = Path(handle.name) - try: - stack = shutil.which("stack") - if stack is None: - msg = "stack is required for Haskell tracing" - raise RuntimeError(msg) - env = dict(os.environ) - llvm_bin = llvm_bin_dir() - if llvm_bin is not None: - env["PATH"] = f"{llvm_bin}:{env['PATH']}" - return subprocess.check_output( - [stack, "exec", "--", "runghc", "-isrc", str(temp_path)], - cwd=HASKELL_ROOT, - env=env, - text=True, - timeout=300, - ) - finally: - temp_path.unlink(missing_ok=True) - - -def _rows_to_snapshots( - output: str, - *, - case_id: str, - source: str, -) -> dict[str, SnapshotTables]: - grouped: dict[str, dict[str, list[dict[str, JsonValue]]]] = {} - metadata_by_step: dict[str, dict[str, JsonValue]] = {} - for raw_line in output.splitlines(): - record = raw_line.split("\t") - kind, step = record[0], record[1] - grouped.setdefault(step, {"classes": [], "nodes": [], "memo": [], "root": [], "functions": [], "rows": []}) - metadata = metadata_by_step.setdefault( - step, - { - "system": "haskell", - "case_id": case_id, - "step": step, - "source": source, - }, - ) - if kind == "META": - metadata["root_class_id"] = record[2] - metadata["root_analysis"] = _parse_analysis(record[3]) - metadata["class_count"] = int(record[4]) - metadata["node_count"] = int(record[5]) - metadata["memo_size"] = int(record[6]) - continue - if kind == "ROOT": - root_expr = _canonicalize(record[4]) - analysis = _parse_analysis(record[3]) - metadata["root_class_id"] = record[2] - metadata["root_analysis"] = analysis - metadata["root_extracted_expr"] = root_expr - grouped[step]["root"].append({ - "root_class_id": record[2], - "root_analysis": analysis, - "extracted_expr": root_expr, - }) - continue - if kind == "CLASS": - grouped[step]["classes"].append({ - "class_id": record[2], - "analysis": _parse_analysis(record[3]), - "best_expr": _canonicalize(record[4]), - "node_count": int(record[5]), - }) - continue - if kind == "NODE": - grouped[step]["nodes"].append({ - "class_id": record[2], - "node_repr": record[3], - "op": record[4], - "children": [] if not record[5] else record[5].split("|"), - }) - continue - if kind == "MEMO": - grouped[step]["memo"].append({ - "node_repr": record[2], - "class_id": record[3], - }) - continue - msg = f"Unexpected Haskell trace line: {raw_line!r}" - raise ValueError(msg) - return {step: SnapshotTables(metadata=metadata_by_step[step], tables=tables) for step, tables in grouped.items()} - - -def trace_haskell_case( - *, - case_id: str, - source: str, - output_root: Path = TRACE_ROOT, -) -> TraceResult: - """Trace Haskell `rewriteTree`/`simplifyE` one pass at a time.""" - if not haskell_trace_available(): - msg = "Haskell tracing requires stack and a checked-out param-eq-haskell tree" - raise RuntimeError(msg) - - output_dir = output_root / case_id / "haskell" - output_dir.mkdir(parents=True, exist_ok=True) - step_paths: list[Path] = [] - current_source = source - final_rendered = source - for outer_pass in range(1, 3): - snapshots = _rows_to_snapshots( - _run_haskell_trace_pass(current_source, outer_pass=outer_pass), - case_id=case_id, - source=source, - ) - for step_name, snapshot in snapshots.items(): - step_path = output_dir / f"{step_name}.json" - snapshot.write_json(step_path) - step_paths.append(step_path) - extract_snapshot = snapshots[f"outer_{outer_pass}_extract"] - extract_rows = extract_snapshot.tables["root"] - assert extract_rows - final_rendered = str(extract_rows[0]["extracted_expr"]) - if final_rendered == _canonicalize(current_source): - current_source = final_rendered - break - current_source = final_rendered - - final_snapshot = SnapshotTables( - metadata={ - "system": "haskell", - "case_id": case_id, - "step": "final_simplify_e", - "phase": "extraction", - "source": source, - "final_rendered": final_rendered, - }, - tables={ - "root": [ - { - "extracted_expr": final_rendered, - } - ], - }, - ) - final_path = output_dir / "final_simplify_e.json" - final_snapshot.write_json(final_path) - step_paths.append(final_path) - return TraceResult( - system="haskell", - case_id=case_id, - output_dir=output_dir, - step_paths=step_paths, - final_rendered=final_rendered, - ) diff --git a/python/egglog/exp/param_eq/trace_tables.py b/python/egglog/exp/param_eq/trace_tables.py deleted file mode 100644 index 1720918c..00000000 --- a/python/egglog/exp/param_eq/trace_tables.py +++ /dev/null @@ -1,351 +0,0 @@ -"""Local e-graph snapshot helpers for stepwise param-eq trace comparisons.""" - -from __future__ import annotations - -import json -from dataclasses import dataclass -from pathlib import Path -from typing import Any, TypeAlias, cast - -import pandas as pd - -from egglog import EGraph, bindings -from egglog.declarations import ( - CallDecl, - ClassMethodRef, - ClassVariableRef, - FunctionRef, - InitRef, - LitDecl, - MethodRef, - TypedExprDecl, - ValueDecl, -) -from egglog.pretty import JustTypeRef -from egglog.egraph import _CostModel, default_cost_model -from egglog.exp.param_eq.pipeline import Num, const_value, render_num - -JsonValue: TypeAlias = object - -NUM_SORT = "egglog.exp.param_eq.pipeline.Num" -OPTIONAL_F64_SORT = "OptionalF64" - - -@dataclass(frozen=True) -class SnapshotTables: - """One trace snapshot serialized as metadata plus table-shaped records.""" - - metadata: dict[str, JsonValue] - tables: dict[str, list[dict[str, JsonValue]]] - - def to_pandas(self) -> dict[str, pd.DataFrame]: - """Return the stored table records as pandas data frames.""" - return {name: pd.DataFrame(rows) for name, rows in self.tables.items()} - - def to_jsonable(self) -> dict[str, JsonValue]: - """Return a JSON-serializable payload.""" - return { - "metadata": self.metadata, - "tables": self.tables, - } - - def write_json(self, path: Path) -> None: - """Write the snapshot payload to one JSON file.""" - path.parent.mkdir(parents=True, exist_ok=True) - path.write_text(json.dumps(self.to_jsonable(), indent=2, sort_keys=False) + "\n") - - -def _analysis_to_json(text: str) -> dict[str, JsonValue]: - if text in {"Nothing", "OptionalF64.none"}: - return {"kind": "none", "value": None} - if text.startswith("Just "): - value_text = text.removeprefix("Just ").strip() - elif text.startswith("OptionalF64.some(") and text.endswith(")"): - value_text = text.removeprefix("OptionalF64.some(")[:-1].strip() - else: - return {"kind": "raw", "value": text} - return {"kind": "some", "value": float(value_text)} - - -def _analysis_key(value: object) -> str: - if isinstance(value, dict): - kind = value.get("kind") - if kind == "none": - return "none" - if kind == "some": - return f"some:{float(value['value']):.12g}" - return json.dumps(value, sort_keys=True) - - -def _canonical_numeric(value: object) -> str: - text = str(value).strip() - if text.startswith("(") and text.endswith(")"): - text = text[1:-1].strip() - try: - return str(float(text)) - except ValueError: - return text - - -def _optional_exprs_to_analysis(exprs: tuple[CallDecl, ...]) -> dict[str, JsonValue]: - if not exprs: - return {"kind": "raw", "value": "[]"} - raw_fallback = str(exprs[0]) - for expr in exprs: - match expr: - case CallDecl(callable=ClassVariableRef(var_name="none"), args=()): - return {"kind": "none", "value": None} - case CallDecl(callable=ClassMethodRef(method_name="some"), args=(TypedExprDecl(expr=LitDecl(value=value)),)): - if isinstance(value, (int, float, str)) and not isinstance(value, bool): - return {"kind": "some", "value": float(value)} - return {"kind": "raw", "value": raw_fallback} - - -def _extract_best_by_value(egraph: EGraph, *, value: bindings.Value, tp: JustTypeRef) -> tuple[str, int]: - egg_sort = egraph._state.type_ref_to_egg(tp) - cost_model = _CostModel(default_cost_model, egraph).to_bindings_cost_model() - extractor = cast(Any, bindings.Extractor([egg_sort], egraph._state.egraph, cost_model)) - termdag = bindings.TermDag() - cost, term = extractor.extract_best(egraph._state.egraph, termdag, value, egg_sort) - extracted = egraph._from_termdag(termdag, term, tp) - return render_num(extracted), int(cost) - - -def _num_class_signatures( - *, - num_exprs_by_value: dict[str, tuple[CallDecl, ...]], - num_analysis_by_value: dict[str, dict[str, JsonValue]], - num_best_by_value: dict[str, str], -) -> tuple[dict[str, str], dict[str, str]]: - cache: dict[str, str] = {} - semantic_cache: dict[str, str] = {} - active: set[str] = set() - - def class_signature(class_id: str, *, include_best_expr: bool) -> str: - current_cache = cache if include_best_expr else semantic_cache - if class_id in current_cache: - return current_cache[class_id] - if class_id in active: - return f"Cycle({class_id})" - active.add(class_id) - exprs = num_exprs_by_value[class_id] - analysis = num_analysis_by_value.get(class_id, {"kind": "none", "value": None}) - members = sorted(member_signature(expr, include_best_expr=include_best_expr) for expr in exprs) - prefix = f"{_analysis_key(analysis)}|" - if include_best_expr: - best_expr = num_best_by_value.get(class_id, "") - prefix = f"{prefix}best:{best_expr}|" - signature = f"{prefix}{'||'.join(members)}" - current_cache[class_id] = signature - active.remove(class_id) - return signature - - def arg_signature(arg: TypedExprDecl) -> str: - match arg.expr: - case ValueDecl(value): - return class_signature(str(value), include_best_expr=current_include_best_expr) - case LitDecl(value): - if isinstance(value, str): - return f'"{value}"' - return _canonical_numeric(value) - case CallDecl() as call: - return member_signature(call, include_best_expr=current_include_best_expr) - case _: - return str(arg.expr) - - def member_signature(call: CallDecl, *, include_best_expr: bool) -> str: # noqa: C901, PLR0911 - match call.callable: - case InitRef(ident=ident) if ident.name == "Num": - return f"Const({arg_signature(call.args[0])})" - case ClassMethodRef(ident=ident, method_name="var") if ident.name == "Num": - return f"Var({arg_signature(call.args[0]).strip('\"')})" - case MethodRef(ident=ident, method_name="__add__") if ident.name == "Num": - return f"Add({arg_signature(call.args[0])},{arg_signature(call.args[1])})" - case MethodRef(ident=ident, method_name="__sub__") if ident.name == "Num": - return f"Sub({arg_signature(call.args[0])},{arg_signature(call.args[1])})" - case MethodRef(ident=ident, method_name="__mul__") if ident.name == "Num": - return f"Mul({arg_signature(call.args[0])},{arg_signature(call.args[1])})" - case MethodRef(ident=ident, method_name="__truediv__") if ident.name == "Num": - return f"Div({arg_signature(call.args[0])},{arg_signature(call.args[1])})" - case MethodRef(ident=ident, method_name="__pow__") if ident.name == "Num": - return f"Pow({arg_signature(call.args[0])},{arg_signature(call.args[1])})" - case MethodRef(ident=ident, method_name="exp") if ident.name == "Num": - return f"Exp({arg_signature(call.args[0])})" - case MethodRef(ident=ident, method_name="log") if ident.name == "Num": - return f"Log({arg_signature(call.args[0])})" - case MethodRef(ident=ident, method_name="sqrt") if ident.name == "Num": - return f"Sqrt({arg_signature(call.args[0])})" - case MethodRef(ident=ident, method_name="__abs__") if ident.name == "Num": - return f"Abs({arg_signature(call.args[0])})" - case _: - callable_name = ( - call.callable.method_name - if isinstance(call.callable, (MethodRef, ClassMethodRef)) - else call.callable.ident.name - if hasattr(call.callable, "ident") - else str(call.callable) - ) - return f"{callable_name}({','.join(arg_signature(arg) for arg in call.args)})" - - current_include_best_expr = True - with_best = {} - for class_id in sorted(num_exprs_by_value): - current_include_best_expr = True - with_best[class_id] = class_signature(class_id, include_best_expr=True) - without_best = {} - for class_id in sorted(num_exprs_by_value): - current_include_best_expr = False - without_best[class_id] = class_signature(class_id, include_best_expr=False) - return ( - with_best, - without_best, - ) - - -def build_egglog_snapshot( - egraph: EGraph, - *, - root: Num, - metadata: dict[str, JsonValue], -) -> SnapshotTables: - """Build a comparable local trace snapshot from an Egglog e-graph.""" - frozen = egraph._egraph.freeze() - frozen_decl = egraph.freeze().decl - payload = json.loads(egraph._serialize().to_json()) - - functions: list[dict[str, JsonValue]] = [] - rows: list[dict[str, JsonValue]] = [] - for function_name, function in frozen.functions.items(): - input_sorts = [str(sort) for sort in function.input_sorts] - functions.append({ - "function_name": function_name, - "input_sorts": input_sorts, - "output_sort": function.output_sort, - "is_let_binding": function.is_let_binding, - "row_count": len(function.rows), - }) - for row_index, row in enumerate(function.rows, start=1): - rows.append({ - "function_name": function_name, - "row_index": row_index, - "subsumed": row.subsumed, - "inputs": [str(value) for value in row.inputs], - "output": str(row.output), - }) - - node_counts_by_class: dict[str, int] = {} - for node in payload.get("nodes", {}).values(): - eclass = str(node["eclass"]) - node_counts_by_class[eclass] = node_counts_by_class.get(eclass, 0) + 1 - - optional_analysis_by_value = { - str(value): _optional_exprs_to_analysis(exprs) - for value, (tp, exprs) in frozen_decl.e_classes.items() - if str(tp) == OPTIONAL_F64_SORT - } - num_analysis_by_value: dict[str, dict[str, JsonValue]] = {} - for call, out in frozen_decl.sets.items(): - match call: - case CallDecl( - callable=FunctionRef(ident=ident), - args=(TypedExprDecl(expr=ValueDecl(value=num_value)),), - ) if ident.name == "const_value": - match out.expr: - case ValueDecl(value=analysis_value): - num_analysis_by_value[str(num_value)] = optional_analysis_by_value.get( - str(analysis_value), - {"kind": "raw", "value": str(out)}, - ) - case _: - num_analysis_by_value[str(num_value)] = {"kind": "raw", "value": str(out)} - - num_exprs_by_value = { - str(value): exprs - for value, (tp, exprs) in frozen_decl.e_classes.items() - if str(tp) == "Num" - } - num_best_by_value: dict[str, str] = {} - num_cost_by_value: dict[str, int] = {} - for value, (tp, _) in frozen_decl.e_classes.items(): - if str(tp) != "Num": - continue - best_expr, best_cost = _extract_best_by_value(egraph, value=value, tp=tp) - num_best_by_value[str(value)] = best_expr - num_cost_by_value[str(value)] = best_cost - num_signatures_by_value, num_semantic_signatures_by_value = _num_class_signatures( - num_exprs_by_value=num_exprs_by_value, - num_analysis_by_value=num_analysis_by_value, - num_best_by_value=num_best_by_value, - ) - - classes = [ - { - "class_id": str(value), - "type": str(tp), - "node_count": len(exprs), - "analysis": num_analysis_by_value.get(str(value), {"kind": "none", "value": None}), - "best_expr": num_best_by_value[str(value)], - "best_cost": num_cost_by_value[str(value)], - "semantic_signature": num_semantic_signatures_by_value[str(value)], - "signature": num_signatures_by_value[str(value)], - } - for value, (tp, exprs) in frozen_decl.e_classes.items() - if str(tp) == "Num" - ] - - nodes = [ - { - "node_id": node_id, - "class_id": str(node["eclass"]), - "op": str(node["op"]), - "children": [str(child) for child in node.get("children", [])], - "cost": float(node["cost"]), - "subsumed": bool(node["subsumed"]), - } - for node_id, node in payload.get("nodes", {}).items() - ] - - extracted, extracted_cost = egraph.extract(root, include_cost=True) - try: - root_analysis = str(egraph.extract(const_value(root))) - except Exception: - root_analysis = "OptionalF64.none" - root_rows = [ - { - "root_expr": render_num(root), - "extracted_expr": render_num(extracted), - "extracted_cost": int(extracted_cost), - "root_analysis": _analysis_to_json(root_analysis), - } - ] - - snapshot_metadata = { - **metadata, - "class_count": len(classes), - "node_count": sum(cast(int, class_row["node_count"]) for class_row in classes), - "serialized_class_count": len(payload.get("class_data", {})), - "serialized_node_count": len(payload.get("nodes", {})), - "root_analysis": _analysis_to_json(root_analysis), - "root_extracted_expr": render_num(extracted), - "root_extracted_cost": int(extracted_cost), - } - return SnapshotTables( - metadata=snapshot_metadata, - tables={ - "functions": functions, - "rows": rows, - "classes": classes, - "nodes": nodes, - "root": root_rows, - }, - ) - - -def read_snapshot(path: Path) -> SnapshotTables: - """Read one snapshot JSON file back into the local data class.""" - payload = json.loads(path.read_text()) - metadata = payload["metadata"] - tables = payload["tables"] - assert isinstance(metadata, dict) - assert isinstance(tables, dict) - return SnapshotTables(metadata=metadata, tables=tables) diff --git a/python/egglog/pretty.py b/python/egglog/pretty.py index 5cb28c84..6dc41971 100644 --- a/python/egglog/pretty.py +++ b/python/egglog/pretty.py @@ -197,7 +197,7 @@ def __call__(self, decl: AllDecls, toplevel: bool = False) -> None: # noqa: C90 self(rhs) case LetDecl(_, d) | ExprActionDecl(d) | ExprFactDecl(d): self(d.expr) - case ChangeDecl(_, d, _) | SaturateDecl(d, _) | RepeatDecl(d, _) | ActionCommandDecl(d): + case ChangeDecl(_, d, _) | SaturateDecl(d) | RepeatDecl(d, _) | ActionCommandDecl(d): self(d) case PanicDecl(_) | UnboundVarDecl(_) | LetRefDecl(_) | LitDecl(_) | PyObjectDecl(_): pass @@ -360,9 +360,8 @@ def uncached( # noqa: C901, PLR0911, PLR0912 if ruleset_ident: list_args.append(f"name={ruleset_ident.name!r})") return (f"unstable_combine_rulesets({', '.join(list_args)})", "combined_ruleset") - case SaturateDecl(schedule, stop_when_no_updates): - suffix = ".saturate(stop_when_no_updates=True)" if stop_when_no_updates else ".saturate()" - return f"{self(schedule, parens=True)}{suffix}", "schedule" + case SaturateDecl(schedule): + return f"{self(schedule, parens=True)}.saturate()", "schedule" case RepeatDecl(schedule, times): return f"{self(schedule, parens=True)} * {times}", "schedule" case SequenceDecl(schedules): @@ -384,15 +383,18 @@ def uncached( # noqa: C901, PLR0911, PLR0912 case DefaultRewriteDecl(): msg = "default rewrites should not be pretty printed" raise TypeError(msg) - case BackOffDecl(_, match_limit, ban_length, egg_like): + case BackOffDecl(_, match_limit, ban_length, fresh_rematch, persistent): list_args = [] if match_limit is not None: list_args.append(f"match_limit={match_limit}") if ban_length is not None: list_args.append(f"ban_length={ban_length}") - if egg_like: - list_args.append("egg_like=True") - return f"back_off({', '.join(list_args)})", "scheduler" + if fresh_rematch: + list_args.append("fresh_rematch=True") + rendered = f"back_off({', '.join(list_args)})" + if persistent: + rendered += ".persistent()" + return rendered, "scheduler" case ValueDecl(value): return str(value), "value" case DummyDecl(): diff --git a/python/tests/test_high_level.py b/python/tests/test_high_level.py index 00c4b0d5..bb95e713 100644 --- a/python/tests/test_high_level.py +++ b/python/tests/test_high_level.py @@ -1234,7 +1234,7 @@ def _run_and_collect(schedule: Schedule) -> set[int]: assert implicit_values == explicit_values == {-3, -2, -1, 0, 1, 2} - def test_backoff_scheduler_egg_like_flag_changes_match_frontier(self): + def test_backoff_scheduler_fresh_rematch_flag_changes_match_frontier(self): r = relation("R", i64) s = relation("S", i64) seed = relation("Seed") @@ -1243,10 +1243,10 @@ def test_backoff_scheduler_egg_like_flag_changes_match_frontier(self): copy = ruleset(rule(r(x)).then(s(x)), name="copy") grow = ruleset(rule(seed()).then(r(i64(3))), name="grow") - def _run_and_collect(*, egg_like: bool) -> set[int]: + def _run_and_collect(*, fresh_rematch: bool) -> set[int]: egraph = EGraph() egraph.register(r(i64(0)), r(i64(1)), r(i64(2)), seed()) - bo = back_off(match_limit=2, ban_length=2, egg_like=egg_like) + bo = back_off(match_limit=2, ban_length=2, fresh_rematch=fresh_rematch) schedule = bo.scope(seq(run(copy, scheduler=bo), run(grow), run(copy, scheduler=bo))) egraph.run(schedule) values = set() @@ -1258,10 +1258,10 @@ def _run_and_collect(*, egg_like: bool) -> set[int]: pass return values - assert _run_and_collect(egg_like=False) == {0, 1, 2} - assert _run_and_collect(egg_like=True) == {0, 1, 2, 3} + assert _run_and_collect(fresh_rematch=False) == {0, 1, 2} + assert _run_and_collect(fresh_rematch=True) == {0, 1, 2, 3} - def test_bound_scheduler_handle_reuses_state_across_runs(self): + def test_persistent_scheduler_reuses_state_across_runs(self): r = relation("R", i64) s = relation("S", i64) seed = relation("Seed") @@ -1270,13 +1270,13 @@ def test_bound_scheduler_handle_reuses_state_across_runs(self): copy = ruleset(rule(r(x)).then(s(x)), name="copy") grow = ruleset(rule(seed()).then(r(i64(3))), name="grow") - def _run_and_collect(*, egg_like: bool) -> set[int]: + def _run_and_collect(*, fresh_rematch: bool) -> set[int]: egraph = EGraph() egraph.register(r(i64(0)), r(i64(1)), r(i64(2)), seed()) - scheduler = egraph._add_backoff_scheduler(match_limit=2, ban_length=2, egg_like=egg_like) - egraph._run_ruleset_with_scheduler(copy, scheduler) + scheduler = back_off(match_limit=2, ban_length=2, fresh_rematch=fresh_rematch).persistent() + egraph.run(run(copy, scheduler=scheduler)) egraph.run(run(grow)) - egraph._run_ruleset_with_scheduler(copy, scheduler) + egraph.run(run(copy, scheduler=scheduler)) values = set() for i in range(4): try: @@ -1286,54 +1286,8 @@ def _run_and_collect(*, egg_like: bool) -> set[int]: pass return values - assert _run_and_collect(egg_like=False) == {0, 1, 2} - assert _run_and_collect(egg_like=True) == {0, 1, 2, 3} - - def test_bound_scheduler_handle_haskell_backoff_counts_tuple_width(self): - src = relation("src", i64, i64, i64) - dst = relation("dst", i64, i64, i64) - x = var("x", i64) - y = var("y", i64) - z = var("z", i64) - - copy = ruleset(rule(src(x, y, z)).then(dst(x, y, z))) - - def _run_and_collect(*, haskell_backoff: bool) -> set[int]: - egraph = EGraph() - egraph.register(src(i64(1), i64(2), i64(3))) - scheduler = egraph._add_backoff_scheduler( - match_limit=2, - ban_length=2, - egg_like=False, - haskell_backoff=haskell_backoff, - ) - egraph._run_ruleset_with_scheduler(copy, scheduler) - values = set() - for i in range(3): - try: - egraph.check(dst(i64(1), i64(2), i64(3))) - values.add(i) - except EggSmolError: - pass - return values - - assert _run_and_collect(haskell_backoff=False) == {0, 1, 2} - assert _run_and_collect(haskell_backoff=True) == set() - - def test_bound_scheduler_handle_is_scoped_to_one_egraph(self): - rel = relation("rel", i64) - x = var("x", i64) - noop = ruleset(rule(rel(x)).then(rel(x))) - - first = EGraph() - first.register(rel(i64(1))) - scheduler = first._add_backoff_scheduler(match_limit=1, ban_length=1, egg_like=True) - - second = EGraph() - second.register(rel(i64(1))) - - with pytest.raises(RuntimeError, match="different EGraph"): - second._run_ruleset_with_scheduler(noop, scheduler) + assert _run_and_collect(fresh_rematch=False) == {0, 1, 2} + assert _run_and_collect(fresh_rematch=True) == {0, 1, 2, 3} def test_custom_scheduler_invalid_until(self): """ @@ -1355,22 +1309,6 @@ def test_custom_scheduler_invalid_until(self): with pytest.raises(ValueError, match="Can only have one until fact with custom scheduler"): egraph.run(run(r, rel(i64(0)), rel(i64(1)), scheduler=bo)) - def test_custom_scheduler_saturate_can_stop_and_stop_when_no_updates(self): - rel = relation("rel", i64) - x = var("x", i64) - noop = ruleset(rule(rel(x)).then(rel(x))) - bo = back_off(match_limit=1, ban_length=3) - - egraph = EGraph() - egraph.register(rel(i64(1)), rel(i64(2)), rel(i64(3)), rel(i64(4))) - - report = egraph.run(bo.scope(run(noop, scheduler=bo).saturate(stop_when_no_updates=True))) - - assert not report.updated - assert not report.can_stop - egraph.check(rel(i64(1)), rel(i64(2)), rel(i64(3)), rel(i64(4))) - - @function def ff(x: i64Like, y: i64Like) -> E: ... diff --git a/python/tests/test_pretty.py b/python/tests/test_pretty.py index 01aa69ed..ebae004c 100644 --- a/python/tests/test_pretty.py +++ b/python/tests/test_pretty.py @@ -127,7 +127,8 @@ def my_very_long_function_name() -> A: ... r = ruleset(name="r") bo = back_off(ban_length=5) -bo_egg = back_off(ban_length=5, egg_like=True) +bo_fresh = back_off(ban_length=5, fresh_rematch=True) +bo_persistent = back_off(ban_length=5).persistent() class BadRepr: @@ -223,11 +224,6 @@ def __repr__(self) -> str: # Schedules pytest.param(r, 'ruleset(name="r")', id="ruleset with name"), pytest.param(r.saturate(), 'ruleset(name="r").saturate()', id="saturate"), - pytest.param( - r.saturate(stop_when_no_updates=True), - 'ruleset(name="r").saturate(stop_when_no_updates=True)', - id="saturate stop_when_no_updates", - ), pytest.param(r * 10, 'ruleset(name="r") * 10', id="repeat"), pytest.param(r + r, 'ruleset(name="r") + ruleset(name="r")', id="sequence"), pytest.param(seq(r, r, r), 'seq(ruleset(name="r"), ruleset(name="r"), ruleset(name="r"))', id="seq"), @@ -242,12 +238,13 @@ def __repr__(self) -> str: '_scheduler_1 = back_off(ban_length=5)\n_scheduler_1.scope(run(ruleset(name="r"), scheduler=_scheduler_1))', id="scoped scheduler", ), - pytest.param(bo_egg, "back_off(ban_length=5, egg_like=True)", id="egg-like scheduler"), + pytest.param(bo_fresh, "back_off(ban_length=5, fresh_rematch=True)", id="fresh-rematch scheduler"), pytest.param( - run(r, h(), scheduler=bo_egg), - 'run(ruleset(name="r"), h(), scheduler=back_off(ban_length=5, egg_like=True))', - id="run with egg-like scheduler", + run(r, h(), scheduler=bo_fresh), + 'run(ruleset(name="r"), h(), scheduler=back_off(ban_length=5, fresh_rematch=True))', + id="run with fresh-rematch scheduler", ), + pytest.param(bo_persistent, "back_off(ban_length=5).persistent()", id="persistent scheduler"), # Functions pytest.param(f, "f", id="function"), pytest.param(A().method, "A().method", id="method"), diff --git a/src/egraph.rs b/src/egraph.rs index a7796e1a..6c8a8715 100644 --- a/src/egraph.rs +++ b/src/egraph.rs @@ -4,9 +4,6 @@ use crate::conversions::*; use crate::error::{EggResult, WrappedError}; use crate::freeze::FrozenEGraph; use crate::py_object_sort::{PyObjectSort, PyPickledValue, load}; -use crate::scheduler_handle::{ - SchedulerHandle, backlog_backoff, fresh_backoff, next_scheduler_owner_id, -}; use crate::serialize::SerializedEGraph; use crate::tracing_otel; @@ -25,9 +22,8 @@ use std::path::PathBuf; /// Create an empty EGraph. #[pyclass(unsendable)] pub struct EGraph { - pub(crate) egraph: egglog::EGraph, + pub(crate) egraph: egglog_experimental::ExperimentalEGraph, cmds: Option, - owner_id: usize, } #[pymethods] @@ -42,7 +38,6 @@ impl EGraph { Self { egraph, cmds: if record { Some(String::new()) } else { None }, - owner_id: next_scheduler_owner_id(), } } @@ -105,53 +100,6 @@ impl EGraph { self.cmds.clone() } - #[pyo3(signature = (match_limit, ban_length, *, egg_like=false, haskell_backoff=false))] - fn add_backoff_scheduler( - &mut self, - match_limit: usize, - ban_length: usize, - egg_like: bool, - haskell_backoff: bool, - ) -> SchedulerHandle { - let scheduler_id = if egg_like { - self.egraph - .add_fresh_scheduler(fresh_backoff(match_limit, ban_length, haskell_backoff)) - } else { - self.egraph - .add_scheduler(backlog_backoff(match_limit, ban_length, haskell_backoff)) - }; - SchedulerHandle::new(self.owner_id, scheduler_id) - } - - #[pyo3(signature = (ruleset, scheduler, *, traceparent=None, tracestate=None))] - fn run_ruleset_with_scheduler( - &mut self, - py: Python<'_>, - ruleset: &str, - scheduler: &SchedulerHandle, - traceparent: Option, - tracestate: Option, - ) -> EggResult { - if scheduler.owner_id != self.owner_id { - return Err(WrappedError::Py(pyo3::exceptions::PyRuntimeError::new_err( - "SchedulerHandle belongs to a different EGraph", - ))); - } - let _context_guard = - tracing_otel::attach_parent_context(traceparent.as_deref(), tracestate.as_deref()); - let span = tracing::info_span!( - "bindings.run_ruleset_with_scheduler", - ruleset = tracing::field::display(ruleset) - ); - let _entered = span.enter(); - let scheduler_id = scheduler.scheduler_id; - let res = py.detach(|| self.egraph.step_rules_with_scheduler(scheduler_id, ruleset)); - if let Some(err) = PyErr::take(py) { - return Err(WrappedError::Py(err)); - } - res.map(Into::into).map_err(WrappedError::Egglog) - } - /// Serialize the EGraph to a SerializedEGraph object. #[pyo3( signature = (root_eclasses, *, max_functions=None, max_calls_per_function=None, include_temporary_functions=false, traceparent=None, tracestate=None), diff --git a/src/lib.rs b/src/lib.rs index 69cf01a9..7590ddc7 100644 --- a/src/lib.rs +++ b/src/lib.rs @@ -4,7 +4,6 @@ mod error; mod extract; mod freeze; mod py_object_sort; -mod scheduler_handle; mod serialize; mod termdag; mod tracing_otel; @@ -45,7 +44,6 @@ fn bindings(m: &Bound<'_, PyModule>) -> PyResult<()> { m.add_class::()?; m.add_class::()?; - m.add_class::()?; m.add_class::()?; m.add_class::()?; m.add_class::()?; diff --git a/src/scheduler_handle.rs b/src/scheduler_handle.rs deleted file mode 100644 index 375ca397..00000000 --- a/src/scheduler_handle.rs +++ /dev/null @@ -1,233 +0,0 @@ -use std::collections::HashMap; -use std::sync::atomic::{AtomicUsize, Ordering}; - -use egglog::scheduler::{FreshScheduler, Matches, Scheduler, SchedulerId}; -use log::{debug, info}; -use pyo3::prelude::*; - -static NEXT_SCHEDULER_OWNER_ID: AtomicUsize = AtomicUsize::new(1); - -pub(crate) fn next_scheduler_owner_id() -> usize { - NEXT_SCHEDULER_OWNER_ID.fetch_add(1, Ordering::Relaxed) -} - -#[pyclass(frozen)] -#[derive(Clone)] -pub struct SchedulerHandle { - pub(crate) owner_id: usize, - pub(crate) scheduler_id: SchedulerId, -} - -impl SchedulerHandle { - pub(crate) fn new(owner_id: usize, scheduler_id: SchedulerId) -> Self { - Self { - owner_id, - scheduler_id, - } - } -} - -#[pymethods] -impl SchedulerHandle { - fn __repr__(&self) -> String { - "SchedulerHandle(...)".to_string() - } -} - -pub(crate) fn backlog_backoff( - match_limit: usize, - ban_length: usize, - haskell_backoff: bool, -) -> Box { - Box::new(BackOffScheduler { - state: BackOffState::new(match_limit, ban_length, haskell_backoff), - }) -} - -pub(crate) fn fresh_backoff( - match_limit: usize, - ban_length: usize, - haskell_backoff: bool, -) -> Box { - Box::new(BackOffEggScheduler { - state: BackOffState::new(match_limit, ban_length, haskell_backoff), - }) -} - -#[derive(Debug, Clone)] -struct BackOffState { - default_match_limit: usize, - default_ban_length: usize, - haskell_backoff: bool, - stats: HashMap, -} - -#[derive(Debug, Clone)] -struct RuleStats { - iteration: usize, - times_applied: usize, - banned_until: usize, - times_banned: usize, - match_limit: usize, - ban_length: usize, -} - -impl BackOffState { - fn new(default_match_limit: usize, default_ban_length: usize, haskell_backoff: bool) -> Self { - Self { - default_match_limit, - default_ban_length, - haskell_backoff, - stats: HashMap::new(), - } - } - - fn get_stats(&mut self, rule: String) -> &mut RuleStats { - self.stats.entry(rule).or_insert_with(|| RuleStats { - times_applied: 0, - banned_until: 0, - times_banned: 0, - match_limit: self.default_match_limit, - ban_length: self.default_ban_length, - iteration: 0, - }) - } - - fn can_stop(&mut self, rules: &[&str]) -> bool { - let stats = &mut self.stats; - let n_stats = stats.len(); - - let mut banned: Vec<(&str, RuleStats)> = rules - .iter() - .filter_map(|rule| { - let s = stats.remove(*rule).unwrap(); - if s.banned_until > s.iteration { - Some((*rule, s)) - } else { - None - } - }) - .collect(); - - let result = if banned.is_empty() { - true - } else { - let min_delta = banned - .iter() - .map(|(_, s)| { - assert!(s.banned_until >= s.iteration); - s.banned_until - s.iteration - }) - .min() - .expect("banned cannot be empty here"); - - let mut unbanned = vec![]; - for (name, s) in &mut banned { - s.banned_until -= min_delta; - if s.banned_until == s.iteration { - unbanned.push(*name); - } - } - - assert!(!unbanned.is_empty()); - info!( - "Banned {}/{}, fast-forwarded by {} to unban {}", - banned.len(), - n_stats, - min_delta, - unbanned.join(", "), - ); - - false - }; - - for (rule, s) in banned { - stats.insert(rule.to_owned(), s); - } - - result - } - - fn should_search(&mut self, rule: &str) -> bool { - let stats = self.get_stats(rule.to_owned()); - stats.iteration += 1; - - if stats.iteration < stats.banned_until { - debug!( - "Skipping {} ({}-{}), banned until {}...", - rule, stats.times_applied, stats.times_banned, stats.banned_until, - ); - false - } else { - true - } - } - - fn choose_or_ban(&mut self, rule: &str, matches: &mut Matches) -> bool { - let haskell_backoff = self.haskell_backoff; - let stats = self.get_stats(rule.to_owned()); - let threshold = stats - .match_limit - .checked_shl(stats.times_banned as u32) - .unwrap(); - // Haskell's backoff scheduler counts substitution width, not just the - // number of matched tuples. - let total_len = if haskell_backoff { - matches.match_size().saturating_mul(matches.tuple_len()) - } else { - matches.match_size() - }; - if total_len > threshold { - let ban_length = stats.ban_length << stats.times_banned; - stats.times_banned += 1; - stats.banned_until = stats.iteration + ban_length; - info!( - "Banning {} ({}-{}) for {} iters: {} < {}", - rule, stats.times_applied, stats.times_banned, ban_length, threshold, total_len, - ); - false - } else { - stats.times_applied += 1; - debug!( - "Choosing all matches for {} ({}-{})", - rule, stats.times_applied, stats.times_banned - ); - matches.choose_all(); - true - } - } -} - -#[derive(Debug, Clone)] -struct BackOffScheduler { - state: BackOffState, -} - -impl Scheduler for BackOffScheduler { - fn can_stop(&mut self, rules: &[&str], _ruleset: &str) -> bool { - self.state.can_stop(rules) - } - - fn filter_matches(&mut self, rule: &str, _ruleset: &str, matches: &mut Matches) -> bool { - self.state.should_search(rule) && self.state.choose_or_ban(rule, matches) - } -} - -#[derive(Debug, Clone)] -struct BackOffEggScheduler { - state: BackOffState, -} - -impl FreshScheduler for BackOffEggScheduler { - fn should_search(&mut self, rule: &str, _ruleset: &str) -> bool { - self.state.should_search(rule) - } - - fn can_stop(&mut self, rules: &[&str], _ruleset: &str) -> bool { - self.state.can_stop(rules) - } - - fn filter_matches(&mut self, rule: &str, _ruleset: &str, matches: &mut Matches) { - let _ = self.state.choose_or_ban(rule, matches); - } -} From 009177d0217d39e718a7431cc4efc8afb89bce6c Mon Sep 17 00:00:00 2001 From: "pre-commit-ci[bot]" <66853113+pre-commit-ci[bot]@users.noreply.github.com> Date: Mon, 6 Apr 2026 20:19:49 +0000 Subject: [PATCH 4/4] [pre-commit.ci] auto fixes from pre-commit.com hooks for more information, see https://pre-commit.ci --- python/egglog/bindings.pyi | 1 - python/egglog/egraph.py | 6 +- python/egglog/exp/param_eq/__main__.py | 1 - .../egglog/exp/param_eq/normalize_archives.py | 12 +- python/egglog/exp/param_eq/pipeline.py | 2 + python/egglog/exp/param_eq/replication.ipynb | 120 ++++----- python/egglog/exp/param_eq/replication.py | 118 ++++----- .../egglog/exp/param_eq/run_egglog_corpus.py | 3 +- .../egglog/exp/param_eq/run_haskell_corpus.py | 237 +++++++++--------- .../exp/param_eq/run_runtime_compare.py | 139 +++++----- python/egglog/exp/param_eq/test_pipeline.py | 6 +- python/tests/test_high_level.py | 1 + 12 files changed, 316 insertions(+), 330 deletions(-) diff --git a/python/egglog/bindings.pyi b/python/egglog/bindings.pyi index ea741130..8d48cd03 100644 --- a/python/egglog/bindings.pyi +++ b/python/egglog/bindings.pyi @@ -176,7 +176,6 @@ class Value: def __ge__(self, other: object) -> bool: ... @final - @final class EggSmolError(Exception): context: str diff --git a/python/egglog/egraph.py b/python/egglog/egraph.py index f5278e34..ca9c4ed7 100644 --- a/python/egglog/egraph.py +++ b/python/egglog/egraph.py @@ -1315,11 +1315,7 @@ def all_function_sizes(self) -> list[tuple[ExprCallable, int]]: """ (output,) = self._run_program(bindings.PrintSize(span(1), None)) assert isinstance(output, bindings.PrintAllFunctionsSize) - return [ - (callables[0], size) - for (name, size) in output.sizes - if (callables := self._egg_fn_to_callables(name)) - ] + return [(callables[0], size) for (name, size) in output.sizes if (callables := self._egg_fn_to_callables(name))] def _egg_fn_to_callables(self, egg_fn: str) -> list[ExprCallable]: return [ diff --git a/python/egglog/exp/param_eq/__main__.py b/python/egglog/exp/param_eq/__main__.py index 089622af..cf400b31 100644 --- a/python/egglog/exp/param_eq/__main__.py +++ b/python/egglog/exp/param_eq/__main__.py @@ -4,6 +4,5 @@ from .pipeline import _cli - if __name__ == "__main__": _cli() diff --git a/python/egglog/exp/param_eq/normalize_archives.py b/python/egglog/exp/param_eq/normalize_archives.py index 1db9be38..717a6ed3 100644 --- a/python/egglog/exp/param_eq/normalize_archives.py +++ b/python/egglog/exp/param_eq/normalize_archives.py @@ -124,13 +124,11 @@ def _normalize_runtime_rows(source_dir: Path) -> list[dict[str, str]]: node_count = int(benchmark_name.split("/")[-1]) _, numeric, unit, *_ = time_line.split() runtime_ms = float(numeric) * _to_runtime_multiplier(unit) - rows.append( - { - "benchmark_name": benchmark_name, - "node_count": str(node_count), - "runtime_ms": f"{runtime_ms:.9f}", - } - ) + rows.append({ + "benchmark_name": benchmark_name, + "node_count": str(node_count), + "runtime_ms": f"{runtime_ms:.9f}", + }) return rows diff --git a/python/egglog/exp/param_eq/pipeline.py b/python/egglog/exp/param_eq/pipeline.py index 34431cc3..932f3292 100644 --- a/python/egglog/exp/param_eq/pipeline.py +++ b/python/egglog/exp/param_eq/pipeline.py @@ -457,6 +457,7 @@ def _const_propagation( GuardCases: TypeAlias = tuple[GuardConditions, ...] _CONST_GUARD_COUNTER = count() + def _fresh_const_guard_value(prefix: str = "_const_value") -> f64: return var(f"{prefix}_{next(_CONST_GUARD_COUNTER)}", f64) @@ -1269,6 +1270,7 @@ def _serialized_counts(egraph: egglog.EGraph) -> tuple[int, int]: payload = json.loads(egraph._serialize().to_json()) return len(payload.get("nodes", {})), len(payload.get("class_data", {})) + analysis_schedule = const_merge_rules | const_seed_rules | const_propagation_rules | const_prune_rules basic_rules = ( basic_add_comm_rules diff --git a/python/egglog/exp/param_eq/replication.ipynb b/python/egglog/exp/param_eq/replication.ipynb index c210bb76..d8cb98e4 100644 --- a/python/egglog/exp/param_eq/replication.ipynb +++ b/python/egglog/exp/param_eq/replication.ipynb @@ -59,7 +59,6 @@ "\n", "from egglog.exp.param_eq.paths import ARTIFACT_DIR, PARAM_EQ_DIR\n", "\n", - "\n", "alt.data_transformers.disable_max_rows()\n", "alt.renderers.enable(\"default\")\n", "\n", @@ -273,16 +272,14 @@ " percent = float(\"nan\")\n", " if not eligible.empty:\n", " percent = 100.0 * (eligible[\"simpl_rank\"] <= delta).sum() / len(eligible)\n", - " rows.append(\n", - " {\n", - " \"implementation\": implementation,\n", - " \"dataset\": dataset,\n", - " \"dataset_label\": DATASET_LABELS[dataset],\n", - " \"algorithm\": algorithm,\n", - " \"delta\": f\"Δ {'==' if delta == 0 else '<='} {delta}\",\n", - " \"percent\": percent,\n", - " }\n", - " )\n", + " rows.append({\n", + " \"implementation\": implementation,\n", + " \"dataset\": dataset,\n", + " \"dataset_label\": DATASET_LABELS[dataset],\n", + " \"algorithm\": algorithm,\n", + " \"delta\": f\"Δ {'==' if delta == 0 else '<='} {delta}\",\n", + " \"percent\": percent,\n", + " })\n", " result = pd.DataFrame(rows)\n", " result[\"percent_label\"] = result[\"percent\"].map(lambda value: \"n/a\" if pd.isna(value) else f\"{value:.2f}%\")\n", " return result\n", @@ -309,7 +306,9 @@ " display(SVG(buffer.getvalue()))\n", "\n", "\n", - "archived_haskell = with_implementation(add_paper_metrics(_paper_haskell_frame(ARCHIVED_HASKELL_PATH)), \"Archived Haskell\")\n", + "archived_haskell = with_implementation(\n", + " add_paper_metrics(_paper_haskell_frame(ARCHIVED_HASKELL_PATH)), \"Archived Haskell\"\n", + ")\n", "live_haskell = with_implementation(add_paper_metrics(_paper_haskell_frame(LIVE_HASKELL_PATH)), \"Live Haskell\")\n", "egglog = with_implementation(add_paper_metrics(_paper_egglog_frame(EGGLOG_PATH)), \"Egglog\")\n", "runtime_rows = _paper_runtime_frame()\n", @@ -375,7 +374,7 @@ " comparison_table(egglog, implementation=\"Egglog\"),\n", " ],\n", " ignore_index=True,\n", - ")\n" + ")" ] }, { @@ -535,58 +534,54 @@ } ], "source": [ - "artifact_summary = pd.DataFrame(\n", - " [\n", + "artifact_summary = pd.DataFrame([\n", + " {\n", + " \"implementation\": \"Archived Haskell\",\n", + " \"rows\": len(archived_haskell),\n", + " \"original_median_simpl_rank\": float(archived_haskell[\"simpl_rank\"].median()),\n", + " \"sympy_median_simpl_rank\": float(archived_haskell[\"sympy_rank\"].median()),\n", + " },\n", + " {\n", + " \"implementation\": \"Live Haskell\",\n", + " \"rows\": len(live_haskell),\n", + " \"original_median_simpl_rank\": float(live_haskell[\"simpl_rank\"].median()),\n", + " \"sympy_median_simpl_rank\": float(live_haskell[\"sympy_rank\"].median()),\n", + " },\n", + " {\n", + " \"implementation\": \"Egglog\",\n", + " \"rows\": len(egglog),\n", + " \"original_median_simpl_rank\": float(egglog[\"simpl_rank\"].median()),\n", + " \"sympy_median_simpl_rank\": float(egglog[\"sympy_rank\"].median()),\n", + " },\n", + "])\n", + "display(artifact_summary)\n", + "display(\n", + " pd.DataFrame([\n", " {\n", - " \"implementation\": \"Archived Haskell\",\n", - " \"rows\": len(archived_haskell),\n", - " \"original_median_simpl_rank\": float(archived_haskell[\"simpl_rank\"].median()),\n", - " \"sympy_median_simpl_rank\": float(archived_haskell[\"sympy_rank\"].median()),\n", + " \"comparison\": \"Egglog vs live Haskell (original)\",\n", + " \"exact_matches\": int(egglog_vs_live[\"orig_exact\"].sum()),\n", + " \"total_rows\": len(egglog_vs_live),\n", + " \"max_gap\": int(egglog_vs_live[\"orig_gap\"].max()),\n", " },\n", " {\n", - " \"implementation\": \"Live Haskell\",\n", - " \"rows\": len(live_haskell),\n", - " \"original_median_simpl_rank\": float(live_haskell[\"simpl_rank\"].median()),\n", - " \"sympy_median_simpl_rank\": float(live_haskell[\"sympy_rank\"].median()),\n", + " \"comparison\": \"Egglog vs live Haskell (sympy)\",\n", + " \"exact_matches\": int(egglog_vs_live[\"sympy_exact\"].sum()),\n", + " \"total_rows\": len(egglog_vs_live),\n", + " \"max_gap\": int(egglog_vs_live[\"sympy_gap\"].max()),\n", " },\n", " {\n", - " \"implementation\": \"Egglog\",\n", - " \"rows\": len(egglog),\n", - " \"original_median_simpl_rank\": float(egglog[\"simpl_rank\"].median()),\n", - " \"sympy_median_simpl_rank\": float(egglog[\"sympy_rank\"].median()),\n", + " \"comparison\": \"Live vs archived Haskell (original)\",\n", + " \"exact_matches\": int((archive_drift[\"orig_drift\"] == 0).sum()),\n", + " \"total_rows\": len(archive_drift),\n", + " \"max_gap\": int(archive_drift[\"orig_drift\"].abs().max()),\n", " },\n", - " ]\n", - ")\n", - "display(artifact_summary)\n", - "display(\n", - " pd.DataFrame(\n", - " [\n", - " {\n", - " \"comparison\": \"Egglog vs live Haskell (original)\",\n", - " \"exact_matches\": int(egglog_vs_live[\"orig_exact\"].sum()),\n", - " \"total_rows\": len(egglog_vs_live),\n", - " \"max_gap\": int(egglog_vs_live[\"orig_gap\"].max()),\n", - " },\n", - " {\n", - " \"comparison\": \"Egglog vs live Haskell (sympy)\",\n", - " \"exact_matches\": int(egglog_vs_live[\"sympy_exact\"].sum()),\n", - " \"total_rows\": len(egglog_vs_live),\n", - " \"max_gap\": int(egglog_vs_live[\"sympy_gap\"].max()),\n", - " },\n", - " {\n", - " \"comparison\": \"Live vs archived Haskell (original)\",\n", - " \"exact_matches\": int((archive_drift[\"orig_drift\"] == 0).sum()),\n", - " \"total_rows\": len(archive_drift),\n", - " \"max_gap\": int(archive_drift[\"orig_drift\"].abs().max()),\n", - " },\n", - " {\n", - " \"comparison\": \"Live vs archived Haskell (sympy)\",\n", - " \"exact_matches\": int((archive_drift[\"sympy_drift\"] == 0).sum()),\n", - " \"total_rows\": len(archive_drift),\n", - " \"max_gap\": int(archive_drift[\"sympy_drift\"].abs().max()),\n", - " },\n", - " ]\n", - " )\n", + " {\n", + " \"comparison\": \"Live vs archived Haskell (sympy)\",\n", + " \"exact_matches\": int((archive_drift[\"sympy_drift\"] == 0).sum()),\n", + " \"total_rows\": len(archive_drift),\n", + " \"max_gap\": int(archive_drift[\"sympy_drift\"].abs().max()),\n", + " },\n", + " ])\n", ")\n", "# -" ] @@ -896,7 +891,12 @@ } ], "source": [ - "show_chart(runtime_chart(runtime_compare, title=\"Pagie runtime versus expression size (Figure 9 analog) across archived Haskell, live Haskell, and Egglog\"))" + "show_chart(\n", + " runtime_chart(\n", + " runtime_compare,\n", + " title=\"Pagie runtime versus expression size (Figure 9 analog) across archived Haskell, live Haskell, and Egglog\",\n", + " )\n", + ")" ] }, { diff --git a/python/egglog/exp/param_eq/replication.py b/python/egglog/exp/param_eq/replication.py index e487a9a6..63bf5d74 100644 --- a/python/egglog/exp/param_eq/replication.py +++ b/python/egglog/exp/param_eq/replication.py @@ -38,7 +38,6 @@ from egglog.exp.param_eq.paths import ARTIFACT_DIR, PARAM_EQ_DIR - alt.data_transformers.disable_max_rows() alt.renderers.enable("default") @@ -252,16 +251,14 @@ def comparison_table(frame: pd.DataFrame, *, implementation: str) -> pd.DataFram percent = float("nan") if not eligible.empty: percent = 100.0 * (eligible["simpl_rank"] <= delta).sum() / len(eligible) - rows.append( - { - "implementation": implementation, - "dataset": dataset, - "dataset_label": DATASET_LABELS[dataset], - "algorithm": algorithm, - "delta": f"Δ {'==' if delta == 0 else '<='} {delta}", - "percent": percent, - } - ) + rows.append({ + "implementation": implementation, + "dataset": dataset, + "dataset_label": DATASET_LABELS[dataset], + "algorithm": algorithm, + "delta": f"Δ {'==' if delta == 0 else '<='} {delta}", + "percent": percent, + }) result = pd.DataFrame(rows) result["percent_label"] = result["percent"].map(lambda value: "n/a" if pd.isna(value) else f"{value:.2f}%") return result @@ -288,7 +285,9 @@ def show_chart(chart: Any) -> None: display(SVG(buffer.getvalue())) -archived_haskell = with_implementation(add_paper_metrics(_paper_haskell_frame(ARCHIVED_HASKELL_PATH)), "Archived Haskell") +archived_haskell = with_implementation( + add_paper_metrics(_paper_haskell_frame(ARCHIVED_HASKELL_PATH)), "Archived Haskell" +) live_haskell = with_implementation(add_paper_metrics(_paper_haskell_frame(LIVE_HASKELL_PATH)), "Live Haskell") egglog = with_implementation(add_paper_metrics(_paper_egglog_frame(EGGLOG_PATH)), "Egglog") runtime_rows = _paper_runtime_frame() @@ -360,58 +359,54 @@ def show_chart(chart: Any) -> None: # ## 1. Artifact Overview -artifact_summary = pd.DataFrame( - [ +artifact_summary = pd.DataFrame([ + { + "implementation": "Archived Haskell", + "rows": len(archived_haskell), + "original_median_simpl_rank": float(archived_haskell["simpl_rank"].median()), + "sympy_median_simpl_rank": float(archived_haskell["sympy_rank"].median()), + }, + { + "implementation": "Live Haskell", + "rows": len(live_haskell), + "original_median_simpl_rank": float(live_haskell["simpl_rank"].median()), + "sympy_median_simpl_rank": float(live_haskell["sympy_rank"].median()), + }, + { + "implementation": "Egglog", + "rows": len(egglog), + "original_median_simpl_rank": float(egglog["simpl_rank"].median()), + "sympy_median_simpl_rank": float(egglog["sympy_rank"].median()), + }, +]) +display(artifact_summary) +display( + pd.DataFrame([ { - "implementation": "Archived Haskell", - "rows": len(archived_haskell), - "original_median_simpl_rank": float(archived_haskell["simpl_rank"].median()), - "sympy_median_simpl_rank": float(archived_haskell["sympy_rank"].median()), + "comparison": "Egglog vs live Haskell (original)", + "exact_matches": int(egglog_vs_live["orig_exact"].sum()), + "total_rows": len(egglog_vs_live), + "max_gap": int(egglog_vs_live["orig_gap"].max()), }, { - "implementation": "Live Haskell", - "rows": len(live_haskell), - "original_median_simpl_rank": float(live_haskell["simpl_rank"].median()), - "sympy_median_simpl_rank": float(live_haskell["sympy_rank"].median()), + "comparison": "Egglog vs live Haskell (sympy)", + "exact_matches": int(egglog_vs_live["sympy_exact"].sum()), + "total_rows": len(egglog_vs_live), + "max_gap": int(egglog_vs_live["sympy_gap"].max()), }, { - "implementation": "Egglog", - "rows": len(egglog), - "original_median_simpl_rank": float(egglog["simpl_rank"].median()), - "sympy_median_simpl_rank": float(egglog["sympy_rank"].median()), + "comparison": "Live vs archived Haskell (original)", + "exact_matches": int((archive_drift["orig_drift"] == 0).sum()), + "total_rows": len(archive_drift), + "max_gap": int(archive_drift["orig_drift"].abs().max()), }, - ] -) -display(artifact_summary) -display( - pd.DataFrame( - [ - { - "comparison": "Egglog vs live Haskell (original)", - "exact_matches": int(egglog_vs_live["orig_exact"].sum()), - "total_rows": len(egglog_vs_live), - "max_gap": int(egglog_vs_live["orig_gap"].max()), - }, - { - "comparison": "Egglog vs live Haskell (sympy)", - "exact_matches": int(egglog_vs_live["sympy_exact"].sum()), - "total_rows": len(egglog_vs_live), - "max_gap": int(egglog_vs_live["sympy_gap"].max()), - }, - { - "comparison": "Live vs archived Haskell (original)", - "exact_matches": int((archive_drift["orig_drift"] == 0).sum()), - "total_rows": len(archive_drift), - "max_gap": int(archive_drift["orig_drift"].abs().max()), - }, - { - "comparison": "Live vs archived Haskell (sympy)", - "exact_matches": int((archive_drift["sympy_drift"] == 0).sum()), - "total_rows": len(archive_drift), - "max_gap": int(archive_drift["sympy_drift"].abs().max()), - }, - ] - ) + { + "comparison": "Live vs archived Haskell (sympy)", + "exact_matches": int((archive_drift["sympy_drift"] == 0).sum()), + "total_rows": len(archive_drift), + "max_gap": int(archive_drift["sympy_drift"].abs().max()), + }, + ]) ) # - @@ -510,7 +505,12 @@ def show_chart(chart: Any) -> None: # met. # + -show_chart(runtime_chart(runtime_compare, title="Pagie runtime versus expression size (Figure 9 analog) across archived Haskell, live Haskell, and Egglog")) +show_chart( + runtime_chart( + runtime_compare, + title="Pagie runtime versus expression size (Figure 9 analog) across archived Haskell, live Haskell, and Egglog", + ) +) # - # This faceted Figure 9 analog is now closer to the archived benchmark setup: diff --git a/python/egglog/exp/param_eq/run_egglog_corpus.py b/python/egglog/exp/param_eq/run_egglog_corpus.py index 6dfd2908..c25cf154 100644 --- a/python/egglog/exp/param_eq/run_egglog_corpus.py +++ b/python/egglog/exp/param_eq/run_egglog_corpus.py @@ -14,9 +14,10 @@ import time from concurrent.futures import Future, ThreadPoolExecutor, as_completed -from egglog.exp.param_eq.paths import ARTIFACT_DIR from rich.progress import BarColumn, MofNCompleteColumn, Progress, SpinnerColumn, TextColumn, TimeElapsedColumn +from egglog.exp.param_eq.paths import ARTIFACT_DIR + TIMEOUT_SEC = 180.0 OUTPUT_DIR = ARTIFACT_DIR diff --git a/python/egglog/exp/param_eq/run_haskell_corpus.py b/python/egglog/exp/param_eq/run_haskell_corpus.py index 2a1ee0ab..7aaca3af 100644 --- a/python/egglog/exp/param_eq/run_haskell_corpus.py +++ b/python/egglog/exp/param_eq/run_haskell_corpus.py @@ -11,9 +11,10 @@ from concurrent.futures import ThreadPoolExecutor, as_completed from pathlib import Path +from rich.progress import BarColumn, MofNCompleteColumn, Progress, SpinnerColumn, TextColumn, TimeElapsedColumn + from egglog.exp.param_eq.generate_haskell_golden import _canonicalize from egglog.exp.param_eq.paths import ARTIFACT_DIR, llvm_bin_dir, param_eq_data_dir -from rich.progress import BarColumn, MofNCompleteColumn, Progress, SpinnerColumn, TextColumn, TimeElapsedColumn ARCHIVED_ROWS_PATH = ARTIFACT_DIR / "haskell_paper_rows.csv" LIVE_ROWS_PATH = ARTIFACT_DIR / "haskell_live_rows.csv" @@ -37,86 +38,82 @@ def _build_haskell_program(rows: list[dict[str, str]]) -> str: algo_row = json.dumps(row["algo_row"]) zero_index = int(row["algo_row"]) - 1 prefix = " " if index == 0 else " , " - case_lines.append( - f'{prefix}(({dataset}, {raw_index}, {algorithm}, {algo_row}), {raw_algorithm}, {zero_index})' - ) + case_lines.append(f"{prefix}(({dataset}, {raw_index}, {algorithm}, {algo_row}), {raw_algorithm}, {zero_index})") joined_case_lines = "\n".join(case_lines) - return "\n".join( - [ - "import Data.List (intercalate)", - "import qualified Data.Map as M", - "import Data.SRTree", - "import Data.SRTree.Print", - "import Data.Time.Clock.POSIX (getPOSIXTime)", - "import FixTree", - "import KotanchekSR (kotanchekSR)", - "import KotanchekSympy (kotanchekSympy)", - "import PagieSR (pagieSR)", - "import PagieSympy (pagieSympy)", - "import Reparam (replaceConstsWithParams)", - "", - "type RowId = (String, String, String, String)", - "type RowCase = (RowId, String, Int)", - "", - "cases :: [RowCase]", - "cases =", - " [", - joined_case_lines, - " ]", - "", - "sanitize :: String -> String", - "sanitize = map (\\c -> if c == '\\t' || c == '\\n' then ' ' else c)", - "", - "lookupOriginal :: String -> String -> Int -> SRTree Int Double", - "lookupOriginal dataset algorithm rowIndex = case dataset of", - " \"pagie\" -> (pagieSR M.! algorithm) !! rowIndex", - " \"kotanchek\" -> (kotanchekSR M.! algorithm) !! rowIndex", - " _ -> error \"unknown dataset\"", - "", - "lookupSympy :: String -> String -> Int -> SRTree Int Double", - "lookupSympy dataset algorithm rowIndex = case dataset of", - " \"pagie\" -> (pagieSympy M.! algorithm) !! rowIndex", - " \"kotanchek\" -> (kotanchekSympy M.! algorithm) !! rowIndex", - " _ -> error \"unknown dataset\"", - "", - "emitExpr :: RowId -> String -> SRTree Int Double -> IO ()", - "emitExpr (dataset, rawIndex, algorithm, algoRow) label expr = do", - " start <- getPOSIXTime", - " let simplified = simplifyE expr", - " end <- getPOSIXTime", - " let beforeNodes = countNodes expr", - " beforeParams = recountParams (replaceConstsWithParams expr)", - " afterNodes = countNodes simplified", - " afterParams = recountParams (replaceConstsWithParams simplified)", - " runtimeMs = (realToFrac (end - start) :: Double) * 1000.0", - " rendered = showDefault simplified", - " fields =", - " [ dataset", - " , rawIndex", - " , algorithm", - " , algoRow", - " , label", - " , show beforeNodes", - " , show beforeParams", - " , show afterNodes", - " , show afterParams", - " , show runtimeMs", - " , rendered", - " ]", - " putStrLn (intercalate \"\\t\" (map sanitize fields))", - "", - "emitCase :: RowCase -> IO ()", - "emitCase (rowId@(dataset, _, _, _), rawAlgorithm, rowIndex) = do", - " let originalExpr = lookupOriginal dataset rawAlgorithm rowIndex", - " sympyExpr = lookupSympy dataset rawAlgorithm rowIndex", - " emitExpr rowId \"original\" originalExpr", - " emitExpr rowId \"sympy\" sympyExpr", - "", - "main :: IO ()", - "main = mapM_ emitCase cases", - "", - ] - ) + return "\n".join([ + "import Data.List (intercalate)", + "import qualified Data.Map as M", + "import Data.SRTree", + "import Data.SRTree.Print", + "import Data.Time.Clock.POSIX (getPOSIXTime)", + "import FixTree", + "import KotanchekSR (kotanchekSR)", + "import KotanchekSympy (kotanchekSympy)", + "import PagieSR (pagieSR)", + "import PagieSympy (pagieSympy)", + "import Reparam (replaceConstsWithParams)", + "", + "type RowId = (String, String, String, String)", + "type RowCase = (RowId, String, Int)", + "", + "cases :: [RowCase]", + "cases =", + " [", + joined_case_lines, + " ]", + "", + "sanitize :: String -> String", + "sanitize = map (\\c -> if c == '\\t' || c == '\\n' then ' ' else c)", + "", + "lookupOriginal :: String -> String -> Int -> SRTree Int Double", + "lookupOriginal dataset algorithm rowIndex = case dataset of", + ' "pagie" -> (pagieSR M.! algorithm) !! rowIndex', + ' "kotanchek" -> (kotanchekSR M.! algorithm) !! rowIndex', + ' _ -> error "unknown dataset"', + "", + "lookupSympy :: String -> String -> Int -> SRTree Int Double", + "lookupSympy dataset algorithm rowIndex = case dataset of", + ' "pagie" -> (pagieSympy M.! algorithm) !! rowIndex', + ' "kotanchek" -> (kotanchekSympy M.! algorithm) !! rowIndex', + ' _ -> error "unknown dataset"', + "", + "emitExpr :: RowId -> String -> SRTree Int Double -> IO ()", + "emitExpr (dataset, rawIndex, algorithm, algoRow) label expr = do", + " start <- getPOSIXTime", + " let simplified = simplifyE expr", + " end <- getPOSIXTime", + " let beforeNodes = countNodes expr", + " beforeParams = recountParams (replaceConstsWithParams expr)", + " afterNodes = countNodes simplified", + " afterParams = recountParams (replaceConstsWithParams simplified)", + " runtimeMs = (realToFrac (end - start) :: Double) * 1000.0", + " rendered = showDefault simplified", + " fields =", + " [ dataset", + " , rawIndex", + " , algorithm", + " , algoRow", + " , label", + " , show beforeNodes", + " , show beforeParams", + " , show afterNodes", + " , show afterParams", + " , show runtimeMs", + " , rendered", + " ]", + ' putStrLn (intercalate "\\t" (map sanitize fields))', + "", + "emitCase :: RowCase -> IO ()", + "emitCase (rowId@(dataset, _, _, _), rawAlgorithm, rowIndex) = do", + " let originalExpr = lookupOriginal dataset rawAlgorithm rowIndex", + " sympyExpr = lookupSympy dataset rawAlgorithm rowIndex", + ' emitExpr rowId "original" originalExpr', + ' emitExpr rowId "sympy" sympyExpr', + "", + "main :: IO ()", + "main = mapM_ emitCase cases", + "", + ]) def _run_haskell_chunk(rows: list[dict[str, str]]) -> list[dict[str, str]]: @@ -154,23 +151,21 @@ def _run_haskell_chunk(rows: list[dict[str, str]]) -> list[dict[str, str]]: runtime_ms, rendered, ) = line.split("\t", maxsplit=10) - results.append( - { - "dataset": dataset, - "raw_index": raw_index, - "algorithm": algorithm, - "algo_row": algo_row, - "label": label, - "status": "saturated", - "before_nodes": before_nodes, - "before_params": before_params, - "after_nodes": after_nodes, - "after_params": after_params, - "runtime_ms": runtime_ms, - "rendered_haskell": rendered, - "rendered_python": _canonicalize(rendered), - } - ) + results.append({ + "dataset": dataset, + "raw_index": raw_index, + "algorithm": algorithm, + "algo_row": algo_row, + "label": label, + "status": "saturated", + "before_nodes": before_nodes, + "before_params": before_params, + "after_nodes": after_nodes, + "after_params": after_params, + "runtime_ms": runtime_ms, + "rendered_haskell": rendered, + "rendered_python": _canonicalize(rendered), + }) return results @@ -274,31 +269,29 @@ def _write_live_rows(rows: list[dict[str, str]], live_results: list[dict[str, st original = indexed[(row["dataset"], row["raw_index"], row["algorithm"], row["algo_row"], "original")] sympy = indexed[(row["dataset"], row["raw_index"], row["algorithm"], row["algo_row"], "sympy")] output_row = dict(row) - output_row.update( - { - "orig_nodes": original["before_nodes"], - "orig_params": original["before_params"], - "simpl_nodes": original["after_nodes"], - "simpl_params": original["after_params"], - "orig_live_status": original["status"], - "orig_nodes_sympy": sympy["before_nodes"], - "orig_params_sympy": sympy["before_params"], - "simpl_nodes_sympy": sympy["after_nodes"], - "simpl_params_sympy": sympy["after_params"], - "sympy_live_status": sympy["status"], - "orig_runtime_ms": original["runtime_ms"], - "sympy_runtime_ms": sympy["runtime_ms"], - "orig_rendered_haskell": original["rendered_haskell"], - "orig_rendered_python": original["rendered_python"], - "sympy_rendered_haskell": sympy["rendered_haskell"], - "sympy_rendered_python": sympy["rendered_python"], - "baseline_source": ( - "live_haskell" - if original["status"] == "saturated" and sympy["status"] == "saturated" - else "archived_fallback" - ), - } - ) + output_row.update({ + "orig_nodes": original["before_nodes"], + "orig_params": original["before_params"], + "simpl_nodes": original["after_nodes"], + "simpl_params": original["after_params"], + "orig_live_status": original["status"], + "orig_nodes_sympy": sympy["before_nodes"], + "orig_params_sympy": sympy["before_params"], + "simpl_nodes_sympy": sympy["after_nodes"], + "simpl_params_sympy": sympy["after_params"], + "sympy_live_status": sympy["status"], + "orig_runtime_ms": original["runtime_ms"], + "sympy_runtime_ms": sympy["runtime_ms"], + "orig_rendered_haskell": original["rendered_haskell"], + "orig_rendered_python": original["rendered_python"], + "sympy_rendered_haskell": sympy["rendered_haskell"], + "sympy_rendered_python": sympy["rendered_python"], + "baseline_source": ( + "live_haskell" + if original["status"] == "saturated" and sympy["status"] == "saturated" + else "archived_fallback" + ), + }) output_rows.append(output_row) output_path.parent.mkdir(parents=True, exist_ok=True) diff --git a/python/egglog/exp/param_eq/run_runtime_compare.py b/python/egglog/exp/param_eq/run_runtime_compare.py index 831718a8..0fbaa51a 100644 --- a/python/egglog/exp/param_eq/run_runtime_compare.py +++ b/python/egglog/exp/param_eq/run_runtime_compare.py @@ -8,15 +8,16 @@ import os import subprocess import tempfile +import time from collections import defaultdict from concurrent.futures import ProcessPoolExecutor, ThreadPoolExecutor, as_completed from pathlib import Path -import time -from egglog.exp.param_eq.pipeline import parse_expression, run_paper_pipeline -from egglog.exp.param_eq.paths import ARTIFACT_DIR, llvm_bin_dir, param_eq_data_dir from rich.progress import BarColumn, MofNCompleteColumn, Progress, SpinnerColumn, TextColumn, TimeElapsedColumn +from egglog.exp.param_eq.paths import ARTIFACT_DIR, llvm_bin_dir, param_eq_data_dir +from egglog.exp.param_eq.pipeline import parse_expression, run_paper_pipeline + ARCHIVED_RUNTIME_PATH = ARTIFACT_DIR / "pagie_runtime_scatter.csv" RUNTIME_COMPARE_PATH = ARTIFACT_DIR / "pagie_runtime_compare.csv" HASKELL_ROOT = param_eq_data_dir() @@ -39,15 +40,13 @@ def _load_pagie_rows() -> list[dict[str, str]]: for raw_index, row in enumerate(raw_rows): raw_algorithm = row["algorithm"] counts[raw_algorithm] += 1 - rows.append( - { - "raw_index": str(raw_index), - "algorithm_raw": raw_algorithm, - "algorithm": _clean_algorithm(raw_algorithm), - "algo_row": str(counts[raw_algorithm]), - "expr": row["expr"].strip(), - } - ) + rows.append({ + "raw_index": str(raw_index), + "algorithm_raw": raw_algorithm, + "algorithm": _clean_algorithm(raw_algorithm), + "algo_row": str(counts[raw_algorithm]), + "expr": row["expr"].strip(), + }) return rows @@ -60,43 +59,41 @@ def _build_haskell_program(rows: list[dict[str, str]]) -> str: prefix = " " if index == 0 else " , " case_lines.append(f"{prefix}({algorithm}, {algo_row}, {zero_index})") joined_case_lines = "\n".join(case_lines) - return "\n".join( - [ - "import Control.Exception (evaluate)", - "import Data.List (intercalate)", - "import qualified Data.Map as M", - "import Data.SRTree", - "import Data.Time.Clock.POSIX (getPOSIXTime)", - "import FixTree (simplifyE)", - "import PagieSR (pagieSR)", - "", - "type RowCase = (String, String, Int)", - "", - "cases :: [RowCase]", - "cases =", - " [", - joined_case_lines, - " ]", - "", - "sanitize :: String -> String", - "sanitize = map (\\c -> if c == '\\t' || c == '\\n' then ' ' else c)", - "", - "emitCase :: RowCase -> IO ()", - "emitCase (algorithm, algoRow, rowIndex) = do", - " let expr = (pagieSR M.! algorithm) !! rowIndex", - " beforeNodes = countNodes expr", - " start <- getPOSIXTime", - " afterNodes <- evaluate (countNodes (simplifyE expr))", - " end <- getPOSIXTime", - " let runtimeMs = (realToFrac (end - start) :: Double) * 1000.0", - " fields = [algorithm, algoRow, show beforeNodes, show afterNodes, show runtimeMs]", - " putStrLn (intercalate \"\\t\" (map sanitize fields))", - "", - "main :: IO ()", - "main = mapM_ emitCase cases", - "", - ] - ) + return "\n".join([ + "import Control.Exception (evaluate)", + "import Data.List (intercalate)", + "import qualified Data.Map as M", + "import Data.SRTree", + "import Data.Time.Clock.POSIX (getPOSIXTime)", + "import FixTree (simplifyE)", + "import PagieSR (pagieSR)", + "", + "type RowCase = (String, String, Int)", + "", + "cases :: [RowCase]", + "cases =", + " [", + joined_case_lines, + " ]", + "", + "sanitize :: String -> String", + "sanitize = map (\\c -> if c == '\\t' || c == '\\n' then ' ' else c)", + "", + "emitCase :: RowCase -> IO ()", + "emitCase (algorithm, algoRow, rowIndex) = do", + " let expr = (pagieSR M.! algorithm) !! rowIndex", + " beforeNodes = countNodes expr", + " start <- getPOSIXTime", + " afterNodes <- evaluate (countNodes (simplifyE expr))", + " end <- getPOSIXTime", + " let runtimeMs = (realToFrac (end - start) :: Double) * 1000.0", + " fields = [algorithm, algoRow, show beforeNodes, show afterNodes, show runtimeMs]", + ' putStrLn (intercalate "\\t" (map sanitize fields))', + "", + "main :: IO ()", + "main = mapM_ emitCase cases", + "", + ]) def _run_haskell_chunk(rows: list[dict[str, str]]) -> list[dict[str, str]]: @@ -122,18 +119,16 @@ def _run_haskell_chunk(rows: list[dict[str, str]]) -> list[dict[str, str]]: results: list[dict[str, str]] = [] for line in output.splitlines(): algorithm_raw, algo_row, before_nodes, after_nodes, runtime_ms = line.split("\t", maxsplit=4) - results.append( - { - "implementation": "Live Haskell", - "algorithm_raw": algorithm_raw, - "algorithm": _clean_algorithm(algorithm_raw), - "algo_row": algo_row, - "node_count": before_nodes, - "after_nodes": after_nodes, - "runtime_ms": runtime_ms, - "status": "saturated", - } - ) + results.append({ + "implementation": "Live Haskell", + "algorithm_raw": algorithm_raw, + "algorithm": _clean_algorithm(algorithm_raw), + "algo_row": algo_row, + "node_count": before_nodes, + "after_nodes": after_nodes, + "runtime_ms": runtime_ms, + "status": "saturated", + }) return results @@ -150,18 +145,16 @@ def _run_haskell_rows_serial(rows: list[dict[str, str]], *, batch_size: int) -> f"live Haskell runtime sweep failed on {row['algorithm_raw']}#{row['algo_row']}", flush=True, ) - results.append( - { - "implementation": "Live Haskell", - "algorithm_raw": row["algorithm_raw"], - "algorithm": row["algorithm"], - "algo_row": row["algo_row"], - "node_count": "na", - "after_nodes": "na", - "runtime_ms": "na", - "status": "stack_overflow", - } - ) + results.append({ + "implementation": "Live Haskell", + "algorithm_raw": row["algorithm_raw"], + "algorithm": row["algorithm"], + "algo_row": row["algo_row"], + "node_count": "na", + "after_nodes": "na", + "runtime_ms": "na", + "status": "stack_overflow", + }) continue mid = len(batch) // 2 results.extend(_run_haskell_rows_serial(batch[:mid], batch_size=max(1, mid))) diff --git a/python/egglog/exp/param_eq/test_pipeline.py b/python/egglog/exp/param_eq/test_pipeline.py index fb238f9e..5bb2d68c 100644 --- a/python/egglog/exp/param_eq/test_pipeline.py +++ b/python/egglog/exp/param_eq/test_pipeline.py @@ -64,6 +64,7 @@ def test_run_paper_pipeline_saturates_simple_expression() -> None: assert report.after_nodes <= report.before_nodes assert report.after_params == 0 + @pytest.mark.parametrize( ("source", "expected"), [ @@ -165,6 +166,7 @@ def test_reduced_schedule_case_matches_haskell_canary() -> None: assert report.rendered == case["simplify_e_expr_python"] + def test_add_comm_is_required_for_left_biased_factorization_path() -> None: source = parse_expression("(1 / ((x0 * x0) + 1)) + (4 * (x1 * x1))") expected = parse_expression("4 * ((x1 * x1) + (0.25 / ((x0 * x0) + 1)))") @@ -178,7 +180,9 @@ def bounded_schedule(basic_rules): round_sat = param_eq_hegg.run(basic_rules | param_eq_hegg.fun_rules, scheduler=scheduler) + ( param_eq_hegg.analysis_schedule.saturate() ) - return scheduler.scope(round_sat + round_sat + round_sat + round_sat + param_eq_hegg.analysis_schedule.saturate()) + return scheduler.scope( + round_sat + round_sat + round_sat + round_sat + param_eq_hegg.analysis_schedule.saturate() + ) no_add_comm_basic_rules = ( param_eq_hegg.basic_mul_comm_rules diff --git a/python/tests/test_high_level.py b/python/tests/test_high_level.py index bb95e713..e5f65b05 100644 --- a/python/tests/test_high_level.py +++ b/python/tests/test_high_level.py @@ -1309,6 +1309,7 @@ def test_custom_scheduler_invalid_until(self): with pytest.raises(ValueError, match="Can only have one until fact with custom scheduler"): egraph.run(run(r, rel(i64(0)), rel(i64(1)), scheduler=bo)) + @function def ff(x: i64Like, y: i64Like) -> E: ...