diff --git a/Cargo.lock b/Cargo.lock index 90841891..8c93e722 100644 --- a/Cargo.lock +++ b/Cargo.lock @@ -317,7 +317,6 @@ checksum = "d0881ea181b1df73ff77ffaaf9c7544ecc11e82fba9b5f27b262a3c73a332555" [[package]] name = "egglog" version = "1.0.0" -source = "git+https://github.com/saulshanabrook/egg-smol.git?branch=fix-fn-bug#fdc03716d3acc47d603a9797bb50330025db0269" dependencies = [ "csv", "dyn-clone", @@ -344,7 +343,6 @@ dependencies = [ [[package]] name = "egglog-add-primitive" version = "1.0.0" -source = "git+https://github.com/saulshanabrook/egg-smol.git?branch=fix-fn-bug#fdc03716d3acc47d603a9797bb50330025db0269" dependencies = [ "quote", "syn 2.0.107", @@ -353,7 +351,6 @@ dependencies = [ [[package]] name = "egglog-ast" version = "1.0.0" -source = "git+https://github.com/saulshanabrook/egg-smol.git?branch=fix-fn-bug#fdc03716d3acc47d603a9797bb50330025db0269" dependencies = [ "ordered-float", ] @@ -361,7 +358,6 @@ dependencies = [ [[package]] name = "egglog-bridge" version = "1.0.0" -source = "git+https://github.com/saulshanabrook/egg-smol.git?branch=fix-fn-bug#fdc03716d3acc47d603a9797bb50330025db0269" dependencies = [ "anyhow", "dyn-clone", @@ -385,7 +381,6 @@ dependencies = [ [[package]] name = "egglog-concurrency" version = "1.0.0" -source = "git+https://github.com/saulshanabrook/egg-smol.git?branch=fix-fn-bug#fdc03716d3acc47d603a9797bb50330025db0269" dependencies = [ "arc-swap", "rayon", @@ -394,7 +389,6 @@ dependencies = [ [[package]] name = "egglog-core-relations" version = "1.0.0" -source = "git+https://github.com/saulshanabrook/egg-smol.git?branch=fix-fn-bug#fdc03716d3acc47d603a9797bb50330025db0269" dependencies = [ "anyhow", "bumpalo", @@ -437,7 +431,6 @@ dependencies = [ [[package]] name = "egglog-numeric-id" version = "1.0.0" -source = "git+https://github.com/saulshanabrook/egg-smol.git?branch=fix-fn-bug#fdc03716d3acc47d603a9797bb50330025db0269" dependencies = [ "rayon", ] @@ -445,7 +438,6 @@ dependencies = [ [[package]] name = "egglog-reports" version = "1.0.0" -source = "git+https://github.com/saulshanabrook/egg-smol.git?branch=fix-fn-bug#fdc03716d3acc47d603a9797bb50330025db0269" dependencies = [ "clap", "hashbrown 0.16.0", @@ -459,7 +451,6 @@ dependencies = [ [[package]] name = "egglog-union-find" version = "1.0.0" -source = "git+https://github.com/saulshanabrook/egg-smol.git?branch=fix-fn-bug#fdc03716d3acc47d603a9797bb50330025db0269" dependencies = [ "crossbeam", "egglog-concurrency", diff --git a/Cargo.toml b/Cargo.toml index 4d468878..3b8eacd5 100644 --- a/Cargo.toml +++ b/Cargo.toml @@ -13,12 +13,12 @@ crate-type = ["cdylib"] pyo3 = { version = "0.27", features = ["extension-module", "num-bigint", "num-rational"] } num-bigint = "*" num-rational = "*" -egglog = { git = "https://github.com/saulshanabrook/egg-smol.git", branch = "fix-fn-bug", default-features = false } -egglog-bridge = { git = "https://github.com/saulshanabrook/egg-smol.git", branch = "fix-fn-bug" } -egglog-core-relations = { git = "https://github.com/saulshanabrook/egg-smol.git", branch = "fix-fn-bug" } +egglog = { path = "../egg-smol", default-features = false } +egglog-bridge = { path = "../egg-smol/egglog-bridge" } +egglog-core-relations = { path = "../egg-smol/core-relations" } egglog-experimental = { git = "https://github.com/egraphs-good/egglog-experimental", branch = "main", default-features = false } -egglog-ast = { git = "https://github.com/saulshanabrook/egg-smol.git", branch = "fix-fn-bug" } -egglog-reports = { git = "https://github.com/saulshanabrook/egg-smol.git", branch = "fix-fn-bug" } +egglog-ast = { path = "../egg-smol/egglog-ast" } +egglog-reports = { path = "../egg-smol/egglog-reports" } egraph-serialize = { version = "0.3", features = ["serde", "graphviz"] } serde_json = "1" pyo3-log = "*" @@ -31,11 +31,17 @@ base64 = "0.22.1" # Use patched version of egglog in experimental [patch.'https://github.com/egraphs-good/egglog'] -egglog = { git = "https://github.com/saulshanabrook/egg-smol.git", branch = "fix-fn-bug" } -egglog-ast = { git = "https://github.com/saulshanabrook/egg-smol.git", branch = "fix-fn-bug" } -egglog-core-relations = { git = "https://github.com/saulshanabrook/egg-smol.git", branch = "fix-fn-bug" } -egglog-bridge = { git = "https://github.com/saulshanabrook/egg-smol.git", branch = "fix-fn-bug" } -egglog-reports = { git = "https://github.com/saulshanabrook/egg-smol.git", branch = "fix-fn-bug" } +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-fn-bug" } +# egglog-ast = { git = "https://github.com/saulshanabrook/egg-smol.git", branch = "fix-fn-bug" } +# egglog-core-relations = { git = "https://github.com/saulshanabrook/egg-smol.git", branch = "fix-fn-bug" } +# egglog-bridge = { git = "https://github.com/saulshanabrook/egg-smol.git", branch = "fix-fn-bug" } +# egglog-reports = { git = "https://github.com/saulshanabrook/egg-smol.git", branch = "fix-fn-bug" } # enable debug symbols for easier profiling [profile.release] diff --git a/docs/explanation/polynomials.ipynb b/docs/explanation/polynomials.ipynb new file mode 100644 index 00000000..068e2d1e --- /dev/null +++ b/docs/explanation/polynomials.ipynb @@ -0,0 +1,528 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "bea1a7f2", + "metadata": {}, + "outputs": [ + { + "data": { + "text/latex": [ + "$\\displaystyle \\frac{\\left(\\left(\\left(bp_{1} q_{1} + bp_{2} q_{4} + bp_{3} q_{7} + bp_{4} q_{10}\\right) \\left(bpp_{1} q_{2} + bpp_{2} q_{5} + bpp_{3} q_{8} + bpp_{4} q_{11}\\right) - \\left(bp_{1} q_{2} + bp_{2} q_{5} + bp_{3} q_{8} + bp_{4} q_{11}\\right) \\left(bpp_{1} q_{1} + bpp_{2} q_{4} + bpp_{3} q_{7} + bpp_{4} q_{10}\\right)\\right)^{2} + \\left(- \\left(bp_{1} q_{1} + bp_{2} q_{4} + bp_{3} q_{7} + bp_{4} q_{10}\\right) \\left(bpp_{1} q_{3} + bpp_{2} q_{6} + bpp_{3} q_{9} + bpp_{4} q_{12}\\right) + \\left(bp_{1} q_{3} + bp_{2} q_{6} + bp_{3} q_{9} + bp_{4} q_{12}\\right) \\left(bpp_{1} q_{1} + bpp_{2} q_{4} + bpp_{3} q_{7} + bpp_{4} q_{10}\\right)\\right)^{2} + \\left(\\left(bp_{1} q_{2} + bp_{2} q_{5} + bp_{3} q_{8} + bp_{4} q_{11}\\right) \\left(bpp_{1} q_{3} + bpp_{2} q_{6} + bpp_{3} q_{9} + bpp_{4} q_{12}\\right) - \\left(bp_{1} q_{3} + bp_{2} q_{6} + bp_{3} q_{9} + bp_{4} q_{12}\\right) \\left(bpp_{1} q_{2} + bpp_{2} q_{5} + bpp_{3} q_{8} + bpp_{4} q_{11}\\right)\\right)^{2}\\right)^{1.0}}{\\left(\\left(bp_{1} q_{1} + bp_{2} q_{4} + bp_{3} q_{7} + bp_{4} q_{10}\\right)^{2} + \\left(bp_{1} q_{2} + bp_{2} q_{5} + bp_{3} q_{8} + bp_{4} q_{11}\\right)^{2} + \\left(bp_{1} q_{3} + bp_{2} q_{6} + bp_{3} q_{9} + bp_{4} q_{12}\\right)^{2}\\right)^{3.0}}$" + ], + "text/plain": [ + "(((bp1*q1 + bp2*q4 + bp3*q7 + bp4*q10)*(bpp1*q2 + bpp2*q5 + bpp3*q8 + bpp4*q11) - (bp1*q2 + bp2*q5 + bp3*q8 + bp4*q11)*(bpp1*q1 + bpp2*q4 + bpp3*q7 + bpp4*q10))**2 + (-(bp1*q1 + bp2*q4 + bp3*q7 + bp4*q10)*(bpp1*q3 + bpp2*q6 + bpp3*q9 + bpp4*q12) + (bp1*q3 + bp2*q6 + bp3*q9 + bp4*q12)*(bpp1*q1 + bpp2*q4 + bpp3*q7 + bpp4*q10))**2 + ((bp1*q2 + bp2*q5 + bp3*q8 + bp4*q11)*(bpp1*q3 + bpp2*q6 + bpp3*q9 + bpp4*q12) - (bp1*q3 + bp2*q6 + bp3*q9 + bp4*q12)*(bpp1*q2 + bpp2*q5 + bpp3*q8 + bpp4*q11))**2)**1.0/((bp1*q1 + bp2*q4 + bp3*q7 + bp4*q10)**2 + (bp1*q2 + bp2*q5 + bp3*q8 + bp4*q11)**2 + (bp1*q3 + bp2*q6 + bp3*q9 + bp4*q12)**2)**3.0" + ] + }, + "execution_count": 1, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from sympy import Array, Symbol, tensorcontraction, tensorproduct\n", + "\n", + "\n", + "def bending_function_sympy(Q, Bp, Bpp):\n", + " QM = Q.reshape(4, 3).transpose()\n", + "\n", + " # Projections (3-vector each)\n", + "\n", + " yip = tensorcontraction(tensorproduct(QM, Bp), (1, 2))\n", + " yipp = tensorcontraction(tensorproduct(QM, Bpp), (1, 2))\n", + "\n", + " def cross(a: Array, b: Array):\n", + " \"\"\"\n", + " 3d cross product\n", + " https://reference.wolfram.com/language/ref/Cross.html\n", + " \"\"\"\n", + " return Array([\n", + " a[1] * b[2] - a[2] * b[1],\n", + " a[2] * b[0] - a[0] * b[2],\n", + " a[0] * b[1] - a[1] * b[0],\n", + " ])\n", + "\n", + " def norm3(arr: Array):\n", + " x, y, z = arr[0], arr[1], arr[2]\n", + " return (x**2 + y**2 + z**2) ** (0.5)\n", + "\n", + " return (norm3(cross(yip, yipp)) / (norm3(yip) ** 3)) ** 2\n", + "\n", + "\n", + "bending_function_sympy(\n", + " Array([Symbol(f\"q{i}\") for i in range(1, 13)]),\n", + " Array([Symbol(f\"bp{i}\") for i in range(1, 5)]),\n", + " Array([Symbol(f\"bpp{i}\") for i in range(1, 5)]),\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "fdd3917b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(5.68091761739469e-5, np.float64(5.680917617394691e-05))" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import numpy as np\n", + "\n", + "# create random array inputs\n", + "ng = np.random.default_rng()\n", + "q_np = ng.random(12).astype(float)\n", + "bp_np = ng.random(4).astype(float)\n", + "bpp_np = ng.random(4).astype(float)\n", + "\n", + "\n", + "def bending_function(Q, Bp, Bpp):\n", + " xp = Q.__array_namespace__()\n", + " QM = xp.reshape(Q, (4, 3)).T\n", + "\n", + " yip = xp.tensordot(QM, Bp, axes=([1], [0]))\n", + " yipp = xp.tensordot(QM, Bpp, axes=([1], [0]))\n", + "\n", + " num = xp.linalg.vector_norm(xp.linalg.cross(yip, yipp))\n", + " den = xp.linalg.vector_norm(yip) ** 3\n", + " return (num / den) ** 2\n", + "\n", + "\n", + "bending_function(q_np, bp_np, bpp_np)\n", + "\n", + "# Try sympy on random inputs to make sure they agree\n", + "(\n", + " bending_function_sympy(\n", + " Array(q_np.tolist()),\n", + " Array(bp_np.tolist()),\n", + " Array(bpp_np.tolist()),\n", + " ),\n", + " bending_function(q_np, bp_np, bpp_np),\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "76a0eb98", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
_NDArray_1 = reshape(\n",
+       "    NDArray.vector(\n",
+       "        TupleValue.from_vec(\n",
+       "            Vec[Value](q1, q2, q3, q4, q5, q6, q7, q8, q9, q10, q11, q12)\n",
+       "        )\n",
+       "    ),\n",
+       "    TupleInt.from_vec(Vec[Int](Int(4), Int(3))),\n",
+       ").T\n",
+       "_IntOrPairTupleInts_1 = IntOrPairTupleInts.pair(\n",
+       "    TupleInt.from_vec(Vec[Int](Int(1))), TupleInt.from_vec(Vec[Int](Int(0)))\n",
+       ")\n",
+       "_NDArray_2 = tensordot(\n",
+       "    _NDArray_1,\n",
+       "    NDArray.vector(TupleValue.from_vec(Vec[Value](bp1, bp2, bp3, bp4))),\n",
+       "    _IntOrPairTupleInts_1,\n",
+       ")\n",
+       "(\n",
+       "    vector_norm(\n",
+       "        cross(\n",
+       "            _NDArray_2,\n",
+       "            tensordot(\n",
+       "                _NDArray_1,\n",
+       "                NDArray.vector(TupleValue.from_vec(Vec[Value](bpp1, bpp2, bpp3, bpp4))),\n",
+       "                _IntOrPairTupleInts_1,\n",
+       "            ),\n",
+       "        )\n",
+       "    )\n",
+       "    / (vector_norm(_NDArray_2) ** NDArray.scalar(Value.int(Int(3))))\n",
+       ") ** NDArray.scalar(Value.int(Int(2)))\n",
+       "
\n" + ], + "text/latex": [ + "\\begin{Verbatim}[commandchars=\\\\\\{\\}]\n", + "\\PY{n}{\\PYZus{}NDArray\\PYZus{}1} \\PY{o}{=} \\PY{n}{reshape}\\PY{p}{(}\n", + " \\PY{n}{NDArray}\\PY{o}{.}\\PY{n}{vector}\\PY{p}{(}\n", + " \\PY{n}{TupleValue}\\PY{o}{.}\\PY{n}{from\\PYZus{}vec}\\PY{p}{(}\n", + " \\PY{n}{Vec}\\PY{p}{[}\\PY{n}{Value}\\PY{p}{]}\\PY{p}{(}\\PY{n}{q1}\\PY{p}{,} \\PY{n}{q2}\\PY{p}{,} \\PY{n}{q3}\\PY{p}{,} \\PY{n}{q4}\\PY{p}{,} \\PY{n}{q5}\\PY{p}{,} \\PY{n}{q6}\\PY{p}{,} \\PY{n}{q7}\\PY{p}{,} \\PY{n}{q8}\\PY{p}{,} \\PY{n}{q9}\\PY{p}{,} \\PY{n}{q10}\\PY{p}{,} \\PY{n}{q11}\\PY{p}{,} \\PY{n}{q12}\\PY{p}{)}\n", + " \\PY{p}{)}\n", + " \\PY{p}{)}\\PY{p}{,}\n", + " \\PY{n}{TupleInt}\\PY{o}{.}\\PY{n}{from\\PYZus{}vec}\\PY{p}{(}\\PY{n}{Vec}\\PY{p}{[}\\PY{n}{Int}\\PY{p}{]}\\PY{p}{(}\\PY{n}{Int}\\PY{p}{(}\\PY{l+m+mi}{4}\\PY{p}{)}\\PY{p}{,} \\PY{n}{Int}\\PY{p}{(}\\PY{l+m+mi}{3}\\PY{p}{)}\\PY{p}{)}\\PY{p}{)}\\PY{p}{,}\n", + "\\PY{p}{)}\\PY{o}{.}\\PY{n}{T}\n", + "\\PY{n}{\\PYZus{}IntOrPairTupleInts\\PYZus{}1} \\PY{o}{=} \\PY{n}{IntOrPairTupleInts}\\PY{o}{.}\\PY{n}{pair}\\PY{p}{(}\n", + " \\PY{n}{TupleInt}\\PY{o}{.}\\PY{n}{from\\PYZus{}vec}\\PY{p}{(}\\PY{n}{Vec}\\PY{p}{[}\\PY{n}{Int}\\PY{p}{]}\\PY{p}{(}\\PY{n}{Int}\\PY{p}{(}\\PY{l+m+mi}{1}\\PY{p}{)}\\PY{p}{)}\\PY{p}{)}\\PY{p}{,} \\PY{n}{TupleInt}\\PY{o}{.}\\PY{n}{from\\PYZus{}vec}\\PY{p}{(}\\PY{n}{Vec}\\PY{p}{[}\\PY{n}{Int}\\PY{p}{]}\\PY{p}{(}\\PY{n}{Int}\\PY{p}{(}\\PY{l+m+mi}{0}\\PY{p}{)}\\PY{p}{)}\\PY{p}{)}\n", + "\\PY{p}{)}\n", + "\\PY{n}{\\PYZus{}NDArray\\PYZus{}2} \\PY{o}{=} \\PY{n}{tensordot}\\PY{p}{(}\n", + " \\PY{n}{\\PYZus{}NDArray\\PYZus{}1}\\PY{p}{,}\n", + " \\PY{n}{NDArray}\\PY{o}{.}\\PY{n}{vector}\\PY{p}{(}\\PY{n}{TupleValue}\\PY{o}{.}\\PY{n}{from\\PYZus{}vec}\\PY{p}{(}\\PY{n}{Vec}\\PY{p}{[}\\PY{n}{Value}\\PY{p}{]}\\PY{p}{(}\\PY{n}{bp1}\\PY{p}{,} \\PY{n}{bp2}\\PY{p}{,} \\PY{n}{bp3}\\PY{p}{,} \\PY{n}{bp4}\\PY{p}{)}\\PY{p}{)}\\PY{p}{)}\\PY{p}{,}\n", + " \\PY{n}{\\PYZus{}IntOrPairTupleInts\\PYZus{}1}\\PY{p}{,}\n", + "\\PY{p}{)}\n", + "\\PY{p}{(}\n", + " \\PY{n}{vector\\PYZus{}norm}\\PY{p}{(}\n", + " \\PY{n}{cross}\\PY{p}{(}\n", + " \\PY{n}{\\PYZus{}NDArray\\PYZus{}2}\\PY{p}{,}\n", + " \\PY{n}{tensordot}\\PY{p}{(}\n", + " \\PY{n}{\\PYZus{}NDArray\\PYZus{}1}\\PY{p}{,}\n", + " \\PY{n}{NDArray}\\PY{o}{.}\\PY{n}{vector}\\PY{p}{(}\\PY{n}{TupleValue}\\PY{o}{.}\\PY{n}{from\\PYZus{}vec}\\PY{p}{(}\\PY{n}{Vec}\\PY{p}{[}\\PY{n}{Value}\\PY{p}{]}\\PY{p}{(}\\PY{n}{bpp1}\\PY{p}{,} \\PY{n}{bpp2}\\PY{p}{,} \\PY{n}{bpp3}\\PY{p}{,} \\PY{n}{bpp4}\\PY{p}{)}\\PY{p}{)}\\PY{p}{)}\\PY{p}{,}\n", + " \\PY{n}{\\PYZus{}IntOrPairTupleInts\\PYZus{}1}\\PY{p}{,}\n", + " \\PY{p}{)}\\PY{p}{,}\n", + " \\PY{p}{)}\n", + " \\PY{p}{)}\n", + " \\PY{o}{/} \\PY{p}{(}\\PY{n}{vector\\PYZus{}norm}\\PY{p}{(}\\PY{n}{\\PYZus{}NDArray\\PYZus{}2}\\PY{p}{)} \\PY{o}{*}\\PY{o}{*} \\PY{n}{NDArray}\\PY{o}{.}\\PY{n}{scalar}\\PY{p}{(}\\PY{n}{Value}\\PY{o}{.}\\PY{n}{int}\\PY{p}{(}\\PY{n}{Int}\\PY{p}{(}\\PY{l+m+mi}{3}\\PY{p}{)}\\PY{p}{)}\\PY{p}{)}\\PY{p}{)}\n", + "\\PY{p}{)} \\PY{o}{*}\\PY{o}{*} \\PY{n}{NDArray}\\PY{o}{.}\\PY{n}{scalar}\\PY{p}{(}\\PY{n}{Value}\\PY{o}{.}\\PY{n}{int}\\PY{p}{(}\\PY{n}{Int}\\PY{p}{(}\\PY{l+m+mi}{2}\\PY{p}{)}\\PY{p}{)}\\PY{p}{)}\n", + "\\end{Verbatim}\n" + ], + "text/plain": [ + "_NDArray_1 = reshape(\n", + " NDArray.vector(\n", + " TupleValue.from_vec(\n", + " Vec[Value](q1, q2, q3, q4, q5, q6, q7, q8, q9, q10, q11, q12)\n", + " )\n", + " ),\n", + " TupleInt.from_vec(Vec[Int](Int(4), Int(3))),\n", + ").T\n", + "_IntOrPairTupleInts_1 = IntOrPairTupleInts.pair(\n", + " TupleInt.from_vec(Vec[Int](Int(1))), TupleInt.from_vec(Vec[Int](Int(0)))\n", + ")\n", + "_NDArray_2 = tensordot(\n", + " _NDArray_1,\n", + " NDArray.vector(TupleValue.from_vec(Vec[Value](bp1, bp2, bp3, bp4))),\n", + " _IntOrPairTupleInts_1,\n", + ")\n", + "(\n", + " vector_norm(\n", + " cross(\n", + " _NDArray_2,\n", + " tensordot(\n", + " _NDArray_1,\n", + " NDArray.vector(TupleValue.from_vec(Vec[Value](bpp1, bpp2, bpp3, bpp4))),\n", + " _IntOrPairTupleInts_1,\n", + " ),\n", + " )\n", + " )\n", + " / (vector_norm(_NDArray_2) ** NDArray.scalar(Value.int(Int(3))))\n", + ") ** NDArray.scalar(Value.int(Int(2)))" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import egglog\n", + "import egglog.exp.array_api as enp\n", + "\n", + "Bp = enp.NDArray.vector([egglog.constant(f\"bp{i}\", enp.Value) for i in range(1, 5)])\n", + "Bpp = enp.NDArray.vector([egglog.constant(f\"bpp{i}\", enp.Value) for i in range(1, 5)])\n", + "Q = enp.NDArray.vector([egglog.constant(f\"q{i}\", enp.Value) for i in range(1, 13)])\n", + "res = bending_function(Q, Bp, Bpp)\n", + "res" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "6fad95ab", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "In 1:1-70: (let __expr_-333516976945593818 (egglog_exp_array_api_Int___init__ 3))\n", + "Global `__expr_-333516976945593818` should start with `$`. Enable `--strict-mode` to turn this warning into an error. Suppressing additional warnings of this type.\n" + ] + }, + { + "data": { + "text/html": [ + "
_NDArray_1 = reshape(\n",
+       "    NDArray.vector(\n",
+       "        TupleValue.from_vec(Vec(q1, q2, q3, q4, q5, q6, q7, q8, q9, q10, q11, q12))\n",
+       "    ),\n",
+       "    TupleInt.from_vec(Vec(Int(4), Int(3))),\n",
+       ").T\n",
+       "_IntOrPairTupleInts_1 = IntOrPairTupleInts.pair(\n",
+       "    TupleInt.from_vec(Vec(Int(1))), TupleInt.from_vec(Vec(Int(0)))\n",
+       ")\n",
+       "_NDArray_2 = tensordot(\n",
+       "    _NDArray_1,\n",
+       "    NDArray.vector(TupleValue.from_vec(Vec(bp1, bp2, bp3, bp4))),\n",
+       "    _IntOrPairTupleInts_1,\n",
+       ")\n",
+       "(\n",
+       "    vector_norm(\n",
+       "        cross(\n",
+       "            _NDArray_2,\n",
+       "            tensordot(\n",
+       "                _NDArray_1,\n",
+       "                NDArray.vector(TupleValue.from_vec(Vec(bpp1, bpp2, bpp3, bpp4))),\n",
+       "                _IntOrPairTupleInts_1,\n",
+       "            ),\n",
+       "        )\n",
+       "    )\n",
+       "    / (vector_norm(_NDArray_2) ** NDArray.scalar(Value.int(Int(3))))\n",
+       ") ** NDArray.scalar(Value.int(Int(2)))\n",
+       "
\n" + ], + "text/latex": [ + "\\begin{Verbatim}[commandchars=\\\\\\{\\}]\n", + "\\PY{n}{\\PYZus{}NDArray\\PYZus{}1} \\PY{o}{=} \\PY{n}{reshape}\\PY{p}{(}\n", + " \\PY{n}{NDArray}\\PY{o}{.}\\PY{n}{vector}\\PY{p}{(}\n", + " \\PY{n}{TupleValue}\\PY{o}{.}\\PY{n}{from\\PYZus{}vec}\\PY{p}{(}\\PY{n}{Vec}\\PY{p}{(}\\PY{n}{q1}\\PY{p}{,} \\PY{n}{q2}\\PY{p}{,} \\PY{n}{q3}\\PY{p}{,} \\PY{n}{q4}\\PY{p}{,} \\PY{n}{q5}\\PY{p}{,} \\PY{n}{q6}\\PY{p}{,} \\PY{n}{q7}\\PY{p}{,} \\PY{n}{q8}\\PY{p}{,} \\PY{n}{q9}\\PY{p}{,} \\PY{n}{q10}\\PY{p}{,} \\PY{n}{q11}\\PY{p}{,} \\PY{n}{q12}\\PY{p}{)}\\PY{p}{)}\n", + " \\PY{p}{)}\\PY{p}{,}\n", + " \\PY{n}{TupleInt}\\PY{o}{.}\\PY{n}{from\\PYZus{}vec}\\PY{p}{(}\\PY{n}{Vec}\\PY{p}{(}\\PY{n}{Int}\\PY{p}{(}\\PY{l+m+mi}{4}\\PY{p}{)}\\PY{p}{,} \\PY{n}{Int}\\PY{p}{(}\\PY{l+m+mi}{3}\\PY{p}{)}\\PY{p}{)}\\PY{p}{)}\\PY{p}{,}\n", + "\\PY{p}{)}\\PY{o}{.}\\PY{n}{T}\n", + "\\PY{n}{\\PYZus{}IntOrPairTupleInts\\PYZus{}1} \\PY{o}{=} \\PY{n}{IntOrPairTupleInts}\\PY{o}{.}\\PY{n}{pair}\\PY{p}{(}\n", + " \\PY{n}{TupleInt}\\PY{o}{.}\\PY{n}{from\\PYZus{}vec}\\PY{p}{(}\\PY{n}{Vec}\\PY{p}{(}\\PY{n}{Int}\\PY{p}{(}\\PY{l+m+mi}{1}\\PY{p}{)}\\PY{p}{)}\\PY{p}{)}\\PY{p}{,} \\PY{n}{TupleInt}\\PY{o}{.}\\PY{n}{from\\PYZus{}vec}\\PY{p}{(}\\PY{n}{Vec}\\PY{p}{(}\\PY{n}{Int}\\PY{p}{(}\\PY{l+m+mi}{0}\\PY{p}{)}\\PY{p}{)}\\PY{p}{)}\n", + "\\PY{p}{)}\n", + "\\PY{n}{\\PYZus{}NDArray\\PYZus{}2} \\PY{o}{=} \\PY{n}{tensordot}\\PY{p}{(}\n", + " \\PY{n}{\\PYZus{}NDArray\\PYZus{}1}\\PY{p}{,}\n", + " \\PY{n}{NDArray}\\PY{o}{.}\\PY{n}{vector}\\PY{p}{(}\\PY{n}{TupleValue}\\PY{o}{.}\\PY{n}{from\\PYZus{}vec}\\PY{p}{(}\\PY{n}{Vec}\\PY{p}{(}\\PY{n}{bp1}\\PY{p}{,} \\PY{n}{bp2}\\PY{p}{,} \\PY{n}{bp3}\\PY{p}{,} \\PY{n}{bp4}\\PY{p}{)}\\PY{p}{)}\\PY{p}{)}\\PY{p}{,}\n", + " \\PY{n}{\\PYZus{}IntOrPairTupleInts\\PYZus{}1}\\PY{p}{,}\n", + "\\PY{p}{)}\n", + "\\PY{p}{(}\n", + " \\PY{n}{vector\\PYZus{}norm}\\PY{p}{(}\n", + " \\PY{n}{cross}\\PY{p}{(}\n", + " \\PY{n}{\\PYZus{}NDArray\\PYZus{}2}\\PY{p}{,}\n", + " \\PY{n}{tensordot}\\PY{p}{(}\n", + " \\PY{n}{\\PYZus{}NDArray\\PYZus{}1}\\PY{p}{,}\n", + " \\PY{n}{NDArray}\\PY{o}{.}\\PY{n}{vector}\\PY{p}{(}\\PY{n}{TupleValue}\\PY{o}{.}\\PY{n}{from\\PYZus{}vec}\\PY{p}{(}\\PY{n}{Vec}\\PY{p}{(}\\PY{n}{bpp1}\\PY{p}{,} \\PY{n}{bpp2}\\PY{p}{,} \\PY{n}{bpp3}\\PY{p}{,} \\PY{n}{bpp4}\\PY{p}{)}\\PY{p}{)}\\PY{p}{)}\\PY{p}{,}\n", + " \\PY{n}{\\PYZus{}IntOrPairTupleInts\\PYZus{}1}\\PY{p}{,}\n", + " \\PY{p}{)}\\PY{p}{,}\n", + " \\PY{p}{)}\n", + " \\PY{p}{)}\n", + " \\PY{o}{/} \\PY{p}{(}\\PY{n}{vector\\PYZus{}norm}\\PY{p}{(}\\PY{n}{\\PYZus{}NDArray\\PYZus{}2}\\PY{p}{)} \\PY{o}{*}\\PY{o}{*} \\PY{n}{NDArray}\\PY{o}{.}\\PY{n}{scalar}\\PY{p}{(}\\PY{n}{Value}\\PY{o}{.}\\PY{n}{int}\\PY{p}{(}\\PY{n}{Int}\\PY{p}{(}\\PY{l+m+mi}{3}\\PY{p}{)}\\PY{p}{)}\\PY{p}{)}\\PY{p}{)}\n", + "\\PY{p}{)} \\PY{o}{*}\\PY{o}{*} \\PY{n}{NDArray}\\PY{o}{.}\\PY{n}{scalar}\\PY{p}{(}\\PY{n}{Value}\\PY{o}{.}\\PY{n}{int}\\PY{p}{(}\\PY{n}{Int}\\PY{p}{(}\\PY{l+m+mi}{2}\\PY{p}{)}\\PY{p}{)}\\PY{p}{)}\n", + "\\end{Verbatim}\n" + ], + "text/plain": [ + "_NDArray_1 = reshape(\n", + " NDArray.vector(\n", + " TupleValue.from_vec(Vec(q1, q2, q3, q4, q5, q6, q7, q8, q9, q10, q11, q12))\n", + " ),\n", + " TupleInt.from_vec(Vec(Int(4), Int(3))),\n", + ").T\n", + "_IntOrPairTupleInts_1 = IntOrPairTupleInts.pair(\n", + " TupleInt.from_vec(Vec(Int(1))), TupleInt.from_vec(Vec(Int(0)))\n", + ")\n", + "_NDArray_2 = tensordot(\n", + " _NDArray_1,\n", + " NDArray.vector(TupleValue.from_vec(Vec(bp1, bp2, bp3, bp4))),\n", + " _IntOrPairTupleInts_1,\n", + ")\n", + "(\n", + " vector_norm(\n", + " cross(\n", + " _NDArray_2,\n", + " tensordot(\n", + " _NDArray_1,\n", + " NDArray.vector(TupleValue.from_vec(Vec(bpp1, bpp2, bpp3, bpp4))),\n", + " _IntOrPairTupleInts_1,\n", + " ),\n", + " )\n", + " )\n", + " / (vector_norm(_NDArray_2) ** NDArray.scalar(Value.int(Int(3))))\n", + ") ** NDArray.scalar(Value.int(Int(2)))" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "egraph = egglog.EGraph()\n", + "egraph.register(res)\n", + "egraph.run(enp.array_api_ruleset)\n", + "egraph.extract(res)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "d2707b6f", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "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/pyproject.toml b/pyproject.toml index c7ec173b..bc3cc972 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -282,4 +282,5 @@ members = ["egglog"] [dependency-groups] dev = [ "py-spy>=0.4.1", + "sympy>=1.14.0", ] diff --git a/python/egglog/builtins.py b/python/egglog/builtins.py index a9c75f69..f52e6dfd 100644 --- a/python/egglog/builtins.py +++ b/python/egglog/builtins.py @@ -56,6 +56,9 @@ "i64", "i64Like", "join", + "multiset_flat_map", + "multiset_not_contains_swapped", + "multiset_remove_swapped", "py_eval", "py_eval_fn", "py_exec", @@ -559,6 +562,10 @@ def __contains__(self, key: T) -> bool: @method(egg_fn="multiset-of") def __init__(self, *args: T) -> None: ... + @method(egg_fn="multiset-sum-multisets") + @classmethod + def sum_multisets(cls, xs: MultiSet[MultiSet[T]]) -> MultiSet[T]: ... + @method(egg_fn="multiset-insert") def insert(self, value: T) -> MultiSet[T]: ... @@ -583,6 +590,37 @@ def __add__(self, other: MultiSet[T]) -> MultiSet[T]: ... @method(egg_fn="unstable-multiset-map", reverse_args=True) def map(self, f: Callable[[T], T]) -> MultiSet[T]: ... + @method(egg_fn="unstable-multiset-fill-index") + def fill_index(self, f: Callable[[MultiSet[T], T], i64]) -> Unit: ... + + @method(egg_fn="unstable-multiset-clear-index") + def clear_index(self, f: Callable[[MultiSet[T], T], i64]) -> Unit: ... + + @method(egg_fn="multiset-pick-max") + def pick_max(self) -> T: ... + + @method(egg_fn="multiset-count") + def count(self, value: T) -> i64: ... + + @method(egg_fn="unstable-multiset-filter", reverse_args=True) + def filter(self, f: Callable[[T], Unit]) -> MultiSet[T]: ... + + @method(egg_fn="multiset-reset-counts") + def reset_counts(self) -> MultiSet[T]: ... + + +# TODO: Move to method when partial suppors reverse_args +@function(egg_fn="unstable-multiset-flat-map", builtin=True) +def multiset_flat_map(f: Callable[[T], MultiSet[T]], xs: MultiSet[T]) -> MultiSet[T]: ... + + +@function(egg_fn="multiset-remove-swapped", builtin=True) +def multiset_remove_swapped(x: T, xs: MultiSet[T]) -> MultiSet[T]: ... + + +@function(egg_fn="multiset-not-contains-swapped", builtin=True) +def multiset_not_contains_swapped(x: T, xs: MultiSet[T]) -> Unit: ... + converter( tuple, @@ -1112,9 +1150,9 @@ def __call__(self, *args: *TS) -> T: ... # Method Type is for builtins like __getitem__ -converter(MethodType, UnstableFn, lambda m: UnstableFn(m.__func__, m.__self__)) -converter(RuntimeFunction, UnstableFn, UnstableFn) -converter(partial, UnstableFn, lambda p: UnstableFn(p.func, *p.args)) +converter(MethodType, UnstableFn, lambda m: UnstableFn[*get_type_args()](m.__func__, m.__self__)) +converter(RuntimeFunction, UnstableFn, lambda rf: UnstableFn[*get_type_args()](rf)) +converter(partial, UnstableFn, lambda p: UnstableFn[*get_type_args()](p.func, *p.args)) def _convert_function(fn: FunctionType) -> UnstableFn: diff --git a/python/egglog/conversion.py b/python/egglog/conversion.py index 3690df1b..88f70f0b 100644 --- a/python/egglog/conversion.py +++ b/python/egglog/conversion.py @@ -243,7 +243,7 @@ def resolve_literal( tp_just = tcs.substitute_typevars(tp, cls_ident) # If we can't resolve the type var yet, then just assume it is the right value except TypeConstraintError: - assert isinstance(arg, RuntimeExpr), f"Expected a runtime expression, got {arg}" + assert isinstance(arg, RuntimeExpr), f"Expected a runtime expression, got {type(arg)}" tp_just = arg.__egg_typed_expr__.tp else: # If this is a var, it has to be a runtime expession @@ -255,6 +255,8 @@ def resolve_literal( # If the type is an egg type, it has to be a runtime expr assert isinstance(arg, RuntimeExpr) return arg + if arg is DUMMY_VALUE: + return RuntimeExpr.__from_values__(decls(), TypedExprDecl(tp_just, DummyDecl())) if (conversion := _lookup_conversion(arg_type, tp_just)) is not None: with with_type_args(tp_just.args, decls): return conversion[1](arg) diff --git a/python/egglog/declarations.py b/python/egglog/declarations.py index e2ffa08f..a7e62392 100644 --- a/python/egglog/declarations.py +++ b/python/egglog/declarations.py @@ -53,6 +53,7 @@ "DeclerationsLike", "DefaultRewriteDecl", "DelayedDeclerations", + "DummyDecl", "EqDecl", "ExprActionDecl", "ExprDecl", @@ -620,6 +621,11 @@ class UnboundVarDecl: egg_name: str | None = None +@dataclass(frozen=True) +class DummyDecl: + pass + + @dataclass(frozen=True) class LetRefDecl: name: str @@ -729,7 +735,15 @@ class ValueDecl: ExprDecl: TypeAlias = ( - UnboundVarDecl | LetRefDecl | LitDecl | CallDecl | PyObjectDecl | PartialCallDecl | ValueDecl | GetCostDecl + DummyDecl + | UnboundVarDecl + | LetRefDecl + | LitDecl + | CallDecl + | PyObjectDecl + | PartialCallDecl + | ValueDecl + | GetCostDecl ) diff --git a/python/egglog/egraph.py b/python/egglog/egraph.py index ed9b69ba..fa5cceb4 100644 --- a/python/egglog/egraph.py +++ b/python/egglog/egraph.py @@ -660,6 +660,8 @@ def _fn_decl( doc=doc, ) decls.set_function_decl(ref, decl) + if is_builtin: + return lambda: None return Thunk.fn( _add_default_rewrite_function, decls, diff --git a/python/egglog/egraph_state.py b/python/egglog/egraph_state.py index c82e38ff..b720f038 100644 --- a/python/egglog/egraph_state.py +++ b/python/egglog/egraph_state.py @@ -449,9 +449,10 @@ def _signature_to_egg_schema(self, signature: FunctionSignature) -> bindings.Sch self.type_ref_to_egg(signature.semantic_return_type.to_just()), ) - def type_ref_to_egg(self, ref: JustTypeRef) -> str: # noqa: C901, PLR0912 + def type_ref_to_egg(self, ref: JustTypeRef) -> str: """ - Returns the egg sort name for a type reference, registering it if it is not already registered. + Returns the egg sort name for a type reference, registering it not already registered, and also recursively + any type args are registered. """ try: return self.type_ref_to_egg_sort[ref] @@ -476,18 +477,6 @@ def type_ref_to_egg(self, ref: JustTypeRef) -> str: # noqa: C901, PLR0912 bindings.Var(span(), self.type_ref_to_egg(ref.args[0])), ] else: - # If any of methods have another type ref in them process all those first with substituted vars - # so that things like multiset - mapp will be added. Function type must be added first. - # Find all args of all methods and find any with type args themselves that are not this type and add them - tcs = TypeConstraintSolver(self.__egg_decls__) - tcs.bind_class(ref) - for method in decl.methods.values(): - if not isinstance((signature := method.signature), FunctionSignature): - continue - for arg_tp in signature.arg_types: - if isinstance(arg_tp, TypeRefWithVars) and arg_tp.args and arg_tp.ident != ref.ident: - self.type_ref_to_egg(tcs.substitute_typevars(arg_tp, ref.ident)) - type_args = [bindings.Var(span(), self.type_ref_to_egg(a)) for a in ref.args] args = (self.type_ref_to_egg(JustTypeRef(ref.ident)), type_args) else: @@ -617,6 +606,9 @@ def _expr_to_egg(self, expr_decl: ExprDecl) -> bindings._Expr: # noqa: PLR0912, case ValueDecl(): msg = "Cannot turn a Value into an expression" raise ValueError(msg) + case DummyDecl(): + msg = "Cannot turn a DummyDecl into an expression" + raise ValueError(msg) case _: assert_never(expr_decl.expr) self.expr_to_egg_cache[expr_decl] = res @@ -964,7 +956,7 @@ def from_call( args, # Don't include bound type params if this is just a method, we only needed them for type resolution # but dont need to store them - bound_tp_params if isinstance(callable_ref, ClassMethodRef | InitRef) else (), + bound_tp_params if isinstance(callable_ref, ClassMethodRef | InitRef) and not args else (), ) raise ValueError( f"Could not find callable ref for call {term}. None of these refs matched the types: {self.state.egg_fn_to_callable_refs[term.name]}" diff --git a/python/egglog/exp/array_api.py b/python/egglog/exp/array_api.py index b69d8212..2bbe59ec 100644 --- a/python/egglog/exp/array_api.py +++ b/python/egglog/exp/array_api.py @@ -520,6 +520,15 @@ def deselect(self, indices: TupleIntLike) -> TupleInt: indices = cast("TupleInt", indices) return TupleInt.range(self.length()).filter(lambda i: ~indices.contains(i)).map(lambda i: self[i]) + def reverse(self) -> TupleInt: + return TupleInt(self.length(), lambda i: self[self.length() - i - 1]) + + def last(self) -> Int: + return self[self.length() - 1] + + def drop_last(self) -> TupleInt: + return TupleInt(self.length() - 1, self.__getitem__) + converter(Vec[Int], TupleInt, lambda x: TupleInt.from_vec(x)) @@ -1282,6 +1291,8 @@ def _ndarray( # if_ rewrite(NDArray.if_(TRUE, x, x1)).to(x), rewrite(NDArray.if_(FALSE, x, x1)).to(x1), + # convert to scalar + rewrite(NDArray(TupleInt.EMPTY, dtype, idx_fn)).to(NDArray.scalar(idx_fn(TupleInt.EMPTY))), ] @@ -1646,6 +1657,49 @@ def real(x: NDArray) -> NDArray: ... def conj(x: NDArray) -> NDArray: ... +class IntOrPairTupleInts(Expr): + """ + Either an integer or a pair of tuple of integers. + + Used for the TensorDot axes argument. + """ + + @classmethod + def int(cls, value: IntLike) -> IntOrPairTupleInts: ... + + @classmethod + def pair(cls, left: TupleIntLike, right: TupleIntLike) -> IntOrPairTupleInts: ... + + +converter(Int, IntOrPairTupleInts, IntOrPairTupleInts.int) +converter( + tuple, IntOrPairTupleInts, lambda x: IntOrPairTupleInts.pair(convert(x[0], TupleInt), convert(x[1], TupleInt)) +) + + +@function +def tensordot(x1: NDArrayLike, x2: NDArrayLike, axes: IntOrPairTupleInts) -> NDArray: + """ + https://data-apis.org/array-api/2022.12/API_specification/generated/array_api.tensordot.html + """ + + +@function +def vector_norm(x: NDArrayLike) -> NDArray: + """ + https://data-apis.org/array-api/2022.12/extensions/generated/array_api.linalg.vector_norm.html + TODO: support axis + """ + + +@function +def cross(a: NDArrayLike, b: NDArrayLike) -> NDArray: + """ + https://data-apis.org/array-api/2022.12/extensions/generated/array_api.linalg.cross.html + TODO: support axis + """ + + linalg = sys.modules[__name__] @@ -1976,7 +2030,73 @@ def array_api_vec_to_cons_ruleset( ) -array_api_combined_ruleset = array_api_ruleset | array_api_vec_to_cons_ruleset +@function(ruleset=array_api_ruleset) +def ravel_index(index: TupleIntLike, shape: TupleIntLike) -> Int: + """ + Convert a multi-dimensional index to a flat index. + + https://numpy.org/doc/stable/reference/generated/numpy.ravel_multi_index.html#numpy.ravel_multi_index + + >>> int(ravel_index((3, 4), (7, 6))) + 22 + >>> int(ravel_index((6, 5), (7, 6))) + 41 + >>> int(ravel_index((6, 1), (7, 6))) + 37 + >>> int(ravel_index((3, 1, 4, 1), (6, 7, 8, 9))) + 1621 + """ + index = cast("TupleInt", index) + shape = cast("TupleInt", shape) + + return TupleInt.range(shape.length()).foldl(lambda res, i: res * shape[i] + index[i], Int(0)) + + +@function(ruleset=array_api_ruleset) +def unravel_index(flat_index: IntLike, shape: TupleIntLike) -> TupleInt: + """ + Convert a flat index to a multi-dimensional index. + + https://numpy.org/doc/stable/reference/generated/numpy.unravel_index.html + + >>> tuple(map(int, unravel_index(22, (7, 6)))) + (3, 4) + >>> tuple(map(int, unravel_index(41, (7, 6)))) + (6, 5) + >>> tuple(map(int, unravel_index(37, (7, 6)))) + (6, 1) + >>> tuple(map(int, unravel_index(1621, (6, 7, 8, 9)))) + (3, 1, 4, 1) + """ + shape = cast("TupleInt", shape) + + return ( + shape.reverse() + .foldl_tuple_int( + # Store remainder as last item in accumulator + lambda acc, dim: acc.drop_last().append((r := acc.last()) % dim).append(r // dim), + TupleInt.EMPTY.append(flat_index), + ) + .drop_last() + .reverse() + ) + + +@ruleset +def array_api_functional_ruleset( + old_shape: TupleInt, + shape: TupleInt, + ob: OptionalBool, + dtype: DType, + idx_fn: Callable[[TupleInt], Value], +): + # TODO: Support -1 in shape like numpy does + yield rewrite(reshape(NDArray(old_shape, dtype, idx_fn), shape, ob)).to( + NDArray(shape, dtype, lambda idx: idx_fn(unravel_index(ravel_index(idx, shape), old_shape))) + ) + + +array_api_combined_ruleset = array_api_ruleset | array_api_vec_to_cons_ruleset | array_api_functional_ruleset array_api_schedule = array_api_combined_ruleset.saturate() _CURRENT_EGRAPH: None | EGraph = None diff --git a/python/egglog/exp/polynomials.py b/python/egglog/exp/polynomials.py new file mode 100644 index 00000000..2f596b55 --- /dev/null +++ b/python/egglog/exp/polynomials.py @@ -0,0 +1,338 @@ +# # Optimizing Polynomials +# +# This post explore a few different ways of optimizing polynomials in Egglog. This is mean to see if we can +# represent addition and multiplication through built in multiset data structures in egglog if this can help +# avoid some of the issues with associtativity/commutativity blowup. + +# + +# First we can define a generic number type +# mypy: disable-error-code="empty-body" +from __future__ import annotations + +from functools import partial +from pathlib import Path +from typing import TypeAlias + +from egglog import * + + +class Number(Expr, egg_sort="Number"): + def __init__(self, value: i64Like) -> None: ... + def __add__(self, other: NumberLike) -> Number: ... + def __radd__(self, other: NumberLike) -> Number: ... + def __sub__(self, other: NumberLike) -> Number: ... + def __rsub__(self, other: NumberLike) -> Number: ... + def __mul__(self, other: NumberLike) -> Number: ... + def __rmul__(self, other: NumberLike) -> Number: ... + def __truediv__(self, other: NumberLike) -> Number: ... + def __rtruediv__(self, other: NumberLike) -> Number: ... + def __pow__(self, power: NumberLike) -> Number: ... + def __neg__(self) -> Number: ... + + +# Then we can define a large polynomial, based on output from a paper on simulating cloths +# - + +NumberLike: TypeAlias = Number | i64Like +converter(i64, Number, Number) + +bpp1 = constant("bpp1", Number) +bpp2 = constant("bpp2", Number) +bpp3 = constant("bpp3", Number) +bpp4 = constant("bpp4", Number) +bp1 = constant("bp1", Number) +bp2 = constant("bp2", Number) +bp3 = constant("bp3", Number) +bp4 = constant("bp4", Number) +q1 = constant("q1", Number) +q2 = constant("q2", Number) +q3 = constant("q3", Number) +q4 = constant("q4", Number) +q5 = constant("q5", Number) +q6 = constant("q6", Number) +q7 = constant("q7", Number) +q8 = constant("q8", Number) +q9 = constant("q9", Number) +q10 = constant("q10", Number) +q11 = constant("q11", Number) +q12 = constant("q12", Number) + +res = ( + ( + -bp4 * bpp1 * q1 * q11 + + bp1 * bpp4 * q1 * q11 + + bp4 * bpp1 * q10 * q2 + - bp1 * bpp4 * q10 * q2 + - bp4 * bpp2 * q11 * q4 + + bp2 * bpp4 * q11 * q4 + + bp2 * bpp1 * q2 * q4 + - bp1 * bpp2 * q2 * q4 + - bp2 * bpp1 * q1 * q5 + + bp1 * bpp2 * q1 * q5 + + bp4 * bpp2 * q10 * q5 + - bp2 * bpp4 * q10 * q5 + - bp4 * bpp3 * q11 * q7 + + bp3 * bpp4 * q11 * q7 + + bp3 * bpp1 * q2 * q7 + - bp1 * bpp3 * q2 * q7 + + bp3 * bpp2 * q5 * q7 + - bp2 * bpp3 * q5 * q7 + - bp3 * bpp1 * q1 * q8 + + bp1 * bpp3 * q1 * q8 + + bp4 * bpp3 * q10 * q8 + - bp3 * bpp4 * q10 * q8 + - bp3 * bpp2 * q4 * q8 + + bp2 * bpp3 * q4 * q8 + ) + ** 2 + + ( + bp4 * bpp1 * q1 * q12 + - bp1 * bpp4 * q1 * q12 + - bp4 * bpp1 * q10 * q3 + + bp1 * bpp4 * q10 * q3 + + bp4 * bpp2 * q12 * q4 + - bp2 * bpp4 * q12 * q4 + - bp2 * bpp1 * q3 * q4 + + bp1 * bpp2 * q3 * q4 + + bp2 * bpp1 * q1 * q6 + - bp1 * bpp2 * q1 * q6 + - bp4 * bpp2 * q10 * q6 + + bp2 * bpp4 * q10 * q6 + + bp4 * bpp3 * q12 * q7 + - bp3 * bpp4 * q12 * q7 + - bp3 * bpp1 * q3 * q7 + + bp1 * bpp3 * q3 * q7 + - bp3 * bpp2 * q6 * q7 + + bp2 * bpp3 * q6 * q7 + + bp3 * bpp1 * q1 * q9 + - bp1 * bpp3 * q1 * q9 + - bp4 * bpp3 * q10 * q9 + + bp3 * bpp4 * q10 * q9 + + bp3 * bpp2 * q4 * q9 + - bp2 * bpp3 * q4 * q9 + ) + ** 2 + + ( + -bp4 * bpp1 * q12 * q2 + + bp1 * bpp4 * q12 * q2 + + bp4 * bpp1 * q11 * q3 + - bp1 * bpp4 * q11 * q3 + - bp4 * bpp2 * q12 * q5 + + bp2 * bpp4 * q12 * q5 + + bp2 * bpp1 * q3 * q5 + - bp1 * bpp2 * q3 * q5 + + bp4 * bpp2 * q11 * q6 + - bp2 * bpp4 * q11 * q6 + - bp2 * bpp1 * q2 * q6 + + bp1 * bpp2 * q2 * q6 + - bp4 * bpp3 * q12 * q8 + + bp3 * bpp4 * q12 * q8 + + bp3 * bpp1 * q3 * q8 + - bp1 * bpp3 * q3 * q8 + + bp3 * bpp2 * q6 * q8 + - bp2 * bpp3 * q6 * q8 + + bp4 * bpp3 * q11 * q9 + - bp3 * bpp4 * q11 * q9 + - bp3 * bpp1 * q2 * q9 + + bp1 * bpp3 * q2 * q9 + - bp3 * bpp2 * q5 * q9 + + bp2 * bpp3 * q5 * q9 + ) + ** 2 +) / ( + (bp1 * q1 + bp4 * q10 + bp2 * q4 + bp3 * q7) ** 2 + + (bp4 * q11 + bp1 * q2 + bp2 * q5 + bp3 * q8) ** 2 + + (bp4 * q12 + bp1 * q3 + bp2 * q6 + bp3 * q9) ** 2 +) ** 3 + +# - + +print("saving initial expression to initial.py") +INITIAL_STR = "from egglog.exp.polynomials import *\n\n" +Path("tmp/initial.py").write_text(INITIAL_STR + str(res)) + +egraph = EGraph(save_egglog_string=True) +res = egraph.let("res", res) + + +@function +def monomial(x: MultiSetLike[Number, NumberLike]) -> Number: ... + + +@function(merge=lambda old, new: new) +def get_monomial(x: Number) -> MultiSet[Number]: + """ + Only defined on monomials: + + get_monomial(monomial(xs)) => xs + """ + + +@function(merge=lambda old, new: new) +def get_sole_polynomial(xs: MultiSet[Number]) -> MultiSet[MultiSet[Number]]: + """ + Only defined on monomials that contain a single polynomial: + + get_sole_polynomial(MultiSet(polynomial(xs))) => xs + """ + + +# MultiSet[MultiSet[Number]] +@function +def polynomial(x: MultiSetLike[MultiSet[Number], MultiSetLike[Number, NumberLike]]) -> Number: ... + + +# a + x * y + +# polynomial(multiset(multiset(a), multiset(x, y))) + + +@ruleset +def to_polynomial_ruleset( + n1: Number, + n2: Number, + n3: Number, + mss: MultiSet[MultiSet[Number]], + mss1: MultiSet[MultiSet[Number]], +): + yield rewrite(-n1, subsume=True).to(-1 * n1) + yield rewrite(n1 - n2, subsume=True).to(n1 + (-1 * n2)) + yield rule( + n3 == n1 + n2, + name="add", + ).then( + union(n3).with_(polynomial(MultiSet(MultiSet(n1), MultiSet(n2)))), + set_(get_sole_polynomial(MultiSet(n3))).to(MultiSet(MultiSet(n1), MultiSet(n2))), + delete(n1 + n2), + ) + yield rule( + n3 == n1 * n2, + name="mul", + ).then( + union(n3).with_(monomial(MultiSet(n1, n2))), + set_(get_monomial(n3)).to(MultiSet(n1, n2)), + delete(n1 * n2), + # MultiSet(n1, n2).fill_index(ms_index), + ) + yield rule( + n1 == polynomial(mss), + mss1 == mss.map(partial(multiset_flat_map, get_monomial)), + mss != mss1, + name="unwrap monomial", + ).then( + union(n1).with_(polynomial(mss1)), + delete(polynomial(mss)), + set_(get_sole_polynomial(MultiSet(n1))).to(mss1), + ) + yield rule( + n1 == polynomial(mss), + mss1 == multiset_flat_map(UnstableFn(get_sole_polynomial), mss), + mss != mss1, + name="unwrap polynomial", + ).then( + union(n1).with_(polynomial(mss1)), + delete(polynomial(mss)), + set_(get_sole_polynomial(MultiSet(n1))).to(mss1), + ) + + +egraph.run(to_polynomial_ruleset.saturate()) +print("saving polynomial expression to polynomial.py") +Path("tmp/polynomial.py").write_text(INITIAL_STR + str(egraph.extract(res))) + + +@ruleset +def factor_ruleset( + n: Number, + mss: MultiSet[MultiSet[Number]], + counts: MultiSet[Number], + factor: Number, + divided: MultiSet[MultiSet[Number]], + remainder: MultiSet[MultiSet[Number]], +): + yield rule( + n == polynomial(mss), + # Find factor that shows up in most monomials, at least two of them + counts == MultiSet.sum_multisets(mss.map(MultiSet[Number].reset_counts)), + factor == counts.pick_max(), + # Only factor out if it term appears in more than one monomial + counts.count(factor) > 1, + # map, including only those factor that contain the factor, removing them from that + # other items are omitted from the map + divided == mss.map(partial(multiset_remove_swapped, factor)), + # remainder is those monomials that do not contain the factor + remainder == mss.filter(partial(multiset_not_contains_swapped, factor)), + name="factor", + ).then( + union(n).with_(polynomial(MultiSet(MultiSet(factor, polynomial(divided))) + remainder)), + # delete(polynomial(mss)), + ) + + +egraph.run(factor_ruleset.saturate()) +print("saving factored expression to factored.py") +Path("tmp/factored.py").write_text(INITIAL_STR + str(egraph.extract(res))) + + +print("saving egraph to polynomials.egg") +Path("tmp/polynomials.egg").write_text(egraph.as_egglog_string) + +# simplifying polynomials + +# @function(merge=lambda old, new: new) +# def get_polynomial_sole_monomial(x: Number) -> MultiSet[Number]: +# """ +# Only defined on polynomials that contain a single monomial: + +# get_polynomial_sole_monomial(polynomial(MultiSet(xs))) => xs +# """ + + +# @ruleset +# def simplified_factor_ruleset( +# n: Number, +# mss: MultiSet[MultiSet[Number]], +# mss1: MultiSet[MultiSet[Number]], +# ms: MultiSet[Number], +# ): +# # replace all monomial with polyomials with one monomial with just monomials +# # a = polynomial( +# # MultiSet( +# # MultiSet(bp1, bpp4, q12, q1), +# # MultiSet(q7, polynomial(MultiSet(MultiSet(bp3, _Number_10)))), +# # MultiSet(q9, polynomial(MultiSet(MultiSet(bpp3, _Number_8)))), +# # ) +# # ) +# # replace_with = polynomial( +# # MultiSet( +# # MultiSet(bp1, bpp4, q12, q1), +# # MultiSet(q7, bp3, _Number_10), +# # MultiSet(q9, bpp3, _Number_8), +# # ) +# # ) + +# yield rule( +# n == polynomial(mss), +# mss.length() == i64(1), +# ms == mss.pick(), +# name="set polynomial sole monomial", +# ).then( +# set_(get_polynomial_sole_monomial(n)).to(ms), +# ) +# yield rule( +# n == polynomial(mss), +# mss1 == mss.map(partial(multiset_flat_map, get_polynomial_sole_monomial)), +# mss != mss1, +# name="unwrap polynomial sole monomial", +# ).then( +# union(n).with_(polynomial(mss1)), +# subsume(polynomial(mss)), +# ) + + +# print("simplifying factored") +# egraph.run(simplified_factor_ruleset.saturate()) +# print("extracting simplified factored") +# finished_simplified = egraph.extract(res) +# print("saving simplified factored expression to simplified_factored.py") +# Path("simplified_factored.py").write_text(INITIAL_STR + str(finished_simplified)) diff --git a/python/egglog/pretty.py b/python/egglog/pretty.py index 556d629e..fb05cc00 100644 --- a/python/egglog/pretty.py +++ b/python/egglog/pretty.py @@ -26,7 +26,7 @@ ] MAX_LINE_LENGTH = 110 LINE_DIFFERENCE = 10 -BLACK_MODE = black.Mode(line_length=180) +BLACK_MODE = black.Mode(line_length=88) # Use this special character in place of the args, so that if the args are inlined # in the viz, they will replace it @@ -221,6 +221,8 @@ def __call__(self, decl: AllDecls, toplevel: bool = False) -> None: # noqa: C90 self(schedule) case GetCostDecl(ref, args): self(CallDecl(ref, args)) + case DummyDecl(): + pass case _: assert_never(decl) @@ -373,6 +375,8 @@ def uncached( # noqa: C901, PLR0911, PLR0912 return f"back_off({', '.join(list_args)})", "scheduler" case ValueDecl(value): return str(value), "value" + case DummyDecl(): + return "__InternalDummyValueShouldNotBeSeenOpenAnIssue()", "dummy" case GetCostDecl(ref, args): return f"get_cost({self(CallDecl(ref, args))})", "get_cost" assert_never(decl) diff --git a/python/egglog/runtime.py b/python/egglog/runtime.py index 56f68ea7..fa43947b 100644 --- a/python/egglog/runtime.py +++ b/python/egglog/runtime.py @@ -34,6 +34,7 @@ __all__ = [ "ALWAYS_MUTATES_SELF", "ALWAYS_PRESERVED", + "DUMMY_VALUE", "LIT_IDENTS", "NUMERIC_BINARY_METHODS", "RuntimeClass", @@ -302,13 +303,14 @@ def __call__(self, *args: object, **kwargs: object) -> RuntimeExpr | None: # Assumes we don't have types set for UnstableFn w/ generics, that they have to be inferred # 1. Call it with the partial args, and use untyped vars for the rest of the args - res = cast("Callable", fn_arg)(*partial_args, _egg_partial_function=True) + res = cast("Callable", fn_arg)(*partial_args, _egg_function_types=self.__egg_tp__.args) assert res is not None, "Mutable partial functions not supported" # 2. Use the inferred return type and inferred rest arg types as the types of the function, and # the partially applied args as the args. call = (res_typed_expr := res.__egg_typed_expr__).expr return_tp = res_typed_expr.tp assert isinstance(call, CallDecl), "partial function must be a call" + # Clip off the remaining arguments n_args = len(partial_args) value = PartialCallDecl(replace(call, args=call.args[:n_args])) remaining_arg_types = [a.tp for a in call.args[n_args:]] @@ -404,9 +406,15 @@ def __getattr__(self, name: str) -> RuntimeFunction | RuntimeExpr | Callable: ) # allow referencing properties and methods as class variables as well if name in cls_decl.properties: - return RuntimeFunction(self.__egg_decls_thunk__, Thunk.value(PropertyRef(self.__egg_tp__.ident, name))) + return RuntimeFunction( + self.__egg_decls_thunk__, + Thunk.value(PropertyRef(self.__egg_tp__.ident, name)), + self.__egg_tp__.to_just(), + ) if name in cls_decl.methods: - return RuntimeFunction(self.__egg_decls_thunk__, Thunk.value(MethodRef(self.__egg_tp__.ident, name))) + return RuntimeFunction( + self.__egg_decls_thunk__, Thunk.value(MethodRef(self.__egg_tp__.ident, name)), self.__egg_tp__.to_just() + ) msg = f"Class {self.__egg_tp__.ident} has no method {name}" raise AttributeError(msg) from None @@ -495,7 +503,9 @@ def __hash__(self) -> int: def __egg_ref__(self) -> CallableRef: return self.__egg_ref_thunk__() - def __call__(self, *args: object, _egg_partial_function: bool = False, **kwargs: object) -> RuntimeExpr | None: + def __call__( # noqa: C901 + self, *args: object, _egg_function_types: tuple[TypeOrVarRef, ...] | None = None, **kwargs: object + ) -> RuntimeExpr | None: from .conversion import resolve_literal # noqa: PLC0415 if isinstance(self.__egg_bound__, RuntimeExpr): @@ -528,11 +538,12 @@ def __call__(self, *args: object, _egg_partial_function: bool = False, **kwargs: assert isinstance(signature, FunctionSignature) # Turn all keyword args into positional args - py_signature = to_py_signature(signature, self.__egg_decls__, _egg_partial_function) + py_signature = to_py_signature(signature, self.__egg_decls__, optional_args=_egg_function_types is not None) try: bound = py_signature.bind(*args, **kwargs) except TypeError as err: - raise TypeError(f"Failed to bind arguments for {self} with args {args} and kwargs {kwargs}: {err}") from err + err.add_note(f"when calling {self} with args {args} and kwargs {kwargs}") + raise del kwargs bound.apply_defaults() assert not bound.kwargs @@ -554,7 +565,18 @@ def __call__(self, *args: object, _egg_partial_function: bool = False, **kwargs: ): tcs.bind_class(bound_tp) assert (operator.ge if signature.var_arg_type else operator.eq)(len(args), len(signature.arg_types)) + # Hack to allow being explicit on function types when casting. # noqa: FIX004 + # TODO: Replace type analysis class binding stuff + # with instead binders of location per call origination cls_ident = bound_tp.ident if bound_tp else None + for _fn_tp in _egg_function_types or (): + try: + _fn_tp_just = _fn_tp.to_just() + except TypeVarError: + continue + tcs.bind_class(_fn_tp_just) + if _fn_tp_just.args: + cls_ident = _fn_tp_just.ident upcasted_args = [ resolve_literal(cast("TypeOrVarRef", tp), arg, Thunk.value(decls), tcs=tcs, cls_ident=cls_ident) for arg, tp in zip_longest(args, signature.arg_types, fillvalue=signature.var_arg_type) @@ -598,12 +620,16 @@ def __doc__(self) -> str | None: # type: ignore[override] return None +# sentinel that will be upcasted to any type with a DummyDecl value +DUMMY_VALUE = object() + + def to_py_signature(sig: FunctionSignature, decls: Declarations, optional_args: bool) -> Signature: """ Convert to a Python signature. If optional_args is true, then all args will be treated as optional, as if a default was provided that makes them - a var with that arg name as the value. + `DUMMY_VALUE` Used for partial application to try binding a function with only some of its args. """ @@ -611,9 +637,9 @@ def to_py_signature(sig: FunctionSignature, decls: Declarations, optional_args: Parameter( n, Parameter.POSITIONAL_OR_KEYWORD, - default=RuntimeExpr.__from_values__(decls, TypedExprDecl(t.to_just(), d or LetRefDecl(n))) - if d is not None or optional_args - else Parameter.empty, + default=RuntimeExpr.__from_values__(decls, TypedExprDecl(t.to_just(), d)) + if d is not None + else (DUMMY_VALUE if optional_args else Parameter.empty), ) for n, d, t in zip(sig.arg_names, sig.arg_defaults, sig.arg_types, strict=True) ] diff --git a/python/egglog/type_constraint_solver.py b/python/egglog/type_constraint_solver.py index 4a333179..cfc46d4b 100644 --- a/python/egglog/type_constraint_solver.py +++ b/python/egglog/type_constraint_solver.py @@ -107,5 +107,5 @@ def substitute_typevars(self, tp: TypeOrVarRef, cls_ident: Ident | None = None) except KeyError as e: raise TypeConstraintError(f"Not enough bound typevars for {tp!r} in class {cls_ident}") from e case TypeRefWithVars(name, args): - return JustTypeRef(name, tuple(self.substitute_typevars(arg, cls_ident) for arg in args)) + return JustTypeRef(name, tuple(self.substitute_typevars(arg, cls_ident or name) for arg in args)) assert_never(tp) diff --git a/src/egraph.rs b/src/egraph.rs index 19e9f172..dac71e43 100644 --- a/src/egraph.rs +++ b/src/egraph.rs @@ -58,11 +58,16 @@ impl EGraph { py: Python<'_>, commands: Vec, ) -> EggResult> { - let commands: Vec = commands.into_iter().map(|x| x.into()).collect(); + let mut commands: Vec = commands.into_iter().map(|x| x.into()).collect(); let mut cmds_str = String::new(); for cmd in &commands { cmds_str = cmds_str + &cmd.to_string() + "\n"; } + // Parse all commands so that type analysis works properly + commands = self.egraph.parser.get_program_from_string(None, &cmds_str).unwrap(); + if let Some(cmds) = &mut self.cmds { + cmds.push_str(&cmds_str); + } info!("Running commands:\n{}", cmds_str); let res = py.detach(|| 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