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Fast Function Approximations lowering.#8566

Open

mcourteaux wants to merge 86 commits into

halide:mainhalide/Halide:mainfrom

mcourteaux:fast-math-loweringmcourteaux/Halide:fast-math-loweringCopy head branch name to clipboard

Conversation Commits86 (86)Checks Files changed

Open

Fast Function Approximations lowering.#8566
mcourteaux wants to merge 86 commits into
halide:mainfrom
mcourteaux:fast-math-lowering

Commits

Commits on Jul 22, 2025

Fast vectorizable atan and atan2 functions.
mcourteaux
committed
Default to not using fast atan versions if on CUDA.
mcourteaux
committed
Finished fast atan/atan2 functions and tests.
mcourteaux
committed
Correct attribution.
mcourteaux
committed
Clang-format
mcourteaux
committed
Weird WebAssembly limits...
mcourteaux
committed
Small improvements to the optimization script.
mcourteaux
committed
Polynomial optimization for log, exp, sin, cos with correct ranges.
mcourteaux
committed
Improve fast atan performance tests for GPU.
mcourteaux
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Bugfix fast_atan approximation. Fix correctness test to exceed the range (-1, 1) to test (-4, 4). Cleanup code/comments. Test performance for all approximations.
mcourteaux
committed
Cleanup
mcourteaux
committed
Enum class instead of enum for ApproximationPrecision.
mcourteaux
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Weird Metal limits. There should be a better way...
mcourteaux
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Skip test for WebGPU.
mcourteaux
committed
Fast atan/atan2 polynomials reoptimized. New optimization strategy: ULP.
mcourteaux
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Feedback Steven.
mcourteaux
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More comments and test mantissa error.
mcourteaux
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Do not error when testing arctan performance on Metal / WebGPU.
mcourteaux
committed
Rework precision specification. Generalize towards using this for other functions.
mcourteaux
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Clang-format.
mcourteaux
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Fix makefile and clang-tidy.
mcourteaux
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Fix incorrect approximation selection when required precision is not available.
mcourteaux
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Feedback from Steven.
mcourteaux
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Implemented approximation tables for sin, cos, exp, log fast variants. Still needs cleanup.
mcourteaux
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Clang-format.
mcourteaux
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Move Polynomial Optimizer Python script to tools/ directory.
mcourteaux
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Enable performance test for fast_atan and fast_atan2.
mcourteaux
committed
LLVM upper-limit 99 (CMake needs an upper limit).
mcourteaux
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Add LLVM IR for PTX sin.approx, cos.approx, tanh.approx
mcourteaux
committed
Implemented tan. Improved polynomial optimizer performance for MULPE optimization. Greatly improved accuracy testing framework.
mcourteaux
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Implemented tanh, tan. Many improvements to accuracy test and performance test.
mcourteaux
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Clang-format.
mcourteaux
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WIP: Fiddle with strict_float behavior in CSE. Fix fast math precision test by precomputing arguments buffer.
mcourteaux
committed
Nuke MAE_MULPE. Separate optimized MULPE-corrected sin and cos.
mcourteaux
committed
Clang-format
mcourteaux
committed
Some cleanup.
mcourteaux
committed
Fix sine.
mcourteaux
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Fix clang-tidy. Mark OpenCL exp() as fast.
mcourteaux
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Clang format is annoying me.
mcourteaux
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Remove my experimental CSE step.
mcourteaux
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OpenCL performance of fast_exp forced poly is expected to be worse.
mcourteaux
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OpenCL fast functions selected for fast transcendentals.
mcourteaux
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Lower fast intrinsics on metal to the fast:: namespace versions.
mcourteaux
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Split tables for sin and cos, as metal has odd precision for sin. Add support for fast_tanh on all backends.
mcourteaux
committed
Move range_reduce_log to a header. Drive-by fix listing libOpenCL.so.1 as well.
mcourteaux
committed
Fix API documentation. Improve measuring accuracy. Fix vector_math test not touching input: prevents constant folding.
mcourteaux
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Also vectorize on GPU to make sure we test that.
mcourteaux
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Add FastMathFunctions.cpp to Makefile
mcourteaux
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Add support for derivatives for the fast_ intrinsics.
mcourteaux
committed
Remove unused helper function.
mcourteaux
committed
Add in a gracefactor for precision when the system does not support FMA.
mcourteaux
committed
Clang Format.
mcourteaux
committed
Windows doesn't print thousand separaters with printf. :(
mcourteaux
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Remove grace factor, and use safety factor of 5% when selecting a polynomial by default instead.
mcourteaux
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Use 50% tighter constraints when no FMA is available to compensate for lost precision. Also test accuracy of non-forced polynomials, i.e., potentially intrinsics.
mcourteaux
committed
Clang-format.
mcourteaux
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Working on better optimizations. Improving PR and code.
mcourteaux
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Implemented fast_asin() fast_acos(). Slowly redoing coefficients.
mcourteaux
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WIP: determine precision of the polynomials.
mcourteaux
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Revived all tests.
mcourteaux
committed
Clang format
mcourteaux
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Implement expm1. Fix accuracy of tanh. Fix lowering of tanh on CUDA. Selectively disable some tests that require strict_float on GPU backends.
mcourteaux
committed
Clang-format
mcourteaux
committed
Feedback, and remove expm1 test.
mcourteaux
committed
Fix compilation issues.
mcourteaux
committed
One more compilation issue.
mcourteaux
committed
Fixed a bracket.
mcourteaux
committed
Update some precision info on math intrinsics for Vulkan and Metal.
mcourteaux
committed
Fix makefile after I accidentally broke it by sorting files alphabetically.
mcourteaux
committed
Add fast math calls to new extern_function_name_map for OpenCL.
mcourteaux
committed
Move fast function calls to extern table for Metal.
mcourteaux
committed
Try to fix compile/test issues.
mcourteaux
committed
Fix Makefile and symbol visibility issue.
mcourteaux
committed
Clang-format
mcourteaux
committed
Make use of the new strict_float intrinsics for the fast math functions.
mcourteaux
committed
Relax performance tests for GPUs.
mcourteaux
committed
Clang-format
mcourteaux
committed
Fix incorrect forward declaration.
mcourteaux
committed
Fix acos on Metal. Relax perf-test for tanh on OpenCL.
mcourteaux
committed
Fix strict float behavior for the fast_tan function. Implemented split float calculations for f64 and f16.
mcourteaux
committed
Enable fp16 fast_math functions without promises.
mcourteaux
committed
Clear internal assert, as it assumed SSE floating point behavior, which failed on x87.
mcourteaux
committed
Let CodeGen_C handle all float-literal printing (also for Float(16) in case that's marked as supported by the GPU backend.)
mcourteaux
committed
Fix internal test for CodeGen_C given the scientific way of printing literals.
mcourteaux
committed

Commits on Feb 1, 2026

Merge branch 'main' into fast-math-lowering
mcourteaux
committed
Update.
mcourteaux
committed

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