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polybench

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Multivariate polynomial arithmetic benchmark tests.

Many scientific and engineering applications utilise multivariate polynomial arithmetic in their algorithms and solutions. Here we provide a set of benchmark tests for often-used operations in multivariate polynomial arithmetic:

  • Greatest common divisor
  • Factorisation

Requirements

You also need at least one or more tools to be benchmarked. They are (in alphabetical order):

Getting started

Clone this repository and try to run the run.sh script:

git clone https://github.com/tueda/polybench.git
cd polybench
./run.sh --all

When starting the script for the first time, it automatically sets up a virtual environment for required Python packages so that it will not dirty your environment. Some of the tools are provided as libraries registered in public package registries, so the first run takes some time to download, compile and link them with test binaries. After testing, a CSV file and comparison plots will be generated.

For practical benchmarking, configuration parameters should be set adequately. See the help message shown by

./run.sh --help

You can also use pip, pipx, Poetry or Docker with this repository. Installation with pip(x) install or poetry install makes a command polybench available, which acts as the run.sh script described above.

pip install polybench
polybench --all
python -m polybench --all  # alternative way to launch
pipx install polybench
polybench --all
git clone https://github.com/tueda/polybench.git
cd polybench
poetry install
poetry run polybench --all
docker build -t polybench:latest https://github.com/tueda/polybench.git
docker run -it --rm polybench:latest
./run.sh --all

Example

platform Linux-5.15.0-84-generic-x86_64-with-glibc2.29
python_version 3.8.10.final.0 (64 bit)
cpu_brand 12th Gen Intel(R) Core(TM) i9-12900
cpu_count 16 (logical: 24)
total_memory 62.6GB
FLINT flint 3.5.0, gcc-11 (GNU) 11.5.0
FORM FORM 5.0.0 (Jan 27 2026, v5.0.0)
Mathematica 14.3.0 for Linux x86 (64-bit) (July 31, 2025)
reFORM 0.1.0-fix-serialize, rustc 1.96.0 (ac68faa20 2026-05-25)
Rings 2.5.8, JVM: 11.0.20.1 (Ubuntu 11.0.20.1+1-post-Ubuntu-0ubuntu120.04)
Singular Singular for x86_64-Linux version 4.4.1 (44100, 64 bit) Jan 2025
Symbolica 2.0.0, rustc 1.96.0 (ac68faa20 2026-05-25)

nontrivial-gcd

nontrivial-factor

Additional benchmark results are available here.

Development

# Initialisation
poetry install
poetry run pre-commit install

# Linting and testing
poetry run pre-commit run --all-files
poetry run pytest

# Linting and testing for Cargo subproject
cd path/to/project
cargo fmt
cargo clippy
cargo test

# Linting and testing for Gradle subproject
cd path/to/project
./gradlew spotlessApply
./gradlew check

# Test run
./run.sh <options>  # for example, --all

# Release a new version
./scripts/make-release.sh <new_version>  # for example, 0.3.0rc1

License

MIT

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