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| [//]: # (Logo:) | |
| <div align="center"> | |
| PySR searches for symbolic expressions which optimize a particular objective. | |
| https://github.com/MilesCranmer/PySR/assets/7593028/c8511a49-b408-488f-8f18-b1749078268f | |
| # PySR: High-Performance Symbolic Regression in Python and Julia | |
| | **Docs** | **Forums** | **Paper** | **colab demo** | | |
| |:---:|:---:|:---:|:---:| | |
| |[](https://astroautomata.com/PySR/)|[](https://github.com/MilesCranmer/PySR/discussions)|[](https://arxiv.org/abs/2305.01582)|[](https://colab.research.google.com/github/MilesCranmer/PySR/blob/master/examples/pysr_demo.ipynb)| | |
| | **pip** | **conda** | **Stats** | | |
| | :---: | :---: | :---: | | |
| |[](https://badge.fury.io/py/pysr)|[](https://anaconda.org/conda-forge/pysr)|<div align="center">pip: [](https://pypi.org/project/pysr/)<br>conda: [](https://anaconda.org/conda-forge/pysr)</div>| | |
| </div> | |
| If you find PySR useful, please cite the paper [arXiv:2305.01582](https://arxiv.org/abs/2305.01582). | |
| If you've finished a project with PySR, please submit a PR to showcase your work on the [research showcase page](https://astroautomata.com/PySR/papers)! | |
| **Contents**: | |
| - [Why PySR?](#why-pysr) | |
| - [Installation](#installation) | |
| - [Quickstart](#quickstart) | |
| - [→ Documentation](https://astroautomata.com/PySR) | |
| - [Contributors](#contributors-) | |
| <div align="center"> | |
| ### Test status | |
| | **Linux** | **Windows** | **macOS** | | |
| |---|---|---| | |
| |[](https://github.com/MilesCranmer/PySR/actions/workflows/CI.yml)|[](https://github.com/MilesCranmer/PySR/actions/workflows/CI_Windows.yml)|[](https://github.com/MilesCranmer/PySR/actions/workflows/CI_mac.yml)| | |
| | **Docker** | **Conda** | **Coverage** | | |
| |[](https://github.com/MilesCranmer/PySR/actions/workflows/CI_docker.yml)|[](https://github.com/MilesCranmer/PySR/actions/workflows/CI_conda_forge.yml)|[](https://coveralls.io/github/MilesCranmer/PySR)| | |
| </div> | |
| ## Why PySR? | |
| PySR is an open-source tool for *Symbolic Regression*: a machine learning | |
| task where the goal is to find an interpretable symbolic expression that optimizes some objective. | |
| Over a period of several years, PySR has been engineered from the ground up | |
| to be (1) as high-performance as possible, | |
| (2) as configurable as possible, and (3) easy to use. | |
| PySR is developed alongside the Julia library [SymbolicRegression.jl](https://github.com/MilesCranmer/SymbolicRegression.jl), | |
| which forms the powerful search engine of PySR. | |
| The details of these algorithms are described in the [PySR paper](https://arxiv.org/abs/2305.01582). | |
| Symbolic regression works best on low-dimensional datasets, but | |
| one can also extend these approaches to higher-dimensional | |
| spaces by using "*Symbolic Distillation*" of Neural Networks, as explained in | |
| [2006.11287](https://arxiv.org/abs/2006.11287), where we apply | |
| it to N-body problems. Here, one essentially uses | |
| symbolic regression to convert a neural net | |
| to an analytic equation. Thus, these tools simultaneously present | |
| an explicit and powerful way to interpret deep neural networks. | |
| ## Installation | |
| ### Pip | |
| You can install PySR with pip: | |
| ```bash | |
| pip install pysr | |
| ``` | |
| Julia dependencies will be installed at first import. | |
| ### Conda | |
| Similarly, with conda: | |
| ```bash | |
| conda install -c conda-forge pysr | |
| ``` | |
| ### Docker | |
| You can also use the `Dockerfile` to install PySR in a docker container | |
| 1. Clone this repo. | |
| 2. Within the repo's directory, build the docker container: | |
| ```bash | |
| docker build -t pysr . | |
| ``` | |
| 3. You can then start the container with an IPython execution with: | |
| ```bash | |
| docker run -it --rm pysr ipython | |
| ``` | |
| For more details, see the [docker section](#docker). | |
| --- | |
| ### Troubleshooting | |
| One issue you might run into can result in a hard crash at import with | |
| a message like "`GLIBCXX_...` not found". This is due to another one of the Python dependencies | |
| loading an incorrect `libstdc++` library. To fix this, you should modify your | |
| `LD_LIBRARY_PATH` variable to reference the Julia libraries. For example, if the Julia | |
| version of `libstdc++.so` is located in `$HOME/.julia/juliaup/julia-1.10.0+0.x64.linux.gnu/lib/julia/` | |
| (which likely differs on your system!), you could add: | |
| ``` | |
| export LD_LIBRARY_PATH=$HOME/.julia/juliaup/julia-1.10.0+0.x64.linux.gnu/lib/julia/:$LD_LIBRARY_PATH | |
| ``` | |
| to your `.bashrc` or `.zshrc` file. | |
| ## Quickstart | |
| You might wish to try the interactive tutorial [here](https://colab.research.google.com/github/MilesCranmer/PySR/blob/master/examples/pysr_demo.ipynb), which uses the notebook in `examples/pysr_demo.ipynb`. | |
| In practice, I highly recommend using IPython rather than Jupyter, as the printing is much nicer. | |
| Below is a quick demo here which you can paste into a Python runtime. | |
| First, let's import numpy to generate some test data: | |
| ```python | |
| import numpy as np | |
| X = 2 * np.random.randn(100, 5) | |
| y = 2.5382 * np.cos(X[:, 3]) + X[:, 0] ** 2 - 0.5 | |
| ``` | |
| We have created a dataset with 100 datapoints, with 5 features each. | |
| The relation we wish to model is $2.5382 \cos(x_3) + x_0^2 - 0.5$. | |
| Now, let's create a PySR model and train it. | |
| PySR's main interface is in the style of scikit-learn: | |
| ```python | |
| from pysr import PySRRegressor | |
| model = PySRRegressor( | |
| niterations=40, # < Increase me for better results | |
| binary_operators=["+", "*"], | |
| unary_operators=[ | |
| "cos", | |
| "exp", | |
| "sin", | |
| "inv(x) = 1/x", | |
| # ^ Custom operator (julia syntax) | |
| ], | |
| extra_sympy_mappings={"inv": lambda x: 1 / x}, | |
| # ^ Define operator for SymPy as well | |
| elementwise_loss="loss(prediction, target) = (prediction - target)^2", | |
| # ^ Custom loss function (julia syntax) | |
| ) | |
| ``` | |
| This will set up the model for 40 iterations of the search code, which contains hundreds of thousands of mutations and equation evaluations. | |
| Let's train this model on our dataset: | |
| ```python | |
| model.fit(X, y) | |
| ``` | |
| Internally, this launches a Julia process which will do a multithreaded search for equations to fit the dataset. | |
| Equations will be printed during training, and once you are satisfied, you may | |
| quit early by hitting 'q' and then \<enter\>. | |
| After the model has been fit, you can run `model.predict(X)` | |
| to see the predictions on a given dataset using the automatically-selected expression, | |
| or, for example, `model.predict(X, 3)` to see the predictions of the 3rd equation. | |
| You may run: | |
| ```python | |
| print(model) | |
| ``` | |
| to print the learned equations: | |
| ```python | |
| PySRRegressor.equations_ = [ | |
| pick score equation loss complexity | |
| 0 0.000000 4.4324794 42.354317 1 | |
| 1 1.255691 (x0 * x0) 3.437307 3 | |
| 2 0.011629 ((x0 * x0) + -0.28087974) 3.358285 5 | |
| 3 0.897855 ((x0 * x0) + cos(x3)) 1.368308 6 | |
| 4 0.857018 ((x0 * x0) + (cos(x3) * 2.4566472)) 0.246483 8 | |
| 5 >>>> inf (((cos(x3) + -0.19699033) * 2.5382123) + (x0 *... 0.000000 10 | |
| ] | |
| ``` | |
| This arrow in the `pick` column indicates which equation is currently selected by your | |
| `model_selection` strategy for prediction. | |
| (You may change `model_selection` after `.fit(X, y)` as well.) | |
| `model.equations_` is a pandas DataFrame containing all equations, including callable format | |
| (`lambda_format`), | |
| SymPy format (`sympy_format` - which you can also get with `model.sympy()`), and even JAX and PyTorch format | |
| (both of which are differentiable - which you can get with `model.jax()` and `model.pytorch()`). | |
| Note that `PySRRegressor` stores the state of the last search, and will restart from where you left off the next time you call `.fit()`, assuming you have set `warm_start=True`. | |
| This will cause problems if significant changes are made to the search parameters (like changing the operators). You can run `model.reset()` to reset the state. | |
| You will notice that PySR will save two files: | |
| `hall_of_fame...csv` and `hall_of_fame...pkl`. | |
| The csv file is a list of equations and their losses, and the pkl file is a saved state of the model. | |
| You may load the model from the `pkl` file with: | |
| ```python | |
| model = PySRRegressor.from_file("hall_of_fame.2022-08-10_100832.281.pkl") | |
| ``` | |
| There are several other useful features such as denoising (e.g., `denoise=True`), | |
| feature selection (e.g., `select_k_features=3`). | |
| For examples of these and other features, see the [examples page](https://astroautomata.com/PySR/examples). | |
| For a detailed look at more options, see the [options page](https://astroautomata.com/PySR/options). | |
| You can also see the full API at [this page](https://astroautomata.com/PySR/api). | |
| There are also tips for tuning PySR on [this page](https://astroautomata.com/PySR/tuning). | |
| ### Detailed Example | |
| The following code makes use of as many PySR features as possible. | |
| Note that is just a demonstration of features and you should not use this example as-is. | |
| For details on what each parameter does, check out the [API page](https://astroautomata.com/PySR/api/). | |
| ```python | |
| model = PySRRegressor( | |
| procs=4, | |
| populations=8, | |
| # ^ 2 populations per core, so one is always running. | |
| population_size=50, | |
| # ^ Slightly larger populations, for greater diversity. | |
| ncycles_per_iteration=500, | |
| # ^ Generations between migrations. | |
| niterations=10000000, # Run forever | |
| early_stop_condition=( | |
| "stop_if(loss, complexity) = loss < 1e-6 && complexity < 10" | |
| # Stop early if we find a good and simple equation | |
| ), | |
| timeout_in_seconds=60 * 60 * 24, | |
| # ^ Alternatively, stop after 24 hours have passed. | |
| maxsize=50, | |
| # ^ Allow greater complexity. | |
| maxdepth=10, | |
| # ^ But, avoid deep nesting. | |
| binary_operators=["*", "+", "-", "/"], | |
| unary_operators=["square", "cube", "exp", "cos2(x)=cos(x)^2"], | |
| constraints={ | |
| "/": (-1, 9), | |
| "square": 9, | |
| "cube": 9, | |
| "exp": 9, | |
| }, | |
| # ^ Limit the complexity within each argument. | |
| # "inv": (-1, 9) states that the numerator has no constraint, | |
| # but the denominator has a max complexity of 9. | |
| # "exp": 9 simply states that `exp` can only have | |
| # an expression of complexity 9 as input. | |
| nested_constraints={ | |
| "square": {"square": 1, "cube": 1, "exp": 0}, | |
| "cube": {"square": 1, "cube": 1, "exp": 0}, | |
| "exp": {"square": 1, "cube": 1, "exp": 0}, | |
| }, | |
| # ^ Nesting constraints on operators. For example, | |
| # "square(exp(x))" is not allowed, since "square": {"exp": 0}. | |
| complexity_of_operators={"/": 2, "exp": 3}, | |
| # ^ Custom complexity of particular operators. | |
| complexity_of_constants=2, | |
| # ^ Punish constants more than variables | |
| select_k_features=4, | |
| # ^ Train on only the 4 most important features | |
| progress=True, | |
| # ^ Can set to false if printing to a file. | |
| weight_randomize=0.1, | |
| # ^ Randomize the tree much more frequently | |
| cluster_manager=None, | |
| # ^ Can be set to, e.g., "slurm", to run a slurm | |
| # cluster. Just launch one script from the head node. | |
| precision=64, | |
| # ^ Higher precision calculations. | |
| warm_start=True, | |
| # ^ Start from where left off. | |
| turbo=True, | |
| # ^ Faster evaluation (experimental) | |
| julia_project=None, | |
| # ^ Can set to the path of a folder containing the | |
| # "SymbolicRegression.jl" repo, for custom modifications. | |
| update=False, | |
| # ^ Don't update Julia packages | |
| extra_sympy_mappings={"cos2": lambda x: sympy.cos(x)**2}, | |
| # extra_torch_mappings={sympy.cos: torch.cos}, | |
| # ^ Not needed as cos already defined, but this | |
| # is how you define custom torch operators. | |
| # extra_jax_mappings={sympy.cos: "jnp.cos"}, | |
| # ^ For JAX, one passes a string. | |
| ) | |
| ``` | |
| ### Docker | |
| You can also test out PySR in Docker, without | |
| installing it locally, by running the following command in | |
| the root directory of this repo: | |
| ```bash | |
| docker build -t pysr . | |
| ``` | |
| This builds an image called `pysr` for your system's architecture, | |
| which also contains IPython. | |
| You can then run this with: | |
| ```bash | |
| docker run -it --rm -v "$PWD:/data" pysr ipython | |
| ``` | |
| which will link the current directory to the container's `/data` directory | |
| and then launch ipython. | |
| If you have issues building for your system's architecture, | |
| you can emulate another architecture by including `--platform linux/amd64`, | |
| before the `build` and `run` commands. | |
| <div align="center"> | |
| ### Contributors ✨ | |
| </div> | |
| We are eager to welcome new contributors! Check out our contributors [guide](https://github.com/MilesCranmer/PySR/blob/master/CONTRIBUTORS.md) for tips 🚀. | |
| If you have an idea for a new feature, don't hesitate to share it on the [issues](https://github.com/MilesCranmer/PySR/issues) or [discussions](https://github.com/MilesCranmer/PySR/discussions) page. | |
| <!-- ALL-CONTRIBUTORS-LIST:START - Do not remove or modify this section --> | |
| <!-- prettier-ignore-start --> | |
| <!-- markdownlint-disable --> | |
| <table> | |
| <tbody> | |
| <tr> | |
| <td align="center" valign="top" width="12.5%"><a href="https://www.linkedin.com/in/markkittisopikul/"><img src="https://avatars.githubusercontent.com/u/8062771?v=4?s=50" width="50px;" alt="Mark Kittisopikul"/><br /><sub><b>Mark Kittisopikul</b></sub></a><br /><a href="https://github.com/MilesCranmer/PySR/commits?author=mkitti" title="Code">💻</a> <a href="#ideas-mkitti" title="Ideas, planning, and feedback.">💡</a> <a href="#infra-mkitti" title="Infrastructure (Hosting, Build-Tools, etc)">🚇</a> <a href="#platform-mkitti" title="Packaging/porting to new platform">📦</a> <a href="#promotion-mkitti" title="Promotion">📣</a> <a href="https://github.com/MilesCranmer/PySR/pulls?q=is%3Apr+reviewed-by%3Amkitti" title="Reviewed Pull Requests">👀</a> <a href="#tool-mkitti" title="Tools">🔧</a> <a href="https://github.com/MilesCranmer/PySR/commits?author=mkitti" title="Tests">⚠️</a></td> | |
| <td align="center" valign="top" width="12.5%"><a href="https://github.com/tttc3"><img src="https://avatars.githubusercontent.com/u/97948946?v=4?s=50" width="50px;" alt="T Coxon"/><br /><sub><b>T Coxon</b></sub></a><br /><a href="https://github.com/MilesCranmer/PySR/issues?q=author%3Atttc3" title="Bug reports">🐛</a> <a href="https://github.com/MilesCranmer/PySR/commits?author=tttc3" title="Code">💻</a> <a href="#plugin-tttc3" title="Plugin/utility libraries">🔌</a> <a href="#ideas-tttc3" title="Ideas, planning, and feedback.">💡</a> <a href="#infra-tttc3" title="Infrastructure (Hosting, Build-Tools, etc)">🚇</a> <a href="#maintenance-tttc3" title="Maintenance">🚧</a> <a href="https://github.com/MilesCranmer/PySR/pulls?q=is%3Apr+reviewed-by%3Atttc3" title="Reviewed Pull Requests">👀</a> <a href="#tool-tttc3" title="Tools">🔧</a> <a href="https://github.com/MilesCranmer/PySR/commits?author=tttc3" title="Tests">⚠️</a> <a href="#userTesting-tttc3" title="User Testing">📓</a></td> | |
| <td align="center" valign="top" width="12.5%"><a href="https://github.com/DhananjayAshok"><img src="https://avatars.githubusercontent.com/u/46792537?v=4?s=50" width="50px;" alt="Dhananjay Ashok"/><br /><sub><b>Dhananjay Ashok</b></sub></a><br /><a href="https://github.com/MilesCranmer/PySR/commits?author=DhananjayAshok" title="Code">💻</a> <a href="#example-DhananjayAshok" title="Examples.">🌍</a> <a href="#ideas-DhananjayAshok" title="Ideas, planning, and feedback.">💡</a> <a href="#maintenance-DhananjayAshok" title="Maintenance">🚧</a> <a href="https://github.com/MilesCranmer/PySR/commits?author=DhananjayAshok" title="Tests">⚠️</a></td> | |
| <td align="center" valign="top" width="12.5%"><a href="https://gitlab.com/johanbluecreek"><img src="https://avatars.githubusercontent.com/u/852554?v=4?s=50" width="50px;" alt="Johan Blåbäck"/><br /><sub><b>Johan Blåbäck</b></sub></a><br /><a href="https://github.com/MilesCranmer/PySR/issues?q=author%3Ajohanbluecreek" title="Bug reports">🐛</a> <a href="https://github.com/MilesCranmer/PySR/commits?author=johanbluecreek" title="Code">💻</a> <a href="#ideas-johanbluecreek" title="Ideas, planning, and feedback.">💡</a> <a href="#maintenance-johanbluecreek" title="Maintenance">🚧</a> <a href="#promotion-johanbluecreek" title="Promotion">📣</a> <a href="https://github.com/MilesCranmer/PySR/pulls?q=is%3Apr+reviewed-by%3Ajohanbluecreek" title="Reviewed Pull Requests">👀</a> <a href="https://github.com/MilesCranmer/PySR/commits?author=johanbluecreek" title="Tests">⚠️</a> <a href="#userTesting-johanbluecreek" title="User Testing">📓</a></td> | |
| <td align="center" valign="top" width="12.5%"><a href="https://mathopt.de/people/martensen/index.php"><img src="https://avatars.githubusercontent.com/u/20998300?v=4?s=50" width="50px;" alt="JuliusMartensen"/><br /><sub><b>JuliusMartensen</b></sub></a><br /><a href="https://github.com/MilesCranmer/PySR/issues?q=author%3AAlCap23" title="Bug reports">🐛</a> <a href="https://github.com/MilesCranmer/PySR/commits?author=AlCap23" title="Code">💻</a> <a href="https://github.com/MilesCranmer/PySR/commits?author=AlCap23" title="Documentation">📖</a> <a href="#plugin-AlCap23" title="Plugin/utility libraries">🔌</a> <a href="#ideas-AlCap23" title="Ideas, planning, and feedback.">💡</a> <a href="#infra-AlCap23" title="Infrastructure (Hosting, Build-Tools, etc)">🚇</a> <a href="#maintenance-AlCap23" title="Maintenance">🚧</a> <a href="#platform-AlCap23" title="Packaging/porting to new platform">📦</a> <a href="#promotion-AlCap23" title="Promotion">📣</a> <a href="https://github.com/MilesCranmer/PySR/pulls?q=is%3Apr+reviewed-by%3AAlCap23" title="Reviewed Pull Requests">👀</a> <a href="#tool-AlCap23" title="Tools">🔧</a> <a href="#userTesting-AlCap23" title="User Testing">📓</a></td> | |
| <td align="center" valign="top" width="12.5%"><a href="https://github.com/ngam"><img src="https://avatars.githubusercontent.com/u/67342040?v=4?s=50" width="50px;" alt="ngam"/><br /><sub><b>ngam</b></sub></a><br /><a href="https://github.com/MilesCranmer/PySR/commits?author=ngam" title="Code">💻</a> <a href="#infra-ngam" title="Infrastructure (Hosting, Build-Tools, etc)">🚇</a> <a href="#platform-ngam" title="Packaging/porting to new platform">📦</a> <a href="https://github.com/MilesCranmer/PySR/pulls?q=is%3Apr+reviewed-by%3Angam" title="Reviewed Pull Requests">👀</a> <a href="#tool-ngam" title="Tools">🔧</a> <a href="https://github.com/MilesCranmer/PySR/commits?author=ngam" title="Tests">⚠️</a></td> | |
| <td align="center" valign="top" width="12.5%"><a href="https://cjdoris.github.io/"><img src="https://avatars.githubusercontent.com/u/1844215?v=4?s=50" width="50px;" alt="Christopher Rowley"/><br /><sub><b>Christopher Rowley</b></sub></a><br /><a href="https://github.com/MilesCranmer/PySR/commits?author=cjdoris" title="Code">💻</a> <a href="#ideas-cjdoris" title="Ideas, planning, and feedback.">💡</a> <a href="#infra-cjdoris" title="Infrastructure (Hosting, Build-Tools, etc)">🚇</a> <a href="#platform-cjdoris" title="Packaging/porting to new platform">📦</a> <a href="https://github.com/MilesCranmer/PySR/pulls?q=is%3Apr+reviewed-by%3Acjdoris" title="Reviewed Pull Requests">👀</a></td> | |
| <td align="center" valign="top" width="12.5%"><a href="https://github.com/kazewong"><img src="https://avatars.githubusercontent.com/u/8803931?v=4?s=50" width="50px;" alt="Kaze Wong"/><br /><sub><b>Kaze Wong</b></sub></a><br /><a href="https://github.com/MilesCranmer/PySR/issues?q=author%3Akazewong" title="Bug reports">🐛</a> <a href="https://github.com/MilesCranmer/PySR/commits?author=kazewong" title="Code">💻</a> <a href="#ideas-kazewong" title="Ideas, planning, and feedback.">💡</a> <a href="#infra-kazewong" title="Infrastructure (Hosting, Build-Tools, etc)">🚇</a> <a href="#maintenance-kazewong" title="Maintenance">🚧</a> <a href="#promotion-kazewong" title="Promotion">📣</a> <a href="https://github.com/MilesCranmer/PySR/pulls?q=is%3Apr+reviewed-by%3Akazewong" title="Reviewed Pull Requests">👀</a> <a href="#research-kazewong" title="Research">🔬</a> <a href="#userTesting-kazewong" title="User Testing">📓</a></td> | |
| </tr> | |
| <tr> | |
| <td align="center" valign="top" width="12.5%"><a href="https://github.com/ChrisRackauckas"><img src="https://avatars.githubusercontent.com/u/1814174?v=4?s=50" width="50px;" alt="Christopher Rackauckas"/><br /><sub><b>Christopher Rackauckas</b></sub></a><br /><a href="https://github.com/MilesCranmer/PySR/issues?q=author%3AChrisRackauckas" title="Bug reports">🐛</a> <a href="https://github.com/MilesCranmer/PySR/commits?author=ChrisRackauckas" title="Code">💻</a> <a href="#plugin-ChrisRackauckas" title="Plugin/utility libraries">🔌</a> <a href="#ideas-ChrisRackauckas" title="Ideas, planning, and feedback.">💡</a> <a href="#infra-ChrisRackauckas" title="Infrastructure (Hosting, Build-Tools, etc)">🚇</a> <a href="#promotion-ChrisRackauckas" title="Promotion">📣</a> <a href="https://github.com/MilesCranmer/PySR/pulls?q=is%3Apr+reviewed-by%3AChrisRackauckas" title="Reviewed Pull Requests">👀</a> <a href="#research-ChrisRackauckas" title="Research">🔬</a> <a href="#tool-ChrisRackauckas" title="Tools">🔧</a> <a href="https://github.com/MilesCranmer/PySR/commits?author=ChrisRackauckas" title="Tests">⚠️</a> <a href="#userTesting-ChrisRackauckas" title="User Testing">📓</a></td> | |
| <td align="center" valign="top" width="12.5%"><a href="https://kidger.site/"><img src="https://avatars.githubusercontent.com/u/33688385?v=4?s=50" width="50px;" alt="Patrick Kidger"/><br /><sub><b>Patrick Kidger</b></sub></a><br /><a href="https://github.com/MilesCranmer/PySR/issues?q=author%3Apatrick-kidger" title="Bug reports">🐛</a> <a href="https://github.com/MilesCranmer/PySR/commits?author=patrick-kidger" title="Code">💻</a> <a href="https://github.com/MilesCranmer/PySR/commits?author=patrick-kidger" title="Documentation">📖</a> <a href="#plugin-patrick-kidger" title="Plugin/utility libraries">🔌</a> <a href="#ideas-patrick-kidger" title="Ideas, planning, and feedback.">💡</a> <a href="#maintenance-patrick-kidger" title="Maintenance">🚧</a> <a href="#promotion-patrick-kidger" title="Promotion">📣</a> <a href="https://github.com/MilesCranmer/PySR/pulls?q=is%3Apr+reviewed-by%3Apatrick-kidger" title="Reviewed Pull Requests">👀</a> <a href="#research-patrick-kidger" title="Research">🔬</a> <a href="#tool-patrick-kidger" title="Tools">🔧</a> <a href="https://github.com/MilesCranmer/PySR/commits?author=patrick-kidger" title="Tests">⚠️</a> <a href="#userTesting-patrick-kidger" title="User Testing">📓</a></td> | |
| <td align="center" valign="top" width="12.5%"><a href="https://github.com/OkonSamuel"><img src="https://avatars.githubusercontent.com/u/39421418?v=4?s=50" width="50px;" alt="Okon Samuel"/><br /><sub><b>Okon Samuel</b></sub></a><br /><a href="https://github.com/MilesCranmer/PySR/issues?q=author%3AOkonSamuel" title="Bug reports">🐛</a> <a href="https://github.com/MilesCranmer/PySR/commits?author=OkonSamuel" title="Code">💻</a> <a href="https://github.com/MilesCranmer/PySR/commits?author=OkonSamuel" title="Documentation">📖</a> <a href="#maintenance-OkonSamuel" title="Maintenance">🚧</a> <a href="#ideas-OkonSamuel" title="Ideas, planning, and feedback.">💡</a> <a href="#infra-OkonSamuel" title="Infrastructure (Hosting, Build-Tools, etc)">🚇</a> <a href="https://github.com/MilesCranmer/PySR/pulls?q=is%3Apr+reviewed-by%3AOkonSamuel" title="Reviewed Pull Requests">👀</a> <a href="https://github.com/MilesCranmer/PySR/commits?author=OkonSamuel" title="Tests">⚠️</a> <a href="#userTesting-OkonSamuel" title="User Testing">📓</a></td> | |
| <td align="center" valign="top" width="12.5%"><a href="https://github.com/w2ll2am"><img src="https://avatars.githubusercontent.com/u/16038228?v=4?s=50" width="50px;" alt="William Booth-Clibborn"/><br /><sub><b>William Booth-Clibborn</b></sub></a><br /><a href="https://github.com/MilesCranmer/PySR/commits?author=w2ll2am" title="Code">💻</a> <a href="#example-w2ll2am" title="Examples.">🌍</a> <a href="https://github.com/MilesCranmer/PySR/commits?author=w2ll2am" title="Documentation">📖</a> <a href="#userTesting-w2ll2am" title="User Testing">📓</a> <a href="#maintenance-w2ll2am" title="Maintenance">🚧</a> <a href="https://github.com/MilesCranmer/PySR/pulls?q=is%3Apr+reviewed-by%3Aw2ll2am" title="Reviewed Pull Requests">👀</a> <a href="#tool-w2ll2am" title="Tools">🔧</a> <a href="https://github.com/MilesCranmer/PySR/commits?author=w2ll2am" title="Tests">⚠️</a></td> | |
| <td align="center" valign="top" width="12.5%"><a href="https://pablo-lemos.github.io/"><img src="https://avatars.githubusercontent.com/u/38078898?v=4?s=50" width="50px;" alt="Pablo Lemos"/><br /><sub><b>Pablo Lemos</b></sub></a><br /><a href="https://github.com/MilesCranmer/PySR/issues?q=author%3APablo-Lemos" title="Bug reports">🐛</a> <a href="#ideas-Pablo-Lemos" title="Ideas, planning, and feedback.">💡</a> <a href="#promotion-Pablo-Lemos" title="Promotion">📣</a> <a href="https://github.com/MilesCranmer/PySR/pulls?q=is%3Apr+reviewed-by%3APablo-Lemos" title="Reviewed Pull Requests">👀</a> <a href="#research-Pablo-Lemos" title="Research">🔬</a> <a href="#userTesting-Pablo-Lemos" title="User Testing">📓</a></td> | |
| <td align="center" valign="top" width="12.5%"><a href="https://github.com/Moelf"><img src="https://avatars.githubusercontent.com/u/5306213?v=4?s=50" width="50px;" alt="Jerry Ling"/><br /><sub><b>Jerry Ling</b></sub></a><br /><a href="https://github.com/MilesCranmer/PySR/issues?q=author%3AMoelf" title="Bug reports">🐛</a> <a href="https://github.com/MilesCranmer/PySR/commits?author=Moelf" title="Code">💻</a> <a href="https://github.com/MilesCranmer/PySR/commits?author=Moelf" title="Documentation">📖</a> <a href="#example-Moelf" title="Examples.">🌍</a> <a href="#ideas-Moelf" title="Ideas, planning, and feedback.">💡</a> <a href="#promotion-Moelf" title="Promotion">📣</a> <a href="https://github.com/MilesCranmer/PySR/pulls?q=is%3Apr+reviewed-by%3AMoelf" title="Reviewed Pull Requests">👀</a> <a href="#userTesting-Moelf" title="User Testing">📓</a></td> | |
| <td align="center" valign="top" width="12.5%"><a href="https://github.com/CharFox1"><img src="https://avatars.githubusercontent.com/u/35052672?v=4?s=50" width="50px;" alt="Charles Fox"/><br /><sub><b>Charles Fox</b></sub></a><br /><a href="https://github.com/MilesCranmer/PySR/issues?q=author%3ACharFox1" title="Bug reports">🐛</a> <a href="https://github.com/MilesCranmer/PySR/commits?author=CharFox1" title="Code">💻</a> <a href="#ideas-CharFox1" title="Ideas, planning, and feedback.">💡</a> <a href="#maintenance-CharFox1" title="Maintenance">🚧</a> <a href="#promotion-CharFox1" title="Promotion">📣</a> <a href="https://github.com/MilesCranmer/PySR/pulls?q=is%3Apr+reviewed-by%3ACharFox1" title="Reviewed Pull Requests">👀</a> <a href="#research-CharFox1" title="Research">🔬</a> <a href="#userTesting-CharFox1" title="User Testing">📓</a></td> | |
| <td align="center" valign="top" width="12.5%"><a href="https://github.com/johannbrehmer"><img src="https://avatars.githubusercontent.com/u/17068560?v=4?s=50" width="50px;" alt="Johann Brehmer"/><br /><sub><b>Johann Brehmer</b></sub></a><br /><a href="https://github.com/MilesCranmer/PySR/commits?author=johannbrehmer" title="Code">💻</a> <a href="https://github.com/MilesCranmer/PySR/commits?author=johannbrehmer" title="Documentation">📖</a> <a href="#ideas-johannbrehmer" title="Ideas, planning, and feedback.">💡</a> <a href="#promotion-johannbrehmer" title="Promotion">📣</a> <a href="https://github.com/MilesCranmer/PySR/pulls?q=is%3Apr+reviewed-by%3Ajohannbrehmer" title="Reviewed Pull Requests">👀</a> <a href="#research-johannbrehmer" title="Research">🔬</a> <a href="https://github.com/MilesCranmer/PySR/commits?author=johannbrehmer" title="Tests">⚠️</a> <a href="#userTesting-johannbrehmer" title="User Testing">📓</a></td> | |
| </tr> | |
| <tr> | |
| <td align="center" valign="top" width="12.5%"><a href="http://www.cosmicmar.com/"><img src="https://avatars.githubusercontent.com/u/1510968?v=4?s=50" width="50px;" alt="Marius Millea"/><br /><sub><b>Marius Millea</b></sub></a><br /><a href="https://github.com/MilesCranmer/PySR/commits?author=marius311" title="Code">💻</a> <a href="#ideas-marius311" title="Ideas, planning, and feedback.">💡</a> <a href="#promotion-marius311" title="Promotion">📣</a> <a href="https://github.com/MilesCranmer/PySR/pulls?q=is%3Apr+reviewed-by%3Amarius311" title="Reviewed Pull Requests">👀</a> <a href="#userTesting-marius311" title="User Testing">📓</a></td> | |
| <td align="center" valign="top" width="12.5%"><a href="https://gitlab.com/cobac"><img src="https://avatars.githubusercontent.com/u/27872944?v=4?s=50" width="50px;" alt="Coba"/><br /><sub><b>Coba</b></sub></a><br /><a href="https://github.com/MilesCranmer/PySR/issues?q=author%3Acobac" title="Bug reports">🐛</a> <a href="https://github.com/MilesCranmer/PySR/commits?author=cobac" title="Code">💻</a> <a href="#ideas-cobac" title="Ideas, planning, and feedback.">💡</a> <a href="https://github.com/MilesCranmer/PySR/pulls?q=is%3Apr+reviewed-by%3Acobac" title="Reviewed Pull Requests">👀</a> <a href="#userTesting-cobac" title="User Testing">📓</a></td> | |
| <td align="center" valign="top" width="12.5%"><a href="https://github.com/foxtran"><img src="https://avatars.githubusercontent.com/u/39676482?v=4?s=50" width="50px;" alt="foxtran"/><br /><sub><b>foxtran</b></sub></a><br /><a href="https://github.com/MilesCranmer/PySR/commits?author=foxtran" title="Code">💻</a> <a href="#ideas-foxtran" title="Ideas, planning, and feedback.">💡</a> <a href="#maintenance-foxtran" title="Maintenance">🚧</a> <a href="#tool-foxtran" title="Tools">🔧</a> <a href="#userTesting-foxtran" title="User Testing">📓</a></td> | |
| <td align="center" valign="top" width="12.5%"><a href="https://smhasan.com/"><img src="https://avatars.githubusercontent.com/u/36223598?v=4?s=50" width="50px;" alt="Shah Mahdi Hasan "/><br /><sub><b>Shah Mahdi Hasan </b></sub></a><br /><a href="https://github.com/MilesCranmer/PySR/issues?q=author%3Atanweer-mahdi" title="Bug reports">🐛</a> <a href="https://github.com/MilesCranmer/PySR/commits?author=tanweer-mahdi" title="Code">💻</a> <a href="https://github.com/MilesCranmer/PySR/pulls?q=is%3Apr+reviewed-by%3Atanweer-mahdi" title="Reviewed Pull Requests">👀</a> <a href="#userTesting-tanweer-mahdi" title="User Testing">📓</a></td> | |
| <td align="center" valign="top" width="12.5%"><a href="https://github.com/pitmonticone"><img src="https://avatars.githubusercontent.com/u/38562595?v=4?s=50" width="50px;" alt="Pietro Monticone"/><br /><sub><b>Pietro Monticone</b></sub></a><br /><a href="https://github.com/MilesCranmer/PySR/issues?q=author%3Apitmonticone" title="Bug reports">🐛</a> <a href="https://github.com/MilesCranmer/PySR/commits?author=pitmonticone" title="Documentation">📖</a> <a href="#ideas-pitmonticone" title="Ideas, planning, and feedback.">💡</a></td> | |
| <td align="center" valign="top" width="12.5%"><a href="https://github.com/sheevy"><img src="https://avatars.githubusercontent.com/u/1525683?v=4?s=50" width="50px;" alt="Mateusz Kubica"/><br /><sub><b>Mateusz Kubica</b></sub></a><br /><a href="https://github.com/MilesCranmer/PySR/commits?author=sheevy" title="Documentation">📖</a> <a href="#ideas-sheevy" title="Ideas, planning, and feedback.">💡</a></td> | |
| <td align="center" valign="top" width="12.5%"><a href="https://jaywadekar.github.io/"><img src="https://avatars.githubusercontent.com/u/5493388?v=4?s=50" width="50px;" alt="Jay Wadekar"/><br /><sub><b>Jay Wadekar</b></sub></a><br /><a href="https://github.com/MilesCranmer/PySR/issues?q=author%3AJayWadekar" title="Bug reports">🐛</a> <a href="#ideas-JayWadekar" title="Ideas, planning, and feedback.">💡</a> <a href="#promotion-JayWadekar" title="Promotion">📣</a> <a href="#research-JayWadekar" title="Research">🔬</a></td> | |
| <td align="center" valign="top" width="12.5%"><a href="https://github.com/ablaom"><img src="https://avatars.githubusercontent.com/u/30517088?v=4?s=50" width="50px;" alt="Anthony Blaom, PhD"/><br /><sub><b>Anthony Blaom, PhD</b></sub></a><br /><a href="#infra-ablaom" title="Infrastructure (Hosting, Build-Tools, etc)">🚇</a> <a href="#ideas-ablaom" title="Ideas, planning, and feedback.">💡</a> <a href="https://github.com/MilesCranmer/PySR/pulls?q=is%3Apr+reviewed-by%3Aablaom" title="Reviewed Pull Requests">👀</a></td> | |
| </tr> | |
| <tr> | |
| <td align="center" valign="top" width="12.5%"><a href="https://github.com/Jgmedina95"><img src="https://avatars.githubusercontent.com/u/97254349?v=4?s=50" width="50px;" alt="Jgmedina95"/><br /><sub><b>Jgmedina95</b></sub></a><br /><a href="https://github.com/MilesCranmer/PySR/issues?q=author%3AJgmedina95" title="Bug reports">🐛</a> <a href="#ideas-Jgmedina95" title="Ideas, planning, and feedback.">💡</a> <a href="https://github.com/MilesCranmer/PySR/pulls?q=is%3Apr+reviewed-by%3AJgmedina95" title="Reviewed Pull Requests">👀</a></td> | |
| <td align="center" valign="top" width="12.5%"><a href="https://github.com/mcabbott"><img src="https://avatars.githubusercontent.com/u/32575566?v=4?s=50" width="50px;" alt="Michael Abbott"/><br /><sub><b>Michael Abbott</b></sub></a><br /><a href="https://github.com/MilesCranmer/PySR/commits?author=mcabbott" title="Code">💻</a> <a href="#ideas-mcabbott" title="Ideas, planning, and feedback.">💡</a> <a href="https://github.com/MilesCranmer/PySR/pulls?q=is%3Apr+reviewed-by%3Amcabbott" title="Reviewed Pull Requests">👀</a> <a href="#tool-mcabbott" title="Tools">🔧</a></td> | |
| <td align="center" valign="top" width="12.5%"><a href="https://github.com/oscardssmith"><img src="https://avatars.githubusercontent.com/u/11729272?v=4?s=50" width="50px;" alt="Oscar Smith"/><br /><sub><b>Oscar Smith</b></sub></a><br /><a href="https://github.com/MilesCranmer/PySR/commits?author=oscardssmith" title="Code">💻</a> <a href="#ideas-oscardssmith" title="Ideas, planning, and feedback.">💡</a></td> | |
| <td align="center" valign="top" width="12.5%"><a href="https://ericphanson.com/"><img src="https://avatars.githubusercontent.com/u/5846501?v=4?s=50" width="50px;" alt="Eric Hanson"/><br /><sub><b>Eric Hanson</b></sub></a><br /><a href="#ideas-ericphanson" title="Ideas, planning, and feedback.">💡</a> <a href="#promotion-ericphanson" title="Promotion">📣</a> <a href="#userTesting-ericphanson" title="User Testing">📓</a></td> | |
| <td align="center" valign="top" width="12.5%"><a href="https://github.com/henriquebecker91"><img src="https://avatars.githubusercontent.com/u/14113435?v=4?s=50" width="50px;" alt="Henrique Becker"/><br /><sub><b>Henrique Becker</b></sub></a><br /><a href="https://github.com/MilesCranmer/PySR/commits?author=henriquebecker91" title="Code">💻</a> <a href="#ideas-henriquebecker91" title="Ideas, planning, and feedback.">💡</a> <a href="https://github.com/MilesCranmer/PySR/pulls?q=is%3Apr+reviewed-by%3Ahenriquebecker91" title="Reviewed Pull Requests">👀</a></td> | |
| <td align="center" valign="top" width="12.5%"><a href="https://github.com/qwertyjl"><img src="https://avatars.githubusercontent.com/u/110912592?v=4?s=50" width="50px;" alt="qwertyjl"/><br /><sub><b>qwertyjl</b></sub></a><br /><a href="https://github.com/MilesCranmer/PySR/issues?q=author%3Aqwertyjl" title="Bug reports">🐛</a> <a href="https://github.com/MilesCranmer/PySR/commits?author=qwertyjl" title="Documentation">📖</a> <a href="#ideas-qwertyjl" title="Ideas, planning, and feedback.">💡</a> <a href="#userTesting-qwertyjl" title="User Testing">📓</a></td> | |
| <td align="center" valign="top" width="12.5%"><a href="https://huijzer.xyz/"><img src="https://avatars.githubusercontent.com/u/20724914?v=4?s=50" width="50px;" alt="Rik Huijzer"/><br /><sub><b>Rik Huijzer</b></sub></a><br /><a href="#ideas-rikhuijzer" title="Ideas, planning, and feedback.">💡</a> <a href="#infra-rikhuijzer" title="Infrastructure (Hosting, Build-Tools, etc)">🚇</a></td> | |
| <td align="center" valign="top" width="12.5%"><a href="https://github.com/GCaptainNemo"><img src="https://avatars.githubusercontent.com/u/43086239?v=4?s=50" width="50px;" alt="Hongyu Wang"/><br /><sub><b>Hongyu Wang</b></sub></a><br /><a href="#ideas-GCaptainNemo" title="Ideas, planning, and feedback.">💡</a> <a href="#promotion-GCaptainNemo" title="Promotion">📣</a> <a href="#research-GCaptainNemo" title="Research">🔬</a></td> | |
| </tr> | |
| <tr> | |
| <td align="center" valign="top" width="12.5%"><a href="https://github.com/ZehaoJin"><img src="https://avatars.githubusercontent.com/u/50961376?v=4?s=50" width="50px;" alt="Zehao Jin"/><br /><sub><b>Zehao Jin</b></sub></a><br /><a href="#research-ZehaoJin" title="Research">🔬</a> <a href="#promotion-ZehaoJin" title="Promotion">📣</a></td> | |
| <td align="center" valign="top" width="12.5%"><a href="https://github.com/tmengel"><img src="https://avatars.githubusercontent.com/u/38924390?v=4?s=50" width="50px;" alt="Tanner Mengel"/><br /><sub><b>Tanner Mengel</b></sub></a><br /><a href="#research-tmengel" title="Research">🔬</a> <a href="#promotion-tmengel" title="Promotion">📣</a></td> | |
| <td align="center" valign="top" width="12.5%"><a href="https://github.com/agrundner24"><img src="https://avatars.githubusercontent.com/u/38557656?v=4?s=50" width="50px;" alt="Arthur Grundner"/><br /><sub><b>Arthur Grundner</b></sub></a><br /><a href="#research-agrundner24" title="Research">🔬</a> <a href="#promotion-agrundner24" title="Promotion">📣</a></td> | |
| <td align="center" valign="top" width="12.5%"><a href="https://github.com/sjwetzel"><img src="https://avatars.githubusercontent.com/u/24393721?v=4?s=50" width="50px;" alt="sjwetzel"/><br /><sub><b>sjwetzel</b></sub></a><br /><a href="#research-sjwetzel" title="Research">🔬</a> <a href="#promotion-sjwetzel" title="Promotion">📣</a> <a href="#userTesting-sjwetzel" title="User Testing">📓</a></td> | |
| <td align="center" valign="top" width="12.5%"><a href="https://sauravmaheshkar.github.io/"><img src="https://avatars.githubusercontent.com/u/61241031?v=4?s=50" width="50px;" alt="Saurav Maheshkar"/><br /><sub><b>Saurav Maheshkar</b></sub></a><br /><a href="#tool-SauravMaheshkar" title="Tools">🔧</a></td> | |
| </tr> | |
| </tbody> | |
| </table> | |
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