Repositories list

• ChainRulesTestUtils.jl

  Public
  Utilities for testing custom AD primitives.

  automatic-differentiationhacktoberfestautodiff

  automatic-differentiationhacktoberfestautodiff

  Julia

  •

  MIT License

  •1818 forks in JuliaDiff/ChainRulesTestUtils.jl•5050 stars in JuliaDiff/ChainRulesTestUtils.jl•6565 issues in JuliaDiff/ChainRulesTestUtils.jl•77 pull requests in JuliaDiff/ChainRulesTestUtils.jl•Updated Oct 30, 2026Oct 30, 2026

• ChainRulesCore.jl

  Public
  AD-backend agnostic system defining custom forward and reverse mode rules. This is the light weight core to allow you to define rules for your functions in your…

  juliaautomatic-differentiationhacktoberfest

  juliaautomatic-differentiationhacktoberfest

  Julia

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  Other

  •6666 forks in JuliaDiff/ChainRulesCore.jl•267267 stars in JuliaDiff/ChainRulesCore.jl•112112 issues in JuliaDiff/ChainRulesCore.jl•2626 pull requests in JuliaDiff/ChainRulesCore.jl•Updated Oct 30, 2026Oct 30, 2026

• DifferentiationInterface.jl

  Public
  An interface to various automatic differentiation backends in Julia.

  machine-learningjuliaautomatic-differentiation+ 2

  machine-learningjuliaautomatic-differentiationdifferentiationautodiff

  Julia

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  MIT License

  •3838 forks in JuliaDiff/DifferentiationInterface.jl•317317 stars in JuliaDiff/DifferentiationInterface.jl•7272 issues in JuliaDiff/DifferentiationInterface.jl•66 pull requests in JuliaDiff/DifferentiationInterface.jl•Updated Oct 30, 2026Oct 30, 2026

• ChainRules.jl

  Public
  forward and reverse mode automatic differentiation primitives for Julia Base + StdLibs

  juliaautomatic-differentiationhacktoberfest+ 3

  juliaautomatic-differentiationhacktoberfestreverse-modeforward-modemixed-mode

  Julia

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  Other

  •100100 forks in JuliaDiff/ChainRules.jl•478478 stars in JuliaDiff/ChainRules.jl•9797 issues in JuliaDiff/ChainRules.jl•3434 pull requests in JuliaDiff/ChainRules.jl•Updated Oct 30, 2026Oct 30, 2026

• SparseMatrixColorings.jl

  Public
  Coloring algorithms for sparse Jacobian and Hessian matrices

  graphautomatic-differentiationsparse+ 3

  graphautomatic-differentiationsparsegreedycoloringautodiff

  Julia

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  MIT License

  •1515 forks in JuliaDiff/SparseMatrixColorings.jl•4646 stars in JuliaDiff/SparseMatrixColorings.jl•1414 issues in JuliaDiff/SparseMatrixColorings.jl•44 pull requests in JuliaDiff/SparseMatrixColorings.jl•Updated Oct 30, 2026Oct 30, 2026

• FiniteDiff.jl

  Public
  Fast non-allocating calculations of gradients, Jacobians, and Hessians with sparsity support

  fastgpujulia+ 9

  fastgpujuliasparsederivativesgradientssparse-matrixjacobianscoloringhessians+ 2

  Julia

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  Other

  •4444 forks in JuliaDiff/FiniteDiff.jl•307307 stars in JuliaDiff/FiniteDiff.jl•1414 issues in JuliaDiff/FiniteDiff.jl•33 pull requests in JuliaDiff/FiniteDiff.jl•Updated Oct 28, 2026Oct 28, 2026

• ReverseDiff.jl

  Public
  Reverse Mode Automatic Differentiation for Julia

  calculusjuliaautomatic-differentiation

  calculusjuliaautomatic-differentiation

  Julia

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  Other

  •6262 forks in JuliaDiff/ReverseDiff.jl•397397 stars in JuliaDiff/ReverseDiff.jl•6464 issues in JuliaDiff/ReverseDiff.jl•33 pull requests in JuliaDiff/ReverseDiff.jl•Updated Oct 28, 2026Oct 28, 2026

• FiniteDifferences.jl

  Public
  High accuracy derivatives, estimated via numerical finite differences (formerly FDM.jl)

  juliafinite-differencesnumerical-differentiation

  juliafinite-differencesnumerical-differentiation

  Julia

  •

  MIT License

  •3232 forks in JuliaDiff/FiniteDifferences.jl•319319 stars in JuliaDiff/FiniteDifferences.jl•3232 issues in JuliaDiff/FiniteDifferences.jl•1010 pull requests in JuliaDiff/FiniteDifferences.jl•Updated Oct 28, 2026Oct 28, 2026

• ForwardDiff.jl

  Public
  Forward Mode Automatic Differentiation for Julia

  calculusjuliaautomatic-differentiation

  calculusjuliaautomatic-differentiation

  Julia

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  Other

  •166166 forks in JuliaDiff/ForwardDiff.jl•1k1k stars in JuliaDiff/ForwardDiff.jl•135135 issues in JuliaDiff/ForwardDiff.jl•5757 pull requests in JuliaDiff/ForwardDiff.jl•Updated Oct 26, 2026Oct 26, 2026

• TaylorSeries.jl

  Public
  Taylor polynomial expansions in one and several independent variables.

  juliaautomatic-differentiationpolynomials+ 1

  juliaautomatic-differentiationpolynomialstaylor-expansions

  Julia

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  Other

  •5555 forks in JuliaDiff/TaylorSeries.jl•390390 stars in JuliaDiff/TaylorSeries.jl•2424 issues in JuliaDiff/TaylorSeries.jl•33 pull requests in JuliaDiff/TaylorSeries.jl•Updated Oct 23, 2026Oct 23, 2026

• ChainRulesOverloadGeneration.jl

  Public
  Tools to help generate operator overloads based on ChainRules

  Julia

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  Other

  •00 forks in JuliaDiff/ChainRulesOverloadGeneration.jl•44 stars in JuliaDiff/ChainRulesOverloadGeneration.jl•22 issues in JuliaDiff/ChainRulesOverloadGeneration.jl•00 pull requests in JuliaDiff/ChainRulesOverloadGeneration.jl•Updated Oct 16, 2026Oct 16, 2026

• SparseConnectivityTracer.jl

  Public
  Fast operator-overloading Jacobian & Hessian sparsity pattern detection.

  sparsityjuliaautomatic-differentiation+ 4

  sparsityjuliaautomatic-differentiationjacobianhessianasdautodiff

  Julia

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  MIT License

  •1414 forks in JuliaDiff/SparseConnectivityTracer.jl•6161 stars in JuliaDiff/SparseConnectivityTracer.jl•2424 issues in JuliaDiff/SparseConnectivityTracer.jl•00 pull requests in JuliaDiff/SparseConnectivityTracer.jl•Updated Oct 7, 2026Oct 7, 2026

• DiffTests.jl

  Public
  A common suite of test functions for stressing the robustness of differentiation tools.

  Julia

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  Other

  •88 forks in JuliaDiff/DiffTests.jl•1212 stars in JuliaDiff/DiffTests.jl•22 issues in JuliaDiff/DiffTests.jl•33 pull requests in JuliaDiff/DiffTests.jl•Updated Sep 23, 2026Sep 23, 2026

• DiffRules.jl

  Public
  A simple shared suite of common derivative definitions

  Julia

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  Other

  •3636 forks in JuliaDiff/DiffRules.jl•7474 stars in JuliaDiff/DiffRules.jl•88 issues in JuliaDiff/DiffRules.jl•44 pull requests in JuliaDiff/DiffRules.jl•Updated Sep 19, 2026Sep 19, 2026

• AbstractDifferentiation.jl

  Public
  An abstract interface for automatic differentiation.

  Julia

  •

  MIT License

  •1818 forks in JuliaDiff/AbstractDifferentiation.jl•139139 stars in JuliaDiff/AbstractDifferentiation.jl•3838 issues in JuliaDiff/AbstractDifferentiation.jl•99 pull requests in JuliaDiff/AbstractDifferentiation.jl•Updated Aug 9, 2026Aug 9, 2026

• PolyesterForwardDiff.jl

  Public
  Julia

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  MIT License

  •66 forks in JuliaDiff/PolyesterForwardDiff.jl•3434 stars in JuliaDiff/PolyesterForwardDiff.jl•11 issue in JuliaDiff/PolyesterForwardDiff.jl•44 pull requests in JuliaDiff/PolyesterForwardDiff.jl•Updated Aug 5, 2026Aug 5, 2026

• DocThemeIndigo.jl

  Public
  The Documenter Theme for the ChainRules family of packages. But you can use it too

  SCSS

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  MIT License

  •11 fork in JuliaDiff/DocThemeIndigo.jl•77 stars in JuliaDiff/DocThemeIndigo.jl•22 issues in JuliaDiff/DocThemeIndigo.jl•44 pull requests in JuliaDiff/DocThemeIndigo.jl•Updated Aug 3, 2026Aug 3, 2026

• DiffResults.jl

  Public
  A package which provides an API for querying differentiation results at multiple orders simultaneously

  Julia

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  Other

  •99 forks in JuliaDiff/DiffResults.jl•3737 stars in JuliaDiff/DiffResults.jl•66 issues in JuliaDiff/DiffResults.jl•66 pull requests in JuliaDiff/DiffResults.jl•Updated Jul 27, 2026Jul 27, 2026

• TaylorDiff.jl

  Public
  Taylor-mode automatic differentiation for higher-order derivatives

  juliaautomatic-differentiationpde+ 1

  juliaautomatic-differentiationpdetaylor-series

  Julia

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  MIT License

  •1212 forks in JuliaDiff/TaylorDiff.jl•8383 stars in JuliaDiff/TaylorDiff.jl•88 issues in JuliaDiff/TaylorDiff.jl•00 pull requests in JuliaDiff/TaylorDiff.jl•Updated Jun 22, 2026Jun 22, 2026

• Mooncake.jl

  Public
  Implementation of a language-level autograd compiler

  Julia

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  MIT License

  •3939 forks in JuliaDiff/Mooncake.jl•00 stars in JuliaDiff/Mooncake.jl•00 issues in JuliaDiff/Mooncake.jl•00 pull requests in JuliaDiff/Mooncake.jl•Updated Apr 20, 2026Apr 20, 2026

• DistributionsAD.jl

  Public archive
  Automatic differentiation of Distributions using Tracker, Zygote, ForwardDiff and ReverseDiff

  Julia

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  MIT License

  •3030 forks in JuliaDiff/DistributionsAD.jl•151151 stars in JuliaDiff/DistributionsAD.jl•2727 issues in JuliaDiff/DistributionsAD.jl•00 pull requests in JuliaDiff/DistributionsAD.jl•Updated Mar 3, 2026Mar 3, 2026

• BlueStyle

  Public
  A Julia style guide that lives in a blue world

  styleguideformattingjulia+ 2

  styleguideformattingjuliabluejulia-language

  Creative Commons Zero v1.0 Universal

  •3434 forks in JuliaDiff/BlueStyle•520520 stars in JuliaDiff/BlueStyle•3535 issues in JuliaDiff/BlueStyle•22 pull requests in JuliaDiff/BlueStyle•Updated Feb 19, 2026Feb 19, 2026

• Diffractor.jl

  Public
  Next-generation AD

  Julia

  •

  MIT License

  •3333 forks in JuliaDiff/Diffractor.jl•453453 stars in JuliaDiff/Diffractor.jl•4040 issues in JuliaDiff/Diffractor.jl•2121 pull requests in JuliaDiff/Diffractor.jl•Updated Nov 24, 2025Nov 24, 2025

• SparseDiffTools.jl

  Public archive
  Fast jacobian computation through sparsity exploitation and matrix coloring

  Julia

  •

  MIT License

  •4343 forks in JuliaDiff/SparseDiffTools.jl•252252 stars in JuliaDiff/SparseDiffTools.jl•3333 issues in JuliaDiff/SparseDiffTools.jl•55 pull requests in JuliaDiff/SparseDiffTools.jl•Updated Aug 18, 2025Aug 18, 2025

• juliadiff.github.io

  Public
  JavaScript

  •99 forks in JuliaDiff/juliadiff.github.io•1111 stars in JuliaDiff/juliadiff.github.io•00 issues in JuliaDiff/juliadiff.github.io•00 pull requests in JuliaDiff/juliadiff.github.io•Updated Apr 25, 2025Apr 25, 2025

• DualNumbers.jl

  Public
  Julia package for representing dual numbers and for performing dual algebra

  juliadual-numbers

  juliadual-numbers

  Julia

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  Other

  •2828 forks in JuliaDiff/DualNumbers.jl•8080 stars in JuliaDiff/DualNumbers.jl•1515 issues in JuliaDiff/DualNumbers.jl•1010 pull requests in JuliaDiff/DualNumbers.jl•Updated Nov 10, 2024Nov 10, 2024

• ChainRulesDeclarationHelpers.jl

  Public
  Helpers for declaring ChainRules

  metaprogramminghacktoberfestautodiff

  metaprogramminghacktoberfestautodiff

  Julia

  •11 fork in JuliaDiff/ChainRulesDeclarationHelpers.jl•11 star in JuliaDiff/ChainRulesDeclarationHelpers.jl•00 issues in JuliaDiff/ChainRulesDeclarationHelpers.jl•44 pull requests in JuliaDiff/ChainRulesDeclarationHelpers.jl•Updated Mar 16, 2023Mar 16, 2023

• HyperDualNumbers.jl

  Public
  Julia implementation of HyperDualNumbers

  Julia

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  Other

  •1616 forks in JuliaDiff/HyperDualNumbers.jl•4343 stars in JuliaDiff/HyperDualNumbers.jl•11 issue in JuliaDiff/HyperDualNumbers.jl•00 pull requests in JuliaDiff/HyperDualNumbers.jl•Updated Mar 14, 2023Mar 14, 2023

• Capstan.jl

  Public
  A Cassette-based automatic differentiation package for the Julia language

  Julia

  •

  Other

  •66 forks in JuliaDiff/Capstan.jl•5656 stars in JuliaDiff/Capstan.jl•33 issues in JuliaDiff/Capstan.jl•11 pull request in JuliaDiff/Capstan.jl•Updated Mar 14, 2023Mar 14, 2023