Forward Mode Automatic Differentiation for Julia

Statically sized arrays for Julia

Special mathematical functions in Julia

MacroTools provides a library of tools for working with Julia code and expressions.

Calculus functions in Julia

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 packages, without depending on any particular AD system.

Reduce time-to-first-execution of Julia code

Efficient computations with symmetric and non-symmetric tensors with support for automatic differentiation.

Explicit SIMD vector operations for Julia

Compatibility across Julia versions

Project Preferences Package

Extensions for Julia's docsystem.

SparseArrays.jl is a Julia stdlib

A simple shared suite of common derivative definitions

Julia package for various special functions based on `log` and `exp`.

Julia math built-ins which return NaN and accumulator functions which ignore NaN

Naïve combined subexpression elimination in Julia

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

Interface for function inversion in Julia

Interface package for StaticArrays.jl

Defines additional irrationals

Interface for transformation functions in Julia