Symbolics.jl is a high-performance symbolic computation library for the Julia programming language. It enables users to define, manipulate, and analyze mathematical expressions symbolically, with strong support for symbolic differentiation, simplification, equation solving, and code generation. Designed for use in scientific computing, machine learning, and engineering, Symbolics.jl integrates smoothly with Julia’s numerical ecosystem, allowing symbolic expressions to be compiled and optimized for high-speed evaluation.

Features

  • Symbolic differentiation and simplification
  • Equation solving and symbolic algebra
  • Generation of fast numerical functions from symbolic expressions
  • Interoperability with numerical solvers in SciML
  • Code generation in Julia and C
  • Sparse symbolic array support for large-scale systems

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