Optimization.jl: A Unified Optimization Package

Optimization.jl provides the easiest way to create an optimization problem and solve it. It enables rapid prototyping and experimentation with minimal syntax overhead by providing a uniform interface to >25 optimization libraries, hence 100+ optimization solvers encompassing almost all classes of optimization algorithms such as global, mixed-integer, non-convex, second-order local, constrained, etc. It allows you to choose an Automatic Differentiation (AD) backend by simply passing an argument to indicate the package to use and automatically generates the efficient derivatives of the objective and constraints while giving you the flexibility to switch between different AD engines as per your problem. Additionally, Optimization.jl takes care of passing problem specific information to solvers that can leverage it such as the sparsity pattern of the hessian or constraint jacobian and the expression graph.

It extends the common SciML interface making it very easy to use for anyone familiar with the SciML ecosystem. It is also very easy to extend to new solvers and new problem types. The package is actively maintained and new features are added regularly.

Installation

Assuming that you already have Julia correctly installed, it suffices to import Optimization.jl in the standard way:

import Pkg
Pkg.add("Optimization")

The packages relevant to the core functionality of Optimization.jl will be imported accordingly and, in most cases, you do not have to worry about the manual installation of dependencies. Optimization.jl natively offers a LBFGS solver but for more solver choices (discussed below in Optimization Packages), you will need to add the specific wrapper packages.

Contributing

Please refer to the SciML ColPrac: Contributor's Guide on Collaborative Practices for Community Packages for guidance on PRs, issues, and other matters relating to contributing to SciML.
See the SciML Style Guide for common coding practices and other style decisions.
There are a few community forums:
- The #diffeq-bridged and #sciml-bridged channels in the Julia Slack
- The #diffeq-bridged and #sciml-bridged channels in the Julia Zulip
- On the Julia Discourse forums
- See also SciML Community page

Overview of the solver packages in alphabetical order

BlackBoxOptim

- Global Methods - Zeroth order - Unconstrained - Box Constraints

CMAEvolutionaryStrategy

- Global Methods - Zeroth order - Unconstrained - Box Constraints

Evolutionary

- Global Methods - Zeroth order - Unconstrained - Box Constraints - Non-linear Constraints

GCMAES

- Global Methods - First order - Box Constraints - Unconstrained

Manopt

- Local Methods - First order - Second order - Zeroth order - Box Constraints - Constrained 🟡 - Global Methods - Zeroth order - Unconstrained

MathOptInterface

- Local Methods - First order - Second order - Box Constraints - Constrained - Global Methods - First order - Second order - Constrained

MultistartOptimization

- Global Methods - Zeroth order - First order - Second order - Box Constraints

Metaheuristics

- Global Methods - Zeroth order - Unconstrained - Box Constraints

NOMAD

- Global Methods - Zeroth order - Unconstrained - Box Constraints - Constrained 🟡

NLopt

- Local Methods - First order - Zeroth order - Second order 🟡 - Box Constraints - Local Constrained 🟡 - Global Methods - Zeroth order - First order - Unconstrained - Constrained 🟡

Optim

- Local Methods - Zeroth order - First order - Second order - Box Constraints - Constrained - Global Methods - Zeroth order - Unconstrained - Box Constraints

PRIMA

- Local Methods - Derivative-Free: ✅ - **Constraints** - Box Constraints: ✅ - Local Constrained: ✅

QuadDIRECT

- **Constraints** - Box Constraints: ✅ - Global Methods - Unconstrained: ✅

🟡 = supported in downstream library but not yet implemented in Optimization.jl; PR to add this functionality are welcome

Citation

@software{vaibhav_kumar_dixit_2023_7738525,
	author = {Vaibhav Kumar Dixit and Christopher Rackauckas},
	month = mar,
	publisher = {Zenodo},
	title = {Optimization.jl: A Unified Optimization Package},
	version = {v3.12.1},
	doi = {10.5281/zenodo.7738525},
  	url = {https://doi.org/10.5281/zenodo.7738525},
	year = 2023}

Reproducibility

The documentation of this SciML package was built using these direct dependencies,

Status `~/work/Optimization.jl/Optimization.jl/docs/Project.toml`
  [7c4d4715] AmplNLWriter v1.2.3
  [b0b7db55] ComponentArrays v0.15.27
  [e30172f5] Documenter v1.11.3
  [6a86dc24] FiniteDiff v2.27.0
⌅ [f6369f11] ForwardDiff v0.10.38
  [87dc4568] HiGHS v1.17.0
  [b6b21f68] Ipopt v1.10.3
  [c8e1da08] IterTools v1.10.0
  [2ddba703] Juniper v0.9.3
  [b2108857] Lux v1.12.4
  [f1d291b0] MLUtils v0.4.8
⌅ [1cead3c2] Manifolds v0.9.18
⌅ [0fc0a36d] Manopt v0.4.69
  [961ee093] ModelingToolkit v9.79.0
  [a4795742] NLPModels v0.21.4
  [7998695d] NLPModelsTest v0.10.2
  [76087f3c] NLopt v1.1.3
  [7f7a1694] Optimization v4.3.0 `~/work/Optimization.jl/Optimization.jl`
  [3e6eede4] OptimizationBBO v0.4.1 `../lib/OptimizationBBO`
  [bca83a33] OptimizationBase v2.5.0
  [bd407f91] OptimizationCMAEvolutionStrategy v0.3.0 `../lib/OptimizationCMAEvolutionStrategy`
  [cb963754] OptimizationEvolutionary v0.4.1 `../lib/OptimizationEvolutionary`
  [6f0a0517] OptimizationGCMAES v0.3.0 `../lib/OptimizationGCMAES`
  [fd9f6733] OptimizationMOI v0.5.3 `../lib/OptimizationMOI`
  [e57b7fff] OptimizationManopt v0.0.4 `../lib/OptimizationManopt`
  [3aafef2f] OptimizationMetaheuristics v0.3.0 `../lib/OptimizationMetaheuristics`
  [064b21be] OptimizationNLPModels v0.0.2 `../lib/OptimizationNLPModels`
  [4e6fcdb7] OptimizationNLopt v0.3.2 `../lib/OptimizationNLopt`
  [2cab0595] OptimizationNOMAD v0.3.1 `../lib/OptimizationNOMAD`
  [36348300] OptimizationOptimJL v0.4.3 `../lib/OptimizationOptimJL`
  [42dfb2eb] OptimizationOptimisers v0.3.7 `../lib/OptimizationOptimisers`
  [72f8369c] OptimizationPRIMA v0.3.0 `../lib/OptimizationPRIMA`
  [500b13db] OptimizationPolyalgorithms v0.3.0 `../lib/OptimizationPolyalgorithms`
  [3d669222] OptimizationSpeedMapping v0.2.0 `../lib/OptimizationSpeedMapping`
  [1dea7af3] OrdinaryDiffEq v6.96.0
  [91a5bcdd] Plots v1.40.13
  [37e2e3b7] ReverseDiff v1.16.1
⌃ [0bca4576] SciMLBase v2.87.0
  [1ed8b502] SciMLSensitivity v7.79.0
  [4297ee4d] SymbolicAnalysis v0.3.2
  [0c5d862f] Symbolics v6.39.1
  [9f7883ad] Tracker v0.2.38
  [e88e6eb3] Zygote v0.7.7
  [9cc047cb] Ipopt_jll v300.1400.1700+0
  [9a3f8284] Random v1.11.0
Info Packages marked with ⌃ and ⌅ have new versions available. Those with ⌃ may be upgradable, but those with ⌅ are restricted by compatibility constraints from upgrading. To see why use `status --outdated`

and using this machine and Julia version.

Julia Version 1.11.5
Commit 760b2e5b739 (2025-04-14 06:53 UTC)
Build Info:
  Official https://julialang.org/ release
Platform Info:
  OS: Linux (x86_64-linux-gnu)
  CPU: 4 × AMD EPYC 7763 64-Core Processor
  WORD_SIZE: 64
  LLVM: libLLVM-16.0.6 (ORCJIT, znver3)
Threads: 1 default, 0 interactive, 1 GC (on 4 virtual cores)

A more complete overview of all dependencies and their versions is also provided.

Status `~/work/Optimization.jl/Optimization.jl/docs/Manifest.toml`
  [47edcb42] ADTypes v1.14.0
  [14f7f29c] AMD v0.5.3
  [a4c015fc] ANSIColoredPrinters v0.0.1
  [621f4979] AbstractFFTs v1.5.0
  [1520ce14] AbstractTrees v0.4.5
  [7d9f7c33] Accessors v0.1.42
  [22286c92] AccurateArithmetic v0.3.8
  [79e6a3ab] Adapt v4.3.0
  [66dad0bd] AliasTables v1.1.3
  [7c4d4715] AmplNLWriter v1.2.3
  [dce04be8] ArgCheck v2.5.0
  [ec485272] ArnoldiMethod v0.4.0
  [4fba245c] ArrayInterface v7.19.0
  [4c555306] ArrayLayouts v1.11.1
  [a9b6321e] Atomix v1.1.1
  [fbb218c0] BSON v0.3.9
  [198e06fe] BangBang v0.4.4
  [9718e550] Baselet v0.1.1
  [6e4b80f9] BenchmarkTools v1.6.0
  [e2ed5e7c] Bijections v0.1.10
  [d1d4a3ce] BitFlags v0.1.9
  [62783981] BitTwiddlingConvenienceFunctions v0.1.6
  [a134a8b2] BlackBoxOptim v0.6.3
  [8e7c35d0] BlockArrays v1.6.3
  [70df07ce] BracketingNonlinearSolve v1.2.0
  [fa961155] CEnum v0.5.0
  [8d3b24bd] CMAEvolutionStrategy v0.2.6
  [2a0fbf3d] CPUSummary v0.2.6
  [a9c8d775] CPUTime v1.0.0
  [7057c7e9] Cassette v0.3.14
  [082447d4] ChainRules v1.72.3
  [d360d2e6] ChainRulesCore v1.25.1
  [fb6a15b2] CloseOpenIntervals v0.1.13
  [523fee87] CodecBzip2 v0.8.5
  [944b1d66] CodecZlib v0.7.8
  [35d6a980] ColorSchemes v3.29.0
⌅ [3da002f7] ColorTypes v0.11.5
⌃ [c3611d14] ColorVectorSpace v0.10.0
⌅ [5ae59095] Colors v0.12.11
  [861a8166] Combinatorics v1.0.3
  [a80b9123] CommonMark v0.9.1
  [38540f10] CommonSolve v0.2.4
  [bbf7d656] CommonSubexpressions v0.3.1
  [f70d9fcc] CommonWorldInvalidations v1.0.0
  [34da2185] Compat v4.16.0
  [b0b7db55] ComponentArrays v0.15.27
  [b152e2b5] CompositeTypes v0.1.4
  [a33af91c] CompositionsBase v0.1.2
  [2569d6c7] ConcreteStructs v0.2.3
  [f0e56b4a] ConcurrentUtilities v2.5.0
  [88cd18e8] ConsoleProgressMonitor v0.1.2
  [187b0558] ConstructionBase v1.5.8
  [6add18c4] ContextVariablesX v0.1.3
  [d38c429a] Contour v0.6.3
  [a2441757] Coverage v1.6.1
  [c36e975a] CoverageTools v1.3.2
  [adafc99b] CpuId v0.3.1
  [a8cc5b0e] Crayons v4.1.1
⌅ [717857b8] DSP v0.7.10
  [9a962f9c] DataAPI v1.16.0
  [864edb3b] DataStructures v0.18.22
  [e2d170a0] DataValueInterfaces v1.0.0
  [244e2a9f] DefineSingletons v0.1.2
  [8bb1440f] DelimitedFiles v1.9.1
  [85a47980] Dictionaries v0.4.5
  [2b5f629d] DiffEqBase v6.173.1
  [459566f4] DiffEqCallbacks v4.5.0
  [77a26b50] DiffEqNoiseProcess v5.24.1
  [163ba53b] DiffResults v1.1.0
  [b552c78f] DiffRules v1.15.1
⌅ [a0c0ee7d] DifferentiationInterface v0.6.54
  [8d63f2c5] DispatchDoctor v0.4.19
  [b4f34e82] Distances v0.10.12
  [31c24e10] Distributions v0.25.120
  [ffbed154] DocStringExtensions v0.9.4
  [e30172f5] Documenter v1.11.3
  [35a29f4d] DocumenterTools v0.1.20
  [5b8099bc] DomainSets v0.7.15
  [7c1d4256] DynamicPolynomials v0.6.1
  [06fc5a27] DynamicQuantities v1.8.0
  [b7d42ee7] Einsum v0.4.1
  [4e289a0a] EnumX v1.0.5
  [7da242da] Enzyme v0.13.43
  [f151be2c] EnzymeCore v0.8.8
  [86b6b26d] Evolutionary v0.11.1
  [460bff9d] ExceptionUnwrapping v0.1.11
  [d4d017d3] ExponentialUtilities v1.27.0
  [e2ba6199] ExprTools v0.1.10
  [55351af7] ExproniconLite v0.10.14
  [c87230d0] FFMPEG v0.4.2
  [7a1cc6ca] FFTW v1.8.1
  [cc61a311] FLoops v0.2.2
  [b9860ae5] FLoopsBase v0.1.1
  [7034ab61] FastBroadcast v0.3.5
  [9aa1b823] FastClosures v0.3.2
  [442a2c76] FastGaussQuadrature v1.0.2
  [a4df4552] FastPower v1.1.2
  [1a297f60] FillArrays v1.13.0
  [64ca27bc] FindFirstFunctions v1.4.1
  [6a86dc24] FiniteDiff v2.27.0
  [53c48c17] FixedPointNumbers v0.8.5
  [1fa38f19] Format v1.3.7
⌅ [f6369f11] ForwardDiff v0.10.38
  [f62d2435] FunctionProperties v0.1.2
  [069b7b12] FunctionWrappers v1.1.3
  [77dc65aa] FunctionWrappersWrappers v0.1.3
  [d9f16b24] Functors v0.5.2
  [4aa9d100] GCMAES v0.1.34
  [46192b85] GPUArraysCore v0.2.0
  [61eb1bfa] GPUCompiler v1.4.1
  [28b8d3ca] GR v0.73.14
  [c145ed77] GenericSchur v0.5.5
  [d7ba0133] Git v1.4.0
  [c27321d9] Glob v1.3.1
  [86223c79] Graphs v1.12.1
  [42e2da0e] Grisu v1.0.2
  [708ec375] Gumbo v0.8.3
  [cd3eb016] HTTP v1.10.16
  [076d061b] HashArrayMappedTries v0.2.0
  [87dc4568] HiGHS v1.17.0
  [3e5b6fbb] HostCPUFeatures v0.1.17
  [1baab800] HybridArrays v0.4.16
  [34004b35] HypergeometricFunctions v0.3.28
  [b5f81e59] IOCapture v0.2.5
  [7869d1d1] IRTools v0.4.14
  [615f187c] IfElse v0.1.1
  [313cdc1a] Indexing v1.1.1
  [d25df0c9] Inflate v0.1.5
  [22cec73e] InitialValues v0.3.1
  [18e54dd8] IntegerMathUtils v0.1.2
  [8197267c] IntervalSets v0.7.11
  [3587e190] InverseFunctions v0.1.17
  [b6b21f68] Ipopt v1.10.3
  [92d709cd] IrrationalConstants v0.2.4
  [c8e1da08] IterTools v1.10.0
  [82899510] IteratorInterfaceExtensions v1.0.0
  [1019f520] JLFzf v0.1.11
  [692b3bcd] JLLWrappers v1.7.0
⌅ [358108f5] JMcDM v0.7.24
  [682c06a0] JSON v0.21.4
  [0f8b85d8] JSON3 v1.14.2
  [ae98c720] Jieko v0.2.1
  [98e50ef6] JuliaFormatter v2.1.2
⌅ [70703baa] JuliaSyntax v0.4.10
  [b14d175d] JuliaVariables v0.2.4
  [ccbc3e58] JumpProcesses v9.14.3
  [2ddba703] Juniper v0.9.3
  [63c18a36] KernelAbstractions v0.9.34
  [2c470bb0] Kronecker v0.5.5
⌅ [ba0b0d4f] Krylov v0.9.10
  [5be7bae1] LBFGSB v0.4.1
  [40e66cde] LDLFactorizations v0.10.1
  [929cbde3] LLVM v9.3.1
  [b964fa9f] LaTeXStrings v1.4.0
  [23fbe1c1] Latexify v0.16.7
  [10f19ff3] LayoutPointers v0.1.17
  [0e77f7df] LazilyInitializedFields v1.3.0
  [5078a376] LazyArrays v2.6.1
  [1d6d02ad] LeftChildRightSiblingTrees v0.2.0
  [87fe0de2] LineSearch v0.1.4
  [d3d80556] LineSearches v7.3.0
  [7a12625a] LinearMaps v3.11.4
  [5c8ed15e] LinearOperators v2.10.0
⌃ [7ed4a6bd] LinearSolve v3.7.2
  [2ab3a3ac] LogExpFunctions v0.3.29
  [e6f89c97] LoggingExtras v1.1.0
  [b2108857] Lux v1.12.4
  [bb33d45b] LuxCore v1.2.4
  [82251201] LuxLib v1.7.3
  [c2834f40] MLCore v1.0.0
  [7e8f7934] MLDataDevices v1.9.1
  [d8e11817] MLStyle v0.4.17
  [f1d291b0] MLUtils v0.4.8
  [1914dd2f] MacroTools v0.5.16
⌅ [af67fdf4] ManifoldDiff v0.3.13
⌅ [1cead3c2] Manifolds v0.9.18
⌅ [3362f125] ManifoldsBase v0.15.24
⌅ [0fc0a36d] Manopt v0.4.69
  [d125e4d3] ManualMemory v0.1.8
  [d0879d2d] MarkdownAST v0.1.2
  [b8f27783] MathOptInterface v1.40.0
  [99c1a7ee] MatrixEquations v2.4.5
  [bb5d69b7] MaybeInplace v0.1.4
  [739be429] MbedTLS v1.1.9
  [442fdcdd] Measures v0.3.2
  [bcdb8e00] Metaheuristics v3.4.0
  [128add7d] MicroCollections v0.2.0
  [e1d29d7a] Missings v1.2.0
  [961ee093] ModelingToolkit v9.79.0
  [2e0e35c7] Moshi v0.3.5
  [46d2c3a1] MuladdMacro v0.2.4
  [102ac46a] MultivariatePolynomials v0.5.9
  [d8a4904e] MutableArithmetics v1.6.4
  [a4795742] NLPModels v0.21.4
  [e01155f1] NLPModelsModifiers v0.7.2
  [7998695d] NLPModelsTest v0.10.2
  [d41bc354] NLSolversBase v7.9.1
  [76087f3c] NLopt v1.1.3
  [872c559c] NNlib v0.9.30
  [02130f1c] NOMAD v2.4.1
  [77ba4419] NaNMath v1.1.3
  [71a1bf82] NameResolution v0.1.5
  [356022a1] NamedDims v1.2.2
  [8913a72c] NonlinearSolve v4.8.0
⌃ [be0214bd] NonlinearSolveBase v1.8.0
  [5959db7a] NonlinearSolveFirstOrder v1.5.0
  [9a2c21bd] NonlinearSolveQuasiNewton v1.5.0
  [26075421] NonlinearSolveSpectralMethods v1.2.0
  [d8793406] ObjectFile v0.4.4
  [6fe1bfb0] OffsetArrays v1.17.0
  [4d8831e6] OpenSSL v1.4.3
  [429524aa] Optim v1.12.0
  [3bd65402] Optimisers v0.4.6
  [7f7a1694] Optimization v4.3.0 `~/work/Optimization.jl/Optimization.jl`
  [3e6eede4] OptimizationBBO v0.4.1 `../lib/OptimizationBBO`
  [bca83a33] OptimizationBase v2.5.0
  [bd407f91] OptimizationCMAEvolutionStrategy v0.3.0 `../lib/OptimizationCMAEvolutionStrategy`
  [cb963754] OptimizationEvolutionary v0.4.1 `../lib/OptimizationEvolutionary`
  [6f0a0517] OptimizationGCMAES v0.3.0 `../lib/OptimizationGCMAES`
  [fd9f6733] OptimizationMOI v0.5.3 `../lib/OptimizationMOI`
  [e57b7fff] OptimizationManopt v0.0.4 `../lib/OptimizationManopt`
  [3aafef2f] OptimizationMetaheuristics v0.3.0 `../lib/OptimizationMetaheuristics`
  [064b21be] OptimizationNLPModels v0.0.2 `../lib/OptimizationNLPModels`
  [4e6fcdb7] OptimizationNLopt v0.3.2 `../lib/OptimizationNLopt`
  [2cab0595] OptimizationNOMAD v0.3.1 `../lib/OptimizationNOMAD`
  [36348300] OptimizationOptimJL v0.4.3 `../lib/OptimizationOptimJL`
  [42dfb2eb] OptimizationOptimisers v0.3.7 `../lib/OptimizationOptimisers`
  [72f8369c] OptimizationPRIMA v0.3.0 `../lib/OptimizationPRIMA`
  [500b13db] OptimizationPolyalgorithms v0.3.0 `../lib/OptimizationPolyalgorithms`
  [3d669222] OptimizationSpeedMapping v0.2.0 `../lib/OptimizationSpeedMapping`
  [bac558e1] OrderedCollections v1.8.0
  [1dea7af3] OrdinaryDiffEq v6.96.0
  [89bda076] OrdinaryDiffEqAdamsBashforthMoulton v1.2.0
  [6ad6398a] OrdinaryDiffEqBDF v1.5.0
  [bbf590c4] OrdinaryDiffEqCore v1.25.0
  [50262376] OrdinaryDiffEqDefault v1.4.0
  [4302a76b] OrdinaryDiffEqDifferentiation v1.8.0
  [9286f039] OrdinaryDiffEqExplicitRK v1.1.0
  [e0540318] OrdinaryDiffEqExponentialRK v1.4.0
  [becaefa8] OrdinaryDiffEqExtrapolation v1.5.0
  [5960d6e9] OrdinaryDiffEqFIRK v1.11.0
  [101fe9f7] OrdinaryDiffEqFeagin v1.1.0
  [d3585ca7] OrdinaryDiffEqFunctionMap v1.1.1
  [d28bc4f8] OrdinaryDiffEqHighOrderRK v1.1.0
  [9f002381] OrdinaryDiffEqIMEXMultistep v1.3.0
  [521117fe] OrdinaryDiffEqLinear v1.2.0
  [1344f307] OrdinaryDiffEqLowOrderRK v1.2.0
  [b0944070] OrdinaryDiffEqLowStorageRK v1.3.0
  [127b3ac7] OrdinaryDiffEqNonlinearSolve v1.8.0
  [c9986a66] OrdinaryDiffEqNordsieck v1.1.0
  [5dd0a6cf] OrdinaryDiffEqPDIRK v1.3.0
  [5b33eab2] OrdinaryDiffEqPRK v1.1.0
  [04162be5] OrdinaryDiffEqQPRK v1.1.0
  [af6ede74] OrdinaryDiffEqRKN v1.1.0
  [43230ef6] OrdinaryDiffEqRosenbrock v1.10.0
  [2d112036] OrdinaryDiffEqSDIRK v1.3.0
  [669c94d9] OrdinaryDiffEqSSPRK v1.3.0
  [e3e12d00] OrdinaryDiffEqStabilizedIRK v1.3.0
  [358294b1] OrdinaryDiffEqStabilizedRK v1.1.0
  [fa646aed] OrdinaryDiffEqSymplecticRK v1.3.0
  [b1df2697] OrdinaryDiffEqTsit5 v1.1.0
  [79d7bb75] OrdinaryDiffEqVerner v1.2.0
  [90014a1f] PDMats v0.11.35
  [0a7d04aa] PRIMA v0.2.2
  [d96e819e] Parameters v0.12.3
  [69de0a69] Parsers v2.8.3
  [ccf2f8ad] PlotThemes v3.3.0
  [995b91a9] PlotUtils v1.4.3
  [91a5bcdd] Plots v1.40.13
  [e409e4f3] PoissonRandom v0.4.4
  [f517fe37] Polyester v0.7.16
  [1d0040c9] PolyesterWeave v0.2.2
  [f27b6e38] Polynomials v4.0.19
  [85a6dd25] PositiveFactorizations v0.2.4
  [d236fae5] PreallocationTools v0.4.27
⌅ [aea7be01] PrecompileTools v1.2.1
  [21216c6a] Preferences v1.4.3
  [8162dcfd] PrettyPrint v0.2.0
  [08abe8d2] PrettyTables v2.4.0
  [27ebfcd6] Primes v0.5.7
  [33c8b6b6] ProgressLogging v0.1.4
  [92933f4c] ProgressMeter v1.10.4
  [43287f4e] PtrArrays v1.3.0
  [10f199a5] QPSReader v0.2.1
  [1fd47b50] QuadGK v2.11.2
  [94ee1d12] Quaternions v0.7.6
  [74087812] Random123 v1.7.0
  [e6cf234a] RandomNumbers v1.6.0
  [c1ae055f] RealDot v0.1.0
  [3cdcf5f2] RecipesBase v1.3.4
  [01d81517] RecipesPipeline v0.6.12
  [731186ca] RecursiveArrayTools v3.33.0
  [189a3867] Reexport v1.2.2
  [2792f1a3] RegistryInstances v0.1.0
  [05181044] RelocatableFolders v1.0.1
  [ae029012] Requires v1.3.1
  [ae5879a3] ResettableStacks v1.1.1
  [37e2e3b7] ReverseDiff v1.16.1
  [79098fc4] Rmath v0.8.0
  [7e49a35a] RuntimeGeneratedFunctions v0.5.14
  [9dfe8606] SCCNonlinearSolve v1.2.0
  [94e857df] SIMDTypes v0.1.0
  [322a6be2] Sass v0.2.0
⌃ [0bca4576] SciMLBase v2.87.0
  [19f34311] SciMLJacobianOperators v0.1.5
⌅ [c0aeaf25] SciMLOperators v0.3.13
  [1ed8b502] SciMLSensitivity v7.79.0
  [53ae85a6] SciMLStructures v1.7.0
  [7e506255] ScopedValues v1.3.0
  [6c6a2e73] Scratch v1.2.1
  [eb7571c6] SearchSpaces v0.2.0
  [efcf1570] Setfield v1.1.2
  [605ecd9f] ShowCases v0.1.0
  [992d4aef] Showoff v1.0.3
  [777ac1f9] SimpleBufferStream v1.2.0
  [727e6d20] SimpleNonlinearSolve v2.5.0
  [699a6c99] SimpleTraits v0.9.4
  [ce78b400] SimpleUnPack v1.1.0
  [47aef6b3] SimpleWeightedGraphs v1.5.0
  [66db9d55] SnoopPrecompile v1.0.3
  [a2af1166] SortingAlgorithms v1.2.1
  [9f842d2f] SparseConnectivityTracer v0.6.18
  [dc90abb0] SparseInverseSubset v0.1.2
  [0a514795] SparseMatrixColorings v0.4.19
  [d4ead438] SpatialIndexing v0.1.6
  [276daf66] SpecialFunctions v2.5.1
  [f1835b91] SpeedMapping v0.3.0
  [171d559e] SplittablesBase v0.1.15
  [860ef19b] StableRNGs v1.0.3
  [cae243ae] StackViews v0.1.1
  [aedffcd0] Static v1.2.0
  [0d7ed370] StaticArrayInterface v1.8.0
  [90137ffa] StaticArrays v1.9.13
  [1e83bf80] StaticArraysCore v1.4.3
  [10745b16] Statistics v1.11.1
  [82ae8749] StatsAPI v1.7.0
  [2913bbd2] StatsBase v0.34.5
  [4c63d2b9] StatsFuns v1.5.0
  [7792a7ef] StrideArraysCore v0.5.7
  [892a3eda] StringManipulation v0.4.1
  [09ab397b] StructArrays v0.7.1
  [53d494c1] StructIO v0.3.1
  [856f2bd8] StructTypes v1.11.0
  [4297ee4d] SymbolicAnalysis v0.3.2
  [2efcf032] SymbolicIndexingInterface v0.3.40
  [19f23fe9] SymbolicLimits v0.2.2
  [d1185830] SymbolicUtils v3.27.0
  [0c5d862f] Symbolics v6.39.1
  [3783bdb8] TableTraits v1.0.1
  [bd369af6] Tables v1.12.0
  [ed4db957] TaskLocalValues v0.1.2
  [62fd8b95] TensorCore v0.1.1
  [8ea1fca8] TermInterface v2.0.0
  [5d786b92] TerminalLoggers v0.1.7
  [1c621080] TestItems v1.0.0
  [8290d209] ThreadingUtilities v0.5.3
  [a759f4b9] TimerOutputs v0.5.28
  [9f7883ad] Tracker v0.2.38
  [e689c965] Tracy v0.1.4
  [3bb67fe8] TranscodingStreams v0.11.3
  [28d57a85] Transducers v0.4.84
  [410a4b4d] Tricks v0.1.10
  [781d530d] TruncatedStacktraces v1.4.0
  [6dd1b50a] Tulip v0.9.7
  [c3b1956e] TypeUtils v1.7.0
  [5c2747f8] URIs v1.5.2
  [3a884ed6] UnPack v1.0.2
  [1cfade01] UnicodeFun v0.4.1
  [1986cc42] Unitful v1.22.1
  [45397f5d] UnitfulLatexify v1.6.4
  [a7c27f48] Unityper v0.1.6
  [013be700] UnsafeAtomics v0.3.0
  [41fe7b60] Unzip v0.2.0
  [3d5dd08c] VectorizationBase v0.21.71
  [897b6980] WeakValueDicts v0.1.0
  [d49dbf32] WeightInitializers v1.1.1
  [e88e6eb3] Zygote v0.7.7
  [700de1a5] ZygoteRules v0.2.7
  [ae81ac8f] ASL_jll v0.1.3+0
  [6e34b625] Bzip2_jll v1.0.9+0
⌃ [83423d85] Cairo_jll v1.18.4+0
  [ee1fde0b] Dbus_jll v1.16.2+0
  [7cc45869] Enzyme_jll v0.0.179+0
  [2702e6a9] EpollShim_jll v0.0.20230411+1
  [2e619515] Expat_jll v2.6.5+0
⌅ [b22a6f82] FFMPEG_jll v4.4.4+1
  [f5851436] FFTW_jll v3.3.11+0
  [a3f928ae] Fontconfig_jll v2.16.0+0
  [d7e528f0] FreeType2_jll v2.13.4+0
  [559328eb] FriBidi_jll v1.0.17+0
  [0656b61e] GLFW_jll v3.4.0+2
  [d2c73de3] GR_jll v0.73.14+0
  [78b55507] Gettext_jll v0.21.0+0
  [f8c6e375] Git_jll v2.49.0+0
⌃ [7746bdde] Glib_jll v2.82.4+0
  [3b182d85] Graphite2_jll v1.3.15+0
  [528830af] Gumbo_jll v0.10.2+0
  [2e76f6c2] HarfBuzz_jll v8.5.0+0
  [8fd58aa0] HiGHS_jll v1.10.0+0
  [e33a78d0] Hwloc_jll v2.12.1+0
  [1d5cc7b8] IntelOpenMP_jll v2025.0.4+0
  [9cc047cb] Ipopt_jll v300.1400.1700+0
  [aacddb02] JpegTurbo_jll v3.1.1+0
  [c1c5ebd0] LAME_jll v3.100.2+0
  [88015f11] LERC_jll v4.0.1+0
  [dad2f222] LLVMExtra_jll v0.0.35+0
  [1d63c593] LLVMOpenMP_jll v18.1.8+0
  [dd4b983a] LZO_jll v2.10.3+0
  [81d17ec3] L_BFGS_B_jll v3.0.1+0
  [ad6e5548] LibTracyClient_jll v0.9.1+6
⌅ [e9f186c6] Libffi_jll v3.2.2+2
  [7e76a0d4] Libglvnd_jll v1.7.1+1
  [94ce4f54] Libiconv_jll v1.18.0+0
  [4b2f31a3] Libmount_jll v2.41.0+0
  [89763e89] Libtiff_jll v4.7.1+0
  [38a345b3] Libuuid_jll v2.41.0+0
  [d00139f3] METIS_jll v5.1.3+0
  [856f044c] MKL_jll v2025.0.1+1
⌅ [d7ed1dd3] MUMPS_seq_jll v500.700.301+0
  [079eb43e] NLopt_jll v2.10.0+0
  [2fc7fd02] NOMAD_jll v4.3.1+0
  [e7412a2a] Ogg_jll v1.3.5+1
  [656ef2d0] OpenBLAS32_jll v0.3.29+0
⌅ [9bd350c2] OpenSSH_jll v9.9.2+0
  [458c3c95] OpenSSL_jll v3.5.0+0
  [efe28fd5] OpenSpecFun_jll v0.5.6+0
  [91d4177d] Opus_jll v1.3.3+0
  [eead6e0c] PRIMA_jll v0.7.1+0
  [36c8627f] Pango_jll v1.56.1+0
⌅ [30392449] Pixman_jll v0.44.2+0
⌅ [c0090381] Qt6Base_jll v6.7.1+1
⌅ [629bc702] Qt6Declarative_jll v6.7.1+2
⌅ [ce943373] Qt6ShaderTools_jll v6.7.1+1
⌃ [e99dba38] Qt6Wayland_jll v6.7.1+1
  [f50d1b31] Rmath_jll v0.5.1+0
⌅ [319450e9] SPRAL_jll v2024.5.8+0
  [a44049a8] Vulkan_Loader_jll v1.3.243+0
⌃ [a2964d1f] Wayland_jll v1.21.0+2
  [2381bf8a] Wayland_protocols_jll v1.36.0+0
⌅ [02c8fc9c] XML2_jll v2.13.6+1
  [ffd25f8a] XZ_jll v5.8.1+0
  [f67eecfb] Xorg_libICE_jll v1.1.2+0
  [c834827a] Xorg_libSM_jll v1.2.6+0
  [4f6342f7] Xorg_libX11_jll v1.8.12+0
  [0c0b7dd1] Xorg_libXau_jll v1.0.13+0
  [935fb764] Xorg_libXcursor_jll v1.2.4+0
  [a3789734] Xorg_libXdmcp_jll v1.1.6+0
  [1082639a] Xorg_libXext_jll v1.3.7+0
  [d091e8ba] Xorg_libXfixes_jll v6.0.1+0
  [a51aa0fd] Xorg_libXi_jll v1.8.3+0
  [d1454406] Xorg_libXinerama_jll v1.1.6+0
  [ec84b674] Xorg_libXrandr_jll v1.5.5+0
  [ea2f1a96] Xorg_libXrender_jll v0.9.12+0
  [c7cfdc94] Xorg_libxcb_jll v1.17.1+0
  [cc61e674] Xorg_libxkbfile_jll v1.1.3+0
  [e920d4aa] Xorg_xcb_util_cursor_jll v0.1.4+0
  [12413925] Xorg_xcb_util_image_jll v0.4.0+1
  [2def613f] Xorg_xcb_util_jll v0.4.0+1
  [975044d2] Xorg_xcb_util_keysyms_jll v0.4.0+1
  [0d47668e] Xorg_xcb_util_renderutil_jll v0.3.9+1
  [c22f9ab0] Xorg_xcb_util_wm_jll v0.4.1+1
  [35661453] Xorg_xkbcomp_jll v1.4.7+0
  [33bec58e] Xorg_xkeyboard_config_jll v2.44.0+0
  [c5fb5394] Xorg_xtrans_jll v1.6.0+0
  [3161d3a3] Zstd_jll v1.5.7+1
  [35ca27e7] eudev_jll v3.2.9+0
  [214eeab7] fzf_jll v0.61.1+0
  [1a1c6b14] gperf_jll v3.1.1+1
  [a4ae2306] libaom_jll v3.11.0+0
  [0ac62f75] libass_jll v0.15.2+0
  [1183f4f0] libdecor_jll v0.2.2+0
  [2db6ffa8] libevdev_jll v1.11.0+0
  [f638f0a6] libfdk_aac_jll v2.0.3+0
  [36db933b] libinput_jll v1.18.0+0
  [b53b4c65] libpng_jll v1.6.48+0
  [47bcb7c8] libsass_jll v3.6.6+0
  [f27f6e37] libvorbis_jll v1.3.7+2
  [009596ad] mtdev_jll v1.1.6+0
  [1317d2d5] oneTBB_jll v2022.0.0+0
⌅ [1270edf5] x264_jll v2021.5.5+0
⌅ [dfaa095f] x265_jll v3.5.0+0
  [d8fb68d0] xkbcommon_jll v1.8.1+0
  [0dad84c5] ArgTools v1.1.2
  [56f22d72] Artifacts v1.11.0
  [2a0f44e3] Base64 v1.11.0
  [ade2ca70] Dates v1.11.0
  [8ba89e20] Distributed v1.11.0
  [f43a241f] Downloads v1.6.0
  [7b1f6079] FileWatching v1.11.0
  [9fa8497b] Future v1.11.0
  [b77e0a4c] InteractiveUtils v1.11.0
  [4af54fe1] LazyArtifacts v1.11.0
  [b27032c2] LibCURL v0.6.4
  [76f85450] LibGit2 v1.11.0
  [8f399da3] Libdl v1.11.0
  [37e2e46d] LinearAlgebra v1.11.0
  [56ddb016] Logging v1.11.0
  [d6f4376e] Markdown v1.11.0
  [a63ad114] Mmap v1.11.0
  [ca575930] NetworkOptions v1.2.0
  [44cfe95a] Pkg v1.11.0
  [de0858da] Printf v1.11.0
  [9abbd945] Profile v1.11.0
  [3fa0cd96] REPL v1.11.0
  [9a3f8284] Random v1.11.0
  [ea8e919c] SHA v0.7.0
  [9e88b42a] Serialization v1.11.0
  [1a1011a3] SharedArrays v1.11.0
  [6462fe0b] Sockets v1.11.0
  [2f01184e] SparseArrays v1.11.0
  [f489334b] StyledStrings v1.11.0
  [4607b0f0] SuiteSparse
  [fa267f1f] TOML v1.0.3
  [a4e569a6] Tar v1.10.0
  [8dfed614] Test v1.11.0
  [cf7118a7] UUIDs v1.11.0
  [4ec0a83e] Unicode v1.11.0
  [e66e0078] CompilerSupportLibraries_jll v1.1.1+0
  [deac9b47] LibCURL_jll v8.6.0+0
  [e37daf67] LibGit2_jll v1.7.2+0
  [29816b5a] LibSSH2_jll v1.11.0+1
  [c8ffd9c3] MbedTLS_jll v2.28.6+0
  [14a3606d] MozillaCACerts_jll v2023.12.12
  [4536629a] OpenBLAS_jll v0.3.27+1
  [05823500] OpenLibm_jll v0.8.5+0
  [efcefdf7] PCRE2_jll v10.42.0+1
  [bea87d4a] SuiteSparse_jll v7.7.0+0
  [83775a58] Zlib_jll v1.2.13+1
  [8e850b90] libblastrampoline_jll v5.11.0+0
  [8e850ede] nghttp2_jll v1.59.0+0
  [3f19e933] p7zip_jll v17.4.0+2
Info Packages marked with ⌃ and ⌅ have new versions available. Those with ⌃ may be upgradable, but those with ⌅ are restricted by compatibility constraints from upgrading. To see why use `status --outdated -m`

You can also download the manifest file and the project file.