Solution of overdetermined systems fails with StaticArrays

[afossa]

Describe the bug 🐞

Solving an overdetermined system of equations formulated as a NonlinearLeastSquaresProblem fails if using StaticArrays for the optimization variables and the residuals.

The same problem is correctly solved with regular Vectors. Underdetermined and square problems are instead solved correctly with StaticArrays.

Passing the resid_prototype keyword argument to NonlinearFunction does not solve the issue.

Expected behavior

The solution to the problem should be the same for both standard vectors and StaticArrays.

Minimal Reproducible Example 👇

using StaticArrays
using NonlinearSolve

function f_static(u, p)
    x, y = u
    return SA[
        sin(x) + y^2 - 1.0,
        x^2 + y - 2.0,
        exp(x) + x*y - 3.0,
        x + y - 1.0
    ]
end

function f(u, p)
    return [f_static(u, p)...]
end

nlls_prob = NonlinearLeastSquaresProblem(
    NonlinearFunction(f),
    zeros(2)
)
nlls_sol = solve(nlls_prob, store_trace=Val(true))

nlls_static_prob = NonlinearLeastSquaresProblem(
    NonlinearFunction(f_static),
    SA[0.0, 0.0]
)
nlls_static_sol = solve(nlls_static_prob, store_trace=Val(true))

Error & Stacktrace ⚠️

julia> show(err)
1-element ExceptionStack:
LoadError: DimensionMismatch: No precise constructor for SVector{2, Float64} found. Size of input was (4,).
Stacktrace:
  [1] _no_precise_size(SA::Type, x::SVector{4, Float64})
    @ StaticArrays /workspace/julia/packages/StaticArrays/LSPcF/src/convert.jl:170
  [2] length_match_size(::Type{SVector{2, Float64}}, x::SVector{4, Float64})
    @ StaticArrays /workspace/julia/packages/StaticArrays/LSPcF/src/convert.jl:138
  [3] adapt_size(::Type{SVector{2, Float64}}, x::SVector{4, Float64})
    @ StaticArrays /workspace/julia/packages/StaticArrays/LSPcF/src/convert.jl:107
  [4] construct_type(::Type{SVector{2, Float64}}, x::SVector{4, Float64})
    @ StaticArrays /workspace/julia/packages/StaticArrays/LSPcF/src/convert.jl:95
  [5] convert(::Type{SVector{2, Float64}}, sa::SVector{4, Float64})
    @ StaticArrays /workspace/julia/packages/StaticArrays/LSPcF/src/convert.jl:186
  [6] setproperty!(x::NonlinearSolveFirstOrder.LevenbergMarquardtDampingCache{Float64, Float64, Float64, Float64, Float64, LinearAlgebra.Diagonal{Float64, SVector{2, Float64}}, SVector{2, Float64}, SMatrix{2, 2, Float64, 4}, NonlinearSolveFirstOrder.LevenbergMarquardtDampingFunction{Float64, Float64, Float64}, Float64}, f::Symbol, v::SVector{4, Float64})
    @ Base ./Base.jl:52
  [7] solve!(cache::NonlinearSolveFirstOrder.LevenbergMarquardtDampingCache{Float64, Float64, Float64, Float64, Float64, LinearAlgebra.Diagonal{Float64, SVector{2, Float64}}, SVector{2, Float64}, SMatrix{2, 2, Float64, 4}, NonlinearSolveFirstOrder.LevenbergMarquardtDampingFunction{Float64, Float64, Float64}, Float64}, J::SMatrix{4, 2, Float64, 8}, fu::SVector{4, Float64}, ::Val{false}; kwargs::@Kwargs{})
    @ NonlinearSolveFirstOrder /workspace/julia/packages/NonlinearSolveFirstOrder/o91ZE/src/levenberg_marquardt.jl:139
  [8] solve!(cache::NonlinearSolveFirstOrder.LevenbergMarquardtDampingCache{Float64, Float64, Float64, Float64, Float64, LinearAlgebra.Diagonal{Float64, SVector{2, Float64}}, SVector{2, Float64}, SMatrix{2, 2, Float64, 4}, NonlinearSolveFirstOrder.LevenbergMarquardtDampingFunction{Float64, Float64, Float64}, Float64}, J::SMatrix{4, 2, Float64, 8}, fu::SVector{4, Float64}, ::Val{false})
    @ NonlinearSolveFirstOrder /workspace/julia/packages/NonlinearSolveFirstOrder/o91ZE/src/levenberg_marquardt.jl:131
  [9] solve!(cache::NonlinearSolveBase.DampedNewtonDescentCache{SMatrix{6, 2, Float64, 12}, SVector{2, Float64}, Nothing, NonlinearSolveBase.NativeJLLinearSolveCache{SMatrix{6, 2, Float64, 12}, SVector{6, Float64}}, Nothing, Nothing, SVector{6, Float64}, NonlinearSolveFirstOrder.LevenbergMarquardtDampingCache{Float64, Float64, Float64, Float64, Float64, LinearAlgebra.Diagonal{Float64, SVector{2, Float64}}, SVector{2, Float64}, SMatrix{2, 2, Float64, 4}, NonlinearSolveFirstOrder.LevenbergMarquardtDampingFunction{Float64, Float64, Float64}, Float64}, Nothing, Val{false}, Val{:least_squares}}, J::SMatrix{4, 2, Float64, 8}, fu::SVector{4, Float64}, u::SVector{2, Float64}, idx::Val{1}; skip_solve::Bool, new_jacobian::Bool, kwargs::@Kwargs{verbose::Bool, default_set::Bool, second_time::Bool, store_trace::Val{true}})
    @ NonlinearSolveBase /workspace/julia/packages/NonlinearSolveBase/xDyV6/src/descent/damped_newton.jl:175
 [10] step!(cache::NonlinearSolveFirstOrder.GeneralizedFirstOrderAlgorithmCache{SVector{4, Float64}, SVector{2, Float64}, SVector{2, Float64}, SciMLBase.NullParameters, SVector{2, Float64}, SMatrix{4, 2, Float64, 8}, GeneralizedFirstOrderAlgorithm{Missing, NonlinearSolveFirstOrder.LevenbergMarquardtTrustRegion{Float64}, DampedNewtonDescent{Nothing, Float64, NonlinearSolveFirstOrder.LevenbergMarquardtDampingFunction{Float64, Float64, Float64}}, AutoForwardDiff{nothing, Nothing}, AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}, Nothing, Nothing, Bool}, AutoForwardDiff{nothing, Nothing}, Val{true}}, NonlinearLeastSquaresProblem{SVector{2, Float64}, false, SciMLBase.NullParameters, NonlinearFunction{false, SciMLBase.FullSpecialize, typeof(f_static), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED_NO_TIME), Nothing, Nothing, Nothing, Nothing}, @Kwargs{}}, Val{:TrustRegion}, NonlinearSolveBase.JacobianCache{SMatrix{4, 2, Float64, 8}, NonlinearFunction{false, SciMLBase.FullSpecialize, typeof(f_static), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED_NO_TIME), Nothing, Nothing, Nothing, Nothing}, SVector{4, Float64}, SVector{2, Float64}, SciMLBase.NullParameters, AutoForwardDiff{nothing, Nothing}, DifferentiationInterfaceForwardDiffExt.ForwardDiffOneArgJacobianPrep{Nothing, ForwardDiff.JacobianConfig{ForwardDiff.Tag{NonlinearFunction{false, SciMLBase.FullSpecialize, typeof(f_static), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED_NO_TIME), Nothing, Nothing, Nothing, Nothing}, Float64}, Float64, 2, MVector{2, ForwardDiff.Dual{ForwardDiff.Tag{NonlinearFunction{false, SciMLBase.FullSpecialize, typeof(f_static), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED_NO_TIME), Nothing, Nothing, Nothing, Nothing}, Float64}, Float64, 2}}}, Tuple{Nothing}}}, NonlinearSolveBase.DampedNewtonDescentCache{SMatrix{6, 2, Float64, 12}, SVector{2, Float64}, Nothing, NonlinearSolveBase.NativeJLLinearSolveCache{SMatrix{6, 2, Float64, 12}, SVector{6, Float64}}, Nothing, Nothing, SVector{6, Float64}, NonlinearSolveFirstOrder.LevenbergMarquardtDampingCache{Float64, Float64, Float64, Float64, Float64, LinearAlgebra.Diagonal{Float64, SVector{2, Float64}}, SVector{2, Float64}, SMatrix{2, 2, Float64, 4}, NonlinearSolveFirstOrder.LevenbergMarquardtDampingFunction{Float64, Float64, Float64}, Float64}, Nothing, Val{false}, Val{:least_squares}}, Nothing, NonlinearSolveFirstOrder.LevenbergMarquardtTrustRegionCache{NonlinearFunction{false, SciMLBase.FullSpecialize, typeof(f_static), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED_NO_TIME), Nothing, Nothing, Nothing, Nothing}, SciMLBase.NullParameters, Float64, SVector{2, Float64}, Float64, typeof(NonlinearSolveBase.L2_NORM), Float64, SVector{2, Float64}, SVector{4, Float64}}, Nothing, Nothing, NonlinearSolveBase.NonlinearTerminationModeCache{SVector{2, Float64}, Float64, AbsNormSafeBestTerminationMode{typeof(NonlinearSolveBase.L2_NORM), Nothing, Int64, Float64, Int64}, Float64, Vector{Float64}, Nothing, Nothing, Vector{Float64}, Int64}, NonlinearSolveBase.NonlinearSolveTrace{Val{false}, Val{true}, Vector{NonlinearSolveBase.NonlinearSolveTraceEntry}, NonlinearSolveBase.NonlinearSolveTracing{Val{:minimal}}, NonlinearLeastSquaresProblem{SVector{2, Float64}, false, SciMLBase.NullParameters, NonlinearFunction{false, SciMLBase.FullSpecialize, typeof(f_static), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED_NO_TIME), Nothing, Nothing, Nothing, Nothing}, @Kwargs{}}}, @Kwargs{verbose::Bool, default_set::Bool, second_time::Bool, store_trace::Val{true}}, NonlinearSolveBase.NonlinearSolveDefaultInit}; recompute_jacobian::Nothing)
    @ NonlinearSolveFirstOrder /workspace/julia/packages/NonlinearSolveFirstOrder/o91ZE/src/solve.jl:246
 [11] step!(cache::NonlinearSolveFirstOrder.GeneralizedFirstOrderAlgorithmCache{SVector{4, Float64}, SVector{2, Float64}, SVector{2, Float64}, SciMLBase.NullParameters, SVector{2, Float64}, SMatrix{4, 2, Float64, 8}, GeneralizedFirstOrderAlgorithm{Missing, NonlinearSolveFirstOrder.LevenbergMarquardtTrustRegion{Float64}, DampedNewtonDescent{Nothing, Float64, NonlinearSolveFirstOrder.LevenbergMarquardtDampingFunction{Float64, Float64, Float64}}, AutoForwardDiff{nothing, Nothing}, AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}, Nothing, Nothing, Bool}, AutoForwardDiff{nothing, Nothing}, Val{true}}, NonlinearLeastSquaresProblem{SVector{2, Float64}, false, SciMLBase.NullParameters, NonlinearFunction{false, SciMLBase.FullSpecialize, typeof(f_static), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED_NO_TIME), Nothing, Nothing, Nothing, Nothing}, @Kwargs{}}, Val{:TrustRegion}, NonlinearSolveBase.JacobianCache{SMatrix{4, 2, Float64, 8}, NonlinearFunction{false, SciMLBase.FullSpecialize, typeof(f_static), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED_NO_TIME), Nothing, Nothing, Nothing, Nothing}, SVector{4, Float64}, SVector{2, Float64}, SciMLBase.NullParameters, AutoForwardDiff{nothing, Nothing}, DifferentiationInterfaceForwardDiffExt.ForwardDiffOneArgJacobianPrep{Nothing, ForwardDiff.JacobianConfig{ForwardDiff.Tag{NonlinearFunction{false, SciMLBase.FullSpecialize, typeof(f_static), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED_NO_TIME), Nothing, Nothing, Nothing, Nothing}, Float64}, Float64, 2, MVector{2, ForwardDiff.Dual{ForwardDiff.Tag{NonlinearFunction{false, SciMLBase.FullSpecialize, typeof(f_static), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED_NO_TIME), Nothing, Nothing, Nothing, Nothing}, Float64}, Float64, 2}}}, Tuple{Nothing}}}, NonlinearSolveBase.DampedNewtonDescentCache{SMatrix{6, 2, Float64, 12}, SVector{2, Float64}, Nothing, NonlinearSolveBase.NativeJLLinearSolveCache{SMatrix{6, 2, Float64, 12}, SVector{6, Float64}}, Nothing, Nothing, SVector{6, Float64}, NonlinearSolveFirstOrder.LevenbergMarquardtDampingCache{Float64, Float64, Float64, Float64, Float64, LinearAlgebra.Diagonal{Float64, SVector{2, Float64}}, SVector{2, Float64}, SMatrix{2, 2, Float64, 4}, NonlinearSolveFirstOrder.LevenbergMarquardtDampingFunction{Float64, Float64, Float64}, Float64}, Nothing, Val{false}, Val{:least_squares}}, Nothing, NonlinearSolveFirstOrder.LevenbergMarquardtTrustRegionCache{NonlinearFunction{false, SciMLBase.FullSpecialize, typeof(f_static), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED_NO_TIME), Nothing, Nothing, Nothing, Nothing}, SciMLBase.NullParameters, Float64, SVector{2, Float64}, Float64, typeof(NonlinearSolveBase.L2_NORM), Float64, SVector{2, Float64}, SVector{4, Float64}}, Nothing, Nothing, NonlinearSolveBase.NonlinearTerminationModeCache{SVector{2, Float64}, Float64, AbsNormSafeBestTerminationMode{typeof(NonlinearSolveBase.L2_NORM), Nothing, Int64, Float64, Int64}, Float64, Vector{Float64}, Nothing, Nothing, Vector{Float64}, Int64}, NonlinearSolveBase.NonlinearSolveTrace{Val{false}, Val{true}, Vector{NonlinearSolveBase.NonlinearSolveTraceEntry}, NonlinearSolveBase.NonlinearSolveTracing{Val{:minimal}}, NonlinearLeastSquaresProblem{SVector{2, Float64}, false, SciMLBase.NullParameters, NonlinearFunction{false, SciMLBase.FullSpecialize, typeof(f_static), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED_NO_TIME), Nothing, Nothing, Nothing, Nothing}, @Kwargs{}}}, @Kwargs{verbose::Bool, default_set::Bool, second_time::Bool, store_trace::Val{true}}, NonlinearSolveBase.NonlinearSolveDefaultInit})
    @ NonlinearSolveFirstOrder /workspace/julia/packages/NonlinearSolveFirstOrder/o91ZE/src/solve.jl:224
 [12] #step!#163
    @ /workspace/julia/packages/NonlinearSolveBase/xDyV6/src/solve.jl:253 [inlined]
 [13] step!
    @ /workspace/julia/packages/NonlinearSolveBase/xDyV6/src/solve.jl:247 [inlined]
 [14] solve!(cache::NonlinearSolveFirstOrder.GeneralizedFirstOrderAlgorithmCache{SVector{4, Float64}, SVector{2, Float64}, SVector{2, Float64}, SciMLBase.NullParameters, SVector{2, Float64}, SMatrix{4, 2, Float64, 8}, GeneralizedFirstOrderAlgorithm{Missing, NonlinearSolveFirstOrder.LevenbergMarquardtTrustRegion{Float64}, DampedNewtonDescent{Nothing, Float64, NonlinearSolveFirstOrder.LevenbergMarquardtDampingFunction{Float64, Float64, Float64}}, AutoForwardDiff{nothing, Nothing}, AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}, Nothing, Nothing, Bool}, AutoForwardDiff{nothing, Nothing}, Val{true}}, NonlinearLeastSquaresProblem{SVector{2, Float64}, false, SciMLBase.NullParameters, NonlinearFunction{false, SciMLBase.FullSpecialize, typeof(f_static), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED_NO_TIME), Nothing, Nothing, Nothing, Nothing}, @Kwargs{}}, Val{:TrustRegion}, NonlinearSolveBase.JacobianCache{SMatrix{4, 2, Float64, 8}, NonlinearFunction{false, SciMLBase.FullSpecialize, typeof(f_static), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED_NO_TIME), Nothing, Nothing, Nothing, Nothing}, SVector{4, Float64}, SVector{2, Float64}, SciMLBase.NullParameters, AutoForwardDiff{nothing, Nothing}, DifferentiationInterfaceForwardDiffExt.ForwardDiffOneArgJacobianPrep{Nothing, ForwardDiff.JacobianConfig{ForwardDiff.Tag{NonlinearFunction{false, SciMLBase.FullSpecialize, typeof(f_static), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED_NO_TIME), Nothing, Nothing, Nothing, Nothing}, Float64}, Float64, 2, MVector{2, ForwardDiff.Dual{ForwardDiff.Tag{NonlinearFunction{false, SciMLBase.FullSpecialize, typeof(f_static), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED_NO_TIME), Nothing, Nothing, Nothing, Nothing}, Float64}, Float64, 2}}}, Tuple{Nothing}}}, NonlinearSolveBase.DampedNewtonDescentCache{SMatrix{6, 2, Float64, 12}, SVector{2, Float64}, Nothing, NonlinearSolveBase.NativeJLLinearSolveCache{SMatrix{6, 2, Float64, 12}, SVector{6, Float64}}, Nothing, Nothing, SVector{6, Float64}, NonlinearSolveFirstOrder.LevenbergMarquardtDampingCache{Float64, Float64, Float64, Float64, Float64, LinearAlgebra.Diagonal{Float64, SVector{2, Float64}}, SVector{2, Float64}, SMatrix{2, 2, Float64, 4}, NonlinearSolveFirstOrder.LevenbergMarquardtDampingFunction{Float64, Float64, Float64}, Float64}, Nothing, Val{false}, Val{:least_squares}}, Nothing, NonlinearSolveFirstOrder.LevenbergMarquardtTrustRegionCache{NonlinearFunction{false, SciMLBase.FullSpecialize, typeof(f_static), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED_NO_TIME), Nothing, Nothing, Nothing, Nothing}, SciMLBase.NullParameters, Float64, SVector{2, Float64}, Float64, typeof(NonlinearSolveBase.L2_NORM), Float64, SVector{2, Float64}, SVector{4, Float64}}, Nothing, Nothing, NonlinearSolveBase.NonlinearTerminationModeCache{SVector{2, Float64}, Float64, AbsNormSafeBestTerminationMode{typeof(NonlinearSolveBase.L2_NORM), Nothing, Int64, Float64, Int64}, Float64, Vector{Float64}, Nothing, Nothing, Vector{Float64}, Int64}, NonlinearSolveBase.NonlinearSolveTrace{Val{false}, Val{true}, Vector{NonlinearSolveBase.NonlinearSolveTraceEntry}, NonlinearSolveBase.NonlinearSolveTracing{Val{:minimal}}, NonlinearLeastSquaresProblem{SVector{2, Float64}, false, SciMLBase.NullParameters, NonlinearFunction{false, SciMLBase.FullSpecialize, typeof(f_static), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED_NO_TIME), Nothing, Nothing, Nothing, Nothing}, @Kwargs{}}}, @Kwargs{verbose::Bool, default_set::Bool, second_time::Bool, store_trace::Val{true}}, NonlinearSolveBase.NonlinearSolveDefaultInit})
    @ NonlinearSolveBase /workspace/julia/packages/NonlinearSolveBase/xDyV6/src/solve.jl:18
 [15] #__solve#146
    @ /workspace/julia/packages/NonlinearSolveBase/xDyV6/src/solve.jl:6 [inlined]
 [16] __solve
    @ /workspace/julia/packages/NonlinearSolveBase/xDyV6/src/solve.jl:1 [inlined]
 [17] macro expansion
    @ /workspace/julia/packages/NonlinearSolveBase/xDyV6/src/solve.jl:173 [inlined]
 [18] __generated_polysolve(::NonlinearLeastSquaresProblem{SVector{2, Float64}, false, SciMLBase.NullParameters, NonlinearFunction{false, SciMLBase.FullSpecialize, typeof(f_static), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED_NO_TIME), Nothing, Nothing, Nothing, Nothing}, @Kwargs{}}, ::NonlinearSolvePolyAlgorithm{Val{6}, Tuple{GeneralizedFirstOrderAlgorithm{Missing, Missing, NewtonDescent{Nothing}, Nothing, Nothing, Nothing, Val{false}}, GeneralizedFirstOrderAlgorithm{Missing, NonlinearSolveFirstOrder.LevenbergMarquardtTrustRegion{Float64}, DampedNewtonDescent{Nothing, Float64, NonlinearSolveFirstOrder.LevenbergMarquardtDampingFunction{Float64, Float64, Float64}}, Nothing, Nothing, Nothing, Val{true}}, GeneralizedFirstOrderAlgorithm{Missing, NonlinearSolveFirstOrder.GenericTrustRegionScheme{NonlinearSolveFirstOrder.RadiusUpdateSchemes.__Simple, Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, Dogleg{NewtonDescent{Nothing}, SteepestDescent{Nothing}}, Nothing, Nothing, Nothing, Val{false}}, GeneralizedFirstOrderAlgorithm{BackTracking{Nothing, Float64, Float64, Float64, Val{3}, Float64, Bool}, Missing, NewtonDescent{Nothing}, Nothing, Nothing, Nothing, Val{false}}, GeneralizedFirstOrderAlgorithm{Missing, NonlinearSolveFirstOrder.GenericTrustRegionScheme{NonlinearSolveFirstOrder.RadiusUpdateSchemes.__Bastin, Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, Dogleg{NewtonDescent{Nothing}, SteepestDescent{Nothing}}, Nothing, Nothing, Nothing, Val{false}}, GeneralizedFirstOrderAlgorithm{Missing, NonlinearSolveFirstOrder.LevenbergMarquardtTrustRegion{Float64}, GeodesicAcceleration{DampedNewtonDescent{Nothing, Float64, NonlinearSolveFirstOrder.LevenbergMarquardtDampingFunction{Float64, Float64, Float64}}, Float64, Float64}, Nothing, Nothing, Nothing, Val{true}}}}; stats::SciMLBase.NLStats, alias_u0::Bool, verbose::Bool, initializealg::NonlinearSolveBase.NonlinearSolveDefaultInit, kwargs::@Kwargs{default_set::Bool, second_time::Bool, store_trace::Val{true}})
    @ NonlinearSolveBase /workspace/julia/packages/NonlinearSolveBase/xDyV6/src/solve.jl:130
 [19] __generated_polysolve
    @ /workspace/julia/packages/NonlinearSolveBase/xDyV6/src/solve.jl:130 [inlined]
 [20] #__solve#154
    @ /workspace/julia/packages/NonlinearSolveBase/xDyV6/src/solve.jl:127 [inlined]
 [21] __solve
    @ /workspace/julia/packages/NonlinearSolveBase/xDyV6/src/solve.jl:124 [inlined]
 [22] #__solve#20
    @ /workspace/julia/packages/NonlinearSolve/LZ5eJ/src/default.jl:49 [inlined]
 [23] __solve
    @ /workspace/julia/packages/NonlinearSolve/LZ5eJ/src/default.jl:46 [inlined]
 [24] #__solve#63
    @ /workspace/julia/packages/DiffEqBase/HyX7M/src/solve.jl:1451 [inlined]
 [25] __solve
    @ /workspace/julia/packages/DiffEqBase/HyX7M/src/solve.jl:1442 [inlined]
 [26] #solve_call#35
    @ /workspace/julia/packages/DiffEqBase/HyX7M/src/solve.jl:635 [inlined]
 [27] solve_call
    @ /workspace/julia/packages/DiffEqBase/HyX7M/src/solve.jl:592 [inlined]
 [28] #solve_up#44
    @ /workspace/julia/packages/DiffEqBase/HyX7M/src/solve.jl:1126 [inlined]
 [29] solve_up
    @ /workspace/julia/packages/DiffEqBase/HyX7M/src/solve.jl:1120 [inlined]
 [30] #solve#42
    @ /workspace/julia/packages/DiffEqBase/HyX7M/src/solve.jl:1057 [inlined]
 [31] top-level scope
    @ /workspace/dev/test-env/test.jl:28
 [32] eval
    @ ./boot.jl:430 [inlined]
 [33] include_string(mapexpr::typeof(identity), mod::Module, code::String, filename::String)
    @ Base ./loading.jl:2734
 [34] include_string(m::Module, txt::String, fname::String)
    @ Base ./loading.jl:2744
 [35] invokelatest(::Any, ::Any, ::Vararg{Any}; kwargs::@Kwargs{})
    @ Base ./essentials.jl:1055
 [36] invokelatest(::Any, ::Any, ::Vararg{Any})
    @ Base ./essentials.jl:1052
 [37] inlineeval(m::Module, code::String, code_line::Int64, code_column::Int64, file::String; softscope::Bool)
    @ VSCodeServer /workspace/.vscode/extensions/julialang.language-julia-1.127.2/scripts/packages/VSCodeServer/src/eval.jl:271
 [38] (::VSCodeServer.var"#69#74"{Bool, Bool, Bool, Module, String, Int64, Int64, String, VSCodeServer.ReplRunCodeRequestParams})()
    @ VSCodeServer /workspace/.vscode/extensions/julialang.language-julia-1.127.2/scripts/packages/VSCodeServer/src/eval.jl:181
 [39] withpath(f::VSCodeServer.var"#69#74"{Bool, Bool, Bool, Module, String, Int64, Int64, String, VSCodeServer.ReplRunCodeRequestParams}, path::String)
    @ VSCodeServer /workspace/.vscode/extensions/julialang.language-julia-1.127.2/scripts/packages/VSCodeServer/src/repl.jl:276
 [40] (::VSCodeServer.var"#68#73"{Bool, Bool, Bool, Module, String, Int64, Int64, String, VSCodeServer.ReplRunCodeRequestParams})()
    @ VSCodeServer /workspace/.vscode/extensions/julialang.language-julia-1.127.2/scripts/packages/VSCodeServer/src/eval.jl:179
 [41] hideprompt(f::VSCodeServer.var"#68#73"{Bool, Bool, Bool, Module, String, Int64, Int64, String, VSCodeServer.ReplRunCodeRequestParams})
    @ VSCodeServer /workspace/.vscode/extensions/julialang.language-julia-1.127.2/scripts/packages/VSCodeServer/src/repl.jl:38
 [42] #67
    @ /workspace/.vscode/extensions/julialang.language-julia-1.127.2/scripts/packages/VSCodeServer/src/eval.jl:150 [inlined]
 [43] with_logstate(f::VSCodeServer.var"#67#72"{Bool, Bool, Bool, Module, String, Int64, Int64, String, VSCodeServer.ReplRunCodeRequestParams}, logstate::Base.CoreLogging.LogState)
    @ Base.CoreLogging ./logging/logging.jl:522
 [44] with_logger
    @ ./logging/logging.jl:632 [inlined]
 [45] (::VSCodeServer.var"#66#71"{VSCodeServer.ReplRunCodeRequestParams})()
    @ VSCodeServer /workspace/.vscode/extensions/julialang.language-julia-1.127.2/scripts/packages/VSCodeServer/src/eval.jl:263
 [46] #invokelatest#2
    @ ./essentials.jl:1055 [inlined]
 [47] invokelatest(::Any)
    @ Base ./essentials.jl:1052
 [48] (::VSCodeServer.var"#64#65")()
    @ VSCodeServer /workspace/.vscode/extensions/julialang.language-julia-1.127.2/scripts/packages/VSCodeServer/src/eval.jl:34
in expression starting at /workspace/dev/test-env/test.jl:28

Environment (please complete the following information):

• Output of using Pkg; Pkg.status()

Status `/workspace/dev/test-env/Project.toml`
  [8913a72c] NonlinearSolve v4.5.0
  [90137ffa] StaticArrays v1.9.13

• Output of using Pkg; Pkg.status(; mode = PKGMODE_MANIFEST)

Status `/workspace/dev/test-env/Manifest.toml`
  [47edcb42] ADTypes v1.14.0
  [7d9f7c33] Accessors v0.1.42
  [79e6a3ab] Adapt v4.3.0
  [4fba245c] ArrayInterface v7.18.0
  [4c555306] ArrayLayouts v1.11.1
  [62783981] BitTwiddlingConvenienceFunctions v0.1.6
  [70df07ce] BracketingNonlinearSolve v1.1.1
  [2a0fbf3d] CPUSummary v0.2.6
  [d360d2e6] ChainRulesCore v1.25.1
  [fb6a15b2] CloseOpenIntervals v0.1.13
  [38540f10] CommonSolve v0.2.4
  [bbf7d656] CommonSubexpressions v0.3.1
  [f70d9fcc] CommonWorldInvalidations v1.0.0
  [34da2185] Compat v4.16.0
  [a33af91c] CompositionsBase v0.1.2
  [2569d6c7] ConcreteStructs v0.2.3
  [187b0558] ConstructionBase v1.5.8
  [adafc99b] CpuId v0.3.1
  [9a962f9c] DataAPI v1.16.0
  [864edb3b] DataStructures v0.18.22
  [e2d170a0] DataValueInterfaces v1.0.0
  [2b5f629d] DiffEqBase v6.167.0
  [163ba53b] DiffResults v1.1.0
  [b552c78f] DiffRules v1.15.1
  [a0c0ee7d] DifferentiationInterface v0.6.48
  [ffbed154] DocStringExtensions v0.9.3
  [4e289a0a] EnumX v1.0.4
  [f151be2c] EnzymeCore v0.8.8
  [e2ba6199] ExprTools v0.1.10
  [55351af7] ExproniconLite v0.10.14
  [7034ab61] FastBroadcast v0.3.5
  [9aa1b823] FastClosures v0.3.2
  [a4df4552] FastPower v1.1.1
  [1a297f60] FillArrays v1.13.0
  [6a86dc24] FiniteDiff v2.27.0
⌅ [f6369f11] ForwardDiff v0.10.38
  [069b7b12] FunctionWrappers v1.1.3
  [77dc65aa] FunctionWrappersWrappers v0.1.3
  [46192b85] GPUArraysCore v0.2.0
  [615f187c] IfElse v0.1.1
  [3587e190] InverseFunctions v0.1.17
  [92d709cd] IrrationalConstants v0.2.4
  [82899510] IteratorInterfaceExtensions v1.0.0
  [692b3bcd] JLLWrappers v1.7.0
  [ae98c720] Jieko v0.2.1
  [ba0b0d4f] Krylov v0.9.10
  [10f19ff3] LayoutPointers v0.1.17
  [5078a376] LazyArrays v2.6.1
  [87fe0de2] LineSearch v0.1.4
  [7ed4a6bd] LinearSolve v3.7.0
  [2ab3a3ac] LogExpFunctions v0.3.29
  [1914dd2f] MacroTools v0.5.15
  [d125e4d3] ManualMemory v0.1.8
  [bb5d69b7] MaybeInplace v0.1.4
  [2e0e35c7] Moshi v0.3.5
  [46d2c3a1] MuladdMacro v0.2.4
  [77ba4419] NaNMath v1.1.2
  [8913a72c] NonlinearSolve v4.5.0
  [be0214bd] NonlinearSolveBase v1.5.1
  [5959db7a] NonlinearSolveFirstOrder v1.3.0
  [9a2c21bd] NonlinearSolveQuasiNewton v1.2.0
  [26075421] NonlinearSolveSpectralMethods v1.1.0
  [bac558e1] OrderedCollections v1.8.0
  [d96e819e] Parameters v0.12.3
  [f517fe37] Polyester v0.7.16
  [1d0040c9] PolyesterWeave v0.2.2
⌅ [aea7be01] PrecompileTools v1.2.1
  [21216c6a] Preferences v1.4.3
  [3cdcf5f2] RecipesBase v1.3.4
  [731186ca] RecursiveArrayTools v3.31.1
  [189a3867] Reexport v1.2.2
  [ae029012] Requires v1.3.1
  [7e49a35a] RuntimeGeneratedFunctions v0.5.13
  [94e857df] SIMDTypes v0.1.0
  [0bca4576] SciMLBase v2.79.0
  [19f34311] SciMLJacobianOperators v0.1.1
  [c0aeaf25] SciMLOperators v0.3.13
  [53ae85a6] SciMLStructures v1.7.0
  [efcf1570] Setfield v1.1.2
  [727e6d20] SimpleNonlinearSolve v2.2.0
  [0a514795] SparseMatrixColorings v0.4.14
  [276daf66] SpecialFunctions v2.5.0
  [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
  [7792a7ef] StrideArraysCore v0.5.7
  [2efcf032] SymbolicIndexingInterface v0.3.38
  [3783bdb8] TableTraits v1.0.1
  [bd369af6] Tables v1.12.0
  [8290d209] ThreadingUtilities v0.5.2
  [a759f4b9] TimerOutputs v0.5.28
  [781d530d] TruncatedStacktraces v1.4.0
  [3a884ed6] UnPack v1.0.2
  [1d5cc7b8] IntelOpenMP_jll v2025.0.4+0
  [856f044c] MKL_jll v2025.0.1+1
  [efe28fd5] OpenSpecFun_jll v0.5.6+0
  [1317d2d5] oneTBB_jll v2022.0.0+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
  [ca575930] NetworkOptions v1.2.0
  [44cfe95a] Pkg v1.11.0
  [de0858da] Printf v1.11.0
  [9a3f8284] Random v1.11.0
  [ea8e919c] SHA v0.7.0
  [9e88b42a] Serialization v1.11.0
  [6462fe0b] Sockets v1.11.0
  [2f01184e] SparseArrays v1.11.0
  [fa267f1f] TOML v1.0.3
  [a4e569a6] Tar v1.10.0
  [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 v0.8.1+4
  [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

• Output of versioninfo()

Julia Version 1.11.4
Commit 8561cc3d68d (2025-03-10 11:36 UTC)
Build Info:
  Official https://julialang.org/ release
Platform Info:
  OS: Linux (x86_64-linux-gnu)
  CPU: 24 × 13th Gen Intel(R) Core(TM) i7-13700
  WORD_SIZE: 64
  LLVM: libLLVM-16.0.6 (ORCJIT, alderlake)
Threads: 1 default, 0 interactive, 1 GC (on 24 virtual cores)
Environment:
  JULIA_DEPOT_PATH = /workspace/julia
  JULIA_EDITOR = code
  JULIA_NUM_THREADS = 

[ChrisRackauckas]

We recommend the SimpleNonlinearSolve methods for this, since those will be leaner particularly with staticarrays, but we should get this fixed anyways.

[afossa]

With SimpleNonlinearSolve works. Thanks for pointing this out.