Chapter 4

Steady states and phase plots in an asymmetric network.

using OrdinaryDiffEq
using ModelingToolkit
using Plots
Plots.default(linewidth=2)

The model for figure 4.1, 4.2, and 4.3.

@independent_variables t
@variables A(t) B(t)
@parameters k1 k2 k3 k4 k5 n
D = Differential(t)

eqs = [
    D(A) ~ k1 / (1 + B^n) - (k3 + k5) * A,
    D(B) ~ k2 + k5 * A - k4 * B
]
@mtkbuild osys = ODESystem(eqs, t)

\[\begin{split} \begin{align} \frac{\mathrm{d} A\left( t \right)}{\mathrm{d}t} &= \frac{\mathtt{k1}}{1 + \left( B\left( t \right) \right)^{n}} + \left( - \mathtt{k3} - \mathtt{k5} \right) A\left( t \right) \\ \frac{\mathrm{d} B\left( t \right)}{\mathrm{d}t} &= \mathtt{k2} - \mathtt{k4} B\left( t \right) + \mathtt{k5} A\left( t \right) \end{align} \end{split}\]

Fig 4.2 A

tend = 1.5
ps1 = Dict(k1 => 20, k2 => 5, k3=> 5, k4 => 5, k5 => 2, n => 4)
prob = ODEProblem(osys, [A => 0.0, B => 0.0], tend, ps1)

u0s = [
    [0.0, 0.0],
    [0.5, 0.6],
    [0.17, 1.1],
    [0.25, 1.9],
    [1.85, 1.7],
]

5-element Vector{Vector{Float64}}:
 [0.0, 0.0]
 [0.5, 0.6]
 [0.17, 1.1]
 [0.25, 1.9]
 [1.85, 1.7]

sols = map(u0s) do u0
    solve(remake(prob, u0=u0))
end

5-element Vector{SciMLBase.ODESolution{Float64, 2, Vector{Vector{Float64}}, Nothing, Nothing, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Nothing, SciMLBase.ODEProblem{Vector{Float64}, Tuple{Float64, Float64}, true, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ModelingToolkit.ODESystem}, Nothing, ModelingToolkit.ODESystem, Nothing, Nothing}, Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}, SciMLBase.StandardODEProblem}, OrdinaryDiffEqCore.CompositeAlgorithm{0, Tuple{OrdinaryDiffEqTsit5.Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqRosenbrock.Rosenbrock23{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqRosenbrock.Rodas5P{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, LinearSolve.KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}, OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{OrdinaryDiffEqTsit5.Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{OrdinaryDiffEqRosenbrock.Rosenbrock23{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqRosenbrock.Rodas5P{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, LinearSolve.KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}, OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}}, OrdinaryDiffEqCore.InterpolationData{SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ModelingToolkit.ODESystem}, Nothing, ModelingToolkit.ODESystem, Nothing, Nothing}, Vector{Vector{Float64}}, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Vector{Int64}, OrdinaryDiffEqCore.DefaultCache{OrdinaryDiffEqTsit5.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqRosenbrock.Rosenbrock23Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.Rosenbrock23Tableau{Float64}, SciMLBase.TimeGradientWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ModelingToolkit.ODESystem}, Nothing, ModelingToolkit.ODESystem, Nothing, Nothing}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}}, SciMLBase.UJacobianWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ModelingToolkit.ODESystem}, Nothing, ModelingToolkit.ODESystem, Nothing, Nothing}, Float64, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolve.LinearSolveAdjoint{Missing}}, FiniteDiff.JacobianCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, UnitRange{Int64}, Nothing, Val{:forward}(), Float64}, FiniteDiff.GradientCache{Nothing, Vector{Float64}, Vector{Float64}, Float64, Val{:forward}(), Float64, Val{true}()}, Float64, OrdinaryDiffEqRosenbrock.Rosenbrock23{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ModelingToolkit.ODESystem}, Nothing, ModelingToolkit.ODESystem, Nothing, Nothing}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}}, SciMLBase.UJacobianWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, 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ModelingToolkit.ObservedFunctionCache{ModelingToolkit.ODESystem}, Nothing, ModelingToolkit.ODESystem, Nothing, Nothing}, Float64, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolve.LinearSolveAdjoint{Missing}}, FiniteDiff.JacobianCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, UnitRange{Int64}, Nothing, Val{:forward}(), Float64}, FiniteDiff.GradientCache{Nothing, Vector{Float64}, Vector{Float64}, Float64, Val{:forward}(), Float64, Val{true}()}, Float64, OrdinaryDiffEqRosenbrock.Rodas5P{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, StaticArraysCore.SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, true, Vector{Float64}, _A, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{uType, tType, tType2, rateType, J, W, ufType, jcType, lsType}, Float64} where {_A, uType, tType, tType2, rateType, J, W, ufType, jcType, lsType}), OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, StaticArraysCore.SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, true, Vector{Float64}, _A, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{uType, tType, tType2, rateType, J, W, ufType, jcType, lsType}, Float64} where {_A, uType, tType, tType2, rateType, J, W, ufType, jcType, lsType}), Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ModelingToolkit.ODESystem}, Nothing, ModelingToolkit.ODESystem, Nothing, Nothing}, Float64, Float64, Float64, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Bool, Val{true}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{OrdinaryDiffEqTsit5.Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{OrdinaryDiffEqRosenbrock.Rosenbrock23{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqRosenbrock.Rodas5P{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, LinearSolve.KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}, OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}, Vector{Float64}}, Nothing}, SciMLBase.DEStats, Vector{Int64}, Nothing, Nothing, Nothing}}:
 SciMLBase.ODESolution{Float64, 2, Vector{Vector{Float64}}, Nothing, Nothing, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Nothing, SciMLBase.ODEProblem{Vector{Float64}, Tuple{Float64, Float64}, true, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ModelingToolkit.ODESystem}, Nothing, ModelingToolkit.ODESystem, Nothing, Nothing}, Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}, SciMLBase.StandardODEProblem}, OrdinaryDiffEqCore.CompositeAlgorithm{0, Tuple{OrdinaryDiffEqTsit5.Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqRosenbrock.Rosenbrock23{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqRosenbrock.Rodas5P{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, LinearSolve.KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}, OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{OrdinaryDiffEqTsit5.Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{OrdinaryDiffEqRosenbrock.Rosenbrock23{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqRosenbrock.Rodas5P{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, LinearSolve.KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}, OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}}, OrdinaryDiffEqCore.InterpolationData{SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ModelingToolkit.ODESystem}, Nothing, ModelingToolkit.ODESystem, Nothing, Nothing}, Vector{Vector{Float64}}, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Vector{Int64}, OrdinaryDiffEqCore.DefaultCache{OrdinaryDiffEqTsit5.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqRosenbrock.Rosenbrock23Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.Rosenbrock23Tableau{Float64}, SciMLBase.TimeGradientWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ModelingToolkit.ODESystem}, Nothing, ModelingToolkit.ODESystem, Nothing, Nothing}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}}, SciMLBase.UJacobianWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ModelingToolkit.ODESystem}, Nothing, ModelingToolkit.ODESystem, Nothing, Nothing}, Float64, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolve.LinearSolveAdjoint{Missing}}, FiniteDiff.JacobianCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, UnitRange{Int64}, Nothing, Val{:forward}(), Float64}, FiniteDiff.GradientCache{Nothing, Vector{Float64}, Vector{Float64}, Float64, Val{:forward}(), Float64, Val{true}()}, Float64, OrdinaryDiffEqRosenbrock.Rosenbrock23{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ModelingToolkit.ODESystem}, Nothing, ModelingToolkit.ODESystem, Nothing, Nothing}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}}, SciMLBase.UJacobianWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ModelingToolkit.ODESystem}, Nothing, ModelingToolkit.ODESystem, Nothing, Nothing}, Float64, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolve.LinearSolveAdjoint{Missing}}, FiniteDiff.JacobianCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, UnitRange{Int64}, Nothing, Val{:forward}(), Float64}, FiniteDiff.GradientCache{Nothing, Vector{Float64}, Vector{Float64}, Float64, Val{:forward}(), Float64, Val{true}()}, Float64, OrdinaryDiffEqRosenbrock.Rodas5P{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, StaticArraysCore.SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, true, Vector{Float64}, _A, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{uType, tType, tType2, rateType, J, W, ufType, jcType, lsType}, Float64} where {_A, uType, tType, tType2, rateType, J, W, ufType, jcType, lsType}), OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, StaticArraysCore.SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, true, Vector{Float64}, _A, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{uType, tType, tType2, rateType, J, W, ufType, jcType, lsType}, Float64} where {_A, uType, tType, tType2, rateType, J, W, ufType, jcType, lsType}), Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, 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k3, :k4 => k4, :k2 => k2, :A => A(t), :k1 => k1, :osys₊A => osys₊A(t), :t => t…)), nothing, nothing, nothing, nothing)), nothing, nothing), [0.0, 0.0], (0.0, 1.5), ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}([5.0, 20.0, 4.0, 5.0, 2.0, 5.0], (), (), (), ()), Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}(), SciMLBase.StandardODEProblem()), OrdinaryDiffEqCore.CompositeAlgorithm{0, Tuple{OrdinaryDiffEqTsit5.Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqRosenbrock.Rosenbrock23{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqRosenbrock.Rodas5P{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, LinearSolve.KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}, OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{OrdinaryDiffEqTsit5.Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{OrdinaryDiffEqRosenbrock.Rosenbrock23{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqRosenbrock.Rodas5P{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, LinearSolve.KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}, OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}}((OrdinaryDiffEqTsit5.Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}(OrdinaryDiffEqCore.trivial_limiter!, OrdinaryDiffEqCore.trivial_limiter!, static(false)), OrdinaryDiffEqVerner.Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}(OrdinaryDiffEqCore.trivial_limiter!, OrdinaryDiffEqCore.trivial_limiter!, static(false), true), OrdinaryDiffEqRosenbrock.Rosenbrock23{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}(nothing, OrdinaryDiffEqCore.DEFAULT_PRECS, OrdinaryDiffEqCore.trivial_limiter!, OrdinaryDiffEqCore.trivial_limiter!, ADTypes.AutoFiniteDiff()), OrdinaryDiffEqRosenbrock.Rodas5P{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}(nothing, OrdinaryDiffEqCore.DEFAULT_PRECS, OrdinaryDiffEqCore.trivial_limiter!, OrdinaryDiffEqCore.trivial_limiter!, ADTypes.AutoFiniteDiff()), OrdinaryDiffEqBDF.FBDF{5, 0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}(Val{5}(), nothing, OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}(1//100, 10, 1//5, 1//5, false, true, 0//1), OrdinaryDiffEqCore.DEFAULT_PRECS, nothing, nothing, :linear, :Standard, OrdinaryDiffEqCore.trivial_limiter!, ADTypes.AutoFiniteDiff()), OrdinaryDiffEqBDF.FBDF{5, 0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, LinearSolve.KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}, OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}(Val{5}(), LinearSolve.KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}(Krylov.gmres!, 0, 0, nothing, (), Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}()), OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}(1//100, 10, 1//5, 1//5, false, true, 0//1), OrdinaryDiffEqCore.DEFAULT_PRECS, nothing, nothing, :linear, :Standard, OrdinaryDiffEqCore.trivial_limiter!, ADTypes.AutoFiniteDiff())), OrdinaryDiffEqCore.AutoSwitchCache{Tuple{OrdinaryDiffEqTsit5.Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{OrdinaryDiffEqRosenbrock.Rosenbrock23{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqRosenbrock.Rodas5P{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, LinearSolve.KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}, OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}(-2, 2, (OrdinaryDiffEqTsit5.Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}(OrdinaryDiffEqCore.trivial_limiter!, OrdinaryDiffEqCore.trivial_limiter!, static(false)), OrdinaryDiffEqVerner.Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}(OrdinaryDiffEqCore.trivial_limiter!, OrdinaryDiffEqCore.trivial_limiter!, static(false), true)), (OrdinaryDiffEqRosenbrock.Rosenbrock23{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}(nothing, OrdinaryDiffEqCore.DEFAULT_PRECS, OrdinaryDiffEqCore.trivial_limiter!, OrdinaryDiffEqCore.trivial_limiter!, ADTypes.AutoFiniteDiff()), OrdinaryDiffEqRosenbrock.Rodas5P{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}(nothing, OrdinaryDiffEqCore.DEFAULT_PRECS, OrdinaryDiffEqCore.trivial_limiter!, OrdinaryDiffEqCore.trivial_limiter!, ADTypes.AutoFiniteDiff()), OrdinaryDiffEqBDF.FBDF{5, 0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}(Val{5}(), nothing, OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}(1//100, 10, 1//5, 1//5, false, true, 0//1), OrdinaryDiffEqCore.DEFAULT_PRECS, nothing, nothing, :linear, :Standard, OrdinaryDiffEqCore.trivial_limiter!, ADTypes.AutoFiniteDiff()), OrdinaryDiffEqBDF.FBDF{5, 0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, LinearSolve.KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}, OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}(Val{5}(), LinearSolve.KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}(Krylov.gmres!, 0, 0, nothing, (), Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}()), OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}(1//100, 10, 1//5, 1//5, false, true, 0//1), OrdinaryDiffEqCore.DEFAULT_PRECS, nothing, nothing, :linear, :Standard, OrdinaryDiffEqCore.trivial_limiter!, ADTypes.AutoFiniteDiff())), false, 10, 3, 9//10, 9//10, 2, false, 5, 1)), OrdinaryDiffEqCore.InterpolationData{SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, 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OrdinaryDiffEqRosenbrock.Rosenbrock23Tableau{Float64}, SciMLBase.TimeGradientWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, 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Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ModelingToolkit.ODESystem}, Nothing, ModelingToolkit.ODESystem, Nothing, Nothing}, Float64, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolve.LinearSolveAdjoint{Missing}}, FiniteDiff.JacobianCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, UnitRange{Int64}, Nothing, Val{:forward}(), Float64}, FiniteDiff.GradientCache{Nothing, Vector{Float64}, Vector{Float64}, Float64, Val{:forward}(), Float64, Val{true}()}, Float64, OrdinaryDiffEqRosenbrock.Rodas5P{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, StaticArraysCore.SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, true, Vector{Float64}, _A, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{uType, tType, tType2, rateType, J, W, ufType, jcType, lsType}, Float64} where {_A, uType, tType, tType2, rateType, J, W, ufType, jcType, lsType}), OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, StaticArraysCore.SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, true, Vector{Float64}, _A, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{uType, tType, tType2, rateType, J, W, ufType, jcType, lsType}, Float64} where {_A, uType, tType, tType2, rateType, J, W, ufType, jcType, lsType}), Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ModelingToolkit.ODESystem}, Nothing, ModelingToolkit.ODESystem, Nothing, Nothing}, Float64, Float64, Float64, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Bool, Val{true}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{OrdinaryDiffEqTsit5.Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{OrdinaryDiffEqRosenbrock.Rosenbrock23{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqRosenbrock.Rodas5P{0, ADTypes.AutoFiniteDiff{Val{:forward}, 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typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}, Vector{Float64}}, Nothing}(SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ModelingToolkit.ODESystem}, Nothing, ModelingToolkit.ODESystem, Nothing, Nothing}(FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}((FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}(Ptr{Nothing} @0x00007a99cada3290, Ptr{Nothing} @0x00007a995925fb20, Base.RefValue{SciMLBase.Void{FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}}}(SciMLBase.Void{FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}}(FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}((FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}(Ptr{Nothing} @0x00007a99cadc5170, Ptr{Nothing} @0x00007a9953c20030, Base.RefValue{SciMLBase.Void{ModelingToolkit.var"#f#1091"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x330de7cc, 0x307e70ae, 0x1357ac93, 0xe4f51bec, 0x95461817), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x732cbe52, 0x7d56548e, 0x6553f166, 0x987d413a, 0xe9f89242), Nothing}}}}(SciMLBase.Void{ModelingToolkit.var"#f#1091"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x330de7cc, 0x307e70ae, 0x1357ac93, 0xe4f51bec, 0x95461817), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x732cbe52, 0x7d56548e, 0x6553f166, 0x987d413a, 0xe9f89242), Nothing}}}(ModelingToolkit.var"#f#1091"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x330de7cc, 0x307e70ae, 0x1357ac93, 0xe4f51bec, 0x95461817), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x732cbe52, 0x7d56548e, 0x6553f166, 0x987d413a, 0xe9f89242), Nothing}}(RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x330de7cc, 0x307e70ae, 0x1357ac93, 0xe4f51bec, 0x95461817), Nothing}(nothing), RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x732cbe52, 0x7d56548e, 0x6553f166, 0x987d413a, 0xe9f89242), Nothing}(nothing)))), SciMLBase.Void{ModelingToolkit.var"#f#1091"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x330de7cc, 0x307e70ae, 0x1357ac93, 0xe4f51bec, 0x95461817), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x732cbe52, 0x7d56548e, 0x6553f166, 0x987d413a, 0xe9f89242), Nothing}}}), FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}(Ptr{Nothing} @0x00007a99cadc5810, Ptr{Nothing} @0x00007a9953c20038, Base.RefValue{SciMLBase.Void{ModelingToolkit.var"#f#1091"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x330de7cc, 0x307e70ae, 0x1357ac93, 0xe4f51bec, 0x95461817), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x732cbe52, 0x7d56548e, 0x6553f166, 0x987d413a, 0xe9f89242), Nothing}}}}(SciMLBase.Void{ModelingToolkit.var"#f#1091"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x330de7cc, 0x307e70ae, 0x1357ac93, 0xe4f51bec, 0x95461817), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x732cbe52, 0x7d56548e, 0x6553f166, 0x987d413a, 0xe9f89242), Nothing}}}(ModelingToolkit.var"#f#1091"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x330de7cc, 0x307e70ae, 0x1357ac93, 0xe4f51bec, 0x95461817), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x732cbe52, 0x7d56548e, 0x6553f166, 0x987d413a, 0xe9f89242), 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[-0.8262481349268089, -0.18891731052712468], [-0.7951211637352245, -0.2307547734789832], [-0.7877756058221301, -0.24004473111590396], [-0.7276347042052134, -0.15639037370021458]], [[-0.7276347042052134, -0.15639037370021458], [-0.6011485616212582, -0.16895542091889193], [-0.49961964452710195, -0.16963079574541684], [-0.2007411891006825, -0.19535358799751212], [-0.1627134914804662, -0.22259940563464142], [-0.15437302030909716, -0.22863918019471874], [-0.1776940080278928, -0.15627565891832917]], [[-0.1776940080278928, -0.15627565891832917], [-0.11259628590235593, -0.1470465135162513], [-0.0704864283927833, -0.13373637881722278], [0.07734617842505376, -0.11690042661397237], [0.11965919810487247, -0.13427972337165572], [0.1288268153125962, -0.13826750725068448], [0.046729607272337326, -0.08514439806984941]], [[0.046729607272337326, -0.08514439806984941], [0.06486642046402302, -0.07103601718401586], [0.06712819642350887, -0.05842989156228895], [0.12706727462096, -0.037804264160291146], [0.1784722689918885, -0.047496106332639565], [0.19006106830256186, -0.04998871025660656], [0.0646115903508786, -0.021058006246910566]], [[0.0646115903508786, -0.021058006246910566], [0.05896099250188058, -0.014503377821792451], [0.05090692010499698, -0.010312084869057214], [0.051355908171472286, 0.0027946244525098862], [0.07026142386863476, 0.005495549631758578], [0.07476801219516815, 0.005993172525698087], [0.025576420633120378, 0.0009095352425882997]], [[0.025576420633120378, 0.0009095352425882997], [0.019518591960467013, 0.0023965456134942276], [0.014915356620674558, 0.0026299138720633497], [0.007391075933346869, 0.007992187670386564], [0.010838917732124642, 0.012347588452108704], [0.011839421336873102, 0.013324709284602054], [0.0026273891193033805, 0.0028944781970361433]], [[0.0026273891193033805, 0.0028944781970361433], [0.0015756947923435405, 0.0027108874764976143], [0.0008875345265249024, 0.0024723967060198415], [-0.0014794918749174713, 0.002061852795846031], [-0.00214228484139678, 0.002276550829639623], [-0.0022869396615794457, 0.0023252879438355745], [-0.001018318640241489, 0.0015973476160933142]]], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], true, OrdinaryDiffEqCore.DefaultCache{OrdinaryDiffEqTsit5.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqRosenbrock.Rosenbrock23Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.Rosenbrock23Tableau{Float64}, SciMLBase.TimeGradientWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ModelingToolkit.ODESystem}, Nothing, ModelingToolkit.ODESystem, Nothing, Nothing}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}}, SciMLBase.UJacobianWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ModelingToolkit.ODESystem}, Nothing, ModelingToolkit.ODESystem, Nothing, Nothing}, Float64, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolve.LinearSolveAdjoint{Missing}}, FiniteDiff.JacobianCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, UnitRange{Int64}, Nothing, Val{:forward}(), Float64}, FiniteDiff.GradientCache{Nothing, Vector{Float64}, Vector{Float64}, Float64, Val{:forward}(), Float64, Val{true}()}, Float64, OrdinaryDiffEqRosenbrock.Rosenbrock23{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ModelingToolkit.ODESystem}, Nothing, ModelingToolkit.ODESystem, Nothing, Nothing}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}}, SciMLBase.UJacobianWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ModelingToolkit.ODESystem}, Nothing, ModelingToolkit.ODESystem, Nothing, Nothing}, Float64, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolve.LinearSolveAdjoint{Missing}}, FiniteDiff.JacobianCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, UnitRange{Int64}, Nothing, Val{:forward}(), Float64}, FiniteDiff.GradientCache{Nothing, Vector{Float64}, Vector{Float64}, Float64, Val{:forward}(), Float64, Val{true}()}, Float64, OrdinaryDiffEqRosenbrock.Rodas5P{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, StaticArraysCore.SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, true, Vector{Float64}, _A, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{uType, tType, tType2, rateType, J, W, ufType, jcType, lsType}, Float64} where {_A, uType, tType, tType2, rateType, J, W, ufType, jcType, lsType}), OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, StaticArraysCore.SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, true, Vector{Float64}, _A, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{uType, tType, tType2, rateType, J, W, ufType, jcType, lsType}, Float64} where {_A, uType, tType, tType2, rateType, J, W, ufType, jcType, lsType}), Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ModelingToolkit.ODESystem}, Nothing, ModelingToolkit.ODESystem, Nothing, Nothing}, Float64, Float64, Float64, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Bool, Val{true}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{OrdinaryDiffEqTsit5.Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{OrdinaryDiffEqRosenbrock.Rosenbrock23{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqRosenbrock.Rodas5P{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, LinearSolve.KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}, OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}, Vector{Float64}}(([0.7450079928847589, 1.297683727630685], [0.0, 0.0], Float64, Float64, Float64, [0.7449601569083191, 1.2974051671239204], [0.7449601569083191, 1.2974051671239204], SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, 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OrdinaryDiffEqRosenbrock.Rosenbrock23{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ModelingToolkit.ODESystem}, Nothing, ModelingToolkit.ODESystem, Nothing, Nothing}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}}, SciMLBase.UJacobianWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ModelingToolkit.ODESystem}, Nothing, ModelingToolkit.ODESystem, Nothing, Nothing}, Float64, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolve.LinearSolveAdjoint{Missing}}, FiniteDiff.JacobianCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, UnitRange{Int64}, Nothing, Val{:forward}(), Float64}, FiniteDiff.GradientCache{Nothing, Vector{Float64}, Vector{Float64}, Float64, Val{:forward}(), Float64, Val{true}()}, Float64, OrdinaryDiffEqRosenbrock.Rodas5P{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, StaticArraysCore.SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, true, Vector{Float64}, _A, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{uType, tType, tType2, rateType, J, W, ufType, jcType, lsType}, Float64} where {_A, uType, tType, tType2, rateType, J, W, ufType, jcType, lsType}), OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, StaticArraysCore.SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, true, Vector{Float64}, _A, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{uType, tType, tType2, rateType, J, W, ufType, jcType, lsType}, Float64} where {_A, uType, tType, tType2, rateType, J, W, ufType, jcType, lsType}), Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ModelingToolkit.ODESystem}, Nothing, ModelingToolkit.ODESystem, Nothing, Nothing}, Float64, Float64, Float64, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Bool, Val{true}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{OrdinaryDiffEqTsit5.Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{OrdinaryDiffEqRosenbrock.Rosenbrock23{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqRosenbrock.Rodas5P{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, LinearSolve.KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}, OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}, Vector{Float64}}, Nothing}, SciMLBase.DEStats, Vector{Int64}, Nothing, Nothing, Nothing}([[0.5, 0.6], [0.9112891183893631, 0.7099361469945396], [1.166250287048466, 0.8208170461821828], [1.3273358009637213, 0.9696207480902007], [1.3137086140507843, 1.116169486424659], [1.1770037561159525, 1.231170748112567], [1.0072519483270643, 1.299300695022761], [0.8651070200517825, 1.325852664929561], [0.7774338819907777, 1.3254392523947824], [0.7387740098210448, 1.3144862502216876], [0.7319288233481587, 1.3039210380906394], [0.7382472269875766, 1.2982648171730744], [0.7434185136928546, 1.2972680400936096], [0.744824155840934, 1.2975994315503099], [0.7448192672926629, 1.297773021960766]], nothing, nothing, [0.0, 0.0347108405788685, 0.06859349146921025, 0.11748394392018471, 0.17769036737931904, 0.2492811996462944, 0.33133760943487633, 0.42537915402163673, 0.5303020202398778, 0.6489088064489306, 0.7864240410216723, 0.9581033458486243, 1.1481031502032282, 1.3560591264579407, 1.5], [[[0.5, 0.6]], [[14.205382436260624, 3.0], [13.416067204297628, 3.074945326366455], [12.63979220446099, 3.129471664257], [10.018358120988045, 3.277994253447125], [9.672326623834731, 3.3010677636724073], [9.586616219759545, 3.3060574870834243], [9.56961634988947, 3.2728975018060282]], [[9.56961634988947, 3.2728975018060282], [8.873728567107683, 3.288034033145884], [8.197528784472363, 3.2869600837422026], [5.959623109651952, 3.2577135787363174], [5.669687334355668, 3.256803311954907], [5.598281743829993, 3.2559870795480226], [5.592102222253708, 3.228415343186018]], [[5.592102222253708, 3.228415343186018], [4.748605233246254, 3.189390131600435], [3.984541327043928, 3.1246836361255133], [1.640284909674639, 2.899020945963986], [1.3535144546984945, 2.8879522569205016], [1.284878520103053, 2.8840541465496154], [1.3248729189009882, 2.806567861476439]], [[1.3248729189009882, 2.806567861476439], [0.6823440501206175, 2.6962288708180218], [0.16933368057714837, 2.5676506756133533], [-1.2959085659041953, 2.177322135853633], [-1.511252348937571, 2.161490105064843], [-1.5603149214374268, 2.1564562534580207], [-1.3592864828821325, 2.046569795978274]], [[-1.3592864828821325, 2.046569795978274], [-1.6445102906315965, 1.8972901007213028], [-1.817258977092429, 1.747600261613666], [-2.3073595948119987, 1.3127719512852898], [-2.446795725862482, 1.288799316467816], [-2.4769289907354715, 1.2824143983884122], [-2.17399696212747, 1.1981537716690696]], [[-2.17399696212747, 1.1981537716690696], [-2.186691398823113, 1.0615675290181157], [-2.1415088435534892, 0.9388405254644296], [-2.033947193874446, 0.578870546950796], [-2.098617383384748, 0.5446191161826577], [-2.1117584417407365, 0.5364619692912123], [-1.8559037487884105, 0.5180004215403238]], [[-1.8559037487884105, 0.5180004215403238], [-1.7512403946570752, 0.42258668419582124], [-1.6302522566186504, 0.3458649573186401], [-1.3127275603157518, 0.11235418363947258], [-1.3316256141119487, 0.07653202420961258], [-1.3350113108846822, 0.0684092393568172], [-1.1659657021047858, 0.10095071545575962]], [[-1.1659657021047858, 0.10095071545575962], [-1.047061759682653, 0.05303178332638492], [-0.9349986667405465, 0.020429060392962883], [-0.6314454183298732, -0.08976172930368942], [-0.6239669802417538, -0.11895085223904611], [-0.6220496853804418, -0.1254290923706498], [-0.547643906943863, -0.07232849799235708]], [[-0.547643906943863, -0.07232849799235708], [-0.45900778262874464, -0.08633796356054924], [-0.3859928050105914, -0.0909415899124868], [-0.17963060189461366, -0.12176121396848338], [-0.16030203709035717, -0.1428710822237922], [-0.15614522224123828, -0.14755000260029205], [-0.15328871206446504, -0.09488323146634836]], [[-0.15328871206446504, -0.09488323146634836], [-0.10544487250098022, -0.09116728984089728], [-0.07342465763844341, -0.08377867022012309], [0.033240831655629854, -0.07903253714921821], [0.059849038345218375, -0.09317074768359501], [0.06554234289717886, -0.09640442671053728], [0.016942506492062748, -0.05574754375687929]], [[0.016942506492062748, -0.05574754375687929], [0.031749074386072884, -0.04710653638151707], [0.03524298718322427, -0.038980001448116086], [0.08056307033701149, -0.027980683405987916], [0.11516087718174894, -0.0363348518990565], [0.12290955207843712, -0.03843506710343059], [0.0394071147187276, -0.01482963189021902]], [[0.0394071147187276, -0.01482963189021902], [0.036354659245165344, -0.010150517232266454], [0.031029805689322565, -0.007206486458165573], [0.037274879787195125, 0.0014936889824601618], [0.05497883019155303, 0.0028718037370289995], [0.059208856212111804, 0.003068220532305821], [0.015049488049002413, 0.0004968269176615081]], [[0.015049488049002413, 0.0004968269176615081], [0.011324567395484486, 0.0014213970010299448], [0.00853604642444239, 0.0015324266011138565], [0.004474648236874934, 0.005116349820024846], [0.007044413059565713, 0.008095777231554635], [0.007787664139137007, 0.008765053063722217], [0.0012702307739713703, 0.0016511539303183387]], [[0.0012702307739713703, 0.0016511539303183387], [0.000609450144918533, 0.0015187046333171583], [0.00022754696275217867, 0.001350304103411748], [-0.0012703329819165887, 0.0011493890745608581], [-0.0018200569465500749, 0.0013671864328674843], [-0.0019392071918469256, 0.001418090354074364], [-0.0007581169766988083, 0.0007734247814961126]]], nothing, SciMLBase.ODEProblem{Vector{Float64}, Tuple{Float64, Float64}, true, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ModelingToolkit.ODESystem}, Nothing, ModelingToolkit.ODESystem, Nothing, Nothing}, Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}, SciMLBase.StandardODEProblem}(SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, 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Nothing}(FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, 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Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolve.LinearSolveAdjoint{Missing}}, FiniteDiff.JacobianCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, UnitRange{Int64}, Nothing, Val{:forward}(), Float64}, FiniteDiff.GradientCache{Nothing, Vector{Float64}, Vector{Float64}, Float64, Val{:forward}(), Float64, Val{true}()}, Float64, OrdinaryDiffEqRosenbrock.Rosenbrock23{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ModelingToolkit.ODESystem}, Nothing, ModelingToolkit.ODESystem, Nothing, Nothing}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}}, SciMLBase.UJacobianWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ModelingToolkit.ODESystem}, Nothing, ModelingToolkit.ODESystem, Nothing, Nothing}, Float64, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolve.LinearSolveAdjoint{Missing}}, FiniteDiff.JacobianCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, UnitRange{Int64}, Nothing, Val{:forward}(), Float64}, FiniteDiff.GradientCache{Nothing, Vector{Float64}, Vector{Float64}, Float64, Val{:forward}(), Float64, Val{true}()}, Float64, OrdinaryDiffEqRosenbrock.Rodas5P{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, StaticArraysCore.SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, true, Vector{Float64}, _A, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{uType, tType, tType2, rateType, J, W, ufType, jcType, lsType}, Float64} where {_A, uType, tType, tType2, rateType, J, W, ufType, jcType, lsType}), OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, StaticArraysCore.SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, true, Vector{Float64}, _A, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{uType, tType, tType2, rateType, J, W, ufType, jcType, lsType}, Float64} where {_A, uType, tType, tType2, rateType, J, W, ufType, jcType, lsType}), Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ModelingToolkit.ODESystem}, Nothing, ModelingToolkit.ODESystem, Nothing, Nothing}, Float64, Float64, Float64, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Bool, Val{true}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{OrdinaryDiffEqTsit5.Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{OrdinaryDiffEqRosenbrock.Rosenbrock23{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqRosenbrock.Rodas5P{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, LinearSolve.KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}, OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}, Vector{Float64}}, Nothing}(SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, 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Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ModelingToolkit.ODESystem}, Nothing, ModelingToolkit.ODESystem, Nothing, Nothing}(FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}((FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}(Ptr{Nothing} @0x00007a99cada3290, Ptr{Nothing} @0x00007a9959402380, Base.RefValue{SciMLBase.Void{FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, 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@0x00007a9953c20050, Base.RefValue{SciMLBase.Void{ModelingToolkit.var"#f#1091"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x330de7cc, 0x307e70ae, 0x1357ac93, 0xe4f51bec, 0x95461817), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x732cbe52, 0x7d56548e, 0x6553f166, 0x987d413a, 0xe9f89242), Nothing}}}}(SciMLBase.Void{ModelingToolkit.var"#f#1091"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x330de7cc, 0x307e70ae, 0x1357ac93, 0xe4f51bec, 0x95461817), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x732cbe52, 0x7d56548e, 0x6553f166, 0x987d413a, 0xe9f89242), 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[-2.3073595948119987, 1.3127719512852898], [-2.446795725862482, 1.288799316467816], [-2.4769289907354715, 1.2824143983884122], [-2.17399696212747, 1.1981537716690696]], [[-2.17399696212747, 1.1981537716690696], [-2.186691398823113, 1.0615675290181157], [-2.1415088435534892, 0.9388405254644296], [-2.033947193874446, 0.578870546950796], [-2.098617383384748, 0.5446191161826577], [-2.1117584417407365, 0.5364619692912123], [-1.8559037487884105, 0.5180004215403238]], [[-1.8559037487884105, 0.5180004215403238], [-1.7512403946570752, 0.42258668419582124], [-1.6302522566186504, 0.3458649573186401], [-1.3127275603157518, 0.11235418363947258], [-1.3316256141119487, 0.07653202420961258], [-1.3350113108846822, 0.0684092393568172], [-1.1659657021047858, 0.10095071545575962]], [[-1.1659657021047858, 0.10095071545575962], [-1.047061759682653, 0.05303178332638492], [-0.9349986667405465, 0.020429060392962883], [-0.6314454183298732, -0.08976172930368942], [-0.6239669802417538, -0.11895085223904611], [-0.6220496853804418, -0.1254290923706498], [-0.547643906943863, -0.07232849799235708]], [[-0.547643906943863, -0.07232849799235708], [-0.45900778262874464, -0.08633796356054924], [-0.3859928050105914, -0.0909415899124868], [-0.17963060189461366, -0.12176121396848338], [-0.16030203709035717, -0.1428710822237922], [-0.15614522224123828, -0.14755000260029205], [-0.15328871206446504, -0.09488323146634836]], [[-0.15328871206446504, -0.09488323146634836], [-0.10544487250098022, -0.09116728984089728], [-0.07342465763844341, -0.08377867022012309], [0.033240831655629854, -0.07903253714921821], [0.059849038345218375, -0.09317074768359501], [0.06554234289717886, -0.09640442671053728], [0.016942506492062748, -0.05574754375687929]], [[0.016942506492062748, -0.05574754375687929], [0.031749074386072884, -0.04710653638151707], [0.03524298718322427, -0.038980001448116086], [0.08056307033701149, -0.027980683405987916], [0.11516087718174894, -0.0363348518990565], [0.12290955207843712, -0.03843506710343059], [0.0394071147187276, -0.01482963189021902]], [[0.0394071147187276, -0.01482963189021902], [0.036354659245165344, -0.010150517232266454], [0.031029805689322565, -0.007206486458165573], [0.037274879787195125, 0.0014936889824601618], [0.05497883019155303, 0.0028718037370289995], [0.059208856212111804, 0.003068220532305821], [0.015049488049002413, 0.0004968269176615081]], [[0.015049488049002413, 0.0004968269176615081], [0.011324567395484486, 0.0014213970010299448], [0.00853604642444239, 0.0015324266011138565], [0.004474648236874934, 0.005116349820024846], [0.007044413059565713, 0.008095777231554635], [0.007787664139137007, 0.008765053063722217], [0.0012702307739713703, 0.0016511539303183387]], [[0.0012702307739713703, 0.0016511539303183387], [0.000609450144918533, 0.0015187046333171583], [0.00022754696275217867, 0.001350304103411748], [-0.0012703329819165887, 0.0011493890745608581], [-0.0018200569465500749, 0.0013671864328674843], [-0.0019392071918469256, 0.001418090354074364], [-0.0007581169766988083, 0.0007734247814961126]]], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], true, OrdinaryDiffEqCore.DefaultCache{OrdinaryDiffEqTsit5.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqRosenbrock.Rosenbrock23Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.Rosenbrock23Tableau{Float64}, SciMLBase.TimeGradientWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ModelingToolkit.ODESystem}, Nothing, ModelingToolkit.ODESystem, Nothing, Nothing}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}}, SciMLBase.UJacobianWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ModelingToolkit.ODESystem}, Nothing, ModelingToolkit.ODESystem, Nothing, Nothing}, Float64, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolve.LinearSolveAdjoint{Missing}}, FiniteDiff.JacobianCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, UnitRange{Int64}, Nothing, Val{:forward}(), Float64}, FiniteDiff.GradientCache{Nothing, Vector{Float64}, Vector{Float64}, Float64, Val{:forward}(), Float64, Val{true}()}, Float64, OrdinaryDiffEqRosenbrock.Rosenbrock23{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ModelingToolkit.ODESystem}, Nothing, ModelingToolkit.ODESystem, Nothing, Nothing}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}}, SciMLBase.UJacobianWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ModelingToolkit.ODESystem}, Nothing, ModelingToolkit.ODESystem, Nothing, Nothing}, Float64, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolve.LinearSolveAdjoint{Missing}}, FiniteDiff.JacobianCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, UnitRange{Int64}, Nothing, Val{:forward}(), Float64}, FiniteDiff.GradientCache{Nothing, Vector{Float64}, Vector{Float64}, Float64, Val{:forward}(), Float64, Val{true}()}, Float64, OrdinaryDiffEqRosenbrock.Rodas5P{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, StaticArraysCore.SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, true, Vector{Float64}, _A, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{uType, tType, tType2, rateType, J, W, ufType, jcType, lsType}, Float64} where {_A, uType, tType, tType2, rateType, J, W, ufType, jcType, lsType}), OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, StaticArraysCore.SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, true, Vector{Float64}, _A, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{uType, tType, tType2, rateType, J, W, ufType, jcType, lsType}, Float64} where {_A, uType, tType, tType2, rateType, J, W, ufType, jcType, lsType}), Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ModelingToolkit.ODESystem}, Nothing, ModelingToolkit.ODESystem, Nothing, Nothing}, Float64, Float64, Float64, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Bool, Val{true}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{OrdinaryDiffEqTsit5.Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{OrdinaryDiffEqRosenbrock.Rosenbrock23{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqRosenbrock.Rodas5P{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, LinearSolve.KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}, OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}, Vector{Float64}}(([0.7448192672926629, 1.297773021960766], [0.5, 0.6], Float64, Float64, Float64, [0.744824155840934, 1.2975994315503099], [0.744824155840934, 1.2975994315503099], SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, 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ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ModelingToolkit.ODESystem}, Nothing, ModelingToolkit.ODESystem, Nothing, Nothing}, Float64, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolve.LinearSolveAdjoint{Missing}}, FiniteDiff.JacobianCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, UnitRange{Int64}, Nothing, Val{:forward}(), Float64}, FiniteDiff.GradientCache{Nothing, Vector{Float64}, Vector{Float64}, Float64, Val{:forward}(), Float64, Val{true}()}, Float64, OrdinaryDiffEqRosenbrock.Rosenbrock23{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ModelingToolkit.ODESystem}, Nothing, ModelingToolkit.ODESystem, Nothing, Nothing}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}}, SciMLBase.UJacobianWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ModelingToolkit.ODESystem}, Nothing, ModelingToolkit.ODESystem, Nothing, Nothing}, Float64, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolve.LinearSolveAdjoint{Missing}}, FiniteDiff.JacobianCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, UnitRange{Int64}, Nothing, Val{:forward}(), Float64}, FiniteDiff.GradientCache{Nothing, Vector{Float64}, Vector{Float64}, Float64, Val{:forward}(), Float64, Val{true}()}, Float64, OrdinaryDiffEqRosenbrock.Rodas5P{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, StaticArraysCore.SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, true, Vector{Float64}, _A, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{uType, tType, tType2, rateType, J, W, ufType, jcType, lsType}, Float64} where {_A, uType, tType, tType2, rateType, J, W, ufType, jcType, lsType}), OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, StaticArraysCore.SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, true, Vector{Float64}, _A, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{uType, tType, tType2, rateType, J, W, ufType, jcType, lsType}, Float64} where {_A, uType, tType, tType2, rateType, J, W, ufType, jcType, lsType}), Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ModelingToolkit.ODESystem}, Nothing, ModelingToolkit.ODESystem, Nothing, Nothing}, Float64, Float64, Float64, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Bool, Val{true}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{OrdinaryDiffEqTsit5.Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{OrdinaryDiffEqRosenbrock.Rosenbrock23{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqRosenbrock.Rodas5P{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, LinearSolve.KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}, OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}, Vector{Float64}}, Nothing}, SciMLBase.DEStats, Vector{Int64}, Nothing, Nothing, Nothing}([[0.17, 1.1], [0.3839366594700541, 1.1022051277946812], [0.5578431064754493, 1.1174542023594414], [0.717676346166175, 1.1503121748265024], [0.8128762871047526, 1.1929906059013329], [0.8458318612210884, 1.2396072034145404], [0.826903489089268, 1.276822987627099], [0.789636277766745, 1.2965652418781688], [0.7607570600330001, 1.3022702464909681], [0.7461660680896892, 1.3013877593798533], [0.7425974243407729, 1.299161206514955], [0.7435435578472402, 1.29792478773544], [0.7445407773081215, 1.2977508251714809], [0.7446380829569474, 1.2977939727687393]], nothing, nothing, [0.0, 0.034795482476923975, 0.0723419738862229, 0.12499316702138305, 0.18726267747345937, 0.26717575925214476, 0.3656228649009842, 0.4787982611166257, 0.6025226360106888, 0.7437779071464902, 0.9068394046330295, 1.108261612023234, 1.3732002321558126, 1.5], [[[0.17, 1.1]], [[6.926553711294184, -0.15999999999999998], [6.670662360141634, -0.07791222724862085], [6.41091688871245, -0.004040431962423097], [5.550952829271628, 0.22804577455174413], [5.444047362755503, 0.2594410977234959], [5.417236222295389, 0.26696998888035395], [5.390394154698445, 0.25684767996670244]], [[5.390394154698445, 0.25684767996670244], [5.135201468402451, 0.31425418283188444], [4.882090780187701, 0.3633991237157459], [4.056645336920125, 0.5143884337069975], [3.954338638947429, 0.5357486278506873], [3.9288697391512635, 0.5407696486041471], [3.9098528852055137, 0.5284152011536916]], [[3.9098528852055137, 0.5284152011536916], [3.601796387869623, 0.5723051510936998], [3.309864053905623, 0.6027992165305778], [2.3989297624525197, 0.6925027862576332], [2.2928678741012893, 0.7108152447167337], [2.2668264696723437, 0.7148252153392238], [2.246597238302029, 0.6837918181998384]], [[2.246597238302029, 0.6837918181998384], [1.9793153027167856, 0.6945614481629152], [1.7407332033460357, 0.6933734843604002], [1.016067786439442, 0.6891682146863238], [0.9266144552577913, 0.6995795279912087], [0.9052462306994098, 0.7016062435388342], [0.9201821040302498, 0.660799544702841]], [[0.9201821040302498, 0.660799544702841], [0.7122132429220711, 0.6419684268677095], [0.5462652241646584, 0.6139257402031424], [0.04897532507255953, 0.5400670092291948], [-0.029253686786117505, 0.5491462882720657], [-0.04706906706663805, 0.5508368225962161], [0.029398274149623482, 0.4936277053694744]], [[0.029398274149623482, 0.4936277053694744], [-0.07852316301618423, 0.4554396735361588], [-0.1465649849661137, 0.41524321352887883], [-0.37489028511707634, 0.312921532082054], [-0.4434030551012391, 0.3186252577845927], [-0.45848071751396535, 0.31976668094204985], [-0.32056125817028747, 0.26969204004304115]], [[-0.32056125817028747, 0.26969204004304115], [-0.3405065037652708, 0.23343937827079286], [-0.33829810379329395, 0.2014285226480692], [-0.3730162307923326, 0.11628322424524962], [-0.42088982649568774, 0.11355596065987394], [-0.4314425411719327, 0.11299399807707267], [-0.30010990744357, 0.09644634614264658]], [[-0.30010990744357, 0.09644634614264658], [-0.2810986343043096, 0.0748843179686105], [-0.25633934803461145, 0.058705758534324914], [-0.2135053091306096, 0.010264442052084544], [-0.23555083616939942, 0.002480006085705533], [-0.24054362865632672, 0.0008133557904752564], [-0.16547814708647035, 0.010162887611159688]], [[-0.16547814708647035, 0.010162887611159688], [-0.1418522020686952, 0.0014806199560370992], [-0.12049262834385122, -0.003174897019068812], [-0.0739461333435365, -0.02328138255858314], [-0.08069679359688031, -0.031858514728485554], [-0.08242620907090004, -0.0337377450948817], [-0.052952937798625754, -0.014606660719888032]], [[-0.052952937798625754, -0.014606660719888032], [-0.03870130385542403, -0.015469661101296328], [-0.02890304054603199, -0.014564172825959565], [-0.00047766112795155635, -0.01939946550146998], [0.0037453001151517284, -0.026147566394724153], [0.004499871067227268, -0.027692523812390624], [-0.001670449098464033, -0.010611183893229015]], [[-0.001670449098464033, -0.010611183893229015], [0.0027854405520608694, -0.008998976691984684], [0.003983306754631322, -0.007279213451227173], [0.01820939369222252, -0.007391496145435772], [0.02842935445380501, -0.011332380280903553], [0.030688826620631104, -0.012312523793146957], [0.006369256385811539, -0.0025368229827194]], [[0.006369256385811539, -0.0025368229827194], [0.00575266636997096, -0.0014524178029708956], [0.004355837898251558, -0.0009258620060479394], [0.011529772304691654, 0.0007749397389540391], [0.02112275590530288, 0.0009403920688513256], [0.023485682381549466, 0.0008913934801888512], [0.0014550060253277763, 0.0003274287588383995]], [[0.0014550060253277763, 0.0003274287588383995], [0.0011676704139942373, 0.00035341406214484117], [0.0009438414557108032, 0.0003502335713592153], [0.0003051737364518914, 0.00041229915000196016], [0.00023016824103994082, 0.0004872038406336099], 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Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ModelingToolkit.ODESystem}, Nothing, ModelingToolkit.ODESystem, Nothing, Nothing}, Float64, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolve.LinearSolveAdjoint{Missing}}, FiniteDiff.JacobianCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, UnitRange{Int64}, Nothing, Val{:forward}(), Float64}, FiniteDiff.GradientCache{Nothing, Vector{Float64}, Vector{Float64}, Float64, Val{:forward}(), Float64, Val{true}()}, Float64, OrdinaryDiffEqRosenbrock.Rosenbrock23{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ModelingToolkit.ODESystem}, Nothing, ModelingToolkit.ODESystem, Nothing, Nothing}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}}, SciMLBase.UJacobianWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ModelingToolkit.ODESystem}, Nothing, ModelingToolkit.ODESystem, Nothing, Nothing}, Float64, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolve.LinearSolveAdjoint{Missing}}, FiniteDiff.JacobianCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, UnitRange{Int64}, Nothing, Val{:forward}(), Float64}, FiniteDiff.GradientCache{Nothing, Vector{Float64}, Vector{Float64}, Float64, Val{:forward}(), Float64, Val{true}()}, Float64, OrdinaryDiffEqRosenbrock.Rodas5P{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, StaticArraysCore.SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, true, Vector{Float64}, _A, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{uType, tType, tType2, rateType, J, W, ufType, jcType, lsType}, Float64} where {_A, uType, tType, tType2, rateType, J, W, ufType, jcType, lsType}), OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, StaticArraysCore.SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, true, Vector{Float64}, _A, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{uType, tType, tType2, rateType, J, W, ufType, jcType, lsType}, Float64} where {_A, uType, tType, tType2, rateType, J, W, ufType, jcType, lsType}), Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ModelingToolkit.ODESystem}, Nothing, ModelingToolkit.ODESystem, Nothing, Nothing}, Float64, Float64, Float64, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Bool, Val{true}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{OrdinaryDiffEqTsit5.Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{OrdinaryDiffEqRosenbrock.Rosenbrock23{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqRosenbrock.Rodas5P{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, LinearSolve.KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}, OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}, Vector{Float64}}, Nothing}(SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ModelingToolkit.ODESystem}, Nothing, ModelingToolkit.ODESystem, Nothing, Nothing}(FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}((FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}(Ptr{Nothing} @0x00007a99cada3290, Ptr{Nothing} @0x00007a9959403e80, Base.RefValue{SciMLBase.Void{FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}}}(SciMLBase.Void{FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}}(FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}((FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}(Ptr{Nothing} @0x00007a99cadc5170, Ptr{Nothing} @0x00007a9953c20070, Base.RefValue{SciMLBase.Void{ModelingToolkit.var"#f#1091"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x330de7cc, 0x307e70ae, 0x1357ac93, 0xe4f51bec, 0x95461817), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, 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k3, :k4 => k4, :k2 => k2, :A => A(t), :k1 => k1, :osys₊A => osys₊A(t), :t => t…)), nothing, nothing, nothing, nothing)), nothing, nothing), [[0.17, 1.1], [0.3839366594700541, 1.1022051277946812], [0.5578431064754493, 1.1174542023594414], [0.717676346166175, 1.1503121748265024], [0.8128762871047526, 1.1929906059013329], [0.8458318612210884, 1.2396072034145404], [0.826903489089268, 1.276822987627099], [0.789636277766745, 1.2965652418781688], [0.7607570600330001, 1.3022702464909681], [0.7461660680896892, 1.3013877593798533], [0.7425974243407729, 1.299161206514955], [0.7435435578472402, 1.29792478773544], [0.7445407773081215, 1.2977508251714809], [0.7446380829569474, 1.2977939727687393]], [0.0, 0.034795482476923975, 0.0723419738862229, 0.12499316702138305, 0.18726267747345937, 0.26717575925214476, 0.3656228649009842, 0.4787982611166257, 0.6025226360106888, 0.7437779071464902, 0.9068394046330295, 1.108261612023234, 1.3732002321558126, 1.5], [[[0.17, 1.1]], [[6.926553711294184, -0.15999999999999998], [6.670662360141634, -0.07791222724862085], [6.41091688871245, -0.004040431962423097], [5.550952829271628, 0.22804577455174413], [5.444047362755503, 0.2594410977234959], [5.417236222295389, 0.26696998888035395], [5.390394154698445, 0.25684767996670244]], [[5.390394154698445, 0.25684767996670244], [5.135201468402451, 0.31425418283188444], [4.882090780187701, 0.3633991237157459], [4.056645336920125, 0.5143884337069975], [3.954338638947429, 0.5357486278506873], [3.9288697391512635, 0.5407696486041471], [3.9098528852055137, 0.5284152011536916]], [[3.9098528852055137, 0.5284152011536916], [3.601796387869623, 0.5723051510936998], [3.309864053905623, 0.6027992165305778], [2.3989297624525197, 0.6925027862576332], [2.2928678741012893, 0.7108152447167337], [2.2668264696723437, 0.7148252153392238], [2.246597238302029, 0.6837918181998384]], [[2.246597238302029, 0.6837918181998384], [1.9793153027167856, 0.6945614481629152], [1.7407332033460357, 0.6933734843604002], [1.016067786439442, 0.6891682146863238], [0.9266144552577913, 0.6995795279912087], [0.9052462306994098, 0.7016062435388342], [0.9201821040302498, 0.660799544702841]], [[0.9201821040302498, 0.660799544702841], [0.7122132429220711, 0.6419684268677095], [0.5462652241646584, 0.6139257402031424], [0.04897532507255953, 0.5400670092291948], [-0.029253686786117505, 0.5491462882720657], [-0.04706906706663805, 0.5508368225962161], [0.029398274149623482, 0.4936277053694744]], [[0.029398274149623482, 0.4936277053694744], [-0.07852316301618423, 0.4554396735361588], [-0.1465649849661137, 0.41524321352887883], [-0.37489028511707634, 0.312921532082054], [-0.4434030551012391, 0.3186252577845927], [-0.45848071751396535, 0.31976668094204985], [-0.32056125817028747, 0.26969204004304115]], [[-0.32056125817028747, 0.26969204004304115], [-0.3405065037652708, 0.23343937827079286], [-0.33829810379329395, 0.2014285226480692], [-0.3730162307923326, 0.11628322424524962], [-0.42088982649568774, 0.11355596065987394], [-0.4314425411719327, 0.11299399807707267], [-0.30010990744357, 0.09644634614264658]], [[-0.30010990744357, 0.09644634614264658], [-0.2810986343043096, 0.0748843179686105], [-0.25633934803461145, 0.058705758534324914], [-0.2135053091306096, 0.010264442052084544], [-0.23555083616939942, 0.002480006085705533], [-0.24054362865632672, 0.0008133557904752564], [-0.16547814708647035, 0.010162887611159688]], [[-0.16547814708647035, 0.010162887611159688], [-0.1418522020686952, 0.0014806199560370992], [-0.12049262834385122, -0.003174897019068812], [-0.0739461333435365, -0.02328138255858314], [-0.08069679359688031, -0.031858514728485554], [-0.08242620907090004, -0.0337377450948817], [-0.052952937798625754, -0.014606660719888032]], [[-0.052952937798625754, -0.014606660719888032], [-0.03870130385542403, -0.015469661101296328], [-0.02890304054603199, -0.014564172825959565], [-0.00047766112795155635, -0.01939946550146998], [0.0037453001151517284, -0.026147566394724153], [0.004499871067227268, -0.027692523812390624], [-0.001670449098464033, -0.010611183893229015]], [[-0.001670449098464033, -0.010611183893229015], [0.0027854405520608694, -0.008998976691984684], [0.003983306754631322, -0.007279213451227173], [0.01820939369222252, -0.007391496145435772], [0.02842935445380501, -0.011332380280903553], [0.030688826620631104, -0.012312523793146957], [0.006369256385811539, -0.0025368229827194]], [[0.006369256385811539, -0.0025368229827194], [0.00575266636997096, -0.0014524178029708956], [0.004355837898251558, -0.0009258620060479394], [0.011529772304691654, 0.0007749397389540391], [0.02112275590530288, 0.0009403920688513256], [0.023485682381549466, 0.0008913934801888512], [0.0014550060253277763, 0.0003274287588383995]], [[0.0014550060253277763, 0.0003274287588383995], [0.0011676704139942373, 0.00035341406214484117], [0.0009438414557108032, 0.0003502335713592153], [0.0003051737364518914, 0.00041229915000196016], [0.00023016824103994082, 0.0004872038406336099], [0.00021459057955031113, 0.0005039165742879437], [0.0002612943143276425, 0.00030630207019877176]]], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], true, OrdinaryDiffEqCore.DefaultCache{OrdinaryDiffEqTsit5.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqRosenbrock.Rosenbrock23Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.Rosenbrock23Tableau{Float64}, SciMLBase.TimeGradientWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ModelingToolkit.ODESystem}, Nothing, ModelingToolkit.ODESystem, Nothing, Nothing}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}}, SciMLBase.UJacobianWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ModelingToolkit.ODESystem}, Nothing, ModelingToolkit.ODESystem, Nothing, Nothing}, Float64, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolve.LinearSolveAdjoint{Missing}}, FiniteDiff.JacobianCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, UnitRange{Int64}, Nothing, Val{:forward}(), Float64}, FiniteDiff.GradientCache{Nothing, Vector{Float64}, Vector{Float64}, Float64, Val{:forward}(), Float64, Val{true}()}, Float64, OrdinaryDiffEqRosenbrock.Rosenbrock23{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ModelingToolkit.ODESystem}, Nothing, ModelingToolkit.ODESystem, Nothing, Nothing}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}}, SciMLBase.UJacobianWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ModelingToolkit.ODESystem}, Nothing, ModelingToolkit.ODESystem, Nothing, Nothing}, Float64, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolve.LinearSolveAdjoint{Missing}}, FiniteDiff.JacobianCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, UnitRange{Int64}, Nothing, Val{:forward}(), Float64}, FiniteDiff.GradientCache{Nothing, Vector{Float64}, Vector{Float64}, Float64, Val{:forward}(), Float64, Val{true}()}, Float64, OrdinaryDiffEqRosenbrock.Rodas5P{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, StaticArraysCore.SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, true, Vector{Float64}, _A, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{uType, tType, tType2, rateType, J, W, ufType, jcType, lsType}, Float64} where {_A, uType, tType, tType2, rateType, J, W, ufType, jcType, lsType}), OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, StaticArraysCore.SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, true, Vector{Float64}, _A, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{uType, tType, tType2, rateType, J, W, ufType, jcType, lsType}, Float64} where {_A, uType, tType, tType2, rateType, J, W, ufType, jcType, lsType}), Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, 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OrdinaryDiffEqCore.AutoSwitchCache{Tuple{OrdinaryDiffEqTsit5.Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{OrdinaryDiffEqRosenbrock.Rosenbrock23{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqRosenbrock.Rodas5P{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, 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FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ModelingToolkit.ODESystem}, Nothing, ModelingToolkit.ODESystem, Nothing, Nothing}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}}, SciMLBase.UJacobianWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ModelingToolkit.ODESystem}, Nothing, ModelingToolkit.ODESystem, Nothing, Nothing}, Float64, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolve.LinearSolveAdjoint{Missing}}, FiniteDiff.JacobianCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, UnitRange{Int64}, Nothing, Val{:forward}(), Float64}, FiniteDiff.GradientCache{Nothing, Vector{Float64}, Vector{Float64}, Float64, Val{:forward}(), Float64, Val{true}()}, Float64, OrdinaryDiffEqRosenbrock.Rosenbrock23{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ModelingToolkit.ODESystem}, Nothing, ModelingToolkit.ODESystem, Nothing, Nothing}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}}, SciMLBase.UJacobianWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ModelingToolkit.ODESystem}, Nothing, ModelingToolkit.ODESystem, Nothing, Nothing}, Float64, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolve.LinearSolveAdjoint{Missing}}, FiniteDiff.JacobianCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, UnitRange{Int64}, Nothing, Val{:forward}(), Float64}, FiniteDiff.GradientCache{Nothing, Vector{Float64}, Vector{Float64}, Float64, Val{:forward}(), Float64, Val{true}()}, Float64, OrdinaryDiffEqRosenbrock.Rodas5P{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, StaticArraysCore.SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, true, Vector{Float64}, _A, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{uType, tType, tType2, rateType, J, W, ufType, jcType, lsType}, Float64} where {_A, uType, tType, tType2, rateType, J, W, ufType, jcType, lsType}), OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, StaticArraysCore.SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, true, Vector{Float64}, _A, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{uType, tType, tType2, rateType, J, W, ufType, jcType, lsType}, Float64} where {_A, uType, tType, tType2, rateType, J, W, ufType, jcType, lsType}), Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ModelingToolkit.ODESystem}, Nothing, ModelingToolkit.ODESystem, Nothing, Nothing}, Float64, Float64, Float64, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Bool, Val{true}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{OrdinaryDiffEqTsit5.Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{OrdinaryDiffEqRosenbrock.Rosenbrock23{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqRosenbrock.Rodas5P{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, LinearSolve.KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}, OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}, Vector{Float64}}, Nothing}, SciMLBase.DEStats, Vector{Int64}, Nothing, Nothing, Nothing}([[0.25, 1.9], [0.2490643787419133, 1.7291187820930705], [0.2718934479386221, 1.602976457876262], [0.3299605927594399, 1.4772753920375905], [0.41393689610754, 1.3859518048561048], [0.5187824762545363, 1.3224901632951163], [0.6178591704273442, 1.290006160591674], [0.693637210864638, 1.2802541807188996], [0.7363969023653725, 1.2835677233879512], [0.7515325790390954, 1.2907522454250773], [0.7509643225076907, 1.296145634362897], [0.7463850136850435, 1.2981291656103355], [0.74462575106317, 1.29808884429407], [0.7444523952038524, 1.2978871285946592]], nothing, nothing, [0.0, 0.047980860958021745, 0.09303110587876584, 0.1533355067498866, 0.21859265455651655, 0.2959391551630509, 0.38207083341840625, 0.48031068247123504, 0.5912770670389144, 0.7199153438722655, 0.8743808167973856, 1.0767431477708547, 1.2794240046703576, 1.5], [[[0.25, 1.9]], [[-0.3246965885362847, -4.0], [-0.21784077424600357, -3.8505181371566986], [-0.12040490057417297, -3.7049847256535036], [0.23050878880636594, -3.224763078821263], [0.28875786299826367, -3.1605114494324735], [0.30280755797012615, -3.144666708799109], [0.2687809881359349, -3.147465152981526]], [[0.2687809881359349, -3.147465152981526], [0.3534095480840356, -3.029421936695087], [0.429256298634936, -2.914074939258482], [0.7004252646267308, -2.533251829673544], [0.7455932463022732, -2.4825874000374917], [0.756417375334711, -2.470075269569804], [0.7274585687949617, -2.471095393504066]], [[0.7274585687949617, -2.471095393504066], [0.8189212097785104, -2.337010159193326], [0.8918828607149094, -2.2086233981357557], [1.1630351044033302, -1.7933207098843011], [1.220542391094574, -1.7400216131981288], [1.2338606213850376, -1.7269250006989467], [1.1609199218856423, -1.7264557746690727]], [[1.1609199218856423, -1.7264557746690727], [1.2195852176576616, -1.6113674130505782], [1.2565572433572463, -1.5027340834310434], [1.4012237756330417, -1.1569737776248792], [1.4457012650986223, -1.1139742477502002], [1.4555886925038402, -1.1034588503122222], [1.367095586088086, -1.101885232065444]], [[1.367095586088086, -1.101885232065444], [1.3829878003287877, -0.9992292246310746], [1.3736814755366837, -0.9058791131342171], [1.3760012178284673, -0.6174193673785007], [1.4151174184631095, -0.582792049195576], [1.42337365823796, -0.5744722692590707], [1.2959273947044503, -0.5748858639665086]], [[1.2959273947044503, -0.5748858639665086], [1.2604914515272223, -0.4990838078784312], [1.2073940432295789, -0.43392722616472157], [1.0760683959676882, -0.23606754639797445], [1.0996806292663646, -0.2105434748067836], [1.104388909685941, -0.20459538495581042], [0.9810365454277905, -0.2143124621036816]], [[0.9810365454277905, -0.2143124621036816], [0.9135490117348226, -0.16633061679380168], [0.84048487109634, -0.1292139270321475], [0.6530291274854374, -0.014694137398708396], [0.6646598611415513, 0.005174073773961396], 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~ k2 - k4*B(t) + k5*A(t)], t, SymbolicUtils.BasicSymbolic{Real}[A(t), B(t)], Any[k2, k1, n, k3, k5, k4], nothing, Dict{Any, Any}(:k5 => k5, :A => A(t), :n => n, :B => B(t), :k1 => k1, :k2 => k2, :k3 => k3, :k4 => k4), Any[], Symbolics.Equation[], Base.RefValue{Vector{Symbolics.Num}}(Symbolics.Num[]), Base.RefValue{Any}(Matrix{Symbolics.Num}(undef, 0, 0)), Base.RefValue{Any}(Matrix{Symbolics.Num}(undef, 0, 0)), Base.RefValue{Matrix{Symbolics.Num}}(Matrix{Symbolics.Num}(undef, 0, 0)), Base.RefValue{Matrix{Symbolics.Num}}(Matrix{Symbolics.Num}(undef, 0, 0)), :osys, "", ModelingToolkit.ODESystem[], Dict{Any, Any}(), Dict{Any, Any}(), nothing, nothing, Symbolics.Equation[], nothing, nothing, nothing, ModelingToolkit.SymbolicContinuousCallback[], ModelingToolkit.SymbolicDiscreteCallback[], Symbolics.Equation[], nothing, nothing, false, Any[], nothing, nothing, true, ModelingToolkit.IndexCache(Dict{SymbolicUtils.BasicSymbolic, Union{Int64, AbstractArray{Int64}}}(A(t) => 1, B(t) => 2, osys₊A(t) => 1, osys₊B(t) => 2), Dict{Union{SymbolicUtils.BasicSymbolic, Symbolics.CallWithMetadata}, ModelingToolkit.DiscreteIndex}(), Dict{Any, Vector{Int64}}(), Dict{SymbolicUtils.BasicSymbolic, Union{UnitRange{Int64}, Int64, Base.ReshapedArray{Int64, N, UnitRange{Int64}} where N}}(k2 => 1, k1 => 2, n => 3, k3 => 4, k5 => 5, k4 => 6), Dict{SymbolicUtils.BasicSymbolic, Tuple{Int64, Int64}}(), Dict{Union{SymbolicUtils.BasicSymbolic, Symbolics.CallWithMetadata}, Tuple{Int64, Int64}}(), Dict{SymbolicUtils.BasicSymbolic, Set{Union{SymbolicIndexingInterface.ContinuousTimeseries, Int64}}}(), Dict{Union{SymbolicUtils.BasicSymbolic, Symbolics.CallWithMetadata}, Set{Union{SymbolicIndexingInterface.ContinuousTimeseries, Int64}}}(), Vector{ModelingToolkit.BufferTemplate}[], ModelingToolkit.BufferTemplate(Real, 6), ModelingToolkit.BufferTemplate[], ModelingToolkit.BufferTemplate[], Dict{Symbol, Union{SymbolicUtils.BasicSymbolic, Symbolics.CallWithMetadata}}(:k5 => k5, :n => n, :B => B(t), :k3 => k3, :k4 => k4, :k2 => k2, :A => A(t), :k1 => k1, :osys₊A => osys₊A(t), :t => t…)), nothing, nothing, nothing, nothing)), nothing, nothing), [[0.25, 1.9], [0.2490643787419133, 1.7291187820930705], [0.2718934479386221, 1.602976457876262], [0.3299605927594399, 1.4772753920375905], [0.41393689610754, 1.3859518048561048], [0.5187824762545363, 1.3224901632951163], [0.6178591704273442, 1.290006160591674], [0.693637210864638, 1.2802541807188996], [0.7363969023653725, 1.2835677233879512], [0.7515325790390954, 1.2907522454250773], [0.7509643225076907, 1.296145634362897], [0.7463850136850435, 1.2981291656103355], [0.74462575106317, 1.29808884429407], [0.7444523952038524, 1.2978871285946592]], [0.0, 0.047980860958021745, 0.09303110587876584, 0.1533355067498866, 0.21859265455651655, 0.2959391551630509, 0.38207083341840625, 0.48031068247123504, 0.5912770670389144, 0.7199153438722655, 0.8743808167973856, 1.0767431477708547, 1.2794240046703576, 1.5], [[[0.25, 1.9]], [[-0.3246965885362847, -4.0], [-0.21784077424600357, -3.8505181371566986], [-0.12040490057417297, -3.7049847256535036], [0.23050878880636594, -3.224763078821263], [0.28875786299826367, -3.1605114494324735], [0.30280755797012615, -3.144666708799109], [0.2687809881359349, -3.147465152981526]], [[0.2687809881359349, -3.147465152981526], [0.3534095480840356, -3.029421936695087], [0.429256298634936, -2.914074939258482], [0.7004252646267308, -2.533251829673544], [0.7455932463022732, -2.4825874000374917], [0.756417375334711, -2.470075269569804], [0.7274585687949617, -2.471095393504066]], [[0.7274585687949617, -2.471095393504066], [0.8189212097785104, -2.337010159193326], [0.8918828607149094, -2.2086233981357557], [1.1630351044033302, -1.7933207098843011], [1.220542391094574, -1.7400216131981288], [1.2338606213850376, -1.7269250006989467], [1.1609199218856423, -1.7264557746690727]], [[1.1609199218856423, -1.7264557746690727], [1.2195852176576616, -1.6113674130505782], [1.2565572433572463, -1.5027340834310434], [1.4012237756330417, -1.1569737776248792], [1.4457012650986223, -1.1139742477502002], [1.4555886925038402, -1.1034588503122222], [1.367095586088086, -1.101885232065444]], [[1.367095586088086, -1.101885232065444], [1.3829878003287877, -0.9992292246310746], [1.3736814755366837, -0.9058791131342171], [1.3760012178284673, -0.6174193673785007], [1.4151174184631095, -0.582792049195576], [1.42337365823796, -0.5744722692590707], [1.2959273947044503, -0.5748858639665086]], [[1.2959273947044503, -0.5748858639665086], [1.2604914515272223, -0.4990838078784312], [1.2073940432295789, -0.43392722616472157], [1.0760683959676882, -0.23606754639797445], [1.0996806292663646, -0.2105434748067836], [1.104388909685941, -0.20459538495581042], [0.9810365454277905, -0.2143124621036816]], [[0.9810365454277905, -0.2143124621036816], [0.9135490117348226, -0.16633061679380168], [0.84048487109634, -0.1292139270321475], [0.6530291274854374, -0.014694137398708396], [0.6646598611415513, 0.005174073773961396], [0.6669625343614589, 0.009620050270044311], [0.5697580949981296, -0.013996481865222066]], [[0.5697580949981296, -0.013996481865222066], [0.5015943017577751, 0.007611921694520074], [0.4391393291013479, 0.0207942279959048], [0.2749281248203683, 0.06858165936620453], [0.2731224819212281, 0.08444719804451584], [0.2727604928118348, 0.08793279410016686], [0.22965957349067878, 0.05495518779098907]], [[0.22965957349067878, 0.05495518779098907], [0.18242585104299014, 0.05877721835636107], [0.14601905701543583, 0.05781643007803772], [0.0425573436941713, 0.06733566521502632], [0.030274883665234675, 0.07997667377378614], [0.027758231502038377, 0.08280112035633214], [0.03631164479017457, 0.04930393095280472]], [[0.03631164479017457, 0.04930393095280472], [0.015213988498693709, 0.04497931248242826], [0.0038465205665652036, 0.03945433297416123], [-0.0445851960807051, 0.034770367493317966], [-0.06459474159519107, 0.043430297557840225], [-0.06891927970410361, 0.04547539022253977], [-0.024405610766607744, 0.02120047320089613]], [[-0.024405610766607744, 0.02120047320089613], [-0.027068642163508017, 0.01615659461197616], [-0.02446408717234405, 0.012306605107908819], [-0.04665541319746502, 0.006556600204986607], [-0.07255347636769827, 0.009937581002572138], [-0.07856121727199383, 0.010901663538799733], [-0.015947454825838925, 0.0021241993184093477]], [[-0.015947454825838925, 0.0021241993184093477], [-0.013127432931891114, 0.0007368365086064532], [-0.010442426967661511, 0.000161557718927563], [-0.009436820635019494, -0.0034310736004745657], [-0.014512943408285572, -0.005399861266563777], [-0.015801670555372738, -0.0058171453858046895], [-0.0031539811742167245, -0.0011927193440097739]], [[-0.0031539811742167245, -0.0011927193440097739], [-0.0018670922974948212, -0.001204948709399245], [-0.001196042136729858, -0.0010225761387383514], [0.001341066690007331, -0.0020078477449838594], [0.0020934059153132623, -0.0032944518545825474], [0.00221492507206289, -0.0035990751133407883], [0.00045463271545020945, -0.0005308525655913776]]], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], true, OrdinaryDiffEqCore.DefaultCache{OrdinaryDiffEqTsit5.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqRosenbrock.Rosenbrock23Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.Rosenbrock23Tableau{Float64}, SciMLBase.TimeGradientWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ModelingToolkit.ODESystem}, Nothing, ModelingToolkit.ODESystem, Nothing, Nothing}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}}, SciMLBase.UJacobianWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ModelingToolkit.ODESystem}, Nothing, ModelingToolkit.ODESystem, Nothing, Nothing}, Float64, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolve.LinearSolveAdjoint{Missing}}, FiniteDiff.JacobianCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, UnitRange{Int64}, Nothing, Val{:forward}(), Float64}, FiniteDiff.GradientCache{Nothing, Vector{Float64}, Vector{Float64}, Float64, Val{:forward}(), Float64, Val{true}()}, Float64, OrdinaryDiffEqRosenbrock.Rosenbrock23{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ModelingToolkit.ODESystem}, Nothing, ModelingToolkit.ODESystem, Nothing, Nothing}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}}, SciMLBase.UJacobianWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ModelingToolkit.ODESystem}, Nothing, ModelingToolkit.ODESystem, Nothing, Nothing}, Float64, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolve.LinearSolveAdjoint{Missing}}, FiniteDiff.JacobianCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, UnitRange{Int64}, Nothing, Val{:forward}(), Float64}, FiniteDiff.GradientCache{Nothing, Vector{Float64}, Vector{Float64}, Float64, Val{:forward}(), Float64, Val{true}()}, Float64, OrdinaryDiffEqRosenbrock.Rodas5P{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, StaticArraysCore.SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, true, Vector{Float64}, _A, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{uType, tType, tType2, rateType, J, W, ufType, jcType, lsType}, Float64} where {_A, uType, tType, tType2, rateType, J, W, ufType, jcType, lsType}), OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, StaticArraysCore.SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, true, Vector{Float64}, _A, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{uType, tType, tType2, rateType, J, W, ufType, jcType, lsType}, Float64} where {_A, uType, tType, tType2, rateType, J, W, ufType, jcType, lsType}), Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ModelingToolkit.ODESystem}, Nothing, ModelingToolkit.ODESystem, Nothing, Nothing}, Float64, Float64, Float64, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Bool, Val{true}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{OrdinaryDiffEqTsit5.Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{OrdinaryDiffEqRosenbrock.Rosenbrock23{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqRosenbrock.Rodas5P{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, LinearSolve.KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}, OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}, Vector{Float64}}(([0.7444523952038524, 1.2978871285946592], [0.25, 1.9], Float64, Float64, Float64, [0.74462575106317, 1.29808884429407], [0.74462575106317, 1.29808884429407], SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ModelingToolkit.ODESystem}, Nothing, ModelingToolkit.ODESystem, Nothing, Nothing}(FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}((FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}(Ptr{Nothing} @0x00007a99cada3290, Ptr{Nothing} @0x00007a995944d810, Base.RefValue{SciMLBase.Void{FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}}}(SciMLBase.Void{FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}}(FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}((FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}(Ptr{Nothing} @0x00007a99cadc5170, Ptr{Nothing} @0x00007a9953c20090, Base.RefValue{SciMLBase.Void{ModelingToolkit.var"#f#1091"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x330de7cc, 0x307e70ae, 0x1357ac93, 0xe4f51bec, 0x95461817), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x732cbe52, 0x7d56548e, 0x6553f166, 0x987d413a, 0xe9f89242), Nothing}}}}(SciMLBase.Void{ModelingToolkit.var"#f#1091"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x330de7cc, 0x307e70ae, 0x1357ac93, 0xe4f51bec, 0x95461817), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x732cbe52, 0x7d56548e, 0x6553f166, 0x987d413a, 0xe9f89242), Nothing}}}(ModelingToolkit.var"#f#1091"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x330de7cc, 0x307e70ae, 0x1357ac93, 0xe4f51bec, 0x95461817), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x732cbe52, 0x7d56548e, 0x6553f166, 0x987d413a, 0xe9f89242), Nothing}}(RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x330de7cc, 0x307e70ae, 0x1357ac93, 0xe4f51bec, 0x95461817), Nothing}(nothing), RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x732cbe52, 0x7d56548e, 0x6553f166, 0x987d413a, 0xe9f89242), Nothing}(nothing)))), SciMLBase.Void{ModelingToolkit.var"#f#1091"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x330de7cc, 0x307e70ae, 0x1357ac93, 0xe4f51bec, 0x95461817), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x732cbe52, 0x7d56548e, 0x6553f166, 0x987d413a, 0xe9f89242), Nothing}}}), FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}(Ptr{Nothing} @0x00007a99cadc5810, Ptr{Nothing} @0x00007a9953c20098, Base.RefValue{SciMLBase.Void{ModelingToolkit.var"#f#1091"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x330de7cc, 0x307e70ae, 0x1357ac93, 0xe4f51bec, 0x95461817), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x732cbe52, 0x7d56548e, 0x6553f166, 0x987d413a, 0xe9f89242), Nothing}}}}(SciMLBase.Void{ModelingToolkit.var"#f#1091"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x330de7cc, 0x307e70ae, 0x1357ac93, 0xe4f51bec, 0x95461817), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x732cbe52, 0x7d56548e, 0x6553f166, 0x987d413a, 0xe9f89242), Nothing}}}(ModelingToolkit.var"#f#1091"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x330de7cc, 0x307e70ae, 0x1357ac93, 0xe4f51bec, 0x95461817), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x732cbe52, 0x7d56548e, 0x6553f166, 0x987d413a, 0xe9f89242), Nothing}}(RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x330de7cc, 0x307e70ae, 0x1357ac93, 0xe4f51bec, 0x95461817), Nothing}(nothing), RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x732cbe52, 0x7d56548e, 0x6553f166, 0x987d413a, 0xe9f89242), Nothing}(nothing)))), SciMLBase.Void{ModelingToolkit.var"#f#1091"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x330de7cc, 0x307e70ae, 0x1357ac93, 0xe4f51bec, 0x95461817), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x732cbe52, 0x7d56548e, 0x6553f166, 0x987d413a, 0xe9f89242), Nothing}}}), FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}(Ptr{Nothing} @0x00007a99cadc5d20, Ptr{Nothing} @0x00007a9953c200a0, Base.RefValue{SciMLBase.Void{ModelingToolkit.var"#f#1091"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x330de7cc, 0x307e70ae, 0x1357ac93, 0xe4f51bec, 0x95461817), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x732cbe52, 0x7d56548e, 0x6553f166, 0x987d413a, 0xe9f89242), 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OrdinaryDiffEqBDF.FBDF{5, 0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, LinearSolve.KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}, OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}}, OrdinaryDiffEqCore.InterpolationData{SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, 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FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, 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OrdinaryDiffEqRosenbrock.Rosenbrock23{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, 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typeof(OrdinaryDiffEqCore.trivial_limiter!)}(Val{5}(), LinearSolve.KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}(Krylov.gmres!, 0, 0, nothing, (), Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}()), OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}(1//100, 10, 1//5, 1//5, false, true, 0//1), OrdinaryDiffEqCore.DEFAULT_PRECS, nothing, nothing, :linear, :Standard, OrdinaryDiffEqCore.trivial_limiter!, ADTypes.AutoFiniteDiff())), OrdinaryDiffEqCore.AutoSwitchCache{Tuple{OrdinaryDiffEqTsit5.Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{OrdinaryDiffEqRosenbrock.Rosenbrock23{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, 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typeof(OrdinaryDiffEqCore.trivial_limiter!)}(nothing, OrdinaryDiffEqCore.DEFAULT_PRECS, OrdinaryDiffEqCore.trivial_limiter!, OrdinaryDiffEqCore.trivial_limiter!, ADTypes.AutoFiniteDiff()), OrdinaryDiffEqRosenbrock.Rodas5P{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}(nothing, OrdinaryDiffEqCore.DEFAULT_PRECS, OrdinaryDiffEqCore.trivial_limiter!, OrdinaryDiffEqCore.trivial_limiter!, ADTypes.AutoFiniteDiff()), OrdinaryDiffEqBDF.FBDF{5, 0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}(Val{5}(), nothing, OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}(1//100, 10, 1//5, 1//5, false, true, 0//1), OrdinaryDiffEqCore.DEFAULT_PRECS, nothing, nothing, :linear, :Standard, OrdinaryDiffEqCore.trivial_limiter!, ADTypes.AutoFiniteDiff()), OrdinaryDiffEqBDF.FBDF{5, 0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, LinearSolve.KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}, OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}(Val{5}(), LinearSolve.KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}(Krylov.gmres!, 0, 0, nothing, (), Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}()), OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}(1//100, 10, 1//5, 1//5, false, true, 0//1), OrdinaryDiffEqCore.DEFAULT_PRECS, nothing, nothing, :linear, :Standard, OrdinaryDiffEqCore.trivial_limiter!, ADTypes.AutoFiniteDiff())), false, 10, 3, 9//10, 9//10, 2, false, 5, 1)), OrdinaryDiffEqCore.InterpolationData{SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, 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Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ModelingToolkit.ODESystem}, Nothing, ModelingToolkit.ODESystem, Nothing, Nothing}, Float64, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolve.LinearSolveAdjoint{Missing}}, FiniteDiff.JacobianCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, UnitRange{Int64}, Nothing, Val{:forward}(), Float64}, FiniteDiff.GradientCache{Nothing, Vector{Float64}, Vector{Float64}, Float64, Val{:forward}(), Float64, Val{true}()}, Float64, OrdinaryDiffEqRosenbrock.Rodas5P{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, StaticArraysCore.SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, true, Vector{Float64}, _A, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{uType, tType, tType2, rateType, J, W, ufType, jcType, lsType}, Float64} where {_A, uType, tType, tType2, rateType, J, W, ufType, jcType, lsType}), OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, StaticArraysCore.SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, true, Vector{Float64}, _A, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{uType, tType, tType2, rateType, J, W, ufType, jcType, lsType}, Float64} where {_A, uType, tType, tType2, rateType, J, W, ufType, jcType, lsType}), Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ModelingToolkit.ODESystem}, Nothing, ModelingToolkit.ODESystem, Nothing, Nothing}, Float64, Float64, Float64, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Bool, Val{true}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{OrdinaryDiffEqTsit5.Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{OrdinaryDiffEqRosenbrock.Rosenbrock23{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqRosenbrock.Rodas5P{0, ADTypes.AutoFiniteDiff{Val{:forward}, 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typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}, Vector{Float64}}(([0.7446357851437497, 1.2979299693788324], [1.85, 1.7], Float64, Float64, Float64, [0.7454155186565614, 1.2978879411649868], [0.7454155186565614, 1.2978879411649868], SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, 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RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x732cbe52, 0x7d56548e, 0x6553f166, 0x987d413a, 0xe9f89242), Nothing}}}}(SciMLBase.Void{ModelingToolkit.var"#f#1091"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x330de7cc, 0x307e70ae, 0x1357ac93, 0xe4f51bec, 0x95461817), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x732cbe52, 0x7d56548e, 0x6553f166, 0x987d413a, 0xe9f89242), Nothing}}}(ModelingToolkit.var"#f#1091"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x330de7cc, 0x307e70ae, 0x1357ac93, 0xe4f51bec, 0x95461817), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x732cbe52, 0x7d56548e, 0x6553f166, 0x987d413a, 0xe9f89242), Nothing}}(RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x330de7cc, 0x307e70ae, 0x1357ac93, 0xe4f51bec, 0x95461817), Nothing}(nothing), RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x732cbe52, 0x7d56548e, 0x6553f166, 0x987d413a, 0xe9f89242), Nothing}(nothing)))), SciMLBase.Void{ModelingToolkit.var"#f#1091"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x330de7cc, 0x307e70ae, 0x1357ac93, 0xe4f51bec, 0x95461817), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x732cbe52, 0x7d56548e, 0x6553f166, 0x987d413a, 0xe9f89242), Nothing}}}), FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, Float64}}(Ptr{Nothing} @0x00007a99cadc5810, Ptr{Nothing} @0x00007a9953c200b8, Base.RefValue{SciMLBase.Void{ModelingToolkit.var"#f#1091"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x330de7cc, 0x307e70ae, 0x1357ac93, 0xe4f51bec, 0x95461817), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x732cbe52, 0x7d56548e, 0x6553f166, 0x987d413a, 0xe9f89242), Nothing}}}}(SciMLBase.Void{ModelingToolkit.var"#f#1091"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x330de7cc, 0x307e70ae, 0x1357ac93, 0xe4f51bec, 0x95461817), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x732cbe52, 0x7d56548e, 0x6553f166, 0x987d413a, 0xe9f89242), Nothing}}}(ModelingToolkit.var"#f#1091"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x330de7cc, 0x307e70ae, 0x1357ac93, 0xe4f51bec, 0x95461817), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", 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ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}(nothing, OrdinaryDiffEqCore.DEFAULT_PRECS, OrdinaryDiffEqCore.trivial_limiter!, OrdinaryDiffEqCore.trivial_limiter!, ADTypes.AutoFiniteDiff()), OrdinaryDiffEqBDF.FBDF{5, 0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, Nothing, OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}(Val{5}(), nothing, OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}(1//100, 10, 1//5, 1//5, false, true, 0//1), OrdinaryDiffEqCore.DEFAULT_PRECS, nothing, nothing, :linear, :Standard, OrdinaryDiffEqCore.trivial_limiter!, ADTypes.AutoFiniteDiff()), OrdinaryDiffEqBDF.FBDF{5, 0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}}, LinearSolve.KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}, OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}(Val{5}(), LinearSolve.KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}(Krylov.gmres!, 0, 0, nothing, (), Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}()), OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Rational{Int64}}(1//100, 10, 1//5, 1//5, false, true, 0//1), OrdinaryDiffEqCore.DEFAULT_PRECS, nothing, nothing, :linear, :Standard, OrdinaryDiffEqCore.trivial_limiter!, ADTypes.AutoFiniteDiff())), false, 10, 3, 9//10, 9//10, 2, false, 5, 1), 1, [0.7446357851437497, 1.2979299693788324], OrdinaryDiffEqTsit5.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}([0.7446357851437497, 1.2979299693788324], [0.7454155186565614, 1.2978879411649868], [-0.006296881892122741, 0.0013913314881883743], [-0.0053199095226679205, 0.0006981654743305477], [-0.004209677529559919, 0.00038388171341874333], [-0.005327746295428426, -0.0012244736331823436], [-0.008814015624539984, -0.0019513542116524896], [-0.009683635418007874, -0.0020932049773481065], [-0.0013378686327403244, -0.0003782766066624532], [7.946317892544461e-6, -1.339655576683119e-6], [0.744999686985072, 1.2984185157894985], [0.010645970902168097, -0.0010313531970655525], OrdinaryDiffEqCore.trivial_limiter!, OrdinaryDiffEqCore.trivial_limiter!, static(false)), #undef, #undef, #undef, #undef, #undef), nothing, false), true, 0, SciMLBase.DEStats(75, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0.0), [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], SciMLBase.ReturnCode.Success, nothing, nothing, nothing)

plot(sols[1], xlabel="Time", ylabel="Concentration", title="Fig. 4.2 A (Time series)")

Fig. 4.2 B (Phase plot)

plot(
    sols[1], idxs=(A, B),
    xlabel="[A]", ylabel="[B]",
    aspect_ratio=:equal, legend=nothing,
    title="Fig. 4.2 B (Phase plot)",
    ylims=(0.0, 2.0), xlims=(0.0, 2.0)
)

Fig. 4.3 A (Multiple time series)

fig = plot(title="Fig. 4.3A (Multiple time series)")

for sol in sols
    plot!(fig, sol, linealpha=0.5, legend=nothing)
end

plot!(fig, xlabel="Time", ylabel="Concentration")

Fig. 4.3 B (Phase plot)

fig = plot(title="Fig. 4.3 B (Phase plot)")

for sol in sols
    plot!(fig, sol, idxs=(A, B), legend=nothing)
end

plot!(fig, xlabel="[A]", ylabel="[B]", xlims=(0.0, 2.0), ylims=(0.0, 2.0), aspect_ratio=:equal)

Let’s sketch vector fields in phase plots.

∂F44 = function (x, y; scale=20)
    da, db = prob.f([x, y], prob.p, nothing)
    s = sqrt(hypot(da, db)) * scale
    return (da / s, db / s)
end

#3 (generic function with 1 method)

Grid points

rxy = range(0.0, 2.0, 11)
xx = [x for y in rxy, x in rxy]
yy = [y for y in rxy, x in rxy];

Figure 4.4A

fig = plot(title="Fig. 4.4 A (Phase plot with vector field)")

quiver!(fig, xx, yy, quiver=∂F44, line=(:lightgrey), arrow=(:closed), aspect_ratio=:equal)

for sol in sols
    plot!(fig, sol, idxs=(A, B), linealpha=0.7, legend=nothing)
end

plot!(fig, size=(600, 600), xlims=(rxy[1], rxy[end]), ylims=(rxy[1], rxy[end]), xlabel="[A]", ylabel="[B]")

Figure 4.5A

fig = plot(title="Fig. 4.5 A (Phase plot with nullclines)")

# Phase plots
for sol in sols
    plot!(fig, sol, idxs=(A, B), linealpha=0.7, lab=nothing)
end

# nullclines
∂A44 = (x, y) -> prob.f([x, y], prob.p, nothing)[1]
∂B44 = (x, y) -> prob.f([x, y], prob.p, nothing)[2]
contour!(fig, 0:0.01:2, 0:0.01:2, ∂A44, levels=[0], cbar=false, line=(:black))
plot!(fig, Float64[], Float64[], line=(:black), label="A nullcline")  ## Adding a fake line for the legend of A nullcline
contour!(fig, 0:0.01:2, 0:0.01:2, ∂B44, levels=[0], cbar=false, line=(:black, :dash))
plot!(fig, Float64[], Float64[], line=(:black, :dash), label="B nullcline") ## Adding a fake line for the legend of B nullcline
plot!(fig, xlim=(0.0, 2.0), ylim=(0.0, 2.0), legend=:bottomright, size=(600, 600), xlabel="[A]", ylabel="[B]", aspect_ratio=:equal)

Figure 4.5 B

Vector field

fig = plot(title="Fig. 4.5 B (Vector field with nullclines)")
quiver!(fig, xx, yy, quiver=∂F44, line=(:lightgrey), arrow=(:closed), aspect_ratio=:equal)

Nullclines

contour!(fig, 0:0.01:2, 0:0.01:2, ∂A44, levels=[0], cbar=false, line=(:black))
plot!(fig, Float64[], Float64[], line=(:black), label="A nullcline")  ## Adding a fake line for the legend of A nullcline
contour!(fig, 0:0.01:2, 0:0.01:2, ∂B44, levels=[0], cbar=false, line=(:black, :dash))
plot!(fig, Float64[], Float64[], line=(:black, :dash), label="B nullcline") ## Adding a fake line for the legend of B nullcline
plot!(fig, xlim=(0.0, 2.0), ylim=(0.0, 2.0), legend=:bottomright, size=(600, 600), xlabel="[A]", ylabel="[B]")

---

This notebook was generated using Literate.jl.