Chapter 4

Steady states and phase plots in an asymmetric network.

using DifferentialEquations
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{1, 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{1, false, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}, true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqRosenbrock.Rodas5P{1, false, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}, true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 1, false, 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, 1, false, 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, false, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}, true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqRosenbrock.Rodas5P{0, false, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}, true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 0, false, 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, false, 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{1, false, 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{1, false, 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, false, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}, true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqRosenbrock.Rodas5P{0, false, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}, true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 0, false, 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, false, 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{1, 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{1, false, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}, true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqRosenbrock.Rodas5P{1, false, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}, true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 1, false, 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, 1, false, 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, false, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}, true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqRosenbrock.Rodas5P{0, false, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}, true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 0, false, 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, false, 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{1, false, 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{1, false, 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{}, 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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, false, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}, true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), 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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{1, 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{1, false, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}, true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqRosenbrock.Rodas5P{1, false, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}, true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 1, false, 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, 1, false, 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, false, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}, true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqRosenbrock.Rodas5P{0, false, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}, true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 0, false, 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, false, 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{1, false, 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!), OrdinaryDiffEqRosenbrock.Rodas5P{1, false, 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!), OrdinaryDiffEqBDF.FBDF{5, 1, false, 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!), OrdinaryDiffEqBDF.FBDF{5, 1, false, 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!)), 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, false, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}, true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqRosenbrock.Rodas5P{0, false, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}, true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 0, false, 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, false, 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, false, 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!), OrdinaryDiffEqRosenbrock.Rodas5P{0, false, 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!), OrdinaryDiffEqBDF.FBDF{5, 0, false, 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!), OrdinaryDiffEqBDF.FBDF{5, 0, false, 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!)), 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}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ModelingToolkit.MTKParameters{Vector{Float64}, Tuple{}, Tuple{}, 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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, 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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, 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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.Rodas5P{1, false, 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, false, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}, true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqRosenbrock.Rodas5P{0, false, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}, true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 0, false, 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, false, 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} @0x00007f0bc37cfdb0, Ptr{Nothing} @0x00007f0b5968a5c0, 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} @0x00007f0bbfb66010, Ptr{Nothing} @0x00007f0b591e8158, Base.RefValue{SciMLBase.Void{ModelingToolkit.var"#f#1013"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0xae6d769f, 0xa8c69776, 0xc6b3e37e, 0x6760db70, 0x6662a583), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x9a46cbde, 0xf989c3ba, 0xbf603e51, 0x5f9c8f39, 0x88983da2), Nothing}}}}(SciMLBase.Void{ModelingToolkit.var"#f#1013"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0xae6d769f, 0xa8c69776, 0xc6b3e37e, 0x6760db70, 0x6662a583), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x9a46cbde, 0xf989c3ba, 0xbf603e51, 0x5f9c8f39, 0x88983da2), Nothing}}}(ModelingToolkit.var"#f#1013"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0xae6d769f, 0xa8c69776, 0xc6b3e37e, 0x6760db70, 0x6662a583), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x9a46cbde, 0xf989c3ba, 0xbf603e51, 0x5f9c8f39, 0x88983da2), Nothing}}(RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0xae6d769f, 0xa8c69776, 0xc6b3e37e, 0x6760db70, 0x6662a583), Nothing}(nothing), RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x9a46cbde, 0xf989c3ba, 0xbf603e51, 0x5f9c8f39, 0x88983da2), Nothing}(nothing)))), SciMLBase.Void{ModelingToolkit.var"#f#1013"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0xae6d769f, 0xa8c69776, 0xc6b3e37e, 0x6760db70, 0x6662a583), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x9a46cbde, 0xf989c3ba, 0xbf603e51, 0x5f9c8f39, 0x88983da2), 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} @0x00007f0bbfb66e00, Ptr{Nothing} @0x00007f0b591e8160, Base.RefValue{SciMLBase.Void{ModelingToolkit.var"#f#1013"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0xae6d769f, 0xa8c69776, 0xc6b3e37e, 0x6760db70, 0x6662a583), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x9a46cbde, 0xf989c3ba, 0xbf603e51, 0x5f9c8f39, 0x88983da2), Nothing}}}}(SciMLBase.Void{ModelingToolkit.var"#f#1013"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0xae6d769f, 0xa8c69776, 0xc6b3e37e, 0x6760db70, 0x6662a583), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x9a46cbde, 0xf989c3ba, 0xbf603e51, 0x5f9c8f39, 0x88983da2), Nothing}}}(ModelingToolkit.var"#f#1013"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0xae6d769f, 0xa8c69776, 0xc6b3e37e, 0x6760db70, 0x6662a583), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x9a46cbde, 0xf989c3ba, 0xbf603e51, 0x5f9c8f39, 0x88983da2), Nothing}}(RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0xae6d769f, 0xa8c69776, 0xc6b3e37e, 0x6760db70, 0x6662a583), Nothing}(nothing), RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x9a46cbde, 0xf989c3ba, 0xbf603e51, 0x5f9c8f39, 0x88983da2), Nothing}(nothing)))), SciMLBase.Void{ModelingToolkit.var"#f#1013"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0xae6d769f, 0xa8c69776, 0xc6b3e37e, 0x6760db70, 0x6662a583), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x9a46cbde, 0xf989c3ba, 0xbf603e51, 0x5f9c8f39, 0x88983da2), 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} @0x00007f0bbfb67300, Ptr{Nothing} @0x00007f0b591e8168, 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1.5362771608208954], [-3.640183894381238, 1.3371443277123856], [-3.495881732400605, 1.1634092141914478], [-3.0975962978983143, 0.6481629673668876], [-3.1523922859253517, 0.5904796591762063], [-3.162465079772187, 0.5769504840093518], [-2.8285589980128725, 0.5781570166293513]], [[-2.8285589980128725, 0.5781570166293513], [-2.628005855615344, 0.45037474105599706], [-2.420156323656383, 0.3510202180524189], [-1.844525777623737, 0.040577852455261576], [-1.8370852652000709, -0.015335575819722225], [-1.8341411464596735, -0.027981677293442253], [-1.654881897867944, 0.03979441997367572]], [[-1.654881897867944, 0.03979441997367572], [-1.468629159433985, -0.01873390898641447], [-1.3005062595843322, -0.055960583264113906], [-0.8262481349268196, -0.1889173105271187], [-0.7951211637352396, -0.23075477347897322], [-0.7877756058221479, -0.24004473111589308], [-0.7276347042052134, -0.15639037370021325]], [[-0.7276347042052134, -0.15639037370021325], [-0.6011485616212582, -0.1689554209188897], [-0.49961964452710106, -0.1696307957454155], [-0.20074118910067806, -0.19535358799750813], [-0.16271349148045822, -0.22259940563463254], [-0.15437302030909006, -0.22863918019470963], [-0.1776940080278866, -0.15627565891832695]], [[-0.1776940080278866, -0.15627565891832695], [-0.11259628590235149, -0.14704651351624953], [-0.07048642839278063, -0.1337363788172221], [0.07734617842506086, -0.11690042661396971], [0.11965919810488579, -0.13427972337165084], [0.12882681531260776, -0.1382675072506805], [0.04672960727235331, -0.08514439806984675]], [[0.04672960727235331, -0.08514439806984675], [0.06486642046403368, -0.0710360171840132], [0.0671281964235213, -0.058429891562285174], [0.12706727462092537, -0.037804264160283596], [0.17847226899181745, -0.04749610633262602], [0.1900610683024846, -0.049988710256591906], [0.06461159035087682, -0.021058006246904126]], [[0.06461159035087682, -0.021058006246904126], [0.058960992501874365, -0.0145033778217869], [0.05090692010499431, -0.010312084869053217], [0.051355908171439424, 0.002794624452523431], [0.07026142386857881, 0.005495549631781893], [0.07476801219510776, 0.0059931725257242885], [0.025576420633111496, 0.0009095352425882997]], [[0.025576420633111496, 0.0009095352425882997], [0.019518591960460796, 0.0023965456134935614], [0.014915356620669229, 0.0026299138720633497], [0.007391075933340652, 0.007992187670379236], [0.01083891773211576, 0.01234758845209627], [0.01183942133686422, 0.013324709284588288], [0.002627389119301604, 0.0028944781970365874]], [[0.002627389119301604, 0.0028944781970365874], [0.0015756947923426523, 0.0027108874764978363], [0.000887534526523126, 0.0024723967060202856], [-0.001479491874915695, 0.0020618527958438104], [-0.002142284841393227, 0.0022765508296354042], [-0.0022869396615741167, 0.0023252879438309115], [-0.0010183186402459299, 0.0015973476160944244]]], [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{1, false, 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{1, false, 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, false, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}, true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqRosenbrock.Rodas5P{0, false, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}, true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 0, false, 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, false, LinearSolve.KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, Base.Pairs{Symbol, Union{}, 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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{1, false, 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{1, false, 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, false, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}, true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqRosenbrock.Rodas5P{0, false, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}, true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 0, false, 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, false, 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], [0.9112891183893627, 0.7099361469945396], [1.1662502870484652, 0.820817046182183], [1.32733580096372, 0.9696207480902008], [1.3137086140507839, 1.116169486424659], [1.177003756115953, 1.231170748112567], [1.0072519483270646, 1.299300695022761], [0.8651070200517831, 1.325852664929561], [0.7774338819907776, 1.3254392523947827], [0.7387740098210441, 1.3144862502216879], [0.7319288233481583, 1.3039210380906394], [0.7382472269875757, 1.2982648171730753], [0.7434185136928538, 1.2972680400936099], [0.7448241558409309, 1.297599431550309], [0.7448192672926613, 1.2977730219607653]], 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, 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[-1.5112523489375693, 2.161490105064847], [-1.5603149214374232, 2.156456253458027], [-1.359286482882129, 2.046569795978273]], [[-1.359286482882129, 2.046569795978273], [-1.644510290631593, 1.8972901007213019], [-1.817258977092421, 1.747600261613666], [-2.307359594812011, 1.3127719512852902], [-2.446795725862505, 1.2887993164678178], [-2.4769289907354937, 1.2824143983884144], [-2.1739969621274744, 1.1981537716690704]], [[-2.1739969621274744, 1.1981537716690704], [-2.186691398823114, 1.0615675290181161], [-2.1415088435534946, 0.9388405254644296], [-2.03394719387443, 0.5788705469507915], [-2.0986173833847186, 0.5446191161826492], [-2.1117584417407054, 0.5364619692912034], [-1.8559037487884114, 0.5180004215403242]], [[-1.8559037487884114, 0.5180004215403242], [-1.751240394657076, 0.4225866841958217], [-1.6302522566186504, 0.34586495731864053], [-1.3127275603157544, 0.11235418363947347], [-1.331625614111954, 0.07653202420961391], [-1.3350113108846866, 0.06840923935681875], [-1.1659657021047893, 0.10095071545576073]], [[-1.1659657021047893, 0.10095071545576073], [-1.0470617596826566, 0.053031783326385806], [-0.9349986667405501, 0.02042906039296377], [-0.6314454183298741, -0.0897617293036892], [-0.6239669802417565, -0.11895085223904678], [-0.6220496853804471, -0.12542909237065025], [-0.5476439069438639, -0.07232849799235819]], [[-0.5476439069438639, -0.07232849799235819], [-0.4590077826287464, -0.08633796356055035], [-0.3859928050105932, -0.09094158991248902], [-0.17963060189460833, -0.1217612139684805], [-0.1603020370903483, -0.14287108222378753], [-0.15614522224123029, -0.14755000260028717], [-0.15328871206446326, -0.09488323146635058]], [[-0.15328871206446326, -0.09488323146635058], [-0.10544487250097845, -0.09116728984090039], [-0.07342465763843897, -0.08377867022012442], [0.033240831655605874, -0.07903253714922309], [0.05984903834517308, -0.09317074768360123], [0.06554234289712912, -0.09640442671054372], [0.016942506492065412, -0.05574754375687996]], [[0.016942506492065412, -0.05574754375687996], [0.03174907438607377, -0.047106536381517516], [0.0352429871832296, -0.038980001448115864], [0.08056307033697951, -0.02798068340598059], [0.11516087718169032, -0.03633485189904384], [0.12290955207837051, -0.038435067103415266], [0.03940711471872316, -0.014829631890225237]], [[0.03940711471872316, -0.014829631890225237], [0.03635465924516623, -0.010150517232272227], [0.031029805689321677, -0.007206486458169792], [0.03727487978721733, 0.0014936889824446187], [0.054978830191593886, 0.002871803737002132], [0.0592088562121571, 0.003068220532276289], [0.01504948804900419, 0.0004968269176581774]], [[0.01504948804900419, 0.0004968269176581774], [0.01132456739548715, 0.0014213970010266141], [0.00853604642444683, 0.0015324266011127463], [0.004474648236850953, 0.005116349820019295], [0.007044413059517751, 0.008095777231544421], [0.007787664139077499, 0.008765053063709338], [0.001270230774004233, 0.0016511539303165623]], [[0.001270230774004233, 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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{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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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{1, false, 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{1, false, 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, false, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}, true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqRosenbrock.Rodas5P{0, false, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}, true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 0, false, 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, false, 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} @0x00007f0bc37cfdb0, Ptr{Nothing} @0x00007f0b5986caf0, 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, 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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{1, false, 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, false, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}, true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqRosenbrock.Rodas5P{0, false, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}, true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 0, false, 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, false, 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}}(([0.7448192672926613, 1.2977730219607653], [0.5, 0.6], Float64, Float64, Float64, [0.7448241558409309, 1.297599431550309], [0.7448241558409309, 1.297599431550309], 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} @0x00007f0bc37cfdb0, Ptr{Nothing} @0x00007f0b5986caf0, 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} @0x00007f0bbfb66010, Ptr{Nothing} @0x00007f0b591e8178, Base.RefValue{SciMLBase.Void{ModelingToolkit.var"#f#1013"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0xae6d769f, 0xa8c69776, 0xc6b3e37e, 0x6760db70, 0x6662a583), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x9a46cbde, 0xf989c3ba, 0xbf603e51, 0x5f9c8f39, 0x88983da2), Nothing}}}}(SciMLBase.Void{ModelingToolkit.var"#f#1013"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0xae6d769f, 0xa8c69776, 0xc6b3e37e, 0x6760db70, 0x6662a583), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x9a46cbde, 0xf989c3ba, 0xbf603e51, 0x5f9c8f39, 0x88983da2), Nothing}}}(ModelingToolkit.var"#f#1013"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0xae6d769f, 0xa8c69776, 0xc6b3e37e, 0x6760db70, 0x6662a583), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x9a46cbde, 0xf989c3ba, 0xbf603e51, 0x5f9c8f39, 0x88983da2), Nothing}}(RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0xae6d769f, 0xa8c69776, 0xc6b3e37e, 0x6760db70, 0x6662a583), Nothing}(nothing), RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x9a46cbde, 0xf989c3ba, 0xbf603e51, 0x5f9c8f39, 0x88983da2), Nothing}(nothing)))), SciMLBase.Void{ModelingToolkit.var"#f#1013"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0xae6d769f, 0xa8c69776, 0xc6b3e37e, 0x6760db70, 0x6662a583), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x9a46cbde, 0xf989c3ba, 0xbf603e51, 0x5f9c8f39, 0x88983da2), 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} @0x00007f0bbfb66e00, Ptr{Nothing} @0x00007f0b591e8180, Base.RefValue{SciMLBase.Void{ModelingToolkit.var"#f#1013"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0xae6d769f, 0xa8c69776, 0xc6b3e37e, 0x6760db70, 0x6662a583), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x9a46cbde, 0xf989c3ba, 0xbf603e51, 0x5f9c8f39, 0x88983da2), Nothing}}}}(SciMLBase.Void{ModelingToolkit.var"#f#1013"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0xae6d769f, 0xa8c69776, 0xc6b3e37e, 0x6760db70, 0x6662a583), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x9a46cbde, 0xf989c3ba, 0xbf603e51, 0x5f9c8f39, 0x88983da2), Nothing}}}(ModelingToolkit.var"#f#1013"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0xae6d769f, 0xa8c69776, 0xc6b3e37e, 0x6760db70, 0x6662a583), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x9a46cbde, 0xf989c3ba, 0xbf603e51, 0x5f9c8f39, 0x88983da2), Nothing}}(RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0xae6d769f, 0xa8c69776, 0xc6b3e37e, 0x6760db70, 0x6662a583), Nothing}(nothing), RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x9a46cbde, 0xf989c3ba, 0xbf603e51, 0x5f9c8f39, 0x88983da2), Nothing}(nothing)))), SciMLBase.Void{ModelingToolkit.var"#f#1013"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0xae6d769f, 0xa8c69776, 0xc6b3e37e, 0x6760db70, 0x6662a583), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x9a46cbde, 0xf989c3ba, 0xbf603e51, 0x5f9c8f39, 0x88983da2), 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} @0x00007f0bbfb67300, Ptr{Nothing} @0x00007f0b591e8188, 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true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 1, false, 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, false, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}, true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), 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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}}}, 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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{1, false, 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{1, false, 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, false, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}, true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqRosenbrock.Rodas5P{0, false, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}, true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 0, false, 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, false, 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}}(([0.7446380829569477, 1.2977939727687382], [0.17, 1.1], Float64, Float64, Float64, [0.74454077730812, 1.2977508251714798], [0.74454077730812, 1.2977508251714798], 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} @0x00007f0bc37cfdb0, Ptr{Nothing} @0x00007f0b5986e5f0, 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} @0x00007f0bbfb66010, Ptr{Nothing} @0x00007f0b591e8198, 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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.Rodas5P{1, false, 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, false, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}, true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqRosenbrock.Rodas5P{0, false, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}, true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 0, false, 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, false, 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], [0.24906437874191337, 1.7291187820930702], [0.2718934479386221, 1.6029764578762618], [0.32996059275943973, 1.4772753920375903], [0.41393689610754, 1.3859518048561046], [0.5187824762545363, 1.322490163295116], [0.6178591704273437, 1.2900061605916737], [0.6936372108646386, 1.2802541807188996], [0.7363969023653717, 1.283567723387951], [0.7515325790390958, 1.2907522454250777], [0.7509643225076897, 1.2961456343628972], [0.7463850136850437, 1.2981291656103358], [0.7446257510631688, 1.2980888442940703], [0.7444523952038502, 1.2978871285946587]], nothing, nothing, [0.0, 0.047980860958021766, 0.0930311058787659, 0.15333550674988666, 0.21859265455651666, 0.2959391551630511, 0.3820708334184065, 0.4803106824712353, 0.5912770670389147, 0.719915343872266, 0.874380816797386, 1.0767431477708551, 1.2794240046703582, 1.5], [[[0.25, 1.9]], [[-0.32469658853628447, -4.0], [-0.21784077424600334, -3.8505181371566986], [-0.12040490057417275, -3.7049847256535036], [0.23050878880636594, -3.224763078821263], [0.28875786299826345, -3.1605114494324735], [0.30280755797012615, -3.144666708799109], [0.2687809881359349, -3.1474651529815243]], [[0.2687809881359349, -3.1474651529815243], [0.353409548084036, -3.029421936695087], [0.42925629863493775, -2.91407493925848], [0.7004252646267268, -2.533251829673545], [0.7455932463022661, -2.4825874000374943], [0.7564173753347023, -2.470075269569806], [0.7274585687949626, -2.471095393504064]], [[0.7274585687949626, -2.471095393504064], [0.8189212097785117, -2.337010159193325], [0.8918828607149107, -2.208623398135754], [1.1630351044033285, -1.7933207098843023], [1.220542391094571, -1.7400216131981314], [1.2338606213850327, -1.7269250006989494], [1.1609199218856454, -1.726455774669072]], [[1.1609199218856454, -1.726455774669072], [1.2195852176576647, -1.6113674130505775], [1.256557243357249, -1.5027340834310428], [1.401223775633044, -1.1569737776248785], [1.4457012650986254, -1.1139742477501993], [1.4555886925038433, -1.103458850312221], [1.3670955860880887, -1.101885232065443]], [[1.3670955860880887, -1.101885232065443], [1.3829878003287894, -0.9992292246310737], [1.373681475536686, -0.9058791131342161], [1.3760012178284642, -0.6174193673784998], [1.415117418463106, -0.5827920491955736], [1.423373658237956, -0.5744722692590678], [1.295927394704452, -0.5748858639665078]], [[1.295927394704452, -0.5748858639665078], [1.2604914515272254, -0.4990838078784301], [1.2073940432295807, -0.43392722616471957], [1.07606839596769, -0.23606754639797667], [1.0996806292663717, -0.21054347480678715], [1.1043889096859472, -0.20459538495581375], [0.981036545427795, -0.2143124621036807]], [[0.981036545427795, -0.2143124621036807], [0.9135490117348279, -0.16633061679380168], [0.8404848710963444, -0.12921392703214707], [0.6530291274854383, -0.014694137398710394], [0.6646598611415495, 0.005174073773956067], [0.6669625343614589, 0.009620050270038538], [0.5697580949981251, -0.013996481865220955]], [[0.5697580949981251, -0.013996481865220955], [0.5015943017577715, 0.007611921694520962], [0.43913932910134523, 0.02079422799590569], [0.274928124820363, 0.0685816593662043], [0.27312248192122457, 0.08444719804451561], [0.27276049281182857, 0.08793279410016597], [0.22965957349068677, 0.0549551877909884]], [[0.22965957349068677, 0.0549551877909884], [0.1824258510429999, 0.058777218356361516], [0.1460190570154385, 0.05781643007803705], [0.042557343694217487, 0.06733566521502499], [0.0302748836653155, 0.07997667377377993], [0.027758231502128083, 0.08280112035632592], [0.03631164479016746, 0.04930393095280272]], [[0.03631164479016746, 0.04930393095280272], [0.015213988498687492, 0.04497931248242604], [0.0038465205665634272, 0.039454332974160344], [-0.044585196080732636, 0.034770367493316634], [-0.06459474159523992, 0.04343029755783956], [-0.06891927970415956, 0.0454753902225391], [-0.02440561076660419, 0.021200473200893244]], [[-0.02440561076660419, 0.021200473200893244], [-0.0270686421635018, 0.016156594611974384], [-0.0244640871723405, 0.012306605107907709], [-0.0466554131974366, 0.006556600204980834], [-0.07255347636764675, 0.009937581002558815], [-0.0785612172719361, 0.010901663538784856], [-0.015947454825843366, 0.0021241993184089036]], [[-0.015947454825843366, 0.0021241993184089036], [-0.013127432931894667, 0.0007368365086057871], [-0.010442426967663287, 0.0001615577189266748], [-0.009436820635023935, -0.0034310736004732334], [-0.014512943408292678, -0.005399861266561334], [-0.015801670555382508, -0.005817145385801803], [-0.0031539811742122836, -0.0011927193440139927]], [[-0.0031539811742122836, -0.0011927193440139927], [-0.0018670922974894921, -0.0012049487094023537], [-0.0011960421367280816, -0.001022576138741682], [0.0013410666900508517, -0.002007847744986968], [0.00209340591539231, -0.0032944518545883206], [0.0022149250721463787, -0.003599075113348338], [0.00045463271546974937, -0.000530852565593154]]], 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, 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} @0x00007f0bc37cfdb0, Ptr{Nothing} @0x00007f0b5986ff70, 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}, 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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}}}}, 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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}, 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{1, false, 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, false, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}, true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqRosenbrock.Rodas5P{0, false, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}, true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 0, false, 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, false, 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} @0x00007f0bc37cfdb0, Ptr{Nothing} @0x00007f0b5986ff70, 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} @0x00007f0bbfb66010, Ptr{Nothing} @0x00007f0b591e81b8, Base.RefValue{SciMLBase.Void{ModelingToolkit.var"#f#1013"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0xae6d769f, 0xa8c69776, 0xc6b3e37e, 0x6760db70, 0x6662a583), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x9a46cbde, 0xf989c3ba, 0xbf603e51, 0x5f9c8f39, 0x88983da2), Nothing}}}}(SciMLBase.Void{ModelingToolkit.var"#f#1013"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0xae6d769f, 0xa8c69776, 0xc6b3e37e, 0x6760db70, 0x6662a583), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x9a46cbde, 0xf989c3ba, 0xbf603e51, 0x5f9c8f39, 0x88983da2), Nothing}}}(ModelingToolkit.var"#f#1013"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0xae6d769f, 0xa8c69776, 0xc6b3e37e, 0x6760db70, 0x6662a583), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x9a46cbde, 0xf989c3ba, 0xbf603e51, 0x5f9c8f39, 0x88983da2), Nothing}}(RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0xae6d769f, 0xa8c69776, 0xc6b3e37e, 0x6760db70, 0x6662a583), Nothing}(nothing), RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x9a46cbde, 0xf989c3ba, 0xbf603e51, 0x5f9c8f39, 0x88983da2), Nothing}(nothing)))), SciMLBase.Void{ModelingToolkit.var"#f#1013"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0xae6d769f, 0xa8c69776, 0xc6b3e37e, 0x6760db70, 0x6662a583), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x9a46cbde, 0xf989c3ba, 0xbf603e51, 0x5f9c8f39, 0x88983da2), 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} @0x00007f0bbfb66e00, Ptr{Nothing} @0x00007f0b591e81c0, Base.RefValue{SciMLBase.Void{ModelingToolkit.var"#f#1013"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0xae6d769f, 0xa8c69776, 0xc6b3e37e, 0x6760db70, 0x6662a583), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x9a46cbde, 0xf989c3ba, 0xbf603e51, 0x5f9c8f39, 0x88983da2), Nothing}}}}(SciMLBase.Void{ModelingToolkit.var"#f#1013"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0xae6d769f, 0xa8c69776, 0xc6b3e37e, 0x6760db70, 0x6662a583), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x9a46cbde, 0xf989c3ba, 0xbf603e51, 0x5f9c8f39, 0x88983da2), 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[1.3760012178284642, -0.6174193673784998], [1.415117418463106, -0.5827920491955736], [1.423373658237956, -0.5744722692590678], [1.295927394704452, -0.5748858639665078]], [[1.295927394704452, -0.5748858639665078], [1.2604914515272254, -0.4990838078784301], [1.2073940432295807, -0.43392722616471957], [1.07606839596769, -0.23606754639797667], [1.0996806292663717, -0.21054347480678715], [1.1043889096859472, -0.20459538495581375], [0.981036545427795, -0.2143124621036807]], [[0.981036545427795, -0.2143124621036807], [0.9135490117348279, -0.16633061679380168], [0.8404848710963444, -0.12921392703214707], [0.6530291274854383, -0.014694137398710394], [0.6646598611415495, 0.005174073773956067], [0.6669625343614589, 0.009620050270038538], [0.5697580949981251, -0.013996481865220955]], [[0.5697580949981251, -0.013996481865220955], [0.5015943017577715, 0.007611921694520962], [0.43913932910134523, 0.02079422799590569], [0.274928124820363, 0.0685816593662043], [0.27312248192122457, 0.08444719804451561], [0.27276049281182857, 0.08793279410016597], [0.22965957349068677, 0.0549551877909884]], [[0.22965957349068677, 0.0549551877909884], [0.1824258510429999, 0.058777218356361516], [0.1460190570154385, 0.05781643007803705], [0.042557343694217487, 0.06733566521502499], [0.0302748836653155, 0.07997667377377993], [0.027758231502128083, 0.08280112035632592], [0.03631164479016746, 0.04930393095280272]], [[0.03631164479016746, 0.04930393095280272], [0.015213988498687492, 0.04497931248242604], [0.0038465205665634272, 0.039454332974160344], [-0.044585196080732636, 0.034770367493316634], [-0.06459474159523992, 0.04343029755783956], [-0.06891927970415956, 0.0454753902225391], [-0.02440561076660419, 0.021200473200893244]], [[-0.02440561076660419, 0.021200473200893244], [-0.0270686421635018, 0.016156594611974384], [-0.0244640871723405, 0.012306605107907709], [-0.0466554131974366, 0.006556600204980834], [-0.07255347636764675, 0.009937581002558815], [-0.0785612172719361, 0.010901663538784856], [-0.015947454825843366, 0.0021241993184089036]], [[-0.015947454825843366, 0.0021241993184089036], [-0.013127432931894667, 0.0007368365086057871], [-0.010442426967663287, 0.0001615577189266748], [-0.009436820635023935, -0.0034310736004732334], [-0.014512943408292678, -0.005399861266561334], [-0.015801670555382508, -0.005817145385801803], [-0.0031539811742122836, -0.0011927193440139927]], [[-0.0031539811742122836, -0.0011927193440139927], [-0.0018670922974894921, -0.0012049487094023537], [-0.0011960421367280816, -0.001022576138741682], [0.0013410666900508517, -0.002007847744986968], [0.00209340591539231, -0.0032944518545883206], [0.0022149250721463787, -0.003599075113348338], [0.00045463271546974937, -0.000530852565593154]]], [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{1, false, 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{1, false, 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, false, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}, true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqRosenbrock.Rodas5P{0, false, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}, true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 0, false, 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, false, 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}, 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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{1, false, 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{1, false, 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, false, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}, true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqRosenbrock.Rodas5P{0, false, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}, true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 0, false, 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, false, 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}([[1.85, 1.7], [1.389868293009751, 1.6862635011993348], [1.0373334341044362, 1.6335794726807347], [0.7738027476475637, 1.5461794522834809], [0.6412210657336557, 1.4523678657665602], [0.6131848279888259, 1.370258887334023], [0.651500452830709, 1.3177117253743567], [0.6986209269784095, 1.2967999119986962], [0.7313123540820563, 1.292257811714472], [0.7449081277922718, 1.2942855179476098], [0.7469762145162332, 1.2968258089104507], [0.7454155186565625, 1.2978879411649875], [0.7446357851437494, 1.2979299693788324]], nothing, nothing, [0.0, 0.05062401284818254, 0.10856455274994192, 0.183252858344995, 0.2687742669328747, 0.37103465893628096, 0.48934858338792164, 0.6092038206322213, 0.7427945526798356, 0.8903736317467412, 1.0632809380831227, 1.2797807567174395, 1.5], [[[1.85, 1.7]], [[-10.811442884485839, 0.20000000000000018], [-10.201925652827297, 0.0156129371671474], [-9.631897732432671, -0.13813953505840004], [-7.785074003800576, -0.6256580380107915], [-7.531016738812323, -0.7067449298256481], [-7.4692895539966795, -0.7256612042299957], [-7.5277451680432215, -0.6515809199771718]], [[-7.5277451680432215, -0.6515809199771718], [-7.007734369777692, -0.7616338363991049], [-6.531611028473021, -0.8441926733497715], [-4.994978989532428, -1.1057861131460944], [-4.778709828730961, -1.1598844576022103], [-4.726580549213262, -1.172146709261464], [-4.798683011367353, -1.0932304951948009]], [[-4.798683011367353, -1.0932304951948009], [-4.32411457848708, -1.1429075829120816], [-3.9085735724150847, -1.1641217416021215], [-2.5701559878982603, -1.244219635821884], [-2.36930595892588, -1.2874042484871884], [-2.3217990340972547, -1.2967308607607226], [-2.438348996541453, -1.1832917661222764]], [[-2.438348996541453, -1.1832917661222764], [-2.094323052934605, -1.168975354483665], [-1.806954802243577, -1.1365273346493223], [-0.8726882585597058, -1.054664888941229], [-0.7179447499962484, -1.0756483830625165], [-0.6820768194610407, -1.0798179759787756], [-0.8184536570210201, -0.9793971973654898]], [[-0.8184536570210201, -0.9793971973654898], [-0.588410970912645, -0.9257235127558916], [-0.41722218267313416, -0.8638058283800905], [0.1666718201503894, -0.703885337601259], [0.29764651499485417, -0.7165395664352092], [0.3270618268449379, -0.7190052794815718], [0.12718830603362008, -0.6249247806924627]], [[0.12718830603362008, -0.6249247806924627], [0.23155924933357586, -0.5605597480061189], [0.28667513282766954, -0.49868430640891126], [0.5368787585372559, -0.3411826909959974], [0.6488267189897927, -0.3462692882373073], [0.6736387209838979, -0.34743671354297456], [0.42086575765708467, -0.2855577212103657]], [[0.42086575765708467, -0.2855577212103657], [0.42698098579276955, -0.24176348772546308], [0.4119261535696159, -0.20492204560885496], [0.4248554969757503, -0.10331214855697168], [0.48118266116224806, -0.09610823551852521], [0.493757811638198, -0.09459556604554598], [0.33420295389999843, -0.08675770603666177]], [[0.33420295389999843, -0.08675770603666177], [0.3061485350644393, -0.06305158918219256], [0.27338019147958015, -0.04643609106560165], [0.2190862768980315, 0.005748225117248484], [0.2483560136631322, 0.016523161942834097], [0.25517529715159615, 0.018806132740163184], [0.15971498080540147, 0.0013356495917524747]], [[0.15971498080540147, 0.0013356495917524747], [0.13276925227008007, 0.00876670278200864], [0.10990281323410311, 0.011920817485692181], [0.058460463383062766, 0.030115718396834357], [0.06356993936887445, 0.0404141968628986], [0.06503271657062903, 0.0426884530462015], [0.040212148204106235, 0.01838866584649468]], [[0.040212148204106235, 0.01838866584649468], [0.026250738581116373, 0.018067998131599206], [0.017754309370069166, 0.01621065619046491], [-0.011260121271451595, 0.019872280457196023], [-0.019056149993883942, 0.027570583435777785], [-0.020591423401629783, 0.029364057980136415], [-0.004592364850738662, 0.009823384480212694]], [[-0.004592364850738662, 0.009823384480212694], [-0.007546581415971865, 0.007791194646101118], [-0.007332574350161103, 0.0060047599497725646], [-0.021830462270963302, 0.005464700014029766], [-0.03526221479484626, 0.008980816057671204], [-0.038319709003454605, 0.009898205469680121], [-0.006296881892138728, 0.0013913314881879302]], [[-0.006296881892138728, 0.0013913314881879302], [-0.005319909522679467, 0.0006981654743281052], [-0.004209677529566136, 0.0003838817134176331], [-0.005327746295466618, -0.001224473633194334], [-0.008814015624616367, -0.0019513542116711413], [-0.009683635418094028, -0.0020932049773683126], [-0.0013378686327376599, -0.00037827660666311935]]], 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, 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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{1, false, 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{}}, 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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{1, false, 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, false, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}, true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqRosenbrock.Rodas5P{0, false, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}, true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 0, false, 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, false, 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} @0x00007f0bc37cfdb0, Ptr{Nothing} @0x00007f0b55999900, 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} @0x00007f0bbfb66010, Ptr{Nothing} @0x00007f0b591e81d8, Base.RefValue{SciMLBase.Void{ModelingToolkit.var"#f#1013"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0xae6d769f, 0xa8c69776, 0xc6b3e37e, 0x6760db70, 0x6662a583), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x9a46cbde, 0xf989c3ba, 0xbf603e51, 0x5f9c8f39, 0x88983da2), Nothing}}}}(SciMLBase.Void{ModelingToolkit.var"#f#1013"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", 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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), [[1.85, 1.7], [1.389868293009751, 1.6862635011993348], [1.0373334341044362, 1.6335794726807347], [0.7738027476475637, 1.5461794522834809], [0.6412210657336557, 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[-6.531611028473021, -0.8441926733497715], [-4.994978989532428, -1.1057861131460944], [-4.778709828730961, -1.1598844576022103], [-4.726580549213262, -1.172146709261464], [-4.798683011367353, -1.0932304951948009]], [[-4.798683011367353, -1.0932304951948009], [-4.32411457848708, -1.1429075829120816], [-3.9085735724150847, -1.1641217416021215], [-2.5701559878982603, -1.244219635821884], [-2.36930595892588, -1.2874042484871884], [-2.3217990340972547, -1.2967308607607226], [-2.438348996541453, -1.1832917661222764]], [[-2.438348996541453, -1.1832917661222764], [-2.094323052934605, -1.168975354483665], [-1.806954802243577, -1.1365273346493223], [-0.8726882585597058, -1.054664888941229], [-0.7179447499962484, -1.0756483830625165], [-0.6820768194610407, -1.0798179759787756], [-0.8184536570210201, -0.9793971973654898]], [[-0.8184536570210201, -0.9793971973654898], [-0.588410970912645, -0.9257235127558916], [-0.41722218267313416, -0.8638058283800905], [0.1666718201503894, -0.703885337601259], [0.29764651499485417, -0.7165395664352092], [0.3270618268449379, -0.7190052794815718], [0.12718830603362008, -0.6249247806924627]], [[0.12718830603362008, -0.6249247806924627], [0.23155924933357586, -0.5605597480061189], [0.28667513282766954, -0.49868430640891126], [0.5368787585372559, -0.3411826909959974], [0.6488267189897927, -0.3462692882373073], [0.6736387209838979, -0.34743671354297456], [0.42086575765708467, -0.2855577212103657]], [[0.42086575765708467, -0.2855577212103657], [0.42698098579276955, -0.24176348772546308], [0.4119261535696159, -0.20492204560885496], [0.4248554969757503, -0.10331214855697168], [0.48118266116224806, -0.09610823551852521], [0.493757811638198, -0.09459556604554598], [0.33420295389999843, -0.08675770603666177]], [[0.33420295389999843, -0.08675770603666177], [0.3061485350644393, -0.06305158918219256], [0.27338019147958015, -0.04643609106560165], [0.2190862768980315, 0.005748225117248484], [0.2483560136631322, 0.016523161942834097], [0.25517529715159615, 0.018806132740163184], [0.15971498080540147, 0.0013356495917524747]], [[0.15971498080540147, 0.0013356495917524747], [0.13276925227008007, 0.00876670278200864], [0.10990281323410311, 0.011920817485692181], [0.058460463383062766, 0.030115718396834357], [0.06356993936887445, 0.0404141968628986], [0.06503271657062903, 0.0426884530462015], [0.040212148204106235, 0.01838866584649468]], [[0.040212148204106235, 0.01838866584649468], [0.026250738581116373, 0.018067998131599206], [0.017754309370069166, 0.01621065619046491], [-0.011260121271451595, 0.019872280457196023], [-0.019056149993883942, 0.027570583435777785], [-0.020591423401629783, 0.029364057980136415], [-0.004592364850738662, 0.009823384480212694]], [[-0.004592364850738662, 0.009823384480212694], [-0.007546581415971865, 0.007791194646101118], [-0.007332574350161103, 0.0060047599497725646], [-0.021830462270963302, 0.005464700014029766], [-0.03526221479484626, 0.008980816057671204], [-0.038319709003454605, 0.009898205469680121], [-0.006296881892138728, 0.0013913314881879302]], [[-0.006296881892138728, 0.0013913314881879302], [-0.005319909522679467, 0.0006981654743281052], [-0.004209677529566136, 0.0003838817134176331], [-0.005327746295466618, -0.001224473633194334], [-0.008814015624616367, -0.0019513542116711413], [-0.009683635418094028, -0.0020932049773683126], [-0.0013378686327376599, -0.00037827660666311935]]], [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{1, false, 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{1, false, 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{}}, 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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.