Country and pathogen data

Daedalus.jl bundles demographic, economic, and epidemiological data that mirrors the R package {daedalus.data}. All data access is provided through the DataLoader sub-module, which lazy-loads CSV files on first access and caches results for subsequent calls.

Listing available data

using Daedalus

# All countries with bundled demographic + economic data
countries = Daedalus.DataLoader.list_countries()
println("$(length(countries)) countries available")
println("First five: ", countries[1:5])

68 countries available
First five: ["Argentina", "Australia", "Austria", "Belgium", "Brazil"]

# All seven reference pathogens
Daedalus.DataLoader.list_pathogens()

7-element Vector{String}:
 "sars-cov-1"
 "influenza 2009"
 "sars-cov-2 pre-alpha"
 "influenza 1918"
 "sars-cov-2 omicron"
 "influenza 1957"
 "sars-cov-2 delta"

# Pandemic response (economic closure) strategies
Daedalus.DataLoader.list_closure_strategies()

4-element Vector{String}:
 "none"
 "school_closures"
 "economic_closures"
 "elimination"

# Pre-pandemic vaccine investment scenarios
Daedalus.DataLoader.list_vaccination_scenarios()

4-element Vector{String}:
 "medium"
 "none"
 "high"
 "low"

Country data

DataLoader.get_country returns a DataLoader.CountryData struct containing demography, a 4×4 social contact matrix, sector workforce counts, gross value added (GVA) per sector, and hospital capacity.

using Daedalus

uk = Daedalus.DataLoader.get_country("United Kingdom")

println("Demography (4 age groups): ", uk.demography)
println("Hospital capacity (spare beds): ", uk.hospital_capacity)
println("Number of economic sectors: ", length(uk.workers))

Demography (4 age groups): [3.92449e6, 1.1762039e7, 3.9536463e7, 1.2663012e7]
Hospital capacity (spare beds): 26219.0
Number of economic sectors: 45

# 4×4 social contact matrix
uk.contact_matrix

4×4 Matrix{Float64}:
 1.91579   1.53793  4.705    0.286362
 0.513141  8.73392  5.87459  0.741848
 0.46703   1.74768  7.83018  1.06858
 0.118052  0.75483  3.53149  1.52124

Pathogen data

DataLoader.get_pathogen returns an DataLoader.InfectionData struct with all epidemiological parameters derived from the seven reference pathogens.

using Daedalus

delta = Daedalus.DataLoader.get_pathogen("sars-cov-2 delta")

delta

Daedalus.DataLoader.InfectionData(3.0, 0.25, 0.595, 0.58, 0.25, 0.47619047619047616, 0.13157894736842105, 0.13157894736842105, 0.0027397260273972603, [1.2436974789915967e-5, 0.00021557422969187677, 0.03934920634920635, 0.12320378151260505], [1.0, 0.1875, 0.08061018437225638, 0.2884858044164038], [2.96e-5, 9.620000000000001e-5, 0.007549233333333334, 0.08459125])

Preparing country inputs for the model

Pass a country name string and a pathogen name to daedalus to run the model with country-specific demography, contacts, and workforce data:

using Daedalus

result = daedalus("United Kingdom", "sars-cov-2 delta", time_end=600.0)

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Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, 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, Nothing, Nothing, Nothing, Matrix{Float64}, Vector{Float64}}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, LinearSolve.LinearVerbosity{SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.WarnLevel, SciMLLogging.WarnLevel, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent}, Bool, LinearSolve.LinearSolveAdjoint{Missing}}, Tuple{DifferentiationInterfaceFiniteDiffExt.FiniteDiffTwoArgJacobianPrep{Nothing, FiniteDiff.JacobianCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, UnitRange{Int64}, Nothing, Val{:forward}(), Float64}, Float64, Float64, Int64}, DifferentiationInterfaceFiniteDiffExt.FiniteDiffTwoArgJacobianPrep{Nothing, FiniteDiff.JacobianCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, UnitRange{Int64}, Nothing, Val{:forward}(), Float64}, Float64, Float64, Int64}}, Tuple{DifferentiationInterfaceFiniteDiffExt.FiniteDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, FunctionWrappersWrappers.AllowNonIsBits, FunctionWrappersWrappers.SingleCacheStorage}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Daedalus.DaedalusStructs.Params}, Vector{Float64}, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}, Nothing, Nothing, Int64}, Float64, Tuple{}}, FiniteDiff.GradientCache{Nothing, Vector{Float64}, Vector{Float64}, Float64, Val{:forward}(), Float64, Val{true}()}, Float64, Float64, Int64}, DifferentiationInterfaceFiniteDiffExt.FiniteDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, FunctionWrappersWrappers.AllowNonIsBits, FunctionWrappersWrappers.SingleCacheStorage}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Daedalus.DaedalusStructs.Params}, Vector{Float64}, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}, Nothing, Nothing, Int64}, Float64, Tuple{}}, FiniteDiff.GradientCache{Nothing, Vector{Float64}, Vector{Float64}, Float64, Val{:forward}(), Float64, Val{true}()}, Float64, Float64, Int64}}, Float64, OrdinaryDiffEqRosenbrock.Rodas5P{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}, Nothing, Nothing, Int64}, 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!), OrdinaryDiffEqRosenbrock.JacReuseState{Float64}}, OrdinaryDiffEqBDF.FBDFCache{5, OrdinaryDiffEqNonlinearSolve.NLSolver{OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Float64, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, SciMLBase.UJacobianWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, FunctionWrappersWrappers.AllowNonIsBits, FunctionWrappersWrappers.SingleCacheStorage}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Float64, Daedalus.DaedalusStructs.Params}, Tuple{DifferentiationInterfaceFiniteDiffExt.FiniteDiffTwoArgJacobianPrep{Nothing, FiniteDiff.JacobianCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, UnitRange{Int64}, Nothing, Val{:forward}(), Float64}, Float64, Float64, Int64}, DifferentiationInterfaceFiniteDiffExt.FiniteDiffTwoArgJacobianPrep{Nothing, FiniteDiff.JacobianCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, UnitRange{Int64}, Nothing, Val{:forward}(), Float64}, Float64, Float64, Int64}}, 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, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, 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, Nothing, Nothing, Nothing, Matrix{Float64}, Vector{Float64}}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, LinearSolve.LinearVerbosity{SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.WarnLevel, SciMLLogging.WarnLevel, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent}, Bool, LinearSolve.LinearSolveAdjoint{Missing}}, Nothing}, Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Vector{Vector{Float64}}, Matrix{Rational{Int64}}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), Matrix{Float64}, OrdinaryDiffEqBDF.StabilityLimitDetectionState{Float64}}, Union{OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Vector{Vector{Float64}}, Matrix{Rational{Int64}}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), Matrix{Float64}, OrdinaryDiffEqBDF.StabilityLimitDetectionState{Float64}} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Float64, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, SciMLOperators.WOperator{true, Float64, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, SciMLBase.UJacobianWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, FunctionWrappersWrappers.AllowNonIsBits, FunctionWrappersWrappers.SingleCacheStorage}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Float64, Daedalus.DaedalusStructs.Params}, Tuple{Nothing, Nothing}, _A, Nothing}, Float64} where _A), OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Vector{Vector{Float64}}, Matrix{Rational{Int64}}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), Matrix{Float64}, OrdinaryDiffEqBDF.StabilityLimitDetectionState{Float64}} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Float64, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, SciMLOperators.WOperator{true, Float64, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, SciMLOperators.AddedOperator{Float64, Tuple{SciMLOperators.ScaledOperator{Float64, SciMLOperators.ScalarOperator{Float64, SciMLOperators.FilterKwargs{typeof(SciMLOperators.DEFAULT_UPDATE_FUNC), Val{()}}}, SciMLOperators.IdentityOperator}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, SciMLBase.UJacobianWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, FunctionWrappersWrappers.AllowNonIsBits, FunctionWrappersWrappers.SingleCacheStorage}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Float64, Daedalus.DaedalusStructs.Params}, Tuple{Nothing, Nothing}, _A, Nothing}, Float64} where _A)}, 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}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, FunctionWrappersWrappers.AllowNonIsBits, FunctionWrappersWrappers.SingleCacheStorage}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Float64, Float64, Float64, Daedalus.DaedalusStructs.Params, Bool, Val{true}, DiffEqBase.DEVerbosity{SciMLLogging.Minimal, SciMLLogging.Minimal, SciMLLogging.WarnLevel, SciMLLogging.WarnLevel, SciMLLogging.WarnLevel, SciMLLogging.WarnLevel, SciMLLogging.WarnLevel, SciMLLogging.WarnLevel, SciMLLogging.WarnLevel, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.WarnLevel, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.WarnLevel, SciMLLogging.Silent, SciMLLogging.WarnLevel, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent}}, 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, Val{true}}}, Tuple{OrdinaryDiffEqRosenbrock.Rosenbrock23{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}, Nothing, Nothing, Int64}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqRosenbrock.Rodas5P{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}, Nothing, Nothing, Int64}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}, Nothing, Nothing, Int64}, Nothing, OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}, Nothing, Nothing, Int64}, LinearSolve.KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, Base.Pairs{Symbol, Union{}, Nothing, @NamedTuple{}}}, OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, 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}([[3.92448607551e6, 1.1762027237961e7, 6.905930094063e6, 1.2662999336988e7, 390745.609254, 16797.983202, 16595.983404, 22630.977369, 24642.975357, 433189.56681  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0], [3.924483881810374e6, 1.1762018864870284e7, 6.905923721805834e6, 1.266299404133625e7, 390745.2487042297, 16797.967702122736, 16595.9680905125, 22630.956486887706, 24642.952618371866, 433189.1670962346  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0], 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Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, FunctionWrappersWrappers.AllowNonIsBits, FunctionWrappersWrappers.SingleCacheStorage}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Daedalus.DaedalusStructs.Params}, SciMLBase.UJacobianWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, FunctionWrappersWrappers.AllowNonIsBits, FunctionWrappersWrappers.SingleCacheStorage}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Float64, Daedalus.DaedalusStructs.Params}, 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, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, 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, Nothing, Nothing, Nothing, Matrix{Float64}, Vector{Float64}}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, LinearSolve.LinearVerbosity{SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.WarnLevel, SciMLLogging.WarnLevel, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent}, Bool, LinearSolve.LinearSolveAdjoint{Missing}}, Tuple{DifferentiationInterfaceFiniteDiffExt.FiniteDiffTwoArgJacobianPrep{Nothing, FiniteDiff.JacobianCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, UnitRange{Int64}, Nothing, Val{:forward}(), Float64}, Float64, Float64, Int64}, DifferentiationInterfaceFiniteDiffExt.FiniteDiffTwoArgJacobianPrep{Nothing, FiniteDiff.JacobianCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, UnitRange{Int64}, Nothing, Val{:forward}(), Float64}, Float64, Float64, Int64}}, Tuple{DifferentiationInterfaceFiniteDiffExt.FiniteDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, FunctionWrappersWrappers.AllowNonIsBits, FunctionWrappersWrappers.SingleCacheStorage}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Daedalus.DaedalusStructs.Params}, Vector{Float64}, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}, Nothing, Nothing, Int64}, Float64, Tuple{}}, FiniteDiff.GradientCache{Nothing, Vector{Float64}, Vector{Float64}, Float64, Val{:forward}(), Float64, Val{true}()}, Float64, Float64, Int64}, DifferentiationInterfaceFiniteDiffExt.FiniteDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, FunctionWrappersWrappers.AllowNonIsBits, FunctionWrappersWrappers.SingleCacheStorage}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Daedalus.DaedalusStructs.Params}, Vector{Float64}, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}, Nothing, Nothing, Int64}, Float64, Tuple{}}, FiniteDiff.GradientCache{Nothing, Vector{Float64}, Vector{Float64}, Float64, Val{:forward}(), Float64, Val{true}()}, Float64, Float64, Int64}}, Float64, OrdinaryDiffEqRosenbrock.Rodas5P{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}, Nothing, Nothing, Int64}, 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!), OrdinaryDiffEqRosenbrock.JacReuseState{Float64}}, OrdinaryDiffEqBDF.FBDFCache{5, OrdinaryDiffEqNonlinearSolve.NLSolver{OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Float64, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, SciMLBase.UJacobianWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, FunctionWrappersWrappers.AllowNonIsBits, FunctionWrappersWrappers.SingleCacheStorage}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Float64, Daedalus.DaedalusStructs.Params}, Tuple{DifferentiationInterfaceFiniteDiffExt.FiniteDiffTwoArgJacobianPrep{Nothing, FiniteDiff.JacobianCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, UnitRange{Int64}, Nothing, Val{:forward}(), Float64}, Float64, Float64, Int64}, DifferentiationInterfaceFiniteDiffExt.FiniteDiffTwoArgJacobianPrep{Nothing, FiniteDiff.JacobianCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, UnitRange{Int64}, Nothing, Val{:forward}(), Float64}, Float64, Float64, Int64}}, 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, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, 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, Nothing, Nothing, Nothing, Matrix{Float64}, Vector{Float64}}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, LinearSolve.LinearVerbosity{SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.WarnLevel, SciMLLogging.WarnLevel, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent}, Bool, LinearSolve.LinearSolveAdjoint{Missing}}, Nothing}, Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Vector{Vector{Float64}}, Matrix{Rational{Int64}}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), Matrix{Float64}, OrdinaryDiffEqBDF.StabilityLimitDetectionState{Float64}}, Union{OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Vector{Vector{Float64}}, Matrix{Rational{Int64}}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), Matrix{Float64}, OrdinaryDiffEqBDF.StabilityLimitDetectionState{Float64}} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Float64, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, SciMLOperators.WOperator{true, Float64, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, SciMLBase.UJacobianWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, FunctionWrappersWrappers.AllowNonIsBits, FunctionWrappersWrappers.SingleCacheStorage}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Float64, Daedalus.DaedalusStructs.Params}, Tuple{Nothing, Nothing}, _A, Nothing}, Float64} where _A), OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Vector{Vector{Float64}}, Matrix{Rational{Int64}}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), Matrix{Float64}, OrdinaryDiffEqBDF.StabilityLimitDetectionState{Float64}} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Float64, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, SciMLOperators.WOperator{true, Float64, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, SciMLOperators.AddedOperator{Float64, Tuple{SciMLOperators.ScaledOperator{Float64, SciMLOperators.ScalarOperator{Float64, SciMLOperators.FilterKwargs{typeof(SciMLOperators.DEFAULT_UPDATE_FUNC), Val{()}}}, SciMLOperators.IdentityOperator}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, SciMLBase.UJacobianWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, FunctionWrappersWrappers.AllowNonIsBits, FunctionWrappersWrappers.SingleCacheStorage}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Float64, Daedalus.DaedalusStructs.Params}, Tuple{Nothing, Nothing}, _A, Nothing}, Float64} where _A)}, 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}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, FunctionWrappersWrappers.AllowNonIsBits, FunctionWrappersWrappers.SingleCacheStorage}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Float64, Float64, Float64, Daedalus.DaedalusStructs.Params, Bool, Val{true}, DiffEqBase.DEVerbosity{SciMLLogging.Minimal, SciMLLogging.Minimal, SciMLLogging.WarnLevel, SciMLLogging.WarnLevel, SciMLLogging.WarnLevel, SciMLLogging.WarnLevel, SciMLLogging.WarnLevel, SciMLLogging.WarnLevel, SciMLLogging.WarnLevel, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.WarnLevel, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.WarnLevel, SciMLLogging.Silent, SciMLLogging.WarnLevel, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent}}, 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, Val{true}}}, Tuple{OrdinaryDiffEqRosenbrock.Rosenbrock23{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}, Nothing, Nothing, Int64}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqRosenbrock.Rodas5P{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}, Nothing, Nothing, Int64}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}, Nothing, Nothing, Int64}, Nothing, OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}, Nothing, Nothing, Int64}, LinearSolve.KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, Base.Pairs{Symbol, Union{}, Nothing, @NamedTuple{}}}, OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, 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}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, FunctionWrappersWrappers.AllowNonIsBits, FunctionWrappersWrappers.SingleCacheStorage}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}(FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, 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ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}, Nothing, Nothing, Int64}, Float64, Tuple{}}, FiniteDiff.GradientCache{Nothing, Vector{Float64}, Vector{Float64}, Float64, Val{:forward}(), Float64, Val{true}()}, Float64, Float64, Int64}}, Float64, OrdinaryDiffEqRosenbrock.Rosenbrock23{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}, Nothing, Nothing, Int64}, 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.JacReuseState{Float64}}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64, Vector{Float64}}, SciMLBase.TimeGradientWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, FunctionWrappersWrappers.AllowNonIsBits, FunctionWrappersWrappers.SingleCacheStorage}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Daedalus.DaedalusStructs.Params}, SciMLBase.UJacobianWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, FunctionWrappersWrappers.AllowNonIsBits, FunctionWrappersWrappers.SingleCacheStorage}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Float64, Daedalus.DaedalusStructs.Params}, 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, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, 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, Nothing, Nothing, Nothing, Matrix{Float64}, Vector{Float64}}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, LinearSolve.LinearVerbosity{SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.WarnLevel, SciMLLogging.WarnLevel, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent}, Bool, LinearSolve.LinearSolveAdjoint{Missing}}, Tuple{DifferentiationInterfaceFiniteDiffExt.FiniteDiffTwoArgJacobianPrep{Nothing, FiniteDiff.JacobianCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, UnitRange{Int64}, Nothing, Val{:forward}(), Float64}, Float64, Float64, Int64}, DifferentiationInterfaceFiniteDiffExt.FiniteDiffTwoArgJacobianPrep{Nothing, FiniteDiff.JacobianCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, UnitRange{Int64}, Nothing, Val{:forward}(), Float64}, Float64, Float64, Int64}}, Tuple{DifferentiationInterfaceFiniteDiffExt.FiniteDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, FunctionWrappersWrappers.AllowNonIsBits, FunctionWrappersWrappers.SingleCacheStorage}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Daedalus.DaedalusStructs.Params}, Vector{Float64}, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}, Nothing, Nothing, Int64}, Float64, Tuple{}}, FiniteDiff.GradientCache{Nothing, Vector{Float64}, Vector{Float64}, Float64, Val{:forward}(), Float64, Val{true}()}, Float64, Float64, Int64}, DifferentiationInterfaceFiniteDiffExt.FiniteDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, FunctionWrappersWrappers.AllowNonIsBits, FunctionWrappersWrappers.SingleCacheStorage}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Daedalus.DaedalusStructs.Params}, Vector{Float64}, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}, Nothing, Nothing, Int64}, Float64, Tuple{}}, FiniteDiff.GradientCache{Nothing, Vector{Float64}, Vector{Float64}, Float64, Val{:forward}(), Float64, Val{true}()}, Float64, Float64, Int64}}, Float64, OrdinaryDiffEqRosenbrock.Rodas5P{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}, Nothing, Nothing, Int64}, 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!), OrdinaryDiffEqRosenbrock.JacReuseState{Float64}}, OrdinaryDiffEqBDF.FBDFCache{5, OrdinaryDiffEqNonlinearSolve.NLSolver{OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Float64, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, SciMLBase.UJacobianWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, FunctionWrappersWrappers.AllowNonIsBits, FunctionWrappersWrappers.SingleCacheStorage}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Float64, Daedalus.DaedalusStructs.Params}, Tuple{DifferentiationInterfaceFiniteDiffExt.FiniteDiffTwoArgJacobianPrep{Nothing, FiniteDiff.JacobianCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, UnitRange{Int64}, Nothing, Val{:forward}(), Float64}, Float64, Float64, Int64}, DifferentiationInterfaceFiniteDiffExt.FiniteDiffTwoArgJacobianPrep{Nothing, FiniteDiff.JacobianCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, UnitRange{Int64}, Nothing, Val{:forward}(), Float64}, Float64, Float64, Int64}}, 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, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, 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, Nothing, Nothing, Nothing, Matrix{Float64}, Vector{Float64}}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, LinearSolve.LinearVerbosity{SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.WarnLevel, SciMLLogging.WarnLevel, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent}, Bool, LinearSolve.LinearSolveAdjoint{Missing}}, Nothing}, Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Vector{Vector{Float64}}, Matrix{Rational{Int64}}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), Matrix{Float64}, OrdinaryDiffEqBDF.StabilityLimitDetectionState{Float64}}, Union{OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Vector{Vector{Float64}}, Matrix{Rational{Int64}}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), Matrix{Float64}, OrdinaryDiffEqBDF.StabilityLimitDetectionState{Float64}} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Float64, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, SciMLOperators.WOperator{true, Float64, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, SciMLBase.UJacobianWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, FunctionWrappersWrappers.AllowNonIsBits, FunctionWrappersWrappers.SingleCacheStorage}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Float64, Daedalus.DaedalusStructs.Params}, Tuple{Nothing, Nothing}, _A, Nothing}, Float64} where _A), OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Vector{Vector{Float64}}, Matrix{Rational{Int64}}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), Matrix{Float64}, OrdinaryDiffEqBDF.StabilityLimitDetectionState{Float64}} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Float64, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, SciMLOperators.WOperator{true, Float64, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, SciMLOperators.AddedOperator{Float64, Tuple{SciMLOperators.ScaledOperator{Float64, SciMLOperators.ScalarOperator{Float64, SciMLOperators.FilterKwargs{typeof(SciMLOperators.DEFAULT_UPDATE_FUNC), Val{()}}}, SciMLOperators.IdentityOperator}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, SciMLBase.UJacobianWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, FunctionWrappersWrappers.AllowNonIsBits, FunctionWrappersWrappers.SingleCacheStorage}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Float64, Daedalus.DaedalusStructs.Params}, Tuple{Nothing, Nothing}, _A, Nothing}, Float64} where _A)}, 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}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, FunctionWrappersWrappers.AllowNonIsBits, FunctionWrappersWrappers.SingleCacheStorage}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Float64, Float64, Float64, Daedalus.DaedalusStructs.Params, Bool, Val{true}, DiffEqBase.DEVerbosity{SciMLLogging.Minimal, SciMLLogging.Minimal, SciMLLogging.WarnLevel, SciMLLogging.WarnLevel, SciMLLogging.WarnLevel, SciMLLogging.WarnLevel, SciMLLogging.WarnLevel, SciMLLogging.WarnLevel, SciMLLogging.WarnLevel, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.WarnLevel, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.WarnLevel, SciMLLogging.Silent, SciMLLogging.WarnLevel, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent}}, 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, Val{true}}}, Tuple{OrdinaryDiffEqRosenbrock.Rosenbrock23{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}, Nothing, Nothing, Int64}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqRosenbrock.Rodas5P{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}, Nothing, Nothing, Int64}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}, Nothing, Nothing, Int64}, Nothing, OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, 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459.50731163011255, 19.754018776296192, 19.516471937814714, 26.613477731060783, 28.979538320292114, 509.4203710979718  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [3891.404976469868, 12865.04847529068, 8110.480399319351, 10610.330585076288, 458.9004756505079, 19.727931162384856, 19.49069803375039, 26.57833135706225, 28.94126727197582, 508.74761877803775  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [3875.272173528905, 12809.492412545495, 8073.196545769618, 10567.596501987848, 456.7909115697548, 19.63724192326663, 19.401099354597743, 26.456150849234856, 28.808224354986272, 506.40890753303086  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [3873.001458603653, 12801.672256043747, 8067.947798063204, 10561.581763330918, 456.49393127999963, 19.624474870226273, 19.38848582844834, 26.438950517209825, 28.789494834324678, 506.0796683553579  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [3872.434015393532, 12799.718006092873, 8066.636117551726, 10560.07870827208, 456.4197148611215, 19.621284338770256, 19.385333663902315, 26.434652093743868, 28.784814261240335, 505.99739032693594  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [3872.4352615235753, 12799.722256281251, 8066.638975360347, 10560.08205179173, 456.41987655927886, 19.621291290103464, 19.38534053164407, 26.434661458883888, 28.784824458984374, 505.9975695892309  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [2.123012442653491e-6, 7.280139918894617e-6, 4.947749063251185e-6, 5.6592844183571965e-6, 2.799494086279848e-7, 1.2034901284136242e-8, 1.1890180578920317e-8, 1.6213944871250315e-8, 1.7655444048155753e-8, 3.1035833743800294e-7  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [2.0852749507269373e6, 5.626906030010288e6, 2.911712784962746e6, 7.456908364043943e6, 164748.1180139718, 7082.449689564828, 6997.281524468284, 9541.785862873057, 10390.094517201229, 182643.55167416288  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.2404506139593263], [1.0180971208929403e-9, 1.2938086761725962e-9, 1.6992572279845912e-9, 7.589317318004983e-10, 1.6992570633002243e-9, 1.6992566064173718e-9, 1.6992568727933613e-9, 1.6992566369742071e-9, 1.6992571226905584e-9, 1.6992569886037154e-9  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], OrdinaryDiffEqCore.trivial_limiter!, OrdinaryDiffEqCore.trivial_limiter!, static(false)), #undef, #undef, #undef, #undef, #undef), nothing, false), false, 0, SciMLBase.DEStats(4298, 0, 0, 0, 0, 0, 0, 0, 0, 616, 616, 0, 0.0), [1, 1, 1, 1, 1, 1, 1, 1, 1, 1  …  1, 1, 1, 1, 1, 1, 1, 1, 1, 1], SciMLBase.ReturnCode.Success, nothing, nothing, nothing), saves = nothing, npi = nothing)

You can also pass a DataLoader.CountryData struct directly and customize infection parameters. This is useful when you want to pre-fetch or modify country or infection data before running the model:

# Pre-fetch country data and pass the struct directly
uk = Daedalus.DataLoader.get_country("United Kingdom")
infection = Daedalus.DataLoader.get_pathogen("sars-cov-2 delta")
infection.r0 = 2.5
result2 = daedalus(uk, infection, time_end=600.0)

(sol = SciMLBase.ODESolution{Float64, 2, Vector{Vector{Float64}}, Nothing, Nothing, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Nothing, SciMLBase.ODEProblem{Vector{Float64}, Tuple{Float64, Float64}, true, Daedalus.DaedalusStructs.Params, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, FunctionWrappersWrappers.AllowNonIsBits, FunctionWrappersWrappers.SingleCacheStorage}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Base.Pairs{Symbol, Union{}, Nothing, @NamedTuple{}}, SciMLBase.StandardODEProblem}, OrdinaryDiffEqCore.CompositeAlgorithm{0, Tuple{OrdinaryDiffEqTsit5.Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False, Val{true}}, OrdinaryDiffEqRosenbrock.Rosenbrock23{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}, Nothing, Nothing, Int64}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqRosenbrock.Rodas5P{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}, Nothing, Nothing, Int64}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}, Nothing, Nothing, Int64}, Nothing, OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, 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ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}, Nothing, Nothing, Int64}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqRosenbrock.Rodas5P{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}, Nothing, Nothing, Int64}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}, Nothing, Nothing, Int64}, Nothing, OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}, Nothing, Nothing, Int64}, LinearSolve.KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, Base.Pairs{Symbol, Union{}, Nothing, @NamedTuple{}}}, OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, 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}, Daedalus.DaedalusStructs.Params, 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}}, 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FunctionWrappersWrappers.SingleCacheStorage}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Daedalus.DaedalusStructs.Params}, SciMLBase.UJacobianWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 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LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, LinearSolve.LinearVerbosity{SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.WarnLevel, SciMLLogging.WarnLevel, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent}, Bool, LinearSolve.LinearSolveAdjoint{Missing}}, Tuple{DifferentiationInterfaceFiniteDiffExt.FiniteDiffTwoArgJacobianPrep{Nothing, FiniteDiff.JacobianCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, UnitRange{Int64}, Nothing, Val{:forward}(), Float64}, Float64, Float64, Int64}, DifferentiationInterfaceFiniteDiffExt.FiniteDiffTwoArgJacobianPrep{Nothing, FiniteDiff.JacobianCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, UnitRange{Int64}, Nothing, Val{:forward}(), Float64}, Float64, Float64, Int64}}, Tuple{DifferentiationInterfaceFiniteDiffExt.FiniteDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Daedalus.DaedalusStructs.Params, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, 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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}}, Daedalus.DaedalusStructs.Params, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, FunctionWrappersWrappers.AllowNonIsBits, FunctionWrappersWrappers.SingleCacheStorage}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Daedalus.DaedalusStructs.Params}, Vector{Float64}, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}, Nothing, Nothing, Int64}, Float64, Tuple{}}, FiniteDiff.GradientCache{Nothing, Vector{Float64}, Vector{Float64}, Float64, Val{:forward}(), Float64, Val{true}()}, Float64, Float64, Int64}}, Float64, OrdinaryDiffEqRosenbrock.Rosenbrock23{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}, Nothing, Nothing, Int64}, 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.JacReuseState{Float64}}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64, Vector{Float64}}, SciMLBase.TimeGradientWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, FunctionWrappersWrappers.AllowNonIsBits, FunctionWrappersWrappers.SingleCacheStorage}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Daedalus.DaedalusStructs.Params}, SciMLBase.UJacobianWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, FunctionWrappersWrappers.AllowNonIsBits, FunctionWrappersWrappers.SingleCacheStorage}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Float64, Daedalus.DaedalusStructs.Params}, 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, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, 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, Nothing, Nothing, Nothing, Matrix{Float64}, Vector{Float64}}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, LinearSolve.LinearVerbosity{SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.WarnLevel, SciMLLogging.WarnLevel, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent}, Bool, LinearSolve.LinearSolveAdjoint{Missing}}, Tuple{DifferentiationInterfaceFiniteDiffExt.FiniteDiffTwoArgJacobianPrep{Nothing, FiniteDiff.JacobianCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, UnitRange{Int64}, Nothing, Val{:forward}(), Float64}, Float64, Float64, Int64}, DifferentiationInterfaceFiniteDiffExt.FiniteDiffTwoArgJacobianPrep{Nothing, FiniteDiff.JacobianCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, UnitRange{Int64}, Nothing, Val{:forward}(), Float64}, Float64, Float64, Int64}}, Tuple{DifferentiationInterfaceFiniteDiffExt.FiniteDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, FunctionWrappersWrappers.AllowNonIsBits, FunctionWrappersWrappers.SingleCacheStorage}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Daedalus.DaedalusStructs.Params}, Vector{Float64}, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}, Nothing, Nothing, Int64}, Float64, Tuple{}}, FiniteDiff.GradientCache{Nothing, Vector{Float64}, Vector{Float64}, Float64, Val{:forward}(), Float64, Val{true}()}, Float64, Float64, Int64}, DifferentiationInterfaceFiniteDiffExt.FiniteDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, FunctionWrappersWrappers.AllowNonIsBits, FunctionWrappersWrappers.SingleCacheStorage}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Daedalus.DaedalusStructs.Params}, Vector{Float64}, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}, Nothing, Nothing, Int64}, Float64, Tuple{}}, FiniteDiff.GradientCache{Nothing, Vector{Float64}, Vector{Float64}, Float64, Val{:forward}(), Float64, Val{true}()}, Float64, Float64, Int64}}, Float64, OrdinaryDiffEqRosenbrock.Rodas5P{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}, Nothing, Nothing, Int64}, 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!), OrdinaryDiffEqRosenbrock.JacReuseState{Float64}}, OrdinaryDiffEqBDF.FBDFCache{5, OrdinaryDiffEqNonlinearSolve.NLSolver{OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Float64, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, SciMLBase.UJacobianWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, FunctionWrappersWrappers.AllowNonIsBits, FunctionWrappersWrappers.SingleCacheStorage}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Float64, Daedalus.DaedalusStructs.Params}, Tuple{DifferentiationInterfaceFiniteDiffExt.FiniteDiffTwoArgJacobianPrep{Nothing, FiniteDiff.JacobianCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, UnitRange{Int64}, Nothing, Val{:forward}(), Float64}, Float64, Float64, Int64}, DifferentiationInterfaceFiniteDiffExt.FiniteDiffTwoArgJacobianPrep{Nothing, FiniteDiff.JacobianCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, UnitRange{Int64}, Nothing, Val{:forward}(), Float64}, Float64, Float64, Int64}}, 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, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, 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, Nothing, Nothing, Nothing, Matrix{Float64}, Vector{Float64}}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, LinearSolve.LinearVerbosity{SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.WarnLevel, SciMLLogging.WarnLevel, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent}, Bool, LinearSolve.LinearSolveAdjoint{Missing}}, Nothing}, Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Vector{Vector{Float64}}, Matrix{Rational{Int64}}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), Matrix{Float64}, OrdinaryDiffEqBDF.StabilityLimitDetectionState{Float64}}, Union{OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Vector{Vector{Float64}}, Matrix{Rational{Int64}}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), Matrix{Float64}, OrdinaryDiffEqBDF.StabilityLimitDetectionState{Float64}} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Float64, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, SciMLOperators.WOperator{true, Float64, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, SciMLBase.UJacobianWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, FunctionWrappersWrappers.AllowNonIsBits, FunctionWrappersWrappers.SingleCacheStorage}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Float64, Daedalus.DaedalusStructs.Params}, Tuple{Nothing, Nothing}, _A, Nothing}, Float64} where _A), OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Vector{Vector{Float64}}, Matrix{Rational{Int64}}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), Matrix{Float64}, OrdinaryDiffEqBDF.StabilityLimitDetectionState{Float64}} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Float64, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, SciMLOperators.WOperator{true, Float64, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, SciMLOperators.AddedOperator{Float64, Tuple{SciMLOperators.ScaledOperator{Float64, SciMLOperators.ScalarOperator{Float64, SciMLOperators.FilterKwargs{typeof(SciMLOperators.DEFAULT_UPDATE_FUNC), Val{()}}}, SciMLOperators.IdentityOperator}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, SciMLBase.UJacobianWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, FunctionWrappersWrappers.AllowNonIsBits, FunctionWrappersWrappers.SingleCacheStorage}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Float64, Daedalus.DaedalusStructs.Params}, Tuple{Nothing, Nothing}, _A, Nothing}, Float64} where _A)}, 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}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, FunctionWrappersWrappers.AllowNonIsBits, FunctionWrappersWrappers.SingleCacheStorage}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Float64, Float64, Float64, Daedalus.DaedalusStructs.Params, Bool, Val{true}, DiffEqBase.DEVerbosity{SciMLLogging.Minimal, SciMLLogging.Minimal, SciMLLogging.WarnLevel, SciMLLogging.WarnLevel, SciMLLogging.WarnLevel, SciMLLogging.WarnLevel, SciMLLogging.WarnLevel, SciMLLogging.WarnLevel, SciMLLogging.WarnLevel, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.WarnLevel, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.WarnLevel, SciMLLogging.Silent, SciMLLogging.WarnLevel, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent}}, 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, Val{true}}}, Tuple{OrdinaryDiffEqRosenbrock.Rosenbrock23{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}, Nothing, Nothing, Int64}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqRosenbrock.Rodas5P{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}, Nothing, Nothing, Int64}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}, Nothing, Nothing, Int64}, Nothing, OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqBDF.FBDF{5, 0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, 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Tuple{}}, FiniteDiff.GradientCache{Nothing, Vector{Float64}, Vector{Float64}, Float64, Val{:forward}(), Float64, Val{true}()}, Float64, Float64, Int64}, DifferentiationInterfaceFiniteDiffExt.FiniteDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, FunctionWrappersWrappers.AllowNonIsBits, FunctionWrappersWrappers.SingleCacheStorage}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Daedalus.DaedalusStructs.Params}, Vector{Float64}, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}, Nothing, Nothing, Int64}, Float64, Tuple{}}, FiniteDiff.GradientCache{Nothing, Vector{Float64}, Vector{Float64}, Float64, Val{:forward}(), Float64, Val{true}()}, Float64, Float64, Int64}}, Float64, OrdinaryDiffEqRosenbrock.Rosenbrock23{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}, Nothing, Nothing, Int64}, 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.JacReuseState{Float64}}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64, Vector{Float64}}, SciMLBase.TimeGradientWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, FunctionWrappersWrappers.AllowNonIsBits, FunctionWrappersWrappers.SingleCacheStorage}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Daedalus.DaedalusStructs.Params}, SciMLBase.UJacobianWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, FunctionWrappersWrappers.AllowNonIsBits, FunctionWrappersWrappers.SingleCacheStorage}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Float64, Daedalus.DaedalusStructs.Params}, 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, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, 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, Nothing, Nothing, Nothing, Matrix{Float64}, Vector{Float64}}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, LinearSolve.LinearVerbosity{SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.WarnLevel, SciMLLogging.WarnLevel, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent}, Bool, LinearSolve.LinearSolveAdjoint{Missing}}, Tuple{DifferentiationInterfaceFiniteDiffExt.FiniteDiffTwoArgJacobianPrep{Nothing, FiniteDiff.JacobianCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, UnitRange{Int64}, Nothing, Val{:forward}(), Float64}, Float64, Float64, Int64}, DifferentiationInterfaceFiniteDiffExt.FiniteDiffTwoArgJacobianPrep{Nothing, FiniteDiff.JacobianCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, UnitRange{Int64}, Nothing, Val{:forward}(), Float64}, Float64, Float64, Int64}}, Tuple{DifferentiationInterfaceFiniteDiffExt.FiniteDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, FunctionWrappersWrappers.AllowNonIsBits, FunctionWrappersWrappers.SingleCacheStorage}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Daedalus.DaedalusStructs.Params}, Vector{Float64}, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}, Nothing, Nothing, Int64}, Float64, Tuple{}}, FiniteDiff.GradientCache{Nothing, Vector{Float64}, Vector{Float64}, Float64, Val{:forward}(), Float64, Val{true}()}, Float64, Float64, Int64}, DifferentiationInterfaceFiniteDiffExt.FiniteDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, FunctionWrappersWrappers.AllowNonIsBits, FunctionWrappersWrappers.SingleCacheStorage}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Daedalus.DaedalusStructs.Params}, Vector{Float64}, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}, Nothing, Nothing, Int64}, Float64, Tuple{}}, FiniteDiff.GradientCache{Nothing, Vector{Float64}, Vector{Float64}, Float64, Val{:forward}(), Float64, Val{true}()}, Float64, Float64, Int64}}, Float64, OrdinaryDiffEqRosenbrock.Rodas5P{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}, Nothing, Nothing, Int64}, 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!), OrdinaryDiffEqRosenbrock.JacReuseState{Float64}}, OrdinaryDiffEqBDF.FBDFCache{5, OrdinaryDiffEqNonlinearSolve.NLSolver{OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Float64, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, SciMLBase.UJacobianWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, FunctionWrappersWrappers.AllowNonIsBits, FunctionWrappersWrappers.SingleCacheStorage}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Float64, Daedalus.DaedalusStructs.Params}, Tuple{DifferentiationInterfaceFiniteDiffExt.FiniteDiffTwoArgJacobianPrep{Nothing, FiniteDiff.JacobianCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, UnitRange{Int64}, Nothing, Val{:forward}(), Float64}, Float64, Float64, Int64}, DifferentiationInterfaceFiniteDiffExt.FiniteDiffTwoArgJacobianPrep{Nothing, FiniteDiff.JacobianCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, UnitRange{Int64}, Nothing, Val{:forward}(), Float64}, Float64, Float64, Int64}}, 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, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, 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, Nothing, Nothing, Nothing, Matrix{Float64}, Vector{Float64}}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, LinearSolve.LinearVerbosity{SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.WarnLevel, SciMLLogging.WarnLevel, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent}, Bool, LinearSolve.LinearSolveAdjoint{Missing}}, Nothing}, Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Vector{Vector{Float64}}, Matrix{Rational{Int64}}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), Matrix{Float64}, OrdinaryDiffEqBDF.StabilityLimitDetectionState{Float64}}, Union{OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Vector{Vector{Float64}}, Matrix{Rational{Int64}}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), Matrix{Float64}, OrdinaryDiffEqBDF.StabilityLimitDetectionState{Float64}} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Float64, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, SciMLOperators.WOperator{true, Float64, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, SciMLBase.UJacobianWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, FunctionWrappersWrappers.AllowNonIsBits, FunctionWrappersWrappers.SingleCacheStorage}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Float64, Daedalus.DaedalusStructs.Params}, Tuple{Nothing, Nothing}, _A, Nothing}, Float64} where _A), OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Vector{Vector{Float64}}, Matrix{Rational{Int64}}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), Matrix{Float64}, OrdinaryDiffEqBDF.StabilityLimitDetectionState{Float64}} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Float64, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, SciMLOperators.WOperator{true, Float64, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, SciMLOperators.AddedOperator{Float64, Tuple{SciMLOperators.ScaledOperator{Float64, SciMLOperators.ScalarOperator{Float64, SciMLOperators.FilterKwargs{typeof(SciMLOperators.DEFAULT_UPDATE_FUNC), Val{()}}}, SciMLOperators.IdentityOperator}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, SciMLBase.UJacobianWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, FunctionWrappersWrappers.AllowNonIsBits, FunctionWrappersWrappers.SingleCacheStorage}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Float64, Daedalus.DaedalusStructs.Params}, Tuple{Nothing, Nothing}, _A, Nothing}, Float64} where _A)}, 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}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, FunctionWrappersWrappers.AllowNonIsBits, FunctionWrappersWrappers.SingleCacheStorage}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Float64, Float64, Float64, Daedalus.DaedalusStructs.Params, Bool, Val{true}, DiffEqBase.DEVerbosity{SciMLLogging.Minimal, SciMLLogging.Minimal, SciMLLogging.WarnLevel, SciMLLogging.WarnLevel, SciMLLogging.WarnLevel, SciMLLogging.WarnLevel, SciMLLogging.WarnLevel, SciMLLogging.WarnLevel, SciMLLogging.WarnLevel, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.WarnLevel, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.WarnLevel, SciMLLogging.Silent, SciMLLogging.WarnLevel, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent}}, 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, Val{true}}}, Tuple{OrdinaryDiffEqRosenbrock.Rosenbrock23{0, ADTypes.AutoFiniteDiff{Val{:forward}, 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Vector{Float64}, Vector{Float64}, Vector{Float64}, UnitRange{Int64}, Nothing, Val{:forward}(), Float64}, Float64, Float64, Int64}, DifferentiationInterfaceFiniteDiffExt.FiniteDiffTwoArgJacobianPrep{Nothing, FiniteDiff.JacobianCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, UnitRange{Int64}, Nothing, Val{:forward}(), Float64}, Float64, Float64, Int64}}, Tuple{DifferentiationInterfaceFiniteDiffExt.FiniteDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, FunctionWrappersWrappers.AllowNonIsBits, FunctionWrappersWrappers.SingleCacheStorage}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Daedalus.DaedalusStructs.Params}, Vector{Float64}, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}, Nothing, Nothing, Int64}, Float64, Tuple{}}, FiniteDiff.GradientCache{Nothing, Vector{Float64}, Vector{Float64}, Float64, Val{:forward}(), Float64, Val{true}()}, Float64, Float64, Int64}, DifferentiationInterfaceFiniteDiffExt.FiniteDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, FunctionWrappersWrappers.AllowNonIsBits, FunctionWrappersWrappers.SingleCacheStorage}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Daedalus.DaedalusStructs.Params}, Vector{Float64}, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}, Nothing, Nothing, Int64}, Float64, Tuple{}}, FiniteDiff.GradientCache{Nothing, Vector{Float64}, Vector{Float64}, Float64, Val{:forward}(), Float64, Val{true}()}, Float64, Float64, Int64}}, Float64, OrdinaryDiffEqRosenbrock.Rosenbrock23{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}, Nothing, Nothing, Int64}, 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.JacReuseState{Float64}}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64, Vector{Float64}}, SciMLBase.TimeGradientWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, FunctionWrappersWrappers.AllowNonIsBits, FunctionWrappersWrappers.SingleCacheStorage}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Daedalus.DaedalusStructs.Params}, SciMLBase.UJacobianWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, FunctionWrappersWrappers.AllowNonIsBits, FunctionWrappersWrappers.SingleCacheStorage}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Float64, Daedalus.DaedalusStructs.Params}, 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, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, 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, Nothing, Nothing, Nothing, Matrix{Float64}, Vector{Float64}}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, LinearSolve.LinearVerbosity{SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.WarnLevel, SciMLLogging.WarnLevel, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent}, Bool, LinearSolve.LinearSolveAdjoint{Missing}}, Tuple{DifferentiationInterfaceFiniteDiffExt.FiniteDiffTwoArgJacobianPrep{Nothing, FiniteDiff.JacobianCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, UnitRange{Int64}, Nothing, Val{:forward}(), Float64}, Float64, Float64, Int64}, DifferentiationInterfaceFiniteDiffExt.FiniteDiffTwoArgJacobianPrep{Nothing, FiniteDiff.JacobianCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, UnitRange{Int64}, Nothing, Val{:forward}(), Float64}, Float64, Float64, Int64}}, Tuple{DifferentiationInterfaceFiniteDiffExt.FiniteDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, FunctionWrappersWrappers.AllowNonIsBits, FunctionWrappersWrappers.SingleCacheStorage}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Daedalus.DaedalusStructs.Params}, Vector{Float64}, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}, Nothing, Nothing, Int64}, Float64, Tuple{}}, FiniteDiff.GradientCache{Nothing, Vector{Float64}, Vector{Float64}, Float64, Val{:forward}(), Float64, Val{true}()}, Float64, Float64, Int64}, DifferentiationInterfaceFiniteDiffExt.FiniteDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, FunctionWrappersWrappers.AllowNonIsBits, FunctionWrappersWrappers.SingleCacheStorage}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Daedalus.DaedalusStructs.Params}, Vector{Float64}, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}, Nothing, Nothing, Int64}, Float64, Tuple{}}, FiniteDiff.GradientCache{Nothing, Vector{Float64}, Vector{Float64}, Float64, Val{:forward}(), Float64, Val{true}()}, Float64, Float64, Int64}}, Float64, OrdinaryDiffEqRosenbrock.Rodas5P{0, ADTypes.AutoFiniteDiff{Val{:forward}, Val{:forward}, Val{:hcentral}, Nothing, Nothing, Int64}, 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!), OrdinaryDiffEqRosenbrock.JacReuseState{Float64}}, OrdinaryDiffEqBDF.FBDFCache{5, OrdinaryDiffEqNonlinearSolve.NLSolver{OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Float64, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, SciMLBase.UJacobianWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, FunctionWrappersWrappers.AllowNonIsBits, FunctionWrappersWrappers.SingleCacheStorage}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Float64, Daedalus.DaedalusStructs.Params}, Tuple{DifferentiationInterfaceFiniteDiffExt.FiniteDiffTwoArgJacobianPrep{Nothing, FiniteDiff.JacobianCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, UnitRange{Int64}, Nothing, Val{:forward}(), Float64}, Float64, Float64, Int64}, DifferentiationInterfaceFiniteDiffExt.FiniteDiffTwoArgJacobianPrep{Nothing, FiniteDiff.JacobianCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, UnitRange{Int64}, Nothing, Val{:forward}(), Float64}, Float64, Float64, Int64}}, 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, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, 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, Nothing, Nothing, Nothing, Matrix{Float64}, Vector{Float64}}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, LinearSolve.LinearVerbosity{SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.WarnLevel, SciMLLogging.WarnLevel, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent}, Bool, LinearSolve.LinearSolveAdjoint{Missing}}, Nothing}, Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Vector{Vector{Float64}}, Matrix{Rational{Int64}}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), Matrix{Float64}, OrdinaryDiffEqBDF.StabilityLimitDetectionState{Float64}}, Union{OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Vector{Vector{Float64}}, Matrix{Rational{Int64}}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), Matrix{Float64}, OrdinaryDiffEqBDF.StabilityLimitDetectionState{Float64}} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Float64, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, SciMLOperators.WOperator{true, Float64, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, SciMLBase.UJacobianWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, FunctionWrappersWrappers.AllowNonIsBits, FunctionWrappersWrappers.SingleCacheStorage}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Float64, Daedalus.DaedalusStructs.Params}, Tuple{Nothing, Nothing}, _A, Nothing}, Float64} where _A), OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Vector{Vector{Float64}}, Matrix{Rational{Int64}}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), Matrix{Float64}, OrdinaryDiffEqBDF.StabilityLimitDetectionState{Float64}} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Float64, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, SciMLOperators.WOperator{true, Float64, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, SciMLOperators.AddedOperator{Float64, Tuple{SciMLOperators.ScaledOperator{Float64, SciMLOperators.ScalarOperator{Float64, SciMLOperators.FilterKwargs{typeof(SciMLOperators.DEFAULT_UPDATE_FUNC), Val{()}}}, SciMLOperators.IdentityOperator}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, SciMLBase.UJacobianWrapper{true, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Daedalus.DaedalusStructs.Params, 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}}, Daedalus.DaedalusStructs.Params, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, FunctionWrappersWrappers.AllowNonIsBits, FunctionWrappersWrappers.SingleCacheStorage}, LinearAlgebra.UniformScaling{Bool}, 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Base.Pairs{Symbol, Union{}, Nothing, @NamedTuple{}}}(Krylov.gmres!, 0, 0, nothing, (), Base.Pairs{Symbol, Union{}, Nothing, @NamedTuple{}}()), OrdinaryDiffEqNonlinearSolve.NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}(1//100, 10, 1//5, 1//5, false, true, nothing), OrdinaryDiffEqCore.DEFAULT_PRECS, nothing, nothing, :linear, :Standard, OrdinaryDiffEqCore.trivial_limiter!, ADTypes.AutoFiniteDiff(), true, 0.98, 0.0001, 0.0005, 0.001, 0.01, 1.0e-90)), false, 10, 3, 9//10, 9//10, 2, false, 5, 1), 1, [2.0247903967038586e6, 5.293020784676612e6, 2.610500274923471e6, 7.441796881688795e6, 147705.16157695104, 6349.780430688029, 6273.422790076121, 8554.701805387598, 9315.254146532054, 163749.338300378  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.9298311621737281], OrdinaryDiffEqTsit5.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}([2.0247903967038586e6, 5.293020784676612e6, 2.610500274923471e6, 7.441796881688795e6, 147705.16157695104, 6349.780430688029, 6273.422790076121, 8554.701805387598, 9315.254146532054, 163749.338300378  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.9298311621737281], [2.0213388612206737e6, 5.281138075368879e6, 2.6026347485010223e6, 7.432823731789107e6, 147260.120884071, 6330.648325537883, 6254.520753103157, 8528.926196883433, 9287.18696786703, 163255.95595545648  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.9270377234671323], [3434.442503015188, 11827.849758917695, 7832.406072392365, 8924.331805797287, 443.1667047010451, 19.051543216227852, 18.822443815723165, 25.667071944663242, 27.94899270612595, 491.30479853778684  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [3440.0483411764585, 11845.84787425715, 7843.277480099438, 8940.335907868135, 443.7818216758898, 19.07798682651034, 18.84856943521645, 25.70269793253697, 27.987786008197112, 491.9867313594484  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [3445.722443161909, 11864.05628960109, 7854.268104720972, 8956.543237702164, 444.40368408331767, 19.104720419995555, 18.87498155079453, 25.73871459845934, 28.0270047213925, 492.67614232276907  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [3465.0313419894037, 11926.018408305657, 7891.669112930691, 9011.701429955923, 446.51987691188174, 19.19569462608908, 18.964861770125886, 25.861279026254465, 28.1604656906009, 495.0222023500136  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [3467.6902562526634, 11934.550260960918, 7896.818694816615, 9019.297947858995, 446.81124628342354, 19.20822046820431, 18.977236985969704, 25.878154388375535, 28.178841350039264, 495.3452211347437  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [3468.3516468002954, 11936.67237813292, 7898.099428946549, 9021.187679207898, 446.883711719806, 19.21133572568705, 18.98031478173013, 25.882351399453754, 28.18341149470811, 495.4255579837108  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [3468.321570117382, 11936.571872478678, 7898.035115332703, 9021.105306157187, 446.880072780245, 19.211179289263526, 18.980160226492313, 25.88214064146467, 28.18318199936433, 495.4215237716437  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [-8.12718760776844e-6, -2.7065513278753792e-5, -1.7529546096666325e-5, -2.2244948854500785e-5, -9.918421912471969e-7, -4.2638861214864645e-8, -4.2126119327293006e-8, -5.744493922888477e-8, -6.255206092652534e-8, -1.099579017474979e-6  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [2.024789778458705e6, 5.293018750713881e6, 2.6104990025859266e6, 7.441795161051673e6, 147705.0895866033, 6349.7773358544, 6273.419732458612, 8554.69763589243, 9315.249606349584, 163749.25849022326  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.9270377234671323], [-4.013841441062141e-9, -5.1134341569176315e-9, -6.715014075401776e-9, -2.9891905416348133e-9, -6.715013706650027e-9, -6.715012426852072e-9, -6.715012525366448e-9, -6.715012845648708e-9, -6.715013163092225e-9, -6.715013460041733e-9  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], OrdinaryDiffEqCore.trivial_limiter!, OrdinaryDiffEqCore.trivial_limiter!, static(false)), #undef, #undef, #undef, #undef, #undef), nothing, false), false, 0, SciMLBase.DEStats(4310, 0, 0, 0, 0, 0, 0, 0, 0, 618, 618, 0, 0.0), [1, 1, 1, 1, 1, 1, 1, 1, 1, 1  …  1, 1, 1, 1, 1, 1, 1, 1, 1, 1], SciMLBase.ReturnCode.Success, nothing, nothing, nothing), saves = nothing, npi = nothing)

The Data sub-module also exposes lower-level functions for inspecting or manipulating the country arrays directly. Each function accepts either a country name String or a CountryData struct:

Running Daedalus with country and infection structs

Pass a country name string directly to daedalus to use country-specific demography, contact patterns, and workforce data.

using Daedalus
using Plots

# Run the model using UK demography and contact patterns
infection_uk = Daedalus.DataLoader.get_pathogen("sars-cov-2 delta")
infection_uk.r0 = 2.5
data_uk = daedalus("United Kingdom", infection_uk, time_end=600.0)

times_uk = Daedalus.Outputs.get_times(data_uk)
exposed_uk = Daedalus.Outputs.get_values(data_uk, "E", 1)
hosp_uk = Daedalus.Outputs.get_values(data_uk, "H", 1)

plot(times_uk, exposed_uk, label = "exposed")
plot!(times_uk, hosp_uk, label = "hospitalised")
xlabel!("Time (days)")
ylabel!("# individuals")
title!("United Kingdom — SEIR dynamics")

# Effective reproduction number over time
rt_uk = Daedalus.Outputs.get_values(data_uk, "Rt", 1)
plot(times_uk, rt_uk, label = "Rt", color = :red)
hline!([1.0], linestyle = :dash, color = :black, label = "Rt = 1")
xlabel!("Time (days)")
ylabel!("Rt")
title!("United Kingdom — effective reproduction number")

See Country and pathogen data for a full overview of the bundled data and how to use pathogen-specific parameters.