Burgers FDM Work-Precision Diagrams with Various MethodOfLines Methods

This benchmark is for the MethodOfLines package, which is an automatic PDE discretization package. It is concerned with comparing the performance of various discretization methods for the Burgers equation.

using MethodOfLines, DomainSets, OrdinaryDiffEq, ModelingToolkit, DiffEqDevTools,
      LinearAlgebra,
      LinearSolve, Plots, RecursiveFactorization

Here is the Burgers equation with Dirichlet and Neumann boundary conditions,

# pdesys1 has Dirichlet BCs, pdesys2 has Neumann BCs
const N = 30

@parameters x t
@variables u(..)
Dx = Differential(x)
Dt = Differential(t)
x_min = 0.0
x_max = 1.0
t_min = 0.0
t_max = 20.0

solver = FBDF()

analytic_u(p, t, x) = x / (t + 1)

analytic = [u(t, x) ~ analytic_u([], t, x)]

eq = Dt(u(t, x)) ~ -u(t, x) * Dx(u(t, x))

bcs1 = [u(0, x) ~ x,
    u(t, x_min) ~ analytic_u([], t, x_min),
    u(t, x_max) ~ analytic_u([], t, x_max)]

bcs2 = [u(0, x) ~ x,
    Dx(u(t, x_min)) ~ 1 / (t + 1),
    Dx(u(t, x_max)) ~ 1 / (t + 1)]

domains = [t ∈ Interval(t_min, t_max),
    x ∈ Interval(x_min, x_max)]

@named pdesys1 = PDESystem(eq, bcs1, domains, [t, x], [u(t, x)], analytic = analytic)
@named pdesys2 = PDESystem(eq, bcs2, domains, [t, x], [u(t, x)], analytic = analytic)
PDESystem
Equations: Symbolics.Equation[Differential(t, 1)(u(t, x)) ~ -Differential(x
, 1)(u(t, x))*u(t, x)]
Boundary Conditions: Symbolics.Equation[u(0, x) ~ x, Differential(x, 1)(u(t
, 0.0)) ~ 1 / (1 + t), Differential(x, 1)(u(t, 1.0)) ~ 1 / (1 + t)]
Domain: Symbolics.VarDomainPairing[Symbolics.VarDomainPairing(t, 0.0 .. 20.
0), Symbolics.VarDomainPairing(x, 0.0 .. 1.0)]
Dependent Variables: Symbolics.Num[u(t, x)]
Independent Variables: Symbolics.Num[t, x]
Parameters: SciMLBase.NullParameters()
Default Parameter ValuesModelingToolkitBase.AtomicArrayDict{SymbolicUtils.B
asicSymbolicImpl.var"typeof(BasicSymbolicImpl)"{SymbolicUtils.SymReal}, Dic
t{SymbolicUtils.BasicSymbolicImpl.var"typeof(BasicSymbolicImpl)"{SymbolicUt
ils.SymReal}, SymbolicUtils.BasicSymbolicImpl.var"typeof(BasicSymbolicImpl)
"{SymbolicUtils.SymReal}}}()

Here is a uniform discretization with the Upwind scheme:

discupwind1 = MOLFiniteDifference([x => N], t, advection_scheme = UpwindScheme())
discupwind2 = MOLFiniteDifference([x => N-1], t, advection_scheme = UpwindScheme(), grid_align = edge_align)
MethodOfLines.MOLFiniteDifference{MethodOfLines.EdgeAlignedGrid}(Dict{Symbo
lics.Num, Int64}(x => 29), t, 2, MethodOfLines.UpwindScheme(1), MethodOfLin
es.EdgeAlignedGrid(), true, true, Any[], Base.Pairs{Symbol, Union{}, Tuple{
}, @NamedTuple{}}())

Here is a uniform discretization with the WENO scheme:

discweno1 = MOLFiniteDifference([x => N], t, advection_scheme = WENOScheme())
discweno2 = MOLFiniteDifference([x => N-1], t, advection_scheme = WENOScheme(), grid_align = edge_align)
MethodOfLines.MOLFiniteDifference{MethodOfLines.EdgeAlignedGrid}(Dict{Symbo
lics.Num, Int64}(x => 29), t, 2, MethodOfLines.FunctionalScheme{typeof(Meth
odOfLines.weno_f), Vector{MethodOfLines.WENONonUniformBoundary}, Vector{Met
hodOfLines.WENONonUniformBoundary}, Vector{Float64}}(MethodOfLines.weno_f, 
MethodOfLines.WENONonUniformBoundary[MethodOfLines.WENONonUniformBoundary{1
}(), MethodOfLines.WENONonUniformBoundary{2}()], MethodOfLines.WENONonUnifo
rmBoundary[MethodOfLines.WENONonUniformBoundary{5}(), MethodOfLines.WENONon
UniformBoundary{4}()], 5, 5, true, [1.0e-6], "WENO"), MethodOfLines.EdgeAli
gnedGrid(), true, true, Any[], Base.Pairs{Symbol, Union{}, Tuple{}, @NamedT
uple{}}())

Here is a non-uniform discretization with the Upwind scheme, using tanh (nonuniform WENO is not implemented yet):


gridnu1 = chebyspace(N, domains[2])
gridnu2 = chebyspace(N-1, domains[2])

discnu1 = MOLFiniteDifference([gridnu1], t, advection_scheme = UpwindScheme())
discnu2 = MOLFiniteDifference([gridnu2], t, advection_scheme = UpwindScheme(), grid_align = edge_align)
MethodOfLines.MOLFiniteDifference{MethodOfLines.EdgeAlignedGrid}(Dict{Symbo
licUtils.BasicSymbolicImpl.var"typeof(BasicSymbolicImpl)"{SymbolicUtils.Sym
Real}, Vector{Float64}}(x => [0.0, 0.0065867387292369295, 0.018225003740388
49, 0.03551164009160429, 0.05824397777698853, 0.08615550092155477, 0.118918
97243618177, 0.15615027057328829, 0.19741289240311743, 0.24222307141148913 
 …  0.7577769285885109, 0.8025871075968827, 0.8438497294267115, 0.881081027
5638182, 0.9138444990784453, 0.9417560222230115, 0.9644883599083958, 0.9817
749962596114, 0.9934132612707631, 1.0]), t, 2, MethodOfLines.UpwindScheme(1
), MethodOfLines.EdgeAlignedGrid(), true, true, Any[], Base.Pairs{Symbol, U
nion{}, Tuple{}, @NamedTuple{}}())

Here are the problems for pdesys1:

probupwind1 = discretize(pdesys1, discupwind1; analytic = pdesys1.analytic_func)
probupwind2 = discretize(pdesys1, discupwind2; analytic = pdesys1.analytic_func)

probweno1 = discretize(pdesys1, discweno1; analytic = pdesys1.analytic_func)
probweno2 = discretize(pdesys1, discweno2; analytic = pdesys1.analytic_func)

probnu1 = discretize(pdesys1, discnu1; analytic = pdesys1.analytic_func)
probnu2 = discretize(pdesys1, discnu2; analytic = pdesys1.analytic_func)

probs1 = [probupwind1, probupwind2, probnu1, probnu2, probweno1, probweno2]
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untimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), Mode
lingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (
0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothi
ng)), MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.
RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), Mod
elingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", 
(0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.
13793103448275862], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Sym
bol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_Mo
dTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x64
14cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), MethodOfLines.var"#71#
79"{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Sy
mbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_M
odTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6
414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.10344827586206896], RuntimeG
eneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#59648051601114242
96"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.v
ar"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a6
73), Nothing}(nothing)), MethodOfLines.var"#71#79"{Vector{Float64}, Runtime
GeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424
296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.
var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a
673), Nothing}}([0.06896551724137931], RuntimeGeneratedFunctions.RuntimeGen
eratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolk
itBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b11
4, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), Met
hodOfLines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGe
neratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingTool
kitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b1
14, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.034482758
620689655], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##a
rg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", M
odelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 
0x36f76a81, 0x1c55a673), Nothing}(nothing))]), nothing, nothing, nothing, n
othing, nothing, nothing, nothing, nothing, nothing, nothing, nothing, Mode
lingToolkitBase.ObservedFunctionCache{ModelingToolkitBase.System, Nothing}(
Model pdesys1:
Equations (28):
  28 standard: see equations(pdesys1)
Unknowns (28): see unknowns(pdesys1)
  (u(t))[29]
  (u(t))[28]
  (u(t))[27]
  (u(t))[26]
  ⋮
Observed (3): see observed(pdesys1), Dict{Any, Any}(), false, false, Method
OfLines, false, nothing), nothing, Model pdesys1:
Equations (28):
  28 standard: see equations(pdesys1)
Unknowns (28): see unknowns(pdesys1)
  (u(t))[29]
  (u(t))[28]
  (u(t))[27]
  (u(t))[26]
  ⋮
Observed (3): see observed(pdesys1), nothing, nothing), [0.9655172413793104
, 0.9310344827586207, 0.896551724137931, 0.8620689655172413, 0.827586206896
5517, 0.7931034482758621, 0.7586206896551724, 0.7241379310344828, 0.6896551
724137931, 0.6551724137931034  …  0.3448275862068966, 0.3103448275862069, 0
.27586206896551724, 0.2413793103448276, 0.20689655172413793, 0.172413793103
4483, 0.13793103448275862, 0.10344827586206896, 0.06896551724137931, 0.0344
82758620689655], (0.0, 20.0), ModelingToolkitBase.MTKParameters{StaticArray
sCore.SVector{0, Float64}, Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tupl
e{}}(Float64[], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 
0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], (), (), (), ()), Base.Pairs{S
ymbol, Union{}, Tuple{}, @NamedTuple{}}(), SciMLBase.StandardODEProblem())
 SciMLBase.ODEProblem{Vector{Float64}, Tuple{Float64, Float64}, true, Model
ingToolkitBase.MTKParameters{StaticArraysCore.SVector{0, Float64}, Vector{F
loat64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, SciMLBase.ODEFunction{true, S
ciMLBase.AutoDespecialize, ModelingToolkitBase.GeneratedFunctionWrapper{Tup
le{2, 3, true}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:___mtk
unknowns___, :___mtkparameters___, :__argₛᵧₘ9671596506859111994), MethodOfL
ines.var"#_RGF_ModTag", MethodOfLines.var"#_RGF_ModTag", (0xb0722e7e, 0x084
24914, 0x08d950c1, 0x57bacf70, 0xac946a41), Nothing}, RuntimeGeneratedFunct
ions.RuntimeGeneratedFunction{(:__argₛᵧₘ1401282876548370056, :___mtkunknown
s___, :___mtkparameters___, :__argₛᵧₘ9671596506859111994), MethodOfLines.va
r"#_RGF_ModTag", MethodOfLines.var"#_RGF_ModTag", (0xfc68b427, 0x0b1fb10d, 
0x8c1fd396, 0x50af7694, 0x85f207f0), Nothing}}, LinearAlgebra.UniformScalin
g{Bool}, MethodOfLines.var"#73#81"{Vector{MethodOfLines.var"#71#79"{Vector{
Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg
#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", Mod
elingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x
36f76a81, 0x1c55a673), Nothing}}}}, Nothing, Nothing, Nothing, Nothing, Not
hing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit
Base.ObservedFunctionCache{ModelingToolkitBase.System, Nothing}, Nothing, M
odelingToolkitBase.System, Union{Nothing, SciMLBase.OverrideInitData}, Unio
n{Nothing, SciMLBase.ODENLStepData}}, Base.Pairs{Symbol, Union{}, Tuple{}, 
@NamedTuple{}}, SciMLBase.StandardODEProblem}(SciMLBase.ODEFunction{true, S
ciMLBase.AutoDespecialize, ModelingToolkitBase.GeneratedFunctionWrapper{Tup
le{2, 3, true}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:___mtk
unknowns___, :___mtkparameters___, :__argₛᵧₘ9671596506859111994), MethodOfL
ines.var"#_RGF_ModTag", MethodOfLines.var"#_RGF_ModTag", (0xb0722e7e, 0x084
24914, 0x08d950c1, 0x57bacf70, 0xac946a41), Nothing}, RuntimeGeneratedFunct
ions.RuntimeGeneratedFunction{(:__argₛᵧₘ1401282876548370056, :___mtkunknown
s___, :___mtkparameters___, :__argₛᵧₘ9671596506859111994), MethodOfLines.va
r"#_RGF_ModTag", MethodOfLines.var"#_RGF_ModTag", (0xfc68b427, 0x0b1fb10d, 
0x8c1fd396, 0x50af7694, 0x85f207f0), Nothing}}, LinearAlgebra.UniformScalin
g{Bool}, MethodOfLines.var"#73#81"{Vector{MethodOfLines.var"#71#79"{Vector{
Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg
#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", Mod
elingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x
36f76a81, 0x1c55a673), Nothing}}}}, Nothing, Nothing, Nothing, Nothing, Not
hing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit
Base.ObservedFunctionCache{ModelingToolkitBase.System, Nothing}, Nothing, M
odelingToolkitBase.System, Union{Nothing, SciMLBase.OverrideInitData}, Unio
n{Nothing, SciMLBase.ODENLStepData}}(ModelingToolkitBase.GeneratedFunctionW
rapper{Tuple{2, 3, true}, RuntimeGeneratedFunctions.RuntimeGeneratedFunctio
n{(:___mtkunknowns___, :___mtkparameters___, :__argₛᵧₘ9671596506859111994),
 MethodOfLines.var"#_RGF_ModTag", MethodOfLines.var"#_RGF_ModTag", (0xb0722
e7e, 0x08424914, 0x08d950c1, 0x57bacf70, 0xac946a41), Nothing}, RuntimeGene
ratedFunctions.RuntimeGeneratedFunction{(:__argₛᵧₘ1401282876548370056, :___
mtkunknowns___, :___mtkparameters___, :__argₛᵧₘ9671596506859111994), Method
OfLines.var"#_RGF_ModTag", MethodOfLines.var"#_RGF_ModTag", (0xfc68b427, 0x
0b1fb10d, 0x8c1fd396, 0x50af7694, 0x85f207f0), Nothing}}(RuntimeGeneratedFu
nctions.RuntimeGeneratedFunction{(:___mtkunknowns___, :___mtkparameters___,
 :__argₛᵧₘ9671596506859111994), MethodOfLines.var"#_RGF_ModTag", MethodOfLi
nes.var"#_RGF_ModTag", (0xb0722e7e, 0x08424914, 0x08d950c1, 0x57bacf70, 0xa
c946a41), Nothing}(nothing), RuntimeGeneratedFunctions.RuntimeGeneratedFunc
tion{(:__argₛᵧₘ1401282876548370056, :___mtkunknowns___, :___mtkparameters__
_, :__argₛᵧₘ9671596506859111994), MethodOfLines.var"#_RGF_ModTag", MethodOf
Lines.var"#_RGF_ModTag", (0xfc68b427, 0x0b1fb10d, 0x8c1fd396, 0x50af7694, 0
x85f207f0), Nothing}(nothing)), LinearAlgebra.UniformScaling{Bool}(true), M
ethodOfLines.var"#73#81"{Vector{MethodOfLines.var"#71#79"{Vector{Float64}, 
RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#596480516
0111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolk
itBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 
0x1c55a673), Nothing}}}}(MethodOfLines.var"#71#79"{Vector{Float64}, Runtime
GeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424
296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.
var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a
673), Nothing}}[MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGenerated
Functions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t
, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF
_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Not
hing}}([0.9827586206896551], RuntimeGeneratedFunctions.RuntimeGeneratedFunc
tion{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var
"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999
b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), MethodOfLines
.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFun
ction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.va
r"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e99
9b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.9482758620689655], 
RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#596480516
0111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolk
itBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 
0x1c55a673), Nothing}(nothing)), MethodOfLines.var"#71#79"{Vector{Float64},
 RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#59648051
60111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingTool
kitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81,
 0x1c55a673), Nothing}}([0.9137931034482759], RuntimeGeneratedFunctions.Run
timeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), Modeli
ngToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0x
c731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing
)), MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.Ru
ntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), Model
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93103448275862], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol
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{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbo
l("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModT
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atedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296")
, :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#
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ratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"
), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"
#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673)
, Nothing}}([0.8103448275862069], RuntimeGeneratedFunctions.RuntimeGenerate
dFunction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBas
e.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x
1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), MethodOf
Lines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGenerat
edFunction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBa
se.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0
x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.77586206896551
72], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964
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a81, 0x1c55a673), Nothing}(nothing)), MethodOfLines.var"#71#79"{Vector{Floa
t64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#596
4805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", Modelin
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, (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(no
thing)), MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctio
ns.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), 
ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag
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[0.7068965517241379], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(S
ymbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_
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1#79"{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(
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GeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424
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timeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#596480516011
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eGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingT
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ToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76
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[0.1206896551724138], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(S
ymbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_
ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x
6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), MethodOfLines.var"#7
1#79"{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(
Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF
_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0
x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.08620689655172414], Runtim
eGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#596480516011142
4296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase
.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55
a673), Nothing}(nothing)), MethodOfLines.var"#71#79"{Vector{Float64}, Runti
meGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#59648051601114
24296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBas
e.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c5
5a673), Nothing}}([0.05172413793103448], RuntimeGeneratedFunctions.RuntimeG
eneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToo
lkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b
114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), M
ethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.Runtime
GeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingTo
olkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731
b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.0172413
79310344827], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("#
#arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag",
 ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2
, 0x36f76a81, 0x1c55a673), Nothing}(nothing))]), nothing, nothing, nothing,
 nothing, nothing, nothing, nothing, nothing, nothing, nothing, nothing, Mo
delingToolkitBase.ObservedFunctionCache{ModelingToolkitBase.System, Nothing
}(Model pdesys1:
Equations (29):
  29 standard: see equations(pdesys1)
Unknowns (29): see unknowns(pdesys1)
  (u(t))[30]
  (u(t))[29]
  (u(t))[28]
  (u(t))[27]
  ⋮
Observed (3): see observed(pdesys1), Dict{Any, Any}(), false, false, Method
OfLines, false, nothing), nothing, Model pdesys1:
Equations (29):
  29 standard: see equations(pdesys1)
Unknowns (29): see unknowns(pdesys1)
  (u(t))[30]
  (u(t))[29]
  (u(t))[28]
  (u(t))[27]
  ⋮
Observed (3): see observed(pdesys1), nothing, nothing), [0.9827586206896551
, 0.9482758620689655, 0.9137931034482759, 0.8793103448275862, 0.84482758620
68966, 0.8103448275862069, 0.7758620689655172, 0.7413793103448276, 0.706896
5517241379, 0.6724137931034483  …  0.3275862068965517, 0.29310344827586204,
 0.25862068965517243, 0.22413793103448276, 0.1896551724137931, 0.1551724137
9310345, 0.1206896551724138, 0.08620689655172414, 0.05172413793103448, 0.01
7241379310344827], (0.0, 20.0), ModelingToolkitBase.MTKParameters{StaticArr
aysCore.SVector{0, Float64}, Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tu
ple{}}(Float64[], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0
, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], (), (), (), ()), Base.Pairs
{Symbol, Union{}, Tuple{}, @NamedTuple{}}(), SciMLBase.StandardODEProblem()
)
 SciMLBase.ODEProblem{Vector{Float64}, Tuple{Float64, Float64}, true, Model
ingToolkitBase.MTKParameters{StaticArraysCore.SVector{0, Float64}, Vector{F
loat64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, SciMLBase.ODEFunction{true, S
ciMLBase.AutoDespecialize, ModelingToolkitBase.GeneratedFunctionWrapper{Tup
le{2, 3, true}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:___mtk
unknowns___, :___mtkparameters___, :__argₛᵧₘ9671596506859111994), MethodOfL
ines.var"#_RGF_ModTag", MethodOfLines.var"#_RGF_ModTag", (0x1faf51c5, 0x37a
70b04, 0x3714b3c0, 0xa5d10529, 0x4f542f64), Nothing}, RuntimeGeneratedFunct
ions.RuntimeGeneratedFunction{(:__argₛᵧₘ1401282876548370056, :___mtkunknown
s___, :___mtkparameters___, :__argₛᵧₘ9671596506859111994), MethodOfLines.va
r"#_RGF_ModTag", MethodOfLines.var"#_RGF_ModTag", (0x07a5d224, 0xe4e8445b, 
0x5696b5fd, 0x3743e109, 0x9bf90232), Nothing}}, LinearAlgebra.UniformScalin
g{Bool}, MethodOfLines.var"#73#81"{Vector{MethodOfLines.var"#71#79"{Vector{
Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg
#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", Mod
elingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x
36f76a81, 0x1c55a673), Nothing}}}}, Nothing, Nothing, Nothing, Nothing, Not
hing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit
Base.ObservedFunctionCache{ModelingToolkitBase.System, Nothing}, Nothing, M
odelingToolkitBase.System, Union{Nothing, SciMLBase.OverrideInitData}, Unio
n{Nothing, SciMLBase.ODENLStepData}}, Base.Pairs{Symbol, Union{}, Tuple{}, 
@NamedTuple{}}, SciMLBase.StandardODEProblem}(SciMLBase.ODEFunction{true, S
ciMLBase.AutoDespecialize, ModelingToolkitBase.GeneratedFunctionWrapper{Tup
le{2, 3, true}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:___mtk
unknowns___, :___mtkparameters___, :__argₛᵧₘ9671596506859111994), MethodOfL
ines.var"#_RGF_ModTag", MethodOfLines.var"#_RGF_ModTag", (0x1faf51c5, 0x37a
70b04, 0x3714b3c0, 0xa5d10529, 0x4f542f64), Nothing}, RuntimeGeneratedFunct
ions.RuntimeGeneratedFunction{(:__argₛᵧₘ1401282876548370056, :___mtkunknown
s___, :___mtkparameters___, :__argₛᵧₘ9671596506859111994), MethodOfLines.va
r"#_RGF_ModTag", MethodOfLines.var"#_RGF_ModTag", (0x07a5d224, 0xe4e8445b, 
0x5696b5fd, 0x3743e109, 0x9bf90232), Nothing}}, LinearAlgebra.UniformScalin
g{Bool}, MethodOfLines.var"#73#81"{Vector{MethodOfLines.var"#71#79"{Vector{
Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg
#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", Mod
elingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x
36f76a81, 0x1c55a673), Nothing}}}}, Nothing, Nothing, Nothing, Nothing, Not
hing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit
Base.ObservedFunctionCache{ModelingToolkitBase.System, Nothing}, Nothing, M
odelingToolkitBase.System, Union{Nothing, SciMLBase.OverrideInitData}, Unio
n{Nothing, SciMLBase.ODENLStepData}}(ModelingToolkitBase.GeneratedFunctionW
rapper{Tuple{2, 3, true}, RuntimeGeneratedFunctions.RuntimeGeneratedFunctio
n{(:___mtkunknowns___, :___mtkparameters___, :__argₛᵧₘ9671596506859111994),
 MethodOfLines.var"#_RGF_ModTag", MethodOfLines.var"#_RGF_ModTag", (0x1faf5
1c5, 0x37a70b04, 0x3714b3c0, 0xa5d10529, 0x4f542f64), Nothing}, RuntimeGene
ratedFunctions.RuntimeGeneratedFunction{(:__argₛᵧₘ1401282876548370056, :___
mtkunknowns___, :___mtkparameters___, :__argₛᵧₘ9671596506859111994), Method
OfLines.var"#_RGF_ModTag", MethodOfLines.var"#_RGF_ModTag", (0x07a5d224, 0x
e4e8445b, 0x5696b5fd, 0x3743e109, 0x9bf90232), Nothing}}(RuntimeGeneratedFu
nctions.RuntimeGeneratedFunction{(:___mtkunknowns___, :___mtkparameters___,
 :__argₛᵧₘ9671596506859111994), MethodOfLines.var"#_RGF_ModTag", MethodOfLi
nes.var"#_RGF_ModTag", (0x1faf51c5, 0x37a70b04, 0x3714b3c0, 0xa5d10529, 0x4
f542f64), Nothing}(nothing), RuntimeGeneratedFunctions.RuntimeGeneratedFunc
tion{(:__argₛᵧₘ1401282876548370056, :___mtkunknowns___, :___mtkparameters__
_, :__argₛᵧₘ9671596506859111994), MethodOfLines.var"#_RGF_ModTag", MethodOf
Lines.var"#_RGF_ModTag", (0x07a5d224, 0xe4e8445b, 0x5696b5fd, 0x3743e109, 0
x9bf90232), Nothing}(nothing)), LinearAlgebra.UniformScaling{Bool}(true), M
ethodOfLines.var"#73#81"{Vector{MethodOfLines.var"#71#79"{Vector{Float64}, 
RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#596480516
0111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolk
itBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 
0x1c55a673), Nothing}}}}(MethodOfLines.var"#71#79"{Vector{Float64}, Runtime
GeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424
296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.
var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a
673), Nothing}}[MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGenerated
Functions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t
, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF
_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Not
hing}}([0.9938441702975689], RuntimeGeneratedFunctions.RuntimeGeneratedFunc
tion{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var
"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999
b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), MethodOfLines
.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFun
ction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.va
r"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e99
9b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.9829629131445341], 
RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#596480516
0111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolk
itBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 
0x1c55a673), Nothing}(nothing)), MethodOfLines.var"#71#79"{Vector{Float64},
 RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#59648051
60111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingTool
kitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81,
 0x1c55a673), Nothing}}([0.9667902132486008], RuntimeGeneratedFunctions.Run
timeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), Modeli
ngToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0x
c731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing
)), MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.Ru
ntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), Model
ingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0
xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.94
55032620941839], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol
("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTa
g", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414c
ef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), MethodOfLines.var"#71#79"
{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbo
l("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModT
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cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.919335283972712], RuntimeGenera
tedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"),
 :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_
RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), 
Nothing}(nothing)), MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGener
atedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296")
, :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#
_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673),
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Function{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase
.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1
e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), MethodOfL
ines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGenerate
dFunction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBas
e.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x
1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.853553390593273
7], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#59648
05160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingT
oolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a
81, 0x1c55a673), Nothing}(nothing)), MethodOfLines.var"#71#79"{Vector{Float
64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964
805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", Modeling
ToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76
a81, 0x1c55a673), Nothing}}([0.8146601955249188], RuntimeGeneratedFunctions
.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), Mo
delingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag",
 (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(not
hing)), MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunction
s.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), M
odelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag"
, (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([
0.7723195175075135], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Sy
mbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_M
odTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6
414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), MethodOfLines.var"#71
#79"{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(S
ymbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_
ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x
6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.7269952498697734], RuntimeG
eneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#59648051601114242
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ar"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a6
73), Nothing}(nothing))  …  MethodOfLines.var"#71#79"{Vector{Float64}, Runt
imeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111
424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBa
se.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c
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GeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingTo
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MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.Runtim
eGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingT
oolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc73
1b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.227680
48249248646], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("#
#arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag",
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ctor{Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("
##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag"
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edFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), 
:t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_R
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othing}(nothing)), MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGenera
tedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"),
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Nothing}}([0.1464466094067262], RuntimeGeneratedFunctions.RuntimeGeneratedF
unction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.
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999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), MethodOfLi
nes.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGenerated
Function{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase
.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1
e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.1114270192715145
5], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#59648
05160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingT
oolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a
81, 0x1c55a673), Nothing}(nothing)), MethodOfLines.var"#71#79"{Vector{Float
64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964
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ToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76
a81, 0x1c55a673), Nothing}}([0.08066471602728797], RuntimeGeneratedFunction
s.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), M
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, (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(no
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ns.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), 
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[0.054496737905816106], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{
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imeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111
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se.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c
55a673), Nothing}(nothing)), MethodOfLines.var"#71#79"{Vector{Float64}, Run
timeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#596480516011
1424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitB
ase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1
c55a673), Nothing}}([0.017037086855465844], RuntimeGeneratedFunctions.Runti
meGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), Modeling
ToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc7
31b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing))
, MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.Runt
imeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), Modelin
gToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc
731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.0061
5582970243117], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol(
"##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag
", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414ce
f2, 0x36f76a81, 0x1c55a673), Nothing}(nothing))]), nothing, nothing, nothin
g, nothing, nothing, nothing, nothing, nothing, nothing, nothing, nothing, 
ModelingToolkitBase.ObservedFunctionCache{ModelingToolkitBase.System, Nothi
ng}(Model pdesys1:
Equations (28):
  28 standard: see equations(pdesys1)
Unknowns (28): see unknowns(pdesys1)
  (u(t))[29]
  (u(t))[28]
  (u(t))[27]
  (u(t))[26]
  ⋮
Observed (3): see observed(pdesys1), Dict{Any, Any}(), false, false, Method
OfLines, false, nothing), nothing, Model pdesys1:
Equations (28):
  28 standard: see equations(pdesys1)
Unknowns (28): see unknowns(pdesys1)
  (u(t))[29]
  (u(t))[28]
  (u(t))[27]
  (u(t))[26]
  ⋮
Observed (3): see observed(pdesys1), nothing, nothing), [0.9938441702975689
, 0.9829629131445341, 0.9667902132486008, 0.9455032620941839, 0.91933528397
2712, 0.8885729807284855, 0.8535533905932737, 0.8146601955249188, 0.7723195
175075135, 0.7269952498697734  …  0.27300475013022657, 0.22768048249248646,
 0.18533980447508125, 0.1464466094067262, 0.11142701927151455, 0.0806647160
2728797, 0.054496737905816106, 0.03320978675139913, 0.017037086855465844, 0
.00615582970243117], (0.0, 20.0), ModelingToolkitBase.MTKParameters{StaticA
rraysCore.SVector{0, Float64}, Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, 
Tuple{}}(Float64[], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0
.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], (), (), (), ()), Base.Pai
rs{Symbol, Union{}, Tuple{}, @NamedTuple{}}(), SciMLBase.StandardODEProblem
())
 SciMLBase.ODEProblem{Vector{Float64}, Tuple{Float64, Float64}, true, Model
ingToolkitBase.MTKParameters{StaticArraysCore.SVector{0, Float64}, Vector{F
loat64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, SciMLBase.ODEFunction{true, S
ciMLBase.AutoDespecialize, ModelingToolkitBase.GeneratedFunctionWrapper{Tup
le{2, 3, true}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:___mtk
unknowns___, :___mtkparameters___, :__argₛᵧₘ9671596506859111994), MethodOfL
ines.var"#_RGF_ModTag", MethodOfLines.var"#_RGF_ModTag", (0x977658a1, 0x58f
ee92b, 0xdc4e3bb9, 0x51460bec, 0x6dd8fc9b), Nothing}, RuntimeGeneratedFunct
ions.RuntimeGeneratedFunction{(:__argₛᵧₘ1401282876548370056, :___mtkunknown
s___, :___mtkparameters___, :__argₛᵧₘ9671596506859111994), MethodOfLines.va
r"#_RGF_ModTag", MethodOfLines.var"#_RGF_ModTag", (0x3ff5e1f2, 0xd90c91a0, 
0xd909cf25, 0xfedd8e1b, 0xc982d4ca), Nothing}}, LinearAlgebra.UniformScalin
g{Bool}, MethodOfLines.var"#73#81"{Vector{MethodOfLines.var"#71#79"{Vector{
Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg
#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", Mod
elingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x
36f76a81, 0x1c55a673), Nothing}}}}, Nothing, Nothing, Nothing, Nothing, Not
hing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit
Base.ObservedFunctionCache{ModelingToolkitBase.System, Nothing}, Nothing, M
odelingToolkitBase.System, Union{Nothing, SciMLBase.OverrideInitData}, Unio
n{Nothing, SciMLBase.ODENLStepData}}, Base.Pairs{Symbol, Union{}, Tuple{}, 
@NamedTuple{}}, SciMLBase.StandardODEProblem}(SciMLBase.ODEFunction{true, S
ciMLBase.AutoDespecialize, ModelingToolkitBase.GeneratedFunctionWrapper{Tup
le{2, 3, true}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:___mtk
unknowns___, :___mtkparameters___, :__argₛᵧₘ9671596506859111994), MethodOfL
ines.var"#_RGF_ModTag", MethodOfLines.var"#_RGF_ModTag", (0x977658a1, 0x58f
ee92b, 0xdc4e3bb9, 0x51460bec, 0x6dd8fc9b), Nothing}, RuntimeGeneratedFunct
ions.RuntimeGeneratedFunction{(:__argₛᵧₘ1401282876548370056, :___mtkunknown
s___, :___mtkparameters___, :__argₛᵧₘ9671596506859111994), MethodOfLines.va
r"#_RGF_ModTag", MethodOfLines.var"#_RGF_ModTag", (0x3ff5e1f2, 0xd90c91a0, 
0xd909cf25, 0xfedd8e1b, 0xc982d4ca), Nothing}}, LinearAlgebra.UniformScalin
g{Bool}, MethodOfLines.var"#73#81"{Vector{MethodOfLines.var"#71#79"{Vector{
Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg
#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", Mod
elingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x
36f76a81, 0x1c55a673), Nothing}}}}, Nothing, Nothing, Nothing, Nothing, Not
hing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit
Base.ObservedFunctionCache{ModelingToolkitBase.System, Nothing}, Nothing, M
odelingToolkitBase.System, Union{Nothing, SciMLBase.OverrideInitData}, Unio
n{Nothing, SciMLBase.ODENLStepData}}(ModelingToolkitBase.GeneratedFunctionW
rapper{Tuple{2, 3, true}, RuntimeGeneratedFunctions.RuntimeGeneratedFunctio
n{(:___mtkunknowns___, :___mtkparameters___, :__argₛᵧₘ9671596506859111994),
 MethodOfLines.var"#_RGF_ModTag", MethodOfLines.var"#_RGF_ModTag", (0x97765
8a1, 0x58fee92b, 0xdc4e3bb9, 0x51460bec, 0x6dd8fc9b), Nothing}, RuntimeGene
ratedFunctions.RuntimeGeneratedFunction{(:__argₛᵧₘ1401282876548370056, :___
mtkunknowns___, :___mtkparameters___, :__argₛᵧₘ9671596506859111994), Method
OfLines.var"#_RGF_ModTag", MethodOfLines.var"#_RGF_ModTag", (0x3ff5e1f2, 0x
d90c91a0, 0xd909cf25, 0xfedd8e1b, 0xc982d4ca), Nothing}}(RuntimeGeneratedFu
nctions.RuntimeGeneratedFunction{(:___mtkunknowns___, :___mtkparameters___,
 :__argₛᵧₘ9671596506859111994), MethodOfLines.var"#_RGF_ModTag", MethodOfLi
nes.var"#_RGF_ModTag", (0x977658a1, 0x58fee92b, 0xdc4e3bb9, 0x51460bec, 0x6
dd8fc9b), Nothing}(nothing), RuntimeGeneratedFunctions.RuntimeGeneratedFunc
tion{(:__argₛᵧₘ1401282876548370056, :___mtkunknowns___, :___mtkparameters__
_, :__argₛᵧₘ9671596506859111994), MethodOfLines.var"#_RGF_ModTag", MethodOf
Lines.var"#_RGF_ModTag", (0x3ff5e1f2, 0xd90c91a0, 0xd909cf25, 0xfedd8e1b, 0
xc982d4ca), Nothing}(nothing)), LinearAlgebra.UniformScaling{Bool}(true), M
ethodOfLines.var"#73#81"{Vector{MethodOfLines.var"#71#79"{Vector{Float64}, 
RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#596480516
0111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolk
itBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 
0x1c55a673), Nothing}}}}(MethodOfLines.var"#71#79"{Vector{Float64}, Runtime
GeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424
296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.
var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a
673), Nothing}}[MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGenerated
Functions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t
, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF
_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Not
hing}}([0.9967066306353816], RuntimeGeneratedFunctions.RuntimeGeneratedFunc
tion{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var
"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999
b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), MethodOfLines
.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFun
ction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.va
r"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e99
9b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.9875941287651873], 
RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#596480516
0111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolk
itBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 
0x1c55a673), Nothing}(nothing)), MethodOfLines.var"#71#79"{Vector{Float64},
 RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#59648051
60111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingTool
kitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81,
 0x1c55a673), Nothing}}([0.9731316780840036], RuntimeGeneratedFunctions.Run
timeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), Modeli
ngToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0x
c731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing
)), MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.Ru
ntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), Model
ingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0
xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.95
31221910657036], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol
("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTa
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ef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), MethodOfLines.var"#71#79"
{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbo
l("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModT
ag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414
cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.9278002606507284], RuntimeGener
atedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296")
, :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#
_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673),
 Nothing}(nothing)), MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGene
ratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"
), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"
#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673)
, Nothing}}([0.8974627633211318], RuntimeGeneratedFunctions.RuntimeGenerate
dFunction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBas
e.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x
1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), MethodOf
Lines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGenerat
edFunction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBa
se.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0
x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.86246537849526
5], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#59648
05160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingT
oolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a
81, 0x1c55a673), Nothing}(nothing)), MethodOfLines.var"#71#79"{Vector{Float
64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964
805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", Modeling
ToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76
a81, 0x1c55a673), Nothing}}([0.8232184185117971], RuntimeGeneratedFunctions
.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), Mo
delingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag",
 (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(not
hing)), MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunction
s.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), M
odelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag"
, (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([
0.7801820180926968], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Sy
mbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_M
odTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6
414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), MethodOfLines.var"#71
#79"{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(S
ymbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_
ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x
6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.7338607396843215], RuntimeG
eneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#59648051601114242
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ar"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a6
73), Nothing}(nothing))  …  MethodOfLines.var"#71#79"{Vector{Float64}, Runt
imeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111
424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBa
se.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c
55a673), Nothing}}([0.26613926031567836], RuntimeGeneratedFunctions.Runtime
GeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingTo
olkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731
b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), 
MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.Runtim
eGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingT
oolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc73
1b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.219817
98190730328], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("#
#arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag",
 ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2
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ctor{Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("
##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag"
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edFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), 
:t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_R
GF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), N
othing}(nothing)), MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGenera
tedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"),
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Function{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase
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e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), MethodOfL
ines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGenerate
dFunction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBas
e.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x
1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.102537236678868
27], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964
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a81, 0x1c55a673), Nothing}(nothing)), MethodOfLines.var"#71#79"{Vector{Floa
t64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#596
4805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", Modelin
gToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f7
6a81, 0x1c55a673), Nothing}}([0.07219973934927165], RuntimeGeneratedFunctio
ns.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), 
ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag
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([0.04687780893429641], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{
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timeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#596480516011
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c55a673), Nothing}}([0.01240587123481271], RuntimeGeneratedFunctions.Runtim
eGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingT
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 MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.Runti
meGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), Modeling
ToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc7
31b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.00329
33693646184647], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol
("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTa
g", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414c
ef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing))]), nothing, nothing, nothi
ng, nothing, nothing, nothing, nothing, nothing, nothing, nothing, nothing,
 ModelingToolkitBase.ObservedFunctionCache{ModelingToolkitBase.System, Noth
ing}(Model pdesys1:
Equations (28):
  28 standard: see equations(pdesys1)
Unknowns (28): see unknowns(pdesys1)
  (u(t))[29]
  (u(t))[28]
  (u(t))[27]
  (u(t))[26]
  ⋮
Observed (3): see observed(pdesys1), Dict{Any, Any}(), false, false, Method
OfLines, false, nothing), nothing, Model pdesys1:
Equations (28):
  28 standard: see equations(pdesys1)
Unknowns (28): see unknowns(pdesys1)
  (u(t))[29]
  (u(t))[28]
  (u(t))[27]
  (u(t))[26]
  ⋮
Observed (3): see observed(pdesys1), nothing, nothing), [0.9967066306353816
, 0.9875941287651873, 0.9731316780840036, 0.9531221910657036, 0.92780026065
07284, 0.8974627633211318, 0.862465378495265, 0.8232184185117971, 0.7801820
180926968, 0.7338607396843215  …  0.26613926031567836, 0.21981798190730328,
 0.17678158148820286, 0.13753462150473503, 0.10253723667886827, 0.072199739
34927165, 0.04687780893429641, 0.02686832191599639, 0.01240587123481271, 0.
0032933693646184647], (0.0, 20.0), ModelingToolkitBase.MTKParameters{Static
ArraysCore.SVector{0, Float64}, Vector{Float64}, Tuple{}, Tuple{}, Tuple{},
 Tuple{}}(Float64[], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  
0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], (), (), (), ()), Base.Pa
irs{Symbol, Union{}, Tuple{}, @NamedTuple{}}(), SciMLBase.StandardODEProble
m())
 SciMLBase.ODEProblem{Vector{Float64}, Tuple{Float64, Float64}, true, Model
ingToolkitBase.MTKParameters{StaticArraysCore.SVector{0, Float64}, Vector{F
loat64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, SciMLBase.ODEFunction{true, S
ciMLBase.AutoDespecialize, ModelingToolkitBase.GeneratedFunctionWrapper{Tup
le{2, 3, true}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:___mtk
unknowns___, :___mtkparameters___, :__argₛᵧₘ9671596506859111994), MethodOfL
ines.var"#_RGF_ModTag", MethodOfLines.var"#_RGF_ModTag", (0x34c88b04, 0x1c2
6062c, 0x33c3ab91, 0xe52d1dfd, 0xd5445186), Nothing}, RuntimeGeneratedFunct
ions.RuntimeGeneratedFunction{(:__argₛᵧₘ1401282876548370056, :___mtkunknown
s___, :___mtkparameters___, :__argₛᵧₘ9671596506859111994), MethodOfLines.va
r"#_RGF_ModTag", MethodOfLines.var"#_RGF_ModTag", (0x195a8c3d, 0xdf54b0ed, 
0xf3db185b, 0xa3584a0d, 0xd91c20cc), Nothing}}, LinearAlgebra.UniformScalin
g{Bool}, MethodOfLines.var"#73#81"{Vector{MethodOfLines.var"#71#79"{Vector{
Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg
#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", Mod
elingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x
36f76a81, 0x1c55a673), Nothing}}}}, Nothing, Nothing, Nothing, Nothing, Not
hing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit
Base.ObservedFunctionCache{ModelingToolkitBase.System, Nothing}, Nothing, M
odelingToolkitBase.System, Union{Nothing, SciMLBase.OverrideInitData}, Unio
n{Nothing, SciMLBase.ODENLStepData}}, Base.Pairs{Symbol, Union{}, Tuple{}, 
@NamedTuple{}}, SciMLBase.StandardODEProblem}(SciMLBase.ODEFunction{true, S
ciMLBase.AutoDespecialize, ModelingToolkitBase.GeneratedFunctionWrapper{Tup
le{2, 3, true}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:___mtk
unknowns___, :___mtkparameters___, :__argₛᵧₘ9671596506859111994), MethodOfL
ines.var"#_RGF_ModTag", MethodOfLines.var"#_RGF_ModTag", (0x34c88b04, 0x1c2
6062c, 0x33c3ab91, 0xe52d1dfd, 0xd5445186), Nothing}, RuntimeGeneratedFunct
ions.RuntimeGeneratedFunction{(:__argₛᵧₘ1401282876548370056, :___mtkunknown
s___, :___mtkparameters___, :__argₛᵧₘ9671596506859111994), MethodOfLines.va
r"#_RGF_ModTag", MethodOfLines.var"#_RGF_ModTag", (0x195a8c3d, 0xdf54b0ed, 
0xf3db185b, 0xa3584a0d, 0xd91c20cc), Nothing}}, LinearAlgebra.UniformScalin
g{Bool}, MethodOfLines.var"#73#81"{Vector{MethodOfLines.var"#71#79"{Vector{
Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg
#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", Mod
elingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x
36f76a81, 0x1c55a673), Nothing}}}}, Nothing, Nothing, Nothing, Nothing, Not
hing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit
Base.ObservedFunctionCache{ModelingToolkitBase.System, Nothing}, Nothing, M
odelingToolkitBase.System, Union{Nothing, SciMLBase.OverrideInitData}, Unio
n{Nothing, SciMLBase.ODENLStepData}}(ModelingToolkitBase.GeneratedFunctionW
rapper{Tuple{2, 3, true}, RuntimeGeneratedFunctions.RuntimeGeneratedFunctio
n{(:___mtkunknowns___, :___mtkparameters___, :__argₛᵧₘ9671596506859111994),
 MethodOfLines.var"#_RGF_ModTag", MethodOfLines.var"#_RGF_ModTag", (0x34c88
b04, 0x1c26062c, 0x33c3ab91, 0xe52d1dfd, 0xd5445186), Nothing}, RuntimeGene
ratedFunctions.RuntimeGeneratedFunction{(:__argₛᵧₘ1401282876548370056, :___
mtkunknowns___, :___mtkparameters___, :__argₛᵧₘ9671596506859111994), Method
OfLines.var"#_RGF_ModTag", MethodOfLines.var"#_RGF_ModTag", (0x195a8c3d, 0x
df54b0ed, 0xf3db185b, 0xa3584a0d, 0xd91c20cc), Nothing}}(RuntimeGeneratedFu
nctions.RuntimeGeneratedFunction{(:___mtkunknowns___, :___mtkparameters___,
 :__argₛᵧₘ9671596506859111994), MethodOfLines.var"#_RGF_ModTag", MethodOfLi
nes.var"#_RGF_ModTag", (0x34c88b04, 0x1c26062c, 0x33c3ab91, 0xe52d1dfd, 0xd
5445186), Nothing}(nothing), RuntimeGeneratedFunctions.RuntimeGeneratedFunc
tion{(:__argₛᵧₘ1401282876548370056, :___mtkunknowns___, :___mtkparameters__
_, :__argₛᵧₘ9671596506859111994), MethodOfLines.var"#_RGF_ModTag", MethodOf
Lines.var"#_RGF_ModTag", (0x195a8c3d, 0xdf54b0ed, 0xf3db185b, 0xa3584a0d, 0
xd91c20cc), Nothing}(nothing)), LinearAlgebra.UniformScaling{Bool}(true), M
ethodOfLines.var"#73#81"{Vector{MethodOfLines.var"#71#79"{Vector{Float64}, 
RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#596480516
0111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolk
itBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 
0x1c55a673), Nothing}}}}(MethodOfLines.var"#71#79"{Vector{Float64}, Runtime
GeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424
296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.
var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a
673), Nothing}}[MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGenerated
Functions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t
, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF
_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Not
hing}}([0.9310344827586207], RuntimeGeneratedFunctions.RuntimeGeneratedFunc
tion{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var
"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999
b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), MethodOfLines
.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFun
ction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.va
r"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e99
9b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.896551724137931], R
untimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160
111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolki
tBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0
x1c55a673), Nothing}(nothing)), MethodOfLines.var"#71#79"{Vector{Float64}, 
RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#596480516
0111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolk
itBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 
0x1c55a673), Nothing}}([0.8620689655172413], RuntimeGeneratedFunctions.Runt
imeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), Modelin
gToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc
731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)
), MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.Run
timeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), Modeli
ngToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0x
c731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.827
5862068965517], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol(
"##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag
", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414ce
f2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), MethodOfLines.var"#71#79"{
Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol
("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTa
g", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414c
ef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.7931034482758621], RuntimeGenera
tedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"),
 :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_
RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), 
Nothing}(nothing)), MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGener
atedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296")
, :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#
_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673),
 Nothing}}([0.7586206896551724], RuntimeGeneratedFunctions.RuntimeGenerated
Function{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase
.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1
e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), MethodOfL
ines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGenerate
dFunction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBas
e.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x
1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.724137931034482
8], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#59648
05160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingT
oolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a
81, 0x1c55a673), Nothing}(nothing)), MethodOfLines.var"#71#79"{Vector{Float
64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964
805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", Modeling
ToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76
a81, 0x1c55a673), Nothing}}([0.6896551724137931], RuntimeGeneratedFunctions
.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), Mo
delingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag",
 (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(not
hing)), MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunction
s.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), M
odelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag"
, (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([
0.6551724137931034], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Sy
mbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_M
odTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6
414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), MethodOfLines.var"#71
#79"{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(S
ymbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_
ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x
6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.6206896551724138], RuntimeG
eneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#59648051601114242
96"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.v
ar"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a6
73), Nothing}(nothing))  …  MethodOfLines.var"#71#79"{Vector{Float64}, Runt
imeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111
424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBa
se.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c
55a673), Nothing}}([0.3793103448275862], RuntimeGeneratedFunctions.RuntimeG
eneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToo
lkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b
114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), M
ethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.Runtime
GeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingTo
olkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731
b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.3448275
862068966], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##a
rg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", M
odelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 
0x36f76a81, 0x1c55a673), Nothing}(nothing)), MethodOfLines.var"#71#79"{Vect
or{Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##
arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", 
ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2,
 0x36f76a81, 0x1c55a673), Nothing}}([0.3103448275862069], RuntimeGeneratedF
unctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t,
 :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_
ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Noth
ing}(nothing)), MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGenerated
Functions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t
, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF
_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Not
hing}}([0.27586206896551724], RuntimeGeneratedFunctions.RuntimeGeneratedFun
ction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.va
r"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e99
9b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), MethodOfLine
s.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFu
nction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.v
ar"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e9
99b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.2413793103448276],
 RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#59648051
60111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingTool
kitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81,
 0x1c55a673), Nothing}(nothing)), MethodOfLines.var"#71#79"{Vector{Float64}
, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805
160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToo
lkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81
, 0x1c55a673), Nothing}}([0.20689655172413793], RuntimeGeneratedFunctions.R
untimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), Mode
lingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (
0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothi
ng)), MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.
RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), Mod
elingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", 
(0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.
1724137931034483], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symb
ol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_Mod
Tag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x641
4cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), MethodOfLines.var"#71#7
9"{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Sym
bol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_Mo
dTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x64
14cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.13793103448275862], RuntimeGe
neratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#596480516011142429
6"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.va
r"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a67
3), Nothing}(nothing)), MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeG
eneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#59648051601114242
96"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.v
ar"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a6
73), Nothing}}([0.10344827586206896], RuntimeGeneratedFunctions.RuntimeGene
ratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolki
tBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114
, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), Meth
odOfLines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGen
eratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolk
itBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b11
4, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.0689655172
4137931], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg
#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", Mod
elingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x
36f76a81, 0x1c55a673), Nothing}(nothing))]), nothing, nothing, nothing, not
hing, nothing, nothing, nothing, nothing, nothing, nothing, nothing, Modeli
ngToolkitBase.ObservedFunctionCache{ModelingToolkitBase.System, Nothing}(Mo
del pdesys1:
Equations (26):
  26 standard: see equations(pdesys1)
Unknowns (26): see unknowns(pdesys1)
  (u(t))[28]
  (u(t))[27]
  (u(t))[26]
  (u(t))[25]
  ⋮
Observed (5): see observed(pdesys1), Dict{Any, Any}(), false, false, Method
OfLines, false, nothing), nothing, Model pdesys1:
Equations (26):
  26 standard: see equations(pdesys1)
Unknowns (26): see unknowns(pdesys1)
  (u(t))[28]
  (u(t))[27]
  (u(t))[26]
  (u(t))[25]
  ⋮
Observed (5): see observed(pdesys1), nothing, nothing), [0.9310344827586207
, 0.896551724137931, 0.8620689655172413, 0.8275862068965517, 0.793103448275
8621, 0.7586206896551724, 0.7241379310344828, 0.6896551724137931, 0.6551724
137931034, 0.6206896551724138  …  0.3793103448275862, 0.3448275862068966, 0
.3103448275862069, 0.27586206896551724, 0.2413793103448276, 0.2068965517241
3793, 0.1724137931034483, 0.13793103448275862, 0.10344827586206896, 0.06896
551724137931], (0.0, 20.0), ModelingToolkitBase.MTKParameters{StaticArraysC
ore.SVector{0, Float64}, Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tuple{
}}(Float64[], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.
0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], (), (), (), ()), Base.Pairs{Sym
bol, Union{}, Tuple{}, @NamedTuple{}}(), SciMLBase.StandardODEProblem())
 SciMLBase.ODEProblem{Vector{Float64}, Tuple{Float64, Float64}, true, Model
ingToolkitBase.MTKParameters{StaticArraysCore.SVector{0, Float64}, Vector{F
loat64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, SciMLBase.ODEFunction{true, S
ciMLBase.AutoDespecialize, ModelingToolkitBase.GeneratedFunctionWrapper{Tup
le{2, 3, true}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:___mtk
unknowns___, :___mtkparameters___, :__argₛᵧₘ9671596506859111994), MethodOfL
ines.var"#_RGF_ModTag", MethodOfLines.var"#_RGF_ModTag", (0xd46f0f8d, 0xf1a
c4dee, 0xe650d42e, 0xff6fcfae, 0xcc625dab), Nothing}, RuntimeGeneratedFunct
ions.RuntimeGeneratedFunction{(:__argₛᵧₘ1401282876548370056, :___mtkunknown
s___, :___mtkparameters___, :__argₛᵧₘ9671596506859111994), MethodOfLines.va
r"#_RGF_ModTag", MethodOfLines.var"#_RGF_ModTag", (0xf36df8c9, 0xeb5cabd4, 
0x84eb75ca, 0xb1fb0dc4, 0x45157073), Nothing}}, LinearAlgebra.Diagonal{Floa
t64, Vector{Float64}}, MethodOfLines.var"#73#81"{Vector{MethodOfLines.var"#
71#79"{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{
(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RG
F_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 
0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}}}, Nothing, Nothing, Nothing
, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, M
odelingToolkitBase.ObservedFunctionCache{ModelingToolkitBase.System, Nothin
g}, Nothing, ModelingToolkitBase.System, Union{Nothing, SciMLBase.OverrideI
nitData}, Union{Nothing, SciMLBase.ODENLStepData}}, Base.Pairs{Symbol, Unio
n{}, Tuple{}, @NamedTuple{}}, SciMLBase.StandardODEProblem}(SciMLBase.ODEFu
nction{true, SciMLBase.AutoDespecialize, ModelingToolkitBase.GeneratedFunct
ionWrapper{Tuple{2, 3, true}, RuntimeGeneratedFunctions.RuntimeGeneratedFun
ction{(:___mtkunknowns___, :___mtkparameters___, :__argₛᵧₘ96715965068591119
94), MethodOfLines.var"#_RGF_ModTag", MethodOfLines.var"#_RGF_ModTag", (0xd
46f0f8d, 0xf1ac4dee, 0xe650d42e, 0xff6fcfae, 0xcc625dab), Nothing}, Runtime
GeneratedFunctions.RuntimeGeneratedFunction{(:__argₛᵧₘ1401282876548370056, 
:___mtkunknowns___, :___mtkparameters___, :__argₛᵧₘ9671596506859111994), Me
thodOfLines.var"#_RGF_ModTag", MethodOfLines.var"#_RGF_ModTag", (0xf36df8c9
, 0xeb5cabd4, 0x84eb75ca, 0xb1fb0dc4, 0x45157073), Nothing}}, LinearAlgebra
.Diagonal{Float64, Vector{Float64}}, MethodOfLines.var"#73#81"{Vector{Metho
dOfLines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGene
ratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolki
tBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114
, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}}}, Nothing, No
thing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothi
ng, Nothing, ModelingToolkitBase.ObservedFunctionCache{ModelingToolkitBase.
System, Nothing}, Nothing, ModelingToolkitBase.System, Union{Nothing, SciML
Base.OverrideInitData}, Union{Nothing, SciMLBase.ODENLStepData}}(ModelingTo
olkitBase.GeneratedFunctionWrapper{Tuple{2, 3, true}, RuntimeGeneratedFunct
ions.RuntimeGeneratedFunction{(:___mtkunknowns___, :___mtkparameters___, :_
_argₛᵧₘ9671596506859111994), MethodOfLines.var"#_RGF_ModTag", MethodOfLines
.var"#_RGF_ModTag", (0xd46f0f8d, 0xf1ac4dee, 0xe650d42e, 0xff6fcfae, 0xcc62
5dab), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:__arg
ₛᵧₘ1401282876548370056, :___mtkunknowns___, :___mtkparameters___, :__argₛᵧₘ
9671596506859111994), MethodOfLines.var"#_RGF_ModTag", MethodOfLines.var"#_
RGF_ModTag", (0xf36df8c9, 0xeb5cabd4, 0x84eb75ca, 0xb1fb0dc4, 0x45157073), 
Nothing}}(RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:___mtkunknow
ns___, :___mtkparameters___, :__argₛᵧₘ9671596506859111994), MethodOfLines.v
ar"#_RGF_ModTag", MethodOfLines.var"#_RGF_ModTag", (0xd46f0f8d, 0xf1ac4dee,
 0xe650d42e, 0xff6fcfae, 0xcc625dab), Nothing}(nothing), RuntimeGeneratedFu
nctions.RuntimeGeneratedFunction{(:__argₛᵧₘ1401282876548370056, :___mtkunkn
owns___, :___mtkparameters___, :__argₛᵧₘ9671596506859111994), MethodOfLines
.var"#_RGF_ModTag", MethodOfLines.var"#_RGF_ModTag", (0xf36df8c9, 0xeb5cabd
4, 0x84eb75ca, 0xb1fb0dc4, 0x45157073), Nothing}(nothing)), [1.0 0.0 … 0.0 
0.0; 0.0 1.0 … 0.0 0.0; … ; 0.0 0.0 … 1.0 0.0; 0.0 0.0 … 0.0 0.0], MethodOf
Lines.var"#73#81"{Vector{MethodOfLines.var"#71#79"{Vector{Float64}, Runtime
GeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424
296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.
var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a
673), Nothing}}}}(MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGenerat
edFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), 
:t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_R
GF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), N
othing}}[MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctio
ns.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), 
ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag
", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}(
[0.9482758620689655], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(S
ymbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_
ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x
6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), MethodOfLines.var"#7
1#79"{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(
Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF
_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0
x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.9137931034482759], Runtime
GeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424
296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.
var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a
673), Nothing}(nothing)), MethodOfLines.var"#71#79"{Vector{Float64}, Runtim
eGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#596480516011142
4296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase
.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55
a673), Nothing}}([0.8793103448275862], RuntimeGeneratedFunctions.RuntimeGen
eratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolk
itBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b11
4, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), Met
hodOfLines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGe
neratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingTool
kitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b1
14, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.844827586
2068966], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg
#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", Mod
elingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x
36f76a81, 0x1c55a673), Nothing}(nothing)), MethodOfLines.var"#71#79"{Vector
{Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##ar
g#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", Mo
delingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0
x36f76a81, 0x1c55a673), Nothing}}([0.9827586206896551], RuntimeGeneratedFun
ctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :
x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_Mo
dTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothin
g}(nothing)), MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFu
nctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, 
:x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_M
odTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothi
ng}}([0.8103448275862069], RuntimeGeneratedFunctions.RuntimeGeneratedFuncti
on{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#
_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b4
0, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), MethodOfLines.v
ar"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunct
ion{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"
#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b
40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.7758620689655172], Ru
ntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#59648051601
11424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkit
Base.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x
1c55a673), Nothing}(nothing)), MethodOfLines.var"#71#79"{Vector{Float64}, R
untimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160
111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolki
tBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0
x1c55a673), Nothing}}([0.7413793103448276], RuntimeGeneratedFunctions.Runti
meGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), Modeling
ToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc7
31b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing))
, MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.Runt
imeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), Modelin
gToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc
731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.7068
965517241379], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("
##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag"
, ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef
2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), MethodOfLines.var"#71#79"{V
ector{Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol(
"##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag
", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414ce
f2, 0x36f76a81, 0x1c55a673), Nothing}}([0.6724137931034483], RuntimeGenerat
edFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), 
:t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_R
GF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), N
othing}(nothing))  …  MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGen
eratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296
"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var
"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673
), Nothing}}([0.3275862068965517], RuntimeGeneratedFunctions.RuntimeGenerat
edFunction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBa
se.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0
x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), MethodO
fLines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGenera
tedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitB
ase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 
0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.2931034482758
6204], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#59
64805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", Modeli
ngToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f
76a81, 0x1c55a673), Nothing}(nothing)), MethodOfLines.var"#71#79"{Vector{Fl
oat64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5
964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", Model
ingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36
f76a81, 0x1c55a673), Nothing}}([0.25862068965517243], RuntimeGeneratedFunct
ions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x)
, ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModT
ag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}
(nothing)), MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunc
tions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x
), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_Mod
Tag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing
}}([0.22413793103448276], RuntimeGeneratedFunctions.RuntimeGeneratedFunctio
n{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_
RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40
, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), MethodOfLines.va
r"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFuncti
on{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#
_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b4
0, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.1896551724137931], Run
timeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#596480516011
1424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitB
ase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1
c55a673), Nothing}(nothing)), MethodOfLines.var"#71#79"{Vector{Float64}, Ru
ntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#59648051601
11424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkit
Base.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x
1c55a673), Nothing}}([0.15517241379310345], RuntimeGeneratedFunctions.Runti
meGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), Modeling
ToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc7
31b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing))
, MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.Runt
imeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), Modelin
gToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc
731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.1206
896551724138], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("
##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag"
, ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef
2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), MethodOfLines.var"#71#79"{V
ector{Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol(
"##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag
", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414ce
f2, 0x36f76a81, 0x1c55a673), Nothing}}([0.08620689655172414], RuntimeGenera
tedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"),
 :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_
RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), 
Nothing}(nothing)), MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGener
atedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296")
, :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#
_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673),
 Nothing}}([0.05172413793103448], RuntimeGeneratedFunctions.RuntimeGenerate
dFunction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBas
e.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x
1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), MethodOf
Lines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGenerat
edFunction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBa
se.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0
x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([-0.0172413793103
44827], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5
964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", Model
ingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36
f76a81, 0x1c55a673), Nothing}(nothing))]), nothing, nothing, nothing, nothi
ng, nothing, nothing, nothing, nothing, nothing, nothing, nothing, Modeling
ToolkitBase.ObservedFunctionCache{ModelingToolkitBase.System, Nothing}(Mode
l pdesys1:
Equations (29):
  29 standard: see equations(pdesys1)
Unknowns (29): see unknowns(pdesys1)
  (u(t))[29]
  (u(t))[28]
  (u(t))[27]
  (u(t))[26]
  ⋮
Observed (3): see observed(pdesys1), Dict{Any, Any}(), false, false, Method
OfLines, false, nothing), nothing, Model pdesys1:
Equations (29):
  29 standard: see equations(pdesys1)
Unknowns (29): see unknowns(pdesys1)
  (u(t))[29]
  (u(t))[28]
  (u(t))[27]
  (u(t))[26]
  ⋮
Observed (3): see observed(pdesys1), nothing, nothing), [0.9482758620689655
, 0.9137931034482759, 0.8793103448275862, 0.8448275862068966, 0.98275862068
9655, 0.8103448275862069, 0.7758620689655172, 0.7413793103448276, 0.7068965
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0.25862068965517243, 0.22413793103448276, 0.1896551724137931, 0.15517241379
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Work-Precision Plot for Burgers Equation, Dirichlet BCs

dummy_appxsol = [nothing for i in 1:length(probs1)]
abstols = 1.0 ./ 10.0 .^ (5:8)
reltols = 1.0 ./ 10.0 .^ (1:4);
setups = [Dict(:alg => solver, :prob_choice => 1),
    Dict(:alg => solver, :prob_choice => 2),
    Dict(:alg => solver, :prob_choice => 3),
    Dict(:alg => solver, :prob_choice => 4),
    Dict(:alg => solver, :prob_choice => 5),
    Dict(:alg => solver, :prob_choice => 6)]
names = ["Uniform Upwind, center_align", "Uniform Upwind, edge_align",
    "Nonuniform Upwind, center_align",
    "Nonuniform Upwind, edge_align", "WENO, center_align", "WENO, edge_align"];

wp = WorkPrecisionSet(probs1, abstols, reltols, setups; names = names,
    save_everystep = false, appxsol = dummy_appxsol, maxiters = Int(1e5),
    numruns = 10, wrap = Val(false))
plot(wp)

Here are the problems for pdesys2:

probupwind1 = discretize(pdesys2, discupwind1; analytic = pdesys2.analytic_func)
probupwind2 = discretize(pdesys2, discupwind2; analytic = pdesys2.analytic_func)

probweno1 = discretize(pdesys2, discweno1; analytic = pdesys2.analytic_func)
probweno2 = discretize(pdesys2, discweno2; analytic = pdesys2.analytic_func)

probnu1 = discretize(pdesys2, discnu1; analytic = pdesys2.analytic_func)
probnu2 = discretize(pdesys2, discnu2; analytic = pdesys2.analytic_func)

probs2 = [probupwind1, probupwind2, probnu1, probnu2, probweno1, probweno2]
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lingToolkitBase.ObservedFunctionCache{ModelingToolkitBase.System, Nothing}(
Model pdesys2:
Equations (28):
  28 standard: see equations(pdesys2)
Unknowns (28): see unknowns(pdesys2)
  (u(t))[29]
  (u(t))[28]
  (u(t))[27]
  (u(t))[26]
  ⋮
Observed (3): see observed(pdesys2), Dict{Any, Any}(), false, false, Method
OfLines, false, nothing), nothing, Model pdesys2:
Equations (28):
  28 standard: see equations(pdesys2)
Unknowns (28): see unknowns(pdesys2)
  (u(t))[29]
  (u(t))[28]
  (u(t))[27]
  (u(t))[26]
  ⋮
Observed (3): see observed(pdesys2), nothing, nothing), [0.9655172413793104
, 0.9310344827586207, 0.896551724137931, 0.8620689655172413, 0.827586206896
5517, 0.7931034482758621, 0.7586206896551724, 0.7241379310344828, 0.6896551
724137931, 0.6551724137931034  …  0.3448275862068966, 0.3103448275862069, 0
.27586206896551724, 0.2413793103448276, 0.20689655172413793, 0.172413793103
4483, 0.13793103448275862, 0.10344827586206896, 0.06896551724137931, 0.0344
82758620689655], (0.0, 20.0), ModelingToolkitBase.MTKParameters{StaticArray
sCore.SVector{0, Float64}, Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tupl
e{}}(Float64[], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 
0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], (), (), (), ()), Base.Pairs{S
ymbol, Union{}, Tuple{}, @NamedTuple{}}(), SciMLBase.StandardODEProblem())
 SciMLBase.ODEProblem{Vector{Float64}, Tuple{Float64, Float64}, true, Model
ingToolkitBase.MTKParameters{StaticArraysCore.SVector{0, Float64}, Vector{F
loat64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, SciMLBase.ODEFunction{true, S
ciMLBase.AutoDespecialize, ModelingToolkitBase.GeneratedFunctionWrapper{Tup
le{2, 3, true}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:___mtk
unknowns___, :___mtkparameters___, :__argₛᵧₘ9671596506859111994), MethodOfL
ines.var"#_RGF_ModTag", MethodOfLines.var"#_RGF_ModTag", (0xe3b0421b, 0xd07
096d7, 0xaa485654, 0xea6102e2, 0x3e2ddb19), Nothing}, RuntimeGeneratedFunct
ions.RuntimeGeneratedFunction{(:__argₛᵧₘ1401282876548370056, :___mtkunknown
s___, :___mtkparameters___, :__argₛᵧₘ9671596506859111994), MethodOfLines.va
r"#_RGF_ModTag", MethodOfLines.var"#_RGF_ModTag", (0xb4648d8f, 0xc58031d4, 
0xa4210e13, 0x6fd5e549, 0xe59e960d), Nothing}}, LinearAlgebra.UniformScalin
g{Bool}, MethodOfLines.var"#73#81"{Vector{MethodOfLines.var"#71#79"{Vector{
Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg
#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", Mod
elingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x
36f76a81, 0x1c55a673), Nothing}}}}, Nothing, Nothing, Nothing, Nothing, Not
hing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit
Base.ObservedFunctionCache{ModelingToolkitBase.System, Nothing}, Nothing, M
odelingToolkitBase.System, Union{Nothing, SciMLBase.OverrideInitData}, Unio
n{Nothing, SciMLBase.ODENLStepData}}, Base.Pairs{Symbol, Union{}, Tuple{}, 
@NamedTuple{}}, SciMLBase.StandardODEProblem}(SciMLBase.ODEFunction{true, S
ciMLBase.AutoDespecialize, ModelingToolkitBase.GeneratedFunctionWrapper{Tup
le{2, 3, true}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:___mtk
unknowns___, :___mtkparameters___, :__argₛᵧₘ9671596506859111994), MethodOfL
ines.var"#_RGF_ModTag", MethodOfLines.var"#_RGF_ModTag", (0xe3b0421b, 0xd07
096d7, 0xaa485654, 0xea6102e2, 0x3e2ddb19), Nothing}, RuntimeGeneratedFunct
ions.RuntimeGeneratedFunction{(:__argₛᵧₘ1401282876548370056, :___mtkunknown
s___, :___mtkparameters___, :__argₛᵧₘ9671596506859111994), MethodOfLines.va
r"#_RGF_ModTag", MethodOfLines.var"#_RGF_ModTag", (0xb4648d8f, 0xc58031d4, 
0xa4210e13, 0x6fd5e549, 0xe59e960d), Nothing}}, LinearAlgebra.UniformScalin
g{Bool}, MethodOfLines.var"#73#81"{Vector{MethodOfLines.var"#71#79"{Vector{
Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg
#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", Mod
elingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x
36f76a81, 0x1c55a673), Nothing}}}}, Nothing, Nothing, Nothing, Nothing, Not
hing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit
Base.ObservedFunctionCache{ModelingToolkitBase.System, Nothing}, Nothing, M
odelingToolkitBase.System, Union{Nothing, SciMLBase.OverrideInitData}, Unio
n{Nothing, SciMLBase.ODENLStepData}}(ModelingToolkitBase.GeneratedFunctionW
rapper{Tuple{2, 3, true}, RuntimeGeneratedFunctions.RuntimeGeneratedFunctio
n{(:___mtkunknowns___, :___mtkparameters___, :__argₛᵧₘ9671596506859111994),
 MethodOfLines.var"#_RGF_ModTag", MethodOfLines.var"#_RGF_ModTag", (0xe3b04
21b, 0xd07096d7, 0xaa485654, 0xea6102e2, 0x3e2ddb19), Nothing}, RuntimeGene
ratedFunctions.RuntimeGeneratedFunction{(:__argₛᵧₘ1401282876548370056, :___
mtkunknowns___, :___mtkparameters___, :__argₛᵧₘ9671596506859111994), Method
OfLines.var"#_RGF_ModTag", MethodOfLines.var"#_RGF_ModTag", (0xb4648d8f, 0x
c58031d4, 0xa4210e13, 0x6fd5e549, 0xe59e960d), Nothing}}(RuntimeGeneratedFu
nctions.RuntimeGeneratedFunction{(:___mtkunknowns___, :___mtkparameters___,
 :__argₛᵧₘ9671596506859111994), MethodOfLines.var"#_RGF_ModTag", MethodOfLi
nes.var"#_RGF_ModTag", (0xe3b0421b, 0xd07096d7, 0xaa485654, 0xea6102e2, 0x3
e2ddb19), Nothing}(nothing), RuntimeGeneratedFunctions.RuntimeGeneratedFunc
tion{(:__argₛᵧₘ1401282876548370056, :___mtkunknowns___, :___mtkparameters__
_, :__argₛᵧₘ9671596506859111994), MethodOfLines.var"#_RGF_ModTag", MethodOf
Lines.var"#_RGF_ModTag", (0xb4648d8f, 0xc58031d4, 0xa4210e13, 0x6fd5e549, 0
xe59e960d), Nothing}(nothing)), LinearAlgebra.UniformScaling{Bool}(true), M
ethodOfLines.var"#73#81"{Vector{MethodOfLines.var"#71#79"{Vector{Float64}, 
RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#596480516
0111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolk
itBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 
0x1c55a673), Nothing}}}}(MethodOfLines.var"#71#79"{Vector{Float64}, Runtime
GeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424
296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.
var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a
673), Nothing}}[MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGenerated
Functions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t
, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF
_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Not
hing}}([0.9827586206896551], RuntimeGeneratedFunctions.RuntimeGeneratedFunc
tion{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var
"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999
b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), MethodOfLines
.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFun
ction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.va
r"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e99
9b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.9482758620689655], 
RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#596480516
0111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolk
itBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 
0x1c55a673), Nothing}(nothing)), MethodOfLines.var"#71#79"{Vector{Float64},
 RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#59648051
60111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingTool
kitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81,
 0x1c55a673), Nothing}}([0.9137931034482759], RuntimeGeneratedFunctions.Run
timeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), Modeli
ngToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0x
c731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing
)), MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.Ru
ntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), Model
ingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0
xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.87
93103448275862], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol
("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTa
g", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414c
ef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), MethodOfLines.var"#71#79"
{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbo
l("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModT
ag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414
cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.8448275862068966], RuntimeGener
atedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296")
, :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#
_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673),
 Nothing}(nothing)), MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGene
ratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"
), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"
#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673)
, Nothing}}([0.8103448275862069], RuntimeGeneratedFunctions.RuntimeGenerate
dFunction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBas
e.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x
1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), MethodOf
Lines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGenerat
edFunction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBa
se.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0
x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.77586206896551
72], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964
805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", Modeling
ToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76
a81, 0x1c55a673), Nothing}(nothing)), MethodOfLines.var"#71#79"{Vector{Floa
t64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#596
4805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", Modelin
gToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f7
6a81, 0x1c55a673), Nothing}}([0.7413793103448276], RuntimeGeneratedFunction
s.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), M
odelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag"
, (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(no
thing)), MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctio
ns.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), 
ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag
", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}(
[0.7068965517241379], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(S
ymbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_
ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x
6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), MethodOfLines.var"#7
1#79"{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(
Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF
_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0
x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.6724137931034483], Runtime
GeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424
296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.
var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a
673), Nothing}(nothing))  …  MethodOfLines.var"#71#79"{Vector{Float64}, Run
timeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#596480516011
1424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitB
ase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1
c55a673), Nothing}}([0.3275862068965517], RuntimeGeneratedFunctions.Runtime
GeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingTo
olkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731
b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), 
MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.Runtim
eGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingT
oolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc73
1b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.293103
44827586204], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("#
#arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag",
 ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2
, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), MethodOfLines.var"#71#79"{Ve
ctor{Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("
##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag"
, ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef
2, 0x36f76a81, 0x1c55a673), Nothing}}([0.25862068965517243], RuntimeGenerat
edFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), 
:t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_R
GF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), N
othing}(nothing)), MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGenera
tedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"),
 :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_
RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), 
Nothing}}([0.22413793103448276], RuntimeGeneratedFunctions.RuntimeGenerated
Function{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase
.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1
e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), MethodOfL
ines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGenerate
dFunction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBas
e.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x
1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.189655172413793
1], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#59648
05160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingT
oolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a
81, 0x1c55a673), Nothing}(nothing)), MethodOfLines.var"#71#79"{Vector{Float
64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964
805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", Modeling
ToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76
a81, 0x1c55a673), Nothing}}([0.15517241379310345], RuntimeGeneratedFunction
s.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), M
odelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag"
, (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(no
thing)), MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctio
ns.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), 
ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag
", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}(
[0.1206896551724138], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(S
ymbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_
ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x
6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), MethodOfLines.var"#7
1#79"{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(
Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF
_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0
x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.08620689655172414], Runtim
eGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#596480516011142
4296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase
.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55
a673), Nothing}(nothing)), MethodOfLines.var"#71#79"{Vector{Float64}, Runti
meGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#59648051601114
24296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBas
e.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c5
5a673), Nothing}}([0.05172413793103448], RuntimeGeneratedFunctions.RuntimeG
eneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToo
lkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b
114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), M
ethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.Runtime
GeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingTo
olkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731
b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.0172413
79310344827], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("#
#arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag",
 ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2
, 0x36f76a81, 0x1c55a673), Nothing}(nothing))]), nothing, nothing, nothing,
 nothing, nothing, nothing, nothing, nothing, nothing, nothing, nothing, Mo
delingToolkitBase.ObservedFunctionCache{ModelingToolkitBase.System, Nothing
}(Model pdesys2:
Equations (29):
  29 standard: see equations(pdesys2)
Unknowns (29): see unknowns(pdesys2)
  (u(t))[30]
  (u(t))[29]
  (u(t))[28]
  (u(t))[27]
  ⋮
Observed (3): see observed(pdesys2), Dict{Any, Any}(), false, false, Method
OfLines, false, nothing), nothing, Model pdesys2:
Equations (29):
  29 standard: see equations(pdesys2)
Unknowns (29): see unknowns(pdesys2)
  (u(t))[30]
  (u(t))[29]
  (u(t))[28]
  (u(t))[27]
  ⋮
Observed (3): see observed(pdesys2), nothing, nothing), [0.9827586206896551
, 0.9482758620689655, 0.9137931034482759, 0.8793103448275862, 0.84482758620
68966, 0.8103448275862069, 0.7758620689655172, 0.7413793103448276, 0.706896
5517241379, 0.6724137931034483  …  0.3275862068965517, 0.29310344827586204,
 0.25862068965517243, 0.22413793103448276, 0.1896551724137931, 0.1551724137
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746ac, 0xd1598533, 0x510b3ce5, 0x5c6b158d), Nothing}, RuntimeGeneratedFunct
ions.RuntimeGeneratedFunction{(:__argₛᵧₘ1401282876548370056, :___mtkunknown
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g{Bool}, MethodOfLines.var"#73#81"{Vector{MethodOfLines.var"#71#79"{Vector{
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ions.RuntimeGeneratedFunction{(:__argₛᵧₘ1401282876548370056, :___mtkunknown
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r"#_RGF_ModTag", MethodOfLines.var"#_RGF_ModTag", (0x3472487e, 0x28748aa5, 
0x712ae103, 0x552f7158, 0x3c94f04d), Nothing}}, LinearAlgebra.UniformScalin
g{Bool}, MethodOfLines.var"#73#81"{Vector{MethodOfLines.var"#71#79"{Vector{
Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg
#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", Mod
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36f76a81, 0x1c55a673), Nothing}}}}, Nothing, Nothing, Nothing, Nothing, Not
hing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit
Base.ObservedFunctionCache{ModelingToolkitBase.System, Nothing}, Nothing, M
odelingToolkitBase.System, Union{Nothing, SciMLBase.OverrideInitData}, Unio
n{Nothing, SciMLBase.ODENLStepData}}(ModelingToolkitBase.GeneratedFunctionW
rapper{Tuple{2, 3, true}, RuntimeGeneratedFunctions.RuntimeGeneratedFunctio
n{(:___mtkunknowns___, :___mtkparameters___, :__argₛᵧₘ9671596506859111994),
 MethodOfLines.var"#_RGF_ModTag", MethodOfLines.var"#_RGF_ModTag", (0x04afc
232, 0xf0e746ac, 0xd1598533, 0x510b3ce5, 0x5c6b158d), Nothing}, RuntimeGene
ratedFunctions.RuntimeGeneratedFunction{(:__argₛᵧₘ1401282876548370056, :___
mtkunknowns___, :___mtkparameters___, :__argₛᵧₘ9671596506859111994), Method
OfLines.var"#_RGF_ModTag", MethodOfLines.var"#_RGF_ModTag", (0x3472487e, 0x
28748aa5, 0x712ae103, 0x552f7158, 0x3c94f04d), Nothing}}(RuntimeGeneratedFu
nctions.RuntimeGeneratedFunction{(:___mtkunknowns___, :___mtkparameters___,
 :__argₛᵧₘ9671596506859111994), MethodOfLines.var"#_RGF_ModTag", MethodOfLi
nes.var"#_RGF_ModTag", (0x04afc232, 0xf0e746ac, 0xd1598533, 0x510b3ce5, 0x5
c6b158d), Nothing}(nothing), RuntimeGeneratedFunctions.RuntimeGeneratedFunc
tion{(:__argₛᵧₘ1401282876548370056, :___mtkunknowns___, :___mtkparameters__
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Lines.var"#_RGF_ModTag", (0x3472487e, 0x28748aa5, 0x712ae103, 0x552f7158, 0
x3c94f04d), Nothing}(nothing)), LinearAlgebra.UniformScaling{Bool}(true), M
ethodOfLines.var"#73#81"{Vector{MethodOfLines.var"#71#79"{Vector{Float64}, 
RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#596480516
0111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolk
itBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 
0x1c55a673), Nothing}}}}(MethodOfLines.var"#71#79"{Vector{Float64}, Runtime
GeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424
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var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a
673), Nothing}}[MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGenerated
Functions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t
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.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFun
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RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#596480516
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0x1c55a673), Nothing}(nothing)), MethodOfLines.var"#71#79"{Vector{Float64},
 RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#59648051
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timeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), Modeli
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c731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing
)), MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.Ru
ntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), Model
ingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0
xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.94
55032620941839], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol
("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTa
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ef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), MethodOfLines.var"#71#79"
{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbo
l("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModT
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tedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"),
 :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_
RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), 
Nothing}(nothing)), MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGener
atedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296")
, :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#
_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673),
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Function{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase
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e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), MethodOfL
ines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGenerate
dFunction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBas
e.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x
1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.853553390593273
7], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#59648
05160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingT
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81, 0x1c55a673), Nothing}(nothing)), MethodOfLines.var"#71#79"{Vector{Float
64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964
805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", Modeling
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hing)), MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunction
s.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), M
odelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag"
, (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([
0.7723195175075135], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Sy
mbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_M
odTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6
414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), MethodOfLines.var"#71
#79"{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(S
ymbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_
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6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.7269952498697734], RuntimeG
eneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#59648051601114242
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ar"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a6
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imeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111
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GeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingTo
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eGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingT
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48249248646], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("#
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:t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_R
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999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), MethodOfLi
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5], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#59648
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0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), MethodOfLines.var"
#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction
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timeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#596480516011
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c55a673), Nothing}}([0.017037086855465844], RuntimeGeneratedFunctions.Runti
meGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), Modeling
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, MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.Runt
imeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), Modelin
gToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc
731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.0061
5582970243117], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol(
"##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag
", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414ce
f2, 0x36f76a81, 0x1c55a673), Nothing}(nothing))]), nothing, nothing, nothin
g, nothing, nothing, nothing, nothing, nothing, nothing, nothing, nothing, 
ModelingToolkitBase.ObservedFunctionCache{ModelingToolkitBase.System, Nothi
ng}(Model pdesys2:
Equations (28):
  28 standard: see equations(pdesys2)
Unknowns (28): see unknowns(pdesys2)
  (u(t))[29]
  (u(t))[28]
  (u(t))[27]
  (u(t))[26]
  ⋮
Observed (3): see observed(pdesys2), Dict{Any, Any}(), false, false, Method
OfLines, false, nothing), nothing, Model pdesys2:
Equations (28):
  28 standard: see equations(pdesys2)
Unknowns (28): see unknowns(pdesys2)
  (u(t))[29]
  (u(t))[28]
  (u(t))[27]
  (u(t))[26]
  ⋮
Observed (3): see observed(pdesys2), nothing, nothing), [0.9938441702975689
, 0.9829629131445341, 0.9667902132486008, 0.9455032620941839, 0.91933528397
2712, 0.8885729807284855, 0.8535533905932737, 0.8146601955249188, 0.7723195
175075135, 0.7269952498697734  …  0.27300475013022657, 0.22768048249248646,
 0.18533980447508125, 0.1464466094067262, 0.11142701927151455, 0.0806647160
2728797, 0.054496737905816106, 0.03320978675139913, 0.017037086855465844, 0
.00615582970243117], (0.0, 20.0), ModelingToolkitBase.MTKParameters{StaticA
rraysCore.SVector{0, Float64}, Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, 
Tuple{}}(Float64[], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0
.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], (), (), (), ()), Base.Pai
rs{Symbol, Union{}, Tuple{}, @NamedTuple{}}(), SciMLBase.StandardODEProblem
())
 SciMLBase.ODEProblem{Vector{Float64}, Tuple{Float64, Float64}, true, Model
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unknowns___, :___mtkparameters___, :__argₛᵧₘ9671596506859111994), MethodOfL
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710c4, 0x6568d71f, 0x2adeffa3, 0x3ec4e64c), Nothing}, RuntimeGeneratedFunct
ions.RuntimeGeneratedFunction{(:__argₛᵧₘ1401282876548370056, :___mtkunknown
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@NamedTuple{}}, SciMLBase.StandardODEProblem}(SciMLBase.ODEFunction{true, S
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710c4, 0x6568d71f, 0x2adeffa3, 0x3ec4e64c), Nothing}, RuntimeGeneratedFunct
ions.RuntimeGeneratedFunction{(:__argₛᵧₘ1401282876548370056, :___mtkunknown
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r"#_RGF_ModTag", MethodOfLines.var"#_RGF_ModTag", (0x058507a2, 0x713f5ca0, 
0x3ca7dd18, 0x4313d760, 0x02913869), Nothing}}, LinearAlgebra.UniformScalin
g{Bool}, MethodOfLines.var"#73#81"{Vector{MethodOfLines.var"#71#79"{Vector{
Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg
#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", Mod
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36f76a81, 0x1c55a673), Nothing}}}}, Nothing, Nothing, Nothing, Nothing, Not
hing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit
Base.ObservedFunctionCache{ModelingToolkitBase.System, Nothing}, Nothing, M
odelingToolkitBase.System, Union{Nothing, SciMLBase.OverrideInitData}, Unio
n{Nothing, SciMLBase.ODENLStepData}}(ModelingToolkitBase.GeneratedFunctionW
rapper{Tuple{2, 3, true}, RuntimeGeneratedFunctions.RuntimeGeneratedFunctio
n{(:___mtkunknowns___, :___mtkparameters___, :__argₛᵧₘ9671596506859111994),
 MethodOfLines.var"#_RGF_ModTag", MethodOfLines.var"#_RGF_ModTag", (0x5cb1e
c8f, 0xb02710c4, 0x6568d71f, 0x2adeffa3, 0x3ec4e64c), Nothing}, RuntimeGene
ratedFunctions.RuntimeGeneratedFunction{(:__argₛᵧₘ1401282876548370056, :___
mtkunknowns___, :___mtkparameters___, :__argₛᵧₘ9671596506859111994), Method
OfLines.var"#_RGF_ModTag", MethodOfLines.var"#_RGF_ModTag", (0x058507a2, 0x
713f5ca0, 0x3ca7dd18, 0x4313d760, 0x02913869), Nothing}}(RuntimeGeneratedFu
nctions.RuntimeGeneratedFunction{(:___mtkunknowns___, :___mtkparameters___,
 :__argₛᵧₘ9671596506859111994), MethodOfLines.var"#_RGF_ModTag", MethodOfLi
nes.var"#_RGF_ModTag", (0x5cb1ec8f, 0xb02710c4, 0x6568d71f, 0x2adeffa3, 0x3
ec4e64c), Nothing}(nothing), RuntimeGeneratedFunctions.RuntimeGeneratedFunc
tion{(:__argₛᵧₘ1401282876548370056, :___mtkunknowns___, :___mtkparameters__
_, :__argₛᵧₘ9671596506859111994), MethodOfLines.var"#_RGF_ModTag", MethodOf
Lines.var"#_RGF_ModTag", (0x058507a2, 0x713f5ca0, 0x3ca7dd18, 0x4313d760, 0
x02913869), Nothing}(nothing)), LinearAlgebra.UniformScaling{Bool}(true), M
ethodOfLines.var"#73#81"{Vector{MethodOfLines.var"#71#79"{Vector{Float64}, 
RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#596480516
0111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolk
itBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 
0x1c55a673), Nothing}}}}(MethodOfLines.var"#71#79"{Vector{Float64}, Runtime
GeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424
296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.
var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a
673), Nothing}}[MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGenerated
Functions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t
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tion{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var
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.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFun
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RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#596480516
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0x1c55a673), Nothing}(nothing)), MethodOfLines.var"#71#79"{Vector{Float64},
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60111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingTool
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timeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), Modeli
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c731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing
)), MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.Ru
ntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), Model
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xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.95
31221910657036], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol
("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTa
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ef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), MethodOfLines.var"#71#79"
{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbo
l("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModT
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cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.9278002606507284], RuntimeGener
atedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296")
, :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#
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 Nothing}(nothing)), MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGene
ratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"
), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"
#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673)
, Nothing}}([0.8974627633211318], RuntimeGeneratedFunctions.RuntimeGenerate
dFunction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBas
e.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x
1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), MethodOf
Lines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGenerat
edFunction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBa
se.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0
x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.86246537849526
5], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#59648
05160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingT
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81, 0x1c55a673), Nothing}(nothing)), MethodOfLines.var"#71#79"{Vector{Float
64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964
805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", Modeling
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a81, 0x1c55a673), Nothing}}([0.8232184185117971], RuntimeGeneratedFunctions
.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), Mo
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 (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(not
hing)), MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunction
s.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), M
odelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag"
, (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([
0.7801820180926968], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Sy
mbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_M
odTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6
414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), MethodOfLines.var"#71
#79"{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(S
ymbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_
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6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.7338607396843215], RuntimeG
eneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#59648051601114242
96"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.v
ar"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a6
73), Nothing}(nothing))  …  MethodOfLines.var"#71#79"{Vector{Float64}, Runt
imeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111
424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBa
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55a673), Nothing}}([0.26613926031567836], RuntimeGeneratedFunctions.Runtime
GeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingTo
olkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731
b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), 
MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.Runtim
eGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingT
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1b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.219817
98190730328], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("#
#arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag",
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ctor{Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("
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2, 0x36f76a81, 0x1c55a673), Nothing}}([0.17678158148820286], RuntimeGenerat
edFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), 
:t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_R
GF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), N
othing}(nothing)), MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGenera
tedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"),
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.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1
e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), MethodOfL
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1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.102537236678868
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4805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", Modelin
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ns.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), 
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([0.04687780893429641], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{
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0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), MethodOfLines.var"
#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction
{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_R
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timeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#596480516011
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eGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingT
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 MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.Runti
meGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), Modeling
ToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc7
31b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.00329
33693646184647], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol
("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTa
g", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414c
ef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing))]), nothing, nothing, nothi
ng, nothing, nothing, nothing, nothing, nothing, nothing, nothing, nothing,
 ModelingToolkitBase.ObservedFunctionCache{ModelingToolkitBase.System, Noth
ing}(Model pdesys2:
Equations (28):
  28 standard: see equations(pdesys2)
Unknowns (28): see unknowns(pdesys2)
  (u(t))[29]
  (u(t))[28]
  (u(t))[27]
  (u(t))[26]
  ⋮
Observed (3): see observed(pdesys2), Dict{Any, Any}(), false, false, Method
OfLines, false, nothing), nothing, Model pdesys2:
Equations (28):
  28 standard: see equations(pdesys2)
Unknowns (28): see unknowns(pdesys2)
  (u(t))[29]
  (u(t))[28]
  (u(t))[27]
  (u(t))[26]
  ⋮
Observed (3): see observed(pdesys2), nothing, nothing), [0.9967066306353816
, 0.9875941287651873, 0.9731316780840036, 0.9531221910657036, 0.92780026065
07284, 0.8974627633211318, 0.862465378495265, 0.8232184185117971, 0.7801820
180926968, 0.7338607396843215  …  0.26613926031567836, 0.21981798190730328,
 0.17678158148820286, 0.13753462150473503, 0.10253723667886827, 0.072199739
34927165, 0.04687780893429641, 0.02686832191599639, 0.01240587123481271, 0.
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ArraysCore.SVector{0, Float64}, Vector{Float64}, Tuple{}, Tuple{}, Tuple{},
 Tuple{}}(Float64[], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  
0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], (), (), (), ()), Base.Pa
irs{Symbol, Union{}, Tuple{}, @NamedTuple{}}(), SciMLBase.StandardODEProble
m())
 SciMLBase.ODEProblem{Vector{Float64}, Tuple{Float64, Float64}, true, Model
ingToolkitBase.MTKParameters{StaticArraysCore.SVector{0, Float64}, Vector{F
loat64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, SciMLBase.ODEFunction{true, S
ciMLBase.AutoDespecialize, ModelingToolkitBase.GeneratedFunctionWrapper{Tup
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unknowns___, :___mtkparameters___, :__argₛᵧₘ9671596506859111994), MethodOfL
ines.var"#_RGF_ModTag", MethodOfLines.var"#_RGF_ModTag", (0xcca05cdf, 0x559
1a366, 0x26508b34, 0x2fbbb9c4, 0x208cc974), Nothing}, RuntimeGeneratedFunct
ions.RuntimeGeneratedFunction{(:__argₛᵧₘ1401282876548370056, :___mtkunknown
s___, :___mtkparameters___, :__argₛᵧₘ9671596506859111994), MethodOfLines.va
r"#_RGF_ModTag", MethodOfLines.var"#_RGF_ModTag", (0x73c49b10, 0x6e4d2134, 
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0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}}}, Nothing, Nothing, Nothing
, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, M
odelingToolkitBase.ObservedFunctionCache{ModelingToolkitBase.System, Nothin
g}, Nothing, ModelingToolkitBase.System, Union{Nothing, SciMLBase.OverrideI
nitData}, Union{Nothing, SciMLBase.ODENLStepData}}, Base.Pairs{Symbol, Unio
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ction{(:___mtkunknowns___, :___mtkparameters___, :__argₛᵧₘ96715965068591119
94), MethodOfLines.var"#_RGF_ModTag", MethodOfLines.var"#_RGF_ModTag", (0xc
ca05cdf, 0x5591a366, 0x26508b34, 0x2fbbb9c4, 0x208cc974), Nothing}, Runtime
GeneratedFunctions.RuntimeGeneratedFunction{(:__argₛᵧₘ1401282876548370056, 
:___mtkunknowns___, :___mtkparameters___, :__argₛᵧₘ9671596506859111994), Me
thodOfLines.var"#_RGF_ModTag", MethodOfLines.var"#_RGF_ModTag", (0x73c49b10
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.Diagonal{Float64, Vector{Float64}}, MethodOfLines.var"#73#81"{Vector{Metho
dOfLines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGene
ratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolki
tBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114
, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}}}, Nothing, No
thing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothi
ng, Nothing, ModelingToolkitBase.ObservedFunctionCache{ModelingToolkitBase.
System, Nothing}, Nothing, ModelingToolkitBase.System, Union{Nothing, SciML
Base.OverrideInitData}, Union{Nothing, SciMLBase.ODENLStepData}}(ModelingTo
olkitBase.GeneratedFunctionWrapper{Tuple{2, 3, true}, RuntimeGeneratedFunct
ions.RuntimeGeneratedFunction{(:___mtkunknowns___, :___mtkparameters___, :_
_argₛᵧₘ9671596506859111994), MethodOfLines.var"#_RGF_ModTag", MethodOfLines
.var"#_RGF_ModTag", (0xcca05cdf, 0x5591a366, 0x26508b34, 0x2fbbb9c4, 0x208c
c974), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:__arg
ₛᵧₘ1401282876548370056, :___mtkunknowns___, :___mtkparameters___, :__argₛᵧₘ
9671596506859111994), MethodOfLines.var"#_RGF_ModTag", MethodOfLines.var"#_
RGF_ModTag", (0x73c49b10, 0x6e4d2134, 0x2e7ea277, 0x2eceae84, 0xef85e146), 
Nothing}}(RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:___mtkunknow
ns___, :___mtkparameters___, :__argₛᵧₘ9671596506859111994), MethodOfLines.v
ar"#_RGF_ModTag", MethodOfLines.var"#_RGF_ModTag", (0xcca05cdf, 0x5591a366,
 0x26508b34, 0x2fbbb9c4, 0x208cc974), Nothing}(nothing), RuntimeGeneratedFu
nctions.RuntimeGeneratedFunction{(:__argₛᵧₘ1401282876548370056, :___mtkunkn
owns___, :___mtkparameters___, :__argₛᵧₘ9671596506859111994), MethodOfLines
.var"#_RGF_ModTag", MethodOfLines.var"#_RGF_ModTag", (0x73c49b10, 0x6e4d213
4, 0x2e7ea277, 0x2eceae84, 0xef85e146), Nothing}(nothing)), [1.0 0.0 … 0.0 
0.0; 0.0 1.0 … 0.0 0.0; … ; 0.0 0.0 … 1.0 0.0; 0.0 0.0 … 0.0 0.0], MethodOf
Lines.var"#73#81"{Vector{MethodOfLines.var"#71#79"{Vector{Float64}, Runtime
GeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424
296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.
var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a
673), Nothing}}}}(MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGenerat
edFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), 
:t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_R
GF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), N
othing}}[MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctio
ns.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), 
ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag
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[0.9310344827586207], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(S
ymbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_
ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x
6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), MethodOfLines.var"#7
1#79"{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(
Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF
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x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.896551724137931], RuntimeG
eneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#59648051601114242
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ar"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a6
73), Nothing}(nothing)), MethodOfLines.var"#71#79"{Vector{Float64}, Runtime
GeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424
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673), Nothing}}([0.8620689655172413], RuntimeGeneratedFunctions.RuntimeGene
ratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolki
tBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114
, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), Meth
odOfLines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGen
eratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolk
itBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b11
4, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.8275862068
965517], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#
5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", Mode
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6f76a81, 0x1c55a673), Nothing}(nothing)), MethodOfLines.var"#71#79"{Vector{
Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg
#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", Mod
elingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x
36f76a81, 0x1c55a673), Nothing}}([0.9655172413793104], RuntimeGeneratedFunc
tions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x
), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_Mod
Tag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing
}(nothing)), MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFun
ctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :
x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_Mo
dTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothin
g}}([0.7931034482758621], RuntimeGeneratedFunctions.RuntimeGeneratedFunctio
n{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_
RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40
, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), MethodOfLines.va
r"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFuncti
on{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#
_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b4
0, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.7586206896551724], Run
timeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#596480516011
1424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitB
ase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1
c55a673), Nothing}(nothing)), MethodOfLines.var"#71#79"{Vector{Float64}, Ru
ntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#59648051601
11424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkit
Base.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x
1c55a673), Nothing}}([0.7241379310344828], RuntimeGeneratedFunctions.Runtim
eGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingT
oolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc73
1b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)),
 MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.Runti
meGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), Modeling
ToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc7
31b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.68965
51724137931], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("#
#arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag",
 ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2
, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), MethodOfLines.var"#71#79"{Ve
ctor{Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("
##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag"
, ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef
2, 0x36f76a81, 0x1c55a673), Nothing}}([0.6551724137931034], RuntimeGenerate
dFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :
t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RG
F_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), No
thing}(nothing))  …  MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGene
ratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"
), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"
#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673)
, Nothing}}([0.3448275862068966], RuntimeGeneratedFunctions.RuntimeGenerate
dFunction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBas
e.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x
1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), MethodOf
Lines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGenerat
edFunction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBa
se.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0
x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.31034482758620
69], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964
805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", Modeling
ToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76
a81, 0x1c55a673), Nothing}(nothing)), MethodOfLines.var"#71#79"{Vector{Floa
t64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#596
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gToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f7
6a81, 0x1c55a673), Nothing}}([0.27586206896551724], RuntimeGeneratedFunctio
ns.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), 
ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag
", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(n
othing)), MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFuncti
ons.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x),
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g", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}
([0.2413793103448276], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(
Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF
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x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), MethodOfLines.var"#
71#79"{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{
(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RG
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0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.20689655172413793], Runti
meGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#59648051601114
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imeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111
424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBa
se.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c
55a673), Nothing}}([0.1724137931034483], RuntimeGeneratedFunctions.RuntimeG
eneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToo
lkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b
114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), M
ethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.Runtime
GeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingTo
olkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731
b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.1379310
3448275862], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##
arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", 
ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2,
 0x36f76a81, 0x1c55a673), Nothing}(nothing)), MethodOfLines.var"#71#79"{Vec
tor{Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("#
#arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag",
 ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2
, 0x36f76a81, 0x1c55a673), Nothing}}([0.10344827586206896], RuntimeGenerate
dFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :
t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RG
F_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), No
thing}(nothing)), MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGenerat
edFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), 
:t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_R
GF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), N
othing}}([0.06896551724137931], RuntimeGeneratedFunctions.RuntimeGeneratedF
unction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.
var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e
999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), MethodOfLi
nes.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGenerated
Function{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase
.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1
e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.0], RuntimeGener
atedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296")
, :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#
_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673),
 Nothing}(nothing))]), nothing, nothing, nothing, nothing, nothing, nothing
, nothing, nothing, nothing, nothing, nothing, ModelingToolkitBase.Observed
FunctionCache{ModelingToolkitBase.System, Nothing}(Model pdesys2:
Equations (28):
  28 standard: see equations(pdesys2)
Unknowns (28): see unknowns(pdesys2)
  (u(t))[28]
  (u(t))[27]
  (u(t))[26]
  (u(t))[25]
  ⋮
Observed (3): see observed(pdesys2), Dict{Any, Any}(), false, false, Method
OfLines, false, nothing), nothing, Model pdesys2:
Equations (28):
  28 standard: see equations(pdesys2)
Unknowns (28): see unknowns(pdesys2)
  (u(t))[28]
  (u(t))[27]
  (u(t))[26]
  (u(t))[25]
  ⋮
Observed (3): see observed(pdesys2), nothing, nothing), [0.9310344827586207
, 0.896551724137931, 0.8620689655172413, 0.8275862068965517, 0.965517241379
3104, 0.7931034482758621, 0.7586206896551724, 0.7241379310344828, 0.6896551
724137931, 0.6551724137931034  …  0.3448275862068966, 0.3103448275862069, 0
.27586206896551724, 0.2413793103448276, 0.20689655172413793, 0.172413793103
4483, 0.13793103448275862, 0.10344827586206896, 0.06896551724137931, -2.784
25836896591e-17], (0.0, 20.0), ModelingToolkitBase.MTKParameters{StaticArra
ysCore.SVector{0, Float64}, Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, Tup
le{}}(Float64[], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0,
 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], (), (), (), ()), Base.Pairs{
Symbol, Union{}, Tuple{}, @NamedTuple{}}(), SciMLBase.StandardODEProblem())
 SciMLBase.ODEProblem{Vector{Float64}, Tuple{Float64, Float64}, true, Model
ingToolkitBase.MTKParameters{StaticArraysCore.SVector{0, Float64}, Vector{F
loat64}, Tuple{}, Tuple{}, Tuple{}, Tuple{}}, SciMLBase.ODEFunction{true, S
ciMLBase.AutoDespecialize, ModelingToolkitBase.GeneratedFunctionWrapper{Tup
le{2, 3, true}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:___mtk
unknowns___, :___mtkparameters___, :__argₛᵧₘ9671596506859111994), MethodOfL
ines.var"#_RGF_ModTag", MethodOfLines.var"#_RGF_ModTag", (0x6ea84b67, 0x164
f39c5, 0xc44f2299, 0x9fa0bc0c, 0x52d8823a), Nothing}, RuntimeGeneratedFunct
ions.RuntimeGeneratedFunction{(:__argₛᵧₘ1401282876548370056, :___mtkunknown
s___, :___mtkparameters___, :__argₛᵧₘ9671596506859111994), MethodOfLines.va
r"#_RGF_ModTag", MethodOfLines.var"#_RGF_ModTag", (0x236dd209, 0x6f81722e, 
0x11a42064, 0x5455a65f, 0x273f7e96), Nothing}}, LinearAlgebra.Diagonal{Floa
t64, Vector{Float64}}, MethodOfLines.var"#73#81"{Vector{MethodOfLines.var"#
71#79"{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{
(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RG
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0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}}}, Nothing, Nothing, Nothing
, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, M
odelingToolkitBase.ObservedFunctionCache{ModelingToolkitBase.System, Nothin
g}, Nothing, ModelingToolkitBase.System, Union{Nothing, SciMLBase.OverrideI
nitData}, Union{Nothing, SciMLBase.ODENLStepData}}, Base.Pairs{Symbol, Unio
n{}, Tuple{}, @NamedTuple{}}, SciMLBase.StandardODEProblem}(SciMLBase.ODEFu
nction{true, SciMLBase.AutoDespecialize, ModelingToolkitBase.GeneratedFunct
ionWrapper{Tuple{2, 3, true}, RuntimeGeneratedFunctions.RuntimeGeneratedFun
ction{(:___mtkunknowns___, :___mtkparameters___, :__argₛᵧₘ96715965068591119
94), MethodOfLines.var"#_RGF_ModTag", MethodOfLines.var"#_RGF_ModTag", (0x6
ea84b67, 0x164f39c5, 0xc44f2299, 0x9fa0bc0c, 0x52d8823a), Nothing}, Runtime
GeneratedFunctions.RuntimeGeneratedFunction{(:__argₛᵧₘ1401282876548370056, 
:___mtkunknowns___, :___mtkparameters___, :__argₛᵧₘ9671596506859111994), Me
thodOfLines.var"#_RGF_ModTag", MethodOfLines.var"#_RGF_ModTag", (0x236dd209
, 0x6f81722e, 0x11a42064, 0x5455a65f, 0x273f7e96), Nothing}}, LinearAlgebra
.Diagonal{Float64, Vector{Float64}}, MethodOfLines.var"#73#81"{Vector{Metho
dOfLines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGene
ratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolki
tBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114
, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}}}, Nothing, No
thing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothi
ng, Nothing, ModelingToolkitBase.ObservedFunctionCache{ModelingToolkitBase.
System, Nothing}, Nothing, ModelingToolkitBase.System, Union{Nothing, SciML
Base.OverrideInitData}, Union{Nothing, SciMLBase.ODENLStepData}}(ModelingTo
olkitBase.GeneratedFunctionWrapper{Tuple{2, 3, true}, RuntimeGeneratedFunct
ions.RuntimeGeneratedFunction{(:___mtkunknowns___, :___mtkparameters___, :_
_argₛᵧₘ9671596506859111994), MethodOfLines.var"#_RGF_ModTag", MethodOfLines
.var"#_RGF_ModTag", (0x6ea84b67, 0x164f39c5, 0xc44f2299, 0x9fa0bc0c, 0x52d8
823a), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:__arg
ₛᵧₘ1401282876548370056, :___mtkunknowns___, :___mtkparameters___, :__argₛᵧₘ
9671596506859111994), MethodOfLines.var"#_RGF_ModTag", MethodOfLines.var"#_
RGF_ModTag", (0x236dd209, 0x6f81722e, 0x11a42064, 0x5455a65f, 0x273f7e96), 
Nothing}}(RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:___mtkunknow
ns___, :___mtkparameters___, :__argₛᵧₘ9671596506859111994), MethodOfLines.v
ar"#_RGF_ModTag", MethodOfLines.var"#_RGF_ModTag", (0x6ea84b67, 0x164f39c5,
 0xc44f2299, 0x9fa0bc0c, 0x52d8823a), Nothing}(nothing), RuntimeGeneratedFu
nctions.RuntimeGeneratedFunction{(:__argₛᵧₘ1401282876548370056, :___mtkunkn
owns___, :___mtkparameters___, :__argₛᵧₘ9671596506859111994), MethodOfLines
.var"#_RGF_ModTag", MethodOfLines.var"#_RGF_ModTag", (0x236dd209, 0x6f81722
e, 0x11a42064, 0x5455a65f, 0x273f7e96), Nothing}(nothing)), [1.0 0.0 … 0.0 
0.0; 0.0 1.0 … 0.0 0.0; … ; 0.0 0.0 … 1.0 0.0; 0.0 0.0 … 0.0 0.0], MethodOf
Lines.var"#73#81"{Vector{MethodOfLines.var"#71#79"{Vector{Float64}, Runtime
GeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424
296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.
var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a
673), Nothing}}}}(MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGenerat
edFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), 
:t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_R
GF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), N
othing}}[MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctio
ns.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), 
ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag
", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}(
[0.9482758620689655], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(S
ymbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_
ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x
6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), MethodOfLines.var"#7
1#79"{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(
Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF
_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0
x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.9137931034482759], Runtime
GeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424
296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.
var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a
673), Nothing}(nothing)), MethodOfLines.var"#71#79"{Vector{Float64}, Runtim
eGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#596480516011142
4296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase
.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55
a673), Nothing}}([0.8793103448275862], RuntimeGeneratedFunctions.RuntimeGen
eratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolk
itBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b11
4, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), Met
hodOfLines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGe
neratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingTool
kitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b1
14, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.844827586
2068966], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg
#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", Mod
elingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x
36f76a81, 0x1c55a673), Nothing}(nothing)), MethodOfLines.var"#71#79"{Vector
{Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##ar
g#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", Mo
delingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0
x36f76a81, 0x1c55a673), Nothing}}([0.9827586206896551], RuntimeGeneratedFun
ctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :
x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_Mo
dTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothin
g}(nothing)), MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFu
nctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, 
:x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_M
odTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothi
ng}}([0.8103448275862069], RuntimeGeneratedFunctions.RuntimeGeneratedFuncti
on{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#
_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b4
0, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), MethodOfLines.v
ar"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunct
ion{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"
#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b
40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.7758620689655172], Ru
ntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#59648051601
11424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkit
Base.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x
1c55a673), Nothing}(nothing)), MethodOfLines.var"#71#79"{Vector{Float64}, R
untimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160
111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolki
tBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0
x1c55a673), Nothing}}([0.7413793103448276], RuntimeGeneratedFunctions.Runti
meGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), Modeling
ToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc7
31b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing))
, MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.Runt
imeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), Modelin
gToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc
731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.7068
965517241379], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("
##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag"
, ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef
2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), MethodOfLines.var"#71#79"{V
ector{Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol(
"##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag
", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414ce
f2, 0x36f76a81, 0x1c55a673), Nothing}}([0.6724137931034483], RuntimeGenerat
edFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), 
:t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_R
GF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), N
othing}(nothing))  …  MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGen
eratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296
"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var
"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673
), Nothing}}([0.3275862068965517], RuntimeGeneratedFunctions.RuntimeGenerat
edFunction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBa
se.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0
x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), MethodO
fLines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGenera
tedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitB
ase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 
0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.2931034482758
6204], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#59
64805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", Modeli
ngToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f
76a81, 0x1c55a673), Nothing}(nothing)), MethodOfLines.var"#71#79"{Vector{Fl
oat64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5
964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", Model
ingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36
f76a81, 0x1c55a673), Nothing}}([0.25862068965517243], RuntimeGeneratedFunct
ions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x)
, ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModT
ag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}
(nothing)), MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunc
tions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x
), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_Mod
Tag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing
}}([0.22413793103448276], RuntimeGeneratedFunctions.RuntimeGeneratedFunctio
n{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_
RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40
, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), MethodOfLines.va
r"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFuncti
on{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#
_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b4
0, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.1896551724137931], Run
timeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#596480516011
1424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitB
ase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1
c55a673), Nothing}(nothing)), MethodOfLines.var"#71#79"{Vector{Float64}, Ru
ntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#59648051601
11424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkit
Base.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x
1c55a673), Nothing}}([0.15517241379310345], RuntimeGeneratedFunctions.Runti
meGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), Modeling
ToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc7
31b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing))
, MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.Runt
imeGeneratedFunction{(Symbol("##arg#5964805160111424296"), :t, :x), Modelin
gToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc
731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([0.1206
896551724138], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("
##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag"
, ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef
2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), MethodOfLines.var"#71#79"{V
ector{Float64}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol(
"##arg#5964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag
", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414ce
f2, 0x36f76a81, 0x1c55a673), Nothing}}([0.08620689655172414], RuntimeGenera
tedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296"),
 :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_
RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), 
Nothing}(nothing)), MethodOfLines.var"#71#79"{Vector{Float64}, RuntimeGener
atedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5964805160111424296")
, :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#
_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673),
 Nothing}}([0.05172413793103448], RuntimeGeneratedFunctions.RuntimeGenerate
dFunction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBas
e.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x
1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}(nothing)), MethodOf
Lines.var"#71#79"{Vector{Float64}, RuntimeGeneratedFunctions.RuntimeGenerat
edFunction{(Symbol("##arg#5964805160111424296"), :t, :x), ModelingToolkitBa
se.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0
x1e999b40, 0x6414cef2, 0x36f76a81, 0x1c55a673), Nothing}}([-0.0172413793103
44827], RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol("##arg#5
964805160111424296"), :t, :x), ModelingToolkitBase.var"#_RGF_ModTag", Model
ingToolkitBase.var"#_RGF_ModTag", (0xc731b114, 0x1e999b40, 0x6414cef2, 0x36
f76a81, 0x1c55a673), Nothing}(nothing))]), nothing, nothing, nothing, nothi
ng, nothing, nothing, nothing, nothing, nothing, nothing, nothing, Modeling
ToolkitBase.ObservedFunctionCache{ModelingToolkitBase.System, Nothing}(Mode
l pdesys2:
Equations (29):
  29 standard: see equations(pdesys2)
Unknowns (29): see unknowns(pdesys2)
  (u(t))[29]
  (u(t))[28]
  (u(t))[27]
  (u(t))[26]
  ⋮
Observed (3): see observed(pdesys2), Dict{Any, Any}(), false, false, Method
OfLines, false, nothing), nothing, Model pdesys2:
Equations (29):
  29 standard: see equations(pdesys2)
Unknowns (29): see unknowns(pdesys2)
  (u(t))[29]
  (u(t))[28]
  (u(t))[27]
  (u(t))[26]
  ⋮
Observed (3): see observed(pdesys2), nothing, nothing), [0.9482758620689655
, 0.9137931034482759, 0.8793103448275862, 0.8448275862068966, 0.98275862068
96549, 0.8103448275862069, 0.7758620689655172, 0.7413793103448276, 0.706896
5517241379, 0.6724137931034483  …  0.3275862068965517, 0.29310344827586204,
 0.25862068965517243, 0.22413793103448276, 0.1896551724137931, 0.1551724137
9310345, 0.1206896551724138, 0.08620689655172414, 0.05172413793103448, -0.0
17241379310344845], (0.0, 20.0), ModelingToolkitBase.MTKParameters{StaticAr
raysCore.SVector{0, Float64}, Vector{Float64}, Tuple{}, Tuple{}, Tuple{}, T
uple{}}(Float64[], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.
0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], (), (), (), ()), Base.Pair
s{Symbol, Union{}, Tuple{}, @NamedTuple{}}(), SciMLBase.StandardODEProblem(
))

Work-Precision Plot for Burgers Equation, Neumann BCs

abstols = 1.0 ./ 10.0 .^ (5:8)
reltols = 1.0 ./ 10.0 .^ (1:4);
setups = [Dict(:alg => solver, :prob_choice => 1),
    Dict(:alg => solver, :prob_choice => 2),
    Dict(:alg => solver, :prob_choice => 3),
    Dict(:alg => solver, :prob_choice => 4),
    Dict(:alg => solver, :prob_choice => 5),
    Dict(:alg => solver, :prob_choice => 6)]
names = ["Uniform Upwind, center_align", "Uniform Upwind, edge_align",
    "Nonuniform Upwind, center_align",
    "Nonuniform Upwind, edge_align", "WENO, center_align", "WENO, edge_align"];

dummy_appxsol = [nothing for i in 1:length(probs2)]
wp = WorkPrecisionSet(probs2, abstols, reltols, setups; names = names,
    save_everystep = false, appxsol = dummy_appxsol, maxiters = Int(1e5),
    numruns = 10, wrap = Val(false))
plot(wp)

Appendix

These benchmarks are a part of the SciMLBenchmarks.jl repository, found at: https://github.com/SciML/SciMLBenchmarks.jl. For more information on high-performance scientific machine learning, check out the SciML Open Source Software Organization https://sciml.ai.

To locally run this benchmark, do the following commands:

using SciMLBenchmarks
SciMLBenchmarks.weave_file("benchmarks/MethodOfLinesPDE","MOL_fdm.jmd")

Computer Information:

Julia Version 1.11.9
Commit 53a02c0720c (2026-02-06 00:27 UTC)
Build Info:
  Official https://julialang.org/ release
Platform Info:
  OS: Linux (x86_64-linux-gnu)
  CPU: 128 × AMD EPYC 7502 32-Core Processor
  WORD_SIZE: 64
  LLVM: libLLVM-16.0.6 (ORCJIT, znver2)
Threads: 128 default, 0 interactive, 64 GC (on 128 virtual cores)
Environment:
  JULIA_NUM_THREADS = auto

Package Information:

Status `/julia/github-runners/amdci1-1/_work/SciMLBenchmarks.jl/SciMLBenchmarks.jl/benchmarks/MethodOfLinesPDE/Project.toml`
  [f3b72e0c] DiffEqDevTools v3.6.3
⌅ [5b8099bc] DomainSets v0.7.18
⌃ [7ed4a6bd] LinearSolve v5.17.3
⌃ [94925ecb] MethodOfLines v1.5.0
⌃ [961ee093] ModelingToolkit v11.43.1
  [1dea7af3] OrdinaryDiffEq v7.8.1
  [d14f9848] PDESystemLibrary v0.1.9
  [91a5bcdd] Plots v1.41.7
  [f2c3362d] RecursiveFactorization v0.2.30
  [31c91b34] SciMLBenchmarks v0.2.1
  [c3572dad] Sundials v6.7.1
Info Packages marked with ⌃ and ⌅ have new versions available. Those with ⌃ may be upgradable, but those with ⌅ are restricted by compatibility constraints from upgrading. To see why use `status --outdated`

And the full manifest:

Status `/julia/github-runners/amdci1-1/_work/SciMLBenchmarks.jl/SciMLBenchmarks.jl/benchmarks/MethodOfLinesPDE/Manifest.toml`
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⌃ [90137ffa] StaticArrays v1.9.20
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Info Packages marked with ⌃ and ⌅ have new versions available. Those with ⌃ may be upgradable, but those with ⌅ are restricted by compatibility constraints from upgrading. To see why use `status --outdated -m`