Using mixed data types with the remake function will lead to an error.

[chooron]

Describe the bug 🐞

I used modelingtoolkit.jl to build an ODE problem, with variables including x (typeof(x) is vector) and z. When I directly construct and solve the problem, there are no errors. However, when I use remake to reconstruct the problem, the following error occurs.

Minimal Reproducible Example 👇

using ModelingToolkit
using OrdinaryDiffEq
using ModelingToolkit: t_nounits as t, D_nounits as D

@parameters σ ρ β
@variables (x(t))[1:2] z(t)

eqs = [D(x[1]) ~ σ * (x[2] - x[1]),
    D(x[2]) ~ x[1] * (ρ - z) - x[2],
    D(z) ~ x[1] * x[2] - β * z]

@mtkbuild sys = ODESystem(eqs, t)

u0 = [x => [1.0, 0.0],
    z => 0.0]

p = [σ => 28.0,
    ρ => 10.0,
    β => 8 / 3]

tspan = (0.0, 100.0)
prob = ODEProblem(sys, u0, tspan, p, jac=true)
sol = solve(prob, Tsit5())

new_prob = remake(prob, p=p, u0=u0)

Error & Stacktrace ⚠️

ERROR: MethodError: no constructors have been defined for Any
Stacktrace:
  [1] _broadcast_getindex_evalf
    @ Base.Broadcast .\broadcast.jl:709 [inlined]
  [2] _broadcast_getindex
    @ Base.Broadcast .\broadcast.jl:682 [inlined]
  [3] getindex
    @ Base.Broadcast .\broadcast.jl:636 [inlined]
  [4] copy
    @ Base.Broadcast .\broadcast.jl:942 [inlined]
  [5] materialize(bc::Base.Broadcast.Broadcasted{Base.Broadcast.DefaultArrayStyle{1}, Nothing, Type{Any}, Tuple{Vector{Any}}})
    @ Base.Broadcast .\broadcast.jl:903
  [6] remake_buffer(sys::ODEProblem{…}, oldbuffer::Vector{…}, vals::Dict{…})
    @ SymbolicIndexingInterface D:\Julia\Julia-1.10.0\packages\packages\SymbolicIndexingInterface\hDTd3\src\remake.jl:27
  [7] _updated_u0_p_symmap(prob::ODEProblem{…}, u0::Dict{…}, ::Val{…}, p::Dict{…}, ::Val{…})
    @ SciMLBase D:\Julia\Julia-1.10.0\packages\packages\SciMLBase\QEvkv\src\remake.jl:508
  [8] _updated_u0_p_internal(prob::ODEProblem{…}, u0::Vector{…}, p::Vector{…}; interpret_symbolicmap::Bool, use_defaults::Bool)
    @ SciMLBase D:\Julia\Julia-1.10.0\packages\packages\SciMLBase\QEvkv\src\remake.jl:427
  [9] _updated_u0_p_internal
    @ D:\Julia\Julia-1.10.0\packages\packages\SciMLBase\QEvkv\src\remake.jl:412 [inlined]
 [10] #updated_u0_p#690
    @ D:\Julia\Julia-1.10.0\packages\packages\SciMLBase\QEvkv\src\remake.jl:548 [inlined]
 [11] updated_u0_p
    @ D:\Julia\Julia-1.10.0\packages\packages\SciMLBase\QEvkv\src\remake.jl:529 [inlined]
 [12] remake(prob::ODEProblem{…}; f::Missing, u0::Vector{…}, tspan::Missing, p::Vector{…}, kwargs::Missing, interpret_symbolicmap::Bool, use_defaults::Bool, _kwargs::@Kwargs{})
    @ SciMLBase D:\Julia\Julia-1.10.0\packages\packages\SciMLBase\QEvkv\src\remake.jl:95
 [13] top-level scope
    @ e:\JlCode\LumpedHydro.jl\test\pkgs\test_mtk_ode.jl:25
Some type information was truncated. Use `show(err)` to see complete types.

Environment (please complete the following information):

st ModelingToolkit
[961ee093] ModelingToolkit v9.13.0

• Output of versioninfo()

Julia Version 1.10.0
Commit 3120989f39 (2023-12-25 18:01 UTC)
Build Info:
  Official https://julialang.org/ release
Platform Info:
  OS: Windows (x86_64-w64-mingw32)
  CPU: 24 × 12th Gen Intel(R) Core(TM) i9-12900HX
  WORD_SIZE: 64
  LIBM: libopenlibm
  LLVM: libLLVM-15.0.7 (ORCJIT, alderlake)
  Threads: 1 on 24 virtual cores
Environment:
  JULIA_DEPOT_PATH = D:\Julia\Julia-1.10.0\packages
  JULIA_PKG_SERVER = https://mirrors.pku.edu.cn/julia/
  JULIA_EDITOR = code
  JULIA_NUM_THREADS = 0

Additional context
I think the data format of u0 will be automatically converted to Any when processing multiple data types, which leads to this error.