Type-instability arising from initial condition #1023

fgittins · 2024-03-20T12:17:33Z

Edit

The initial post is out of date. I initially thought that the type-instability came from the ODESolution being passed as an argument to another ODE. This was wrong.

The type-instability actually came from the type of the initial condition. The initial condition was an Int64 when it needed to be a Float64. This is still somewhat surprising, since I would expect Julia's compiler to know to promote the type of the initial condition based on the ODE.

Describe the bug 🐞

Solving an ODE when passing an ODESolution as a parameter is type-unstable.

Expected behavior

Julia's compiler should be able to fully infer the type of the final ODESolution.

Minimal Reproducible Example 👇

The type-instability arises when an ODESolution is passed to an ODE as a parameter param. Here I include a minimal example of where I first came into contact with this behaviour.

I first solve an ODE structure! and then pass its ODESolution to another ODE perturbation. All the types are fully inferred, except for the second solution sol2.

using DifferentialEquations

ε(n, K, p) = (p/K)^(n/(n + 1))
Γ(n, K, p) = (1 + 1/n)*(1 + p/ε(n, K, p))

function structure!(dy_dr, y, param, r)
    m, p = y
    n, K = param

    εᵣ = ε(n, K, p)

    dν_dr = 2*(m + 4*π*r^3*p)/(r*(r - 2*m))

    dy_dr[1] = 4*π*r^2*εᵣ
    dy_dr[2] = - (εᵣ + p)*dν_dr/2
    dy_dr
end

function perturbation(y, param, r)
    n, K, sol = param

    m, p = sol(r)

    εᵣ = ε(n, K, p)
    Γᵣ = Γ(n, K, p)

    expλ = 1/(1 - 2*m/r)
    dν_dr = 2*(m + 4*π*r^3*p)/(r*(r - 2*m))

    dy_dr = (- (y - 1)*y - (2 + expλ*(2*m/r + 4*π*r^2*(p - εᵣ)))*y
             + 6*expλ - 4*π*expλ*r^2*(5*εᵣ + 9*p + (εᵣ + p)^2/(Γᵣ*p))
             + (r*dν_dr)^2)/r
    dy_dr
end

function main()
    n, K = 1, 100
    pc = 3.940e-4

    rspan = (1e-5, 8)

    prob1 = ODEProblem{true}(structure!, [0, pc], rspan, (n, K))
    sol1 = solve(prob1, Tsit5())

    prob2 = ODEProblem{false}(perturbation, 2, rspan, (n, K, sol1))
    sol2 = solve(prob2, Tsit5())
end

Error & Stacktrace ⚠️

When I examine the types, I find

julia> @code_warntype main()
MethodInstance for main()
  from main() @ Main REPL[6]:1
Arguments
  #self#::Core.Const(main)
Locals
  sol2::Any
  prob2::ODEProblem{Int64, Tuple{Float64, Float64}, false, Tuple{Int64, Int64, ODESolution{Float64, 2, Vector{Vector{Float64}}, Nothing, Nothing, Vector{Float64}, Vector{Vector{Vector{Float64}}}, ODEProblem{Vector{Float64}, Tuple{Float64, Float64}, true, Tuple{Int64, Int64}, ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, Tuple{Int64, Int64}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Tuple{Int64, Int64}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Tuple{Int64, Int64}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Tuple{Int64, Int64}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}, SciMLBase.StandardODEProblem}, Tsit5{typeof(OrdinaryDiffEq.trivial_limiter!), typeof(OrdinaryDiffEq.trivial_limiter!), Static.False}, OrdinaryDiffEq.InterpolationData{ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, Tuple{Int64, Int64}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Tuple{Int64, Int64}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Tuple{Int64, Int64}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Tuple{Int64, Int64}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Vector{Vector{Float64}}, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Nothing, OrdinaryDiffEq.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEq.trivial_limiter!), typeof(OrdinaryDiffEq.trivial_limiter!), Static.False}, Nothing}, SciMLBase.DEStats, Nothing}}, ODEFunction{false, SciMLBase.AutoSpecialize, typeof(perturbation), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}, SciMLBase.StandardODEProblem}
  sol1::ODESolution{Float64, 2, Vector{Vector{Float64}}, Nothing, Nothing, Vector{Float64}, Vector{Vector{Vector{Float64}}}, ODEProblem{Vector{Float64}, Tuple{Float64, Float64}, true, Tuple{Int64, Int64}, ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, Tuple{Int64, Int64}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Tuple{Int64, Int64}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Tuple{Int64, Int64}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Tuple{Int64, Int64}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}, SciMLBase.StandardODEProblem}, Tsit5{typeof(OrdinaryDiffEq.trivial_limiter!), typeof(OrdinaryDiffEq.trivial_limiter!), Static.False}, OrdinaryDiffEq.InterpolationData{ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, Tuple{Int64, Int64}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Tuple{Int64, Int64}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Tuple{Int64, Int64}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Tuple{Int64, Int64}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Vector{Vector{Float64}}, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Nothing, OrdinaryDiffEq.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEq.trivial_limiter!), typeof(OrdinaryDiffEq.trivial_limiter!), Static.False}, Nothing}, SciMLBase.DEStats, Nothing}
  prob1::ODEProblem{Vector{Float64}, Tuple{Float64, Float64}, true, Tuple{Int64, Int64}, ODEFunction{true, SciMLBase.AutoSpecialize, typeof(structure!), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}, SciMLBase.StandardODEProblem}
  rspan::Tuple{Float64, Int64}
  pc::Float64
  K::Int64
  n::Int64
Body::Any
1 ─       (n = 1)
│         (K = 100)
│         (pc = 0.000394)
│         (rspan = Core.tuple(1.0e-5, 8))
│   %5  = Core.apply_type(Main.ODEProblem, true)::Core.Const(ODEProblem{true})
│   %6  = Main.structure!::Core.Const(structure!)
│   %7  = Base.vect(0, pc::Core.Const(0.000394))::Vector{Float64}
│   %8  = rspan::Core.Const((1.0e-5, 8))
│   %9  = Core.tuple(n::Core.Const(1), K::Core.Const(100))::Core.Const((1, 100))
│         (prob1 = (%5)(%6, %7, %8, %9))
│   %11 = prob1::ODEProblem{Vector{Float64}, Tuple{Float64, Float64}, true, Tuple{Int64, Int64}, ODEFunction{true, SciMLBase.AutoSpecialize, typeof(structure!), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}, SciMLBase.StandardODEProblem}
│   %12 = Main.Tsit5()::Core.Const(Tsit5(; stage_limiter! = trivial_limiter!, step_limiter! = trivial_limiter!, thread = static(false),))
│         (sol1 = Main.solve(%11, %12))
│   %14 = Core.apply_type(Main.ODEProblem, false)::Core.Const(ODEProblem{false})
│   %15 = Main.perturbation::Core.Const(perturbation)
│   %16 = rspan::Core.Const((1.0e-5, 8))
│   %17 = Core.tuple(n::Core.Const(1), K::Core.Const(100), sol1)::Core.PartialStruct(Tuple{Int64, Int64, ODESolution{Float64, 2, Vector{Vector{Float64}}, Nothing, Nothing, Vector{Float64}, Vector{Vector{Vector{Float64}}}, ODEProblem{Vector{Float64}, Tuple{Float64, Float64}, true, Tuple{Int64, Int64}, ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, Tuple{Int64, Int64}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Tuple{Int64, Int64}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Tuple{Int64, Int64}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Tuple{Int64, Int64}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}, SciMLBase.StandardODEProblem}, Tsit5{typeof(OrdinaryDiffEq.trivial_limiter!), typeof(OrdinaryDiffEq.trivial_limiter!), Static.False}, OrdinaryDiffEq.InterpolationData{ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, Tuple{Int64, Int64}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Tuple{Int64, Int64}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Tuple{Int64, Int64}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Tuple{Int64, Int64}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Vector{Vector{Float64}}, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Nothing, OrdinaryDiffEq.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEq.trivial_limiter!), typeof(OrdinaryDiffEq.trivial_limiter!), Static.False}, Nothing}, SciMLBase.DEStats, Nothing}}, Any[Core.Const(1), Core.Const(100), ODESolution{Float64, 2, Vector{Vector{Float64}}, Nothing, Nothing, Vector{Float64}, Vector{Vector{Vector{Float64}}}, ODEProblem{Vector{Float64}, Tuple{Float64, Float64}, true, Tuple{Int64, Int64}, ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, Tuple{Int64, Int64}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Tuple{Int64, Int64}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Tuple{Int64, Int64}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Tuple{Int64, Int64}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}, SciMLBase.StandardODEProblem}, Tsit5{typeof(OrdinaryDiffEq.trivial_limiter!), typeof(OrdinaryDiffEq.trivial_limiter!), Static.False}, OrdinaryDiffEq.InterpolationData{ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, Tuple{Int64, Int64}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Tuple{Int64, Int64}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Tuple{Int64, Int64}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Tuple{Int64, Int64}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Vector{Vector{Float64}}, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Nothing, OrdinaryDiffEq.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEq.trivial_limiter!), typeof(OrdinaryDiffEq.trivial_limiter!), Static.False}, Nothing}, SciMLBase.DEStats, Nothing}])
│         (prob2 = (%14)(%15, 2, %16, %17))
│   %19 = prob2::ODEProblem{Int64, Tuple{Float64, Float64}, false, Tuple{Int64, Int64, ODESolution{Float64, 2, Vector{Vector{Float64}}, Nothing, Nothing, Vector{Float64}, Vector{Vector{Vector{Float64}}}, ODEProblem{Vector{Float64}, Tuple{Float64, Float64}, true, Tuple{Int64, Int64}, ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, Tuple{Int64, Int64}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Tuple{Int64, Int64}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Tuple{Int64, Int64}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Tuple{Int64, Int64}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}, SciMLBase.StandardODEProblem}, Tsit5{typeof(OrdinaryDiffEq.trivial_limiter!), typeof(OrdinaryDiffEq.trivial_limiter!), Static.False}, OrdinaryDiffEq.InterpolationData{ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, Tuple{Int64, Int64}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Tuple{Int64, Int64}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Tuple{Int64, Int64}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Tuple{Int64, Int64}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Vector{Vector{Float64}}, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Nothing, OrdinaryDiffEq.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEq.trivial_limiter!), typeof(OrdinaryDiffEq.trivial_limiter!), Static.False}, Nothing}, SciMLBase.DEStats, Nothing}}, ODEFunction{false, SciMLBase.AutoSpecialize, typeof(perturbation), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}, SciMLBase.StandardODEProblem}
│   %20 = Main.Tsit5()::Core.Const(Tsit5(; stage_limiter! = trivial_limiter!, step_limiter! = trivial_limiter!, thread = static(false),))
│   %21 = Main.solve(%19, %20)::Any
│         (sol2 = %21)
└──       return %21

Note that all the types are inferred correctly, until sol2, which is Any.

Environment (please complete the following information):

Output of using Pkg; Pkg.status()

julia> using Pkg; Pkg.status()
Status `~/.julia/environments/v1.10/Project.toml`
  [6e4b80f9] BenchmarkTools v1.5.0
  [0c46a032] DifferentialEquations v7.13.0
  [a98d9a8b] Interpolations v0.15.1
  [8913a72c] NonlinearSolve v3.8.0
  [91a5bcdd] Plots v1.40.2
  [90137ffa] StaticArrays v1.9.3

Output of using Pkg; Pkg.status(; mode = PKGMODE_MANIFEST)

julia> Pkg.status(; mode = PKGMODE_MANIFEST)
Status `~/.julia/environments/v1.10/Manifest.toml`
  [47edcb42] ADTypes v0.2.7
  [79e6a3ab] Adapt v4.0.3
⌅ [ec485272] ArnoldiMethod v0.2.0
  [4fba245c] ArrayInterface v7.9.0
  [4c555306] ArrayLayouts v1.7.0
  [13072b0f] AxisAlgorithms v1.1.0
  [aae01518] BandedMatrices v1.6.1
  [6e4b80f9] BenchmarkTools v1.5.0
  [d1d4a3ce] BitFlags v0.1.8
  [62783981] BitTwiddlingConvenienceFunctions v0.1.5
  [764a87c0] BoundaryValueDiffEq v5.6.3
  [fa961155] CEnum v0.5.0
  [2a0fbf3d] CPUSummary v0.2.4
  [49dc2e85] Calculus v0.5.1
  [d360d2e6] ChainRulesCore v1.23.0
  [fb6a15b2] CloseOpenIntervals v0.1.12
  [523fee87] CodecBzip2 v0.8.2
  [944b1d66] CodecZlib v0.7.4
  [35d6a980] ColorSchemes v3.24.0
  [3da002f7] ColorTypes v0.11.4
  [c3611d14] ColorVectorSpace v0.10.0
  [5ae59095] Colors v0.12.10
  [38540f10] CommonSolve v0.2.4
  [bbf7d656] CommonSubexpressions v0.3.0
  [34da2185] Compat v4.14.0
  [2569d6c7] ConcreteStructs v0.2.3
  [f0e56b4a] ConcurrentUtilities v2.4.1
  [187b0558] ConstructionBase v1.5.5
  [d38c429a] Contour v0.6.2
  [adafc99b] CpuId v0.3.1
  [9a962f9c] DataAPI v1.16.0
  [864edb3b] DataStructures v0.18.18
  [e2d170a0] DataValueInterfaces v1.0.0
  [bcd4f6db] DelayDiffEq v5.47.1
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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`

Output of versioninfo()

julia> versioninfo()
Julia Version 1.10.2
Commit bd47eca2c8a (2024-03-01 10:14 UTC)
Build Info:
  Official https://julialang.org/ release
Platform Info:
  OS: macOS (arm64-apple-darwin22.4.0)
  CPU: 8 × Apple M1
  WORD_SIZE: 64
  LIBM: libopenlibm
  LLVM: libLLVM-15.0.7 (ORCJIT, apple-m1)
Threads: 1 default, 0 interactive, 1 GC (on 4 virtual cores)

Additional context

Although in my example, I use sol1 to interpolate in perturbation, I have verified that this is not the source of the instability. I can change perturbation to

function perturbation(y, param, r)
    n, K, sol = param

    ξ = π*r/8
    m = 2*(sin(ξ) - ξ*(cos(ξ)))/ξ^2
    p = 3.940e-4*(sin(ξ)/ξ)^2

    εᵣ = ε(n, K, p)
    Γᵣ = Γ(n, K, p)

    expλ = 1/(1 - 2*m/r)
    dν_dr = 2*(m + 4*π*r^3*p)/(r*(r - 2*m))

    dy_dr = (- (y - 1)*y - (2 + expλ*(2*m/r + 4*π*r^2*(p - εᵣ)))*y
             + 6*expλ - 4*π*expλ*r^2*(5*εᵣ + 9*p + (εᵣ + p)^2/(Γᵣ*p))
             + (r*dν_dr)^2)/r
    dy_dr
end

and the type-instability persists.

Also, in putting together my minimal example, I tried the following (simpler) code:

using DifferentialEquations

f(u, p, t) = 1.01*u

function main()
   u0 = 1/2
   tspan = (0, 1)
   
   prob1 = ODEProblem{false}(f, u0, tspan)
   sol1 = solve(prob1, Tsit5())
   
   prob2 = ODEProblem{false}(f, u0, tspan, sol1)
   sol2 = solve(prob2, Tsit5())
end

However, in this case, type-inference fails at sol1, whereas my above example fails at sol2.

Output:

julia> @code_warntype main()
MethodInstance for main()
  from main() @ Main REPL[3]:1
Arguments
  #self#::Core.Const(main)
Locals
  sol2::Any
  prob2::ODEProblem{Float64, Tuple{Int64, Int64}, false, _A, ODEFunction{false, SciMLBase.AutoSpecialize, typeof(f), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}, SciMLBase.StandardODEProblem} where _A
  sol1::Any
  prob1::ODEProblem{Float64, Tuple{Int64, Int64}, false, SciMLBase.NullParameters, ODEFunction{false, SciMLBase.AutoSpecialize, typeof(f), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}, SciMLBase.StandardODEProblem}
  tspan::Tuple{Int64, Int64}
  u0::Float64
Body::Any
1 ─       (u0 = 1 / 2)
│         (tspan = Core.tuple(0, 1))
│   %3  = Core.apply_type(Main.ODEProblem, false)::Core.Const(ODEProblem{false})
│   %4  = Main.f::Core.Const(f)
│   %5  = u0::Core.Const(0.5)
│         (prob1 = (%3)(%4, %5, tspan::Core.Const((0, 1))))
│   %7  = prob1::ODEProblem{Float64, Tuple{Int64, Int64}, false, SciMLBase.NullParameters, ODEFunction{false, SciMLBase.AutoSpecialize, typeof(f), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}, SciMLBase.StandardODEProblem}
│   %8  = Main.Tsit5()::Core.Const(Tsit5(; stage_limiter! = trivial_limiter!, step_limiter! = trivial_limiter!, thread = static(false),))
│         (sol1 = Main.solve(%7, %8))
│   %10 = Core.apply_type(Main.ODEProblem, false)::Core.Const(ODEProblem{false})
│   %11 = Main.f::Core.Const(f)
│   %12 = u0::Core.Const(0.5)
│   %13 = tspan::Core.Const((0, 1))
│         (prob2 = (%10)(%11, %12, %13, sol1))
│   %15 = prob2::ODEProblem{Float64, Tuple{Int64, Int64}, false, _A, ODEFunction{false, SciMLBase.AutoSpecialize, typeof(f), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}, SciMLBase.StandardODEProblem} where _A
│   %16 = Main.Tsit5()::Core.Const(Tsit5(; stage_limiter! = trivial_limiter!, step_limiter! = trivial_limiter!, thread = static(false),))
│   %17 = Main.solve(%15, %16)::Any
│         (sol2 = %17)
└──       return %17

The text was updated successfully, but these errors were encountered:

lhapp27 · 2024-03-22T02:09:15Z

I just encountered a similar problem, however for SecondOrderODEProblem. Also, similarly to your second example, this occurs already before, and therefore independently of, passing the solution further into another call of ODEProblem. Please note that I am literally using this pacakge for 1 day, so I cannot rule out incorrect usage from my own side.

MWE:

function fun!(ddu, du, u, p, r)
    ddu[1] = -exp(-r^2)*u[1]
end
function main()
    du0 = [1.0]
    u0 = [0.0]
    tspan = (0.0,20.0)
    prob = SecondOrderODEProblem(fun!,du0,u0,tspan)
    sol = solve(prob, Tsit5())
end

Output of @code_warntype:

@code_warntype main()
MethodInstance for main()
  from main() @ Main REPL[3]:1
Arguments
  #self#::Core.Const(main)
Locals
  sol::Any
  prob::Any
  tspan::Tuple{Float64, Float64}
  u0::Vector{Float64}
  du0::Vector{Float64}
Body::Any
1 ─      (du0 = Base.vect(1.0))
│        (u0 = Base.vect(0.0))
│        (tspan = Core.tuple(0.0, 20.0))
│        (prob = Main.SecondOrderODEProblem(Main.fun!, du0, u0, tspan::Core.Const((0.0, 20.0))))
│   %5 = prob::Any
│   %6 = Main.Tsit5()::Core.Const(Tsit5(; stage_limiter! = trivial_limiter!, step_limiter! = trivial_limiter!, thread = static(false),))
│   %7 = Main.solve(%5, %6)::Any
│        (sol = %7)
└──      return %7

Further info:
julia version 1.9.4

packages:

using Pkg; Pkg.status()
  [be6e5d0e] Antique v0.3.1
  [6e4b80f9] BenchmarkTools v1.5.0
  [34da2185] Compat v4.14.0
  [5a033b19] CurveFit v0.6.0
  [a93c6f00] DataFrames v1.6.1
  [864edb3b] DataStructures v0.18.18
  [31c24e10] Distributions v0.25.107
  [ffbed154] DocStringExtensions v0.9.3
  [6912e4f1] Espresso v0.6.1
  [442a2c76] FastGaussQuadrature v1.0.2
  [5789e2e9] FileIO v1.16.3
  [c58ffaec] FortranFiles v0.6.0
  [92c85e6c] GSL v1.0.1
  [c27321d9] Glob v1.3.1
  [19dc6840] HCubature v1.6.0
  [34004b35] HypergeometricFunctions v0.3.23
  [a98d9a8b] Interpolations v0.15.1
  [4138dd39] JLD v0.13.4
  [033835bb] JLD2 v0.4.46
  [98e50ef6] JuliaFormatter v1.0.54
  [b964fa9f] LaTeXStrings v1.3.1
  [2fda8390] LsqFit v0.15.0
  [23992714] MAT v0.10.6
  [eff96d63] Measurements v2.11.0
  [d41bc354] NLSolversBase v7.8.3
⌅ [8913a72c] NonlinearSolve v3.4.0
  [6fe1bfb0] OffsetArrays v1.13.0
  [67456a42] OhMyThreads v0.5.0
  [429524aa] Optim v1.9.3
⌅ [1dea7af3] OrdinaryDiffEq v6.66.0
  [d96e819e] Parameters v0.12.3
  [793d2195] PartialWaveFunctions v0.2.0
  [a03496cd] PlotlyBase v0.8.19
  [f0f68f2c] PlotlyJS v0.18.13
⌅ [91a5bcdd] Plots v1.39.0
  [c46f51b8] ProfileView v1.7.2
  [1fd47b50] QuadGK v2.9.4
  [295af30f] Revise v3.5.14
  [f2b01f46] Roots v2.1.5
  [efcf1570] Setfield v1.1.1
  [276daf66] SpecialFunctions v2.3.1
  [90137ffa] StaticArrays v1.9.3
  [82ae8749] StatsAPI v1.7.0
  [2913bbd2] StatsBase v0.34.2
  [fd094767] Suppressor v0.2.6
  [bd369af6] Tables v1.11.1
  [0796e94c] Tokenize v0.5.28
  [770da0de] UpdateJulia v0.4.4
  [8ba89e20] Distributed
  [de0858da] Printf
  [1a1011a3] SharedArrays
Info Packages marked with ⌅ have new versions available but compatibility constraints restrict them from upgrading. To see why use `status --outdated`

fgittins · 2024-03-22T09:29:22Z

The type-instability for your ODE is resolved if the function is declared isinplace or not (see the documentation):

function main()
   du0 = [1.0]
   u0 = [0.0]
   tspan = (0.0,20.0)
   prob = SecondOrderODEProblem{true}(fun!,du0,u0,tspan)
   sol = solve(prob, Tsit5())
end

With this change, all types are now fully inferred:

julia> @code_warntype main()
MethodInstance for main()
  from main() @ Main REPL[3]:1
Arguments
  #self#::Core.Const(main)
Locals
  sol::ODESolution{Float64, 2, Vector{ArrayPartition{Float64, Tuple{Vector{Float64}, Vector{Float64}}}}, Nothing, Nothing, Vector{Float64}, Vector{Vector{ArrayPartition{Float64, Tuple{Vector{Float64}, Vector{Float64}}}}}, ODEProblem{ArrayPartition{Float64, Tuple{Vector{Float64}, Vector{Float64}}}, Tuple{Float64, Float64}, true, SciMLBase.NullParameters, DynamicalODEFunction{true, SciMLBase.FullSpecialize, ODEFunction{true, SciMLBase.FullSpecialize, typeof(fun!), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, ODEFunction{true, SciMLBase.FullSpecialize, SciMLBase.var"#313#315", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing}, Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}, SecondOrderODEProblem{true}}, Tsit5{typeof(OrdinaryDiffEq.trivial_limiter!), typeof(OrdinaryDiffEq.trivial_limiter!), Static.False}, OrdinaryDiffEq.InterpolationData{DynamicalODEFunction{true, SciMLBase.FullSpecialize, ODEFunction{true, SciMLBase.FullSpecialize, typeof(fun!), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, ODEFunction{true, SciMLBase.FullSpecialize, SciMLBase.var"#313#315", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing}, Vector{ArrayPartition{Float64, Tuple{Vector{Float64}, Vector{Float64}}}}, Vector{Float64}, Vector{Vector{ArrayPartition{Float64, Tuple{Vector{Float64}, Vector{Float64}}}}}, Nothing, OrdinaryDiffEq.Tsit5Cache{ArrayPartition{Float64, Tuple{Vector{Float64}, Vector{Float64}}}, ArrayPartition{Float64, Tuple{Vector{Float64}, Vector{Float64}}}, ArrayPartition{Float64, Tuple{Vector{Float64}, Vector{Float64}}}, typeof(OrdinaryDiffEq.trivial_limiter!), typeof(OrdinaryDiffEq.trivial_limiter!), Static.False}, Nothing}, SciMLBase.DEStats, Nothing}
  prob::ODEProblem{ArrayPartition{Float64, Tuple{Vector{Float64}, Vector{Float64}}}, Tuple{Float64, Float64}, true, SciMLBase.NullParameters, DynamicalODEFunction{true, SciMLBase.FullSpecialize, ODEFunction{true, SciMLBase.FullSpecialize, typeof(fun!), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, ODEFunction{true, SciMLBase.FullSpecialize, SciMLBase.var"#313#315", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing}, Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}, SecondOrderODEProblem{true}}
  tspan::Tuple{Float64, Float64}
  u0::Vector{Float64}
  du0::Vector{Float64}
Body::ODESolution{Float64, 2, Vector{ArrayPartition{Float64, Tuple{Vector{Float64}, Vector{Float64}}}}, Nothing, Nothing, Vector{Float64}, Vector{Vector{ArrayPartition{Float64, Tuple{Vector{Float64}, Vector{Float64}}}}}, ODEProblem{ArrayPartition{Float64, Tuple{Vector{Float64}, Vector{Float64}}}, Tuple{Float64, Float64}, true, SciMLBase.NullParameters, DynamicalODEFunction{true, SciMLBase.FullSpecialize, ODEFunction{true, SciMLBase.FullSpecialize, typeof(fun!), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, ODEFunction{true, SciMLBase.FullSpecialize, SciMLBase.var"#313#315", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing}, Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}, SecondOrderODEProblem{true}}, Tsit5{typeof(OrdinaryDiffEq.trivial_limiter!), typeof(OrdinaryDiffEq.trivial_limiter!), Static.False}, OrdinaryDiffEq.InterpolationData{DynamicalODEFunction{true, SciMLBase.FullSpecialize, ODEFunction{true, SciMLBase.FullSpecialize, typeof(fun!), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, ODEFunction{true, SciMLBase.FullSpecialize, SciMLBase.var"#313#315", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing}, Vector{ArrayPartition{Float64, Tuple{Vector{Float64}, Vector{Float64}}}}, Vector{Float64}, Vector{Vector{ArrayPartition{Float64, Tuple{Vector{Float64}, Vector{Float64}}}}}, Nothing, OrdinaryDiffEq.Tsit5Cache{ArrayPartition{Float64, Tuple{Vector{Float64}, Vector{Float64}}}, ArrayPartition{Float64, Tuple{Vector{Float64}, Vector{Float64}}}, ArrayPartition{Float64, Tuple{Vector{Float64}, Vector{Float64}}}, typeof(OrdinaryDiffEq.trivial_limiter!), typeof(OrdinaryDiffEq.trivial_limiter!), Static.False}, Nothing}, SciMLBase.DEStats, Nothing}
1 ─       (du0 = Base.vect(1.0))
│         (u0 = Base.vect(0.0))
│         (tspan = Core.tuple(0.0, 20.0))
│   %4  = Core.apply_type(Main.SecondOrderODEProblem, true)::Core.Const(SecondOrderODEProblem{true})
│   %5  = Main.fun!::Core.Const(fun!)
│   %6  = du0::Vector{Float64}
│   %7  = u0::Vector{Float64}
│         (prob = (%4)(%5, %6, %7, tspan::Core.Const((0.0, 20.0))))
│   %9  = prob::ODEProblem{ArrayPartition{Float64, Tuple{Vector{Float64}, Vector{Float64}}}, Tuple{Float64, Float64}, true, SciMLBase.NullParameters, DynamicalODEFunction{true, SciMLBase.FullSpecialize, ODEFunction{true, SciMLBase.FullSpecialize, typeof(fun!), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, ODEFunction{true, SciMLBase.FullSpecialize, SciMLBase.var"#313#315", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing}, Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}, SecondOrderODEProblem{true}}
│   %10 = Main.Tsit5()::Core.Const(Tsit5(; stage_limiter! = trivial_limiter!, step_limiter! = trivial_limiter!, thread = static(false),))
│   %11 = Main.solve(%9, %10)::ODESolution{Float64, 2, Vector{ArrayPartition{Float64, Tuple{Vector{Float64}, Vector{Float64}}}}, Nothing, Nothing, Vector{Float64}, Vector{Vector{ArrayPartition{Float64, Tuple{Vector{Float64}, Vector{Float64}}}}}, ODEProblem{ArrayPartition{Float64, Tuple{Vector{Float64}, Vector{Float64}}}, Tuple{Float64, Float64}, true, SciMLBase.NullParameters, DynamicalODEFunction{true, SciMLBase.FullSpecialize, ODEFunction{true, SciMLBase.FullSpecialize, typeof(fun!), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, ODEFunction{true, SciMLBase.FullSpecialize, SciMLBase.var"#313#315", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing}, Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}, SecondOrderODEProblem{true}}, Tsit5{typeof(OrdinaryDiffEq.trivial_limiter!), typeof(OrdinaryDiffEq.trivial_limiter!), Static.False}, OrdinaryDiffEq.InterpolationData{DynamicalODEFunction{true, SciMLBase.FullSpecialize, ODEFunction{true, SciMLBase.FullSpecialize, typeof(fun!), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, ODEFunction{true, SciMLBase.FullSpecialize, SciMLBase.var"#313#315", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing}, Vector{ArrayPartition{Float64, Tuple{Vector{Float64}, Vector{Float64}}}}, Vector{Float64}, Vector{Vector{ArrayPartition{Float64, Tuple{Vector{Float64}, Vector{Float64}}}}}, Nothing, OrdinaryDiffEq.Tsit5Cache{ArrayPartition{Float64, Tuple{Vector{Float64}, Vector{Float64}}}, ArrayPartition{Float64, Tuple{Vector{Float64}, Vector{Float64}}}, ArrayPartition{Float64, Tuple{Vector{Float64}, Vector{Float64}}}, typeof(OrdinaryDiffEq.trivial_limiter!), typeof(OrdinaryDiffEq.trivial_limiter!), Static.False}, Nothing}, SciMLBase.DEStats, Nothing}
│         (sol = %11)
└──       return %11

lhapp27 · 2024-03-22T09:39:37Z

Ah thank you, I am sorry to have highjacked your issue. I really thought it's a similar problem.

fgittins · 2024-03-22T11:58:14Z

I have found a way to remove the type-instability. If I change the initial condition passed to prob2 to be 2.0 rather than 2,

prob2 = ODEProblem{false}(perturbation, 2.0, rspan, (n, K, sol1))

then the types are fully inferred.

In retrospect, this should have been obvious. I was passing an Int64 as the initial value, when it needed to be a Float64. This is also why the other example I considered above is type-unstable.

However, I am surprised that Julia's compiler was unable to infer from the ODE and the other arguments that the initial condition needed to be promoted to a Float64. If this isn't possible, I am happy to close this issue.

ChrisRackauckas · 2024-03-22T12:41:25Z

It should be possible. It is odd that promote_type just gives up here.

fgittins added the bug label Mar 20, 2024

fgittins changed the title ~~Type-instability when passing an ODESolution to an ODE~~ Type-instability arising from initial condition Apr 6, 2024

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Type-instability arising from initial condition #1023

Type-instability arising from initial condition #1023

fgittins commented Mar 20, 2024 •

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Type-instability arising from initial condition #1023

Type-instability arising from initial condition #1023

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fgittins commented Mar 20, 2024 •

edited

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