Using StaticArrays with EnsembleAnalysis on ODEProblem raises LoadError (setindex!)

**Describe the bug &#128030;**

When calling `componentwise_vectors_timepoint` on an Ensemble Solution of an ODEProblem, if the timepoints provided are given as a SVector, it raises a LoadError due to attempting to use `setindex!` on the SVector.

**Expected behavior**

`componentwise_vectors_timepoint` should return the interpolated solution, as an SVector. Note that this is the behavior that occurs if the Ensemble is from an SDEProblem.

**Minimal Reproducible Example &#128071;**
```julia
using StaticArrays
using DifferentialEquations
using DifferentialEquations.EnsembleAnalysis

SDEprob = SDEProblem((u, p, t) -> 1.01u, (u, p, t) -> 1.01u, 0.5, (0.0, 1.0))
SDEensemble_prob = EnsembleProblem(SDEprob)

prob = ODEProblem((u, p, t) -> 1.01u, 0.5, (0.0, 1.0))
ensemble_prob = EnsembleProblem(prob)

SDEysim = solve(SDEensemble_prob, SOSRI(), trajectories = 1)
ysim = solve(ensemble_prob, Tsit5(), trajectories = 1)

t = SVector{11}(0:0.1:1) # t values we want to interpolate to, converted to SVector

componentwise_vectors_timepoint(SDEysim, t)[1] # Returns the interpolated u as an SVector

componentwise_vectors_timepoint(ysim, t)[1] # MethodError due to using setindex! on t
```


**Error & Stacktrace &#9888;&#65039;**

The SDE timepoint interpolation returns the following:
```julia
t: 11-element SVector{11, Float64} with indices SOneTo(11):
 0.0
 0.1
 0.2
 0.3
 0.4
 0.5
 0.6
 0.7
 0.8
 0.9
 1.0
u: 11-element SVector{11, Float64} with indices SOneTo(11):
 0.5
 0.5546109594698383
 0.8321574072368957
 0.6965533677964221
 0.6559293124311955
 0.4941314584280177
 0.4658099736486656
 0.32344010904393883
 0.28964405720750147
 0.31472125794773376
 0.2209161971944798
```
The error that results from the ODE interpolation is the following:
```julia
ERROR: LoadError: setindex!(::SVector{11, Float64}, value, ::Int) is not defined.
 Hint: Use `MArray` or `SizedArray` to create a mutable static array
Stacktrace:
  [1] error(s::String)
    @ Base ./error.jl:35
  [2] setindex!(a::SVector{11, Float64}, value::Float64, i::Int64)
    @ StaticArrays ~/.julia/packages/StaticArrays/9Yt0H/src/indexing.jl:3
  [3] macro expansion
    @ ~/.julia/packages/StaticArrays/9Yt0H/src/indexing.jl:199 [inlined]
  [4] _setindex!
    @ ~/.julia/packages/StaticArrays/9Yt0H/src/indexing.jl:192 [inlined]
  [5] setindex!
    @ ~/.julia/packages/StaticArrays/9Yt0H/src/indexing.jl:167 [inlined]
  [6] invpermute!(v::SVector{11, Float64}, p::SVector{11, Int64})
    @ Base ./combinatorics.jl:237
  [7] ode_interpolation(tvals::SVector{&hellip;}, id::OrdinaryDiffEqCore.InterpolationData{&hellip;}, idxs::Nothing, deriv::Type{&hellip;}, p::SciMLBase.NullParameters, continuity::Symbol)
    @ OrdinaryDiffEqCore ~/.julia/packages/OrdinaryDiffEqCore/NnA60/src/dense/generic_dense.jl:574
  [8] (::OrdinaryDiffEqCore.InterpolationData{&hellip;})(tvals::SVector{&hellip;}, idxs::Nothing, deriv::Type, p::SciMLBase.NullParameters, continuity::Symbol)
    @ OrdinaryDiffEqCore ~/.julia/packages/OrdinaryDiffEqCore/NnA60/src/interp_func.jl:46
  [9] (::ODESolution{&hellip;})(t::SVector{&hellip;}, ::Type{&hellip;}, idxs::Nothing, continuity::Symbol)
    @ SciMLBase ~/.julia/packages/SciMLBase/fqdZV/src/solutions/ode_solutions.jl:242
 [10] (::ODESolution{&hellip;})(t::SVector{&hellip;}, ::Type{&hellip;}; idxs::Nothing, continuity::Symbol)
    @ SciMLBase ~/.julia/packages/SciMLBase/fqdZV/src/solutions/ode_solutions.jl:224
 [11] (::ODESolution{Float64, 1, Vector{&hellip;}, Nothing, Nothing, Vector{&hellip;}, Vector{&hellip;}, Nothing, ODEProblem{&hellip;}, Tsit5{&hellip;}, OrdinaryDiffEqCore.InterpolationData{&hellip;}, SciMLBase.DEStats, Nothing, Nothing, Nothing, Nothing})(t::SVector{11, Float64}, ::Type{Val{&hellip;}})
    @ SciMLBase ~/.julia/packages/SciMLBase/fqdZV/src/solutions/ode_solutions.jl:219
 [12] (::SciMLBase.EnsembleAnalysis.var"#3#4"{&hellip;})(sol::ODESolution{&hellip;})
    @ SciMLBase.EnsembleAnalysis ./none:0
 [13] iterate
    @ ./generator.jl:48 [inlined]
 [14] componentwise_vectors_timepoint(sim::EnsembleSolution{Float64, 2, Vector{ODESolution{&hellip;}}}, t::SVector{11, Float64})
    @ SciMLBase.EnsembleAnalysis ~/.julia/packages/SciMLBase/fqdZV/src/ensemble/ensemble_analysis.jl:17
 [15] top-level scope
    @ ./toyensemble.jl:18
 [16] include(fname::String)
    @ Main ./sysimg.jl:38
 [17] top-level scope
    @ REPL[3]:1
in expression starting at ./toyensemble.jl:18
Some type information was truncated. Use `show(err)` to see complete types.
```

**Environment (please complete the following information):**

I ran this code in a temporary environment on julia 1.11.1.

  - Output of `using Pkg; Pkg.status()`

```julia
Status `/tmp/jl_Nz9Lu1/Project.toml`
  [0c46a032] DifferentialEquations v7.14.0
  [90137ffa] StaticArrays v1.9.8
```

  - Output of `using Pkg; Pkg.status(; mode = PKGMODE_MANIFEST)`

```julia
Status `/tmp/jl_Nz9Lu1/Manifest.toml`
  [47edcb42] ADTypes v1.9.0
  [1520ce14] AbstractTrees v0.4.5
  [7d9f7c33] Accessors v0.1.38
  [79e6a3ab] Adapt v4.1.0
  [66dad0bd] AliasTables v1.1.3
  [ec485272] ArnoldiMethod v0.4.0
  [4fba245c] ArrayInterface v7.16.0
  [4c555306] ArrayLayouts v1.10.4
  [aae01518] BandedMatrices v1.7.5
  [e2ed5e7c] Bijections v0.1.9
  [62783981] BitTwiddlingConvenienceFunctions v0.1.6
  [764a87c0] BoundaryValueDiffEq v5.11.0
  [fa961155] CEnum v0.5.0
  [2a0fbf3d] CPUSummary v0.2.6
  [d360d2e6] ChainRulesCore v1.25.0
  [fb6a15b2] CloseOpenIntervals v0.1.13
  [861a8166] Combinatorics v1.0.2
  [38540f10] CommonSolve v0.2.4
  [bbf7d656] CommonSubexpressions v0.3.1
  [f70d9fcc] CommonWorldInvalidations v1.0.0
  [34da2185] Compat v4.16.0
  [b152e2b5] CompositeTypes v0.1.4
  [a33af91c] CompositionsBase v0.1.2
  [2569d6c7] ConcreteStructs v0.2.3
  [187b0558] ConstructionBase v1.5.8
  [adafc99b] CpuId v0.3.1
  [9a962f9c] DataAPI v1.16.0
  [864edb3b] DataStructures v0.18.20
  [e2d170a0] DataValueInterfaces v1.0.0
  [bcd4f6db] DelayDiffEq v5.48.1
  [2b5f629d] DiffEqBase v6.158.3
&#8965; [459566f4] DiffEqCallbacks v3.9.1
  [77a26b50] DiffEqNoiseProcess v5.23.0
  [163ba53b] DiffResults v1.1.0
  [b552c78f] DiffRules v1.15.1
  [0c46a032] DifferentialEquations v7.14.0
  [a0c0ee7d] DifferentiationInterface v0.6.16
  [b4f34e82] Distances v0.10.12
  [31c24e10] Distributions v0.25.112
  [ffbed154] DocStringExtensions v0.9.3
  [5b8099bc] DomainSets v0.7.14
  [7c1d4256] DynamicPolynomials v0.6.0
  [4e289a0a] EnumX v1.0.4
  [f151be2c] EnzymeCore v0.8.4
  [d4d017d3] ExponentialUtilities v1.26.1
  [e2ba6199] ExprTools v0.1.10
&#8965; [6b7a57c9] Expronicon v0.8.5
  [9d29842c] FastAlmostBandedMatrices v0.1.4
  [7034ab61] FastBroadcast v0.3.5
  [9aa1b823] FastClosures v0.3.2
  [29a986be] FastLapackInterface v2.0.4
  [a4df4552] FastPower v1.1.0
  [1a297f60] FillArrays v1.13.0
  [6a86dc24] FiniteDiff v2.26.0
  [1fa38f19] Format v1.3.7
  [f6369f11] ForwardDiff v0.10.36
  [069b7b12] FunctionWrappers v1.1.3
  [77dc65aa] FunctionWrappersWrappers v0.1.3
  [d9f16b24] Functors v0.4.12
&#8965; [46192b85] GPUArraysCore v0.1.6
  [14197337] GenericLinearAlgebra v0.3.13
  [c145ed77] GenericSchur v0.5.4
  [86223c79] Graphs v1.12.0
  [3e5b6fbb] HostCPUFeatures v0.1.17
  [34004b35] HypergeometricFunctions v0.3.24
  [615f187c] IfElse v0.1.1
  [d25df0c9] Inflate v0.1.5
  [18e54dd8] IntegerMathUtils v0.1.2
  [8197267c] IntervalSets v0.7.10
  [3587e190] InverseFunctions v0.1.17
  [92d709cd] IrrationalConstants v0.2.2
  [82899510] IteratorInterfaceExtensions v1.0.0
  [692b3bcd] JLLWrappers v1.6.1
  [ccbc3e58] JumpProcesses v9.14.0
  [ef3ab10e] KLU v0.6.0
  [ba0b0d4f] Krylov v0.9.8
  [b964fa9f] LaTeXStrings v1.4.0
  [23fbe1c1] Latexify v0.16.5
  [10f19ff3] LayoutPointers v0.1.17
  [5078a376] LazyArrays v2.2.1
  [2d8b4e74] LevyArea v1.0.0
  [87fe0de2] LineSearch v0.1.4
  [d3d80556] LineSearches v7.3.0
  [7ed4a6bd] LinearSolve v2.36.1
  [2ab3a3ac] LogExpFunctions v0.3.28
  [bdcacae8] LoopVectorization v0.12.171
  [d8e11817] MLStyle v0.4.17
  [1914dd2f] MacroTools v0.5.13
  [d125e4d3] ManualMemory v0.1.8
  [a3b82374] MatrixFactorizations v3.0.1
  [bb5d69b7] MaybeInplace v0.1.4
  [e1d29d7a] Missings v1.2.0
  [46d2c3a1] MuladdMacro v0.2.4
  [102ac46a] MultivariatePolynomials v0.5.7
  [d8a4904e] MutableArithmetics v1.5.2
  [d41bc354] NLSolversBase v7.8.3
  [2774e3e8] NLsolve v4.5.1
  [77ba4419] NaNMath v1.0.2
  [8913a72c] NonlinearSolve v3.15.1
  [6fe1bfb0] OffsetArrays v1.14.1
  [429524aa] Optim v1.9.4
  [bac558e1] OrderedCollections v1.6.3
  [1dea7af3] OrdinaryDiffEq v6.89.0
  [89bda076] OrdinaryDiffEqAdamsBashforthMoulton v1.1.0
  [6ad6398a] OrdinaryDiffEqBDF v1.1.2
  [bbf590c4] OrdinaryDiffEqCore v1.9.0
  [50262376] OrdinaryDiffEqDefault v1.1.0
  [4302a76b] OrdinaryDiffEqDifferentiation v1.1.0
  [9286f039] OrdinaryDiffEqExplicitRK v1.1.0
  [e0540318] OrdinaryDiffEqExponentialRK v1.1.0
  [becaefa8] OrdinaryDiffEqExtrapolation v1.2.0
  [5960d6e9] OrdinaryDiffEqFIRK v1.2.0
  [101fe9f7] OrdinaryDiffEqFeagin v1.1.0
  [d3585ca7] OrdinaryDiffEqFunctionMap v1.1.1
  [d28bc4f8] OrdinaryDiffEqHighOrderRK v1.1.0
  [9f002381] OrdinaryDiffEqIMEXMultistep v1.1.0
  [521117fe] OrdinaryDiffEqLinear v1.1.0
  [1344f307] OrdinaryDiffEqLowOrderRK v1.2.0
  [b0944070] OrdinaryDiffEqLowStorageRK v1.2.1
  [127b3ac7] OrdinaryDiffEqNonlinearSolve v1.2.1
  [c9986a66] OrdinaryDiffEqNordsieck v1.1.0
  [5dd0a6cf] OrdinaryDiffEqPDIRK v1.1.0
  [5b33eab2] OrdinaryDiffEqPRK v1.1.0
  [04162be5] OrdinaryDiffEqQPRK v1.1.0
  [af6ede74] OrdinaryDiffEqRKN v1.1.0
  [43230ef6] OrdinaryDiffEqRosenbrock v1.2.0
  [2d112036] OrdinaryDiffEqSDIRK v1.1.0
  [669c94d9] OrdinaryDiffEqSSPRK v1.2.0
  [e3e12d00] OrdinaryDiffEqStabilizedIRK v1.1.0
  [358294b1] OrdinaryDiffEqStabilizedRK v1.1.0
  [fa646aed] OrdinaryDiffEqSymplecticRK v1.1.0
  [b1df2697] OrdinaryDiffEqTsit5 v1.1.0
  [79d7bb75] OrdinaryDiffEqVerner v1.1.1
  [90014a1f] PDMats v0.11.31
  [65ce6f38] PackageExtensionCompat v1.0.2
  [d96e819e] Parameters v0.12.3
  [e409e4f3] PoissonRandom v0.4.4
  [f517fe37] Polyester v0.7.16
  [1d0040c9] PolyesterWeave v0.2.2
  [f27b6e38] Polynomials v4.0.11
  [85a6dd25] PositiveFactorizations v0.2.4
  [d236fae5] PreallocationTools v0.4.24
  [aea7be01] PrecompileTools v1.2.1
  [21216c6a] Preferences v1.4.3
  [27ebfcd6] Primes v0.5.6
  [43287f4e] PtrArrays v1.2.1
  [1fd47b50] QuadGK v2.11.1
  [74087812] Random123 v1.7.0
  [e6cf234a] RandomNumbers v1.6.0
  [3cdcf5f2] RecipesBase v1.3.4
  [731186ca] RecursiveArrayTools v3.27.0
  [f2c3362d] RecursiveFactorization v0.2.23
  [189a3867] Reexport v1.2.2
  [ae029012] Requires v1.3.0
  [ae5879a3] ResettableStacks v1.1.1
  [79098fc4] Rmath v0.8.0
  [47965b36] RootedTrees v2.23.1
  [7e49a35a] RuntimeGeneratedFunctions v0.5.13
  [94e857df] SIMDTypes v0.1.0
  [476501e8] SLEEFPirates v0.6.43
  [0bca4576] SciMLBase v2.57.1
  [19f34311] SciMLJacobianOperators v0.1.0
  [c0aeaf25] SciMLOperators v0.3.11
  [53ae85a6] SciMLStructures v1.5.0
  [efcf1570] Setfield v1.1.1
  [727e6d20] SimpleNonlinearSolve v1.12.3
  [699a6c99] SimpleTraits v0.9.4
  [ce78b400] SimpleUnPack v1.1.0
  [a2af1166] SortingAlgorithms v1.2.1
  [9f842d2f] SparseConnectivityTracer v0.6.8
  [47a9eef4] SparseDiffTools v2.23.0
  [0a514795] SparseMatrixColorings v0.4.8
  [e56a9233] Sparspak v0.3.9
  [276daf66] SpecialFunctions v2.4.0
  [aedffcd0] Static v1.1.1
  [0d7ed370] StaticArrayInterface v1.8.0
  [90137ffa] StaticArrays v1.9.8
  [1e83bf80] StaticArraysCore v1.4.3
  [10745b16] Statistics v1.11.1
  [82ae8749] StatsAPI v1.7.0
  [2913bbd2] StatsBase v0.34.3
  [4c63d2b9] StatsFuns v1.3.2
  [9672c7b4] SteadyStateDiffEq v2.4.1
  [789caeaf] StochasticDiffEq v6.70.0
  [7792a7ef] StrideArraysCore v0.5.7
  [c3572dad] Sundials v4.26.0
  [2efcf032] SymbolicIndexingInterface v0.3.33
  [19f23fe9] SymbolicLimits v0.2.2
  [d1185830] SymbolicUtils v3.7.2
  [0c5d862f] Symbolics v6.16.0
  [3783bdb8] TableTraits v1.0.1
  [bd369af6] Tables v1.12.0
  [8ea1fca8] TermInterface v2.0.0
  [8290d209] ThreadingUtilities v0.5.2
  [a759f4b9] TimerOutputs v0.5.25
  [d5829a12] TriangularSolve v0.2.1
  [781d530d] TruncatedStacktraces v1.4.0
  [3a884ed6] UnPack v1.0.2
  [a7c27f48] Unityper v0.1.6
  [3d5dd08c] VectorizationBase v0.21.70
  [19fa3120] VertexSafeGraphs v0.2.0
  [1d5cc7b8] IntelOpenMP_jll v2024.2.1+0
  [856f044c] MKL_jll v2024.2.0+0
  [efe28fd5] OpenSpecFun_jll v0.5.5+0
  [f50d1b31] Rmath_jll v0.5.1+0
&#8965; [fb77eaff] Sundials_jll v5.2.3+0
  [1317d2d5] oneTBB_jll v2021.12.0+0
  [0dad84c5] ArgTools v1.1.2
  [56f22d72] Artifacts v1.11.0
  [2a0f44e3] Base64 v1.11.0
  [ade2ca70] Dates v1.11.0
  [8ba89e20] Distributed v1.11.0
  [f43a241f] Downloads v1.6.0
  [7b1f6079] FileWatching v1.11.0
  [9fa8497b] Future v1.11.0
  [b77e0a4c] InteractiveUtils v1.11.0
  [4af54fe1] LazyArtifacts v1.11.0
  [b27032c2] LibCURL v0.6.4
  [76f85450] LibGit2 v1.11.0
  [8f399da3] Libdl v1.11.0
  [37e2e46d] LinearAlgebra v1.11.0
  [56ddb016] Logging v1.11.0
  [d6f4376e] Markdown v1.11.0
  [a63ad114] Mmap v1.11.0
  [ca575930] NetworkOptions v1.2.0
  [44cfe95a] Pkg v1.11.0
  [de0858da] Printf v1.11.0
  [9a3f8284] Random v1.11.0
  [ea8e919c] SHA v0.7.0
  [9e88b42a] Serialization v1.11.0
  [1a1011a3] SharedArrays v1.11.0
  [6462fe0b] Sockets v1.11.0
  [2f01184e] SparseArrays v1.11.0
  [4607b0f0] SuiteSparse
  [fa267f1f] TOML v1.0.3
  [a4e569a6] Tar v1.10.0
  [8dfed614] Test v1.11.0
  [cf7118a7] UUIDs v1.11.0
  [4ec0a83e] Unicode v1.11.0
  [e66e0078] CompilerSupportLibraries_jll v1.1.1+0
  [deac9b47] LibCURL_jll v8.6.0+0
  [e37daf67] LibGit2_jll v1.7.2+0
  [29816b5a] LibSSH2_jll v1.11.0+1
  [c8ffd9c3] MbedTLS_jll v2.28.6+0
  [14a3606d] MozillaCACerts_jll v2023.12.12
  [4536629a] OpenBLAS_jll v0.3.27+1
  [05823500] OpenLibm_jll v0.8.1+2
  [bea87d4a] SuiteSparse_jll v7.7.0+0
  [83775a58] Zlib_jll v1.2.13+1
  [8e850b90] libblastrampoline_jll v5.11.0+0
  [8e850ede] nghttp2_jll v1.59.0+0
  [3f19e933] p7zip_jll v17.4.0+2
Info Packages marked with &#8965; have new versions available but compatibility constraints restrict them from upgrading. To see why use `status --outdated -m`
```

  - Output of `versioninfo()`

```julia
Julia Version 1.11.1
Commit 8f5b7ca12ad (2024-10-16 10:53 UTC)
Build Info:
  Official https://julialang.org/ release
Platform Info:
  OS: Linux (x86_64-linux-gnu)
  CPU: 16 &times; AMD Ryzen 7 5700X3D 8-Core Processor
  WORD_SIZE: 64
  LLVM: libLLVM-16.0.6 (ORCJIT, znver3)
Threads: 1 default, 0 interactive, 1 GC (on 16 virtual cores)
```

**Additional context**

I originally posted about this issue [here](https://discourse.julialang.org/t/using-staticarrays-with-ensembleanalysis-runs-with-sdeproblem-but-not-odeproblem/121837), but the context isn't particularly important.


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Using StaticArrays with EnsembleAnalysis on ODEProblem raises LoadError (setindex!) #1060

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Using StaticArrays with EnsembleAnalysis on ODEProblem raises LoadError (setindex!) #1060

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