At the moment this will yield the same behavior for second-order optimization algorithms inside Optimization.jl.
julia> result = Optimization.solve(optprob, Optimization.Sophia(); maxiters=10)
┌ Warning: The selected optimization algorithm requires second order derivatives, but `SecondOrder` ADtype was not provided.
│ So a `SecondOrder` with AutoEnzyme(mode=ReverseMode{false, true, false, FFIABI, false, false}()) for both inner and outer will be created, this can be suboptimal and not work in some cases so
│ an explicit `SecondOrder` ADtype is recommended.
└ @ OptimizationBase ~/.julia/packages/OptimizationBase/Lc8sB/src/cache.jl:49
ERROR: MethodError: no method matching Duplicated(::ComponentVector{Float32, Vector{Float32}, Tuple{Axis{…}}}, ::Vector{Float32})
The type `Duplicated` exists, but no method is defined for this combination of argument types when trying to construct it.
See also: