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Highly invalidating method: promote_rule(::Type{R}, ::Type{ForwardDiff.Dual{T, V, N}}) where {R<:Real, T, V, N} #620

Closed
@ChrisRackauckas

Description

@ChrisRackauckas

Found by:

using SnoopCompile
invalidations = @snoopr begin
    using OrdinaryDiffEq

    function lorenz(du, u, p, t)
        du[1] = 10.0(u[2] - u[1])
        du[2] = u[1] * (28.0 - u[3]) - u[2]
        du[3] = u[1] * u[2] - (8 / 3) * u[3]
    end
    u0 = [1.0; 0.0; 0.0]
    tspan = (0.0, 100.0)
    prob = ODEProblem{true,false}(lorenz, u0, tspan)
    alg = Rodas5()
    tinf = solve(prob, alg)
end;

trees = SnoopCompile.invalidation_trees(invalidations);

@show length(SnoopCompile.uinvalidated(invalidations)) # show total invalidations

show(trees[end]) # show the most invalidated method

# Count number of children (number of invalidations per invalidated method)
n_invalidations = map(trees) do methinvs
    SnoopCompile.countchildren(methinvs)
end

import Plots
Plots.plot(
    1:length(trees),
    n_invalidations;
    markershape=:circle,
    xlabel="i-th method invalidation",
    label="Number of children per method invalidations"
)

invalidation

with SciML/SciMLBase.jl#348 it's the number one invalidating method.

inserting promote_rule(::Type{R}, ::Type{ForwardDiff.Dual{T, V, N}}) where {R<:Real, T, V, N} in ForwardDiff at C:\Users\accou\.julia\packages\ForwardDiff\QdStj\src\dual.jl:427 invalidated:
   backedges: 1: superseding promote_rule(::Type, ::Type) in Base at promotion.jl:310 with MethodInstance for promote_rule(::Type{Int64}, ::Type{S} where S<:Real) (5 children)
              2: superseding promote_rule(::Type, ::Type) in Base at promotion.jl:310 with MethodInstance for promote_rule(::Type{UInt8}, ::Type) (8 children)
              3: superseding promote_rule(::Type, ::Type) in Base at promotion.jl:310 with MethodInstance for promote_rule(::Type{UInt16}, ::Type) (11 children)
              4: superseding promote_rule(::Type, ::Type) in Base at promotion.jl:310 with MethodInstance for promote_rule(::Type{Int64}, ::Type) (285 children)
   19 mt_cache

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