gistfile1.jl

function dispatchratio(D, M::Module, expor, recur)
    nspec = 0
    nGFspec = 0
    for name in names(M,!expor)
        if isdefined(M, name)
            F = eval(M, name)
            if isa(F,Union(Function,DataType))
                if isgeneric(F)
                    if !haskey(D,F)
                        positions = IntSet()
                        m = methods(F).defs
                        while m !== ()
                            for i = 1:length(m.sig)
                                x = m.sig[i]
                                if x!=Any && x!=Vararg{Any}
                                    nspec += 1
                                    push!(positions, i)
                                end
                            end
                            m = m.next
                        end
                        nGFspec += length(positions)
                    end
                    D[F] = length(methods(F))
                else
                    D[F] = 0
                end
            elseif recur && isa(F,Module) && F !== M && F !== Main && F !== Base
                a, b = dispatchratio(D, F, expor, recur)
                nspec += a
                nGFspec += b
            end
        end
    end
    nspec, nGFspec
end

for expor in (true,false), justbase in (true,false)
    DR = ObjectIdDict()
    ns,nGF = dispatchratio(DR, Base, expor, !justbase)

    N = length(DR)
    nm = sum(values(DR))

    print(justbase ? "Just Base" : "Everything")
    println(expor ? ", Exported" : ", Everything")
    println("N         = ", N)
    println("DR        = ", nm/N) #mean(values(DR)))
    println("CR        = ", sum(x->x*x, values(DR)) / nm)
    println("DoS       = ", ns / nm, " (N = $nm)")
    println("DoS_G,avg = ", nGF/N)
    println()
end

#=
Just Base, Exported
N         = 1132
DR        = 6.083922261484099
CR        = 52.70204733555975
DoS       = 1.5407289095397125 (N = 6887)
DoS_G,avg = 1.3798586572438163

Everything, Exported
N         = 1273
DR        = 5.644933228593873
CR        = 50.66490397996103
DoS       = 1.593932646813248 (N = 7186)
DoS_G,avg = 1.4650432050274942

Just Base, Everything
N         = 1899
DR        = 4.256450763559768
CR        = 45.5020413212916
DoS       = 1.5653841395521464 (N = 8083)
DoS_G,avg = 1.430753027909426

Everything, Everything
N         = 2971
DR        = 3.4153483675530123
CR        = 36.9341677343057
DoS       = 1.681482211491081 (N = 10147)
DoS_G,avg = 1.5610905419050825


Base.Operators:
N  = 47
DR = 28.127659574468087
CR = 78.05748865355523

Base.Operators plus convert:
N  = 48
DR = 36.145833333333336
CR = 157.78731988472623

=#