I ran into strange performance issues in an algorithm I have been working on.
I have a test case as well as some timing and profiler results at this gist: https://gist.github.com/spencerlyon2/d21d6368a2ccbf6f1e7b I summarize the issues here. Consider the following code (note I am defining myexp because of this issue: https://github.com/JuliaLang/julia/issues/11048. It turns out that on OS X, calling apple's libm gives a substantial speed up -- e.g. I'm doing everything I can to give OS X a chance to win here) the code: @osx? ( begin myexp(x::Float64) = ccall((:exp, :libm), Float64, (Float64,), x) # myexp(x::Float64) = exp(x) end : begin myexp(x::Float64) = exp(x) end ) function test_func(data::Matrix, points::Matrix) # extract input dimensions n, d = size(data) n_points = size(points, 1) # transpose data and points to access columns at a time data = data' points = points' # Define constants hbar = n^(-1.0/(d+4.0)) hbar2 = hbar^2 constant = 1.0/(n*hbar^(d) * (2π)^(d/2)) # allocate space density = Array(Float64, n_points) Di_min = Array(Float64, n_points) # apply formula (2) for i=1:n_points # loop over all points dens_i = 0.0 min_di2 = Inf for j=1:n_points # loop over all other points d_i2_j = 0.0 for k=1:d # loop over d @inbounds d_i2_j += ((points[k, i] - data[k, j])^2) end dens_i += myexp(-0.5*d_i2_j/hbar2) if i != j && d_i2_j < min_di2 min_di2 = d_i2_j end end density[i] = constant * dens_i Di_min[i] = sqrt(min_di2) end return density, Di_min end To test the performance of this code on linux and OS X, I started up a docker image with a recent (40 days old master) julia from my OS X machine and compared the timing against running it on OS X directly (with 1 days old julia). I found that for `data, points = randn(9500, 2)` on linux version takes about 2.6 seconds to run `test_func` whereas on OS X it takes about 9.3. I can't explain this large (almost 4x) performance hit that I get from running the code on the native OS vs the virtual machine. More details (profiler results, timing stats, self-contained runnable example) in the gist: https://gist.github.com/spencerlyon2/d21d6368a2ccbf6f1e7b