How much faster is Python than Mathematica?

[chahmquahk]

I've been running some of my own simulations of a variation on a standard map using Verlet integration on Mathematica, and I would like to start generating maps of phase space using ~25,000 initial points. I'm currently at 1000 points using Mathematica, and each simulation takes about 15 minutes using CompiledFunctions. Would Python be significantly faster? Also, is there anything else I can do to optimize computation?

 

[jedishrfu]

Here's some comparative stats:

https://sciencehouse.wordpress.com/2014/06/29/julia-vs-python/

Personally I think Julia has the edge over many of these languages and it has a syntax similar to MATLAB which is the primary engineering numerical analysis language today taught at many universities and carried over to industry.

 

[chahmquahk]

Thanks!