Comment by asmeurer:

PyPy support is coming (see issue 1026). Unfortunately, SymPy generally runs at least as fast, if not slower on PyPy. You can try it yourself if you don't believe me (I've only played with it minimally, so maybe some things really are faster). The problem is that the JIT optimizations are not so great with a lot of the object oriented stuff that SymPy uses heavily, like metaclasses.

By the way, the content of this page is outdated, especially a lot of the speed stuff.

You also might look at the Google Summer of Code project we had this year relating to mechanics (https://github.com/sympy/sympy/wiki/GSoC-2011-Report-Gilbert-Gede:-PyDy). It hasn't all been merged yet, but it should be in by the next release.

For more information:
http://code.google.com/p/sympy/wiki/Motivation

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