A few weeks ago I mentioned the ncrunch comparison of "mathematical programs for data analysis" in a comment in another thread. There is now a new, 5th release of that review. The systems reviewed are:
- GAUSS
- Maple
- Mathematica
- Matlab
- O-Matrix
- Ox
- SciLab
The review is skewed towards statistical computation and data manipulation, but it includes several interesting comparisons of the major computer algebra systems (CAS).
There is a comparative performance section, and the worksheets used for that benchmarking are available for download. Here is the Maple worksheet, which was used with Maple 11.