fyi, updated a CAS simplification comparing Mathematica with Maple
 From: "Nasser M. Abbasi" <nma@xxxxxxxxx>
 Date: Sat, 12 May 2012 14:25:43 0500
From an old post:
http://sci.techarchive.net/Archive/sci.math.symbolic/200703/msg00051.html
I've used the script shown above by Dr Carlos on
old version of Mathematica and Maple.
I've just updated this, and rerun the above on Matematica
8.04 and Maple 14, and made new page which has new results
http://12000.org/my_notes/simplification_in_CAS/index.htm
(link to the older page can be access from the above page
or directly, or from this link:
http://12000.org/my_notes/simplification_in_CAS/index_saved.htm
I've used LeafCount in Mathematica as a measure of the size
of the expression, and used length() in Maple.
The tables shown above, give the percentage of reduction
of the expression size as result of using simplify().
The expression itself is given in the page above.
Any one spots an issue with how this is done, please
let me know and I'll correct it.
Nasser
.
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