Date: Jun 30, 2013 12:07 PM
Author: clicliclic@freenet.de
Subject: Re: An independent integration test suite


The following table summarizes the performance data made available for
the example integrals in Timofeev's 1948 book:

<http://www.math-life.com/jdownloads/view.download/27/279.html>

To simplify the accounting, the numbers of examples represent the actual
numbers of distinct integrands; for chapters where this has not yet been
determined, the total of Timofeev's numbered examples is given instead:

ch. ex's Der. Fri. Mpl MMA etc. etc.
6.10 1.20 17 9.xx
-----------------------------------------------
1 86 83 85 85 86
2 90 - - - -
3 12 12 ? ? ?
4 132 - - - -
5 120 - - - -
6 26 - - - -
7 11 9 ? 11 ?
8 109 - - - -
9 59 - - - -
-----------------------------------------------
100% 95.4% ? % ? % ? %

Recent results from the threads "integration test suite / Chap 3" and
"integration test suite / Chap 7" have been added here:

<http://mathforum.org/kb/thread.jspa?threadID=2449908>
<http://mathforum.org/kb/thread.jspa?threadID=2449867>

However, a Winner cannot be determined at present because of the uneven
distribution of results reflected in the "?" entries.

Rubi is of course violently invited to test its strengths on the
Timofeev integrals too.

Martin.