From: nma@12000.org   
      
   On 6/7/2022 1:03 AM, clicliclic@freenet.de wrote:   
      
   > On the page <.../reports/summer_2022/indexchapter1.htm#x2-10001> in the   
   > table under 1.2.1 ("Time and leaf size Performance") I think you should   
   > document your definition of "Normalized mean" and "Normalized median".   
   > What is devided by what, and is the mean or median computed before or   
   > after the normalization?   
   >   
      
   Sure, will add these next build.   
      
   Mean size is the average leaf size produced by the CAS (before any   
   normalization). The  Normalized mean is relative to the   
   mean size of the optimal anti-derivative given in the input files.   
      
   For example, if CAS has "Normalized mean" of 3, then   
   the mean size of its leaf is 3 times as large as   
   the mean size of the optimal.   
      
   Median size is value of leaf size where half the values   
   are larger than this and half are smaller (before any   
   normalization). i.e. The Middle value.   
      
   Similarly the "Normalized median" is relative to the median   
   leaf size of the optimal.   
      
   So if a CAS has Normalized median of 1.2, then its   
   median is 1.2 as large as the median leaf size of the optimal.   
      
   > Could the addition of the Sam Blake and Waldek Hebisch test files   
   > affect the overall performance statistics significantly?   
   >   
   > Martin.   
      
   It will change statistics for some CAS'es, but probably   
   not too much? Files 209 and 210 combined have about   
   13,500 integrals, while Rubi's test suite (files 1 .. 208)   
   have a total of 71,994. So this is about 18.75% increase.   
      
   Fyi, There were separate tests done before on just file 209 and 210   
   alone on my page, under section "Specialized integration tests"   
   but now these files are combined with the main build.   
      
   It is good to have more variations of input test files,   
   this insures more coverage of each CAS.   
      
   --Nasser   
      
   --- SoupGate-Win32 v1.05   
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