On Sunday, November 3, 2019 at 1:07:28 PM UTC-6, Waldek Hebisch wrote:
>
> Nasser M. Abbasi wrote: 
> > 
> > On Thursday, October 31, 2019 at 7:05:00 PM UTC-5, Nasser M. Abbasi 
> wrote: 
> > > 
> > > In running CAS integration tests 
> > > https://www.12000.org/my_notes/CAS_integration_tests/index.htm, I 
> noticed 
> > > some Fricas tests fail because the build sets the 
> > > flag setSimplifyDenomsFlag(true) at the start for all integrals. 
> > > 
> > > But now I noticed some fail (due to time out of 3 minutes) when this 
> flag 
> > > is set. When I do not set this flag, FriCAS can integrate it. So it 
> should 
> > > be pass. 
> > > 
> > > But I do not know now if I should this flag to true or not.  Here is 
> an 
> > > example 
> > > 
> > > setSimplifyDenomsFlag(true) 
> > > integrate((b*tan(d*x + c)^3)^(3/2),x) 
> > > 
> > >   hangs. 
> > > 
> > > But 
> > > 
> > > setSimplifyDenomsFlag(false) 
> > > integrate((b*tan(d*x + c)^3)^(3/2),x) 
> > > 
> > > Returns right away with answer. 
> > > 
> > > Since there are 10's of thousands of integrals, how to decide which to 
> > > option to use? 
> > > Should I use false all the time?  Will using false make some that pass 
> now 
> > > when using true fail? 
> > > 
> > > Any suggestions what to do? 
> > > 
> > > Thanks 
> > > --Nasser 
> > > 
> > 
> > fyi, I just run one test file with the  setSimplifyDenomsFlag(true) and 
> > then with setSimplifyDenomsFlag(false) 
> > 
> > When the flag is true Fricas solved 136 integrals in that file. When 
> flag 
> > is false, Fricas solved 176 integrals. 
> > The reason is it timed out on those it did not solve when the flag is 
> true. 
>
> Can you say which file? 
> > 
> > I did not check if there is any that passed when flag is true has now 
> > failed when flag is false. 
> > 
> > But from this quick test, it should net effect is positive. (even though 
> > some result is now larger). 
> > 
> > Should I then re-run all CAS integrations tests for Fricas with this 
> flag 
> > false based on the above? This will improve the pass/fail result for 
> Fricas 
> > at the cost of some results being larger than before. 
>
> IME Fricas could do more integrals when this flag is true.  But Ruby 
> testsuite is quite biased, so result may be different.  Or maybe 
> you just chose file which prefers false (again, Rubi orgarnizes 
> tests into familes, so there is string correlation inside typical 
> files). 
>
> BTW: To minimize effects of timeout you can try tests that 
> Rubi can do in 1 step, they are smaller and for FriCAS should 
> give allmost the same coverage.  AFAICS the other mostly add 
> "capacity" testing. 
>
> -- 
>                               Waldek Hebisch 
>

The file is  4.3.0-a_trg-^m-b_tan-^n.txt 
<https://www.12000.org/tmp/11032019/4.3.0-a_trg-%5em-b_tan-%5en.txt>

Integrals numbers 31,32,33... and more, all time out when using true flag, 
but give result right away when using false flag.

(b*tan(c+d*x)^3)^(3/2)

(b*tan(c+d*x)^3)^(1/2)

1/(b*tan(c+d*x)^3)^(1/2)

etc...

I am rerunning about 50,000 integrals now which were completed before using 
flag true, rerunning them with flag=FALSE to see which value gives better 
pass result. 

It has been running for 4 days now and almost done. Will update here with 
what I find.

If Fricas gives higher pass score with false flag, will keep that as I am 
not sure now which flag gives better result and I do not know how to decide 
in the code which one to use.

I could always do this: If Fricas times out with TRUE flag, re-run the 
integral again with the flag FALSE.  But this will complicate things, so it 
is much simpler to stick with one value. 

I also have to run all files for all CAS'es. I can't really pick which file 
to run for each CAS since the build script just runs over the 213 files one 
by one for each CAS system and same number of files and integrals have to 
match for each CAS.

Thanks
--Nasser

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