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   sci.math.symbolic      Symbolic algebra discussion      10,432 messages   

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   Message 9,016 of 10,432   
   Waldek Hebisch to clicliclic@freenet.de   
   Re: Who is fastest?   
   29 Mar 16 20:18:47   
   
   From: hebisch@antispam.uni.wroc.pl   
      
   clicliclic@freenet.de wrote:   
   >   
   > [This unintendedly appeared as part of the old thread "Announce: FriCAS   
   > 1.2.7 has been released", am therefore reposting without the link.]   
   >   
   >   
   > Axel Vogt schrieb:   
   > >   
   > > On 27.03.2016 16:22, clicliclic@freenet.de wrote:   
   > > >   
   > > > Hello!   
   > > >   
   > > > How long does it take the popular integrators to evaluate the   
   > > > following elementary indefinite integrals? Imagine them to appear in   
   > > > terms of some series expansion:   
   > > >   
   > > > INT(1/((1+x+2*x^2)^5*(3-2*x)^(11/2)),x)   
   > > >   
   > > > INT(1/((1+x+2*x^2)^10*(3-2*x)^(21/2)),x)   
   > > >   
   > > > INT(1/((1+x+2*x^2)^20*(3-2*x)^(41/2)),x)   
   > > >   
   > > > and:   
   > > >   
   > > > INT(1/((1+x+2*x^2)^5*(3-2*x+x^2)^(11/2)),x)   
   > > >   
   > > > INT(1/((1+x+2*x^2)^10*(3-2*x+x^2)^(21/2)),x)   
   > > >   
   > > > INT(1/((1+x+2*x^2)^20*(3-2*x+x^2)^(41/2)),x)   
   > > >   
   > > > Does Maple beat FriCAS? Does Rubi beat Mathematica?   
   > > >   
   > >   
   > > memory used=36.50MiB, alloc change=66.00MiB, cpu time=843.00ms, real   
   > > time=858.00ms, gc time=31.20ms   
   > > memory used=32.44MiB, alloc change=36.00MiB, cpu time=764.00ms, real   
   > > time=749.00ms, gc time=93.60ms   
   > > memory used=51.56MiB, alloc change=8.00MiB, cpu time=952.00ms, real   
   > > time=951.00ms, gc time=0ns   
   > >   
   > > memory used=42.21MiB, alloc change=32.00MiB, cpu time=936.00ms, real   
   > > time=921.00ms, gc time=93.60ms   
   > > memory used=0.66GiB, alloc change=320.00MiB, cpu time=10.16s, real   
   > > time=9.41s, gc time=1.45s   
   > >   
   > >   
   > > The last one exceeded my patients.   
   > >   
   >   
   > Hmmm, is Maple really without competition here?   
   >   
      
   For FriCAS results see followup to your post.  I only today   
   noticed that there was a new post in the old thread.   
      
   --   
                                 Waldek Hebisch   
      
   --- SoupGate-Win32 v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)   

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