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

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   Message 9,100 of 10,432   
   antispam@math.uni.wroc.pl to clicliclic@freenet.de   
   Re: FriCAS web interface failure   
   22 Jun 16 18:21:07   
   
   clicliclic@freenet.de wrote:   
   >   
   > antispam@math.uni.wroc.pl schrieb:   
   > >   
   > > clicliclic@freenet.de wrote:   
   > > >   
   > > > Something is going on, or the server deteriorating further. Submitting   
   > > > the same or even the trivial input:   
   > > >   
   > > > \begin{axiom}   
   > > > integrate(x, x)   
   > > > \end{axiom}   
   > > >   
   > > > I get a different and instantaneous OSError response today:   
   > >   
   > > Your orignal integral does not work because of a timeout:   
   > > your integral is one of those that need _very_ long time.   
   > > Web interface stops computation IIRC after 4 minutes.   
   > >   
   > > There seem to be resource leak in the web server, it needs   
   > > restarting from time to time.  Befor restart you get errors   
   > > trying to access any page.  ATM I am restarting it by hand...   
   > >   
   >   
   > Ah! Thanks for the explanation. The first error message gave no   
   > indication that a timeout had intervened ...   
   >   
   > Anyway, I won't submit this nasty integral again. The problem of this   
   > pseudo-elliptic integrand seems to be that it involves the constant root   
   > SQRT(a^2 + 1) in addition to the main radical SQRT((x - a)*(x^2 + 1)).   
   > So not only nested radicals but also separate constant roots may slow   
   > the FriCAS integrator down to a crawl, and in this case even with   
   > SimplifyDenomsFlag set!   
   >   
   > The elusive antiderivative is quite compact, however:   
   >   
   > INT((x - SQRT(a^2 + 1) - a)/((x + SQRT(a^2 + 1) - a)   
   > *SQRT((x - a)*(x^2 + 1))), x) =   
   > - SQRT(2)*SQRT(SQRT(a^2 + 1) + a)*ATAN(SQRT(2)*SQRT(SQRT(a^2 + 1) - a)   
   > *((x - a)/SQRT((x - a)*(x^2 + 1))))   
   >   
   > Now left wondering how long _very_ long is in hours, say, or years ...   
      
   This one has been running for few days.  There were examples that   
   finished after a week or even a month.  Some other eventually   
   run out of memory.  Other I have interrupred after about a month.   
   Also, long running computation can mask a bug in later code.   
   Namely, first part may be so slow that nobody is patient enough   
   to see bug in following part.   
      
   --   
                                 Waldek Hebisch   
      
   --- SoupGate-Win32 v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)   

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