#11900: Serious regression caused by #9138
---------------------------+------------------------------------------------
   Reporter:  SimonKing    |          Owner:  tbd                  
       Type:  defect       |         Status:  new                  
   Priority:  critical     |      Milestone:  sage-4.7.2           
  Component:  performance  |       Keywords:  categories regression
Work_issues:               |       Upstream:  N/A                  
   Reviewer:               |         Author:                       
     Merged:               |   Dependencies:                       
---------------------------+------------------------------------------------
 At [http://groups.google.com/group/sage-
 devel/browse_thread/thread/d885434ba9c22d66 sage-devel], Jeroen reported a
 massive regression in elliptic curve computations. The regression was
 introduced in the transition from sage-4.7.2.alpha2 to sage-4.7.2.alpha3.

 It seems that #9138 is responsible, at least for a big part of the
 regression. With unpatched sage-4.7.2.alpha2, we find
 {{{
 sage: E = J0(46).endomorphism_ring()
 sage: %time g = E.gens()
 CPU times: user 5.54 s, sys: 0.15 s, total: 5.69 s
 Wall time: 5.81 s
 }}}
 Adding #9138 and its dependency, we obtain
 {{{
 sage: E = J0(46).endomorphism_ring()
 sage: %time g = E.gens()
 CPU times: user 8.72 s, sys: 0.18 s, total: 8.89 s
 Wall time: 8.92 s
 }}}

 It turns out that much time is wasted for calls to
 `sage.categories.Category.join` and to
 `sage.categories.Category.hom_category`.

 When caching these two methods, one can reduce the speed difference to
 something like that (sage-4.7.2.alpha3 plus #11115 plus an experimental
 patch for the caching):
 {{{
 sage: E = J0(46).endomorphism_ring()
 sage: %time g = E.gens()
 CPU times: user 6.82 s, sys: 0.16 s, total: 6.98 s
 Wall time: 7.40 s
 }}}
 However, that's still far from good. After caching join and hom_category,
 there is still too much time spent (according to %prun) for the
 initialisation of matrix spaces.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11900>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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