#13991: Mitigate speed regressions in symmetric function related code due to 
#12313
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       Reporter:  nbruin          |         Owner:  sage-combinat
           Type:  task            |        Status:  new          
       Priority:  major           |     Milestone:  sage-5.8     
      Component:  combinatorics   |    Resolution:               
       Keywords:                  |   Work issues:               
Report Upstream:  N/A             |     Reviewers:               
        Authors:                  |     Merged in:               
   Dependencies:  #13605, #14225  |      Stopgaps:               
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Comment (by SimonKing):

 In fact, sage.combinat.sf.k_dual uses `Partitions` in a rather restricted
 way: There is precisely one instance of `Partitions_all_bounded` used, and
 `Partitions` is also used in a restricted way, namely ''always'' with
 `max_part = self.k`.

 I think it really makes sense to cache this, because the cache will be
 limited (and will live in the objects that really use the cached data).

 With this, I obtain:
 {{{
 sage: from sage.combinat.sf.k_dual import AffineSchurFunctions
 sage: F =
 
AffineSchurFunctions(SymmetricFunctions(QQ['t']).kBoundedQuotient(Integer(4),t=Integer(1)))
 sage: %time TestSuite(F).run()
 CPU times: user 5.93 s, sys: 0.06 s, total: 5.99 s
 Wall time: 6.10 s
 }}}
 on the same machine as with the timings mentioned above. Hence, I think
 there is hope to solve the problem in a convenient way.

 Since this ticket is now a "task", I will post my patch on a new ticket.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13991#comment:52>
Sage <http://www.sagemath.org>
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