#15600: Exact computations in QQbar spend unreasonable amounts of time in 
do_polred
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       Reporter:  mmezzarobba  |        Owner:
           Type:  defect       |       Status:  new
       Priority:  major        |    Milestone:  sage-6.1
      Component:  performance  |   Resolution:
       Keywords:               |    Merged in:
        Authors:               |    Reviewers:
Report Upstream:  N/A          |  Work issues:
         Branch:               |       Commit:
   Dependencies:               |     Stopgaps:
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Comment (by mmezzarobba):

 I agree that QQbar ''also'' needs more caching. (And not only in the
 marked places. For instance, look how many times `nfinit` is called by
 `sage_input(pol.roots(...,ring=QQbar), verify=True)`: it seems to me that
 lots of expensive purely algebraic computations could be performed only
 once when we have `AlgebraicGenerator`s corresponding to several roots of
 the same irreducible polynomial.)

 But even with caching, is it reasonable to spend tens of seconds
 optimizing the representation of an extension that may be used only once
 to check that some expression is zero?

--
Ticket URL: <http://trac.sagemath.org/ticket/15600#comment:2>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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