#15792: A previously fixed regression has reappeared
-------------------------------+------------------------
       Reporter:  SimonKing    |        Owner:
           Type:  defect       |       Status:  new
       Priority:  major        |    Milestone:  sage-6.2
      Component:  performance  |   Resolution:
       Keywords:               |    Merged in:
        Authors:               |    Reviewers:
Report Upstream:  N/A          |  Work issues:
         Branch:               |       Commit:
   Dependencies:               |     Stopgaps:
-------------------------------+------------------------

Comment (by SimonKing):

 There is (again) some issue with overhead of the category framework:
 {{{
 sage: def test():
     for p in prime_range(10000):
         P = GF(p)['t','x','z']
 ....:
 sage: %prun test()

          939023 function calls (884893 primitive calls) in 8.130 seconds

    Ordered by: internal time

    ncalls  tottime  percall  cumtime  percall filename:lineno(function)
      9837    1.791    0.000    1.806    0.000
 dynamic_class.py:324(dynamic_class_internal)
      1229    0.623    0.001    6.659    0.005
 polynomial_ring_constructor.py:569(_multi_variate)
 13511/13510    0.298    0.000    3.230    0.000
 category.py:435(__classcall__)
 24580/3687    0.264    0.000    4.036    0.001 category.py:1522(<genexpr>)
      1228    0.225    0.000    0.246    0.000
 constructor.py:533(other_keys)
     89702    0.200    0.000    0.200    0.000 {isinstance}
 9836/1229    0.166    0.000    4.168    0.003 category.py:1467(_meet_)
 19658/18423    0.151    0.000    0.468    0.000
 category.py:1964(_make_named_class)
      9826    0.142    0.000    2.343    0.000 category.py:466(__init__)
     11054    0.132    0.000    0.195    0.000 {sorted}
      7369    0.129    0.000    1.872    0.000
 category_types.py:324(__init__)
     11060    0.126    0.000    0.443    0.000 category.py:113(_join)
 31942/23339    0.125    0.000    0.394    0.000
 category.py:1358(is_subcategory)
      1228    0.120    0.000    0.214    0.000
 quotient_ring.py:408(__init__)
      9826    0.120    0.000    0.233    0.000
 category.py:1554(_flatten_categories)
 11060/2457    0.120    0.000    4.456    0.002 category.py:1574(join)
 2458/1229    0.113    0.000    4.578    0.004 homset.py:83(Hom)
      9826    0.111    0.000    3.013    0.000
 category.py:1015(_super_categories)
     28258    0.110    0.000    0.168    0.000 weakref.py:223(__new__)
     28259    0.101    0.000    0.155    0.000
 category.py:667(_subcategory_hook_)
     22113    0.095    0.000    0.131    0.000
 category_types.py:206(_make_named_class_key)
      9826    0.092    0.000    2.748    0.000
 unique_representation.py:1006(__classcall__)
     13521    0.091    0.000    1.898    0.000
 dynamic_class.py:122(dynamic_class)
 ...
 }}}
 So, creation of dynamic classes and computation of the join of categories
 takes a considerable amount of time.

 Nicolas, do you think that this issue would vanish with your "more
 functorial constructions"? Well, I am checking it now...

--
Ticket URL: <http://trac.sagemath.org/ticket/15792#comment:15>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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