#6799: Speed up symbolic comparison
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 Reporter:  gmhossain    |       Owner:     
     Type:  enhancement  |      Status:  new
 Priority:  major        |   Milestone:     
Component:  symbolics    |    Keywords:     
 Reviewer:               |      Author:     
   Merged:               |  
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 It takes too long to check whether x is in a list in new symbolics

 {{{
 sage: var('x,x1,x2,x3,x4')
 (x, x1, x2, x3, x4)
 sage: f = function('f')
 sage: mylist = [x1,x2,x3,x4,f(x1),f(x2),f(x3),f(x4)]

 sage: timeit('x in mylist')
 5 loops, best of 3: 461 ms per loop
 }}}

 If we need to check it couple of more times
 then it becomes worse
 {{{
 sage: timeit('x in mylist')
 5 loops, best of 3: 1.26 s per loop
 sage: timeit('x in mylist')
 5 loops, best of 3: 3.4 s per loop
 }}}

 For a comparison
 {{{
 sage: timeit('x1 in mylist')
 625 loops, best of 3: 473 ns per loop
 }}}

 Reason for this huge discrepancy stems from the fact that
 except for last example, in all previous cases maxima is called
 to check the equality.

 See this thread for more:

  http://groups.google.com/group/sage-
 devel/browse_thread/thread/d2275cb5b3d63317

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/6799>
Sage <http://sagemath.org/>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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