#2737: [with patch, positive review] add balanced_sum to Sage
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 Reporter:  mhansen                   |        Owner:  somebody         
     Type:  enhancement               |       Status:  closed           
 Priority:  minor                     |    Milestone:  sage-4.1.1       
Component:  basic arithmetic          |   Resolution:  fixed            
 Keywords:                            |     Reviewer:  Robert Bradshaw  
   Author:  Jason Grout, Mike Hansen  |       Merged:  Sage 4.1.1.alpha1
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Comment(by mvngu):

 Replying to [comment:6 jason]:
 > Some timing info for the tour, comparing balanced sum with the builtin
 sum.
 >
 {{{
 sage: a=range(10e6)
 sage: %timeit sum(a)
 10 loops, best of 3: 2.58 s per loop
 sage: %timeit balanced_sum(a)
 10 loops, best of 3: 891 ms per loop
 sage: balanced_sum(a)==sum(a)
 True
 }}}
 This is what I get on sage.math:
 {{{
 sage: L = range(10e6)
 sage: %time sum(L);
 CPU times: user 0.51 s, sys: 0.00 s, total: 0.51 s
 Wall time: 0.51 s
 sage: %time balanced_sum(L);
 CPU times: user 0.78 s, sys: 0.00 s, total: 0.78 s
 Wall time: 0.79 s
 sage: %timeit sum(L);
 10 loops, best of 3: 504 ms per loop
 sage: %timeit balanced_sum(L);
 10 loops, best of 3: 753 ms per loop
 }}}
 Looks like `balanced_sum()` is worse off than the built-in `sum()` for
 this particular example.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/2737#comment:12>
Sage <http://sagemath.org/>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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