#10170: Speed up the computation of Bell numbers
------------------------------+---------------------------------------------
   Reporter:  gerbicz         |       Owner:  sage-combinat
       Type:  enhancement     |      Status:  needs_review 
   Priority:  major           |   Milestone:               
  Component:  combinatorics   |    Keywords:  bell number  
     Author:  Robert Gerbicz  |    Upstream:  N/A          
   Reviewer:                  |      Merged:               
Work_issues:                  |  
------------------------------+---------------------------------------------
Changes (by gerbicz):

  * status:  needs_info => needs_review


Comment:

 Replying to [comment:1 jbandlow]:
 > Hello and thanks for the patch!  I'm curious, have you compared your
 solution with wrapping mpmath directly?  For example,
 >
 > {{{
 > sage: import mpmath
 > sage: mpmath.bell?
 > }}}

 Yes, but times are not saved I will rerun them: here are the timings for
 mpmath:

 n  time (Wall time)

 300 0.02 sec.

 1000 0.06 sec.

 3000 0.41 sec.

 10000 10.26 sec.

 30000 168.27 sec.

 100000 (still computing)

 So here mpmath is about 2-4 times slower, and seems that using more memory
 than my code.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10170#comment:2>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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