#12339: Free Groups
--------------------------------+-------------------------------------------
       Reporter:  mmarco        |         Owner:  joyner      
           Type:  enhancement   |        Status:  needs_review
       Priority:  minor         |     Milestone:              
      Component:  group theory  |    Resolution:              
       Keywords:  free groups   |   Work issues:              
Report Upstream:  N/A           |     Reviewers:              
        Authors:  Miguel Marco  |     Merged in:              
   Dependencies:                |      Stopgaps:              
--------------------------------+-------------------------------------------

Comment (by rbeezer):

 On 64-bit Ubuntu 12.05, Sage 5.1.rc1, hardware is a 4-core Intel about 18
 months old.

 Seems similar to what John is seeing (roughly).

 {{{
 sage: time F=FreeGroup(4)
 Time: CPU 0.02 s, Wall: 0.08 s
 sage: time F.inject_variables()
 Defining x0, x1, x2, x3
 Time: CPU 0.03 s, Wall: 0.04 s
 sage: time x=F([1,2,3,4,1,2,3,4])
 Time: CPU 0.02 s, Wall: 0.02 s
 sage: sage: time x^2
 x0*x1*x2*x3*x0*x1*x2*x3*x0*x1*x2*x3*x0*x1*x2*x3
 Time: CPU 0.06 s, Wall: 0.08 s
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12339#comment:36>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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