#11934: Symbolic simplification error
------------------------------------+---------------------------------------
       Reporter:  mjo               |         Owner:  burcin    
           Type:  defect            |        Status:  needs_info
       Priority:  major             |     Milestone:  sage-5.10 
      Component:  symbolics         |    Resolution:            
       Keywords:                    |   Work issues:            
Report Upstream:  N/A               |     Reviewers:            
        Authors:  Michael Orlitzky  |     Merged in:            
   Dependencies:  #12322            |      Stopgaps:            
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Changes (by kcrisman):

  * status:  needs_review => needs_info


Comment:

 I'm questioning whether this really is fixing anything.   First, it's
 still there with `simplify_radical`.
 {{{
 sage: f = sqrt(-8*(4*sqrt(2) - 7)*x^4 + 16*(3*sqrt(2) - 5)*x^3)
 sage: f.subs(x=-1/2).n()
 1.47861134210963
 sage: f.simplify_radical().subs(x=-1/2).n()
 1.47861134210963 - 9.05388323648765e-17*I
 }}}
 Secondly, the problem is really this.  Notice I'm not simplifying anything
 at all here.
 {{{
 sage: h = I*x^(1/2)
 sage: h(x=-1/2)
 I*sqrt(-1/2)
 sage: h(x=-1/2).n()
 -0.707106781186548 + 4.32978028117747e-17*I
 }}}
 Needs work/info, but not because of your patch or #12737, but rather
 because this doesn't really treat the underlying issue.  This could just
 be some floating point thing that is inherently impossible to avoid once
 one allows complex numbers (and since your original example is complex
 sometimes, the answers are going to be complex, unfortunately).

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11934#comment:6>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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