#16753: solve of equation system misses trivial simplifications
----------------------------+------------------------
       Reporter:  rws       |        Owner:
           Type:  defect    |       Status:  new
       Priority:  critical  |    Milestone:  sage-6.3
      Component:  calculus  |   Resolution:
       Keywords:            |    Merged in:
        Authors:            |    Reviewers:
Report Upstream:  N/A       |  Work issues:
         Branch:            |       Commit:
   Dependencies:            |     Stopgaps:
----------------------------+------------------------
Changes (by rws):

 * priority:  major => critical


Old description:

> (please write a better title)
>
> Some trivial substitutions are not done by solve:
> {{{
> sage: x,y=var('x,y')
> sage: solve([y==exp(x),2*y-exp(x)==1],x,y)
> [y == e^x, 2*y - e^x == 1]
> }}}
> and, as reported in http://ask.sagemath.org/question/23652/solve-
> equations-with-sinx/
> {{{
> sage: solve([y==sin(x),y+4*sin(x)==5],x,y)
> [y == sin(x), y + 4*sin(x) == 5]
> }}}

New description:

 Some trivial substitutions are not done by solve:
 {{{
 sage: x,y=var('x,y')
 sage: solve([y==exp(x),2*y-exp(x)==1],x,y)
 [y == e^x, 2*y - e^x == 1]
 }}}
 and, as reported in http://ask.sagemath.org/question/23652/solve-
 equations-with-sinx/
 {{{
 sage: solve([y==sin(x),y+4*sin(x)==5],x,y)
 [y == sin(x), y + 4*sin(x) == 5]
 }}}

--

Comment:

 Set to critical because it makes Sage look really stupid.

--
Ticket URL: <http://trac.sagemath.org/ticket/16753#comment:1>
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