#18282: Improve the evaluation of polynomials on symbolic expressions
-------------------------------------+-------------------------------------
   Reporter:  mmezzarobba            |            Owner:
       Type:  enhancement            |           Status:  new
   Priority:  major                  |        Milestone:  sage-6.7
  Component:  symbolics              |         Keywords:
  Merged in:                         |          Authors:  Marc Mezzarobba
  Reviewers:                         |  Report Upstream:  N/A
Work issues:                         |           Branch:
     Commit:                         |  u/mmezzarobba/wip/pol_of_symb
  64339bcbe4c00d54447e76c20862f93ea92f77c1|     Dependencies:
   Stopgaps:                         |
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 Evaluating of a polynomial (from a polynomial ring) on an element of `SR`
 calls a generic implementation of Horner evaluation, so that the result is
 in (a kind of) Horner form:
 {{{
 sage: pol = QQ['x'](range(10))
 sage: pol(x)
 ((((((((9*x + 8)*x + 7)*x + 6)*x + 5)*x + 4)*x + 3)*x + 2)*x + 1)*x
 }}}
 This is probably not what users expect. Additionally, the conversion could
 be much more efficient.

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Ticket URL: <http://trac.sagemath.org/ticket/18282>
Sage <http://www.sagemath.org>
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