#20017: implement cos and sin of power series
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       Reporter:         |        Owner:
  chapoton               |       Status:  needs_review
           Type:         |    Milestone:  sage-7.1
  enhancement            |   Resolution:
       Priority:  major  |    Merged in:
      Component:         |    Reviewers:
  calculus               |  Work issues:
       Keywords:         |       Commit:
        Authors:         |  a7cb277b2445abe758660cd058ebdb05d3d16cab
  Frédéric Chapoton      |     Stopgaps:
Report Upstream:  N/A    |
         Branch:         |
  u/chapoton/20017       |
   Dependencies:         |
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Comment (by rws):

 You're practically substituting into the series for `x`. This is fast for
 small order but may not be optimal for say 1000 coefficients.

 You may be interested in general in a timing comparison. For Symengine
 there is a benchmark to compute `sin(x+x^2)*cos(x+x^2)` to order 1000
 which needs 120ms using the Flint implementation on my machine. Your
 branch at the moment takes 2.1s which is not too bad.

--
Ticket URL: <http://trac.sagemath.org/ticket/20017#comment:2>
Sage <http://www.sagemath.org>
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