#15303: Coercion discovery fails to be transitive
-------------------------------------+-------------------------------------
       Reporter:  nbruin             |        Owner:
           Type:  defect             |       Status:  needs_work
       Priority:  major              |    Milestone:  sage-5.13
      Component:  coercion           |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Simon King         |    Reviewers:
Report Upstream:  N/A                |  Work issues:  analyse recursion
         Branch:                     |  error
  u/SimonKing/ticket/15303           |       Commit:
   Dependencies:  #14711             |  f837cbee8f81c4946a92193c73e86449c53515d9
                                     |     Stopgaps:
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Comment (by SimonKing):

 The coerce costs of a (generic) map with exact domain and codomain are 10,
 but 10000 if one of them is inexact. However, the coerce costs of a
 `DefaultConvertMap` are between 100 and 400. And it seems to me that this
 is not well balanced.

 Namely, if the coercion model has to choose between a single default
 convert map and a composition of 10 generic maps, it would take the
 composition---which would of course normally be slower than a single map!

 This decision has been made 5 years ago. Perhaps the coerce costs should
 be refactored?

 It makes sense that the coerce costs for inexact (co)domain will be high.
 But a single map should certainly be better than a composite map with the
 same domain and codomain.

--
Ticket URL: <http://trac.sagemath.org/ticket/15303#comment:25>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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