FWIW, the function now runs much faster after the multiple precision
improvements.  The worst case is only about a 100 times slower now
instead of 1000 times.

I've not looked yet, but I think there is a case for capping maximum
precision for worst case computation for sin (and all trigonometric
functions) as well, so this could get even better.

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https://bugs.launchpad.net/bugs/192134

Title:
  slow math sin function for some values on amd64

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