I have an app that is running slow. I have narrowed it down to several
functions which are trig-intensive (used to calculate the position of the
moon at a given moment and more specifically to calculate rise/set times).

To calculate the position and rise/set times for a month on average,
requires:

300 trig functions for position
 24 points in time to find the correct set of three points
 30 days
  2 events

Total of 432,000 trig functions (mostly sin and cos)
 
On my iPad 3, this takes about 3 seconds, and on my desktop (2.3GHz
Quad-core i7) it is nearly instantaneous.

I am using doubles (not floats).

What can I do to speed this up?



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