> Solved: used round(number,12) in this case for all of the operands of
> my arcsines.  Not pretty, but at least VIM made it easy...

You might have the same problem though:

>>> round(1.000340100000325235000000235,13)
1.0003401000003
>>> round(1.000340100000325235000000235,12)
1.0003401000000001
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