Simon Plouffe has started an interesting thread on the usenet newsgroup comp.soft-sys.math.maple (viewable here, for those without good nntp server access).

They are discussing the speed of computation of exp(1.0) to 1 million digits.

It's not clear whether Mathematica does it using mere lookup of precomputed results. It hasn't been stated yet in that thread, but Maple does it using a call to a kernel builtin.

# Set Digits as desired, possibly with guard digits, and then...
`evalf/hypergeom/kernel`([],[],1);

Anyway, the interesting bits revolve around ways to do it efficiently.


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