Groups > comp.soft-sys.math.mathematica > #16482

Pure functions vs rule based functions inside NIntegrate

From	Yi Wang <tririverwangyi@gmail.com>
Newsgroups	comp.soft-sys.math.mathematica
Subject	Pure functions vs rule based functions inside NIntegrate
Date	2014-01-26 08:05 +0000
Message-ID	<lc2fl5$lnt$1@smc.vnet.net> (permalink)
Organization	Time-Warner Telecom

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Hello,

As I was told, only pure functions can be compiled. Also, NIntegrate or NDSolve first compiles a function before doing numerical operations. Thus, I would have expected that using pure functions in NIntegrate or NDSolve could be faster than rule based functions.

However, in tests I didn't find such a difference. For example,

f1[x_, y_] := Sin[Sin[x Sin[y]]];
AbsoluteTiming@NIntegrate[f1[x, y], {x, 0, 100}, {y, 0, 100}]

and

f2 = Sin[Sin[#1 Sin[#2]]] &
AbsoluteTiming@NIntegrate[f2[x, y], {x, 0, 100}, {y, 0, 100}]

takes about the same time. How can I tell if both are compiled, or neither, and why?

Thanks!
Yi

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Pure functions vs rule based functions inside NIntegrate Yi Wang <tririverwangyi@gmail.com> - 2014-01-26 08:05 +0000
  Re: Pure functions vs rule based functions inside NIntegrate Richard Fateman <fateman@cs.berkeley.edu> - 2014-01-28 11:08 +0000

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