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Groups > comp.soft-sys.math.mathematica > #2586

Re: The same function the second time evaluated is faster. Why?

From Joseph Gwinn <joegwinn@comcast.net>
Newsgroups comp.soft-sys.math.mathematica
Subject Re: The same function the second time evaluated is faster. Why?
Date 2011-05-22 10:53 +0000
Organization Steven M. Christensen and Associates, Inc and MathTensor, Inc.
Message-ID <irapvg$lku$1@smc.vnet.net> (permalink)
References <ir857q$beh$1@smc.vnet.net>

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In article <ir857q$beh$1@smc.vnet.net>,
 Guillermo Sanchez <guillermo.sanchez@hotmail.com> wrote:

> Dear gurus?
> 
> I evaluate the below function ,
> 
> Int[1]:=1+1
> 
> Int[2]:=Timing[(f2[x1_] := Integrate[Sin[x^3], {x, 0, x1}];
> f2[Range[10]]);]
> Out[2]:= {12.261, Null}
> 
> I repeat the evaluation is faster
> 
> Out[2]:={1.389, Null}
> 
> and the third faster
> 
> Out[3]:= {0.281, Null}
> 
> Even writting f3 instead f2
> 
> Timing[(f3[x1_] := Integrate[Sin[x^3], {x, 0, x1}]; f3[Range[10]]);]
> {0.281, Null}
> 
> Why the second and third evaluation are faster?
> 
> Guillermo

Because Mathematica caches intermediate results.

Joe Gwinn

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The same function the second time evaluated is faster. Why? Guillermo Sanchez <guillermo.sanchez@hotmail.com> - 2011-05-21 10:47 +0000
  Re: The same function the second time evaluated is faster. Why? Joseph Gwinn <joegwinn@comcast.net> - 2011-05-22 10:53 +0000

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