Re: The same function the second time evaluated is faster. Why?
- To: mathgroup at smc.vnet.net
- Subject: [mg119109] Re: The same function the second time evaluated is faster. Why?
- From: Bill Rowe <readnews at sbcglobal.net>
- Date: Sun, 22 May 2011 06:53:53 -0400 (EDT)
On 5/21/11 at 6:47 AM, guillermo.sanchez at hotmail.com (Guillermo Sanchez) wrote: >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? Mathematica caches intermediate results. So, the second and third evaluations use the cached results from previous computations to save time.