Differences between revisions 11 and 24 (spanning 13 versions)
Revision 11 as of 2005-06-27 22:18:40
Size: 1555
Editor: yakko
Comment:
Revision 24 as of 2005-06-28 01:18:43
Size: 709
Editor: yakko
Comment:
Deletions are marked like this. Additions are marked like this.
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{{{#!latex2
\begin{equation} \label{eq:speedup}
   Speedup = \frac{Performance~using~enhancement~when~possible}{Performance~without~enhancement}
\end{equation}
}}}


{{{
           Performance for entire task using the enhancement when possible
Speedup = -----------------------------------------------------------------
              Performance for entire taks without using the enhancement
[[latex2($$Speedup = \frac{Performance~using~enhancement~when~possible}{Performance~without~enhancement}$$)]]
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{{{
                  Old Execution Time
SpeedupOverall = --------------------
                  New Execution Time
[[latex2($$SpeedupOverall = \frac{Old~Execution~Time}{New~Execution~Time}$$)]]
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                                                                    FractionEnhanced
New Execution Time = Old Execution Time ( (1 - FractionEnhanced) + ------------------ )
                                                                    SpeedupEnhanced
This gives a new Execution time of
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or

                       Execution Time affected by Improvement
New Execution Time = -------------------------------------- + Execution Time unaffected
                            Amount of Improvement (x times)
[[latex2($$New~Exec~Time = Old~Exec~Time \left( 1 - FractionEnhanced + \frac{FractionEnhanced}{SpeedupEnhanced}\right)$$)]]
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                                     1
SpeedupOverall = --------------------------------------------
                                           FractionEnhanced
                 (1 - FractionEnhanced) + ------------------ )
                                           SpeedupEnhanced

}}}
[[latex2($$SpeedupOverall=\frac{1}{1-FractionEnhanced + \frac{FractionEnhanced}{SpeedupEnhanced}})]]

AmdahlsLaw (last edited 2020-01-23 23:15:20 by scot)