Differences between revisions 26 and 32 (spanning 6 versions)
Revision 26 as of 2005-06-28 01:39:51
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Editor: yakko
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Revision 32 as of 2020-01-23 23:15:20
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Editor: 68
Comment:
Deletions are marked like this. Additions are marked like this.
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[[latex2(Speedup=Performance using enhancement when possiblePerformance without enhancement)]] $Speedup=Performance using enhancement when possiblePerformance without enhancement$
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[[latex2(SpeedupOverall=Old Execution TimeNew Execution Time)]] $$$Speedup Overall = \frac{Old~Execution~Time}{New~Execution~Time}$$$
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This gives a new Execution time of [[latex2($$New~Exec~Time = Old~Exec~Time \left( 1 - FractionEnhanced + \frac{FractionEnhanced}{SpeedupEnhanced}\right)$$)]] This gives a new Execution time of

$
$$New~Exec~Time = Old~Exec~Time( 1 - Fraction Enhanced + \frac{Fraction Enhanced}{Speedup Enhanced})$$$
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[[latex2(SpeedupOverall=11FractionEnhanced+FractionEnhancedSpeedupEnhanced)]]
$
$$Speedup Overall=\left(\frac{1}{1-Fraction Enhanced + \frac{Fraction Enhanced}{Speedup Enhanced}}\right)$$$

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Speedup=Performance using enhancement when possiblePerformance without enhancement

See SpeedUp

Notice that we are talking about the entire task here and that performance (speedup) is defined in terms of execution time! So we have to define the following:

SpeedupOverall=Old Execution TimeNew Execution Time

This gives a new Execution time of

New Exec Time=Old Exec Time(1FractionEnhanced+FractionEnhancedSpeedupEnhanced)

So we have

SpeedupOverall=(11FractionEnhanced+FractionEnhancedSpeedupEnhanced)

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AmdahlsLaw (last edited 2020-01-23 23:15:20 by 68)