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| Deletions are marked like this. | Additions are marked like this. |
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| [[latex2($$Speedup = \frac{Performance~using~enhancement~when~possible}{Performance~without~enhancement}$$)]] | [[latex($$Speedup = \frac{Performance~using~enhancement~when~possible}{Performance~without~enhancement}$$)]] |
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| [[latex2($$SpeedupOverall = \frac{Old~Execution~Time}{New~Execution~Time}$$)]] (1) | [[latex($$SpeedupOverall = \frac{Old~Execution~Time}{New~Execution~Time}$$)]] (1) |
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| [[latex2($$New~Exec~Time = Old~Exec~Time \left( 1 - FractionEnhanced + \frac{FractionEnhanced}{SpeedupEnhanced}\right)$$)]] | [[latex($$New~Exec~Time = Old~Exec~Time \left( 1 - FractionEnhanced + \frac{FractionEnhanced}{SpeedupEnhanced}\right)$$)]] |
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| [[latex2($$SpeedupOverall=\left(\frac{1}{1-FractionEnhanced + \frac{FractionEnhanced}{SpeedupEnhanced}}\right)$$)]] | [[latex($$SpeedupOverall=\left(\frac{1}{1-FractionEnhanced + \frac{FractionEnhanced}{SpeedupEnhanced}}\right)$$)]] |
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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:
latex($$SpeedupOverall = \frac{Old~Execution~Time}{New~Execution~Time}$$) (1)
This gives a new Execution time of
So we have
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