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\begin{equation} Speedup = \frac{Performance~for~entire~task~using~the~enhancement~when~possible}{Performance~for~entire~task~without~enhancement} |
\begin{equation} \label{eq:speedup} Speedup = \frac{Performance~using~enhancement~when~possible}{Performance~without~enhancement} |
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\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
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:
Old Execution Time SpeedupOverall = -------------------- New Execution Time FractionEnhanced New Execution Time = Old Execution Time ( (1 - FractionEnhanced) + ------------------ ) SpeedupEnhanced or Execution Time affected by Improvement New Execution Time = -------------------------------------- + Execution Time unaffected Amount of Improvement (x times) So we have 1 SpeedupOverall = -------------------------------------------- FractionEnhanced (1 - FractionEnhanced) + ------------------ ) SpeedupEnhanced
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