|
Size: 1591
Comment:
|
Size: 1415
Comment:
|
| Deletions are marked like this. | Additions are marked like this. |
| Line 4: | Line 4: |
| \begin{equation} \label{eq:speedup} Speedup = \frac{Performance~for~entire~task~using~the~enhancement~when~possible}{Performance~for~entire~task~without~enhancement} \end{equation} }}} {{{ Performance for entire task using the enhancement when possible Speedup = ----------------------------------------------------------------- Performance for entire taks without using the enhancement |
$$Speedup = \frac{Performance~using~enhancement~when~possible}{Performance~without~enhancement}$$ |
| Line 20: | Line 11: |
| {{{#!latex2 \begin{equation} SpeedupOverall = \frac{Old~Execution~Time}{New~Execution~Time} \end{equation} \begin{equation} New~Exec~Time = Old~Exec~Time \left( 1 - FractionEnhanced + \frac{FractionEnhanced}{SpeedupEnhanced}\right) \end{equation} }}} |
|
| Line 21: | Line 21: |
| Old Execution Time SpeedupOverall = -------------------- New Execution Time |
Back to ComputerTerms
$$Speedup = \frac{Performance~using~enhancement~when~possible}{Performance~without~enhancement}$$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:
\begin{equation}
SpeedupOverall = \frac{Old~Execution~Time}{New~Execution~Time}
\end{equation}
\begin{equation}
New~Exec~Time = Old~Exec~Time \left( 1 - FractionEnhanced + \frac{FractionEnhanced}{SpeedupEnhanced}\right)
\end{equation} 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) + ------------------ )
SpeedupEnhancedBack to ComputerTerms