|
Size: 709
Comment:
|
← Revision 32 as of 2020-01-23 23:15:20 ⇥
Size: 676
Comment:
|
| Deletions are marked like this. | Additions are marked like this. |
| Line 3: | Line 3: |
| [[latex2($$Speedup = \frac{Performance~using~enhancement~when~possible}{Performance~without~enhancement}$$)]] }}} |
$$$Speedup = \frac{Performance~using~enhancement~when~possible}{Performance~without~enhancement}$$$ |
| Line 10: | Line 9: |
| [[latex2($$SpeedupOverall = \frac{Old~Execution~Time}{New~Execution~Time}$$)]] | $$$Speedup Overall = \frac{Old~Execution~Time}{New~Execution~Time}$$$ |
| Line 14: | Line 13: |
| [[latex2($$New~Exec~Time = Old~Exec~Time \left( 1 - FractionEnhanced + \frac{FractionEnhanced}{SpeedupEnhanced}\right)$$)]] | $$$New~Exec~Time = Old~Exec~Time( 1 - Fraction Enhanced + \frac{Fraction Enhanced}{Speedup Enhanced})$$$ |
| Line 17: | Line 16: |
| [[latex2($$SpeedupOverall=\frac{1}{1-FractionEnhanced + \frac{FractionEnhanced}{SpeedupEnhanced}})]] | $$$Speedup Overall=\left(\frac{1}{1-Fraction Enhanced + \frac{Fraction Enhanced}{Speedup Enhanced}}\right)$$$ |
Back to ComputerTerms
$$$Speedup = \frac{Performance~using~enhancement~when~possible}{Performance~without~enhancement}$$$
See SpeedUp
Notice that we are talking about the entire task here and that performance (speedup) is defined in terms of execution time! So we have to define the following:
$$$Speedup Overall = \frac{Old~Execution~Time}{New~Execution~Time}$$$
This gives a new Execution time of
$$$New~Exec~Time = Old~Exec~Time( 1 - Fraction Enhanced + \frac{Fraction Enhanced}{Speedup Enhanced})$$$
So we have
$$$Speedup Overall=\left(\frac{1}{1-Fraction Enhanced + \frac{Fraction Enhanced}{Speedup Enhanced}}\right)$$$
Back to ComputerTerms