1415
Comment:
|
← Revision 32 as of 2020-01-23 23:15:20 ⇥
676
|
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 11: | Line 9: |
{{{#!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} }}} |
$$$Speedup Overall = \frac{Old~Execution~Time}{New~Execution~Time}$$$ |
Line 20: | Line 11: |
{{{ | This gives a new Execution time of |
Line 22: | Line 13: |
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) |
$$$New~Exec~Time = Old~Exec~Time( 1 - Fraction Enhanced + \frac{Fraction Enhanced}{Speedup Enhanced})$$$ |
Line 33: | Line 16: |
1 SpeedupOverall = -------------------------------------------- FractionEnhanced (1 - FractionEnhanced) + ------------------ ) SpeedupEnhanced |
|
Line 39: | Line 17: |
}}} | $$$Speedup Overall=\left(\frac{1}{1-Fraction Enhanced + \frac{Fraction Enhanced}{Speedup Enhanced}}\right)$$$ |
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