|
Size: 1107
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 11: | Line 9: |
| {{{#!latex2 $$SpeedupOverall = \frac{Old~Execution~Time}{New~Execution~Time}$$ }}} |
$$$Speedup Overall = \frac{Old~Execution~Time}{New~Execution~Time}$$$ |
| Line 15: | Line 11: |
| This gives a new Execution time of | |
| Line 16: | Line 13: |
| {{{#!latex2 $$New~Exec~Time = Old~Exec~Time \left( 1 - FractionEnhanced + \frac{FractionEnhanced}{SpeedupEnhanced}\right)$$ }}} {{{ 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 28: | Line 16: |
| 1 SpeedupOverall = -------------------------------------------- FractionEnhanced (1 - FractionEnhanced) + ------------------ ) SpeedupEnhanced |
|
| Line 34: | 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