1105
Comment:
|
720
|
Deletions are marked like this. | Additions are marked like this. |
Line 3: | Line 3: |
{{{#!latex2 $$Speedup = \frac{Performance~using~enhancement~when~possible}{Performance~without~enhancement}$$ }}} |
<<latex($$Speedup = \frac{Performance~using~enhancement~when~possible}{Performance~without~enhancement}$$)>> |
Line 11: | Line 9: |
{{{#!latex2 $$SpeedupOverall = \frac{Old~Execution~Time}{New~Execution~Time}$$ }}} |
<<latex($$SpeedupOverall = \frac{Old~Execution~Time}{New~Execution~Time}$$)>> (1) |
Line 15: | Line 11: |
{{{#!latex2 $$New~Exec~Time = Old~Exec~Time \left( 1 - FractionEnhanced + \frac{FractionEnhanced}{SpeedupEnhanced}\right)$$ }}} |
This gives a new Execution time of |
Line 19: | Line 13: |
{{{ or Execution Time affected by Improvement New Execution Time = -------------------------------------- + Execution Time unaffected Amount of Improvement (x times) |
<<latex($$New~Exec~Time = Old~Exec~Time \left( 1 - FractionEnhanced + \frac{FractionEnhanced}{SpeedupEnhanced}\right)$$)>> |
Line 27: | Line 16: |
1 SpeedupOverall = -------------------------------------------- FractionEnhanced (1 - FractionEnhanced) + ------------------ ) SpeedupEnhanced |
|
Line 33: | Line 17: |
}}} | <<latex($$SpeedupOverall=\left(\frac{1}{1-FractionEnhanced + \frac{FractionEnhanced}{SpeedupEnhanced}}\right)$$)>> |
Back to ComputerTerms
<<latex($$Speedup = \frac{Performance~using~enhancement~when~possible}{Performance~without~enhancement}$$)>>
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:
<<latex($$SpeedupOverall = \frac{Old~Execution~Time}{New~Execution~Time}$$)>> (1)
This gives a new Execution time of
<<latex($$New~Exec~Time = Old~Exec~Time \left( 1 - FractionEnhanced + \frac{FractionEnhanced}{SpeedupEnhanced}\right)$$)>>
So we have
<<latex($$SpeedupOverall=\left(\frac{1}{1-FractionEnhanced + \frac{FractionEnhanced}{SpeedupEnhanced}}\right)$$)>>
Back to ComputerTerms