Diff for "AmdahlsLaw"

Differences between revisions 13 and 15 (spanning 2 versions)

$$Speedup = \frac{Performance~using~enhancement~when~possible}{Performance~without~enhancement}$$

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:

$$SpeedupOverall = \frac{Old~Execution~Time}{New~Execution~Time}$$

$$New~Exec~Time = Old~Exec~Time \left( 1 - FractionEnhanced + \frac{FractionEnhanced}{SpeedupEnhanced}\right)$$

or

                       Execution Time affected by Improvement
New Execution Time =   --------------------------------------  + Execution Time unaffected
                            Amount of Improvement (x times) 

So we have
                                     1
SpeedupOverall = --------------------------------------------
                                           FractionEnhanced
                 (1 - FractionEnhanced) + ------------------ )
                                           SpeedupEnhanced

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-  ⇤ ← Revision 13 as of 2005-06-27 22:22:36 → 
  Size: 1467
  Editor: yakko
  Comment:
+   ← Revision 15 as of 2005-06-27 22:24:50 → ⇥
  Size: 1105
  Editor: yakko
  Comment:
-Deletions are marked like this.
+Additions are marked like this.
 Line 4:
-\begin{equation} \label{eq:speedup}
   Speedup = \frac{Performance~using~enhancement~when~possible}{Performance~without~enhancement}
\end{equation}
+$$Speedup = \frac{Performance~using~enhancement~when~possible}{Performance~without~enhancement}$$
-Line 14:
+Line 12:
-\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}
+$$SpeedupOverall = \frac{Old~Execution~Time}{New~Execution~Time}$$
}}}

{{{#!latex2
$$New~Exec~Time = Old~Exec~Time \left( 1 - FractionEnhanced + \frac{FractionEnhanced}{SpeedupEnhanced}\right)$$
-Line 23:
+Line 20:
-                                                                    FractionEnhanced
New Execution Time = Old Execution Time ( (1 - FractionEnhanced) + ------------------ )
                                                                    SpeedupEnhanced