Diff for "AmdahlsLaw" - Dr. A's Wiki

Differences between revisions 23 and 32 (spanning 9 versions)

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

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

$$$Speedup Overall=\left(\frac{1}{1-Fraction Enhanced + \frac{Fraction Enhanced}{Speedup Enhanced}}\right)$$$

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-  ⇤ ← Revision 23 as of 2005-06-27 22:28:22 → 
  Size: 1150
  Editor: yakko
  Comment:
+   ← Revision 32 as of 2020-01-23 23:15:20 → ⇥
  Size: 676
  Editor: 68
  Comment:
-Deletions are marked like this.
+Additions are marked like this.
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-{{{#!latex2
$$Speedup = \frac{Performance~using~enhancement~when~possible}{Performance~without~enhancement}$$
}}}
+$$$Speedup = \frac{Performance~using~enhancement~when~possible}{Performance~without~enhancement}$$$
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+Line 9:
-Start with stuff and [[latex2($$SpeedupOverall = \frac{Old~Execution~Time}{New~Execution~Time}$$)]] (1) and more stuff over here.
+$$$Speedup Overall = \frac{Old~Execution~Time}{New~Execution~Time}$$$
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+Line 11:
-{{{#!latex2
$$New~Exec~Time = Old~Exec~Time \left( 1 - FractionEnhanced + \frac{FractionEnhanced}{SpeedupEnhanced}\right)$$
}}}
+This gives a new Execution time of
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+Line 13:
-{{{
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 25:
+Line 16:
-
SpeedupOverall = --------------------------------------------
                                           FractionEnhanced
                 (1 - FractionEnhanced) + ------------------ )
                                           SpeedupEnhanced
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+Line 17:
-}}}
+$$$Speedup Overall=\left(\frac{1}{1-Fraction Enhanced + \frac{Fraction Enhanced}{Speedup Enhanced}}\right)$$$