If your data is not linear massage it so that is

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Unformatted text preview: (p) = a + c/p a: the sequential part, c: the parallelizable part 10 Plotting hyperbolic functions n༆  A simple way to turn T(p) = c/p into a straight line is to plot its reciprocal: y = 1/T(p) = p/c ¨༊  ¨༊  n༆  This is a straight line with slope 1/c. When analyzing parallel performance we scale this to y’=T(1)/T(p). If T(p) is the time it takes to execute a program with p processors, we call this the speedup of the program In the case of T(p) = a + c/p, the speedup is S(p)=T(1)/T(p)= (a+c)/(a+c/p) ¨༊  For a>0 this is not a straight, but a curve that grows and then flattens out to a constant (a+c)/a Plotting Data: Summary n༆  Visually, a straight line conveys the most information. ¨༊  If your data is not linear, massage it so that is linear, then deduce the original function. n༆  If y=f(x) is polynomial: log y is linear with log x y = f ( x ) = a0 + a1 x + + an x n ≈ an x n (asymptotically) log y = log an + nlog x n༆  If y=f(x) is exponential: log y is linear with x y = f ( x ) = ba x log y = log b + x (log a ) n༆  In the case of T(p) = a + c/p, the speedup is...
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