The Essentials ofComputer(computer) 477

The Essentials ofComputer(computer) 477 - The details of...

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Program Geometric Mean 1.6733 1 0.6898 System A Execution Time Execution Time Normalized to B v w x y z 50 200 250 400 5000 2 2 2 2 0.82 System B Execution Time Execution Time Normalized to B 100 400 500 800 4100 1 1 1 1 1 System C Execution Time Execution Time Normalized to B 500 600 500 800 3500 0.2 0.6667 1 1 1.1714 TABLE 10.4 The Geometric Means for This Sample of Five Programs, Found by Taking the Fifth Root of the Products of the Normalized Execution Times for Each System Program Geometric Mean 2.4258 1.4497 1 System A Execution Time Execution Time Normalized to C v w x y z 50 200 250 400 5000 10 3 2 2 0.7 System B Execution Time Execution Time Normalized to C 100 400 500 800 4100 5 1.5 1 1 0.8537 System C Execution Time Execution Time Normalized to C 500 600 500 800 3500 1 1 1 1 1 TABLE 10.5 The Geometric Means When System A Is Used for a Reference System
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Unformatted text preview: The details of this calculation are shown in Table 10.4. One of the nice properties of the geometric mean is that we get the same results regardless of which system we pick for a reference. Table 10.5 shows the results when System C is the reference machine. Notice that the ratio of the geometric means is consistent no matter which system we choose for the reference machine: Geometric mean A Geometric mean B ≈ 1 . 67 and Geometric mean B Geometric mean C ≈ 1 . 45 and Geometric mean A Geometric mean C ≈ 2 . 43 . We would find the same ratios if we used System A as a reference....
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