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Alex Rivera
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Is there a difference between this: average = (x1+x2)/2; deviation1 = x1 -average; deviation2 = x2 -average; variance = deviation1*deviation1 + deviation2*deviation2; and this: average2 = (x1+x2); deviation1 = 2*x1 -average2; deviation2 = 2*x2 -average2; variance = (deviation1*deviation1 + deviation2*deviation2) / 4; Note that in the second version I am trying to delay division as late as possible. Does the second version [delay divisions] increase accuracy in general? Snippet above is only intended as an example, I am not trying to optimize this particular snippet. BTW, I am asking about division in general, not just by 2 or a power of 2 as they reduce to simple shifts in IEEE 754 representation. I took division by 2, just to illustrate the issue using a very simple example.
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