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Sometimes "pi = 3.14" is (a) infinitely faster than the "correct" answer and (b) the difference between the "correct" and the "wrong" answer is meaningless. And this is why I get upset when somebody dismisses performance issues based on "correctness". The thing is, some specious value of "correctness" is often irrelevant because it doesn't matter. While performance almost always matters. And I absolutely detest the fact that people so often dismiss performance concerns so readily.
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Linus Torvalds quote  time quotes
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