Author: Jeremiah Penery
Date: 22:42:46 01/26/00
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On January 27, 2000 at 01:30:22, Ernst A. Heinz wrote: >On January 27, 2000 at 01:10:16, Jeremiah Penery wrote: >> >>The reason increasing _speed_ has diminishing returns is that the tree grows >>exponentially. > >??? > >If you increase the speed by the same *relative proportion* it >also grows exponentially. The "diminishing returns" question was >always posed in this fair setting of exponential speed/time increase. This is what Dann said: >>IOW, more horsepower is a tough way to make chess programs play better. There >>is also evidence (according to some) that the increase in speed has >>*diminishing* returns. Hence, it may take a terahertz to get there. Don't know >>of any material that could do that, not even a Josephson Junction. I assumed that when he said, "tough way to make chess programs play better." that he meant it would be hard to make them actually play better in games of some fixed time control just by giving them better hardware. Increasing the time exponentially so that the depth can be increased isn't what I assume Dann had in mind. And if you have to increase the speed exponentially just to see any gain at all, that's still diminishing returns compared to the "2x speed = 50 Elo point gain" equation.
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