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Subject: Re: Let's go out on a limb + chess: a fractal?

Author: Dann Corbit

Date: 17:20:51 01/14/99

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On January 14, 1999 at 19:43:13, Don Dailey wrote:
[snip]
>Give me a break!  3X for Rebel?  There is no possibility of a
>reasonable discussion if I now have to refute unproven claims
>of 3X speedups from programs that are great already and anecdotes
>like this.  Show me this product, prove it to me and then we'll
>talk.
Of course, even in the most time critical areas, a 2-3x speedup won't even give
you one more ply (depending upon how you define 2-3x speedup perhaps).
I have made itty-bitty changes to two or three lines and found 8x speedup of
routines so I don't think the claim is absurd.  Since the nature of solving
chess problems by current methods is O(exp(n)) chaging the multiplier in front
won't help much as n increases.

I have a notion about solving chess equations.  Chess looks very much like a
fractal equation to me (in n-space).  If we could find a fractal equation for a
given position, we might be able to solve forward.  Perhaps we could even
differentiate the function and glide down the maximal slope.



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