Author: Jeremiah Penery
Date: 07:16:12 10/20/99
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On October 20, 1999 at 06:26:58, Graham Laight wrote: >On the basis of what I have read in these threads, I propose the following >formula for the relationship between ply depth and elo rating: > >log((ply * K) + C1) * C2 > >Where ply = depth to which the search is 100% complete >K = Knowledge level of program >C1 and C2 are constants > >K is calculated as follows: > >If T is the total of all chess knowledge, and KP is the knowledge level of the >program, then K = KP/(T - KP) K and KP are both equal to the knowledge level of the program? How do you determine KP? Is T equal to 1? >Needless to say, the formula does not take account of search extensions (except >that you can adjust the knowledge rating according to the cleverness of the >extensions). > >I name this formula "Laight's Equation - 20/10/99" :)) >To illustrate the formula in action, I will use the following values: > >K = 0.15 Is this a low-knowledge program? >C1 = 1.5 >C2 = 4300 What made you pick these numbers? >This would yield the following results: > >Ply Elo Rating >=== ========== > >2 1098 >4 1386 >6 1635 >8 1855 >10 2052 >12 2230 >14 2392 >16 2542 >18 2680 >20 2809 >22 2929 That looks quite interesting, and probably quite accurate. :) The only things I wonder are how you got the C1 and C2 values, and exactly what K=0.15 means. Jeremiah
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