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Subject: Re: A question on Cut-off ?

Author: Andrew Dados

Date: 13:43:39 07/15/04

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On July 15, 2004 at 15:16:55, Gopikrishna wrote:

>Fail highs occur more often than Fail Lows right? I mean in a good searching
>normally Beta cut offs % is around? Thanks.

(for the moment lets disregard 'exact nodes, with non-zero alpha-beta window)

Consider this: for node to be a fail high (FH) node all its children must fail
low (and all of its children must be searched).
For node to be a fail low (FL) node only one of its children must fail high (so
we stop at first failing high move).
Those nodes alternate in search when going 'down depth' :

node:   FL-FH-FL-FH-...
depth:  0  1  2  3  ...

What is the ratio of FH to FL nodes depends on how good is your move ordering:
in ideal move ordering it would be close to 50% while in real move ordering
20-30% of FH is good.

This above has some implication in replacing schema for transposition table:
always replace FL nodes with FH nodes for same remaining depth ('draft') because
FL nodes are less costly to compute (cost of FH at depth=d is close to cost of
FL at d+1).

-Andrew-



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