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Subject: Re: The number of nodes of critical trees?

Author: Ernst A. Heinz

Date: 12:53:35 11/01/00

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>That is one too many degrees of freedom.  I am interested in the case
>"given the current Crafty search/evaluation, how much smaller would the tree
>be if move ordering were optimal?"  Or re-phrased to the original post in this
>thread, "how close is the typical tree searched by Crafty to the minimal tree
>that would be searched if move ordering were perfect?"

This is certainly an interesting question and experiment, too.

However, "perfect move ordering" is not so easy to determine
in your setting if you stick with the variable-depth search of
your standard version of "Crafty". In this case, best-first
move ordering is not necessarily "perfect" or "optimal" with
respect to the numbers of nodes searched to establish the root
value. For, other moves than the best ones might lead to
cheaper cutoffs requiring smaller search trees in the presence
of forward pruning and extensions.

=Ernst=




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