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Subject: Re: Definition of branching factor?

Author: Robert Hyatt

Date: 08:18:56 01/31/01

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On January 31, 2001 at 03:29:12, Severi Salminen wrote:

>>There are two terms that are intermixed often:
>>
>>1.  "branching factor" usually means the average number of branches from a
>>node, which for chess averages 35-38 (depending on who you believe) for the
>>whole game.
>>2.  "effective branching factor" is roughly calculated as you mentioned.  IE
>>nodes for iteration N-1 divided into nodes for iteration N.  Or you can use
>>the time.
>
>Ok, now I know the terms. Case 2 is what I indeed meant.
>
>What equation do you use for EBF calculation. I just thought that maybe one
>should not use the number of nodes in the equation I gave, but the number of
>leaf nodes.
>
>root_moves*EBF^(DEPTH-1)=leaf_nodes (not total nodes, I think)
>
>In initial position you have
>
>20*20^(2-1)=400 which is the number of leaves in ply 2.
>
>Using this I have EBF (in Vincent's position) of 3.8. So I still have to improve
>:)
>
>Severi


Since nodes per second is fairly constant for a program, you can either
use nodes(ply)/nodes(ply-1) or time(ply)/time(ply-1).  Those two numbers
should be pretty similar.

doing it for leaf positions should also result in fairly comparable numbers,
although search extensions can affect this.  I would just use _all_ nodes
to keep it simple and to remain compatible with what others quote.



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