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Subject: Re: Is the Depth directly proportional to the program's strength? (YES!)

Author: Sune Fischer

Date: 07:45:25 02/06/02

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On February 06, 2002 at 10:30:15, Tony Werten wrote:
>>So it would seem, but the search is exponential and not linear.
>>I think you should not consider the "depth" but rather the number of nodes
>>searched.
>
>Doesn't make a difference. Depth and number of nodes are the "same".

Not at all, nodes is an exponential function of depth.

>>If you go one ply deeper then (assuming your branch factor (BF) is not too depth
>>dependent) you a factor of BF more nodes, this ratio is fairly constant so I'd
>>go with Uri's definition.
>
>Ok, have it your way. in 4-3 you give BF/3BF advantage and in 5-4 you give
>BF/4BF advantage.

I do not understand your ratios, if you mean:
nodes(ply n+1) ~= BF*nodes(ply n)
then we agree.

>The ratio is constant, but the added percentage isn't.
>
>New example: distance 100 miles.
>10 Mph=> 10 h
>20 Mph=>  5 h
>30 Mph=>  3.3 h
>40 Mph=>  2.5 h
>
>New paper. Diminishing returns in carspeed ?

:)
This is correct, but not related to our discussion.
These are linear relations, not exponential.

>Tony
>
>>
>>The diminishing returns issue is probably an effect of converging towards the
>>ideal move as often as possible.
>>
>>-S.



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