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Subject: Comparision of Ply Depth verses Rating Performance

Author: Jim Monaghan

Date: 09:06:35 08/09/02


Hi,

Comparision of Ply Depth verses Rating Performance

I understand this has been done before and probably much better. Anyway, I ran
the IQ test as Bill suggested. Working with average ply depth instead of time,
makes the table more universally applicable to different programs and hardware.
Again there is nothing absolute about the rating numbers -- it's the differences
that are important. By pumping it through Yace 0.99.56 at ascending ply depths I
came up with the following table:

Cel 1.3 Ghz/256 (32 MB HT)

Ave Depth	Found 		Percent		IQ elo 		Rating Gain
(Plys)		(Total=360)			(Max=2764)	(Difference)

5		159		44.17		2094		--
6		206		57.22		2251		157
7		241		66.94		2367		116
8		271		75.28		2467		100
9		288		80.00		2524		57
10		308		85.56		2591		67
11		315		87.50		2614		23


The tree really explodes at 12 ply on a lot of these positions and would take a
huge amount of time. I would expect very little gain in performance anyway.
Knowing (or assuming) that the relationship between ply depth and rating
performance is a lograthmic function, I wonder if a mathematician here can
extrapolate this table working with columns 1 and 5. Hopefully there is enough
of a trend. The rating gain going from ply 8 to ply 9 is either a little low at
57, or the gain from ply 9 to ply 10 is a little high at 67, or both. The chart
could perhaps step a little better, but I'm reporting it as directly as it came
out. Maybe the table can be smoothed out for projection purposes. What would the
expected gain be going from ply 11 to 12, ply 12 to ply 13, etc? Is there a
ceiling? In a theoretical sense, I guess there isn't a ceiling -- but
practically when you consider time spent to achieve higher plys, there might as
well be. Interesting ...

Cheers,
Jim



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