Computer Chess Club Archives


Search

Terms

Messages

Subject: Re: DEEP BLUES AVERAGE PLY?

Author: Vincent Diepeveen

Date: 07:35:13 08/21/02

Go up one level in this thread


On August 21, 2002 at 10:26:57, Terry McCracken wrote:

hello,

Another thing.

In 1998/1999 Hyatt claimed that deep blue searched 11 to 12 ply,
but that their *extensions* were better than everyone else.

They used singular extensions.

In 2000/2001, i also was using singular extensions, as well as
several other programs. Then suddenly when we searched above 11 to 12 ply
depths, it was said that the 12(6) of the machine which means 12 ply
nominal search depth, was excluding 6 ply hardware search depth.

Which is bloody idiocy in itself, because the thing had no hashtable.

The big theoretician Knuth has written a lemma for game tree search.

The minimum tree to search at 18 ply search depth using alfabeta
(without nullmove which wasn't used by deep blue):

2 * (squareroot(number of legal moves) ^ depth)

or:

2 * sqrt(40)^18 = 524288000000000 nodes needed to search it *minimum*.

As you can imagine, getting 11 to 12 ply fullwidth search was already a
very good achievement in 1997.

Also the (6) can't be hardware search depth as the paper clearly says
they searched nominal 11 to 12 ply including hardware search depth and
the hardware could do at most 4 to 5 ply in hardware. 4 in middlegame,
5 in endgame. *not* 6.

They optimistically estimated their number of nodes at 126 million
nodes a second. From that about 20% were *effective* the other 80%
was lost by parallellism, as you can see in the document.

That is scientific not a very nice thing to do, as they cheated how they
got the 20% number. Even then it is 25MLN nodes a second, which
is not enough to search 524288000000000 nodes in 3 minutes.

Best regards,
Vincent


>On August 21, 2002 at 09:28:03, Uri Blass wrote:
>
>>On August 21, 2002 at 09:00:19, Terry McCracken wrote:
>>
>>>On August 21, 2002 at 08:22:06, Vincent Diepeveen wrote:
>>>
>>>>On August 21, 2002 at 08:13:47, emerson tan wrote:
>>>>
>>>>>wHATA IS DEEP BLUES AVERAGE PLY LEVEL ON TOURNAMENT TIME CONTROL, I UNDERSTAND
>>>>>THAT IT CALCULATES 200 MILLION POSITIONS PER SECOND BUT NEVER HEARD OF ITS
>>>>>AVERAGE PLY. THANKS
>>>>
>>>>they estimate it at 126 million nodes a seconda gainst deep blue.
>>>>
>>>>It had a nominal search depth (depth limit) of 12 ply. With a lot of
>>>>tactical extensions a lot of lines were searched at 17 ply though.
>>>>
>>>>that's however true for all chess programs. I averaged in DIEP way
>>>>deeper. It depends basically whether you count hashtable cutoffs with
>>>>the depth or not. I tend to not count them. In hardware there was not
>>>>a hashtable.
>>>>
>>>>Average search depth says nothing. The nominal search depth is more important.
>>>>This was 12 ply. So the weakest link were lines of 12 ply simply.
>>>>
>>>>Best regards,
>>>>Vincent
>>>
>>>
>>>Deep Blue II did searches with extensions of 17 ply + at 3 min. per move and
>>>wasn't uncommon to actually hit 22 plys.
>>>
>>>Dr. Robert Hyatt watched this with his own eyes, so I'm sure he'll have
>>>something relevant to say on this matter.
>>
>>Nobody watched the tree of deep blue.
>>
>>I remember from previous post that people in the deep blue team
>>said that the brute force depth was only 12 plies.
>>
>>The output of deeper blue also does not say 17 plies.
>>There are people who claim that 12(6) means 18 plies
>>brute force but the deep blue team never claimed it.
>>
>>I do not know what it means.
>>
>>It may mean 12 plies brute force with some selective search
>>of the next 6 plies(of course there were extensions but
>>the number 12 6 are not about extensions because
>>it is clear that the longest lines that they searched
>>were clearly more than 18 plies).
>>
>>Uri
>
>
>My mistake here is Dr. Hyatt read the logs, and I should have stated he read
>the logs...as no, he didn't see the readouts live at the Kasparov Deep Blue II
>Match.
>
>
>Terry
>
>P.S.
>Deep Blue II
>
>Was the fastest, most powerful Chess Computer ever built with the exception of
>Deep Blue III which never played Kasparov and was scrapped, and 5 years later
>it's still true and you can take that to the bank!
>
>Terry



This page took 0.01 seconds to execute

Last modified: Thu, 15 Apr 21 08:11:13 -0700

Current Computer Chess Club Forums at Talkchess. This site by Sean Mintz.