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Subject: Re: Here are some actual numbers

Author: Ricardo Gibert

Date: 07:15:33 04/18/03

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On April 18, 2003 at 09:33:15, Robert Hyatt wrote:

>On April 18, 2003 at 01:36:20, Ricardo Gibert wrote:
>
>>On April 17, 2003 at 10:42:23, Robert Hyatt wrote:
>>
>>>On April 16, 2003 at 20:22:26, Ricardo Gibert wrote:
>>>
>>>>On April 16, 2003 at 20:01:19, J. Wesley Cleveland wrote:
>>>>
>>>>>On April 16, 2003 at 14:30:03, Robert Hyatt wrote:
>>>>>
>>>>>
>>>>>>No you can't.  You _always_ have to search every move at the root.  that is the
>>>>>>_only_ node where you can make that statement.
>>>>>
>>>>>ob_nitpick: If the position is mate in 1, then you only need to search the
>>>>>mating move.
>>>>
>>>>
>>>>I already pointed this out. In fact, this is true for any odd depth ending in
>>>>mate as per Knuth/Moore. RH wants to dismiss this as uncommon, while avoiding
>>>>admitting the statement, "You _always_ have to search every move at the root" is
>>>>false.
>>>
>>>
>>>OK.  In a normal game, in 99.999999999999999999999999999999999999999999999% of
>>>the positions, you have to search _all_ moves at the root.
>>>
>>>Is that better?
>>>
>>>I just looked at 200 games with GM players vs Crafty.  Not a _single_ game ended
>>>with
>>>mate in 1 by Crafty.  The GM resigned when he saw a mate coming.
>>>
>>>I don't _care_ about non-root positions, because if you notice, the discussion
>>>was about
>>>splitting the parallel search at the _root_.  Everybody splits below the root so
>>>that's moot.
>>>But at the root, it isn't.  And I would call
>>>99.99999999999999999999999999999999999999999999% close enough to 100% to say
>>>"all root positions".
>>>
>>>It is _far_ more likely to find a position with only one legal move at the root,
>>>but then the
>>>discussion is moot again because there is no opportunity to split at the root.
>>>
>>>I'm not sure why the "nit-pick" is so very important...
>>
>>(1) It's important, because you present as true the statement, "You _always_
>>have to search every move at the root", which is false. This is clear, because
>>you emphasize with "_always_".
>>
>>(2) It's important, because mate in 1 is only the most obvious example. The same
>>thing holds for mate in 3 plys, mate in 5 plys, mate in 7 plys, mate in 9 plys,
>>etc. All according to Knuth/Moore BTW.
>
>This is wrong.  If I find a mate in 3 plies I can't stop.  I have to search to
>be sure there
>isn't a shorter mate, which at least means a complete pass thru the root moves..


If what you are talking about is finding this mate in 3 plys, because of
extensions or qsearch, it might still be possible to find a shorter mate, since
there could still be a mate in 1 ply or you might even get mated in 2 plys.

However, if you are using iterative deepening and you are currently searching to
a depth of 3 and you find a mate in 3 plys, there is no point in searching other
root moves. Because of iterative deepening, you have already eliminated the
shorter mates.

Your "This is wrong" puts you in opposition to Knuth/Moore. Maybe you should
write them and explain to them where they went wrong? ;)


>
>
>>
>>(3) It's important, because it is not as rare as you seem to think.
>
>No times in 200 games, where each game averaged 60 moves long.  12,000 root
>positions to be searched, one where there was a mate in 1 found.
>
>I call that "not important at all".
>
>
>>
>>If your engine ever searches to an odd depth and if the evaluation of the root
>>position is supposed to be +infinity, then your engine does not need to search
>>all the moves at the root.
>
>
>And exactly when will that happen?  Only on a mate in 1 for me, and against good
>players it just doesn't happen...
>
>I searched through 4,000 games last night, looking for "#" indicating that there
>was a
>mate in one in the game.  I found seven.  All appeared to be unexpected and
>happened when
>the GM was _very_ short on time so that he probably didn't notice he was making
>a bad
>mistake.
>
>I therefore conclude that when talking about splitting at the root, my statement
>"you always
>search all legal moves at the root" is quite accurate.  If you'd prefer, I'm
>more than happy to
>change it to "in 99.825% of the cases, you will have to search all root moves."
>But, in light
>of parallel search, 99.825 is 100%.



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