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Subject: Re: A pondering idea... [a more clear {hopefully} example]

Author: Dann Corbit

Date: 21:58:15 09/27/01

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On September 27, 2001 at 23:44:19, Robert Hyatt wrote:

>On September 27, 2001 at 19:05:43, Dann Corbit wrote:
>
>>On September 27, 2001 at 17:48:32, Peter Fendrich wrote:
>>[snip]
>>>Yes, I buy all that. My intention was to oppose to the "it's impossible"
>>>statement. You are talking about some general case. There is no reason why each
>>>move has to be 20% because the first one is. That's why I'm talking about
>>>isolating cases where the other move might be better. Another question is what
>>>happens if the ponder move has only 10% or 5% probability.
>>>I have no proofs that these cases are possible to identify but I'm still open
>>>for it, until I know better...
>>
>>Also, it does not have to be either/or.
>>
>>We could ponder the root for 1/2 of the extrapolated opponent time slice, and at
>>that point, change to the pm and ponder that.
>>
>>It seems to me that there are many possibilities.
>>
>>Something that is puzzling me...
>>If one move is really much better than the others, then we would think that it
>>would fail high, re-search, and gobble most of the time anyway.  If that does
>>not happen, then some of the alternatives must be pretty good.
>>
>>So, why does pondering root yield only a 2% gain, and pondering the pm give an
>>enormous one?
>>
>>It still does not make sense to me.
>>
>>I guess I'm just having a hard time understanding why it is so much better to
>>ponder the pm instead of the root.
>
>If by "root" you mean the position _before_ any opponent move, then the reason
>is obvious...  you will spread your time over N moves, which means that when
>the opponent moves, you will have looked at the _right_ move only 1/N of the
>time.  You still have a long time to search to meet the target time for this
>search.

By the root, I mean "the root move for the opponent -- after I have made my move
but before the opponent returns the response.  In other words, the opponent's
current position.

If the search is so even that time is distributed over N moves, then the chance
of picking the right one is only 1/N anyway.

If two or three moves are far better than the others, then most of the time will
have been spent searching them.

If one move is dominatingly better, then most of the time will have been spent
searching that time anyway (because of fail-highs).

Now, that's on the one hand.  On the other hand, picking the right move to
ponder probably has a big kick of extra value.  That's because I often see test
positions that computers cannot solve in a long search, but once they get the
key move, they solve it immediately.



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