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Subject: Re: Post-Mortem Analysis "The importance of being a chess programmer"

Author: Rolf Tueschen

Date: 07:14:16 07/15/02

Go up one level in this thread


On July 15, 2002 at 08:29:14, José Carlos wrote:

>On July 15, 2002 at 07:22:50, Rolf Tueschen wrote:
>
>>On July 14, 2002 at 19:39:22, José Carlos wrote:
>>
>>>On July 14, 2002 at 19:25:34, Rolf Tueschen wrote:
>>>
>>>>On July 14, 2002 at 19:03:05, José Carlos wrote:
>>>>
>>>>>On July 14, 2002 at 18:18:32, Rolf Tueschen wrote:
>>>>>
>>>>>>On July 14, 2002 at 18:04:56, José Carlos wrote:
>>>>>>
>>>>>>>On July 14, 2002 at 07:03:35, Rolf Tueschen wrote:
>>>>>>>
>>>>>>>>On July 14, 2002 at 04:57:21, José Carlos wrote:
>>>>>>>>
>>>>>>>>>On July 14, 2002 at 01:38:40, Uri Blass wrote:
>>>>>>>>>
>>>>>>>>>>On July 13, 2002 at 19:05:35, José Carlos wrote:
>>>>>>>>>>
>>>>>>>>>>>On July 13, 2002 at 17:16:05, Rolf Tueschen wrote:
>>>>>>>>>>>
>>>>>>>>>>>>On July 13, 2002 at 16:57:51, José Carlos wrote:
>>>>>>>>>>>>
>>>>>>>>>>>>>On July 13, 2002 at 15:09:18, Rolf Tueschen wrote:
>>>>>>>>>>>>>
>>>>>>>>>>>>>>On July 13, 2002 at 08:02:09, José Carlos wrote:
>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>On July 13, 2002 at 07:15:53, Rolf Tueschen wrote:
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>On July 13, 2002 at 07:09:02, José Carlos wrote:
>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>On July 13, 2002 at 05:35:24, Uri Blass wrote:
>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>On July 12, 2002 at 19:16:31, José Carlos wrote:
>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>On July 12, 2002 at 14:56:11, Ed Schröder wrote:
>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>Hi CCC,
>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>In Rebel I maintain a statistic file, on every iteration a counter is
>>>>>>>>>>>>>>>>>>>>incremented with 1 (see column 2) representing the iteration depths Rebel has
>>>>>>>>>>>>>>>>>>>>searched. When a new best move is found a second counter is incremented with 1
>>>>>>>>>>>>>>>>>>>>(see column 3) representing how many times a new best move has been found on the
>>>>>>>>>>>>>>>>>>>>given iteration depth, between brackets the percentage is calculated.
>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>As you can see the very first plies Rebel often changes to new best moves,
>>>>>>>>>>>>>>>>>>>>however when the depth increases and increases the chance Rebel will change its
>>>>>>>>>>>>>>>>>>>>mind drops and drops. From 16 plies on the chance a new better move is found is
>>>>>>>>>>>>>>>>>>>>below 2%.
>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>I wonder what this all means, it is still said (and believed by many) that a
>>>>>>>>>>>>>>>>>>>>doubling in computer speed gives 30-50-70 elo. That could be very well true for
>>>>>>>>>>>>>>>>>>>>lower depths but the below statistic seem to imply something totally different,
>>>>>>>>>>>>>>>>>>>>a sharp diminishing return on deeper depths.
>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>Interesting also is colum 4 (Big Score Changes), whenever a big score difference
>>>>>>>>>>>>>>>>>>>>is measured (0.50 up or down) the percentage is calculated. This item seems to
>>>>>>>>>>>>>>>>>>>>be less sensitive than the change in best move. However the maintained "Big
>>>>>>>>>>>>>>>>>>>>Score Changes" statistic is not fully reliable as it also counts situations like
>>>>>>>>>>>>>>>>>>>>being a rook or queen up (or down) in positions and naturally you get (too) many
>>>>>>>>>>>>>>>>>>>>big score fluctuations. I have changed that and have limit the system to scores
>>>>>>>>>>>>>>>>>>>>in the range of -2.50 / +2.50 but for the moment have too few games played to
>>>>>>>>>>>>>>>>>>>>show the new statistic.
>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>Anyway the number of positions calculated seem to be more than sufficient (over
>>>>>>>>>>>>>>>>>>>>100,000) to be reliable. The origin came from extensive testing the latest Rebel
>>>>>>>>>>>>>>>>>>>>via self-play at various time controls.
>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>  Hi Ed, if I get this right, the second column (moves searched) is the number
>>>>>>>>>>>>>>>>>>>of positions in which the program has reached the depth given by column 1. If it
>>>>>>>>>>>>>>>>>>>was really "moves", there would be about 3x in depth 2 than in depth 1.
>>>>>>>>>>>>>>>>>>>  Then the idea is that many more changes happen in low depths because the
>>>>>>>>>>>>>>>>>>>program is there many more times, so I (ignoring "Big Changes") calculated a
>>>>>>>>>>>>>>>>>>>couple of other numbers:
>>>>>>>>>>>>>>>>>>>  The ratio moves changes / moves searched and the relative % of changes from
>>>>>>>>>>>>>>>>>>>ply to ply:
>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>                 SEARCH OVERVIEW
>>>>>>>>>>>>>>>>>>>                 ===============
>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>  (A)     (B)            (C)           (D)             (E)
>>>>>>>>>>>>>>>>>>>Depth    Moves          Moves     Moves Changed /   rel % of changes from
>>>>>>>>>>>>>>>>>>>       Searched        Changed    Moves Searched    ply n-1 to n
>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>> 1     113768         0 =  0.0%        0
>>>>>>>>>>>>>>>>>>> 2     113768     44241 = 38.9%    0.388870333
>>>>>>>>>>>>>>>>>>> 3     113768     34262 = 30.1%    0.30115674        77.44%
>>>>>>>>>>>>>>>>>>> 4     113194     32619 = 28.8%    0.288168984       95.69%
>>>>>>>>>>>>>>>>>>> 5     113191     30697 = 27.1%    0.271196473       94.11%
>>>>>>>>>>>>>>>>>>> 6     108633     28516 = 26.2%    0.262498504       96.79%
>>>>>>>>>>>>>>>>>>> 7     108180     25437 = 23.5%    0.235135885       89.58%
>>>>>>>>>>>>>>>>>>> 8     102782     22417 = 21.8%    0.218102391       92.76%
>>>>>>>>>>>>>>>>>>> 9      82629     15400 = 18.6%    0.186375244       85.45%
>>>>>>>>>>>>>>>>>>>10      59032      9144 = 15.5%    0.154899038       83.11%
>>>>>>>>>>>>>>>>>>>11      39340      5183 = 13.2%    0.131748856       85.05%
>>>>>>>>>>>>>>>>>>>12      23496      2350 = 10.0%    0.100017024       75.91%
>>>>>>>>>>>>>>>>>>>13      12692       957 =  7.5%    0.075401828       75.39%
>>>>>>>>>>>>>>>>>>>14       6911       396 =  5.7%    0.057299957       75.99%
>>>>>>>>>>>>>>>>>>>15       4032       193 =  4.8%    0.047867063       83.54%
>>>>>>>>>>>>>>>>>>>16       2471        72 =  2.9%    0.029138001       60.87%
>>>>>>>>>>>>>>>>>>>17       1608        26 =  1.6%    0.016169154       55.49%
>>>>>>>>>>>>>>>>>>>18       1138        17 =  1.5%    0.014938489       92.39%
>>>>>>>>>>>>>>>>>>>19        921         6 =  0.7%    0.006514658       43.61%
>>>>>>>>>>>>>>>>>>>20        795         7 =  0.9%    0.008805031      135.16%
>>>>>>>>>>>>>>>>>>>21        711         1 =  0.1%    0.00140647        15.97%
>>>>>>>>>>>>>>>>>>>22        636         2 =  0.3%    0.003144654      223.58%
>>>>>>>>>>>>>>>>>>>23        574         5 =  0.9%    0.008710801      277.00%
>>>>>>>>>>>>>>>>>>>24        507         1 =  0.2%    0.001972387       22.64%
>>>>>>>>>>>>>>>>>>>25        451         3 =  0.7%    0.006651885      337.25%
>>>>>>>>>>>>>>>>>>>26        394         1 =  0.3%    0.002538071       38.16%
>>>>>>>>>>>>>>>>>>>27        343         2 =  0.6%    0.005830904      229.74%
>>>>>>>>>>>>>>>>>>>28        296         2 =  0.7%    0.006756757      115.88%
>>>>>>>>>>>>>>>>>>>29        269         0 =  0.0%    0                  0.00%
>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>  Column (D) means the probability at a certain position at a certain depth to
>>>>>>>>>>>>>>>>>>>get a change, according to your data, for a random position (I assume you chose
>>>>>>>>>>>>>>>>>>>random positions, because this data comes from real games).
>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>No
>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>I assume that the positions that was searched to big depthes like 16 are only
>>>>>>>>>>>>>>>>>>positions that the program had enough time to search in the game to depth 16.
>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>These positions are not random positions from games.
>>>>>>>>>>>>>>>>>>I expect in random positions from games to see at least 10% changes at depth 16.
>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>Uri
>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>  It's interesting that Ed, who has been doing chess programming for a lot of
>>>>>>>>>>>>>>>>>years rely on statistical data, and you, absolute newbie to chess programming
>>>>>>>>>>>>>>>>>can 'expect'. Quite amazing.
>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>  José C.
>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>Very telling about your lack of knowledge about interdisciplinary thinking.
>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>Rolf Tueschen
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>  Well, you needed several hundred posts from Dann to understand the simple
>>>>>>>>>>>>>>>concept of elo ratings. Lack of knowledge is easy to solve, while lack of
>>>>>>>>>>>>>>>intelligence is a real problem.
>>>>>>>>>>>>>>>  BTW, interdisciplinary thinking has nothing to do with validating intuitions
>>>>>>>>>>>>>>>through experiments.
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>  José C.
>>>>>>>>>>>>>>
>>>>>>>>>>>>>>Your habits are a bit strange for CCC. You want to insult people for their
>>>>>>>>>>>>>>intelligence? Didn't you know that this is out of fashion?
>>>>>>>>>>>>>
>>>>>>>>>>>>>  Did you feel insulted? Oh, sorry, I didn't insult you, really.
>>>>>>>>>>>>>
>>>>>>>>>>>>>>Also you cannot prove
>>>>>>>>>>>>>>your visions.
>>>>>>>>>>>>>
>>>>>>>>>>>>>  Visions? I don't have visions. Maybe you take me for someone else ?!
>>>>>>>>>>>>>
>>>>>>>>>>>>>>But I can prove where you lack of knowledge. Look at this:
>>>>>>>>>>>>>>
>>>>>>>>>>>>>>How do you know if or when I understood Elo system? Dann didn't
>>>>>>>>>>>>>>explain anything to _me_,
>>>>>>>>>>>>>
>>>>>>>>>>>>>  Don't feel bad because Dann had to explain that to you. It can happen to
>>>>>>>>>>>>>everybody.
>>>>>>>>>>>>>
>>>>>>>>>>>>>>He was the only one having the courage to give his verdict about SSDF
>>>>>>>>>>>>>>Elo system - _with_ me! We two the only ones. And you were dreaming of his role
>>>>>>>>>>>>>>as _my_ teacher? That's funny.
>>>>>>>>>>>>>
>>>>>>>>>>>>>  I'm glad you enjoied Dann's lessons. Dann is very good at that. I also always
>>>>>>>>>>>>>enjoy his posts.
>>>>>>>>>>>>>
>>>>>>>>>>>>>>You do not  understand what validity means... ;-)
>>>>>>>>>>>>>
>>>>>>>>>>>>>  Good argument!
>>>>>>>>>>>>>
>>>>>>>>>>>>>>You have no idea of what interdisciplinary means too.
>>>>>>>>>>>>>
>>>>>>>>>>>>>  Damn, you leave me without words!
>>>>>>>>>>>>>
>>>>>>>>>>>>>>You are the typical expert
>>>>>>>>>>>>>>with narrow views.
>>>>>>>>>>>>>
>>>>>>>>>>>>>  Thanks for calling me expert... bah, just a little degree in computer science
>>>>>>>>>>>>>and a few publications don't make me an expert...
>>>>>>>>>>>>>
>>>>>>>>>>>>>>Do not insult Uri.
>>>>>>>>>>>>>
>>>>>>>>>>>>>  I didn't. He knows it.
>>>>>>>>>>>>>  BTW, do you feel the need to defend him? Don't you think he is capable to
>>>>>>>>>>>>>defend himself? I think it's you who is insulting Uri.
>>>>>>>>>>>>>
>>>>>>>>>>>>>>Because he knows a lot about chess.
>>>>>>>>>>>>>
>>>>>>>>>>>>>  The first thing where we agree! Cheers!
>>>>>>>>>>>>>
>>>>>>>>>>>>>>Know
>>>>>>>>>>>>>>what I mean? Chess is the basis for computerchess. :)
>>>>>>>>>>>>>
>>>>>>>>>>>>>  Words of wisdom...
>>>>>>>>>>>>>
>>>>>>>>>>>>>>Only interdisciplinary help could enlighten you. If you have questions, please
>>>>>>>>>>>>>>tell me, I'll try to do my best for you.
>>>>>>>>>>>>>>
>>>>>>>>>>>>>>Rolf Tueschen
>>>>>>>>>>>>>
>>>>>>>>>>>>>  Thank you very much. I'll ask you anything I don't understand.
>>>>>>>>>>>>>
>>>>>>>>>>>>>  José C.
>>>>>>>>>>>>
>>>>>>>>>>>>No reason to become so upset only because I told you not to insult Uri.
>>>>>>>>>>>>You have insulted him on his lack of intelligence
>>>>>>>>>>>
>>>>>>>>>>>  Uri knows I didn't. It seems _you_ are not capable to understand. I'm sorry,
>>>>>>>>>>>I'm not gonna explain _you_ what I said to Uri. He understood. That's enough.
>>>>>>>>>>>Please, stop defending him from nothing.
>>>>>>>>>>
>>>>>>>>>>You did not insult me for lack of intelligence but you said that you find it
>>>>>>>>>>strange that I disagree with Ed when Ed has a lot of experience about chess
>>>>>>>>>>programming and I am new in the task of chess programming.
>>>>>>>>>>
>>>>>>>>>>I think that the fact that I am new in chess programming was not relevant for
>>>>>>>>>>the discussion because I do not need to be a programmer to have an opinion about
>>>>>>>>>>data that everyone can see after hours of analyzing.
>>>>>>>>>>
>>>>>>>>>>I doubt if Ed has more experience than me in giving programs hours to analyze
>>>>>>>>>>and looking if the program changes it's mind.
>>>>>>>>>>
>>>>>>>>>>The data that Ed gave is from games and if programs can get depth 16
>>>>>>>>>>in games then the position is relatively simple so the program usually does not
>>>>>>>>>>change it's mind.
>>>>>>>>>>
>>>>>>>>>>Note that I believe in diminishing returns but I still expect significant gain
>>>>>>>>>>from hardare in the near future.
>>>>>>>>>>
>>>>>>>>>>I believe that the difference in comp-comp games at 24 hours per move may be
>>>>>>>>>>only 40 elo from doubling the speed and not 70 elo but 40 elo is still
>>>>>>>>>>significant.
>>>>>>>>>>
>>>>>>>>>>Uri
>>>>>>>>>
>>>>>>>>>  My comment was about you "expecting" where Ed was providing experimental data,
>>>>>>>>>nothing more nothing less. Then I asked you for data, you posted some logs and I
>>>>>>>>>find them interesting. That's all. Rolf just invented some nonsense to create
>>>>>>>>>mess. That's his style.
>>>>>>>>>
>>>>>>>>>  José C.
>>>>>>>>
>>>>>>>>Some people find it helpful to crucify the reporter who reported their own
>>>>>>>>mistakes. That is telling! You brought the indecent argument that Ed were
>>>>>>>>programmer and Uri NOT. That alone is telling. Because the one had nothing
>>>>>>>>to do with the other in the question that was debated here.
>>>>>>>
>>>>>>>  Uri understood it. I've already explained it to you. I won't explain it again.
>>>>>>>I'm not so patient as Dann.
>>>>>>
>>>>>>Another change of the truth. Uri wrote the almost exact phrase I addressed to
>>>>>>you. Period.
>>>>>>
>>>>>>>
>>>>>>>> Even now you didn't have the "idea" to apologize.
>>>>>>>
>>>>>>>  _You_ should apologize. But I don't care at all what you do. You want to mess
>>>>>>>and you do it. Well, if you enjoy that...
>>>>>>
>>>>>>You should stop to project your character onto others. Period.
>>>>>
>>>>>  _You_ should. Period.
>>>>>
>>>>>>>
>>>>>>>>Instead you created a new
>>>>>>>>insult against me. I should be responsible for the mess you brought yourself
>>>>>>>>into. That is telling! Very telling.
>>>>>>>>
>>>>>>>>Rolf Tueschen
>>>>>>>
>>>>>>>  You keep on looking at the mirror, instead of looking at me. Your words tell
>>>>>>>about yourself. I find it funny.
>>>>>>
>>>>>>This is the proof. Your confession that you find it funny, you enjoy it.
>>>>>
>>>>>  Yes, I confess I enjoy seeing yourself talking to the mirror.
>>>>>
>>>>>>You enjoy a mess.
>>>>>
>>>>>  No I don't. I've been posting here for some years. People know I don't. Nobody
>>>>>believes your lies.
>>>>>
>>>>>>_Your_ mess.
>>>>>
>>>>>  Again talking to the mirror.
>>>>>
>>>>>>All what I did was the reporting and the warning that
>>>>>>you should stop it and apologize to Uri. Now you are confused about yourself.
>>>>>>Again, that could be healed by your apology. To Uri, not me of course. I'm just
>>>>>>the observer, you cannot insult me at all.
>>>>>
>>>>>  Again talking to the mirror.
>>>>>
>>>>>>For the readers I repeat what you did wrong.
>>>>>
>>>>>  First you defend Uri (implying he can't himself), now you care for the
>>>>>readers. Man, you must be a saint.
>>>>>
>>>>>>You attacked Uri by telling him
>>>>>>that he were no programmer
>>>>>
>>>>>  Stop this fantasy, please. I know Uri wrote Movei, which is quickly improving.
>>>>>Why do you think Uri is no programmer?
>>>>>
>>>>>>and he still dared to differ from Ed, who were a
>>>>>>programmer indeed, with opinions.
>>>>>
>>>>>  I repeat I'm not so patient as Dann to explain this again to you. Read
>>>>>previous post for an explanation or keep showing your unability to understand it
>>>>>again and again.
>>>>>
>>>>>>This attack is indecent and should not
>>>>>>be done here in CCC.
>>>>>
>>>>>  Good! Now you give me lessons how to behave in a forum! I'm so interested.
>>>>>I'll search rgcc archives for more lessons.
>>>>>
>>>>>>Rolf Tueschen
>>>>>
>>>>>  José C.
>>>>
>>>>Here is what Uri wrote to you:
>>>>
>>>>"You did not insult me for lack of intelligence but you said that you find it
>>>>strange that I disagree with Ed when Ed has a lot of experience about chess
>>>>programming and I am new in the task of chess programming."
>>>
>>>  Nothing to add to what Uri said. It's crystal clear.
>>>
>>>>Again, bringing forward such arguments is indecent.
>>>
>>>  Really? Your above statement says: experiece doesn't count at all and it is
>>>indecent to make conclusions out of it. People can draw their own conclusions
>>>about your seriousness.
>>>
>>>>Saying one is programmer and
>>>>a very experienced one and the other not so experienced or beginner and so on.
>>>
>>>  So what? I'm a begginer to chess programming also. The programs I write in my
>>>work have nothing to do with chess, so I only have Averno as a hobby. So what
>>>now? Do you think I'm insulting myself? Are you gonna defend me from me? :)
>>>
>>>>And you did the same with me in older discussion about SSDF and Elo and also
>>>>now.
>>>
>>>  Again. Don't feel insulted because Dann had to explain you how Elo system
>>>works.
>>>
>>>>The truth is that statistics and things like that have nothing to do with
>>>>computerchess programming qualities.
>>>
>>>  That's a good proof of how much do you know about computerchess and
>>>statistics. Well, maybe Dann didn't explain it so well after all.
>>>
>>>>This is not my own opinion, it's a simple truth.
>>>
>>>  Oh, yes. You don't have opinions, you have simple truths.
>>>
>>>>Good idea to search rgcc. In special read my messages from August 2001 on.
>>>>All the old stuff from 1996 to 1998 is expressed by a virtually 22 y.
>>>>old young man, what many people misunderstood.
>>>
>>>  :)
>>>  "I'm not wrong. People don't understand me". Good argument.
>>>
>>>>Please read also my Mosaik on
>>>>Schachcomputerwelt, in German unfortunately. The address is
>>>>http://members.aol.com/mclanecxantia/myhomepage/rolfsmosaik.html
>>>
>>>  Sorry, I don't speak german (lack of knowledge?).
>>>
>>>>You may have the final word. Because you are a chessprogrammer. ;)
>>>
>>>  No, please, don't leave me with the final word. Continue stating your simple
>>>truths.
>>>
>>>>Rolf Tueschen
>>>
>>>  José C.
>>
>>Since I diagnosed that logic is not the biggest talent of my opponent in the
>>game above and that I saw that he's a real programmer, I ask this to all, what
>>do you think of what is the exact definition of being a computerchess
>>programmer, how big is the synergy effect of computerchess programming on
>>general thinking processes and how large the part of own code should be that
>>we start to speak of a computerchess programmer.
>>
>>Note please that this is a question to all, not primarily to my opponent above,
>>who is very susceptible to magic thinking. For example real experts could
>>perhaps explain how important the imagination is above straight perception for
>>programmers. Are there certain parts in programming where you qua defining have
>>the power to establish reality against different realities of other collegues?
>>Is it possible to establish even different forms of logic?
>>
>>Rolf Tueschen
>
>  I won't answer your lies, since everybody can read above and see that, for
>example, "magic thinking" is not something I'm susceptible to, but something you
>invented for me.
>  Anyway thanks for your lessons on what a beeing a good programmer means.
>
>  José C.

Magic thinking is a polite paraphrasing! Perhaps you get it now ->

Look at this: you insulted Uri for having less experience in chess programming
(!) than Ed, but Uri was talking about something where the experience of
_programming_ was no point at all, therefore you attacked _me_ (!), insulting me
that Dann had to explain to me something in hundreds (!!) of posts. However the
truth was that Dann was one of very few who _supported_ my critic of SSDF,
therefore a fact _you_ were angry about me ... who had written in R.G.C.C. (!!)
-

So backwards, it's because I have written in R.G.C.C. you have the right to
insult Uri for having less experience than Ed in computerchess programming? :-))

My question was if such looped *"magic"* thinking were favorable for chess
programming.

Rolf Tueschen





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