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Subject: Re: Detailed analysis of 6-men frequencies.

Author: Joachim Rang

Date: 11:15:40 01/10/06

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On January 10, 2006 at 10:50:28, Peter Kasinski wrote:

>I have completed an exhaustive search for all 6-man positions reached in two
>large databases.  Sources:
>
>- Big Database 2006 with updates until Jan ’06 for 3,216,177 games.
>- SSDF database (Big and New) for 22,949 games.
>
>I have found these sources to be generally consistent in determining the most
>frequently occurring 6-man positions:
>
>a) Top three tablebases are the same (with no. 1 and 2 switching places).
>b) Of the 30 most frequently occurring 6-man positions, 29 are the same in both
>sources.
>
>That said, there are some key differences.  In human games 6-man positions were
>found in only 198,884, or just 6.18 % of games.  In contrast, comp-comp games
>reached 6-man positions in 9,926 of 22,949, representing 43.25% of all games.
>
>Another difference is in the more even distribution of 6-man positions in
>comp-comp games.  To illustrate: one would need only 42 TBs files to cover over
>90% of cases occurring in human games.  To reach the same 90% mark in comp-comp
>games one would need a set of 83 tablebases.
>
>Top 50 TBs from human games:
>
> 1 	krppkr		27,902 14.029%
> 2 	krpkrp		25,779 12.962%
> 3 	kppkpp		19,150  9.629%
> 4 	kpppkp		 8,474 	4.261%
> 5 	kbpkpp		 7,043 	3.541%
> 6 	krpkpp		 6,966 	3.503%
> 7 	knpkpp		 6,487 	3.262%
> 8 	kbpknp		 5,389 	2.710%
> 9 	krpkbp		 4,648 	2.337%
> 10 	kqpkpp		 4,630 	2.328%
> 11 	kbppkb		 3,680 	1.850%
> 12 	krppkp		 3,529 	1.774%
> 13 	knppkn		 3,528 	1.774%
> 14 	kbppkp		 3,499 	1.759%
> 15 	knppkp		 3,098 	1.558%
> 16 	krpknp		 3,095 	1.556%
> 17 	knppkb		 3,083 	1.550%
> 18 	knpknp		 2,910 	1.463%
> 19 	kqpkqp		 2,823 	1.419%
> 20 	kbpkbp		 2,525 	1.270%
> 21 	kbppkn		 2,514 	1.264%
> 22 	kqppkq		 2,302 	1.157%
> 23 	kqppkp		 2,240 	1.126%
> 24 	krbpkr		 2,181 	1.097%
> 25 	kpppkr		 2,168 	1.090%
> 26 	krbkrp		 2,017 	1.014%
> 27 	kqpkrp		 1,909 	0.960%
> 28 	krnpkr		 1,875 	0.943%
> 29 	kbppkr		 1,644 	0.827%
> 30 	krnkrp		 1,555 	0.782%
> 31 	kqrkrp		 1,521 	0.765%
> 32 	kpppkn		 1,243 	0.625%
> 33 	knppkr		 1,208 	0.607%
> 34 	kpppkb		 1,124 	0.565%
> 35 	kpppkq		 1,027 	0.516%
> 36 	krppkb		 805 	0.405%
> 37 	krppkq		 789 	0.397%
> 38 	krpppk		 719 	0.362%
> 39 	kqrpkr		 670 	0.337%
> 40 	krppkn		 651 	0.327%
> 41 	kqpknp		 549 	0.276%
> 42 	kqpkbp		 531 	0.267%
> 43 	kbnpkr		 494 	0.248%
> 44 	kqpppk		 479 	0.241%
> 45 	kppppk		 456 	0.229%
> 46 	kbnpkb		 424 	0.213%
> 47 	kbpppk		 416 	0.209%
> 48 	krrkrp		 400 	0.201%
> 49 	kqbpkp		 396 	0.199%
> 50 	kqrpkp		 381 	0.192%
>
>...and top 50 from comp-comp games:
>
> 1 	krpkrp		 1,148 	11.566%
> 2 	krppkr		 690 	6.951%
> 3 	kppkpp		 460 	4.634%
> 4 	kbpknp		 299 	3.012%
> 5 	kbpkpp		 289 	2.912%
> 6 	krpkpp		 276 	2.781%
> 7 	kqppkp		 265 	2.670%
> 8 	kpppkp		 252 	2.539%
> 9 	kbpkbp		 238 	2.398%
> 10 	krbkrp		 219 	2.206%
> 11 	knpkpp		 207 	2.085%
> 12 	krppkp		 199 	2.005%
> 13 	krpkbp		 199 	2.005%
> 14 	kbppkp		 189 	1.904%
> 15 	kqpkqp		 186 	1.874%
> 16 	kqpkpp		 186 	1.874%
> 17 	krnkrp		 178 	1.793%
> 18 	knpknp		 156 	1.572%
> 19 	krbpkr		 132 	1.330%
> 20 	knppkp		 131 	1.320%
> 21 	krpknp		 120 	1.209%
> 22 	kbppkb		 116 	1.169%
> 23 	kqpkrp		 108 	1.088%
> 24 	krnpkr		 106 	1.068%
> 25 	knppkb		 103 	1.038%
> 26 	kpppkr		 100 	1.007%
> 27 	kqrpkr		 96 	0.967%
> 28 	kqppkq		 91 	0.917%
> 29 	kbppkr		 91 	0.917%
> 30 	knppkn		 84 	0.846%
> 31 	kqrkrp		 84 	0.846%
> 32 	kbppkn		 83 	0.836%
> 33 	kqbpkp		 80 	0.806%
> 34 	kqrpkp		 79 	0.796%
> 35 	krppkb		 77 	0.776%
> 36 	kqqpkp		 70 	0.705%
> 37 	kqpkbp		 65 	0.655%
> 38 	krbpkp		 59 	0.594%
> 39 	kqppkr		 58 	0.584%
> 40 	knppkr		 58 	0.584%
> 41 	krbkrn		 56 	0.564%
> 42 	krppkn		 55 	0.554%
> 43 	krppkq		 53 	0.534%
> 44 	kpppkn		 47 	0.474%
> 45 	kpppkb		 45 	0.453%
> 46 	kqqppk		 44 	0.443%
> 47 	krrkrp		 44 	0.443%
> 48 	kqbppk		 43 	0.433%
> 49 	kqpppk		 43 	0.433%
> 50 	kqnpkp		 42 	0.423%
>
>For those interested in seeing all results, I have posted them in the new CCRL
>Discussion Board Forum organized by Kirill Kryukov.  For those looking to share
>Tablebases online this is a great new place to visit.
>
>Cheers,
>PK


Hi Peter,

an interesting analysis thanks! I wonder if there are more games from SSDF
available. 22.000 seems very little out of 1 million total played. I'm really
stunned that more than 40% of the games in SSDF reached 6-men or fewer. That
means almost every second game. I would be curious how your statistic would look
like for the Comp2005 from Walter Eigenmann. The Comp2005 contains 350.000
computer games only since 2000 and only for longer time controls. If you like
you can have a look:

http://www.beepworld.de/members38/eigenmann/comp2005.htm

regards Joachim



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