Long post: Frequency of the different TB-endgames in games

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Moderator: Andres Valverde

Long post: Frequency of the different TB-endgames in games

Postby Anonymous » 19 Dec 2005, 19:36

I decided to open a new thread because of the long post, so that people interested in TB-sharing but not in this, can easily skip it, and the other thread stay more readable.

For Dann Corbit's "crapbase" of Oct. 2005 (at least this is the date on my disk), I get the statistics further down. It might be preferable, to use a commercial database (which I don't have). I showed the method in the other thread.

The code to calculate this, was more or less a one time shot, and not debugged/confirmed for correctness at all. Perhaps somebody with a chess database can check one datapoint or the other. AFAIK, the known databases cannot give a whole list.

Of course, each material constellation was only counted once, for any game.

Regards,
Dieter

Code: Select all
TB: no of games (relative occurence in 3505657 games)

KRPKR:  46033 (1.31311%)
KRPKRP: 42006 (1.19823%)
KRPPKR: 37666 (1.07443%)
KPPKP:  33519 (0.95614%)
KPK:    26949 (0.76873%)
KPPKPP: 24837 (0.70848%)
KPKP:   19657 (0.56072%)
KQK:    19018 (0.54249%)
KRK:    17259 (0.49232%)
KRKP:   15806 (0.45087%)
KRKR:   14746 (0.42063%)
KPPPKP: 13953 (0.39801%)
KPPK:   13359 (0.38107%)
KRPKPP: 12889 (0.36766%)
KRPKP:  12454 (0.35525%)
KBPKP:  12178 (0.34738%)
KBPKPP: 11870 (0.33860%)
KK:     11790 (0.33631%)
KQPK:   11486 (0.32764%)
KQPKP:  10120 (0.28868%)
KBPKNP: 10085 (0.28768%)
KQKP:   10020 (0.28582%)
KPPKR:   9899 (0.28237%)
KRPPKP:  9820 (0.28012%)
KNPKPP:  9502 (0.27105%)
KRPK:    9498 (0.27093%)
KNPKP:   9009 (0.25698%)
KQPPKP:  8665 (0.24717%)
KRPKBP:  8658 (0.24697%)
KBPK:    8434 (0.24058%)
KBPPKP:  8205 (0.23405%)
KQPKPP:  8018 (0.22872%)
KBKP:    6440 (0.18370%)
KBPKBP:  6253 (0.17837%)
KQPKQ:   6230 (0.17771%)
KQPPK:   5962 (0.17007%)
KNKP:    5946 (0.16961%)
KNPPKP:  5892 (0.16807%)
KRPKNP:  5792 (0.16522%)
KNPK:    5602 (0.15980%)
KRBKRP:  5569 (0.15886%)
KBPPKB:  5551 (0.15834%)
KQPKQP:  5459 (0.15572%)
KBPKB:   5305 (0.15133%)
KRBPKR:  5273 (0.15041%)
KPPKQ:   5254 (0.14987%)
KRPPK:   5207 (0.14853%)
KNPKB:   4813 (0.13729%)
KNPKNP:  4791 (0.13666%)
KQBK:    4775 (0.13621%)
KQRKR:   4685 (0.13364%)
KBK:     4656 (0.13281%)
KQQK:    4631 (0.13210%)
KRNKRP:  4628 (0.13202%)
KQKR:    4614 (0.13162%)
KPPKN:   4564 (0.13019%)
KRPKB:   4549 (0.12976%)
KNPKN:   4524 (0.12905%)
KRBKR:   4489 (0.12805%)
KQRK:    4420 (0.12608%)
KNPPKN:  4337 (0.12371%)
KNPPKB:  4274 (0.12192%)
KBPKR:   4266 (0.12169%)
KPPKB:   4217 (0.12029%)
KNK:     4179 (0.11921%)
KQPKRP:  4159 (0.11864%)
KRNPKR:  4053 (0.11561%)
KPPPK:   3937 (0.11230%)
KPPPKR:  3894 (0.11108%)
KRKB:    3860 (0.11011%)
KQPPKQ:  3810 (0.10868%)
KBPPKN:  3778 (0.10777%)
KRNKR:   3772 (0.10760%)
KBPKN:   3744 (0.10680%)
KBPPKR:  3620 (0.10326%)
KRKN:    3554 (0.10138%)
KQRPK:   3550 (0.10126%)
KNPKR:   3324 (0.09482%)
KRPKN:   3323 (0.09479%)
KBPPK:   3269 (0.09325%)
KQKQ:    3142 (0.08963%)
KQRKRP:  3102 (0.08849%)
KQPKR:   3099 (0.08840%)
KQRPKR:  3088 (0.08809%)
KRPKQ:   3086 (0.08803%)
KQNK:    2997 (0.08549%)
KRPPKB:  2778 (0.07924%)
KQBPK:   2766 (0.07890%)
KQQPK:   2734 (0.07799%)
KQBPKP:  2660 (0.07588%)
KNPPKR:  2652 (0.07565%)
KQRPKP:  2581 (0.07362%)
KNPPK:   2311 (0.06592%)
KPPPKN:  2101 (0.05993%)
KRPPKN:  2050 (0.05848%)
KPPPKB:  1975 (0.05634%)
KRPPKQ:  1965 (0.05605%)
KBKN:    1948 (0.05557%)
KQKN:    1909 (0.05445%)
KRBK:    1874 (0.05346%)
KRBPKP:  1849 (0.05274%)
KQQPKP:  1836 (0.05237%)
KQRKP:   1780 (0.05078%)
KQPKBP:  1765 (0.05035%)
KPPPKQ:  1762 (0.05026%)
KRBPK:   1751 (0.04995%)
KQNPK:   1700 (0.04849%)
KQPPKR:  1696 (0.04838%)
KQBKP:   1599 (0.04561%)
KQPKNP:  1582 (0.04513%)
KQKB:    1546 (0.04410%)
KRRKRP:  1436 (0.04096%)
KQNPKP:  1411 (0.04025%)
KRRPKR:  1355 (0.03865%)
KRBKRN:  1341 (0.03825%)
KNPKQ:   1276 (0.03640%)
KBPKQ:   1266 (0.03611%)
KRPKBN:  1258 (0.03588%)
KNKN:    1252 (0.03571%)
KQQKP:   1237 (0.03529%)
KRNK:    1220 (0.03480%)
KQPKN:   1174 (0.03349%)
KRBKP:   1173 (0.03346%)
KBNK:    1165 (0.03323%)
KRNPKP:  1116 (0.03183%)
KQPKB:   1115 (0.03181%)
KQRKPP:  1101 (0.03141%)
KBNPKR:  1062 (0.03029%)
KBKB:    1031 (0.02941%)
KRNPK:   1017 (0.02901%)
KQNKP:    963 (0.02747%)
KRRKR:    940 (0.02681%)
KRBKPP:   910 (0.02596%)
KRBKBP:   905 (0.02582%)
KBNKP:    894 (0.02550%)
KBNPKP:   839 (0.02393%)
KRNKP:    819 (0.02336%)
KQBKPP:   809 (0.02308%)
KRBPKB:   782 (0.02231%)
KQRBK:    781 (0.02228%)
KBPPKQ:   764 (0.02179%)
KNPPKQ:   735 (0.02097%)
KBNKR:    723 (0.02062%)
KQBKQP:   722 (0.02060%)
KRBKRB:   712 (0.02031%)
KQPPKB:   702 (0.02002%)
KRNKPP:   700 (0.01997%)
KBNPKB:   693 (0.01977%)
KQNKQP:   682 (0.01945%)
KQBPKB:   677 (0.01931%)
KRBPKQ:   662 (0.01888%)
KQPPKN:   653 (0.01863%)
KQPKRR:   650 (0.01854%)
KRBKNP:   633 (0.01806%)
KBNPK:    622 (0.01774%)
KBNKPP:   608 (0.01734%)
KRBKB:    604 (0.01723%)
KRNKBP:   593 (0.01692%)
KQNKQ:    590 (0.01683%)
KQNKPP:   584 (0.01666%)
KQPKRB:   576 (0.01643%)
KBNKBP:   572 (0.01632%)
KQQBK:    564 (0.01609%)
KQRKB:    550 (0.01569%)
KRNKRN:   549 (0.01566%)
KQQKPP:   548 (0.01563%)
KRNKNP:   539 (0.01538%)
KRNPKQ:   526 (0.01500%)
KQBKQ:    514 (0.01466%)
KQBPKQ:   512 (0.01460%)
KQBPKR:   510 (0.01455%)
KQRNK:    506 (0.01443%)
KRBPKN:   500 (0.01426%)
KQRKQP:   500 (0.01426%)
KQQKQ:    495 (0.01412%)
KRRPKP:   489 (0.01395%)
KQBKRP:   489 (0.01395%)
KQNPKB:   489 (0.01395%)
KRRPK:    468 (0.01335%)
KRRK:     463 (0.01321%)
KBNKNP:   451 (0.01286%)
KQPKRN:   451 (0.01286%)
KQNPKQ:   448 (0.01278%)
KRBKN:    445 (0.01269%)
KRNPKB:   444 (0.01267%)
KQRPKB:   438 (0.01249%)
KQBPKN:   436 (0.01244%)
KRBKQ:    430 (0.01227%)
KQRBKR:   424 (0.01209%)
KBNKB:    419 (0.01195%)
KBBPKP:   409 (0.01167%)
KNNKP:    406 (0.01158%)
KBBK:     406 (0.01158%)
KBNPKN:   403 (0.01150%)
KQBKR:    400 (0.01141%)
KQRKQ:    397 (0.01132%)
KRRPKQ:   393 (0.01121%)
KRNKB:    385 (0.01098%)
KQBKB:    379 (0.01081%)
KBBPKB:   379 (0.01081%)
KQNPKR:   371 (0.01058%)
KBNKN:    368 (0.01050%)
KQRPKQ:   367 (0.01047%)
KQQNK:    365 (0.01041%)
KQRKBP:   362 (0.01033%)
KRNKN:    360 (0.01027%)
KQBKBP:   360 (0.01027%)
KRRKRB:   359 (0.01024%)
KRNPKN:   359 (0.01024%)
KRPKBB:   358 (0.01021%)
KBBPKR:   357 (0.01018%)
KQRNKR:   357 (0.01018%)
KQRBKP:   353 (0.01007%)
KRNKQ:    349 (0.00996%)
KRRKQ:    345 (0.00984%)
KBBKBP:   344 (0.00981%)
KQBNK:    339 (0.00967%)
KQRKN:    336 (0.00958%)
KBBKP:    319 (0.00910%)
KQNKR:    308 (0.00879%)
KQNPKN:   308 (0.00879%)
KQNKRP:   304 (0.00867%)
KQQKQP:   302 (0.00861%)
KBBPK:    296 (0.00844%)
KQQPKQ:   293 (0.00836%)
KRRKRR:   293 (0.00836%)
KQNKB:    292 (0.00833%)
KRPKNN:   292 (0.00833%)
KRRKP:    290 (0.00827%)
KRRKPP:   290 (0.00827%)
KQNKBP:   287 (0.00819%)
KQBKNP:   285 (0.00813%)
KQBKN:    281 (0.00802%)
KQRPKN:   273 (0.00779%)
KRRKRN:   256 (0.00730%)
KQRKRB:   256 (0.00730%)
KQQKR:    254 (0.00725%)
KQQRK:    246 (0.00702%)
KBBKPP:   244 (0.00696%)
KQNKN:    242 (0.00690%)
KNNKPP:   242 (0.00690%)
KQRKRN:   242 (0.00690%)
KQRKNP:   237 (0.00676%)
KBBKB:    237 (0.00676%)
KQNKNP:   236 (0.00673%)
KBBKR:    229 (0.00653%)
KNNPKP:   220 (0.00628%)
KQQBKP:   218 (0.00622%)
KNNK:     214 (0.00610%)
KBNKQ:    195 (0.00556%)
KQQKN:    194 (0.00553%)
KQRNKP:   190 (0.00542%)
KBBKNP:   187 (0.00533%)
KNNKNP:   186 (0.00531%)
KQQPKR:   185 (0.00528%)
KQQKRP:   184 (0.00525%)
KQBBK:    180 (0.00513%)
KNNPKR:   180 (0.00513%)
KNNKR:    177 (0.00505%)
KBBKN:    170 (0.00485%)
KRBKBN:   166 (0.00474%)
KQPKBN:   166 (0.00474%)
KRBNKR:   163 (0.00465%)
KQRKQR:   155 (0.00442%)
KBNPKQ:   154 (0.00439%)
KBBPKN:   154 (0.00439%)
KRRKBP:   151 (0.00431%)
KNNPKN:   149 (0.00425%)
KBBKBN:   146 (0.00416%)
KQBKQN:   141 (0.00402%)
KNNPK:    139 (0.00397%)
KQQKB:    137 (0.00391%)
KNNPKB:   137 (0.00391%)
KRRKNP:   135 (0.00385%)
KQBNKP:   133 (0.00379%)
KQQPKN:   131 (0.00374%)
KQRRK:    118 (0.00337%)
KRRPKB:   116 (0.00331%)
KQQNKP:   114 (0.00325%)
KQQPKB:   113 (0.00322%)
KBPKNN:   111 (0.00317%)
KRRPKN:   109 (0.00311%)
KQBNKR:   103 (0.00294%)
KNNKN:    103 (0.00294%)
KQRRKR:   101 (0.00288%)
KQQRKP:    95 (0.00271%)
KRNKBN:    94 (0.00268%)
KQQRKR:    93 (0.00265%)
KRBNKQ:    91 (0.00260%)
KQRBKB:    85 (0.00242%)
KQBKRB:    84 (0.00240%)
KRBNKP:    83 (0.00237%)
KQQKBP:    82 (0.00234%)
KRBNK:     82 (0.00234%)
KQBNKB:    81 (0.00231%)
KRRKN:     78 (0.00222%)
KQQKNP:    77 (0.00220%)
KQRKQB:    77 (0.00220%)
KNNKQ:     76 (0.00217%)
KRRKB:     71 (0.00203%)
KQBBKP:    69 (0.00197%)
KQRKQN:    68 (0.00194%)
KBBPKQ:    66 (0.00188%)
KRBKBB:    65 (0.00185%)
KQNNK:     64 (0.00183%)
KBNKBN:    63 (0.00180%)
KQNKRB:    63 (0.00180%)
KQRRKP:    61 (0.00174%)
KBBKQ:     61 (0.00174%)
KQPKNN:    57 (0.00163%)
KQRKBN:    57 (0.00163%)
KQPKBB:    56 (0.00160%)
KRRBKR:    56 (0.00160%)
KNNKB:     55 (0.00157%)
KQRNKQ:    55 (0.00157%)
KQQBKB:    55 (0.00157%)
KQNKQN:    54 (0.00154%)
KRNNKR:    53 (0.00151%)
KQBKQB:    52 (0.00148%)
KQQKRB:    51 (0.00145%)
KQBBKR:    48 (0.00137%)
KQRKRR:    48 (0.00137%)
KRRBKP:    45 (0.00128%)
KQRBKN:    44 (0.00126%)
KRRNK:     44 (0.00126%)
KQQKRR:    43 (0.00123%)
KQNKRN:    43 (0.00123%)
KQBKRN:    43 (0.00123%)
KQRNKB:    42 (0.00120%)
KRNKBB:    41 (0.00117%)
KNNPKQ:    41 (0.00117%)
KQQQK:     40 (0.00114%)
KQRBKQ:    40 (0.00114%)
KRRBK:     40 (0.00114%)
KRRNKR:    40 (0.00114%)
KQQBKN:    39 (0.00111%)
KQQKQB:    38 (0.00108%)
KBNKNN:    37 (0.00106%)
KQNKBN:    35 (0.00100%)
KRRBKQ:    34 (0.00097%)
KQBBKB:    34 (0.00097%)
KRRNKQ:    34 (0.00097%)
KRBBKR:    33 (0.00094%)
KQBNKN:    33 (0.00094%)
KQQNKB:    33 (0.00094%)
KQQKQN:    31 (0.00088%)
KRBKNN:    30 (0.00086%)
KQQBKQ:    30 (0.00086%)
KQQKRN:    30 (0.00086%)
KQQNKN:    29 (0.00083%)
KBBNKR:    29 (0.00083%)
KRRNKP:    28 (0.00080%)
KQBNKQ:    28 (0.00080%)
KRRKBN:    27 (0.00077%)
KQRKBB:    27 (0.00077%)
KRNKNN:    26 (0.00074%)
KQQKQR:    26 (0.00074%)
KQQBKR:    25 (0.00071%)
KQQNKQ:    25 (0.00071%)
KQRNKN:    24 (0.00068%)
KBBNK:     24 (0.00068%)
KRBBKP:    23 (0.00066%)
KQNNKP:    23 (0.00066%)
KRBBK:     22 (0.00063%)
KQBKRR:    22 (0.00063%)
KQNKRR:    22 (0.00063%)
KRNNKQ:    21 (0.00060%)
KQQRKB:    21 (0.00060%)
KQRRKQ:    21 (0.00060%)
KBBKNN:    20 (0.00057%)
KRBNKB:    20 (0.00057%)
KQQKQQ:    20 (0.00057%)
KQBBKN:    19 (0.00054%)
KRBNKN:    19 (0.00054%)
KQQNKR:    19 (0.00054%)
KBNNKR:    18 (0.00051%)
KRBBKQ:    18 (0.00051%)
KRNNK:     18 (0.00051%)
KQBKBN:    17 (0.00048%)
KBBKBB:    16 (0.00046%)
KRNNKP:    16 (0.00046%)
KQNKNN:    15 (0.00043%)
KBBNKB:    14 (0.00040%)
KQBKBB:    14 (0.00040%)
KQNNKR:    13 (0.00037%)
KQNNKN:    13 (0.00037%)
KQRKNN:    13 (0.00037%)
KBBNKP:    12 (0.00034%)
KQQRKN:    12 (0.00034%)
KBNNK:     12 (0.00034%)
KQNKBB:    11 (0.00031%)
KNNKNN:    11 (0.00031%)
KQQQKP:    11 (0.00031%)
KBNNKB:    11 (0.00031%)
KQQKBN:    11 (0.00031%)
KRRKNN:    10 (0.00029%)
KQRRKB:     9 (0.00026%)
KQBBKQ:     8 (0.00023%)
KQNNKQ:     8 (0.00023%)
KRBBKN:     8 (0.00023%)
KRRKBB:     8 (0.00023%)
KRBBKB:     7 (0.00020%)
KQNNKB:     7 (0.00020%)
KBBNKQ:     7 (0.00020%)
KRRBKB:     7 (0.00020%)
KBNNKP:     7 (0.00020%)
KRRRKR:     6 (0.00017%)
KRRNKN:     6 (0.00017%)
KRRRK:      6 (0.00017%)
KBBNKN:     6 (0.00017%)
KQRRKN:     6 (0.00017%)
KRNNKN:     6 (0.00017%)
KQBKNN:     6 (0.00017%)
KQQRKQ:     6 (0.00017%)
KBNNKQ:     6 (0.00017%)
KRRBKN:     5 (0.00014%)
KBNNKN:     5 (0.00014%)
KQQKNN:     4 (0.00011%)
KRNNKB:     4 (0.00011%)
KQQKBB:     4 (0.00011%)
KRRNKB:     2 (0.00006%)
KQQQKQ:     2 (0.00006%)
KQQQKB:     2 (0.00006%)
KNNNK:      2 (0.00006%)
KNNNKQ:     1 (0.00003%)
KRRRKB:     1 (0.00003%)
KRRRKN:     1 (0.00003%)
KRRRKP:     1 (0.00003%)
KQQQKN:     1 (0.00003%)
KBBBKB:     1 (0.00003%)
KNNNKN:     1 (0.00003%)
KBBBK:      1 (0.00003%)
KNNNKR:     0 (0.00000%)
KNNNKB:     0 (0.00000%)
KBBBKN:     0 (0.00000%)
KNNNKP:     0 (0.00000%)
KBBBKQ:     0 (0.00000%)
KBBBKP:     0 (0.00000%)
KRRRKQ:     0 (0.00000%)
KQQQKR:     0 (0.00000%)
KBBBKR:     0 (0.00000%)

Summary for 3505657 games
   1-1 :   11790 (0.33631%)
2  pieces:   11790 (0.33631%)
   2-1 :   61496 (1.75419%)
3  pieces:   61496 (1.75419%)
   2-2 :   83583 (2.38423%)
   3-1 :   51948 (1.48183%)
4  pieces:  135531 (3.86607%)
   3-2 :  206714 (5.89658%)
   4-1 :   27939 (0.79697%)
5  pieces:  234653 (6.69355%)
   3-3 :  179984 (5.13410%)
   4-2 :  157138 (4.48241%)
   5-1 :   14997 (0.42779%)
6  pieces:  352119 (10.04431%)
   4-3 :  396530 (11.31115%)
   5-2 :   78719 (2.24548%)
   6-1 :    7458 (0.21274%)
7  pieces:  482707 (13.76937%)
   4-4 :  313900 (8.95410%)
   5-3 :  270089 (7.70438%)
   6-2 :   34324 (0.97910%)
   7-1 :    3420 (0.09756%)
8  pieces:  621733 (17.73513%)
   5-4 :  623123 (17.77479%)
   6-3 :  125705 (3.58578%)
   7-2 :   14237 (0.40612%)
   8-1 :    1311 (0.03740%)
9  pieces:  764376 (21.80407%)
   5-5 :  474357 (13.53119%)
   6-4 :  390033 (11.12582%)
   7-3 :   49278 (1.40567%)
   8-2 :    5440 (0.15518%)
   9-1 :     487 (0.01389%)
10 pieces:  919595 (26.23174%)
   6-5 :  888129 (25.33417%)
   7-4 :  167535 (4.77899%)
   8-3 :   17887 (0.51023%)
   9-2 :    1892 (0.05397%)
  10-1 :     169 (0.00482%)
11 pieces: 1075612 (30.68218%)
   6-6 :  672258 (19.17638%)
   7-5 :  513980 (14.66145%)
   8-4 :   58771 (1.67646%)
   9-3 :    5944 (0.16955%)
  10-2 :     630 (0.01797%)
  11-1 :      60 (0.00171%)
12 pieces: 1251643 (35.70352%)
   7-6 : 1202785 (34.30983%)
   8-5 :  202273 (5.76990%)
   9-4 :   18573 (0.52980%)
  10-3 :    1854 (0.05289%)
  11-2 :     229 (0.00653%)
  12-1 :      23 (0.00066%)
13 pieces: 1425737 (40.66961%)
   7-7 :  920610 (26.26070%)
   8-6 :  635132 (18.11735%)
   9-5 :   62797 (1.79130%)
  10-4 :    5473 (0.15612%)
  11-3 :     657 (0.01874%)
  12-2 :      79 (0.00225%)
  13-1 :      13 (0.00037%)
14 pieces: 1624761 (46.34683%)
   8-7 : 1569417 (44.76813%)
   9-6 :  222369 (6.34315%)
  10-5 :   17113 (0.48815%)
  11-4 :    1749 (0.04989%)
  12-3 :     218 (0.00622%)
  13-2 :      27 (0.00077%)
  14-1 :       4 (0.00011%)
15 pieces: 1810897 (51.65642%)
   8-8 : 1222514 (34.87261%)
   9-7 :  731917 (20.87817%)
  10-6 :   58963 (1.68194%)
  11-5 :    4672 (0.13327%)
  12-4 :     534 (0.01523%)
  13-3 :      75 (0.00214%)
  14-2 :      12 (0.00034%)
16 pieces: 2018687 (57.58370%)
   9-8 : 1961996 (55.96657%)
  10-7 :  221157 (6.30857%)
  11-6 :   14000 (0.39935%)
  12-5 :    1320 (0.03765%)
  13-4 :     169 (0.00482%)
  14-3 :      20 (0.00057%)
  15-2 :       4 (0.00011%)
  16-1 :       2 (0.00006%)
17 pieces: 2198668 (62.71772%)
   9-9 : 1556895 (44.41093%)
  10-8 :  781467 (22.29160%)
  11-7 :   49411 (1.40946%)
  12-6 :    3557 (0.10146%)
  13-5 :     364 (0.01038%)
  14-4 :      50 (0.00143%)
  15-3 :       5 (0.00014%)
  16-2 :       3 (0.00009%)
18 pieces: 2391752 (68.22550%)
  10-9 : 2337471 (66.67712%)
  11-8 :  196294 (5.59935%)
  12-7 :   10289 (0.29350%)
  13-6 :     880 (0.02510%)
  14-5 :      90 (0.00257%)
  15-4 :      11 (0.00031%)
  16-3 :       3 (0.00009%)
19 pieces: 2545038 (72.59803%)
  10-10: 1903328 (54.29305%)
  11-9 :  767563 (21.89498%)
  12-8 :   36645 (1.04531%)
  13-7 :    2305 (0.06575%)
  14-6 :     219 (0.00625%)
  15-5 :      29 (0.00083%)
  16-4 :       4 (0.00011%)
20 pieces: 2710093 (77.30628%)
  11-10: 2667458 (76.09010%)
  12-9 :  154363 (4.40325%)
  13-8 :    6624 (0.18895%)
  14-7 :     484 (0.01381%)
  15-6 :      45 (0.00128%)
  16-5 :       8 (0.00023%)
21 pieces: 2828982 (80.69763%)
  11-11: 2250349 (64.19193%)
  12-10:  688523 (19.64034%)
  13-9 :   23410 (0.66778%)
  14-8 :    1208 (0.03446%)
  15-7 :      91 (0.00260%)
  16-6 :      12 (0.00034%)
22 pieces: 2963593 (84.53745%)
  12-11: 2939748 (83.85726%)
  13-10:  105884 (3.02038%)
  14-9 :    3457 (0.09861%)
  15-8 :     238 (0.00679%)
  16-7 :      14 (0.00040%)
23 pieces: 3049341 (86.98344%)
  12-12: 2588201 (73.82927%)
  13-11:  556138 (15.86402%)
  14-10:   12699 (0.36224%)
  15-9 :     538 (0.01535%)
  16-8 :      30 (0.00086%)
24 pieces: 3157606 (90.07173%)
  13-12: 3150329 (89.86415%)
  14-11:   61283 (1.74812%)
  15-10:    1458 (0.04159%)
  16-9 :      65 (0.00185%)
25 pieces: 3213135 (91.65572%)
  13-13: 2895348 (82.59074%)
  14-12:  398980 (11.38103%)
  15-11:    5470 (0.15603%)
  16-10:     155 (0.00442%)
26 pieces: 3299953 (94.13223%)
  14-13: 3304023 (94.24832%)
  15-12:   28341 (0.80844%)
  16-11:     372 (0.01061%)
27 pieces: 3332736 (95.06737%)
  14-14: 3147068 (89.77113%)
  15-13:  253581 (7.23348%)
  16-12:    1349 (0.03848%)
28 pieces: 3401998 (97.04309%)
  15-14: 3409665 (97.26180%)
  16-13:    9584 (0.27339%)
29 pieces: 3419249 (97.53518%)
  15-15: 3306438 (94.31721%)
  16-14:  165355 (4.71680%)
30 pieces: 3471793 (99.03402%)
  16-15: 3478566 (99.22722%)
31 pieces: 3478566 (99.22722%)
  16-16: 3505641 (99.99954%)
32 pieces: 3505641 (99.99954%)

number of legal moves
  0:   362969 ( 0.120810%)
  1:  1901144 ( 0.632774%)
  2:  3227039 ( 1.074083%)
  3:  3854679 ( 1.282985%)
  4:  3895138 ( 1.296452%)
  5:  3336736 ( 1.110594%)
  6:  2527280 ( 0.841176%)
  7:  1578942 ( 0.525533%)
  8:  1239264 ( 0.412475%)
  9:  1157109 ( 0.385130%)
 10:  1300595 ( 0.432888%)
 11:  1567137 ( 0.521603%)
 12:  1956493 ( 0.651196%)
 13:  2347169 ( 0.781228%)
 14:  2747363 ( 0.914428%)
 15:  3082120 ( 1.025848%)
 16:  3397649 ( 1.130868%)
 17:  3558553 ( 1.184423%)
 18:  3695055 ( 1.229856%)
 19:  4084960 ( 1.359632%)
 20: 11079764 ( 3.687771%)
 21:  4609116 ( 1.534091%)
 22:  6498866 ( 2.163072%)
 23:  5235286 ( 1.742504%)
 24:  5213817 ( 1.735359%)
 25:  6087465 ( 2.026142%)
 26:  6764006 ( 2.251321%)
 27:  8378343 ( 2.788634%)
 28:  9980915 ( 3.322032%)
 29:  9931608 ( 3.305621%)
 30: 12766369 ( 4.249138%)
 31: 10953417 ( 3.645718%)
 32: 11799492 ( 3.927324%)
 33: 11976241 ( 3.986153%)
 34: 11745485 ( 3.909349%)
 35: 11517842 ( 3.833580%)
 36: 11265806 ( 3.749693%)
 37: 11320813 ( 3.768002%)
 38: 11108824 ( 3.697443%)
 39:  9968670 ( 3.317956%)
 40:  9234100 ( 3.073463%)
 41:  8228753 ( 2.738845%)
 42:  8035540 ( 2.674536%)
 43:  6902513 ( 2.297422%)
 44:  5780526 ( 1.923981%)
 45:  4896690 ( 1.629807%)
 46:  4143691 ( 1.379180%)
 47:  3376168 ( 1.123718%)
 48:  2741597 ( 0.912509%)
 49:  2124692 ( 0.707179%)
 50:  1633024 ( 0.543533%)
 51:  1238356 ( 0.412172%)
 52:   932955 ( 0.310523%)
 53:   672173 ( 0.223725%)
 54:   475931 ( 0.158408%)
 55:   335011 ( 0.111505%)
 56:   229579 ( 0.076413%)
 57:   156671 ( 0.052146%)
 58:   104128 ( 0.034658%)
 59:    67974 ( 0.022624%)
 60:    43594 ( 0.014510%)
 61:    27511 ( 0.009157%)
 62:    17910 ( 0.005961%)
 63:    11101 ( 0.003695%)
 64:     6342 ( 0.002111%)
 65:     3980 ( 0.001325%)
 66:     2281 ( 0.000759%)
 67:     1354 ( 0.000451%)
 68:      853 ( 0.000284%)
 69:      437 ( 0.000145%)
 70:      292 ( 0.000097%)
 71:      215 ( 0.000072%)
 72:      145 ( 0.000048%)
 73:      100 ( 0.000033%)
 74:       62 ( 0.000021%)
 75:       28 ( 0.000009%)
 76:       30 ( 0.000010%)
 77:       22 ( 0.000007%)
 78:       20 ( 0.000007%)
 79:       17 ( 0.000006%)
 80:       24 ( 0.000008%)
 81:       12 ( 0.000004%)
 82:       15 ( 0.000005%)
 83:       12 ( 0.000004%)
 84:       15 ( 0.000005%)
 85:       13 ( 0.000004%)
 86:        9 ( 0.000003%)
 87:        5 ( 0.000002%)
 88:        6 ( 0.000002%)
 89:        7 ( 0.000002%)
 90:       10 ( 0.000003%)
 91:        8 ( 0.000003%)
 92:        5 ( 0.000002%)
 93:        7 ( 0.000002%)
 94:        4 ( 0.000001%)
 95:        2 ( 0.000001%)
 96:        3 ( 0.000001%)
 97:        3 ( 0.000001%)
 98:        6 ( 0.000002%)
 99:        7 ( 0.000002%)
100:        7 ( 0.000002%)

Anonymous
 

Re: Long post: Frequency of the different TB-endgames in gam

Postby Dann Corbit » 19 Dec 2005, 19:48

This is really interesting stuff.

Since you have statistic for number of legal moves, I would also be interested to know what is the highest number of legal moves ever seen in a real game (EGTB or not).

THe program that you use to create the statistics, is it available?
Dann Corbit
 

Re: Long post: Frequency of the different TB-endgames in gam

Postby Anonymous » 19 Dec 2005, 20:14

Dann Corbit wrote:This is really interesting stuff.

Since you have statistic for number of legal moves, I would also be interested to know what is the highest number of legal moves ever seen in a real game (EGTB or not).

THe program that you use to create the statistics, is it available?


Dann, the statistics about the number of legal moves is independent of TBs. For every position in your crapbase, I calculated the number of legal moves. However, it maxes at 100 (only 7 games). No idea, if that were real games, or artifical positions/games (there are some in your database, either setup, or reached by "unusual" play). I suspect, that the high numbers are not from real games. I actually forgot, that this statistics was also in the TB-stat routine. I think, I have another routine, that also outputs the games/positions with really many legal moves.

I used Yace 0.9987 to create the statistics. You should be able to reproduce it easily. It took about 45 minutes for your 3.5 million games on my P4 2.53 (disk speed is not the bottle neck, the call to the legal move generation, which is not really a crucial and well optimized function in Yace, is). Instructions are in the thread about Nalimov 6-men TBs online.

In my post starting this thread, I should have mentioned, that individual statistics for 5 vs. 1 material constellations was not collected.

Regards,
Dieter
Anonymous
 

Re: Long post: Frequency of the different TB-endgames in gam

Postby Joachim Rang » 19 Dec 2005, 20:27

Hi Dieter,

cool, thanks a lot! I was looking for such an information. There is one curiosity though:

32 pieces: 3505641 (99.99954%)

What's the remaining 0.00056 %? Probably some games with "Vorgabe", right?
Joachim Rang
 
Posts: 69
Joined: 26 Sep 2004, 22:00

Re: Long post: Frequency of the different TB-endgames in gam

Postby Joachim Rang » 19 Dec 2005, 20:43

Hi,

I think such a list is useful in determining which 6-men are of interest. A brief look however showed some surprisingly high percentage for very boring endgames:

KQPPKP: 8665 (0.24717%)
or
KQPPK: 5962 (0.17007%)

are easily won and without any interest. Nevertheless the list is very useful I think.

Thanks again Dieter!

Joachim
Joachim Rang
 
Posts: 69
Joined: 26 Sep 2004, 22:00

Re: Long post: Frequency of the different TB-endgames in gam

Postby Anonymous » 19 Dec 2005, 20:56

Joachim Rang wrote:showed some surprisingly high percentage for very boring endgames:

KQPPKP: 8665 (0.24717%)
or
KQPPK: 5962 (0.17007%)


Have a look at http://chessprogramming.org/cccsearch/c ... _id=342823, too. There I showed statistics for 2600.pgn (one of the several versions I have). For these two endgames, I get:

KQPPKP: 3 (0.01304%)
KQPPK: 1 (0.00435%)

This is for 23000 games. Looks much more reasonable here. Dann's database has *many* engine engine games; probably in many of those, the losing engine had no desire to resign. You might have recognized, that even many games end in K-K. A good database with no engine games (also no human-engine) should give a more useful statistic.

Regards,
Dieter
Anonymous
 

Re: Long post: Frequency of the different TB-endgames in gam

Postby Kirill Kryukov » 06 Jan 2006, 09:54

Hi Dieter, I posted link to this thread at EGTB Sharing index page. I'm sure it can be useful to someone to decide the download order. Thanks!

There is also another list, constructed by Cato the Younger.

Best,
Kirill

EDIT: Updated links.
User avatar
Kirill Kryukov
 
Posts: 127
Joined: 21 Sep 2005, 09:56


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