Drinking you under the Tablebases

Sherwood, Russell  Sunday, January 6, 2019

I have written a little on tablebases in the past. Seven Piece tablebases are available but the size of these presents something on an issue.

What would be useful is to know the frequency of their use......

A while ago I came across the table below. The most interesting part of this is that the top two sets cover 35% of situations that arise. So if you want to get an edge perhaps downloading these is an answer?

 

 

 

occurrences:

      616,969

 

size:

   1,209.06

    96

83.5%

 

 

 

 

 

 

 

 

      1

KRPPKRP

   153,091

   23,261,437,520

     9,444,643,920

      30.46

      2

24.8%

      2

KPPPKPP

     63,395

     2,107,379,792

          89,290,832

        2.05

      2

10.3%

      3

KBPPKBP

     24,923

   30,746,474,768

     5,561,195,536

      33.81

      2

4.0%

      4

KNPPKNP

     20,204

   29,087,503,696

     6,536,127,184

      33.18

      2

3.3%

      5

KRPPPKR

     20,144

     1,075,778,832

     1,372,519,888

        2.28

      2

3.3%

      6

KNPPKBP

     19,617

   30,955,844,688

     7,104,144,272

      35.45

      2

3.2%

      7

KBPPKNP

     17,783

   28,727,898,832

     6,471,055,824

      32.78

      2

2.9%

      8

KBPPKPP

     15,470

     7,973,639,248

     1,058,776,592

        8.41

      2

2.5%

      9

KNPPKPP

     13,554

     9,689,699,280

     1,550,631,440

      10.47

      2

2.2%

     10

KRPPKPP

     13,052

     5,054,627,664

     1,127,383,952

        5.76

      2

2.1%

     11

KQPPKQP

     12,302

   22,632,171,664

   12,926,209,872

      33.12

      2

2.0%

     12

KBPPKRP

     12,082

   31,606,770,192

   12,859,232,976

      41.41

      2

2.0%

     13

KRBPKRP

     11,080

   48,381,043,216

   44,069,083,408

      86.10

      2

1.8%

     14

KPPPKBP

      9,392

     7,584,064,976

     1,438,176,656

        8.40

      2

1.5%

     15

KRNPKRP

      9,210

   58,025,199,248

   49,364,431,312

     100.01

      2

1.5%

     16

KRPPKBP

      9,074

   11,435,368,336

     4,241,347,984

      14.60

      2

1.5%

     17

KPPPKRP

      8,564

     4,645,229,072

     1,834,192,656

        6.03

      2

1.4%

     18

KQPPKPP

      8,339

     2,109,622,288

        433,126,416

        2.37

      2

1.4%

     19

KPPPKNP

      8,151

     6,680,648,720

        900,566,160

        7.06

      2

1.3%

     20

KNPPKRP

      7,567

   29,911,219,856

   12,131,137,360

      39.15

      2

1.2%

     21

KRPPKNP

      6,025

     9,632,432,848

     3,575,949,264

      12.30

      2

1.0%

     22

KPPPKQP

      5,228

     2,269,738,128

        749,323,664

        2.81

      2

0.8%

     23

KPPPPKP

      5,075

        336,964,944

           9,884,688

        0.32

      2

0.8%

     24

KRPPKRB

      4,330

   28,687,360,336

     5,877,489,808

      32.19

      2

0.7%

     25

KRPPKQP

      3,904

   16,689,932,048

     8,281,893,072

      23.26

      2

0.6%

     26

KRPPKRN

      3,785

   27,834,688,208

     6,556,337,296

      32.03

      2

0.6%

     27

KBPPPKP

      3,575

     1,491,992,336

        139,152,784

        1.52

      2

0.6%

     28

KBPPPKB

      2,807

     1,797,519,120

        503,454,608

        2.14

      2

0.5%

     29

KNPPPKP

      2,788

     1,731,776,336

        189,133,392

        1.79

      2

0.5%

     30

KQPPPKP

      2,662

        189,038,864

          66,055,056

        0.24

      2

0.4%

     31

KBNPKRP

      2,458

   82,917,193,040

   32,889,776,976

     107.85

      2

0.4%

     32

KQPPKRP

      2,324

     5,506,660,816

     3,009,336,272

        7.93

      2

0.4%

     33

KBPPPKR

      2,044

     6,897,087,952

     2,689,630,224

        8.93

      2

0.3%

     34

KQPPPKQ

      1,922

     3,745,607,056

     4,634,537,424

        7.80

      2

0.3%

     35

KBPPPKN

      1,760

        664,016,016

        264,358,928

        0.86

      2

0.3%

     36

KNPPPKR

      1,368

     7,312,293,712

     2,733,418,128

        9.36

      2

0.2%

     37

KBBPKBP

      1,075

   33,115,579,408

   12,847,387,216

      42.81

      2

0.2%

     38

KPPPPKR

      1,031

     1,762,525,008

        648,855,760

        2.25

      2

0.2%

     39

KRPPKBN

        955

   28,996,307,344

   12,680,283,216

      38.81

      2

0.2%

     40

KRPPPKQ

        667

   11,111,429,008

     5,198,413,840

      15.19

      2

0.1%

     41

KPPPPKN

        576

        439,768,208

          65,003,088

        0.47

      2

0.1%

     42

KPPPPKB

        574

        632,390,160

          75,195,600

        0.66

      2

0.1%

     43

KPPPPKQ

        448

     1,199,301,520

        598,771,280

        1.67

      2

0.1%

     44

KNNPKNP

        384

   47,429,430,096

   23,357,510,800

      65.93

      2

0.1%

     45

KRBNKRB

          54

   46,163,484,752

   54,810,115,280

      94.04

      2

0.0%

     46

KRBNKRN

          43

   41,632,251,088

   72,137,970,192

     105.96

      2

0.0%

     47

KRBBKRB

          18

   12,598,941,008

   16,965,106,960

      27.53

      2

0.0%

     48

KRBBKRN

           8

   14,069,139,408

   17,604,229,456

      29.50

      2

0.0%

Updated Sunday, January 6, 2019 by Russell Sherwood

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