Hello Dann:
Dann Corbit wrote: ↑Sat Jun 20, 2020 10:03 am
I guess that people will not seriously start on 8 man tablebase files for five more years.
Then, they will require about the same effort as the 7 man files did.
I agree with you. According to this site:
NULP (Number of Unique Legal Positions in chess endgames)
The number of unique legal positions (NULP) in 8-man EGTB should be circa 3.8176e+16, which is around 90.07 times the number of unique legal positions in 7-man EGTB (circa 4.2384e+14). The breakdown of NULP by endgame type is here:
https://kirill-kryukov.com/chess/nulp/r ... ndgame.txt
I downloaded an Excel with interesting EGTB statistics through 3-man to 8-man long ago, including difference in material (Q = 9, R = 5, B = 3, N = 3, P = 1), pawnful or pawnless, number of pieces by side (4 vs 4, 5 vs 3, ...). I downloaded it from CCRL Endgame Tablebase Forum and it is still downloadable:
analysis of 1 specific 6-7-8 piece position
(I found the original source thanks to
an old post by myself!).
I combined some data of 8-man EGTB: NULP by endgame type, difference in material, pawnful or pawnless and number of pieces by side. Summary:
Code: Select all
Endgames Positions Percentage
===================================================================
4 vs 4 (no P) 210 1,273,144,250,260,640 3.33 %
4 vs 4 (P) 420 10,459,782,892,146,840 27.40 %
5 vs 3 (no P) 350 1,944,492,729,833,666 5.09 %
5 vs 3 (P) 700 15,851,450,424,099,256 41.52 %
6 vs 2 (no P) 224 819,877,739,413,186 2.15 %
6 vs 2 (P) 406 6,535,348,354,167,395 17.12 %
7 vs 1 (no P) 84 148,530,422,041,225 0.39 %
7 vs 1 (P) 126 1,143,680,065,786,037 3.00 %
-------------------------------------------------------------------
TOTAL 2520 38,176,306,877,748,245 100.00 %
Endgames can be ordered in many ways: by size, by difference in material and then by size...
Many of those 2520 endgames are very umbalanced. I get the following results applying filters in Excel:
Code: Select all
Side 1: UPPERCASE.
Side 2: lowercase.
#x: number of x.
Difference = ABS[9*(#Q - #q) + 5*(#R - #r) + 3*(#B - #b) + 3*(#N - #n) + 1*(#P - #p)]
Difference Endgames
=======================
0 157
2 265
4 256
6 260
8 229
10 212
12 202
14 170
16 145
18 136
20 104
22 85
24 75
26 55
28 41
30 38
32 24
34 18
36 16
38 10
40 6
42 7
44 3
46 2
48 2
50 1
52 0
54 1
-----------------------
TOTAL 2520
Similar analysis can be done using endgames plus side to move instead of only endgames:
https://kirill-kryukov.com/chess/nulp/r ... by-esm.txt
Regards from Spain.
Ajedrecista.