idea to estimate the percentage of drawn positions in chess

Discussion of anything and everything relating to chess playing software and machines.

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Uri Blass
Posts: 10770
Joined: Thu Mar 09, 2006 12:37 am
Location: Tel-Aviv Israel

Re: idea to estimate the percentage of drawn positions in chess

Post by Uri Blass »

After more time slowchess finds mate in 13

FEN: q3R1N1/R3qRB1/Q1nb3p/1ppP1N1K/1RR1B1p1/2b2q1n/3Pk3/3bB3 w - - 0 1

Slow64-avx2 [001]:

27/45 2:24:53 47,285,102k 5,439k +M20 Be4xf3+ Ke2-f1 Rf7xe7 Bc3-d4 Re8xa8 g4xf3 d5xc6 f3-f2+ Kh5xh6 Bd6-f4+ Kh6-g6 Bf4-h2 Bg7xd4 Nh3-f4+ Kg6-g5 Nf4-h3+ Kg5-f6 Kf1-g2 Be1xf2 Bh2-f4 Qa6xb5 Kg2-h2 Bd4xc5 Bf4-g5+ Kf6-g6 Nh3-f4+ Kg6xg5 Nf4-h3+ Kg5-h6 Bd1-a4 Rb4xa4 Kh2-g2 Rc4-g4+ Kg2-h2 Qb5-b8+ Nh3-f4 Qb8xf4+
28/45 3:08:44 60,926,716k 5,380k +M16 Be4xf3+ g4xf3 Ra7xa8 Bc3-d4 Rf7xe7+ Ke2-f1 d5xc6 f3-f2+ Kh5xh6 Bd6-f4+ Kh6-g6 Bf4-b8 Bg7xd4 Nh3-f4+ Kg6-h6 c5xd4 Rc4xd4 Nf4-e2 Qa6xb5 f2xe1Q Rd4-f4+ Bb8xf4+ Rb4xf4+ Kf1-g1 Re7xe2 Bd1xe2 Re8xe2 Qe1-f2 Re2xf2 Kg1-h1 Qb5-b1+
29/45 3:09:14 61,086,943k 5,380k +M16 Be4xf3+ g4xf3 Ra7xa8 Bc3-d4 Rf7xe7+ Ke2-f1 d5xc6 f3-f2+ Kh5xh6 Bd6-f4+ Kh6-g6 Bf4-b8 Bg7xd4 Nh3-f4+ Kg6-h6 c5xd4 Rc4xd4 Nf4-e2 Qa6xb5 f2xe1Q Rd4-f4+ Bb8xf4+ Rb4xf4+ Kf1-g1 Re7xe2 Bd1xe2 Re8xe2 Qe1-f2 Re2xf2 Kg1-h1 Qb5-b1+
30/45 4:14:21 81,184,245k 5,320k +M13 Be4xf3+ g4xf3 Re8xe7+ Ke2-f1 Rc4xc3 Nc6xe7 Nf5-e3+ Kf1xe1 Ra7xa8 Ne7-f5 Rf7xf5 c5xb4 Qa6xd6 b4xc3 Qd6-g3+ Ke1xd2 Ra8-a2+ Kd2-d3 Qg3-e1 Nh3-f4+ Rf5xf4 f3-f2+ Ne3xd1 f2xe1Q Rf4-d4+
31/45 4:20:17 83,062,248k 5,318k +M13 Be4xf3+ g4xf3 Ra7xe7+ Ke2-f1 Qa6xb5 Nc6xe7 Re8xa8 Kf1xe1 Nf5xd6 Bc3xg7 Rf7xe7+ Ke1-f2 Re7xg7 c5xb4 Ra8-a1 Kf2-e1 Rc4-e4+ Ke1xd2 Qb5xb4+ Kd2-d3 Ra1xd1+ Kd3-c2 Qb4-b1+ Kc2-c3 Rg7-c7+
32/45 4:25:21 84,636,390k 5,316k +M13 Be4xf3+ g4xf3 Ra7xe7+ Ke2-f1 Qa6xb5 Nc6xe7 Re8xa8 Kf1xe1 Nf5xd6 Bc3xg7 Rf7xe7+ Ke1-f2 Re7xg7 c5xb4 Ra8-a1 Kf2-e1 Rc4-e4+ Ke1xd2 Qb5xb4+ Kd2-d3 Ra1xd1+ Kd3-c2 Qb4-b1+ Kc2-c3 Rg7-c7+
33/45 4:55:51 94,273,040k 5,311k +M13 Be4xf3+ g4xf3 Ra7xe7+ Ke2-f1 Qa6xb5 Nc6xe7 Re8xa8 Kf1xe1 Nf5xd6 Bc3xg7 Rf7xe7+ Ke1-f2 Re7xg7 c5xb4 Ra8-a1 Kf2-e1 Rc4-e4+ Ke1xd2 Qb5xb4+ Kd2-d3 Ra1xd1+ Kd3-c2 Qb4-b1+ Kc2-c3 Rg7-c7+
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Uri Blass
Posts: 10770
Joined: Thu Mar 09, 2006 12:37 am
Location: Tel-Aviv Israel

Re: idea to estimate the percentage of drawn positions in chess

Post by Uri Blass »

next positions are also a forced mate

1KQR2r1/1n4b1/NB2r2n/2nrQ3/b3PNBb/pb2Pk2/4b3/N3r1q1 b - - 0 1 2181
[d]1KQR2r1/1n4b1/NB2r2n/2nrQ3/b3PNBb/pb2Pk2/4b3/N3r1q1 b - - 0 1
1KQR2r1/1n4b1/NB2r2n/2nrQ3/b3PNBb/pb2Pk2/4b3/N3r1q1 b - - 0 1

Slow64-avx2 [001]:
2/1 00:00 81k 4,052k +21.76 Nh6xg4 Qe5xd5 Bb3xd5 Na6xc5 Rg8xd8
3/3 00:00 97k 4,863k +21.76 Nh6xg4 Qe5xd5 Bb3xd5 Na6xc5
4/7 00:00 178k 4,449k +24.11 Nh6xg4 Qe5xg7 Rg8xg7 Rd8xd5 Bb3xd5 Na6xc5 Nb7xc5 Bb6xc5
5/9 00:00 297k 4,244k +27.28 Nh6xg4 Qe5xg7 Rg8xg7 Nf4xe6 Nc5xa6+ Kb8-a8 Rd5xd8 Ne6xd8 Bh4xd8 Qc8-f5+
6/10 00:00 327k 4,085k +26.28 Nh6xg4 Qe5xd5 Bb3xd5 Na1-b3 Rg8xd8 Nb3-d2+ Kf3xe3 Nf4xd5+ Ke3xd2
7/13 00:00 724k 4,525k +27.28 Nh6xg4 Qe5xg7 Rg8xg7 Nf4xe6 Nc5xa6+ Kb8-a8 Rd5xd8 Ne6xd8 Bh4xd8 Qc8-f5+
8/15 00:00 912k 4,799k +30.00 Nh6xg4 Rd8xg8 Bg7xe5+ Kb8-a8 Ba4-d7 Qc8-f8 Re6-e8+ Qf8xe8 Bd7xe8 Na1xb3 Be5xf4
9/15 00:00 945k 4,724k +30.00 Nh6xg4 Rd8xg8 Bg7xe5+ Kb8-a8 Ba4-d7 Qc8-f8 Re6-e8+ Qf8xe8 Bd7xe8 Na1xb3 Be5xf4 e3xf4
10/17 00:00 1,684k 5,102k +31.20 Nh6xg4 Rd8xg8 Bg7xe5+ Kb8-a7 Re6xb6 Na6-b4 Be5xf4 e4xd5 Rb6xb4 Qc8-f5 Re1xa1 e3xf4
11/17 00:00 3,154k 5,438k +32.64 Nh6xg4 Qe5xd5 Bb3xd5 Rd8xg8 Nc5xa6+ Kb8-a7 Nb7-d6 Qc8xe6 Bd5xe6 Nf4xe6 Bg7xa1 Rg8-f8+ Bh4-f6
12/19 00:00 3,518k 5,496k +32.72 Nh6xg4 Qe5xg7 Rg8xg7 Rd8-f8 Nc5-d7+ Qc8xd7 Rd5xd7 Nf4xe6+ Rg7-f7 Na1xb3 Rf7xf8+ Ne6xf8 Ba4xb3 Nf8xd7 a3-a2 Na6-c5 Nb7xc5 Nd7xc5 Bh4-g3+ Kb8-b7 Qg1xe3
13/21 00:01 7,896k 5,937k +33.27 Nh6xg4 Qe5xd5 Bb3xd5 Rd8xg8 Nc5xa6+ Kb8-a7 Nb7-d6 Qc8xe6 Bd5xe6 Nf4xe6 Bg7xa1 Ne6-f4 Ba1-g7 Rg8xg7 a3-a2 Nf4xe2 Re1xe2 Bb6-d4
14/25 00:01 10,767k 6,118k +37.16 Nh6xg4 Rd8xg8 Bg7xe5+ Kb8-a8 Nc5-d7 Nf4xe2 Nd7xb6+ Ka8xb7 Re6-e7+ Qc8-c7 Re1xe2 Na1xb3 Be5xc7 e4xd5 Bc7-d8+ Na6-c7 Re7xc7+ Kb7xb6 Ba4xb3
15/29 00:03 20,224k 6,441k +39.32 Nh6xg4 Qe5xd5 Bb3xd5 Rd8xg8 Nc5xa6+ Kb8-a7 Nb7-d6 Qc8xe6 Bd5xe6 Nf4xe6 Bg7xa1 Ne6-f4 a3-a2 Nf4xe2 Re1xe2 Rg8-g6 Ba1-f6 e4-e5 Bf6xe5 Rg6xd6 Be5xd6
16/29 00:05 39,302k 6,695k +40.04 Nh6xg4 Qe5xe6 Rd5xd8 Qe6xg8 Rd8xg8 Qc8xg8 Bb3xg8 Bb6xc5 Be2xa6 Bc5-b6 Re1xa1 Kb8-a7 Ra1-b1 Nf4-h3 Qg1-f1 Nh3-f4 Ng4xe3
17/29 00:12 83,912k 6,822k +43.51 Nh6xg4 Rd8xg8 Bg7xe5+ Kb8-a8 Nc5-d7 Qc8xd7 Rd5xd7 Rg8-f8 Re6xb6 Nf4-d5+ Rb6-f6 Nd5xf6 Ng4xf6 Na6-b8 Be5xb8 Rf8xb8 Re1xa1 Rb8-f8 Rd7-d8+ Rf8xd8 Nb7xd8 e4-e5
18/31 00:22 153,547k 6,803k +43.76 Nh6xg4 Rd8-f8 Rg8xf8 Qe5xe6 Nc5xe6 Qc8xf8 Ne6xf8 e4xd5 Be2xa6 Kb8-a8 Re1xa1 Nf4-h3 Qg1-g3 Nh3-f4 Nf8-d7 Ka8-a7 Nd7xb6 Ka7xa6 Nb7-c5+ Ka6xb6 Ng4xe3
19/31 00:33 217,286k 6,578k +44.64 Nh6xg4 Qe5xe6 Rd5xd8 Qe6xg8 Rd8xg8 Na6xc5 Nb7xc5 Na1xb3 Rg8xc8+ Kb8xc8 Ba4xb3 Bb6xc5 a3-a2 Nf4-g6 Be2-a6+ Kc8-b8 Qg1-g3+ Ng6-f4 a2-a1Q Bc5-d6 Qa1-a5 Kb8-a7 Ba6-b5+ Ka7-b7 Qa5-a6+ Kb7-b8 Qa6-b6+ Kb8-c8 Qb6xd6
20/33 01:13 442,174k 6,038k +49.64 Nh6xg4 Rd8xg8 Bg7xe5+ Kb8-a8 Nc5-d7 Nf4xe2 Nd7xb6+ Ka8xb7 Re6-e7+ Qc8-c7 Re1xe2 Rg8-f8+ Kf3xe4 Rf8-f7 Be5xc7 Rf7xe7+ Bh4xe7 Na1xb3 Bc7-d8 Nb3-c5+ Be7xc5 Na6-b8 a3-a2 Kb7-a6 a2-a1Q Ka6-b7 Qa1-g7+ Kb7-a6
21/33+ 02:10 754,467k 5,792k +M22 Nh6xg4
22/33 02:27 846,668k 5,742k +56.24 Nh6xg4 Qe5xd5 Bb3xd5 Rd8xg8 Nc5xa6+ Kb8-a7 Nb7-d6 Nf4xd5 Nd6xc8+ Rg8xc8 a3-a2 Rc8-g8 Bg7xa1 e4-e5 Ba1xe5 Rg8-f8+ Bh4-f6 Rf8-c8 a2-a1Q Nd5xf6 Ng4xf6 Rc8-c4 Be2xc4 Bb6-c7 Na6xc7
23/33 02:28 853,361k 5,739k +M16 Nh6xg4 Qe5xd5 Bb3xd5 Rd8xg8 Nc5xa6+ Kb8-a7 Nb7-d6 Qc8xe6 Bd5xe6 Nf4xe6 Bg7xa1 Rg8-f8+ Ng4-f6 Rf8-d8 Nf6xe4 Rd8-f8+ Ba1-f6 Ne6-d4+ Kf3-f2 Nd4-e6 Re1-b1 Ka7-a8 Rb1xb6 Ne6-c5 Ba4-c6+ Ka8-a7 Qg1-g7+ Nc5-d7 Qg7xd7+ Ka7xb6 Qd7-c7+
24/33 02:33 878,340k 5,731k +M15 Nh6xg4 Qe5xd5 Bb3xd5 Rd8xg8 Nc5xa6+ Kb8-a7 Nb7-d6 Qc8xe6 Bd5xe6 Nf4xe6 Bg7xa1 Rg8-f8+ Ng4-f6 e4-e5 Ba1xe5 Rf8-d8 Ba4-c6 Rd8xd6 Qg1-g7+ Bb6-c7 Be5xd6 Ne6-d4+ Kf3-f2 Nd4xc6 Qg7xc7+ Ka7-a8 Qc7xc6+ Ka8-a7 Bd6-b8+
25/33 02:41 925,074k 5,716k +M15 Nh6xg4 Qe5xd5 Bb3xd5 Rd8xg8 Nc5xa6+ Kb8-a7 Nb7-d6 Nf4xd5 Nd6xc8+ Rg8xc8 a3-a2 e4-e5 Ng4xe5 Bb6-a5 Ne5-c6+ Ka7-a8 Nc6xa5 Na1-c2 Ba4xc2 Rc8xc2 a2-a1Q Nd5-c7 Qa1-b1 Rc2-b2 Bg7xb2 Nc7xe6 Qb1-e4+ Ka8-a7 Qe4-b7+
26/33 03:04 1,045,549k 5,674k +M14 Nh6xg4 Qe5xd5 Bb3xd5 Rd8xg8 Nc5xa6+ Kb8-a7 Nb7-d6 Nf4xd5 Nd6xc8+ Rg8xc8 a3-a2 e4-e5 Ng4xe3 Bb6xe3 Qg1xe3+ Nd5xe3 Re6-e7+ Ka7-b6 Re1-b1+ Kb6-a5 Bh4-e1+ Ka5xa4 Re7-a7 Rc8-f8+ Bg7xf8 Na1-b3 Na6-c5+
27/33 03:06 1,055,073k 5,670k +M14 Nh6xg4 Qe5xd5 Bb3xd5 Rd8xg8 Nc5xa6+ Kb8-a7 Nb7-d6 Nf4xd5 Nd6xc8+ Rg8xc8 a3-a2 e4-e5 Re1xa1 Bb6-d4 Ra1-b1 Bd4-b6 a2-a1Q Rc8-f8+ Bg7xf8 Nd5-c7 Re6xb6 Nc7-b5 Rb1xb5 Ka7-a8 Na6-c7+ Ka8-a7 Rb6-b7+
28/35 04:29 1,464,687k 5,439k +M13 Nh6xg4 Qe5xd5 Bb3xd5 Rd8xg8 Nc5xa6+ Kb8-a7 Nb7-d6 Nf4xd5 Nd6xc8+ Rg8xc8 Re1-c1 Rc8-f8+ Bg7xf8 Na1-b3 Ba4xb3 Ka7-b7 Bb3xd5+ e4xd5 Re6-e7+ Bb6-c7 Rc1xc7+ Kb7-b6 Qg1-b1+ Kb6-a5 Qb1-b5+

[d]2rb4/pnBp3B/2NP2BN/RR1n1bP1/1QQR1q1p/P1R4n/K3pk2/3B1r2 b - - 0 1 2046


Slow64-avx2 [001]:
2/2 00:00 21k 0 -18.52 Nd5xb4+ Rb5xb4 e2xd1Q Rd4xf4+ Kf2-g2 Ra5xf5 Nh3xf4 Rf5xf4 Rf1xf4 Qc4xf4
3/4 00:00 38k 0 -16.20 e2xd1Q Rd4xd1 Nd5xb4+ Rb5xb4 Qf4xc4+ Rc3xc4 Nb7xa5
4/6 00:00 51k 0 -16.96 e2xd1Q Rd4xd1 Nd5xb4+ Nc6xb4 Qf4xc4+ Rc3xc4 Rf1xd1 Rb5xf5+
5/8 00:00 132k 6,595k -18.68 e2xd1Q Qb4-b2+ Kf2-g1 Qc4xd5 Qd1-a1+ Qb2xa1 Rf1xa1+ Ka2xa1 Qf4-f1+ Rd4-d1
6/10 00:00 256k 8,528k -18.68 e2xd1Q Qb4-b2+ Kf2-g1 Qc4xd5 Qd1-a1+ Qb2xa1 Rf1xa1+ Ka2xa1 Qf4-f1+ Rd4-d1
7/12 00:00 399k 6,644k -22.52 e2xd1Q Qb4-b2+ Kf2-g1 Qc4xd5 Qd1-a1+ Qb2xa1 Bf5-e6 Qd5xe6 Rf1xa1+ Ka2xa1 Qf4-f1+ Rb5-b1
7/12+ 00:00 399k 6,651k -20.91 Nd5xb4+
7/12 00:00 425k 7,086k -19.20 Nd5xb4+ Rb5xb4 e2xd1Q Rd4xd1 Qf4xc4+ Rc3xc4 Rf1xd1 Ra5xf5+ Kf2-g1 Rc4-g4+ Kg1-h1 Rb4xb7
8/16 00:00 734k 6,677k -19.80 Nd5xb4+ Rb5xb4 e2xd1Q Rd4xd1 Qf4xc4+ Rc3xc4 Rf1xd1 Ra5xf5+ Kf2-g1 Rc4-g4+ Kg1-h1 Rb4xb7 d7xc6 Rg4xh4
9/18 00:00 1,034k 6,891k -21.36 Nd5xb4+ Rb5xb4 e2xd1Q Rd4xd1 Qf4xc4+ Rc3xc4 Rf1xd1 Ra5xf5+ Kf2-g1 Rc4-g4+ Kg1-h1 Nc6xd8 Rd1-d2+ Rb4-b2 Rd2xb2+ Ka2xb2 Nb7xd8 Rf5-f1+
10/18 00:00 1,615k 7,023k -21.36 Nd5xb4+ Rb5xb4 e2xd1Q Rd4xd1 Qf4xc4+ Rc3xc4 Rf1xd1 Ra5xf5+ Kf2-g1 Rc4-g4+ Kg1-h1 Nc6xd8 Rd1-d2+ Rb4-b2 Rd2xb2+ Ka2xb2 Nb7xd8 Rf5-f1+
11/18 00:00 1,687k 7,029k -21.36 Nd5xb4+ Rb5xb4 e2xd1Q Rd4xd1 Qf4xc4+ Rc3xc4 Rf1xd1 Ra5xf5+ Kf2-g1 Rc4-g4+ Kg1-h1 Nc6xd8 Rd1-d2+ Rb4-b2 Rd2xb2+ Ka2xb2 Nb7xd8 Rf5-f1+ Kh1-h2 Rg4xh4
12/18 00:00 3,376k 6,890k -24.84 Nd5xb4+ Rb5xb4 Kf2-g1 Rd4xf4 Nh3xf4 Bd1xe2 Bf5-e6 Qc4xe6 d7xe6 Be2xf1 Bd8xc7 d6xc7 Nb7xa5 Nc6xa5
13/22 00:01 11,982k 6,732k -27.04 Nd5xb4+ Rb5xb4 Bf5-e6 Qc4xe6 d7xe6 Bd1xe2 Qf4-c1 Rc3xc1 Rf1xc1 Rb4xb7 Bd8xg5 Ra5xg5 Rc8-f8 Rg5-e5 Rc1xc6 Rd4xh4
13/22+ 00:01 12,257k 6,698k -27.03 e2xd1Q
13/22+ 00:03 19,867k 6,493k -27.03 Kf2-g1
14/24 00:04 27,170k 6,333k -29.80 Nd5xb4+ Rb5xb4 Kf2-g1 Rd4xf4 Rf1xf4 Qc4xe2 Bf5-e6+ Bd1-b3 Rf4-f2 Rc3-c1+ Kg1-h2 Qe2xf2+ Nh3xf2 Bb3xe6 d7xe6 Rb4xh4+ Kh2-g3 Rc1-c3+ Kg3xh4 Ra5-a4+ Kh4xg5 Nh6-f7+
14/24+ 00:05 32,375k 6,286k -29.79 e2xd1Q
14/24 00:05 35,324k 6,285k -24.28 e2xd1Q Qb4-b2+ Kf2-g1 Rd4xd1 Nd5xc3+ Qb2xc3 Qf4xc4+ Qc3xc4 Rf1xd1 Bg6xf5 Rd1-d2+ Rb5-b2 Rd2xb2+ Ka2xb2 Nh3-f2 Qc4xh4 Nf2-d1+ Kb2-c1 Nd1-e3 Qh4-g3+ Ne3-g2 Ra5xa7
15/30 00:06 41,620k 6,240k -28.04 e2xd1Q Qb4-b2+ Kf2-g1 Rd4xd1 Nd5xc3+ Qb2xc3 Rf1xd1 Qc4xf4 Bf5-e6+ Ka2-b2 Nh3xf4 Qc3-e3+ Kg1-h1 Qe3-f3+ Nf4-g2 Qf3xd1+ Kh1-h2 Rb5xb7 d7xc6 Nh6-g4+ Be6xg4 Qd1xg4 Bd8xc7 d6xc7 Rc8xc7 Rb7xc7 h4-h3 Ra5xa7
16/30- 00:09 57,113k 6,161k -M19 e2xd1Q Qb4-b2+
16/30+ 00:09 57,455k 6,158k -95.00 Nd5xb4+
16/30 00:22 132,232k 5,903k -44.20 Nd5xb4+ Rb5xb4 Bf5-e6 Qc4xe6 d7xe6 Bd1xe2 Qf4-g3 Rc3xg3 Kf2xg3 Rd4-d3+ Kg3-h2 Rb4xh4 Kh2-g1 Rd3xh3 Rf1-a1+ Ka2xa1 Bd8-f6+ g5xf6 Nb7xd6 Ra5-g5+ Kg1-f2 Bc7xd6 Rc8xc6
16/30+ 00:22 132,239k 5,904k -44.19 Kf2-g1
16/32 00:40 234,386k 5,756k -40.68 Kf2-g1 Rd4xf4 Nd5xf4 Bd1xe2 Bf5-e6 Be2xf1 Nh3-f2 Rb5xb7 Bd8xc7 d6xc7 Rc8xc7 Rb7xc7 Be6xc4+ Qb4xc4 Nf4xg6 Nc6-d4 h4-h3 Bf1xh3 Nf2xh3 Bh7xg6
17/32 01:22 485,008k 5,898k -49.67 Kf2-g1 Rd4xf4 Nd5xf4 Bd1xe2 Bf5-e6 Be2xf1 Nh3-f2 Rb5xb7 Rc8-b8 Nc6xb8 Bd8xc7 d6xc7 Nf4xg6 Bh7xg6 Nf2-d1 Rc3-c1 Nd1-e3 Bf1-h3+ Kg1-h2 Bh3xe6 Ne3xc4
18/32- 01:45 625,408k 5,943k -M20 Kf2-g1 Rd4xf4
19/32 02:12 781,575k 5,900k -M12 Kf2-g1 Rd4xf4 Nd5xb4+ Rb5xb4 Nh3xf4 Bd1xe2 Bf5-e6 Qc4xe6 d7xe6 Be2xf1 Bd8-f6 g5xf6 Nb7-c5 Rb4-b1 Nc5-d3 Bf1xd3+ Kg1-f2 Rb1-b2+ Nf4-e2 Rb2xe2+ Kf2-g3 Bd3-e4+ Kg3-f4 Rc3-f3+
19/32+ 02:13 787,615k 5,896k -M13 Nd5xb4+
19/32 02:14 790,363k 5,894k -M15 Nd5xb4+ Rb5xb4 Bf5-e6 Qc4xe6 d7xe6 Bd1xe2 Rf1-e1 Rd4xf4+ Nh3xf4 Rb4xf4+ Kf2-g1 Rf4-g4+ Kg1-h2 Rg4xh4+ Kh2-g1 Rc3-g3+ Kg1-f2 Rg3-f3+ Kf2-g1 Rh4-g4+ Kg1-h2 Rf3-f2+ Kh2-h3 Be2-f1+ Re1xf1 Rf2xf1
20/32 02:18 815,942k 5,880k -M12 Nd5xb4+ Rb5xb4 Bf5-e6 Qc4xe6 d7xe6 Bd1xe2 Rf1-e1 Rd4xf4+ Nh3xf4 Rb4xf4+ Kf2-g1 Rf4-g4+ Kg1-h2 Ra5-e5 Nb7-c5 Re5-e3 Nc5-d3 Rc3xd3 Re1-a1+ Ka2xa1 Bd8-f6+ g5xf6 e6-e5 Re3-h3+
21/32 02:22 835,524k 5,868k -M12 Nd5xb4+ Rb5xb4 Bf5-e6 Qc4xe6 d7xe6 Bd1xe2 Rf1-e1 Rd4xf4+ Nh3xf4 Rb4xf4+ Kf2-g1 Rf4-g4+ Kg1-h2 Ra5-e5 Nb7-c5 Re5-e3 Nc5-d3 Rc3xd3 Re1-a1+ Ka2xa1 Bd8-f6+ g5xf6 e6-e5 Re3-h3+
22/32 02:22 835,690k 5,868k -M12 Nd5xb4+ Rb5xb4 Bf5-e6 Qc4xe6 d7xe6 Bd1xe2 Rf1-e1 Rd4xf4+ Nh3xf4 Rb4xf4+ Kf2-g1 Rf4-g4+ Kg1-h2 Ra5-e5 Nb7-c5 Re5-e3 Nc5-d3 Rc3xd3 Re1-a1+ Ka2xa1 Bd8-f6+ g5xf6 e6-e5 Re3-h3+
23/32 02:23 838,995k 5,864k -M12 Nd5xb4+ Rb5xb4 Bf5-e6 Qc4xe6 d7xe6 Bd1xe2 Rf1-e1 Rd4xf4+ Nh3xf4 Rb4xf4+ Kf2-g1 Rf4-g4+ Kg1-h2 Ra5-e5 Nb7-c5 Re5-e3 Nc5-d3 Rc3xd3 Re1-a1+ Ka2xa1 Bd8-f6+ g5xf6 e6-e5 Re3-h3+
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petero2
Posts: 722
Joined: Mon Apr 19, 2010 7:07 pm
Location: Sweden
Full name: Peter Osterlund

Re: idea to estimate the percentage of drawn positions in chess

Post by petero2 »

petero2 wrote: ↑Mon Apr 21, 2025 7:27 pm I extracted 1000 random positions from the set of 112754 random legal positions I mentioned before. I then analyzed them with stockfish. In 702 positions stockfish found a forced mate.
I analyzed each position with Stockfish 17.1 for 2 minutes using 15 cores. Together with results already posted the status is now:
  • 2 positions are proven draws
  • 727 positions are proven mate
  • 271 positions are unknown
The remaining positions are:

Code: Select all

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2K1B3/1QpB3b/1B1B1n2/brp1rNNR/q2P1Bnn/1p2P2r/1k3q1R/1q6 w - - 0 1 912
2R3Q1/RK1n3Q/6q1/1p2bPPR/2Bn1bNr/1P1bQr2/2P4p/B2k1qNQ b - - 0 1 918
kq1r2r1/1bQpb3/1pRNn3/1Q2N3/NnBNpr2/N3rPR1/1K2rq2/2B5 w - - 0 1 918
1QB5/Rn1QQ3/1b2n1kn/1Kb3b1/3n2N1/2N1q1rP/BB2n1BQ/1q1r2q1 w - - 0 1 924
3r4/n2B1b2/RQ2R1q1/b3KBR1/2B2r1q/1R2P1b1/n1r2B1k/NR1N1n1n w - - 0 1 927
N1Q3rq/2NB2k1/rKB1Bpq1/1BB3p1/q2qr2Q/r5N1/5n2/1bRB2n1 w - - 0 1 937
r3R3/2p3r1/4q1Bk/1n1KRRr1/QBP3qq/P2Q1nBR/bN1N1nB1/3R4 w - - 0 1 942
5rB1/1r1n1B1p/p4r1Q/q2r1r1N/1kP1NP1n/RP4N1/bN2q2P/5K2 w - - 0 1 943
k2q1QBb/P1R4K/1n4n1/2p1p1R1/1p4B1/2QNQ1rn/r4N2/N1N1nB1b b - - 0 1 944
8/1Qp1bqpb/Bb4PN/b2b4/2qNQ1n1/Pr2N2P/RkP1RPK1/4N3 b - - 1 2 946
R1nb4/1B1n2N1/3kpp1r/qB3Br1/2Q1KP1B/N1P5/2QnPB2/n2Rb1nb w - - 0 1 946
B1r1r2Q/1b2prb1/1R3n1p/q2q2P1/1Q1RRPN1/1Q2n2k/R1N3b1/3K1nB1 w - - 0 1 960
B2n2Q1/2P1RKB1/2bp1p1p/2n1b1pk/7B/1r1b1qrP/1PNQP1nN/5N2 w - - 0 1 962
1Bn3k1/5pp1/K1BRbPPq/B7/nPrBr3/2RB2Q1/2b2N2/n1rq1bR1 b - - 1 2 964
B1n2k2/1N6/bB1R3B/3B1K1b/bRRb1pBq/2P3q1/Rb1N2rQ/4rb1n b - - 0 1 964
2Qn1Bn1/rb2q1N1/1N4b1/1r1R4/kB4R1/2B2nNB/NK1bqqqR/2RR4 b - - 0 1 966
N1B1K1Rq/5rbP/4p2b/4N3/1q1r2Qq/Q5bR/brk1n1QQ/Bn4nr w - - 0 1 973
1q1rb1b1/1Qnn2N1/1R5R/kN2BBNn/p4R1b/P3Pr1q/3K1b2/QB4Q1 b - - 0 1 978
qRk3Nn/8/P3r3/pn2R1n1/1p1n3R/BP1Bn3/1bpK1QbR/2B1N1B1 b - - 0 1 978
2nr1Qnr/1NN1RRB1/2BR1R2/n1b3q1/P4b2/RR2PNqk/1B1K2b1/2n5 w - - 0 1 988
2BN3b/4Rpn1/7q/b1r2P1k/r4R1b/nNBN2n1/BbqqbRK1/1b1Q4 w - - 0 1 989
1kn2KR1/R1Pb2N1/1b1NR1rN/n3Q3/4B2B/b1q5/4Q2Q/NNq1bNn1 b - - 0 1 996
bn1q3q/RB4rk/p3pbNr/2Q4n/2p2Pr1/7R/rbPK2B1/1BB2NN1 w - - 0 1 996
3knn2/1Qbq1r2/br4N1/qRqbB3/3p1BR1/qRRq4/2B2N2/1BbK2Q1 w - - 0 1 997
NQ2q3/1n2ppPn/2R1brn1/n3r3/NR1p1BK1/4rP2/kn1P1b1Q/3R2b1 w - - 1 2 1020
2Br2n1/r2b2r1/BbQ1q1Q1/Q3nb1k/1Q1p1B1n/1BN1R1Rb/K4P2/3N1n2 b - - 0 1 1021
r1n4b/N7/N3pBpk/R1r5/qPP1KN1R/pRr4r/3b1RP1/3bQN2 b - - 0 1 1026
2nb4/3qnNb1/BpN1B2q/2rnBP1k/b3bB1b/1QrQbQ2/8/5KQ1 b - - 0 1 1033
Rq1B2bQ/1Q1BK1Nr/n3bp2/1np1PR2/B1n1N2P/5qP1/3n4/2Q3kb b - - 0 1 1040
2B2bN1/2K1N1qk/n1NB4/1bn3B1/2NR1n1b/2qr2R1/2r4n/bn2QRR1 w - - 0 1 1052
3r1r2/1R1rN1Q1/1RQ2Q2/4r1NN/5rbN/1R1N1nb1/2BknRrB/1K2b1q1 b - - 0 1 1056
3R3r/k5K1/Pr3p2/QR1p4/r1NPNRq1/3nnq1N/2rn2BB/3qRb1b w - - 0 1 1057
3q2B1/B2B1q2/1npP1Q1R/P1k1R2p/2N2nnb/2p3qn/2R3br/NKN4r b - - 0 1 1063
KR2N3/1N1nNP2/1b2b3/2p2rbn/Bn1Q2r1/1P1r1B2/1P1q1R1B/k3Bq1Q w - - 0 1 1071
n5r1/B3Bkq1/KqQpNP2/n1rQ1n2/1BP3rN/6b1/b2P2Q1/q1rR2R1 w - - 0 1 1071
1r3n1K/q3B2P/Q1n5/nBP2R1Q/2b2Np1/4rrP1/3rRbq1/Nn1n2Bk b - - 0 1 1073
q2b2r1/3K1B2/1N3b1k/1p2B2N/1B1nP3/2R2Pp1/N2pb1Qp/r1QN2Qq b - - 0 1 1078
4Bb2/qPK5/1NQB1NrN/B7/n1p1N3/2q1N1rr/1Ppbr1k1/2nr1R2 b - - 0 1 1079
bK1n1Q1N/nbP1R2b/1p3P1q/1P2N3/2rqnq2/5BPk/BR2p3/n2N4 w - - 0 1 1094
1rQ2K2/R3N1r1/bbQ1rRR1/2nr4/BPQq1P1p/4pN2/k7/B2Q1b1r b - - 0 1 1098
1N4q1/Bn2br1k/p3N3/P2R1rNp/6Pb/Q1B3B1/3Qbq1N/1KR1nn1q b - - 0 1 1101
2RN2nB/4N3/5B1N/1qpB2BK/5B1B/1q1pb1Qq/nB1Pnp1r/2nk4 b - - 0 1 1110
r7/2K1n3/p1B1NQP1/5p1p/1R2B1bN/nrB2Pkb/1q1Q2b1/R1q1nb1B b - - 0 1 1110
1Nq4r/1Q1r1rNP/Q4R2/2Bn3B/1R2r2r/1qn2K1Q/1k1bpBb1/1rnQ4 w - - 0 1 1113
n3rnb1/4p3/4n1RR/4N3/2bRN2K/1NPbRP1B/3pN2n/rk1b2q1 w - - 0 1 1117
rrb1K3/1N1n2BB/4R1NB/rnP1r3/q7/2N2Bpq/k1B1R2Q/r4qQ1 b - - 0 1 1121
2k1BN1K/1qR3rb/3bNr2/1RBb4/n1pQ4/QBP1n2Q/P5n1/Q1qn1R2 b - - 0 1 1123
2b1QR1N/N2R1n2/1bR5/5P2/bp2qRKQ/q4n1N/kqB5/q1rQBN1r b - - 0 1 1134
4B1n1/K2Q1R2/1P1Pq3/6P1/Nn2N2n/1bP2qr1/rnq1Nk1N/N2R2Rr b - - 0 1 1134
1K2Brk1/Q3b1P1/1p1NR2q/B5qr/1n1p2B1/Q3n1B1/B1bqR1rr/N4r2 b - - 0 1 1141
N1BBK1Q1/2Q2nBn/5PqR/r3NP2/4qb2/2pNRn1Q/b3b1kn/N4r2 b - - 0 1 1141
1R3qK1/1B1P1Q2/Q1Q2N2/p3B2R/n2rnr2/5r2/q2q1qN1/kNbqQ2b w - - 0 1 1144
N2r2NB/1PP5/1RKn2r1/B1bppkP1/R2Q1b1R/Bpn3r1/R2q2r1/8 w - - 0 1 1149
3Nk1nn/1r6/3b3N/3bPRp1/K4R1R/2PB1rb1/Qn1Qn1Pr/B3Q1bQ w - - 0 1 1154
qqr2rn1/2R3nR/3b2r1/Q3qBrb/R5nq/Q1Q2b1k/KB2pB1R/8 b - - 0 1 1154
3q4/P1K3B1/1p1Qr2R/BP1B1p2/k3bRN1/1q1rNb2/q2nPrQ1/b1n4R w - - 0 1 1159
4qR1k/3bp2r/2BBp3/Q1KPb3/1Npr1RBN/1bB1N1b1/3PQ1n1/1N5n b - - 0 1 1161
r3B1q1/2Nb2Nk/Qb1K2pN/8/5QR1/1PB4P/N1qp1QRB/nq1q3r b - - 0 1 1165
3qR1q1/R6k/2q1p3/1rbQN1R1/2BBb2b/1PP1rpp1/K3nP1b/2N2rB1 b - - 0 1 1166
3bQrR1/6nb/q4nr1/1Q1pQpkq/1N1R1n2/RpKPb3/6N1/1B1qn3 w - - 0 1 1168
1nQr2B1/n1R4N/B1R2bbk/1R1K1Qr1/1b2Q1b1/2b1p2q/p3p2p/4n2R w - - 0 1 1176
1rr2b1k/3p2B1/K3Rb2/1r5B/1B1Q4/2nRPNrQ/2Q2Qb1/n2Bn1rR b - - 0 1 1178
1Br1r3/rBQ1n3/rB2r1N1/b3b2b/qP1N1k2/R2r3n/K3B1B1/2N2bb1 b - - 0 1 1182
NK1q1B2/1BRB2Q1/3b1Q2/2qn1RP1/P1k1N3/n2p1n1q/1q1P1p2/nn4Q1 w - - 0 1 1190
7k/p3Kn1q/1B2P2r/5rB1/r2Qp1pN/2B2R1R/1bPn1N2/nn1nN1B1 b - - 0 1 1201
2k1r1r1/p1Bp1p2/3P2N1/2Q2qR1/1n3rn1/1K1qQP2/3Pq1BN/RQ1R1NB1 w - - 0 1 1202
2nK4/3R1b2/2NRqN2/QQrN1Nq1/3BB1nk/P1N2PNr/3rR3/2bn3r b - - 0 1 1206
bK3B2/2BR1n1R/3B4/2q3N1/1B1QBpp1/1r2P2b/RQnrk3/1n2bBn1 b - - 0 1 1206
2b2NK1/3QB3/NPQ1r3/n1P1N3/3rB2r/1N1Pnnb1/k1P3r1/1b1RB1b1 b - - 0 1 1207
Q1QN2RK/3RqB2/qp4pQ/4nB2/2pQ2P1/k1PB4/N1rnq3/1b1r1Nb1 b - - 0 1 1212
3Q4/r3Nq2/1P1nkB1n/KR2p3/1N1qb3/R1N1Pn2/1Nb1qpBp/2br1Q2 w - - 0 1 1215
b5bR/1Rr4B/3qn3/3Rr1B1/Kp1r3Q/RPNQ2nr/nq1Q3b/3qN2k w - - 0 1 1215
nk1R2R1/R2q1q2/Pp1RQB2/P7/3Rq1B1/1r1pbbPK/1n1Np3/4q3 b - - 0 1 1215
6Rb/n1r3P1/3R1pkq/rr5R/b1NQNbn1/bN3r2/2NKQrBB/7Q w - - 0 1 1224
n1B2nr1/1b1RpPPN/P4r1b/2Q2n1p/b5Pq/K1q1P1R1/N6k/3b2RB w - - 0 1 1233
Rqkr4/1q2qp1P/pP2bnP1/P7/2PQ3r/KB3R2/1pR5/B1n1rb1Q w - - 0 1 1237
2B3R1/N2n2r1/3r1k2/pn1n1p1N/K1Qb1n2/1BPR1n2/2Q1bp2/2qr2Q1 b - - 0 1 1244
1b1NR1nn/2kBB1r1/2N2n1q/1q2b2N/b1R1RR1N/4n2r/3nP2N/K3BQ2 w - - 0 1 1252
5RBq/2BRpBB1/N1K1B3/2bP2r1/1Rpqkp2/1r1n1q2/1N5b/2Q1Q2n b - - 0 1 1252
1q4R1/QNpn2B1/b1P2R2/1rr2bRB/3P3R/1k2BpK1/1nbb2Bn/2Q1b3 w - - 0 1 1257
q1N5/P2kq2q/2r2Qq1/QbPN1R1p/2KbP2n/3n4/2R2q1R/B1N3nb w - - 0 1 1272
RrNbR3/b7/nNkrQ3/K1nr3B/2b1p2p/1R1nN2p/3RPNqq/2b5 w - - 0 1 1273
r2kBNr1/1pr1R3/nB2b2N/q3R1BK/1N5p/4q2r/1QqR3n/2Brn3 b - - 0 1 1277
2bQq3/2Pb4/1Bnppr2/QQ6/N1R4P/1KPNb1q1/4BQqk/N2R1B2 b - - 0 1 1279
5N2/b2KQn1p/3QN3/1r1BBqPp/kr1rnNB1/1r6/bRQ2pR1/2n3q1 b - - 0 1 1287
B1QB1R2/5rp1/1K1bbrPQ/Bn4kr/Nr2R1b1/3P1B2/4Nrnp/2N3q1 b - - 0 1 1299
2QB2R1/3Pr1q1/1K1R2N1/1bp3rb/b2N1qn1/2n1n3/N2R2n1/1R1rb1bk w - - 0 1 1301
6NN/br1Kb1BQ/p2QB3/2P2bp1/Rr1pPn2/1r1RNk1r/2qn4/2N3r1 w - - 0 1 1304
nb2rr1k/3RB3/1nr4P/2RBbB2/Bn1NK1Bq/1b2Q3/nBN3Q1/4RQ2 w - - 0 1 1312
4bQ2/n1PNbn1K/kNrR2p1/2q2Q2/1b1BNR1P/2P2p2/4PP1r/1q2qb2 b - - 0 1 1316
Br1qQq1R/R2B4/N7/rQb1pPn1/2p5/B1n2b1P/1r2r2K/1bkN2NR w - - 0 1 1320
4N3/3R1qq1/NB1NB1q1/K1N4r/2B2q1r/BR1Q3B/2k2qbn/2bqnR1n b - - 0 1 1321
1R5K/N1Q5/2BBNNp1/1r2n2Q/Q3Pp2/RP2NqkB/pr4pn/2n1b3 b - - 0 1 1325
Q1nr1R2/n1b2Rr1/1Qnq2P1/3Rrb1k/B6B/1p6/Qb3P1N/1KN1N1q1 w - - 0 1 1326
2KQR1N1/R3r2p/3N1pRP/R2n1Pp1/B6q/2P1BnP1/2bqqkq1/b1n3N1 b - - 0 1 1328
1N2qr1b/p1Q1PQ1q/1Rq4N/1R4rn/1P3nN1/PnQp2Pb/1k4B1/b4K2 b - - 0 1 1335
Q1rk2n1/3Bbr2/b1R1pn2/n5B1/1rb3P1/7p/4QRN1/1KBrBBQQ w - - 0 1 1342
4BQb1/2rBR3/nk1Rq2n/1Np4K/q1qnpP2/1PB1B2b/rb6/2Nn2b1 b - - 0 1 1355
2Q1b1N1/1Q2q1B1/1rQK2N1/3n1B1q/1pB4R/Q1n3p1/2b1n2P/RrqB2k1 w - - 0 1 1362
1B2k2b/4rB1n/KQ1R2n1/N5Rb/q2P4/1r2B1bq/Pr1QBNq1/R2n3Q b - - 0 1 1372
1QNR4/2q1PnQ1/1BrpRqQ1/n2r4/1Bk1P2P/n2P1BB1/4r3/q5NK b - - 0 1 1444
n1q3nb/2N4R/RNKn1k2/5P2/r1bPR3/n2bqBPR/1Q2RN2/1bR5 w - - 0 1 1461
2nB3b/q4QN1/q5b1/p2BrBK1/N4B1r/bR2r3/BNbpB1kn/5n2 b - - 0 1 1476
Q1qNr3/1Q2Nbp1/R2q1NQ1/1pPn2BK/1B2BB2/1b3r2/n1P5/k2B4 w - - 0 1 1482
2qRNQb1/r6r/Qb2Nb1R/1rb2NP1/1B2R3/b4bR1/1pn3BN/k3K1n1 w - - 0 1 1489
8/kQ1p1KB1/2RPr1p1/1r4q1/6N1/1nbN1RQn/1pnNbrb1/1nn1R2N b - - 0 1 1526
q4B1Q/BrR1bP2/1nb2rnQ/4Q1br/N6k/1B5p/K2N1PQ1/R3qr1n b - - 0 1 1548
bb2QK2/n1rN4/4q2p/1rB3Pp/2RB1Pk1/6Q1/1rrn2br/1RNbrB2 b - - 0 1 1565
1bRN4/3q4/N1KQ4/1P1p1Q2/1Q1Pb2q/2nb2Rr/1pq1p2N/q1nrk3 w - - 0 1 1568
1B1R2Rr/q3BP1b/n3p3/1B1NN2P/2Kn1r1q/2N4Q/2n3N1/1rBknR2 b - - 0 1 1572
5B1Q/1rNq3b/N6B/1bK1B2Q/Rn4P1/pNkP1n1p/1N2bRn1/6B1 b - - 0 1 1583
1R1n2N1/K1p3Np/1P2q1P1/2P5/bbN1p2N/nrNr3P/r1Q1r3/kNq5 w - - 0 2 1642
3B2Q1/kN2p3/4K3/nRb2RNP/q1NrPp2/nb1R4/1q1PQ1P1/2BB1rn1 w - - 0 1 1694
1bR1Qr2/2RNp2p/p1K1B3/2prQpR1/4n3/rP2rBQ1/P2Q4/1k2q2n b - - 0 1 1701
3Qrn2/2p2rR1/2np3B/1NP1b2P/b2n2P1/1Qn3nK/RbQP3N/6k1 b - - 0 1 1703
N1krq1R1/qrbr4/R2b2Qb/4R1n1/2B2Nb1/KNpN4/1n1n3Q/2B3qN w - - 0 1 1722
1B2B1q1/1R1Pq2B/1p1pnq1R/BQ2N2R/2KP1rkN/7q/1B5Q/3Rr1bn b - - 0 1 1770
bRKR2q1/2QBP3/2Qp1Rk1/pN2n3/P4b1n/1q1qq2q/1r1P2n1/1bBN1r2 b - - 0 1 1790
2bq1RN1/2Rr2b1/2B2p2/1nRn1KBr/B1Q4N/bP6/2rR2bq/1RBq1k2 b - - 0 1 1801
1BqQK3/3RBn2/prB1p2R/r3B3/1P2B1n1/rB3Pq1/4B3/1qq1qk2 b - - 0 1 1804
1BNqR1Q1/b2Q1NRr/3P2n1/3b1B1r/QQ6/PQ1P4/3nPrbn/4K1kr w - - 0 1 1863
2QnR3/5K1P/5R1b/qNnBBn2/b1NnRPR1/5P1Q/kN1r2R1/2rb1b2 w - - 0 1 1921
3RnR2/r5N1/p2R1pNN/1rPQ2Q1/1Q4rn/B3K2b/qB3b1p/1Q1r2kB w - - 0 1 2006
1QbB4/BQ2KNb1/B4B2/R2Nr2N/r3pnB1/kb2q1r1/2r1n1RR/2n1R3 w - - 0 1 2028
1n1qk3/Rb1n3B/4Pp2/q1R1r3/2P1nP2/NQ2Q1RK/pB3bpN/1B4rb b - - 0 1 2043
1BNR2nB/QR1r4/NPQ2nBp/1qK5/Q4qk1/3P4/Nb2b3/r1R1Rrn1 w - - 0 1 2089
1K1n3b/1P2n1N1/1Q1N2B1/4Rp1b/1n1B2bp/Rk1b2Q1/q1rqn2r/5Br1 b - - 0 1 2198
2BQQ1Q1/2B1nR2/N2nr1r1/pqR2rrN/R2P1q2/1Q1R2r1/1PN4k/K7 w - - 0 1 2287
B2R1b2/1b3Q2/2PNrR1p/Qp2nrkp/3q4/n1Qp2NB/2bb3B/r2bK3 w - - 0 1 2292
N1nb1R2/1k1K3b/2N2Q2/2Rq2BB/4Nrr1/q1rB4/2RpbbN1/1q1nQ1r1 w - - 0 1 2351
q2b2rQ/q1b5/1QRP2Rn/nb1N3K/1Bb1b1n1/r6n/B2QQ1p1/1Q1N3k b - - 0 1 2661
This still does not give a good estimate for the fraction of legal chess positions that are drawn, since these positions are very different from positions appearing in normal games, so engines have not been optimized for them. Hence evaluation can be very wrong and search may not find the required tactics.
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Uri Blass
Posts: 10770
Joined: Thu Mar 09, 2006 12:37 am
Location: Tel-Aviv Israel

Re: idea to estimate the percentage of drawn positions in chess

Post by Uri Blass »

petero2 wrote: ↑Wed Apr 23, 2025 10:16 pm
petero2 wrote: ↑Mon Apr 21, 2025 7:27 pm I extracted 1000 random positions from the set of 112754 random legal positions I mentioned before. I then analyzed them with stockfish. In 702 positions stockfish found a forced mate.
I analyzed each position with Stockfish 17.1 for 2 minutes using 15 cores. Together with results already posted the status is now:
  • 2 positions are proven draws
  • 727 positions are proven mate
  • 271 positions are unknown
The remaining positions are:

Code: Select all

1B5Q/2qNK1Qp/1P1pn3/1Q1r3P/2RNn1r1/Q1qR4/1bb1nQ1b/2k1N1r1 b - - 0 1 0
1b1B2NQ/nQ1R3B/bBqqr3/Nk1r1rRR/3r4/rN5K/4nqP1/2QR4 w - - 0 1 0
1b1r2B1/n1Q1nq2/Pnr1q1Nk/5B1B/2QR4/P2K1RNp/q3PNb1/2B4N b - - 0 1 0
2Qn1B1K/2Rqn2P/R1B3PN/b1B2p2/nNr1nn2/p4k2/P1B4B/QrN5 b - - 0 1 0
2bN3K/1RR3RR/1P1n2N1/pkr2n2/1rn4p/b4Q1R/1B2Bq1q/RRnq4 b - - 0 1 0
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N1Q3rq/2NB2k1/rKB1Bpq1/1BB3p1/q2qr2Q/r5N1/5n2/1bRB2n1 w - - 0 1 937
r3R3/2p3r1/4q1Bk/1n1KRRr1/QBP3qq/P2Q1nBR/bN1N1nB1/3R4 w - - 0 1 942
5rB1/1r1n1B1p/p4r1Q/q2r1r1N/1kP1NP1n/RP4N1/bN2q2P/5K2 w - - 0 1 943
k2q1QBb/P1R4K/1n4n1/2p1p1R1/1p4B1/2QNQ1rn/r4N2/N1N1nB1b b - - 0 1 944
8/1Qp1bqpb/Bb4PN/b2b4/2qNQ1n1/Pr2N2P/RkP1RPK1/4N3 b - - 1 2 946
R1nb4/1B1n2N1/3kpp1r/qB3Br1/2Q1KP1B/N1P5/2QnPB2/n2Rb1nb w - - 0 1 946
B1r1r2Q/1b2prb1/1R3n1p/q2q2P1/1Q1RRPN1/1Q2n2k/R1N3b1/3K1nB1 w - - 0 1 960
B2n2Q1/2P1RKB1/2bp1p1p/2n1b1pk/7B/1r1b1qrP/1PNQP1nN/5N2 w - - 0 1 962
1Bn3k1/5pp1/K1BRbPPq/B7/nPrBr3/2RB2Q1/2b2N2/n1rq1bR1 b - - 1 2 964
B1n2k2/1N6/bB1R3B/3B1K1b/bRRb1pBq/2P3q1/Rb1N2rQ/4rb1n b - - 0 1 964
2Qn1Bn1/rb2q1N1/1N4b1/1r1R4/kB4R1/2B2nNB/NK1bqqqR/2RR4 b - - 0 1 966
N1B1K1Rq/5rbP/4p2b/4N3/1q1r2Qq/Q5bR/brk1n1QQ/Bn4nr w - - 0 1 973
1q1rb1b1/1Qnn2N1/1R5R/kN2BBNn/p4R1b/P3Pr1q/3K1b2/QB4Q1 b - - 0 1 978
qRk3Nn/8/P3r3/pn2R1n1/1p1n3R/BP1Bn3/1bpK1QbR/2B1N1B1 b - - 0 1 978
2nr1Qnr/1NN1RRB1/2BR1R2/n1b3q1/P4b2/RR2PNqk/1B1K2b1/2n5 w - - 0 1 988
2BN3b/4Rpn1/7q/b1r2P1k/r4R1b/nNBN2n1/BbqqbRK1/1b1Q4 w - - 0 1 989
1kn2KR1/R1Pb2N1/1b1NR1rN/n3Q3/4B2B/b1q5/4Q2Q/NNq1bNn1 b - - 0 1 996
bn1q3q/RB4rk/p3pbNr/2Q4n/2p2Pr1/7R/rbPK2B1/1BB2NN1 w - - 0 1 996
3knn2/1Qbq1r2/br4N1/qRqbB3/3p1BR1/qRRq4/2B2N2/1BbK2Q1 w - - 0 1 997
NQ2q3/1n2ppPn/2R1brn1/n3r3/NR1p1BK1/4rP2/kn1P1b1Q/3R2b1 w - - 1 2 1020
2Br2n1/r2b2r1/BbQ1q1Q1/Q3nb1k/1Q1p1B1n/1BN1R1Rb/K4P2/3N1n2 b - - 0 1 1021
r1n4b/N7/N3pBpk/R1r5/qPP1KN1R/pRr4r/3b1RP1/3bQN2 b - - 0 1 1026
2nb4/3qnNb1/BpN1B2q/2rnBP1k/b3bB1b/1QrQbQ2/8/5KQ1 b - - 0 1 1033
Rq1B2bQ/1Q1BK1Nr/n3bp2/1np1PR2/B1n1N2P/5qP1/3n4/2Q3kb b - - 0 1 1040
2B2bN1/2K1N1qk/n1NB4/1bn3B1/2NR1n1b/2qr2R1/2r4n/bn2QRR1 w - - 0 1 1052
3r1r2/1R1rN1Q1/1RQ2Q2/4r1NN/5rbN/1R1N1nb1/2BknRrB/1K2b1q1 b - - 0 1 1056
3R3r/k5K1/Pr3p2/QR1p4/r1NPNRq1/3nnq1N/2rn2BB/3qRb1b w - - 0 1 1057
3q2B1/B2B1q2/1npP1Q1R/P1k1R2p/2N2nnb/2p3qn/2R3br/NKN4r b - - 0 1 1063
KR2N3/1N1nNP2/1b2b3/2p2rbn/Bn1Q2r1/1P1r1B2/1P1q1R1B/k3Bq1Q w - - 0 1 1071
n5r1/B3Bkq1/KqQpNP2/n1rQ1n2/1BP3rN/6b1/b2P2Q1/q1rR2R1 w - - 0 1 1071
1r3n1K/q3B2P/Q1n5/nBP2R1Q/2b2Np1/4rrP1/3rRbq1/Nn1n2Bk b - - 0 1 1073
q2b2r1/3K1B2/1N3b1k/1p2B2N/1B1nP3/2R2Pp1/N2pb1Qp/r1QN2Qq b - - 0 1 1078
4Bb2/qPK5/1NQB1NrN/B7/n1p1N3/2q1N1rr/1Ppbr1k1/2nr1R2 b - - 0 1 1079
bK1n1Q1N/nbP1R2b/1p3P1q/1P2N3/2rqnq2/5BPk/BR2p3/n2N4 w - - 0 1 1094
1rQ2K2/R3N1r1/bbQ1rRR1/2nr4/BPQq1P1p/4pN2/k7/B2Q1b1r b - - 0 1 1098
1N4q1/Bn2br1k/p3N3/P2R1rNp/6Pb/Q1B3B1/3Qbq1N/1KR1nn1q b - - 0 1 1101
2RN2nB/4N3/5B1N/1qpB2BK/5B1B/1q1pb1Qq/nB1Pnp1r/2nk4 b - - 0 1 1110
r7/2K1n3/p1B1NQP1/5p1p/1R2B1bN/nrB2Pkb/1q1Q2b1/R1q1nb1B b - - 0 1 1110
1Nq4r/1Q1r1rNP/Q4R2/2Bn3B/1R2r2r/1qn2K1Q/1k1bpBb1/1rnQ4 w - - 0 1 1113
n3rnb1/4p3/4n1RR/4N3/2bRN2K/1NPbRP1B/3pN2n/rk1b2q1 w - - 0 1 1117
rrb1K3/1N1n2BB/4R1NB/rnP1r3/q7/2N2Bpq/k1B1R2Q/r4qQ1 b - - 0 1 1121
2k1BN1K/1qR3rb/3bNr2/1RBb4/n1pQ4/QBP1n2Q/P5n1/Q1qn1R2 b - - 0 1 1123
2b1QR1N/N2R1n2/1bR5/5P2/bp2qRKQ/q4n1N/kqB5/q1rQBN1r b - - 0 1 1134
4B1n1/K2Q1R2/1P1Pq3/6P1/Nn2N2n/1bP2qr1/rnq1Nk1N/N2R2Rr b - - 0 1 1134
1K2Brk1/Q3b1P1/1p1NR2q/B5qr/1n1p2B1/Q3n1B1/B1bqR1rr/N4r2 b - - 0 1 1141
N1BBK1Q1/2Q2nBn/5PqR/r3NP2/4qb2/2pNRn1Q/b3b1kn/N4r2 b - - 0 1 1141
1R3qK1/1B1P1Q2/Q1Q2N2/p3B2R/n2rnr2/5r2/q2q1qN1/kNbqQ2b w - - 0 1 1144
N2r2NB/1PP5/1RKn2r1/B1bppkP1/R2Q1b1R/Bpn3r1/R2q2r1/8 w - - 0 1 1149
3Nk1nn/1r6/3b3N/3bPRp1/K4R1R/2PB1rb1/Qn1Qn1Pr/B3Q1bQ w - - 0 1 1154
qqr2rn1/2R3nR/3b2r1/Q3qBrb/R5nq/Q1Q2b1k/KB2pB1R/8 b - - 0 1 1154
3q4/P1K3B1/1p1Qr2R/BP1B1p2/k3bRN1/1q1rNb2/q2nPrQ1/b1n4R w - - 0 1 1159
4qR1k/3bp2r/2BBp3/Q1KPb3/1Npr1RBN/1bB1N1b1/3PQ1n1/1N5n b - - 0 1 1161
r3B1q1/2Nb2Nk/Qb1K2pN/8/5QR1/1PB4P/N1qp1QRB/nq1q3r b - - 0 1 1165
3qR1q1/R6k/2q1p3/1rbQN1R1/2BBb2b/1PP1rpp1/K3nP1b/2N2rB1 b - - 0 1 1166
3bQrR1/6nb/q4nr1/1Q1pQpkq/1N1R1n2/RpKPb3/6N1/1B1qn3 w - - 0 1 1168
1nQr2B1/n1R4N/B1R2bbk/1R1K1Qr1/1b2Q1b1/2b1p2q/p3p2p/4n2R w - - 0 1 1176
1rr2b1k/3p2B1/K3Rb2/1r5B/1B1Q4/2nRPNrQ/2Q2Qb1/n2Bn1rR b - - 0 1 1178
1Br1r3/rBQ1n3/rB2r1N1/b3b2b/qP1N1k2/R2r3n/K3B1B1/2N2bb1 b - - 0 1 1182
NK1q1B2/1BRB2Q1/3b1Q2/2qn1RP1/P1k1N3/n2p1n1q/1q1P1p2/nn4Q1 w - - 0 1 1190
7k/p3Kn1q/1B2P2r/5rB1/r2Qp1pN/2B2R1R/1bPn1N2/nn1nN1B1 b - - 0 1 1201
2k1r1r1/p1Bp1p2/3P2N1/2Q2qR1/1n3rn1/1K1qQP2/3Pq1BN/RQ1R1NB1 w - - 0 1 1202
2nK4/3R1b2/2NRqN2/QQrN1Nq1/3BB1nk/P1N2PNr/3rR3/2bn3r b - - 0 1 1206
bK3B2/2BR1n1R/3B4/2q3N1/1B1QBpp1/1r2P2b/RQnrk3/1n2bBn1 b - - 0 1 1206
2b2NK1/3QB3/NPQ1r3/n1P1N3/3rB2r/1N1Pnnb1/k1P3r1/1b1RB1b1 b - - 0 1 1207
Q1QN2RK/3RqB2/qp4pQ/4nB2/2pQ2P1/k1PB4/N1rnq3/1b1r1Nb1 b - - 0 1 1212
3Q4/r3Nq2/1P1nkB1n/KR2p3/1N1qb3/R1N1Pn2/1Nb1qpBp/2br1Q2 w - - 0 1 1215
b5bR/1Rr4B/3qn3/3Rr1B1/Kp1r3Q/RPNQ2nr/nq1Q3b/3qN2k w - - 0 1 1215
nk1R2R1/R2q1q2/Pp1RQB2/P7/3Rq1B1/1r1pbbPK/1n1Np3/4q3 b - - 0 1 1215
6Rb/n1r3P1/3R1pkq/rr5R/b1NQNbn1/bN3r2/2NKQrBB/7Q w - - 0 1 1224
n1B2nr1/1b1RpPPN/P4r1b/2Q2n1p/b5Pq/K1q1P1R1/N6k/3b2RB w - - 0 1 1233
Rqkr4/1q2qp1P/pP2bnP1/P7/2PQ3r/KB3R2/1pR5/B1n1rb1Q w - - 0 1 1237
2B3R1/N2n2r1/3r1k2/pn1n1p1N/K1Qb1n2/1BPR1n2/2Q1bp2/2qr2Q1 b - - 0 1 1244
1b1NR1nn/2kBB1r1/2N2n1q/1q2b2N/b1R1RR1N/4n2r/3nP2N/K3BQ2 w - - 0 1 1252
5RBq/2BRpBB1/N1K1B3/2bP2r1/1Rpqkp2/1r1n1q2/1N5b/2Q1Q2n b - - 0 1 1252
1q4R1/QNpn2B1/b1P2R2/1rr2bRB/3P3R/1k2BpK1/1nbb2Bn/2Q1b3 w - - 0 1 1257
q1N5/P2kq2q/2r2Qq1/QbPN1R1p/2KbP2n/3n4/2R2q1R/B1N3nb w - - 0 1 1272
RrNbR3/b7/nNkrQ3/K1nr3B/2b1p2p/1R1nN2p/3RPNqq/2b5 w - - 0 1 1273
r2kBNr1/1pr1R3/nB2b2N/q3R1BK/1N5p/4q2r/1QqR3n/2Brn3 b - - 0 1 1277
2bQq3/2Pb4/1Bnppr2/QQ6/N1R4P/1KPNb1q1/4BQqk/N2R1B2 b - - 0 1 1279
5N2/b2KQn1p/3QN3/1r1BBqPp/kr1rnNB1/1r6/bRQ2pR1/2n3q1 b - - 0 1 1287
B1QB1R2/5rp1/1K1bbrPQ/Bn4kr/Nr2R1b1/3P1B2/4Nrnp/2N3q1 b - - 0 1 1299
2QB2R1/3Pr1q1/1K1R2N1/1bp3rb/b2N1qn1/2n1n3/N2R2n1/1R1rb1bk w - - 0 1 1301
6NN/br1Kb1BQ/p2QB3/2P2bp1/Rr1pPn2/1r1RNk1r/2qn4/2N3r1 w - - 0 1 1304
nb2rr1k/3RB3/1nr4P/2RBbB2/Bn1NK1Bq/1b2Q3/nBN3Q1/4RQ2 w - - 0 1 1312
4bQ2/n1PNbn1K/kNrR2p1/2q2Q2/1b1BNR1P/2P2p2/4PP1r/1q2qb2 b - - 0 1 1316
Br1qQq1R/R2B4/N7/rQb1pPn1/2p5/B1n2b1P/1r2r2K/1bkN2NR w - - 0 1 1320
4N3/3R1qq1/NB1NB1q1/K1N4r/2B2q1r/BR1Q3B/2k2qbn/2bqnR1n b - - 0 1 1321
1R5K/N1Q5/2BBNNp1/1r2n2Q/Q3Pp2/RP2NqkB/pr4pn/2n1b3 b - - 0 1 1325
Q1nr1R2/n1b2Rr1/1Qnq2P1/3Rrb1k/B6B/1p6/Qb3P1N/1KN1N1q1 w - - 0 1 1326
2KQR1N1/R3r2p/3N1pRP/R2n1Pp1/B6q/2P1BnP1/2bqqkq1/b1n3N1 b - - 0 1 1328
1N2qr1b/p1Q1PQ1q/1Rq4N/1R4rn/1P3nN1/PnQp2Pb/1k4B1/b4K2 b - - 0 1 1335
Q1rk2n1/3Bbr2/b1R1pn2/n5B1/1rb3P1/7p/4QRN1/1KBrBBQQ w - - 0 1 1342
4BQb1/2rBR3/nk1Rq2n/1Np4K/q1qnpP2/1PB1B2b/rb6/2Nn2b1 b - - 0 1 1355
2Q1b1N1/1Q2q1B1/1rQK2N1/3n1B1q/1pB4R/Q1n3p1/2b1n2P/RrqB2k1 w - - 0 1 1362
1B2k2b/4rB1n/KQ1R2n1/N5Rb/q2P4/1r2B1bq/Pr1QBNq1/R2n3Q b - - 0 1 1372
1QNR4/2q1PnQ1/1BrpRqQ1/n2r4/1Bk1P2P/n2P1BB1/4r3/q5NK b - - 0 1 1444
n1q3nb/2N4R/RNKn1k2/5P2/r1bPR3/n2bqBPR/1Q2RN2/1bR5 w - - 0 1 1461
2nB3b/q4QN1/q5b1/p2BrBK1/N4B1r/bR2r3/BNbpB1kn/5n2 b - - 0 1 1476
Q1qNr3/1Q2Nbp1/R2q1NQ1/1pPn2BK/1B2BB2/1b3r2/n1P5/k2B4 w - - 0 1 1482
2qRNQb1/r6r/Qb2Nb1R/1rb2NP1/1B2R3/b4bR1/1pn3BN/k3K1n1 w - - 0 1 1489
8/kQ1p1KB1/2RPr1p1/1r4q1/6N1/1nbN1RQn/1pnNbrb1/1nn1R2N b - - 0 1 1526
q4B1Q/BrR1bP2/1nb2rnQ/4Q1br/N6k/1B5p/K2N1PQ1/R3qr1n b - - 0 1 1548
bb2QK2/n1rN4/4q2p/1rB3Pp/2RB1Pk1/6Q1/1rrn2br/1RNbrB2 b - - 0 1 1565
1bRN4/3q4/N1KQ4/1P1p1Q2/1Q1Pb2q/2nb2Rr/1pq1p2N/q1nrk3 w - - 0 1 1568
1B1R2Rr/q3BP1b/n3p3/1B1NN2P/2Kn1r1q/2N4Q/2n3N1/1rBknR2 b - - 0 1 1572
5B1Q/1rNq3b/N6B/1bK1B2Q/Rn4P1/pNkP1n1p/1N2bRn1/6B1 b - - 0 1 1583
1R1n2N1/K1p3Np/1P2q1P1/2P5/bbN1p2N/nrNr3P/r1Q1r3/kNq5 w - - 0 2 1642
3B2Q1/kN2p3/4K3/nRb2RNP/q1NrPp2/nb1R4/1q1PQ1P1/2BB1rn1 w - - 0 1 1694
1bR1Qr2/2RNp2p/p1K1B3/2prQpR1/4n3/rP2rBQ1/P2Q4/1k2q2n b - - 0 1 1701
3Qrn2/2p2rR1/2np3B/1NP1b2P/b2n2P1/1Qn3nK/RbQP3N/6k1 b - - 0 1 1703
N1krq1R1/qrbr4/R2b2Qb/4R1n1/2B2Nb1/KNpN4/1n1n3Q/2B3qN w - - 0 1 1722
1B2B1q1/1R1Pq2B/1p1pnq1R/BQ2N2R/2KP1rkN/7q/1B5Q/3Rr1bn b - - 0 1 1770
bRKR2q1/2QBP3/2Qp1Rk1/pN2n3/P4b1n/1q1qq2q/1r1P2n1/1bBN1r2 b - - 0 1 1790
2bq1RN1/2Rr2b1/2B2p2/1nRn1KBr/B1Q4N/bP6/2rR2bq/1RBq1k2 b - - 0 1 1801
1BqQK3/3RBn2/prB1p2R/r3B3/1P2B1n1/rB3Pq1/4B3/1qq1qk2 b - - 0 1 1804
1BNqR1Q1/b2Q1NRr/3P2n1/3b1B1r/QQ6/PQ1P4/3nPrbn/4K1kr w - - 0 1 1863
2QnR3/5K1P/5R1b/qNnBBn2/b1NnRPR1/5P1Q/kN1r2R1/2rb1b2 w - - 0 1 1921
3RnR2/r5N1/p2R1pNN/1rPQ2Q1/1Q4rn/B3K2b/qB3b1p/1Q1r2kB w - - 0 1 2006
1QbB4/BQ2KNb1/B4B2/R2Nr2N/r3pnB1/kb2q1r1/2r1n1RR/2n1R3 w - - 0 1 2028
1n1qk3/Rb1n3B/4Pp2/q1R1r3/2P1nP2/NQ2Q1RK/pB3bpN/1B4rb b - - 0 1 2043
1BNR2nB/QR1r4/NPQ2nBp/1qK5/Q4qk1/3P4/Nb2b3/r1R1Rrn1 w - - 0 1 2089
1K1n3b/1P2n1N1/1Q1N2B1/4Rp1b/1n1B2bp/Rk1b2Q1/q1rqn2r/5Br1 b - - 0 1 2198
2BQQ1Q1/2B1nR2/N2nr1r1/pqR2rrN/R2P1q2/1Q1R2r1/1PN4k/K7 w - - 0 1 2287
B2R1b2/1b3Q2/2PNrR1p/Qp2nrkp/3q4/n1Qp2NB/2bb3B/r2bK3 w - - 0 1 2292
N1nb1R2/1k1K3b/2N2Q2/2Rq2BB/4Nrr1/q1rB4/2RpbbN1/1q1nQ1r1 w - - 0 1 2351
q2b2rQ/q1b5/1QRP2Rn/nb1N3K/1Bb1b1n1/r6n/B2QQ1p1/1Q1N3k b - - 0 1 2661
This still does not give a good estimate for the fraction of legal chess positions that are drawn, since these positions are very different from positions appearing in normal games, so engines have not been optimized for them. Hence evaluation can be very wrong and search may not find the required tactics.
Stockfish is not best to find mates

slowchess see that the 2661 is forced mate in less than 2 minutes with a slower hardware:
I am practically sure 2351 is also a forced mate but slowchess could not prove it in a few minutes but I see that score is increasing from the view point of black.

FEN: q2b2rQ/q1b5/1QRP2Rn/nb1N3K/1Bb1b1n1/r6n/B2QQ1p1/1Q1N3k b - - 0 1

Slow64-avx2 [001]:

19/41+ 00:48 302,755k 6,205k +M249 Be4xg6+
19/41- 00:49 304,495k 6,207k +M250 Be4xg6+ Qb1xg6
20/41 00:53 329,383k 6,202k +47.84 Be4xg6+ Qb1xg6 Ng4-f6+ Qh8xf6 Bc4xe2+ Kh5xh6 Rg8xg6+ Qf6xg6 Bd8-g5+ Kh6-h7 Bc7xb6+ Rc6-c7 Bg5xd2 Bb4-c5 Be2-d3 Nd5-e7 Bd3xg6+ Ne7xg6 Bb6xc5 Ba2-b3 Nh3-g5+ Kh7-h6 Ng5-e6+ Nd1-e3 Bd2xe3+ Kh6-h7 Bc5xd6 Rc7-e7 Bd6xe7
21/41+ 00:55 340,574k 6,161k +M19 Be4xg6+
21/41- 01:06 407,119k 6,167k +M250 Be4xg6+ Qb1xg6
22/41 01:15 463,802k 6,132k +M18 Be4xg6+ Qb1xg6 Ng4-f6+ Qh8xf6 Bc4xe2+ Kh5xh6 Rg8xg6+ Qf6xg6 Bd8-g5+ Qd2xg5 Qa8-h8+ Qg6-h7 Qh8xh7+ Kh6xh7 Nh3xg5+ Kh7-g6 Bc7xb6 Nd1-f2+ Bb6xf2 Rc6-c1+ Kh1-h2 d6-d7 Bb5-d3+ Kg6-h6 Qa7-d4 Bb4-d6+ Bf2-g3 Rc1-h1+ g2xh1Q Bd6-e5 Qd4xe5 Nd5-f4 Bg3xf4 d7-d8Q Ng5-f7+
23/41 01:30 546,447k 6,013k +M18 Be4xg6+ Qb1xg6 Ng4-f6+ Qh8xf6 Bc4xe2+ Kh5xh6 Rg8xg6+ Qf6xg6 Bd8-g5+ Qd2xg5 Qa8-h8+ Qg6-h7 Qh8xh7+ Kh6xh7 Nh3xg5+ Kh7-g6 Bc7xb6 Nd1-f2+ Bb6xf2 Rc6-c1+ Kh1-h2 d6-d7 Bb5-d3+ Kg6-h6 Qa7-d4 Bb4-d6+ Bf2-g3 Rc1-h1+ g2xh1Q Bd6-e5 Qd4xe5 Nd5-f4 Bg3xf4 d7-d8Q Ng5-f7+
23/41+ 01:30 546,448k 6,013k +M17 Ng4-f6+
23/41 01:33 557,652k 5,994k +M17 Ng4-f6+ Qh8xf6 Bc4xe2+ Kh5xh6 Rg8xg6+ Qf6xg6 Bd8-g5+ Kh6-h7 Be4xg6+ Qb1xg6 Bc7xb6+ d6-d7 Qa7xd7+ Nd5-e7 Bg5xd2 Nd1-f2+ Nh3xf2 Qg6xg2+ Kh1xg2 Ba2-d5+ Qd7xd5 Rc6-g6+ Nf2-g4 Rg6xg4+ Be2xg4 Ne7xd5 Ra3-h3+ Kh7-g7 Qa8-h8+ Kg7-f7 Rh3-h7+ Kf7-g6 Qh8-g7+
24/41 01:45 615,983k 5,864k +M17 Ng4-f6+ Qh8xf6 Bc4xe2+ Kh5xh6 Rg8xg6+ Qf6xg6 Bd8-g5+ Kh6-h7 Be4xg6+ Qb1xg6 Bc7xb6+ d6-d7 Qa7xd7+ Nd5-e7 Bg5xd2 Nd1-f2+ Nh3xf2 Qg6xg2+ Kh1xg2 Ba2-d5+ Qd7xd5 Rc6-g6+ Nf2-g4 Rg6xg4+ Be2xg4 Ne7xd5 Ra3-h3+ Kh7-g7 Qa8-h8+ Kg7-f7 Rh3-h7+ Kf7-g6 Qh8-g7+
24/41+ 02:05 735,449k 5,849k +M16 Be4xg6+


the second 0.00 is a forced mate for black
[d]1b1B2NQ/nQ1R3B/bBqqr3/Nk1r1rRR/3r4/rN5K/4nqP1/2QR4 w - - 0 1

Stockfish_10_x64_popcnt:
1/1 00:00 7k 2,173k +2.75 Rd7xd6 Ba6xb7 Na5xc6 Ra3xb3+ Kh3-h2 Ne2xc1 Rd1xc1
2/2 00:00 10k 3,247k +9.20 Rd7xd6 Ba6xb7
3/3 00:00 11k 3,571k +9.25 Rd7xd6 Ba6xb7 Bb6xd4
4/5 00:00 25k 4,085k +0.65 Rd7xd6 Ra3xb3+ Na5xb3 Re6-e3+ Qc1xe3
5/7 00:00 28k 4,697k +0.65 Rd7xd6 Ra3xb3+ Na5xb3 Re6-e3+ Qc1xe3 Qf2xe3+ g2-g3
6/3 00:00 29k 4,864k +3.43 Rd7xd6 Re6-e3+ Qc1xe3 Qf2xe3+ g2-g3 Qc6xd6
7/12 00:00 73k 7,266k +8.86 Qb7xc6+ Na7xc6 Rd7xd6 Re6-e3+ Qc1xe3 Qf2xe3+ g2-g3 Ne2-f4+ Kh3-h4
8/12 00:00 85k 7,059k +8.70 Bb6xd4+ Ba6xb7 Rd7xb7+ Kb5-a4 Qc1xa3+ Qd6xa3 Bd4xf2 Ne2-f4+ Kh3-g4 Rf5xg5+ Bd8xg5 Rd5xg5+ Rh5xg5
9/19 00:00 179k 7,449k +7.89 Bb6xd4+ Ba6xb7 Rd7xb7+ Kb5-a4 Qc1xa3+ Qd6xa3 Na5xc6 Ne2xd4 Rd1xd4+ Rd5xd4 Qh8xd4+ Qf2xd4 Nc6xd4
10/19 00:00 563k 8,401k -6.06 Bb6xd4+ Ba6xb7 Rd7xb7+ Kb5-a4 Qc1xa3+ Qd6xa3 Bd4xf2 Rd5xd1 Rg5-g4+ Re6-e4 g2-g3 Rf5xh5+ Bd8-h4
11/23 00:00 620k 8,382k -5.86 Bb6xd4+ Ba6xb7 Rd7xb7+ Kb5-a4 Qc1xa3+ Qd6xa3 Bh7xf5 Rd5xd4 Rd1xd4+ Ne2xd4 Qh8xd4+ Qf2xd4 Na5xc6
12/19 00:00 769k 8,638k -1.14 Bb6xd4+ Ba6xb7 Rd7xb7+ Kb5-a4 Qc1xa3+ Qd6xa3 Rb7-b4+ Qa3xb4 Rd1-a1+ Ka4-b5 Bd4xf2 Rd5-d3+ g2-g3 Ne2-f4+ Kh3-h4 Rd3xd8
13/33 00:00 1,504k 9,522k 0.00 Bb6xd4+ Ba6xb7 Rd7xd6 Ra3xb3+ Na5xb3 Qc6xd6 Qc1-c4+ Kb5xc4 Nb3-d2+ Kc4-b4 Rd1-b1+ Kb4-a4 Rb1-a1+ Ka4-b5 Ra1-b1+
14/23 00:00 1,826k 9,763k 0.00 Bb6xd4+ Ba6xb7 Rd7xd6 Ra3xb3+ Na5xb3 Qc6xd6 Qc1-c4+ Kb5xc4 Nb3-d2+ Kc4-b4 Rd1-b1+ Kb4-a4 Rb1-a1+ Ka4-b5 Ra1-b1+
15/16 00:00 2,506k 10,063k 0.00 Bb6xd4+ Ba6xb7 Rd7xd6 Ra3xb3+ Na5xb3 Qc6xd6 Qc1-c4+ Kb5xc4 Nb3-d2+ Kc4-b4 Rd1-b1+ Kb4-a4 Rb1-a1+ Ka4-b4
16/30 00:00 8,112k 10,053k -5.80 Bb6xd4+ Ba6xb7 Rd7xd6 Qc6xc1 Rd1xc1 Rf5-f3+ Kh3-h2 Bb8xd6+ Bd4-e5 Bd6xe5+ Rg5xe5 Qf2-g3+ Kh2-h1 Rd5xe5 Nb3-d4+ Ne2xd4 Bh7-d3+ Ra3xd3 Na5xb7 Re5xh5+ Qh8xh5+ Re6-e5 Qh5-h4 Qg3xh4+ Bd8xh4 Re5-h5 g2xf3 Rh5xh4+ Kh1-g2
17/33- 00:04 52,066k 10,908k -9.91 Bb6xd4+ Ba6xb7
17/33- 00:06 71,478k 11,061k -11.21 Bb6xd4+ Ba6xb7
17/33 00:07 83,126k 11,156k -11.56 Bb6xd4+ Ba6xb7 Rd7xd6 Qc6xc1 Rd1xc1 Rf5-f3+ Kh3-h2 Bb8xd6+ Rg5-e5 Qf2-g3+ Kh2-h1 Bd6xe5 Bh7-d3+ Rf3xd3 Qh8-h7 Ne2xc1 Qh7xb7+ Kb5-a4 Bd4-g1 Nc1xb3 Na5xb3 Na7-c6 Rh5-h4+ Be5-f4 Nb3-c5+ Rd5xc5 Qb7-a6+ Ka4-b4 Bg1xc5+ Kb4xc5
18/25- 00:09 107,030k 11,334k -11.65 Bb6xd4+ Ba6xb7
18/25- 00:10 114,488k 11,353k -11.75 Bb6xd4+ Ba6xb7
18/32- 00:21 253,104k 11,822k -14.64 Bb6xd4+ Ba6xb7
18/32+ 00:21 254,064k 11,825k -12.91 Bb6xd4+
18/32- 00:23 280,671k 11,907k -15.67 Bb6xd4+ Ba6xb7
18/37+ 00:24 297,329k 11,955k -13.62 Bb6xd4+
18/37 00:26 313,317k 12,010k -15.76 Bb6xd4+ Ba6xb7 Qc1xc6+ Na7xc6 Rd7xd6 Nc6xd4 Qh8xd4 Ne2xd4 g2-g3 Bb8xd6 Na5xb7 Ra3xb3 Nb7xd6+ Re6xd6 Rd1-d2 Rb3xg3+ Rg5xg3 Rf5xh5+ Bd8-h4 Qf2xd2 Bh7-d3+ Kb5-c5 Ng8-e7 Qd2-f4
19/30- 00:28 347,958k 12,029k -15.86 Bb6xd4+ Ba6xb7
19/30- 00:29 359,289k 12,051k -15.96 Bb6xd4+ Ba6xb7
19/33- 00:36 439,901k 12,090k -16.94 Bb6xd4+ Ba6xb7
19/33+ 00:36 441,685k 12,091k -16.62 Bb6xd4+
19/39+ 00:36 443,121k 12,089k -11.11 Bb6xd4+
19/39 00:36 443,128k 12,089k -11.42 Bb6xd4+ Ba6xb7 Rd7xd6 Qc6xc1 Rd1xc1 Rf5-f3+ Kh3-h2 Bb8xd6+ Rg5-e5 Qf2-g3+ Kh2-h1 Bd6xe5 Bh7-d3+ Rf3xd3 Qh8-h7 Ne2xc1 Qh7xb7+ Kb5-a4 Bd4-g1 Nc1xb3 Na5-c4
20/27 00:37 450,461k 12,106k -11.42 Bb6xd4+ Ba6xb7 Rd7xd6 Qc6xc1 Rd1xc1 Rf5-f3+ Kh3-h2 Bb8xd6+ Rg5-e5 Qf2-g3+ Kh2-h1 Bd6xe5 Bh7-d3+ Rf3xd3 Qh8-h7 Ne2xc1 Qh7xb7+ Kb5-a4 Bd4-g1 Nc1xb3 Na5-c4 Rd5xd8 Qb7xa7+ Ka4-b4 Qa7xa3+ Kb4xc4 Ng8-h6
21/15- 00:37 459,464k 12,123k -11.51 Bb6xd4+ Ba6xb7
21/15- 00:38 465,223k 12,128k -11.61 Bb6xd4+ Ba6xb7
21/34- 00:55 687,906k 12,409k -18.48 Bb6xd4+ Ba6xb7
21/47 01:00 751,722k 12,476k -18.52 Bb6xd4+ Ba6xb7 Qc1xc6+ Na7xc6 Rd7xd6 Nc6xd4 Qh8xd4 Ne2xd4 g2-g3 Bb8xd6 Na5-c4 Kb5xc4 Bh7xf5 Nd4xf5 Bd8-b6 Qf2-f3 Nb3-a5+ Rd5xa5 Rd1-c1+ Kc4-d3 Rc1-g1 Ra5-b5 Rg5xf5 Rb5xf5 Rh5xf5 Qf3xf5+ Kh3-h2
22/34- 01:07 841,551k 12,548k -18.62 Bb6xd4+ Ba6xb7
22/36- 01:09 872,259k 12,577k -18.71 Bb6xd4+ Ba6xb7
22/43- 02:06 1,642,128k 13,003k -23.93 Bb6xd4+ Ba6xb7
22/43+ 02:10 1,696,068k 13,033k -22.86 Bb6xd4+
22/43 02:17 1,790,419k 13,062k -24.65 Bb6xd4+ Ba6xb7 Qc1xc6+ Na7xc6 Rd7xd6 Nc6xd4 Qh8xd4 Ne2xd4 g2-g3 Bb8xd6 Na5-c6 Re6-e3 Nb3xd4+ Kb5-a4 Nd4-f3 Bb7-c8 Rg5-g4+ Rf5-f4 Bh7-c2+ Qf2xc2 Rd1xd5 Bc8xg4+ Kh3-h4 Bg4xf3+ g3xf4 Qc2-h2+ Kh4-g5 Qh2xh5+ Kg5-f6 Bf3xd5 Ng8-e7 Bd6xf4 Ne7xd5 Qh5-g5+ Kf6-f7 Qg5xd5+ Kf7-f6 Qd5xc6+ Kf6-f5
23/41- 02:26 1,918,584k 13,094k -24.75 Bb6xd4+ Ba6xb7
23/41- 02:28 1,939,423k 13,068k -24.85 Bb6xd4+ Ba6xb7
23/41+ 02:29 1,947,109k 13,060k -24.56 Bb6xd4+
23/41- 02:30 1,959,925k 13,051k -24.99 Bb6xd4+ Ba6xb7
23/41+ 02:30 1,964,581k 13,048k -24.15 Bb6xd4+
23/41- 02:34 2,019,267k 13,051k -25.26 Bb6xd4+ Ba6xb7
23/41- 03:07 2,466,189k 13,171k -28.20 Bb6xd4+ Ba6xb7
23/41 03:23 2,685,991k 13,183k -29.27 Bb6xd4+ Ba6xb7 Qh8-e5 Qd6xe5 Bd4xe5 Rd5xd7 Qc1xc6+ Bb7xc6 Rg5xf5 Qf2xg2+ Kh3-h4 Bc6-d5 Rf5-f7 Rd7xf7 Rd1xd5+ Qg2xd5 Bh7-d3+ Kb5-a4 Ng8-f6 Qd5-h1+ Kh4-g5 Qh1-g2+ Nf6-g4 Re6xe5+ Kg5-h6 Re5xh5+ Kh6-g6 Qg2-d5 Nb3-c5+ Qd5xc5 Ng4-h6 Rh5xh6+ Kg6xf7 Ra3xd3 Na5-b7 Qc5-f2+ Kf7-e8 Ka4-b5
24/37- 03:28 2,755,100k 13,186k -29.37 Bb6xd4+ Ba6xb7
24/37- 03:29 2,757,708k 13,186k -29.47 Bb6xd4+ Ba6xb7
24/49- 03:58 3,159,945k 13,236k -32.36 Bb6xd4+ Ba6xb7
24/49+ 04:06 3,257,169k 13,201k -31.70 Bb6xd4+
24/49+ 04:07 3,271,156k 13,202k -26.60 Bb6xd4+
24/49- 04:11 3,318,693k 13,206k -33.38 Bb6xd4+ Ba6xb7
24/49 04:26 3,522,689k 13,208k -36.35 Bb6xd4+ Ba6xb7 Rd7xb7+ Kb5-a4 Qh8-e5 Qc6xc1 Bd4xf2 Qd6xe5 Rg5-g4+ Ne2-f4+ Kh3-h2 Rf5xh5+ Bd8-h4 Qc1xd1 Na5-c4 Qe5-e2 Rb7xb8 Qe2xc4 Ng8-f6 Re6xf6 Rb8-g8 Rh5xh7 Rg8-g7 Ka4xb3 Rg4-g3+ Nf4-d3 Rg7xh7 Rf6xf2 Rg3-g8 Rd5-h5 Rg8-b8+ Na7-b5 Rb8xb5+ Qc4xb5 Rh7xh5 Qd1xh5
25/41+ 04:36 3,652,422k 13,200k -36.06 Bb6xd4+
25/41+ 04:36 3,654,486k 13,201k -35.96 Bb6xd4+
25/41+ 04:37 3,661,739k 13,200k -30.53 Bb6xd4+
25/41 04:37 3,661,799k 13,200k -31.61 Bb6xd4+ Ba6xb7 Qh8-e5 Qd6xe5 Bd4xe5 Rd5xd7 Qc1xc6+ Bb7xc6 Rg5xf5 Qf2xg2+ Kh3-h4 Bc6-d5 Rf5-f7 Rd7xf7 Rd1xd5+ Qg2xd5 Bh7-d3+ Kb5-a4 Bd8-c7 Bb8xc7 Rh5-g5 Re6xe5
26/30- 04:41 3,717,453k 13,203k -31.70 Bb6xd4+ Ba6xb7
26/41- 04:42 3,735,778k 13,204k -31.80 Bb6xd4+ Ba6xb7
26/47- 05:07 4,066,834k 13,231k -38.67 Bb6xd4+ Ba6xb7
26/47+ 05:09 4,096,762k 13,236k -36.96 Bb6xd4+
26/47- 05:14 4,169,401k 13,243k -40.75 Bb6xd4+ Ba6xb7
26/47- 05:43 4,547,950k 13,256k -59.94 Bb6xd4+ Ba6xb7
26/47+ 05:43 4,558,670k 13,257k -52.83 Bb6xd4+
26/47- 05:44 4,562,448k 13,257k -68.32 Bb6xd4+ Ba6xb7
26/47- 05:45 4,580,226k 13,258k -81.16 Bb6xd4+ Ba6xb7
26/47+ 05:46 4,589,308k 13,259k -52.83 Bb6xd4+
26/47+ 05:48 4,625,107k 13,265k -32.72 Bb6xd4+
26/47- 05:48 4,627,375k 13,265k -98.65 Bb6xd4+ Ba6xb7
26/47- 05:52 4,671,842k 13,266k -M27 Bb6xd4+ Ba6xb7
26/47+ 06:43 5,354,961k 13,263k -86.68 Bb6xd4+
26/47+ 06:44 5,369,523k 13,262k -37.45 Bb6xd4+
26/47 06:47 5,401,428k 13,264k -M23 Bb6xd4+ Ba6xb7 Rd7xd6 Qc6xc1 Rd1xc1 Rf5-f3+ Kh3-h2 Bb8xd6+ Bd4-e5 Bd6xe5+ Qh8xe5 Re6xe5 Na5xb7 Rf3xb3 Bh7-d3+ Rb3xd3 Nb7-d6+ Kb5-a6 Nd6-e4 Rd3-h3+ Rh5xh3 Ra3xh3+ Kh2xh3 Ne2-f4+ Kh3-h2 Qf2-h4+ Kh2-g1 Nf4-e2+ Kg1-f1 Re5-f5+ Rg5xf5 Rd5xf5+ Kf1xe2 Qh4xe4+ Ke2-d2 Rf5-f2+ Kd2-c3 Na7-b5+ Kc3-b3 Qe4-e3+ Kb3-c4 Rf2-f4+ Kc4-d5 Rf4-d4+ Kd5-c6
27/45 07:06 5,661,173k 13,285k -M22 Bb6xd4+ Ba6xb7 Rd7xd6 Qc6xc1 Rd1xc1 Rf5-f3+ Kh3-h2 Bb8xd6+ Bd4-e5 Bd6xe5+ Qh8xe5 Re6xe5 Na5xb7 Rf3xb3 Bh7-d3+ Rb3xd3 Nb7-d6+ Kb5-a6 Nd6-e4 Rd3-h3+ Rh5xh3 Ra3xh3+ Kh2xh3 Ne2-f4+ Kh3-h2 Qf2-h4+ Kh2-g1 Nf4-e2+ Kg1-f1 Re5-f5+ Rg5xf5 Rd5xf5+ Kf1xe2 Qh4xe4+ Ke2-d2 Rf5-f2+ Kd2-c3 Na7-b5+ Kc3-b3 Qe4-d3+ Kb3-b4 Rf2-f4+ Rc1-c4 Rf4xc4+
28/39 07:27 5,950,535k 13,310k -M19 Bb6xd4+ Ba6xb7 Rd7xd6 Qc6xc1 Rd1xc1 Rf5-f3+ Kh3-h2 Bb8xd6+ Bd4-e5 Bd6xe5+ Qh8xe5 Re6xe5 Na5xb7 Rf3xb3 Bh7-d3+ Rb3xd3 Nb7-d6+ Kb5-a6 Nd6-e4 Rd3-h3+ Rh5xh3 Ra3xh3+ Kh2xh3 Ne2-f4+ Kh3-h2 Re5xg5 Rc1-a1+ Ka6-b7 Ra1-b1+ Na7-b5 Ne4xf2 Rg5xg2+ Kh2-h1 Rd5-h5+ Bd8-h4 Rh5xh4+ Nf2-h3 Rh4xh3+
29/39 08:02 6,435,219k 13,338k -M19 Bb6xd4+ Ba6xb7 Rd7xd6 Qc6xc1 Rd1xc1 Rf5-f3+ Kh3-h2 Bb8xd6+ Bd4-e5 Bd6xe5+ Qh8xe5 Re6xe5 Na5xb7 Rf3xb3 Bh7-d3+ Rb3xd3 Nb7-d6+ Kb5-a6 Nd6-e4 Rd3-h3+ Rh5xh3 Ra3xh3+ Kh2xh3 Ne2-f4+ Kh3-h2 Re5xg5 Rc1-a1+ Ka6-b7 Ra1-b1+ Na7-b5 Ne4xf2 Rg5xg2+ Kh2-h1 Rd5-h5+ Bd8-h4 Rh5xh4+ Nf2-h3 Rh4xh3+
30/37 08:39 6,939,942k 13,357k -M18 Bb6xd4+ Ba6xb7 Rd7xd6 Qc6xc1 Rd1xc1 Rf5-f3+ Kh3-h2 Bb8xd6+ Bd4-e5 Bd6xe5+ Qh8xe5 Re6xe5 Na5xb7 Rf3xb3 Nb7-d6+ Kb5-a6 Nd6-e4 Qf2-f4+ g2-g3 Qf4xc1 Rh5-h6+ Ka6-b7 Bd8-b6 Rb3xb6 Rg5-g7+ Kb7-a8 Rg7xa7+ Ka8xa7 Bh7-f5 Qc1-g1+ Kh2-h3 Qg1-h1+ Kh3-g4 Re5xe4+ Bf5xe4 Ra3xg3+
31/37 09:09 7,340,761k 13,358k -M18 Bb6xd4+ Ba6xb7 Rd7xd6 Qc6xc1 Rd1xc1 Rf5-f3+ Kh3-h2 Bb8xd6+ Bd4-e5 Bd6xe5+ Qh8xe5 Re6xe5 Na5xb7 Rf3xb3 Nb7-d6+ Kb5-a6 Nd6-e4 Qf2-f4+ g2-g3 Qf4xc1 Rh5-h6+ Ka6-b7 Bd8-b6 Rb3xb6 Rg5-g7+ Kb7-a8 Rg7xa7+ Ka8xa7 Bh7-f5 Qc1-g1+ Kh2-h3 Qg1-h1+ Kh3-g4 Re5xe4+ Bf5xe4 Ra3xg3+
32/37 09:59 8,025,564k 13,386k -M18 Bb6xd4+ Ba6xb7 Rd7xd6 Qc6xc1 Rd1xc1 Rf5-f3+ Kh3-h2 Bb8xd6+ Bd4-e5 Bd6xe5+ Qh8xe5 Re6xe5 Na5xb7 Rf3xb3 Nb7-d6+ Kb5-a6 Nd6-e4 Qf2-f4+ g2-g3 Qf4xc1 Rh5-h6+ Ka6-b7 Bd8-b6 Rb3xb6 Rg5-g7+ Kb7-a8 Rg7xa7+ Ka8xa7 Bh7-f5 Qc1-g1+ Kh2-h3 Qg1-h1+ Kh3-g4 Re5xe4+ Bf5xe4 Ra3xg3+
33/37 11:28 9,235,454k 13,420k -M18 Bb6xd4+ Ba6xb7 Rd7xd6 Qc6xc1 Rd1xc1 Rf5-f3+ Kh3-h2 Bb8xd6+ Bd4-e5 Bd6xe5+ Qh8xe5 Re6xe5 Na5xb7 Rf3xb3 Nb7-d6+ Kb5-a6 Nd6-e4 Qf2-f4+ g2-g3 Qf4xc1 Rh5-h6+ Ka6-b7 Bd8-b6 Rb3xb6 Rg5-g7+ Kb7-a8 Rg7xa7+ Ka8xa7 Bh7-f5 Qc1-g1+ Kh2-h3 Qg1-h1+ Kh3-g4 Re5xe4+ Bf5xe4 Ra3xg3+
34/37 12:15 9,876,611k 13,428k -M18 Bb6xd4+ Ba6xb7 Rd7xd6 Qc6xc1 Rd1xc1 Rf5-f3+ Kh3-h2 Bb8xd6+ Bd4-e5 Bd6xe5+ Qh8xe5 Re6xe5 Na5xb7 Rf3xb3 Nb7-d6+ Kb5-a6 Nd6-e4 Qf2-f4+ g2-g3 Qf4xc1 Rh5-h6+ Ka6-b7 Bd8-b6 Rb3xb6 Rg5-g7+ Kb7-a8 Rg7xa7+ Ka8xa7 Bh7-f5 Qc1-g1+ Kh2-h3 Qg1-h1+ Kh3-g4 Re5xe4+ Bf5xe4 Ra3xg3+
35/37 13:16 10,703,412k 13,444k -M18 Bb6xd4+ Ba6xb7 Rd7xd6 Qc6xc1 Rd1xc1 Rf5-f3+ Kh3-h2 Bb8xd6+ Bd4-e5 Bd6xe5+ Qh8xe5 Re6xe5 Na5xb7 Rf3xb3 Nb7-d6+ Kb5-a6 Nd6-e4 Qf2-f4+ g2-g3 Qf4xc1 Rh5-h6+ Ka6-b7 Bd8-b6 Rb3xb6 Rg5-g7+ Kb7-a8 Rg7xa7+ Ka8xa7 Bh7-f5 Qc1-g1+ Kh2-h3 Qg1-h1+ Kh3-g4 Re5xe4+ Bf5xe4 Ra3xg3+
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towforce
Posts: 12298
Joined: Thu Mar 09, 2006 12:57 am
Location: Birmingham UK
Full name: Graham Laight

Re: idea to estimate the percentage of drawn positions in chess

Post by towforce »

Uri Blass wrote: ↑Thu Apr 24, 2025 1:06 amStockfish is not best to find mates..

Most of these positions are not going to have checkmates that can be found with today's technology.

We are looking for an ESTIMATE of the drawn position ratio here. My plan (previously stated in this thread) is:

1. Choose an engine, and how much time it will be allowed to look at each position

2. Choose an evaluation score (ES) at which 50% of the games above that score ended in a draw and 50% ended in a loss

3. If a position lies between -ES and ES, call it a draw, otherwise call it a win

4. The errors in the win-which-is-a-draw direction will be approximately equal to the errors in the draw-which-is-a-win direction

This method is good enough for an estimate.
Yesterday, upon the stair,
I met a man who wasn't there!
He wasn't there again today,
I wish, I wish he'd go away!
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chesskobra
Posts: 347
Joined: Thu Jul 21, 2022 12:30 am
Full name: Chesskobra

Re: idea to estimate the percentage of drawn positions in chess

Post by chesskobra »

I was thinking about a question (although not relevant to what OP asked): what is the percentage of draws in 3-7 man databases? I found the answer in one chess stackexchange thread.https://chess.stackexchange.com/questio ... -tablebase Here are the percentages of draws from Syzygy databases:

Code: Select all

3-man (45.1591%)
4-man (31.9065%)
5 man (22.2248%)
6-man (17.4227%)
7-man (13.1502%)
and additional tiny (< 0.3 %) saved by 50-move rule. Any uniformly random sample will be dominated by positions with large number of pieces, and would mostly consist of positions winning for one side.

Another interesting stats there is in 5-7 man bases there are more positions in which the side to move loses than positions in which the side to move wins. I would have expected the numbers to be roughly equal.

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5-man - 39.54% (side to move loses) vs 38.01% (side to move wins)
6-man - 42.69% (side to move loses) vs 39.63% (side to move wins)
7 man - 46.46% (side to move loses) vs 40.08 (side to move wins)
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jefk
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Re: idea to estimate the percentage of drawn positions in chess

Post by jefk »

well that's interesting, because with some brainless curve fitting we
can now extrapolate the estimated draw nrs for 8 men bases, 9 men etc
(the further you go, the more inaccurate, i admit), its clear for those
values that there's a tendency to decrease (eg 8 men 12 pct)

For the rest no comment(s)
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towforce
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Re: idea to estimate the percentage of drawn positions in chess

Post by towforce »

chesskobra wrote: ↑Thu Apr 24, 2025 4:42 pm 3-man (45.1591%)
4-man (31.9065%)
5 man (22.2248%)
6-man (17.4227%)
7-man (13.1502%)

1st order differences:

3-4: 45.1591 - 31.9065 = 13.2526
4-5: 31.9065 - 22.2248 = 9.6817
5-6: 22.2248 - 17.4227 = 4.8021
6-7: 17.4227 - 13.1502 = 4.2725


2nd order differences:

3-4 - 4-5: 13.2526 - 9.6817 = 3.5709
4-5 - 5-6: 9.6817 - 4.8021 = 4.8796
5-6 - 6-7: 4.8021 - 4.2725 = 0.5296


3nd order differences:

[3-4 - 4-5] - [4-5 - 5-6]: 3.5709 - 4.8796 = -1.3087
[4-5 - 5-6] - [5-6 - 6-7]: 4.8796 - 0.5296 = 0.5296


We are seeing convergence, so might be polynomial, but I'm going to say that we cannot safely fit a degree 2 polynomial to this data, and we don't have enough data to fit a higher degree polynomial (unless you want to say that two man has a 100% draw rate - which would be true).

Thinking about it, the fact that this model is restricted to a range of 0 to 100% means a polynomial is unlikely to be a good fit anyway.
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towforce
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Re: idea to estimate the percentage of drawn positions in chess

Post by towforce »

towforce wrote: ↑Sun Apr 27, 2025 2:58 pm
chesskobra wrote: ↑Thu Apr 24, 2025 4:42 pm 3-man (45.1591%)
4-man (31.9065%)
5 man (22.2248%)
6-man (17.4227%)
7-man (13.1502%)

1st order differences:

3-4: 45.1591 - 31.9065 = 13.2526
4-5: 31.9065 - 22.2248 = 9.6817
5-6: 22.2248 - 17.4227 = 4.8021
6-7: 17.4227 - 13.1502 = 4.2725


2nd order differences:

3-4 - 4-5: 13.2526 - 9.6817 = 3.5709
4-5 - 5-6: 9.6817 - 4.8021 = 4.8796
5-6 - 6-7: 4.8021 - 4.2725 = 0.5296


3nd order differences:

[3-4 - 4-5] - [4-5 - 5-6]: 3.5709 - 4.8796 = -1.3087
[4-5 - 5-6] - [5-6 - 6-7]: 4.8796 - 0.5296 = 0.5296


We are seeing convergence, so might be polynomial, but I'm going to say that we cannot safely fit a degree 2 polynomial to this data, and we don't have enough data to fit a higher degree polynomial (unless you want to say that two man has a 100% draw rate - which would be true).

Thinking about it, the fact that this model is restricted to a range of 0 to 100% means a polynomial is unlikely to be a good fit anyway.

Just for completeness, I'm taking it to 4th order differences:


1st order differences:

2-3: 100 - 45.1591 = 54.8409
3-4: 45.1591 - 31.9065 = 13.2526
4-5: 31.9065 - 22.2248 = 9.6817
5-6: 22.2248 - 17.4227 = 4.8021
6-7: 17.4227 - 13.1502 = 4.2725


2nd order differences:

2-3 - 3-4: 54.8409 - 13.2526 = 41.5883
3-4 - 4-5: 13.2526 - 9.6817 = 3.5709
4-5 - 5-6: 9.6817 - 4.8021 = 4.8796
5-6 - 6-7: 4.8021 - 4.2725 = 0.5296


3nd order differences:

[2-3 - 3-4] - [3-4 - 4-5]: 41.5883 - 3.5709 = 38.0174
[3-4 - 4-5] - [4-5 - 5-6]: 3.5709 - 4.8796 = -1.3087
[4-5 - 5-6] - [5-6 - 6-7]: 4.8796 - 0.5296 = 0.5296


4th order differences:

[[2-3 - 3-4] - [3-4 - 4-5]] - [[3-4 - 4-5] - [4-5 - 5-6]]: 38.0174 - -1.3087 = 39.3261
[[3-4 - 4-5] - [4-5 - 5-6]] - [[4-5 - 5-6] - [5-6 - 6-7]]: -1.3087 - 0.5296 = -1.8383

Looks even less convergent that before.
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Uri Blass
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Re: idea to estimate the percentage of drawn positions in chess

Post by Uri Blass »

towforce wrote: ↑Thu Apr 24, 2025 4:08 pm
Uri Blass wrote: ↑Thu Apr 24, 2025 1:06 amStockfish is not best to find mates..

Most of these positions are not going to have checkmates that can be found with today's technology.

We are looking for an ESTIMATE of the drawn position ratio here. My plan (previously stated in this thread) is:

1. Choose an engine, and how much time it will be allowed to look at each position

2. Choose an evaluation score (ES) at which 50% of the games above that score ended in a draw and 50% ended in a loss

3. If a position lies between -ES and ES, call it a draw, otherwise call it a win

4. The errors in the win-which-is-a-draw direction will be approximately equal to the errors in the draw-which-is-a-win direction

This method is good enough for an estimate.
I do not believe most of these positions are not going to have checkmates with today's technology.
There are many captures and engines are strong in tactics with enough time to find mates.

I think the result of game of the engine against itself at long time is going to be the theoretical result in big majority of the unproved cases but first thing to do it to try to find more forced mates

You probably need to work hard to prove checkmates but I believe a big evaluation can often be translated to checkmate.

I agree that there are hard positions to prove mate but even there the result is often probably clear
For example the evaluation is 719 in the position I see without proved mate(used stockfish10 because I do not trust nnue evaluation and it found all moves are mates except 8 moves that also have a huge score).

[d]1B2NBK1/1q1N4/1R1B1r2/P3r3/2QpPn2/R3QpNk/3bNn1n/2r3Rb b - - 0 1

FEN: 1B2NBK1/1q1N4/1R1B1r2/P3r3/2QpPn2/R3QpNk/3bNn1n/2r3Rb b - - 0 1

30/37 9:11:06 468,431,119k 14,166k -M14 Nf2-d3 Nd7xe5 Bd2xe3 Rb6xb7 Be3xg1 Ne2xf4+ Rf6xf4 Rb7-h7+ Kh3-g2 Ne5xd3 Rf4-g4+ Kg8-f7 Rc1-b1 Ra3-a2+ f3-f2 Qc4xd4 Rb1-b7+ Bf8-e7 Rg4-g7+ Ne8xg7 Rb7-b2 Ra2xb2 Kg2-f3 Qd4-f6+ Kf3-e3 Bd6-c5+ Ke3xd3 Qf6-d4+
30/29 9:11:06 468,431,119k 14,166k -M14 Qb7xb6 Qe3xd2 Qb6-b4 Qc4xb4 Re5-g5+ Kg8-h8 Nf4-g6+ Kh8-g7 Ng6-f4+ Kg7xf6 Nh2-g4+ Kf6xg5 Nf4-e6+ Kg5-g6 Ne6xf8+ Bd6xf8 Rc1-c6+ Ne8-f6 Bh1-g2 Qb4-b5 Ng4-e5+ Qb5xe5 Rc6xf6+ Nd7xf6 Kh3-h2 Qe5-h5+ Nf2-h3 Ng3-f5+
30/43 9:11:06 468,431,119k 14,166k -M16 Nf2-g4 Qe3xd2 Re5-g5+ Ne8-g7 Qb7xd7 Ne2xf4+ Rf6xf4 Bd6xf4 Rg5xg7+ Bf8xg7 Rc1xg1 Qd2xd4 Rg1-d1 Qd4xd7 Rd1xd7 Ng3xh1 Rd7-d8+ Bg7-f8 Rd8-d6 Ra3xf3+ Nh2xf3 Rb6xd6 Nf3-d4 Qc4-f1+ Kh3-h4 Qf1-e1+ Kh4-h5 Nh1-g3+ Kh5-h4 Ng3-f5+ Kh4-h5 Nf5-g7+
30/33 9:11:06 468,431,119k 14,166k -M16 Nh2-g4 Ne2xf4+ Rf6xf4 Qe3xd2 Rc1xg1 Rb6xb7 Re5-g5+ Kg8-h8 Rg1xg3 Qd2xf4 Rg5-h5+ Kh8-g7 Nf2xe4 Qc4-f1+ Bh1-g2 Ra3xf3 Rh5-g5+ Qf4xg5 Bg2xf1 Qg5-h5+ Kh3-g2 Rf3xg3+ Ne4xg3 Qh5xg4 Bf1-e2 Qg4xg3+ Kg2-f1 Rb7-b1+ Be2-d1 Qg3-f3+ Kf1-e1 Rb1xd1+
30/37 9:11:06 468,431,119k 14,166k -M16 Rc1xg1 Ne2xg1+ Kh3-g2 Qe3xf2+ Kg2xf2 Qc4xd4+ Kf2-g2 Qd4xd2+ f3-f2 Qd2xf2+ Kg2xf2 Rb6xb7 Bh1-f3 Rb7-b2+ Nf4-e2 Ng1xe2 Rf6-g6+ Kg8-f7 Rg6-g7+ Ne8xg7 Re5-f5+ e4xf5 Bf3-d5+ Kf7-e7 Nh2-f1 Ne2-f4+ Nf1-d2 Rb2xd2+ Kf2-e1 Rd2-e2+ Ke1-d1 Ra3-a1+
30/42 9:11:06 468,431,119k 14,166k -M18 Qb7xd7 Ne2xf4+ Rf6xf4 Qe3xd2 Re5-g5+ Ne8-g7 Rc1xg1 Bd6xf4 Rg5xg7+ Bf8xg7 Nh2-g4 Qd2xd4 Qd7xd4 Bg7xd4 Kh3-g2 Bd4xf2 Rg1-d1 Rb6-g6 Rd1-d8+ Kg8-f7 Kg2-h3 Qc4-f1+ Bh1-g2 Ra3xf3 Rd8-d7+ Kf7-e6 Rd7-e7+ Ke6xe7 Bg2xf1 Ng3-h1+ Kh3-g2 Rf3-g3+ Kg2-h2 Rg3xg4+ Kh2xh1 Rg4-g1+
30/51 9:11:06 468,431,119k 14,166k -M19 Qb7-c8 Qc4xc8 Bd2xe3 Ne2xc1 Rf6-g6+ Kg8-f7 Re5-f5+ e4xf5 Nf2-g4 Rg1xh1 Kh3-g2 f5xg6 Nf4-e2 Rh1xh2+ Ng4xh2 Ng3xe2 Nh2-g4 Ne2-f4+ Kg2-g3 Nf4-h5+ Kg3-g2 Rb6-b2+ Be3-f2 Qc8-c6 d4-d3 Rb2xf2+ Kg2xf2 Nc1xd3+ Kf2-g1 Ra3-a1+ Kg1-g2 Ra1-a2+ Ng4-f2 Ra2xf2+ Kg2-h3 Qc6xf3+ Kh3-h4 Bf8-e7+
30/45 9:11:06 468,431,119k 14,166k -64.57 Qb7-d5+ e4xd5 Bd2xe3 Ne2xc1 Re5-g5+ Bf8-g7 d4-d3 Ne8xf6 Nf4-e6 d5xe6 Bh1-g2 e6-e7 d3-d2 e7-e8Q d2-d1Q Rg1xd1 Bg2-f1 Rd1xf1 Nf2-g4 Rb6-b1 Be3-c5 Bd6xc5 Ng4-h6+ Kg8-h7 Nh6-g4 Qe8-e6 Kh3-h4 Ng3-e2 Rg5xg7+ Kh7xg7 Kh4-h3 Bb8xh2
30/47 9:11:06 468,431,119k 14,166k -51.91 Qb7-c7 Bb8xc7 Bd2xe3 Ne2xc1 Rf6-g6+ Ne8-g7 Nf4-d5 e4xd5 Bh1-g2 Bd6xe5 Rg6xb6 a5xb6 Nf2-g4 b6-b7 Ng4-h6+ Kg8-h7 Nh6-f7 b7-b8Q Nf7-g5+ Kh7-g8 Nh2-g4 Ng7-f5 Ng4xe5 Qb8-e8 Ng5-f7 Bc7xe5 Nf7-h6+ Bf8xh6 Kh3-h2 Nf5xe3 Kh2xg1 Be5xd4
30/47 9:11:06 468,431,119k 14,166k -50.47 Qb7-a6 Qc4xa6 Bd2xe3 Ne2xc1 Re5-g5+ Ne8-g7 Nf2-g4 Rg1xh1 Kh3-g2 Ra3xe3 Rg5-g6 Re3-a3 f3-f2 Bd6xf4 Rf6xb6 a5xb6 Rg6-h6 Ng7-f5 Rh6-h3 Ra3-a2 Rh3xg3 Nf5xg3 Kg2-f3 Qa6-d3+ Kf3-g2 Qd3xd4 Kg2-h3 Qd4-d1 Kh3-g2 Ra2-e2 Kg2-h3 Qd1-f1+ Kh3-h4 Bf8-e7+ Ng4-f6+ Be7xf6+ Kh4-g4 Rh1xh2
30/51 9:11:06 468,431,119k 14,166k -48.62 Qb7-c6 Rb6xc6 Bd2xe3 Ne2xc1 Rf6xf8+ Bd6xf8 Re5-g5+ Kg8-f7 Nf2-g4 Rg1xh1 Kh3-g2 Ra3xe3 d4xe3 Bb8xf4 e3-e2 Bf4xg5 Ng4-f2 Rh1-e1 Nf2-g4 Ng3-h5 Nh2-f1 Qc4-e6 Nf1-e3 Nh5-f4+ Kg2-g3 Rc6-c3 Kg3-h2 Qe6-d6 Ne3-f1 Rc3xf3 Kh2-h1 Nc1xe2 Ng4-e5+ Nd7xe5
30/51 9:11:06 468,431,119k 14,166k -39.52 Rf6-g6+ Kg8-h8 Rg6-h6+ Bf8xh6 Nf4-g6+ Kh8-g8 Re5xe8+ Nd7-f8 d4xe3 Ne2xc1 Qb7-c8 Qc4-f7 Qc8-g4 Qf7xe8 Bd2xc1 Rg1xc1 Ng6-e7+ Kg8-f7 Ne7-c8 Rc1xc8 Kh3-g2 Bh6xe3 Nf2-h3 Rb6-b2+ f3-f2 Rc8-c1 Qg4-f3+ Be3-f4 Nh3xf4 Ra3xf3 Kg2xf3 Rc1xh1 Nf4-d3 Rb2-d2 Kf3-g2 Rd2xd3 Nh2-f3 Nf8-g6 f2-f1R Rh1xf1 Nf3-g5+ Kf7-f6
30/57 9:11:06 468,431,119k 14,166k -38.96 Bd2xe3 Nd7xe5 Qb7-d7 Ne2xc1 Nf2xe4 Ne5xd7 Rf6-g6+ Kg8-f7 Ne4-g5+ Kf7-e7 Rg6-e6+ Ke7-d8 Re6xd6 Bf8xd6 Nf4-e6+ Kd8-e7 Bh1-g2 Ng3-e4 Nh2-g4 Ne4xg5+ Ne6xg5 Qc4-g8 Be3-f2 Qg8-h8+ Bf2-h4 Bd6-f4 Ng5-e4+ Ke7-e6 Ng4-f2 Qh8xd4 Bh4-g5 Bf4xg5 Ne4xg5+ Ke6-f5 Ng5-f7 Qd4xf2
30/48 9:11:06 468,431,119k 14,166k -31.03 d4xe3 Nd7xe5 Nf4xe2 Rb6xb7 Ne2xg1 Qc4-b5 Rf6-f4 Rb7-g7 Rf4-h4 Ng3xh1 Nf2-g4 Bf8-e7 Ng4-h6+ Kg8-f8 Rh4-f4+ Be7-f6 Nh2-g4 Ne5xg4 Rf4xg4 Qb5-h5+ Kh3-g2 Qh5-h2+ Kg2-f1 Rg7xg4 f3-f2 Qh2xh6 Kf1-e2 Nh1-g3+ Ke2-d1 Ra3xe3 Bd2xe3 Qh6xe3 f2-f1Q Ng3xf1 Ng1-e2 Qe3-f3
30/52 9:11:06 468,431,119k 14,166k -28.36 Re5-g5+ Ne8-g7 Bd2xe3 Ne2xf4+ Rf6xf4 Qc4-e6+ Rf4-g4 Rg1xc1 Qb7xb6 Nd7xb6 Rg5-g6 Qe6-c8 Bh1-g2 Rc1-c5 Be3-g5 Ng3-e2 Bg2-f1 Ne2xd4 Kh3-g2 Bd6xh2 Bg5-f6 Nd4-f5 Nf2-d1 Nb6-d5 Bf6xg7 Nf5xg7 Bf1-e2 Nd5-f4+ Kg2-h1 Nf4xg6 Rg4xg6 Bh2-g3 Kh1-g2 Bg3-h4 f3-f2 Qc8-h3+ Kg2-g1 Rc5-g5+ Rg6xg5
---------------------------------------------------------------------------
30/37 11:42:46 598,697,909k 14,198k -M14 Nf2-d3 Nd7xe5 Bd2xe3 Rb6xb7 Be3xg1 Ne2xf4+ Rf6xf4 Rb7-h7+ Kh3-g2 Ne5xd3 Rf4-g4+ Kg8-f7 Rc1-b1 Ra3-a2+ f3-f2 Qc4xd4 Rb1-b7+ Bf8-e7 Rg4-g7+ Ne8xg7 Rb7-b2 Ra2xb2 Kg2-f3 Qd4-f6+ Kf3-e3 Bd6-c5+ Ke3xd3 Qf6-d4+
30/29 11:42:46 598,697,909k 14,198k -M14 Qb7xb6 Qe3xd2 Qb6-b4 Qc4xb4 Re5-g5+ Kg8-h8 Nf4-g6+ Kh8-g7 Ng6-f4+ Kg7xf6 Nh2-g4+ Kf6xg5 Nf4-e6+ Kg5-g6 Ne6xf8+ Bd6xf8 Rc1-c6+ Ne8-f6 Bh1-g2 Qb4-b5 Ng4-e5+ Qb5xe5 Rc6xf6+ Nd7xf6 Kh3-h2 Qe5-h5+ Nf2-h3 Ng3-f5+
30/43 11:42:46 598,697,909k 14,198k -M16 Nf2-g4 Qe3xd2 Re5-g5+ Ne8-g7 Qb7xd7 Ne2xf4+ Rf6xf4 Bd6xf4 Rg5xg7+ Bf8xg7 Rc1xg1 Qd2xd4 Rg1-d1 Qd4xd7 Rd1xd7 Ng3xh1 Rd7-d8+ Bg7-f8 Rd8-d6 Ra3xf3+ Nh2xf3 Rb6xd6 Nf3-d4 Qc4-f1+ Kh3-h4 Qf1-e1+ Kh4-h5 Nh1-g3+ Kh5-h4 Ng3-f5+ Kh4-h5 Nf5-g7+
30/33 11:42:46 598,697,909k 14,198k -M16 Nh2-g4 Ne2xf4+ Rf6xf4 Qe3xd2 Rc1xg1 Rb6xb7 Re5-g5+ Kg8-h8 Rg1xg3 Qd2xf4 Rg5-h5+ Kh8-g7 Nf2xe4 Qc4-f1+ Bh1-g2 Ra3xf3 Rh5-g5+ Qf4xg5 Bg2xf1 Qg5-h5+ Kh3-g2 Rf3xg3+ Ne4xg3 Qh5xg4 Bf1-e2 Qg4xg3+ Kg2-f1 Rb7-b1+ Be2-d1 Qg3-f3+ Kf1-e1 Rb1xd1+
30/37 11:42:46 598,697,909k 14,198k -M16 Rc1xg1 Ne2xg1+ Kh3-g2 Qe3xf2+ Kg2xf2 Qc4xd4+ Kf2-g2 Qd4xd2+ f3-f2 Qd2xf2+ Kg2xf2 Rb6xb7 Bh1-f3 Rb7-b2+ Nf4-e2 Ng1xe2 Rf6-g6+ Kg8-f7 Rg6-g7+ Ne8xg7 Re5-f5+ e4xf5 Bf3-d5+ Kf7-e7 Nh2-f1 Ne2-f4+ Nf1-d2 Rb2xd2+ Kf2-e1 Rd2-e2+ Ke1-d1 Ra3-a1+
30/42 11:42:46 598,697,909k 14,198k -M18 Qb7xd7 Ne2xf4+ Rf6xf4 Qe3xd2 Re5-g5+ Ne8-g7 Rc1xg1 Bd6xf4 Rg5xg7+ Bf8xg7 Nh2-g4 Qd2xd4 Qd7xd4 Bg7xd4 Kh3-g2 Bd4xf2 Rg1-d1 Rb6-g6 Rd1-d8+ Kg8-f7 Kg2-h3 Qc4-f1+ Bh1-g2 Ra3xf3 Rd8-d7+ Kf7-e6 Rd7-e7+ Ke6xe7 Bg2xf1 Ng3-h1+ Kh3-g2 Rf3-g3+ Kg2-h2 Rg3xg4+ Kh2xh1 Rg4-g1+
30/51 11:42:46 598,697,909k 14,198k -M19 Qb7-c8 Qc4xc8 Bd2xe3 Ne2xc1 Rf6-g6+ Kg8-f7 Re5-f5+ e4xf5 Nf2-g4 Rg1xh1 Kh3-g2 f5xg6 Nf4-e2 Rh1xh2+ Ng4xh2 Ng3xe2 Nh2-g4 Ne2-f4+ Kg2-g3 Nf4-h5+ Kg3-g2 Rb6-b2+ Be3-f2 Qc8-c6 d4-d3 Rb2xf2+ Kg2xf2 Nc1xd3+ Kf2-g1 Ra3-a1+ Kg1-g2 Ra1-a2+ Ng4-f2 Ra2xf2+ Kg2-h3 Qc6xf3+ Kh3-h4 Bf8-e7+
31/49 11:42:46 598,697,909k 14,198k -82.39 Qb7-d5+ e4xd5 Re5xe3 Ne2xc1 Rf6-g6+ Kg8-f7 Re3-e1 Rg1xe1 Rg6-h6 Bf8xh6 Bd2xe1 Ng3xh1 Kh3-g2 Bh6xf4 Nh2-g4 Nh1-g3 Ng4-h2 Ng3-f5 Nf2-e4 Nf5-h4+ Be1xh4 Qc4-c2+ Ne4-d2 Bf4xh2 f3-f2 Qc2xd2 d4-d3 Qd2xd3 f2-f1Q+ Qd3xf1+ Kg2xf1 Nc1-d3 Bh4-e1 Nd3xe1 Kf1xe1 Bd6-b4+ Ke1-d1
31/52 11:42:46 598,697,909k 14,198k -80.00 Qb7-a6 Qc4xa6 d4xe3 Ne2xc1 Re5-g5+ Ne8-g7 Nf4-d5 e4xd5 Nf2-g4 Rg1xh1 Kh3-g2 Rh1xh2+ Ng4xh2 Nd7xf6 Rg5-g6 Ng3-h5 Nh2-f1 Nh5-f4+ Kg2-g1 Qa6xf1+ Kg1xf1 Rb6-b1 f3-f2 Nc1-d3+ Bd2-e1 Nf4xg6 Kf1-g1 Nf6-e4 Kg1-f1 Nd3xe1 f2xe1Q Rb1xe1+ Kf1xe1 Ra3xe3+ Ke1-d1 Kg8-h7 Kd1-c2 Bd6-f4 Kc2-b2
31/53 11:42:46 598,697,909k 14,198k -53.63 Qb7-c6 Rb6xc6 Bd2xe3 Ne2xc1 Re5-g5+ Ne8-g7 Nf4-d5 e4xd5 Bh1-g2 Nd7xf6 Nh2-g4 Nf6-h5 Ng4-h6+ Kg8-h7 Nh6-f7 Ng7-e6 Rg5-g4 Nh5-f4+ Be3xf4 Bd6xf4 Rg4-h4+ Kh7-g6 Nf2-g4 Kg6xf7 Rh4-h7+ Kf7-g6 Ng4-e5+ Bb8xe5 Rh7-h4 Qc4xd4 Rh4-g4+ Kg6-f5 Rg4-g8 Bf4-g5 Rg8-h8 Be5xh8 Kh3-h2 Ng3-e4
31/53 11:42:46 598,697,909k 14,198k -53.60 Qb7-c7 Bb8xc7 Bd2xe3 Ne2xc1 Rf6-g6+ Ne8-g7 Nf4-d5 e4xd5 Bh1-g2 Bd6xe5 Rg6xb6 a5xb6 Nf2-g4 b6-b7 Ng4-h6+ Kg8-h7 Nh6-f7 b7-b8Q Nf7-g5+ Kh7-g6 Ng5-h7 Kg6xh7 f3-f2 Rg1-d1 Bg2-f3 Nc1-e2 Bf3-g4 Qb8-b5 Kh3-g2 Be5xd4 f2-f1Q
31/55 11:42:46 598,697,909k 14,198k -38.62 Rf6-g6+ Kg8-h8 Rg6-h6+ Bf8xh6 Nf4-g6+ Kh8-g8 Re5xe8+ Nd7-f8 d4xe3 Ne2xc1 Qb7-c8 Qc4-f7 Ng6-h4 Ng3xh1 Nf2xe4 Bh6xe3 Bd2-e1 Bd6xh2 Ne4-g5 Be3xg5 Re8xf8+ Qf7xf8 Qc8-c4+ Kg8-h7 Qc4-e4+ Kh7-g7 Qe4-d4+ Bg5-f6 Nh4-f5+ Kg7-f7 Qd4-d5+ Rb6-e6 Qd5-b7+ Kf7-g6 Qb7-b1 Re6xe1 Nf5-h4+ Kg6-h5 Qb1-f5+ Rg1-g5 Qf5-h7+ Qf8-h6 Qh7xh6+ Kh5xh6 Nh4-f5+ Rg5xf5
31/44 11:42:46 598,697,909k 14,198k -30.16 Bd2xe3 Nd7xe5 Rf6xf8+ Kg8xf8 Qb7-h7 Ne2xf4+ Be3xf4 Qc4-e6+ Nh2-g4 Ne5xg4 Nf2xg4 Rg1xh1+ Rc1xh1 Bd6xf4 Rh1-h2 Ra3xf3 Qh7-h8+ Kf8-f7 Kh3-g2 Qe6xg4 Rh2-h7+ Kf7-g6 Qh8-g8+ Kg6-f5 Rh7-f7+ Rb6-f6 Rf7-f8 Rf6xf8 Qg8xf8+ Ne8-f6 Qf8-c8+ Kf5-g5
31/51 11:42:46 598,697,909k 14,198k -29.60 Re5-g5+ Ne8-g7 Bd2xe3 Ne2xf4+ Rf6xf4 Qc4-e6+ Nh2-g4 Rg1xc1 Rf4xe4 Rc1xh1+ Kh3-g2 Ra3-a1 Nf2xh1 Ng3xe4 Qb7-d5 Ne4xg5 Ng4-h6+ Kg8-h7 Qd5xe6 Ng7xe6 f3-f2 Rb6-b1 Nh1-g3 Bd6xg3 Nh6-f5 Bg3-h2 Nf5-h4 Bf8-c5 Nh4-f3 Ng5xf3 Kg2xf3 Ne6xd4+ Kf3-g2 Rb1-b2 Kg2-h3 Kh7-g6 Kh3-g4 Nd7-e5+ Kg4-h4
31/47 11:42:46 598,697,909k 14,198k -28.28 d4xe3 Nd7xe5 f3xe2 Qc4xc1 Qb7-d5+ e4xd5 Bd2xc1 Rg1xc1 Bh1xd5+ Kg8-h8 Rf6-e6 Ra3xe3 Nh2-f3 Ne8-c7 Nf4-g6+ Kh8-g7 Ng6xe5 Nc7xe6 e2-e1R Rc1xe1 Ne5-d3 Ne6-g5+ Kh3-g2 Ng5xf3 Bd5-c4 Re1-g1+ Kg2-h3 Ng3-f5
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