replace the evaluation by playing against yourself

[Uri Blass]

I wonder if somebody try it.

You start with chess engine A and do what you like with the search algorithm.

When you come to the evaluation part then you simply tell stockfish to play against itself at small depth like depth 6 and return a number based on the result of the game(if the game is drawn you return 0.00 and otherwise you return mate in X for the side that won).

So every leaf is evaluated by a SF vs. SF game? Seems rather impractical, to say the least.

I do not see the problem.
The program may be weaker and may get smaller depths but still may see some ideas that normal stockfish does not see.

I think if searching for a draw, a simpler approach is to simply recognize failure to make progress.

E.g. a score of 1000 seems great, but if you get it ten plies in a row, it is almost certainly a draw (or the current plan is a draw at best).

I think that there are many cases when a big score that repeat more than 10 times is not a draw.

Here is an example

3.66 repeat from depth 62 to depth 80 and it is not a draw.

[D]4b3/4k3/4p2p/1p1p2p1/2pP1P1P/K1P5/1P2B3/8 w - - 0 40

Stockfish_18012814_x64_modern:

52/54 00:19 86,365k 4,538k +1.71 40.fxg5 hxg5 41.hxg5 Kd6 42.Kb4 Kc6 43.Bd1 Kd6 44.Bg4 Bf7 45.Kxb5 Be8+ 46.Ka5 Bf7 47.Bd1 Bg6 48.Kb6 Ke7 49.Kc5 Kd7 50.Bf3 Be8 51.Be2 Bg6 52.Bg4 Bf7 53.Kb4 Kd6 54.Bf3 Be8 55.Be2 Bg6 56.Ka5 Kc6 57.Bf3 Kd6 58.Kb5 Bf7 59.Kb6 Be8 60.Bg4 Bg6 61.Be2 Bf7 62.Bd1 Bg6 63.Kb5 Bf7 64.Be2 Bg6 65.Kb4 Bf7 66.Bd1 Bg6
53/56 00:21 98,098k 4,539k +1.71 40.fxg5 hxg5 41.hxg5 Kd6 42.Kb4 Kc6 43.Bd1 Kd6 44.Bg4 Bf7 45.Kxb5 Be8+ 46.Ka5 Bf7 47.Bd1 Bg6 48.Kb6 Ke7 49.Kc5 Kd7 50.Bf3 Be8 51.Be2 Bg6 52.Bg4 Bf7 53.Kb4 Kd6 54.Bf3 Be8 55.Be2 Bg6 56.Ka5 Kc6 57.Bf3 Kd6 58.Bd1 Be8 59.Kb6 Bg6 60.Kb5 Be8+ 61.Kb4 Bg6 62.Be2 Kd7 63.Kc5 Ke7 64.Kc6 Be8+ 65.Kb6 Bg6 66.Bg4 Kd7 67.Kb5 Kd6
54/57 00:27 127,137k 4,576k +1.71 40.fxg5 hxg5 41.hxg5 Kd6 42.Kb4 Kc6 43.Bd1 Kd6 44.Bg4 Bf7 45.Kxb5 Be8+ 46.Ka5 Bf7 47.Bd1 Bg6 48.Kb6 Ke7 49.Kc5 Kd7 50.Bf3 Be8 51.Be2 Bg6 52.Bg4 Bf7 53.Kb4 Kd6 54.Bf3 Be8 55.Be2 Bg6 56.Ka5 Kc6 57.Bf3 Kd6 58.Bd1 Ke7 59.Kb5 Kd6 60.Kb4 Bf7 61.Bc2 Bh5 62.Kb5 Ke7 63.Kc5 Kd7 64.Kb6 Ke7 65.Kc6 Bg4 66.Kc5 Bf3 67.Bh7 Bh5
55/57 00:31 144,565k 4,581k +1.71 40.fxg5 hxg5 41.hxg5 Kd6 42.Kb4 Kc6 43.Bd1 Kd6 44.Bg4 Bf7 45.Kxb5 Be8+ 46.Ka5 Bf7 47.Bd1 Bg6 48.Kb6 Ke7 49.Kc5 Kd7 50.Bf3 Be8 51.Be2 Bg6 52.Bg4 Bf7 53.Kb4 Kd6 54.Bf3 Be8 55.Be2 Bg6 56.Ka5 Bf7 57.Bg4 Be8 58.Bf3 Bg6 59.Kb6 Be8 60.Bd1 Bg6 61.Kb5 Ke7 62.Kb4 Kd6 63.Ka5 Kc6 64.Ba4+ Kd6 65.Kb6 Ke7 66.Kc5 Bh5 67.Bc2 Bf3 68.Kb6
56/58 00:34 160,428k 4,607k +1.71 40.fxg5 hxg5 41.hxg5 Kd6 42.Kb4 Kc6 43.Bd1 Kd6 44.Bg4 Bf7 45.Kxb5 Be8+ 46.Ka5 Bf7 47.Bd1 Bg6 48.Kb6 Ke7 49.Kc5 Kd7 50.Bf3 Be8 51.Be2 Bg6 52.Bg4 Bf7 53.Kb4 Kd6 54.Bf3 Be8 55.Be2 Bg6 56.Ka5 Bf7 57.Bg4 Be8 58.Bf3 Bg6 59.Kb6 Bf7 60.Bd1 Bg6 61.Ba4 Ke7 62.Kc5 Bd3 63.Bd1 Bg6 64.Bg4 Kd7 65.Kb4 Kd6 66.Bd1 Ke7 67.Bf3 Kd6 68.Be2 Be8
57/61 00:37 171,386k 4,601k +1.71 40.fxg5 hxg5 41.hxg5 Kd6 42.Kb4 Kc6 43.Bd1 Kd6 44.Bg4 Bf7 45.Kxb5 Be8+ 46.Ka5 Bf7 47.Bd1 Bg6 48.Kb6 Ke7 49.Kc5 Kd7 50.Bf3 Be8 51.Be2 Bg6 52.Bg4 Bf7 53.Kb4 Kd6 54.Bf3 Be8 55.Be2 Bg6 56.Ka5 Bf7 57.Bg4 Be8 58.Bf3 Bg6 59.Kb6 Bf7 60.Bd1 Bg6 61.Ba4 Ke7 62.Kc5 Bd3 63.Bd1 Bg6 64.Bg4 Bd3 65.Bh5 Bf5 66.Kc6 Bc2 67.g6 Kf6 68.Kd6 Bf5 69.g7 Kxg7 70.Ke7
58/61 00:42 197,819k 4,652k +1.71 40.fxg5 hxg5 41.hxg5 Kd6 42.Kb4 Kc6 43.Bd1 Kd6 44.Bg4 Bf7 45.Kxb5 Be8+ 46.Ka5 Bf7 47.Bd1 Bg6 48.Kb6 Ke7 49.Kc5 Kd7 50.Bf3 Be8 51.Be2 Bg6 52.Bg4 Bf7 53.Kb4 Kd6 54.Bf3 Be8 55.Be2 Bg6 56.Ka5 Bf7 57.Bg4 Bg6 58.Bf3 Bf7 59.Be2 Bg6 60.Kb6 Bf7 61.Bg4 Bg6 62.Bf3 Be8 63.Bd1 Bg6 64.Kb5 Be8+ 65.Kb4 Bg6 66.Ka5 Kc6 67.Ba4+ Kd6 68.Kb6 Ke7 69.Kc5 Bd3 70.Bd1
59/61 00:48 228,738k 4,674k +1.71 40.fxg5 hxg5 41.hxg5 Kd6 42.Kb4 Kc6 43.Bd1 Kd6 44.Bg4 Bf7 45.Kxb5 Be8+ 46.Ka5 Bf7 47.Bd1 Bg6 48.Kb6 Ke7 49.Kc5 Kd7 50.Bf3 Be8 51.Be2 Bg6 52.Bg4 Bf7 53.Kb4 Kd6 54.Bf3 Be8 55.Be2 Bg6 56.Ka5 Bf7 57.Bg4 Bg6 58.Bf3 Bf7 59.Be2 Bg6 60.Kb6 Bf7 61.Bg4 Bg6 62.Bf3 Be8 63.Bd1 Bg6 64.Ka5 Kc6 65.Bf3 Kd6 66.Kb5 Ke7 67.Kb6 Bf7 68.Kc6 Bg6 69.Kc5 Be8 70.Bg4
60/68+ 01:20 381,795k 4,729k +1.79 40.fxg5
60/68+ 01:47 503,844k 4,708k +1.86 40.fxg5
60/73+ 02:26 687,496k 4,688k +1.97 40.fxg5
60/73+ 03:45 1,028,080k 4,566k +2.13 40.fxg5
60/73+ 04:34 1,254,897k 4,565k +2.35 40.fxg5
60/73 04:45 1,303,906k 4,563k +2.35 40.fxg5 hxg5 41.hxg5 Kf8 42.Bg4 Ke7 43.Bd1 Bg6 44.Kb4 Kf7 45.Kc5 Ke7 46.Kxb5 Kd7 47.Kb6 Kd6 48.Bf3 Be8 49.Bg4 Bf7 50.Be2 Be8 51.Bf3 Bf7 52.Kb7 Kd7 53.Be2 Be8 54.Bg4 Bf7 55.Ka6 Ke7 56.Ka5 Kd7 57.Kb5 Bg6 58.Kb6 Bf7 59.Bd1 Bg6 60.Kb7 Kd6 61.Kc8 Ke7 62.Kc7 Bf7 63.Kc6 Be8+ 64.Kc5 Bg6 65.Be2 Kd7 66.Kb6 Kd6 67.Kb5 Be8+ 68.Kb4 Bg6 69.Bd1 Ke7 70.Kc5 Kd7 71.Kb5 Kc7 72.Kb4 Kc6 73.Ka5
61/67 05:13 1,426,661k 4,551k +2.35 40.fxg5 hxg5 41.hxg5 Kf8 42.Bg4 Ke7 43.Bd1 Bg6 44.Kb4 Kf7 45.Kc5 Ke7 46.Kxb5 Kd7 47.Kb6 Kd6 48.Bf3 Be8 49.Bg4 Bf7 50.Be2 Be8 51.Bf3 Bf7 52.Kb7 Kd7 53.Be2 Be8 54.Bg4 Bf7 55.Ka6 Ke7 56.Ka5 Kd7 57.Kb5 Bg6 58.Kb6 Bf7 59.Bd1 Bg6 60.Kb7 Kd6 61.Kc8 Ke7 62.Kc7 Bf7 63.Kc6 Be8+ 64.Kb6 Bf7 65.Kc5 Bg6 66.Bg4 Kd7 67.Be2 Bf7 68.Kb5 Kc7 69.Bg4 Kd6 70.Bd1 Be8+ 71.Kb4 Ke7 72.Be2 Kd7 73.Bd1
62/69+ 07:04 1,910,503k 4,504k +2.42 40.fxg5
62/73+ 08:14 2,247,217k 4,543k +2.50 40.fxg5
62/73+ 09:22 2,562,210k 4,558k +2.61 40.fxg5
62/74+ 10:40 2,934,844k 4,585k +2.77 40.fxg5
62/76+ 12:11 3,357,490k 4,589k +2.99 40.fxg5
62/83+ 13:54 3,840,349k 4,602k +3.28 40.fxg5
62/89+ 16:44 4,507,679k 4,489k +3.66 40.fxg5
62/93 18:06 4,777,838k 4,399k +3.66 40.fxg5 hxg5 41.hxg5 Kd7 42.Kb4 Bg6 43.Bd1 Kc6 44.Ka5 Kd7 45.Kxb5 Kc7 46.Be2 Kd6 47.Bg4 Be8+ 48.Ka5 Kd7 49.Bd1 Bg6 50.Kb4 Kc6 51.Bg4 Bf7 52.Ka5 Kb7 53.Kb5 Kc7 54.Be2 Bg6 55.Kc5 Kd7 56.Kb6 Ke7 57.Bg4 Kd7 58.Bf3 Ke7 59.Be2 Bf7 60.Bd1 Kd6 61.Bc2 Bh5 62.Ka5 Bg4 63.Kb5 Bf3 64.Kb4 Kd7 65.Kc5 Ke7 66.Kc6 Be2 67.Ba4 Bd3 68.Bd1 Bg6 69.Kc5 Kd7 70.Bf3 Kc7 71.Bg4 Kd7 72.Kb6 Be8 73.Bd1 Ke7 74.Kc5 Bg6 75.Kc6 Be8+ 76.Kb6 Bf7 77.Kb7 Be8 78.Kc8 e5 79.dxe5 Ke6 80.Kd8
63/77 18:48 4,917,338k 4,356k +3.66 40.fxg5 hxg5 41.hxg5 Kd7 42.Kb4 Bg6 43.Bd1 Kc6 44.Ka5 Kd7 45.Kxb5 Kc7 46.Be2 Kd6 47.Bg4 Be8+ 48.Ka5 Kd7 49.Bd1 Bg6 50.Kb4 Kc6 51.Bg4 Bf7 52.Ka5 Kb7 53.Kb5 Kc7 54.Be2 Bg6 55.Kc5 Kd7 56.Kb6 Ke7 57.Bg4 Kd7 58.Bf3 Ke7 59.Be2 Bf7 60.Bd1 Kd6 61.Bc2 Bh5 62.Ka5 Bg4 63.Kb5 Bf3 64.Kb4 Kd7 65.Kc5 Ke7 66.Kc6 Be2 67.Ba4 Bd3 68.Bd1 Bg6 69.Bf3 Be8+ 70.Kb7 Bf7 71.Bd1 Kd6 72.Bc2 Bh5 73.g6 Ke7 74.Kc6 Kf6 75.Kd6 Bg4 76.Ba4 Kxg6 77.Ke7 Kf5 78.Bd7
64/82 19:36 5,088,413k 4,326k +3.66 40.fxg5 hxg5 41.hxg5 Kd7 42.Kb4 Bg6 43.Bd1 Kc6 44.Ka5 Kd7 45.Kxb5 Kc7 46.Be2 Kd6 47.Bg4 Be8+ 48.Ka5 Kd7 49.Bd1 Bg6 50.Kb4 Kc6 51.Bg4 Bf7 52.Ka5 Kb7 53.Kb5 Kc7 54.Be2 Bg6 55.Kc5 Kd7 56.Kb6 Ke7 57.Bg4 Kd7 58.Bf3 Ke7 59.Be2 Kd6 60.Bd1 Kd7 61.Ba4+ Kc8 62.Kc5 Kc7 63.Bd1 Kd7 64.Kb6 Kd6 65.Ba4 Bh5 66.Kb5 Bg6 67.Kb4 Ke7 68.Kc5 Bf5 69.Kc6 Bg4 70.g6 Bf5 71.g7 Bh7 72.Kc7 Kf6 73.Kd7 Kf7 74.Kd6 Bg8 75.Bc2 Kf6 76.Kd7 Kf7 77.Bd1
65/79 20:46 5,328,154k 4,276k +3.66 40.fxg5 hxg5 41.hxg5 Kd7 42.Kb4 Bg6 43.Bd1 Kc6 44.Ka5 Kd7 45.Kxb5 Kc7 46.Be2 Kd6 47.Bg4 Be8+ 48.Ka5 Kd7 49.Bd1 Bg6 50.Kb4 Kc6 51.Bg4 Bf7 52.Ka5 Kb7 53.Kb5 Kc7 54.Be2 Bg6 55.Kc5 Kd7 56.Kb6 Ke7 57.Bg4 Kd7 58.Bf3 Ke7 59.Be2 Kd6 60.Bd1 Kd7 61.Ba4+ Kc8 62.Kc5 Kc7 63.Bd1 Kd7 64.Kb6 Kd6 65.Ba4 Bd3 66.Be8 Bc2 67.Bh5 Bf5 68.Ka5 Bc2 69.Kb4 Bf5 70.Kb5 Bd3 71.g6 Ke7 72.g7 Bh7 73.Kc6 Kf6 74.Kd6 Bg8 75.Bd1 Bf7 76.Ba4 Bg8 77.Bc2 Kxg7
66/81 22:40 5,700,861k 4,190k +3.66 40.fxg5 hxg5 41.hxg5 Kd7 42.Kb4 Bg6 43.Bd1 Kc6 44.Ka5 Kd7 45.Kxb5 Kc7 46.Be2 Kd6 47.Bg4 Be8+ 48.Ka5 Kd7 49.Bd1 Bg6 50.Kb4 Kc6 51.Bg4 Bf7 52.Ka5 Kb7 53.Kb5 Kc7 54.Be2 Bg6 55.Kc5 Kd7 56.Kb6 Ke7 57.Bg4 Kd7 58.Bf3 Ke7 59.Be2 Kd6 60.Bd1 Kd7 61.Ba4+ Kc8 62.Bc6 Bh5 63.Bb5 Kd8 64.Ba4 Ke7 65.Kc7 Bg6 66.Bd1 Bf7 67.Bc2 Bh5 68.g6 Kf6 69.Kd6 Bg4 70.g7 Kxg7 71.Ke7 Bf5 72.Ba4 Kg6 73.Bd7 Bd3 74.Bxe6 Be4 75.Kd6 Kf6 76.Bxd5 Bd3 77.Bc6 Bg6 78.Kc5 Ke7
67/73 22:59 5,769,509k 4,181k +3.66 40.fxg5 hxg5 41.hxg5 Kd7 42.Kb4 Bg6 43.Bd1 Kc6 44.Ka5 Kd7 45.Kxb5 Kc7 46.Be2 Kd6 47.Bg4 Be8+ 48.Ka5 Kd7 49.Bd1 Bg6 50.Kb4 Kc6 51.Bg4 Bf7 52.Ka5 Kb7 53.Kb5 Kc7 54.Be2 Bg6 55.Kc5 Kd7 56.Kb6 Ke7 57.Bg4 Kd7 58.Bf3 Ke7 59.Be2 Kd6 60.Bd1 Kd7 61.Bg4 Be8 62.Kc5 Bf7 63.Bf3 Be8 64.Bd1 Bg6 65.Kb6 Kd6 66.Ba4 Bh5 67.Kb5 Be8+ 68.Ka5 Bh5 69.Bc2 Bg4 70.Kb5 Bf3 71.Kb4 Bh5 72.g6 Ke7 73.Kc5 Kf6 74.Kd6 Bf3 75.g7 Kxg7 76.Kxe6
68/81 25:02 6,212,673k 4,136k +3.66 40.fxg5 hxg5 41.hxg5 Kd7 42.Kb4 Bg6 43.Bd1 Kc6 44.Ka5 Kd7 45.Kxb5 Kc7 46.Be2 Kd6 47.Bg4 Be8+ 48.Ka5 Kd7 49.Bd1 Bg6 50.Kb4 Kc6 51.Bg4 Bf7 52.Ka5 Kb7 53.Kb5 Kc7 54.Be2 Bg6 55.Kc5 Kd7 56.Kb6 Ke7 57.Bg4 Kd7 58.Bf3 Ke7 59.Be2 Kd6 60.Bd1 Kd7 61.Bg4 Be8 62.Kc5 Bf7 63.Bf3 Be8 64.Bd1 Bg6 65.Kb6 Kd6 66.Ba4 Bh5 67.Kb5 Be8+ 68.Ka5 Bh5 69.Bc2 Bg4 70.Kb5 Bf3 71.Kb4 Bg4 72.g6 Ke7 73.Kc5 Kf6 74.Kd6 Bh3 75.g7 Kxg7 76.Ke7 Bf5 77.Ba4 Kg6 78.Bd7 e5 79.Be8+ Kg5 80.dxe5
69/73 25:06 6,226,916k 4,134k +3.66 40.fxg5 hxg5 41.hxg5 Kd7 42.Kb4 Bg6 43.Bd1 Kc6 44.Ka5 Kd7 45.Kxb5 Kc7 46.Be2 Kd6 47.Bg4 Be8+ 48.Ka5 Kd7 49.Bd1 Bg6 50.Kb4 Kc6 51.Bg4 Bf7 52.Ka5 Kb7 53.Kb5 Kc7 54.Be2 Bg6 55.Kc5 Kd7 56.Kb6 Ke7 57.Bg4 Kd7 58.Bf3 Ke7 59.Be2 Kd6 60.Bd1 Kd7 61.Bg4 Be8 62.Kc5 Bf7 63.Bd1 Bg6 64.Kb6 Kd6 65.Ba4 Bh5 66.Kb5 Bg6 67.Kb4 Ke7 68.Kc5 Bf5 69.Bd1 Be4 70.Bh5 Bc2 71.g6 Kf8 72.Kd6 Be4 73.Kxe6 Kg7 74.Ke5 Kh6 75.g7 Kxg7 76.Be8
70/75 26:45 6,568,232k 4,092k +3.66 40.fxg5 hxg5 41.hxg5 Kd7 42.Kb4 Bg6 43.Bd1 Kc6 44.Ka5 Kd7 45.Kxb5 Kc7 46.Be2 Kd6 47.Bg4 Be8+ 48.Ka5 Kd7 49.Bd1 Bg6 50.Kb4 Kc6 51.Bg4 Bf7 52.Ka5 Kb7 53.Kb5 Kc7 54.Be2 Bg6 55.Kc5 Kd7 56.Kb6 Ke7 57.Bg4 Kd7 58.Bf3 Ke7 59.Be2 Kd6 60.Bd1 Kd7 61.Bg4 Be8 62.Kc5 Bf7 63.Bd1 Bg6 64.Kb6 Kd6 65.Ba4 Bh5 66.Kb5 Bg4 67.Bc2 Bf3 68.Kb4 Bh1 69.Bd1 Be4 70.Bh5 Bf5 71.Kb5 Ke7 72.Kc6 Kf8 73.Kd6 Kg8 74.Ke7 Kg7 75.Be8 Bd3 76.Ba4 Bf5
71/81 29:55 7,220,282k 4,022k +3.66 40.fxg5 hxg5 41.hxg5 Kd7 42.Kb4 Bg6 43.Bd1 Kc6 44.Ka5 Kd7 45.Kxb5 Kc7 46.Be2 Kd6 47.Bg4 Be8+ 48.Ka5 Kd7 49.Bd1 Bg6 50.Kb4 Kc6 51.Bg4 Bf7 52.Ka5 Kb7 53.Kb5 Kc7 54.Be2 Bg6 55.Kc5 Kd7 56.Kb6 Ke7 57.Bg4 Kd7 58.Bf3 Ke7 59.Be2 Kd6 60.Bd1 Kd7 61.Bg4 Be8 62.Kc5 Bf7 63.Bd1 Bg6 64.Kb6 Kd6 65.Ba4 Bh5 66.Kb5 Be8+ 67.Kb4 Bh5 68.Bc2 Be2 69.g6 Ke7 70.Kc5 Kf6 71.Kd6 Bg4 72.g7 Kxg7 73.Ke7 Bf3 74.Ba4 Kg6 75.Kxe6 Kg5 76.Bc6 Be4 77.Bxd5 Bd3 78.Bc6 Bf5+ 79.Kd6 Kf4 80.d5
72/78 30:08 7,263,743k 4,017k +3.66 40.fxg5 hxg5 41.hxg5 Kd7 42.Kb4 Bg6 43.Bd1 Kc6 44.Ka5 Kd7 45.Kxb5 Kc7 46.Be2 Kd6 47.Bg4 Be8+ 48.Ka5 Kd7 49.Bd1 Bg6 50.Kb4 Kc6 51.Bg4 Bf7 52.Ka5 Kb7 53.Kb5 Kc7 54.Be2 Bg6 55.Kc5 Kd7 56.Kb6 Ke7 57.Bg4 Kd7 58.Bf3 Ke7 59.Be2 Kd6 60.Bd1 Kd7 61.Bg4 Be8 62.Kc5 Bf7 63.Bd1 Bg6 64.Bf3 Kc7 65.Bg4 Kd7 66.Kb5 Bf7 67.Bd1 Bg6 68.Bf3 Ke7 69.Bg4 Be8+ 70.Kb4 Bg6 71.Bd1 Kd6 72.Ba4 Bf7 73.Kb5 Be8+ 74.Ka5 Bh5 75.Bc2 Be8 76.Kb4 Bh5 77.g6 Ke7 78.Kc5 Kf6
73/95 32:45 7,820,950k 3,979k +3.66 40.fxg5 hxg5 41.hxg5 Kd7 42.Kb4 Bg6 43.Bd1 Kc6 44.Ka5 Kd7 45.Kxb5 Kc7 46.Be2 Kd6 47.Bg4 Be8+ 48.Ka5 Kd7 49.Bd1 Bg6 50.Kb4 Kc6 51.Bg4 Bf7 52.Ka5 Kb7 53.Kb5 Kc7 54.Be2 Bg6 55.Kc5 Kd7 56.Kb6 Kd6 57.Bd1 Kd7 58.Bf3 Be8 59.Be2 Kd6 60.Bd1 Bg6 61.Kb7 Kd7 62.Bg4 Be8 63.Bf3 Bf7 64.Be2 Bg6 65.Bd1 Kd6 66.Kc8 e5 67.dxe5+ Kxe5 68.Kd7 d4 69.cxd4+ Kxd4 70.Kd6 c3 71.bxc3+ Kxc3 72.Ke5 Kd3 73.Kf6 Bh7 74.Bh5 Kd4 75.Bg6 Bg8 76.Be8 Bh7 77.Bh5 Be4 78.Bg6 Bd5 79.Bc2
74/81 33:50 8,062,582k 3,971k +3.66 40.fxg5 hxg5 41.hxg5 Kd7 42.Kb4 Bg6 43.Bd1 Kc6 44.Ka5 Kd7 45.Kxb5 Kc7 46.Be2 Kd6 47.Bg4 Be8+ 48.Ka5 Kd7 49.Bd1 Bg6 50.Kb4 Kc6 51.Bg4 Bf7 52.Ka5 Kb7 53.Kb5 Kc7 54.Be2 Bg6 55.Kc5 Kd7 56.Kb6 Kd6 57.Bd1 Kd7 58.Bf3 Be8 59.Be2 Kd6 60.Bd1 Bg6 61.Bg4 Kd7 62.Kb7 Bf7 63.Bf3 Bg6 64.Bd1 Kd6 65.Bg4 Kd7 66.Kb6 Be8 67.Kc5 Bg6 68.Be2 Ke7 69.Bf3 Kd7 70.Kb4 Kd6 71.Bg4 Kd7 72.Kb5 Bf7 73.Bd1 Bg6 74.Ka5 Kc6 75.Ba4+ Kc7 76.Kb5 e5 77.dxe5 Be8+ 78.Ka5 Bxa4 79.Kxa4 Kd8
75/84 36:26 8,645,447k 3,953k +3.66 40.fxg5 hxg5 41.hxg5 Kd7 42.Kb4 Bg6 43.Bd1 Kc6 44.Ka5 Kd7 45.Kxb5 Kc7 46.Be2 Kd6 47.Bg4 Be8+ 48.Ka5 Kd7 49.Bd1 Bg6 50.Kb4 Kc6 51.Bg4 Kd7 52.Ka4 Bf7 53.Bd1 Bg6 54.Ka5 Ke7 55.Kb5 Kd7 56.Bf3 Kc7 57.Ka4 Be8+ 58.Ka5 Kd7 59.Bg4 Ke7 60.Kb6 Kd6 61.Bd1 Bg6 62.Be2 Bf7 63.Bf3 Bg6 64.Bd1 Kd7 65.Bg4 Be8 66.Kc5 Bf7 67.Be2 Be8 68.Bd1 Bg6 69.Bf3 Kc7 70.Bg4 Kd7 71.Kb5 Bf7 72.Be2 Bg6 73.Ka4 Be8 74.Kb4 Bf7 75.Bd1 Bg6 76.Bg4 Kd6 77.Bf3 Kc7 78.Kc5 Kd7
76/82 44:19 10,400,195k 3,911k +3.66 40.fxg5 hxg5 41.hxg5 Kd7 42.Kb4 Bg6 43.Bd1 Kc6 44.Ka5 Kd7 45.Kxb5 Kc7 46.Be2 Kd6 47.Bg4 Be8+ 48.Ka5 Kd7 49.Bd1 Bg6 50.Kb4 Kc6 51.Bg4 Kd7 52.Ka4 Bf7 53.Bd1 Bg6 54.Ka5 Ke7 55.Kb5 Kd7 56.Bf3 Kc7 57.Ka4 Be8+ 58.Ka5 Kd7 59.Bg4 Ke7 60.Kb6 Kd6 61.Bd1 Bg6 62.Be2 Bf7 63.Bf3 Bg6 64.Bd1 Kd7 65.Bg4 Be8 66.Kc5 Bf7 67.Be2 Be8 68.Bd1 Bg6 69.Bf3 Kc7 70.Bg4 Kd7 71.Kb5 Bf7 72.Be2 Be8 73.Kb4 Bf7 74.Bf3 Kc6 75.Ka5 Kb7 76.Bg4 Kc6 77.Bd1 Bg6 78.Kb4 Kd7 79.Bg4 Ke7
77/83 46:41 10,946,459k 3,907k +3.66 40.fxg5 hxg5 41.hxg5 Kd7 42.Kb4 Bg6 43.Bd1 Kc6 44.Ka5 Kd7 45.Kxb5 Kc7 46.Be2 Kd6 47.Bg4 Be8+ 48.Ka5 Kd7 49.Bd1 Bg6 50.Kb4 Kc6 51.Bg4 Kd7 52.Ka4 Bf7 53.Bd1 Bg6 54.Ka5 Ke7 55.Kb5 Kd7 56.Bf3 Kc7 57.Ka4 Be8+ 58.Ka5 Kd7 59.Bg4 Ke7 60.Kb6 Kd6 61.Bd1 Bg6 62.Be2 Kd7 63.Bf3 Kd6 64.Bd1 Kd7 65.Be2 Kd6 66.Ka5 Kc6 67.Bf3 Be8 68.Bd1 Bg6 69.Kb4 Kd7 70.Ba4+ Kd6 71.Kb5 Kd7 72.Kb6+ Kd8 73.Kc5 Kc7 74.Bd1 Kd7 75.Be2 Ke7 76.Bf3 Kd7 77.Kb4 Kc6 78.Ka4 Bc2+ 79.Ka5 Bg6 80.Ka6 Be8 81.Bg4
78/82 51:57 12,128,203k 3,891k +3.66 40.fxg5 hxg5 41.hxg5 Kd7 42.Kb4 Bg6 43.Bd1 Kc6 44.Ka5 Kd7 45.Kxb5 Kc7 46.Be2 Kd6 47.Bg4 Be8+ 48.Ka5 Kd7 49.Bd1 Bg6 50.Kb4 Kc6 51.Bg4 Kd7 52.Ka4 Bf7 53.Bd1 Bg6 54.Ka5 Ke7 55.Kb5 Kd7 56.Bf3 Kc7 57.Ka4 Be8+ 58.Ka5 Kd7 59.Bg4 Ke7 60.Kb6 Kd6 61.Bd1 Bg6 62.Be2 Kd7 63.Kc5 Ke7 64.Bd1 Kd7 65.Bf3 Kc7 66.Bg4 Kd7 67.Kb4 Ke7 68.Kb5 Kd7 69.Ka6 Be8 70.Bd1 Bg6 71.Kb7 Kd6 72.Bg4 Kd7 73.Be2 Bc2 74.Bh5 Kd6 75.g6 e5 76.g7 Bh7 77.dxe5+ Kxe5 78.Kb6 d4 79.cxd4+ Kf6 80.Kc6 Bg8
79/87 1:06:49 15,863,904k 3,956k +3.66 40.fxg5 hxg5 41.hxg5 Kd7 42.Kb4 Bg6 43.Bd1 Kc6 44.Ka5 Kd7 45.Kxb5 Kc7 46.Be2 Kd6 47.Bg4 Be8+ 48.Ka5 Kd7 49.Bd1 Bg6 50.Kb4 Kc6 51.Bg4 Kd7 52.Ka4 Bf7 53.Bd1 Bg6 54.Ka5 Ke7 55.Kb5 Kd7 56.Bf3 Kc7 57.Ka4 Be8+ 58.Ka5 Kd7 59.Bg4 Ke7 60.Kb6 Kd6 61.Bd1 Bg6 62.Be2 Kd7 63.Kc5 Ke7 64.Bd1 Kd7 65.Bf3 Kc7 66.Be2 Kd7 67.Kb6 Kd6 68.Ka5 Kc6 69.Bf3 Be8 70.Kb4 Bf7 71.Be2 Kb6 72.Bg4 Kc6 73.Ka5 Kb7 74.Bd1 Bg6 75.Bf3 Kc6 76.Ka6 Kc7 77.Bg4 Kc6 78.Bxe6 Kd6 79.Bg4 Bf7 80.Kb5 Bg6 81.Bd1 Be8+ 82.Kb6 Bg6 83.Bg4
80/83 1:15:01 17,912,554k 3,979k +3.66 40.fxg5 hxg5 41.hxg5 Kd7 42.Kb4 Bg6 43.Bd1 Kc6 44.Ka5 Kd7 45.Kxb5 Kc7 46.Be2 Kd6 47.Bg4 Be8+ 48.Ka5 Kd7 49.Bd1 Bg6 50.Kb4 Kc6 51.Bg4 Kd7 52.Ka4 Bf7 53.Bd1 Bg6 54.Ka5 Ke7 55.Kb5 Kd7 56.Bf3 Kc7 57.Ka4 Be8+ 58.Ka5 Kd7 59.Bg4 Ke7 60.Kb6 Kd6 61.Bd1 Bg6 62.Be2 Kd7 63.Kc5 Ke7 64.Bf3 Kd7 65.Kb6 Kd6 66.Bd1 Kd7 67.Bg4 Kd6 68.Kb7 Kd7 69.Be2 Kd6 70.Bd1 Kd7 71.Bf3 Be8 72.Be2 Bg6 73.Bd1 Kd6 74.Kc8 e5 75.dxe5+ Kxe5 76.Kc7 d4 77.cxd4+ Kd5 78.Bg4 Kxd4 79.Kd6 Kd3 80.Kd5 Kc2 81.Kxc4

After 40.fxg5 it seems that hxg5 is forced

[D]4b3/4k3/4p2p/1p1p2P1/2pP3P/K1P5/1P2B3/8 b - - 0 40

Stockfish_18012814_x64_modern:
53/97 1:26:05 25,929,857k 5,019k -10.62 40. ... h5 41.Kb4 Bg6 42.Bd1 Kd7 43.Kc5 Be8 44.Kxb5 Kd6+ 45.Kb4 Bg6 46.b3 cxb3 47.Kxb3 Ke7 48.Bc2 Be8 49.Kb4 Bd7 50.Bg6 e5 51.dxe5 Ke6 52.Bxh5 Kxe5 53.Kc5 Bf5 54.g6 Ke6 55.Kd4 Be4 56.g7 Bh7 57.Bf3 Kf6 58.Bxd5 Kxg7 59.c4 Kf6 60.Be4 Bg8 61.c5 Bf7 62.c6 Bh5 63.Kc5 Ke6 64.Bf5+ Kxf5 65.c7 Kg4 66.c8Q+ Kxh4 67.Qd8+ Kg4 68.Qd4+ Kg3 69.Qe5+ Kg4 70.Kc4 Bg6 71.Kd4 Bf5 72.Qe7 Kh5 73.Qf8 Kg4 74.Qg7+ Kh5 75.Ke3 Bb1 76.Kf4
53/60 1:26:05 25,929,857k 5,019k -1.53 40. ... hxg5 41.hxg5 Kd6 42.Kb4 Bf7 43.Kxb5 Be8+ 44.Kb4 Bf7 45.Bg4 Bg6 46.Bd1 Kc6 47.Ka5 Kd6 48.Ba4 Bh5 49.Kb6 Bg6 50.Bd1 Kd7 51.Kc5 Ke7 52.Bg4 Kd7 53.Bf3 Ke7 54.Be2 Be8 55.Bg4 Bg6 56.Kb5 Bf7 57.Bd1 Bg6 58.Kc5 Kd7 59.Ba4+ Ke7 60.b4 cxb3 61.Bxb3 Bd3 62.Ba4 Bh7 63.Bd1 Bg6 64.Be2 Kd7 65.Ba6 Ke7 66.Bb5 Be4 67.Kc6 Bf5 68.Be2


after 40...hxg5 41.hxg5

[D]4b3/4k3/4p3/1p1p2P1/2pP4/K1P5/1P2B3/8 b - - 0 41

Stockfish_18012814_x64_modern:

40/41 00:03 14,354k 4,235k -1.46 41. ... Kd7 42.Kb4 Kc6 43.Bd1 Bg6 44.Ka5 Kc7 45.Kxb5 Kd6 46.Bg4 Be8+ 47.Ka5 Bf7 48.Kb6 Bg6 49.Bd1 Be8 50.Ka5 Bg6 51.Be2 Be8 52.Kb4 Bf7 53.Bg4 Bg6 54.Bf3 Be8 55.Ka5 Bg6 56.Bd1 Kc6 57.Bg4 Kd6 58.Kb4 Bf7 59.Bd1 Be8 60.Bf3 Bf7 61.Kb5 Bg6 62.Bd1
41/43 00:03 15,733k 4,278k -1.46 41. ... Kd7 42.Kb4 Kc6 43.Bd1 Bg6 44.Ka5 Kc7 45.Kxb5 Kd6 46.Bg4 Be8+ 47.Ka5 Bf7 48.Kb6 Bg6 49.Bd1 Be8 50.Ka5 Bg6 51.Be2 Be8 52.Kb4 Bf7 53.Bf3 Be8 54.Ka5 Bg6 55.Bd1 Be8 56.Kb6 Bg6 57.Bf3 Bf7 58.Be2 Be8 59.Ka5 Bg6 60.Bf3 Be8 61.Kb4 Bf7
42/44 00:04 18,401k 4,375k -1.46 41. ... Kd7 42.Kb4 Kc6 43.Bd1 Bg6 44.Ka5 Kc7 45.Kxb5 Kd6 46.Bg4 Be8+ 47.Ka5 Bf7 48.Kb6 Bg6 49.Bd1 Be8 50.Ka5 Bg6 51.Be2 Be8 52.Kb4 Bf7 53.Bf3 Be8 54.Bd1 Bg6 55.Ka5 Kc6 56.Bg4 Kd6 57.Bf3 Be8 58.Kb4 Bf7 59.Kb5 Bg6 60.Kb6 Bf7 61.Be2 Be8 62.Ka5 Bg6
43/44 00:05 22,299k 4,454k -1.46 41. ... Kd7 42.Kb4 Kc6 43.Bd1 Bg6 44.Ka5 Kc7 45.Kxb5 Kd6 46.Bg4 Be8+ 47.Ka5 Bf7 48.Kb6 Bg6 49.Bd1 Be8 50.Ka5 Bg6 51.Be2 Be8 52.Kb4 Bg6 53.Kb5 Be8+ 54.Kb6 Bf7 55.Ka6 Be8 56.Bd1 Bg6 57.Ka5 Kc6 58.Bf3 Kd6 59.Kb5 Be8+ 60.Kb6 Bf7 61.Be2 Be8 62.Bd1 Bg6 63.Kb5
44/56 00:05 26,476k 4,425k -1.45 41. ... Kd7 42.Kb4 Kc6 43.Bd1 Bg6 44.Ka5 Kc7 45.Kxb5 Kd6 46.Bg4 Be8+ 47.Ka5 Bf7 48.Kb6 Bg6 49.Bd1 Be8 50.Ka5 Bg6 51.Be2 Be8 52.Kb4 Bg6 53.Kb5 Be8+ 54.Kb6 Bf7 55.Ka6 Be8 56.Bd1 Bg6 57.Ka5 Kc6 58.Ba4+ Kd6 59.Kb6 Bh5 60.Bc2 Be2 61.Kb5 Bh5 62.Kb4 Bf3 63.Bh7 Be2 64.g6
45/49 00:08 39,612k 4,469k -1.44 41. ... Kd7 42.Kb4 Kc6 43.Bd1 Bg6 44.Ka5 Kc7 45.Kxb5 Kd6 46.Bg4 Be8+ 47.Ka5 Bf7 48.Kb6 Bg6 49.Bd1 Be8 50.Ka5 Bg6 51.Be2 Be8 52.Kb4 Bg6 53.Bg4 Bf7 54.Ka5 Bg6 55.Bf3 Be8 56.Be2 Bg6 57.Bd1 Kc6 58.Kb4 Kd6 59.Ba4 Bh5 60.Ka5 Bg6 61.Kb6 Bh5 62.Bc2 Bg4 63.g6 Ke7
46/47 00:10 48,491k 4,549k -1.44 41. ... Kd7 42.Kb4 Kc6 43.Bd1 Bg6 44.Ka5 Kc7 45.Kxb5 Kd6 46.Bg4 Be8+ 47.Ka5 Bf7 48.Kb6 Bg6 49.Bf3 Bf7 50.Ka5 Bg6 51.Be2 Be8 52.Kb4 Bg6 53.Bg4 Bf7 54.Ka5 Bg6 55.Ka6 Be8 56.Bf3 Bf7 57.Kb5 Be8+ 58.Kb4 Bg6 59.Bd1 Kc6 60.Ka5 Kd6 61.Kb5 Be8+ 62.Kb6 Bg6 63.Ba4 Bh5 64.Bc2 Bg4
47/49 00:10 49,165k 4,557k -1.44 41. ... Kd7 42.Kb4 Kc6 43.Bd1 Bg6 44.Ka5 Kc7 45.Kxb5 Kd6 46.Bg4 Be8+ 47.Ka5 Bf7 48.Kb6 Bg6 49.Bf3 Bf7 50.Ka5 Bg6 51.Be2 Be8 52.Kb4 Bg6 53.Bg4 Bf7 54.Ka5 Bg6 55.Bd1 Be8 56.Be2 Bg6 57.Kb5 Be8+ 58.Kb6 Bf7 59.Ka6 Be8 60.Bg4 Bg6 61.Bd1 Be8 62.Bc2 Bh5 63.Kb6 Be2 64.g6 Ke7
48/50 00:11 53,923k 4,590k -1.44 41. ... Kd7 42.Kb4 Kc6 43.Bd1 Bg6 44.Ka5 Kc7 45.Kxb5 Kd6 46.Bg4 Be8+ 47.Ka5 Bf7 48.Kb6 Bg6 49.Bf3 Bf7 50.Ka5 Bg6 51.Be2 Be8 52.Kb4 Bg6 53.Bg4 Bf7 54.Ka5 Bg6 55.Bd1 Be8 56.Be2 Bg6 57.Kb5 Be8+ 58.Kb6 Bf7 59.Bd1 Bg6 60.Kb5 Be8+ 61.Ka5 Bf7 62.Kb4 Bg6 63.Ba4 Bh5 64.Bc2 Bf3 65.Bh7 Bd1 66.Bg6
49/53 00:15 74,113k 4,686k -1.44 41. ... Kd7 42.Kb4 Kc6 43.Bd1 Bg6 44.Ka5 Kc7 45.Kxb5 Kd6 46.Bg4 Be8+ 47.Ka5 Bf7 48.Kb6 Bg6 49.Bf3 Bf7 50.Ka5 Be8 51.Be2 Bg6 52.Bd1 Bf7 53.Bg4 Bg6 54.Kb4 Bf7 55.Bd1 Be8 56.Bc2 Bh5 57.Kb5 Be2 58.Kb6 Bh5 59.Bh7 Be2 60.Bg6 Bg4 61.Kb5 Be2 62.Be8 Ke7 63.Bc6 Kd6 64.g6 Bh5 65.Be8 Ke7
50/55 00:16 75,230k 4,689k -1.44 41. ... Kd7 42.Kb4 Kc6 43.Bd1 Bg6 44.Ka5 Kc7 45.Kxb5 Kd6 46.Bg4 Be8+ 47.Ka5 Bf7 48.Kb6 Bg6 49.Bd1 Be8 50.Ka5 Bg6 51.Be2 Be8 52.Kb4 Bg6 53.Bg4 Bf7 54.Bd1 Bg6 55.Ka4 Be8+ 56.Ka3 Bg6 57.Kb4 Bf7 58.Bc2 Bh5 59.Ka5 Bg4 60.Bg6 Bd1 61.Kb5 Be2 62.Kb6 Bd1 63.Bb1 Bg4 64.Bc2 Bh5 65.Bh7 Bd1 66.g6 Bc2
51/55 00:18 89,033k 4,727k -1.44 41. ... Kd7 42.Kb4 Kc6 43.Bd1 Bg6 44.Ka5 Kc7 45.Kxb5 Kd6 46.Bg4 Be8+ 47.Ka5 Bf7 48.Kb6 Bg6 49.Bd1 Be8 50.Ka5 Bg6 51.Be2 Be8 52.Kb4 Bg6 53.Bg4 Bf7 54.Bd1 Bg6 55.Ka5 Bf7 56.Bc2 Bh5 57.Bh7 Be2 58.Bg6 Bd1 59.Kb5 Be2 60.Bc2 Bg4 61.Kb4 Bh5 62.Ka5 Bg4 63.Kb5 Bh5 64.Bh7 Bg4 65.g6 Bf5 66.Kb6 Ke7
52/60- 00:28 135,947k 4,760k -1.51 41. ... Kd7 42.Kb4
52/60- 00:41 200,780k 4,880k -1.59 41. ... Kd7 42.Kb4
52/60- 00:48 238,748k 4,945k -1.70 41. ... Kd7 42.Kb4
52/63+ 00:55 275,355k 5,000k -1.60 41. ... Kd7
52/63- 01:09 347,031k 4,963k -1.86 41. ... Kd7 42.Kb4
52/70 01:11 355,929k 4,968k -1.86 41. ... Kd7 42.Kb4 Kc6 43.Bd1 Bg6 44.Ka5 Kd6 45.Kxb5 Kc7 46.Bg4 Kd6 47.Be2 Bf7 48.Kb6 Be8 49.Bg4 Bf7 50.Bf3 Be8 51.Ka6 e5 52.dxe5+ Kxe5 53.Bd1 Bg6 54.Kb5 d4 55.Kxc4 Bf7+ 56.Kb4 dxc3 57.bxc3 Kf4 58.Bb3 Bh5 59.Bd5 Kxg5 60.c4 Kf6 61.c5 Ke5 62.Bb7 Be2 63.Ka5 Bg4 64.Kb6 Bd7 65.Ba6 Kd5 66.Be2 Be8 67.Bf3+ Ke5 68.Bg2 Kd4 69.Bf1 Kd5 70.Bd3 Bd7 71.Ba6 Be8 72.Bf1 Bd7 73.Bg2+ Kd4 74.Bc6 Bg4 75.Bb5 Bf3 76.Bc6
53/74 01:14 367,533k 4,956k -1.86 41. ... Kd7 42.Kb4 Kc6 43.Bd1 Bg6 44.Ka5 Kd6 45.Kxb5 Kc7 46.Bg4 Kd6 47.Be2 Bf7 48.Kb6 Be8 49.Bg4 Bf7 50.Bf3 Be8 51.Ka6 e5 52.dxe5+ Kxe5 53.Bd1 Bg6 54.Kb5 d4 55.Kxc4 Bf7+ 56.Kb4 dxc3 57.bxc3 Kf4 58.Bb3 Bh5 59.Bd5 Kxg5 60.c4 Kf6 61.c5 Ke5 62.Bb7 Be2 63.Ka5 Bg4 64.Kb6 Bd7 65.Ba6 Kd5 66.Be2 Be8 67.Bf3+ Ke5 68.Bg2 Kd4 69.Bf1 Kd5 70.Bd3 Bd7 71.Ba6 Be8 72.Bf1 Bd7 73.Bg2+ Ke5 74.Bc6 Bf5 75.Bb5 Be4 76.Bc4 Bf3 77.Ba6 Kd4 78.Bb5
54/72 01:15 375,386k 4,949k -1.86 41. ... Kd7 42.Kb4 Kc6 43.Bd1 Bg6 44.Ka5 Kd6 45.Kxb5 Kc7 46.Bg4 Kd6 47.Be2 Bf7 48.Kb6 Be8 49.Bg4 Bf7 50.Bf3 Be8 51.Ka6 e5 52.dxe5+ Kxe5 53.Bd1 Bg6 54.Kb5 d4 55.Kxc4 Bf7+ 56.Kb4 dxc3 57.bxc3 Kf4 58.Bb3 Bh5 59.Bd5 Kxg5 60.c4 Kf6 61.c5 Ke5 62.Bb7 Be2 63.Ka5 Bg4 64.Kb6 Bd7 65.Ba6 Kd5 66.Be2 Be8 67.Bf3+ Ke5 68.Bg2 Kd4 69.Bf1 Kd5 70.Bd3 Bd7 71.Ba6 Be8 72.Bb7+ Kd4 73.Bg2 Bd7 74.Bf3 Ke5 75.Bc6 Bf5 76.Bb5 Be4 77.Ba6
55/73 01:20 397,003k 4,932k -1.86 41. ... Kd7 42.Kb4 Kc6 43.Bd1 Bg6 44.Ka5 Kd6 45.Kxb5 Kc7 46.Bg4 Kd6 47.Be2 Bf7 48.Kb6 Be8 49.Bg4 Bf7 50.Bf3 Be8 51.Ka6 Kc6 52.Be2 Bf7 53.Bg4 Kd7 54.Bd1 Bg6 55.Kb7 Kd6 56.Kb6 Kd7 57.Kc5 Ke7 58.Kc6 Be8+ 59.Kb6 Bf7 60.Kb7 Kd6 61.Bc2 Bh5 62.Kb6 Ke7 63.Kc5 Be2 64.Kc6 Bd3 65.Bd1 Bf5 66.Bh5 Bh3 67.Kb5 Bf5 68.Kc5 Bd3 69.Kb4 Be4 70.Kc5
56/60 01:40 493,683k 4,896k -1.86 41. ... Kd7 42.Kb4 Kc6 43.Bd1 Bg6 44.Ka5 Kd6 45.Kxb5 Kc7 46.Bg4 Kd6 47.Be2 Bf7 48.Kb6 Be8 49.Bg4 Bf7 50.Bf3 Be8 51.Ka6 Kc6 52.Be2 Bf7 53.Bg4 Kd7 54.Bd1 Bg6 55.Kb7 Kd6 56.Kb6 Kd7 57.Kc5 Ke7 58.Kc6 Be8+ 59.Kb6 Bf7 60.Kb7 Kd6 61.Bc2 Bh5 62.Kb6 Ke7 63.Kc5 Be2 64.Kc6 Bd3 65.Bd1 Bf5 66.Bh5 Bd3 67.g6 Kf6 68.Kd7 Bf5 69.g7 Kxg7 70.Ke7
57/64 02:28 724,299k 4,874k -1.86 41. ... Kd7 42.Kb4 Kc6 43.Bd1 Bg6 44.Ka5 Kd6 45.Kxb5 Kc7 46.Bg4 Kd6 47.Be2 Bf7 48.Kb6 Be8 49.Bg4 Bf7 50.Bf3 Be8 51.Ka6 Kc6 52.Be2 Bf7 53.Bg4 Kd7 54.Bd1 Bg6 55.Kb7 Kd6 56.Kb6 Kd7 57.Kc5 Ke7 58.Kc6 Be8+ 59.Kb6 Bf7 60.Kb7 Be8 61.Bc2 Bh5 62.Kc7 Bg4 63.Kc6 Be2 64.Ba4 Bd3 65.Bd1 Be4 66.Bh5 Bf5 67.g6 Kf6 68.Kd6 Bh3 69.g7 Kxg7 70.Ke7 Kh6 71.Bf7
58/63- 03:01 885,069k 4,868k -1.94 41. ... Kd7 42.Kb4
58/63- 03:39 1,067,064k 4,853k -2.01 41. ... Kd7 42.Kb4
58/63- 04:13 1,232,516k 4,870k -2.12 41. ... Kd7 42.Kb4
58/63- 04:52 1,429,126k 4,885k -2.28 41. ... Kd7 42.Kb4
58/70- 05:49 1,695,634k 4,858k -2.50 41. ... Kd7 42.Kb4
58/74 06:44 1,944,090k 4,809k -2.79 41. ... Kd7 42.Kb4 Ke7 43.Kc5 Bg6 44.Kxb5 Kd7 45.Kc5 Ke7 46.Kc6 Be8+ 47.Kb6 Kd6 48.Bd1 Bg6 49.Kb7 Kd7 50.Ba4+ Kd6 51.Kc8 Ke7 52.Kc7 Bd3 53.Bd1 Bg6 54.Kc6 Be8+ 55.Kb6 Bf7 56.Bc2 Bh5 57.Kc7 Bf3 58.Kc6 Be4 59.Bd1 Bg6 60.Bg4 Be8+ 61.Kc7 Bg6 62.Be2 Be8 63.Bf3 Bf7 64.Kb7 Kd7 65.Bg4 Bg6 66.Bd1 Bf7 67.Ba4+ Ke7 68.Kc7 Bh5 69.Bb5 Bf3 70.g6 Be4 71.g7 Bh7 72.Ba4 Kf7 73.Kd7 Bf5 74.Kd6 Kxg7 75.Ke7
59/77 07:33 2,152,306k 4,748k -2.79 41. ... Kd7 42.Kb4 Ke7 43.Kc5 Bg6 44.Kxb5 Kd7 45.Kc5 Ke7 46.Kc6 Be8+ 47.Kb6 Kd6 48.Bd1 Bg6 49.Kb7 Kd7 50.Ba4+ Kd6 51.Kc8 Ke7 52.Kc7 Bd3 53.Bd1 Bg6 54.Kc6 Be8+ 55.Kb6 Bf7 56.Bc2 Bh5 57.Kc7 Bf3 58.Kc6 Be4 59.Bd1 Bg6 60.Kc7 e5 61.dxe5 Ke6 62.Kb6 Kxe5 63.Kc6 Bf7 64.Kc5 Kf4 65.Ba4 Kf5 66.Bc6 Kxg5 67.Kd4 Be6 68.Ke5 Bg4 69.Kxd5 Be2 70.Kd4 Kf4 71.Be8 Kf5 72.Bf7 Kf4 73.Bxc4 Bf3
60/76- 09:08 2,544,951k 4,639k -2.87 41. ... Kd7 42.Kb4
60/76- 10:12 2,817,260k 4,602k -2.94 41. ... Kd7 42.Kb4
60/76- 11:20 3,116,829k 4,582k -3.05 41. ... Kd7 42.Kb4
60/76- 12:56 3,548,197k 4,570k -3.21 41. ... Kd7 42.Kb4
60/76 13:50 3,813,891k 4,595k -3.21 41. ... Kd7 42.Kb4 Ke7 43.Kc5 Bg6 44.Bg4 Be8 45.Bd1 Bf7 46.Kxb5 Be8+ 47.Kc5 Bg6 48.Kc6 Be8+ 49.Kb7 Bf7 50.Kb6 Bg6 51.Kc7 Be4 52.Bh5 Bg2 53.g6 Be4 54.g7 Bh7 55.Bd1 Bg8 56.Bg4 Bh7 57.Bh5 Bg8 58.Bf3 Bh7 59.Bg4 Bg8 60.Be2 Bf7 61.Bf3 Bg8 62.Kc6 Bh7 63.Be2 Bg8 64.Bg4 Bf7 65.Bh5 Bg8 66.Be2 Bh7 67.Kc7 Kf6 68.Kd6 Bg8 69.Bg4 Bf7 70.Bh3 Bg8 71.Kd7 Bf7 72.Bg4 Kxg7
61/65- 16:29 4,527,651k 4,575k -3.29 41. ... Kd7 42.Kb4
61/70- 17:16 4,724,932k 4,558k -3.36 41. ... Kd7 42.Kb4
61/70 17:58 4,908,690k 4,552k -3.43 41. ... Kd7 42.Kb4 Ke7 43.Kc5 Bg6 44.Bg4 Be8 45.Bd1 Kd7 46.Kxb5 Kd6+ 47.Kb6 Bg6 48.Ba4 Ke7 49.Kc7 Bd3 50.Kc6 Bg6 51.Bd1 Bf5 52.Bh5 Bc2 53.Kb7 Kf8 54.Kc7 Ke7 55.Kc6 Ba4+ 56.Kc5 Bb3 57.Kb5 Bc2 58.Kb6 Bb3 59.Bg4 Kd6 60.g6 Bc2 61.Bh5 Ke7 62.g7 Bh7 63.Kc6 Bg8 64.Be2 Kf6 65.Kd7 Kxg7 66.Ke7 Bh7 67.Kxe6 Bd3 68.Bf3 Be4 69.Bh5 Kh6 70.Be8 Kg5 71.Bd7 Bf3 72.Kd6 Kf6 73.Be6 Bd1 74.Bxd5 Bg4 75.Kc5
62/72 18:55 5,152,153k 4,539k -3.43 41. ... Kd7 42.Kb4 Ke7 43.Kc5 Bg6 44.Bg4 Be8 45.Bd1 Kd7 46.Kxb5 Kd6+ 47.Kb6 Bg6 48.Ba4 Ke7 49.Kc7 Bd3 50.Kc6 Bg6 51.Bd1 Bf5 52.Bh5 Bc2 53.Kb7 Kf8 54.Kc7 Ke7 55.Kc6 Ba4+ 56.Kc5 Bb3 57.Kb5 Bc2 58.Kb6 Bb3 59.Bg4 Kd6 60.g6 Bc2 61.Bh5 Ke7 62.g7 Bh7 63.Kc6 Bg8 64.Kc7 Bh7 65.Bd1 Bg8 66.Bg4 Bh7 67.Kc6 Bg8 68.Be2 Bh7 69.Bd1 Bg8 70.Bc2 Ke8 71.Kd6 Kf7 72.Kd7 Kf6 73.Bd1 Kxg7 74.Ke7 Bf7 75.Bg4 Bg6 76.Kxe6 Kh6 77.Kxd5
63/72- 21:50 5,950,972k 4,540k -3.50 41. ... Kd7 42.Kb4
63/75- 25:35 6,981,235k 4,547k -3.58 41. ... Kd7 42.Kb4
63/75- 29:03 7,972,233k 4,573k -3.69 41. ... Kd7 42.Kb4
63/75- 33:08 9,146,156k 4,600k -3.85 41. ... Kd7 42.Kb4
63/77- 37:43 10,411,228k 4,600k -4.07 41. ... Kd7 42.Kb4
63/77- 44:36 12,514,054k 4,675k -4.36 41. ... Kd7 42.Kb4
63/77- 52:43 14,748,700k 4,662k -4.74 41. ... Kd7 42.Kb4
63/86- 1:01:55 17,349,154k 4,669k -5.24 41. ... Kd7 42.Kb4
63/86- 1:15:26 21,361,636k 4,719k -5.89 41. ... Kd7 42.Kb4
63/91- 1:32:19 25,973,127k 4,689k -6.71 41. ... Kd7 42.Kb4
63/100- 2:02:36 34,909,720k 4,745k -7.76 41. ... Kd7 42.Kb4
63/117- 2:53:27 51,562,215k 4,954k -9.10 41. ... Kd7 42.Kb4
63/117 3:05:29 55,813,588k 5,015k -9.10 41. ... Kd7 42.Kb4 Kc6 43.Bd1 Bg6 44.Ka5 Kd6 45.Kxb5 Kc7 46.Bg4 Be8+ 47.Ka6 Kd7 48.Bd1 Bg6 49.Kb6 Kd6 50.Ba4 Bh5 51.Bc2 Be2 52.g6 Ke7 53.Kc7 Kf6 54.Kd6 Bd3 55.b4 Bxc2 56.b5 Bxg6 57.b6 Bf5 58.b7 Kg5 59.Ke5 Kg4 60.b8Q Kf3 61.Kd6 Ke2 62.Kc5 Ke3 63.Qg3+ Kd2 64.Kb4 Ke2 65.Qh2+ Ke3 66.Qg2 Kd3 67.Qf2 Be4 68.Qe1 Bf5 69.Qh1 Ke3 70.Qh6+ Kd3 71.Qg5 Be4 72.Qf4 Bf5 73.Qf1+ Kd2 74.Qf2+ Kd3 75.Qf3+ Kd2 76.Qh5 Kd3 77.Qf7 Ke2 78.Qg8 Kf2 79.Qg5 Ke2 80.Qg3 Kd2 81.Qg8 Ke3 82.Qg1+ Kd3 83.Qd1+ Ke3 84.Qh1 Kd3

[Dann Corbit]

Will another method of detection be more efficient?
I think a case like that will be very hard to resolve by any means.

[asanjuan]

Isn't it a kind of monte-carlo playout?
Since the Alpha-zero success I've been fooling around the idea of the playouts to evaluate the board.

What I found was that in the random game you can't select the moves with absolute randomness. you have to guide the moves with some evaluation (I'm using quiescence now), and after that, select one of the first N moves, using a kind of probability distribution that chooses the moves closer to the first one in evaluation.

Then, after some thousand of games, the statistics of the evaluation of the position became more clear. I found that I was able to detect easily the correct moves in zugzwang situations, and I supose that the fortress are well handled too. Havent't tried yet.

Also, in a 1 ply search, I'm selecting the move with the best LOS, not the move with the best percentage.

Of course, this is still extremely inefficient, is tactically blind, and I'm still trying to build a search of 2-ply, but is a nice experiment.

[Ovyron]

Also, in a 1 ply search, I'm selecting the move with the best LOS, not the move with the best percentage.

Have you tried selecting the move with the lowest lose percentage? Alpha Zero gave the impression of going for positions that first and foremost, it could see no way of losing, so it may explain why no game was lost in the 100 games match.

[asanjuan]

Also, in a 1 ply search, I'm selecting the move with the best LOS, not the move with the best percentage.

Have you tried selecting the move with the lowest lose percentage? Alpha Zero gave the impression of going for positions that first and foremost, it could see no way of losing, so it may explain why no game was lost in the 100 games match.

Not yet. But i would say that LOS is more precise. For example, given the same lose percentage, you select the winner easily with LOS:

a2a3 W=38 D=26 L=37 eval=0,504950 los=0,545812
e2e3 W=40 D=23 L=37 eval=0,515000 los=0,633364