Lonely queen

[Lyudmil Tsvetkov]

Hi everybody.

Amid cheating accusations I would like to post one other very small thread of substance. The topic concerns the 45th game of Clemens Keck's 3Champs, where Stockfish, for a maybe 10th game in a row in a similar situation, lost to Komodo in the peculiar imbalance of queen versus 3 pieces. I would have gladly commented some other games of the tourney, however this was what actually caught my attention, not lastly because the topic of imbalances was recently discussed here, and there might still be some interest.

Here the game:

[pgn][PlyCount "152"]
[EventType "tourn"]
[Source "Doe"]
[Event "3Champs2013"]
[Date "2013.12.04"]
[Round "15.3"]
[White "Stockfish 241113 64 SSE4.2"]
[Black "Komodo 1142.00 64-bit x12-2"]
[Result "0-1"]
[EventDate "2013.11.28"]
[ECO "D18"]
[TimeControl "5400+15"]
[Annotator "0.50;0.05"]
[MLNrOfMoves "76"]
[MLFlags "000100"]


{Intel(R) Xeon(R) CPU E5-2697 v2 @ 2.70GHz 2699 MHz W=36.4 plies; 16.905kN/s; Fritz 14.ctg B=27.8 plies; 17.178kN/s; Fritz 14.ctg}
1. d4 {[%eval 0,0] [%emt 0:00:00]} 1... d5 {[%eval 0,0] [%emt 0:00:00]} 2. c4
{[%eval 0,0] [%emt 0:00:00]} 2... c6 {[%eval 0,0] [%emt 0:00:00]} 3. Nc3
{[%eval 0,0] [%emt 0:00:00]} 3... Nf6 {[%eval 0,0] [%emt 0:00:00]} 4. Nf3
{[%eval 0,0] [%emt 0:00:00]} 4... dxc4 {[%eval 0,0] [%emt 0:00:00]} 5. a4
{[%eval 0,0] [%emt 0:00:00]} 5... Bf5 {[%eval 0,0] [%emt 0:00:00]} 6. e3
{[%eval 50,33] [%emt 0:01:58]} 6... e6 {[%eval 5,23] [%emt 0:01:07]} 7. Bxc4
{[%eval 36,35] [%emt 0:05:08]} 7... Bb4 {[%eval 9,27] [%emt 0:01:14]} 8. O-O
{(Ne5) [%eval 36,35] [%emt 0:00:15]} 8... O-O {[%eval 1,24] [%emt 0:02:20]} 9.
Nh4 {(Qb3) [%eval 34,35] [%emt 0:06:42]} 9... Bg6
{(Bg4) [%eval 0,24] [%emt 0:00:42]} 10. Qb3 {[%eval 56,33] [%emt 0:02:23]} 10...
Qb6 {[%eval 7,27] [%emt 0:00:52]} 11. Nxg6 {[%eval 54,33] [%emt 0:02:59]} 11...
hxg6 {[%eval 4,27] [%emt 0:01:41]} 12. Bd2 {(Rd1) [%eval 54,36] [%emt 0:00:23]}
12... Nbd7 {(c5) [%eval 0,29] [%emt 0:02:48]} 13. Rfd1
{(Ne4) [%eval 54,31] [%emt 0:01:55]} 13... a5
{(Rfc8) [%eval -1,25] [%emt 0:00:59]} 14. Be1
{(f3) [%eval 56,31] [%emt 0:01:21]} 14... Rac8 {[%eval 0,25] [%emt 0:02:48]} 15.
Rab1 {(f3) [%eval 58,31] [%emt 0:00:24]} 15... Qc7
{(e5) [%eval 0,26] [%emt 0:02:37]} 16. Rbc1 {[%eval 54,33] [%emt 0:02:29]} 16...
e5 {(g5) [%eval 0,26] [%emt 0:00:51]} 17. Nb5
{(Bd3) [%eval 68,36] [%emt 0:03:56]} 17... cxb5 {[%eval -10,27] [%emt 0:04:49]}
18. Bxf7+ {[%eval 56,43] [%emt 0:00:00]} 18... Rxf7
{[%eval -12,28] [%emt 0:01:12]} 19. Rxc7 {[%eval 66,41] [%emt 0:00:24]} 19...
Rxc7 {[%eval -11,25] [%emt 0:00:23]} 20. Bxb4 {[%eval 60,40] [%emt 0:07:47]}
20... axb4 {[%eval -9,29] [%emt 0:00:22]} 21. dxe5
{(h3) [%eval 74,39] [%emt 0:00:58]} 21... bxa4 {[%eval -37,25] [%emt 0:01:23]}
22. Qxb4 {[%eval 32,39] [%emt 0:05:38]} 22... Nxe5
{[%eval -36,29] [%emt 0:00:46]} 23. Qxa4 {[%eval 40,39] [%emt 0:01:07]} 23... g5
{(Rc4) [%eval -37,28] [%emt 0:01:49]} 24. h3 {[%eval 58,35] [%emt 0:01:38]}
24... Rfe7 {(Kh7) [%eval -38,26] [%emt 0:00:04]} 25. f3
{[%eval 58,36] [%emt 0:02:19]} 25... Kh7 {[%eval -40,28] [%emt 0:02:46]} 26. Qa3
{(Qb4) [%eval 36,36] [%emt 0:05:54]} 26... Kh6
{(Nc4) [%eval -41,28] [%emt 0:06:12]} 27. e4 {[%eval 35534,37] [%emt 0:08:19]}
27... Ng6 {[%eval -44,29] [%emt 0:02:59]} 28. Qb3
{(Qe3) [%eval 4,39] [%emt 0:00:00]} 28... Rc6 {[%eval -60,24] [%emt 0:00:54]}
29. Qe3 {[%eval 0,39] [%emt 0:00:34]} 29... Nh5
{(Rc2) [%eval -56,26] [%emt 0:00:38]} 30. Kf2 {[%eval 0,36] [%emt 0:01:13]}
30... Rf7 {[%eval -55,25] [%emt 0:00:55]} 31. Rd2
{(Rd8) [%eval 0,38] [%emt 0:00:10]} 31... Ne5
{(Nf6) [%eval -68,25] [%emt 0:02:00]} 32. Rd5 {[%eval 0,36] [%emt 0:01:09]}
32... Re6 {[%eval -62,27] [%emt 0:00:14]} 33. Kg1
{(Qb3) [%eval 0,37] [%emt 0:00:45]} 33... Nf4 {[%eval -89,25] [%emt 0:01:33]}
34. Rc5 {(Kh1) [%eval 0,40] [%emt 0:01:23]} 34... b6
{(Kh7) [%eval -106,26] [%emt 0:01:38]} 35. Rc2
{(Rb5) [%eval -82,35] [%emt 0:01:52]} 35... Rd7 {[%eval -113,25] [%emt 0:01:01]}
36. h4 {[%eval -90,35] [%emt 0:00:01]} 36... Kh5
{[%eval -116,29] [%emt 0:02:26]} 37. Kh2 {[%eval -119,40] [%emt 0:00:00]} 37...
Rd3 {[%eval -115,30] [%emt 0:03:00]} 38. Qc1 {[%eval -133,42] [%emt 0:00:37]}
38... Kxh4 {[%eval -117,30] [%emt 0:01:50]} 39. Rc3
{[%eval -123,43] [%emt 0:00:00]} 39... Kh5 {[%eval -132,31] [%emt 0:02:49]} 40.
Rxd3 {[%eval -151,43] [%emt 0:04:33]} 40... Nfxd3
{[%eval 35534,32] [%emt 0:07:08]} 41. Qc8 {[%eval -171,40] [%emt 0:00:00]} 41...
Rf6 {[%eval -142,29] [%emt 0:00:20]} 42. Qe8+ {[%eval -177,38] [%emt 0:01:43]}
42... Kh6 {[%eval -142,32] [%emt 0:00:22]} 43. Qh8+
{[%eval -173,38] [%emt 0:02:15]} 43... Kg6 {[%eval -142,33] [%emt 0:01:29]} 44.
Kg3 {[%eval -181,38] [%emt 0:01:05]} 44... g4 {[%eval -142,29] [%emt 0:00:59]}
45. fxg4 {[%eval -161,37] [%emt 0:00:52]} 45... Re6
{(Kf7) [%eval -148,28] [%emt 0:00:15]} 46. Qh5+ {[%eval -193,34] [%emt 0:03:52]}
46... Kf6 {[%eval -158,30] [%emt 0:01:30]} 47. Qf5+
{[%eval -197,36] [%emt 0:00:00]} 47... Ke7 {[%eval -167,26] [%emt 0:00:50]} 48.
Qg5+ {[%eval -206,36] [%emt 0:00:00]} 48... Kf7 {[%eval -167,28] [%emt 0:00:19]}
49. Qd8 {(b3) [%eval -214,36] [%emt 0:02:15]} 49... Nc5
{[%eval -165,26] [%emt 0:00:22]} 50. Qd5 {(Qd4) [%eval -218,37] [%emt 0:02:02]}
50... g5 {(Ke7) [%eval -182,29] [%emt 0:00:36]} 51. Kh3
{[%eval -195,36] [%emt 0:00:39]} 51... Ke7 {[%eval -191,30] [%emt 0:00:33]} 52.
Qd4 {[%eval -214,37] [%emt 0:00:13]} 52... Nf7 {[%eval -198,29] [%emt 0:00:38]}
53. e5 {(Qb4) [%eval -260,36] [%emt 0:01:22]} 53... Nxe5
{[%eval -198,29] [%emt 0:00:33]} 54. Kg3 {(Qe3) [%eval -284,35] [%emt 0:00:26]}
54... Nf7 {[%eval -217,29] [%emt 0:01:28]} 55. Qb4
{[%eval -286,39] [%emt 0:00:00]} 55... Nd6 {[%eval -225,30] [%emt 0:00:34]} 56.
Kh2 {(Qd4) [%eval -294,42] [%emt 0:00:06]} 56... Nd7
{[%eval -241,28] [%emt 0:00:27]} 57. Qd2 {(Kg3) [%eval -323,42] [%emt 0:03:40]}
57... Re5 {[%eval -249,27] [%emt 0:00:36]} 58. Qd3
{[%eval -339,36] [%emt 0:00:03]} 58... Ne4 {[%eval -258,29] [%emt 0:00:22]} 59.
Qa3+ {[%eval -355,36] [%emt 0:00:43]} 59... Ke6 {[%eval -258,29] [%emt 0:00:08]}
60. Qa8 {(Qb3+) [%eval -383,37] [%emt 0:03:09]} 60... b5
{[%eval -260,28] [%emt 0:01:41]} 61. Qc8 {(Kg1) [%eval -402,40] [%emt 0:00:00]}
61... Ke7 {[%eval -261,26] [%emt 0:00:17]} 62. Qb7
{(Qa6) [%eval -410,39] [%emt 0:00:43]} 62... Nd6
{[%eval -270,29] [%emt 0:00:17]} 63. Qa7 {[%eval -410,37] [%emt 0:00:23]} 63...
Ke6 {[%eval -270,30] [%emt 0:00:06]} 64. Qa2+ {[%eval -418,37] [%emt 0:00:36]}
64... Rd5 {[%eval -271,30] [%emt 0:00:12]} 65. Kg3
{(Qa7) [%eval -418,38] [%emt 0:00:24]} 65... Nf6
{[%eval -286,26] [%emt 0:00:29]} 66. Qa3 {(Kf3) [%eval -418,32] [%emt 0:00:00]}
66... Nc4 {(Rd4) [%eval -302,29] [%emt 0:01:52]} 67. Qa6+
{[%eval -476,34] [%emt 0:01:09]} 67... Kf7
{(Ke5) [%eval -315,29] [%emt 0:00:10]} 68. b4 {[%eval -434,28] [%emt 0:00:20]}
68... Rd3+ {(Ne5) [%eval -332,30] [%emt 0:01:27]} 69. Kf2
{[%eval -412,28] [%emt 0:00:08]} 69... Nxg4+ {[%eval -332,28] [%emt 0:00:17]}
70. Kf1 {[%eval -408,30] [%emt 0:00:03]} 70... Rd5
{[%eval -332,29] [%emt 0:02:21]} 71. Ke2 {[%eval 35534,38] [%emt 0:00:00]} 71...
Nf6 {(Nge5) [%eval -333,29] [%emt 0:01:23]} 72. Qb7+
{(Qc6) [%eval -470,26] [%emt 0:00:23]} 72... Kg6
{[%eval -350,25] [%emt 0:00:15]} 73. Qb8 {(Qc7) [%eval -539,34] [%emt 0:00:31]}
73... Rd2+ {[%eval -375,30] [%emt 0:00:58]} 74. Ke1
{[%eval -733,37] [%emt 0:00:03]} 74... Ne4 {[%eval -438,27] [%emt 0:00:32]} 75.
Qc8 {(g4) [%eval -909,37] [%emt 0:00:06]} 75... Kf6
{(Rxg2) [%eval -454,29] [%emt 0:00:29]} 76. Qh8+
{(Qe8) [%eval -1141,35] [%emt 0:00:25]} 76... Kf5
{(Ke6) [%eval -516,29] [%emt 0:00:24]} 0-1
[/pgn]

And some diagrams illustrating why 3 pieces are stronger than queen + couple of pawns:

[d]2r2rk1/1pqn1pp1/2p2np1/pN2p3/PbBP4/1Q2P3/1P3PPP/2RRB1K1 b - - 0 17
Stockfish has just played 17.Nb5, a move that involves trading with an ensuing imbalance of Q+2 pawns vs R + 2Ns. Now, in terms of material only, the Q+2Ns would make 11 pawns, while R+2Ns only 10.5 pawns, so Stockfish, which regards this position rather materialistically, might have thought it has an advantage. Komodo knows this is not so.

[d]6k1/1pr2rp1/5n2/4n1p1/Q7/4P3/1P3PPP/3R2K1 w - - 0 24
A critical position: Stockfish sees itself some half a pawn in advantage, while Komodo sees the same margin for itself. Which one is right? Of course, Komodo. Q+2 pawns are considerably weaker than R + 2Ns. You must simply have this imbalance evaluation for Q vs 3 pieces, otherwise relying just on material would be wrong. Obviously, there is not other reason for the Stockfish score, as otherwise the position is pretty simple.

[d]8/1p2r1p1/2r3nk/6pn/4P3/4QP1P/1P4P1/3R2K1 w - - 0 30
The position at move 29. Stockfish already sees fully equal score, while Komodo sticks with its big advantage. Obviously it takes some time for Stockfish to see things changing, some 12 moves from the unfortunate trade, but the developments took their shape right at move 17.

[d]8/3r2p1/1p2r2k/4n1p1/4Pn2/4QP1P/1PR3P1/6K1 w - - 0 36
6 moves on, at move 35, Stockfish already sees itself losing by a large margin, some 80cps. It took 20 moves for the evaluation to change from positive to very negative, but the fate of the game was sealed at move 17.

[d]8/4k3/1p1nr3/2n3p1/1Q4P1/8/1P4PK/8 b - - 0 56
Some moves on, resistance already becomes futile. The 3 pieces are simply too much for the queen.

As was discussed recently in the Elephantiasis thread, the main reason for the predominance of the 3 pieces over the lonely queen could be the fact that the 3 pieces defend each other very well, so the queen can not attack and capture them, but also defend in a group successfully all own pawns, while the queen side can not defend its pawns, when a couple of pieces concentrate their attack on them. This would be true however, in a real chess game, only for the imbalance of Q vs 3 pieces. 4 minor pieces vs 2 rooks + pawns could also exhibit a similar behaviour favouring the 4 pieces over their material values, but, to be honest, I have encountered such imbalances in real chess games just once or twice in my whole life, if ever, so that this imbalance lacks practical importance.

So, if I were an engine developer, I would concentrate specifically only on the imbalance of Q vs 3 pieces where elephantiasis or the additional strength of the more pieces of lower power has effect. You have to have at least 2 pieces in terms of number more than your opponent in real life chess games, in order for the phenomenon to have effect. And that, as said, happens only in the imbalance of Q vs 3 pieces.

I think everytime you have an imbalance of Q+ pawns vs 3 pieces, you might bravely assign some additional evaluation bonus points to the side with more pieces of lower power. And this would be over the bonus for pair of bishops. It would not matter at that what the 3 pieces are: rooks, knights or bishops. I would only exclude from the rule Q vs 2Ns + B, where already the queen might be stronger. In all other cases, however, the rule should be valid.

I would give bonus for:
2Bs + N
2Rs + B, 2Rs + N
2Ns + R, R+B+N



I think in the standard case the bonus could be some 70cps, in the case 2Bs + N 50cps, while with 2 rooks it might amount to even a full pawn. However, a standard bonus of 70cps in all cases would be just fine and would solve some outstanding problems, not only with Stockfish, but with all other engines that do not know the rule. (Are there actually any other engines apart from Komodo that know the rule?)

I must say that, for posting this particular thread and for the illumination that 3 pieces are stronger than a lonely queen + pawns, I should thank Komodo, for the games I saw it playing in different tourneys (hey Larry, you are not angry with me for making public a secret weapon of Komodo, are you?:) ), Harm Mueller with his 7Ns vs 3Qs imbalance (obviously unrealistic imbalance with fully undecided outcome, but an illumination still), and ...
RJ Fischer.

It was a Fischer game that I replayed that finally convinced me that the majority of pieces vs a lonely queen matters. Thank you Robert!

Any comments very much appreciated.
But I would also appreciate very much a possible implementation of this piece of very simple knowledge into a number of chess engines (so that I do not use this blind spot to win a lot of games )

Below the Fischer game:

[pgn][Site "Buenos Aires"]
[Date "1970.??.??"]
[Round "5"]
[White "Quinteros, Miguel"]
[Black "Fischer, Robert J"]
[Result "0-1"]
[Opening "English, Symmetrical Variation"]
[ECO "A35"]
[MLNrOfMoves "42"]
[MLFlags "000000"]

1. c4 g6 2. Nc3 Bg7 3. Nf3 c5 4. d4 cxd4 5. Nxd4 Nc6 6. Nc2 Bxc3+ 7. bxc3 Nf6 8.
f3 d6 9. e4 Be6 10. Be2 Rc8 11. Ne3 Qa5 12. Bd2 Ne5 13. Qb3 Nfd7 14. f4 Nc5 15.
Qc2 Nc6 16. O-O Qa4 17. Qb1 Na5 18. e5 dxe5 19. fxe5 O-O 20. Rf4 Nd7 21. Nd5
Rfe8 22. Qe4 b5 23. Rxf7 Kxf7 24. Qh4 Kg7 25. Nxe7 Qc2 26. Qh6+ Kh8 27. Rc1
Qxc1+ 28. Bxc1 Rxe7 29. cxb5 Nc4 30. Qh4 Rf7 31. Qd4 Kg8 32. Bf4 Rc5 33. Bf3
Rxb5 34. h3 Ncxe5 35. Ba8 Rf8 36. Bxe5 Nxe5 37. Qxa7 Bd5 38. Bxd5+ Rxd5 39. Qe3
Ra5 40. Qe2 Rfa8 41. a4 Nf7 42. h4 Rxa4 0-1
[/pgn]

[d]6k1/p2n1r1p/4b1p1/1Pr1P3/2nQ1B2/2P5/P3B1PP/6K1 w - - 0 33
Q + 2Bs + 3 pawns weaker than 2Rs + 2Ns +B.

[Lyudmil Tsvetkov]

Obviously no interest here (you need a cheating topic to arouse interest), but I must say that the imbalance of queen vs 3 pieces is not that infrequent at all. It appears in 100 games played in this edition of the 3Champs, it appeared in 2 of the previous editions with a similar number of games, it appeared in different other tourneys (I am not quite sure about TCEC, as I did not see all the games there, but the imbalance might have been present). So, I would say, it should be relevant about 1 in 100 games, that makes 10 games out of 1000 and 100 games if 10 000 testing games are played.

I do not know what the elo increase should be if an engine wins 100 more games out of 10 000, but there should be some.

On the other hand, the imbalance of 4 minors vs 2 rooks + pawns should appear only in 1 game of about 10 000, so it really has not practical importance.

[tpetzke]

Hi Lyudmil,

don't be so impatient. It is just 1 day.

I have some imbalance stuff in my eval but no Q vs 3 pieces. I thought this is handled by mobility and threats already. 3 pieces have a much greater mobility (maybe with the exception of 2 knights) than the queen (whose mobility weight is also smaller).

So it might be overlapping.

Also tuning this imbalance is hard because a feature that only occurs in 1% of the games and maybe only in half of those cases changes the outcome of the game is very difficult to tune.

I might give it a try anyway, as this can be handled with the material signature, it at least provides almost no computational costs.

This reminds me of my suggestion to you whether you know of some good balanced late midgame positions for tuning more endgame related stuff.

Here is one sample that seems to give good winning chances to both white and black

[d]5qk1/p2b4/1p4p1/1npPQ3/4P3/P4P2/6P1/1R4K1 w - - 0 1

Thomas...

[hgm]

Also tuning this imbalance is hard because a feature that only occurs in 1% of the games and maybe only in half of those cases changes the outcome of the game is very difficult to tune.

You can of course change that by starting from initial positions that already contain a Q vs 3 pieces imbalance. Then all games are guaranteed to contain the imbalance, and tuning becomes very easy. In fact you would not even have to tune: you would be measuring the value of the imbalance directly, and could use that value directly in your evaluation.

What I usually do is start from positions that delete the minimally needed number of pieces to create the imbalance, and then shuffle the remaining pieces in a Chess960-like way on the back-rank. That gives usually enough positions to play many non-identical games. For orthodox Chess there you can furthermore choose from dozens of strong engines, to let them play out the positions in self play. So it is quite easy to acquire enough statistics (a few thousand games).

[Eelco de Groot]

Hi Lyudmil,

don't be so impatient. It is just 1 day.

I have some imbalance stuff in my eval but no Q vs 3 pieces. I thought this is handled by mobility and threats already. 3 pieces have a much greater mobility (maybe with the exception of 2 knights) than the queen (whose mobility weight is also smaller).

So it might be overlapping.

Also tuning this imbalance is hard because a feature that only occurs in 1% of the games and maybe only in half of those cases changes the outcome of the game is very difficult to tune.

I might give it a try anyway, as this can be handled with the material signature, it at least provides almost no computational costs.

This reminds me of my suggestion to you whether you know of some good balanced late midgame positions for tuning more endgame related stuff.

Here is one sample that seems to give good winning chances to both white and black

[d]5qk1/p2b4/1p4p1/1npPQ3/4P3/P4P2/6P1/1R4K1 w - - 0 1

Thomas...

Yes, I think that certainly even if there are no more immediate replies, this is a very interesting subject. And it's possible that there are more engines who eval this more like Stockfish than Komodo. I stil am not 150% sure the eval of Stockfish is the direct cause of the loss, it may well be, and there also is a slight but definite possibility that somehow this imbalance was completely mistuned in the case of Stockfish I can't be sure yet because when you try to tune the table differently the results among all positions may fall off a cliff, I have not tested yet, but I almost got Scid Serpent to not play 17. Nb5 anymore.

I am puzzled a bit interpreting the depths reached, for this move it says in the .pgn 17. Nb5 {(Bd3) +0.68/36 3:56m } cxb5 {+0.10/27 4:49m }
but Scid Serpent only completes depth 36 after 145 minutes on a Quad 6700, not overclocked, here... Has hardware progressed that much?

Anyway, I almost got the engine to not play 17. Nb5 but exactly around depth 36 it still went wrong. Earlier attemps play the move 17 Nb5 earlier, at lower depths though and I have not tested if these later change their mind and play something else earlier than this version.


[d]2r2rk1/1pqn1pp1/2p2np1/p3p3/PbBP4/1QN1P3/1P3PPP/2RRB1K1 w - -

Engine: Scid Serpent 20131124_047 MP (Q6700, 4 threads, 512 MB)
Latest change: new formula for determining R in Null move. Try No. eight of correcting imbalance Queen vs. other pieces.
by Tord Romstad, Marco Costalba and Joona Kiiski

15/20 0:01 +0.64 17.f3 Nb6 18.Bd3 exd4 19.exd4 Nbd5
20.Nxd5 Nxd5 21.Bxb4 Qb6 22.Be4 Qxb4
23.Bxd5 cxd5 24.Qxb4 axb4 25.Rxc8 Rxc8 (2.149.681) 2055

16/22 0:01 +0.78 17.Bd3 exd4 18.exd4 Qb6 19.Qc4 Kh8
20.Bd2 Bd6 21.h3 Rce8 22.b3 Qb4
23.Re1 Nb6 24.Qxb4 Bxb4 25.Re2 Rxe2
26.Bxe2 (2.960.662) 2092

17/23 0:02 +0.78 17.Qc2 exd4 18.exd4 Nd5 19.Bb3 Bxc3
20.bxc3 Rfe8 21.f3 N7f6 22.Bg3 Nf4
23.Re1 N6d5 24.Bf2 b5 25.c4 bxc4
26.Bxc4 (5.615.810) 2173

18/26 0:02 +0.86 17.Qc2 exd4 18.exd4 Nd5 19.Bb3 Bxc3
20.bxc3 Rfe8 21.Bd2 N7f6 22.Re1 Rcd8
23.Rb1 b6 24.Qd3 Qd6 25.h3 Qa3 26.c4 (6.340.446) 2175

19/27 0:03 +0.78-- 17.Qc2 exd4 18.exd4 Nd5 19.Bb3 Bxc3
20.bxc3 Rfe8 21.Bd2 N7f6 22.Re1 c5
23.Rxe8+ Rxe8 24.Bc4 Nb6 25.Bb5 Re6 (6.797.277) 2184

19/33 0:03 +0.70-- 17.Qc2 exd4 18.exd4 Nb6 19.Bb3 Ng4
20.g3 Kh8 21.Qe4 Qd7 22.f3 Nf6
23.Qh4+ Kg8 24.Bd2 Nbd5 25.Re1 Rfe8 (7.914.888) 2207

19/33 0:03 +0.70 17.Qc2 exd4 18.exd4 Nb6 19.Bb3 Ng4
20.g3 Kh8 21.Ne4 Bxe1 22.Rxe1 Rfd8
23.Qc5 Nd5 24.Bxd5 Rxd5 25.Qxd5 cxd5
26.Rxc7 Rxc7 27.Nd6 Kh7 28.Ne8 (8.456.904) 2204

.
.
.
.

28/40 2:39 +0.80 17.Qc2 Kh8 18.Bb3 Qb6 19.Ba2 exd4
20.Rxd4 Ne5 21.Rcd1 Rcd8 22.h3 Bc5
23.Rxd8 Rxd8 24.Rxd8+ Qxd8 25.Nd5 Nfd7
26.Bc3 b6 27.Nf4 Qe7 28.Bb3 Bb4
29.Bd4 Bc5 30.Ne2 (368.201.187) 2306

29/40 3:01 +0.88++ 17.Qc2 Kh8 18.Bb3 Qb6 19.Ba2 exd4
20.Rxd4 Ne5 21.Rcd1 Rcd8 22.h3 Bc5
23.Rxd8 Rxd8 24.Rxd8+ Qxd8 25.Nd5 Nfd7
26.Bc3 b6 27.Nf4 Qe7 28.Ne2 Bb4
29.Bxb4 axb4 30.f4 (420.157.721) 2310

29/43 4:45 +0.72-- 17.Qc2 Nb6 18.Ba2 exd4 19.Rxd4 c5
20.Nb5 Qe5 21.Rh4 Bxe1 22.Rxe1 g5 (665.374.687) 2330

29/43 5:14 +0.60-- 17.Qc2 Nb6 18.Bb3 exd4 19.exd4 Kh8
20.Rd3 Qf4 21.Bd2 Qf5 22.Re1 Kg8
23.Re5 Qd7 24.Rg3 Nbd5 25.Rh3 Bd6
26.Re1 Bf4 27.Bxd5 Nxd5 28.Ne4 b6
29.Bxf4 Nxf4 (733.268.120) 2332

29/43 5:44 +0.76 17.Qc2 Nb6 18.Bb3 exd4 19.exd4 Kh8
20.Ne4 Bxe1 21.Rxe1 Rfd8 22.Nxf6 gxf6
23.Qc5 Nd5 24.Bxd5 Rxd5 25.Qxd5 cxd5 (805.624.972) 2335

30/43 6:00 +0.68-- 17.Qc2 Nb6 18.Bb3 exd4 19.exd4 Kh8
20.Ne4 Bxe1 21.Rxe1 Rfd8 22.Nxf6 gxf6
23.Qc5 Nd5 24.Bxd5 Rxd5 25.Qxd5 cxd5
26.Rxc7 Rxc7 27.b3 Kg7 (844.407.339) 2340

30/43 6:23 +0.60-- 17.Qc2 Nb6 18.Bb3 exd4 19.exd4 Kh8
20.Ne4 Bxe1 21.Rxe1 Rfd8 22.Nxf6 gxf6
23.Qc5 Nd5 24.Bxd5 Rxd5 25.Qxd5 cxd5
26.Rxc7 Rxc7 27.b3 Kg7 (900.344.224) 2345

30/47 9:28 +0.48-- 17.Qc2 exd4 18.Rxd4 Ne5 19.Be2 Rcd8
20.Nb5 Qe7 21.Bxb4 axb4 22.Rxd8 Rxd8
23.Nd4 Neg4 24.Rd1 Qc7 (1.342.382.766) 2362

30/47 10:08 +0.52 17.Qc2 exd4 18.exd4 Nb6 19.Bb3 Kh8
20.Bd2 Ng4 21.g3 Nf6 22.Bg5 Qd7
23.Na2 Be7 24.Qd3 Nbd5 25.Nc3 Bb4
26.Qf3 Rce8 27.Bxf6 Nxf6 28.d5 Bc5
29.dxc6 Qxc6 30.Qxc6 (1.439.341.892) 2364

31/47 12:16 +0.48 17.Qc2 exd4 18.exd4 Nb6 19.Bb3 Kh8
20.Rd3 Qf4 21.Ne2 Qg4 22.Bxb4 axb4
23.Rg3 Qf5 24.Qxf5 gxf5 25.Nf4 Nfd5
26.Bxd5 Nxd5 27.Nxd5 cxd5 28.Re1 Rc4
29.Rge3 Rxd4 30.Re7 (1.749.401.756) 2376

32/47 14:56 +0.56++ 17.Qc2 exd4 18.exd4 Nb6 19.Ba2 (2.141.696.838) 2388

32/47 16:36 +0.64++ 17.Qc2 Nb6 18.Ba2 exd4 19.Rxd4 c5 (2.379.011.522) 2386

32/47 17:38 +0.58 17.Qc2 Nb6 18.Ba2 exd4 19.Rxd4 c5
20.Rh4 c4 21.Nb5 Qe5 22.Bc3 Bxc3
23.bxc3 Rfd8 24.Rd4 Rd7 25.Rb1 Rc5
26.Re1 Qe6 27.e4 g5 28.Qd1 Qe5
29.Nd6 Ng4 30.g3 (2.527.280.433) 2388

33/47 19:48 +0.56 17.Qc2 Nb6 18.Ba2 exd4 19.Rxd4 c5
20.Rh4 c4 21.Nb5 Qe5 22.Bc3 Bxc3
23.bxc3 Rfd8 24.Rd4 Rd7 25.Rb1 Rc5
26.g3 Qe6 27.e4 g5 28.f3 Qe7 29.Rb2 Qe5
30.Bb1 (2.838.714.094) 2388

34/47 26:30 +0.48-- 17.Qc2 exd4 18.exd4 Nb6 19.Ba2 Kh8
20.Rd3 Kg8 21.Bb3 Qd7 (3.799.361.918) 2388

34/51 40:55 +0.40-- 17.Qc2 exd4 18.Rxd4 Ne5 (5.902.190.144) 2403

34/51 53:33 +0.40 17.Qc2 exd4 18.exd4 Nb6 19.Bb3 Kh7
20.f3 Bd6 21.g3 Bb4 22.Qf2 Qd7
23.Ne4 Nbd5 24.Bc3 Kg8 25.Re1 b6
26.Qd2 Rfd8 27.Qc2 Qf5 28.Qd3 Qd7
29.Bc4 Re8 30.Bxb4 (7.779.323.546) 2420

35/51 60:36 +0.48++ 17.Qc2 exd4 18.exd4 Nb6 (8.820.177.454) 2425

35/51 63:20 +0.56++ 17.Qc2 exd4 18.exd4 Nb6 19.Bb3 (9.214.092.094) 2424

35/57 138:33 +0.46 17.Nb5 cxb5 18.Bxf7+ Rxf7 19.Rxc7 Rxc7
20.Bxb4 axb4 21.dxe5 bxa4 22.Qxb4 Nxe5
23.Qxa4 Rfd7 24.h3 Rxd1+ 25.Qxd1 Rd7
26.Qb3+ Kf8 27.Qb5 Nc6 28.f3 Kf7
29.Kf2 Nd5 30.g3 (20.122.780.800) 2420

36/57 145:55 +0.46 17.Nb5 cxb5 18.Bxf7+ Rxf7 19.Rxc7 Rxc7
20.Bxb4 axb4 21.dxe5 bxa4 22.Qxb4 Nxe5
23.Qxa4 Rfd7 24.h3 Rxd1+ 25.Qxd1 Rd7
26.Qb3+ Kf8 27.Qb5 Nc6 28.f3 Kf7
29.Kf2 Nd5 30.g3 (21.278.355.630) 2430

37/57 160:42 +0.38-- 17.Nb5 cxb5 18.Bxf7+ Rxf7 19.Rxc7 Rxc7
20.Bxb4 axb4 21.axb5 exd4 22.exd4 Nb6
23.Qxb4 Rce7 24.Qd6 Nbd5 25.Ra1 Re2
26.Ra8+ Kh7 (23.524.560.428) 2439

37/57 227:39 +0.36 17.Qc2 exd4 18.exd4 Nb6 19.Bb3 Kh8
20.Qd3 Rfe8 21.Bd2 Qd7 22.Qg3 Nfd5
23.Rf1 Kg8 24.Rfe1 Rxe1+ 25.Rxe1 Re8
26.Rxe8+ Qxe8 27.Qf3 Nf6 28.g3 Qd8
29.Qf4 Kf8 30.Kg2 (33.333.518.914) 2440

38/58 265:23 +0.44++ 17.Qc2 exd4 18.exd4 Nb6 (38.937.049.099) 2445

38/58 284:44 +0.52++ 17.Qc2 (41.728.982.449) 2442

Eelco

[tpetzke]

you would be measuring the value of the imbalance directly, and could use that value directly in your evaluation.

That is a good idea but I probably have to find out first what a pawn advantage means in terms of winning probability for my engine. I don't know that yet.

Thomas...

[hgm]

Well, that could also depend upon the circumstances. The way I always do it is delete a Pawn in the imbalance situation for the side that seems to have the upper hand. E.g. to measure the value of the Bishop pair, I delete N on one side, and B on the other (the side missing N being white in half the cases and black in the other half, to average out any first-move advantage).

The side missing the N (and thus still has the B-pair) then turns out to score, say 59%. So I delete a Pawn for that side as well, and run again. Say it now scores only 41%. Apparently the Pawn was worth 18%. The advantage of the B pair was only 9%, i.e. exactly half. So the B-pair is empirically worth half a Pawn, in opening positions. Once you have done this often enough, you become so certain of the Pawn value that you can even deduce values from only one imbalance.

With 400 games you would have 2% statistical error (1 SD), which then is ~0.11 Pawn. So it is quite easy to determine piece values (or values of more specific imbalances) upto 10 cP, not a big effort at al.

[Lyudmil Tsvetkov]

Hi Lyudmil,

don't be so impatient. It is just 1 day.

I have some imbalance stuff in my eval but no Q vs 3 pieces. I thought this is handled by mobility and threats already. 3 pieces have a much greater mobility (maybe with the exception of 2 knights) than the queen (whose mobility weight is also smaller).

So it might be overlapping.

Also tuning this imbalance is hard because a feature that only occurs in 1% of the games and maybe only in half of those cases changes the outcome of the game is very difficult to tune.

I might give it a try anyway, as this can be handled with the material signature, it at least provides almost no computational costs.

This reminds me of my suggestion to you whether you know of some good balanced late midgame positions for tuning more endgame related stuff.

Here is one sample that seems to give good winning chances to both white and black

[d]5qk1/p2b4/1p4p1/1npPQ3/4P3/P4P2/6P1/1R4K1 w - - 0 1

Thomas...

Hi Thomas.
Thanks for posting.

I am not impatient at all, it is just human nature.

I think the formula works, but only in the case of queen vs 3 pieces. In the case of equal number of pieces but with different types, or one of the sides having just a single piece more it would probably be better to handle the imbalance by tuning piece values or introducing imbalance evaluation in terms of piece types, repetitions, etc. With smaller values of course. There you would be measuring coordination in terms of how the different pieces complement each other.

When you have 3 pieces vs a lone queen, i.e. one of the sides having 2 pieces more, which is already a quantity, what would matter would be rather coordination of the bigger number of pieces in terms of their ability to defend each other and the own pawns, as well as attack the enemy pawns that could not be defended successfully by the lone queen. Complementarity would matter less here, so better stick with the abovementioned formula. I think 50% of imbalances very roughly should consist of an imbalance featuring equal number of pieces, another 40% of imbalances consisting of an imbalance with one of the sides having a piece more (for some enemy pawns), and only about 10% should feature the peculiar 3 pieces vs queen imbalance or even the more exotic 4 minors vs 2 rooks.

It is rare, but a very interesting imbalance, I would say difficult for humans to play and understand.

The position you posted certainly does not belong here, it is just one piece more for one of the sides, not 2.

Regarding the possibility that the imbalance is handled by mobility, I think that in the general case the mobility of the 3 pieces would be only slightly superior to that of the queen (probably just a couple of mobile squares more), so that would not be enough to capture the real balance of powers of both sides; in this imbalance the 3 pieces should usually be stronger by some 70cps to a full pawn additionally.

Sorry for dryly theorising and not being helpful, but nothing else comes to my mind right now...

[mohzus]

Here's another such a game, from the nTCEC (Gull vs Hiarcs).
[pgn][Event "nTCEC - Stage 3 - Season 2"]
[Site "http://www.tcec-chess.net"]
[Date "2013.10.27"]
[Round "8.5"]
[White "Gull 2.3"]
[Black "Hiarcs 14"]
[Result "0-1"]
[WhiteElo "3047"]
[BlackElo "3012"]
[Time "04:25:40"]
[ECO "B33"]
[Opening "Sicilian: Open, 2...Nc6"]
[TimeControl "7200+30"]
[PlyCount "129"]
[Number "40"]
[Termination "GUI adjudication"]
[WhiteType "program"]
[BlackType "program"]
[Variant "normal"]

{ 2 x Intel Xeon E5-2689 }
1.e4 { ev=0.00, d=1, mt=00:00:00, tl=02:00:30, s=0 kN/s, n=0, pv=e4, tb=0, R50=50, wv=0.00, }
c5 { ev=0.00, d=1, mt=00:00:00, tl=02:00:30, s=0 kN/s, n=0, pv=c5, tb=0, R50=50, wv=0.00, }
2.Nf3 { ev=0.00, d=1, mt=00:00:00, tl=02:00:30, s=0 kN/s, n=0, pv=Nf3, tb=0, R50=49, wv=0.00, }
Nc6 { ev=0.00, d=1, mt=00:00:00, tl=02:00:30, s=0 kN/s, n=0, pv=Nc6, tb=0, R50=49, wv=0.00, }
3.d4 { ev=0.00, d=1, mt=00:00:00, tl=02:00:30, s=0 kN/s, n=0, pv=d4, tb=0, R50=50, wv=0.00, }
cxd4 { ev=0.00, d=1, mt=00:00:00, tl=02:00:30, s=0 kN/s, n=0, pv=cxd4, tb=0, R50=50, wv=0.00, }
4.Nxd4 { ev=0.00, d=1, mt=00:00:00, tl=02:00:30, s=0 kN/s, n=0, pv=Nxd4, tb=0, R50=50, wv=0.00, }
Nf6 { ev=0.00, d=1, mt=00:00:00, tl=02:00:30, s=0 kN/s, n=0, pv=Nf6, tb=0, R50=49, wv=0.00, }
5.Nc3 { ev=0.00, d=1, mt=00:00:00, tl=02:00:30, s=0 kN/s, n=0, pv=Nc3, tb=0, R50=49, wv=0.00, }
g6 { ev=0.00, d=1, mt=00:00:00, tl=02:00:30, s=0 kN/s, n=0, pv=g6, tb=0, R50=50, wv=0.00, }
6.Be3 { ev=0.00, d=1, mt=00:00:00, tl=02:00:30, s=0 kN/s, n=0, pv=Be3, tb=0, R50=49, wv=0.00, }
Bg7 { ev=0.00, d=1, mt=00:00:00, tl=02:00:30, s=0 kN/s, n=0, pv=Bg7, tb=0, R50=49, wv=0.00, }
7.Be2 { ev=0.09, d=25, pd=O-O, mt=00:04:48, tl=01:55:41, s=23434 kN/s, n=6809229702, pv=Be2 O-O f4 d6 O-O Bd7 Qd2 Qc7 Nb3 Bg4 Bd3 Be6 h3 a6 Rad1 b5 f5 Bd7 fxg6 fxg6 Nd5 Nxd5 exd5 Ne5 Be4, tb=0, R50=48, wv=0.09, }
O-O { ev=-0.45, d=24, pd=Nb3, mt=00:04:35, tl=01:55:55, s=6043 kN/s, n=1537785119, pv=O-O Nb3 d6 f3 Be6 Nd5 Rc8 c4 Nd7 Qd2 f5 Nf4 Bf7 exf5 gxf5 Rc1 e6, tb=0, R50=48, wv=0.45, }
8.f4 { ev=0.13, d=26, pd=d6, mt=00:04:37, tl=01:51:35, s=25387 kN/s, n=6960726058, pv=f4 d6 O-O Bd7 Qd2 Qc7 h3 Nxd4 Bxd4 e5 fxe5 dxe5 Be3 Bc6 Bd3 b5 Bg5 Nh5 Qf2 a6 a4 bxa4 Qc5 Rfc8 Nd5, tb=0, R50=50, wv=0.13, }
d6 { ev=-0.36, d=25, pd=Nxc6, mt=00:03:10, tl=01:53:15, s=5982 kN/s, n=1032974508, pv=d6 Nxc6 bxc6 O-O Rb8 Rb1 Qa5 a3 Be6 Qd2 Ng4 Nd5 Qd8 Bxg4 Bxg4 Nc3 c5 Qd3 f5 h3 Bh5 b4 cxb4, tb=0, R50=50, wv=0.36, }
9.O-O { ev=0.13, d=25, pd=Bd7, mt=00:03:34, tl=01:48:32, s=26042 kN/s, n=5525381268, pv=O-O Bd7 Qd2 Qc7 h3 Nxd4 Bxd4 e5 fxe5 dxe5 Bf2 b5 Rad1 Bc6 Nd5 Bxd5 exd5 Ne4 Qd3 Nd6 c3 f5 Qe3 a6 Qc5, tb=0, R50=49, wv=0.13, }
Qb6 { ev=-0.29, d=26, pd=Qd3, mt=00:04:27, tl=01:49:19, s=6173 kN/s, n=1390236324, pv=Qb6 Qd3 Ng4 Bxg4 Bxd4 Bxd4 Qxd4 Qxd4 Nxd4 Bd1 e5 Nd5 Be6 Ne3 exf4 Rxf4 Nc6 Be2 Rac8 c3 Ne5 Rd1 Kg7 Rd4 Rfd8, tb=0, R50=49, wv=0.29, }
10.Qd3 { ev=0.16, d=23, pd=Qc7, mt=00:01:55, tl=01:47:08, s=24276 kN/s, n=2799042029, pv=Qd3 Qc7 h3 a6 Nxc6 bxc6 Rad1 a5 Qd2 Bb7 a4 c5 Bf3 Rab8 b3 Qb6 Kh1 Ba6 Rfe1 Bb7 f5 Qb4 Bg5, tb=0, R50=48, wv=0.16, }
Ng4 { ev=-0.44, d=24, pd=Bxg4, mt=00:03:27, tl=01:46:22, s=6706 kN/s, n=147098597, pv=Ng4 Bxg4 Bxd4 Bxd4 Qxd4 Qxd4 Nxd4 Bd1 f5 Nd5 fxe4 Nxe7 Kh8 Re1 Rxf4 Nd5, tb=0, R50=48, wv=0.44, }
11.Nd5 { ev=0.24, d=26, pd=Qd8, mt=00:04:59, tl=01:42:40, s=25206 kN/s, n=7546362556, pv=Nd5 Qd8 Bxg4 Bxg4 Rae1 Bd7 f5 Ne5 Qe2 Re8 Bg5 Bc6 b3 Rc8 f6 Bxf6 Nxc6 bxc6 Nxf6 exf6 Rxf6 Qa5 Ref1 Rcd8 Qd2, tb=0, R50=47, wv=0.24, }
Bxd4 { ev=-0.32, d=24, pd=Bxg4, mt=00:02:55, tl=01:43:58, s=6496 kN/s, n=875148552, pv=Bxd4 Bxg4 Bxe3 Qxe3 Qxb2 f5 Qe5 f6 exf6 Bxc8 Rfxc8 Qh6 f5 exf5 Qg7 Qd2 Kh8 Rad1 Ne5 a4 Nc4 Qf2 Ne5 Ne3 g5, tb=0, R50=50, wv=0.32, }
12.Nxb6 { ev=0.35, d=25, pd=Bxe3, mt=00:01:39, tl=01:41:32, s=24689 kN/s, n=2448431794, pv=Nxb6 Bxe3 Kh1 Bxb6 Bxg4 Bxg4 f5 Bh5 h3 gxf5 exf5 f6 Rfe1 Bf7 a4 Ne5 Qe4 Rac8 a5 d5 Qf4 Bc5 c3 Bd6 Qd2, tb=0, R50=50, wv=0.35, }
Bxe3+ { ev=0.17, d=24, pd=Kh1, mt=00:00:54, tl=01:43:35, s=6580 kN/s, n=226663138, pv=Bxe3 Kh1 Bxb6 Bxg4 Bxg4 f5 Bh5 h3 gxf5 exf5 f6 a4 Bf7 Qd2 Ne5 a5 Bc7 Qh6 Kh8 a6 bxa6, tb=0, R50=50, wv=-0.17, }
13.Kh1 { ev=0.35, d=25, pd=Bxb6, mt=00:00:00, tl=01:42:03, s=0 kN/s, n=0, pv=Kh1 Bxb6 Bxg4 Bxg4 f5 Bh5 h3 gxf5 exf5 f6 Rfe1 Bf7 a4 Ne5 Qe4 Rac8 a5 d5 Qf4 Bc5 c3 Bd6 Qd2 Nc4 Qe2, tb=0, R50=49, wv=0.35, }
Bxb6 { ev=0.00, d=26, pd=Bxg4, mt=00:02:21, tl=01:41:44, s=6778 kN/s, n=948093640, pv=Bxb6 Bxg4 Bxg4 f5 Bh5 a4 Ne5 Qd2 Nc4 Qd3 Ne5, tb=0, R50=50, wv=0.00, }
14.Bxg4 { ev=0.35, d=24, pd=Bxg4, mt=00:00:00, tl=01:42:33, s=0 kN/s, n=0, pv=Bxg4 Bxg4 f5 Bh5 h3 gxf5 exf5 f6 Rfe1 Bf7 a4 Ne5 Qe4 Rac8 a5 d5 Qf4 Bc5 c3 Bd6 Qd2 Nc4 Qe2 Ne5 Qe3, tb=0, R50=50, wv=0.35, }
Bxg4 { ev=0.00, d=26, pd=f5, mt=00:00:26, tl=01:41:48, s=5531 kN/s, n=18901998, pv=Bxg4 f5 Bh5 a4 Ne5 Qd2 Nc4 Qd3 Ne5, tb=0, R50=50, wv=0.00, }
15.f5 { ev=0.39, d=26, pd=Bh5, mt=00:16:59, tl=01:26:06, s=26595 kN/s, n=27102857530, pv=f5 Bh5 a4 Ne5 Qd2 Nc4 Qb4 Ne3 a5 Nxc2 Qd2 Nxa1 Rxa1 Bc7 Rg1 gxf5 Qg5 Bg6 exf5 e5 fxg6 fxg6 Qd2 Rf7 Rc1, tb=0, R50=50, wv=0.39, }
Bh5 { ev=0.00, d=26, pd=a4, mt=00:03:36, tl=01:38:44, s=6900 kN/s, n=648207150, pv=Bh5 a4 Ne5 Qd2 Nc4 Qd3 Ne5, tb=0, R50=49, wv=0.00, }
16.a4 { ev=0.39, d=25, pd=Ne5, mt=00:00:00, tl=01:26:36, s=0 kN/s, n=0, pv=a4 Ne5 Qd2 Nc4 Qb4 Ne3 a5 Nxc2 Qd2 Nxa1 Rxa1 Bc7 Rg1 gxf5 Qg5 Bg6 exf5 e5 fxg6 fxg6 Qd2 Rf7 Rc1 Kg7 Qd5, tb=0, R50=50, wv=0.39, }
Rac8 { ev=0.00, d=24, pd=a5, mt=00:03:30, tl=01:35:44, s=6975 kN/s, n=1223942925, pv=Rac8 a5 Bxa5 Qh3, tb=0, R50=49, wv=0.00, }
17.a5 { ev=0.36, d=25, pd=Bxa5, mt=00:03:19, tl=01:23:48, s=25166 kN/s, n=5017465185, pv=a5 Bxa5 Qh3 Be2 Rf2 Ba6 Qh6 Ne5 Rxa5 Ng4 Qh4 Nxf2 Qxf2 Bd3 Qe3 Bxc2 h3 a6 Kh2 Rc7 fxg6 hxg6 e5 dxe5 Rxe5, tb=0, R50=50, wv=0.36, }
Bd4 { ev=0.00, d=24, pd=h3, mt=00:02:51, tl=01:33:24, s=6719 kN/s, n=1111264158, pv=Bd4 h3 gxf5 exf5 f6 Rf4 Be5 Rh4 Bf7 Qe3 h5 Qh6 Bxb2 Raa4 Ne5 Rxh5 Bxh5 Rh4 Rc4 g4 Rxc2 Qxh5 Rc1 Kg2 Rc2, tb=0, R50=49, wv=0.00, }
18.c3 { ev=0.51, d=24, pd=Bg7, mt=00:04:18, tl=01:20:01, s=25468 kN/s, n=6579583029, pv=c3 Bg7 h3 gxf5 exf5 f6 Qe3 a6 Ra4 Ne5 Qb6 Rb8 Qc7 Nc6 Re1 Rfc8 Qb6 Bf7 Rh4 Ne5 Qa7 h5 Qe3 Kf8 Re4, tb=0, R50=50, wv=0.51, }
Bg7 { ev=0.00, d=26, pd=Rae1, mt=00:02:04, tl=01:31:51, s=6869 kN/s, n=825679372, pv=Bg7 Rae1 gxf5 Qh3 Bg4 Qh4 Bf6 Qg3 Be5 Qh4 Bf6, tb=0, R50=49, wv=0.00, }
19.h3 { ev=0.51, d=24, pd=gxf5, mt=00:00:27, tl=01:20:05, s=23840 kN/s, n=655692323, pv=h3 gxf5 exf5 f6 Qe3 a6 Ra4 Ne5 Qb6 Rb8 Qc7 Nc6 Re1 Rfc8 Qb6 Bf7 Rh4 Ne5 Qa7 h5 Qe3 Kf8 Re4 Bd5 Rd4, tb=0, R50=50, wv=0.51, }
gxf5 { ev=0.33, d=26, pd=exf5, mt=00:02:30, tl=01:29:51, s=7228 kN/s, n=1078819805, pv=gxf5 exf5 f6 Qe3 Bf7 b3 Rc7 c4 Rfc8 Kg1 a6 Qb6 Bh6 Rad1 Bh5 Rd5, tb=0, R50=50, wv=-0.33, }
20.exf5 { ev=0.51, d=24, pd=f6, mt=00:00:13, tl=01:20:23, s=23616 kN/s, n=313887230, pv=exf5 f6 Qe3 a6 Ra4 Ne5 Qb6 Rb8 Qc7 Nc6 Re1 Rfc8 Qb6 Bf7 Rh4 Ne5 Qa7 h5 Qe3 Kf8 Re4 Bd5 Rd4 Bf7 Rh4, tb=0, R50=50, wv=0.51, }
f6 { ev=0.36, d=28, pd=Qe3, mt=00:02:05, tl=01:28:18, s=7186 kN/s, n=883247353, pv=f6 Qe3 Bf7 b3 Rc7 c4 Rfc8 Kg1 a6 Rfe1 Ne5 Qb6 Be8 Rad1 Bh6 Kh2 Bg5 Kg1 Kg7 Kh1 Bd7 Rf1 Kg8, tb=0, R50=50, wv=-0.36, }
21.Qe3 { ev=0.51, d=24, pd=a6, mt=00:00:09, tl=01:20:45, s=22930 kN/s, n=227148365, pv=Qe3 a6 Ra4 Ne5 Qb6 Rb8 Qc7 Nc6 Rh4 Rfc8 Qb6 Bf7 Kh2 Ne5 Re1 h5 Qe3 Rc7 Re4 Rbc8 Qb6 Kf8 Rh4 Nc4 Qf2, tb=0, R50=49, wv=0.51, }
Bf7 { ev=0.37, d=29, pd=b3, mt=00:02:52, tl=01:25:56, s=7191 kN/s, n=1067937594, pv=Bf7 b3 Rc7 c4 Rfc8 Rfe1 a6 Qb6 Ne5 Rad1 Be8 Kh2 Bh6 Kg1 Bd7 Rf1 Bc6 Rfe1 Kh8 Re2 Bd7 Rf1 Bg5 Ree1 Be8, tb=0, R50=49, wv=-0.37, }
22.Kh2 { ev=0.40, d=24, pd=a6, mt=00:03:35, tl=01:17:40, s=25618 kN/s, n=5529253894, pv=Kh2 a6 Qb6 Rb8 b3 Ne5 c4 Rfc8 Ra2 Bh6 Re2 Rc5 g3 Kg7 Rd1 Bg5 Rf2 Bh5 Re1 Kf8 Re4 Nd3 Rf1 Ne5 Kg2, tb=0, R50=48, wv=0.40, }
Rc7 { ev=0.51, d=27, pd=Ra4, mt=00:02:17, tl=01:24:10, s=7350 kN/s, n=980513078, pv=Rc7 Ra4 Rfc8 c4 Ne5 b3 d5 cxd5 Bxd5 Rh4 Bf8, tb=0, R50=48, wv=-0.51, }
23.Ra3 { ev=0.24, d=25, pd=a6, mt=00:03:06, tl=01:15:05, s=25801 kN/s, n=4811151047, pv=Ra3 a6 Ra4 Rfc8 Re1 Ne5 Rb4 h5 Ra1 Kh7 Qe2 Bh6 Qe4 d5 Qe2 Nc4 Qf2 Bg5 g3 Be3 Qe2 Bc5 Rba4 Rg8 Rd1, tb=0, R50=47, wv=0.24, }
a6 { ev=0.68, d=26, pd=Rfa1, mt=00:02:05, tl=01:22:35, s=7429 kN/s, n=892522090, pv=a6 Rfa1 Rfc8 Ra4 Ne5 Rb4 Nc4 Qe4 d5 Qf4 h5 Qf2 Bh6 Rba4 Kh7 Re1 Nd6 h4 Ne4 Qf3 Rc4 Rxc4 Rxc4, tb=0, R50=50, wv=-0.68, }
24.Ra4 { ev=0.00, d=26, pd=Rfc8, mt=00:06:43, tl=01:08:54, s=26524 kN/s, n=10692655687, pv=Ra4 Rfc8 Re1 Ne5 Rb4 h5 Ra1 Kh7 Qe2 Bh6 Qe4 d5 Qe2 Nc4 Qf3 Nd2 Qd3 d4 Qxd4 Nb3 Rxb3 Bxb3 Re1 Bc4 g3, tb=0, R50=49, wv=0.00, }
Ne5 { ev=0.75, d=26, pd=Rfa1, mt=00:02:54, tl=01:20:12, s=7363 kN/s, n=1241033114, pv=Ne5 Rfa1 Rfc8 Rh4 Rc5, tb=0, R50=49, wv=-0.75, }
25.Rb4 { ev=0.00, d=26, pd=Nc4, mt=00:02:08, tl=01:07:17, s=25172 kN/s, n=3230339695, pv=Rb4 Nc4 Qg3 Kh8 Ra1 Bh6 Qf3 Rg8 g4 Ne5 Qg2 Nc6 Rba4 Ne5 Rb4, tb=0, R50=48, wv=0.00, }
Nc4 { ev=1.14, d=27, pd=Qg3, mt=00:02:28, tl=01:18:15, s=7318 kN/s, n=1074432869, pv=Nc4 Qg3 Kh8 Ra1 Bh6 Qf2 Be3 Rxc4 Bxf2 Rxc7 Rg8 g4 Re8 Rf1 Bh4 Rxb7 Bd5 Rb6 Bg5 Re1 Bd2 Re2 Bf4 Kg1 Be5, tb=0, R50=48, wv=-1.14, }
26.Qe2 { ev=-0.32, d=26, pd=Nxa5, mt=00:10:21, tl=00:57:26, s=27299 kN/s, n=16976679967, pv=Qe2 Nxa5 Rh4 Nc4 Rf3 Ne5 Rg3 h5 Qe3 Kh8 b3 d5 Qe2 Rc6 Rxh5 Bxh5 Qxh5 Kg8 Qh4 b6 Qh6 Rf7 Qd2 Rd6 Qe3, tb=0, R50=47, wv=-0.32, }
Nxa5 { ev=1.35, d=24, pd=Qf2, mt=00:02:15, tl=01:16:31, s=7625 kN/s, n=1030016363, pv=Nxa5 Qf2 Rfc8 Re1 Nc6 Rg4 Kh8 Rh4 Ne5, tb=0, R50=50, wv=-1.35, }
27.Rh4 { ev=-0.32, d=28, pd=Nc4, mt=00:02:57, tl=00:55:01, s=24970 kN/s, n=4422943031, pv=Rh4 Nc4 Rf3 Ne5 Rg3 h5 Qe3 Kh8 Qe2 Rc5 b3 b5 Qe4 Bh6 Rxh5 Bxh5 Qh4 Bg7 Qxh5 Kg8 Qh6 Rf7 Qh4 Kf8 Qe4, tb=0, R50=49, wv=-0.32, }
Nc4 { ev=1.45, d=25, pd=Rf2, mt=00:02:25, tl=01:14:37, s=7473 kN/s, n=1001891780, pv=Nc4 Rf2 Rfc8 Qe1 a5 Qa1 b5 b3 Ne5 Qxa5 Rxc3 Qxb5 Rxb3, tb=0, R50=49, wv=-1.45, }
28.Rf3 { ev=-0.48, d=27, pd=Ne5, mt=00:02:19, tl=00:53:13, s=25473 kN/s, n=3558176069, pv=Rf3 Ne5 Rg3 Rc4 Rxc4 Bxc4 Qe3 Kf7 Qd4 b5 Qd1 Kg8 Qh5 Kh8 b4 Bf7 Qh4 h5 Qe4 Bh6 Qd4 Kh7 Kg1 Rh8 h4, tb=0, R50=48, wv=-0.48, }
Rfc8 { ev=1.50, d=27, pd=Qf2, mt=00:01:56, tl=01:13:11, s=7368 kN/s, n=849638274, pv=Rfc8 Qf2 Kh8 Rff4 d5 Qg3 Nd6 Qf2 b5 Qb6 Nc4 Qxa6 Nxb2 Qxb5 Nc4 Rf3 Nd6 Qa5, tb=0, R50=48, wv=-1.50, }
29.Rg3 { ev=-0.51, d=26, pd=Kh8, mt=00:02:35, tl=00:51:08, s=26049 kN/s, n=4056883291, pv=Rg3 Kh8 Qf2 Ne5 Qe2 Rc4 Rxc4 Bxc4 Qe3 Bb5 Kg1 Bd7 Qe4 Bc6 Qf4 a5 Kh2 Bd7 Kg1 Bc6, tb=0, R50=47, wv=-0.51, }
Kh8 { ev=1.58, d=27, pd=Qf2, mt=00:02:14, tl=01:11:28, s=7743 kN/s, n=1037486206, pv=Kh8 Qf2 Bf8 Qc2 a5, tb=0, R50=47, wv=-1.58, }
30.Qf2 { ev=-0.51, d=26, pd=Ne5, mt=00:00:10, tl=00:51:29, s=21205 kN/s, n=225924434, pv=Qf2 Ne5 Qe2 Rc4 Rxc4 Bxc4 Qe3 Bb5 Kg1 Bd7 Qe4 Bc6 Qf4 a5 Qe3 a4 Kh2 b5 Qa7 Bd7 Re3 Rd8 Qb6 Rg8 Re1, tb=0, R50=46, wv=-0.51, }
Bf8 { ev=1.66, d=27, pd=Rd3, mt=00:02:39, tl=01:09:20, s=7429 kN/s, n=1176794986, pv=Bf8 Rd3 a5 Rd1 d5 Ra1 b5 Rf1 a4 Rc1 Ra8 Ra1 Rb8 Qe2 Rbc8 Rd4 Bh6, tb=0, R50=46, wv=-1.66, }
31.Rgg4 { ev=-0.52, d=26, pd=Ne5, mt=00:02:23, tl=00:49:37, s=24770 kN/s, n=3557082348, pv=Rgg4 Ne5 Rg3 Rc5 Qe1 a5 Qe2 Rc4 Rxc4 Bxc4 Qe4 d5 Qe3 a4 Kg1 b5 Kh2 Bg7 Qa7 Re8 Qd4 Rc8 Qa7, tb=0, R50=45, wv=-0.52, }
d5 { ev=1.74, d=26, pd=Rg3, mt=00:01:35, tl=01:08:16, s=7400 kN/s, n=700076917, pv=d5 Rg3 a5, tb=0, R50=50, wv=-1.74, }
32.Qg3 { ev=-0.62, d=24, pd=e5, mt=00:00:54, tl=00:49:14, s=21081 kN/s, n=1152700021, pv=Qg3 e5 Rxh7 Kxh7 Qh4 Bh6 Qxf6 Bh5 Rg6 Bf4 g3 Bxg6 Qxg6 Kh8 gxf4 Nd2 Qh5 Rh7 Qd1 Ne4 Qxd5 Nf6 Qxe5 Rf8 c4, tb=0, R50=49, wv=-0.62, }
e5 { ev=1.51, d=26, pd=Rxh7, mt=00:04:05, tl=01:04:42, s=7365 kN/s, n=1756654452, pv=e5 Rxh7 Kxh7 Qh4 Bh6 Qxf6 Bh5 Rg6 Bf4 g3 Bxg6 Qxg6 Kh8 gxf4 Nd2 Qh5 Rh7 Qd1 Ne4 Qxd5 Nf6 Qxe5 Rf7 Qe6 Rcc7, tb=52, R50=50, wv=-1.51, }
33.Rxh7+ { ev=-0.76, d=25, pd=Kxh7, mt=00:01:03, tl=00:48:42, s=21512 kN/s, n=1372899979, pv=Rxh7 Kxh7 Qh4 Bh6 Qxf6 Bh5 Rg6 Bf4 g3 Bxg6 Qxg6 Kh8 gxf4 Nd2 Qh5 Rh7 Qd1 Ne4 Qxd5 Nf6 Qxe5 Rf8 c4 Rhf7 Qd4, tb=0, R50=50, wv=-0.76, }
Kxh7 { ev=1.65, d=12, pd=Qh4, mt=00:00:00, tl=01:05:13, s=297 kN/s, n=51140, pv=Kxh7 Qh4 Bh6 Qxf6 Bh5 Rg6 Bf4 g3 Bxg6 Qxg6 Kh8 gxf4 Nd2 Qh5 Rh7 Qd1 Ne4 Qxd5 Nf6 Qxe5 Rf7 Qe6 Rcc7, tb=0, R50=50, wv=-1.65, }
34.Qh4+ { ev=-0.78, d=26, pd=Bh6, mt=00:00:38, tl=00:48:35, s=21698 kN/s, n=829996047, pv=Qh4 Bh6 Qxf6 Bh5 Rg6 Bf4 g3 Bxg6 Qxg6 Kh8 gxf4 Nd2 Qh5 Rh7 Qd1 Ne4 Qxd5 Nf6 Qxe5 Rf8 c4 Rhf7 c5 Kh7 Qe1, tb=0, R50=49, wv=-0.78, }
Bh6 { ev=1.65, d=12, pd=Qxf6, mt=00:00:00, tl=01:05:43, s=297 kN/s, n=27444, pv=Bh6 Qxf6 Bh5 Rg6 Bf4 g3 Bxg6 Qxg6 Kh8 gxf4 Nd2 Qh5 Rh7 Qd1 Ne4 Qxd5 Nf6 Qxe5 Rf7 Qe6 Rcc7, tb=0, R50=49, wv=-1.65, }
35.Qxf6 { ev=-0.78, d=25, pd=Bh5, mt=00:00:00, tl=00:49:06, s=0 kN/s, n=0, pv=Qxf6 Bh5 Rg6 Bf4 g3 Bxg6 Qxg6 Kh8 gxf4 Nd2 Qh5 Rh7 Qd1 Ne4 Qxd5 Nf6 Qxe5 Rf8 c4 Rhf7 c5 Kh7 Qe1 Nh5 f6, tb=0, R50=50, wv=-0.78, }
Bh5 { ev=2.03, d=29, pd=Rg6, mt=00:02:05, tl=01:04:09, s=8867 kN/s, n=1083558080, pv=Bh5 Rg6 Bf4 g3 Bxg6 Qxg6 Kh8 gxf4 Nd2 Qh5 Rh7 Qd1 Ne4 Qxd5 Nf6 Qxe5 Rf7 Kg3 Re8 Qd4 Rg7 Kf3 Ne4 h4 b5, tb=894, R50=49, wv=-2.03, }
36.Rg6 { ev=-0.78, d=25, pd=Bf4, mt=00:00:00, tl=00:49:37, s=0 kN/s, n=0, pv=Rg6 Bf4 g3 Bxg6 Qxg6 Kh8 gxf4 Nd2 Qh5 Rh7 Qd1 Ne4 Qxd5 Nf6 Qxe5 Rf8 c4 Rhf7 c5 Kh7 Qe1 Nh5 f6 Nxf6 Qh4, tb=0, R50=49, wv=-0.78, }
Bf4+ { ev=2.24, d=29, pd=g3, mt=00:01:58, tl=01:02:42, s=9732 kN/s, n=1134262898, pv=Bf4 g3 Bxg6 Qxg6 Kh8 gxf4 Nd2 Qh5 Rh7 Qd1 Ne4 Qxd5 Nf6 Qxe5 Rf7 Qd4 Rcc7 c4 Rcd7 Qc3 Kg8, tb=2338, R50=48, wv=-2.24, }
37.g3 { ev=-0.87, d=26, pd=Bxg6, mt=00:01:00, tl=00:49:07, s=23269 kN/s, n=1418265543, pv=g3 Bxg6 Qxg6 Kh8 gxf4 Nd2 Qh5 Rh7 Qd1 Ne4 Qxd5 Nf6 Qxe5 Rf8 c4 Rhf7 c5 Kh7 Qe1 Nh5 f6 Nxf6 Qh4 Kg8 Qg3, tb=0, R50=50, wv=-0.87, }
Bxg6 { ev=2.24, d=27, pd=Qxg6, mt=00:02:22, tl=01:00:50, s=7897 kN/s, n=81451611, pv=Bxg6 Qxg6 Kh8 gxf4 Nd2 Qh5 Rh7 Qd1 Ne4 Qxd5 Nf6 Qd6 Rh6 Qxe5 Rg8, tb=83, R50=50, wv=-2.24, }
38.Qxg6+ { ev=-0.93, d=27, pd=Kh8, mt=00:02:23, tl=00:47:16, s=23545 kN/s, n=3368576208, pv=Qxg6 Kh8 gxf4 Nd2 Qh5 Rh7 Qd1 Ne4 Qxd5 Nf6 Qxe5 Rf8 c4 Rhf7 c5 Kh7 Qe1 Nh5 Qe4 Rd7 f6 Kh8 Qe5 Nxf6 f5, tb=0, R50=50, wv=-0.93, }
Kh8 { ev=2.18, d=10, pd=gxf4, mt=00:00:00, tl=01:01:21, s=297 kN/s, n=7794, pv=Kh8 gxf4 Nd2 Qh5 Rh7 Qd1 Ne4 Qxd5 Nf6 Qxe5 Rf7 b3 Rd8 Kg3 Rd5 Qe6 Rd3, tb=0, R50=49, wv=-2.18, }
39.gxf4 { ev=-0.93, d=27, pd=Nd2, mt=00:00:00, tl=00:47:46, s=0 kN/s, n=0, pv=gxf4 Nd2 Qh5 Rh7 Qd1 Ne4 Qxd5 Nf6 Qxe5 Rf8 c4 Rhf7 c5 Kh7 Qe1 Nh5 Qe4 Rd7 f6 Kh8 Qe5 Nxf6 f5 Rd2 Kh1, tb=0, R50=50, wv=-0.93, }
Nd2 { ev=2.47, d=28, pd=Qh5, mt=00:01:39, tl=01:00:13, s=10167 kN/s, n=969892493, pv=Nd2 Qh5 Rh7 Qd1 Ne4 Qxd5 Nf6 Qe6 Rc6 Qxe5 Rd7 c4 Kg7 c5 Rdc7 b4 a5, tb=2310, R50=49, wv=-2.47, }
40.Qh5+ { ev=-0.93, d=27, pd=Rh7, mt=00:00:49, tl=00:47:28, s=19201 kN/s, n=955853541, pv=Qh5 Rh7 Qd1 Ne4 Qxd5 Nf6 Qxe5 Rf8 c4 Rhf7 c5 Kh7 Qe1 Nh5 Qe4 Rd7 f6 Kh8 Qe5 Nxf6 f5 Rd2 Kh1 Rf7 b4, tb=0, R50=49, wv=-0.93, }
Rh7 { ev=2.48, d=28, pd=Qd1, mt=00:02:18, tl=00:58:26, s=10683 kN/s, n=463487195, pv=Rh7 Qd1 Ne4 Qxd5 Nf6 Qxe5 Rf7 Qe6 Rcc7 Kg3 Rce7 Qb6 Ng8 Kg4 Rf6 Qd4 Rg7 Kf3 Rgf7 Qf2 Nh6 Qh4 Kg7 Qg3 Kh7, tb=1295, R50=48, wv=-2.48, }
41.Qd1 { ev=-0.93, d=26, pd=Ne4, mt=00:00:00, tl=00:47:59, s=0 kN/s, n=0, pv=Qd1 Ne4 Qxd5 Nf6 Qxe5 Rf8 c4 Rhf7 c5 Kh7 Qe1 Nh5 Qe4 Rd7 f6 Kh8 Qe5 Nxf6 f5 Rd2 Kh1 Rf7 b4 Rd3 Kh2, tb=0, R50=48, wv=-0.93, }
Ne4 { ev=2.68, d=28, pd=Qxd5, mt=00:02:14, tl=00:56:42, s=10801 kN/s, n=632240342, pv=Ne4 Qxd5 Nf6 Qxe5 Rf7 Qe6 Rcc7 c4 Rce7 Qb6 Re4 c5 Kg7 c6 bxc6 Qxc6 Rxf4, tb=1398, R50=47, wv=-2.68, }
42.Qxd5 { ev=-0.93, d=26, pd=Nf6, mt=00:00:00, tl=00:48:29, s=0 kN/s, n=0, pv=Qxd5 Nf6 Qxe5 Rf8 c4 Rhf7 c5 Kh7 Qe1 Nh5 Qe4 Rd7 f6 Kh8 Qe5 Nxf6 f5 Rd2 Kh1 Rf7 b4 Rd3 Kh2 Kg7 Qf4, tb=0, R50=50, wv=-0.93, }
Nf6 { ev=2.68, d=27, pd=Qxe5, mt=00:02:28, tl=00:54:46, s=10173 kN/s, n=700718111, pv=Nf6 Qxe5 Rf7 Qe6 Rcc7 b3 Rce7 Qb6 Ng8, tb=4791, R50=49, wv=-2.68, }
43.Qxe5 { ev=-0.93, d=26, pd=Rf8, mt=00:00:10, tl=00:48:50, s=19039 kN/s, n=205223963, pv=Qxe5 Rf8 c4 Rhf7 c5 Kh7 Qe1 Nh5 Qe4 Rd7 f6 Kh8 Qg6 Nxf6 Qh6 Kg8 Qg6 Rg7 Qd3 a5 Qc4 Kh8 Qd4 Rd7 Qc3, tb=0, R50=50, wv=-0.93, }
Rf7 { ev=2.85, d=26, pd=Qd4, mt=00:00:31, tl=00:54:45, s=10459 kN/s, n=282294758, pv=Rf7 Qd4 Rc6 Qe5 Kg7 b3 Rd7, tb=1159, R50=49, wv=-2.85, }
44.Qe6 { ev=-1.57, d=23, pd=Rcc7, mt=00:02:15, tl=00:47:05, s=24510 kN/s, n=3333899495, pv=Qe6 Rcc7 Qe1 Rcd7 b4 Kg7 Qg3 Kf8 Qh4 Ng8 Qe1 Ne7 Qe5 Rxf5 Qe6 Rd2 Kg1 Rf7 Qh6 Rg7 Kf1 Nf5 Qf6 Rf7 Qh8, tb=0, R50=49, wv=-1.57, }
Rcc7 { ev=2.87, d=24, pd=Kg2, mt=00:00:32, tl=00:54:44, s=11089 kN/s, n=317126732, pv=Rcc7 Kg2 Rce7 Qb6 Ng8, tb=883, R50=48, wv=-2.87, }
45.Qe1 { ev=-1.73, d=26, pd=Rcd7, mt=00:05:20, tl=00:42:16, s=21912 kN/s, n=7028694995, pv=Qe1 Rcd7 Kg1 Kh7 Kg2 Rd5 Qe6 Rd2 Kf1 Kg7 b4 Rd3 Qe5 Rxh3 Kg1 Rd3 Kg2 Rfd7 Kf1 Rd1 Ke2 R1d5 Qe6 Rc7 Kf1, tb=0, R50=48, wv=-1.73, }
Rce7 { ev=3.43, d=26, pd=Qh4, mt=00:01:36, tl=00:53:39, s=10964 kN/s, n=1026106182, pv=Rce7 Qh4 Kg8 Qg5 Kf8 Qh6 Ke8, tb=2559, R50=47, wv=-3.43, }
46.Qf2 { ev=-2.33, d=26, pd=Rd7, mt=00:13:55, tl=00:28:52, s=23245 kN/s, n=19416421906, pv=Qh4 Kg8 Qf2 Rd7 c4 Kf8 Qb6 Ne4 Kg2 Rxf5 Qe6 Rd2 Kg1 Nd6 b4 Rf7 Qh6 Ke7 Qg6 Rb2 c5 Nf5 Kh1 Rxb4 c6, tb=0, R50=47, wv=-2.33, }
Rd7 { ev=3.64, d=25, pd=Qh4, mt=00:02:06, tl=00:52:04, s=11226 kN/s, n=552017914, pv=Rd7 Qh4 Kg8 Qg5 Kf8 Qh4 Rd2, tb=784, R50=46, wv=-3.64, }
47.Qe1 { ev=-1.73, d=22, pd=Rd5, mt=00:00:45, tl=00:28:38, s=24107 kN/s, n=1092128714, pv=Qe1 Rd5 Qe6 Kg7 b4 Rd2 Kg3 Rd3 Kg2 Rxc3 Qe1 Rd3 Kh2 Rd5 Qe6 Rfd7 Kg2 Rd2 Kg3 R2d4 Kh4 Rxb4 Kg5 Rf7 Qe5, tb=0, R50=46, wv=-1.73, }
Rd5 { ev=3.79, d=25, pd=Qe6, mt=00:02:03, tl=00:50:33, s=11108 kN/s, n=572073851, pv=Rd5 Qe6 Kg7 b3 Rd2, tb=4174, R50=45, wv=-3.79, }
48.Qh4+ { ev=-2.35, d=23, pd=Kg7, mt=00:02:38, tl=00:26:31, s=21338 kN/s, n=3377445746, pv=Qh4 Kg7 Qg5 Kf8 Qh4 Rxf5 Qh8 Ng8 b4 R7f6 Qh7 b5 Qc7 Rxf4 Kg3 Rf3 Kg2 Rf2 Kg1 Rf1 Kg2 R6f2 Kg3 Ne7 Qd8, tb=0, R50=45, wv=-2.35, }
Kg8 { ev=4.01, d=27, pd=Qg5, mt=00:01:26, tl=00:49:37, s=10865 kN/s, n=916839923, pv=Kg8 Qg5 Kf8 b3 Rd2, tb=4599, R50=44, wv=-4.01, }
49.b4 { ev=-2.50, d=24, pd=Rd2, mt=00:02:16, tl=00:24:47, s=20392 kN/s, n=2774392383, pv=b4 Rd2 Kg1 Rg7 Kf1 Ne4 f6 Rf2 Qxf2 Nxf2 fxg7 Nxh3 Ke2 Nxf4 Ke3 Ne6 Ke4 Kxg7 Ke5 Kf7 Kd6 b5 Kc6 Nf4 Kb6, tb=0, R50=50, wv=-2.50, }
Rxf5 { ev=4.78, d=25, pd=Qh6, mt=00:01:34, tl=00:48:34, s=11732 kN/s, n=1091012965, pv=Rxf5 Qh6 Nd5 Qg6 Kf8 Qh6 Ke7 c4 Nxf4 Qb6 Kf8 h4 Kg7 Qd4 Kh7 Qe4 Ng6, tb=16370, R50=50, wv=-4.78, }
50.Qg3+ { ev=-2.71, d=25, pd=Kh7, mt=00:08:05, tl=00:17:12, s=24754 kN/s, n=12024054148, pv=Qg3 Kh7 Qh4 Kg6 Qg3 Kh6 Qe3 Nh5 Qb6 Kh7 Qe3 Nxf4 Qe4 Kh6 Qe8 Ng6 Qd8 Rf2 Kg1 R2f3 Kh2 Re3 h4 Rfe7 Qd4, tb=0, R50=49, wv=-2.71, }
Kh7 { ev=5.25, d=26, pd=Qh4, mt=00:01:17, tl=00:47:47, s=12180 kN/s, n=937195851, pv=Kh7 Qh4 Rh5 Qe1 Nd5 Qe4 Rhf5 Qf3 Kh6, tb=20741, R50=49, wv=-5.25, }
51.Qh4+ { ev=-3.99, d=25, pd=Kg6, mt=00:01:25, tl=00:16:19, s=17510 kN/s, n=1490369268, pv=Qh4 Kg6 Qg3 Kh6 Qe3 Nh5 Qb6 Kh7 Qe3 Nxf4 Qe4 Kh6 Qe8 Ng6 Qe3 Rg5 h4 Nxh4 Qe6 Kg7 Qc8 Nf5 Qd8 Re7 c4, tb=0, R50=48, wv=-3.99, }
Rh5 { ev=5.50, d=28, pd=Qe1, mt=00:01:40, tl=00:46:39, s=12336 kN/s, n=1234612894, pv=Rh5 Qe1 Nd5 f5 Nf4 Qe4 Rxh3, tb=95701, R50=48, wv=-5.50, }
52.Qe1 { ev=-3.99, d=23, pd=Nd5, mt=00:00:49, tl=00:16:01, s=16565 kN/s, n=815303440, pv=Qe1 Nd5 f5 Nf4 Qe4 Rxh3 Kg1 Rh4 f6 Kh6 Kf1 Rd7 f7 Rxf7 Qe8 Nd5 Qxf7 Rf4 Qxf4 Nxf4 Ke1 Kg5 Kd2 Kf6 c4, tb=0, R50=47, wv=-3.99, }
Nd5 { ev=5.51, d=23, pd=Qe6, mt=00:00:28, tl=00:46:42, s=12258 kN/s, n=131966071, pv=Nd5 Qe6 Rhf5 c4 Nxb4 Qe2 Nc6, tb=1348, R50=47, wv=-5.51, }
53.Qe6 { ev=-4.15, d=24, pd=Rhf5, mt=00:03:05, tl=00:13:27, s=22910 kN/s, n=4242697822, pv=Qe6 Rhf5 c4 Nxb4 Qe8 Nc6 Qe6 Rxf4 Qd5 Rf2 Kh1 a5 Qe4 Kg7 Qg4 Kf6 Qh5 Rf5 Qe2 Ne5 Qe3 Kg7 Qg1 Kh7 Qb1, tb=0, R50=46, wv=-4.15, }
Rhf5 { ev=5.62, d=23, pd=Qe4, mt=00:00:28, tl=00:46:45, s=13462 kN/s, n=222422612, pv=Rhf5 Qe4 Nxc3 Qc4 Nd5, tb=3129, R50=46, wv=-5.62, }
54.Qe4 { ev=-3.99, d=24, pd=Nxc3, mt=00:00:24, tl=00:13:33, s=24826 kN/s, n=622392156, pv=Qe4 Nxc3 Qe1 Nd5 Qh4 Kg7 Qg3 Kf6 Qd3 Nxf4 Qd8 Kg7 Qd4 Kg6 Qe4 Rh7 Qe8 Kf6 Qf8 Ke5 Qc5 Nd5 Qc1 Rfh5 Qe1, tb=0, R50=45, wv=-3.99, }
Nxc3 { ev=6.49, d=24, pd=Qe1, mt=00:01:10, tl=00:46:05, s=12436 kN/s, n=608022107, pv=Nxc3 Qe1 Nd5 Qh4 Kg7 Qg4 Kf6 Qg3 Nxf4, tb=60257, R50=50, wv=-6.49, }
55.Qe1 { ev=-4.15, d=25, pd=Nd5, mt=00:04:21, tl=00:09:44, s=22807 kN/s, n=5958882009, pv=Qe1 Nd5 Qh4 Kg7 Qg3 Kh6 Qd3 Nxf4 Qd4 Rh5 Qh8 Kg6 Qg8 Kf6 Qd8 Kg7 h4 Ng6 Kg3 Rxh4 Qd6 Re4 Qc5 Ne5 Qc8, tb=0, R50=49, wv=-4.15, }
Nd5 { ev=6.71, d=24, pd=Qb1, mt=00:00:28, tl=00:46:08, s=10346 kN/s, n=76188071, pv=Nd5 Qb1 Nxf4 Qe4 Kg6, tb=21436, R50=49, wv=-6.71, }
56.Qh4+ { ev=-4.79, d=25, pd=Kg7, mt=00:03:04, tl=00:07:10, s=22855 kN/s, n=4218624106, pv=Qh4 Kg7 Qg3 Kh6 b5 axb5 Qg8 Nxf4 Qh8 Kg6 Qg8 Kf6 Qd8 Kg7 Qd4 Kh7 Qe4 Nh5 h4 b4 Kh3 b3 Qb1 Kh6 Qc1, tb=0, R50=48, wv=-4.79, }
Kg7 { ev=6.71, d=23, pd=Qg4, mt=00:00:28, tl=00:46:11, s=10023 kN/s, n=39883906, pv=Kg7 Qg4 Kf6 Qh4 Ke6, tb=869, R50=48, wv=-6.71, }
57.Qg3+ { ev=-4.79, d=25, pd=Kh6, mt=00:02:13, tl=00:05:28, s=27704 kN/s, n=3701708529, pv=Qg3 Kh6 b5 axb5 Qg8 Nxf4 Qh8 Kg6 Qg8 Kf6 Qd8 Kg7 Qd4 Kh7 Qe4 Nh5 h4 b4 Kh3 b3 Qb1 Kh6 Qc1 Rf4 Qe3, tb=0, R50=47, wv=-4.79, }
Kf6 { ev=7.13, d=25, pd=b5, mt=00:01:33, tl=00:45:09, s=12254 kN/s, n=1146040284, pv=Kf6 b5 axb5, tb=133521, R50=47, wv=-7.13, }
58.Qg1 { ev=-5.25, d=22, pd=Rxf4, mt=00:01:39, tl=00:04:20, s=18622 kN/s, n=1851178484, pv=Qd3 Nxf4 Qd8 Ke5 Qd2 Nd5 Qh6 Nxb4 Qh8 Ke4 Qh4 Rf4 Qe1 Kd5 Qd2 Kc4 Qc1 Kb5 Qe1 Rf2 Kg3 Rg7 Kh4 Rfg2 Qe5, tb=0, R50=46, wv=-5.25, }
Nxf4 { ev=7.87, d=26, pd=Qd4, mt=00:01:49, tl=00:43:51, s=13162 kN/s, n=1425908274, pv=Nxf4 Qd4 Kg6 Qe4 Kh7 Qe8 Ng6, tb=101679, R50=50, wv=-7.87, }
59.Qb6+ { ev=-5.26, d=22, pd=Kg7, mt=00:00:33, tl=00:04:18, s=14080 kN/s, n=474028505, pv=Qb6 Kg7 Qd4 Kg6 Qe4 Rh7 Qe8 Kf6 Qf8 Ke5 Qc5 Nd5 Qc1 Rfh5 Qe1 Kf6 Qf2 Ke6 Qe2 Kd6 Qe8 Kc7 Qe4 Rxh3 Kg1, tb=0, R50=49, wv=-5.26, }
Kg7 { ev=8.25, d=25, pd=Qg1, mt=00:01:11, tl=00:43:11, s=13382 kN/s, n=962018895, pv=Kg7 Qg1 Kh7, tb=149976, R50=49, wv=-8.25, }
60.Qd4+ { ev=-5.54, d=22, pd=Kg6, mt=00:00:39, tl=00:04:10, s=17014 kN/s, n=666766715, pv=Qd4 Kg6 Qe4 Rh7 Qe8 Kf6 Qf8 Ke5 Qc5 Nd5 Qc1 Rfh5 Qe1 Kf6 Qf2 Ke6 Qe2 Kd6 Qe8 Kc7 Qe4 Rxh3 Kg1 Rh1 Kf2, tb=0, R50=48, wv=-5.54, }
Kg8 { ev=15.17, d=28, pd=Qg1, mt=00:02:43, tl=00:40:58, s=13607 kN/s, n=2228059026, pv=Kg8 Qg1 Kh7 Qb1 Kh6 Qb3 Nxh3, tb=923081, R50=48, wv=-15.17, }
61.Qd8+ { ev=-5.54, d=21, pd=Rf8, mt=00:00:27, tl=00:04:14, s=8163 kN/s, n=224773832, pv=Qd8 Rf8 Qd4 Ne2 Qg4 Kh7 Qe4 Kh8 Qe3 Kg7 Qb6 Rf2 Kh1 Rf1 Kg2 R8f2 Qxf2 Rxf2 Kxf2 Nd4 Ke3 Nc6 Kd3 b5 Ke4, tb=0, R50=47, wv=-5.54, }
Rf8 { ev=15.39, d=25, pd=Qh4, mt=00:00:25, tl=00:41:04, s=14969 kN/s, n=331858030, pv=Rf8 Qh4 Rh5 Qg3 Kh7, tb=91770, R50=47, wv=-15.39, }
62.Qe7 { ev=-8.05, d=25, pd=Ne2, mt=00:00:31, tl=00:04:14, s=14705 kN/s, n=468474226, pv=Qe7 Ne2 Qe3 b5 Qe6 Kg7 Qe7 R8f7 Qe3 Rf2 Kh1 Rf1 Kg2 R7f2 Qxf2 Rxf2 Kxf2 Nd4 Kf1 Nc2 Ke2 Nxb4 Ke3 Nc6 Ke2, tb=0, R50=46, wv=-8.05, }
Rh5 { ev=306.08, d=27, mt=00:08:39, tl=00:32:56, s=14217 kN/s, n=1697202881, pv=Rh5, tb=3617800, R50=46, wv=-306.08, }
63.h4 { ev=-6.60, d=21, pd=Rf7, mt=00:01:03, tl=00:03:42, s=17203 kN/s, n=1089345346, pv=h4 Rf7 Qd8 Kh7 Qe8 Kg7 b5 Rxb5 Qe4 Rbf5 Qd4 R7f6 Qg1 Kh6 Qc1 b5 Kg3 b4 Kf3 a5 Ke4 a4 Qg1 a3 Qg8, tb=0, R50=50, wv=-6.60, }
Ng6 { ev=#19, d=27, pd=Qe2, mt=00:00:54, tl=00:32:32, s=13374 kN/s, n=461109778, pv=Ng6 Qe2 Rxh4 Kg3 Rff4 Qe6 Kg7 Qc8 Kh6 Qe6 Rh5 Qxg6 Kxg6 Kxf4 Rh4 Ke3 Rxb4 Ke2, tb=1434783, R50=49, wv=-#19, }
64.Qe3 { ev=-6.54, d=19, pd=Rxh4, mt=00:00:38, tl=00:03:35, s=12309 kN/s, n=475833008, pv=Qe3 Rxh4 Kg3 Rxb4 Kh3 Nf4 Kg3 a5 Qe7 Rb5 Qd7 Rb2 Kh4 Rb4 Kg3 b5 Kh2 a4 Qg4 Kh7 Qd7 Kh8 Qd6 Rb2 Kh1, tb=0, R50=49, wv=-6.54, }
Rxh4+ { ev=#17, d=27, pd=Kg3, mt=00:00:43, tl=00:32:20, s=13057 kN/s, n=446101109, pv=Rxh4 Kg3 Rhf4 Qb6 Kg7 Qxb7 R8f7 Qxa6 R7f5 Qb7 Kh6 Qh1 Rh5 Qxh5 Kxh5, tb=1586579, R50=50, wv=-#17, }
65.Kg1 { ev=-18.18, d=22, pd=Rg4, mt=00:01:01, tl=00:03:04, s=19801 kN/s, n=1220798616, pv=Kg3 Rxb4 Qh6 Rf6 Qg5 Rb3 Kh2 Kg7 Qc1 Nf4 Qa1 Rh3 Kg1 Kf7 Qa2 Ke7 Qc4 Rg6 Kf1 Rf3 Ke1 Nd3 Ke2 Rf2 Kxd3, tb=0, R50=49, wv=-18.18, }
0-1 [/pgn]
At move 21 Gull thought it was ahead (+0.51) while Hiarcs thought that it had the lead itself (-0.37). Overall it took Gull many moves to realize that the queen wasn't good enough to win nor to draw.

[tpetzke]

Hi Lyudmil,

the position I posted was not especially for the lonely queen.

It is a position that is fairly imbalanced, has from all piece types at least 1 sample and has winning chances for both sides.

This makes it a good position to start games from, when you want to tune the terms especially present in the endgame.

It is not trivial to find such positions.

The imbalance stuff I put on my todo list. It is worth a try.