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Subject: Re: Chess Engine evaluation question

Author: Robert Hyatt

Date: 13:36:24 12/01/03

Go up one level in this thread


On December 01, 2003 at 04:35:13, Tony Werten wrote:

>On December 01, 2003 at 03:44:30, Russell Reagan wrote:
>
>>On December 01, 2003 at 02:28:19, Les Fernandez wrote:
>>
>>>I think that is what I am looking for.  I assume the 00:16 is 16 seconds.
>>
>>Correct.
>>
>>>Is ruffian available for download?
>>
>>Yes. It comes with Arena.
>>
>>>One more thing, if you read this again, can you provide me with a similar print
>>>out but for a 3 min interval?
>>
>>It just so happens that I left Ruffian analyzing by accident, so here are the
>>results up to 15 plies. Also, the time is not really an interval. The time is
>>just how long it took to finish that particular depth of search. It just takes
>>however long it takes.
>
>Interesting beheavior of Ruffian that I also noticed in XiniX. Even when
>computing the full score for every move, the effective braching factor is only
>3. ( I wanted to use that for multithreading at first )
>
>Tony

If that is true, Ruffian is doing something fishy.  IE what should happen
is that the size of the tree (to search every root move independently and get
a score/pv for each one) should increase by roughly a factor of W/2, the number
of moves at the root.

IE for normal alpha/beta, to depth=14, you need to search roughly

N = 38^7 + 38^7 +1 nodes

Roughly 2.28 x 10^11 nodes.  or
228,000,000,000

When you search all root moves independently, you wind up doing 38 13 ply
searches instead:

N = 38 * (38^6 + 38^7 +1) nodes.

Roughly 4.46 x 10^12 or
4,460,000,000,000

I'd much rather do that first search than that last one.

That is a factor of roughly 16X slower

The latter is approximately 38 times bigger.  I don't see how to do it any
other way and return _real_ values/PVs for every root move.  (note I assume
38 legal moves on average, for the above math)


>
>>
>>Out of curiosity, why did you pick 90 seconds and the top 5 moves? Why not other
>>values?
>>
>> 8   00:02 -0.45   g4 d5 h3 Nc6 d4 Nf6 Bf4 e6
>> 8   00:02 -0.43   f3 e5 e3 Nc6 f4 e4 Nc3 Nf6
>> 8   00:02 -0.43   b4 Nf6 d4 d5 Nc3 Nc6 b5 Nb4
>> 8   00:02 -0.41   b3 Nc6 d4 d5 Nf3 Bf5 c4 Nf6
>> 8   00:02 -0.40   a3 Nc6 d4 d5 Bf4 Bf5 Nc3 Nf6
>> 8   00:02 -0.40   h3 Nc6 d4 d5 Bf4 Bf5 Nc3 Nf6 g4 Bg6 Nb5
>> 8   00:02 -0.39   c3 Nc6 Nf3 d5 d3 e5 d4 e4
>> 8   00:02 -0.39   a4 Nf6 d4 d5 Bf4 Nc6 Nc3 Bf5
>> 8   00:02 -0.39   h4 Nf6 d4 d5 Bf4 Nc6 Nc3 Bf5 Nb5
>> 8   00:02 -0.37   g3 Nf6 d4 Nc6 Bh3 e6 Nf3 Bd6
>> 8   00:02 -0.33   Nh3 d5 d4 Nf6 Nc3 Nc6 Bf4 Bf5
>> 8   00:02 -0.31   Na3 Nf6 d4 Nc6 Bf4 Nd5 Nh3 Nxf4 Nxf4
>> 8   00:02 -0.30   f4 Nf6 Nf3 e6 Nc3 Nc6 e4 Bc5
>> 8   00:02 -0.19   d3 Nc6 e4 Nf6 Nc3 d5 exd5 Nxd5 Nf3 Bg4 Bd2 e5
>> 8   00:02 -0.19   e3 Nf6 Nf3 Nc6 d4
>> 8   00:02 -0.17   c4 Nf6 Nc3 e5 Nf3 Nc6 d4 exd4 Nxd4 Bc5 Nxc6
>> 8   00:02 -0.09   Nf3 Nf6 d4 e6 e3 Nc6 Nc3 Bb4 Bd3 Nd5 Bd2 Nxc3
>> 8   00:02 -0.09   Nc3 d5 d4 Nf6 Bf4 e6 Nb5 Bb4+ c3 Ba5
>> 8   00:02 -0.09   d4 Nf6 Nc3 d5 Bf4 e6 Nb5 Bb4+ c3 Ba5
>> 8   00:02  0.07   e4 Nc6 Nf3 Nf6 Nc3 e5 d4 exd4 Nxd4
>>---------------------------------------------------------------------------
>> 9   00:06 -0.37   g4 d5 g5 Nc6 d4 Bf5 Bf4 Nb4 Na3
>> 9   00:06 -0.31   b4 Nf6 Nf3 e6 a3 Bd6 Nc3 0-0 e4
>> 9   00:06 -0.27   f3 e5 Nc3 Nc6 e4 Bc5 Bb5 Qh4+ g3 Qg5
>> 9   00:06 -0.25   f4 Nf6 Nf3 Nc6 Nc3 d5 e3 Bf5 Bb5
>> 9   00:06 -0.24   b3 Nf6 d4 e6 Nf3 Nc6 Nc3 Bb4 Bd2
>> 9   00:06 -0.23   c3 Nc6 Nf3 d5 d4 Bf5 Bf4 Nf6 Nbd2
>> 9   00:06 -0.20   a3 Nc6 d4 d5 Bf4 Bf5 Nc3 Nf6 Nf3
>> 9   00:06 -0.20   h3 Nc6 d4 d5 Bf4 Nf6 Nc3 Bf5 Nf3
>> 9   00:06 -0.19   a4 Nf6 d4 d5 Bf4 Nc6 Nc3 Bf5 Nf3 e6
>> 9   00:06 -0.19   h4 Nf6 d4 d5 Bf4 Nc6 Nf3 Bf5 Nc3
>> 9   00:06 -0.19   e3 Nf6 Nf3 Nc6 d4
>> 9   00:06 -0.19   d3 Nc6 e4 Nf6 Nc3 d5 exd5 Nxd5 Nf3 Bg4 Bd2 e5
>> 9   00:06 -0.17   g3 Nf6 d4 Nc6 Nc3 d5 Bf4 Bg4 Nf3
>> 9   00:06 -0.17   c4 Nf6 Nc3 e5 Nf3 Nc6 d4 exd4 Nxd4 Bc5 Nxc6
>> 9   00:06 -0.16   Nh3 d5 d4 Nf6 Nc3 Nc6 Bf4 Bf5 Ng5 e6
>> 9   00:06 -0.14   Na3 Nf6 d4 Nc6 Nf3 d5 Bf4 Bf5 Nb5
>> 9   00:06 -0.09   Nf3 Nf6 d4 e6 e3 Nc6 Nc3 Bb4 Bd3 Nd5 Bd2 Nxc3
>> 9   00:06 -0.09   Nc3 d5 d4 Nf6 Bf4 e6 Nb5 Bb4+ c3 Ba5
>> 9   00:06 -0.09   d4 Nf6 Nc3 d5 Bf4 e6 Nb5 Bb4+ c3 Ba5
>> 9   00:06  0.07   e4 Nc6 Nf3 Nf6 Nc3 e5 d4 exd4 Nxd4
>>---------------------------------------------------------------------------
>>10   00:17 -0.41   g4 d5 h3 Nc6 d4 e6 Nc3 Nf6 g5 Nd7
>>10   00:17 -0.40   b4 Nf6 Nf3 e6 b5 d5 Ba3 Bxa3 Nxa3 Qd6 Qc1
>>10   00:17 -0.36   f3 e5 e3 Nc6 f4 d5 Bb5 exf4 exf4 Qh4+ g3 Qg4
>>10   00:17 -0.36   a4 d5 d4 Nc6 Bf4 Bf5 Ra3 Nf6 Re3 e6
>>10   00:17 -0.36   b3 Nc6 Nf3 Nf6 d4 d5 Bf4 Nh5 Bg5 Bf5
>>10   00:17 -0.33   h4 Nc6 e4 Nf6 Nc3 e5 Nf3 Bc5 Bb5 d6
>>10   00:17 -0.33   c3 Nf6 Nf3 Nc6 d4 d5 Bf4 Bf5 Nbd2 e6
>>10   00:17 -0.32   f4 Nf6 Nf3 e6 Nc3 d5 e3 Nc6 Bb5 Bc5
>>10   00:17 -0.31   g3 Nf6 d4 d5 Nc3 Nc6 Nf3 Bf5 Bf4 e6
>>10   00:17 -0.30   a3 Nc6 d4 d5 Nf3 Nf6 Nc3 Bf5 Bf4 e6
>>10   00:17 -0.30   Nh3 d5 d4 Nc6 Bf4 Bf5 Na3 Rc8 Nb5 Nf6
>>10   00:17 -0.29   Na3 Nf6 Nf3 e6 e3 Nc6 d4 Bb4+ c3 Bxa3 bxa3 0-0
>>10   00:17 -0.28   h3 Nc6 d4 d5 Nc3 Nf6 Nf3 Bf5 g4 Bg6
>>10   00:17 -0.19   e3 Nf6 Nf3 Nc6 d4
>>10   00:17 -0.19   d3 Nc6 e4 Nf6 Nc3 d5 exd5 Nxd5 Nf3 Bg4 Bd2 e5
>>10   00:17 -0.17   c4 Nf6 Nc3 e5 Nf3 Nc6 d4 exd4 Nxd4 Bc5 Nxc6
>>10   00:17 -0.09   Nf3 Nf6 d4 e6 e3 Nc6 Nc3 Bb4 Bd3 Nd5 Bd2 Nxc3
>>10   00:17 -0.09   Nc3 d5 d4 Nf6 Bf4 e6 Nb5 Bb4+ c3 Ba5
>>10   00:17 -0.09   d4 Nf6 Nc3 d5 Bf4 e6 Nb5 Bb4+ c3 Ba5
>>10   00:17  0.07   e4 Nc6 Nf3 Nf6 Nc3 e5 d4 exd4 Nxd4
>>---------------------------------------------------------------------------
>>11   00:58 -0.39   g4 d5 h3 Nc6 d4 h5 g5 Bf5 Nf3 Nb4 Na3
>>11   00:58 -0.35   b4 e5 Bb2 Nf6 Bxe5 Nc6 Bg3 Bxb4 c3 Bc5 Nf3
>>11   00:58 -0.30   f3 e5 e3 Nc6 Nc3 d6 f4 Nf6 Nf3 Bf5 Bc4
>>11   00:58 -0.27   b3 Nf6 Nf3 Nc6 Nc3 d5 e3 Bf5 Bb5 a6 Nd4
>>11   00:58 -0.26   a4 Nf6 Nc3 d5 Nf3 Nc6 d4 Ne4 Ne5 Bf5 Nxc6
>>11   00:58 -0.22   h4 d5 d4 Nc6 Nc3 Bf5 Bf4 Nb4 Rc1 Nf6 Nf3
>>11   00:58 -0.22   c3 Nf6 Nf3 Nc6 d4 d5 Bf4 Nh5 Bg5 f6 Be3
>>11   00:58 -0.22   f4 Nf6 Nf3 d5 e3 Nc6 c4 Bg4 cxd5 Nxd5 Bb5 Qd6
>>11   00:58 -0.21   g3 e5 Nc3 Nf6 Bg2 d5 d4 exd4 Qxd4 Nc6 Qe3+ Be7 Qg5
>>11   00:58 -0.21   a3 d5 d4 Nc6 Nf3 Nf6 Bf4 Nh5
>>11   00:58 -0.21   h3 Nf6 Nf3 Nc6 d4 d5 Bf4 Nh5 Bg5 f6 Bd2
>>11   00:58 -0.20   Na3 Nf6 Nf3 e6 e3 Nc6 Nb5 a6 Nc3 Bc5 Bc4
>>11   00:58 -0.19   Nh3 d5 d4 Nc6 Nc3 Bf5 Bf4 Nb4 Rc1
>>11   00:58 -0.19   e3 Nf6 Nf3 Nc6 d4
>>11   00:58 -0.19   d3 Nc6 e4 Nf6 Nc3 d5 exd5 Nxd5 Nf3 Bg4 Bd2 e5
>>11   00:58 -0.17   c4 Nf6 Nc3 e5 Nf3 Nc6 d4 exd4 Nxd4 Bc5 Nxc6
>>11   00:58 -0.09   Nf3 Nf6 d4 e6 e3 Nc6 Nc3 Bb4 Bd3 Nd5 Bd2 Nxc3
>>11   00:58 -0.09   Nc3 d5 d4 Nf6 Bf4 e6 Nb5 Bb4+ c3 Ba5
>>11   00:58 -0.09   d4 Nf6 Nc3 d5 Bf4 e6 Nb5 Bb4+ c3 Ba5
>>11   00:58  0.07   e4 Nc6 Nf3 Nf6 Nc3 e5 d4 exd4 Nxd4
>>---------------------------------------------------------------------------
>>12   02:28 -0.41   g4 d5 h3 Nc6 d4 h5 gxh5 Nf6 Nf3 Rxh5 Bf4 Bf5
>>12   02:28 -0.38   b4 Nf6 Nf3 d5 e3 Nbd7 c4 e5 Nc3 e4 Ng5 Bxb4 cxd5
>>12   02:28 -0.35   f3 e5 e3 Nc6 Ne2 Bc5 c3 Qh4+ g3 Qh5 Bg2 Nf6 0-0
>>12   02:28 -0.33   a4 Nf6 d4 e6 Bf4 Nc6 Nf3 Bb4+ c3 Bd6 Bxd6 cxd6 Nbd2 0-0
>>12   02:28 -0.31   b3 Nf6 Nf3 Nc6 e3 e6 Ba3 Bxa3 Nxa3 0-0 Bd3 Nb4 0-0 Nxd3 cxd3
>>12   02:28 -0.31   f4 Nf6 Nf3 e6 Nc3 d5 e3 Nbd7 d4 Bb4 a3 Bxc3+
>>12   02:28 -0.30   h4 Nf6 d4 e6 Nc3 Bb4 a3 Be7 Nf3 0-0 Bf4 Nc6
>>12   02:28 -0.29   c3 Nf6 Nf3 Nc6 d4 e6 e3 Be7 Bd3 0-0 0-0 d5
>>12   02:28 -0.29   h3 Nf6 Nc3 d5 d4 e6 Nf3 Bb4 a3 Bxc3+ bxc3 Ne4 Bd2 0-0
>>12   02:28 -0.28   g3 Nf6 d4 d5 Nc3 Nc6 Bg2 e6 Nf3 Bb4 0-0 0-0 Bf4
>>12   02:28 -0.27   Na3 Nf6 Nf3 e6 e3 Nc6 d4 Bb4+ c3 Bxa3 bxa3 0-0 Bd3 d5
>>12   02:28 -0.25   a3 Nf6 d4 e6 Nc3 d5 Bf4 Nh5 Bd2 Nc6 Nf3 Bd6
>>12   02:28 -0.24   Nh3 d5 d4 Nc6 Bf4 Bf5 e3 Nb4 Bb5+ c6 Ba4 b5 Bb3
>>12   02:28 -0.19   e3 Nf6 Nf3 Nc6 d4
>>12   02:28 -0.19   d3 Nc6 e4 Nf6 Nc3 d5 exd5 Nxd5 Nf3 Bg4
>>12   02:28 -0.17   c4 Nf6 Nc3 e5 Nf3 Nc6 d4 exd4 Nxd4 Bc5
>>12   02:28 -0.09   Nf3 Nf6 d4 e6 e3 Nc6 Nc3 Bb4 Bd3 Nd5 Bd2
>>12   02:28 -0.09   Nc3 d5 d4 Nf6 Bf4 e6 Nb5 Bb4+ c3 Ba5
>>12   02:28 -0.09   d4 Nf6 Nc3 d5 Bf4 e6 Nb5 Bb4+ c3 Ba5
>>12   02:28  0.07   e4 Nc6 Nf3 Nf6 Nc3 e5 d4 exd4 Nxd4
>>---------------------------------------------------------------------------
>>13   08:03 -0.35   g4 d5 e3 Nf6 g5 Ne4 f4 Nc6 d3 Nc5 Nc3 Bf5 Nf3
>>13   08:03 -0.34   b4 Nf6 Nf3 e6 b5 d5 c4 Bd6 d4 dxc4 Qa4 0-0 Qxc4
>>13   08:03 -0.28   h4 Nf6 d4 d5 Nc3 Bf5 Bf4 e6 Nb5 Bb4+ c3 Ba5 b4 Bb6
>>13   08:03 -0.27   f3 e5 e3 Nc6 Nc3 Bc5 Nge2 d6
>>13   08:03 -0.27   a4 Nf6 e3 Nc6 d4 e6 Nf3 Bb4+ Bd2 0-0
>>13   08:03 -0.27   b3 Nf6 Nf3 Nc6 d4 e6 e3 Bd6 Bb5 a6 Bd3
>>13   08:03 -0.26   g3 e5 d4 exd4 Qxd4 Nc6 Qe3+ Be7 Nf3 Nf6 Bg2 d5 0-0 0-0 Nc3
>>13   08:03 -0.25   h3 Nf6 Nf3 Nc6 Nc3 d5 d4 Ne4 Bf4 Nxc3 bxc3 Bf5 Rb1 Rb8
>>13   08:03 -0.23   f4 Nf6 Nf3 e6 Nc3 Nc6 e3 Be7 Bb5 0-0 0-0 d5 d4
>>13   08:03 -0.23   Nh3 d5 d4 Nc6 Nc3 Nf6 Bf4 Nh5 Bg5 h6 Be3 Bf5 Nf4
>>13   08:03 -0.23   Na3 e5 d4 e4 f3 d5 Nb5 Bd7 Nc3 Bb4 Bd2 Bxc3 Bxc3 Nf6
>>13   08:03 -0.23   a3 d5 Nf3 Nc6 e3 Nf6 Bb5 a6 Bxc6+ bxc6 0-0 Bg4 Nc3
>>13   08:03 -0.20   c3 Nf6 Nf3 Nc6 d4 d5 e3 Bf5 Be2 Qd7 0-0 0-0-0 Nbd2
>>13   08:03 -0.19   d3 Nc6 e4 Nf6 Nc3 d5 exd5 Nxd5 Nf3 Bg4
>>13   08:03 -0.17   c4 Nf6 Nc3 e5 Nf3 Nc6 d4 exd4 Nxd4 Bc5
>>13   08:03 -0.09   e3 Nf6 Nf3 Nc6 d4 e6 Nc3 Bb4
>>13   08:03 -0.09   Nf3 Nf6 d4 e6 e3 Nc6 Nc3 Bb4
>>13   08:03 -0.09   Nc3 d5 d4 Nf6 Bf4 e6 Nb5 Bb4+ c3 Ba5
>>13   08:03 -0.09   d4 Nf6 Nc3 d5 Bf4 e6 Nb5 Bb4+ c3 Ba5
>>13   08:03  0.07   e4 Nc6 Nf3 Nf6 Nc3 e5 d4 exd4 Nxd4
>>---------------------------------------------------------------------------
>>14   25:22 -0.41   g4 d5 e3 Nf6 Be2 Nc6 f4 e6 g5 Ne4 d3 Nc5 Nc3 Be7
>>14   25:22 -0.37   b4 e5 Bb2 Nf6 Bxe5 Bxb4 c3 d6 Bg3 Ba5 Na3 Be6 Rb1 Bd5
>>14   25:22 -0.36   f3 e5 e4 Bc5 Ne2 Nc6 c3 Qe7 Na3 Nf6 b4 Bb6 Nc4 0-0 Nxb6 axb6
>>14   25:22 -0.35   h3 Nf6 Nf3 e6 Nc3 d5 e3 Bd6 d4 0-0 Bd3 Nc6 0-0 Bd7
>>14   25:22 -0.32   h4 Nf6 d4 d5 c4 dxc4 Qa4+ Nc6 e3 Bd7 Qxc4 e5 Qb5 exd4 Qxb7
>>14   25:22 -0.32   b3 Nf6 Nf3 Nc6 d4 e6 e3 Ne4 Bb2 d5 Bb5 a6 Bxc6+ bxc6 0-0 Bd6
>>14   25:22 -0.29   a4 Nf6 e3 Nc6 d4 e6 Nf3 Be7 Be2 0-0 0-0 d5 Nc3 Bd7
>>14   25:22 -0.29   f4 Nf6 Nf3 e6 Nc3 d5 e3 Bd6 d4 0-0 Bd3 Nc6 0-0 Bd7
>>14   25:22 -0.28   Na3 e5 d4 e4 f3 d5 Nb5 c6 Nc3 Bb4 fxe4 Qh4+ g3 Qxe4 Nf3
>>14   25:22 -0.25   g3 e5 c3 Nf6 Bg2 d5 d4 e4 f3 Be7 Nd2 Bf5 fxe4 Nxe4 Nxe4 dxe4
>>14   25:22 -0.25   Nh3 d5 d4 Nc6 Nc3 Bf5 Bf4 e6 Nb5 Rc8 e3 a6 g4 Bb4+ c3
>>14   25:22 -0.24   a3 Nf6 Nf3 e6 e3 Nc6 d4 Be7 Bd3 0-0 0-0 d5 Nc3 Bd7
>>14   25:22 -0.23   c3 Nf6 Nf3 Nc6 d4 e6 e3 Be7 Bd3 0-0 0-0 d5 Nbd2 Bd7
>>14   25:22 -0.19   c4 Nf6 Nc3 e5 Nf3 Nc6 d4 exd4 Nxd4 Bc5 Nxc6 bxc6 e4 0-0 Bf4
>>14   25:22 -0.16   d3 Nc6 e4 e5 Nf3 Nf6 Be2 Be7 Nc3 0-0 0-0 d6 d4 Be6 dxe5 dxe5
>>14   25:22 -0.14   Nc3 d5 d4 Nf6 e3 e6 Bd3 Nc6 Nf3
>>14   25:22 -0.14   d4 Nf6 Nc3 d5 e3 e6 Bd3 Nc6 Nf3 Bb4
>>14   25:22 -0.13   e3 Nf6 Nf3 Nc6 d4 e6 Be2 Be7 0-0 0-0
>>14   25:22 -0.13   Nf3 Nf6 d4 e6 e3 Nc6 Be2 Be7 0-0 0-0 Ne5 Nxe5 dxe5 Ne4 Nd2
>>14   25:22  0.05   e4 Nc6 Nf3 e5 Nc3 Nf6 d4 Bb4 Nxe5 Qe7 f3 Nxe5
>>---------------------------------------------------------------------------
>>15   01:22:28 -0.41   g4 d5 e3 e5 d4 Nc6 dxe5 Nxe5 h3 Nf6 Nc3 Bb4 Qd4 Qd6 f4 Nc6
>>15   01:22:28 -0.38   b4 e5 a3 Nf6 Bb2 d6 e3 Be7 Nc3
>>15   01:22:28 -0.35   f3 e5 Nc3 Nc6 e3 Nh6 Nge2 Bc5 Ng3 d5 e4 d4 Na4 Bb4 Bc4
>>15   01:22:28 -0.29   b3 e5 e4 Nc6 Nf3 Nf6 Nc3 Bc5 Bc4 0-0 0-0 d6 d3 Be6 Bxe6
>>fxe6
>>15   01:22:28 -0.28   Na3 e5 d4 Bxa3 bxa3 e4 f3 Nf6 Bg5 exf3 Nxf3 0-0 d5 c6 Bxf6
>>Qxf6 e4 cxd5 exd5
>>15   01:22:28 -0.28   h4 Nf6 d4 d5 Nf3 Nc6 Nc3 Bf5 e3 Nb4 Bb5+ c6 Ba4 b5 a3 bxa4
>>axb4
>>15   01:22:28 -0.27   h3 d5 Nf3 e6 d4 Nf6 e3 Bd6 Nc3
>>15   01:22:28 -0.27   Nh3 d5 d4 Nc6 Nc3 Bxh3 gxh3 e6 Qd3 Nb4 Qd2 Nh6 a3 Nc6 Rg1
>>Qh4
>>15   01:22:28 -0.23   a4 e5 e4 Nf6 Nf3 d5 Be2 Nxe4 d3 Nf6 Nxe5 Bb4+ c3 Bd6 Bf4
>>0-0
>>15   01:22:28 -0.23   f4 Nf6 Nf3 e6 e3 Be7 Be2 0-0 0-0 Nc6 Nc3 d5 d4 Bd7 Bd2
>>15   01:22:28 -0.23   c3 Nc6 d4 d5 Nf3 e6 e3 Bd6 Bd3 Nf6 c4 0-0 c5 Be7 0-0
>>15   01:22:28 -0.21   d3 Nc6 e4 e5 Nf3 Nf6 Be2 Bc5 0-0 0-0 Nbd2 d5 exd5 Qxd5 Nb3
>>Bb4
>>15   01:22:28 -0.20   g3 e5 Nf3 Nc6 d4 e4 d5 exf3 dxc6 dxc6 Qxd8+ Kxd8 exf3 Bf5
>>Bc4 Bxc2 Bxf7 Nf6
>>15   01:22:28 -0.20   a3 Nf6 Nf3 e6 e3 Nc6 d4 d5 Nc3 Bd6 Bd3 0-0 0-0 Bd7 Bd2
>>15   01:22:28 -0.18   c4 e5 Nf3 e4 Nd4 Nc6 Nxc6 dxc6 Nc3 Nf6 d3 Bb4 a3 Bxc3+
>>bxc3 0-0 Bf4
>>15   01:22:28 -0.10   Nc3 d5 d4 Nf6 e3 e6 Bd3 Nc6 Nf3
>>15   01:22:28 -0.06   d4 Nf6 Nf3 e6 e3 Nc6 Nc3 Be7 Bd3 d5 0-0
>>15   01:22:28 -0.06   e3 Nf6 Nf3 Nc6 d4 e6 Nc3 Be7 Bd3 d5 0-0
>>15   01:22:28 -0.06   Nf3 Nf6 d4 e6 e3 Nc6 Nc3 Be7 Bd3 d5 0-0 Nb4 Be2 0-0 Bd2
>>15   01:22:28  0.03   e4 Nc6 Nf3 e5 Nc3 Nf6 d4 exd4 Nxd4 Bb4 Nxc6 bxc6 e5 Nd5
>>Bd2 Nxc3 Bxc3 Bxc3+ bxc3



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