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Subject: Unstable aspiration search

Author: Sune Fischer

Date: 13:21:23 02/10/03


I'm fooling around with some root node aspiration search,
Looks like it is a tad unstable, I wonder if that is normal.

It produces different preferred moves at different plies.
E.g. normally it prefers e4 at ply 11, but using a narrow window of 0.1 pawn it
prefers e4 already at ply 9. Sure the hashtable is going to make a difference
here, I realize that, but still a change on the root move is not an
insignificant effect.

The narrower the window, the more instability. Is this to be expected?

the code:

window = param::pawn_unit/10;
walpha = previous_score-window;
wbeta = previous_score+window;
score = -b.Search(1,ONEPLY*(maxdepth-1),-wbeta,-walpha,0);
if (score <= walpha) {
	score = -b.Search(1,ONEPLY*(maxdepth-1),-wbeta,-alpha,0);
	if (score >= wbeta)
		score = -b.Search(1,ONEPLY*(maxdepth-1),-beta,-alpha,0);
} else if (score >= wbeta) {
	score = -b.Search(1,ONEPLY*(maxdepth-1),-beta,-walpha,0);
	if (score <= walpha)
		score = -b.Search(1,ONEPLY*(maxdepth-1),-beta,-alpha,0);
}


results of different window widths:

window=pawn_unit:

1	-1	0	1		1.a3
1	14	1	5		1.d3
1	23	1	14		1.d4
1	105	1	21		1.Nc3
2	-103	1	52		1.Nc3 Nf3
2	0	2	96		1.Nf3 Nf6
3	103	2	280		1.Nf3 Nf6 2.Nc3
4	-23	2	507		1.Nf3 Nc3
4	23	3	1535		1.Nc3 Nf6 2.Nf3
5	23	3	1711		1.Nc3 Nf6 2.Nf3
6	0	4	2781		1.Nc3 Nf6 2.Nf3 Nc6 3.e4 e5
7	16	5	7890		1.Nc3 Nf6 2.Nf3 Nc6 3.d4 d5 4.Bf4
8	6	6	14544		1.Nc3 Nf6 2.Nf3 Nc6 3.e4 d5 4.e5 Ng4
9	15	33	197084		1.Nc3 d5 2.Nf3 Nc6
10	8	66	439047		1.Nc3 Nf6 2.e4 e5 3.Nf3 Nc6
11	12	234	1641245		1.Nc3 Nf6 2.Nf3 Nc6 3.d4 d5 4.e3 Bf5 5.Bd3 Bxd3 6.Qxd3
11	15	597	4247723		1.e4 e5 2.Nf3 Nc6
12	12	992	7037705		1.e4 e5 2.Nf3 Nc6 3.Nc3 Nf6 4.Bb5 exd4
13	14	2475	17533424	1.e4 e5 2.Nf3 Nc6 3.Nc3 Nf6 4.Bb5 Nd4 5.O-O Bc5 6.Nxe5 Nxb5
7.Nxb5 Nxe4
14	14	3768	26153111	1.e4 e5 2.Nf3 Nc6 3.Nc3 Nf6 4.Bb5 Nd4 5.O-O Bc5 6.Nxe5 Nxb5
7.Nxb5 Nxe4

window=pawn_unit/10:

1	-1	0	1		1.a3
1	14	1	5		1.d3
1	23	1	14		1.d4
1	105	1	21		1.Nc3
2	-103	2	52		1.Nc3 Nf3
2	0	2	96		1.Nf3 Nf6
3	103	2	272		1.Nf3 Nf6 2.Nc3
4	-23	2	489		1.Nf3 Nc3
4	23	3	1517		1.Nc3 Nf6 2.Nf3
5	23	3	1693		1.Nc3 Nf6 2.Nf3
6	-16	4	3765		1.Nc3 Nf3
6	16	4	4367		1.Nf3 Nf6 2.Nc3
7	16	5	8324		1.Nf3 Nf6 2.Nc3
8	6	7	15958		1.Nf3 Nf6 2.Nc3 Nc6 3.e4 d5 4.e5 Ng4 5.Nxe4
9	15	21	112696		1.Nf3 Nf6 2.Nc3 d5 3.d4 Nc6 4.Bf4 Bf5 5.e3
9	17	41	249717		1.e4 Nc6 2.Nc3 Nf6 3.Nf3 d5 4.exd5 Nxd5 5.Bd3
10	8	110	729380		1.e4 Nf6 2.Nc3 e5 3.Nf3 Nc6 4.Nc3
11	15	392	2758226		1.e4 e5 2.Nf3 Nc6 3.Bb5 Nf6 4.Bxc6 dxc6 5.Nc3 Bd6 6.O-O
12	12	740	5225754		1.e4 e5 2.Nf3 Nc6 3.Nc3 Nf6 4.Bb5 Bd6 5.O-O a6 6.Bxc6 dxc6
13	14	2689	19137433	1.e4 e5 2.Nc3 Nf6 3.Nf3
14	14	3521	25053272	1.e4 e5 2.Nc3 Nf6 3.Nf3

window=pawn_unit/100: (pawn_unit=1000)


1	-1	0	1		1.a3
1	14	0	5		1.d3
1	23	0	14		1.d4
1	105	1	21		1.Nc3
2	-206	1	49		1.Nc3 Nf3
2	0	1	93		1.Nf3 Nf6
3	103	1	271		1.Nf3 Nf6 2.Nc3
4	-23	2	553		1.Nf3 Nc3
4	23	2	1629		1.Nc3 Nf6 2.Nf3
5	23	2	1803		1.Nc3 Nf6 2.Nf3
6	-16	3	3382		1.Nc3 Nf3
6	16	4	3829		1.Nf3 Nf6 2.Nc3
7	16	4	7702		1.Nf3 Nf6 2.Nc3
8	-15	7	26519		1.Nf3 Nc3
8	-11	10	37593		1.a3 Nf6 2.Nc3 Nc6 3.Nf3 d5 4.d4 Bf5 5.Nxe4
8	17	15	76685		1.e4 Nf6 2.Nc3 Nc6 3.Nf3
9	17	31	185188		1.e4 d5 2.Nc3 Nf6
10	-24	86	596412		1.e4 exd5
10	0	106	742042		1.d4 d5 2.Nc3 Nf6 3.Nf3 Nc6 4.Bf4 Bf5 5.Nb5 Rc8 6.Nxe5
10	8	161	1149018		1.Nc3 Nf6 2.e4 e5 3.Nf3 Nc6
11	12	347	2482318		1.Nc3 Nf6 2.Nf3 Nc6 3.d4 d5 4.e3 Bf5 5.Bd3 Bxd3 6.Qxd3
11	15	658	4712297		1.e4 e5 2.Nf3 Nc6
12	-14	1006	7183908		1.e4 Nc3
12	14	1222	8702636		1.Nc3 Nf6 2.Nf3 Nc6 3.e4 e5
13	14	1970	14002541	1.Nc3 Nf6 2.Nf3 Nc6 3.e4 e5
14	14	3647	25603089	1.Nc3 Nf6 2.Nf3 Nc6 3.e4 e5



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