Ref-Spares-854-or-764-or-863-vs-2-on-bar-and-good-board.sgf

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Ref-Spares-854-or-764-or-863-vs-2-on-bar-and-good-board.sgf - RO

Posted By: Daniel Murphy
Date: Thursday, 10 June 2010, at 5:21 p.m.

In Response To: Ref-Spares-854-or-764-or-863-vs-2-on-bar-and-good-board.sgf (Daniel Murphy)

DMP. Blue to play 3-1.
White 97

Blue 63
Position ID: 23YDAGDbbgcBAA Match ID: cIksAAAAAAAA

Unlike the one-on-the-bar problem this rollout took no time at all. When White had only one checker on the bar 11/8 6/5 was also best but 11/7 was close. I assume that with a checker on the 6 point Blue is more likely to bear off more checkers before opening his board, important when White has only one checker and has some albeit slim racing chances. This slower bearoff must be counteracted by a higher probability of leaving a blot -- "must" because when White has two on the bar White's racing chances are close to zero and 11/8 6/5, which prepares to clear the six point (as John said) is -- dare I say it -- clearly best.

# Ply Move Equity

• 1 R 11/8 6/5 +0.9500

0.9750 0.5374 0.0168 - 0.0250 0.0000 0.0000 +0.9500 +0.9500

0.0010 0.0161 0.0039 - 0.0010 0.0000 0.0000 0.0019 0.0019

Full cubeful rollout with var.redn.

648 games, Mersenne Twister dice gen. with seed 893208372 and quasi-random dice

Play: world class 2-ply cubeful prune [world class]

keep the first 0 0-ply moves and up to 8 more moves within equity 0.16

Skip pruning for 1-ply moves.

Cube: 2-ply cubeful prune [world class]

2 R 11/8 4/3 +0.9346 ( -0.0154)

0.9673 0.5464 0.0166 - 0.0327 0.0000 0.0000 +0.9346 +0.9346

0.0011 0.0164 0.0037 - 0.0011 0.0001 0.0000 0.0022 0.0022

Full cubeful rollout with var.redn.

648 games, Mersenne Twister dice gen. with seed 893208372 and quasi-random dice

Play: world class 2-ply cubeful prune [world class]

keep the first 0 0-ply moves and up to 8 more moves within equity 0.16

Skip pruning for 1-ply moves.

Cube: 2-ply cubeful prune [world class]

3 R 11/7 +0.9314 ( -0.0186)

0.9657 0.5431 0.0173 - 0.0343 0.0000 0.0000 +0.9314 +0.9314

0.0011 0.0161 0.0036 - 0.0011 0.0006 0.0000 0.0022 0.0022

Full cubeful rollout with var.redn.

648 games, Mersenne Twister dice gen. with seed 893208372 and quasi-random dice

Play: world class 2-ply cubeful prune [world class]

keep the first 0 0-ply moves and up to 8 more moves within equity 0.16

Skip pruning for 1-ply moves.

Cube: 2-ply cubeful prune [world class]

Annotation

Gnubg plays:

0-ply 11/10 6/3
1-ply 6/3 4/3
2-ply 11/8 4/3
3-ply 11/8 4/3
4-ply 11/8 6/5