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Cube decision, 4 point holding game - RO

Posted By: Daniel Murphy
Date: Saturday, 8 May 2010, at 12:29 a.m.

In Response To: Cube decision, 4 point holding game (Daniel Murphy)

Unlimited match. White on roll, cube decision?

White	119
Blue	92
Position ID: d28AAAewd5sAAQ Match ID: MAEAAAAAGAAA

Gnubg 2-ply takes this. But Blue needs a better position. A longer lasting 4-point board, or any 5-point board, will do. Some other positions below.

Cube decision
Rollout cubeless equity		+0.6040
Cubeful equities:
1.	Double, pass	+1.0000
2.	Double, take	+1.0770	+0.0770
3.	No double	+0.9686	-0.0314
Proper cube action:		Double, pass
Rollout details
Win W g W bg Lose L g L bg Cubeless Cubeful Centered 1-cube 0.7448 0.1291 0.0011 - 0.2552 0.0159 0.0001 +0.6040 +0.9686 Standard error 0.0009 0.0012 0.0002 - 0.0009 0.0004 0.0000 0.0022 0.0045 Player Blue owns 2-cube 0.7485 0.1377 0.0036 - 0.2515 0.0154 0.0001 +1.2456 +1.0770 Standard error 0.0012 0.0021 0.0003 - 0.0012 0.0006 0.0000 0.0064 0.0078
Full cubeful rollout with var.redn.
1295 games, Mersenne Twister dice gen. with seed 852374438 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]

White	119
Blue	96
Position ID: u3sAAAewd5sAAQ Match ID: MAEAAAAAGAAA

Cube decision
Rollout cubeless equity		+0.5567
Cubeful equities:
1.	Double, take	+0.9580
2.	Double, pass	+1.0000	+0.0420
3.	No double	+0.9278	-0.0303
Proper cube action:		Double, take
Rollout details
Win W g W bg Lose L g L bg Cubeless Cubeful Centered 1-cube 0.7300 0.1114 0.0025 - 0.2700 0.0172 0.0001 +0.5567 +0.9278 Standard error 0.0020 0.0025 0.0003 - 0.0020 0.0008 0.0001 0.0047 0.0110 Player Blue owns 2-cube 0.7332 0.1123 0.0027 - 0.2668 0.0166 0.0001 +1.1295 +0.9580 Standard error 0.0022 0.0028 0.0003 - 0.0022 0.0011 0.0001 0.0103 0.0136
Full cubeful rollout with var.redn.
434 games, Mersenne Twister dice gen. with seed 852358851 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]

White	119
Blue	95
Position ID: t3sAAAewd5sAAQ Match ID: MAEAAAAAGAAA

Cube decision
Rollout cubeless equity		+0.5557
Cubeful equities:
1.	Double, take	+0.9497
2.	Double, pass	+1.0000	+0.0503
3.	No double	+0.9190	-0.0307
Proper cube action:		Double, take
Rollout details
Win W g W bg Lose L g L bg Cubeless Cubeful Centered 1-cube 0.7283 0.1147 0.0026 - 0.2717 0.0182 0.0000 +0.5557 +0.9190 Standard error 0.0027 0.0031 0.0004 - 0.0027 0.0009 0.0005 0.0059 0.0132 Player Blue owns 2-cube 0.7312 0.1182 0.0030 - 0.2688 0.0187 0.0000 +1.1298 +0.9497 Standard error 0.0029 0.0034 0.0005 - 0.0029 0.0010 0.0003 0.0132 0.0165
Full cubeful rollout with var.redn.
286 games, Mersenne Twister dice gen. with seed 852358851 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]

Messages In This Thread

• Cube decision, 4 point holding game
  Daniel Murphy -- Friday, 7 May 2010, at 12:49 p.m.
  • Cube decision, 4 point holding game
    Chase -- Friday, 7 May 2010, at 2:20 p.m.
    • Cube decision, 4 point holding game
      christian munk-christensen -- Friday, 7 May 2010, at 3:52 p.m.
  • Cube decision, 4 point holding game
    Casper van der Tak -- Friday, 7 May 2010, at 3:01 p.m.
  • Cube decision, 4 point holding game
    neilkaz -- Friday, 7 May 2010, at 3:50 p.m.
  • Cube decision, 4 point holding game
    John O'Hagan -- Friday, 7 May 2010, at 6:14 p.m.
  • Cube decision, 4 point holding game
    Timothy Chow -- Friday, 7 May 2010, at 10:06 p.m.
  • Cube decision, 4 point holding game - RO
    Daniel Murphy -- Saturday, 8 May 2010, at 12:29 a.m.
    • Cube decision, 4 point holding game - RO
      John O'Hagan -- Saturday, 8 May 2010, at 3:32 a.m.