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Random 5-3 backgame & 5-3 phantom backgame cubes

Posted By: Stick
Date: Thursday, 26 March 2009, at 6:24 a.m.

Spurred by a random email from Simborg I wanted to take a quick look at how much better the actual 5-3 backgame was in relation to the phantom 5-3 backgame.

Move number 3: user on roll, cube decision?

gnubg	128
user	78
Position ID: 2jYFBQybuT0AAA Match ID: cAkAAAAAAAAA

Cube decision
Rollout cubeless equity		+0.4850
Cubeful equities:
1.	Double, take	+0.8397
2.	Double, pass	+1.0000	+0.1603
3.	No double	+0.8086	-0.0310
Proper cube action:		Double, take
Rollout details
Win W g W bg Lose L g L bg Cubeless Cubeful Centered 1-cube 0.7230 0.0613 0.0018 - 0.2770 0.0237 0.0004 +0.4850 +0.8086 Standard error 0.0012 0.0011 0.0004 - 0.0012 0.0009 0.0001 0.0029 0.0075 Player gnubg owns 2-cube 0.7252 0.0634 0.0018 - 0.2748 0.0239 0.0004 +0.9826 +0.8397 Standard error 0.0014 0.0015 0.0004 - 0.0014 0.0010 0.0001 0.0065 0.0085
Full cubeful rollout with var.redn.
648 games, Mersenne Twister dice gen. with seed 820154652 and quasi-random dice
Play: 2-ply cubeful prune [world class]
keep the first 0 0-ply moves and up to 12 more moves within equity 0.16
Skip pruning for 1-ply moves.
Cube: 2-ply cubeful prune [world class]

---

Move number 3: user on roll, cube decision?

gnubg	125
user	78
Position ID: tm2gCAybuT0AAA Match ID: cAkAAAAAAAAA

Cube decision
Rollout cubeless equity		+0.4622
Cubeful equities:
1.	Double, take	+0.8113
2.	Double, pass	+1.0000	+0.1887
3.	No double	+0.7929	-0.0184
Proper cube action:		Double, take
Rollout details
Win W g W bg Lose L g L bg Cubeless Cubeful Centered 1-cube 0.7214 0.0449 0.0003 - 0.2786 0.0252 0.0006 +0.4622 +0.7929 Standard error 0.0009 0.0007 0.0000 - 0.0009 0.0008 0.0001 0.0020 0.0052 Player gnubg owns 2-cube 0.7240 0.0448 0.0002 - 0.2760 0.0279 0.0008 +0.9286 +0.8113 Standard error 0.0010 0.0008 0.0001 - 0.0010 0.0011 0.0001 0.0046 0.0061
Full cubeful rollout with var.redn.
1296 games, Mersenne Twister dice gen. with seed 820766247 and quasi-random dice
Play: 2-ply cubeful prune [world class]
keep the first 0 0-ply moves and up to 12 more moves within equity 0.16
Skip pruning for 1-ply moves.
Cube: 2-ply cubeful prune [world class]

---

Move number 3: user on roll, cube decision?

gnubg	139
user	78
Position ID: 2jYFwAybuT0AAA Match ID: cAkAAAAAAAAA

Cube decision
Rollout cubeless equity		+0.4420
Cubeful equities:
1.	No double	+0.7080
2.	Double, pass	+1.0000	+0.2920
3.	Double, take	+0.6874	-0.0206
Proper cube action:		No double, take (6.6%)
Rollout details
Win W g W bg Lose L g L bg Cubeless Cubeful Centered 1-cube 0.6699 0.1412 0.0008 - 0.3301 0.0389 0.0008 +0.4420 +0.7080 Standard error 0.0011 0.0013 0.0001 - 0.0011 0.0011 0.0001 0.0027 0.0064 Player gnubg owns 2-cube 0.6720 0.1415 0.0008 - 0.3280 0.0389 0.0011 +0.8923 +0.6874 Standard error 0.0012 0.0014 0.0001 - 0.0012 0.0012 0.0001 0.0057 0.0076
Full cubeful rollout with var.redn.
1296 games, Mersenne Twister dice gen. with seed 820494123 and quasi-random dice
Play: 2-ply cubeful prune [world class]
keep the first 0 0-ply moves and up to 12 more moves within equity 0.16
Skip pruning for 1-ply moves.
Cube: 2-ply cubeful prune [world class]

---

Move number 3: user on roll, cube decision?

gnubg	153
user	78
Position ID: 2jaAwgybuT0AAA Match ID: cAkAAAAAAAAA

Cube decision
Rollout cubeless equity		+0.4306
Cubeful equities:
1.	No double	+0.6163
2.	Double, pass	+1.0000	+0.3837
3.	Double, take	+0.5819	-0.0344
Proper cube action:		No double, take (8.2%)
Rollout details
Win W g W bg Lose L g L bg Cubeless Cubeful Centered 1-cube 0.6192 0.2425 0.0016 - 0.3808 0.0507 0.0013 +0.4306 +0.6163 Standard error 0.0011 0.0013 0.0003 - 0.0011 0.0011 0.0002 0.0030 0.0071 Player gnubg owns 2-cube 0.6185 0.2469 0.0020 - 0.3815 0.0521 0.0016 +0.8644 +0.5819 Standard error 0.0012 0.0016 0.0004 - 0.0012 0.0013 0.0002 0.0065 0.0094
Full cubeful rollout with var.redn.
1296 games, Mersenne Twister dice gen. with seed 820752368 and quasi-random dice
Play: 2-ply cubeful prune [world class]
keep the first 0 0-ply moves and up to 12 more moves within equity 0.16
Skip pruning for 1-ply moves.
Cube: 2-ply cubeful prune [world class]

Messages In This Thread

• Random 5-3 backgame & 5-3 phantom backgame cubes
  Stick -- Thursday, 26 March 2009, at 6:24 a.m.
  • Random 5-3 backgame & 5-3 phantom backgame cubes
    phil Simborg -- Thursday, 26 March 2009, at 9:13 p.m.