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GNU 2/2 ply vs. 3/3 ply

Posted By: Matt Cohn-Geier
Date: Tuesday, 9 September 2008, at 3:21 p.m.

This one I will extend a bit, but there's some 2.8 JSDs of significance, so I don't expect anything to change. 3/3ply won 0.01431 ppg, or 1.431 points per 100 over 2/2ply.

I think it's safe to draw a few conclusions at this point, Daniel's comment on the opening rolls notwithstanding:

1) 3-ply checker play is, in general, a little better than 2-ply checker play.
2) 2-ply cube is, in general, a little better than 3-ply cube.
3) 3/3 ply is, in general, a little better than 2/2 ply.

The score (after 0 games) is: 2ply 0, 3ply 0

Move number 5: 2ply to play 21

2ply170


2O ' ' ' '5X '2X ' '1X5O

2X ' ' ' '5O '3O ' ' '5X

3ply167

Position ID: 4HPwATDgM/IBMA Match ID: MAEFAAAAAAAA

• 2ply moves 11/8

# Ply Move Equity
1 R 11/8 -0.06739
0.481380.131840.00565-0.518620.148900.00682 -0.05546 -0.06739
0.000580.000620.00018-0.000580.000670.00018 0.00144 0.00391
Full cubeful rollout with var.redn.
8687 games, rollout as initial position, Mersenne Twister dice generator with seed 837317894
Player 0:
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]
Player 1:
Play: grandmaster 3-ply cubeful prune [grandmaster]
keep the first 0 0-ply moves and up to 8 more moves within equity 0.16
Skip pruning for 1-ply moves.
keep the first 0 2-ply moves and up to 2 more moves within equity 0.04
Cube: 3-ply cubeful prune [grandmaster]

The score (after 0 games) is: 2ply 0, 3ply 0

Move number 4: 3ply to play 43

2ply167


2O ' ' ' '5X '3X ' ' '6O

2X ' ' ' '4O '3O ' ' '5X

3ply174

Position ID: 4HPwATDgOfgBMA Match ID: cAkOAAAAAAAA

• 3ply moves 13/6

# Ply Move Equity
1 R 13/6 -0.05308
0.492000.135230.00585-0.508000.144710.00663 -0.02627 -0.05308
0.000460.000490.00014-0.000460.000500.00016 0.00114 0.00325
Full cubeful rollout with var.redn.
14479 games, rollout as initial position, Mersenne Twister dice generator with seed 830759193
Player 0:
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]
Player 1:
Play: grandmaster 3-ply cubeful prune [grandmaster]
keep the first 0 0-ply moves and up to 8 more moves within equity 0.16
Skip pruning for 1-ply moves.
keep the first 0 2-ply moves and up to 2 more moves within equity 0.04
Cube: 3-ply cubeful prune [grandmaster]

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