The score (after 0 games) is: gnubg_checker3ply_cube2ply 0, sage_checker4ply_cube3ply 0 (match to 7 points)

Match Information:
Date: 07/17/26

Move number 1:  gnubg_checker3ply_cube2ply to play 31

 GNU Backgammon  Position ID: 4HPwATDgc/ABMA
                 Match ID   : MIDlAAAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: gnubg_checker3ply_cube2ply
 | X           O    |   | O              X |     0 points
 | X           O    |   | O              X |     Rolled 31
 | X           O    |   | O                |     
 | X                |   | O                |     
 | X                |   | O                |    
^|                  |BAR|                  |     7 points match (Cube: 1)
 | O                |   | X                |    
 | O                |   | X                |     
 | O           X    |   | X                |     
 | O           X    |   | X              O |     
 | O           X    |   | X              O |     0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: sage_checker4ply_cube3ply
Pip counts: O 167, X 167

* gnubg_checker3ply_cube2ply moves 8/5 6/5

Rolled 31 (+0.227):
*    1. Cubeful 2-ply    8/5 6/5                      Eq.: +0.220
       0.551 0.170 0.008 - 0.449 0.117 0.005
     2. Cubeful 2-ply    24/23 13/10                  Eq.: -0.011 (-0.231)
       0.496 0.139 0.006 - 0.504 0.138 0.006
     3. Cubeful 2-ply    24/20                        Eq.: -0.026 (-0.245)
       0.494 0.127 0.005 - 0.506 0.134 0.005
     4. Cubeful 2-ply    13/9                         Eq.: -0.026 (-0.246)
       0.490 0.144 0.007 - 0.510 0.141 0.007
     5. Cubeful 2-ply    13/10 6/5                    Eq.: -0.028 (-0.247)
       0.495 0.139 0.007 - 0.505 0.146 0.010


Move number 2:  sage_checker4ply_cube3ply to play 42

 GNU Backgammon  Position ID: sGfwATDgc/ABMA
                 Match ID   : cAnqAAAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: gnubg_checker3ply_cube2ply
 | X           O    |   | O  O           X |     0 points
 | X           O    |   | O  O           X |     
 | X                |   | O                |     
 | X                |   | O                |     
 | X                |   |                  |    
v|                  |BAR|                  |     7 points match (Cube: 1)
 | O                |   | X                |    
 | O                |   | X                |     
 | O           X    |   | X                |     
 | O           X    |   | X              O |     Rolled 42
 | O           X    |   | X              O |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: sage_checker4ply_cube3ply
Pip counts: O 163, X 167

* sage_checker4ply_cube3ply moves 8/4 6/4

Cube analysis
4-ply cubeless equity -0.162 (Money: -0.160)
  0.448 0.116 0.005 - 0.552 0.170 0.008
Cubeful equities:
1. No double           -0.228
2. Double, pass        +1.000  (+1.228)
3. Double, take        -0.706  (-0.478)
Proper cube action: No double, take (28.0%)

Rolled 42 (+0.042):
*    1. Cubeful 2-ply    8/4 6/4                      Eq.: -0.172
       0.459 0.133 0.006 - 0.541 0.168 0.008
     2. Cubeful 2-ply    24/22 13/9                   Eq.: -0.322 (-0.150)
       0.425 0.112 0.005 - 0.575 0.182 0.010
     3. Cubeful 2-ply    24/18                        Eq.: -0.357 (-0.185)
       0.424 0.098 0.004 - 0.576 0.196 0.008
     4. Cubeful 2-ply    13/11 13/9                   Eq.: -0.367 (-0.195)
       0.415 0.119 0.006 - 0.585 0.193 0.014
     5. Cubeful 2-ply    13/9 8/6                     Eq.: -0.466 (-0.293)
       0.390 0.106 0.005 - 0.610 0.198 0.012


Move number 3:  gnubg_checker3ply_cube2ply to play 41

 GNU Backgammon  Position ID: mGfwATCwZ/ABMA
                 Match ID   : MAHmAAAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: gnubg_checker3ply_cube2ply
 | X           O    |   | O  O           X |     0 points
 | X           O    |   | O  O           X |     Rolled 41
 | X                |   | O                |     
 | X                |   | O                |     
 | X                |   |                  |    
^|                  |BAR|                  |     7 points match (Cube: 1)
 | O                |   |                  |    
 | O                |   | X                |     
 | O                |   | X                |     
 | O           X    |   | X     X        O |     
 | O           X    |   | X     X        O |     0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: sage_checker4ply_cube3ply
Pip counts: O 163, X 161

* gnubg_checker3ply_cube2ply moves 24/20 6/5

Cube analysis
4-ply cubeless equity +0.117 (Money: +0.116)
  0.540 0.167 0.008 - 0.460 0.134 0.006
Cubeful equities:
1. No double           +0.174
2. Double, pass        +1.000  (+0.826)
3. Double, take        -0.080  (-0.254)
Proper cube action: No double, take (23.5%)

Rolled 41 (-0.085):
*    1. Cubeful 4-ply    24/20 6/5                    Eq.: +0.092
       0.523 0.156 0.008 - 0.477 0.137 0.006
     2. Cubeful 4-ply    24/23 13/9                   Eq.: +0.074 (-0.018)
       0.518 0.162 0.009 - 0.482 0.147 0.007
     3. Cubeful 4-ply    13/9 6/5                     Eq.: +0.071 (-0.020)
       0.516 0.166 0.009 - 0.484 0.147 0.008
     4. Cubeful 4-ply    24/23 24/20                  Eq.: +0.056 (-0.035)
       0.516 0.150 0.008 - 0.484 0.141 0.005
     5. Cubeful 2-ply    13/8                         Eq.: +0.042 (-0.050)
       0.510 0.158 0.007 - 0.490 0.145 0.007


Move number 4:  sage_checker4ply_cube3ply to play 31

 GNU Backgammon  Position ID: cGfwASGYZ/ABMA
                 Match ID   : cInlAAAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: gnubg_checker3ply_cube2ply
 | X           O    |   | O  O           X |     0 points
 | X           O    |   | O  O           X |     
 | X                |   | O  O             |     
 | X                |   |                  |     
 | X                |   |                  |    
v|                  |BAR|                  |     7 points match (Cube: 1)
 | O                |   |                  |    
 | O                |   | X                |     
 | O                |   | X                |     
 | O           X    |   | X     X          |     Rolled 31
 | O           X    |   | X  O  X        O |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: sage_checker4ply_cube3ply
Pip counts: O 158, X 161

* sage_checker4ply_cube3ply moves 8/5* 6/5

Cube analysis
4-ply cubeless equity -0.067 (Money: -0.067)
  0.477 0.137 0.006 - 0.523 0.156 0.008
Cubeful equities:
1. No double           -0.092
2. Double, pass        +1.000  (+1.092)
3. Double, take        -0.491  (-0.400)
Proper cube action: No double, take (26.8%)
Alert: lucky roll! ( +0.341)

Rolled 31 (+0.341):
*    1. Cubeful 0-ply    8/5* 6/5                     Eq.: +0.249
       0.553 0.198 0.010 - 0.447 0.129 0.008
     2. Cubeful 0-ply    24/21 6/5*                   Eq.: -0.163 (-0.412)
       0.465 0.127 0.006 - 0.535 0.169 0.010
     3. Cubeful 0-ply    13/10 6/5*                   Eq.: -0.176 (-0.425)
       0.462 0.142 0.008 - 0.538 0.182 0.016
     4. Cubeful 0-ply    8/5*/4                       Eq.: -0.239 (-0.488)
       0.441 0.137 0.006 - 0.559 0.176 0.012
     5. Cubeful 0-ply    24/23 24/21                  Eq.: -0.291 (-0.540)
       0.433 0.101 0.003 - 0.567 0.169 0.006


Move number 5:  gnubg_checker3ply_cube2ply to play 21

 GNU Backgammon  Position ID: 2E7wATBwZ/ABUA
                 Match ID   : MAHlAAAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: gnubg_checker3ply_cube2ply
 | X           O    | O | O  O           X |     0 points
 | X           O    |   | O  O           X |     Rolled 21
 | X                |   | O  O             |     
 | X                |   |                  |     
 | X                |   |                  |    
^|                  |BAR|                  |     7 points match (Cube: 1)
 | O                |   |                  |    
 | O                |   |                  |     
 | O                |   | X                |     
 | O                |   | X  X  X          |     
 | O           X    |   | X  X  X        O |     0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: sage_checker4ply_cube3ply
Pip counts: O 163, X 157

* gnubg_checker3ply_cube2ply moves bar/23 24/23

Cube analysis
4-ply cubeless equity -0.159 (Money: -0.157)
  0.455 0.129 0.007 - 0.545 0.194 0.010
Cubeful equities:
1. No double           -0.222
2. Double, pass        +1.000  (+1.222)
3. Double, take        -0.693  (-0.471)
Proper cube action: No double, take (27.8%)

Rolled 21 (+0.050):
*    1. Cubeful 4-ply    bar/23 24/23                 Eq.: -0.204
       0.450 0.126 0.005 - 0.550 0.160 0.008
     2. Cubeful 4-ply    bar/22                       Eq.: -0.241 (-0.037)
       0.454 0.134 0.008 - 0.546 0.202 0.010
     3. Cubeful 4-ply    bar/24 13/11                 Eq.: -0.290 (-0.085)
       0.436 0.131 0.006 - 0.564 0.196 0.013
     4. Cubeful 2-ply    bar/23 6/5                   Eq.: -0.362 (-0.158)
       0.425 0.114 0.006 - 0.575 0.215 0.011
     5. Cubeful 2-ply    bar/24 8/6                   Eq.: -0.467 (-0.262)
       0.393 0.115 0.005 - 0.607 0.212 0.016


Move number 6:  sage_checker4ply_cube3ply to play 65

 GNU Backgammon  Position ID: cGfwARjYTvABMA
                 Match ID   : cAn3AAAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: gnubg_checker3ply_cube2ply
 | X           O    |   | O  O           X |     0 points
 | X           O    |   | O  O           X |     
 | X                |   | O  O             |     
 | X                |   |                  |     
 | X                |   |                  |    
v|                  |BAR|                  |     7 points match (Cube: 1)
 | O                |   |                  |    
 | O                |   |                  |     
 | O                |   | X                |     
 | O                |   | X  X  X     O    |     Rolled 65
 | O           X    |   | X  X  X     O    |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: sage_checker4ply_cube3ply
Pip counts: O 160, X 157

* sage_checker4ply_cube3ply moves 24/18 13/8

Cube analysis
4-ply cubeless equity +0.137 (Money: +0.136)
  0.550 0.160 0.008 - 0.450 0.126 0.005
Cubeful equities:
1. No double           +0.204
2. Double, pass        +1.000  (+0.796)
3. Double, take        -0.035  (-0.239)
Proper cube action: No double, take (23.1%)

Rolled 65 (+0.152):
*    1. Cubeful 2-ply    24/18 13/8                   Eq.: +0.348
       0.594 0.166 0.008 - 0.406 0.116 0.003
     2. Cubeful 2-ply    13/8 13/7                    Eq.: +0.179 (-0.169)
       0.543 0.177 0.010 - 0.457 0.133 0.008
     3. Cubeful 2-ply    24/13                        Eq.: +0.059 (-0.289)
       0.519 0.136 0.004 - 0.481 0.131 0.004
     4. Cubeful 0-ply    24/18 8/3                    Eq.: -0.073 (-0.421)
       0.485 0.149 0.006 - 0.515 0.171 0.007
     5. Cubeful 0-ply    13/7 8/3                     Eq.: -0.183 (-0.531)
       0.454 0.146 0.007 - 0.546 0.178 0.013


Move number 7:  gnubg_checker3ply_cube2ply to play 64

 GNU Backgammon  Position ID: 2M7gQSBwZ/ABGA
                 Match ID   : MAHzAAAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: gnubg_checker3ply_cube2ply
 | X           O  X |   | O  O           X |     0 points
 | X           O    |   | O  O             |     Rolled 64
 | X                |   | O  O             |     
 | X                |   |                  |     
 |                  |   |                  |    
^|                  |BAR|                  |     7 points match (Cube: 1)
 | O                |   |                  |    
 | O                |   |                  |     
 | O                |   | X                |     
 | O           X    |   | X  X  X     O    |     
 | O           X    |   | X  X  X     O    |     0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: sage_checker4ply_cube3ply
Pip counts: O 160, X 146

* gnubg_checker3ply_cube2ply moves 13/9 13/7*

Cube analysis
4-ply cubeless equity -0.249 (Money: -0.247)
  0.403 0.119 0.004 - 0.597 0.167 0.008
Cubeful equities:
1. No double           -0.378
2. Double, pass        +1.000  (+1.378)
3. Double, take        -0.944  (-0.566)
Proper cube action: No double, take (29.1%)

Rolled 64 (+0.022):
*    1. Cubeful 4-ply    13/9 13/7*                   Eq.: -0.347
       0.421 0.133 0.006 - 0.579 0.193 0.012
     2. Cubeful 4-ply    13/7* 5/1*                   Eq.: -0.407 (-0.060)
       0.404 0.136 0.004 - 0.596 0.198 0.013
     3. Cubeful 2-ply    13/7*/3                      Eq.: -0.464 (-0.117)
       0.391 0.114 0.005 - 0.609 0.190 0.011
     4. Cubeful 2-ply    13/3                         Eq.: -0.694 (-0.347)
       0.327 0.077 0.002 - 0.673 0.169 0.008
     5. Cubeful 0-ply    13/7* 6/2                    Eq.: -0.728 (-0.381)
       0.349 0.088 0.004 - 0.651 0.247 0.021


Move number 8:  sage_checker4ply_cube3ply to play 42

 GNU Backgammon  Position ID: cNfCARjYzuABUA
                 Match ID   : cAnqAAAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: gnubg_checker3ply_cube2ply
 | X        O  O  O |   | O  O           X |     0 points
 | X           O    |   | O  O             |     
 | X                |   | O  O             |     
 | X                |   |                  |     
 |                  |   |                  |    
v|                  |BAR|                  |     7 points match (Cube: 1)
 |                  |   |                  |    
 |                  |   |                  |     
 | O                |   | X                |     
 | O           X    |   | X  X  X     O    |     Rolled 42
 | O           X    | X | X  X  X     O    |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: sage_checker4ply_cube3ply
Pip counts: O 150, X 153

* sage_checker4ply_cube3ply moves bar/23 13/9

Cube analysis
4-ply cubeless equity +0.226 (Money: +0.224)
  0.579 0.193 0.012 - 0.421 0.133 0.006
Cubeful equities:
1. No double           +0.347
2. Double, pass        +1.000  (+0.653)
3. Double, take        +0.167  (-0.179)
Proper cube action: No double, take (21.6%)

Rolled 42 (-0.259):
*    1. Cubeful 4-ply    bar/23 13/9                  Eq.: +0.104
       0.533 0.169 0.009 - 0.467 0.168 0.008
     2. Cubeful 4-ply    bar/21 24/22                 Eq.: +0.079 (-0.025)
       0.531 0.168 0.010 - 0.469 0.185 0.006
     3. Cubeful 2-ply    bar/21 13/11                 Eq.: +0.014 (-0.090)
       0.514 0.163 0.009 - 0.486 0.185 0.010
     4. Cubeful 2-ply    bar/21 6/4                   Eq.: -0.073 (-0.177)
       0.490 0.152 0.008 - 0.510 0.187 0.008
     5. Cubeful 0-ply    bar/23 8/4                   Eq.: -0.313 (-0.417)
       0.429 0.139 0.008 - 0.571 0.212 0.013


Move number 9:  gnubg_checker3ply_cube2ply to play 44

 GNU Backgammon  Position ID: 2M7CAShw18IBGA
                 Match ID   : MAHyAAAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: gnubg_checker3ply_cube2ply
 | X        O  O  O |   | O  O        X  X |     0 points
 | X           O    |   | O  O             |     Rolled 44
 | X                |   | O  O             |     
 |                  |   |                  |     
 |                  |   |                  |    
^|                  |BAR|                  |     7 points match (Cube: 1)
 |                  |   |                  |    
 |                  |   |                  |     
 | O                |   | X                |     
 | O           X    |   | X  X  X     O    |     
 | O        X  X    |   | X  X  X     O    |     0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: sage_checker4ply_cube3ply
Pip counts: O 150, X 147

* gnubg_checker3ply_cube2ply moves 9/1* 6/2* 5/1

Cube analysis
4-ply cubeless equity -0.068 (Money: -0.068)
  0.467 0.168 0.008 - 0.533 0.169 0.009
Cubeful equities:
1. No double           -0.104
2. Double, pass        +1.000  (+1.104)
3. Double, take        -0.522  (-0.418)
Proper cube action: No double, take (27.5%)

Rolled 44 (+0.006):
*    1. Cubeful 2-ply    9/1* 6/2* 5/1                Eq.: -0.082
       0.452 0.254 0.010 - 0.548 0.185 0.012
     2. Cubeful 2-ply    8/4(2) 6/2* 5/1*             Eq.: -0.185 (-0.103)
       0.446 0.220 0.011 - 0.554 0.228 0.022
     3. Cubeful 2-ply    13/9 8/4(2) 6/2*             Eq.: -0.292 (-0.210)
       0.426 0.181 0.012 - 0.574 0.216 0.016
     4. Cubeful 2-ply    13/9 8/4(2) 5/1*             Eq.: -0.345 (-0.264)
       0.408 0.177 0.009 - 0.592 0.209 0.014
     5. Cubeful 2-ply    13/1* 5/1                    Eq.: -0.367 (-0.285)
       0.395 0.182 0.007 - 0.605 0.199 0.014


Move number 10:  sage_checker4ply_cube3ply to play 32

 GNU Backgammon  Position ID: i63BARjYzsIBYA
                 Match ID   : cInpAAAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: gnubg_checker3ply_cube2ply
 | X           O  O |   | O  O        O  O |     0 points
 | X           O    |   | O  O           O |     
 | X                |   |                  |     
 |                  |   |                  |     
 |                  |   |                  |    
v|                  |BAR|                  |     7 points match (Cube: 1)
 |                  |   |                  |    
 |                  |   |                  |     
 | O                |   | X                |     
 | O           X    | X | X  X  X     O    |     Rolled 32
 | O        X  X    | X | X  X  X     O    |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: sage_checker4ply_cube3ply
Pip counts: O 134, X 150

* sage_checker4ply_cube3ply moves bar/23* bar/22

Cube analysis
4-ply cubeless equity +0.013 (Money: +0.014)
  0.544 0.187 0.012 - 0.456 0.262 0.010
Cubeful equities:
1. No double           +0.052
2. Double, pass        +1.000  (+0.948)
3. Double, take        -0.265  (-0.317)
Proper cube action: No double, take (25.1%)
Alert: very lucky roll! ( +0.776)

Rolled 32 (+0.776):
*    1. Cubeful 0-ply    bar/23* bar/22               Eq.: +0.888
       0.709 0.296 0.024 - 0.291 0.093 0.004


Move number 11:  gnubg_checker3ply_cube2ply to play 31

 GNU Backgammon  Position ID: 2M7CARTD1uAATA
                 Match ID   : MIHlAAAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: gnubg_checker3ply_cube2ply
 | X           O  O | O | O  O     X  X  O |     0 points
 | X           O    |   | O  O           O |     Rolled 31
 | X                |   |                  |     
 |                  |   |                  |     
 |                  |   |                  |    
^|                  |BAR|                  |     7 points match (Cube: 1)
 |                  |   |                  |    
 |                  |   |                  |     
 | O                |   | X                |     
 | O           X    |   | X  X  X     O    |     
 | O        X  X    |   | X  X  X     O    |     0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: sage_checker4ply_cube3ply
Pip counts: O 157, X 145

* gnubg_checker3ply_cube2ply moves bar/22 7/6

Cube analysis
4-ply cubeless equity -0.631 (Money: -0.624)
  0.291 0.090 0.003 - 0.709 0.278 0.020
Cubeful equities:
1. No double           -0.924
2. Double, pass        +1.000  (+1.924)
3. Double, take        -1.858  (-0.934)
Proper cube action: No double, take (32.7%)

Rolled 31 (+0.019):
     1. Cubeful 4-ply    bar/22 23/22                 Eq.: -0.946
       0.308 0.081 0.003 - 0.692 0.254 0.013
*    2. Cubeful 4-ply    bar/22 7/6                   Eq.: -0.951 (-0.005)
       0.298 0.086 0.003 - 0.702 0.236 0.014
     3. Cubeful 4-ply    bar/24 7/4                   Eq.: -1.000 (-0.054)
       0.274 0.078 0.003 - 0.726 0.301 0.025
     4. Cubeful 4-ply    bar/22 8/7                   Eq.: -1.000 (-0.054)
       0.258 0.067 0.002 - 0.742 0.303 0.021
     5. Cubeful 2-ply    bar/24 13/10                 Eq.: -1.028 (-0.081)
       0.247 0.065 0.002 - 0.753 0.342 0.034


Move number 12:  sage_checker4ply_cube3ply on roll, cube decision?

 GNU Backgammon  Position ID: w87gABrYzsIBFA
                 Match ID   : cAngAAAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: gnubg_checker3ply_cube2ply
 | X           O    |   | O  O     X  X  O |     0 points
 | X           O    |   | O  O           O |     
 | X                |   | O                |     
 |                  |   |                  |     
 |                  |   |                  |    
v|                  |BAR|                  |     7 points match (Cube: 1)
 |                  |   |                  |    
 |                  |   |                  |     
 | O                |   | X                |     
 | O           X    |   | X  X  X     O    |     On roll
 | O        X  X    |   | X  X  X  O  O    |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: sage_checker4ply_cube3ply
Pip counts: O 153, X 145

* sage_checker4ply_cube3ply doubles


Cube analysis
4-ply cubeless equity +0.569 (Money: +0.565)
  0.702 0.236 0.014 - 0.298 0.086 0.003
Cubeful equities:
1. Double, take        +0.951
2. Double, pass        +1.000  (+0.049)
3. No double           +0.830  (-0.122)
Proper cube action: Double, take
Move number 13:  sage_checker4ply_cube3ply doubles to 2

 GNU Backgammon  Position ID: w87gABrYzsIBFA
                 Match ID   : cBHgAAAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: gnubg_checker3ply_cube2ply
 | X           O    |   | O  O     X  X  O |     0 points
 | X           O    |   | O  O           O |     Cube offered at 2
 | X                |   | O                |     
 |                  |   |                  |     
 |                  |   |                  |    
v|                  |BAR|                  |     
 |                  |   |                  |    
 |                  |   |                  |     
 | O                |   | X                |     
 | O           X    |   | X  X  X     O    |     
 | O        X  X    |   | X  X  X  O  O    |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: sage_checker4ply_cube3ply
Pip counts: O 153, X 145

* gnubg_checker3ply_cube2ply accepts


Cube analysis
4-ply cubeless equity -0.569 (Money: -0.565)
  0.298 0.086 0.003 - 0.702 0.236 0.014
Cubeful equities:
1. Double, take        -0.951
2. Double, pass        -1.000  (-0.049)
3. No double           -0.830  (+0.122)
Proper cube action: Double, take
Move number 14:  sage_checker4ply_cube3ply to play 31

 GNU Backgammon  Position ID: w87gABrYzsIBFA
                 Match ID   : QYnlAAAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: gnubg_checker3ply_cu (Cube: 2)
 | X           O    |   | O  O     X  X  O |     0 points
 | X           O    |   | O  O           O |     
 | X                |   | O                |     
 |                  |   |                  |     
 |                  |   |                  |    
v|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   |                  |     
 | O                |   | X                |     
 | O           X    |   | X  X  X     O    |     Rolled 31
 | O        X  X    |   | X  X  X  O  O    |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: sage_checker4ply_cube3ply
Pip counts: O 153, X 145

* sage_checker4ply_cube3ply moves 13/9

Rolled 31 (-0.051):
*    1. Cubeful 4-ply    13/9                         Eq.: +0.427
       0.689 0.236 0.014 - 0.311 0.102 0.003
     2. Cubeful 4-ply    23/22 6/3*                   Eq.: +0.393 (-0.034)
       0.676 0.233 0.013 - 0.324 0.098 0.003
     3. Cubeful 2-ply    9/8 6/3*                     Eq.: +0.331 (-0.096)
       0.659 0.230 0.016 - 0.341 0.117 0.005
     4. Cubeful 2-ply    23/22 9/6                    Eq.: +0.316 (-0.110)
       0.654 0.205 0.010 - 0.346 0.090 0.002
     5. Cubeful 2-ply    22/21 6/3*                   Eq.: +0.285 (-0.142)
       0.647 0.233 0.017 - 0.353 0.140 0.008


Move number 15:  gnubg_checker3ply_cube2ply to play 64

 GNU Backgammon  Position ID: 2M6GARTDzuAAGg
                 Match ID   : AQHzAAAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: gnubg_checker3ply_cu (Cube: 2)
 | X           O    |   | O  O     X  X  O |     0 points
 | X           O    |   | O  O           O |     Rolled 64
 |                  |   | O                |     
 |                  |   |                  |     
 |                  |   |                  |    
^|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   |                  |     
 | O                |   | X                |     
 | O        X  X    |   | X  X  X     O    |     
 | O        X  X    |   | X  X  X  O  O    |     0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: sage_checker4ply_cube3ply
Pip counts: O 153, X 141

* gnubg_checker3ply_cube2ply moves 8/2* 6/2

Cube analysis
4-ply cubeless equity -0.536 (Money: -0.525)
  0.311 0.102 0.003 - 0.689 0.236 0.014
Cubeful equities:
1. No double           -0.427
2. Double, pass        +1.000  (+1.427)
3. Double, take        -1.516  (-1.089)
Proper cube action: No redouble, take (43.3%)

Rolled 64 (-0.014):
*    1. Cubeful 2-ply    8/2* 6/2                     Eq.: -0.465
       0.297 0.111 0.003 - 0.703 0.248 0.015
     2. Cubeful 2-ply    13/3*                        Eq.: -0.546 (-0.081)
       0.283 0.094 0.003 - 0.717 0.276 0.019
     3. Cubeful 2-ply    22/18 8/2*                   Eq.: -0.619 (-0.154)
       0.274 0.086 0.002 - 0.726 0.314 0.025
     4. Cubeful 2-ply    13/7 6/2*                    Eq.: -0.655 (-0.190)
       0.259 0.080 0.002 - 0.741 0.306 0.025
     5. Cubeful 2-ply    13/9 8/2*                    Eq.: -0.743 (-0.278)
       0.243 0.075 0.002 - 0.757 0.343 0.032


Move number 16:  sage_checker4ply_cube3ply to play 43

 GNU Backgammon  Position ID: G5vgABrYzoYBRA
                 Match ID   : QQnuAAAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: gnubg_checker3ply_cu (Cube: 2)
 | X           O    |   | O  O     X  O  O |     0 points
 | X                |   | O  O        O  O |     
 |                  |   |                  |     
 |                  |   |                  |     
 |                  |   |                  |    
v|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   |                  |     
 | O                |   | X                |     
 | O        X  X    |   | X  X  X     O    |     Rolled 43
 | O        X  X    | X | X  X  X  O  O    |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: sage_checker4ply_cube3ply
Pip counts: O 143, X 143

* sage_checker4ply_cube3ply moves bar/21 6/3*

Rolled 43 (+0.074):
*    1. Cubeful 2-ply    bar/21 6/3*                  Eq.: +0.544
       0.719 0.286 0.021 - 0.281 0.114 0.004
     2. Cubeful 2-ply    bar/22 13/9                  Eq.: +0.460 (-0.085)
       0.692 0.245 0.015 - 0.308 0.084 0.002
     3. Cubeful 2-ply    bar/18                       Eq.: +0.370 (-0.174)
       0.677 0.238 0.017 - 0.323 0.135 0.003
     4. Cubeful 2-ply    bar/22 9/5                   Eq.: +0.319 (-0.225)
       0.653 0.222 0.013 - 0.347 0.104 0.002
     5. Cubeful 0-ply    bar/21 13/10                 Eq.: +0.129 (-0.416)
       0.612 0.207 0.016 - 0.388 0.185 0.012


Move number 17:  gnubg_checker3ply_cube2ply to play 64

 GNU Backgammon  Position ID: tM2GAQobm+AATA
                 Match ID   : AQHzAAAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: gnubg_checker3ply_cu (Cube: 2)
 | X           O    | O | O  O  X  X  O  O |     0 points
 | X                |   | O  O        O  O |     Rolled 64
 |                  |   |                  |     
 |                  |   |                  |     
 |                  |   |                  |    
^|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   |                  |     
 | O                |   |                  |     
 | O        X  X    |   | X  X  X     O    |     
 | O        X  X    |   | X  X  X  X  O    |     0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: sage_checker4ply_cube3ply
Pip counts: O 146, X 136

* gnubg_checker3ply_cube2ply cannot move

Cube analysis
4-ply cubeless equity -0.645 (Money: -0.630)
  0.281 0.111 0.004 - 0.719 0.286 0.020
Cubeful equities:
1. No double           -0.546
2. Double, pass        +1.000  (+1.546)
3. Double, take        -1.642  (-1.096)
Proper cube action: No redouble, take (41.5%)
Alert: unlucky roll! ( -0.340)

Rolled 64 (-0.340):
*    Cannot move


Move number 18:  sage_checker4ply_cube3ply to play 11

 GNU Backgammon  Position ID: G5vgAEy0zYYBCg
                 Match ID   : QYnkAAAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: gnubg_checker3ply_cu (Cube: 2)
 | X           O    | O | O  O  X  X  O  O |     0 points
 | X                |   | O  O        O  O |     
 |                  |   |                  |     
 |                  |   |                  |     
 |                  |   |                  |    
v|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   |                  |     
 | O                |   |                  |     
 | O        X  X    |   | X  X  X     O    |     Rolled 11
 | O        X  X    |   | X  X  X  X  O    |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: sage_checker4ply_cube3ply
Pip counts: O 146, X 136

* sage_checker4ply_cube3ply moves 9/7(2)

Rolled 11 (-0.104):
*    1. Cubeful 2-ply    9/7(2)                       Eq.: +0.817
       0.804 0.308 0.020 - 0.196 0.066 0.002
     2. Cubeful 2-ply    22/21 9/6                    Eq.: +0.551 (-0.266)
       0.717 0.277 0.020 - 0.283 0.092 0.002
     3. Cubeful 2-ply    22/21 9/7 8/7                Eq.: +0.463 (-0.354)
       0.701 0.265 0.018 - 0.299 0.127 0.005
     4. Cubeful 0-ply    22/21 8/7(2) 4/3             Eq.: +0.461 (-0.356)
       0.696 0.238 0.019 - 0.304 0.090 0.003
     5. Cubeful 0-ply    22/21 9/7 9/8                Eq.: +0.425 (-0.392)
       0.686 0.251 0.019 - 0.314 0.114 0.005


Move number 19:  gnubg_checker3ply_cube2ply to play 64

 GNU Backgammon  Position ID: tG2DAQobm+AATA
                 Match ID   : AQHzAAAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: gnubg_checker3ply_cu (Cube: 2)
 | X           O    | O | O  O  X  X  O  O |     0 points
 | X                |   | O  O        O  O |     Rolled 64
 |                  |   |                  |     
 |                  |   |                  |     
 |                  |   |                  |    
^|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   |                  |     
 | O                |   |                  |     
 | O           X  X |   | X  X  X     O    |     
 | O           X  X |   | X  X  X  X  O    |     0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: sage_checker4ply_cube3ply
Pip counts: O 146, X 132

* gnubg_checker3ply_cube2ply cannot move

Cube analysis
4-ply cubeless equity -0.899 (Money: -0.879)
  0.192 0.063 0.002 - 0.808 0.309 0.019
Cubeful equities:
1. No double           -0.831
2. Double, pass        +1.000  (+1.831)
3. Double, take        -2.136  (-1.305)
Proper cube action: No redouble, take (41.6%)

Rolled 64 (-0.201):
*    Cannot move


Move number 20:  sage_checker4ply_cube3ply to play 61

 GNU Backgammon  Position ID: G5vgAEy0bYMBCg
                 Match ID   : QQnnAAAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: gnubg_checker3ply_cu (Cube: 2)
 | X           O    | O | O  O  X  X  O  O |     0 points
 | X                |   | O  O        O  O |     
 |                  |   |                  |     
 |                  |   |                  |     
 |                  |   |                  |    
v|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   |                  |     
 | O                |   |                  |     
 | O           X  X |   | X  X  X     O    |     Rolled 61
 | O           X  X |   | X  X  X  X  O    |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: sage_checker4ply_cube3ply
Pip counts: O 146, X 132

* sage_checker4ply_cube3ply moves 22/21 13/7

Rolled 61 (-0.165):
*    1. Cubeful 4-ply    22/21 13/7                   Eq.: +0.883
       0.826 0.298 0.018 - 0.174 0.042 0.001
     2. Cubeful 4-ply    13/6                         Eq.: +0.820 (-0.063)
       0.803 0.311 0.020 - 0.197 0.066 0.003
     3. Cubeful 4-ply    21/14                        Eq.: +0.807 (-0.075)
       0.807 0.293 0.018 - 0.193 0.066 0.002
     4. Cubeful 2-ply    22/15                        Eq.: +0.774 (-0.109)
       0.799 0.284 0.018 - 0.201 0.071 0.002
     5. Cubeful 2-ply    22/16 4/3                    Eq.: +0.522 (-0.361)
       0.729 0.237 0.015 - 0.271 0.105 0.003


Move number 21:  gnubg_checker3ply_cube2ply to play 42

 GNU Backgammon  Position ID: tO0GAQYbm+AATA
                 Match ID   : AQHqAAAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: gnubg_checker3ply_cu (Cube: 2)
 | X           O    | O | O  O  X     O  O |     0 points
 |                  |   | O  O  X     O  O |     Rolled 42
 |                  |   |                  |     
 |                  |   |                  |     
 |                  |   |                  |    
^|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   |                  |     
 | O              X |   |                  |     
 | O           X  X |   | X  X  X     O    |     
 | O           X  X |   | X  X  X  X  O    |     0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: sage_checker4ply_cube3ply
Pip counts: O 146, X 125

* gnubg_checker3ply_cube2ply moves bar/23 13/9

Cube analysis
4-ply cubeless equity -0.947 (Money: -0.925)
  0.174 0.042 0.001 - 0.826 0.298 0.018
Cubeful equities:
1. No double           -0.883
2. Double, pass        +1.000  (+1.883)
3. Double, take        -2.169  (-1.287)
Proper cube action: No redouble, take (40.6%)

Rolled 42 (-0.200):
*    1. Cubeful 2-ply    bar/23 13/9                  Eq.: -1.062
       0.125 0.025 0.001 - 0.875 0.340 0.019
     2. Cubeful 2-ply    bar/23 6/2                   Eq.: -1.199 (-0.137)
       0.106 0.016 0.000 - 0.894 0.411 0.027
     3. Cubeful 2-ply    bar/23 5/1                   Eq.: -1.204 (-0.142)
       0.104 0.015 0.000 - 0.896 0.409 0.028


Move number 22:  sage_checker4ply_cube3ply to play 51

 GNU Backgammon  Position ID: G5vCABy07QYBBg
                 Match ID   : QYnmAAAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: gnubg_checker3ply_cu (Cube: 2)
 | X        O  O    |   | O  O  X     O  O |     0 points
 |                  |   | O  O  X     O  O |     
 |                  |   |                  |     
 |                  |   |                  |     
 |                  |   |                  |    
v|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   |                  |     
 |                X |   |             O    |     
 | O           X  X |   | X  X  X     O    |     Rolled 51
 | O           X  X |   | X  X  X  X  O    |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: sage_checker4ply_cube3ply
Pip counts: O 140, X 125

* sage_checker4ply_cube3ply moves 21/16* 7/6

Rolled 51 (-0.014):
*    1. Cubeful 4-ply    21/16* 7/6                   Eq.: +1.121
       0.871 0.407 0.025 - 0.129 0.034 0.002
     2. Cubeful 4-ply    21/16*/15                    Eq.: +1.110 (-0.011)
       0.870 0.403 0.024 - 0.130 0.036 0.002
     3. Cubeful 2-ply    13/8 7/6                     Eq.: +0.938 (-0.184)
       0.861 0.260 0.014 - 0.139 0.026 0.000
     4. Cubeful 2-ply    13/7                         Eq.: +0.891 (-0.230)
       0.847 0.255 0.014 - 0.153 0.032 0.001
     5. Cubeful 2-ply    21/16* 4/3                   Eq.: +0.816 (-0.305)
       0.792 0.341 0.022 - 0.208 0.077 0.004


Move number 23:  gnubg_checker3ply_cube2ply to play 65

 GNU Backgammon  Position ID: tN0GEQQbm2AATg
                 Match ID   : AQH3AAAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: gnubg_checker3ply_cu (Cube: 2)
 | X        X  O    | O | O  O  X     O  O |     0 points
 |                  |   | O  O        O  O |     Rolled 65
 |                  |   |                  |     
 |                  |   |                  |     
 |                  |   |                  |    
^|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   |                  |     
 |                  |   | X           O    |     
 | O           X  X |   | X  X  X     O    |     
 | O           X  X |   | X  X  X  X  O    |     0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: sage_checker4ply_cube3ply
Pip counts: O 156, X 119

* gnubg_checker3ply_cube2ply cannot move

Cube analysis
4-ply cubeless equity -1.170 (Money: -1.139)
  0.129 0.034 0.002 - 0.871 0.407 0.025
Cubeful equities:
1. No double           -1.121
2. Double, pass        +1.000  (+2.121)
3. Double, take        -2.433  (-1.311)
Proper cube action: No redouble, take (38.2%)

Rolled 65 (-0.161):
*    Cannot move


Move number 24:  sage_checker4ply_cube3ply to play 54

 GNU Backgammon  Position ID: G5tgAE603QYRBA
                 Match ID   : QYnyAAAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: gnubg_checker3ply_cu (Cube: 2)
 | X        X  O    | O | O  O  X     O  O |     0 points
 |                  |   | O  O        O  O |     
 |                  |   |                  |     
 |                  |   |                  |     
 |                  |   |                  |    
v|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   |                  |     
 |                  |   | X           O    |     
 | O           X  X |   | X  X  X     O    |     Rolled 54
 | O           X  X |   | X  X  X  X  O    |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: sage_checker4ply_cube3ply
Pip counts: O 156, X 119

* sage_checker4ply_cube3ply moves 21/17* 8/3

Rolled 54 (+0.092):
*    1. Cubeful 4-ply    21/17* 8/3                   Eq.: +1.375
       0.877 0.586 0.053 - 0.123 0.010 0.000
     2. Cubeful 4-ply    21/17* 13/8                  Eq.: +1.318 (-0.057)
       0.882 0.532 0.045 - 0.118 0.014 0.000
     3. Cubeful 4-ply    21/17* 16/11                 Eq.: +1.306 (-0.069)
       0.879 0.528 0.044 - 0.121 0.014 0.001
     4. Cubeful 2-ply    21/17* 6/1                   Eq.: +1.158 (-0.217)
       0.851 0.485 0.035 - 0.149 0.037 0.002
     5. Cubeful 2-ply    21/16 13/9                   Eq.: +1.154 (-0.221)
       0.884 0.397 0.023 - 0.116 0.019 0.000


Move number 25:  gnubg_checker3ply_cube2ply to play 51

 GNU Backgammon  Position ID: bLsFUQAbGzAAZw
                 Match ID   : AYHmAAAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: gnubg_checker3ply_cu (Cube: 2)
 | X        X  X    | O | O  O        O  O |     0 points
 |                  | O | O  O        O  O |     Rolled 51
 |                  |   |                  |     
 |                  |   |                  |     
 |                  |   |                  |    
^|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   |                  |     
 |                  |   | X           O    |     
 | O              X |   | X  X  X  X  O    |     
 | O           X  X |   | X  X  X  X  O    |     0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: sage_checker4ply_cube3ply
Pip counts: O 173, X 110

* gnubg_checker3ply_cube2ply moves bar/24

Cube analysis
4-ply cubeless equity -1.432 (Money: -1.382)
  0.123 0.010 0.000 - 0.877 0.586 0.053
Cubeful equities:
1. No double           -1.375
2. Double, pass        +1.000  (+2.375)
3. Double, take        -2.673  (-1.297)
Proper cube action: No redouble, take (35.3%)

Rolled 51 (-0.002):
*    1. Cubeful 0-ply    bar/24                       Eq.: -1.349
       0.134 0.008 0.000 - 0.866 0.585 0.059


Move number 26:  sage_checker4ply_cube3ply to play 41

 GNU Backgammon  Position ID: GxswAFdsuwVRAA
                 Match ID   : QQnmAAAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: gnubg_checker3ply_cu (Cube: 2)
 | X        X  X    | O | O  O        O  O |     0 points
 |                  |   | O  O        O  O |     
 |                  |   |                  |     
 |                  |   |                  |     
 |                  |   |                  |    
v|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   |                  |     
 |                  |   | X           O    |     
 | O              X |   | X  X  X  X  O    |     Rolled 41
 | O           X  X |   | X  X  X  X  O  O |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: sage_checker4ply_cube3ply
Pip counts: O 172, X 110

* sage_checker4ply_cube3ply moves 13/8

Rolled 41 (+0.078):
*    1. Cubeful 2-ply    13/8                         Eq.: +1.430
       0.896 0.580 0.060 - 0.104 0.004 0.000
     2. Cubeful 2-ply    17/16 13/9                   Eq.: +1.312 (-0.119)
       0.864 0.549 0.060 - 0.136 0.011 0.000
     3. Cubeful 2-ply    17/13 6/5                    Eq.: +1.285 (-0.146)
       0.860 0.535 0.058 - 0.140 0.012 0.000
     4. Cubeful 2-ply    6/1*                         Eq.: +1.284 (-0.147)
       0.855 0.575 0.044 - 0.145 0.027 0.002
     5. Cubeful 2-ply    17/16 8/4                    Eq.: +1.280 (-0.151)
       0.848 0.552 0.064 - 0.152 0.010 0.000


Move number 27:  gnubg_checker3ply_cube2ply to play 66

 GNU Backgammon  Position ID: bLsNUAAbGzAAVw
                 Match ID   : AQH7AAAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: gnubg_checker3ply_cu (Cube: 2)
 |          X  X    | O | O  O        O  O |     0 points
 |                  |   | O  O        O  O |     Rolled 66
 |                  |   |                  |     
 |                  |   |                  |     
 |                  |   |                  |    
^|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   |                  |     
 |                  |   | X           O    |     
 | O           X  X |   | X  X  X  X  O    |     
 | O           X  X |   | X  X  X  X  O  O |     0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: sage_checker4ply_cube3ply
Pip counts: O 172, X 105

* gnubg_checker3ply_cube2ply cannot move

Cube analysis
4-ply cubeless equity -1.477 (Money: -1.425)
  0.105 0.004 0.000 - 0.895 0.581 0.058
Cubeful equities:
1. No double           -1.428
2. Double, pass        +1.000  (+2.428)
3. Double, take        -2.746  (-1.318)
Proper cube action: No redouble, take (35.2%)

Rolled 66 (+0.003):
*    Cannot move


Move number 28:  sage_checker4ply_cube3ply to play 61

 GNU Backgammon  Position ID: GxswAFdsuw1QAA
                 Match ID   : QQnnAAAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: gnubg_checker3ply_cu (Cube: 2)
 |          X  X    | O | O  O        O  O |     0 points
 |                  |   | O  O        O  O |     
 |                  |   |                  |     
 |                  |   |                  |     
 |                  |   |                  |    
v|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   |                  |     
 |                  |   | X           O    |     
 | O           X  X |   | X  X  X  X  O    |     Rolled 61
 | O           X  X |   | X  X  X  X  O  O |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: sage_checker4ply_cube3ply
Pip counts: O 172, X 105

* sage_checker4ply_cube3ply moves 16/9

Rolled 61 (-0.023):
*    1. Cubeful 4-ply    16/9                         Eq.: +1.362
       0.870 0.576 0.059 - 0.130 0.004 0.000
     2. Cubeful 4-ply    16/10 6/5                    Eq.: +1.362 (-0.000)
       0.870 0.576 0.060 - 0.130 0.004 0.000
     3. Cubeful 4-ply    17/10                        Eq.: +1.360 (-0.002)
       0.870 0.575 0.059 - 0.130 0.004 0.000
     4. Cubeful 4-ply    17/11 6/5                    Eq.: +1.357 (-0.006)
       0.870 0.573 0.058 - 0.130 0.004 0.000
     5. Cubeful 2-ply    17/11 16/15                  Eq.: +1.358 (-0.004)
       0.871 0.569 0.061 - 0.129 0.004 0.000


Move number 29:  gnubg_checker3ply_cube2ply to play 21

 GNU Backgammon  Position ID: bLstQAAbGzAAVw
                 Match ID   : AQHlAAAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: gnubg_checker3ply_cu (Cube: 2)
 |             X    | O | O  O        O  O |     0 points
 |                  |   | O  O        O  O |     Rolled 21
 |                  |   |                  |     
 |                  |   |                  |     
 |                  |   |                  |    
^|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   |                  |     
 |                  |   | X           O    |     
 | O           X  X |   | X  X  X  X  O    |     
 | O        X  X  X |   | X  X  X  X  O  O |     0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: sage_checker4ply_cube3ply
Pip counts: O 172, X 98

* gnubg_checker3ply_cube2ply moves bar/24 6/4

Cube analysis
4-ply cubeless equity -1.423 (Money: -1.372)
  0.130 0.004 0.000 - 0.870 0.576 0.059
Cubeful equities:
1. No double           -1.362
2. Double, pass        +1.000  (+2.362)
3. Double, take        -2.634  (-1.272)
Proper cube action: No redouble, take (35.0%)

Rolled 21 (+0.213):
*    1. Cubeful 4-ply    bar/24 6/4                   Eq.: -1.140
       0.167 0.003 0.000 - 0.833 0.450 0.060
     2. Cubeful 4-ply    bar/24 5/3                   Eq.: -1.147 (-0.007)
       0.164 0.003 0.000 - 0.836 0.451 0.059
     3. Cubeful 4-ply    bar/24 13/11                 Eq.: -1.153 (-0.014)
       0.160 0.003 0.000 - 0.840 0.450 0.058
     4. Cubeful 2-ply    bar/23 24/23                 Eq.: -1.456 (-0.317)
       0.089 0.005 0.000 - 0.911 0.595 0.037
     5. Cubeful 0-ply    bar/23 6/5                   Eq.: -1.482 (-0.342)
       0.091 0.004 0.000 - 0.909 0.610 0.053


Move number 30:  sage_checker4ply_cube3ply to play 52

 GNU Backgammon  Position ID: mxYwADdsuy1AAA
                 Match ID   : QYnqAAAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: gnubg_checker3ply_cu (Cube: 2)
 |             X    |   | O  O  O     O  O |     0 points
 |                  |   |    O        O  O |     
 |                  |   |                  |     
 |                  |   |                  |     
 |                  |   |                  |    
v|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   |                  |     
 |                  |   | X           O    |     
 | O           X  X |   | X  X  X  X  O  O |     Rolled 52
 | O        X  X  X |   | X  X  X  X  O  O |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: sage_checker4ply_cube3ply
Pip counts: O 169, X 98

* sage_checker4ply_cube3ply moves 17/15 9/4

Rolled 52 (+0.023):
*    1. Cubeful 4-ply    17/15 9/4                    Eq.: +1.183
       0.845 0.459 0.064 - 0.155 0.003 0.000
     2. Cubeful 4-ply    17/10                        Eq.: +1.169 (-0.014)
       0.850 0.442 0.055 - 0.150 0.003 0.000
     3. Cubeful 4-ply    9/4 6/4                      Eq.: +1.159 (-0.023)
       0.833 0.461 0.068 - 0.167 0.004 0.000
     4. Cubeful 2-ply    9/4 8/6                      Eq.: +1.050 (-0.133)
       0.794 0.437 0.086 - 0.206 0.011 0.000
     5. Cubeful 2-ply    9/7 8/3                      Eq.: +1.048 (-0.135)
       0.791 0.442 0.087 - 0.209 0.011 0.000


Move number 31:  gnubg_checker3ply_cube2ply to play 21

 GNU Backgammon  Position ID: 7HYbEACbFjAANw
                 Match ID   : AQHlAAAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: gnubg_checker3ply_cu (Cube: 2)
 |       X          |   | O  O  O     O  O |     0 points
 |                  |   |    O        O  O |     Rolled 21
 |                  |   |                  |     
 |                  |   |                  |     
 |                  |   |                  |    
^|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   |                  |     
 |                  |   | X     X     O    |     
 | O           X  X |   | X  X  X  X  O  O |     
 | O           X  X |   | X  X  X  X  O  O |     0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: sage_checker4ply_cube3ply
Pip counts: O 169, X 91

* gnubg_checker3ply_cube2ply moves 6/3

Cube analysis
4-ply cubeless equity -1.253 (Money: -1.209)
  0.155 0.003 0.000 - 0.845 0.459 0.064
Cubeful equities:
1. No double           -1.183
2. Double, pass        +1.000  (+2.183)
3. Double, take        -2.382  (-1.199)
Proper cube action: No redouble, take (35.4%)

Rolled 21 (+0.092):
*    1. Cubeful 4-ply    6/3                          Eq.: -1.033
       0.199 0.004 0.000 - 0.801 0.421 0.064
     2. Cubeful 4-ply    5/3 4/3                      Eq.: -1.035 (-0.001)
       0.200 0.004 0.000 - 0.800 0.424 0.064
     3. Cubeful 4-ply    5/4 5/3                      Eq.: -1.051 (-0.018)
       0.193 0.004 0.000 - 0.807 0.426 0.062
     4. Cubeful 4-ply    13/12 5/3                    Eq.: -1.069 (-0.036)
       0.216 0.004 0.000 - 0.784 0.463 0.096
     5. Cubeful 2-ply    6/4 5/4                      Eq.: -1.052 (-0.019)
       0.194 0.004 0.000 - 0.806 0.422 0.067


Move number 32:  sage_checker4ply_cube3ply to play 55

 GNU Backgammon  Position ID: Ww0wADfsdhsQAA
                 Match ID   : QYn2AAAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: gnubg_checker3ply_cu (Cube: 2)
 |       X          |   |    O  O  O  O  O |     0 points
 |                  |   |    O        O  O |     
 |                  |   |                  |     
 |                  |   |                  |     
 |                  |   |                  |    
v|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   |                  |     
 |                  |   | X     X     O    |     
 | O           X  X |   | X  X  X  X  O  O |     Rolled 55
 | O           X  X |   | X  X  X  X  O  O |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: sage_checker4ply_cube3ply
Pip counts: O 166, X 91

* sage_checker4ply_cube3ply moves 15/5 8/3(2)

Rolled 55 (-0.231):
*    1. Cubeful 0-ply    15/5 8/3(2)                  Eq.: +0.846
       0.734 0.400 0.077 - 0.266 0.005 0.000


Move number 33:  gnubg_checker3ply_cube2ply to play 51

 GNU Backgammon  Position ID: vLsbAABbDTAANw
                 Match ID   : AYHmAAAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: gnubg_checker3ply_cu (Cube: 2)
 |                  |   |    O  O  O  O  O |     0 points
 |                  |   |    O        O  O |     Rolled 51
 |                  |   |                  |     
 |                  |   |                  |     
 |                  |   |                  |    
^|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   |          X       |     
 |                  |   | X  X  X  X  O    |     
 | O              X |   | X  X  X  X  O  O |     
 | O              X |   | X  X  X  X  O  O |     0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: sage_checker4ply_cube3ply
Pip counts: O 166, X 71

* gnubg_checker3ply_cube2ply moves 13/8 4/3

Cube analysis
4-ply cubeless equity -0.968 (Money: -0.927)
  0.272 0.004 0.000 - 0.728 0.400 0.077
Cubeful equities:
1. No double           -0.844
2. Double, pass        +1.000  (+1.844)
3. Double, take        -1.822  (-0.978)
Proper cube action: No redouble, take (34.7%)

Rolled 51 (-0.025):
*    1. Cubeful 4-ply    13/8 4/3                     Eq.: -0.823
       0.278 0.004 0.000 - 0.722 0.395 0.075
     2. Cubeful 4-ply    13/12 13/8                   Eq.: -0.836 (-0.013)
       0.280 0.004 0.000 - 0.720 0.404 0.083
     3. Cubeful 4-ply    13/7                         Eq.: -0.844 (-0.021)
       0.277 0.003 0.000 - 0.723 0.404 0.081
     4. Cubeful 4-ply    13/8 5/4                     Eq.: -0.846 (-0.023)
       0.277 0.003 0.000 - 0.723 0.406 0.083
     5. Cubeful 2-ply    13/8 3/2                     Eq.: -1.021 (-0.198)
       0.215 0.003 0.000 - 0.785 0.432 0.077


Move number 34:  sage_checker4ply_cube3ply to play 51

 GNU Backgammon  Position ID: 24wgADe8uxsAAA
                 Match ID   : QYnmAAAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: gnubg_checker3ply_cu (Cube: 2)
 |             O    |   |    O     O  O  O |     0 points
 |                  |   |    O     O  O  O |     
 |                  |   |                  |     
 |                  |   |                  |     
 |                  |   |                  |    
v|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   |          X       |     
 |                  |   | X  X  X  X  O    |     
 |                X |   | X  X  X  X  O  O |     Rolled 51
 | O              X |   | X  X  X  X  O  O |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: sage_checker4ply_cube3ply
Pip counts: O 160, X 71

* sage_checker4ply_cube3ply moves 6/5

Rolled 51 (+0.044):
*    1. Cubeful 4-ply    6/5                          Eq.: +0.880
       0.751 0.392 0.065 - 0.249 0.006 0.000
     2. Cubeful 4-ply    7/6                          Eq.: +0.875 (-0.005)
       0.742 0.399 0.075 - 0.258 0.007 0.000
     3. Cubeful 4-ply    5/4                          Eq.: +0.869 (-0.010)
       0.749 0.389 0.062 - 0.251 0.006 0.000
     4. Cubeful 4-ply    4/3                          Eq.: +0.834 (-0.046)
       0.741 0.379 0.058 - 0.259 0.006 0.000


Move number 35:  gnubg_checker3ply_cube2ply to play 31

 GNU Backgammon  Position ID: vHsbAADbjCAANw
                 Match ID   : AYHlAAAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: gnubg_checker3ply_cu (Cube: 2)
 |             O    |   |    O     O  O  O |     0 points
 |                  |   |    O     O  O  O |     Rolled 31
 |                  |   |                  |     
 |                  |   |                  |     
 |                  |   |                  |    
^|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   |    X     X       |     
 |                  |   |    X  X  X  O    |     
 |                X |   | X  X  X  X  O  O |     
 | O              X |   | X  X  X  X  O  O |     0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: sage_checker4ply_cube3ply
Pip counts: O 160, X 70

* gnubg_checker3ply_cube2ply moves 13/9

Cube analysis
4-ply cubeless equity -0.991 (Money: -0.952)
  0.249 0.006 0.000 - 0.751 0.392 0.065
Cubeful equities:
1. No double           -0.880
2. Double, pass        +1.000  (+1.880)
3. Double, take        -1.938  (-1.059)
Proper cube action: No redouble, take (36.0%)

Rolled 31 (+0.012):
*    1. Cubeful 4-ply    13/9                         Eq.: -0.860
       0.262 0.005 0.000 - 0.738 0.398 0.070
     2. Cubeful 4-ply    13/10 8/7                    Eq.: -0.867 (-0.006)
       0.261 0.004 0.000 - 0.739 0.400 0.070
     3. Cubeful 4-ply    13/10 5/4                    Eq.: -0.879 (-0.019)
       0.259 0.004 0.000 - 0.741 0.405 0.073
     4. Cubeful 4-ply    8/4                          Eq.: -0.885 (-0.024)
       0.257 0.004 0.000 - 0.743 0.405 0.074
     5. Cubeful 2-ply    13/12 8/5                    Eq.: -0.909 (-0.049)
       0.245 0.005 0.000 - 0.755 0.403 0.071


Move number 36:  sage_checker4ply_cube3ply to play 64

 GNU Backgammon  Position ID: 24wCADe8exsAAA
                 Match ID   : QQnzAAAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: gnubg_checker3ply_cu (Cube: 2)
 |          O  O    |   |    O     O  O  O |     0 points
 |                  |   |    O     O  O  O |     
 |                  |   |                  |     
 |                  |   |                  |     
 |                  |   |                  |    
v|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   |    X     X       |     
 |                  |   |    X  X  X  O    |     
 |                X |   | X  X  X  X  O  O |     Rolled 64
 |                X |   | X  X  X  X  O  O |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: sage_checker4ply_cube3ply
Pip counts: O 156, X 70

* sage_checker4ply_cube3ply moves 7/3

Rolled 64 (-0.188):
*    1. Cubeful 0-ply    7/3                          Eq.: +0.685
       0.702 0.357 0.056 - 0.298 0.018 0.000


Move number 37:  gnubg_checker3ply_cube2ply to play 33

 GNU Backgammon  Position ID: fPcWAADbjAIANw
                 Match ID   : AYHtAAAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: gnubg_checker3ply_cu (Cube: 2)
 |          O  O    |   |    O     O  O  O |     0 points
 |                  |   |    O     O  O  O |     Rolled 33
 |                  |   |                  |     
 |                  |   |                  |     
 |                  |   |                  |    
^|                  |BAR|                  |     7 points match
 |                  |   |          X       |    
 |                  |   |    X     X       |     
 |                  |   |    X  X  X  O    |     
 |                  |   | X  X  X  X  O  O |     
 |                X |   | X  X  X  X  O  O |     0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: sage_checker4ply_cube3ply
Pip counts: O 156, X 66

* gnubg_checker3ply_cube2ply moves 9/3 8/2

Cube analysis
4-ply cubeless equity -0.907 (Money: -0.870)
  0.283 0.011 0.000 - 0.717 0.383 0.065
Cubeful equities:
1. No double           -0.782
2. Double, pass        +1.000  (+1.782)
3. Double, take        -1.747  (-0.964)
Proper cube action: No redouble, take (35.1%)
Alert: unlucky roll! ( -0.463)

Rolled 33 (-0.463):
*    1. Cubeful 4-ply    9/3 8/2                      Eq.: -1.263
       0.130 0.001 0.000 - 0.870 0.473 0.063
     2. Cubeful 4-ply    9/6 8/2 5/2                  Eq.: -1.341 (-0.077)
       0.112 0.000 0.000 - 0.888 0.500 0.067
     3. Cubeful 2-ply    9/3 5/2(2)                   Eq.: -1.391 (-0.127)
       0.093 0.000 0.000 - 0.907 0.508 0.064
     4. Cubeful 2-ply    8/2 5/2(2)                   Eq.: -1.410 (-0.146)
       0.086 0.000 0.000 - 0.914 0.511 0.062


Move number 38:  sage_checker4ply_cube3ply to play 52

 GNU Backgammon  Position ID: uzMAADd89xYAAA
                 Match ID   : QYnqAAAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: gnubg_checker3ply_cu (Cube: 2)
 |                  |   |    O     O  O  O |     0 points
 |                  |   |    O     O  O  O |     
 |                  |   |          O  O    |     
 |                  |   |                  |     
 |                  |   |                  |    
v|                  |BAR|                  |     7 points match
 |                  |   |          X       |    
 |                  |   |    X     X       |     
 |                  |   |    X  X  X  O    |     
 |                  |   | X  X  X  X  O  O |     Rolled 52
 |                X |   | X  X  X  X  O  O |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: sage_checker4ply_cube3ply
Pip counts: O 144, X 66

* sage_checker4ply_cube3ply moves 7/off

Rolled 52 (+0.077):
*    1. Cubeful 0-ply    7/off                        Eq.: +1.280
       0.875 0.484 0.063 - 0.125 0.000 0.000


Move number 39:  gnubg_checker3ply_cube2ply to play 31

 GNU Backgammon  Position ID: fPcGAIDdGQCAGw
                 Match ID   : AYHlAAAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: gnubg_checker3ply_cu (Cube: 2)
 |                  |   |    O     O  O  O |     0 points
 |                  |   |    O     O  O  O |     Rolled 31
 |                  |   |          O  O    |     
 |                  |   |                  |     
 |                  |   |                  |    
^|                  |BAR|                  |     7 points match
 |                  |   |          X       |    
 |                  |   |    X     X       |     
 |                  |   |    X  X  X  O    |     
 |                  |   | X  X  X  X  O  O |     
 |                  |   | X  X  X  X  O  O | X   0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: sage_checker4ply_cube3ply
Pip counts: O 144, X 59

* gnubg_checker3ply_cube2ply moves 5/1

Cube analysis
4-ply cubeless equity -1.411 (Money: -1.363)
  0.109 0.000 0.000 - 0.891 0.514 0.068
Cubeful equities:
1. No double           -1.362
2. Double, pass        +1.000  (+2.362)
3. Double, take        -2.651  (-1.288)
Proper cube action: No redouble, take (35.3%)

Rolled 31 (-0.152):
     1. Cubeful 4-ply    5/4 5/2                      Eq.: -1.514
       0.077 0.000 0.000 - 0.923 0.568 0.080
*    2. Cubeful 4-ply    5/1                          Eq.: -1.518 (-0.004)
       0.076 0.000 0.000 - 0.924 0.569 0.081
     3. Cubeful 4-ply    5/2 3/2                      Eq.: -1.541 (-0.026)
       0.067 0.000 0.000 - 0.933 0.575 0.076
     4. Cubeful 2-ply    24/23 5/2                    Eq.: -1.749 (-0.235)
       0.046 0.000 0.000 - 0.954 0.737 0.062


Move number 40:  sage_checker4ply_cube3ply to play 32

 GNU Backgammon  Position ID: dycAADd89wYAAA
                 Match ID   : QYnpAAAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: gnubg_checker3ply_cu (Cube: 2)
 |                  |   |    O     O  O  O |     0 points
 |                  |   |          O  O  O |     
 |                  |   |          O  O  O |     
 |                  |   |                  |     
 |                  |   |                  |    
v|                  |BAR|                  |     7 points match
 |                  |   |          X       |    
 |                  |   |    X     X       |     
 |                  |   |    X  X  X  O    |     
 |                  |   | X  X  X  X  O  O |     Rolled 32
 |                  |   | X  X  X  X  O  O | X   0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: sage_checker4ply_cube3ply
Pip counts: O 140, X 59

* sage_checker4ply_cube3ply moves 5/off

Rolled 32 (+0.006):
     1. Cubeful 4-ply    6/4 6/3                      Eq.: +1.511
       0.925 0.573 0.071 - 0.075 0.000 0.000
*    2. Cubeful 4-ply    5/off                        Eq.: +1.507 (-0.005)
       0.929 0.562 0.067 - 0.071 0.000 0.000
     3. Cubeful 4-ply    6/4 3/off                    Eq.: +1.477 (-0.035)
       0.929 0.542 0.060 - 0.071 0.000 0.000
     4. Cubeful 2-ply    6/3 5/3                      Eq.: +1.336 (-0.175)
       0.906 0.485 0.038 - 0.094 0.000 0.000


Move number 41:  gnubg_checker3ply_cube2ply to play 42

 GNU Backgammon  Position ID: fHcDAMDdCQDADQ
                 Match ID   : AQHqAAAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: gnubg_checker3ply_cu (Cube: 2)
 |                  |   |    O     O  O  O |     0 points
 |                  |   |          O  O  O |     Rolled 42
 |                  |   |          O  O  O |     
 |                  |   |                  |     
 |                  |   |                  |    
^|                  |BAR|                  |     7 points match
 |                  |   |          X       |    
 |                  |   |          X       |     
 |                  |   |    X  X  X  O    |     
 |                  |   | X  X  X  X  O  O | X   
 |                  |   | X  X  X  X  O  O | X   0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: sage_checker4ply_cube3ply
Pip counts: O 140, X 54

* gnubg_checker3ply_cube2ply moves 5/1 3/1

Cube analysis
4-ply cubeless equity -1.538 (Money: -1.487)
  0.071 0.000 0.000 - 0.929 0.562 0.067
Cubeful equities:
1. No double           -1.507
2. Double, pass        +1.000  (+2.507)
3. Double, take        -2.871  (-1.365)
Proper cube action: No redouble, take (35.3%)

Rolled 42 (-0.130):
*    1. Cubeful 0-ply    5/1 3/1                      Eq.: -1.630
       0.046 0.000 0.000 - 0.954 0.611 0.078


Move number 42:  sage_checker4ply_cube3ply to play 22

 GNU Backgammon  Position ID: 3w0AADd8dwMAAA
                 Match ID   : QQnpAAAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: gnubg_checker3ply_cu (Cube: 2)
 |                  |   |          O  O  O |     0 points
 |                  |   |          O  O  O |     
 |                  |   |             O  O |     
 |                  |   |                O |     
 |                  |   |                O |    
v|                  |BAR|                  |     7 points match
 |                  |   |          X       |    
 |                  |   |          X       |     
 |                  |   |    X  X  X  O    |     
 |                  |   | X  X  X  X  O  O | X   Rolled 22
 |                  |   | X  X  X  X  O  O | X   0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: sage_checker4ply_cube3ply
Pip counts: O 134, X 54

* sage_checker4ply_cube3ply moves 6/4(2) 5/3(2)

Rolled 22 (-0.262):
*    1. Cubeful 4-ply    6/4(2) 5/3(2)                Eq.: +1.385
       0.920 0.501 0.035 - 0.080 0.000 0.000
     2. Cubeful 4-ply    6/4 5/3(3)                   Eq.: +1.311 (-0.073)
       0.909 0.464 0.028 - 0.091 0.000 0.000


Move number 43:  gnubg_checker3ply_cube2ply to play 41

 GNU Backgammon  Position ID: /H0BAMB3AwDADQ
                 Match ID   : AQHmAAAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: gnubg_checker3ply_cu (Cube: 2)
 |                  |   |          O  O  O |     0 points
 |                  |   |          O  O  O |     Rolled 41
 |                  |   |             O  O |     
 |                  |   |                O |     
 |                  |   |                O |    
^|                  |BAR|                  |     7 points match
 |                  |   |       X  7       |    
 |                  |   |       X  X       |     
 |                  |   |       X  X  O    |     
 |                  |   |       X  X  O  O | X   
 |                  |   |    X  X  X  O  O | X   0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: sage_checker4ply_cube3ply
Pip counts: O 134, X 46

* gnubg_checker3ply_cube2ply moves 24/20*/19

Cube analysis
4-ply cubeless equity -1.418 (Money: -1.376)
  0.080 0.000 0.000 - 0.920 0.501 0.035
Cubeful equities:
1. No double           -1.385
2. Double, pass        +1.000  (+2.385)
3. Double, take        -2.771  (-1.386)
Proper cube action: No redouble, take (36.8%)

Rolled 41 (+0.166):
*    1. Cubeful 4-ply    24/20*/19                    Eq.: -1.173
       0.113 0.000 0.000 - 0.887 0.400 0.014
     2. Cubeful 4-ply    24/20* 2/1                   Eq.: -1.190 (-0.017)
       0.109 0.000 0.000 - 0.891 0.405 0.015
     3. Cubeful 4-ply    24/23 24/20*                 Eq.: -1.230 (-0.057)
       0.097 0.000 0.000 - 0.903 0.417 0.013
     4. Cubeful 2-ply    24/20* 3/2                   Eq.: -1.388 (-0.215)
       0.070 0.000 0.000 - 0.930 0.494 0.024
     5. Cubeful 0-ply    23/19 2/1                    Eq.: -1.643 (-0.469)
       0.044 0.000 0.000 - 0.956 0.629 0.067


Move number 44:  sage_checker4ply_cube3ply to play 42

 GNU Backgammon  Position ID: 3w0AEC78fQAAEA
                 Match ID   : QQnqAAAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: gnubg_checker3ply_cu (Cube: 2)
 |                  |   |          O  O  O |     0 points
 |                  |   |          O  O  O |     
 |                  |   |             O  O |     
 |                  |   |                O |     
 |                  |   |                O |    
v|                  |BAR|                  |     7 points match
 |                  |   |       X  7       |    
 |                  |   |       X  X       |     
 |                  |   |       X  X  O    |     
 |                  |   |       X  X  O    | X   Rolled 42
 |                  | X | O     X  X  O  O | X   0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: sage_checker4ply_cube3ply
Pip counts: O 129, X 66

* sage_checker4ply_cube3ply moves bar/19

Rolled 42 (+0.008):
*    1. Cubeful 4-ply    bar/19                       Eq.: +1.197
       0.892 0.413 0.011 - 0.108 0.000 0.000
     2. Cubeful 4-ply    bar/21 3/1*                  Eq.: +1.130 (-0.068)
       0.876 0.389 0.008 - 0.124 0.000 0.000


Move number 45:  gnubg_checker3ply_cube2ply to play 61

 GNU Backgammon  Position ID: /H0AQMB3AwCECw
                 Match ID   : AQHnAAAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: gnubg_checker3ply_cu (Cube: 2)
 |                  |   | X        O  O  O |     0 points
 |                  |   |          O  O  O |     Rolled 61
 |                  |   |             O  O |     
 |                  |   |                O |     
 |                  |   |                O |    
^|                  |BAR|                  |     7 points match
 |                  |   |       X  7       |    
 |                  |   |       X  X       |     
 |                  |   |       X  X  O    |     
 |                  |   |       X  X  O    | X   
 |                  |   | O     X  X  O  O | X   0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: sage_checker4ply_cube3ply
Pip counts: O 129, X 60

* gnubg_checker3ply_cube2ply moves 23/16

Cube analysis
4-ply cubeless equity -1.241 (Money: -1.208)
  0.108 0.000 0.000 - 0.892 0.413 0.011
Cubeful equities:
1. No double           -1.197
2. Double, pass        +1.000  (+2.197)
3. Double, take        -2.557  (-1.359)
Proper cube action: No redouble, take (38.2%)

Rolled 61 (-0.021):
*    1. Cubeful 4-ply    23/16                        Eq.: -1.166
       0.118 0.000 0.000 - 0.882 0.403 0.014
     2. Cubeful 4-ply    23/17 19/18                  Eq.: -1.179 (-0.013)
       0.117 0.000 0.000 - 0.883 0.412 0.014
     3. Cubeful 4-ply    23/17 2/1                    Eq.: -1.193 (-0.027)
       0.111 0.000 0.000 - 0.889 0.414 0.013
     4. Cubeful 4-ply    24/18 19/18                  Eq.: -1.250 (-0.084)
       0.088 0.000 0.000 - 0.912 0.418 0.010
     5. Cubeful 2-ply    24/17                        Eq.: -1.243 (-0.077)
       0.090 0.000 0.000 - 0.910 0.416 0.011


Move number 46:  sage_checker4ply_cube3ply to play 44

 GNU Backgammon  Position ID: 3w0AIiz8fQBAAA
                 Match ID   : QQnyAAAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: gnubg_checker3ply_cu (Cube: 2)
 |                  |   | X        O  O  O |     0 points
 |                  |   |          O  O  O |     
 |                  |   |             O  O |     
 |                  |   |                O |     
 |                  |   |                O |    
v|                  |BAR|                  |     7 points match
 |                  |   |       X  7       |    
 |                  |   |       X  X       |     
 |                  |   |       X  X       |     
 |                  |   |       X  X  O    | X   Rolled 44
 |          O       |   | O     X  X  O  O | X   0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: sage_checker4ply_cube3ply
Pip counts: O 122, X 60

* sage_checker4ply_cube3ply moves 19/3
Alert: lucky roll! ( +0.421)

Rolled 44 (+0.421):
*    1. Cubeful 0-ply    19/3                         Eq.: +1.613
       0.967 0.621 0.025 - 0.033 0.000 0.000


Move number 47:  gnubg_checker3ply_cube2ply to play 21

 GNU Backgammon  Position ID: /PsAAMB3A4AICw
                 Match ID   : AQHlAAAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: gnubg_checker3ply_cu (Cube: 2)
 |                  |   |          O  O  O |     0 points
 |                  |   |          O  O  O |     Rolled 21
 |                  |   |             O  O |     
 |                  |   |                O |     
 |                  |   |                O |    
^|                  |BAR|                  |     7 points match
 |                  |   |       X  8       |    
 |                  |   |       X  X       |     
 |                  |   |       X  X       |     
 |                  |   |       X  X  O    | X   
 |          O       |   | O     X  X  O  O | X   0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: sage_checker4ply_cube3ply
Pip counts: O 122, X 44

* gnubg_checker3ply_cube2ply moves 19/16

Cube analysis
4-ply cubeless equity -1.626 (Money: -1.575)
  0.042 0.000 0.000 - 0.958 0.633 0.026
Cubeful equities:
1. No double           -1.608
2. Double, pass        +1.000  (+2.608)
3. Double, take        -3.123  (-1.515)
Proper cube action: No redouble, take (36.7%)

Rolled 21 (-0.059):
*    1. Cubeful 4-ply    19/16                        Eq.: -1.646
       0.044 0.000 0.000 - 0.956 0.672 0.026
     2. Cubeful 4-ply    19/17 16/15                  Eq.: -1.650 (-0.004)
       0.044 0.000 0.000 - 0.956 0.674 0.029
     3. Cubeful 4-ply    16/13                        Eq.: -1.650 (-0.004)
       0.044 0.000 0.000 - 0.956 0.672 0.030
     4. Cubeful 4-ply    19/18 16/14                  Eq.: -1.650 (-0.004)
       0.044 0.000 0.000 - 0.956 0.674 0.028
     5. Cubeful 2-ply    19/17 2/1                    Eq.: -1.672 (-0.026)
       0.035 0.000 0.000 - 0.965 0.677 0.027


Move number 48:  sage_checker4ply_cube3ply to play 43

 GNU Backgammon  Position ID: 3w0ABiz8+wAAAA
                 Match ID   : QQnuAAAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: gnubg_checker3ply_cu (Cube: 2)
 |                  |   |          O  O  O |     0 points
 |                  |   |          O  O  O |     
 |                  |   |             O  O |     
 |                  |   |                O |     
 |                  |   |                O |    
v|                  |BAR|                  |     7 points match
 |                  |   |       X  8       |    
 |                  |   |       X  X       |     
 |                  |   |       X  X       |     
 |          O       |   |       X  X  O    | X   Rolled 43
 |          O       |   |       X  X  O  O | X   0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: sage_checker4ply_cube3ply
Pip counts: O 119, X 44

* sage_checker4ply_cube3ply moves 4/off 3/off

Rolled 43 (+0.046):
*    1. Cubeful 2-ply    4/off 3/off                  Eq.: +1.749
       0.975 0.715 0.036 - 0.025 0.000 0.000
     2. Cubeful 2-ply    4/1* 4/off                   Eq.: +1.580 (-0.169)
       0.948 0.636 0.019 - 0.052 0.000 0.000


Move number 49:  gnubg_checker3ply_cube2ply to play 64

 GNU Backgammon  Position ID: /D0AAPDdAGDAAg
                 Match ID   : AQHzAAAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: gnubg_checker3ply_cu (Cube: 2)
 |                  |   |          O  O  O |     0 points
 |                  |   |          O  O  O |     Rolled 64
 |                  |   |             O  O |     
 |                  |   |                O |     
 |                  |   |                O |    
^|                  |BAR|                  |     7 points match
 |                  |   |          7       |    
 |                  |   |       X  X       | X   
 |                  |   |       X  X       | X   
 |          O       |   |       X  X  O    | X   
 |          O       |   |       X  X  O  O | X   0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: sage_checker4ply_cube3ply
Pip counts: O 119, X 37

* gnubg_checker3ply_cube2ply moves 16/12 16/10

Cube analysis
4-ply cubeless equity -1.786 (Money: -1.725)
  0.028 0.000 0.000 - 0.972 0.735 0.045
Cubeful equities:
1. No double           -1.773
2. Double, pass        +1.000  (+2.773)
3. Double, take        -3.349  (-1.576)
Proper cube action: No redouble, take (36.2%)

Rolled 64 (+0.008):
*    1. Cubeful 4-ply    16/12 16/10                  Eq.: -1.711
       0.036 0.000 0.000 - 0.964 0.695 0.046
     2. Cubeful 4-ply    16/6                         Eq.: -1.729 (-0.018)
       0.034 0.000 0.000 - 0.966 0.705 0.048
     3. Cubeful 4-ply    23/17 16/12                  Eq.: -1.730 (-0.019)
       0.034 0.000 0.000 - 0.966 0.715 0.039
     4. Cubeful 4-ply    23/13                        Eq.: -1.735 (-0.024)
       0.034 0.000 0.000 - 0.966 0.720 0.038
     5. Cubeful 2-ply    23/19 16/10                  Eq.: -1.747 (-0.035)
       0.029 0.000 0.000 - 0.971 0.725 0.034


Move number 50:  sage_checker4ply_cube3ply to play 62

 GNU Backgammon  Position ID: 3w1IACz8PQAAAA
                 Match ID   : QQnrAAAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: gnubg_checker3ply_cu (Cube: 2)
 | O     O          |   |          O  O  O |     0 points
 |                  |   |          O  O  O |     
 |                  |   |             O  O |     
 |                  |   |                O |     
 |                  |   |                O |    
v|                  |BAR|                  |     7 points match
 |                  |   |          7       |    
 |                  |   |       X  X       | X   
 |                  |   |       X  X       | X   
 |                  |   |       X  X  O    | X   Rolled 62
 |                  |   |       X  X  O  O | X   0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: sage_checker4ply_cube3ply
Pip counts: O 109, X 37

* sage_checker4ply_cube3ply moves 4/off 3/1*

Rolled 62 (-0.096):
*    1. Cubeful 0-ply    4/off 3/1*                   Eq.: +1.659
       0.967 0.665 0.025 - 0.033 0.000 0.000


Move number 51:  gnubg_checker3ply_cube2ply to play 53

 GNU Backgammon  Position ID: +R0AAPhuQAJgAg
                 Match ID   : AYHuAAAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: gnubg_checker3ply_cu (Cube: 2)
 | O     O          | O |          O  O  O |     0 points
 |                  |   |          O  O  O |     Rolled 53
 |                  |   |             O  O |     
 |                  |   |                O |     
 |                  |   |                O |    
^|                  |BAR|                  |     7 points match
 |                  |   |          6       | X  
 |                  |   |          X       | X   
 |                  |   |       X  X       | X   
 |                  |   |       X  X  O    | X   
 |                  |   |       X  X  O  X | X   0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: sage_checker4ply_cube3ply
Pip counts: O 110, X 31

* gnubg_checker3ply_cube2ply moves bar/17

Cube analysis
4-ply cubeless equity -1.648 (Money: -1.595)
  0.047 0.000 0.000 - 0.953 0.656 0.033
Cubeful equities:
1. No double           -1.629
2. Double, pass        +1.000  (+2.629)
3. Double, take        -3.171  (-1.543)
Proper cube action: No redouble, take (37.0%)

Rolled 53 (-0.226):
*    1. Cubeful 4-ply    bar/17                       Eq.: -1.856
       0.017 0.000 0.000 - 0.983 0.795 0.038
     2. Cubeful 4-ply    bar/20 12/9                  Eq.: -1.870 (-0.013)
       0.016 0.000 0.000 - 0.984 0.801 0.042
     3. Cubeful 4-ply    bar/20 10/7                  Eq.: -1.878 (-0.022)
       0.015 0.000 0.000 - 0.985 0.806 0.043
     4. Cubeful 4-ply    bar/20 23/20                 Eq.: -1.895 (-0.038)
       0.014 0.000 0.000 - 0.986 0.824 0.038


Move number 52:  sage_checker4ply_cube3ply to play 64

 GNU Backgammon  Position ID: 3w1IEBj5HQAAAA
                 Match ID   : QQnzAAAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: gnubg_checker3ply_cu (Cube: 2)
 | O     O          |   |          O  O  O |     0 points
 |                  |   |          O  O  O |     
 |                  |   |             O  O |     
 |                  |   |                O |     
 |                  |   |                O |    
v|                  |BAR|                  |     7 points match
 |                  |   |          6       | X  
 |                  |   |          X       | X   
 |                  |   |       X  X       | X   
 |                  |   |       X  X  O    | X   Rolled 64
 |             O    |   |       X  X  O  X | X   0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: sage_checker4ply_cube3ply
Pip counts: O 102, X 31

* sage_checker4ply_cube3ply moves 4/off(2)

Rolled 64 (-0.100):
*    1. Cubeful 0-ply    4/off(2)                     Eq.: +1.785
       0.972 0.761 0.034 - 0.028 0.000 0.000


Move number 53:  gnubg_checker3ply_cube2ply to play 54

 GNU Backgammon  Position ID: +QUAAL4bkCAwAA
                 Match ID   : AYHyAAAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: gnubg_checker3ply_cu (Cube: 2)
 | O     O          |   |          O  O  O |     0 points
 |                  |   |          O  O  O |     Rolled 54
 |                  |   |             O  O |     
 |                  |   |                O |     
 |                  |   |                O |    
^|                  |BAR|                  |     7 points match
 |                  |   |          6       | X  
 |                  |   |          X       | X   
 |                  |   |          X       | X   
 |                  |   |          X  O    | XX  
 |             O    |   |       X  X  O  X | XX  0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: sage_checker4ply_cube3ply
Pip counts: O 102, X 23

* gnubg_checker3ply_cube2ply moves 17/12 10/6

Cube analysis
4-ply cubeless equity -1.736 (Money: -1.679)
  0.034 0.000 0.000 - 0.966 0.713 0.034
Cubeful equities:
1. No double           -1.722
2. Double, pass        +1.000  (+2.722)
3. Double, take        -3.317  (-1.595)
Proper cube action: No redouble, take (36.9%)

Rolled 54 (-0.273):
*    1. Cubeful 4-ply    17/12 10/6                   Eq.: -1.977
       0.006 0.000 0.000 - 0.994 0.863 0.057
     2. Cubeful 4-ply    23/18 10/6                   Eq.: -1.981 (-0.004)
       0.005 0.000 0.000 - 0.995 0.879 0.044
     3. Cubeful 4-ply    12/7 10/6                    Eq.: -1.985 (-0.008)
       0.006 0.000 0.000 - 0.994 0.874 0.053
     4. Cubeful 4-ply    23/14                        Eq.: -1.987 (-0.010)
       0.005 0.000 0.000 - 0.995 0.890 0.037
     5. Cubeful 2-ply    17/8                         Eq.: -1.978 (-0.001)
       0.006 0.000 0.000 - 0.994 0.865 0.056


Move number 54:  sage_checker4ply_cube3ply to play 52

 GNU Backgammon  Position ID: 343AABj5BQAAAA
                 Match ID   : QYnqAAAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: gnubg_checker3ply_cu (Cube: 2)
 | O                |   | O        O  O  O |     0 points
 | O                |   |          O  O  O |     
 |                  |   |             O  O |     
 |                  |   |                O |     
 |                  |   |                O |    
v|                  |BAR|                  |     7 points match
 |                  |   |          6       | X  
 |                  |   |          X       | X   
 |                  |   |          X       | X   
 |                  |   |          X  O    | XX  Rolled 52
 |                  |   |       X  X  O  X | XX  0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: sage_checker4ply_cube3ply
Pip counts: O 93, X 23

* sage_checker4ply_cube3ply moves 4/off 3/1

Rolled 52 (+0.000):
*    1. Cubeful 0-ply    4/off 3/1                    Eq.: +1.960
       0.996 0.872 0.029 - 0.004 0.000 0.000


Move number 55:  gnubg_checker3ply_cube2ply to play 55

 GNU Backgammon  Position ID: 8wEAAN+NwAAYAA
                 Match ID   : AYH2AAAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: gnubg_checker3ply_cu (Cube: 2)
 | O                |   | O        O  O  O |     0 points
 | O                |   |          O  O  O |     Rolled 55
 |                  |   |             O  O |     
 |                  |   |                O |     
 |                  |   |                O |    
^|                  |BAR|                  |     7 points match
 |                  |   |          X       | X  
 |                  |   |          X       | X   
 |                  |   |          X       | XX  
 |                  |   |          X  O  X | XX  
 |                  |   |          X  O  X | XX  0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: sage_checker4ply_cube3ply
Pip counts: O 93, X 17

* gnubg_checker3ply_cube2ply moves 23/8 12/7

Cube analysis
4-ply cubeless equity -1.945 (Money: -1.877)
  0.005 0.000 0.000 - 0.995 0.849 0.037
Cubeful equities:
1. No double           -1.943
2. Double, pass        +1.000  (+2.943)
3. Double, take        -3.652  (-1.709)
Proper cube action: No redouble, take (36.7%)

Rolled 55 (+0.120):
*    1. Cubeful 4-ply    23/8 12/7                    Eq.: -1.832
       0.004 0.000 0.000 - 0.996 0.756 0.026
     2. Cubeful 4-ply    23/3                         Eq.: -1.855 (-0.022)
       0.003 0.000 0.000 - 0.997 0.774 0.027
     3. Cubeful 4-ply    23/13 12/2                   Eq.: -1.871 (-0.039)
       0.003 0.000 0.000 - 0.997 0.787 0.028
     4. Cubeful 4-ply    23/13 12/7(2)                Eq.: -1.875 (-0.043)
       0.003 0.000 0.000 - 0.997 0.795 0.026
     5. Cubeful 2-ply    23/8 23/18                   Eq.: -1.874 (-0.042)
       0.000 0.000 0.000 - 1.000 0.814 0.000


Move number 56:  sage_checker4ply_cube3ply to play 21

 GNU Backgammon  Position ID: 340KARDzAQAAAA
                 Match ID   : QQnlAAAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: gnubg_checker3ply_cu (Cube: 2)
 | O           O  O |   | O        O  O  O |     0 points
 |                  |   |          O  O  O |     
 |                  |   |             O  O |     
 |                  |   |                O |     
 |                  |   |                O |    
v|                  |BAR|                  |     7 points match
 |                  |   |          X       | X  
 |                  |   |          X       | X   
 |                  |   |          X       | XX  
 |                  |   |          X     X | XX  Rolled 21
 |                  |   |          X  O  X | XX  0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: sage_checker4ply_cube3ply
Pip counts: O 73, X 17

* sage_checker4ply_cube3ply moves 3/2*/off

Rolled 21 (+0.058):
*    1. Cubeful 4-ply    3/2*/off                     Eq.: +1.848
       0.999 0.776 0.014 - 0.001 0.000 0.000
     2. Cubeful 4-ply    3/off                        Eq.: +1.763 (-0.085)
       1.000 0.710 0.001 - 0.000 0.000 0.000
     3. Cubeful 0-ply    3/2* 3/1                     Eq.: +1.516 (-0.332)
       0.975 0.530 0.008 - 0.025 0.000 0.000


Move number 57:  gnubg_checker3ply_cube2ply to play 42

 GNU Backgammon  Position ID: 8wAAgO9GhQAgAA
                 Match ID   : AQHqAAAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: gnubg_checker3ply_cu (Cube: 2)
 | O           O  O | O | O        O  O  O |     0 points
 |                  |   |          O  O  O |     Rolled 42
 |                  |   |             O  O |     
 |                  |   |                O |     
 |                  |   |                O |    
^|                  |BAR|                  |     7 points match
 |                  |   |                  | X  
 |                  |   |          X       | XX  
 |                  |   |          X       | XX  
 |                  |   |          X     X | XX  
 |                  |   |          X     X | XX  0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: sage_checker4ply_cube3ply
Pip counts: O 75, X 14

* gnubg_checker3ply_cube2ply moves bar/21 8/6

Cube analysis
4-ply cubeless equity -1.848 (Money: -1.789)
  0.001 0.000 0.000 - 0.999 0.776 0.014
Cubeful equities:
1. No double           -1.848
2. Double, pass        +1.000  (+2.848)
3. Double, take        -3.532  (-1.684)
Proper cube action: No redouble, take (37.2%)

Rolled 42 (-0.049):
*    1. Cubeful 4-ply    bar/21 8/6                   Eq.: -1.909
       0.000 0.000 0.000 - 1.000 0.846 0.000
     2. Cubeful 4-ply    bar/21 7/5                   Eq.: -1.917 (-0.008)
       0.000 0.000 0.000 - 1.000 0.854 0.000
     3. Cubeful 4-ply    bar/21 12/10                 Eq.: -1.954 (-0.046)
       0.000 0.000 0.000 - 1.000 0.889 0.000
     4. Cubeful 4-ply    bar/19                       Eq.: -1.957 (-0.049)
       0.000 0.000 0.000 - 1.000 0.891 0.000
     5. Cubeful 2-ply    bar/23 8/4                   Eq.: -1.971 (-0.063)
       0.002 0.000 0.000 - 0.998 0.858 0.047


Move number 58:  sage_checker4ply_cube3ply to play 62

 GNU Backgammon  Position ID: 340FAQTzAAAAAA
                 Match ID   : QQnrAAAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: gnubg_checker3ply_cu (Cube: 2)
 | O              O |   | O        O  O  O |     0 points
 |                  |   | O        O  O  O |     
 |                  |   |             O  O |     
 |                  |   |                O |     
 |                  |   |                O |    
v|                  |BAR|                  |     7 points match
 |                  |   |                  | X  
 |                  |   |          X       | XX  
 |                  |   |          X       | XX  
 |                  |   |          X     X | XX  Rolled 62
 |                  |   |       O  X     X | XX  0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: sage_checker4ply_cube3ply
Pip counts: O 69, X 14

* sage_checker4ply_cube3ply moves 3/1 3/off

Rolled 62 (-0.106):
*    1. Cubeful 0-ply    3/1 3/off                    Eq.: +1.800
       1.000 0.745 0.000 - 0.000 0.000 0.000


Move number 59:  gnubg_checker3ply_cube2ply to play 21

 GNU Backgammon  Position ID: ZwAAwHdjQQABAA
                 Match ID   : AQHlAAAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: gnubg_checker3ply_cu (Cube: 2)
 | O              O |   | O        O  O  O |     0 points
 |                  |   | O        O  O  O |     Rolled 21
 |                  |   |             O  O |     
 |                  |   |                O |     
 |                  |   |                O |    
^|                  |BAR|                  |     7 points match
 |                  |   |                  | XX 
 |                  |   |                  | XX  
 |                  |   |                X | XX  
 |                  |   |          X     X | XX  
 |                  |   |       O  X     X | XX  0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: sage_checker4ply_cube3ply
Pip counts: O 69, X 9

* gnubg_checker3ply_cube2ply moves 12/10 7/6

Cube analysis
4-ply cubeless equity -1.804 (Money: -1.749)
  0.000 0.000 0.000 - 1.000 0.749 0.000
Cubeful equities:
1. No double           -1.804
2. Double, pass        +1.000  (+2.804)
3. Double, take        -3.484  (-1.680)
Proper cube action: No redouble, take (37.5%)

Rolled 21 (-0.160):
*    1. Cubeful 4-ply    12/10 7/6                    Eq.: -1.968
       0.000 0.000 0.000 - 1.000 0.901 0.000
     2. Cubeful 4-ply    21/19 7/6                    Eq.: -1.981 (-0.013)
       0.000 0.000 0.000 - 1.000 0.913 0.000
     3. Cubeful 4-ply    12/11 7/5                    Eq.: -1.981 (-0.013)
       0.000 0.000 0.000 - 1.000 0.913 0.000
     4. Cubeful 4-ply    21/20 7/5                    Eq.: -1.981 (-0.014)
       0.000 0.000 0.000 - 1.000 0.914 0.000
     5. Cubeful 2-ply    21/20 12/10                  Eq.: -1.988 (-0.020)
       0.000 0.000 0.000 - 1.000 0.920 0.000


Move number 60:  sage_checker4ply_cube3ply to play 42

 GNU Backgammon  Position ID: 341DAARnAAAAAA
                 Match ID   : QQnqAAAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: gnubg_checker3ply_cu (Cube: 2)
 |       O          |   | O        O  O  O |     0 points
 |                  |   | O        O  O  O |     
 |                  |   | O           O  O |     
 |                  |   |                O |     
 |                  |   |                O |    
v|                  |BAR|                  |     7 points match
 |                  |   |                  | XX 
 |                  |   |                  | XX  
 |                  |   |                X | XX  
 |                  |   |          X     X | XX  Rolled 42
 |                  |   |       O  X     X | XX  0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: sage_checker4ply_cube3ply
Pip counts: O 66, X 9

* sage_checker4ply_cube3ply moves 3/1 3/off

Rolled 42 (-0.013):
*    1. Cubeful 0-ply    3/1 3/off                    Eq.: +1.958
       1.000 0.892 0.000 - 0.000 0.000 0.000


Move number 61:  gnubg_checker3ply_cube2ply to play 41

 GNU Backgammon  Position ID: DwAA4LtxCIAAAA
                 Match ID   : AQHmAAAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: gnubg_checker3ply_cu (Cube: 2)
 |       O          |   | O        O  O  O |     0 points
 |                  |   | O        O  O  O |     Rolled 41
 |                  |   | O           O  O |     
 |                  |   |                O |     
 |                  |   |                O |    
^|                  |BAR|                  |     7 points match
 |                  |   |                  | XX 
 |                  |   |                X | XX  
 |                  |   |                X | XX  
 |                  |   |                X | XX  
 |                  |   |       O        X | XXX 0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: sage_checker4ply_cube3ply
Pip counts: O 66, X 4

* gnubg_checker3ply_cube2ply moves 21/16

Cube analysis
4-ply cubeless equity -1.955 (Money: -1.889)
  0.000 0.000 0.000 - 1.000 0.889 0.000
Cubeful equities:
1. No double           -1.955
2. Double, pass        +1.000  (+2.955)
3. Double, take        -3.748  (-1.793)
Proper cube action: No redouble, take (37.8%)

Rolled 41 (-0.084):
*    1. Cubeful 4-ply    21/16                        Eq.: -2.024
       0.000 0.000 0.000 - 1.000 0.954 0.000
     2. Cubeful 4-ply    21/17 6/5                    Eq.: -2.049 (-0.025)
       0.000 0.000 0.000 - 1.000 0.977 0.000
     3. Cubeful 4-ply    21/17 3/2                    Eq.: -2.049 (-0.025)
       0.000 0.000 0.000 - 1.000 0.977 0.000
     4. Cubeful 4-ply    21/17 2/1                    Eq.: -2.049 (-0.025)
       0.000 0.000 0.000 - 1.000 0.977 0.000
     5. Cubeful 2-ply    21/17 10/9                   Eq.: -2.049 (-0.025)
       0.000 0.000 0.000 - 1.000 0.977 0.000


Move number 62:  sage_checker4ply_cube3ply to play 22

 GNU Backgammon  Position ID: 341DIAAPAAAAAA
                 Match ID   : QQnpAAAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: gnubg_checker3ply_cu (Cube: 2)
 |       O          |   | O        O  O  O |     0 points
 |                  |   | O        O  O  O |     
 |                  |   | O           O  O |     
 |                  |   |                O |     
 |                  |   |                O |    
v|                  |BAR|                  |     7 points match
 |                  |   |                  | XX 
 |                  |   |                X | XX  
 |                  |   |                X | XX  
 |                  |   |                X | XX  Rolled 22
 |          O       |   |                X | XXX 0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: sage_checker4ply_cube3ply
Pip counts: O 61, X 4

* sage_checker4ply_cube3ply moves 1/off(4)

Rolled 22 (+0.029):
*    1. Cubeful 0-ply    1/off(4)                     Eq.: +2.074
       1.000 1.000 0.000 - 0.000 0.000 0.000


sage_checker4ply_cube3ply wins 4 points

Game statistics for game 1

Player                                   gnubg_checker3ply_cube2ply sage_checker4ply_cube3ply

Chequerplay statistics

Total moves                               30                      30                    
Unforced moves                            24                      19                    
Unmarked moves                            30                      30                    
Moves marked doubtful                      0                       0                    
Moves marked bad                           0                       0                    
Moves marked very bad                      0                       0                    
Error total EMG (MWC)                         -0.008 ( -0.075%)       -0.005 ( -0.061%) 
Error rate mEMG (MWC)                         -0.3   ( -0.003%)       -0.3   ( -0.003%) 
Chequerplay rating                       Supernatural            Supernatural           


Luck statistics

Rolls marked very lucky                    0                       1                    
Rolls marked lucky                         0                       2                    
Rolls unmarked                            28                      27                    
Rolls marked unlucky                       2                       0                    
Rolls marked very unlucky                  0                       0                    
Luck total EMG (MWC)                          -1.709 (-23.116%)       +0.658 ( +1.605%) 
Luck rate mEMG (MWC)                         -57.0   ( -0.771%)      +21.9   ( +0.054%) 
Luck rating                              Bad dice, man!          None                   


Cube statistics

Total cube decisions                      30                       6                    
Close or actual cube decisions             1                       1                    
Doubles                                    0                       1                    
Takes                                      1                       0                    
Passes                                     0                       0                    
Missed doubles below CP (EMG (MWC))        0                       0                    
Missed doubles above CP (EMG (MWC))        0                       0                    
Wrong doubles below DP (EMG (MWC))         0                       0                    
Wrong doubles above TG (EMG (MWC))         0                       0                    
Wrong takes (EMG (MWC))                    0                       0                    
Wrong passes (EMG (MWC))                   0                       0                    
Error total EMG (MWC)                         -0.000 ( -0.000%)       -0.000 ( -0.000%) 
Error rate mEMG (MWC)                         -0.0   ( -0.000%)       -0.0   ( -0.000%) 
Cube decision rating                     Supernatural            Supernatural           


Overall statistics

Error total EMG (MWC)                         -0.008 ( -0.075%)       -0.005 ( -0.061%) 
Error rate mEMG (MWC)                         -0.3   ( -0.003%)       -0.2   ( -0.003%) 
Snowie error rate                             -0.1   ( +0.000%)       -0.1   ( +0.000%) 
Overall rating                           Supernatural            Supernatural           
Actual result                             -26.21%                 +26.21%               
Luck adjusted result                       -1.49%                  +1.49%               
Luck based FIBS rating diff.              -19.54                                        
Error based abs. FIBS rating             2045.7                  2046.8                 
Chequerplay errors rating loss              4.3                     3.2                 
Cube errors rating loss                     0.0                     0.0                 




Output generated 2026-07-17 by GNU Backgammon 1.08.003 20260710

