The score (after 1 game) is: sage_checker4ply_cube3ply 4, gnubg_checker3ply_cube2ply 0 (match to 7 points)

Match Information:
Date: 07/17/26

Move number 1:  gnubg_checker3ply_cube2ply to play 54

 GNU Backgammon  Position ID: 4HPwATDgc/ABMA
                 Match ID   : cIjyAEAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: sage_checker4ply_cube3ply
 | X           O    |   | O              X |     4 points
 | X           O    |   | O              X |     
 | X           O    |   | O                |     
 | X                |   | O                |     
 | X                |   | O                |    
v|                  |BAR|                  |     7 points match (Cube: 1)
 | O                |   | X                |    
 | O                |   | X                |     
 | O           X    |   | X                |     
 | O           X    |   | X              O |     Rolled 54
 | O           X    |   | X              O |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 167, X 167

* gnubg_checker3ply_cube2ply moves 13/9 13/8

Rolled 54 (+0.032):
*    1. Cubeful 4-ply    13/9 13/8                    Eq.: +0.237
       0.501 0.153 0.008 - 0.499 0.137 0.006
     2. Cubeful 4-ply    24/20 13/8                   Eq.: +0.236 (-0.001)
       0.509 0.137 0.006 - 0.491 0.126 0.005
     3. Cubeful 4-ply    24/15                        Eq.: +0.185 (-0.052)
       0.503 0.123 0.004 - 0.497 0.134 0.005
     4. Cubeful 2-ply    13/4                         Eq.: +0.141 (-0.096)
       0.483 0.138 0.007 - 0.517 0.143 0.008
     5. Cubeful 2-ply    13/8 6/2                     Eq.: +0.090 (-0.147)
       0.471 0.132 0.006 - 0.529 0.150 0.008


Move number 2:  sage_checker4ply_cube3ply to play 53

 GNU Backgammon  Position ID: 4PPCATDgc/ABMA
                 Match ID   : MIHuAEAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: sage_checker4ply_cube3ply
 | X           O    |   | O              X |     4 points
 | X           O    |   | O              X |     Rolled 53
 | X           O    |   | O                |     
 |                  |   | O                |     
 |                  |   | O                |    
^|                  |BAR|                  |     7 points match (Cube: 1)
 | O                |   | X                |    
 | O           X    |   | X                |     
 | O           X    |   | X                |     
 | O           X    |   | X              O |     
 | O        X  X    |   | X              O |     0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 167, X 158

* sage_checker4ply_cube3ply moves 24/16*

Cube analysis
4-ply cubeless equity -0.013 (Money: -0.019)
  0.499 0.137 0.006 - 0.501 0.153 0.008
Cubeful equities:
1. No double           -0.237
2. Double, pass        +1.000  (+1.237)
3. Double, take        -1.568  (-1.331)
Proper cube action: No double, take (51.8%)

Rolled 53 (+0.206):
*    1. Cubeful 2-ply    24/16*                       Eq.: -0.033
       0.546 0.146 0.008 - 0.454 0.125 0.005
     2. Cubeful 2-ply    8/3 6/3                      Eq.: -0.324 (-0.291)
       0.477 0.141 0.007 - 0.523 0.165 0.008
     3. Cubeful 0-ply    13/10 13/8                   Eq.: -0.371 (-0.337)
       0.465 0.137 0.009 - 0.535 0.163 0.010
     4. Cubeful 0-ply    24/21 13/8                   Eq.: -0.371 (-0.338)
       0.467 0.121 0.006 - 0.533 0.168 0.006
     5. Cubeful 0-ply    13/5                         Eq.: -0.420 (-0.386)
       0.456 0.127 0.008 - 0.544 0.170 0.013


Move number 3:  gnubg_checker3ply_cube2ply to play 54

 GNU Backgammon  Position ID: 4HPwESDg8+AAWA
                 Match ID   : cInyAEAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: sage_checker4ply_cube3ply
 | X           O    |   | O              X |     4 points
 | X           O    |   | O              X |     
 | X           O    |   | O                |     
 |                  |   | O                |     
 |                  |   | O                |    
v|                  |BAR|                  |     7 points match (Cube: 1)
 | O                |   | X                |    
 | O           X    |   | X                |     
 | O           X    |   | X                |     
 | O           X    |   | X                |     Rolled 54
 | O        O  X    | X | X              O |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 159, X 174

* gnubg_checker3ply_cube2ply moves bar/20 24/20

Cube analysis
4-ply cubeless equity -0.116 (Money: -0.110)
  0.455 0.127 0.005 - 0.545 0.144 0.008
Cubeful equities:
1. No double           +0.043
2. Double, pass        +1.000  (+0.957)
3. Double, take        -0.126  (-0.169)
Proper cube action: No double, take (15.0%)

Rolled 54 (+0.130):
*    1. Cubeful 4-ply    bar/20 24/20                 Eq.: +0.176
       0.485 0.136 0.004 - 0.515 0.096 0.003
     2. Cubeful 4-ply    bar/20 13/9*                 Eq.: +0.157 (-0.019)
       0.481 0.146 0.007 - 0.519 0.141 0.009
     3. Cubeful 2-ply    bar/21 6/1*                  Eq.: -0.044 (-0.220)
       0.434 0.117 0.005 - 0.566 0.153 0.010
     4. Cubeful 2-ply    bar/20 8/4                   Eq.: -0.063 (-0.239)
       0.429 0.118 0.005 - 0.571 0.165 0.012
     5. Cubeful 2-ply    bar/21 13/8                  Eq.: -0.065 (-0.241)
       0.428 0.113 0.004 - 0.572 0.147 0.009


Move number 4:  sage_checker4ply_cube3ply to play 53

 GNU Backgammon  Position ID: 4PPggCHgc/ARIA
                 Match ID   : MIHuAEAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: sage_checker4ply_cube3ply
 | X           O    |   | O  X           X |     4 points
 | X           O    |   | O  X             |     Rolled 53
 | X           O    |   | O                |     
 |                  |   | O                |     
 |                  |   | O                |    
^|                  |BAR|                  |     7 points match (Cube: 1)
 | O                |   | X                |    
 | O           X    |   | 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: gnubg_checker3ply_cube2ply
Pip counts: O 159, X 165

* sage_checker4ply_cube3ply moves 24/16

Cube analysis
4-ply cubeless equity -0.007 (Money: -0.012)
  0.515 0.096 0.003 - 0.485 0.136 0.004
Cubeful equities:
1. No double           -0.176
2. Double, pass        +1.000  (+1.176)
3. Double, take        -1.339  (-1.163)
Proper cube action: No double, take (49.7%)

Rolled 53 (+0.086):
*    1. Cubeful 2-ply    24/16                        Eq.: -0.093
       0.535 0.074 0.001 - 0.465 0.118 0.001
     2. Cubeful 2-ply    16/8                         Eq.: -0.197 (-0.104)
       0.510 0.092 0.002 - 0.490 0.140 0.003
     3. Cubeful 2-ply    8/3 6/3                      Eq.: -0.200 (-0.107)
       0.507 0.102 0.003 - 0.493 0.139 0.004
     4. Cubeful 2-ply    16/13 6/1*                   Eq.: -0.272 (-0.179)
       0.488 0.083 0.001 - 0.512 0.142 0.005
     5. Cubeful 2-ply    24/21 13/8                   Eq.: -0.277 (-0.184)
       0.489 0.096 0.003 - 0.511 0.151 0.005


Move number 5:  gnubg_checker3ply_cube2ply to play 53

 GNU Backgammon  Position ID: 4HPwMQDg8+CAIQ
                 Match ID   : cInuAEAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: sage_checker4ply_cube3ply
 | X           O    |   | O  X           X |     4 points
 | X           O    |   | O  X             |     
 | X           O    |   | O                |     
 |                  |   | O                |     
 |                  |   | O                |    
v|                  |BAR|                  |     7 points match (Cube: 1)
 | O                |   | X                |    
 | O           X    |   | X                |     
 | O           X    |   | X                |     
 | O        O  X    |   | X                |     Rolled 53
 | O        O  X    |   | X                |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 151, X 165

* gnubg_checker3ply_cube2ply moves 8/3 6/3

Cube analysis
4-ply cubeless equity -0.024 (Money: -0.020)
  0.466 0.126 0.002 - 0.534 0.078 0.002
Cubeful equities:
1. No double           +0.111
2. Double, pass        +1.000  (+0.889)
3. Double, take        -0.060  (-0.171)
Proper cube action: No double, take (16.1%)

Rolled 53 (+0.009):
*    1. Cubeful 4-ply    8/3 6/3                      Eq.: +0.134
       0.472 0.130 0.003 - 0.528 0.082 0.003
     2. Cubeful 4-ply    8/5 8/3                      Eq.: +0.112 (-0.021)
       0.466 0.131 0.003 - 0.534 0.085 0.003
     3. Cubeful 4-ply    13/5                         Eq.: +0.094 (-0.039)
       0.463 0.124 0.003 - 0.537 0.084 0.003
     4. Cubeful 2-ply    13/8 6/3                     Eq.: +0.037 (-0.096)
       0.453 0.108 0.002 - 0.547 0.084 0.003
     5. Cubeful 2-ply    8/5 6/1                      Eq.: +0.024 (-0.109)
       0.446 0.114 0.002 - 0.554 0.089 0.003


Move number 6:  sage_checker4ply_cube3ply to play 54

 GNU Backgammon  Position ID: jOfggCHgc/AxAA
                 Match ID   : MIHyAEAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: sage_checker4ply_cube3ply
 | X           O    |   | O  X           X |     4 points
 | X           O    |   | O  X             |     Rolled 54
 | X           O    |   | O                |     
 |                  |   | O                |     
 |                  |   | O                |    
^|                  |BAR|                  |     7 points match (Cube: 1)
 | O                |   |                  |    
 | O                |   | X                |     
 | O           X    |   | X                |     
 | O        O  X    |   | X        X       |     
 | O        O  X    |   | X        X       |     0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 151, X 157

* sage_checker4ply_cube3ply moves 13/9 13/8

Cube analysis
4-ply cubeless equity +0.011 (Money: +0.007)
  0.528 0.082 0.003 - 0.472 0.130 0.003
Cubeful equities:
1. No double           -0.134
2. Double, pass        +1.000  (+1.134)
3. Double, take        -1.219  (-1.086)
Proper cube action: No double, take (48.9%)

Rolled 54 (-0.070):
*    1. Cubeful 4-ply    13/9 13/8                    Eq.: -0.212
       0.511 0.092 0.003 - 0.489 0.145 0.003
     2. Cubeful 4-ply    13/4                         Eq.: -0.234 (-0.022)
       0.503 0.081 0.002 - 0.497 0.140 0.003
     3. Cubeful 4-ply    13/8 6/2                     Eq.: -0.235 (-0.022)
       0.504 0.080 0.002 - 0.496 0.145 0.003
     4. Cubeful 2-ply    13/9 6/1*                    Eq.: -0.309 (-0.097)
       0.488 0.077 0.002 - 0.512 0.154 0.004
     5. Cubeful 2-ply    6/2 6/1*                     Eq.: -0.399 (-0.186)
       0.469 0.071 0.002 - 0.531 0.170 0.005


Move number 7:  gnubg_checker3ply_cube2ply to play 42

 GNU Backgammon  Position ID: 4PPCMQCM5+CAIQ
                 Match ID   : cAnqAEAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: sage_checker4ply_cube3ply
 | X        O  O    |   | O  X           X |     4 points
 | X           O    |   | O  X             |     
 | X           O    |   | O                |     
 |             O    |   | O                |     
 |                  |   | O                |    
v|                  |BAR|                  |     7 points match (Cube: 1)
 |                  |   |                  |    
 |                  |   | X                |     
 | O           X    |   | X                |     
 | O        O  X    |   | X        X       |     Rolled 42
 | O        O  X    |   | X        X       |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 142, X 157

* gnubg_checker3ply_cube2ply moves 24/22 20/16*

Cube analysis
4-ply cubeless equity +0.026 (Money: +0.031)
  0.489 0.145 0.003 - 0.511 0.092 0.003
Cubeful equities:
1. No double           +0.212
2. Double, pass        +1.000  (+0.788)
3. Double, take        +0.078  (-0.134)
Proper cube action: No double, take (14.6%)

Rolled 42 (+0.092):
*    1. Cubeful 4-ply    24/22 20/16*                 Eq.: +0.344
       0.530 0.154 0.005 - 0.470 0.102 0.003
     2. Cubeful 4-ply    20/16* 13/11                 Eq.: +0.314 (-0.030)
       0.512 0.177 0.007 - 0.488 0.130 0.007
     3. Cubeful 4-ply    20/16*/14                    Eq.: +0.305 (-0.039)
       0.516 0.161 0.005 - 0.484 0.113 0.004
     4. Cubeful 4-ply    20/16* 8/6                   Eq.: +0.301 (-0.043)
       0.514 0.165 0.005 - 0.486 0.118 0.005
     5. Cubeful 2-ply    20/18 20/16*                 Eq.: +0.269 (-0.075)
       0.514 0.155 0.005 - 0.486 0.123 0.005


Move number 8:  sage_checker4ply_cube3ply to play 62

 GNU Backgammon  Position ID: jOfgCAng8+AYQA
                 Match ID   : MAHrAEAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: sage_checker4ply_cube3ply
 | X        X  O    | O | O  X     X       |     4 points
 | X           O    |   | O                |     Rolled 62
 | X           O    |   | O                |     
 |             O    |   | O                |     
 |                  |   | O                |    
^|                  |BAR|                  |     7 points match (Cube: 1)
 |                  |   |                  |    
 |                  |   | X                |     
 | O           X    |   | X                |     
 | O        O  X    |   | X        X       |     
 | O        O  X    |   | X        X       |     0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 158, X 151

* sage_checker4ply_cube3ply moves bar/23 8/2

Cube analysis
4-ply cubeless equity -0.107 (Money: -0.112)
  0.470 0.102 0.003 - 0.530 0.154 0.005
Cubeful equities:
1. No double           -0.344
2. Double, pass        +1.000  (+1.344)
3. Double, take        -1.750  (-1.406)
Proper cube action: No double, take (51.1%)

Rolled 62 (-0.132):
*    1. Cubeful 2-ply    bar/23 8/2                   Eq.: -0.406
       0.454 0.099 0.003 - 0.546 0.165 0.005
     2. Cubeful 2-ply    bar/23 13/7                  Eq.: -0.500 (-0.094)
       0.436 0.107 0.004 - 0.564 0.180 0.007
     3. Cubeful 0-ply    bar/23 16/10                 Eq.: -0.844 (-0.438)
       0.387 0.088 0.003 - 0.613 0.238 0.013


Move number 9:  gnubg_checker3ply_cube2ply to play 31

 GNU Backgammon  Position ID: wufgGBCM5+AICQ
                 Match ID   : cInlAEAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: sage_checker4ply_cube3ply
 | X        X  O    |   | O  X     X  O    |     4 points
 | X           O    |   | O                |     
 | X           O    |   | O                |     
 |                  |   | O                |     
 |                  |   | O                |    
v|                  |BAR|                  |     7 points match (Cube: 1)
 |                  |   |                  |    
 |                  |   | X                |     
 | O           X    |   | X                |     
 | O        O  X    |   | X        X       |     Rolled 31
 | O        O  X    |   | X        X  O    |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 150, X 151

* gnubg_checker3ply_cube2ply moves 8/5 6/5

Cube analysis
4-ply cubeless equity +0.153 (Money: +0.158)
  0.545 0.164 0.005 - 0.455 0.098 0.003
Cubeful equities:
1. No double           +0.415
2. Double, pass        +1.000  (+0.585)
3. Double, take        +0.363  (-0.051)
Proper cube action: No double, take (8.0%)

Rolled 31 (+0.032):
*    1. Cubeful 2-ply    8/5 6/5                      Eq.: +0.495
       0.555 0.192 0.007 - 0.445 0.116 0.004
     2. Cubeful 2-ply    6/2*                         Eq.: +0.203 (-0.292)
       0.496 0.149 0.005 - 0.504 0.133 0.006
     3. Cubeful 2-ply    22/21 16/13                  Eq.: +0.171 (-0.324)
       0.495 0.130 0.003 - 0.505 0.120 0.003
     4. Cubeful 2-ply    16/13 6/5                    Eq.: +0.156 (-0.339)
       0.486 0.144 0.005 - 0.514 0.142 0.006
     5. Cubeful 2-ply    16/13 8/7                    Eq.: +0.120 (-0.374)
       0.476 0.140 0.004 - 0.524 0.143 0.006


Move number 10:  sage_checker4ply_cube3ply to play 64

 GNU Backgammon  Position ID: zM7gCAnC5+AYEA
                 Match ID   : MAHzAEAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: sage_checker4ply_cube3ply
 | X        X  O    |   | O  X     X  O    |     4 points
 | X           O    |   | O                |     Rolled 64
 | X           O    |   | O                |     
 |                  |   | O                |     
 |                  |   | O                |    
^|                  |BAR|                  |     7 points match (Cube: 1)
 |                  |   |                  |    
 |                  |   |                  |     
 | O                |   | X                |     
 | O        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: gnubg_checker3ply_cube2ply
Pip counts: O 150, X 147

* sage_checker4ply_cube3ply moves 13/9* 8/2

Cube analysis
4-ply cubeless equity -0.188 (Money: -0.194)
  0.443 0.118 0.004 - 0.557 0.197 0.007
Cubeful equities:
1. No double           -0.517
2. Double, pass        +1.000  (+1.517)
3. Double, take        -1.795  (-1.279)
Proper cube action: No double, take (45.7%)

Rolled 64 (-0.050):
*    1. Cubeful 2-ply    13/9* 8/2                    Eq.: -0.653
       0.420 0.117 0.005 - 0.580 0.225 0.010
     2. Cubeful 2-ply    8/2 6/2                      Eq.: -0.777 (-0.124)
       0.391 0.088 0.002 - 0.609 0.222 0.007
     3. Cubeful 2-ply    13/9*/3*                     Eq.: -0.792 (-0.138)
       0.404 0.102 0.005 - 0.596 0.246 0.014
     4. Cubeful 0-ply    13/7 6/2                     Eq.: -0.909 (-0.255)
       0.382 0.099 0.003 - 0.618 0.263 0.012
     5. Cubeful 0-ply    13/3*                        Eq.: -1.000 (-0.347)
       0.361 0.088 0.004 - 0.639 0.283 0.016


Move number 11:  gnubg_checker3ply_cube2ply on roll, cube decision?

 GNU Backgammon  Position ID: hs/CGBDMzuCARA
                 Match ID   : cAngAEAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: sage_checker4ply_cube3ply
 | X        O  O    |   | O  X     X  O    |     4 points
 | X           O    |   | O           O    |     
 | X                |   | O                |     
 |                  |   | O                |     
 |                  |   | O                |    
v|                  |BAR|                  |     7 points match (Cube: 1)
 |                  |   |                  |    
 |                  |   |                  |     
 |                  |   | X                |     
 | O        O  X    |   | X  X     X       |     On roll
 | O        O  X    | X | X  X     X  O    |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 140, X 156

* gnubg_checker3ply_cube2ply doubles


Cube analysis
4-ply cubeless equity +0.276 (Money: +0.283)
  0.584 0.227 0.010 - 0.416 0.117 0.005
Cubeful equities:
1. Double, take        +0.678
2. Double, pass        +1.000  (+0.322)
3. No double           +0.633  (-0.045)
Proper cube action: Double, take
Move number 12:  gnubg_checker3ply_cube2ply doubles to 2

 GNU Backgammon  Position ID: hs/CGBDMzuCARA
                 Match ID   : cBHgAEAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: sage_checker4ply_cube3ply
 | X        O  O    |   | O  X     X  O    |     4 points
 | X           O    |   | O           O    |     Cube offered at 2
 | X                |   | O                |     
 |                  |   | O                |     
 |                  |   | O                |    
v|                  |BAR|                  |     
 |                  |   |                  |    
 |                  |   |                  |     
 |                  |   | X                |     
 | O        O  X    |   | X  X     X       |     
 | O        O  X    | X | X  X     X  O    |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 140, X 156

* sage_checker4ply_cube3ply accepts


Cube analysis
4-ply cubeless equity -0.276 (Money: -0.283)
  0.416 0.117 0.005 - 0.584 0.227 0.010
Cubeful equities:
1. Double, take        -0.678
2. Double, pass        -1.000  (-0.322)
3. No double           -0.633  (+0.045)
Proper cube action: Double, take
Move number 13:  gnubg_checker3ply_cube2ply to play 21

 GNU Backgammon  Position ID: hs/CGBDMzuCARA
                 Match ID   : QQnlAEAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: sage_checker4ply_cub (Cube: 2)
 | X        O  O    |   | O  X     X  O    |     4 points
 | X           O    |   | O           O    |     
 | X                |   | O                |     
 |                  |   | O                |     
 |                  |   | O                |    
v|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   |                  |     
 |                  |   | X                |     
 | O        O  X    |   | X  X     X       |     Rolled 21
 | O        O  X    | X | X  X     X  O    |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 140, X 156

* gnubg_checker3ply_cube2ply moves bar/24 22/20

Rolled 21 (-0.065):
*    1. Cubeful 4-ply    bar/24 22/20                 Eq.: +0.304
       0.571 0.214 0.007 - 0.429 0.102 0.003
     2. Cubeful 4-ply    bar/22                       Eq.: +0.263 (-0.042)
       0.556 0.206 0.009 - 0.444 0.122 0.005
     3. Cubeful 2-ply    bar/24 20/18                 Eq.: +0.096 (-0.209)
       0.502 0.179 0.009 - 0.498 0.199 0.010
     4. Cubeful 2-ply    bar/24 13/11                 Eq.: +0.060 (-0.244)
       0.488 0.179 0.009 - 0.512 0.222 0.017
     5. Cubeful 2-ply    bar/24 6/4                   Eq.: -0.004 (-0.309)
       0.471 0.160 0.008 - 0.529 0.239 0.019


Move number 14:  sage_checker4ply_cube3ply to play 53

 GNU Backgammon  Position ID: zM7ggCGGz8IYEA
                 Match ID   : AYHuAEAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: sage_checker4ply_cub (Cube: 2)
 | X        O  O    |   | O  X        O  X |     4 points
 | X           O    |   | O  X        O    |     Rolled 53
 | X                |   | O                |     
 |                  |   | O                |     
 |                  |   | O                |    
^|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   |                  |     
 |                  |   | X                |     
 | O        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: gnubg_checker3ply_cube2ply
Pip counts: O 140, X 153

* sage_checker4ply_cube3ply moves 23/18 9/6

Cube analysis
4-ply cubeless equity -0.327 (Money: -0.258)
  0.429 0.102 0.003 - 0.571 0.214 0.007
Cubeful equities:
1. No double           -0.304
2. Double, pass        +1.000  (+1.304)
3. Double, take        -2.204  (-1.900)
Proper cube action: No redouble, take (59.3%)

Rolled 53 (-0.025):
*    1. Cubeful 2-ply    23/18 9/6                    Eq.: -0.319
       0.424 0.089 0.003 - 0.576 0.218 0.006
     2. Cubeful 2-ply    9/1*                         Eq.: -0.400 (-0.081)
       0.402 0.094 0.003 - 0.598 0.241 0.009
     3. Cubeful 2-ply    23/15                        Eq.: -0.412 (-0.093)
       0.404 0.089 0.003 - 0.596 0.255 0.010
     4. Cubeful 2-ply    8/3 6/3                      Eq.: -0.494 (-0.175)
       0.382 0.117 0.006 - 0.618 0.281 0.016
     5. Cubeful 2-ply    13/8 9/6                     Eq.: -0.521 (-0.202)
       0.357 0.090 0.003 - 0.643 0.260 0.010


Move number 15:  gnubg_checker3ply_cube2ply to play 54

 GNU Backgammon  Position ID: hp/BmADMzuCAIQ
                 Match ID   : QYnyAEAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: sage_checker4ply_cub (Cube: 2)
 | X           O    |   | O  X        O  X |     4 points
 | X           O    |   | O  X        O    |     
 | X                |   | O                |     
 |                  |   | O                |     
 |                  |   | 6                |    
v|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   |                  |     
 |                  |   | X                |     
 | O        O  X    |   | X  X     X       |     Rolled 54
 | O        O  X  O |   | X  X     X       |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 132, X 153

* gnubg_checker3ply_cube2ply moves 13/4

Rolled 54 (-0.095):
*    1. Cubeful 2-ply    13/4                         Eq.: +0.252
       0.552 0.206 0.004 - 0.448 0.086 0.003
     2. Cubeful 2-ply    13/8 6/2                     Eq.: +0.144 (-0.108)
       0.518 0.177 0.004 - 0.482 0.094 0.003
     3. Cubeful 2-ply    8/4 8/3                      Eq.: +0.117 (-0.135)
       0.508 0.173 0.003 - 0.492 0.100 0.004
     4. Cubeful 2-ply    20/16 13/8                   Eq.: +0.048 (-0.204)
       0.488 0.161 0.004 - 0.512 0.164 0.007
     5. Cubeful 2-ply    20/11                        Eq.: +0.045 (-0.207)
       0.486 0.164 0.005 - 0.514 0.162 0.007


Move number 16:  sage_checker4ply_cube3ply to play 41

 GNU Backgammon  Position ID: rJ3BgCGGn8GYAA
                 Match ID   : AQHmAEAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: sage_checker4ply_cub (Cube: 2)
 | X           O    |   | O  X        O  X |     4 points
 | X           O    |   | O  X        O    |     Rolled 41
 |                  |   | O                |     
 |                  |   | O                |     
 |                  |   | 6                |    
^|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   |                  |     
 |                  |   | X                |     
 | O        O  X    |   | X  X     X       |     
 | O        O  X  O |   | X  X  X  X       |     0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 132, X 144

* sage_checker4ply_cube3ply moves 18/13

Cube analysis
4-ply cubeless equity -0.288 (Money: -0.225)
  0.447 0.091 0.003 - 0.553 0.209 0.005
Cubeful equities:
1. No double           -0.259
2. Double, pass        +1.000  (+1.259)
3. Double, take        -2.213  (-1.954)
Proper cube action: No redouble, take (60.8%)

Rolled 41 (+0.102):
*    1. Cubeful 2-ply    18/13                        Eq.: -0.126
       0.487 0.077 0.002 - 0.513 0.170 0.001
     2. Cubeful 2-ply    6/1*                         Eq.: -0.413 (-0.288)
       0.406 0.085 0.003 - 0.594 0.260 0.008
     3. Cubeful 0-ply    13/8                         Eq.: -0.526 (-0.400)
       0.366 0.085 0.003 - 0.634 0.284 0.011
     4. Cubeful 0-ply    18/14 2/1*                   Eq.: -0.539 (-0.414)
       0.371 0.070 0.002 - 0.629 0.302 0.012
     5. Cubeful 0-ply    18/14 16/15                  Eq.: -0.732 (-0.606)
       0.325 0.074 0.002 - 0.675 0.368 0.022


Move number 17:  gnubg_checker3ply_cube2ply to play 53

 GNU Backgammon  Position ID: hp/BMQCsncGAIQ
                 Match ID   : QYnuAEAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: sage_checker4ply_cub (Cube: 2)
 | X           O    |   | O  X        O  X |     4 points
 | X           O    |   | O  X        O    |     
 |                  |   | O                |     
 |                  |   | O                |     
 |                  |   | 6                |    
v|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   |                  |     
 | O                |   | X                |     
 | O        O  X    |   | X  X     X       |     Rolled 53
 | O        O  X    |   | X  X  X  X       |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 127, X 144

* gnubg_checker3ply_cube2ply moves 6/1 4/1

Rolled 53 (-0.083):
     1. Cubeful 4-ply    8/5 8/3                      Eq.: +0.062
       0.490 0.157 0.003 - 0.510 0.097 0.004
*    2. Cubeful 4-ply    6/1 4/1                      Eq.: +0.061 (-0.001)
       0.491 0.154 0.002 - 0.509 0.090 0.003
     3. Cubeful 4-ply    8/5 6/1                      Eq.: +0.045 (-0.017)
       0.485 0.154 0.003 - 0.515 0.102 0.005
     4. Cubeful 4-ply    13/10 13/8                   Eq.: +0.014 (-0.048)
       0.479 0.132 0.003 - 0.521 0.080 0.003
     5. Cubeful 2-ply    8/3 4/1                      Eq.: -0.017 (-0.079)
       0.465 0.138 0.002 - 0.535 0.096 0.004


Move number 18:  sage_checker4ply_cube3ply to play 32

 GNU Backgammon  Position ID: M5vBgCGGn8ExAA
                 Match ID   : AYHpAEAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: sage_checker4ply_cub (Cube: 2)
 | X           O    |   | O  X        O  X |     4 points
 | X           O    |   | O  X        O    |     Rolled 32
 |                  |   | O                |     
 |                  |   | O                |     
 |                  |   | 6                |    
^|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   |                  |     
 | O                |   |                  |     
 | O        O  X    |   | X  X     X     X |     
 | O        O  X    |   | X  X     X     X |     0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 127, X 136

* sage_checker4ply_cube3ply moves 13/8

Cube analysis
4-ply cubeless equity -0.098 (Money: -0.046)
  0.509 0.090 0.003 - 0.491 0.154 0.002
Cubeful equities:
1. No double           -0.061
2. Double, pass        +1.000  (+1.061)
3. Double, take        -1.976  (-1.915)
Proper cube action: No redouble, take (64.4%)

Rolled 32 (+0.027):
*    1. Cubeful 2-ply    13/8                         Eq.: -0.009
       0.525 0.080 0.002 - 0.475 0.141 0.001
     2. Cubeful 2-ply    6/1*                         Eq.: -0.135 (-0.126)
       0.487 0.078 0.002 - 0.513 0.178 0.002
     3. Cubeful 2-ply    16/14 16/13                  Eq.: -0.261 (-0.252)
       0.446 0.061 0.002 - 0.554 0.207 0.002
     4. Cubeful 0-ply    6/4 6/3                      Eq.: -0.358 (-0.349)
       0.423 0.081 0.004 - 0.577 0.254 0.006
     5. Cubeful 0-ply    13/11 6/3                    Eq.: -0.423 (-0.414)
       0.403 0.077 0.003 - 0.597 0.269 0.008


Move number 19:  gnubg_checker3ply_cube2ply to play 33

 GNU Backgammon  Position ID: hp+DMQAzm8GAIQ
                 Match ID   : QYntAEAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: sage_checker4ply_cub (Cube: 2)
 | X           O    |   | O  X        O  X |     4 points
 | X           O    |   | O  X        O    |     
 |             O    |   | O                |     
 |                  |   | O                |     
 |                  |   | 6                |    
v|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   |                  |     
 |                  |   |                  |     
 | O        O  X    |   | X  X     X     X |     Rolled 33
 | O        O  X    |   | X  X     X     X |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 122, X 136

* gnubg_checker3ply_cube2ply moves 8/2(2)

Rolled 33 (+0.059):
*    1. Cubeful 2-ply    8/2(2)                       Eq.: +0.117
       0.512 0.166 0.001 - 0.488 0.089 0.003
     2. Cubeful 2-ply    13/10(2) 8/2                 Eq.: +0.023 (-0.094)
       0.486 0.126 0.001 - 0.514 0.068 0.003
     3. Cubeful 2-ply    13/10(2) 5/2(2)              Eq.: +0.002 (-0.115)
       0.480 0.120 0.001 - 0.520 0.070 0.002
     4. Cubeful 2-ply    13/10(2) 8/5(2)              Eq.: -0.004 (-0.121)
       0.481 0.111 0.001 - 0.519 0.060 0.002
     5. Cubeful 2-ply    13/4 13/10                   Eq.: -0.013 (-0.130)
       0.470 0.127 0.002 - 0.530 0.075 0.003


Move number 20:  sage_checker4ply_cube3ply to play 54

 GNU Backgammon  Position ID: 22zAgCGGn4MxAA
                 Match ID   : AYHyAEAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: sage_checker4ply_cub (Cube: 2)
 | X           O    |   | O  X        O  X |     4 points
 | X           O    |   | O  X        O    |     Rolled 54
 |             O    |   | O                |     
 |                  |   | O                |     
 |                  |   | 6                |    
^|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   |                  |     
 |                  |   |                  |     
 | O        O       |   | X  X     X  X  X |     
 | O        O       |   | X  X     X  X  X |     0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 122, X 124

* sage_checker4ply_cube3ply moves 6/2 6/1*

Cube analysis
4-ply cubeless equity -0.163 (Money: -0.107)
  0.484 0.094 0.003 - 0.516 0.171 0.001
Cubeful equities:
1. No double           -0.131
2. Double, pass        +1.000  (+1.131)
3. Double, take        -1.986  (-1.855)
Proper cube action: No redouble, take (62.1%)

Rolled 54 (-0.096):
*    1. Cubeful 2-ply    6/2 6/1*                     Eq.: -0.199
       0.463 0.087 0.003 - 0.537 0.190 0.002
     2. Cubeful 2-ply    8/3 6/2                      Eq.: -0.328 (-0.129)
       0.421 0.078 0.003 - 0.579 0.222 0.002
     3. Cubeful 2-ply    13/9 13/8                    Eq.: -0.336 (-0.137)
       0.414 0.064 0.003 - 0.586 0.213 0.002
     4. Cubeful 2-ply    13/8 6/2                     Eq.: -0.452 (-0.253)
       0.376 0.072 0.004 - 0.624 0.244 0.002
     5. Cubeful 2-ply    8/4 6/1*                     Eq.: -0.501 (-0.301)
       0.386 0.080 0.003 - 0.614 0.304 0.005


Move number 21:  gnubg_checker3ply_cube2ply to play 43

 GNU Backgammon  Position ID: HZ6DMQDbbMCAQQ
                 Match ID   : QQnuAEAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: sage_checker4ply_cub (Cube: 2)
 | X           O    |   | O  X        O  O |     4 points
 | X           O    |   | O  X        O    |     
 |             O    |   | O           O    |     
 |                  |   | O                |     
 |                  |   |                  |    
v|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   |                  |     
 |                  |   |                  |     
 | O        O       |   | X  X     X  X  X |     Rolled 43
 | O        O       | X | X  X     X  X  X |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 113, X 125

* gnubg_checker3ply_cube2ply moves bar/22 20/16

Rolled 43 (-0.201):
*    1. Cubeful 4-ply    bar/22 20/16                 Eq.: +0.056
       0.493 0.156 0.001 - 0.507 0.133 0.003
     2. Cubeful 4-ply    bar/18                       Eq.: -0.022 (-0.078)
       0.474 0.113 0.001 - 0.526 0.082 0.001
     3. Cubeful 2-ply    bar/21 13/10                 Eq.: -0.073 (-0.129)
       0.445 0.131 0.001 - 0.555 0.118 0.003
     4. Cubeful 2-ply    bar/22 5/1                   Eq.: -0.208 (-0.265)
       0.405 0.088 0.001 - 0.595 0.118 0.003
     5. Cubeful 2-ply    bar/21 6/3                   Eq.: -0.212 (-0.269)
       0.403 0.086 0.001 - 0.597 0.109 0.003


Move number 22:  sage_checker4ply_cube3ply to play 11

 GNU Backgammon  Position ID: 22zACAkdnoMxAA
                 Match ID   : AYHkAEAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: sage_checker4ply_cub (Cube: 2)
 | X        X  O    |   | O  X     X  O  O |     4 points
 | X           O    |   | O           O    |     Rolled 11
 |             O    |   | O           O    |     
 |                  |   | O                |     
 |                  |   |                  |    
^|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   |                  |     
 |                  |   |                  |     
 | O        O       |   | X  X     X  X  X |     
 | O        O       |   | X  X     X  X  X |     0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 113, X 118

* sage_checker4ply_cube3ply moves 8/7 6/5*(2) 2/1

Cube analysis
4-ply cubeless equity -0.072 (Money: -0.008)
  0.507 0.133 0.003 - 0.493 0.156 0.001
Cubeful equities:
1. No double           -0.056
2. Double, pass        +1.000  (+1.056)
3. Double, take        -1.891  (-1.835)
Proper cube action: No redouble, take (63.5%)
Alert: lucky roll! ( +0.393)

Rolled 11 (+0.393):
*    1. Cubeful 2-ply    8/7 6/5*(2) 2/1              Eq.: +0.388
       0.668 0.276 0.010 - 0.332 0.103 0.001
     2. Cubeful 2-ply    16/15 6/5*(2) 2/1            Eq.: +0.215 (-0.173)
       0.624 0.257 0.011 - 0.376 0.165 0.003
     3. Cubeful 2-ply    6/5*/3* 2/1                  Eq.: +0.186 (-0.201)
       0.603 0.287 0.011 - 0.397 0.161 0.002
     4. Cubeful 0-ply    8/7(3) 2/1                   Eq.: +0.069 (-0.318)
       0.535 0.090 0.002 - 0.465 0.094 0.000
     5. Cubeful 0-ply    8/5* 6/5                     Eq.: +0.021 (-0.366)
       0.544 0.178 0.009 - 0.456 0.172 0.002


Move number 23:  gnubg_checker3ply_cube2ply to play 51

 GNU Backgammon  Position ID: G1uDMQDbbMAIRA
                 Match ID   : QYnmAEAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: sage_checker4ply_cub (Cube: 2)
 | X        X  O  O |   | O  O     X  O  O |     4 points
 | X           O    |   | O  O        O  O |     
 |                  |   |                  |     
 |                  |   |                  |     
 |                  |   |                  |    
v|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   |                  |     
 |                  |   |                  |     
 | O        O       |   | X  X     X  X  X |     Rolled 51
 | O        O       | X | X  X     X  X  X |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 109, X 123

* gnubg_checker3ply_cube2ply cannot move

Rolled 51 (-0.292):
*    Cannot move


Move number 24:  sage_checker4ply_cube3ply to play 32

 GNU Backgammon  Position ID: 22zACEQbW4MxAA
                 Match ID   : AYHpAEAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: sage_checker4ply_cub (Cube: 2)
 | X        X  O  O |   | O  O     X  O  O |     4 points
 | X           O    |   | O  O        O  O |     Rolled 32
 |                  |   |                  |     
 |                  |   |                  |     
 |                  |   |                  |    
^|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   |                  |     
 |                  |   |                  |     
 | O        O       |   | X  X     X  X  X |     
 | O        O       | X | X  X     X  X  X |     0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 109, X 123

* sage_checker4ply_cube3ply moves 16/13 7/5

Cube analysis
4-ply cubeless equity +0.784 (Money: +0.927)
  0.772 0.426 0.013 - 0.228 0.056 0.001
Cubeful equities:
1. No double           +0.703
2. Double, pass        +1.000  (+0.297)
3. Double, take        -0.041  (-0.744)
Proper cube action: No redouble, take (71.5%)

Rolled 32 (-0.220):
*    1. Cubeful 4-ply    16/13 7/5                    Eq.: +0.481
       0.699 0.252 0.008 - 0.301 0.072 0.001
     2. Cubeful 4-ply    8/6 8/5                      Eq.: +0.419 (-0.061)
       0.676 0.313 0.010 - 0.324 0.097 0.002
     3. Cubeful 2-ply    8/3*                         Eq.: +0.356 (-0.125)
       0.674 0.458 0.017 - 0.326 0.173 0.007
     4. Cubeful 2-ply    7/2                          Eq.: +0.350 (-0.130)
       0.650 0.245 0.008 - 0.350 0.094 0.001
     5. Cubeful 2-ply    8/5 7/5                      Eq.: +0.317 (-0.164)
       0.640 0.284 0.009 - 0.360 0.113 0.002


Move number 25:  gnubg_checker3ply_cube2ply to play 64

 GNU Backgammon  Position ID: GzeDIwDbbMAIRA
                 Match ID   : QQnzAEAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: sage_checker4ply_cub (Cube: 2)
 | X        X  O    |   | O  O     X  O  O |     4 points
 | X           O    |   | O  O        O  O |     
 |                  |   |    O             |     
 |                  |   |                  |     
 |                  |   |                  |    
v|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   |                  |     
 | O                |   |                  |     
 | O                |   | X  X     X  X  X |     Rolled 64
 | O        O       | X | X  X     X  X  X |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 104, X 123

* gnubg_checker3ply_cube2ply moves bar/21 22/16

Rolled 64 (+0.143):
*    1. Cubeful 2-ply    bar/21 22/16                 Eq.: -0.330
       0.355 0.081 0.001 - 0.645 0.154 0.002
     2. Cubeful 2-ply    bar/21 16/10                 Eq.: -0.442 (-0.112)
       0.314 0.075 0.001 - 0.686 0.228 0.006
     3. Cubeful 2-ply    bar/15                       Eq.: -0.633 (-0.303)
       0.250 0.056 0.001 - 0.750 0.364 0.011
     4. Cubeful 2-ply    bar/21 13/7                  Eq.: -0.633 (-0.304)
       0.248 0.058 0.001 - 0.752 0.355 0.029


Move number 26:  sage_checker4ply_cube3ply to play 65

 GNU Backgammon  Position ID: 22zAGAQbN4MjAA
                 Match ID   : AQH3AEAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: sage_checker4ply_cub (Cube: 2)
 | X        X  O    |   | O  O  X     O  O |     4 points
 | X        X  O    |   | O  O        O  O |     Rolled 65
 |                  |   |    O             |     
 |                  |   |                  |     
 |                  |   |                  |    
^|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   |                  |     
 | O                |   |                  |     
 | O                |   | X  X     X  X  X |     
 | O        O       |   | X  X     X  X  X |     0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 104, X 113

* sage_checker4ply_cube3ply moves 16/5

Cube analysis
4-ply cubeless equity +0.310 (Money: +0.368)
  0.646 0.156 0.002 - 0.354 0.080 0.001
Cubeful equities:
1. No double           +0.332
2. Double, pass        +1.000  (+0.668)
3. Double, take        -1.019  (-1.350)
Proper cube action: No redouble, take (66.9%)

Rolled 65 (+0.112):
*    1. Cubeful 0-ply    16/5                         Eq.: +0.425
       0.672 0.073 0.000 - 0.328 0.030 0.000
     2. Cubeful 0-ply    13/2                         Eq.: -0.105 (-0.529)
       0.479 0.093 0.001 - 0.521 0.136 0.003
     3. Cubeful 0-ply    16/10 13/8                   Eq.: -0.137 (-0.561)
       0.464 0.086 0.001 - 0.536 0.134 0.003
     4. Cubeful 0-ply    8/3 8/2                      Eq.: -0.239 (-0.663)
       0.432 0.079 0.001 - 0.568 0.160 0.005
     5. Cubeful 0-ply    16/11 13/7                   Eq.: -0.357 (-0.782)
       0.407 0.089 0.001 - 0.593 0.216 0.007


Move number 27:  gnubg_checker3ply_cube2ply to play 54

 GNU Backgammon  Position ID: G28GBwDbbMAYBA
                 Match ID   : QYnyAEAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: sage_checker4ply_cub (Cube: 2)
 | X        X  O    |   | O  O  X     O  O |     4 points
 | X        X  O    |   | O  O        O  O |     
 |                  |   |    O             |     
 |                  |   |    O             |     
 |                  |   |                  |    
v|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   |                  |     
 | O                |   |                  |     
 | O                |   | X  X     X  X  X |     Rolled 54
 | O                |   | X  X     X  X  X |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 93, X 113

* gnubg_checker3ply_cube2ply moves 13/9 13/8

Rolled 54 (+0.022):
*    1. Cubeful 4-ply    13/9 13/8                    Eq.: -0.488
       0.300 0.033 0.000 - 0.700 0.103 0.001
     2. Cubeful 4-ply    13/4                         Eq.: -0.539 (-0.051)
       0.283 0.040 0.000 - 0.717 0.187 0.002
     3. Cubeful 2-ply    21/16 13/9                   Eq.: -0.567 (-0.079)
       0.267 0.017 0.000 - 0.733 0.072 0.000
     4. Cubeful 2-ply    21/16 6/2                    Eq.: -0.584 (-0.096)
       0.259 0.003 0.000 - 0.741 0.015 0.000
     5. Cubeful 2-ply    16/7                         Eq.: -0.591 (-0.103)
       0.262 0.030 0.000 - 0.738 0.173 0.002


Move number 28:  sage_checker4ply_cube3ply to play 53

 GNU Backgammon  Position ID: 22wKGAQbbwYHAA
                 Match ID   : AYHuAEAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: sage_checker4ply_cub (Cube: 2)
 |          X  O    |   | O  O  X     O  O |     4 points
 |          X  O    |   | O  O        O  O |     Rolled 53
 |                  |   |    O             |     
 |                  |   |    O             |     
 |                  |   |                  |    
^|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   |                  |     
 | O                |   |                  |     
 | O                |   | X  X     X  X  X |     
 | O        X  X    |   | X  X     X  X  X |     0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 93, X 104

* sage_checker4ply_cube3ply moves 13/8 5/2

Cube analysis
4-ply cubeless equity +0.434 (Money: +0.469)
  0.700 0.103 0.001 - 0.300 0.033 0.000
Cubeful equities:
1. No double           +0.488
2. Double, pass        +1.000  (+0.512)
3. Double, take        -0.601  (-1.089)
Proper cube action: No redouble, take (68.0%)

Rolled 53 (-0.068):
*    1. Cubeful 4-ply    13/8 5/2                     Eq.: +0.441
       0.680 0.062 0.000 - 0.320 0.028 0.000
     2. Cubeful 4-ply    13/5                         Eq.: +0.411 (-0.029)
       0.675 0.079 0.001 - 0.325 0.045 0.001
     3. Cubeful 2-ply    8/5 8/3                      Eq.: +0.318 (-0.123)
       0.627 0.060 0.000 - 0.373 0.035 0.000
     4. Cubeful 2-ply    6/3 6/1                      Eq.: +0.193 (-0.248)
       0.579 0.033 0.000 - 0.421 0.052 0.000
     5. Cubeful 0-ply    13/8 6/3                     Eq.: -0.057 (-0.498)
       0.485 0.043 0.000 - 0.515 0.102 0.001


Move number 29:  gnubg_checker3ply_cube2ply to play 64

 GNU Backgammon  Position ID: O24OBgDbbAoYBA
                 Match ID   : QQnzAEAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: sage_checker4ply_cub (Cube: 2)
 |          X  O    |   | O  O  X     O  O |     4 points
 |          X  O    |   | O  O        O  O |     
 |             O    |   |    O        O    |     
 |                  |   |                  |     
 |                  |   |                  |    
v|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   |                  |     
 |                  |   |                  |     
 | O                |   | X  X     X  X  X |     Rolled 64
 | O        X  X    |   | X  X     X  X  X |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 85, X 104

* gnubg_checker3ply_cube2ply moves 21/11

Rolled 64 (-0.021):
*    1. Cubeful 4-ply    21/11                        Eq.: -0.443
       0.323 0.004 0.000 - 0.677 0.004 0.000
     2. Cubeful 4-ply    16/10 8/4                    Eq.: -0.470 (-0.026)
       0.303 0.051 0.001 - 0.697 0.138 0.004
     3. Cubeful 4-ply    9/3 8/4                      Eq.: -0.476 (-0.033)
       0.307 0.025 0.000 - 0.693 0.074 0.001
     4. Cubeful 4-ply    9/5 8/2                      Eq.: -0.489 (-0.045)
       0.302 0.021 0.000 - 0.698 0.063 0.001
     5. Cubeful 2-ply    21/15 8/4                    Eq.: -0.488 (-0.045)
       0.298 0.023 0.000 - 0.702 0.050 0.001


Move number 30:  sage_checker4ply_cube3ply to play 32

 GNU Backgammon  Position ID: 22xKMAA7bg4GAA
                 Match ID   : AYHpAEAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: sage_checker4ply_cub (Cube: 2)
 |          X  O    |   | O  O        O  O |     4 points
 |          X  O    |   | O  O        O  O |     Rolled 32
 |             O    |   |    O        O    |     
 |                  |   |                  |     
 |                  |   |                  |    
^|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   |                  |     
 |                  |   |                  |     
 | O                |   | X  X     X  X  X |     
 | O  X     X  X    |   | X  X     X  X  X |     0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 85, X 94

* sage_checker4ply_cube3ply moves 6/4 6/3

Cube analysis
4-ply cubeless equity +0.351 (Money: +0.353)
  0.677 0.004 0.000 - 0.323 0.004 0.000
Cubeful equities:
1. No double           +0.443
2. Double, pass        +1.000  (+0.557)
3. Double, take        -0.779  (-1.223)
Proper cube action: No redouble, take (68.7%)

Rolled 32 (-0.101):
*    1. Cubeful 4-ply    6/4 6/3                      Eq.: +0.344
       0.632 0.004 0.000 - 0.368 0.006 0.000
     2. Cubeful 4-ply    8/3                          Eq.: +0.343 (-0.001)
       0.632 0.004 0.000 - 0.368 0.005 0.000
     3. Cubeful 4-ply    8/5 6/4                      Eq.: +0.342 (-0.002)
       0.631 0.004 0.000 - 0.369 0.005 0.000
     4. Cubeful 4-ply    6/3 5/3                      Eq.: +0.337 (-0.007)
       0.629 0.004 0.000 - 0.371 0.005 0.000
     5. Cubeful 4-ply    8/6 8/5                      Eq.: +0.309 (-0.035)
       0.616 0.003 0.000 - 0.384 0.005 0.000


Move number 31:  gnubg_checker3ply_cube2ply to play 41

 GNU Backgammon  Position ID: uzoOBgDbbEowAA
                 Match ID   : QQnmAEAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: sage_checker4ply_cub (Cube: 2)
 |          X  O    |   |    O  O  O  O  O |     4 points
 |          X  O    |   |    O        O  O |     
 |             O    |   |    O        O    |     
 |                  |   |                  |     
 |                  |   |                  |    
v|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   |                  |     
 |                  |   |                  |     
 | O                |   | X  X     X  X  X |     Rolled 41
 | O  X     X  X    |   | X  X     X  X  X |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 80, X 94

* gnubg_checker3ply_cube2ply moves 11/10 8/4

Rolled 41 (-0.086):
*    1. Cubeful 4-ply    11/10 8/4                    Eq.: -0.431
       0.328 0.006 0.000 - 0.672 0.004 0.000
     2. Cubeful 4-ply    8/4 5/4                      Eq.: -0.433 (-0.002)
       0.327 0.005 0.000 - 0.673 0.004 0.000
     3. Cubeful 4-ply    9/4                          Eq.: -0.436 (-0.005)
       0.326 0.005 0.000 - 0.674 0.004 0.000
     4. Cubeful 4-ply    11/7 5/4                     Eq.: -0.441 (-0.010)
       0.324 0.004 0.000 - 0.676 0.004 0.000
     5. Cubeful 2-ply    8/4 6/5                      Eq.: -0.432 (-0.001)
       0.328 0.005 0.000 - 0.672 0.005 0.000


Move number 32:  sage_checker4ply_cube3ply to play 53

 GNU Backgammon  Position ID: 29ooMAC7Og4GAA
                 Match ID   : AYHuAEAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: sage_checker4ply_cub (Cube: 2)
 |          X  O    |   |    O  O  O  O  O |     4 points
 |          X  O    |   |    O        O  O |     Rolled 53
 |             O    |   |    O        O    |     
 |                  |   |                  |     
 |                  |   |                  |    
^|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   |                  |     
 |                  |   |                  |     
 | O                |   | X  X     X  X  X |     
 | O     X  X       |   | X  X  X  X  X  X |     0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 80, X 89

* sage_checker4ply_cube3ply moves 8/5 8/3

Cube analysis
4-ply cubeless equity +0.340 (Money: +0.342)
  0.672 0.004 0.000 - 0.328 0.006 0.000
Cubeful equities:
1. No double           +0.431
2. Double, pass        +1.000  (+0.569)
3. Double, take        -0.816  (-1.247)
Proper cube action: No redouble, take (68.7%)

Rolled 53 (-0.072):
*    1. Cubeful 4-ply    8/5 8/3                      Eq.: +0.362
       0.643 0.004 0.000 - 0.357 0.007 0.000
     2. Cubeful 4-ply    8/3 5/2                      Eq.: +0.352 (-0.010)
       0.638 0.004 0.000 - 0.362 0.008 0.000
     3. Cubeful 4-ply    8/3 4/1                      Eq.: +0.331 (-0.031)
       0.628 0.003 0.000 - 0.372 0.008 0.000
     4. Cubeful 2-ply    13/10 13/8                   Eq.: +0.097 (-0.265)
       0.543 0.017 0.001 - 0.457 0.055 0.001
     5. Cubeful 0-ply    13/5                         Eq.: -0.152 (-0.514)
       0.419 0.014 0.000 - 0.581 0.048 0.000


Move number 33:  gnubg_checker3ply_cube2ply to play 31

 GNU Backgammon  Position ID: u/UIBgDb2igwAA
                 Match ID   : QYnlAEAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: sage_checker4ply_cub (Cube: 2)
 |          X  O    |   |    O  O  O  O  O |     4 points
 |          X       |   |    O     O  O  O |     
 |                  |   |    O        O    |     
 |                  |   |    O             |     
 |                  |   |                  |    
v|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   |                  |     
 |                  |   |                  |     
 | O                |   | X  X     X  X  X |     Rolled 31
 | O     X  X       |   | X  X  X  X  X  X |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 72, X 89

* gnubg_checker3ply_cube2ply moves 10/7 9/8

Rolled 31 (-0.105):
     1. Cubeful 4-ply    9/5                          Eq.: -0.452
       0.317 0.008 0.000 - 0.683 0.005 0.000
*    2. Cubeful 4-ply    10/7 9/8                     Eq.: -0.453 (-0.001)
       0.317 0.008 0.000 - 0.683 0.005 0.000
     3. Cubeful 4-ply    10/7 5/4                     Eq.: -0.453 (-0.001)
       0.317 0.008 0.000 - 0.683 0.005 0.000
     4. Cubeful 4-ply    10/6                         Eq.: -0.454 (-0.002)
       0.316 0.008 0.000 - 0.684 0.005 0.000
     5. Cubeful 2-ply    9/6 5/4                      Eq.: -0.467 (-0.015)
       0.312 0.006 0.000 - 0.688 0.005 0.000


Move number 34:  sage_checker4ply_cube3ply to play 22

 GNU Backgammon  Position ID: 29oKMAC79QgGAA
                 Match ID   : AQHpAEAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: sage_checker4ply_cub (Cube: 2)
 |          X  O    |   |    O  O  O  O  O |     4 points
 |          X       |   |    O     O  O  O |     Rolled 22
 |                  |   |    O        O    |     
 |                  |   |    O             |     
 |                  |   |                  |    
^|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   |                  |     
 |                  |   |                  |     
 | O                |   | X  X     X  X  X |     
 | O           X  X |   | X  X  X  X  X  X |     0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 72, X 85

* sage_checker4ply_cube3ply moves 13/11(2) 5/1

Cube analysis
4-ply cubeless equity +0.361 (Money: +0.364)
  0.683 0.005 0.000 - 0.317 0.008 0.000
Cubeful equities:
1. No double           +0.453
2. Double, pass        +1.000  (+0.547)
3. Double, take        -0.729  (-1.181)
Proper cube action: No redouble, take (68.3%)

Rolled 22 (+0.190):
*    1. Cubeful 4-ply    13/11(2) 5/1                 Eq.: +0.688
       0.796 0.010 0.000 - 0.204 0.005 0.000
     2. Cubeful 4-ply    13/11(2) 5/3(2)              Eq.: +0.684 (-0.005)
       0.793 0.009 0.000 - 0.207 0.004 0.000
     3. Cubeful 4-ply    13/11(2) 8/6 5/3             Eq.: +0.676 (-0.012)
       0.792 0.006 0.000 - 0.208 0.004 0.000
     4. Cubeful 4-ply    13/11(2) 8/4                 Eq.: +0.657 (-0.031)
       0.782 0.002 0.000 - 0.218 0.002 0.000
     5. Cubeful 2-ply    13/11(2) 5/3 4/2             Eq.: +0.646 (-0.042)
       0.775 0.006 0.000 - 0.225 0.004 0.000


Move number 35:  gnubg_checker3ply_cube2ply to play 63

 GNU Backgammon  Position ID: d+uIAQDb2gowAA
                 Match ID   : QQnvAEAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: sage_checker4ply_cub (Cube: 2)
 |    O     X  O    |   |    O  O  O  O  O |     4 points
 |    O     X       |   |    O     O  O  O |     
 |                  |   |    O        O  O |     
 |                  |   |                  |     
 |                  |   |                  |    
v|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   |                  |     
 |                  |   |                  |     
 |                  |   | X  X     X  X  X |     Rolled 63
 |             X  X |   | X  X  X  X  X  X |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 64, X 85

* gnubg_checker3ply_cube2ply moves 16/10 7/4

Rolled 63 (+0.010):
*    1. Cubeful 4-ply    16/10 7/4                    Eq.: -0.690
       0.208 0.007 0.000 - 0.792 0.007 0.000
     2. Cubeful 4-ply    8/2 7/4                      Eq.: -0.700 (-0.009)
       0.205 0.002 0.000 - 0.795 0.002 0.000
     3. Cubeful 4-ply    16/10 8/5                    Eq.: -0.718 (-0.028)
       0.197 0.005 0.000 - 0.803 0.011 0.000
     4. Cubeful 4-ply    8/5 7/1                      Eq.: -0.726 (-0.036)
       0.192 0.002 0.000 - 0.808 0.002 0.000
     5. Cubeful 2-ply    8/2 6/3                      Eq.: -0.742 (-0.052)
       0.187 0.001 0.000 - 0.813 0.002 0.000


Move number 36:  sage_checker4ply_cube3ply to play 63

 GNU Backgammon  Position ID: 27ZJIAB364gBAA
                 Match ID   : AQHvAEAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: sage_checker4ply_cub (Cube: 2)
 |    O     X  O    |   |    O  O  O  O  O |     4 points
 |    O             |   |    O     O  O  O |     Rolled 63
 |                  |   |    O        O  O |     
 |                  |   |                  |     
 |                  |   |                  |    
^|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   |                  |     
 |                  |   |                  |     
 |                  |   | X  X  X  X  X  X |     
 |       X     X    |   | X  X  X  X  X  X |     0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 64, X 76

* sage_checker4ply_cube3ply moves 11/8 11/5

Cube analysis
4-ply cubeless equity +0.580 (Money: +0.583)
  0.792 0.007 0.000 - 0.208 0.007 0.000
Cubeful equities:
1. No double           +0.690
2. Double, pass        +1.000  (+0.310)
3. Double, take        +0.107  (-0.583)
Proper cube action: No redouble, take (65.3%)

Rolled 63 (+0.048):
*    1. Cubeful 2-ply    11/8 11/5                    Eq.: +0.712
       0.806 0.000 0.000 - 0.194 0.000 0.000
     2. Cubeful 2-ply    8/2 5/2                      Eq.: +0.513 (-0.199)
       0.715 0.002 0.000 - 0.285 0.007 0.000
     3. Cubeful 2-ply    8/2 4/1                      Eq.: +0.482 (-0.229)
       0.699 0.002 0.000 - 0.301 0.005 0.000
     4. Cubeful 0-ply    11/5 8/5                     Eq.: +0.113 (-0.599)
       0.523 0.003 0.000 - 0.477 0.006 0.000
     5. Cubeful 0-ply    11/2                         Eq.: +0.097 (-0.615)
       0.515 0.003 0.000 - 0.485 0.012 0.000


Move number 37:  gnubg_checker3ply_cube2ply to play 11

 GNU Backgammon  Position ID: d+sxAADbtkkgAA
                 Match ID   : QYnkAEAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: sage_checker4ply_cub (Cube: 2)
 |          X  O    |   |    O  O  O  O  O |     4 points
 |             O    |   |    O     O  O  O |     
 |                  |   |    O        O  O |     
 |                  |   |    O             |     
 |                  |   |                  |    
v|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   |                  |     
 |                  |   |                  |     
 |                  |   | X  X  X  X  X  X |     Rolled 11
 |       X     X    |   | X  X  X  X  X  X |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 55, X 76

* gnubg_checker3ply_cube2ply moves 16/14 8/6

Rolled 11 (-0.255):
*    1. Cubeful 4-ply    16/14 8/6                    Eq.: -0.890
       0.117 0.000 0.000 - 0.883 0.000 0.000
     2. Cubeful 4-ply    10/9 8/5                     Eq.: -0.892 (-0.002)
       0.117 0.000 0.000 - 0.883 0.000 0.000
     3. Cubeful 4-ply    16/15 8/5                    Eq.: -0.892 (-0.002)
       0.116 0.000 0.000 - 0.884 0.000 0.000
     4. Cubeful 4-ply    16/15 10/9 8/6               Eq.: -0.896 (-0.005)
       0.115 0.000 0.000 - 0.885 0.000 0.000
     5. Cubeful 2-ply    10/6                         Eq.: -0.909 (-0.019)
       0.115 0.000 0.000 - 0.885 0.000 0.000


Move number 38:  sage_checker4ply_cube3ply to play 52

 GNU Backgammon  Position ID: 27ZDCAB36zEAAA
                 Match ID   : AYHqAEAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: sage_checker4ply_cub (Cube: 2)
 |    X        O    |   |    O  O  O  O  O |     4 points
 |             O    |   |    O     O  O  O |     Rolled 52
 |                  |   |    O        O  O |     
 |                  |   |    O             |     
 |                  |   |                  |    
^|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   |                  |     
 |                  |   | X                |     
 |                  |   | X  X  X  X  X  X |     
 |       X          |   | X  X  X  X  X  X |     0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 55, X 72

* sage_checker4ply_cube3ply moves 8/6 8/3

Cube analysis
4-ply cubeless equity +0.765 (Money: +0.765)
  0.883 0.000 0.000 - 0.117 0.000 0.000
Cubeful equities:
1. No double           +0.890
2. Double, pass        +1.000  (+0.110)
3. Double, take        +0.809  (-0.081)
Proper cube action: No redouble, take (42.4%)

Rolled 52 (+0.007):
*    1. Cubeful 4-ply    8/6 8/3                      Eq.: +0.879
       0.876 0.000 0.000 - 0.124 0.000 0.000
     2. Cubeful 4-ply    8/3 5/3                      Eq.: +0.850 (-0.029)
       0.864 0.000 0.000 - 0.136 0.000 0.000
     3. Cubeful 4-ply    8/1                          Eq.: +0.808 (-0.071)
       0.845 0.000 0.000 - 0.155 0.000 0.000
     4. Cubeful 2-ply    8/3 4/2                      Eq.: +0.768 (-0.111)
       0.830 0.000 0.000 - 0.170 0.000 0.000


Move number 39:  gnubg_checker3ply_cube2ply to play 43

 GNU Backgammon  Position ID: d9cLAADbtkMIAA
                 Match ID   : QQnuAEAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: sage_checker4ply_cub (Cube: 2)
 |    X             |   | O  O  O  O  O  O |     4 points
 |                  |   |    O     O  O  O |     
 |                  |   |    O     O  O  O |     
 |                  |   |    O             |     
 |                  |   |                  |    
v|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   |                  |     
 |                  |   | X                |     
 |                  |   | X  X  X  X  X  X |     Rolled 43
 |       X          |   | X  X  X  X  X  X |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 48, X 72

* gnubg_checker3ply_cube2ply moves 14/11 10/6

Rolled 43 (-0.094):
*    1. Cubeful 4-ply    14/11 10/6                   Eq.: -0.969
       0.097 0.000 0.000 - 0.903 0.000 0.000
     2. Cubeful 4-ply    14/7                         Eq.: -1.000 (-0.031)
       0.087 0.000 0.000 - 0.913 0.000 0.000
     3. Cubeful 4-ply    10/3                         Eq.: -1.000 (-0.031)
       0.080 0.000 0.000 - 0.920 0.000 0.000
     4. Cubeful 4-ply    14/10 6/3                    Eq.: -1.000 (-0.031)
       0.080 0.000 0.000 - 0.920 0.000 0.000
     5. Cubeful 2-ply    14/11 6/2                    Eq.: -1.000 (-0.031)
       0.075 0.000 0.000 - 0.925 0.000 0.000


Move number 40:  sage_checker4ply_cube3ply on roll, cube decision?

 GNU Backgammon  Position ID: 27YHAQB31wsAAA
                 Match ID   : AQHgAEAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: sage_checker4ply_cub (Cube: 2)
 |                  |   | O  O  O  O  O  O |     4 points
 |                  |   |    O     O  O  O |     On roll
 |                  |   |    O     O  O  O |     
 |                  |   |    O             |     
 |                  |   |                  |    
^|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   | X                |     
 |                  |   | X                |     
 |                  |   | X  X  X  X  X  X |     
 |    X             |   | X  X  X  X  X  X |     0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 48, X 65

* sage_checker4ply_cube3ply doubles


Cube analysis
4-ply cubeless equity +0.806 (Money: +0.806)
  0.903 0.000 0.000 - 0.097 0.000 0.000
Cubeful equities:
1. Double, take        +0.969
2. Double, pass        +1.000  (+0.031)
3. No double           +0.931  (-0.038)
Proper cube action: Redouble, take
Move number 41:  sage_checker4ply_cube3ply doubles to 4

 GNU Backgammon  Position ID: 27YHAQB31wsAAA
                 Match ID   : ARngAEAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: sage_checker4ply_cube3ply
 |                  |   | O  O  O  O  O  O |     4 points
 |                  |   |    O     O  O  O |     
 |                  |   |    O     O  O  O |     
 |                  |   |    O             |     
 |                  |   |                  |    
^|                  |BAR|                  |     
 |                  |   |                  |    
 |                  |   | X                |     
 |                  |   | X                |     
 |                  |   | X  X  X  X  X  X |     Cube offered at 4
 |    X             |   | X  X  X  X  X  X |     0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 48, X 65

* gnubg_checker3ply_cube2ply accepts


Cube analysis
4-ply cubeless equity -0.806 (Money: -0.806)
  0.097 0.000 0.000 - 0.903 0.000 0.000
Cubeful equities:
1. Double, take        -0.969
2. Double, pass        -1.000  (-0.031)
3. No double           -0.931  (+0.038)
Proper cube action: Redouble, take
Move number 42:  sage_checker4ply_cube3ply to play 64

 GNU Backgammon  Position ID: 27YHAQB31wsAAA
                 Match ID   : EgHzAEAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: sage_checker4ply_cube3ply
 |                  |   | O  O  O  O  O  O |     4 points
 |                  |   |    O     O  O  O |     Rolled 64
 |                  |   |    O     O  O  O |     
 |                  |   |    O             |     
 |                  |   |                  |    
^|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   | X                |     
 |                  |   | X                |     
 |                  |   | X  X  X  X  X  X |     
 |    X             |   | X  X  X  X  X  X |     0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: gnubg_checker3ply_cu (Cube: 4)
Pip counts: O 48, X 65

* sage_checker4ply_cube3ply moves 6/off 4/off

Rolled 64 (-0.006):
*    1. Cubeful 4-ply    6/off 4/off                  Eq.: +0.608
       0.902 0.000 0.000 - 0.098 0.000 0.000
     2. Cubeful 4-ply    6/off 5/1                    Eq.: +0.594 (-0.014)
       0.899 0.000 0.000 - 0.101 0.000 0.000
     3. Cubeful 4-ply    6/2 5/off                    Eq.: +0.583 (-0.025)
       0.896 0.000 0.000 - 0.104 0.000 0.000


Move number 43:  gnubg_checker3ply_cube2ply on roll, cube decision?

 GNU Backgammon  Position ID: d+cBAMC27UEAAA
                 Match ID   : UgngAEAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: sage_checker4ply_cube3ply
 |                  |   |    O     O  O  O | O   4 points
 |                  |   |    O     O  O  O | O   
 |                  |   |    O     O  O  O |     
 |                  |   |    O             |     
 |                  |   |                  |    
v|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   | X                |     
 |                  |   | X                |     
 |                  |   | X  X  X  X  X  X |     On roll
 |    X             |   | X  X  X  X  X  X |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: gnubg_checker3ply_cu (Cube: 4)
Pip counts: O 38, X 65

* gnubg_checker3ply_cube2ply doubles


Cube analysis
4-ply cubeless equity -0.804 (Money: -0.804)
  0.098 0.000 0.000 - 0.902 0.000 0.000
Cubeful equities:
1. Double, take        -0.608
2. Double, pass        +1.000  (+1.608)
3. No double           -0.611  (-0.003)
Proper cube action: Redouble, take
Move number 44:  gnubg_checker3ply_cube2ply doubles to 8

 GNU Backgammon  Position ID: d+cBAMC27UEAAA
                 Match ID   : UhHgAEAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: sage_checker4ply_cube3ply
 |                  |   |    O     O  O  O | O   4 points
 |                  |   |    O     O  O  O | O   Cube offered at 8
 |                  |   |    O     O  O  O |     
 |                  |   |    O             |     
 |                  |   |                  |    
v|                  |BAR|                  |     
 |                  |   |                  |    
 |                  |   | X                |     
 |                  |   | X                |     
 |                  |   | X  X  X  X  X  X |     
 |    X             |   | X  X  X  X  X  X |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 38, X 65

* sage_checker4ply_cube3ply accepts


Cube analysis
4-ply cubeless equity +0.804 (Money: +0.804)
  0.902 0.000 0.000 - 0.098 0.000 0.000
Cubeful equities:
1. Double, take        +0.608
2. Double, pass        -1.000  (-1.608)
3. No double           +0.611  (+0.003)
Proper cube action: Redouble, take
Move number 45:  gnubg_checker3ply_cube2ply to play 31

 GNU Backgammon  Position ID: d+cBAMC27UEAAA
                 Match ID   : Q4nlAEAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: sage_checker4ply_cub (Cube: 8)
 |                  |   |    O     O  O  O | O   4 points
 |                  |   |    O     O  O  O | O   
 |                  |   |    O     O  O  O |     
 |                  |   |    O             |     
 |                  |   |                  |    
v|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   | X                |     
 |                  |   | X                |     
 |                  |   | X  X  X  X  X  X |     Rolled 31
 |    X             |   | X  X  X  X  X  X |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 38, X 65

* gnubg_checker3ply_cube2ply moves 11/8 6/5

Rolled 31 (-0.111):
*    1. Cubeful 4-ply    11/8 6/5                     Eq.: -0.908
       0.046 0.000 0.000 - 0.954 0.000 0.000
     2. Cubeful 4-ply    11/7                         Eq.: -0.918 (-0.010)
       0.041 0.000 0.000 - 0.959 0.000 0.000
     3. Cubeful 4-ply    11/10 6/3                    Eq.: -0.919 (-0.010)
       0.041 0.000 0.000 - 0.959 0.000 0.000
     4. Cubeful 4-ply    11/8 5/4                     Eq.: -0.920 (-0.012)
       0.040 0.000 0.000 - 0.960 0.000 0.000
     5. Cubeful 2-ply    6/5 6/3                      Eq.: -0.921 (-0.013)
       0.039 0.000 0.000 - 0.961 0.000 0.000


Move number 46:  sage_checker4ply_cube3ply to play 63

 GNU Backgammon  Position ID: 23YnAAB35wEAAA
                 Match ID   : AwHvAEAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: sage_checker4ply_cub (Cube: 8)
 |                  |   |    O     O  O  O | O   4 points
 |                  |   |    O     O  O  O | O   Rolled 63
 |                  |   |    O     O  O  O |     
 |                  |   |    O             |     
 |                  |   |                  |    
^|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   |                  |     
 |                  |   | X  X             |     
 |                  |   | X  X  X  X  X  X |     
 |             X    |   | X  X  X  X  X  X |     0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 38, X 61

* sage_checker4ply_cube3ply moves 5/off 3/off

Rolled 63 (+0.021):
*    1. Cubeful 4-ply    5/off 3/off                  Eq.: +0.934
       0.967 0.000 0.000 - 0.033 0.000 0.000
     2. Cubeful 4-ply    5/2 5/off                    Eq.: +0.897 (-0.037)
       0.949 0.000 0.000 - 0.051 0.000 0.000


Move number 47:  gnubg_checker3ply_cube2ply to play 41

 GNU Backgammon  Position ID: d3MAALBtdwIAAA
                 Match ID   : QwnmAEAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: sage_checker4ply_cub (Cube: 8)
 |                  |   |    O     O  O  O | O   4 points
 |                  |   |    O     O  O  O | O   
 |                  |   |    O        O  O | O   
 |                  |   |                  | O   
 |                  |   |                  |    
v|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   |                  |     
 |                  |   | X  X             |     
 |                  |   | X  X  X  X  X  X |     Rolled 41
 |             X    |   | X  X  X  X  X  X |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 30, X 61

* gnubg_checker3ply_cube2ply moves 8/4 1/off

Rolled 41 (-0.027):
*    1. Cubeful 4-ply    8/4 1/off                    Eq.: -0.961
       0.019 0.000 0.000 - 0.981 0.000 0.000
     2. Cubeful 4-ply    8/4 6/5                      Eq.: -0.979 (-0.018)
       0.010 0.000 0.000 - 0.990 0.000 0.000
     3. Cubeful 4-ply    8/4 5/4                      Eq.: -0.982 (-0.021)
       0.009 0.000 0.000 - 0.991 0.000 0.000
     4. Cubeful 4-ply    8/3                          Eq.: -0.983 (-0.022)
       0.009 0.000 0.000 - 0.991 0.000 0.000
     5. Cubeful 2-ply    8/4 3/2                      Eq.: -0.983 (-0.022)
       0.009 0.000 0.000 - 0.991 0.000 0.000


Move number 48:  sage_checker4ply_cube3ply to play 11

 GNU Backgammon  Position ID: bXcHAIC7OQAAAA
                 Match ID   : A4HkAEAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: sage_checker4ply_cub (Cube: 8)
 |                  |   |    O     O  O  O | O   4 points
 |                  |   |    O     O  O  O | O   Rolled 11
 |                  |   |    O        O  O | O   
 |                  |   |                  | O   
 |                  |   |                  |    
^|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   |                  |     
 |                  |   | X  X  X          |     
 |                  |   | X  X  X  X  X    |     
 |                  |   | X  X  X  X  X  X | X   0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 30, X 56

* sage_checker4ply_cube3ply moves 5/4 1/off(3)

Rolled 11 (+0.013):
*    1. Cubeful 4-ply    5/4 1/off(3)                 Eq.: +0.974
       0.987 0.000 0.000 - 0.013 0.000 0.000
     2. Cubeful 4-ply    2/off 1/off(2)               Eq.: +0.972 (-0.003)
       0.986 0.000 0.000 - 0.014 0.000 0.000
     3. Cubeful 4-ply    5/4 2/off 1/off              Eq.: +0.968 (-0.006)
       0.984 0.000 0.000 - 0.016 0.000 0.000
     4. Cubeful 4-ply    5/4(2) 1/off(2)              Eq.: +0.968 (-0.006)
       0.984 0.000 0.000 - 0.016 0.000 0.000
     5. Cubeful 2-ply    3/2 1/off(3)                 Eq.: +0.962 (-0.013)
       0.981 0.000 0.000 - 0.019 0.000 0.000


Move number 49:  gnubg_checker3ply_cube2ply to play 52

 GNU Backgammon  Position ID: bg0AANruDgAAAA
                 Match ID   : Q4nqAEAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: sage_checker4ply_cub (Cube: 8)
 |                  |   |    O  O  O  O    | OO  4 points
 |                  |   |    O     O  O    | OO  
 |                  |   |             O    | O   
 |                  |   |                  | O   
 |                  |   |                  | O  
v|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   |                  |     
 |                  |   | X  X  X          |     
 |                  |   | X  X  X  X  X    |     Rolled 52
 |                  |   | X  X  X  X  X  X | X   0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 26, X 56

* gnubg_checker3ply_cube2ply moves 5/off 2/off

Rolled 52 (-0.009):
*    1. Cubeful 4-ply    5/off 2/off                  Eq.: -0.983
       0.008 0.000 0.000 - 0.992 0.000 0.000
     2. Cubeful 4-ply    6/4 5/off                    Eq.: -0.994 (-0.011)
       0.003 0.000 0.000 - 0.997 0.000 0.000
     3. Cubeful 4-ply    6/1 2/off                    Eq.: -0.994 (-0.011)
       0.003 0.000 0.000 - 0.997 0.000 0.000
     4. Cubeful 4-ply    5/3 5/off                    Eq.: -0.994 (-0.011)
       0.003 0.000 0.000 - 0.997 0.000 0.000
     5. Cubeful 2-ply    5/off 3/1                    Eq.: -0.995 (-0.011)
       0.003 0.000 0.000 - 0.997 0.000 0.000


Move number 50:  sage_checker4ply_cube3ply to play 43

 GNU Backgammon  Position ID: tdsBAMCtAQAAAA
                 Match ID   : AwHuAEAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: sage_checker4ply_cub (Cube: 8)
 |                  |   |    O  O  O  O    | OO  4 points
 |                  |   |    O     O  O    | OO  Rolled 43
 |                  |   |             O    | O   
 |                  |   |                  | O   
 |                  |   |                  | O  
^|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   |                  |     
 |                  |   | X     X          | X   
 |                  |   | X  X  X  X       | X   
 |                  |   | X  X  X  X  X  X | X   0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 26, X 49

* sage_checker4ply_cube3ply moves 4/off 3/off

Rolled 43 (+0.000):
*    1. Cubeful 4-ply    4/off 3/off                  Eq.: +0.983
       0.992 0.000 0.000 - 0.008 0.000 0.000
     2. Cubeful 4-ply    5/1 3/off                    Eq.: +0.981 (-0.002)
       0.991 0.000 0.000 - 0.009 0.000 0.000
     3. Cubeful 4-ply    5/2 4/off                    Eq.: +0.970 (-0.013)
       0.985 0.000 0.000 - 0.015 0.000 0.000
     4. Cubeful 4-ply    5/1 4/1                      Eq.: +0.959 (-0.024)
       0.980 0.000 0.000 - 0.020 0.000 0.000
     5. Cubeful 2-ply    5/2 5/1                      Eq.: +0.954 (-0.029)
       0.977 0.000 0.000 - 0.023 0.000 0.000


Move number 51:  gnubg_checker3ply_cube2ply to play 42

 GNU Backgammon  Position ID: LgMAgNrtAAAAAA
                 Match ID   : QwnqAEAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: sage_checker4ply_cub (Cube: 8)
 |                  |   |    O     O  O    | OO  4 points
 |                  |   |    O        O    | OO  
 |                  |   |             O    | OO  
 |                  |   |                  | OO  
 |                  |   |                  | O  
v|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   |                  |     
 |                  |   | X     X          | X   
 |                  |   | X  X  X  X       | X   Rolled 42
 |                  |   | X  X  X  X  X  X | X   0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 19, X 49

* gnubg_checker3ply_cube2ply moves 4/off 2/off

Rolled 42 (-0.009):
*    1. Cubeful 4-ply    4/off 2/off                  Eq.: -0.992
       0.004 0.000 0.000 - 0.996 0.000 0.000
     2. Cubeful 4-ply    6/off                        Eq.: -0.998 (-0.006)
       0.001 0.000 0.000 - 0.999 0.000 0.000
     3. Cubeful 4-ply    4/2 4/off                    Eq.: -0.998 (-0.006)
       0.001 0.000 0.000 - 0.999 0.000 0.000
     4. Cubeful 4-ply    5/3 4/off                    Eq.: -0.998 (-0.006)
       0.001 0.000 0.000 - 0.999 0.000 0.000
     5. Cubeful 2-ply    5/1 2/off                    Eq.: -0.998 (-0.006)
       0.001 0.000 0.000 - 0.999 0.000 0.000


Move number 52:  sage_checker4ply_cube3ply to play 63

 GNU Backgammon  Position ID: 2XYAAHAZAAAAAA
                 Match ID   : AwHvAEAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: sage_checker4ply_cub (Cube: 8)
 |                  |   |    O     O  O    | OO  4 points
 |                  |   |    O        O    | OO  Rolled 63
 |                  |   |             O    | OO  
 |                  |   |                  | OO  
 |                  |   |                  | O  
^|                  |BAR|                  |     7 points match
 |                  |   |                  | X  
 |                  |   |                  | X   
 |                  |   | X                | X   
 |                  |   | X  X  X  X       | X   
 |                  |   | X  X  X  X     X | X   0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 19, X 43

* sage_checker4ply_cube3ply moves 5/off 3/off

Rolled 63 (+0.003):
*    1. Cubeful 4-ply    5/off 3/off                  Eq.: +0.995
       0.998 0.000 0.000 - 0.002 0.000 0.000
     2. Cubeful 4-ply    5/2 5/off                    Eq.: +0.992 (-0.003)
       0.996 0.000 0.000 - 0.004 0.000 0.000


Move number 53:  gnubg_checker3ply_cube2ply to play 22

 GNU Backgammon  Position ID: jgAAINsOAAAAAA
                 Match ID   : QwnpAEAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: sage_checker4ply_cub (Cube: 8)
 |                  |   |    O        O    | OOO 4 points
 |                  |   |             O    | OO  
 |                  |   |             O    | OO  
 |                  |   |                  | OO  
 |                  |   |                  | OO 
v|                  |BAR|                  |     7 points match
 |                  |   |                  | X  
 |                  |   |                  | X   
 |                  |   | X                | X   
 |                  |   | X  X  X  X       | X   Rolled 22
 |                  |   | X  X  X  X     X | X   0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 11, X 43

* gnubg_checker3ply_cube2ply moves 4/off(2)

Rolled 22 (-0.003):
*    1. Cubeful 4-ply    4/off(2)                     Eq.: -0.998
       0.001 0.000 0.000 - 0.999 0.000 0.000
     2. Cubeful 4-ply    6/off 6/4                    Eq.: -1.000 (-0.002)
       0.000 0.000 0.000 - 1.000 0.000 0.000
     3. Cubeful 4-ply    6/2 6/4(2)                   Eq.: -1.000 (-0.002)
       0.000 0.000 0.000 - 1.000 0.000 0.000
     4. Cubeful 4-ply    6/4(3) 5/3                   Eq.: -1.000 (-0.002)
       0.000 0.000 0.000 - 1.000 0.000 0.000
     5. Cubeful 2-ply    6/4(3) 3/1                   Eq.: -1.000 (-0.002)
       0.000 0.000 0.000 - 1.000 0.000 0.000


Move number 54:  sage_checker4ply_cube3ply to play 61

 GNU Backgammon  Position ID: mR0AABwBAAAAAA
                 Match ID   : AwHnAEAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: sage_checker4ply_cub (Cube: 8)
 |                  |   |    O        O    | OOO 4 points
 |                  |   |             O    | OO  Rolled 61
 |                  |   |             O    | OO  
 |                  |   |                  | OO  
 |                  |   |                  | OO 
^|                  |BAR|                  |     7 points match
 |                  |   |                  | X  
 |                  |   |                  | X   
 |                  |   | X                | X   
 |                  |   | X  X     X       | XX  
 |                  |   | X  X     X     X | XX  0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 11, X 35

* sage_checker4ply_cube3ply moves 5/off

Rolled 61 (-0.001):
     1. Cubeful 4-ply    5/off 2/1                    Eq.: +0.997
       0.999 0.000 0.000 - 0.001 0.000 0.000
*    2. Cubeful 4-ply    5/off                        Eq.: +0.997 (-0.000)
       0.999 0.000 0.000 - 0.001 0.000 0.000


Move number 55:  gnubg_checker3ply_cube2ply to play 62

 GNU Backgammon  Position ID: DgAAkNkBAAAAAA
                 Match ID   : QwnrAEAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: sage_checker4ply_cub (Cube: 8)
 |                  |   |             O    | OOO 4 points
 |                  |   |             O    | OOO 
 |                  |   |             O    | OO  
 |                  |   |                  | OO  
 |                  |   |                  | OO 
v|                  |BAR|                  |     7 points match
 |                  |   |                  | X  
 |                  |   |                  | X   
 |                  |   | X                | X   
 |                  |   | X  X     X       | XX  Rolled 62
 |                  |   | X  X     X     X | XX  0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 6, X 35

* gnubg_checker3ply_cube2ply moves 6/4 6/off

Rolled 62 (-0.003):
*    1. Cubeful 4-ply    6/4 6/off                    Eq.: -1.000
       0.000 0.000 0.000 - 1.000 0.000 0.000
     2. Cubeful 4-ply    6/off 5/3                    Eq.: -1.000 (-0.000)
       0.000 0.000 0.000 - 1.000 0.000 0.000
     3. Cubeful 4-ply    6/off 3/1                    Eq.: -1.000 (-0.000)
       0.000 0.000 0.000 - 1.000 0.000 0.000


Move number 56:  sage_checker4ply_cube3ply to play 43

 GNU Backgammon  Position ID: WQsAAA4AAAAAAA
                 Match ID   : AwHuAEAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: sage_checker4ply_cub (Cube: 8)
 |                  |   |             O    | OOO 4 points
 |                  |   |             O    | OOO Rolled 43
 |                  |   |             O    | OO  
 |                  |   |                  | OO  
 |                  |   |                  | OO 
^|                  |BAR|                  |     7 points match
 |                  |   |                  | X  
 |                  |   |                  | X   
 |                  |   |                  | XX  
 |                  |   |    X     X       | XX  
 |                  |   | X  X  X  X     X | XX  0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 6, X 27

* sage_checker4ply_cube3ply moves 2/off(2)

Rolled 43 (+0.000):
*    1. Cubeful 0-ply    2/off(2)                     Eq.: +1.000
       1.000 0.000 0.000 - 0.000 0.000 0.000


sage_checker4ply_cube3ply wins 8 points

Game statistics for game 2

Player                                   sage_checker4ply_cube3ply gnubg_checker3ply_cube2ply

Chequerplay statistics

Total moves                               25                      25                    
Unforced moves                            24                      24                    
Unmarked moves                            25                      25                    
Moves marked doubtful                      0                       0                    
Moves marked bad                           0                       0                    
Moves marked very bad                      0                       0                    
Error total EMG (MWC)                         -0.000 ( -0.000%)       -0.002 ( -0.021%) 
Error rate mEMG (MWC)                         -0.0   ( -0.000%)       -0.1   ( -0.001%) 
Chequerplay rating                       Supernatural            Supernatural           


Luck statistics

Rolls marked very lucky                    0                       0                    
Rolls marked lucky                         1                       0                    
Rolls unmarked                            24                      25                    
Rolls marked unlucky                       0                       0                    
Rolls marked very unlucky                  0                       0                    
Luck total EMG (MWC)                          +0.367 ( +5.766%)       -0.929 (-19.919%) 
Luck rate mEMG (MWC)                         +14.7   ( +0.231%)      -37.1   ( -0.797%) 
Luck rating                              None                    Bad dice, man!         


Cube statistics

Total cube decisions                      21                       7                    
Close or actual cube decisions             4                       5                    
Doubles                                    1                       2                    
Takes                                      2                       1                    
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)                         -0.000 ( -0.000%)       -0.002 ( -0.021%) 
Error rate mEMG (MWC)                         -0.0   ( -0.000%)       -0.1   ( -0.001%) 
Snowie error rate                             -0.0   ( +0.000%)       -0.0   ( +0.000%) 
Overall rating                           Supernatural            Supernatural           
Actual result                             +23.79%                 -23.79%               
Luck adjusted result                       -1.89%                  +1.89%               
Luck based FIBS rating diff.              -24.89                                        
Error based abs. FIBS rating             2050.0                  2049.2                 
Chequerplay errors rating loss              0.0                     0.8                 
Cube errors rating loss                     0.0                     0.0                 




Match statistics

Player                                   sage_checker4ply_cube3ply gnubg_checker3ply_cube2ply

Chequerplay statistics

Total moves                               52                      51                    
Unforced moves                            50                      49                    
Unmarked moves                            52                      51                    
Moves marked doubtful                      0                       0                    
Moves marked bad                           0                       0                    
Moves marked very bad                      0                       0                    
Error total EMG (MWC)                         -0.001 ( -0.006%)       -0.009 ( -0.115%) 
Error rate mEMG (MWC)                         -0.0   ( -0.000%)       -0.2   ( -0.002%) 
Chequerplay rating                       Supernatural            Supernatural           


Luck statistics

Rolls marked very lucky                    2                       1                    
Rolls marked lucky                         2                       1                    
Rolls unmarked                            48                      48                    
Rolls marked unlucky                       0                       0                    
Rolls marked very unlucky                  0                       1                    
Luck total EMG (MWC)                          +0.734 (+21.735%)       -1.536 (-30.049%) 
Luck rate mEMG (MWC)                         +14.1   ( +0.418%)      -30.1   ( -0.589%) 
Luck rating                              None                    Bad dice, man!         


Cube statistics

Total cube decisions                      48                      19                    
Close or actual cube decisions             7                       8                    
Doubles                                    2                       3                    
Takes                                      3                       2                    
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)                         -0.001 ( -0.006%)       -0.009 ( -0.115%) 
Error rate mEMG (MWC)                         -0.0   ( -0.000%)       -0.2   ( -0.002%) 
Snowie error rate                             -0.0   ( +0.000%)       -0.1   ( +0.000%) 
Overall rating                           Supernatural            Supernatural           
Actual result                             +50.00%                 -50.00%               
Luck adjusted result                       -1.78%                  +1.78%               
Luck based FIBS rating diff.              -23.43                                        
Error based abs. FIBS rating             2049.7                  2047.7                 
Chequerplay errors rating loss              0.3                     2.3                 
Cube errors rating loss                     0.0                     0.0                 




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

