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

Match Information:
Date: 2026-07-17

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:
*    1. Cubeful 3-ply    13/9 13/8                    Eq.: +0.239
       0.501 0.153 0.007 - 0.499 0.136 0.007
     2. Cubeful 3-ply    24/20 13/8                   Eq.: +0.232 (-0.008)
       0.508 0.135 0.006 - 0.492 0.125 0.005
     3. Cubeful 2-ply    24/15                        Eq.: +0.181 (-0.059)
       0.504 0.124 0.005 - 0.496 0.135 0.005
     4. Cubeful 2-ply    13/4                         Eq.: +0.141 (-0.098)
       0.483 0.138 0.007 - 0.517 0.143 0.008
     5. Cubeful 2-ply    13/8 6/2                     Eq.: +0.090 (-0.149)
       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*

Rolled 53:
*    24/16*


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
2-ply cubeless equity -0.122 (Money: -0.116)
  0.454 0.125 0.005 - 0.546 0.146 0.008
Cubeful equities:
1. No double           +0.033
2. Double, pass        +1.000  (+0.967)
3. Double, take        -0.135  (-0.168)
Proper cube action: No double, take (14.8%)

Rolled 54:
*    1. Cubeful 3-ply    bar/20 24/20                 Eq.: +0.168
       0.483 0.134 0.003 - 0.517 0.091 0.002
     2. Cubeful 3-ply    bar/20 13/9*                 Eq.: +0.152 (-0.016)
       0.481 0.142 0.007 - 0.519 0.139 0.009
     3. Cubeful 0-ply    bar/16                       Eq.: -0.060 (-0.228)
       0.431 0.112 0.005 - 0.569 0.152 0.009
     4. Cubeful 0-ply    bar/21 6/1*                  Eq.: -0.078 (-0.245)
       0.425 0.113 0.005 - 0.575 0.156 0.011
     5. Cubeful 0-ply    bar/21 13/8                  Eq.: -0.084 (-0.252)
       0.422 0.110 0.005 - 0.578 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

Rolled 53:
*    24/16


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
2-ply cubeless equity -0.029 (Money: -0.025)
  0.465 0.118 0.001 - 0.535 0.074 0.001
Cubeful equities:
1. No double           +0.093
2. Double, pass        +1.000  (+0.907)
3. Double, take        -0.080  (-0.173)
Proper cube action: No double, take (16.0%)

Rolled 53:
*    1. Cubeful 3-ply    8/3 6/3                      Eq.: +0.111
       0.465 0.127 0.002 - 0.535 0.077 0.002
     2. Cubeful 3-ply    8/5 8/3                      Eq.: +0.083 (-0.028)
       0.457 0.126 0.002 - 0.543 0.079 0.002
     3. Cubeful 2-ply    13/5                         Eq.: +0.081 (-0.030)
       0.463 0.116 0.003 - 0.537 0.081 0.003
     4. Cubeful 2-ply    13/8 6/3                     Eq.: +0.037 (-0.073)
       0.453 0.108 0.002 - 0.547 0.084 0.003
     5. Cubeful 2-ply    8/5 6/1                      Eq.: +0.024 (-0.087)
       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

Rolled 54:
*    13/9 13/8


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
2-ply cubeless equity +0.019 (Money: +0.024)
  0.487 0.139 0.003 - 0.513 0.089 0.003
Cubeful equities:
1. No double           +0.188
2. Double, pass        +1.000  (+0.812)
3. Double, take        +0.055  (-0.133)
Proper cube action: No double, take (14.1%)

Rolled 42:
*    1. Cubeful 3-ply    24/22 20/16*                 Eq.: +0.344
       0.528 0.155 0.005 - 0.472 0.101 0.004
     2. Cubeful 3-ply    20/16* 13/11                 Eq.: +0.317 (-0.027)
       0.512 0.176 0.007 - 0.488 0.126 0.007
     3. Cubeful 2-ply    20/16*/14                    Eq.: +0.281 (-0.063)
       0.514 0.159 0.005 - 0.486 0.112 0.004
     4. Cubeful 2-ply    20/16* 8/6                   Eq.: +0.274 (-0.070)
       0.511 0.163 0.005 - 0.489 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

Rolled 62:
*    bar/23 8/2


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
2-ply cubeless equity +0.155 (Money: +0.160)
  0.546 0.165 0.005 - 0.454 0.099 0.003
Cubeful equities:
1. No double           +0.406
2. Double, pass        +1.000  (+0.594)
3. Double, take        +0.368  (-0.038)
Proper cube action: No double, take (6.0%)

Rolled 31:
*    1. Cubeful 0-ply    8/5 6/5                      Eq.: +0.416
       0.543 0.193 0.007 - 0.457 0.117 0.005
     2. Cubeful 0-ply    6/2*                         Eq.: +0.189 (-0.228)
       0.493 0.151 0.004 - 0.507 0.138 0.007
     3. Cubeful 0-ply    22/21 16/13                  Eq.: +0.180 (-0.237)
       0.495 0.136 0.003 - 0.505 0.122 0.003
     4. Cubeful 0-ply    16/13 6/5                    Eq.: +0.147 (-0.269)
       0.484 0.141 0.004 - 0.516 0.139 0.006
     5. Cubeful 0-ply    16/13 8/7                    Eq.: +0.142 (-0.274)
       0.482 0.142 0.003 - 0.518 0.136 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

Rolled 64:
*    13/9* 8/2


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

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

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:
*    1. Cubeful 2-ply    bar/24 22/20                 Eq.: +0.290
       0.568 0.207 0.007 - 0.432 0.096 0.003
     2. Cubeful 2-ply    bar/22                       Eq.: +0.249 (-0.041)
       0.553 0.201 0.008 - 0.447 0.119 0.004
     3. Cubeful 0-ply    bar/24 20/18                 Eq.: +0.099 (-0.191)
       0.501 0.184 0.010 - 0.499 0.206 0.010
     4. Cubeful 0-ply    bar/24 13/11                 Eq.: +0.048 (-0.242)
       0.483 0.178 0.009 - 0.517 0.220 0.014
     5. Cubeful 0-ply    bar/24 6/4                   Eq.: +0.010 (-0.280)
       0.472 0.170 0.009 - 0.528 0.241 0.016


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

Rolled 53:
*    23/18 9/6


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:
*    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 0-ply    20/16 13/8                   Eq.: +0.048 (-0.204)
       0.487 0.165 0.005 - 0.513 0.172 0.007
     5. Cubeful 0-ply    24/20 13/8                   Eq.: +0.039 (-0.213)
       0.498 0.112 0.002 - 0.502 0.049 0.001


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

Rolled 41:
*    18/13


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:
*    1. Cubeful 3-ply    6/1 4/1                      Eq.: +0.040
       0.483 0.152 0.002 - 0.517 0.082 0.002
     2. Cubeful 3-ply    8/5 8/3                      Eq.: +0.035 (-0.005)
       0.482 0.152 0.002 - 0.518 0.092 0.003
     3. Cubeful 2-ply    8/5 6/1                      Eq.: +0.045 (+0.005)
       0.485 0.155 0.002 - 0.515 0.095 0.004
     4. Cubeful 2-ply    13/10 13/8                   Eq.: +0.013 (-0.027)
       0.480 0.128 0.003 - 0.520 0.076 0.002
     5. Cubeful 2-ply    8/3 4/1                      Eq.: -0.017 (-0.058)
       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

Rolled 32:
*    13/8


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:
*    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 0.076 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*

Rolled 54:
*    6/2 6/1*


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:
*    1. Cubeful 2-ply    bar/22 20/16                 Eq.: +0.042
       0.490 0.150 0.001 - 0.510 0.131 0.003
     2. Cubeful 2-ply    bar/18                       Eq.: -0.030 (-0.072)
       0.473 0.109 0.001 - 0.527 0.081 0.001
     3. Cubeful 2-ply    bar/21 13/10                 Eq.: -0.073 (-0.115)
       0.445 0.131 0.001 - 0.555 0.118 0.003
     4. Cubeful 0-ply    bar/22 5/1                   Eq.: -0.162 (-0.204)
       0.420 0.097 0.001 - 0.580 0.104 0.002
     5. Cubeful 0-ply    bar/22 6/2                   Eq.: -0.174 (-0.216)
       0.416 0.096 0.001 - 0.584 0.105 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

Rolled 11:
*    8/7 6/5*(2) 2/1


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:
*    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

Rolled 32:
*    16/13 7/5


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:
*    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 0-ply    bar/15                       Eq.: -0.619 (-0.289)
       0.255 0.072 0.001 - 0.745 0.397 0.012
     4. Cubeful 0-ply    bar/21 13/7                  Eq.: -0.636 (-0.306)
       0.247 0.069 0.001 - 0.753 0.393 0.028


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

Rolled 65:
*    16/5


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:
*    1. Cubeful 2-ply    13/9 13/8                    Eq.: -0.483
       0.303 0.032 0.000 - 0.697 0.102 0.001
     2. Cubeful 2-ply    13/4                         Eq.: -0.532 (-0.050)
       0.286 0.039 0.000 - 0.714 0.183 0.002
     3. Cubeful 2-ply    21/16 13/9                   Eq.: -0.567 (-0.084)
       0.267 0.017 0.000 - 0.733 0.072 0.000
     4. Cubeful 2-ply    16/7                         Eq.: -0.591 (-0.109)
       0.262 0.030 0.000 - 0.738 0.173 0.002
     5. Cubeful 0-ply    21/16 6/2                    Eq.: -0.615 (-0.132)
       0.245 0.004 0.000 - 0.755 0.020 0.000


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

Rolled 53:
*    13/8 5/2


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:
*    1. Cubeful 3-ply    21/11                        Eq.: -0.441
       0.322 0.006 0.000 - 0.678 0.005 0.000
     2. Cubeful 3-ply    9/3 8/4                      Eq.: -0.491 (-0.050)
       0.299 0.026 0.000 - 0.701 0.072 0.001
     3. Cubeful 2-ply    16/10 8/4                    Eq.: -0.469 (-0.028)
       0.304 0.051 0.001 - 0.696 0.140 0.004
     4. Cubeful 2-ply    9/5 8/2                      Eq.: -0.481 (-0.040)
       0.304 0.024 0.000 - 0.696 0.067 0.001
     5. Cubeful 2-ply    21/15 8/4                    Eq.: -0.488 (-0.047)
       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

Rolled 32:
*    6/4 6/3


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:
*    1. Cubeful 3-ply    11/10 8/4                    Eq.: -0.425
       0.329 0.006 0.000 - 0.671 0.004 0.000
     2. Cubeful 3-ply    8/4 5/4                      Eq.: -0.429 (-0.003)
       0.327 0.006 0.000 - 0.673 0.004 0.000
     3. Cubeful 2-ply    9/4                          Eq.: -0.417 (+0.008)
       0.335 0.006 0.000 - 0.665 0.005 0.000
     4. Cubeful 2-ply    11/7 5/4                     Eq.: -0.429 (-0.003)
       0.330 0.005 0.000 - 0.670 0.005 0.000
     5. Cubeful 2-ply    8/4 6/5                      Eq.: -0.432 (-0.006)
       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

Rolled 53:
*    8/5 8/3


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:
*    1. Cubeful 3-ply    10/7 9/8                     Eq.: -0.451
       0.314 0.008 0.000 - 0.686 0.006 0.000
     2. Cubeful 3-ply    10/7 5/4                     Eq.: -0.451 (-0.000)
       0.314 0.008 0.000 - 0.686 0.006 0.000
     3. Cubeful 2-ply    9/5                          Eq.: -0.463 (-0.012)
       0.314 0.006 0.000 - 0.686 0.005 0.000
     4. Cubeful 2-ply    10/6                         Eq.: -0.465 (-0.014)
       0.312 0.007 0.000 - 0.688 0.005 0.000
     5. Cubeful 2-ply    9/6 5/4                      Eq.: -0.467 (-0.016)
       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

Rolled 22:
*    13/11(2) 5/1


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:
*    1. Cubeful 3-ply    16/10 7/4                    Eq.: -0.684
       0.206 0.006 0.000 - 0.794 0.008 0.000
     2. Cubeful 3-ply    8/2 7/4                      Eq.: -0.694 (-0.011)
       0.201 0.002 0.000 - 0.799 0.002 0.000
     3. Cubeful 2-ply    16/10 8/5                    Eq.: -0.719 (-0.035)
       0.199 0.005 0.000 - 0.801 0.009 0.000
     4. Cubeful 2-ply    8/5 7/1                      Eq.: -0.726 (-0.042)
       0.194 0.001 0.000 - 0.806 0.002 0.000
     5. Cubeful 2-ply    16/7                         Eq.: -0.743 (-0.059)
       0.188 0.004 0.000 - 0.812 0.009 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

Rolled 63:
*    11/8 11/5


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:
*    1. Cubeful 3-ply    16/14 8/6                    Eq.: -0.878
       0.118 0.000 0.000 - 0.882 0.000 0.000
     2. Cubeful 3-ply    16/15 8/5                    Eq.: -0.880 (-0.002)
       0.117 0.000 0.000 - 0.883 0.000 0.000
     3. Cubeful 2-ply    10/9 8/5                     Eq.: -0.906 (-0.028)
       0.117 0.000 0.000 - 0.883 0.000 0.000
     4. Cubeful 2-ply    16/15 10/9 8/6               Eq.: -0.909 (-0.030)
       0.115 0.000 0.000 - 0.885 0.000 0.000
     5. Cubeful 2-ply    10/6                         Eq.: -0.909 (-0.030)
       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

Rolled 52:
*    8/6 8/3


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:
*    1. Cubeful 3-ply    14/11 10/6                   Eq.: -0.971
       0.096 0.000 0.000 - 0.904 0.000 0.000
     2. Cubeful 3-ply    14/7                         Eq.: -1.000 (-0.029)
       0.086 0.000 0.000 - 0.914 0.000 0.000
     3. Cubeful 2-ply    10/3                         Eq.: -1.000 (-0.029)
       0.079 0.000 0.000 - 0.921 0.000 0.000
     4. Cubeful 2-ply    14/10 6/3                    Eq.: -1.000 (-0.029)
       0.079 0.000 0.000 - 0.921 0.000 0.000
     5. Cubeful 2-ply    14/11 6/2                    Eq.: -1.000 (-0.029)
       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
2-ply cubeless equity +0.807 (Money: +0.807)
  0.904 0.000 0.000 - 0.096 0.000 0.000
Cubeful equities:
1. Double, take        +0.971
2. Double, pass        +1.000  (+0.029)
3. No double           +0.942  (-0.030)
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
2-ply cubeless equity -0.807 (Money: -0.807)
  0.096 0.000 0.000 - 0.904 0.000 0.000
Cubeful equities:
1. Double, take        -0.971
2. Double, pass        -1.000  (-0.029)
3. No double           -0.942  (+0.030)
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:
*    6/off 4/off


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

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

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:
*    1. Cubeful 3-ply    11/8 6/5                     Eq.: -0.908
       0.046 0.000 0.000 - 0.954 0.000 0.000
     2. Cubeful 3-ply    11/7                         Eq.: -0.918 (-0.010)
       0.041 0.000 0.000 - 0.959 0.000 0.000
     3. Cubeful 2-ply    11/10 6/3                    Eq.: -0.919 (-0.010)
       0.041 0.000 0.000 - 0.959 0.000 0.000
     4. Cubeful 2-ply    11/8 5/4                     Eq.: -0.920 (-0.011)
       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:
*    5/off 3/off


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


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


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


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


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


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                             0                      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%)       -0.000 ( -0.000%) 
Error rate mEMG (MWC)                         -0.0   ( -0.000%)       -0.0   ( -0.000%) 
Chequerplay rating                       n/a                     Supernatural           


Luck statistics

Rolls marked very lucky                    0                       0                    
Rolls marked lucky                         0                       0                    
Rolls unmarked                             0                       0                    
Rolls marked unlucky                       0                       0                    
Rolls marked very unlucky                  0                       0                    
Luck total EMG (MWC)                          +0.000 ( +0.000%)       +0.000 ( +0.000%) 
Luck rate mEMG (MWC)                          +0.0   ( +0.000%)       +0.0   ( +0.000%) 
Luck rating                              None                    None                   


Cube statistics

Total cube decisions                       1                       5                    
Close or actual cube decisions             1                       3                    
Doubles                                    1                       0                    
Takes                                      0                       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%)       -0.000 ( -0.000%) 
Error rate mEMG (MWC)                         -0.0   ( -0.000%)       -0.0   ( -0.000%) 
Snowie error rate                             -0.0   ( +0.000%)       -0.0   ( +0.000%) 
Overall rating                           Supernatural            Supernatural           
Actual result                             +23.79%                 -23.79%               
Luck adjusted result                      +23.79%                 -23.79%               
Luck based FIBS rating diff.             +339.83                                        
Error based abs. FIBS rating             2050.0                  2050.0                 
Chequerplay errors rating loss           n/a                        0.0                 
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                             1                      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)                         -0.000 ( -0.000%)       -0.000 ( -0.000%) 
Error rate mEMG (MWC)                         -0.0   ( -0.000%)       -0.0   ( -0.000%) 
Chequerplay rating                       Supernatural            Supernatural           


Luck statistics

Rolls marked very lucky                    0                       0                    
Rolls marked lucky                         0                       0                    
Rolls unmarked                             0                       0                    
Rolls marked unlucky                       0                       0                    
Rolls marked very unlucky                  0                       0                    
Luck total EMG (MWC)                          +0.000 ( +0.000%)       +0.000 ( +0.000%) 
Luck rate mEMG (MWC)                          +0.0   ( +0.000%)       +0.0   ( +0.000%) 
Luck rating                              None                    None                   


Cube statistics

Total cube decisions                       2                      12                    
Close or actual cube decisions             2                       6                    
Doubles                                    2                       0                    
Takes                                      0                       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)                         -0.000 ( -0.000%)       -0.000 ( -0.000%) 
Error rate mEMG (MWC)                         -0.0   ( -0.000%)       -0.0   ( -0.000%) 
Snowie error rate                             -0.0   ( +0.000%)       -0.0   ( +0.000%) 
Overall rating                           Supernatural            Supernatural           
Actual result                             +50.00%                 -50.00%               
Luck adjusted result                      +50.00%                 -50.00%               
Luck based FIBS rating diff.             n/a                                            
Error based abs. FIBS rating             2050.0                  2050.0                 
Chequerplay errors rating loss              0.0                     0.0                 
Cube errors rating loss                     0.0                     0.0                 




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

