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

Match Information:
Date: 2026-07-17

Move number 1:  sage_checker4ply_cube3ply to play 43

 GNU Backgammon  Position ID: 4HPwATDgc/ABMA
                 Match ID   : MADuAAAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: sage_checker4ply_cube3ply
 | X           O    |   | O              X |     0 points
 | X           O    |   | O              X |     Rolled 43
 | X           O    |   | O                |     
 | X                |   | O                |     
 | X                |   | O                |    
^|                  |BAR|                  |     7 points match (Cube: 1)
 | O                |   | X                |    
 | O                |   | X                |     
 | O           X    |   | X                |     
 | O           X    |   | X              O |     
 | O           X    |   | X              O |     0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 167, X 167

* sage_checker4ply_cube3ply moves 24/21 13/9

Rolled 43:
*    1. Cubeful 2-ply    24/21 13/9                   Eq.: +0.005
       0.499 0.139 0.007 - 0.501 0.133 0.006
     2. Cubeful 2-ply    13/10 13/9                   Eq.: +0.004 (-0.001)
       0.496 0.155 0.009 - 0.504 0.141 0.008
     3. Cubeful 2-ply    24/20 13/10                  Eq.: +0.004 (-0.001)
       0.500 0.136 0.006 - 0.500 0.132 0.006
     4. Cubeful 2-ply    24/21 24/20                  Eq.: -0.011 (-0.016)
       0.500 0.124 0.006 - 0.500 0.132 0.004
     5. Cubeful 2-ply    13/9 8/5                     Eq.: -0.074 (-0.079)
       0.481 0.141 0.008 - 0.519 0.151 0.011


Move number 2:  gnubg_checker3ply_cube2ply to play 61

 GNU Backgammon  Position ID: 4HPhASLgc/ABMA
                 Match ID   : cAnnAAAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: sage_checker4ply_cube3ply
 | X        O  O    |   | O              X |     0 points
 | X           O    |   | O              X |     
 | X           O    |   | O                |     
 | X                |   | O                |     
 | X                |   | O                |    
v|                  |BAR|                  |     7 points match (Cube: 1)
 |                  |   | X                |    
 | O                |   | X                |     
 | O           X    |   | X                |     
 | O           X    |   | X                |     Rolled 61
 | O           X    |   | X     O        O |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 160, X 167

* gnubg_checker3ply_cube2ply moves 13/7 8/7

Rolled 61:
*    1. Cubeful 2-ply    13/7 8/7                     Eq.: -0.103
       0.478 0.119 0.004 - 0.522 0.148 0.007
     2. Cubeful 2-ply    24/23 24/18                  Eq.: -0.247 (-0.145)
       0.447 0.102 0.004 - 0.553 0.175 0.006
     3. Cubeful 0-ply    13/6                         Eq.: -0.269 (-0.166)
       0.432 0.112 0.005 - 0.568 0.164 0.009
     4. Cubeful 0-ply    24/23 13/7                   Eq.: -0.281 (-0.179)
       0.434 0.104 0.004 - 0.566 0.170 0.010
     5. Cubeful 0-ply    8/1*                         Eq.: -0.326 (-0.224)
       0.420 0.106 0.004 - 0.580 0.172 0.012


Move number 3:  sage_checker4ply_cube3ply to play 22

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

* sage_checker4ply_cube3ply moves 13/9 6/4(2)

Rolled 22:
*    13/9 6/4(2)


Move number 4:  gnubg_checker3ply_cube2ply to play 51

 GNU Backgammon  Position ID: mHPDASLg2+ABMA
                 Match ID   : cInmAAAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: sage_checker4ply_cube3ply
 | X        O  O    |   | O     O        X |     0 points
 | X        O  O    |   | O     O        X |     
 | X           O    |   | O                |     
 | X                |   |                  |     
 |                  |   |                  |    
v|                  |BAR|                  |     7 points match (Cube: 1)
 |                  |   | X                |    
 |                  |   | X                |     
 | O                |   | X                |     
 | O           X  X |   | X                |     Rolled 51
 | O           X  X |   | X     O        O |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 152, X 160

* gnubg_checker3ply_cube2ply moves 24/23 13/8

Rolled 51:
*    1. Cubeful 2-ply    24/23 13/8                   Eq.: -0.414
       0.401 0.095 0.003 - 0.599 0.179 0.007
     2. Cubeful 2-ply    24/18                        Eq.: -0.460 (-0.047)
       0.403 0.088 0.003 - 0.597 0.207 0.008
     3. Cubeful 2-ply    13/7                         Eq.: -0.475 (-0.061)
       0.388 0.097 0.003 - 0.612 0.186 0.009
     4. Cubeful 2-ply    24/23 6/1*                   Eq.: -0.514 (-0.101)
       0.380 0.090 0.002 - 0.620 0.190 0.011
     5. Cubeful 2-ply    13/8 6/5                     Eq.: -0.527 (-0.114)
       0.385 0.090 0.004 - 0.615 0.203 0.015


Move number 5:  sage_checker4ply_cube3ply to play 65

 GNU Backgammon  Position ID: 4NvBASiYc8MBIg
                 Match ID   : MAH3AAAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: sage_checker4ply_cube3ply
 | X        O  O    |   | O     O     X  X |     0 points
 | X        O  O    |   | O     O          |     Rolled 65
 | X           O    |   | O                |     
 |                  |   |                  |     
 |                  |   |                  |    
^|                  |BAR|                  |     7 points match (Cube: 1)
 |                  |   | X                |    
 |                  |   | X                |     
 | O           X    |   | X                |     
 | O           X  X |   | X                |     
 | O           X  X |   | X     O        O |     0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 152, X 154

* sage_checker4ply_cube3ply moves 21/10

Rolled 65:
*    21/10


Move number 6:  gnubg_checker3ply_cube2ply to play 53

 GNU Backgammon  Position ID: mHOLAyDg28EBKA
                 Match ID   : cInuAAAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: sage_checker4ply_cube3ply
 | X     O  O  O    |   | O     O     X  X |     0 points
 | X        O  O    |   | O     O          |     
 | X           O    |   | O                |     
 |                  |   |                  |     
 |                  |   |                  |    
v|                  |BAR|                  |     7 points match (Cube: 1)
 |                  |   | X                |    
 |                  |   | X                |     
 | O           X    |   | X                |     
 | O           X  X |   | X                |     Rolled 53
 | 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 141, X 154

* gnubg_checker3ply_cube2ply moves 23/15*

Rolled 53:
*    1. Cubeful 0-ply    23/15*                       Eq.: -0.078
       0.486 0.123 0.004 - 0.514 0.153 0.006
     2. Cubeful 0-ply    8/3 6/3                      Eq.: -0.465 (-0.387)
       0.380 0.104 0.003 - 0.620 0.190 0.007
     3. Cubeful 0-ply    23/20 6/1*                   Eq.: -0.607 (-0.528)
       0.354 0.085 0.002 - 0.646 0.204 0.009
     4. Cubeful 0-ply    23/20 13/8                   Eq.: -0.724 (-0.646)
       0.338 0.081 0.002 - 0.662 0.224 0.007
     5. Cubeful 0-ply    13/10 6/1*                   Eq.: -0.744 (-0.665)
       0.335 0.083 0.002 - 0.665 0.217 0.016


Move number 7:  sage_checker4ply_cube3ply to play 42

 GNU Backgammon  Position ID: 4NvBCSCYc8MBUA
                 Match ID   : MAHqAAAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: sage_checker4ply_cube3ply
 | X     X  O  O    | O | O     O        X |     0 points
 | X        O  O    |   | O     O          |     Rolled 42
 | X           O    |   | O                |     
 |                  |   |                  |     
 |                  |   |                  |    
^|                  |BAR|                  |     7 points match (Cube: 1)
 |                  |   | X                |    
 |                  |   | X                |     
 | O           X    |   | X                |     
 | O           X  X |   | X                |     
 | 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 156, X 146

* sage_checker4ply_cube3ply moves bar/21 24/22

Rolled 42:
*    bar/21 24/22


Move number 8:  gnubg_checker3ply_cube2ply to play 21

 GNU Backgammon  Position ID: mHPDAQrg28EJIA
                 Match ID   : cAnlAAAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: sage_checker4ply_cube3ply
 | X     X  O  O    |   | O     O        X |     0 points
 | X        O  O    |   | O     O          |     
 | X           O    |   | O                |     
 |                  |   |                  |     
 |                  |   |                  |    
v|                  |BAR|                  |     7 points match (Cube: 1)
 |                  |   | X                |    
 |                  |   | X                |     
 | O           X    |   | X                |     
 | O           X  X |   | X                |     Rolled 21
 | O           X  X |   | X     O  O       |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 150, X 146

* gnubg_checker3ply_cube2ply moves 6/4*/3*

Cube analysis
2-ply cubeless equity +0.064 (Money: +0.063)
  0.520 0.141 0.004 - 0.480 0.117 0.004
Cubeful equities:
1. No double           +0.092
2. Double, pass        +1.000  (+0.908)
3. Double, take        -0.202  (-0.294)
Proper cube action: No double, take (24.5%)

Rolled 21:
*    1. Cubeful 2-ply    6/4*/3*                      Eq.: -0.056
       0.489 0.141 0.004 - 0.511 0.152 0.008
     2. Cubeful 2-ply    15/13 8/7                    Eq.: -0.158 (-0.102)
       0.460 0.101 0.002 - 0.540 0.131 0.003
     3. Cubeful 0-ply    24/23 15/13                  Eq.: -0.203 (-0.147)
       0.454 0.094 0.001 - 0.546 0.149 0.003
     4. Cubeful 0-ply    6/3*                         Eq.: -0.277 (-0.221)
       0.439 0.105 0.003 - 0.561 0.178 0.010
     5. Cubeful 0-ply    15/14 6/4*                   Eq.: -0.288 (-0.232)
       0.438 0.103 0.004 - 0.562 0.184 0.012


Move number 9:  sage_checker4ply_cube3ply to play 21

 GNU Backgammon  Position ID: xNvBCSCYc8MBYA
                 Match ID   : MAHlAAAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: sage_checker4ply_cube3ply
 | X     X  O  O    | O | O     O        X |     0 points
 | X        O  O    | O | O     O          |     Rolled 21
 | X           O    |   | O                |     
 |                  |   |                  |     
 |                  |   |                  |    
^|                  |BAR|                  |     7 points match (Cube: 1)
 |                  |   |                  |    
 |                  |   | X                |     
 | O           X    |   | X                |     
 | O           X  X |   | 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 157, X 143

* sage_checker4ply_cube3ply moves bar/24 bar/23

Rolled 21:
*    bar/24 bar/23


Move number 10:  gnubg_checker3ply_cube2ply to play 32

 GNU Backgammon  Position ID: mHPDASjE28EJIA
                 Match ID   : cInpAAAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: sage_checker4ply_cube3ply
 | X     X  O  O    |   | O     O        X |     0 points
 | X        O  O    |   | O     O          |     
 | X           O    |   | O                |     
 |                  |   |                  |     
 |                  |   |                  |    
v|                  |BAR|                  |     7 points match (Cube: 1)
 |                  |   |                  |    
 |                  |   | X                |     
 | O           X    |   | X                |     
 | O           X  X |   | X                |     Rolled 32
 | O           X  X |   | X        X  O  O |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 154, X 143

* gnubg_checker3ply_cube2ply moves 15/13 6/3

Cube analysis
2-ply cubeless equity +0.093 (Money: +0.092)
  0.529 0.167 0.006 - 0.471 0.133 0.005
Cubeful equities:
1. No double           +0.129
2. Double, pass        +1.000  (+0.871)
3. Double, take        -0.140  (-0.270)
Proper cube action: No double, take (23.6%)

Rolled 32:
*    1. Cubeful 2-ply    15/13 6/3                    Eq.: +0.188
       0.550 0.150 0.004 - 0.450 0.117 0.003
     2. Cubeful 2-ply    8/3                          Eq.: +0.066 (-0.122)
       0.518 0.163 0.006 - 0.482 0.150 0.005
     3. Cubeful 2-ply    13/11 6/3                    Eq.: +0.038 (-0.150)
       0.514 0.166 0.007 - 0.486 0.164 0.008
     4. Cubeful 0-ply    24/22 6/3                    Eq.: +0.003 (-0.185)
       0.508 0.145 0.005 - 0.492 0.165 0.005
     5. Cubeful 0-ply    6/4 6/3                      Eq.: -0.217 (-0.405)
       0.457 0.128 0.006 - 0.543 0.200 0.010


Move number 11:  sage_checker4ply_cube3ply to play 51

 GNU Backgammon  Position ID: jNvBAyCYc8MBKA
                 Match ID   : MIHmAAAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: sage_checker4ply_cube3ply
 | X        O  O    |   | O     O        X |     0 points
 | X        O  O    |   | O     O          |     Rolled 51
 | X           O    |   | O                |     
 | X                |   |                  |     
 |                  |   |                  |    
^|                  |BAR|                  |     7 points match (Cube: 1)
 |                  |   |                  |    
 |                  |   |                  |     
 | O           X    |   | X                |     
 | O           X  X |   | X        X       |     
 | O           X  X |   | X        X  O  O |     0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 154, X 138

* sage_checker4ply_cube3ply moves 24/23 13/8

Rolled 51:
*    24/23 13/8


Move number 12:  gnubg_checker3ply_cube2ply to play 41

 GNU Backgammon  Position ID: mPOGARiM28EDIA
                 Match ID   : cAnmAAAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: sage_checker4ply_cube3ply
 | X        O  O    |   | O     O        X |     0 points
 | X        O  O    |   | O     O          |     
 | X           O    |   | O                |     
 | X           O    |   |                  |     
 |                  |   |                  |    
v|                  |BAR|                  |     7 points match (Cube: 1)
 |                  |   |                  |    
 |                  |   |                  |     
 |             X    |   | X                |     
 | O           X  X |   | X        X  O    |     Rolled 41
 | O           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 148, X 138

* gnubg_checker3ply_cube2ply moves 13/9 8/7

Cube analysis
2-ply cubeless equity +0.237 (Money: +0.236)
  0.602 0.126 0.004 - 0.398 0.096 0.003
Cubeful equities:
1. No double           +0.364
2. Double, pass        +1.000  (+0.636)
3. Double, take        +0.211  (-0.153)
Proper cube action: No double, take (19.4%)

Rolled 41:
*    1. Cubeful 3-ply    13/9 8/7                     Eq.: +0.250
       0.568 0.134 0.005 - 0.432 0.116 0.004
     2. Cubeful 3-ply    13/8                         Eq.: +0.220 (-0.030)
       0.562 0.127 0.005 - 0.438 0.115 0.003
     3. Cubeful 2-ply    24/20 8/7                    Eq.: +0.184 (-0.065)
       0.562 0.136 0.005 - 0.438 0.137 0.003
     4. Cubeful 2-ply    24/23 13/9                   Eq.: +0.157 (-0.092)
       0.553 0.137 0.005 - 0.447 0.136 0.004
     5. Cubeful 2-ply    13/9 6/5                     Eq.: +0.073 (-0.177)
       0.534 0.136 0.005 - 0.466 0.151 0.007


Move number 13:  sage_checker4ply_cube3ply to play 42

 GNU Backgammon  Position ID: jLuFAyCY84YBGA
                 Match ID   : MAHqAAAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: sage_checker4ply_cube3ply
 | X        O  O    |   | O     O        X |     0 points
 | X        O  O    |   | O     O          |     Rolled 42
 | X           O    |   | O                |     
 |             O    |   |                  |     
 |                  |   |                  |    
^|                  |BAR|                  |     7 points match (Cube: 1)
 |                  |   |                  |    
 |                  |   |                  |     
 |                X |   | X                |     
 | O           X  X |   | X        X  O    |     
 | O        X  X  X |   | X        X  O    |     0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 148, X 133

* sage_checker4ply_cube3ply moves 23/21 8/4

Rolled 42:
*    23/21 8/4


Move number 14:  gnubg_checker3ply_cube2ply to play 52

 GNU Backgammon  Position ID: OOeGARKMu4UDIA
                 Match ID   : cInqAAAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: sage_checker4ply_cube3ply
 | X        O  O    |   | O     O        X |     0 points
 | X        O  O    |   | O     O          |     
 | X           O    |   | O     O          |     
 |                  |   |                  |     
 |                  |   |                  |    
v|                  |BAR|                  |     7 points match (Cube: 1)
 |                  |   |                  |    
 |                  |   |                  |     
 |                X |   | X                |     
 | O           X  X |   | X        X       |     Rolled 52
 | O        X  X  X |   | X     O  X  O    |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 142, X 133

* gnubg_checker3ply_cube2ply moves 9/4* 6/4

Cube analysis
2-ply cubeless equity +0.373 (Money: +0.370)
  0.622 0.215 0.007 - 0.378 0.094 0.004
Cubeful equities:
1. No double           +0.520
2. Double, pass        +1.000  (+0.480)
3. Double, take        +0.493  (-0.028)
Proper cube action: No double, take (5.5%)

Rolled 52:
*    1. Cubeful 0-ply    9/4* 6/4                     Eq.: +0.741
       0.680 0.242 0.008 - 0.320 0.075 0.002
     2. Cubeful 0-ply    9/4*/2*                      Eq.: +0.397 (-0.344)
       0.582 0.246 0.007 - 0.418 0.117 0.005
     3. Cubeful 0-ply    13/8 9/7                     Eq.: +0.179 (-0.562)
       0.548 0.145 0.003 - 0.452 0.115 0.003
     4. Cubeful 0-ply    7/2* 6/4*                    Eq.: +0.152 (-0.589)
       0.534 0.216 0.008 - 0.466 0.169 0.014
     5. Cubeful 0-ply    13/11 9/4*                   Eq.: +0.113 (-0.628)
       0.532 0.176 0.006 - 0.468 0.158 0.009


Move number 15:  sage_checker4ply_cube3ply to play 53

 GNU Backgammon  Position ID: bHaDAyA454YBSA
                 Match ID   : MIHuAAAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: sage_checker4ply_cube3ply
 | X        O  O    | O | O     O        X |     0 points
 | X        O  O    |   | O     O          |     Rolled 53
 | X           O    |   | O     O          |     
 |                  |   |                  |     
 |                  |   |                  |    
^|                  |BAR|                  |     7 points match (Cube: 1)
 |                  |   |                  |    
 |                  |   |                  |     
 |                X |   |                  |     
 | O           X  X |   | X     X  X       |     
 | O           X  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 146, X 126

* sage_checker4ply_cube3ply moves bar/20 23/20

Rolled 53:
*    bar/20 23/20


Move number 16:  gnubg_checker3ply_cube2ply to play 11

 GNU Backgammon  Position ID: OOeGAQNsdoMDIA
                 Match ID   : cInkAAAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: sage_checker4ply_cube3ply
 | X        O  O    |   | O     O        X |     0 points
 | X        O  O    |   | O     O          |     
 | X           O    |   | O     O          |     
 |                  |   |                  |     
 |                  |   |                  |    
v|                  |BAR|                  |     7 points match (Cube: 1)
 |                  |   |                  |    
 |                  |   |                  |     
 |                X |   |                  |     
 | O           X  X |   | X  O  X  X       |     Rolled 11
 | O           X  X |   | X  O  X  X       |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 138, X 126

* gnubg_checker3ply_cube2ply moves 8/6(2)

Cube analysis
2-ply cubeless equity +0.049 (Money: +0.049)
  0.535 0.060 0.001 - 0.465 0.079 0.002
Cubeful equities:
1. No double           +0.086
2. Double, pass        +1.000  (+0.914)
3. Double, take        -0.209  (-0.295)
Proper cube action: No double, take (24.4%)

Rolled 11:
*    1. Cubeful 3-ply    8/6(2)                       Eq.: -0.107
       0.475 0.064 0.001 - 0.525 0.092 0.003
     2. Cubeful 3-ply    24/22 3/2(2)                 Eq.: -0.128 (-0.021)
       0.478 0.061 0.001 - 0.522 0.116 0.003
     3. Cubeful 2-ply    3/1(2)                       Eq.: -0.163 (-0.056)
       0.465 0.066 0.001 - 0.535 0.111 0.002
     4. Cubeful 2-ply    24/23 7/6 3/2(2)             Eq.: -0.169 (-0.062)
       0.466 0.064 0.001 - 0.534 0.116 0.002
     5. Cubeful 2-ply    24/23 8/6 8/7                Eq.: -0.171 (-0.063)
       0.464 0.066 0.001 - 0.536 0.115 0.002


Move number 17:  sage_checker4ply_cube3ply to play 32

 GNU Backgammon  Position ID: bN6BAyA454YBAw
                 Match ID   : MIHpAAAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: sage_checker4ply_cube3ply
 | X        O  O    |   | O     O        X |     0 points
 | X        O  O    |   | O     O          |     Rolled 32
 | X           O    |   | O     O          |     
 |                  |   |                  |     
 |                  |   |                  |    
^|                  |BAR|                  |     7 points match (Cube: 1)
 |                  |   |                  |    
 |                  |   | X                |     
 |                X |   | X                |     
 | O              X |   | X  O  X  X       |     
 | O              X |   | X  O  X  X       |     0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 138, X 122

* sage_checker4ply_cube3ply moves 13/11 13/10

Rolled 32:
*    13/11 13/10


Move number 18:  gnubg_checker3ply_cube2ply to play 51

 GNU Backgammon  Position ID: OOdWAANs3oEDIA
                 Match ID   : cInmAAAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: sage_checker4ply_cube3ply
 | X  O  O  O  O    |   | O     O        X |     0 points
 | X        O  O    |   | O     O          |     
 | X           O    |   | O     O          |     
 |                  |   |                  |     
 |                  |   |                  |    
v|                  |BAR|                  |     7 points match (Cube: 1)
 |                  |   |                  |    
 |                  |   | X                |     
 |                X |   | X                |     
 |                X |   | X  O  X  X       |     Rolled 51
 |                X |   | X  O  X  X       |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 133, X 122

* gnubg_checker3ply_cube2ply moves 24/18

Cube analysis
2-ply cubeless equity +0.046 (Money: +0.046)
  0.527 0.069 0.001 - 0.473 0.075 0.003
Cubeful equities:
1. No double           +0.089
2. Double, pass        +1.000  (+0.911)
3. Double, take        -0.224  (-0.313)
Proper cube action: No double, take (25.6%)

Rolled 51:
*    1. Cubeful 3-ply    24/18                        Eq.: -0.130
       0.474 0.066 0.002 - 0.526 0.110 0.003
     2. Cubeful 3-ply    13/7                         Eq.: -0.173 (-0.042)
       0.453 0.060 0.001 - 0.547 0.096 0.003
     3. Cubeful 2-ply    7/2 3/2                      Eq.: -0.221 (-0.091)
       0.443 0.062 0.001 - 0.557 0.102 0.003
     4. Cubeful 2-ply    7/1                          Eq.: -0.247 (-0.116)
       0.437 0.064 0.001 - 0.563 0.109 0.003
     5. Cubeful 2-ply    13/8 7/6                     Eq.: -0.269 (-0.139)
       0.429 0.067 0.001 - 0.571 0.110 0.003


Move number 19:  sage_checker4ply_cube3ply to play 64

 GNU Backgammon  Position ID: bN6BgwA451YAAw
                 Match ID   : MAHzAAAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: sage_checker4ply_cube3ply
 | X  O  O  O  O  X |   | O     O          |     0 points
 | X        O  O    |   | O     O          |     Rolled 64
 | X           O    |   | O     O          |     
 |                  |   |                  |     
 |                  |   |                  |    
^|                  |BAR|                  |     7 points match (Cube: 1)
 |                  |   |                  |    
 |                  |   | X                |     
 |                X |   | X                |     
 |                X |   | X  O  X  X       |     
 |                X |   | X  O  X  X       |     0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 133, X 116

* sage_checker4ply_cube3ply moves 11/7* 10/4

Rolled 64:
*    11/7* 10/4


Move number 20:  gnubg_checker3ply_cube2ply to play 43

 GNU Backgammon  Position ID: eK4bAANs3oEDQA
                 Match ID   : cAnuAAAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: sage_checker4ply_cube3ply
 | X        O  O  O |   | O     O          |     0 points
 | X        O  O    |   | O     O          |     
 | X           O    |   | O     O          |     
 |                  |   |       O          |     
 |                  |   |                  |    
v|                  |BAR|                  |     7 points match (Cube: 1)
 |                  |   |                  |    
 |                  |   | X                |     
 |                X |   | X                |     
 |                X |   | X  O  X  X       |     Rolled 43
 |                X | X | X  O  X  X       |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 123, X 123

* gnubg_checker3ply_cube2ply moves bar/18*

Rolled 43:
*    1. Cubeful 0-ply    bar/18*                      Eq.: +0.656
       0.702 0.097 0.003 - 0.298 0.051 0.001
     2. Cubeful 0-ply    bar/22 7/3                   Eq.: -0.250 (-0.905)
       0.442 0.074 0.001 - 0.558 0.136 0.003
     3. Cubeful 0-ply    bar/22 6/2                   Eq.: -0.280 (-0.936)
       0.438 0.072 0.002 - 0.562 0.150 0.004
     4. Cubeful 0-ply    bar/22 13/9                  Eq.: -0.392 (-1.048)
       0.412 0.077 0.002 - 0.588 0.182 0.006


Move number 21:  sage_checker4ply_cube3ply to play 41

 GNU Backgammon  Position ID: bN6BgwB4zg2AQQ
                 Match ID   : MAHmAAAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: sage_checker4ply_cube3ply
 | X        O  O  X | O | O     O          |     0 points
 | X        O  O    |   | O     O          |     Rolled 41
 | X           O    |   | O     O          |     
 |                  |   |       O          |     
 |                  |   |                  |    
^|                  |BAR|                  |     7 points match (Cube: 1)
 |                  |   |                  |    
 |                  |   | X                |     
 |                X |   | X                |     
 |                X |   | X  O  X  X       |     
 |                X |   | X  O  X  X       |     0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 141, X 116

* sage_checker4ply_cube3ply moves bar/20

Rolled 41:
*    bar/20


Move number 22:  gnubg_checker3ply_cube2ply on roll, cube decision?

 GNU Backgammon  Position ID: eM4NgANs3oGDAA
                 Match ID   : cAngAAAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: sage_checker4ply_cube3ply
 | X        O  O  X |   | O     O          |     0 points
 | X        O  O    |   | O     O          |     
 | X           O    |   | O     O          |     
 |                  |   |       O          |     
 |                  |   |                  |    
v|                  |BAR|                  |     7 points match (Cube: 1)
 |                  |   |                  |    
 |                  |   | X                |     
 |                X |   | X  O             |     
 |                X |   | X  O  X  X       |     On roll
 |                X |   | X  O  X  X       |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 136, X 116

* gnubg_checker3ply_cube2ply doubles

Move number 23:  gnubg_checker3ply_cube2ply doubles to 2

 GNU Backgammon  Position ID: eM4NgANs3oGDAA
                 Match ID   : cBHgAAAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: sage_checker4ply_cube3ply
 | X        O  O  X |   | O     O          |     0 points
 | X        O  O    |   | O     O          |     Cube offered at 2
 | X           O    |   | O     O          |     
 |                  |   |       O          |     
 |                  |   |                  |    
v|                  |BAR|                  |     
 |                  |   |                  |    
 |                  |   | X                |     
 |                X |   | X  O             |     
 |                X |   | X  O  X  X       |     
 |                X |   | X  O  X  X       |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 136, X 116

* sage_checker4ply_cube3ply accepts

Move number 24:  gnubg_checker3ply_cube2ply to play 61

 GNU Backgammon  Position ID: eM4NgANs3oGDAA
                 Match ID   : QQnnAAAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: sage_checker4ply_cub (Cube: 2)
 | X        O  O  X |   | O     O          |     0 points
 | X        O  O    |   | O     O          |     
 | X           O    |   | O     O          |     
 |                  |   |       O          |     
 |                  |   |                  |    
v|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   | X                |     
 |                X |   | X  O             |     
 |                X |   | X  O  X  X       |     Rolled 61
 |                X |   | X  O  X  X       |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 136, X 116

* gnubg_checker3ply_cube2ply moves 18/12 13/12

Rolled 61:
*    1. Cubeful 2-ply    18/12 13/12                  Eq.: +0.443
       0.754 0.031 0.000 - 0.246 0.015 0.000
     2. Cubeful 2-ply    18/12 7/6                    Eq.: +0.349 (-0.094)
       0.716 0.036 0.000 - 0.284 0.026 0.000
     3. Cubeful 2-ply    18/12 3/2                    Eq.: +0.330 (-0.113)
       0.711 0.033 0.000 - 0.289 0.030 0.001
     4. Cubeful 2-ply    18/12 4/3                    Eq.: +0.303 (-0.140)
       0.699 0.036 0.000 - 0.301 0.033 0.001
     5. Cubeful 0-ply    18/11                        Eq.: +0.189 (-0.254)
       0.647 0.054 0.001 - 0.353 0.045 0.000


Move number 25:  sage_checker4ply_cube3ply to play 54

 GNU Backgammon  Position ID: bN7BBgB4zg2AAw
                 Match ID   : AYHyAAAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: sage_checker4ply_cub (Cube: 2)
 | X        O  O    |   | O     O          |     0 points
 | X        O  O    |   | O     O          |     Rolled 54
 |             O    |   | O     O          |     
 |                  |   |       O          |     
 |                  |   |                  |    
^|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   | X                |     
 |                X |   | X  O             |     
 | X              X |   | X  O  X  X       |     
 | X              X |   | X  O  X  X       |     0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 136, X 109

* sage_checker4ply_cube3ply moves 20/11

Rolled 54:
*    20/11


Move number 26:  gnubg_checker3ply_cube2ply to play 54

 GNU Backgammon  Position ID: eM5NAANs3sEGAA
                 Match ID   : QYnyAAAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: sage_checker4ply_cub (Cube: 2)
 | X  O     O  O    |   | O     O          |     0 points
 | X        O  O    |   | O     O          |     
 |             O    |   | O     O          |     
 |                  |   |       O          |     
 |                  |   |                  |    
v|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   | X                |     
 |                X |   | X                |     
 | X              X |   | X  O  X  X       |     Rolled 54
 | X              X |   | X  O  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 109

* gnubg_checker3ply_cube2ply moves 13/4

Rolled 54:
*    1. Cubeful 3-ply    13/4                         Eq.: +0.418
       0.741 0.041 0.001 - 0.259 0.019 0.001
     2. Cubeful 3-ply    7/2 6/2                      Eq.: +0.408 (-0.010)
       0.740 0.030 0.001 - 0.260 0.017 0.000
     3. Cubeful 2-ply    12/3                         Eq.: +0.377 (-0.041)
       0.722 0.050 0.001 - 0.278 0.026 0.001
     4. Cubeful 2-ply    13/8 12/8                    Eq.: +0.373 (-0.045)
       0.715 0.069 0.002 - 0.285 0.032 0.001
     5. Cubeful 2-ply    7/3 6/1                      Eq.: +0.368 (-0.050)
       0.725 0.031 0.000 - 0.275 0.022 0.000


Move number 27:  sage_checker4ply_cube3ply to play 43

 GNU Backgammon  Position ID: 7LyDBQB4zk0AAw
                 Match ID   : AQHuAAAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: sage_checker4ply_cub (Cube: 2)
 | X  O     O  O    |   | O     O          |     0 points
 |          O  O    |   | O     O          |     Rolled 43
 |             O    |   | O     O          |     
 |                  |   |       O          |     
 |                  |   |                  |    
^|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   | X                |     
 |                X |   | X     X          |     
 | X              X |   | X  O  X  X       |     
 | X              X |   | X  O  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 100

* sage_checker4ply_cube3ply moves 9/5 8/5

Rolled 43:
*    9/5 8/5


Move number 28:  gnubg_checker3ply_cube2ply to play 33

 GNU Backgammon  Position ID: eDtLAAPsvIMFAA
                 Match ID   : QYntAAAAAAAE
 +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          |     0 points
 |             O    |   | O  O  O          |     
 |                  |   | O     O          |     
 |                  |   |       O          |     
 |                  |   |                  |    
v|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   | X                |     
 |                X |   | X     X          |     
 | X              X |   | X  O  X  X       |     Rolled 33
 | X              X |   | X  O  X  X       |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 120, X 100

* gnubg_checker3ply_cube2ply moves 13/7 12/9(2)

Rolled 33:
*    1. Cubeful 2-ply    13/7 12/9(2)                 Eq.: +0.686
       0.862 0.009 0.000 - 0.138 0.002 0.000
     2. Cubeful 2-ply    13/1                         Eq.: +0.541 (-0.146)
       0.797 0.022 0.000 - 0.203 0.010 0.000
     3. Cubeful 2-ply    13/7 6/3 4/1                 Eq.: +0.535 (-0.152)
       0.795 0.021 0.000 - 0.205 0.010 0.000
     4. Cubeful 0-ply    13/7 4/1(2)                  Eq.: +0.508 (-0.178)
       0.784 0.023 0.000 - 0.216 0.012 0.000
     5. Cubeful 0-ply    13/4 6/3                     Eq.: +0.488 (-0.198)
       0.774 0.027 0.000 - 0.226 0.013 0.000


Move number 29:  sage_checker4ply_cube3ply to play 64

 GNU Backgammon  Position ID: 7LxnAAB4O0sAAw
                 Match ID   : AQHzAAAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: sage_checker4ply_cub (Cube: 2)
 |    O     O  O    |   | O  O  O          |     0 points
 |             O    |   | O  O  O          |     Rolled 64
 |                  |   | O     O          |     
 |                  |   |       O          |     
 |                  |   |                  |    
^|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                X |   | X                |     
 |                X |   | X     X          |     
 |          X     X |   | X  O  X  X       |     
 |          X     X |   | X  O  X  X       |     0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 120, X 88

* sage_checker4ply_cube3ply moves 11/7 9/3

Rolled 64:
*    11/7 9/3


Move number 30:  gnubg_checker3ply_cube2ply to play 42

 GNU Backgammon  Position ID: 9HYNAAPsvGcAAA
                 Match ID   : QQnqAAAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: sage_checker4ply_cub (Cube: 2)
 |             O  O |   | O  O  O  O       |     0 points
 |             O    |   | O  O  O          |     
 |                  |   | O     O          |     
 |                  |   |       O          |     
 |                  |   |                  |    
v|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                X |   | X                |     
 |                X |   | X     X          |     
 |          X     X |   | X  O  X  X       |     Rolled 42
 |          X     X |   | X  O  X  X       |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 110, X 88

* gnubg_checker3ply_cube2ply moves 6/2 3/1

Rolled 42:
*    1. Cubeful 3-ply    6/2 3/1                      Eq.: +0.601
       0.825 0.011 0.000 - 0.175 0.002 0.000
     2. Cubeful 3-ply    7/1                          Eq.: +0.598 (-0.003)
       0.824 0.010 0.000 - 0.176 0.002 0.000
     3. Cubeful 2-ply    6/2 4/2                      Eq.: +0.615 (+0.014)
       0.832 0.008 0.000 - 0.168 0.002 0.000
     4. Cubeful 2-ply    7/3 4/2                      Eq.: +0.615 (+0.014)
       0.832 0.008 0.000 - 0.168 0.002 0.000
     5. Cubeful 2-ply    7/3 6/4                      Eq.: +0.588 (-0.013)
       0.821 0.008 0.000 - 0.179 0.003 0.000


Move number 31:  sage_checker4ply_cube3ply to play 43

 GNU Backgammon  Position ID: 1blnAAD0dg0AAw
                 Match ID   : AQHuAAAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: sage_checker4ply_cub (Cube: 2)
 |             O  O |   | O  O  O  O       |     0 points
 |             O    |   | O  O  O          |     Rolled 43
 |                  |   | O     O          |     
 |                  |   |       O          |     
 |                  |   |                  |    
^|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                X |   |                  |     
 |                X |   | X     X          |     
 |          X     X |   | X  O  X          |     
 |          X     X |   | 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 110, X 82

* sage_checker4ply_cube3ply moves 8/5 7/3

Rolled 43:
*    8/5 7/3


Move number 32:  gnubg_checker3ply_cube2ply to play 44

 GNU Backgammon  Position ID: 7N0JAAPVuWcAAA
                 Match ID   : QQnyAAAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: sage_checker4ply_cub (Cube: 2)
 |             O    |   | O  O  O  O       |     0 points
 |                  |   | O  O  O  O       |     
 |                  |   | O  O  O          |     
 |                  |   |       O          |     
 |                  |   |                  |    
v|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                X |   |                  |     
 |                X |   | X     X          |     
 |          X     X |   | X  O  X          |     Rolled 44
 |          X     X |   | X  O  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 103, X 82

* gnubg_checker3ply_cube2ply moves 7/3(4)

Rolled 44:
*    1. Cubeful 2-ply    7/3(4)                       Eq.: +0.530
       0.795 0.014 0.000 - 0.205 0.006 0.000
     2. Cubeful 2-ply    7/3 6/2(3)                   Eq.: +0.455 (-0.075)
       0.765 0.012 0.000 - 0.235 0.010 0.000
     3. Cubeful 0-ply    7/3(3) 6/2                   Eq.: +0.159 (-0.371)
       0.642 0.026 0.000 - 0.358 0.035 0.000
     4. Cubeful 0-ply    7/3(2) 6/2(2)                Eq.: +0.111 (-0.419)
       0.627 0.024 0.000 - 0.373 0.046 0.000


Move number 33:  sage_checker4ply_cube3ply to play 55

 GNU Backgammon  Position ID: 9Z1jAADs3QkAAw
                 Match ID   : AYH2AAAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: sage_checker4ply_cub (Cube: 2)
 |             O    |   | O  O  O  O       |     0 points
 |                  |   | O  O  O  O       |     Rolled 55
 |                  |   | O  O  O          |     
 |                  |   |       O          |     
 |                  |   |                  |    
^|                  |BAR|                  |     7 points match
 |                  |   |          X       |    
 |                  |   |          X       |     
 |                  |   | X     X  X       |     
 |          X       |   | X  O  X  X       |     
 |          X       |   | 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 103, X 66

* sage_checker4ply_cube3ply moves 20/5 8/3

Rolled 55:
*    20/5 8/3


Move number 34:  gnubg_checker3ply_cube2ply to play 53

 GNU Backgammon  Position ID: 3HsHAAL1nWMAAA
                 Match ID   : QYnuAAAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: sage_checker4ply_cub (Cube: 2)
 |                  |   | O  O  O  O       |     0 points
 |                  |   | O  O  O  O       |     
 |                  |   | O  O  O  O       |     
 |                  |   |    O  O          |     
 |                  |   |                  |    
v|                  |BAR|                  |     7 points match
 |                  |   |          X       |    
 |                  |   |          X       |     
 |                  |   | X     X  X       |     
 |          X       |   | X     X  X       |     Rolled 53
 |          X       |   | X  O  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 83, X 66

* gnubg_checker3ply_cube2ply moves 9/6 9/4

Rolled 53:
*    1. Cubeful 0-ply    9/6 9/4                      Eq.: +0.724
       0.881 0.001 0.000 - 0.119 0.000 0.000
     2. Cubeful 0-ply    6/1 4/1                      Eq.: +0.360 (-0.364)
       0.727 0.002 0.000 - 0.273 0.004 0.000
     3. Cubeful 0-ply    9/1                          Eq.: -0.033 (-0.757)
       0.560 0.004 0.000 - 0.440 0.009 0.000
     4. Cubeful 0-ply    9/4 6/3                      Eq.: -0.141 (-0.865)
       0.514 0.002 0.000 - 0.486 0.010 0.000
     5. Cubeful 0-ply    6/3 6/1                      Eq.: -0.240 (-0.964)
       0.478 0.003 0.000 - 0.522 0.026 0.000


Move number 35:  sage_checker4ply_cube3ply to play 53

 GNU Backgammon  Position ID: 9T0PAADcewcAAg
                 Match ID   : AYHuAAAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: sage_checker4ply_cub (Cube: 2)
 |                  |   | O  O  O  O       |     0 points
 |                  |   | O  O  O  O       |     Rolled 53
 |                  |   | O  O  O  O       |     
 |                  |   |    O  O          |     
 |                  |   |                  |    
^|                  |BAR|                  |     7 points match
 |                  |   |          X       |    
 |                  |   | X     X  X       |     
 |                  |   | X     X  X       |     
 |                  |   | X     X  X       |     
 |                  |   | 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 83, X 58

* sage_checker4ply_cube3ply moves 20/12

Rolled 53:
*    20/12


Move number 36:  gnubg_checker3ply_cube2ply to play 53

 GNU Backgammon  Position ID: 3HsHAgD1PQ8AAA
                 Match ID   : QYnuAAAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: sage_checker4ply_cub (Cube: 2)
 | O                |   | O  O  O  O       |     0 points
 |                  |   | O  O  O  O       |     
 |                  |   | O  O  O  O       |     
 |                  |   |    O  O          |     
 |                  |   |                  |    
v|                  |BAR|                  |     7 points match
 |                  |   |          X       |    
 |                  |   | X     X  X       |     
 |                  |   | X     X  X       |     
 |                  |   | X     X  X       |     Rolled 53
 |                  |   | 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 75, X 58

* gnubg_checker3ply_cube2ply moves 6/1 3/off

Rolled 53:
*    1. Cubeful 2-ply    6/1 3/off                    Eq.: +0.694
       0.867 0.000 0.000 - 0.133 0.000 0.000
     2. Cubeful 2-ply    6/3 6/1                      Eq.: +0.605 (-0.089)
       0.828 0.000 0.000 - 0.172 0.000 0.000
     3. Cubeful 2-ply    6/1 4/1                      Eq.: +0.591 (-0.103)
       0.822 0.000 0.000 - 0.178 0.000 0.000


Move number 37:  sage_checker4ply_cube3ply to play 21

 GNU Backgammon  Position ID: 6z0HAADuvQMBAA
                 Match ID   : AQHlAAAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: sage_checker4ply_cub (Cube: 2)
 | O                |   | O  O  O  O       |     0 points
 |                  |   | O  O  O  O       |     Rolled 21
 |                  |   | O  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 75, X 50

* sage_checker4ply_cube3ply moves 12/10 3/2

Rolled 21:
*    12/10 3/2


Move number 38:  gnubg_checker3ply_cube2ply to play 11

 GNU Backgammon  Position ID: 2nuHAADrPQcAAA
                 Match ID   : QYnkAAAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: sage_checker4ply_cub (Cube: 2)
 |       O          |   | O  O  O  O  O    |     0 points
 |                  |   | O  O  O  O       |     
 |                  |   | O  O  O          |     
 |                  |   |    O  O          |     
 |                  |   |                  |    
v|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   |       X  X       |     
 |                  |   | X     X  X       |     
 |                  |   | X     X  X     X |     Rolled 11
 |                  |   | 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 50

* gnubg_checker3ply_cube2ply moves 6/5 3/2 1/off(2)

Rolled 11:
*    1. Cubeful 3-ply    6/5 3/2 1/off(2)             Eq.: +0.823
       0.923 0.000 0.000 - 0.077 0.000 0.000
     2. Cubeful 3-ply    6/5(2) 1/off(2)              Eq.: +0.815 (-0.009)
       0.919 0.000 0.000 - 0.081 0.000 0.000
     3. Cubeful 2-ply    2/off 1/off(2)               Eq.: +0.814 (-0.009)
       0.919 0.000 0.000 - 0.081 0.000 0.000
     4. Cubeful 2-ply    6/5 2/off 1/off              Eq.: +0.812 (-0.012)
       0.918 0.000 0.000 - 0.082 0.000 0.000
     5. Cubeful 2-ply    6/5(2) 3/2 1/off             Eq.: +0.811 (-0.013)
       0.918 0.000 0.000 - 0.082 0.000 0.000


Move number 39:  sage_checker4ply_cube3ply to play 64

 GNU Backgammon  Position ID: dq8BAEB77xAAAA
                 Match ID   : AQHzAAAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: sage_checker4ply_cub (Cube: 2)
 |       O          |   | O  O  O  O  O    |     0 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_cube2ply
Pip counts: O 72, X 46

* sage_checker4ply_cube3ply moves 10/off

Rolled 64:
*    10/off


Move number 40:  gnubg_checker3ply_cube2ply to play 41

 GNU Backgammon  Position ID: 2nsHAAC71wAAAA
                 Match ID   : QQnmAAAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: sage_checker4ply_cub (Cube: 2)
 |                  |   | O  O  O  O  O    | O   0 points
 |                  |   | O  O  O  O       |     
 |                  |   | O  O  O          |     
 |                  |   |    O  O          |     
 |                  |   |                  |    
v|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   |       X          |     
 |                  |   |       X  X       | X   
 |                  |   | X     X  X  X    | X   Rolled 41
 |                  |   | 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 62, X 46

* gnubg_checker3ply_cube2ply moves 4/off 2/1

Rolled 41:
*    1. Cubeful 3-ply    4/off 2/1                    Eq.: +0.732
       0.883 0.000 0.000 - 0.117 0.000 0.000
     2. Cubeful 3-ply    6/5 4/off                    Eq.: +0.725 (-0.007)
       0.880 0.000 0.000 - 0.120 0.000 0.000
     3. Cubeful 2-ply    4/off 3/2                    Eq.: +0.724 (-0.008)
       0.880 0.000 0.000 - 0.120 0.000 0.000
     4. Cubeful 2-ply    4/3 4/off                    Eq.: +0.704 (-0.028)
       0.871 0.000 0.000 - 0.129 0.000 0.000
     5. Cubeful 2-ply    5/off                        Eq.: +0.687 (-0.045)
       0.864 0.000 0.000 - 0.136 0.000 0.000


Move number 41:  sage_checker4ply_cube3ply to play 31

 GNU Backgammon  Position ID: ddcAAKC9dwAAAA
                 Match ID   : AYHlAAAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: sage_checker4ply_cub (Cube: 2)
 |                  |   | O  O  O  O  O    | O   0 points
 |                  |   | O  O  O  O       |     Rolled 31
 |                  |   | 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 62, X 41

* sage_checker4ply_cube3ply moves 4/off

Rolled 31:
*    4/off


Move number 42:  gnubg_checker3ply_cube2ply to play 51

 GNU Backgammon  Position ID: 2r0DAEDdNQAAAA
                 Match ID   : QYnmAAAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: sage_checker4ply_cub (Cube: 2)
 |                  |   | O  O  O  O  O    | O   0 points
 |                  |   | O  O  O  O       | O   
 |                  |   | O  O  O          |     
 |                  |   |    O             |     
 |                  |   |                  |    
v|                  |BAR|                  |     7 points match
 |                  |   |                  |    
 |                  |   |                  | X   
 |                  |   |       X  X       | X   
 |                  |   | X     X  X       | X   Rolled 51
 |                  |   | 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 58, X 41

* gnubg_checker3ply_cube2ply moves 5/off 1/off

Rolled 51:
*    1. Cubeful 3-ply    5/off 1/off                  Eq.: +0.812
       0.918 0.000 0.000 - 0.082 0.000 0.000
     2. Cubeful 3-ply    6/off                        Eq.: +0.805 (-0.007)
       0.915 0.000 0.000 - 0.085 0.000 0.000
     3. Cubeful 2-ply    5/off 3/2                    Eq.: +0.792 (-0.020)
       0.909 0.000 0.000 - 0.091 0.000 0.000
     4. Cubeful 2-ply    6/1 3/2                      Eq.: +0.773 (-0.039)
       0.901 0.000 0.000 - 0.099 0.000 0.000
     5. Cubeful 2-ply    5/off 4/3                    Eq.: +0.762 (-0.050)
       0.896 0.000 0.000 - 0.104 0.000 0.000


Move number 43:  sage_checker4ply_cube3ply to play 65

 GNU Backgammon  Position ID: ujMAAGj3DgAAAA
                 Match ID   : AQH3AAAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: sage_checker4ply_cub (Cube: 2)
 |                  |   | O  O  O  O  O    | O   0 points
 |                  |   | O  O  O  O       | O   Rolled 65
 |                  |   | O  O  O          |     
 |                  |   |    O             |     
 |                  |   |                  |    
^|                  |BAR|                  |     7 points match
 |                  |   |                  | X  
 |                  |   |                  | X   
 |                  |   |       X  X       | X   
 |                  |   | X     X  X       | 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 58, X 35

* sage_checker4ply_cube3ply moves 6/off 5/off

Rolled 65:
*    6/off 5/off


Move number 44:  gnubg_checker3ply_cube2ply to play 64

 GNU Backgammon  Position ID: 2t0AAKA7AwAAAA
                 Match ID   : QQnzAAAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: sage_checker4ply_cub (Cube: 2)
 |                  |   | O  O  O  O  O    | O   0 points
 |                  |   | O  O  O  O       | O   
 |                  |   |    O  O          | O   
 |                  |   |                  | O   
 |                  |   |                  |    
v|                  |BAR|                  |     7 points match
 |                  |   |                  | X  
 |                  |   |                  | X   
 |                  |   |       X  X       | X   
 |                  |   | X     X  X       | X   Rolled 64
 |                  |   | 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 47, X 35

* gnubg_checker3ply_cube2ply moves 6/off 4/off

Rolled 64:
*    1. Cubeful 2-ply    6/off 4/off                  Eq.: +0.856
       0.937 0.000 0.000 - 0.063 0.000 0.000
     2. Cubeful 2-ply    6/2 6/off                    Eq.: +0.792 (-0.065)
       0.909 0.000 0.000 - 0.091 0.000 0.000


Move number 45:  sage_checker4ply_cube3ply to play 52

 GNU Backgammon  Position ID: ugkAANrdAAAAAA
                 Match ID   : AYHqAAAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: sage_checker4ply_cub (Cube: 2)
 |                  |   | O  O  O  O  O    | O   0 points
 |                  |   | O  O  O  O       | O   Rolled 52
 |                  |   |    O  O          | O   
 |                  |   |                  | O   
 |                  |   |                  |    
^|                  |BAR|                  |     7 points match
 |                  |   |                  | X  
 |                  |   |                  | X   
 |                  |   |          X       | XX  
 |                  |   |       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 47, X 25

* sage_checker4ply_cube3ply moves 5/off 2/off

Rolled 52:
*    5/off 2/off


Move number 46:  gnubg_checker3ply_cube2ply to play 31

 GNU Backgammon  Position ID: 7DYAAOgmAAAAAA
                 Match ID   : QYnlAAAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: sage_checker4ply_cub (Cube: 2)
 |                  |   | O  O  O  O       | OO  0 points
 |                  |   | O  O  O  O       | O   
 |                  |   |       O          | O   
 |                  |   |                  | O   
 |                  |   |                  | O  
v|                  |BAR|                  |     7 points match
 |                  |   |                  | X  
 |                  |   |                  | X   
 |                  |   |          X       | XX  
 |                  |   |       X  X       | XX  Rolled 31
 |                  |   | 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 40, X 25

* gnubg_checker3ply_cube2ply moves 6/5 3/off

Rolled 31:
*    1. Cubeful 3-ply    6/5 3/off                    Eq.: +0.828
       0.920 0.000 0.000 - 0.080 0.000 0.000
     2. Cubeful 3-ply    3/2 3/off                    Eq.: +0.827 (-0.002)
       0.919 0.000 0.000 - 0.081 0.000 0.000
     3. Cubeful 2-ply    3/off 2/1                    Eq.: +0.816 (-0.013)
       0.919 0.000 0.000 - 0.081 0.000 0.000
     4. Cubeful 2-ply    4/off                        Eq.: +0.802 (-0.026)
       0.913 0.000 0.000 - 0.087 0.000 0.000
     5. Cubeful 2-ply    4/1 3/2                      Eq.: +0.781 (-0.047)
       0.904 0.000 0.000 - 0.096 0.000 0.000


Move number 47:  sage_checker4ply_cube3ply to play 54

 GNU Backgammon  Position ID: 2gIAAHYbAAAAAA
                 Match ID   : AYHyAAAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: sage_checker4ply_cub (Cube: 2)
 |                  |   | O  O  O  O       | OO  0 points
 |                  |   | O  O  O  O       | O   Rolled 54
 |                  |   |       O          | O   
 |                  |   |                  | O   
 |                  |   |                  | O  
^|                  |BAR|                  |     7 points match
 |                  |   |                  | X  
 |                  |   |                  | XX  
 |                  |   |                  | XX  
 |                  |   |       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 40, X 21

* sage_checker4ply_cube3ply moves 5/off 4/off

Rolled 54:
*    5/off 4/off


Move number 48:  gnubg_checker3ply_cube2ply to play 42

 GNU Backgammon  Position ID: bA0AANoCAAAAAA
                 Match ID   : QQnqAAAAAAAE
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: sage_checker4ply_cub (Cube: 2)
 |                  |   | O  O  O  O       | OO  0 points
 |                  |   | O     O  O       | OO  
 |                  |   |                  | OO  
 |                  |   |                  | O   
 |                  |   |                  | O  
v|                  |BAR|                  |     7 points match
 |                  |   |                  | X  
 |                  |   |                  | XX  
 |                  |   |                  | XX  
 |                  |   |       X  X       | XX  Rolled 42
 |                  |   |    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 31, X 21

* gnubg_checker3ply_cube2ply moves 4/off 2/off

Rolled 42:
*    1. Cubeful 3-ply    4/off 2/off                  Eq.: +0.821
       0.916 0.000 0.000 - 0.084 0.000 0.000
     2. Cubeful 3-ply    4/off 3/1                    Eq.: +0.790 (-0.031)
       0.902 0.000 0.000 - 0.098 0.000 0.000
     3. Cubeful 2-ply    5/1 2/off                    Eq.: +0.759 (-0.063)
       0.888 0.000 0.000 - 0.112 0.000 0.000
     4. Cubeful 2-ply    4/2 4/off                    Eq.: +0.754 (-0.067)
       0.886 0.000 0.000 - 0.114 0.000 0.000
     5. Cubeful 2-ply    5/3 4/off                    Eq.: +0.714 (-0.107)
       0.867 0.000 0.000 - 0.133 0.000 0.000


Move number 49:  sage_checker4ply_cube3ply to play 61

 GNU Backgammon  Position ID: rAAAgK0BAAAAAA
                 Match ID   : AQHnAAAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: sage_checker4ply_cub (Cube: 2)
 |                  |   | O  O  O  O       | OO  0 points
 |                  |   | O     O  O       | OO  Rolled 61
 |                  |   |                  | OO  
 |                  |   |                  | O   
 |                  |   |                  | O  
^|                  |BAR|                  |     7 points match
 |                  |   |                  | XX 
 |                  |   |                  | XX  
 |                  |   |                  | XX  
 |                  |   |          X       | XX  
 |                  |   |    X  X  X       | XXX 0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 31, X 15

* sage_checker4ply_cube3ply moves 6/off 3/2

Rolled 61:
*    6/off 3/2


Move number 50:  gnubg_checker3ply_cube2ply to play 21

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

* gnubg_checker3ply_cube2ply moves 3/off

Rolled 21:
*    1. Cubeful 2-ply    3/off                        Eq.: +0.748
       0.883 0.000 0.000 - 0.117 0.000 0.000
     2. Cubeful 2-ply    3/2 3/1                      Eq.: +0.647 (-0.101)
       0.837 0.000 0.000 - 0.163 0.000 0.000
     3. Cubeful 2-ply    5/4 3/1                      Eq.: +0.633 (-0.114)
       0.830 0.000 0.000 - 0.170 0.000 0.000
     4. Cubeful 2-ply    5/2                          Eq.: +0.600 (-0.148)
       0.814 0.000 0.000 - 0.186 0.000 0.000
     5. Cubeful 2-ply    4/1                          Eq.: +0.596 (-0.152)
       0.813 0.000 0.000 - 0.187 0.000 0.000


Move number 51:  sage_checker4ply_cube3ply to play 51

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

* sage_checker4ply_cube3ply moves 5/off 4/3

Rolled 51:
*    5/off 4/3


Move number 52:  gnubg_checker3ply_cube2ply to play 42

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

* gnubg_checker3ply_cube2ply moves 4/off 3/1

Rolled 42:
*    1. Cubeful 2-ply    4/off 3/1                    Eq.: +0.864
       0.936 0.000 0.000 - 0.064 0.000 0.000
     2. Cubeful 2-ply    5/3 4/off                    Eq.: +0.801 (-0.063)
       0.906 0.000 0.000 - 0.094 0.000 0.000
     3. Cubeful 0-ply    5/1 4/2                      Eq.: +0.677 (-0.187)
       0.847 0.000 0.000 - 0.153 0.000 0.000
     4. Cubeful 0-ply    5/1 3/1                      Eq.: +0.677 (-0.187)
       0.847 0.000 0.000 - 0.153 0.000 0.000


Move number 53:  sage_checker4ply_cube3ply to play 33

 GNU Backgammon  Position ID: IQAA0BIAAAAAAA
                 Match ID   : AYHtAAAAAAAE
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: sage_checker4ply_cub (Cube: 2)
 |                  |   | O     O  O  O    | OO  0 points
 |                  |   |          O       | OO  Rolled 33
 |                  |   |                  | OO  
 |                  |   |                  | OO  
 |                  |   |                  | OO 
^|                  |BAR|                  |     7 points match
 |                  |   |                  | XX 
 |                  |   |                  | XX  
 |                  |   |                  | XXX 
 |                  |   |                  | XXX 
 |                  |   |    X           X | XXX 0 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: gnubg_checker3ply_cube2ply
Pip counts: O 18, X 6

* sage_checker4ply_cube3ply moves 6/off 3/off(2)

Rolled 33:
*    6/off 3/off(2)


Move number 54:  gnubg_checker3ply_cube2ply to play 42

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

* gnubg_checker3ply_cube2ply moves 5/off

Rolled 42:
*    1. Cubeful 0-ply    5/off                        Eq.: -0.576
       0.361 0.000 0.000 - 0.639 0.000 0.000


Move number 55:  sage_checker4ply_cube3ply on roll, cube decision?

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

* sage_checker4ply_cube3ply doubles


Cube analysis
2-ply cubeless equity +0.278 (Money: +0.278)
  0.639 0.000 0.000 - 0.361 0.000 0.000
Cubeful equities:
1. Double, take        +0.576
2. Double, pass        +1.000  (+0.424)
3. No double           +0.278  (-0.298)
Proper cube action: Redouble, take
Move number 56:  sage_checker4ply_cube3ply doubles to 4

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

* gnubg_checker3ply_cube2ply accepts


Cube analysis
2-ply cubeless equity -0.278 (Money: -0.278)
  0.361 0.000 0.000 - 0.639 0.000 0.000
Cubeful equities:
1. Double, take        -0.576
2. Double, pass        -1.000  (-0.424)
3. No double           -0.278  (+0.298)
Proper cube action: Redouble, take
Move number 57:  sage_checker4ply_cube3ply to play 52

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

* sage_checker4ply_cube3ply moves 4/off 2/off

Rolled 52:
*    4/off 2/off


sage_checker4ply_cube3ply wins 4 points

Game statistics for game 1

Player                                   sage_checker4ply_cube3ply gnubg_checker3ply_cube2ply

Chequerplay statistics

Total moves                               27                      26                    
Unforced moves                             1                      25                    
Unmarked moves                            27                      26                    
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                       1                       7                    
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                             +26.21%                 -26.21%               
Luck adjusted result                      +26.21%                 -26.21%               
Luck based FIBS rating diff.             +382.19                                        
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

