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

Match Information:
Date: 07/17/26

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 (+0.033):
     1. Cubeful 4-ply    13/10 13/9                   Eq.: +0.006
       0.497 0.154 0.008 - 0.503 0.142 0.008
*    2. Cubeful 4-ply    24/21 13/9                   Eq.: +0.005 (-0.001)
       0.499 0.141 0.007 - 0.501 0.133 0.006
     3. Cubeful 4-ply    24/20 13/10                  Eq.: +0.000 (-0.005)
       0.500 0.136 0.006 - 0.500 0.131 0.006
     4. Cubeful 4-ply    24/21 24/20                  Eq.: -0.013 (-0.019)
       0.500 0.124 0.005 - 0.500 0.130 0.004
     5. Cubeful 2-ply    13/9 8/5                     Eq.: -0.074 (-0.080)
       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

Cube analysis
4-ply cubeless equity -0.007 (Money: -0.007)
  0.501 0.133 0.006 - 0.499 0.141 0.007
Cubeful equities:
1. No double           -0.005
2. Double, pass        +1.000  (+1.005)
3. Double, take        -0.352  (-0.348)
Proper cube action: No double, take (25.7%)

Rolled 61 (-0.087):
*    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 2-ply    24/23 13/7                   Eq.: -0.274 (-0.171)
       0.435 0.111 0.005 - 0.565 0.171 0.010
     4. Cubeful 2-ply    13/6                         Eq.: -0.288 (-0.185)
       0.431 0.107 0.004 - 0.569 0.167 0.009
     5. Cubeful 2-ply    8/1*                         Eq.: -0.302 (-0.200)
       0.430 0.109 0.004 - 0.570 0.174 0.011


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)

Cube analysis
4-ply cubeless equity +0.079 (Money: +0.078)
  0.523 0.149 0.007 - 0.477 0.120 0.004
Cubeful equities:
1. No double           +0.112
2. Double, pass        +1.000  (+0.888)
3. Double, take        -0.173  (-0.285)
Proper cube action: No double, take (24.3%)

Rolled 22 (+0.160):
*    1. Cubeful 4-ply    13/9 6/4(2)                  Eq.: +0.280
       0.566 0.173 0.009 - 0.434 0.117 0.004
     2. Cubeful 4-ply    13/11(2) 6/4(2)              Eq.: +0.261 (-0.019)
       0.561 0.181 0.010 - 0.439 0.128 0.006
     3. Cubeful 2-ply    24/22 13/11 6/4(2)           Eq.: +0.166 (-0.114)
       0.546 0.167 0.010 - 0.454 0.143 0.008
     4. Cubeful 2-ply    24/20 6/4(2)                 Eq.: +0.142 (-0.138)
       0.540 0.152 0.008 - 0.460 0.132 0.006
     5. Cubeful 2-ply    13/11 8/4 6/4                Eq.: +0.129 (-0.151)
       0.531 0.172 0.011 - 0.469 0.140 0.008


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

Cube analysis
4-ply cubeless equity -0.195 (Money: -0.193)
  0.434 0.117 0.004 - 0.566 0.173 0.009
Cubeful equities:
1. No double           -0.280
2. Double, pass        +1.000  (+1.280)
3. Double, take        -0.784  (-0.504)
Proper cube action: No double, take (28.2%)

Rolled 51 (-0.137):
*    1. Cubeful 4-ply    24/23 13/8                   Eq.: -0.438
       0.399 0.094 0.003 - 0.601 0.178 0.007
     2. Cubeful 4-ply    24/18                        Eq.: -0.465 (-0.027)
       0.404 0.089 0.003 - 0.596 0.207 0.008
     3. Cubeful 4-ply    13/7                         Eq.: -0.495 (-0.058)
       0.387 0.097 0.003 - 0.613 0.186 0.009
     4. Cubeful 2-ply    24/23 6/1*                   Eq.: -0.514 (-0.077)
       0.380 0.090 0.002 - 0.620 0.190 0.011
     5. Cubeful 2-ply    13/8 6/5                     Eq.: -0.527 (-0.090)
       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

Cube analysis
4-ply cubeless equity +0.293 (Money: +0.291)
  0.601 0.178 0.007 - 0.399 0.094 0.003
Cubeful equities:
1. No double           +0.438
2. Double, pass        +1.000  (+0.562)
3. Double, take        +0.319  (-0.119)
Proper cube action: No double, take (17.4%)

Rolled 65 (-0.054):
*    1. Cubeful 4-ply    21/10                        Eq.: +0.383
       0.598 0.155 0.006 - 0.402 0.099 0.003
     2. Cubeful 4-ply    21/15 13/8                   Eq.: +0.313 (-0.069)
       0.580 0.160 0.007 - 0.420 0.112 0.004
     3. Cubeful 2-ply    9/3 8/3                      Eq.: +0.207 (-0.176)
       0.546 0.179 0.008 - 0.454 0.120 0.005
     4. Cubeful 2-ply    13/2*                        Eq.: +0.180 (-0.203)
       0.539 0.174 0.009 - 0.461 0.123 0.006
     5. Cubeful 2-ply    21/15 6/1*                   Eq.: +0.176 (-0.207)
       0.550 0.156 0.006 - 0.450 0.131 0.006


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*

Cube analysis
4-ply cubeless equity -0.255 (Money: -0.254)
  0.402 0.099 0.003 - 0.598 0.155 0.006
Cubeful equities:
1. No double           -0.383
2. Double, pass        +1.000  (+1.383)
3. Double, take        -0.956  (-0.573)
Proper cube action: No double, take (29.3%)

Rolled 53 (+0.286):
*    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.: -0.481 (-0.402)
       0.380 0.104 0.003 - 0.620 0.190 0.007
     3. Cubeful 0-ply    23/20 6/1*                   Eq.: -0.604 (-0.526)
       0.354 0.085 0.002 - 0.646 0.204 0.009
     4. Cubeful 0-ply    23/20 13/8                   Eq.: -0.695 (-0.616)
       0.338 0.081 0.002 - 0.662 0.224 0.007
     5. Cubeful 0-ply    13/10 6/1*                   Eq.: -0.714 (-0.636)
       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

Cube analysis
4-ply cubeless equity +0.047 (Money: +0.047)
  0.511 0.148 0.006 - 0.489 0.125 0.005
Cubeful equities:
1. No double           +0.072
2. Double, pass        +1.000  (+0.928)
3. Double, take        -0.244  (-0.316)
Proper cube action: No double, take (25.4%)

Rolled 42 (-0.128):
*    1. Cubeful 4-ply    bar/21 24/22                 Eq.: -0.095
       0.480 0.116 0.004 - 0.520 0.139 0.004
     2. Cubeful 4-ply    bar/23 24/20                 Eq.: -0.102 (-0.006)
       0.475 0.120 0.005 - 0.525 0.134 0.004
     3. Cubeful 4-ply    bar/21 8/6                   Eq.: -0.111 (-0.016)
       0.469 0.125 0.004 - 0.531 0.132 0.005
     4. Cubeful 4-ply    bar/23 13/9                  Eq.: -0.146 (-0.051)
       0.463 0.126 0.004 - 0.537 0.145 0.005
     5. Cubeful 2-ply    bar/21 13/11                 Eq.: -0.148 (-0.053)
       0.464 0.125 0.006 - 0.536 0.154 0.007


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
4-ply cubeless equity +0.064 (Money: +0.064)
  0.520 0.139 0.004 - 0.480 0.116 0.004
Cubeful equities:
1. No double           +0.095
2. Double, pass        +1.000  (+0.905)
3. Double, take        -0.203  (-0.298)
Proper cube action: No double, take (24.8%)

Rolled 21 (-0.112):
*    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 2-ply    24/23 15/13                  Eq.: -0.210 (-0.154)
       0.450 0.097 0.002 - 0.550 0.145 0.004
     4. Cubeful 2-ply    6/3*                         Eq.: -0.281 (-0.225)
       0.439 0.098 0.003 - 0.561 0.167 0.008
     5. Cubeful 2-ply    7/5 6/5                      Eq.: -0.302 (-0.246)
       0.429 0.120 0.005 - 0.571 0.177 0.011


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

Cube analysis
4-ply cubeless equity +0.035 (Money: +0.034)
  0.511 0.151 0.008 - 0.489 0.141 0.005
Cubeful equities:
1. No double           +0.056
2. Double, pass        +1.000  (+0.944)
3. Double, take        -0.269  (-0.325)
Proper cube action: No double, take (25.6%)

Rolled 21 (-0.201):
*    1. Cubeful 0-ply    bar/24 bar/23                Eq.: -0.168
       0.460 0.129 0.005 - 0.540 0.165 0.005


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
4-ply cubeless equity +0.094 (Money: +0.093)
  0.529 0.165 0.007 - 0.471 0.131 0.005
Cubeful equities:
1. No double           +0.138
2. Double, pass        +1.000  (+0.862)
3. Double, take        -0.137  (-0.276)
Proper cube action: No double, take (24.2%)

Rolled 32 (+0.042):
*    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 2-ply    24/22 6/3                    Eq.: -0.002 (-0.190)
       0.508 0.150 0.007 - 0.492 0.168 0.006
     5. Cubeful 0-ply    6/4 6/3                      Eq.: -0.223 (-0.411)
       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

Cube analysis
4-ply cubeless equity -0.138 (Money: -0.137)
  0.450 0.115 0.003 - 0.550 0.149 0.005
Cubeful equities:
1. No double           -0.200
2. Double, pass        +1.000  (+1.200)
3. Double, take        -0.665  (-0.465)
Proper cube action: No double, take (27.9%)

Rolled 51 (-0.169):
*    1. Cubeful 4-ply    24/23 13/8                   Eq.: -0.398
       0.393 0.096 0.003 - 0.607 0.125 0.005
     2. Cubeful 4-ply    24/23 8/3                    Eq.: -0.440 (-0.043)
       0.384 0.097 0.003 - 0.616 0.139 0.007
     3. Cubeful 2-ply    13/7                         Eq.: -0.448 (-0.050)
       0.395 0.101 0.004 - 0.605 0.189 0.010
     4. Cubeful 2-ply    24/23 6/1*                   Eq.: -0.454 (-0.056)
       0.381 0.096 0.003 - 0.619 0.160 0.008
     5. Cubeful 2-ply    8/7 6/1*                     Eq.: -0.466 (-0.068)
       0.392 0.103 0.003 - 0.608 0.195 0.013


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
4-ply cubeless equity +0.246 (Money: +0.245)
  0.607 0.125 0.005 - 0.393 0.096 0.003
Cubeful equities:
1. No double           +0.398
2. Double, pass        +1.000  (+0.602)
3. Double, take        +0.231  (-0.167)
Proper cube action: No double, take (21.7%)

Rolled 41 (-0.175):
*    1. Cubeful 4-ply    13/9 8/7                     Eq.: +0.274
       0.577 0.135 0.005 - 0.423 0.115 0.003
     2. Cubeful 4-ply    13/8                         Eq.: +0.250 (-0.024)
       0.573 0.128 0.005 - 0.427 0.113 0.003
     3. Cubeful 4-ply    24/20 8/7                    Eq.: +0.222 (-0.053)
       0.567 0.137 0.006 - 0.433 0.134 0.003
     4. Cubeful 4-ply    24/23 13/9                   Eq.: +0.174 (-0.100)
       0.553 0.138 0.005 - 0.447 0.133 0.004
     5. Cubeful 2-ply    13/9 6/5                     Eq.: +0.073 (-0.202)
       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

Cube analysis
4-ply cubeless equity -0.176 (Money: -0.175)
  0.423 0.115 0.003 - 0.577 0.135 0.005
Cubeful equities:
1. No double           -0.274
2. Double, pass        +1.000  (+1.274)
3. Double, take        -0.794  (-0.520)
Proper cube action: No double, take (29.0%)

Rolled 42 (-0.226):
*    1. Cubeful 4-ply    23/21 8/4                    Eq.: -0.532
       0.376 0.093 0.004 - 0.624 0.215 0.008
     2. Cubeful 4-ply    13/11 13/9                   Eq.: -0.557 (-0.025)
       0.348 0.079 0.002 - 0.652 0.114 0.004
     3. Cubeful 4-ply    8/6 8/4                      Eq.: -0.565 (-0.033)
       0.347 0.089 0.002 - 0.653 0.124 0.005
     4. Cubeful 4-ply    9/5 8/6                      Eq.: -0.581 (-0.049)
       0.350 0.092 0.003 - 0.650 0.163 0.009
     5. Cubeful 2-ply    8/2                          Eq.: -0.595 (-0.063)
       0.346 0.087 0.003 - 0.654 0.151 0.007


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
4-ply cubeless equity +0.377 (Money: +0.374)
  0.624 0.215 0.008 - 0.376 0.093 0.004
Cubeful equities:
1. No double           +0.532
2. Double, pass        +1.000  (+0.468)
3. Double, take        +0.505  (-0.027)
Proper cube action: No double, take (5.5%)

Rolled 52 (+0.250):
*    1. Cubeful 0-ply    9/4* 6/4                     Eq.: +0.765
       0.680 0.242 0.008 - 0.320 0.075 0.002
     2. Cubeful 0-ply    9/4*/2*                      Eq.: +0.409 (-0.356)
       0.582 0.245 0.007 - 0.418 0.117 0.005
     3. Cubeful 0-ply    13/8 9/7                     Eq.: +0.179 (-0.586)
       0.548 0.145 0.003 - 0.452 0.115 0.003
     4. Cubeful 0-ply    7/2* 6/4*                    Eq.: +0.157 (-0.608)
       0.534 0.216 0.008 - 0.466 0.169 0.014
     5. Cubeful 0-ply    13/11 9/4*                   Eq.: +0.117 (-0.648)
       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

Cube analysis
4-ply cubeless equity -0.578 (Money: -0.574)
  0.309 0.071 0.003 - 0.691 0.255 0.010
Cubeful equities:
1. No double           -0.861
2. Double, pass        +1.000  (+1.861)
3. Double, take        -1.726  (-0.865)
Proper cube action: No double, take (31.7%)
Alert: very lucky roll! ( +0.698)

Rolled 53 (+0.698):
*    1. Cubeful 0-ply    bar/20 23/20                 Eq.: -0.108
       0.460 0.076 0.002 - 0.540 0.065 0.001
     2. Cubeful 0-ply    bar/20 4/1*                  Eq.: -0.704 (-0.596)
       0.346 0.087 0.003 - 0.654 0.252 0.011
     3. Cubeful 0-ply    bar/20 9/6                   Eq.: -1.000 (-0.892)
       0.298 0.078 0.003 - 0.702 0.299 0.013
     4. Cubeful 0-ply    bar/20 8/5                   Eq.: -1.000 (-0.892)
       0.318 0.081 0.004 - 0.682 0.338 0.019
     5. Cubeful 0-ply    bar/20 6/3                   Eq.: -1.000 (-0.892)
       0.303 0.071 0.003 - 0.697 0.333 0.016


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
4-ply cubeless equity +0.044 (Money: +0.045)
  0.533 0.060 0.001 - 0.467 0.080 0.002
Cubeful equities:
1. No double           +0.086
2. Double, pass        +1.000  (+0.914)
3. Double, take        -0.224  (-0.310)
Proper cube action: No double, take (25.3%)

Rolled 11 (-0.139):
*    1. Cubeful 4-ply    8/6(2)                       Eq.: -0.118
       0.477 0.063 0.001 - 0.523 0.094 0.002
     2. Cubeful 4-ply    24/22 3/2(2)                 Eq.: -0.143 (-0.025)
       0.479 0.062 0.001 - 0.521 0.118 0.002
     3. Cubeful 4-ply    24/23 7/6 3/2(2)             Eq.: -0.159 (-0.041)
       0.471 0.062 0.001 - 0.529 0.110 0.002
     4. Cubeful 4-ply    3/1(2)                       Eq.: -0.167 (-0.049)
       0.467 0.063 0.001 - 0.533 0.108 0.002
     5. Cubeful 2-ply    24/23 8/6 8/7                Eq.: -0.171 (-0.053)
       0.464 0.066 0.001 - 0.536 0.114 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

Cube analysis
4-ply cubeless equity +0.079 (Money: +0.078)
  0.523 0.094 0.002 - 0.477 0.063 0.001
Cubeful equities:
1. No double           +0.118
2. Double, pass        +1.000  (+0.882)
3. Double, take        -0.172  (-0.290)
Proper cube action: No double, take (24.8%)

Rolled 32 (-0.229):
*    1. Cubeful 2-ply    13/11 13/10                  Eq.: -0.089
       0.473 0.075 0.003 - 0.527 0.069 0.001
     2. Cubeful 2-ply    8/6 4/1*                     Eq.: -0.231 (-0.141)
       0.432 0.090 0.003 - 0.568 0.107 0.003
     3. Cubeful 2-ply    8/3                          Eq.: -0.245 (-0.156)
       0.431 0.081 0.003 - 0.569 0.105 0.003
     4. Cubeful 2-ply    13/11 4/1*                   Eq.: -0.261 (-0.172)
       0.428 0.091 0.003 - 0.572 0.125 0.004
     5. Cubeful 2-ply    9/6 8/6                      Eq.: -0.272 (-0.182)
       0.414 0.070 0.002 - 0.586 0.074 0.002


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
4-ply cubeless equity +0.039 (Money: +0.039)
  0.526 0.066 0.001 - 0.474 0.078 0.002
Cubeful equities:
1. No double           +0.086
2. Double, pass        +1.000  (+0.914)
3. Double, take        -0.238  (-0.324)
Proper cube action: No double, take (26.2%)

Rolled 51 (-0.231):
*    1. Cubeful 4-ply    24/18                        Eq.: -0.149
       0.474 0.065 0.001 - 0.526 0.111 0.002
     2. Cubeful 4-ply    13/7                         Eq.: -0.179 (-0.030)
       0.459 0.060 0.001 - 0.541 0.095 0.002
     3. Cubeful 4-ply    7/2 3/2                      Eq.: -0.247 (-0.098)
       0.439 0.061 0.001 - 0.561 0.103 0.002
     4. Cubeful 2-ply    7/1                          Eq.: -0.247 (-0.098)
       0.437 0.064 0.001 - 0.563 0.109 0.003
     5. Cubeful 2-ply    13/8 7/6                     Eq.: -0.269 (-0.120)
       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

Cube analysis
4-ply cubeless equity +0.099 (Money: +0.098)
  0.526 0.111 0.002 - 0.474 0.065 0.001
Cubeful equities:
1. No double           +0.149
2. Double, pass        +1.000  (+0.851)
3. Double, take        -0.139  (-0.288)
Proper cube action: No double, take (25.3%)

Rolled 64 (-0.134):
*    1. Cubeful 2-ply    11/7* 10/4                   Eq.: -0.017
       0.486 0.094 0.002 - 0.514 0.065 0.001
     2. Cubeful 2-ply    11/7*/1                      Eq.: -0.118 (-0.101)
       0.459 0.091 0.002 - 0.541 0.082 0.002
     3. Cubeful 2-ply    11/7* 8/2                    Eq.: -0.221 (-0.204)
       0.437 0.094 0.003 - 0.563 0.116 0.004
     4. Cubeful 2-ply    20/14 11/7*                  Eq.: -0.224 (-0.206)
       0.457 0.099 0.003 - 0.543 0.201 0.014
     5. Cubeful 2-ply    11/5 10/6                    Eq.: -0.391 (-0.374)
       0.370 0.029 0.001 - 0.630 0.031 0.001


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*

Cube analysis
4-ply cubeless equity +0.002 (Money: +0.002)
  0.516 0.061 0.001 - 0.484 0.091 0.002
Cubeful equities:
1. No double           +0.021
2. Double, pass        +1.000  (+0.979)
3. Double, take        -0.327  (-0.347)
Proper cube action: No double, take (26.2%)
Alert: very lucky roll! ( +0.688)

Rolled 43 (+0.688):
*    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.: -0.257 (-0.913)
       0.442 0.074 0.001 - 0.558 0.136 0.003
     3. Cubeful 0-ply    bar/22 6/2                   Eq.: -0.289 (-0.944)
       0.438 0.072 0.002 - 0.562 0.150 0.004
     4. Cubeful 0-ply    bar/22 13/9                  Eq.: -0.405 (-1.060)
       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

Cube analysis
4-ply cubeless equity -0.461 (Money: -0.460)
  0.289 0.039 0.001 - 0.711 0.075 0.002
Cubeful equities:
1. No double           -0.746
2. Double, pass        +1.000  (+1.746)
3. Double, take        -1.561  (-0.814)
Proper cube action: No double, take (31.8%)

Rolled 41 (+0.010):
*    1. Cubeful 2-ply    bar/20                       Eq.: -0.821
       0.264 0.021 0.001 - 0.736 0.041 0.001
     2. Cubeful 2-ply    bar/24 6/2                   Eq.: -1.000 (-0.179)
       0.237 0.026 0.001 - 0.763 0.084 0.002
     3. Cubeful 2-ply    bar/24 8/4                   Eq.: -1.000 (-0.179)
       0.236 0.027 0.001 - 0.764 0.096 0.003
     4. Cubeful 2-ply    bar/24 9/5                   Eq.: -1.000 (-0.179)
       0.243 0.031 0.001 - 0.757 0.134 0.004
     5. Cubeful 0-ply    bar/24 20/16                 Eq.: -1.086 (-0.266)
       0.213 0.041 0.001 - 0.787 0.344 0.021


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


Cube analysis
4-ply cubeless equity +0.491 (Money: +0.491)
  0.737 0.036 0.001 - 0.263 0.020 0.000
Cubeful equities:
1. Double, take        +0.818
2. Double, pass        +1.000  (+0.182)
3. No double           +0.808  (-0.010)
Proper cube action: Double, take
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


Cube analysis
4-ply cubeless equity -0.491 (Money: -0.491)
  0.263 0.020 0.000 - 0.737 0.036 0.001
Cubeful equities:
1. Double, take        -0.818
2. Double, pass        -1.000  (-0.182)
3. No double           -0.808  (+0.010)
Proper cube action: Double, take
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 (+0.006):
*    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 2-ply    13/6                         Eq.: +0.186 (-0.257)
       0.640 0.078 0.002 - 0.360 0.054 0.001


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

Cube analysis
4-ply cubeless equity -0.532 (Money: -0.531)
  0.243 0.015 0.000 - 0.757 0.032 0.000
Cubeful equities:
1. No double           -0.451
2. Double, pass        +1.000  (+1.451)
3. Double, take        -1.991  (-1.540)
Proper cube action: No redouble, take (51.5%)

Rolled 54 (-0.001):
*    1. Cubeful 4-ply    20/11                        Eq.: -0.419
       0.257 0.017 0.000 - 0.743 0.035 0.001
     2. Cubeful 4-ply    9/5 8/3                      Eq.: -0.455 (-0.036)
       0.243 0.014 0.000 - 0.757 0.034 0.001
     3. Cubeful 4-ply    9/5 9/4                      Eq.: -0.469 (-0.050)
       0.237 0.013 0.000 - 0.763 0.034 0.001
     4. Cubeful 4-ply    8/3 6/2                      Eq.: -0.472 (-0.053)
       0.237 0.014 0.000 - 0.763 0.038 0.001
     5. Cubeful 2-ply    8/4 8/3                      Eq.: -0.486 (-0.068)
       0.233 0.015 0.000 - 0.767 0.043 0.001


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 (-0.017):
     1. Cubeful 4-ply    7/2 6/2                      Eq.: +0.420
       0.745 0.029 0.000 - 0.255 0.016 0.000
*    2. Cubeful 4-ply    13/4                         Eq.: +0.417 (-0.002)
       0.742 0.039 0.001 - 0.258 0.019 0.000
     3. Cubeful 4-ply    12/3                         Eq.: +0.391 (-0.028)
       0.727 0.051 0.002 - 0.273 0.024 0.001
     4. Cubeful 4-ply    13/8 12/8                    Eq.: +0.388 (-0.032)
       0.720 0.069 0.003 - 0.280 0.029 0.001
     5. Cubeful 2-ply    7/3 6/1                      Eq.: +0.368 (-0.052)
       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

Cube analysis
4-ply cubeless equity -0.506 (Money: -0.505)
  0.258 0.019 0.000 - 0.742 0.039 0.001
Cubeful equities:
1. No double           -0.417
2. Double, pass        +1.000  (+1.417)
3. Double, take        -1.806  (-1.389)
Proper cube action: No redouble, take (49.5%)

Rolled 43 (-0.100):
*    1. Cubeful 4-ply    9/5 8/5                      Eq.: -0.504
       0.218 0.008 0.000 - 0.782 0.020 0.001
     2. Cubeful 4-ply    11/7 8/5                     Eq.: -0.532 (-0.028)
       0.208 0.007 0.000 - 0.792 0.023 0.001
     3. Cubeful 4-ply    9/6 9/5                      Eq.: -0.543 (-0.039)
       0.205 0.007 0.000 - 0.795 0.025 0.001
     4. Cubeful 4-ply    11/7 9/6                     Eq.: -0.553 (-0.048)
       0.201 0.006 0.000 - 0.799 0.026 0.001
     5. Cubeful 2-ply    8/5 6/2                      Eq.: -0.541 (-0.037)
       0.205 0.007 0.000 - 0.795 0.025 0.000


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 (+0.190):
*    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 2-ply    13/7 4/1(2)                  Eq.: +0.525 (-0.162)
       0.792 0.019 0.000 - 0.208 0.009 0.000
     5. Cubeful 2-ply    13/4 6/3                     Eq.: +0.513 (-0.174)
       0.785 0.023 0.000 - 0.215 0.011 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

Cube analysis
4-ply cubeless equity -0.736 (Money: -0.735)
  0.136 0.002 0.000 - 0.864 0.009 0.000
Cubeful equities:
1. No double           -0.690
2. Double, pass        +1.000  (+1.690)
3. Double, take        -2.066  (-1.376)
Proper cube action: No redouble, take (44.9%)

Rolled 64 (+0.013):
*    1. Cubeful 4-ply    11/7 9/3                     Eq.: -0.660
       0.151 0.002 0.000 - 0.849 0.011 0.000
     2. Cubeful 4-ply    9/5 8/2                      Eq.: -0.660 (-0.000)
       0.150 0.001 0.000 - 0.850 0.011 0.000
     3. Cubeful 4-ply    11/7 8/2                     Eq.: -0.662 (-0.003)
       0.149 0.001 0.000 - 0.851 0.011 0.000
     4. Cubeful 4-ply    9/3 6/2                      Eq.: -0.664 (-0.004)
       0.149 0.001 0.000 - 0.851 0.012 0.000
     5. Cubeful 2-ply    11/5 9/5                     Eq.: -0.660 (-0.000)
       0.149 0.001 0.000 - 0.851 0.009 0.000


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 (-0.049):
     1. Cubeful 4-ply    7/3 4/2                      Eq.: +0.622
       0.833 0.013 0.000 - 0.167 0.002 0.000
     2. Cubeful 4-ply    7/1                          Eq.: +0.617 (-0.005)
       0.832 0.011 0.000 - 0.168 0.003 0.000
*    3. Cubeful 4-ply    6/2 3/1                      Eq.: +0.617 (-0.005)
       0.831 0.012 0.000 - 0.169 0.003 0.000
     4. Cubeful 4-ply    6/2 4/2                      Eq.: +0.615 (-0.007)
       0.832 0.009 0.000 - 0.168 0.002 0.000
     5. Cubeful 2-ply    7/3 6/4                      Eq.: +0.588 (-0.034)
       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

Cube analysis
4-ply cubeless equity -0.673 (Money: -0.672)
  0.169 0.003 0.000 - 0.831 0.012 0.000
Cubeful equities:
1. No double           -0.617
2. Double, pass        +1.000  (+1.617)
3. Double, take        -2.040  (-1.423)
Proper cube action: No redouble, take (46.8%)

Rolled 43 (-0.045):
*    1. Cubeful 4-ply    8/5 7/3                      Eq.: -0.633
       0.162 0.002 0.000 - 0.838 0.011 0.000
     2. Cubeful 4-ply    8/5 6/2                      Eq.: -0.636 (-0.003)
       0.161 0.002 0.000 - 0.839 0.012 0.000
     3. Cubeful 4-ply    7/3 4/1                      Eq.: -0.636 (-0.003)
       0.161 0.002 0.000 - 0.839 0.011 0.000
     4. Cubeful 4-ply    6/2 4/1                      Eq.: -0.642 (-0.009)
       0.158 0.002 0.000 - 0.842 0.012 0.000
     5. Cubeful 2-ply    8/1                          Eq.: -0.634 (-0.001)
       0.160 0.002 0.000 - 0.840 0.009 0.000


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 (-0.103):
*    1. Cubeful 4-ply    7/3(4)                       Eq.: +0.526
       0.791 0.015 0.000 - 0.209 0.008 0.000
     2. Cubeful 4-ply    7/3 6/2(3)                   Eq.: +0.456 (-0.071)
       0.763 0.014 0.000 - 0.237 0.011 0.000
     3. Cubeful 0-ply    7/3(3) 6/2                   Eq.: +0.145 (-0.382)
       0.642 0.026 0.000 - 0.358 0.035 0.000
     4. Cubeful 0-ply    7/3(2) 6/2(2)                Eq.: +0.097 (-0.430)
       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

Cube analysis
4-ply cubeless equity -0.589 (Money: -0.589)
  0.209 0.008 0.000 - 0.791 0.015 0.000
Cubeful equities:
1. No double           -0.526
2. Double, pass        +1.000  (+1.526)
3. Double, take        -2.059  (-1.532)
Proper cube action: No redouble, take (50.1%)

Rolled 55 (+0.124):
*    1. Cubeful 4-ply    20/5 8/3                     Eq.: -0.431
       0.248 0.004 0.000 - 0.752 0.003 0.000
     2. Cubeful 4-ply    20/5 6/1                     Eq.: -0.444 (-0.013)
       0.243 0.007 0.000 - 0.757 0.006 0.000
     3. Cubeful 4-ply    20/10 8/3 6/1                Eq.: -0.445 (-0.013)
       0.243 0.006 0.000 - 0.757 0.006 0.000
     4. Cubeful 4-ply    20/10 6/1(2)                 Eq.: -0.492 (-0.061)
       0.223 0.005 0.000 - 0.777 0.011 0.000
     5. Cubeful 2-ply    20/15 8/3 6/1(2)             Eq.: -0.530 (-0.099)
       0.206 0.003 0.000 - 0.794 0.012 0.000


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
Alert: lucky roll! ( +0.329)

Rolled 53 (+0.329):
*    1. Cubeful 0-ply    9/6 9/4                      Eq.: +0.719
       0.881 0.001 0.000 - 0.119 0.000 0.000
     2. Cubeful 0-ply    6/1 4/1                      Eq.: +0.350 (-0.370)
       0.727 0.002 0.000 - 0.273 0.004 0.000
     3. Cubeful 0-ply    9/1                          Eq.: -0.050 (-0.769)
       0.560 0.004 0.000 - 0.440 0.009 0.000
     4. Cubeful 0-ply    9/4 6/3                      Eq.: -0.160 (-0.879)
       0.514 0.002 0.000 - 0.486 0.010 0.000
     5. Cubeful 0-ply    6/3 6/1                      Eq.: -0.260 (-0.979)
       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

Cube analysis
4-ply cubeless equity -0.722 (Money: -0.722)
  0.139 0.000 0.000 - 0.861 0.000 0.000
Cubeful equities:
1. No double           -0.680
2. Double, pass        +1.000  (+1.680)
3. Double, take        -2.001  (-1.321)
Proper cube action: No redouble, take (44.0%)

Rolled 53 (-0.028):
*    1. Cubeful 4-ply    20/12                        Eq.: -0.707
       0.128 0.000 0.000 - 0.872 0.000 0.000
     2. Cubeful 4-ply    20/15 4/1                    Eq.: -0.726 (-0.019)
       0.119 0.000 0.000 - 0.881 0.000 0.000
     3. Cubeful 4-ply    20/15 5/2                    Eq.: -0.726 (-0.020)
       0.119 0.000 0.000 - 0.881 0.000 0.000
     4. Cubeful 4-ply    20/17 6/1                    Eq.: -0.739 (-0.032)
       0.114 0.000 0.000 - 0.886 0.000 0.000
     5. Cubeful 2-ply    20/15 6/3                    Eq.: -0.736 (-0.029)
       0.115 0.000 0.000 - 0.885 0.000 0.000


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 (-0.015):
*    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

Cube analysis
4-ply cubeless equity -0.735 (Money: -0.735)
  0.132 0.000 0.000 - 0.868 0.000 0.000
Cubeful equities:
1. No double           -0.696
2. Double, pass        +1.000  (+1.696)
3. Double, take        -1.998  (-1.302)
Proper cube action: No redouble, take (43.4%)

Rolled 21 (-0.142):
*    1. Cubeful 4-ply    12/10 3/2                    Eq.: -0.845
       0.067 0.000 0.000 - 0.933 0.000 0.000
     2. Cubeful 4-ply    3/2 3/1                      Eq.: -0.851 (-0.006)
       0.065 0.000 0.000 - 0.935 0.000 0.000
     3. Cubeful 4-ply    12/11 3/1                    Eq.: -0.852 (-0.006)
       0.065 0.000 0.000 - 0.935 0.000 0.000
     4. Cubeful 4-ply    12/11 4/2                    Eq.: -0.853 (-0.008)
       0.064 0.000 0.000 - 0.936 0.000 0.000
     5. Cubeful 2-ply    12/9                         Eq.: -0.853 (-0.008)
       0.064 0.000 0.000 - 0.936 0.000 0.000


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 (-0.021):
*    1. Cubeful 4-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 4-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 4-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 4-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

Cube analysis
4-ply cubeless equity -0.846 (Money: -0.846)
  0.077 0.000 0.000 - 0.923 0.000 0.000
Cubeful equities:
1. No double           -0.823
2. Double, pass        +1.000  (+1.823)
3. Double, take        -2.057  (-1.234)
Proper cube action: No redouble, take (40.4%)

Rolled 64 (+0.018):
*    1. Cubeful 4-ply    10/off                       Eq.: -0.804
       0.085 0.000 0.000 - 0.915 0.000 0.000
     2. Cubeful 4-ply    10/4 5/1                     Eq.: -0.835 (-0.031)
       0.072 0.000 0.000 - 0.928 0.000 0.000
     3. Cubeful 4-ply    10/4 6/2                     Eq.: -0.837 (-0.033)
       0.071 0.000 0.000 - 0.929 0.000 0.000


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 (-0.072):
*    1. Cubeful 4-ply    4/off 2/1                    Eq.: +0.732
       0.883 0.000 0.000 - 0.117 0.000 0.000
     2. Cubeful 4-ply    6/5 4/off                    Eq.: +0.725 (-0.007)
       0.880 0.000 0.000 - 0.120 0.000 0.000
     3. Cubeful 4-ply    4/off 3/2                    Eq.: +0.723 (-0.008)
       0.880 0.000 0.000 - 0.120 0.000 0.000
     4. Cubeful 4-ply    4/3 4/off                    Eq.: +0.703 (-0.029)
       0.871 0.000 0.000 - 0.129 0.000 0.000
     5. Cubeful 2-ply    5/off                        Eq.: +0.687 (-0.044)
       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

Cube analysis
4-ply cubeless equity -0.766 (Money: -0.766)
  0.117 0.000 0.000 - 0.883 0.000 0.000
Cubeful equities:
1. No double           -0.732
2. Double, pass        +1.000  (+1.732)
3. Double, take        -2.013  (-1.281)
Proper cube action: No redouble, take (42.5%)

Rolled 31 (-0.125):
*    1. Cubeful 4-ply    4/off                        Eq.: -0.856
       0.063 0.000 0.000 - 0.937 0.000 0.000
     2. Cubeful 4-ply    6/5 3/off                    Eq.: -0.859 (-0.002)
       0.062 0.000 0.000 - 0.938 0.000 0.000
     3. Cubeful 4-ply    3/off 2/1                    Eq.: -0.861 (-0.005)
       0.061 0.000 0.000 - 0.939 0.000 0.000
     4. Cubeful 4-ply    5/4 3/off                    Eq.: -0.864 (-0.007)
       0.059 0.000 0.000 - 0.941 0.000 0.000
     5. Cubeful 2-ply    3/2 3/off                    Eq.: -0.870 (-0.014)
       0.057 0.000 0.000 - 0.943 0.000 0.000


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 (-0.044):
*    1. Cubeful 4-ply    5/off 1/off                  Eq.: +0.811
       0.918 0.000 0.000 - 0.082 0.000 0.000
     2. Cubeful 4-ply    6/off                        Eq.: +0.805 (-0.007)
       0.915 0.000 0.000 - 0.085 0.000 0.000
     3. Cubeful 4-ply    5/off 3/2                    Eq.: +0.791 (-0.020)
       0.909 0.000 0.000 - 0.091 0.000 0.000
     4. Cubeful 4-ply    6/1 3/2                      Eq.: +0.772 (-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 (-0.049)
       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

Cube analysis
4-ply cubeless equity -0.836 (Money: -0.836)
  0.082 0.000 0.000 - 0.918 0.000 0.000
Cubeful equities:
1. No double           -0.811
2. Double, pass        +1.000  (+1.811)
3. Double, take        -2.038  (-1.227)
Proper cube action: No redouble, take (40.4%)

Rolled 65 (+0.040):
*    1. Cubeful 4-ply    6/off 5/off                  Eq.: -0.773
       0.100 0.000 0.000 - 0.900 0.000 0.000
     2. Cubeful 4-ply    6/1 6/off                    Eq.: -0.808 (-0.035)
       0.085 0.000 0.000 - 0.915 0.000 0.000


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 (+0.086):
*    1. Cubeful 4-ply    6/off 4/off                  Eq.: +0.859
       0.937 0.000 0.000 - 0.063 0.000 0.000
     2. Cubeful 4-ply    6/2 6/off                    Eq.: +0.794 (-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

Cube analysis
4-ply cubeless equity -0.874 (Money: -0.874)
  0.063 0.000 0.000 - 0.937 0.000 0.000
Cubeful equities:
1. No double           -0.859
2. Double, pass        +1.000  (+1.859)
3. Double, take        -2.053  (-1.194)
Proper cube action: No redouble, take (39.1%)

Rolled 52 (-0.041):
*    1. Cubeful 4-ply    5/off 2/off                  Eq.: -0.903
       0.046 0.000 0.000 - 0.954 0.000 0.000
     2. Cubeful 4-ply    5/off 3/1                    Eq.: -0.921 (-0.018)
       0.037 0.000 0.000 - 0.963 0.000 0.000
     3. Cubeful 4-ply    6/4 5/off                    Eq.: -0.926 (-0.024)
       0.034 0.000 0.000 - 0.966 0.000 0.000
     4. Cubeful 4-ply    6/1 2/off                    Eq.: -0.931 (-0.029)
       0.033 0.000 0.000 - 0.967 0.000 0.000
     5. Cubeful 2-ply    5/off 4/2                    Eq.: -0.927 (-0.025)
       0.032 0.000 0.000 - 0.968 0.000 0.000


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 (-0.078):
*    1. Cubeful 4-ply    6/5 3/off                    Eq.: +0.827
       0.920 0.000 0.000 - 0.080 0.000 0.000
     2. Cubeful 4-ply    3/2 3/off                    Eq.: +0.825 (-0.002)
       0.919 0.000 0.000 - 0.081 0.000 0.000
     3. Cubeful 4-ply    3/off 2/1                    Eq.: +0.821 (-0.006)
       0.917 0.000 0.000 - 0.083 0.000 0.000
     4. Cubeful 4-ply    4/off                        Eq.: +0.808 (-0.019)
       0.911 0.000 0.000 - 0.089 0.000 0.000
     5. Cubeful 2-ply    4/1 3/2                      Eq.: +0.781 (-0.046)
       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

Cube analysis
4-ply cubeless equity -0.840 (Money: -0.840)
  0.080 0.000 0.000 - 0.920 0.000 0.000
Cubeful equities:
1. No double           -0.827
2. Double, pass        +1.000  (+1.827)
3. Double, take        -2.030  (-1.203)
Proper cube action: No redouble, take (39.7%)

Rolled 54 (-0.000):
*    1. Cubeful 4-ply    5/off 4/off                  Eq.: -0.831
       0.079 0.000 0.000 - 0.921 0.000 0.000
     2. Cubeful 4-ply    6/2 5/off                    Eq.: -0.876 (-0.045)
       0.059 0.000 0.000 - 0.941 0.000 0.000
     3. Cubeful 4-ply    6/1 4/off                    Eq.: -0.880 (-0.049)
       0.058 0.000 0.000 - 0.942 0.000 0.000
     4. Cubeful 4-ply    5/1 5/off                    Eq.: -0.903 (-0.072)
       0.047 0.000 0.000 - 0.953 0.000 0.000
     5. Cubeful 2-ply    6/2 6/1                      Eq.: -0.934 (-0.104)
       0.030 0.000 0.000 - 0.970 0.000 0.000


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 (-0.010):
*    1. Cubeful 4-ply    4/off 2/off                  Eq.: +0.820
       0.916 0.000 0.000 - 0.084 0.000 0.000
     2. Cubeful 4-ply    4/off 3/1                    Eq.: +0.789 (-0.031)
       0.902 0.000 0.000 - 0.098 0.000 0.000
     3. Cubeful 4-ply    5/1 2/off                    Eq.: +0.758 (-0.062)
       0.888 0.000 0.000 - 0.112 0.000 0.000
     4. Cubeful 4-ply    4/2 4/off                    Eq.: +0.754 (-0.066)
       0.886 0.000 0.000 - 0.114 0.000 0.000
     5. Cubeful 2-ply    5/3 4/off                    Eq.: +0.714 (-0.106)
       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

Cube analysis
4-ply cubeless equity -0.831 (Money: -0.831)
  0.084 0.000 0.000 - 0.916 0.000 0.000
Cubeful equities:
1. No double           -0.820
2. Double, pass        +1.000  (+1.820)
3. Double, take        -2.004  (-1.185)
Proper cube action: No redouble, take (39.4%)

Rolled 61 (-0.071):
*    1. Cubeful 4-ply    6/off 3/2                    Eq.: -0.893
       0.049 0.000 0.000 - 0.951 0.000 0.000
     2. Cubeful 4-ply    6/5 6/off                    Eq.: -0.904 (-0.011)
       0.047 0.000 0.000 - 0.953 0.000 0.000
     3. Cubeful 4-ply    6/off 4/3                    Eq.: -0.924 (-0.031)
       0.038 0.000 0.000 - 0.962 0.000 0.000
     4. Cubeful 4-ply    6/off 5/4                    Eq.: -0.924 (-0.031)
       0.038 0.000 0.000 - 0.962 0.000 0.000


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 (-0.144):
*    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

Cube analysis
4-ply cubeless equity -0.767 (Money: -0.767)
  0.117 0.000 0.000 - 0.883 0.000 0.000
Cubeful equities:
1. No double           -0.747
2. Double, pass        +1.000  (+1.747)
3. Double, take        -1.960  (-1.213)
Proper cube action: No redouble, take (41.0%)

Rolled 51 (-0.155):
*    1. Cubeful 4-ply    5/off 4/3                    Eq.: -0.906
       0.045 0.000 0.000 - 0.955 0.000 0.000
     2. Cubeful 4-ply    6/off                        Eq.: -0.916 (-0.010)
       0.042 0.000 0.000 - 0.958 0.000 0.000
     3. Cubeful 4-ply    5/off 2/1                    Eq.: -0.916 (-0.011)
       0.042 0.000 0.000 - 0.958 0.000 0.000
     4. Cubeful 4-ply    5/off 3/2                    Eq.: -0.917 (-0.012)
       0.040 0.000 0.000 - 0.960 0.000 0.000
     5. Cubeful 2-ply    6/1 5/4                      Eq.: -0.921 (-0.015)
       0.039 0.000 0.000 - 0.961 0.000 0.000


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 (-0.041):
*    1. Cubeful 4-ply    4/off 3/1                    Eq.: +0.864
       0.936 0.000 0.000 - 0.064 0.000 0.000
     2. Cubeful 4-ply    5/3 4/off                    Eq.: +0.801 (-0.063)
       0.906 0.000 0.000 - 0.094 0.000 0.000
     3. Cubeful 2-ply    5/1 4/2                      Eq.: +0.676 (-0.188)
       0.847 0.000 0.000 - 0.153 0.000 0.000
     4. Cubeful 2-ply    5/1 3/1                      Eq.: +0.676 (-0.188)
       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)

Cube analysis
4-ply cubeless equity -0.872 (Money: -0.872)
  0.064 0.000 0.000 - 0.936 0.000 0.000
Cubeful equities:
1. No double           -0.864
2. Double, pass        +1.000  (+1.864)
3. Double, take        -2.015  (-1.151)
Proper cube action: No redouble, take (38.2%)
Alert: lucky roll! ( +0.397)

Rolled 33 (+0.397):
*    1. Cubeful 0-ply    6/off 3/off(2)               Eq.: -0.471
       0.231 0.000 0.000 - 0.769 0.000 0.000
     2. Cubeful 0-ply    6/off 4/1 3/off              Eq.: -0.900 (-0.429)
       0.050 0.000 0.000 - 0.950 0.000 0.000


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
Alert: very unlucky roll! ( -1.007)

Rolled 42 (-1.007):
*    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
4-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
4-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
Alert: very lucky roll! ( +0.722)

Rolled 52 (+0.722):
*    1. Cubeful 0-ply    4/off 2/off                  Eq.: +1.000
       1.000 0.000 0.000 - 0.000 0.000 0.000
     2. Cubeful 0-ply    4/off                        Eq.: -1.000 (-2.000)
       0.000 0.000 0.000 - 1.000 0.000 0.000


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                            26                      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)                         -0.001 ( -0.006%)       -0.007 ( -0.095%) 
Error rate mEMG (MWC)                         -0.0   ( -0.000%)       -0.3   ( -0.004%) 
Chequerplay rating                       Supernatural            Supernatural           


Luck statistics

Rolls marked very lucky                    2                       1                    
Rolls marked lucky                         1                       1                    
Rolls unmarked                            24                      23                    
Rolls marked unlucky                       0                       0                    
Rolls marked very unlucky                  0                       1                    
Luck total EMG (MWC)                          +0.367 (+15.968%)       -0.607 (-10.130%) 
Luck rate mEMG (MWC)                         +13.6   ( +0.591%)      -23.4   ( -0.390%) 
Luck rating                              None                    None                   


Cube statistics

Total cube decisions                      27                      12                    
Close or actual cube decisions             3                       3                    
Doubles                                    1                       1                    
Takes                                      1                       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)                         -0.001 ( -0.006%)       -0.007 ( -0.095%) 
Error rate mEMG (MWC)                         -0.0   ( -0.000%)       -0.3   ( -0.003%) 
Snowie error rate                             -0.0   ( +0.000%)       -0.1   ( +0.000%) 
Overall rating                           Supernatural            Supernatural           
Actual result                             +26.21%                 -26.21%               
Luck adjusted result                       +0.11%                  -0.11%               
Luck based FIBS rating diff.               +1.46                                        
Error based abs. FIBS rating             2049.5                  2046.3                 
Chequerplay errors rating loss              0.5                     3.7                 
Cube errors rating loss                     0.0                     0.0                 




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

