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Re: [Bug-gnubg] Positions on which 0-ply and 2-ply would disagree


From: boomslang
Subject: Re: [Bug-gnubg] Positions on which 0-ply and 2-ply would disagree
Date: Sat, 18 Jul 2009 00:08:05 +0000 (GMT)

Thanks Zorba and Christian for your replies.

I did what Zorba suggested: playing 0ply vs 0ply in a long money session (GNU 
Backgammon 0.90-mingw 20090518 crashed three times / Win XP Home edition SP 3) 
and analysing the match on 2ply NO move filter.

In total 313 games were played (over 12000 moves) and the biggest errors were:

MOVE ERRORS:
-0.18
-0.172
-0.171
-0.163
-0.157
-0.154
-0.151


CUBE ERRORS:
-0.13105
-0.128
-0.09192
-0.0915
-0.07735
-0.07571
-0.07491
-0.07424

Here are the corresponding positions:






MOVE ERRORS:

Move number 19:  boom to play 31

 GNU Backgammon  Position ID: a3MYAwg7zwwAAw
                 Match ID   : cIkFAGAJiAUA
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: gnubg
 |       O          |   | O  X  O  O  O  O |     150 points
 |       O          |   | O  X  O  O     O |     
 |                  |   | O                |     
 |                  |   |                  |     
 |                  |   |                  |    
v|                  |BAR|                  |     (Cube: 1)
 |                  |   |                  |    
 |                  |   |       X          |     
 |                  |   |       X     X    |     
 | O           X    |   | X     X     X  X |     Rolled 31
 | O           X    |   | X     X  O  X  X |     177 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: boom
Pip counts: O 104, X 92

* boom moves 6/3* 4/3

Cube analysis
2-ply cubeless equity  -0.07314
  0.47771 0.10943 0.00177 - 0.52229 0.13742 0.00235
Cubeful equities:
1. No double            -0.04341
2. Double, pass         +1.00000  ( +1.04341)
3. Double, take         -0.48453  ( -0.44112)
Proper cube action: No double, beaver (29.7%)
Alert: very bad move ( -0.180)

Rolled 31 (-0.082):
     1. Cubeful 2-ply    20/17 4/3*                   Eq.:  +0.09823
       0.49661 0.15791 0.00197 - 0.50339 0.21521 0.00857
*    2. Cubeful 2-ply    6/3* 4/3                     Eq.:  -0.08153 ( -0.17976)
       0.48036 0.09955 0.00027 - 0.51964 0.10195 0.00179
     3. Cubeful 2-ply    8/5 4/3*                     Eq.:  -0.08653 ( -0.18476)
       0.44960 0.15023 0.00129 - 0.55040 0.18816 0.00542
     4. Cubeful 2-ply    4/3* 4/1                     Eq.:  -0.10149 ( -0.19972)
       0.47781 0.09894 0.00052 - 0.52219 0.11324 0.00185
     5. Cubeful 2-ply    4/1 2/1                      Eq.:  -0.17287 ( -0.27110)
       0.45737 0.04512 0.00010 - 0.54263 0.08912 0.00078
 
 
 
 
 
 
 
 
 
 
 
 
Move number 31:  boom to play 31

 GNU Backgammon  Position ID: 7JrBAwib3YwAQA
                 Match ID   : QYkFAIACYAEA
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: gnubg (Cube: 2)
 |             O    |   | O  O  O  O       |     40 points
 |             O    |   | O     O  O       |     
 |                  |   |       O          |     
 |                  |   |                  |     
 |                  |   |                  |    
v|                  |BAR|                  |     
 |                  |   |                  |    
 | O                |   |                  |     
 | O                |   |    X             |     
 | O           X    |   | X  X  X     X  X |     Rolled 31
 | O  X        X    | X | X  X  X  O  X  X |     44 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: boom
Pip counts: O 125, X 93

* boom moves bar/24 6/3*
Alert: very bad move ( -0.172)
Alert: unlucky roll! ( -0.408)

Rolled 31 (-0.408):
     1. Cubeful 2-ply    bar/24 11/8                  Eq.:  +0.38845
       0.64550 0.25706 0.00189 - 0.35450 0.03749 0.00117
     2. Cubeful 2-ply    bar/24 5/2                   Eq.:  +0.25925 ( -0.12919)
       0.59859 0.26720 0.00329 - 0.40141 0.06850 0.00290
*    3. Cubeful 2-ply    bar/24 6/3*                  Eq.:  +0.21691 ( -0.17154)
       0.57477 0.35835 0.00519 - 0.42523 0.14897 0.00957
     4. Cubeful 2-ply    bar/24 8/5                   Eq.:  +0.09270 ( -0.29574)
       0.54372 0.26961 0.00403 - 0.45628 0.10221 0.00484
     5. Cubeful 2-ply    bar/24 4/1                   Eq.:  -0.24503 ( -0.63347)
       0.45775 0.18994 0.00284 - 0.54225 0.16215 0.00784
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

Move number 35:  gnubg to play 61

 GNU Backgammon  Position ID: tm1kAiB2dwcAIA
                 Match ID   : EQEHAMACgAEA
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: gnubg
 | X                |   | O  O  O  O  O  X |     44 points
 |                  |   | O  O  O  O  O    |     Rolled 61
 |                  |   | O  O  O  O       |     
 |                  |   |                  |     
 |                  |   |                  |    
^|                  |BAR|                  |     
 |                  |   |                  |    
 |                  |   |                  |     
 |                  |   |                  |     
 |    X             |   | X  X  X  X  X    |     
 |    X     X       |   | X  X  X  X  X  O |     48 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: boom (Cube: 2)
Pip counts: O 82, X 108

* gnubg moves 24/17
Alert: very bad move ( -0.171)
Alert: very unlucky roll! ( -0.681)

Rolled 61 (-0.681):
     1. Cubeful 2-ply    24/18 2/1*                   Eq.:  -0.15262
       0.44870 0.28338 0.00776 - 0.55130 0.25796 0.01245
*    2. Cubeful 2-ply    24/17                        Eq.:  -0.32407 ( -0.17145)
       0.41514 0.11406 0.00728 - 0.58486 0.04054 0.00077
     3. Cubeful 2-ply    24/18 3/2                    Eq.:  -0.59457 ( -0.44195)
       0.30579 0.10745 0.00932 - 0.69421 0.05687 0.00127
     4. Cubeful 2-ply    24/18 6/5                    Eq.:  -0.61006 ( -0.45744)
       0.29991 0.10349 0.00906 - 0.70009 0.06134 0.00142
     5. Cubeful 2-ply    24/18 4/3                    Eq.:  -0.61310 ( -0.46048)
       0.30055 0.10194 0.00870 - 0.69945 0.05803 0.00143
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Move number 12:  gnubg to play 55

 GNU Backgammon  Position ID: 2M4mAyCyncFBIA
                 Match ID   : MIEWAFAEsAIA
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: gnubg
 | X           O    |   | O  O  O     O  X |     69 points
 | X           O    |   | O  O  O          |     Rolled 55
 |                  |   | O                |     
 |                  |   |                  |     
 |                  |   |                  |    
^|                  |BAR|                  |     (Cube: 1)
 |                  |   |                  |    
 |                  |   |                  |     
 | O                |   | X                |     
 | O        X  X    |   | X  X  X          |     
 | O  X     X  X  O |   | X  X  X        O |     86 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: boom
Pip counts: O 135, X 131

* gnubg moves 18/13 8/3(2) 6/1*

Cube analysis
2-ply cubeless equity  -0.06393
  0.47120 0.16824 0.00652 - 0.52880 0.17321 0.00788
Cubeful equities:
1. No double            -0.08317
2. Double, pass         +1.00000  ( +1.08317)
3. Double, take         -0.48343  ( -0.40026)
Proper cube action: No double, beaver (27.0%)
Alert: very bad move ( -0.163)

Rolled 55 (-0.170):
     1. Cubeful 2-ply    13/3 8/3 6/1*                Eq.:  -0.03332
       0.42557 0.24365 0.00743 - 0.57443 0.27457 0.03158
*    2. Cubeful 2-ply    18/13 8/3(2) 6/1*            Eq.:  -0.19647 ( -0.16314)
       0.43488 0.20198 0.00476 - 0.56512 0.18214 0.01075
     3. Cubeful 2-ply    18/3 8/3                     Eq.:  -0.23209 ( -0.19877)
       0.42846 0.16874 0.00662 - 0.57154 0.16319 0.00810
     4. Cubeful 2-ply    18/8 13/8 6/1*               Eq.:  -0.47014 ( -0.43681)
       0.37074 0.13370 0.00288 - 0.62926 0.19301 0.00970
     5. Cubeful 2-ply    18/3 13/8                    Eq.:  -0.57612 ( -0.54280)
       0.34648 0.11117 0.00342 - 0.65352 0.20236 0.01077
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Move number 33:  boom to play 56

 GNU Backgammon  Position ID: ljcHAwhwZxsCBg
                 Match ID   : cIkaAEACIAEA
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: gnubg
 |    X        O    |   | O  O  X  O  O    |     36 points
 |             O    |   | O  O  X     O    |     
 |             O    |   |    O             |     
 |                  |   |    O             |     
 |                  |   |                  |    
v|                  |BAR|                  |     (Cube: 1)
 |                  |   |                  |    
 |                  |   |                  |     
 |                  |   | X  X             |     
 | O     X  X  X    |   | X  X             |     Rolled 56
 | O     X  X  X    |   | X  X     O       |     36 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: boom
Pip counts: O 111, X 143

* boom moves 14/3*

Cube analysis
2-ply cubeless equity  +0.11523
  0.54470 0.13015 0.00410 - 0.45530 0.10642 0.00200
Cubeful equities:
1. No double            +0.16292
2. Double, pass         +1.00000  ( +0.83708)
3. Double, take         -0.07888  ( -0.24180)
Proper cube action: No double, beaver (22.4%)
Alert: bad move ( -0.157)

Rolled 56 (-0.081):
     1. Cubeful 2-ply    9/3* 8/3                     Eq.:  +0.25416
       0.55766 0.17779 0.00440 - 0.44234 0.12338 0.00717
*    2. Cubeful 2-ply    14/3*                        Eq.:  +0.09709 ( -0.15707)
       0.53016 0.14154 0.00304 - 0.46984 0.12258 0.00432
     3. Cubeful 2-ply    14/8 10/5                    Eq.:  -0.08164 ( -0.33580)
       0.47507 0.09814 0.00212 - 0.52493 0.08416 0.00226
     4. Cubeful 2-ply    14/8 6/1                     Eq.:  -0.12607 ( -0.38023)
       0.45919 0.09938 0.00169 - 0.54081 0.09071 0.00241
     5. Cubeful 2-ply    14/9 10/4                    Eq.:  -0.12711 ( -0.38127)
       0.47192 0.10529 0.00243 - 0.52808 0.13054 0.00440
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Move number 37:  gnubg to play 51

 GNU Backgammon  Position ID: 2A4Y4kLbGJkAKg
                 Match ID   : EYEGAEAXCAwA
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: gnubg
 | X  O     O  X    |   | O  X  X  O  O  O |     372 points
 | X  O             |   | O  X     O  O  O |     Rolled 51
 |                  |   |    X             |     
 |                  |   |                  |     
 |                  |   |                  |    
^|                  |BAR|                  |     
 |                  |   |                  |    
 |                  |   |                  |     
 |                  |   | X                |     
 |                  |   | X  X  X          |     
 | O                | X | X  X  X  O  O  O |     385 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: boom (Cube: 2)
Pip counts: O 137, X 185

* gnubg moves 24/23 13/8*
Alert: bad move ( -0.154)

Rolled 51 (-0.024):
     1. Cubeful 2-ply    11/10 9/4*                   Eq.:  +0.51714
       0.64203 0.47175 0.02914 - 0.35797 0.13621 0.01788
     2. Cubeful 2-ply    24/23 9/4*                   Eq.:  +0.42774 ( -0.08940)
       0.62021 0.42864 0.02798 - 0.37979 0.13009 0.00818
     3. Cubeful 2-ply    23/22 9/4*                   Eq.:  +0.42724 ( -0.08990)
       0.62078 0.42619 0.02511 - 0.37922 0.12562 0.00756
     4. Cubeful 2-ply    9/4*/3                       Eq.:  +0.41276 ( -0.10438)
       0.60998 0.43005 0.02365 - 0.39002 0.11861 0.00681
     5. Cubeful 2-ply    23/18 9/8*                   Eq.:  +0.39666 ( -0.12048)
       0.61555 0.39804 0.02056 - 0.38445 0.11585 0.00662
*   10. Cubeful 2-ply    24/23 13/8*                  Eq.:  +0.36304 ( -0.15410)
       0.60356 0.39959 0.02250 - 0.39644 0.12419 0.00642
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Move number 51:  gnubg to play 11

 GNU Backgammon  Position ID: 780AgMC/HRgAAA
                 Match ID   : AYEEAHAF2AIA
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: gnubg (Cube: 2)
 |          O       |   |    X     O  O  O |     87 points
 |          O       |   |          O  O  O |     Rolled 11
 |                  |   |          O     O |     
 |                  |   |                O |     
 |                  |   |                8 |    
^|                  |BAR|                  |     
 |                  |   |                  |    
 |                  |   |             X  X |     
 |                  |   |             X  X |     
 |                  |   |    X     X  X  X | X   
 |                  |   |    X     X  X  X | X   91 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: boom
Pip counts: O 39, X 48

* gnubg moves 9/7(2)

Cube analysis
2-ply cubeless equity  +0.13036
  0.56710 0.00000 0.00000 - 0.43290 0.00383 0.00001
Cubeful equities:
1. No double            +0.33189
2. Double, pass         +1.00000  ( +0.66811)
3. Double, take         +0.02211  ( -0.30978)
Proper cube action: No redouble, take (31.7%)
Alert: bad move ( -0.151)

Rolled 11 (-0.079):
     1. Cubeful 2-ply    9/5*                         Eq.:  +0.18450
       0.49865 0.00000 0.00000 - 0.50135 0.02407 0.00000
*    2. Cubeful 2-ply    9/7(2)                       Eq.:  +0.03306 ( -0.15144)
       0.44945 0.00000 0.00000 - 0.55055 0.00007 0.00000
     3. Cubeful 2-ply    9/8(2) 3/2(2)                Eq.:  +0.01405 ( -0.17045)
       0.44092 0.00000 0.00000 - 0.55908 0.00034 0.00000
     4. Cubeful 2-ply    9/8(2) 3/1                   Eq.:  +0.00249 ( -0.18201)
       0.43589 0.00000 0.00000 - 0.56411 0.00024 0.00000
     5. Cubeful 2-ply    3/1 3/2(2)                   Eq.:  -0.10246 ( -0.28696)
       0.39022 0.00000 0.00000 - 0.60978 0.00161 0.00000















CUBE ERRORS:

Move number 10:  gnubg doubles to 2

 GNU Backgammon  Position ID: 4HPMA0Ab24KAKA
                 Match ID   : MBkAALAHoAMA
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: gnubg
 | X           O  O |   | O  O        O  O |     123 points
 | X              O |   | O  O        O  O |     
 | X                |   |                  |     
 | X                |   |                  |     
 |                  |   |                  |    
^|                  |BAR|                  |     
 |                  |   | X                |    
 |                  |   | X                |     
 |             X    |   | X                |     
 |    X        X    |   | X                |     Cube offered at 2
 | O  X        X    | X | X  O        O  O |     116 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: boom
Pip counts: O 130, X 153

* boom rejects

Alert: wrong pass ( -0.13105)!

Cube analysis
2-ply cubeless equity  +0.55940
  0.63258 0.36115 0.00371 - 0.36742 0.06771 0.00291
Cubeful equities:
1. Double, take         +0.86895
2. Double, pass         +1.00000  ( +0.13105)
3. No double            +0.69743  ( -0.17152)
Proper cube action: Double, take
gnubg wins 1 point
 
 
 
 
 
 
 
 
 
 
 
Move number 33:  gnubg to play 63

 GNU Backgammon  Position ID: 27aDAASauzsAAA
                 Match ID   : AQEPAOATMAsA
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: gnubg (Cube: 2)
 |             O  O |   | O  O  X  O  O    |     318 points
 |             O  O |   | O  O     O       |     Rolled 63
 |             O  O |   | O  O             |     
 |                  |   |                  |     
 |                  |   |                  |    
^|                  |BAR|                  |     
 |                  |   |                  |    
 |                  |   |                  |     
 |                  |   | X                |     
 |                  |   | X  X  X  X  X  X |     
 |    X             |   | X  X  X  X  X  X |     358 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: boom
Pip counts: O 86, X 80

* gnubg moves 8/2 7/4*
Alert: missed double ( -0.12800)!
 [bad]
Cube analysis
2-ply cubeless equity  +0.46748
  0.72674 0.02903 0.00066 - 0.27326 0.01559 0.00010
Cubeful equities:
1. Double, take         +0.78251
2. Double, pass         +1.00000  ( +0.21749)
3. No double            +0.65452  ( -0.12800)
Proper cube action: Redouble, take
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Move number 24:  gnubg doubles to 4

 GNU Backgammon  Position ID: 2zhnAEBtayEDAg
                 Match ID   : ARkAAAAGAAMA
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: gnubg
 |    O           O |   | O  O  O  O  O  O |     96 points
 |                  |   | O     O  O  O    |     
 |                  |   |                  |     
 |                  |   |                  |     
 |                  |   |                  |    
^|                  |BAR|                  |     
 |                  |   |                  |    
 |                  |   |                  |     
 |             X    |   | X                |     
 | O     X     X    |   | X        X  X  X |     Cube offered at 4
 | O     X     X    | X | X  O     X  X  X |     96 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: boom
Pip counts: O 100, X 99

* boom rejects

Alert: wrong pass ( -0.09192)!

Cube analysis
2-ply cubeless equity  +0.53819
  0.74112 0.15587 0.00293 - 0.25888 0.09951 0.00334
Cubeful equities:
1. Double, take         +0.90808
2. Double, pass         +1.00000  ( +0.09192)
3. No double            +0.70773  ( -0.20035)
Proper cube action: Redouble, take
gnubg wins 2 points
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Move number 13:  gnubg on roll, cube decision?

 GNU Backgammon  Position ID: s20GAxDY7krAAA
                 Match ID   : MAEAAMAIeAQA
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: gnubg
 | X  O     O  O  O |   | O  O  O     X    |     140 points
 | X              O |   | O  O  O          |     On roll
 |                O |   | O                |     
 |                  |   |                  |     
 |                  |   |                  |    
^|                  |BAR|                  |     (Cube: 1)
 |                  |   |                  |    
 |                  |   |                  |     
 |                  |   |                  |     
 |             X  O |   | X  X  X  X     X |     
 |             X  O |   | X  X  X  X     X |     143 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: boom
Pip counts: O 121, X 103

* gnubg doubles

Alert: wrong double ( -0.09150)!
 [bad]
Cube analysis
2-ply cubeless equity  +0.36845
  0.66218 0.12628 0.00286 - 0.33782 0.08380 0.00125
Cubeful equities:
1. No double            +0.60972
2. Double, pass         +1.00000  ( +0.39028)
3. Double, take         +0.51821  ( -0.09150)
Proper cube action: No double, take (19.0%)
Move number 14:  gnubg doubles to 2
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Move number 9:  boom on roll, cube decision?

 GNU Backgammon  Position ID: G87gATCY85gJAg
                 Match ID   : cAkAAKACYAEA
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: gnubg
 | X     X     O    |   | O  X        O  O |     42 points
 | X           O    |   | O           O  O |     
 |                  |   | O                |     
 |                  |   |                  |     
 |                  |   |                  |    
v|                  |BAR|                  |     (Cube: 1)
 |                  |   |                  |    
 | O           X    |   |                  |     
 | O           X    |   | X                |     
 | O  X        X    |   | X     X        O |     On roll
 | O  X        X    |   | X     X        O |     44 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: boom
Pip counts: O 140, X 141

* boom doubles

Alert: wrong double ( -0.07735)!
 [doubtful]
Cube analysis
2-ply cubeless equity  +0.34223
  0.64294 0.15267 0.00636 - 0.35706 0.10134 0.00133
Cubeful equities:
1. No double            +0.51901
2. Double, pass         +1.00000  ( +0.48099)
3. Double, take         +0.44166  ( -0.07735)
Proper cube action: No double, take (13.9%)
Move number 10:  boom doubles to 2
 
 
 
 
 
 
 
 
 
 
 
 
Move number 11:  boom on roll, cube decision?

 GNU Backgammon  Position ID: yGfwASjYTnBAWA
                 Match ID   : cAkAAKAJwAUA
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: gnubg
 | X           O    |   | O  X  O        X |     154 points
 | X           O    |   | O              X |     
 | X                |   | O                |     
 |                  |   | O                |     
 |                  |   | O                |    
v|                  |BAR|                  |     (Cube: 1)
 | O                |   |                  |    
 | O                |   |                  |     
 | O                |   | X                |     
 | O                |   | X  X  X          |     On roll
 | O           X    | X | X  X  X     O  O |     184 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: boom
Pip counts: O 162, X 176

* boom doubles

Alert: wrong double ( -0.07571)!
 [doubtful]
Cube analysis
2-ply cubeless equity  +0.35890
  0.60301 0.24697 0.02020 - 0.39699 0.10753 0.00676
Cubeful equities:
1. No double            +0.52364
2. Double, pass         +1.00000  ( +0.47636)
3. Double, take         +0.44792  ( -0.07571)
Proper cube action: No double, take (13.7%)
Move number 12:  boom doubles to 2
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Move number 8:  boom on roll, cube decision?

 GNU Backgammon  Position ID: xm7BASjgczMHAA
                 Match ID   : cAkAAMAKCAYA
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: gnubg
 | X           O  O |   | O  O        O    |     172 points
 | X              O |   | O  O        O    |     
 | X                |   | O                |     
 |                  |   |                  |     
 |                  |   |                  |    
v|                  |BAR|                  |     (Cube: 1)
 |                  |   | X                |    
 |                  |   | X                |     
 | O           X    |   | X                |     
 | O  X     X  X    |   | X                |     On roll
 | O  X     X  X    |   | X           O  O |     193 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: boom
Pip counts: O 140, X 133

* boom doubles

Alert: wrong double ( -0.07491)!
 [doubtful]
Cube analysis
2-ply cubeless equity  +0.35248
  0.65888 0.10077 0.00300 - 0.34112 0.06844 0.00062
Cubeful equities:
1. No double            +0.54791
2. Double, pass         +1.00000  ( +0.45209)
3. Double, take         +0.47300  ( -0.07491)
Proper cube action: No double, take (14.2%)
Move number 9:  boom doubles to 2
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Move number 35:  gnubg to play 21

 GNU Backgammon  Position ID: bm8DAEHbZlJAIA
                 Match ID   : AQEFAIATIAsA
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     O: gnubg (Cube: 2)
 |    O  O     O    |   | O  X  O  O  O  O |     312 points
 |                  |   | O     O  O  O  O |     Rolled 21
 |                  |   |                  |     
 |                  |   |                  |     
 |                  |   |                  |    
^|                  |BAR|                  |     
 |                  |   |                  |    
 |                  |   |       X          |     
 |                  |   |       X     X    |     
 |                  |   | X  X  X  X  X    |     
 |                O | X | X  X  X  X  X  O |     356 points
 +13-14-15-16-17-18------19-20-21-22-23-24-+     X: boom
Pip counts: O 103, X 95

* gnubg moves 8/5*
Alert: missed double ( -0.07424)!
 [doubtful]
Cube analysis
2-ply cubeless equity  +0.75651
  0.75375 0.32288 0.00967 - 0.24625 0.07824 0.00530
Cubeful equities:
1. Double, pass         +1.00000
2. Double, take         +1.35756  ( +0.35756)
3. No double            +0.92576  ( -0.07424)
Proper cube action: Redouble, pass








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