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Re: [Bug-gnubg] Positions on which 0-ply and 2-ply would disagree: msg#00050

bug-gnubg-gnu

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


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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