These are interesting positions. As I would have expected most of the move errors occur in very dynamic situations, which is where one would expect 2ply to do a lot better than 0ply. The double/take decisions are a bit more varied. One notices 0ply's tendency to double to early, but again the largest differences occur in positions where a lot depends on the next two rolls.
Christian. On Sat, Jul 18, 2009 at 2:08 AM, boomslang<[email protected]> wrote: > > 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 > > > > > > > _______________________________________________ > Bug-gnubg mailing list > [email protected] > http://lists.gnu.org/mailman/listinfo/bug-gnubg >
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