63: 24/18 13/10 


1.  Book^{1}  24/18 13/10  eq: +0.225 
 Player: Opponent:  50.81% (G:13.14% B:0.49%) 49.19% (G:14.56% B:1.62%)  Conf.: ± 0.002 (+0.223...+0.228)  [100.0%] 

2.  Book^{1}  24/15  eq: +0.195 (0.030) 
 Player: Opponent:  50.46% (G:12.08% B:0.44%) 49.54% (G:14.09% B:1.41%)  Conf.: ± 0.002 (+0.193...+0.198)  [0.0%] 

3.  Book^{2}  13/4  eq: +0.178 (0.047) 
 Player: Opponent:  48.86% (G:14.12% B:0.50%) 51.14% (G:15.93% B:2.28%)  Conf.: ± 0.004 (+0.174...+0.183)  [0.0%] 

4.  Book^{3}  24/21 13/7  eq: +0.163 (0.063) 
 Player: Opponent:  48.55% (G:13.06% B:0.54%) 51.45% (G:13.68% B:0.59%)  

5.  Book^{3}  13/10 13/7  eq: +0.146 (0.079) 
 Player: Opponent:  47.72% (G:13.55% B:0.55%) 52.28% (G:14.48% B:0.88%)  


^{1} Generated by Steven Carey on 01/08/2012 using eXtreme Gammon 2.10 46656 Games rolled with Variance Reduction. Dice Seed: 98720603 Moves: 3ply, cube decisions: 4ply
^{2} Generated by Steven Carey on 01/08/2012 using eXtreme Gammon 2.10 15552 Games rolled with Variance Reduction. Dice Seed: 162317 Moves: 3ply, cube decisions: XG Roller
^{3} Generated by GameSite 2000, Ltd on 21/05/2011 using eXtreme Gammon 2.00 Analyzed in XG Roller++



62: 24/22 13/7* 


1.  4ply  24/22 13/7*  eq: 0.256 
 Player: Opponent:  49.13% (G:13.33% B:0.56%) 50.87% (G:13.28% B:0.61%)  

2.  4ply  13/11 13/7*  eq: 0.315 (0.059) 
 Player: Opponent:  48.75% (G:13.96% B:0.67%) 51.25% (G:14.57% B:0.92%)  

3.  3ply  13/7* 7/5  eq: 0.364 (0.108) 
 Player: Opponent:  47.53% (G:12.99% B:0.58%) 52.47% (G:14.70% B:0.83%)  

4.  3ply  13/7* 8/6  eq: 0.428 (0.172) 
 Player: Opponent:  45.89% (G:12.71% B:0.58%) 54.11% (G:15.08% B:0.91%)  

5.  2ply  24/22 24/18  eq: 0.426 (0.169) 
 Player: Opponent:  45.12% (G:10.23% B:0.46%) 54.88% (G:15.83% B:0.56%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
50.97% (G:13.36% B:0.55%) 
50.87% (G:13.70% B:0.59%) 
Opponent Winning Chances: 
49.03% (G:13.53% B:0.61%) 
49.13% (G:13.75% B:0.71%) 
Cubeless Equities 
0.030 
+0.205 
Cubeful Equities 
No double:  +0.275  
Double/Take:  +0.205 (0.070)  
Double/Pass:  +1.000 (+0.725) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 8.0% 


33: Bar/22 24/18* 13/10 


1.  Rollout^{1}  Bar/22 13/10 6/3*(2)  eq: +0.711 
 Player: Opponent:  59.78% (G:19.36% B:0.92%) 40.22% (G:11.26% B:1.07%)  Conf.: ± 0.013 (+0.699...+0.724)  [100.0%] Duration: 12 minutes 28 seconds 

2.  Rollout^{1}  Bar/22 24/18* 13/10  eq: +0.566 (0.145) 
 Player: Opponent:  58.61% (G:13.92% B:0.62%) 41.39% (G:11.03% B:1.04%)  Conf.: ± 0.014 (+0.553...+0.580)  [0.0%] Duration: 19 minutes 35 seconds 

3.  3ply  Bar/22 24/18* 6/3*  eq: +0.554 (0.157) 
 Player: Opponent:  56.29% (G:16.64% B:1.04%) 43.71% (G:11.48% B:0.53%)  

4.  3ply  Bar/22 24/21 6/3*(2)  eq: +0.524 (0.187) 
 Player: Opponent:  56.20% (G:16.91% B:0.97%) 43.80% (G:10.91% B:0.47%)  

5.  3ply  Bar/22 10/7 6/3*(2)  eq: +0.522 (0.189) 
 Player: Opponent:  55.39% (G:18.26% B:1.11%) 44.61% (G:10.97% B:0.46%)  


^{1} 1296 Games rolled with Variance Reduction. Moves: 3ply, cube decisions: XG Roller



21: Bar/23 8/7* 


1.  XG Roller++  Bar/23 8/7*  eq: 0.647 
 Player: Opponent:  41.74% (G:10.05% B:0.35%) 58.26% (G:17.78% B:1.00%)  

2.  XG Roller++  Bar/22  eq: 0.683 (0.037) 
 Player: Opponent:  38.41% (G:8.52% B:0.25%) 61.59% (G:14.32% B:0.53%)  

3.  3ply  Bar/23 6/5  eq: 0.784 (0.138) 
 Player: Opponent:  40.39% (G:9.14% B:0.35%) 59.61% (G:20.36% B:1.28%)  

4.  3ply  Bar/23 24/23  eq: 0.788 (0.141) 
 Player: Opponent:  37.09% (G:8.21% B:0.26%) 62.91% (G:16.17% B:0.73%)  

5.  2ply  Bar/23 22/21  eq: 0.822 (0.175) 
 Player: Opponent:  38.10% (G:8.55% B:0.26%) 61.90% (G:18.65% B:1.00%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
58.25% (G:17.66% B:0.98%) 
58.38% (G:17.64% B:0.95%) 
Opponent Winning Chances: 
41.75% (G:10.01% B:0.38%) 
41.62% (G:10.05% B:0.39%) 
Cubeless Equities 
+0.207 
+0.644 
Cubeful Equities 
No double:  +0.636 (0.008)  
Double/Take:  +0.644  
Double/Pass:  +1.000 (+0.356) 

Best Cube action: Double / Take 


32: Bar/22 13/11 


1.  XG Roller++  Bar/22 13/11  eq: +0.515 
 Player: Opponent:  56.02% (G:15.83% B:0.72%) 43.98% (G:10.56% B:0.40%)  

2.  XG Roller++  Bar/23 13/10  eq: +0.473 (0.041) 
 Player: Opponent:  55.33% (G:15.35% B:0.72%) 44.67% (G:11.80% B:0.42%)  

3.  XG Roller++  Bar/20  eq: +0.461 (0.054) 
 Player: Opponent:  55.12% (G:14.93% B:0.72%) 44.88% (G:11.97% B:0.43%)  

4.  4ply  Bar/23 6/3*  eq: +0.432 (0.083) 
 Player: Opponent:  54.52% (G:15.29% B:0.82%) 45.48% (G:12.25% B:0.51%)  

5.  3ply  Bar/22 8/6  eq: +0.394 (0.121) 
 Player: Opponent:  53.70% (G:15.48% B:0.69%) 46.30% (G:11.35% B:0.38%)  



11: 23/22 7/5 6/5 


1.  Rollout^{1}  24/22 6/5(2)  eq: 0.337 
 Player: Opponent:  47.77% (G:12.40% B:2.00%) 52.23% (G:13.89% B:0.51%)  Conf.: ± 0.014 (0.351...0.323)  [98.9%] Duration: 21 minutes 16 seconds 

2.  Rollout^{1}  23/22 7/5 6/5  eq: 0.360 (0.023) 
 Player: Opponent:  46.58% (G:12.59% B:1.43%) 53.42% (G:12.83% B:0.55%)  Conf.: ± 0.014 (0.373...0.346)  [1.1%] Duration: 18 minutes 49 seconds 

3.  XG Roller++  23/22 8/7 6/5(2)  eq: 0.378 (0.041) 
 Player: Opponent:  47.35% (G:11.96% B:0.49%) 52.65% (G:14.90% B:0.65%)  

4.  XG Roller++  23/22 6/5(3)  eq: 0.386 (0.050) 
 Player: Opponent:  47.12% (G:11.95% B:0.48%) 52.88% (G:14.91% B:0.65%)  

5.  XG Roller++  7/5 6/5(2)  eq: 0.406 (0.069) 
 Player: Opponent:  46.88% (G:12.26% B:0.49%) 53.12% (G:15.71% B:0.73%)  


^{1} 1296 Games rolled with Variance Reduction. Moves: 3ply, cube decisions: XG Roller



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
53.49% (G:13.18% B:0.52%) 
53.78% (G:12.81% B:0.48%) 
Opponent Winning Chances: 
46.51% (G:12.04% B:0.47%) 
46.22% (G:11.87% B:0.45%) 
Cubeless Equities 
+0.038 
+0.301 
Cubeful Equities 
No double:  +0.375  
Double/Take:  +0.301 (0.074)  
Double/Pass:  +1.000 (+0.625) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 9.5% 


62: 10/4 6/4 


1.  3ply  10/4 6/4  eq: +0.227 
 Player: Opponent:  49.67% (G:13.53% B:0.56%) 50.33% (G:12.50% B:0.51%)  

2.  3ply  22/14  eq: +0.125 (0.101) 
 Player: Opponent:  47.55% (G:12.55% B:0.60%) 52.45% (G:17.18% B:0.78%)  

3.  2ply  22/16 8/6  eq: +0.040 (0.187) 
 Player: Opponent:  45.16% (G:12.16% B:0.57%) 54.84% (G:19.14% B:0.98%)  

4.  2ply  22/16 13/11  eq: +0.031 (0.196) 
 Player: Opponent:  45.00% (G:11.71% B:0.58%) 55.00% (G:18.68% B:0.95%)  

5.  2ply  13/11 13/7  eq: +0.005 (0.222) 
 Player: Opponent:  44.07% (G:11.22% B:0.44%) 55.93% (G:14.72% B:0.43%)  



43: 22/15* 


1.  3ply  22/15*  eq: 0.134 
 Player: Opponent:  54.02% (G:14.26% B:0.56%) 45.98% (G:14.29% B:0.71%)  

2.  1ply  24/20 13/10  eq: 0.518 (0.384) 
 Player: Opponent:  43.88% (G:10.91% B:0.38%) 56.12% (G:17.12% B:0.69%)  

3.  1ply  13/6  eq: 0.534 (0.400) 
 Player: Opponent:  42.47% (G:10.33% B:0.30%) 57.53% (G:15.49% B:0.61%)  

4.  1ply  13/10 6/2  eq: 0.606 (0.472) 
 Player: Opponent:  42.47% (G:10.85% B:0.35%) 57.53% (G:17.56% B:0.95%)  

5.  1ply  13/10 13/9  eq: 0.607 (0.473) 
 Player: Opponent:  43.55% (G:11.46% B:0.38%) 56.45% (G:19.23% B:1.06%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
46.13% (G:14.25% B:0.74%) 
46.22% (G:14.54% B:0.79%) 
Opponent Winning Chances: 
53.87% (G:14.21% B:0.61%) 
53.78% (G:15.48% B:0.74%) 
Cubeless Equities 
0.126 
+0.040 
Cubeful Equities 
No double:  +0.138  
Double/Take:  +0.040 (0.097)  
Double/Pass:  +1.000 (+0.862) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 9.2% 


21: Bar/23 11/10* 


1.  3ply  Bar/23 11/10*  eq: +0.290 
 Player: Opponent:  50.01% (G:15.66% B:0.85%) 49.99% (G:13.38% B:0.59%)  

2.  2ply  Bar/24 11/9  eq: +0.008 (0.282) 
 Player: Opponent:  43.10% (G:13.01% B:0.60%) 56.90% (G:15.90% B:0.76%)  

3.  2ply  Bar/22  eq: 0.041 (0.331) 
 Player: Opponent:  42.11% (G:11.97% B:0.42%) 57.89% (G:15.01% B:0.53%)  

4.  2ply  Bar/24 6/4  eq: 0.045 (0.334) 
 Player: Opponent:  41.86% (G:12.34% B:0.50%) 58.14% (G:16.36% B:0.75%)  

5.  1ply  Bar/24 8/6  eq: 0.052 (0.342) 
 Player: Opponent:  41.83% (G:11.94% B:0.53%) 58.17% (G:16.53% B:0.79%)  



66: Cannot Move 


1.  3ply  Cannot Move  eq: 0.725 
 Player: Opponent:  43.40% (G:11.75% B:0.54%) 56.60% (G:22.73% B:1.47%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
56.60% (G:22.58% B:1.43%) 
56.67% (G:22.68% B:1.42%) 
Opponent Winning Chances: 
43.40% (G:12.38% B:0.65%) 
43.33% (G:12.29% B:0.69%) 
Cubeless Equities 
+0.193 
+0.723 
Cubeful Equities 
No double:  +0.640 (0.083)  
Double/Take:  +0.723  
Double/Pass:  +1.000 (+0.277) 

Best Cube action: Double / Take 


32: 8/3* 


1.  Rollout^{1}  6/3* 3/1*  eq: +0.638 
 Player: Opponent:  54.56% (G:23.89% B:1.01%) 45.44% (G:14.40% B:1.76%)  Conf.: ± 0.015 (+0.623...+0.653)  [100.0%] Duration: 13 minutes 25 seconds 

2.  Rollout^{1}  8/3*  eq: +0.491 (0.147) 
 Player: Opponent:  52.51% (G:20.42% B:1.04%) 47.49% (G:14.87% B:2.41%)  Conf.: ± 0.016 (+0.475...+0.507)  [0.0%] Duration: 14 minutes 15 seconds 

3.  4ply  23/21 6/3*  eq: +0.515 (0.123) 
 Player: Opponent:  52.98% (G:19.75% B:1.39%) 47.02% (G:13.16% B:0.57%)  

4.  3ply  13/11 6/3*  eq: +0.487 (0.152) 
 Player: Opponent:  51.90% (G:20.45% B:1.57%) 48.10% (G:15.24% B:0.93%)  

5.  2ply  10/8 6/3*  eq: +0.439 (0.200) 
 Player: Opponent:  51.50% (G:18.97% B:1.20%) 48.50% (G:13.37% B:0.55%)  


^{1} 1296 Games rolled with Variance Reduction. Moves: 3ply, cube decisions: XG Roller



63: Bar/22* 


1.  3ply  Bar/22*  eq: 0.193 
 Player: Opponent:  52.30% (G:16.01% B:0.77%) 47.70% (G:14.64% B:0.82%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
47.63% (G:14.70% B:0.82%) 
47.51% (G:14.64% B:0.82%) 
Opponent Winning Chances: 
52.37% (G:17.16% B:0.91%) 
52.49% (G:17.39% B:0.93%) 
Cubeless Equities 
0.130 
+0.100 
Cubeful Equities 
No double:  +0.202  
Double/Take:  +0.100 (0.103)  
Double/Pass:  +1.000 (+0.798) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 10.2% 


21: Bar/23 10/9 


1.  Rollout^{1}  Bar/24 10/8  eq: +0.165 
 Player: Opponent:  47.75% (G:13.52% B:0.54%) 52.25% (G:17.27% B:2.38%)  Conf.: ± 0.015 (+0.150...+0.180)  [100.0%] Duration: 19 minutes 45 seconds 

2.  Rollout^{1}  Bar/23 10/9  eq: +0.055 (0.111) 
 Player: Opponent:  44.81% (G:13.00% B:0.58%) 55.19% (G:20.38% B:3.85%)  Conf.: ± 0.016 (+0.039...+0.070)  [0.0%] Duration: 20 minutes 07 seconds 

3.  XG Roller++  Bar/24 23/21  eq: +0.134 (0.032) 
 Player: Opponent:  46.18% (G:13.73% B:0.69%) 53.82% (G:17.26% B:0.93%)  

4.  XG Roller++  Bar/22  eq: +0.111 (0.055) 
 Player: Opponent:  45.76% (G:13.31% B:0.64%) 54.24% (G:16.99% B:0.80%)  

5.  4ply  Bar/24 6/4  eq: +0.075 (0.091) 
 Player: Opponent:  44.82% (G:13.37% B:0.69%) 55.18% (G:17.29% B:0.86%)  


^{1} 1098 Games rolled with Variance Reduction. Moves: 3ply, cube decisions: XG Roller



65: Bar/20 22/16* 


1.  3ply  Bar/20 22/16*  eq: +0.188 
 Player: Opponent:  60.84% (G:21.90% B:1.24%) 39.16% (G:9.60% B:0.48%)  

2.  1ply  Bar/14  eq: 0.147 (0.336) 
 Player: Opponent:  53.96% (G:16.89% B:0.80%) 46.04% (G:15.49% B:1.01%)  

3.  1ply  Bar/20 24/18  eq: 0.234 (0.423) 
 Player: Opponent:  52.31% (G:16.64% B:0.78%) 47.69% (G:17.88% B:0.94%)  

4.  1ply  Bar/20 13/7  eq: 0.380 (0.568) 
 Player: Opponent:  49.41% (G:15.85% B:0.79%) 50.59% (G:19.01% B:1.48%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
39.48% (G:9.58% B:0.50%) 
39.64% (G:9.74% B:0.53%) 
Opponent Winning Chances: 
60.52% (G:21.71% B:1.08%) 
60.36% (G:22.40% B:1.22%) 
Cubeless Equities 
0.405 
0.373 
Cubeful Equities 
No double:  0.184  
Double/Take:  0.373 (0.189)  
Double/Pass:  +1.000 (+1.184) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 12.1% 


54: Bar/16 


1.  XG Roller++  Bar/21 23/18  eq: 0.196 
 Player: Opponent:  39.19% (G:9.00% B:0.44%) 60.81% (G:21.64% B:1.11%)  

2.  XG Roller++  Bar/16  eq: 0.207 (0.011) 
 Player: Opponent:  38.79% (G:8.98% B:0.35%) 61.21% (G:20.93% B:1.11%)  

3.  3ply  Bar/21 6/1*  eq: 0.322 (0.126) 
 Player: Opponent:  35.71% (G:8.53% B:0.37%) 64.29% (G:22.67% B:1.10%)  

4.  3ply  Bar/21 8/3  eq: 0.379 (0.183) 
 Player: Opponent:  35.42% (G:7.35% B:0.38%) 64.58% (G:27.22% B:1.71%)  

5.  2ply  Bar/21 13/8  eq: 0.397 (0.201) 
 Player: Opponent:  33.72% (G:7.95% B:0.46%) 66.28% (G:25.45% B:1.48%)  



31: 24/20 


1.  3ply  24/20  eq: +0.256 
 Player: Opponent:  61.84% (G:18.04% B:0.75%) 38.16% (G:7.38% B:0.24%)  

2.  3ply  13/9*  eq: +0.088 (0.168) 
 Player: Opponent:  59.08% (G:22.13% B:1.35%) 40.92% (G:11.33% B:0.74%)  

3.  2ply  16/13 6/5  eq: +0.032 (0.225) 
 Player: Opponent:  56.98% (G:19.02% B:0.93%) 43.02% (G:11.68% B:0.54%)  

4.  2ply  24/23 16/13  eq: +0.020 (0.237) 
 Player: Opponent:  56.52% (G:18.61% B:0.87%) 43.48% (G:11.59% B:0.50%)  

5.  1ply  13/10 6/5  eq: 0.144 (0.400) 
 Player: Opponent:  53.77% (G:18.55% B:1.04%) 46.23% (G:15.14% B:1.11%)  



42: 22/16 


1.  4ply  22/16  eq: 0.263 
 Player: Opponent:  38.08% (G:7.24% B:0.21%) 61.92% (G:18.32% B:0.77%)  

2.  4ply  23/21 13/9*  eq: 0.306 (0.043) 
 Player: Opponent:  36.71% (G:7.72% B:0.28%) 63.29% (G:21.95% B:1.26%)  

3.  3ply  13/11 13/9*  eq: 0.352 (0.088) 
 Player: Opponent:  35.47% (G:7.51% B:0.29%) 64.53% (G:22.69% B:1.19%)  

4.  3ply  13/9* 6/4  eq: 0.386 (0.123) 
 Player: Opponent:  34.47% (G:7.28% B:0.27%) 65.53% (G:23.06% B:1.19%)  

5.  3ply  13/9* 9/7  eq: 0.386 (0.123) 
 Player: Opponent:  34.72% (G:7.12% B:0.26%) 65.28% (G:23.83% B:1.28%)  



31: 16/13 6/5 


1.  4ply  16/13 6/5  eq: +0.205 
 Player: Opponent:  60.04% (G:17.47% B:0.55%) 39.96% (G:7.29% B:0.23%)  

2.  4ply  13/10 6/5  eq: +0.149 (0.056) 
 Player: Opponent:  58.95% (G:18.11% B:0.73%) 41.05% (G:8.74% B:0.31%)  

3.  3ply  6/5 6/3*  eq: +0.115 (0.090) 
 Player: Opponent:  58.37% (G:17.26% B:0.81%) 41.63% (G:9.26% B:0.33%)  

4.  3ply  16/15 6/3*  eq: +0.103 (0.102) 
 Player: Opponent:  58.07% (G:17.05% B:0.81%) 41.93% (G:9.32% B:0.35%)  

5.  3ply  16/15 13/10  eq: +0.085 (0.120) 
 Player: Opponent:  57.36% (G:16.66% B:0.78%) 42.64% (G:9.16% B:0.33%)  



53: 16/13 16/11 


1.  Rollout^{1}  23/15  eq: 0.247 
 Player: Opponent:  39.54% (G:7.53% B:0.28%) 60.46% (G:22.12% B:2.84%)  Conf.: ± 0.015 (0.261...0.232)  [100.0%] Duration: 20 minutes 13 seconds 

2.  Rollout^{1}  16/13 16/11  eq: 0.355 (0.109) 
 Player: Opponent:  35.68% (G:7.47% B:0.28%) 64.32% (G:22.23% B:3.88%)  Conf.: ± 0.014 (0.369...0.341)  [0.0%] Duration: 19 minutes 56 seconds 

3.  XG Roller++  8/3 6/3  eq: 0.242 (+0.004) 
 Player: Opponent:  38.19% (G:8.37% B:0.27%) 61.81% (G:19.97% B:0.88%)  

4.  4ply  23/18 6/3  eq: 0.284 (0.038) 
 Player: Opponent:  38.05% (G:7.66% B:0.21%) 61.95% (G:25.41% B:1.32%)  

5.  3ply  13/10 13/8  eq: 0.340 (0.093) 
 Player: Opponent:  35.59% (G:7.24% B:0.26%) 64.41% (G:19.25% B:0.88%)  


^{1} 1296 Games rolled with Variance Reduction. Moves: 3ply, cube decisions: XG Roller



51: 13/8 6/5 


1.  XG Roller++  13/8 6/5  eq: +0.288 
 Player: Opponent:  62.31% (G:17.91% B:0.74%) 37.69% (G:7.11% B:0.24%)  

2.  XG Roller++  20/14*  eq: +0.261 (0.026) 
 Player: Opponent:  62.44% (G:21.90% B:1.35%) 37.56% (G:9.13% B:0.37%)  

3.  4ply  13/8 5/4  eq: +0.229 (0.058) 
 Player: Opponent:  61.31% (G:16.00% B:0.61%) 38.69% (G:7.68% B:0.25%)  

4.  3ply  13/7  eq: +0.157 (0.131) 
 Player: Opponent:  59.11% (G:15.93% B:0.64%) 40.89% (G:7.99% B:0.25%)  

5.  2ply  8/7 8/3*  eq: 0.041 (0.328) 
 Player: Opponent:  54.22% (G:15.71% B:0.58%) 45.78% (G:10.85% B:0.35%)  



52: 13/11 13/8 


1.  Rollout^{1}  23/18 13/11  eq: 0.304 
 Player: Opponent:  38.29% (G:7.39% B:0.26%) 61.71% (G:23.78% B:3.20%)  Conf.: ± 0.014 (0.318...0.290)  [100.0%] Duration: 18 minutes 53 seconds 

2.  Rollout^{1}  13/11 13/8  eq: 0.402 (0.098) 
 Player: Opponent:  34.46% (G:7.04% B:0.26%) 65.54% (G:22.57% B:3.91%)  Conf.: ± 0.013 (0.415...0.389)  [0.0%] Duration: 18 minutes 00 second 

3.  4ply  23/21 11/6  eq: 0.338 (0.034) 
 Player: Opponent:  35.96% (G:6.72% B:0.21%) 64.04% (G:19.08% B:0.86%)  

4.  4ply  13/11 8/3  eq: 0.357 (0.053) 
 Player: Opponent:  34.85% (G:8.02% B:0.30%) 65.15% (G:22.64% B:1.36%)  

5.  4ply  13/11 6/1  eq: 0.369 (0.065) 
 Player: Opponent:  34.74% (G:7.18% B:0.21%) 65.26% (G:20.05% B:0.97%)  


^{1} 1296 Games rolled with Variance Reduction. Moves: 3ply, cube decisions: XG Roller



55: 20/15(2) 8/3*(2) 


1.  Rollout^{1}  20/10(2)  eq: +0.634 
 Player: Opponent:  72.29% (G:19.62% B:3.01%) 27.71% (G:4.64% B:0.18%)  Conf.: ± 0.013 (+0.621...+0.648)  [100.0%] Duration: 15 minutes 08 seconds 

2.  Rollout^{1}  20/15(2) 8/3*(2)  eq: +0.452 (0.183) 
 Player: Opponent:  67.28% (G:25.54% B:6.26%) 32.72% (G:7.59% B:0.29%)  Conf.: ± 0.014 (+0.438...+0.466)  [0.0%] Duration: 16 minutes 24 seconds 

3.  4ply  13/3*(2)  eq: +0.511 (0.123) 
 Player: Opponent:  67.96% (G:24.60% B:1.33%) 32.04% (G:5.57% B:0.20%)  

4.  3ply  20/15(2) 13/8(2)  eq: +0.481 (0.153) 
 Player: Opponent:  68.96% (G:13.95% B:0.50%) 31.04% (G:5.78% B:0.18%)  

5.  2ply  20/15 13/3* 8/3  eq: +0.440 (0.194) 
 Player: Opponent:  67.16% (G:23.40% B:1.43%) 32.84% (G:7.24% B:0.30%)  


^{1} 1296 Games rolled with Variance Reduction. Moves: 3ply, cube decisions: XG Roller



32: Bar/23 8/5 


1.  XG Roller++  Bar/23 8/5  eq: 0.571 
 Player: Opponent:  29.36% (G:5.46% B:0.20%) 70.64% (G:22.81% B:1.33%)  

2.  XG Roller++  Bar/23 6/3  eq: 0.605 (0.034) 
 Player: Opponent:  28.58% (G:4.98% B:0.19%) 71.42% (G:23.29% B:1.35%)  

3.  3ply  Bar/23 11/8  eq: 0.701 (0.130) 
 Player: Opponent:  26.95% (G:4.40% B:0.20%) 73.05% (G:25.85% B:1.56%)  

4.  2ply  Bar/23 4/1  eq: 0.843 (0.272) 
 Player: Opponent:  22.23% (G:3.27% B:0.12%) 77.77% (G:27.52% B:1.77%)  



64: 13/3 


1.  Rollout^{1}  15/11 15/9  eq: +0.202 
 Player: Opponent:  61.60% (G:23.06% B:6.00%) 38.40% (G:10.92% B:0.46%)  Conf.: ± 0.013 (+0.189...+0.214)  [100.0%] Duration: 13 minutes 31 seconds 

2.  Rollout^{1}  13/3  eq: +0.073 (0.129) 
 Player: Opponent:  58.71% (G:23.19% B:4.40%) 41.29% (G:12.06% B:0.50%)  Conf.: ± 0.014 (+0.059...+0.087)  [0.0%] Duration: 12 minutes 40 seconds 

3.  2ply  15/9 13/9  eq: +0.052 (0.150) 
 Player: Opponent:  57.64% (G:18.11% B:1.23%) 42.36% (G:11.95% B:0.45%)  

4.  2ply  13/7 8/4  eq: +0.029 (0.173) 
 Player: Opponent:  58.14% (G:17.85% B:1.02%) 41.86% (G:13.91% B:0.57%)  

5.  2ply  13/9 13/7  eq: +0.001 (0.201) 
 Player: Opponent:  57.74% (G:19.01% B:1.24%) 42.26% (G:14.96% B:0.84%)  


^{1} 1296 Games rolled with Variance Reduction. Moves: 3ply, cube decisions: XG Roller



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
39.86% (G:10.54% B:0.39%) 
40.37% (G:11.01% B:0.41%) 
Opponent Winning Chances: 
60.14% (G:17.30% B:0.95%) 
59.63% (G:20.31% B:1.16%) 
Cubeless Equities 
0.331 
0.319 
Cubeful Equities 
No double:  0.148  
Double/Take:  0.319 (0.171)  
Double/Pass:  +1.000 (+1.148) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 11.5% 


63: 23/17* 8/5 


1.  3ply  23/17* 8/5  eq: +0.224 
 Player: Opponent:  48.16% (G:17.27% B:0.52%) 51.84% (G:19.06% B:1.27%)  

2.  1ply  23/17* 17/14  eq: 0.122 (0.346) 
 Player: Opponent:  41.19% (G:12.40% B:0.38%) 58.81% (G:25.48% B:2.10%)  

3.  1ply  23/17* 11/8  eq: 0.168 (0.392) 
 Player: Opponent:  40.38% (G:11.74% B:0.38%) 59.62% (G:26.79% B:2.44%)  

4.  1ply  23/17* 5/2  eq: 0.193 (0.417) 
 Player: Opponent:  39.17% (G:11.21% B:0.34%) 60.83% (G:25.09% B:1.99%)  

5.  1ply  23/17* 6/3  eq: 0.206 (0.430) 
 Player: Opponent:  40.65% (G:11.78% B:0.38%) 59.35% (G:31.30% B:3.32%)  



53: Bar/17* 


1.  3ply  Bar/17*  eq: +0.153 
 Player: Opponent:  59.91% (G:26.46% B:2.02%) 40.09% (G:11.38% B:0.46%)  

2.  2ply  Bar/22 13/8*  eq: 0.004 (0.157) 
 Player: Opponent:  56.10% (G:25.79% B:2.20%) 43.90% (G:15.43% B:0.65%)  

3.  1ply  Bar/22 15/10  eq: 1.000 (1.153) 
 Player: Opponent:  37.32% (G:13.56% B:1.04%) 62.68% (G:31.46% B:2.38%)  

4.  1ply  Bar/22 6/1  eq: 1.000 (1.153) 
 Player: Opponent:  32.63% (G:10.03% B:0.58%) 67.37% (G:35.86% B:1.86%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
39.85% (G:11.00% B:0.43%) 
39.87% (G:10.99% B:0.42%) 
Opponent Winning Chances: 
60.15% (G:26.49% B:2.06%) 
60.13% (G:27.32% B:2.08%) 
Cubeless Equities 
0.449 
0.340 
Cubeful Equities 
No double:  0.202  
Double/Take:  0.340 (0.138)  
Double/Pass:  +1.000 (+1.202) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 9.3% 


65: Cannot Move 


1.  3ply  Cannot Move  eq: 0.643 
 Player: Opponent:  31.91% (G:5.46% B:0.34%) 68.09% (G:40.24% B:3.49%)  



21: 13/12* 12/10 


1.  XG Roller++  13/12* 12/10  eq: +0.568 
 Player: Opponent:  66.81% (G:40.20% B:3.49%) 33.19% (G:6.99% B:0.41%)  

2.  XG Roller++  17/15 13/12*  eq: +0.556 (0.012) 
 Player: Opponent:  66.48% (G:38.93% B:3.28%) 33.52% (G:6.67% B:0.34%)  

3.  XG Roller++  13/11 13/12*  eq: +0.526 (0.042) 
 Player: Opponent:  65.83% (G:39.16% B:3.34%) 34.17% (G:7.42% B:0.49%)  

4.  4ply  15/12*  eq: +0.490 (0.078) 
 Player: Opponent:  64.97% (G:38.08% B:3.30%) 35.03% (G:7.41% B:0.50%)  

5.  3ply  13/12* 5/3  eq: +0.363 (0.205) 
 Player: Opponent:  63.66% (G:36.33% B:2.83%) 36.34% (G:7.93% B:0.44%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
33.63% (G:6.78% B:0.44%) 
33.69% (G:6.60% B:0.40%) 
Opponent Winning Chances: 
66.37% (G:39.39% B:3.50%) 
66.31% (G:39.25% B:3.50%) 
Cubeless Equities 
0.785 
0.711 
Cubeful Equities 
No double:  0.557  
Double/Take:  0.711 (0.153)  
Double/Pass:  +1.000 (+1.557) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 8.2% 


62: Bar/23 


1.  3ply  Bar/23  eq: 0.625 
 Player: Opponent:  32.04% (G:5.70% B:0.41%) 67.96% (G:39.59% B:3.14%)  



53: 13/10 13/8* 


1.  XG Roller++  13/10 13/8*  eq: +0.656 
 Player: Opponent:  68.61% (G:41.34% B:3.36%) 31.39% (G:5.53% B:0.29%)  

2.  XG Roller++  13/8* 10/7  eq: +0.630 (0.026) 
 Player: Opponent:  68.08% (G:41.30% B:3.27%) 31.92% (G:6.24% B:0.33%)  

3.  4ply  15/12 13/8*  eq: +0.560 (0.096) 
 Player: Opponent:  66.62% (G:39.83% B:3.28%) 33.38% (G:7.60% B:0.82%)  

4.  3ply  13/8* 8/5  eq: +0.437 (0.219) 
 Player: Opponent:  65.04% (G:38.10% B:2.89%) 34.96% (G:6.57% B:0.34%)  

5.  2ply  17/12 15/12  eq: +0.388 (0.268) 
 Player: Opponent:  63.27% (G:32.67% B:2.45%) 36.73% (G:8.16% B:0.40%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
32.04% (G:5.58% B:0.31%) 
32.16% (G:5.40% B:0.29%) 
Opponent Winning Chances: 
67.96% (G:40.53% B:3.25%) 
67.84% (G:40.34% B:3.31%) 
Cubeless Equities 
0.844 
0.813 
Cubeful Equities 
No double:  0.632  
Double/Take:  0.813 (0.181)  
Double/Pass:  +1.000 (+1.632) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 9.1% 


55: Cannot Move 


1.  3ply  Cannot Move  eq: 0.855 
 Player: Opponent:  27.94% (G:3.56% B:0.27%) 72.06% (G:47.52% B:3.82%)  



65: 17/6 


1.  XG Roller++  17/6  eq: +0.855 
 Player: Opponent:  71.96% (G:48.28% B:3.95%) 28.04% (G:3.61% B:0.16%)  

2.  XG Roller++  15/10 15/9  eq: +0.835 (0.020) 
 Player: Opponent:  71.69% (G:47.80% B:4.05%) 28.31% (G:3.88% B:0.19%)  

3.  XG Roller++  17/12 15/9  eq: +0.821 (0.033) 
 Player: Opponent:  71.36% (G:47.83% B:4.05%) 28.64% (G:4.38% B:0.29%)  

4.  4ply  17/11 15/10  eq: +0.764 (0.091) 
 Player: Opponent:  70.24% (G:45.05% B:3.66%) 29.76% (G:4.12% B:0.23%)  

5.  3ply  17/11 10/5  eq: +0.563 (0.292) 
 Player: Opponent:  67.36% (G:43.86% B:3.50%) 32.64% (G:4.97% B:0.26%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
28.73% (G:3.84% B:0.22%) 
28.86% (G:3.66% B:0.20%) 
Opponent Winning Chances: 
71.27% (G:47.42% B:3.88%) 
71.14% (G:47.17% B:3.98%) 
Cubeless Equities 
1.019 
1.001 
Cubeful Equities 
No double:  0.825  
Double/Take:  1.001 (0.176)  
Double/Pass:  +1.000 (+1.825) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 8.1% 


51: Bar/24 


1.  3ply  Bar/24  eq: 0.804 
 Player: Opponent:  29.68% (G:4.06% B:0.25%) 70.32% (G:48.51% B:4.30%)  



44: 15/11(2) 5/1*(2) 


1.  XG Roller++  15/7 5/1*(2)  eq: +1.148 
 Player: Opponent:  76.81% (G:60.82% B:4.33%) 23.19% (G:2.32% B:0.12%)  

2.  XG Roller++  15/11(2) 5/1*(2)  eq: +1.133 (0.015) 
 Player: Opponent:  76.42% (G:59.87% B:4.23%) 23.58% (G:1.97% B:0.10%)  

3.  4ply  15/11 10/6 5/1*(2)  eq: +1.075 (0.073) 
 Player: Opponent:  75.27% (G:58.31% B:3.97%) 24.73% (G:2.47% B:0.16%)  

4.  4ply  10/6(2) 5/1*(2)  eq: +0.932 (0.216) 
 Player: Opponent:  72.06% (G:54.32% B:3.54%) 27.94% (G:2.91% B:0.17%)  

5.  2ply  15/11 8/4 5/1*(2)  eq: +0.931 (0.217) 
 Player: Opponent:  72.57% (G:55.13% B:3.69%) 27.43% (G:4.55% B:0.27%)  



32: Bar/23 


1.  3ply  Bar/23  eq: 1.097 
 Player: Opponent:  23.63% (G:1.71% B:0.09%) 76.37% (G:56.44% B:3.43%)  



31: 11/8 6/5 


1.  Rollout^{1}  11/10 8/5  eq: +0.973 
 Player: Opponent:  72.30% (G:53.59% B:25.89%) 27.70% (G:2.20% B:0.09%)  Conf.: ± 0.012 (+0.961...+0.985)  [100.0%] Duration: 15 minutes 12 seconds 

2.  Rollout^{1}  11/8 6/5  eq: +0.904 (0.069) 
 Player: Opponent:  71.29% (G:51.88% B:24.52%) 28.71% (G:2.98% B:0.10%)  Conf.: ± 0.013 (+0.892...+0.917)  [0.0%] Duration: 13 minutes 55 seconds 

3.  4ply  11/10 11/8  eq: +0.947 (0.027) 
 Player: Opponent:  73.44% (G:51.19% B:2.83%) 26.56% (G:2.32% B:0.11%)  

4.  4ply  10/6  eq: +0.799 (0.174) 
 Player: Opponent:  69.90% (G:48.25% B:2.68%) 30.10% (G:3.33% B:0.14%)  

5.  3ply  10/9 8/5  eq: +0.820 (0.153) 
 Player: Opponent:  73.13% (G:51.44% B:2.90%) 26.87% (G:2.69% B:0.08%)  


^{1} 1296 Games rolled with Variance Reduction. Moves: 3ply, cube decisions: XG Roller



53: Cannot Move 


1.  3ply  Cannot Move  eq: 1.118 
 Player: Opponent:  23.43% (G:1.64% B:0.09%) 76.57% (G:57.78% B:3.46%)  



43: 11/8 10/6 


1.  4ply  11/8 10/6  eq: +1.003 
 Player: Opponent:  74.26% (G:53.45% B:2.84%) 25.74% (G:1.73% B:0.08%)  

2.  4ply  11/4  eq: +0.925 (0.078) 
 Player: Opponent:  72.92% (G:51.88% B:3.17%) 27.08% (G:3.34% B:0.14%)  

3.  3ply  11/7 10/7  eq: +0.805 (0.197) 
 Player: Opponent:  72.40% (G:51.36% B:2.89%) 27.60% (G:2.20% B:0.05%)  

4.  3ply  10/3  eq: +0.796 (0.206) 
 Player: Opponent:  72.23% (G:51.55% B:2.79%) 27.77% (G:2.38% B:0.05%)  

5.  3ply  10/7 10/6  eq: +0.765 (0.237) 
 Player: Opponent:  71.51% (G:50.47% B:2.75%) 28.49% (G:2.71% B:0.06%)  



63: Cannot Move 


1.  3ply  Cannot Move  eq: 1.186 
 Player: Opponent:  22.31% (G:1.16% B:0.06%) 77.69% (G:60.54% B:3.49%)  



41: 8/4 5/4 


1.  3ply  8/4 5/4  eq: +1.251 
 Player: Opponent:  82.74% (G:66.61% B:4.53%) 17.26% (G:0.41% B:0.00%)  

2.  2ply  10/5  eq: +1.063 (0.188) 
 Player: Opponent:  75.50% (G:55.41% B:3.05%) 24.50% (G:1.34% B:0.07%)  

3.  2ply  8/3  eq: +1.025 (0.226) 
 Player: Opponent:  74.23% (G:55.95% B:2.89%) 25.77% (G:1.98% B:0.11%)  

4.  1ply  6/1  eq: +0.817 (0.434) 
 Player: Opponent:  72.37% (G:52.04% B:2.67%) 27.63% (G:1.75% B:0.01%)  

5.  1ply  10/9 5/1  eq: +0.813 (0.437) 
 Player: Opponent:  72.30% (G:51.09% B:2.63%) 27.70% (G:1.65% B:0.01%)  



62: Bar/23 11/5 


1.  3ply  Bar/23 11/5  eq: 1.260 
 Player: Opponent:  19.18% (G:0.58% B:0.02%) 80.82% (G:58.40% B:2.74%)  



64: 10/4 8/4 


1.  3ply  10/4 8/4  eq: +0.907 
 Player: Opponent:  74.54% (G:52.53% B:2.88%) 25.46% (G:2.37% B:0.04%)  

2.  2ply  10/4 5/1  eq: +0.722 (0.185) 
 Player: Opponent:  67.77% (G:45.85% B:1.78%) 32.23% (G:3.17% B:0.08%)  



63: 23/17* 17/14 


1.  3ply  23/17* 17/14  eq: 0.241 
 Player: Opponent:  42.47% (G:5.71% B:0.11%) 57.53% (G:30.67% B:1.58%)  

2.  3ply  23/17* 11/8  eq: 0.362 (0.121) 
 Player: Opponent:  40.13% (G:5.23% B:0.11%) 59.87% (G:35.58% B:2.08%)  

3.  2ply  23/17* 6/3  eq: 0.408 (0.167) 
 Player: Opponent:  37.69% (G:5.46% B:0.08%) 62.31% (G:44.09% B:3.98%)  

4.  2ply  23/17* 5/2  eq: 0.472 (0.232) 
 Player: Opponent:  35.78% (G:5.33% B:0.07%) 64.22% (G:44.10% B:3.64%)  

5.  1ply  23/17* 4/1  eq: 1.092 (0.851) 
 Player: Opponent:  23.11% (G:1.56% B:0.02%) 76.89% (G:54.11% B:6.16%)  



31: Bar/22 6/5 


1.  XG Roller++  Bar/22 6/5  eq: +0.388 
 Player: Opponent:  60.28% (G:37.87% B:2.69%) 39.72% (G:5.02% B:0.16%)  

2.  XG Roller++  Bar/22 4/3  eq: +0.342 (0.046) 
 Player: Opponent:  59.51% (G:37.39% B:2.61%) 40.49% (G:5.76% B:0.18%)  

3.  2ply  Bar/24 4/1  eq: +0.079 (0.309) 
 Player: Opponent:  53.25% (G:27.87% B:1.11%) 46.75% (G:7.23% B:0.10%)  

4.  1ply  Bar/24 6/3  eq: +0.062 (0.326) 
 Player: Opponent:  54.86% (G:29.32% B:1.24%) 45.14% (G:9.61% B:0.07%)  

5.  1ply  Bar/22 5/4  eq: 0.206 (0.595) 
 Player: Opponent:  47.67% (G:25.02% B:1.44%) 52.33% (G:11.15% B:0.45%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
39.27% (G:4.76% B:0.10%) 
39.74% (G:4.81% B:0.10%) 
Opponent Winning Chances: 
60.73% (G:35.68% B:2.34%) 
60.26% (G:37.98% B:2.72%) 
Cubeless Equities 
0.645 
0.516 
Cubeful Equities 
No double:  0.406  
Double/Take:  0.516 (0.110)  
Double/Pass:  +1.000 (+1.406) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 6.8% 


53: 23/18 14/11 


1.  Rollout^{1}  23/18 6/3*  eq: 0.234 
 Player: Opponent:  43.52% (G:6.84% B:0.31%) 56.48% (G:40.60% B:21.60%)  Conf.: ± 0.014 (0.249...0.220)  [100.0%] Duration: 10 minutes 13 seconds 

2.  Rollout^{1}  23/18 14/11  eq: 0.303 (0.069) 
 Player: Opponent:  39.52% (G:5.42% B:0.18%) 60.48% (G:32.39% B:8.68%)  Conf.: ± 0.012 (0.315...0.291)  [0.0%] Duration: 10 minutes 34 seconds 

3.  3ply  23/15  eq: 0.450 (0.216) 
 Player: Opponent:  37.86% (G:4.26% B:0.10%) 62.14% (G:34.89% B:2.04%)  

4.  2ply  14/9 6/3*  eq: 0.479 (0.245) 
 Player: Opponent:  35.97% (G:4.86% B:0.07%) 64.03% (G:43.27% B:3.82%)  

5.  2ply  11/3*  eq: 0.482 (0.248) 
 Player: Opponent:  35.56% (G:5.04% B:0.07%) 64.44% (G:43.19% B:2.98%)  


^{1} 1296 Games rolled with Variance Reduction. Moves: 3ply, cube decisions: XG Roller



41: 22/17 


1.  3ply  22/17  eq: +0.402 
 Player: Opponent:  62.83% (G:30.15% B:1.26%) 37.17% (G:4.03% B:0.08%)  

2.  3ply  22/18 4/3  eq: +0.303 (0.099) 
 Player: Opponent:  60.18% (G:28.87% B:1.25%) 39.82% (G:4.69% B:0.11%)  

3.  2ply  22/18 5/4  eq: +0.273 (0.129) 
 Player: Opponent:  58.94% (G:27.33% B:0.99%) 41.06% (G:4.84% B:0.13%)  

4.  1ply  5/1 4/3  eq: 0.048 (0.450) 
 Player: Opponent:  50.66% (G:25.34% B:0.88%) 49.34% (G:7.82% B:0.14%)  

5.  1ply  22/18 6/5  eq: 0.054 (0.456) 
 Player: Opponent:  51.89% (G:23.13% B:0.94%) 48.11% (G:8.85% B:0.57%)  



52: 23/16 


1.  Rollout^{1}  23/18 6/4  eq: 0.527 
 Player: Opponent:  32.11% (G:3.76% B:0.15%) 67.89% (G:31.66% B:5.27%)  Conf.: ± 0.011 (0.537...0.516)  [100.0%] Duration: 10 minutes 09 seconds 

2.  Rollout^{1}  23/16  eq: 0.628 (0.101) 
 Player: Opponent:  31.19% (G:3.42% B:0.12%) 68.81% (G:36.70% B:9.32%)  Conf.: ± 0.011 (0.638...0.617)  [0.0%] Duration: 9 minutes 13 seconds 

3.  4ply  23/18 5/3  eq: 0.680 (0.153) 
 Player: Opponent:  29.14% (G:2.70% B:0.05%) 70.86% (G:35.08% B:1.54%)  

4.  2ply  6/4 6/1  eq: 0.829 (0.302) 
 Player: Opponent:  25.61% (G:2.06% B:0.05%) 74.39% (G:39.88% B:1.78%)  

5.  2ply  23/18 4/2  eq: 0.829 (0.303) 
 Player: Opponent:  25.15% (G:2.05% B:0.04%) 74.85% (G:37.09% B:1.26%)  


^{1} 1296 Games rolled with Variance Reduction. Moves: 3ply, cube decisions: XG Roller



51: 17/11 


1.  3ply  17/11  eq: +0.371 
 Player: Opponent:  62.66% (G:24.74% B:0.73%) 37.34% (G:3.68% B:0.08%)  

2.  2ply  17/12 4/3  eq: +0.238 (0.133) 
 Player: Opponent:  58.68% (G:22.25% B:0.62%) 41.32% (G:4.54% B:0.10%)  

3.  2ply  6/5 6/1  eq: +0.176 (0.195) 
 Player: Opponent:  56.30% (G:22.79% B:0.59%) 43.70% (G:4.24% B:0.14%)  

4.  2ply  17/12 5/4  eq: +0.150 (0.221) 
 Player: Opponent:  56.48% (G:20.93% B:0.61%) 43.52% (G:5.52% B:0.11%)  

5.  1ply  17/12 6/5  eq: 0.195 (0.566) 
 Player: Opponent:  48.13% (G:17.85% B:0.76%) 51.87% (G:9.41% B:0.56%)  



53: 16/8 


1.  Rollout^{1}  18/13 16/13  eq: 1.179 
 Player: Opponent:  11.89% (G:0.11% B:0.00%) 88.11% (G:34.77% B:5.49%)  Conf.: ± 0.006 (1.185...1.173)  [100.0%] Duration: 8 minutes 25 seconds 

2.  Rollout^{1}  16/8  eq: 1.242 (0.063) 
 Player: Opponent:  13.74% (G:0.17% B:0.01%) 86.26% (G:42.93% B:10.57%)  Conf.: ± 0.007 (1.249...1.235)  [0.0%] Duration: 7 minutes 32 seconds 

3.  XG Roller++  16/11 6/3  eq: 1.222 (0.043) 
 Player: Opponent:  14.27% (G:0.15% B:0.00%) 85.73% (G:45.61% B:1.96%)  

4.  XG Roller++  18/13 5/2  eq: 1.259 (0.080) 
 Player: Opponent:  13.87% (G:0.07% B:0.00%) 86.13% (G:47.90% B:2.24%)  

5.  XG Roller++  11/3  eq: 1.286 (0.107) 
 Player: Opponent:  13.86% (G:0.02% B:0.00%) 86.14% (G:51.26% B:2.52%)  


^{1} 1296 Games rolled with Variance Reduction. Moves: 3ply, cube decisions: XG Roller



62: 11/3 


1.  4ply  11/3  eq: +1.212 
 Player: Opponent:  89.02% (G:33.17% B:1.01%) 10.98% (G:0.01% B:0.00%)  

2.  4ply  11/5 3/1  eq: +1.162 (0.050) 
 Player: Opponent:  86.79% (G:32.68% B:0.94%) 13.21% (G:0.01% B:0.00%)  

3.  1ply  11/5 6/4  eq: +0.836 (0.376) 
 Player: Opponent:  75.73% (G:29.68% B:0.86%) 24.27% (G:1.42% B:0.01%)  



54: 11/7 8/3 


1.  XG Roller++  18/9  eq: 1.173 
 Player: Opponent:  10.26% (G:0.00% B:0.00%) 89.74% (G:30.59% B:1.03%)  

2.  XG Roller++  11/7 8/3  eq: 1.175 (0.002) 
 Player: Opponent:  11.30% (G:0.00% B:0.00%) 88.70% (G:32.67% B:1.20%)  

3.  XG Roller++  11/7 11/6  eq: 1.176 (0.003) 
 Player: Opponent:  9.68% (G:0.00% B:0.00%) 90.32% (G:29.65% B:1.02%)  

4.  XG Roller++  18/14 8/3  eq: 1.178 (0.005) 
 Player: Opponent:  10.80% (G:0.00% B:0.00%) 89.20% (G:32.01% B:1.11%)  

5.  XG Roller++  18/13 8/4  eq: 1.182 (0.009) 
 Player: Opponent:  10.60% (G:0.00% B:0.00%) 89.40% (G:32.00% B:1.12%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
88.99% (G:32.35% B:1.27%) 
86.04% (G:45.89% B:1.98%) 
Opponent Winning Chances: 
11.01% (G:0.00% B:0.00%) 
13.96% (G:0.00% B:0.00%) 
Cubeless Equities 
+1.211 
+1.738 
Cubeful Equities 
No double:  +1.174  
Double/Take:  +1.403 (+0.228)  
Double/Pass:  +1.000 (0.174) 

Best Cube action: Too good to double / Pass 
Percentage of wrong take needed to make the double decision right: 43.3% 


52: 6/4 6/1 


1.  XG Roller++  6/4 6/1  eq: +1.169 
 Player: Opponent:  90.35% (G:28.30% B:0.99%) 9.65% (G:0.00% B:0.00%)  

2.  XG Roller++  5/Off 3/1  eq: +1.135 (0.034) 
 Player: Opponent:  87.31% (G:30.54% B:0.99%) 12.69% (G:0.00% B:0.00%)  

3.  1ply  6/4 5/Off  eq: +0.824 (0.346) 
 Player: Opponent:  74.46% (G:27.61% B:1.23%) 25.54% (G:0.00% B:0.00%)  

4.  1ply  6/1 3/1  eq: +0.733 (0.436) 
 Player: Opponent:  73.26% (G:24.34% B:0.64%) 26.74% (G:1.81% B:0.01%)  

5.  1ply  6/1 5/3  eq: +0.713 (0.456) 
 Player: Opponent:  73.07% (G:23.95% B:0.76%) 26.93% (G:2.41% B:0.01%)  



32: 18/15 5/3 


1.  XG Roller++  18/15 5/3  eq: 1.195 
 Player: Opponent:  11.57% (G:0.00% B:0.00%) 88.43% (G:34.53% B:1.03%)  

2.  XG Roller++  18/16 11/8  eq: 1.199 (0.004) 
 Player: Opponent:  10.55% (G:0.00% B:0.00%) 89.45% (G:32.94% B:0.98%)  

3.  XG Roller++  18/13  eq: 1.200 (0.005) 
 Player: Opponent:  10.61% (G:0.00% B:0.00%) 89.39% (G:33.13% B:0.93%)  

4.  XG Roller++  18/15 11/9  eq: 1.201 (0.006) 
 Player: Opponent:  10.26% (G:0.00% B:0.00%) 89.74% (G:32.51% B:0.91%)  

5.  XG Roller++  11/6  eq: 1.207 (0.012) 
 Player: Opponent:  9.52% (G:0.00% B:0.00%) 90.48% (G:31.28% B:0.86%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
88.44% (G:34.47% B:2.29%) 
85.81% (G:49.27% B:2.47%) 
Opponent Winning Chances: 
11.56% (G:0.00% B:0.00%) 
14.19% (G:0.00% B:0.00%) 
Cubeless Equities 
+1.228 
+1.728 
Cubeful Equities 
No double:  +1.187  
Double/Take:  +1.387 (+0.200)  
Double/Pass:  +1.000 (0.187) 

Best Cube action: Too good to double / Pass 
Percentage of wrong take needed to make the double decision right: 48.3% 


22: 5/3(2) 5/1 


1.  3ply  5/3(2) 5/1  eq: +1.198 
 Player: Opponent:  91.22% (G:26.58% B:0.57%) 8.78% (G:0.01% B:0.00%)  

2.  2ply  5/1 3/1(2)  eq: +0.996 (0.201) 
 Player: Opponent:  79.93% (G:20.39% B:0.29%) 20.07% (G:0.27% B:0.01%)  

3.  1ply  3/1(4)  eq: +0.740 (0.458) 
 Player: Opponent:  73.22% (G:19.56% B:0.18%) 26.78% (G:0.63% B:0.00%)  

4.  1ply  5/1(2)  eq: +0.655 (0.542) 
 Player: Opponent:  70.97% (G:20.40% B:0.35%) 29.03% (G:1.56% B:0.00%)  



61: 15/9 7/6 


1.  XG Roller++  15/8  eq: 1.161 
 Player: Opponent:  9.12% (G:0.00% B:0.00%) 90.88% (G:26.06% B:0.61%)  

2.  XG Roller++  15/9 7/6  eq: 1.166 (0.005) 
 Player: Opponent:  8.64% (G:0.00% B:0.00%) 91.36% (G:25.17% B:0.56%)  

3.  XG Roller++  15/9 11/10  eq: 1.167 (0.006) 
 Player: Opponent:  8.96% (G:0.00% B:0.00%) 91.04% (G:26.10% B:0.57%)  

4.  XG Roller++  15/14 11/5  eq: 1.175 (0.014) 
 Player: Opponent:  9.27% (G:0.00% B:0.00%) 90.73% (G:27.19% B:0.60%)  

5.  XG Roller++  11/5 7/6  eq: 1.176 (0.016) 
 Player: Opponent:  8.84% (G:0.00% B:0.00%) 91.16% (G:26.43% B:0.60%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
91.41% (G:24.74% B:0.77%) 
87.63% (G:47.29% B:1.98%) 
Opponent Winning Chances: 
8.59% (G:0.00% B:0.00%) 
12.37% (G:0.01% B:0.00%) 
Cubeless Equities 
+1.158 
+1.805 
Cubeful Equities 
No double:  +1.150  
Double/Take:  +1.508 (+0.358)  
Double/Pass:  +1.000 (0.150) 

Best Cube action: Too good to double / Pass 
Percentage of wrong take needed to make the double decision right: 29.5% 


63: 4/Off 3/Off 


1.  3ply  4/Off 3/Off  eq: +1.263 
 Player: Opponent:  93.96% (G:27.43% B:0.53%) 6.04% (G:0.00% B:0.00%)  

2.  3ply  4/1 4/Off  eq: +1.146 (0.117) 
 Player: Opponent:  91.44% (G:20.20% B:0.30%) 8.56% (G:0.00% B:0.00%)  



42: 11/5 


1.  XG Roller++  11/7 9/7  eq: 1.264 
 Player: Opponent:  7.65% (G:0.00% B:0.00%) 92.35% (G:32.02% B:0.66%)  

2.  XG Roller++  11/5  eq: 1.269 (0.005) 
 Player: Opponent:  7.41% (G:0.00% B:0.00%) 92.59% (G:31.97% B:0.64%)  

3.  XG Roller++  11/7 6/4  eq: 1.293 (0.029) 
 Player: Opponent:  8.22% (G:0.00% B:0.00%) 91.78% (G:35.32% B:0.85%)  

4.  XG Roller++  11/7 4/2  eq: 1.298 (0.034) 
 Player: Opponent:  8.06% (G:0.00% B:0.00%) 91.94% (G:35.82% B:1.05%)  

5.  XG Roller++  11/7 3/1  eq: 1.299 (0.036) 
 Player: Opponent:  7.17% (G:0.00% B:0.00%) 92.83% (G:34.15% B:0.84%)  



41: 4/Off 1/Off 


1.  3ply  4/Off 1/Off  eq: +1.327 
 Player: Opponent:  94.44% (G:31.89% B:0.42%) 5.56% (G:0.00% B:0.00%)  

2.  3ply  4/3 4/Off  eq: +1.236 (0.091) 
 Player: Opponent:  94.10% (G:24.55% B:0.20%) 5.90% (G:0.00% B:0.00%)  



61: 23/16 


1.  XG Roller++  23/16  eq: 1.339 
 Player: Opponent:  5.20% (G:0.00% B:0.00%) 94.80% (G:33.84% B:0.83%)  

2.  XG Roller++  23/17 9/8  eq: 1.344 (0.006) 
 Player: Opponent:  5.26% (G:0.00% B:0.00%) 94.74% (G:34.38% B:0.80%)  

3.  XG Roller++  23/17 3/2  eq: 1.352 (0.014) 
 Player: Opponent:  5.11% (G:0.00% B:0.00%) 94.89% (G:35.04% B:0.88%)  

4.  XG Roller++  9/2  eq: 1.369 (0.030) 
 Player: Opponent:  7.62% (G:0.00% B:0.00%) 92.38% (G:40.11% B:2.03%)  

5.  XG Roller++  23/17 5/4  eq: 1.371 (0.033) 
 Player: Opponent:  5.44% (G:0.00% B:0.00%) 94.56% (G:36.57% B:0.90%)  



41: 4/Off 1/Off 


1.  3ply  4/Off 1/Off  eq: +1.345 
 Player: Opponent:  96.52% (G:30.79% B:0.40%) 3.48% (G:0.00% B:0.00%)  

2.  1ply  4/3 4/Off  eq: +0.920 (0.426) 
 Player: Opponent:  78.88% (G:18.20% B:0.27%) 21.12% (G:0.00% B:0.00%)  

3.  1ply  4/Off 3/2*  eq: +0.848 (0.498) 
 Player: Opponent:  75.66% (G:24.62% B:0.30%) 24.34% (G:0.00% B:0.00%)  



43: 16/12 9/6 


1.  XG Roller++  16/12 9/6  eq: 1.365 
 Player: Opponent:  3.41% (G:0.00% B:0.00%) 96.59% (G:32.58% B:0.95%)  

2.  XG Roller++  16/9  eq: 1.398 (0.033) 
 Player: Opponent:  3.52% (G:0.00% B:0.00%) 96.48% (G:35.31% B:1.08%)  

3.  XG Roller++  16/13 9/5  eq: 1.400 (0.035) 
 Player: Opponent:  3.75% (G:0.00% B:0.00%) 96.25% (G:35.87% B:1.47%)  

4.  XG Roller++  23/19 9/6  eq: 1.518 (0.154) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:38.88% B:0.01%)  

5.  3ply  16/12 5/2  eq: 1.434 (0.069) 
 Player: Opponent:  4.68% (G:0.00% B:0.00%) 95.32% (G:40.58% B:0.97%)  



11: 3/2*(2) 1/Off(2) 


1.  XG Roller++  3/2*(2) 1/Off(2)  eq: +1.509 
 Player: Opponent:  96.48% (G:42.98% B:3.61%) 3.52% (G:0.00% B:0.00%)  

2.  XG Roller++  4/3(2) 1/Off(2)  eq: +1.301 (0.207) 
 Player: Opponent:  96.22% (G:28.76% B:2.33%) 3.78% (G:0.00% B:0.00%)  

3.  4ply  3/2*(3) 2/1  eq: +1.430 (0.078) 
 Player: Opponent:  99.63% (G:32.95% B:0.15%) 0.37% (G:0.00% B:0.00%)  

4.  2ply  4/2*(2)  eq: +1.327 (0.181) 
 Player: Opponent:  99.63% (G:25.20% B:0.13%) 0.37% (G:0.00% B:0.00%)  

5.  2ply  4/3 4/2* 2/1  eq: +1.268 (0.241) 
 Player: Opponent:  99.56% (G:20.83% B:0.08%) 0.44% (G:0.00% B:0.00%)  



51: Bar/24 12/7 


1.  XG Roller++  Bar/24 12/7  eq: 1.445 
 Player: Opponent:  6.27% (G:0.00% B:0.00%) 93.73% (G:42.33% B:6.00%)  

2.  XG Roller++  Bar/20 12/11  eq: 1.713 (0.268) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:53.51% B:0.21%)  

3.  4ply  Bar/24 6/1  eq: 1.524 (0.079) 
 Player: Opponent:  6.99% (G:0.00% B:0.00%) 93.01% (G:51.29% B:3.80%)  

4.  2ply  Bar/19  eq: 1.716 (0.270) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:53.67% B:0.00%)  

5.  2ply  Bar/20 3/2  eq: 1.730 (0.284) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:54.73% B:0.00%)  



44: 4/Off(2) 3/Off(2) 


1.  3ply  4/Off(2) 3/Off(2)  eq: +1.617 
 Player: Opponent:  91.84% (G:56.96% B:14.59%) 8.16% (G:0.00% B:0.00%)  



61: 7/1 6/5 


1.  XG Roller++  7/1 6/5  eq: 2.072 
 Player: Opponent:  0.97% (G:0.00% B:0.00%) 99.03% (G:80.75% B:29.60%)  

2.  XG Roller++  7/1 5/4  eq: 2.072 (0.000) 
 Player: Opponent:  0.86% (G:0.00% B:0.00%) 99.14% (G:80.74% B:29.52%)  

3.  XG Roller++  7/1 3/2  eq: 2.094 (0.022) 
 Player: Opponent:  0.91% (G:0.00% B:0.00%) 99.09% (G:82.59% B:30.92%)  

4.  XG Roller++  7/1 4/3  eq: 2.098 (0.027) 
 Player: Opponent:  0.65% (G:0.00% B:0.00%) 99.35% (G:82.74% B:30.27%)  

5.  XG Roller++  24/18 7/6  eq: 2.236 (0.165) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:92.71% B:0.00%)  



65: 3/Off 2/Off 


1.  3ply  3/Off 2/Off  eq: +1.925 
 Player: Opponent:  98.68% (G:70.31% B:45.24%) 1.32% (G:0.00% B:0.00%)  



43: 24/17 


1.  XG Roller++  24/17  eq: 2.333 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:100.00% B:0.00%)  

2.  XG Roller++  24/20 5/2  eq: 2.333 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:100.00% B:100.00%)  

3.  XG Roller++  6/2 5/2  eq: 2.333 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:100.00% B:100.00%)  

4.  XG Roller++  24/20 4/1  eq: 2.333 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:100.00% B:100.00%)  

5.  XG Roller++  6/2 4/1  eq: 2.333 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:100.00% B:100.00%)  



Resigns the match 



