42: 8/4 6/4 


1.  Book^{1}  8/4 6/4  eq: +0.315 
 Player: Opponent:  53.47% (G:16.42% B:0.69%) 46.53% (G:11.82% B:0.58%)  

2.  Book^{1}  13/11 13/9  eq: +0.152 (0.164) 
 Player: Opponent:  49.43% (G:15.06% B:0.61%) 50.57% (G:13.38% B:0.75%)  

3.  2ply  13/9 6/4  eq: +0.149 (0.166) 
 Player: Opponent:  48.72% (G:13.39% B:0.63%) 51.28% (G:14.43% B:0.93%)  

4.  Book^{1}  24/20 13/11  eq: +0.147 (0.169) 
 Player: Opponent:  50.02% (G:13.60% B:0.66%) 49.98% (G:13.06% B:0.55%)  

5.  2ply  24/22 24/20  eq: +0.140 (0.175) 
 Player: Opponent:  49.37% (G:11.98% B:0.53%) 50.63% (G:13.41% B:0.44%)  


^{1} Generated by GameSite 2000, Ltd on 21/05/2011 using eXtreme Gammon 2.00 Analyzed in XG Roller++



61: 13/7 8/7 


1.  3ply  13/7 8/7  eq: 0.387 
 Player: Opponent:  46.63% (G:12.19% B:0.54%) 53.37% (G:15.79% B:0.83%)  

2.  2ply  24/23 24/18  eq: 0.651 (0.264) 
 Player: Opponent:  43.21% (G:10.09% B:0.52%) 56.79% (G:20.34% B:0.72%)  

3.  1ply  13/6  eq: 0.689 (0.302) 
 Player: Opponent:  40.97% (G:10.61% B:0.45%) 59.03% (G:18.19% B:0.96%)  

4.  1ply  24/23 13/7  eq: 0.696 (0.308) 
 Player: Opponent:  41.69% (G:10.57% B:0.50%) 58.31% (G:19.15% B:1.14%)  

5.  1ply  24/18 6/5  eq: 0.750 (0.363) 
 Player: Opponent:  42.22% (G:9.31% B:0.45%) 57.78% (G:21.48% B:1.08%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
53.30% (G:16.61% B:0.81%) 
53.50% (G:16.55% B:0.75%) 
Opponent Winning Chances: 
46.70% (G:12.84% B:0.64%) 
46.50% (G:12.77% B:0.61%) 
Cubeless Equities 
+0.005 
+0.363 
Cubeful Equities 
No double:  +0.420  
Double/Take:  +0.363 (0.057)  
Double/Pass:  +1.000 (+0.580) 

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


32: 24/21 6/4 


1.  Rollout^{1}  24/21 13/11  eq: +0.379 
 Player: Opponent:  52.51% (G:16.47% B:0.68%) 47.49% (G:15.71% B:2.10%)  Conf.: ± 0.016 (+0.363...+0.394)  [100.0%] Duration: 14 minutes 05 seconds 

2.  Rollout^{1}  24/21 6/4  eq: +0.244 (0.135) 
 Player: Opponent:  49.99% (G:14.79% B:0.57%) 50.01% (G:14.90% B:1.75%)  Conf.: ± 0.015 (+0.229...+0.258)  [0.0%] Duration: 14 minutes 09 seconds 

3.  4ply  24/22 13/10  eq: +0.297 (0.081) 
 Player: Opponent:  51.36% (G:14.84% B:0.73%) 48.64% (G:13.03% B:0.54%)  

4.  4ply  13/11 13/10  eq: +0.292 (0.086) 
 Player: Opponent:  50.43% (G:16.02% B:0.81%) 49.57% (G:14.00% B:0.81%)  

5.  3ply  24/22 24/21  eq: +0.249 (0.129) 
 Player: Opponent:  51.64% (G:13.77% B:0.70%) 48.36% (G:13.49% B:0.45%)  


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



42: 8/4* 6/4 


1.  3ply  8/4* 6/4  eq: 0.075 
 Player: Opponent:  53.00% (G:17.50% B:0.72%) 47.00% (G:12.99% B:0.72%)  

2.  2ply  24/20 6/4*  eq: 0.261 (0.185) 
 Player: Opponent:  48.88% (G:12.19% B:0.52%) 51.12% (G:14.93% B:0.82%)  

3.  2ply  24/22 24/20  eq: 0.307 (0.231) 
 Player: Opponent:  47.72% (G:10.25% B:0.45%) 52.28% (G:15.21% B:0.54%)  

4.  2ply  24/20 13/11  eq: 0.322 (0.247) 
 Player: Opponent:  47.00% (G:10.23% B:0.40%) 53.00% (G:14.77% B:0.72%)  

5.  2ply  24/18  eq: 0.373 (0.298) 
 Player: Opponent:  46.50% (G:9.48% B:0.40%) 53.50% (G:16.33% B:0.65%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
46.88% (G:13.17% B:0.75%) 
46.80% (G:13.16% B:0.70%) 
Opponent Winning Chances: 
53.12% (G:17.38% B:0.74%) 
53.20% (G:17.30% B:0.81%) 
Cubeless Equities 
0.237 
0.073 
Cubeful Equities 
No double:  +0.070  
Double/Take:  0.073 (0.143)  
Double/Pass:  +1.000 (+0.930) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 11.8% 


53: Bar/17* 


1.  3ply  Bar/17*  eq: +0.402 
 Player: Opponent:  54.43% (G:15.35% B:0.99%) 45.57% (G:13.20% B:0.52%)  

2.  1ply  Bar/22 13/8  eq: +0.057 (0.346) 
 Player: Opponent:  46.56% (G:13.11% B:0.77%) 53.44% (G:17.90% B:0.65%)  

3.  1ply  Bar/20 13/10  eq: +0.010 (0.392) 
 Player: Opponent:  45.26% (G:13.18% B:0.82%) 54.74% (G:19.59% B:0.99%)  

4.  1ply  Bar/20 6/3  eq: 0.202 (0.604) 
 Player: Opponent:  40.49% (G:11.24% B:0.64%) 59.51% (G:23.43% B:1.23%)  

5.  1ply  Bar/20 8/5  eq: 0.244 (0.647) 
 Player: Opponent:  39.84% (G:11.35% B:0.68%) 60.16% (G:25.72% B:1.71%)  



61: Bar/18 


1.  3ply  Bar/18  eq: 0.458 
 Player: Opponent:  44.78% (G:11.95% B:0.40%) 55.22% (G:15.91% B:0.99%)  

2.  3ply  Bar/24 13/7  eq: 0.646 (0.188) 
 Player: Opponent:  41.59% (G:12.03% B:0.43%) 58.41% (G:17.58% B:1.34%)  

3.  1ply  Bar/24 7/1*  eq: 1.000 (0.542) 
 Player: Opponent:  37.26% (G:10.18% B:0.33%) 62.74% (G:21.79% B:2.18%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
55.53% (G:16.37% B:0.98%) 
55.43% (G:16.56% B:1.04%) 
Opponent Winning Chances: 
44.47% (G:12.20% B:0.48%) 
44.57% (G:12.22% B:0.56%) 
Cubeless Equities 
+0.061 
+0.465 
Cubeful Equities 
No double:  +0.500  
Double/Take:  +0.465 (0.035)  
Double/Pass:  +1.000 (+0.500) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 6.2% 


53: 17/14 13/8 


1.  Rollout^{1}  17/9  eq: +0.266 
 Player: Opponent:  51.42% (G:13.77% B:0.66%) 48.58% (G:14.62% B:1.52%)  Conf.: ± 0.014 (+0.252...+0.280)  [97.8%] Duration: 13 minutes 53 seconds 

2.  Rollout^{1}  17/14 13/8  eq: +0.245 (0.021) 
 Player: Opponent:  50.90% (G:13.81% B:0.65%) 49.10% (G:14.34% B:1.49%)  Conf.: ± 0.015 (+0.230...+0.259)  [2.2%] Duration: 13 minutes 44 seconds 

3.  3ply  13/10 13/8  eq: +0.123 (0.143) 
 Player: Opponent:  47.87% (G:14.21% B:0.85%) 52.13% (G:16.66% B:0.89%)  

4.  3ply  8/3 6/3  eq: +0.105 (0.160) 
 Player: Opponent:  46.62% (G:15.30% B:1.02%) 53.38% (G:17.95% B:0.97%)  

5.  2ply  13/5  eq: +0.097 (0.169) 
 Player: Opponent:  46.97% (G:14.11% B:0.70%) 53.03% (G:17.39% B:0.91%)  


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



42: 18/14 13/11* 


1.  Rollout^{1}  24/20 13/11*  eq: 0.157 
 Player: Opponent:  51.42% (G:15.40% B:1.59%) 48.58% (G:14.50% B:0.87%)  Conf.: ± 0.014 (0.171...0.143)  [100.0%] Duration: 14 minutes 50 seconds 

2.  Rollout^{1}  18/14 13/11*  eq: 0.269 (0.112) 
 Player: Opponent:  50.25% (G:17.57% B:1.98%) 49.75% (G:15.85% B:1.06%)  Conf.: ± 0.016 (0.284...0.253)  [0.0%] Duration: 13 minutes 55 seconds 

3.  3ply  13/11* 11/7  eq: 0.252 (0.095) 
 Player: Opponent:  49.88% (G:15.08% B:0.63%) 50.12% (G:14.97% B:0.87%)  

4.  3ply  24/18  eq: 0.261 (0.104) 
 Player: Opponent:  48.08% (G:11.96% B:0.33%) 51.92% (G:13.34% B:0.43%)  

5.  3ply  13/9 13/11*  eq: 0.295 (0.139) 
 Player: Opponent:  50.21% (G:16.57% B:0.73%) 49.79% (G:17.10% B:1.48%)  


^{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: 
49.50% (G:15.91% B:1.14%) 
49.48% (G:15.97% B:1.14%) 
Opponent Winning Chances: 
50.50% (G:16.21% B:0.79%) 
50.52% (G:16.13% B:0.84%) 
Cubeless Equities 
0.133 
+0.168 
Cubeful Equities 
No double:  +0.265  
Double/Take:  +0.168 (0.097)  
Double/Pass:  +1.000 (+0.735) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 10.5% 


63: Bar/22 13/7 


1.  4ply  Bar/22 13/7  eq: +0.100 
 Player: Opponent:  45.90% (G:14.91% B:1.09%) 54.10% (G:18.62% B:0.96%)  

2.  4ply  Bar/16  eq: +0.034 (0.066) 
 Player: Opponent:  45.38% (G:13.42% B:0.92%) 54.62% (G:19.76% B:0.78%)  

3.  3ply  Bar/22 8/2  eq: 0.048 (0.148) 
 Player: Opponent:  43.36% (G:13.77% B:0.94%) 56.64% (G:20.16% B:1.16%)  



64: 24/18* 18/14 


1.  3ply  24/18* 18/14  eq: +0.234 
 Player: Opponent:  60.88% (G:17.21% B:0.87%) 39.12% (G:10.24% B:0.39%)  

2.  2ply  24/18* 14/10  eq: +0.010 (0.224) 
 Player: Opponent:  56.01% (G:17.21% B:1.07%) 43.99% (G:13.46% B:0.86%)  

3.  2ply  24/20 24/18*  eq: 0.015 (0.249) 
 Player: Opponent:  55.75% (G:15.83% B:0.90%) 44.25% (G:13.93% B:0.84%)  

4.  2ply  24/18* 11/7  eq: 0.017 (0.252) 
 Player: Opponent:  55.20% (G:16.69% B:0.99%) 44.80% (G:13.56% B:0.73%)  

5.  1ply  24/18* 7/3*  eq: 0.084 (0.318) 
 Player: Opponent:  54.94% (G:20.67% B:1.41%) 45.06% (G:16.56% B:1.70%)  



32: Bar/22 8/6 


1.  Rollout^{1}  Bar/22 8/6  eq: 0.261 (+0.021) 
 Player: Opponent:  37.75% (G:10.80% B:0.30%) 62.25% (G:17.62% B:2.56%)  Conf.: ± 0.015 (0.276...0.246)  [96.4%] Duration: 14 minutes 38 seconds 

2.  Rollout^{1}  Bar/20  eq: 0.283 
 Player: Opponent:  38.01% (G:10.75% B:0.38%) 61.99% (G:21.13% B:3.52%)  Conf.: ± 0.018 (0.300...0.265)  [3.6%] Duration: 16 minutes 08 seconds 

3.  XG Roller++  Bar/22 24/22  eq: 0.273 (+0.009) 
 Player: Opponent:  37.58% (G:8.66% B:0.24%) 62.42% (G:12.54% B:0.46%)  

4.  XG Roller++  Bar/23 4/1*  eq: 0.299 (0.016) 
 Player: Opponent:  37.32% (G:9.72% B:0.25%) 62.68% (G:18.93% B:1.21%)  

5.  3ply  Bar/22 4/2  eq: 0.340 (0.057) 
 Player: Opponent:  36.62% (G:8.79% B:0.31%) 63.38% (G:16.78% B:0.68%)  


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



32: 11/6 


1.  XG Roller++  11/6  eq: +0.068 
 Player: Opponent:  57.40% (G:13.96% B:0.60%) 42.60% (G:11.90% B:0.36%)  

2.  XG Roller++  14/11 13/11  eq: +0.000 (0.068) 
 Player: Opponent:  56.62% (G:16.26% B:0.88%) 43.38% (G:14.07% B:0.44%)  

3.  4ply  14/11 6/4  eq: +0.007 (0.061) 
 Player: Opponent:  56.46% (G:14.54% B:0.65%) 43.54% (G:13.64% B:0.47%)  

4.  3ply  13/10 6/4  eq: 0.018 (0.086) 
 Player: Opponent:  56.08% (G:14.79% B:0.69%) 43.92% (G:13.97% B:0.60%)  

5.  3ply  13/11 13/10  eq: 0.055 (0.123) 
 Player: Opponent:  55.45% (G:15.10% B:0.72%) 44.55% (G:14.57% B:0.66%)  



65: 13/7 6/1* 


1.  XG Roller++  13/7 6/1*  eq: 0.208 
 Player: Opponent:  38.80% (G:10.98% B:0.22%) 61.20% (G:17.75% B:0.96%)  

2.  XG Roller++  13/2  eq: 0.244 (0.035) 
 Player: Opponent:  38.14% (G:10.22% B:0.27%) 61.86% (G:16.51% B:0.84%)  

3.  XG Roller++  22/16 13/8  eq: 0.289 (0.080) 
 Player: Opponent:  37.81% (G:9.87% B:0.35%) 62.19% (G:19.82% B:1.07%)  

4.  3ply  22/16 6/1*  eq: 0.337 (0.128) 
 Player: Opponent:  37.41% (G:9.97% B:0.30%) 62.59% (G:21.91% B:1.48%)  

5.  3ply  22/17 22/16  eq: 0.401 (0.193) 
 Player: Opponent:  36.32% (G:9.71% B:0.42%) 63.68% (G:25.48% B:1.53%)  



61: Bar/24* 24/18* 


1.  3ply  Bar/24* 24/18*  eq: +0.448 
 Player: Opponent:  64.37% (G:27.32% B:1.77%) 35.63% (G:6.83% B:0.28%)  

2.  3ply  Bar/24* 13/7  eq: +0.322 (0.126) 
 Player: Opponent:  61.85% (G:23.55% B:1.25%) 38.15% (G:8.79% B:0.38%)  

3.  1ply  Bar/24* 14/8  eq: +0.154 (0.294) 
 Player: Opponent:  58.23% (G:22.55% B:1.35%) 41.77% (G:11.36% B:0.65%)  

4.  1ply  Bar/24* 7/1*  eq: +0.104 (0.344) 
 Player: Opponent:  56.97% (G:24.63% B:1.15%) 43.03% (G:12.44% B:0.64%)  



42: Bar/23 


1.  3ply  Bar/23  eq: 0.497 
 Player: Opponent:  35.81% (G:6.71% B:0.33%) 64.19% (G:30.15% B:1.76%)  



43: 18/11 


1.  Rollout^{1}  18/15 6/2*  eq: +0.454 
 Player: Opponent:  63.18% (G:29.06% B:7.22%) 36.82% (G:7.95% B:0.31%)  Conf.: ± 0.018 (+0.435...+0.472)  [55.4%] Duration: 18 minutes 08 seconds 

2.  Rollout^{1}  18/11  eq: +0.452 (0.002) 
 Player: Opponent:  63.21% (G:27.20% B:6.74%) 36.79% (G:7.16% B:0.27%)  Conf.: ± 0.018 (+0.434...+0.470)  [44.6%] Duration: 16 minutes 47 seconds 

3.  XG Roller++  18/14 13/10  eq: +0.453 (0.001) 
 Player: Opponent:  63.60% (G:26.41% B:1.57%) 36.40% (G:6.40% B:0.26%)  

4.  XG Roller++  13/10 6/2*  eq: +0.433 (0.021) 
 Player: Opponent:  62.94% (G:29.40% B:2.07%) 37.06% (G:8.07% B:0.40%)  

5.  3ply  14/11 6/2*  eq: +0.364 (0.089) 
 Player: Opponent:  62.81% (G:29.06% B:2.10%) 37.19% (G:8.74% B:0.51%)  


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



11: Bar/23 8/7 6/5 


1.  Rollout^{1}  Bar/23 6/5 4/3  eq: 0.316 
 Player: Opponent:  40.11% (G:7.45% B:0.33%) 59.89% (G:26.53% B:6.98%)  Conf.: ± 0.019 (0.336...0.297)  [91.8%] Duration: 15 minutes 51 seconds 

2.  Rollout^{1}  Bar/23 8/7 6/5  eq: 0.335 (0.019) 
 Player: Opponent:  39.39% (G:7.18% B:0.29%) 60.61% (G:26.39% B:5.74%)  Conf.: ± 0.018 (0.353...0.317)  [8.2%] Duration: 14 minutes 58 seconds 

3.  XG Roller++  Bar/24 8/7 6/5 4/3  eq: 0.303 (+0.014) 
 Player: Opponent:  39.06% (G:6.98% B:0.28%) 60.94% (G:26.94% B:2.79%)  

4.  XG Roller++  Bar/22 23/22  eq: 0.669 (0.353) 
 Player: Opponent:  30.21% (G:4.99% B:0.19%) 69.79% (G:30.08% B:1.28%)  

5.  4ply  Bar/23 8/7 4/3  eq: 0.335 (0.018) 
 Player: Opponent:  38.13% (G:6.72% B:0.23%) 61.87% (G:25.25% B:1.55%)  


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



65: 14/8 13/8 


1.  3ply  14/8 13/8  eq: +0.299 
 Player: Opponent:  61.07% (G:25.35% B:1.56%) 38.93% (G:6.91% B:0.23%)  

2.  3ply  13/7 6/1*  eq: +0.146 (0.152) 
 Player: Opponent:  57.31% (G:25.18% B:1.59%) 42.69% (G:8.44% B:0.32%)  

3.  2ply  11/5 6/1*  eq: +0.129 (0.169) 
 Player: Opponent:  56.89% (G:23.90% B:1.46%) 43.11% (G:10.48% B:0.48%)  

4.  2ply  13/7 11/6  eq: +0.079 (0.220) 
 Player: Opponent:  55.68% (G:23.08% B:1.42%) 44.32% (G:8.91% B:0.38%)  

5.  2ply  7/1* 6/1  eq: +0.030 (0.269) 
 Player: Opponent:  53.75% (G:25.29% B:1.75%) 46.25% (G:9.62% B:0.50%)  



55: 13/3 8/3 7/2 


1.  Rollout^{1}  13/3(2)  eq: 0.762 
 Player: Opponent:  28.38% (G:4.13% B:0.14%) 71.62% (G:26.73% B:6.14%)  Conf.: ± 0.014 (0.776...0.747)  [99.0%] Duration: 11 minutes 54 seconds 

2.  Rollout^{1}  13/3 8/3 7/2  eq: 0.787 (0.026) 
 Player: Opponent:  28.30% (G:3.96% B:0.12%) 71.70% (G:29.06% B:7.16%)  Conf.: ± 0.016 (0.803...0.772)  [1.0%] Duration: 12 minutes 26 seconds 

3.  4ply  13/8 13/3 7/2  eq: 0.786 (0.024) 
 Player: Opponent:  26.53% (G:3.64% B:0.14%) 73.47% (G:28.18% B:1.58%)  

4.  3ply  13/3 8/3 6/1  eq: 0.921 (0.159) 
 Player: Opponent:  24.73% (G:2.82% B:0.13%) 75.27% (G:33.91% B:2.31%)  

5.  2ply  13/3 7/2 6/1  eq: 0.884 (0.122) 
 Player: Opponent:  24.83% (G:2.43% B:0.06%) 75.17% (G:36.19% B:2.64%)  


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



32: 14/12* 13/10 


1.  Rollout^{1}  14/12* 13/10  eq: +0.820 (+0.025) 
 Player: Opponent:  70.86% (G:33.78% B:9.54%) 29.14% (G:4.35% B:0.25%)  Conf.: ± 0.017 (+0.804...+0.837)  [98.6%] Duration: 14 minutes 18 seconds 

2.  Rollout^{1}  14/11 6/4  eq: +0.795 
 Player: Opponent:  72.87% (G:25.67% B:5.36%) 27.13% (G:3.80% B:0.12%)  Conf.: ± 0.015 (+0.780...+0.810)  [1.4%] Duration: 11 minutes 16 seconds 

3.  XG Roller++  14/12* 12/9  eq: +0.806 (+0.011) 
 Player: Opponent:  71.35% (G:35.04% B:3.03%) 28.65% (G:4.13% B:0.17%)  

4.  4ply  14/11 13/11  eq: +0.724 (0.071) 
 Player: Opponent:  71.38% (G:24.94% B:1.44%) 28.62% (G:4.16% B:0.16%)  

5.  3ply  11/8 6/4  eq: +0.666 (0.130) 
 Player: Opponent:  70.48% (G:26.13% B:1.53%) 29.52% (G:4.72% B:0.12%)  


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



43: Bar/22 24/20 


1.  3ply  Bar/22 24/20  eq: 0.840 
 Player: Opponent:  27.67% (G:3.64% B:0.21%) 72.33% (G:35.73% B:2.31%)  

2.  2ply  Bar/22 6/2  eq: 0.943 (0.104) 
 Player: Opponent:  23.00% (G:2.55% B:0.06%) 77.00% (G:36.05% B:1.92%)  

3.  2ply  Bar/22 5/1  eq: 0.967 (0.128) 
 Player: Opponent:  22.29% (G:2.57% B:0.05%) 77.71% (G:36.05% B:2.02%)  



31: 8/5* 6/5 


1.  4ply  8/5* 6/5  eq: +0.973 
 Player: Opponent:  76.02% (G:39.24% B:2.76%) 23.98% (G:3.52% B:0.33%)  

2.  4ply  13/10 6/5*  eq: +0.881 (0.091) 
 Player: Opponent:  73.89% (G:35.42% B:2.32%) 26.11% (G:3.91% B:0.18%)  

3.  4ply  12/9 10/9  eq: +0.866 (0.107) 
 Player: Opponent:  74.83% (G:29.45% B:1.35%) 25.17% (G:3.13% B:0.13%)  

4.  2ply  13/10 11/10  eq: +0.744 (0.229) 
 Player: Opponent:  71.82% (G:26.96% B:1.15%) 28.18% (G:3.40% B:0.15%)  

5.  2ply  13/10 12/11  eq: +0.710 (0.263) 
 Player: Opponent:  71.09% (G:26.86% B:1.21%) 28.91% (G:3.55% B:0.16%)  



54: Cannot Move 


1.  3ply  Cannot Move  eq: 1.017 
 Player: Opponent:  24.16% (G:1.73% B:0.06%) 75.84% (G:40.09% B:2.57%)  



42: 13/9 10/8 


1.  XG Roller++  12/8 11/9  eq: +1.116 (+0.005) 
 Player: Opponent:  78.23% (G:41.66% B:2.66%) 21.77% (G:1.58% B:0.05%)  

2.  XG Roller++  13/9 10/8  eq: +1.111 
 Player: Opponent:  78.05% (G:41.60% B:2.61%) 21.95% (G:1.53% B:0.05%)  

3.  4ply  12/8 6/4  eq: +1.062 (0.049) 
 Player: Opponent:  77.22% (G:40.29% B:2.45%) 22.78% (G:1.66% B:0.05%)  

4.  4ply  13/11 12/8  eq: +1.025 (0.086) 
 Player: Opponent:  76.51% (G:38.95% B:2.33%) 23.49% (G:1.58% B:0.05%)  

5.  3ply  12/8 10/8  eq: +0.952 (0.159) 
 Player: Opponent:  76.48% (G:39.27% B:2.41%) 23.52% (G:1.55% B:0.05%)  



33: Bar/22 6/3(2) 5/2 


1.  XG Roller++  Bar/22 6/3(2) 5/2  eq: 1.306 
 Player: Opponent:  14.88% (G:0.75% B:0.01%) 85.12% (G:42.59% B:1.86%)  

2.  XG Roller++  Bar/22 6/3(2) 4/1  eq: 1.345 (0.039) 
 Player: Opponent:  14.27% (G:0.67% B:0.01%) 85.73% (G:44.62% B:2.12%)  

3.  4ply  Bar/22 6/3 5/2 4/1  eq: 1.352 (0.046) 
 Player: Opponent:  13.35% (G:0.56% B:0.01%) 86.65% (G:43.46% B:1.89%)  

4.  3ply  Bar/22 5/2 4/1(2)  eq: 1.432 (0.126) 
 Player: Opponent:  12.28% (G:0.66% B:0.01%) 87.72% (G:43.75% B:1.89%)  

5.  3ply  Bar/22 6/3 4/1(2)  eq: 1.455 (0.148) 
 Player: Opponent:  12.27% (G:0.44% B:0.01%) 87.73% (G:45.19% B:2.15%)  



63: 12/9 11/5 


1.  XG Roller++  12/9 11/5  eq: +1.391 
 Player: Opponent:  85.57% (G:43.84% B:1.80%) 14.43% (G:0.63% B:0.02%)  

2.  XG Roller++  12/9 7/1  eq: +1.355 (0.036) 
 Player: Opponent:  85.53% (G:41.30% B:1.71%) 14.47% (G:1.22% B:0.03%)  

3.  3ply  12/6 11/8  eq: +1.213 (0.178) 
 Player: Opponent:  84.31% (G:36.91% B:1.83%) 15.69% (G:0.65% B:0.01%)  

4.  3ply  11/5 9/6  eq: +1.163 (0.228) 
 Player: Opponent:  82.52% (G:37.80% B:1.99%) 17.48% (G:0.62% B:0.01%)  

5.  2ply  12/6 9/6  eq: +1.167 (0.224) 
 Player: Opponent:  82.02% (G:36.49% B:1.93%) 17.98% (G:0.72% B:0.02%)  



61: 3/2 


1.  XG Roller++  3/2  eq: 1.316 
 Player: Opponent:  15.21% (G:0.65% B:0.01%) 84.79% (G:43.20% B:1.84%)  

2.  XG Roller++  2/1  eq: 1.347 (0.031) 
 Player: Opponent:  15.11% (G:0.66% B:0.01%) 84.89% (G:45.70% B:2.24%)  

3.  XG Roller++  23/22  eq: 1.938 (0.622) 
 Player: Opponent:  6.25% (G:0.22% B:0.00%) 93.75% (G:65.99% B:1.87%)  

4.  4ply  4/3  eq: 1.342 (0.026) 
 Player: Opponent:  14.31% (G:0.51% B:0.01%) 85.69% (G:45.57% B:2.27%)  



41: 6/1 


1.  Rollout^{1}  6/1  eq: +1.455 (+0.040) 
 Player: Opponent:  84.64% (G:44.68% B:10.30%) 15.36% (G:0.63% B:0.02%)  Conf.: ± 0.013 (+1.442...+1.468)  [100.0%] Duration: 9 minutes 43 seconds 

2.  Rollout^{1}  8/7 8/4  eq: +1.415 
 Player: Opponent:  84.93% (G:41.74% B:8.15%) 15.07% (G:0.43% B:0.01%)  Conf.: ± 0.012 (+1.403...+1.426)  [0.0%] Duration: 9 minutes 34 seconds 

3.  4ply  8/4 6/5  eq: +1.310 (0.105) 
 Player: Opponent:  85.48% (G:38.82% B:1.69%) 14.52% (G:0.84% B:0.02%)  

4.  4ply  8/7 5/1  eq: +1.305 (0.110) 
 Player: Opponent:  85.52% (G:38.29% B:1.52%) 14.48% (G:0.86% B:0.02%)  

5.  3ply  7/6 5/1  eq: +1.256 (0.159) 
 Player: Opponent:  84.63% (G:40.29% B:1.81%) 15.37% (G:0.83% B:0.01%)  


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



52: 3/1 


1.  4ply  3/1  eq: 1.290 
 Player: Opponent:  16.01% (G:0.71% B:0.01%) 83.99% (G:45.78% B:2.01%)  

2.  4ply  4/2  eq: 1.349 (0.059) 
 Player: Opponent:  14.32% (G:0.62% B:0.01%) 85.68% (G:45.82% B:1.97%)  



43: 9/6 5/1 


1.  Rollout^{1}  7/4 5/1  eq: +1.491 
 Player: Opponent:  85.64% (G:45.36% B:10.21%) 14.36% (G:0.71% B:0.02%)  Conf.: ± 0.012 (+1.479...+1.503)  [100.0%] Duration: 9 minutes 20 seconds 

2.  Rollout^{1}  8/5 8/4  eq: +1.445 (0.046) 
 Player: Opponent:  83.97% (G:45.66% B:10.33%) 16.03% (G:0.59% B:0.02%)  Conf.: ± 0.011 (+1.434...+1.457)  [0.0%] Duration: 9 minutes 03 seconds 

3.  Rollout^{1}  9/6 5/1  eq: +1.306 (0.185) 
 Player: Opponent:  82.01% (G:39.26% B:10.67%) 17.99% (G:0.73% B:0.01%)  Conf.: ± 0.013 (+1.293...+1.319)  [0.0%] Duration: 9 minutes 50 seconds 

4.  4ply  8/1  eq: +1.351 (0.140) 
 Player: Opponent:  84.74% (G:43.35% B:1.75%) 15.26% (G:0.83% B:0.02%)  

5.  3ply  5/1 4/1  eq: +1.195 (0.296) 
 Player: Opponent:  82.71% (G:42.07% B:1.52%) 17.29% (G:0.97% B:0.02%)  


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



22: 4/2(2) 3/1(2) 


1.  XG Roller++  4/2(2) 3/1(2)  eq: 1.684 
 Player: Opponent:  6.05% (G:0.13% B:0.00%) 93.95% (G:48.33% B:1.83%)  

2.  XG Roller++  4/2(3) 3/1  eq: 1.696 (0.012) 
 Player: Opponent:  5.70% (G:0.13% B:0.00%) 94.30% (G:48.49% B:1.76%)  



11: 9/8 7/6 7/5 


1.  Rollout^{1}  7/4 6/5  eq: +1.774 
 Player: Opponent:  94.67% (G:48.15% B:13.24%) 5.33% (G:0.13% B:0.00%)  Conf.: ± 0.008 (+1.766...+1.782)  [100.0%] Duration: 7 minutes 04 seconds 

2.  Rollout^{1}  9/8 7/6 7/5  eq: +1.728 (0.046) 
 Player: Opponent:  94.41% (G:45.44% B:8.45%) 5.59% (G:0.04% B:0.00%)  Conf.: ± 0.007 (+1.721...+1.735)  [0.0%] Duration: 6 minutes 04 seconds 

3.  XG Roller++  7/5(2)  eq: +1.719 (0.055) 
 Player: Opponent:  94.54% (G:48.35% B:1.85%) 5.46% (G:0.11% B:0.00%)  

4.  XG Roller++  7/6 7/4  eq: +1.712 (0.062) 
 Player: Opponent:  94.50% (G:47.95% B:1.81%) 5.50% (G:0.11% B:0.00%)  

5.  4ply  7/5 6/5(2)  eq: +1.681 (0.093) 
 Player: Opponent:  94.22% (G:47.20% B:1.86%) 5.78% (G:0.19% B:0.00%)  


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



53: 23/15 


1.  3ply  23/15  eq: 2.138 
 Player: Opponent:  2.52% (G:0.08% B:0.00%) 97.48% (G:68.55% B:1.57%)  

2.  3ply  23/18 4/1  eq: 2.236 (0.098) 
 Player: Opponent:  1.81% (G:0.05% B:0.00%) 98.19% (G:72.92% B:2.31%)  



43: 6/2* 5/2 


1.  4ply  6/2* 5/2  eq: +2.222 
 Player: Opponent:  98.04% (G:72.44% B:1.47%) 1.96% (G:0.04% B:0.00%)  

2.  4ply  8/5 6/2*  eq: +2.151 (0.071) 
 Player: Opponent:  97.74% (G:68.82% B:1.70%) 2.26% (G:0.06% B:0.00%)  

3.  3ply  8/4 5/2*  eq: +2.108 (0.115) 
 Player: Opponent:  97.45% (G:67.84% B:2.04%) 2.55% (G:0.06% B:0.00%)  

4.  1ply  8/1  eq: +1.856 (0.366) 
 Player: Opponent:  96.65% (G:54.55% B:1.08%) 3.35% (G:0.05% B:0.00%)  

5.  1ply  8/5 8/4  eq: +1.824 (0.399) 
 Player: Opponent:  95.42% (G:55.20% B:1.65%) 4.58% (G:0.15% B:0.00%)  



52: Cannot Move 


1.  3ply  Cannot Move  eq: 2.344 
 Player: Opponent:  1.68% (G:0.03% B:0.00%) 98.32% (G:79.02% B:1.83%)  



21: 8/5 


1.  XG Roller++  8/5  eq: +2.299 
 Player: Opponent:  98.34% (G:76.19% B:1.81%) 1.66% (G:0.01% B:0.00%)  

2.  XG Roller++  8/7 6/4  eq: +2.290 (0.009) 
 Player: Opponent:  98.31% (G:75.69% B:1.66%) 1.69% (G:0.02% B:0.00%)  

3.  XG Roller++  8/7 8/6  eq: +2.273 (0.026) 
 Player: Opponent:  98.08% (G:75.04% B:1.93%) 1.92% (G:0.02% B:0.00%)  

4.  4ply  6/5 6/4  eq: +2.246 (0.053) 
 Player: Opponent:  98.11% (G:73.64% B:1.55%) 1.89% (G:0.04% B:0.00%)  

5.  2ply  6/4 2/1  eq: +2.096 (0.203) 
 Player: Opponent:  97.22% (G:66.64% B:1.47%) 2.78% (G:0.09% B:0.00%)  



54: Cannot Move 


1.  3ply  Cannot Move  eq: 2.417 
 Player: Opponent:  1.30% (G:0.02% B:0.00%) 98.70% (G:82.55% B:2.17%)  



43: 8/5 8/4 


1.  XG Roller++  8/5 8/4  eq: +2.443 
 Player: Opponent:  98.84% (G:83.70% B:2.76%) 1.16% (G:0.00% B:0.00%)  

2.  XG Roller++  8/5 6/2  eq: +2.399 (0.044) 
 Player: Opponent:  98.59% (G:81.56% B:2.47%) 1.41% (G:0.00% B:0.00%)  

3.  4ply  8/4 5/2  eq: +2.393 (0.050) 
 Player: Opponent:  98.62% (G:81.26% B:1.86%) 1.38% (G:0.02% B:0.00%)  

4.  3ply  8/1  eq: +2.363 (0.081) 
 Player: Opponent:  98.64% (G:80.41% B:2.26%) 1.36% (G:0.01% B:0.00%)  

5.  3ply  6/2 5/2  eq: +2.299 (0.144) 
 Player: Opponent:  98.15% (G:77.91% B:1.94%) 1.85% (G:0.02% B:0.00%)  



55: Cannot Move 


1.  3ply  Cannot Move  eq: 2.508 
 Player: Opponent:  0.99% (G:0.01% B:0.00%) 99.01% (G:87.19% B:2.60%)  



31: 4/Off 


1.  Rollout^{1}  6/2  eq: +2.494 
 Player: Opponent:  98.98% (G:85.35% B:24.16%) 1.02% (G:0.00% B:0.00%)  Conf.: ± 0.005 (+2.489...+2.499)  [98.7%] Duration: 3 minutes 21 seconds 

2.  Rollout^{1}  4/Off  eq: +2.487 (0.007) 
 Player: Opponent:  98.95% (G:84.96% B:23.85%) 1.05% (G:0.00% B:0.00%)  Conf.: ± 0.004 (+2.483...+2.491)  [1.3%] Duration: 3 minutes 07 seconds 

3.  XG Roller++  5/4 5/2  eq: +2.453 (0.041) 
 Player: Opponent:  98.71% (G:84.46% B:2.79%) 1.29% (G:0.00% B:0.00%)  

4.  XG Roller++  5/1  eq: +2.442 (0.052) 
 Player: Opponent:  98.63% (G:83.98% B:2.90%) 1.37% (G:0.00% B:0.00%)  

5.  XG Roller++  6/5 4/1  eq: +2.442 (0.052) 
 Player: Opponent:  98.67% (G:83.91% B:3.27%) 1.33% (G:0.00% B:0.00%)  


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



64: Cannot Move 


1.  3ply  Cannot Move  eq: 2.522 
 Player: Opponent:  1.06% (G:0.00% B:0.00%) 98.94% (G:88.13% B:3.33%)  



62: 6/4 6/Off 


1.  3ply  6/4 6/Off  eq: +2.548 
 Player: Opponent:  99.23% (G:89.74% B:3.68%) 0.77% (G:0.00% B:0.00%)  

2.  2ply  6/Off 2/Off  eq: +2.365 (0.183) 
 Player: Opponent:  98.24% (G:80.29% B:3.29%) 1.76% (G:0.00% B:0.00%)  

3.  1ply  6/Off 4/2  eq: +2.207 (0.341) 
 Player: Opponent:  97.16% (G:75.00% B:2.99%) 2.84% (G:0.00% B:0.00%)  



31: Bar/22 15/14 


1.  XG Roller++  Bar/22 15/14  eq: 2.534 
 Player: Opponent:  0.83% (G:0.00% B:0.00%) 99.17% (G:88.84% B:5.50%)  

2.  XG Roller++  Bar/22 2/1  eq: 2.538 (0.004) 
 Player: Opponent:  0.83% (G:0.00% B:0.00%) 99.17% (G:89.04% B:6.17%)  

3.  XG Roller++  Bar/22 4/3  eq: 2.545 (0.010) 
 Player: Opponent:  0.77% (G:0.00% B:0.00%) 99.23% (G:89.28% B:6.31%)  



64: 6/2 6/Off 


1.  3ply  6/2 6/Off  eq: +2.581 
 Player: Opponent:  99.48% (G:90.99% B:2.73%) 0.52% (G:0.00% B:0.00%)  

2.  3ply  6/Off 4/Off  eq: +2.391 (0.190) 
 Player: Opponent:  98.59% (G:81.88% B:2.98%) 1.41% (G:0.00% B:0.00%)  

3.  2ply  6/Off 5/1  eq: +2.399 (0.182) 
 Player: Opponent:  98.53% (G:81.74% B:2.14%) 1.47% (G:0.00% B:0.00%)  



22: 14/6 


1.  XG Roller++  14/6  eq: 2.589 
 Player: Opponent:  0.66% (G:0.00% B:0.00%) 99.34% (G:91.41% B:11.85%)  

2.  XG Roller++  14/8 4/2  eq: 2.616 (0.027) 
 Player: Opponent:  0.37% (G:0.00% B:0.00%) 99.63% (G:92.39% B:12.35%)  



65: 5/Off(2) 


1.  3ply  5/Off(2)  eq: +2.595 
 Player: Opponent:  99.48% (G:91.75% B:4.41%) 0.52% (G:0.00% B:0.00%)  



53: 22/19 22/17 


1.  XG Roller++  22/19 22/17  eq: 2.612 
 Player: Opponent:  0.50% (G:0.00% B:0.00%) 99.50% (G:92.19% B:23.08%)  

2.  XG Roller++  22/14  eq: 2.615 (0.002) 
 Player: Opponent:  0.49% (G:0.00% B:0.00%) 99.51% (G:92.31% B:25.77%)  

3.  XG Roller++  22/17 4/1  eq: 2.628 (0.015) 
 Player: Opponent:  0.31% (G:0.00% B:0.00%) 99.69% (G:92.77% B:27.74%)  

4.  XG Roller++  22/17 6/3  eq: 2.634 (0.022) 
 Player: Opponent:  0.41% (G:0.00% B:0.00%) 99.59% (G:93.37% B:26.67%)  

5.  XG Roller++  22/19 6/1  eq: 2.642 (0.030) 
 Player: Opponent:  0.27% (G:0.00% B:0.00%) 99.73% (G:93.56% B:27.36%)  



65: 5/Off(2) 


1.  3ply  5/Off(2)  eq: +2.648 
 Player: Opponent:  99.64% (G:94.33% B:6.39%) 0.36% (G:0.00% B:0.00%)  



21: 19/18 17/15 


1.  Rollout^{1}  19/18 6/4  eq: 2.644 
 Player: Opponent:  0.22% (G:0.00% B:0.00%) 99.78% (G:93.26% B:32.00%)  Conf.: ± 0.002 (2.646...2.642)  [100.0%] Duration: 30.9 seconds 

2.  Rollout^{1}  19/18 17/15  eq: 2.663 (0.020) 
 Player: Opponent:  0.20% (G:0.00% B:0.00%) 99.80% (G:94.39% B:36.05%)  Conf.: ± 0.002 (2.665...2.662)  [0.0%] Duration: 33.6 seconds 

3.  XG Roller++  17/16 6/4  eq: 2.640 (+0.004) 
 Player: Opponent:  0.37% (G:0.00% B:0.00%) 99.63% (G:93.49% B:47.93%)  

4.  XG Roller++  6/4 2/1  eq: 2.642 (+0.002) 
 Player: Opponent:  0.36% (G:0.00% B:0.00%) 99.64% (G:93.62% B:47.81%)  

5.  XG Roller++  22/20 17/16  eq: 2.661 (0.017) 
 Player: Opponent:  0.28% (G:0.00% B:0.00%) 99.72% (G:94.61% B:45.44%)  


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



21: 4/2 1/Off 


1.  XG Roller++  4/2 1/Off  eq: +2.699 
 Player: Opponent:  99.81% (G:96.57% B:41.20%) 0.19% (G:0.00% B:0.00%)  

2.  XG Roller++  4/1  eq: +2.697 (0.002) 
 Player: Opponent:  99.81% (G:96.43% B:36.86%) 0.19% (G:0.00% B:0.00%)  

3.  4ply  2/Off 1/Off  eq: +2.634 (0.065) 
 Player: Opponent:  99.54% (G:93.36% B:41.71%) 0.46% (G:0.00% B:0.00%)  

4.  4ply  2/1 2/Off  eq: +2.616 (0.083) 
 Player: Opponent:  99.44% (G:92.48% B:31.06%) 0.56% (G:0.00% B:0.00%)  



53: 22/17 15/12 


1.  Rollout^{1}  22/17 15/12  eq: 2.707 (+0.001) 
 Player: Opponent:  0.08% (G:0.00% B:0.00%) 99.92% (G:96.72% B:33.85%)  Conf.: ± 0.001 (2.708...2.705)  [91.7%] Duration: 16.1 seconds 

2.  Rollout^{1}  18/10  eq: 2.708 
 Player: Opponent:  0.09% (G:0.00% B:0.00%) 99.91% (G:96.82% B:42.91%)  Conf.: ± 0.001 (2.709...2.707)  [8.3%] Duration: 14.8 seconds 

3.  XG Roller++  22/19 15/10  eq: 2.705 (+0.003) 
 Player: Opponent:  0.15% (G:0.00% B:0.00%) 99.85% (G:96.87% B:38.60%)  

4.  XG Roller++  18/13 15/12  eq: 2.709 (0.001) 
 Player: Opponent:  0.16% (G:0.00% B:0.00%) 99.84% (G:97.11% B:44.34%)  

5.  XG Roller++  22/19 18/13  eq: 2.711 (0.003) 
 Player: Opponent:  0.13% (G:0.00% B:0.00%) 99.87% (G:97.15% B:34.19%)  


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



51: 4/Off 1/Off 


1.  Rollout^{1}  4/Off 2/1  eq: +2.536 
 Player: Opponent:  99.76% (G:87.11% B:24.29%) 0.24% (G:0.00% B:0.00%)  Conf.: ± 0.002 (+2.534...+2.538)  [100.0%] Duration: 47.0 seconds 

2.  Rollout^{1}  4/Off 1/Off  eq: +2.525 (0.011) 
 Player: Opponent:  99.59% (G:86.58% B:42.42%) 0.41% (G:0.00% B:0.00%)  Conf.: ± 0.003 (+2.522...+2.528)  [0.0%] Duration: 1 minute 00 second 


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



51: 22/21* 17/12 


1.  4ply  22/21* 17/12  eq: 2.036 
 Player: Opponent:  2.41% (G:0.00% B:0.00%) 97.59% (G:63.24% B:6.09%)  

2.  4ply  22/21* 18/13  eq: 2.111 (0.076) 
 Player: Opponent:  2.18% (G:0.00% B:0.00%) 97.82% (G:67.21% B:10.94%)  

3.  4ply  22/21* 21/16  eq: 2.121 (0.085) 
 Player: Opponent:  2.18% (G:0.00% B:0.00%) 97.82% (G:67.73% B:10.62%)  

4.  3ply  22/21* 12/7  eq: 2.103 (0.067) 
 Player: Opponent:  2.10% (G:0.00% B:0.00%) 97.90% (G:65.84% B:10.08%)  

5.  3ply  22/17 22/21*  eq: 2.111 (0.075) 
 Player: Opponent:  1.98% (G:0.00% B:0.00%) 98.02% (G:66.08% B:6.86%)  



51: Bar/19* 


1.  3ply  Bar/19*  eq: +2.076 
 Player: Opponent:  97.71% (G:65.60% B:5.42%) 2.29% (G:0.00% B:0.00%)  

2.  1ply  Bar/20 2/1  eq: +1.763 (0.313) 
 Player: Opponent:  96.37% (G:49.25% B:2.12%) 3.63% (G:0.00% B:0.00%)  



51: Bar/24 21/16 


1.  Rollout^{1}  Bar/19  eq: 2.091 
 Player: Opponent:  1.36% (G:0.00% B:0.00%) 98.64% (G:62.51% B:16.69%)  Conf.: ± 0.006 (2.096...2.085)  [76.5%] Duration: 3 minutes 06 seconds 

2.  Rollout^{1}  Bar/24 21/16  eq: 2.094 (0.003) 
 Player: Opponent:  1.74% (G:0.00% B:0.00%) 98.26% (G:63.45% B:24.98%)  Conf.: ± 0.006 (2.100...2.087)  [23.5%] Duration: 3 minutes 11 seconds 

3.  XG Roller++  Bar/20 2/1  eq: 2.086 (+0.005) 
 Player: Opponent:  2.04% (G:0.00% B:0.00%) 97.96% (G:65.00% B:12.02%)  

4.  XG Roller++  Bar/20 18/17  eq: 2.090 (+0.000) 
 Player: Opponent:  2.07% (G:0.00% B:0.00%) 97.93% (G:65.30% B:12.82%)  

5.  XG Roller++  Bar/24 22/17  eq: 2.097 (0.006) 
 Player: Opponent:  2.29% (G:0.00% B:0.00%) 97.71% (G:66.04% B:15.04%)  


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



65: 19/8 


1.  3ply  19/8  eq: +2.200 
 Player: Opponent:  98.15% (G:71.84% B:9.64%) 1.85% (G:0.00% B:0.00%)  



65: 22/17* 16/10 


1.  XG Roller++  22/17* 16/10  eq: 1.986 
 Player: Opponent:  2.61% (G:0.00% B:0.00%) 97.39% (G:59.86% B:9.70%)  

2.  XG Roller++  22/17* 17/11  eq: 1.997 (0.011) 
 Player: Opponent:  2.63% (G:0.00% B:0.00%) 97.37% (G:60.62% B:11.71%)  

3.  XG Roller++  22/17* 18/12  eq: 2.007 (0.021) 
 Player: Opponent:  2.44% (G:0.00% B:0.00%) 97.56% (G:60.88% B:10.63%)  

4.  4ply  24/18 22/17*  eq: 2.037 (0.051) 
 Player: Opponent:  2.09% (G:0.00% B:0.00%) 97.91% (G:62.63% B:2.65%)  

5.  2ply  22/17* 12/6  eq: 2.159 (0.173) 
 Player: Opponent:  2.31% (G:0.00% B:0.00%) 97.69% (G:70.66% B:11.80%)  



22: Cannot Move 


1.  3ply  Cannot Move  eq: +1.780 
 Player: Opponent:  96.89% (G:49.06% B:3.37%) 3.11% (G:0.00% B:0.00%)  



63: 17/14 10/4 


1.  Rollout^{1}  18/15 10/4  eq: 1.711 
 Player: Opponent:  2.50% (G:0.00% B:0.00%) 97.50% (G:41.81% B:8.40%)  Conf.: ± 0.005 (1.716...1.706)  [100.0%] Duration: 1 minute 38 seconds 

2.  Rollout^{1}  17/14 10/4  eq: 1.734 (0.023) 
 Player: Opponent:  2.44% (G:0.00% B:0.00%) 97.56% (G:43.12% B:7.86%)  Conf.: ± 0.005 (1.739...1.729)  [0.0%] Duration: 1 minute 31 seconds 

3.  4ply  24/21 10/4  eq: 1.732 (0.021) 
 Player: Opponent:  3.00% (G:0.00% B:0.00%) 97.00% (G:45.62% B:1.67%)  

4.  3ply  12/9 10/4  eq: 1.777 (0.066) 
 Player: Opponent:  3.28% (G:0.00% B:0.00%) 96.72% (G:48.54% B:4.70%)  

5.  2ply  18/12 4/1  eq: 1.857 (0.145) 
 Player: Opponent:  1.59% (G:0.00% B:0.00%) 98.41% (G:51.18% B:2.42%)  


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



32: Bar/20 


1.  3ply  Bar/20  eq: +1.780 
 Player: Opponent:  96.97% (G:48.70% B:2.50%) 3.03% (G:0.00% B:0.00%)  



52: 12/5* 


1.  XG Roller++  12/5*  eq: 1.783 
 Player: Opponent:  3.38% (G:0.00% B:0.00%) 96.62% (G:48.21% B:10.66%)  

2.  XG Roller++  24/19 18/16  eq: 1.826 (0.043) 
 Player: Opponent:  2.71% (G:0.00% B:0.00%) 97.29% (G:49.36% B:3.82%)  

3.  XG Roller++  24/17  eq: 1.839 (0.056) 
 Player: Opponent:  2.67% (G:0.00% B:0.00%) 97.33% (G:50.02% B:4.71%)  

4.  4ply  24/19 14/12  eq: 1.838 (0.055) 
 Player: Opponent:  2.36% (G:0.00% B:0.00%) 97.64% (G:50.43% B:1.13%)  

5.  3ply  24/22 18/13  eq: 1.883 (0.099) 
 Player: Opponent:  2.31% (G:0.00% B:0.00%) 97.69% (G:53.03% B:3.06%)  



41: Cannot Move 


1.  3ply  Cannot Move  eq: +1.527 
 Player: Opponent:  96.17% (G:34.25% B:1.90%) 3.83% (G:0.00% B:0.00%)  



21: 18/17 14/12 


1.  Rollout^{1}  18/16 5/4  eq: 1.661 
 Player: Opponent:  1.97% (G:0.00% B:0.00%) 98.03% (G:38.59% B:5.97%)  Conf.: ± 0.005 (1.666...1.656)  [100.0%] Duration: 1 minute 14 seconds 

2.  Rollout^{1}  18/17 14/12  eq: 1.738 (0.077) 
 Player: Opponent:  2.49% (G:0.00% B:0.00%) 97.51% (G:43.20% B:9.61%)  Conf.: ± 0.004 (1.742...1.734)  [0.0%] Duration: 1 minute 28 seconds 

3.  XG Roller++  14/12 5/4  eq: 1.686 (0.025) 
 Player: Opponent:  2.60% (G:0.00% B:0.00%) 97.40% (G:41.08% B:3.98%)  

4.  XG Roller++  24/22 5/4  eq: 1.707 (0.046) 
 Player: Opponent:  2.26% (G:0.00% B:0.00%) 97.74% (G:42.14% B:3.42%)  

5.  XG Roller++  12/10 5/4  eq: 1.710 (0.049) 
 Player: Opponent:  2.69% (G:0.00% B:0.00%) 97.31% (G:42.72% B:4.85%)  


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



41: Cannot Move 


1.  3ply  Cannot Move  eq: +1.478 
 Player: Opponent:  96.33% (G:30.84% B:1.28%) 3.67% (G:0.00% B:0.00%)  



64: 17/7 


1.  Rollout^{1}  17/11 5/1  eq: 1.548 
 Player: Opponent:  1.64% (G:0.00% B:0.00%) 98.36% (G:31.70% B:3.89%)  Conf.: ± 0.004 (1.552...1.544)  [100.0%] Duration: 48.9 seconds 

2.  Rollout^{1}  17/7  eq: 1.676 (0.129) 
 Player: Opponent:  2.44% (G:0.00% B:0.00%) 97.56% (G:39.75% B:8.43%)  Conf.: ± 0.004 (1.681...1.672)  [0.0%] Duration: 1 minute 22 seconds 

3.  XG Roller++  24/20 17/11  eq: 1.582 (0.035) 
 Player: Opponent:  3.09% (G:0.00% B:0.00%) 96.91% (G:35.28% B:4.50%)  

4.  XG Roller++  24/18 17/13  eq: 1.595 (0.047) 
 Player: Opponent:  2.83% (G:0.00% B:0.00%) 97.17% (G:35.84% B:2.12%)  

5.  4ply  24/14  eq: 1.578 (0.030) 
 Player: Opponent:  3.39% (G:0.00% B:0.00%) 96.61% (G:36.20% B:1.45%)  


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



54: Bar/20* 20/16 


1.  3ply  Bar/20* 20/16  eq: +1.879 
 Player: Opponent:  97.20% (G:54.52% B:4.49%) 2.80% (G:0.00% B:0.00%)  



51: Bar/20 7/6 


1.  XG Roller++  Bar/20 7/6  eq: 1.953 
 Player: Opponent:  2.77% (G:0.00% B:0.00%) 97.23% (G:56.78% B:15.38%)  

2.  XG Roller++  Bar/20 2/1  eq: 1.994 (0.041) 
 Player: Opponent:  2.47% (G:0.00% B:0.00%) 97.53% (G:58.94% B:15.50%)  

3.  4ply  Bar/19  eq: 2.002 (0.049) 
 Player: Opponent:  2.40% (G:0.00% B:0.00%) 97.60% (G:60.29% B:7.28%)  

4.  2ply  Bar/20 12/11  eq: 2.113 (0.160) 
 Player: Opponent:  2.20% (G:0.00% B:0.00%) 97.80% (G:67.58% B:10.28%)  

5.  2ply  Bar/20 4/3  eq: 2.138 (0.186) 
 Player: Opponent:  1.71% (G:0.00% B:0.00%) 98.29% (G:68.02% B:5.77%)  



32: 16/11 


1.  3ply  16/11  eq: +1.864 
 Player: Opponent:  97.33% (G:52.75% B:6.19%) 2.67% (G:0.00% B:0.00%)  



61: 20/14* 14/13 


1.  XG Roller++  20/14* 14/13  eq: 1.633 
 Player: Opponent:  3.81% (G:0.00% B:0.00%) 96.19% (G:39.29% B:6.07%)  

2.  XG Roller++  20/14* 2/1  eq: 1.647 (0.014) 
 Player: Opponent:  3.82% (G:0.00% B:0.00%) 96.18% (G:40.15% B:6.41%)  

3.  XG Roller++  20/14* 12/11  eq: 1.654 (0.021) 
 Player: Opponent:  4.12% (G:0.00% B:0.00%) 95.88% (G:40.77% B:8.95%)  

4.  XG Roller++  20/14* 6/5  eq: 1.672 (0.039) 
 Player: Opponent:  3.33% (G:0.00% B:0.00%) 96.67% (G:41.28% B:5.77%)  

5.  1ply  20/14* 4/3  eq: 1.969 (0.336) 
 Player: Opponent:  2.92% (G:0.00% B:0.00%) 97.08% (G:59.48% B:7.25%)  



41: Cannot Move 


1.  3ply  Cannot Move  eq: +1.324 
 Player: Opponent:  95.22% (G:22.41% B:0.92%) 4.78% (G:0.00% B:0.00%)  



54: 24/15 


1.  Rollout^{1}  24/20 6/1  eq: 1.483 
 Player: Opponent:  1.35% (G:0.00% B:0.00%) 98.65% (G:27.72% B:1.54%)  Conf.: ± 0.004 (1.487...1.480)  [100.0%] Duration: 47.4 seconds 

2.  Rollout^{1}  24/15  eq: 1.515 (0.032) 
 Player: Opponent:  2.14% (G:0.00% B:0.00%) 97.86% (G:29.97% B:4.02%)  Conf.: ± 0.004 (1.519...1.511)  [0.0%] Duration: 1 minute 09 seconds 

3.  XG Roller++  24/19 6/2  eq: 1.488 (0.005) 
 Player: Opponent:  1.97% (G:0.00% B:0.00%) 98.03% (G:28.87% B:0.78%)  

4.  3ply  13/8 6/2  eq: 1.528 (0.045) 
 Player: Opponent:  1.87% (G:0.00% B:0.00%) 98.13% (G:31.78% B:1.09%)  

5.  3ply  13/9 6/1  eq: 1.543 (0.060) 
 Player: Opponent:  1.93% (G:0.00% B:0.00%) 98.07% (G:32.75% B:1.29%)  


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



63: Bar/19* 19/16 


1.  3ply  Bar/19* 19/16  eq: +1.768 
 Player: Opponent:  97.05% (G:47.61% B:2.40%) 2.95% (G:0.00% B:0.00%)  

2.  1ply  Bar/16  eq: +1.333 (0.434) 
 Player: Opponent:  95.80% (G:22.89% B:0.78%) 4.20% (G:0.00% B:0.00%)  



51: Bar/24 13/8 


1.  XG Roller++  Bar/24 13/8  eq: 2.105 
 Player: Opponent:  2.10% (G:0.00% B:0.00%) 97.90% (G:64.72% B:23.12%)  

2.  XG Roller++  Bar/24 15/10  eq: 2.136 (0.031) 
 Player: Opponent:  2.13% (G:0.00% B:0.00%) 97.87% (G:66.65% B:24.31%)  

3.  XG Roller++  Bar/20 13/12  eq: 2.160 (0.055) 
 Player: Opponent:  1.60% (G:0.00% B:0.00%) 98.40% (G:67.28% B:8.55%)  

4.  4ply  Bar/20 2/1  eq: 2.157 (0.052) 
 Player: Opponent:  1.80% (G:0.00% B:0.00%) 98.20% (G:68.10% B:7.01%)  

5.  3ply  Bar/20 15/14  eq: 2.165 (0.060) 
 Player: Opponent:  1.53% (G:0.00% B:0.00%) 98.47% (G:68.08% B:5.39%)  



53: 16/8 


1.  3ply  16/8  eq: +2.257 
 Player: Opponent:  98.76% (G:73.34% B:5.06%) 1.24% (G:0.00% B:0.00%)  



62: 12/6 8/6 


1.  XG Roller++  12/6 8/6  eq: 2.322 
 Player: Opponent:  1.09% (G:0.00% B:0.00%) 98.91% (G:75.65% B:34.03%)  

2.  XG Roller++  24/16  eq: 2.712 (0.389) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:97.00% B:0.00%)  

3.  4ply  15/9 8/6  eq: 2.379 (0.057) 
 Player: Opponent:  0.89% (G:0.00% B:0.00%) 99.11% (G:79.53% B:19.48%)  

4.  4ply  15/13 12/6  eq: 2.389 (0.067) 
 Player: Opponent:  0.91% (G:0.00% B:0.00%) 99.09% (G:80.12% B:20.07%)  

5.  4ply  12/10 12/6  eq: 2.395 (0.072) 
 Player: Opponent:  0.96% (G:0.00% B:0.00%) 99.04% (G:80.54% B:19.95%)  



21: 8/5 


1.  3ply  8/5  eq: +1.906 
 Player: Opponent:  97.32% (G:53.87% B:4.25%) 2.68% (G:0.00% B:0.00%)  

2.  1ply  8/6 2/1*  eq: +1.441 (0.466) 
 Player: Opponent:  89.95% (G:39.84% B:0.62%) 10.05% (G:0.00% B:0.00%)  



54: 24/20* 15/10 


1.  Rollout^{1}  24/20* 20/15  eq: 1.161 
 Player: Opponent:  3.30% (G:0.00% B:0.00%) 96.70% (G:9.67% B:0.31%)  Conf.: ± 0.003 (1.164...1.157)  [100.0%] Duration: 34.5 seconds 

2.  Rollout^{1}  24/20* 15/10  eq: 1.177 (0.017) 
 Player: Opponent:  3.22% (G:0.00% B:0.00%) 96.78% (G:10.53% B:1.22%)  Conf.: ± 0.003 (1.180...1.174)  [0.0%] Duration: 34.1 seconds 

3.  XG Roller++  24/19 15/11  eq: 2.645 (1.484) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:93.20% B:1.65%)  

4.  3ply  24/20* 12/7  eq: 1.244 (0.084) 
 Player: Opponent:  4.79% (G:0.00% B:0.00%) 95.21% (G:17.22% B:0.71%)  

5.  1ply  24/20* 6/1  eq: 1.598 (0.437) 
 Player: Opponent:  2.53% (G:0.00% B:0.00%) 97.47% (G:37.22% B:2.06%)  


^{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: 
95.92% (G:10.73% B:0.77%) 
93.32% (G:25.22% B:2.18%) 
Opponent Winning Chances: 
4.08% (G:0.00% B:0.00%) 
6.68% (G:0.00% B:0.00%) 
Cubeless Equities 
+1.108 
+2.450 
Cubeful Equities 
No double:  +1.169  
Double/Take:  +2.214 (+1.045)  
Double/Pass:  +1.000 (0.169) 

Best Cube action: Too good to double / Pass 
Percentage of wrong take needed to make the double decision right: 13.9% 


62: Cannot Move 


1.  3ply  Cannot Move  eq: +1.078 
 Player: Opponent:  92.89% (G:8.01% B:0.36%) 7.11% (G:0.00% B:0.00%)  



62: 20/12 


1.  Rollout^{1}  20/14 12/10  eq: 1.056 
 Player: Opponent:  3.39% (G:0.00% B:0.00%) 96.61% (G:3.49% B:0.18%)  Conf.: ± 0.002 (1.058...1.054)  [100.0%] Duration: 17.8 seconds 

2.  Rollout^{1}  20/12  eq: 1.081 (0.025) 
 Player: Opponent:  3.16% (G:0.00% B:0.00%) 96.84% (G:4.92% B:0.46%)  Conf.: ± 0.002 (1.082...1.079)  [0.0%] Duration: 16.8 seconds 

3.  XG Roller++  20/18 12/6  eq: 1.082 (0.026) 
 Player: Opponent:  4.25% (G:0.00% B:0.00%) 95.75% (G:5.30% B:0.41%)  

4.  XG Roller++  20/14 10/8  eq: 1.095 (0.039) 
 Player: Opponent:  4.37% (G:0.00% B:0.00%) 95.63% (G:6.25% B:0.24%)  

5.  XG Roller++  20/18 10/4  eq: 1.102 (0.046) 
 Player: Opponent:  3.86% (G:0.00% B:0.00%) 96.14% (G:6.48% B:0.10%)  


^{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: 
96.13% (G:5.14% B:0.26%) 
93.29% (G:16.99% B:1.11%) 
Opponent Winning Chances: 
3.87% (G:0.00% B:0.00%) 
6.71% (G:0.00% B:0.00%) 
Cubeless Equities 
+1.013 
+2.449 
Cubeful Equities 
No double:  +1.080  
Double/Take:  +2.212 (+1.131)  
Double/Pass:  +1.000 (0.080) 

Best Cube action: Too good to double / Pass 
Percentage of wrong take needed to make the double decision right: 6.6% 


32: Bar/20 


1.  3ply  Bar/20  eq: +1.084 
 Player: Opponent:  95.17% (G:7.22% B:0.25%) 4.83% (G:0.00% B:0.00%)  



41: 10/5* 


1.  Rollout^{1}  10/6 2/1  eq: 1.101 
 Player: Opponent:  0.96% (G:0.00% B:0.00%) 99.04% (G:5.82% B:0.00%)  Conf.: ± 0.001 (1.102...1.100)  [100.0%] Duration: 5.3 seconds 

2.  Rollout^{1}  10/5*  eq: 1.214 (0.113) 
 Player: Opponent:  4.53% (G:0.00% B:0.00%) 95.47% (G:13.17% B:1.18%)  Conf.: ± 0.003 (1.216...1.211)  [0.0%] Duration: 22.9 seconds 

3.  XG Roller++  10/6 4/3  eq: 1.107 (0.006) 
 Player: Opponent:  0.64% (G:0.00% B:0.00%) 99.36% (G:6.23% B:0.05%)  

4.  2ply  6/2 6/5*  eq: 1.325 (0.224) 
 Player: Opponent:  3.41% (G:0.00% B:0.00%) 96.59% (G:20.90% B:1.04%)  

5.  2ply  6/5* 5/1  eq: 1.353 (0.252) 
 Player: Opponent:  3.25% (G:0.00% B:0.00%) 96.75% (G:22.50% B:0.96%)  


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



41: Cannot Move 


1.  3ply  Cannot Move  eq: +1.022 
 Player: Opponent:  91.38% (G:3.80% B:0.17%) 8.62% (G:0.00% B:0.00%)  



62: 12/6 5/3 


1.  XG Roller++  12/6 5/3  eq: 1.089 
 Player: Opponent:  6.62% (G:0.00% B:0.00%) 93.38% (G:6.41% B:0.26%)  

2.  XG Roller++  12/10 12/6  eq: 1.114 (0.025) 
 Player: Opponent:  8.38% (G:0.00% B:0.00%) 91.62% (G:7.50% B:0.85%)  

3.  4ply  12/4  eq: 1.125 (0.036) 
 Player: Opponent:  7.60% (G:0.00% B:0.00%) 92.40% (G:9.03% B:0.32%)  

4.  2ply  12/6 4/2  eq: 1.301 (0.212) 
 Player: Opponent:  4.15% (G:0.00% B:0.00%) 95.85% (G:19.72% B:1.03%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
93.70% (G:6.40% B:0.50%) 
92.12% (G:12.77% B:0.60%) 
Opponent Winning Chances: 
6.30% (G:0.00% B:0.00%) 
7.88% (G:0.00% B:0.00%) 
Cubeless Equities 
+0.987 
+2.394 
Cubeful Equities 
No double:  +1.092  
Double/Take:  +2.116 (+1.024)  
Double/Pass:  +1.000 (0.092) 

Best Cube action: Too good to double / Pass 
Percentage of wrong take needed to make the double decision right: 8.2% 


61: Cannot Move 


1.  3ply  Cannot Move  eq: +1.002 
 Player: Opponent:  88.71% (G:0.99% B:0.04%) 11.29% (G:0.00% B:0.00%)  



21: 6/3 


1.  XG Roller++  6/3  eq: 1.000 
 Player: Opponent:  12.17% (G:0.00% B:0.00%) 87.83% (G:0.53% B:0.01%)  

2.  XG Roller++  6/4 3/2  eq: 1.001 (0.001) 
 Player: Opponent:  4.89% (G:0.00% B:0.00%) 95.11% (G:0.51% B:0.01%)  

3.  XG Roller++  3/1 2/1  eq: 1.006 (0.006) 
 Player: Opponent:  4.42% (G:0.00% B:0.00%) 95.58% (G:0.59% B:0.01%)  

4.  XG Roller++  12/10 3/2  eq: 1.009 (0.009) 
 Player: Opponent:  5.47% (G:0.00% B:0.00%) 94.53% (G:0.86% B:0.11%)  

5.  XG Roller++  4/3 4/2  eq: 1.020 (0.020) 
 Player: Opponent:  4.47% (G:0.00% B:0.00%) 95.53% (G:1.23% B:0.04%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
87.87% (G:0.55% B:0.01%) 
87.39% (G:1.18% B:0.09%) 
Opponent Winning Chances: 
12.13% (G:0.00% B:0.00%) 
12.61% (G:0.00% B:0.00%) 
Cubeless Equities 
+0.767 
+2.171 
Cubeful Equities 
No double:  +0.987 (0.013)  
Double/Take:  +1.726 (+0.726)  
Double/Pass:  +1.000 

Best Cube action: Double / Pass 


21: Cannot Move 


1.  3ply  Cannot Move  eq: +0.981 
 Player: Opponent:  84.09% (G:0.64% B:0.04%) 15.91% (G:0.00% B:0.00%)  



53: 12/4 


1.  XG Roller++  12/4  eq: 1.000 
 Player: Opponent:  14.86% (G:0.00% B:0.00%) 85.14% (G:0.01% B:0.00%)  

2.  XG Roller++  6/3 6/1  eq: 1.007 (0.007) 
 Player: Opponent:  8.46% (G:0.00% B:0.00%) 91.54% (G:1.53% B:0.02%)  

3.  3ply  12/7 4/1  eq: 1.101 (0.101) 
 Player: Opponent:  7.26% (G:0.00% B:0.00%) 92.74% (G:6.64% B:0.26%)  

4.  3ply  12/7 6/3  eq: 1.112 (0.112) 
 Player: Opponent:  9.07% (G:0.00% B:0.00%) 90.93% (G:7.54% B:0.26%)  

5.  3ply  12/9 6/1  eq: 1.138 (0.138) 
 Player: Opponent:  8.49% (G:0.00% B:0.00%) 91.51% (G:8.85% B:0.35%)  



Double/Pass 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
84.92% (G:0.01% B:0.00%) 
85.00% (G:0.02% B:0.00%) 
Opponent Winning Chances: 
15.08% (G:0.00% B:0.00%) 
15.00% (G:0.00% B:0.00%) 
Cubeless Equities 
+0.698 
+2.059 
Cubeful Equities 
No double:  +0.906 (0.094)  
Double/Take:  +1.529 (+0.529)  
Double/Pass:  +1.000 

Best Cube action: Double / Pass 


Wins 1pt. 



