100,000 cubes optimally solved
Submitted by kociemba on Fri, 01/23/2009 - 15:24.
Using my brandnew Core i7 920 CPU machine (Vista 64 bit with 6 GB of RAM) I solved 100,000 random cubes optimally with a rate of about 4-5 cubes / minute. So the computation took less than two weeks. I got the following results:
14f*: 18 15f*: 197 16f*: 2710 17f*: 26673 18f*: 67099 19f*: 3303No 20f* cube was encountered. According to Toms results this indeed would be very unlikely and for 100000 cubes the probability should be less than 10-6. The 95% confidence interval for the probability of 18f* is about 0.671 ±0.003, for 17f* 0.267 ±0.003 for 19f* 0.033 ±0.001 and for 16f* 0.027 ±0.001. With my new machine it should be possible to implement a fast coset solver and I would like to compute more accurate estimations for the probability of 20f* for random cubes.