circuit_i cycle_depth circuit_depth pure_probs sampled_probs e_u u_u m_u y x numerator denominator
0 0 1 3 [0.036611635, 0.21338831, 0.46338835, 0.2866116] [0.0418, 0.2077, 0.4609, 0.2896] 0.343750 0.25 0.342430 0.092430 0.093750 0.008665 0.008789
1 1 1 3 [0.12499999, 0.12499999, 0.021446602, 0.72855324] [0.1282, 0.1339, 0.0357, 0.7022] 0.562500 0.25 0.545118 0.295118 0.312500 0.092224 0.097656
2 2 1 3 [0.64016503, 0.109834954, 0.21338834, 0.03661165] [0.6128, 0.1192, 0.2255, 0.0425] 0.468750 0.25 0.455061 0.205061 0.218750 0.044857 0.047852
3 3 1 3 [0.12499999, 0.12499998, 0.62499994, 0.124999955] [0.1288, 0.128, 0.6086, 0.1346] 0.437500 0.25 0.429300 0.179300 0.187500 0.033619 0.035156
4 4 1 3 [0.1357233, 0.36427665, 0.010723308, 0.4892766] [0.1374, 0.3669, 0.0177, 0.478] 0.390625 0.25 0.386365 0.136366 0.140625 0.019176 0.019775