{ "lemma_checks": [ { "chi2": 0.10627338584890728, "rhs": 2.247111286560351, "slack": 2.1408379007114435, "holds": true }, { "chi2": 0.22687466899989178, "rhs": 13.094553250569403, "slack": 12.86767858156951, "holds": true }, { "chi2": 0.0945902977862138, "rhs": 81.40024642226652, "slack": 81.30565612448031, "holds": true } ], "analytic_moments": { "2": { "exact": 14.551915228366852, "low_collision_p": 1.6010322185676817 }, "4": { "exact": 825.0050068497658, "low_collision_p": 3.8959759925469806 }, "8": { "exact": 187064.90854746103, "low_collision_p": 19.342813113834072 } }, "toy_results": [ { "mode": "none", "q": 2, "device": "cuda", "final_task": 0.0004928875132463872, "mean_overlap": 3.97625, "severe_overlap_ge3": 1.0, "moment_minus_1": 14.81 }, { "mode": "linear", "q": 2, "device": "cuda", "final_task": 0.13064005970954895, "mean_overlap": 1.1825, "severe_overlap_ge3": 0.05125, "moment_minus_1": 1.6625 }, { "mode": "qary", "q": 2, "device": "cuda", "final_task": 0.16629400849342346, "mean_overlap": 1.12125, "severe_overlap_ge3": 0.035, "moment_minus_1": 1.54 }, { "mode": "none", "q": 4, "device": "cuda", "final_task": 0.0004928875132463872, "mean_overlap": 3.97625, "severe_overlap_ge3": 1.0, "moment_minus_1": 250.44 }, { "mode": "linear", "q": 4, "device": "cuda", "final_task": 0.13064005970954895, "mean_overlap": 1.1825, "severe_overlap_ge3": 0.05125, "moment_minus_1": 8.9475 }, { "mode": "qary", "q": 4, "device": "cuda", "final_task": 0.3612664043903351, "mean_overlap": 1.11375, "severe_overlap_ge3": 0.0275, "moment_minus_1": 7.3125 }, { "mode": "none", "q": 8, "device": "cuda", "final_task": 0.0004928875132463872, "mean_overlap": 3.97625, "severe_overlap_ge3": 1.0, "moment_minus_1": 4009.88 }, { "mode": "linear", "q": 8, "device": "cuda", "final_task": 0.13064005970954895, "mean_overlap": 1.1825, "severe_overlap_ge3": 0.05125, "moment_minus_1": 50.9075 }, { "mode": "qary", "q": 8, "device": "cuda", "final_task": 0.4370282292366028, "mean_overlap": 1.19125, "severe_overlap_ge3": 0.04375, "moment_minus_1": 43.925 } ] }