{ "status": "PASS", "optimizer_used": false, "arithmetic": "standard-library integer/Fraction certification", "fair": { "status": "PASS", "models": 9, "certificates": 27, "all_non_timing_fields_match": true, "all_kl_and_head_constraints_certified": true, "all_three_to_four_round_separations_certified": true, "max_optimality_gap_rational": "727795397216073/1208925819614629174706176" }, "biased": { "status": "PASS", "models": 6, "certificates": 15, "all_non_timing_fields_match": true, "scope": "Fixed-mixture bias study; the recorded head-bound exception is retained." } }