{ "math_checks": [ { "name": "Fano_7", "v": 7, "b": 7, "k": 3, "r": 3, "lambda": 1, "row_min": 3, "row_max": 3, "pair_min": 1, "pair_max": 1, "pair_variance": 0.0, "mmT_identity_maxerr": 0, "predicted_z_norm_sq": 4, "observed_z_norm_sq_min": 4, "observed_z_norm_sq_max": 4, "z_norm_sq_mean": 4.0 }, { "name": "projective_13", "v": 13, "b": 13, "k": 4, "r": 4, "lambda": 1, "row_min": 4, "row_max": 4, "pair_min": 1, "pair_max": 1, "pair_variance": 0.0, "mmT_identity_maxerr": 0, "predicted_z_norm_sq": 6, "observed_z_norm_sq_min": 6, "observed_z_norm_sq_max": 6, "z_norm_sq_mean": 6.0 } ], "scaling_sweep": [ { "name": "Fano copies=1", "v": 7, "b": 7, "k": 3, "r": 3, "lambda": 1, "row_min": 3, "row_max": 3, "pair_min": 1, "pair_max": 1, "pair_variance": 0.0, "mmT_identity_maxerr": 0, "predicted_z_norm_sq": 4, "observed_z_norm_sq_min": 4, "observed_z_norm_sq_max": 4, "z_norm_sq_mean": 4.0, "predicted_r": 3, "predicted_lambda": 1 }, { "name": "Fano copies=2", "v": 7, "b": 14, "k": 3, "r": 6, "lambda": 2, "row_min": 6, "row_max": 6, "pair_min": 2, "pair_max": 2, "pair_variance": 0.0, "mmT_identity_maxerr": 0, "predicted_z_norm_sq": 8, "observed_z_norm_sq_min": 8, "observed_z_norm_sq_max": 8, "z_norm_sq_mean": 8.0, "predicted_r": 6, "predicted_lambda": 2 }, { "name": "Fano copies=4", "v": 7, "b": 28, "k": 3, "r": 12, "lambda": 4, "row_min": 12, "row_max": 12, "pair_min": 4, "pair_max": 4, "pair_variance": 0.0, "mmT_identity_maxerr": 0, "predicted_z_norm_sq": 16, "observed_z_norm_sq_min": 16, "observed_z_norm_sq_max": 16, "z_norm_sq_mean": 16.0, "predicted_r": 12, "predicted_lambda": 4 }, { "name": "Fano copies=8", "v": 7, "b": 56, "k": 3, "r": 24, "lambda": 8, "row_min": 24, "row_max": 24, "pair_min": 8, "pair_max": 8, "pair_variance": 0.0, "mmT_identity_maxerr": 0, "predicted_z_norm_sq": 32, "observed_z_norm_sq_min": 32, "observed_z_norm_sq_max": 32, "z_norm_sq_mean": 32.0, "predicted_r": 24, "predicted_lambda": 8 } ], "benchmark": { "device": "cuda", "results": { "7": { "dense": { "median_ms": 2.3050119998515584, "attention_score_flops": 3136, "pair_coverage_variance": 0.0, "row_degree_variance": 0.0 }, "contiguous": { "median_ms": 14.091775999986567, "attention_score_flops": 4032, "pair_coverage_variance": 0.6666666666666666, "row_degree_variance": 0.0 }, "random": { "median_ms": 15.281822998076677, "attention_score_flops": 4032, "pair_coverage_variance": 0.9523809523809523, "row_degree_variance": 2.0 }, "design": { "median_ms": 15.879814003710635, "attention_score_flops": 4032, "pair_coverage_variance": 0.0, "row_degree_variance": 0.0 } }, "13": { "dense": { "median_ms": 0.2984370003105141, "attention_score_flops": 10816, "pair_coverage_variance": 0.0, "row_degree_variance": 0.0 }, "contiguous": { "median_ms": 30.29705699736951, "attention_score_flops": 13312, "pair_coverage_variance": 1.3333333333333333, "row_degree_variance": 0.0 }, "random": { "median_ms": 18.883881995861884, "attention_score_flops": 13312, "pair_coverage_variance": 0.7692307692307693, "row_degree_variance": 2.3076923076923075 }, "design": { "median_ms": 22.085951997723896, "attention_score_flops": 13312, "pair_coverage_variance": 0.0, "row_degree_variance": 0.0 } } } } }