{ "accepted_gap_distribution": { "count": 54, "max": 0.2202289929964393, "min": 0.027759079940735933, "p25": 0.07436939552231527, "p50": 0.09350569554974493, "p75": 0.13962052959982968, "p95": 0.20020400214193423 }, "changing_factor_span_distribution": { "count": 1500, "max": 1.469830067978409, "min": 1.3500662908267302, "p25": 1.3802176340296488, "p50": 1.4098842969347922, "p75": 1.43876117464662, "p95": 1.4628171814090507 }, "changing_factor_span_threshold": 1.35, "dataset_version": "nested-hexagons-8.0.0", "factor_progression_directions": { "changing": 1500, "constant": 1500 }, "full_sampled_parameter_distributions": { "categorical": { "center_drift": { "False": 496, "True": 2504 }, "color_alternation": { "False": 2138, "True": 862 }, "factor_progression_direction": { "changing": 1500, "constant": 1500 }, "level5_label": { "no": 1500, "yes": 1500 }, "offset_requested_pre_containment": { "False": 2946, "True": 54 }, "reduction_mode": { "changing": 1500, "constant": 1500 }, "rotation_mode": { "fixed": 450, "per_shape_independent": 2550 }, "shape_count": { "10": 332, "11": 332, "12": 344, "4": 332, "5": 332, "6": 332, "7": 332, "8": 332, "9": 332 }, "size_axis_band": { "high": 1500, "low": 1500 }, "stroke_colors_used": { "('#16697A', '#2C2C2A')": 306, "('#263238', '#8A4F7D')": 260, "('#2C2C2A',)": 2138, "('#30343F', '#8A6D1D')": 296 } }, "continuous": { "canvas_height": { "count": 3000, "max": 600.0, "min": 580.0, "p25": 585.0, "p50": 590.0, "p75": 596.0, "p95": 600.0 }, "canvas_width": { "count": 3000, "max": 600.0, "min": 580.0, "p25": 585.0, "p50": 590.0, "p75": 595.0, "p95": 599.0 }, "cumulative_rotation_degrees": { "count": 3000, "max": 50.0, "min": 0.0, "p25": 14.0, "p50": 26.0, "p75": 38.0, "p95": 48.0 }, "difficulty_score": { "count": 3000, "max": 0.7, "min": 0.1, "p25": 0.3938, "p50": 0.4812, "p75": 0.5687, "p95": 0.6125 }, "extrapolation_reduction_factor": { "count": 3000, "max": 0.8626725311690739, "min": 0.5522485434536333, "p25": 0.6935099613099337, "p50": 0.7691010211024871, "p75": 0.8163502923005029, "p95": 0.8549255460826235 }, "generation_attempt": { "count": 3000, "max": 1.0, "min": 0.0, "p25": 0.0, "p50": 0.0, "p75": 0.0, "p95": 0.0 }, "innermost_center_x": { "count": 3000, "max": 370.2171, "min": 235.1895, "p25": 290.9143, "p50": 295.17245, "p75": 298.897175, "p95": 304.33777999999995 }, "innermost_center_y": { "count": 3000, "max": 369.8917, "min": 223.6976, "p25": 291.2014, "p50": 295.48294999999996, "p75": 299.62217499999997, "p95": 304.87924 }, "innermost_side_length": { "count": 3000, "max": 70.7976, "min": 29.3252, "p25": 33.156774999999996, "p50": 45.6545, "p75": 53.097875, "p95": 63.910125 }, "line_width_px": { "count": 3000, "max": 2.0, "min": 0.75, "p25": 0.9, "p50": 1.57, "p75": 1.78, "p95": 1.95 }, "matched_clearance_target_px": { "count": 3000, "max": 3.0009992730987007, "min": 3.000100075624495, "p25": 3.0003205460019498, "p50": 3.000546691812106, "p75": 3.0007651317233717, "p95": 3.000942941940058 }, "minimum_adjacent_clear_background_px": { "count": 3000, "max": 3.0010814376652433, "min": 3.0001118934066318, "p25": 3.000374013882757, "p50": 3.0005944371186484, "p75": 3.000816283875488, "p95": 3.0009935665749388 }, "outer_center_x": { "count": 3000, "max": 307.7319, "min": 282.2035, "p25": 290.98524999999995, "p50": 295.17325, "p75": 298.83665, "p95": 304.14905999999996 }, "outer_center_y": { "count": 3000, "max": 307.4109, "min": 282.1907, "p25": 291.22207499999996, "p50": 295.48294999999996, "p75": 299.52295000000004, "p95": 304.5011 }, "outer_inner_size_ratio": { "count": 3000, "max": 8.820785989576052, "min": 3.7791532375150423, "p25": 4.952574552535424, "p50": 5.766133781610599, "p75": 7.918359512680759, "p95": 8.6719351893855 }, "outer_rotation_angle": { "count": 3000, "max": 17.971, "min": -17.9421, "p25": -9.17815, "p50": 0.30495, "p75": 9.128425, "p95": 15.98026 }, "outer_side_length": { "count": 3000, "max": 267.9842, "min": 258.0019, "p25": 260.24402499999997, "p50": 262.52445, "p75": 264.966225, "p95": 267.05539000000005 }, "reduction_factor_span": { "count": 3000, "max": 1.469830067978409, "min": 1.000000090694639, "p25": 1.0000013951005957, "p50": 1.1750355518762032, "p75": 1.4098735344901754, "p95": 1.4573660874208867 }, "sampled_total_inner_fraction": { "count": 3000, "max": 0.2646097029254631, "min": 0.11336851948416225, "p25": 0.1262888725220047, "p50": 0.17345835606061172, "p75": 0.20191533866063116, "p95": 0.24321770408364302 }, "sampled_total_reduction_root": { "count": 3000, "max": 0.8626725525077547, "min": 0.5522488268797281, "p25": 0.6935097976033888, "p50": 0.7691010988799167, "p75": 0.8163506716712188, "p95": 0.8549251869395291 } } }, "gap_threshold": 0.012, "guard_injection_tests": { "containment": { "boundary": { "accepted": true, "inner_to_outer_side_ratio": 1.0 }, "violating": { "accepted": false, "inner_to_outer_side_ratio": 1.01 } }, "gap_margin": { "boundary": { "accepted": true, "metric": 0.012000000000000144 }, "violating": { "accepted": false, "metric": 1.4586028080420515e-16 } }, "level5_margin": { "lower_boundary": { "accepted": true, "metric": 0.096 }, "upper_boundary": { "accepted": true, "metric": 0.144 }, "violating": { "accepted": false, "metric": 0.12 } }, "minimum_inner_size": { "boundary": { "accepted": true, "metric_px": 15.0 }, "violating": { "accepted": false, "metric_px": 14.99 } }, "minimum_outline_clearance": { "boundary": { "accepted": true, "metric_px": 3.0 }, "violating": { "accepted": false, "metric_px": 2.99 } }, "pass": true, "reduction_perceptibility": { "boundary": { "accepted": true, "metric": 1.35 }, "violating": { "accepted": false, "metric": 1.3490000000000002 } } }, "images_checked": 3000, "issues": [], "leak_audit": { "all_features_at_or_above_threshold": { "factor_progression_direction": { "classification": "definitional", "cramers_v": 1.0, "kind": "categorical" }, "reduction_factor_span": { "classification": "definitional", "cramers_v": 1.0, "kind": "numeric_deciles", "summary": { "count": 3000, "max": 1.469830067978409, "min": 1.000000090694639, "p25": 1.0000013951005957, "p50": 1.1750355518762032, "p75": 1.4098735344901754, "p95": 1.4573660874208867 } } }, "definitional_features": [ "factor_progression_direction", "reduction_factor_span" ], "excluded_identifier_fields": [ "id", "image_path", "seed", "source_index", "parameter_seed", "paired_nuisance_rank", "size_axis_pair_rank", "question_id" ], "features": { "canvas_height": { "cramers_v": 0.0, "kind": "numeric_deciles", "summary": { "count": 3000, "max": 600.0, "min": 580.0, "p25": 585.0, "p50": 590.0, "p75": 596.0, "p95": 600.0 } }, "canvas_width": { "cramers_v": 0.0, "kind": "numeric_deciles", "summary": { "count": 3000, "max": 600.0, "min": 580.0, "p25": 585.0, "p50": 590.0, "p75": 595.0, "p95": 599.0 } }, "center_drift_measured": { "cramers_v": 0.0, "kind": "categorical" }, "color_alternation": { "cramers_v": 0.0, "kind": "categorical" }, "containment_outcome": { "cramers_v": 0.0, "kind": "categorical" }, "cumulative_rotation": { "cramers_v": 0.0, "kind": "numeric_deciles", "summary": { "count": 3000, "max": 50.0, "min": 0.0, "p25": 14.0, "p50": 26.0, "p75": 38.0, "p95": 48.0 } }, "difficulty_score": { "cramers_v": 0.0, "kind": "numeric_deciles", "summary": { "count": 3000, "max": 0.7, "min": 0.1, "p25": 0.3938, "p50": 0.4812, "p75": 0.5687, "p95": 0.6125 } }, "extrapolation_reduction_factor": { "cramers_v": 0.0, "kind": "numeric_deciles", "summary": { "count": 3000, "max": 0.8626725311690739, "min": 0.5522485434536333, "p25": 0.6935099613099337, "p50": 0.7691010211024871, "p75": 0.8163502923005029, "p95": 0.8549255460826235 } }, "factor_progression_direction": { "cramers_v": 1.0, "kind": "categorical" }, "gap_separation": { "cramers_v": 0.0, "kind": "numeric_deciles", "summary": { "count": 3000, "max": 0.2202289929964393, "min": 0.0, "p25": 0.0, "p50": 0.0, "p75": 0.0, "p95": 0.0 } }, "generation_attempt": { "cramers_v": 0.0, "kind": "numeric_deciles", "summary": { "count": 3000, "max": 1.0, "min": 0.0, "p25": 0.0, "p50": 0.0, "p75": 0.0, "p95": 0.0 } }, "innermost_center_x": { "cramers_v": 0.0, "kind": "numeric_deciles", "summary": { "count": 3000, "max": 370.2171, "min": 235.1895, "p25": 290.9143, "p50": 295.17245, "p75": 298.897175, "p95": 304.33777999999995 } }, "innermost_center_y": { "cramers_v": 0.0, "kind": "numeric_deciles", "summary": { "count": 3000, "max": 369.8917, "min": 223.6976, "p25": 291.2014, "p50": 295.48294999999996, "p75": 299.62217499999997, "p95": 304.87924 } }, "innermost_side_length": { "cramers_v": 0.0, "kind": "numeric_deciles", "summary": { "count": 3000, "max": 70.7976, "min": 29.3252, "p25": 33.156774999999996, "p50": 45.6545, "p75": 53.097875, "p95": 63.910125 } }, "level5_label": { "cramers_v": 0.0, "kind": "categorical" }, "line_width_class": { "cramers_v": 0.0, "kind": "categorical" }, "line_width_px": { "cramers_v": 0.0, "kind": "numeric_deciles", "summary": { "count": 3000, "max": 2.0, "min": 0.75, "p25": 0.9, "p50": 1.57, "p75": 1.78, "p95": 1.95 } }, "matched_clearance_target_px": { "cramers_v": 0.0, "kind": "numeric_deciles", "summary": { "count": 3000, "max": 3.0009992730987007, "min": 3.000100075624495, "p25": 3.0003205460019498, "p50": 3.000546691812106, "p75": 3.0007651317233717, "p95": 3.000942941940058 } }, "minimum_adjacent_clear_background_px": { "cramers_v": 0.0029814322518134876, "kind": "numeric_deciles", "summary": { "count": 3000, "max": 3.0010814376652433, "min": 3.0001118934066318, "p25": 3.000374013882757, "p50": 3.0005944371186484, "p75": 3.000816283875488, "p95": 3.0009935665749388 } }, "offset_requested_pre_containment": { "cramers_v": 0.0, "kind": "categorical" }, "outer_center_x": { "cramers_v": 0.0, "kind": "numeric_deciles", "summary": { "count": 3000, "max": 307.7319, "min": 282.2035, "p25": 290.98524999999995, "p50": 295.17325, "p75": 298.83665, "p95": 304.14905999999996 } }, "outer_center_y": { "cramers_v": 0.0, "kind": "numeric_deciles", "summary": { "count": 3000, "max": 307.4109, "min": 282.1907, "p25": 291.22207499999996, "p50": 295.48294999999996, "p75": 299.52295000000004, "p95": 304.5011 } }, "outer_inner_size_ratio": { "cramers_v": 0.0, "kind": "numeric_deciles", "summary": { "count": 3000, "max": 8.820785989576052, "min": 3.7791532375150423, "p25": 4.952574552535424, "p50": 5.766133781610599, "p75": 7.918359512680759, "p95": 8.6719351893855 } }, "outer_rotation_angle": { "cramers_v": 0.0, "kind": "numeric_deciles", "summary": { "count": 3000, "max": 17.971, "min": -17.9421, "p25": -9.17815, "p50": 0.30495, "p75": 9.128425, "p95": 15.98026 } }, "outer_side_length": { "cramers_v": 0.0, "kind": "numeric_deciles", "summary": { "count": 3000, "max": 267.9842, "min": 258.0019, "p25": 260.24402499999997, "p50": 262.52445, "p75": 264.966225, "p95": 267.05539000000005 } }, "reduction_factor_span": { "cramers_v": 1.0, "kind": "numeric_deciles", "summary": { "count": 3000, "max": 1.469830067978409, "min": 1.000000090694639, "p25": 1.0000013951005957, "p50": 1.1750355518762032, "p75": 1.4098735344901754, "p95": 1.4573660874208867 } }, "rejections_containment": { "cramers_v": 0.0, "kind": "numeric_deciles", "summary": { "count": 3000, "max": 0.0, "min": 0.0, "p25": 0.0, "p50": 0.0, "p75": 0.0, "p95": 0.0 } }, "rejections_drift_floor": { "cramers_v": 0.0, "kind": "numeric_deciles", "summary": { "count": 3000, "max": 0.0, "min": 0.0, "p25": 0.0, "p50": 0.0, "p75": 0.0, "p95": 0.0 } }, "rejections_gap_margin": { "cramers_v": 0.0, "kind": "numeric_deciles", "summary": { "count": 3000, "max": 0.0, "min": 0.0, "p25": 0.0, "p50": 0.0, "p75": 0.0, "p95": 0.0 } }, "rejections_level5_margin": { "cramers_v": 0.0, "kind": "numeric_deciles", "summary": { "count": 3000, "max": 0.0, "min": 0.0, "p25": 0.0, "p50": 0.0, "p75": 0.0, "p95": 0.0 } }, "rejections_minimum_inner_size": { "cramers_v": 0.0, "kind": "numeric_deciles", "summary": { "count": 3000, "max": 0.0, "min": 0.0, "p25": 0.0, "p50": 0.0, "p75": 0.0, "p95": 0.0 } }, "rejections_minimum_outline_clearance": { "cramers_v": 0.0, "kind": "numeric_deciles", "summary": { "count": 3000, "max": 1.0, "min": 0.0, "p25": 0.0, "p50": 0.0, "p75": 0.0, "p95": 0.0 } }, "rejections_reduction_perceptibility": { "cramers_v": 0.0, "kind": "numeric_deciles", "summary": { "count": 3000, "max": 0.0, "min": 0.0, "p25": 0.0, "p50": 0.0, "p75": 0.0, "p95": 0.0 } }, "rejections_rotation_wrap": { "cramers_v": 0.0, "kind": "numeric_deciles", "summary": { "count": 3000, "max": 0.0, "min": 0.0, "p25": 0.0, "p50": 0.0, "p75": 0.0, "p95": 0.0 } }, "rotation_mode": { "cramers_v": 0.0, "kind": "categorical" }, "sampled_total_inner_fraction": { "cramers_v": 0.0, "kind": "numeric_deciles", "summary": { "count": 3000, "max": 0.2646097029254631, "min": 0.11336851948416225, "p25": 0.1262888725220047, "p50": 0.17345835606061172, "p75": 0.20191533866063116, "p95": 0.24321770408364302 } }, "sampled_total_reduction_root": { "cramers_v": 0.0, "kind": "numeric_deciles", "summary": { "count": 3000, "max": 0.8626725525077547, "min": 0.5522488268797281, "p25": 0.6935097976033888, "p50": 0.7691010988799167, "p75": 0.8163506716712188, "p95": 0.8549251869395291 } }, "shape_count": { "cramers_v": 0.0, "kind": "categorical" }, "size_axis_band": { "cramers_v": 0.0, "kind": "categorical" }, "stroke_palette": { "cramers_v": 0.0, "kind": "categorical" }, "target_cumulative_rotation": { "cramers_v": 0.0, "kind": "numeric_deciles", "summary": { "count": 3000, "max": 50.0, "min": 0.0, "p25": 14.0, "p50": 26.0, "p75": 38.0, "p95": 48.0 } } }, "filter_matches_raw_audit": true, "nontrivial_nuisance_associations": {}, "threshold": 0.1 }, "level2_distribution": { "changing": 1500, "constant": 1500 }, "level4_max_constant_answer_capture": { "answer": 25, "captured": 686, "share": 0.2690196078431373, "total": 2550 }, "level4_theoretical_uniform_baseline": 0.2682926829268293, "level5_achievable_extrapolated_fraction": { "count": 3000, "max": 0.16988371437180014, "min": 0.09301175487254436, "p25": 0.09399995226804102, "p50": 0.12255249789639439, "p75": 0.15999995383010174, "p95": 0.16795187823302646 }, "level5_count_correlation": 0.0, "level5_distribution": { "no": 1500, "yes": 1500 }, "level5_exclusion_band": [ 0.096, 0.144 ], "level5_threshold": 0.12, "level5_threshold_derivation": "v7 medians motivated an upward move; 12% is the lowest shared rounded threshold whose 9.6% lower guard is feasible for 10-12 triangles under both standing visibility floors", "minimum_clearance_distribution_by_level2": { "changing": { "count": 1500, "max": 3.0010814376652433, "min": 3.0001118934066318, "p25": 3.0003742536053157, "p50": 3.0005942696052457, "p75": 3.000816283875488, "p95": 3.0009935665749388 }, "constant": { "count": 1500, "max": 3.0010814376652433, "min": 3.0001118934066318, "p25": 3.000373887692112, "p50": 3.000594674074793, "p75": 3.000816283875488, "p95": 3.0009935665749388 } }, "minimum_clearance_level2_cramers_v": 0.0029814322518134876, "mismatches": 0, "offset_field_absent_from_flattened_outputs": true, "offset_requested_contracted_below_3_percent": 0, "outer_inner_size_ratio_level2_cramers_v": 0.0, "png_recovered_shape_count_matches": 3000, "questions_checked": 15000, "rejections_by_constraint": { "containment": 0, "drift_floor": 0, "gap_margin": 0, "level5_margin": 0, "minimum_inner_size": 0, "minimum_outline_clearance": 2, "reduction_perceptibility": 0, "rotation_wrap": 0 }, "rotation_mode_by_level2": { "changing": { "fixed": 225, "per_shape_independent": 1275 }, "constant": { "fixed": 225, "per_shape_independent": 1275 } }, "rotation_mode_level2_cramers_v": 0.0, "rotation_modes": { "fixed": 450, "per_shape_independent": 2550 }, "triangle_level4_capture_above_0_195": false, "unique_rejected_candidates": 2, "wrap_guard_injection_test": { "pass": true, "probes": { "above_upper": { "accepted": false, "delta": 51.0 }, "below_lower": { "accepted": false, "delta": 9.0 }, "lower_boundary": { "accepted": true, "delta": 10.0 }, "upper_boundary": { "accepted": true, "delta": 50.0 } }, "thresholds": { "lower": 10.0, "upper": 50.0 } } }