Nested Squares Dataset v8 Validation Report
====================================================
Dataset version: nested-squares-8.0.0
Total images checked: 3000
Total questions checked: 15000
Total mismatches found: 0

Level 2 balance: {'changing': 1500, 'constant': 1500}
Rotation modes split by Level 2: {'changing': {'fixed': 225, 'per_shape_independent': 1275}, 'constant': {'fixed': 225, 'per_shape_independent': 1275}}
Rotation-mode / Level-2 Cramer's V: 0.0000000000
Definitional whitelist (exactly two): ['factor_progression_direction', 'reduction_factor_span']
All features at V >= 0.10: {'factor_progression_direction': {'kind': 'categorical', 'cramers_v': 1.0, 'classification': 'definitional'}, 'reduction_factor_span': {'kind': 'numeric_deciles', 'cramers_v': 1.0, 'summary': {'count': 3000, 'min': 1.0000000220737515, 'p25': 1.0000007898408894, 'p50': 1.1750293326055983, 'p75': 1.411128745673125, 'p95': 1.4581608560054198, 'max': 1.4699462246337867}, 'classification': 'definitional'}}
Association filter exactly matches raw audit: YES
Leak audit (all stored scene features):
  canvas_height: V=0.00528330 (numeric_deciles)
  canvas_width: V=0.00736606 (numeric_deciles)
  center_drift_measured: V=0.01465364 (categorical)
  color_alternation: V=0.00000000 (categorical)
  containment_outcome: V=0.00000000 (categorical)
  cumulative_rotation: V=0.00000000 (numeric_deciles)
  difficulty_score: V=0.02047499 (numeric_deciles)
  extrapolation_reduction_factor: V=0.00000000 (numeric_deciles)
  factor_progression_direction: V=1.00000000 (categorical)
  gap_separation: V=0.00000000 (numeric_deciles)
  generation_attempt: V=0.04720952 (numeric_deciles)
  innermost_center_x: V=0.00906931 (numeric_deciles)
  innermost_center_y: V=0.00856525 (numeric_deciles)
  innermost_side_length: V=0.00333334 (numeric_deciles)
  level5_label: V=0.00000000 (categorical)
  line_width_class: V=0.00472587 (categorical)
  line_width_px: V=0.00559713 (numeric_deciles)
  matched_clearance_target_px: V=0.00000000 (numeric_deciles)
  minimum_adjacent_clear_background_px: V=0.01043785 (numeric_deciles)
  offset_requested_pre_containment: V=0.00000000 (categorical)
  outer_center_x: V=0.00906765 (numeric_deciles)
  outer_center_y: V=0.00856525 (numeric_deciles)
  outer_inner_size_ratio: V=0.00000000 (numeric_deciles)
  outer_rotation_angle: V=0.01064724 (numeric_deciles)
  outer_side_length: V=0.01333001 (numeric_deciles)
  reduction_factor_span: V=1.00000000 (numeric_deciles)
  rejections_containment: V=0.00000000 (numeric_deciles)
  rejections_drift_floor: V=0.00000000 (numeric_deciles)
  rejections_gap_margin: V=0.00000000 (numeric_deciles)
  rejections_level5_margin: V=0.00000000 (numeric_deciles)
  rejections_minimum_inner_size: V=0.00000000 (numeric_deciles)
  rejections_minimum_outline_clearance: V=0.04720952 (numeric_deciles)
  rejections_reduction_perceptibility: V=0.00000000 (numeric_deciles)
  rejections_rotation_wrap: V=0.00000000 (numeric_deciles)
  rotation_mode: V=0.00000000 (categorical)
  sampled_total_inner_fraction: V=0.00000000 (numeric_deciles)
  sampled_total_reduction_root: V=0.00000000 (numeric_deciles)
  shape_count: V=0.00000000 (categorical)
  size_axis_band: V=0.00000000 (categorical)
  stroke_palette: V=0.00391224 (categorical)
  target_cumulative_rotation: V=0.00000000 (numeric_deciles)

Changing-factor perceptibility threshold: 1.350
Changing-factor span distribution: {'count': 1500, 'min': 1.350055537060899, 'p25': 1.381269181622004, 'p50': 1.4111833016894266, 'p75': 1.4395381109645906, 'p95': 1.4647355185851525, 'max': 1.4699462246337867}
Outer/inner ratio vs Level 2 V: 0.00000000
Level 5 threshold: 12.000%
Level 5 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
Level 5 exclusion band: [0.096, 0.144]
Level 5 achievable extrapolated-fraction range: {'count': 3000, 'min': 0.09301146867206196, 'p25': 0.09400006976974648, 'p50': 0.12255233104332985, 'p75': 0.16000000281980112, 'p95': 0.16795188773550979, 'max': 0.16988374735920272}
Level 5 labels: {'no': 1500, 'yes': 1500}
Level 5 count correlation: 0.00000000
Minimum-clearance / Level-2 V: 0.01043785
Minimum-clearance distributions by Level 2: {'constant': {'count': 1500, 'min': 3.000101130340272, 'p25': 3.000369914257808, 'p50': 3.000595990528235, 'p75': 3.000818555072389, 'p95': 3.00100318249199, 'max': 3.0010889924584743}, 'changing': {'count': 1500, 'min': 3.000101130340272, 'p25': 3.000369914257808, 'p50': 3.000593510937822, 'p75': 3.000818758049021, 'p95': 3.00100318249199, 'max': 3.0010889924584743}}
PNG-recovered shape counts matching stored count: 3000/3000
Innermost size threshold: 15.0px
Clear-background threshold: 3.0px

offset_intended absent from annotations and flattened outputs: YES
Requested offsets contracted below 3%: 0

Full sampled parameter distributions:
  continuous canvas_height: {'count': 3000, 'min': 580.0, 'p25': 585.0, 'p50': 590.0, 'p75': 595.0, 'p95': 599.0, 'max': 600.0}
  continuous canvas_width: {'count': 3000, 'min': 580.0, 'p25': 585.0, 'p50': 590.0, 'p75': 595.0, 'p95': 599.0, 'max': 600.0}
  continuous cumulative_rotation_degrees: {'count': 3000, 'min': 0.0, 'p25': 19.0, 'p50': 39.0, 'p75': 59.0, 'p95': 75.0, 'max': 78.0}
  continuous difficulty_score: {'count': 3000, 'min': 0.1, 'p25': 0.35, 'p50': 0.425, 'p75': 0.5125, 'p95': 0.6, 'max': 0.6}
  continuous extrapolation_reduction_factor: {'count': 3000, 'min': 0.5522483967758121, 'p25': 0.6935093493538972, 'p50': 0.7691007981278142, 'p75': 0.81635055414647, 'p95': 0.8549243549950468, 'max': 0.8626727900964994}
  continuous generation_attempt: {'count': 3000, 'min': 0.0, 'p25': 0.0, 'p50': 0.0, 'p75': 0.0, 'p95': 0.0, 'max': 9.0}
  continuous innermost_center_x: {'count': 3000, 'min': 220.3244, 'p25': 290.6261, 'p50': 295.04274999999996, 'p75': 298.8554, 'p95': 304.422175, 'max': 371.0499}
  continuous innermost_center_y: {'count': 3000, 'min': 220.0537, 'p25': 291.0836, 'p50': 294.8641, 'p75': 299.2443, 'p95': 304.5864, 'max': 395.0563}
  continuous innermost_side_length: {'count': 3000, 'min': 46.825, 'p25': 56.5138, 'p50': 77.58385, 'p75': 90.39037499999999, 'p95': 109.76203499999998, 'max': 131.0191}
  continuous line_width_px: {'count': 3000, 'min': 0.75, 'p25': 0.9, 'p50': 1.56, 'p75': 1.78, 'p95': 1.95, 'max': 2.0}
  continuous matched_clearance_target_px: {'count': 3000, 'min': 3.0001005679558195, 'p25': 3.0003278137764733, 'p50': 3.00054729410188, 'p75': 3.000776504257586, 'p95': 3.0009579349355557, 'max': 3.000999802026071}
  continuous minimum_adjacent_clear_background_px: {'count': 3000, 'min': 3.000101130340272, 'p25': 3.000369914257808, 'p50': 3.000594413656636, 'p75': 3.000818624265123, 'p95': 3.00100318249199, 'max': 3.0010889924584743}
  continuous outer_center_x: {'count': 3000, 'min': 282.0836, 'p25': 290.7673, 'p50': 295.06485, 'p75': 298.8554, 'p95': 304.11933500000004, 'max': 307.7559}
  continuous outer_center_y: {'count': 3000, 'min': 282.0628, 'p25': 291.113, 'p50': 294.8743, 'p75': 299.2013, 'p95': 304.2866, 'max': 307.9381}
  continuous outer_inner_size_ratio: {'count': 3000, 'min': 3.7791499178525934, 'p25': 4.952571354535402, 'p50': 5.766137535752955, 'p75': 7.918352322695396, 'p95': 8.671943139991503, 'max': 8.820796232700653}
  continuous outer_rotation_angle: {'count': 3000, 'min': -17.9494, 'p25': -8.5188, 'p50': 0.4108, 'p75': 8.5479, 'p95': 15.9144, 'max': 17.9964}
  continuous outer_side_length: {'count': 3000, 'min': 410.1076, 'p25': 426.972625, 'p50': 440.7028, 'p75': 461.196025, 'p95': 488.10974, 'max': 504.1482}
  continuous reduction_factor_span: {'count': 3000, 'min': 1.0000000220737515, 'p25': 1.0000007898408894, 'p50': 1.1750293326055983, 'p75': 1.411128745673125, 'p95': 1.4581608560054198, 'max': 1.4699462246337867}
  continuous sampled_total_inner_fraction: {'count': 3000, 'min': 0.11336851948416225, 'p25': 0.1262888725220047, 'p50': 0.17345835606061172, 'p75': 0.20191533866063116, 'p95': 0.24321770408364302, 'max': 0.2646097029254631}
  continuous sampled_total_reduction_root: {'count': 3000, 'min': 0.5522488268797281, 'p25': 0.6935097976033888, 'p50': 0.7691010988799167, 'p75': 0.8163506716712188, 'p95': 0.8549251869395291, 'max': 0.8626725525077547}
  categorical center_drift: {'False': 1943, 'True': 1057}
  categorical color_alternation: {'False': 2002, 'True': 998}
  categorical factor_progression_direction: {'changing': 1500, 'constant': 1500}
  categorical level5_label: {'no': 1500, 'yes': 1500}
  categorical offset_requested_pre_containment: {'False': 2950, 'True': 50}
  categorical reduction_mode: {'changing': 1500, 'constant': 1500}
  categorical rotation_mode: {'fixed': 450, 'per_shape_independent': 2550}
  categorical shape_count: {'10': 332, '11': 332, '12': 344, '4': 332, '5': 332, '6': 332, '7': 332, '8': 332, '9': 332}
  categorical size_axis_band: {'high': 1500, 'low': 1500}
  categorical stroke_colors_used: {"('#16697A', '#2C2C2A')": 369, "('#263238', '#8A4F7D')": 285, "('#2C2C2A',)": 2002, "('#30343F', '#8A6D1D')": 344}

Guard injection tests: PASS
  gap_margin: {'violating': {'metric': 0.0, 'accepted': False}, 'boundary': {'metric': 0.05, 'accepted': True}}
  reduction_perceptibility: {'violating': {'metric': 1.3490000000000002, 'accepted': False}, 'boundary': {'metric': 1.35, 'accepted': True}}
  level5_margin: {'violating': {'metric': 0.12, 'accepted': False}, 'lower_boundary': {'metric': 0.096, 'accepted': True}, 'upper_boundary': {'metric': 0.144, 'accepted': True}}
  containment: {'violating': {'inner_to_outer_side_ratio': 1.01, 'accepted': False}, 'boundary': {'inner_to_outer_side_ratio': 1.0, 'accepted': True}}
  minimum_inner_size: {'violating': {'metric_px': 14.99, 'accepted': False}, 'boundary': {'metric_px': 15.0, 'accepted': True}}
  minimum_outline_clearance: {'violating': {'metric_px': 2.99, 'accepted': False}, 'boundary': {'metric_px': 3.0, 'accepted': True}}
  rotation_wrap: PASS {'lower': 12.0, 'upper': 78.0}

Level 4 theoretical baseline: 0.194030
Level 4 observed max constant capture: 0.194510
All rejection cause counts: {'containment': 0, 'drift_floor': 0, 'gap_margin': 0, 'level5_margin': 0, 'minimum_inner_size': 0, 'minimum_outline_clearance': 136, 'reduction_perceptibility': 0, 'rotation_wrap': 0}

Issues:
  None

Summary: PASS