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FormulaCascade_Benchmark_eval_200/T1_FRONTIER/internal/FCB-00423/audit.json

@@ -0,0 +1,545 @@
+{
+  "gate": {
+    "pre_nl_gate": {
+      "gate_label": "GATE_PASS",
+      "gate_pass": true,
+      "hard_fails": 0,
+      "warns": 0,
+      "checks": [
+        {
+          "check": "final_target_gate",
+          "pass": true,
+          "detail": "final_target has 12 cells"
+        },
+        {
+          "check": "header_grounding",
+          "pass": true,
+          "severity": "pass",
+          "detail": "1/1 final regions have column_header"
+        },
+        {
+          "check": "mask_consistency",
+          "pass": true,
+          "detail": "mask_last=54620B, src=77837B"
+        },
+        {
+          "check": "dirty_family",
+          "pass": true,
+          "detail": "0 dirty cells"
+        },
+        {
+          "check": "ratio_gate",
+          "pass": true,
+          "detail": "ratio=13.1 (total=157, final=12) [WARN: high mask ratio]"
+        },
+        {
+          "check": "dedup_gate",
+          "pass": true,
+          "detail": "0 duplicate cells across layers"
+        },
+        {
+          "check": "gt_uniqueness",
+          "pass": true,
+          "detail": "43 unique values across 157 cells"
+        },
+        {
+          "check": "tail_artifact",
+          "pass": true,
+          "detail": "0 bad values"
+        },
+        {
+          "check": "unrecoverable_leaf",
+          "pass": true,
+          "detail": "clean",
+          "hidden_const_cells": []
+        },
+        {
+          "check": "adjacent_column_leak",
+          "pass": true,
+          "detail": "leaked: Rep A!C→D(12/20), Rep A!E→D(13/20), Rep A!E→F(12/20), Rep A!G→F(13/20), Rep A!G→H(10/20)"
+        },
+        {
+          "check": "header_name_accuracy",
+          "pass": true,
+          "detail": "clean"
+        },
+        {
+          "check": "duplicate_lookup_tie_break",
+          "pass": true,
+          "severity": null,
+          "detail": "120 lookups"
+        },
+        {
+          "check": "src_chain_integrity",
+          "pass": true,
+          "severity": "ok",
+          "detail": "clean",
+          "sub_checks": {
+            "error_cells": {
+              "pass": true,
+              "count": 0,
+              "cells": []
+            },
+            "external_refs": {
+              "pass": true,
+              "count": 0,
+              "cells": []
+            },
+            "volatile_funcs": {
+              "pass": true,
+              "count": 0,
+              "cells": []
+            },
+            "missing_sheets": {
+              "pass": true,
+              "count": 0,
+              "sheets": []
+            },
+            "circular_refs": {
+              "pass": true,
+              "cycle_cells": []
+            }
+          }
+        },
+        {
+          "check": "uniqueness_deep",
+          "pass": true,
+          "severity": "ok",
+          "detail": "clean"
+        }
+      ]
+    },
+    "post_nl_validate": {
+      "validate_label": "SOFT_WARN",
+      "validate_pass": true,
+      "hard_fails": 0,
+      "soft_warns": 2,
+      "checks": [
+        {
+          "check": "cell_range_match",
+          "pass": true,
+          "detail": "contract=85, prompt=12, missing=0",
+          "missing_ranges": [],
+          "severity": "OK"
+        },
+        {
+          "check": "cell_count_match",
+          "pass": true,
+          "detail": "no explicit total found; skipping (natural format)",
+          "severity": "OK"
+        },
+        {
+          "check": "step_count_match",
+          "pass": true,
+          "detail": "contract=3, no explicit steps found (v5 natural format)",
+          "severity": "OK"
+        },
+        {
+          "check": "sheet_name_match",
+          "pass": true,
+          "detail": "contract=['Rep A'], missing=[]",
+          "severity": "OK"
+        },
+        {
+          "check": "no_formula_leak",
+          "pass": true,
+          "detail": "0 formula leaks",
+          "severity": "OK"
+        },
+        {
+          "check": "no_value_leak",
+          "pass": true,
+          "detail": "0 value leaks out of 12 GT cells",
+          "severity": "OK"
+        },
+        {
+          "check": "final_target_first",
+          "pass": true,
+          "detail": "no explicit final target marker (natural format)",
+          "severity": "OK"
+        },
+        {
+          "check": "output_format",
+          "pass": true,
+          "detail": "output format found",
+          "severity": "OK"
+        },
+        {
+          "check": "header_in_prompt",
+          "pass": true,
+          "detail": "no column headers found in prompt",
+          "severity": "OK"
+        },
+        {
+          "check": "hint_specificity",
+          "pass": true,
+          "detail": "clean",
+          "severity": "OK"
+        },
+        {
+          "check": "evidence_scope",
+          "pass": false,
+          "detail": "referenced=1 mentioned=0 missing=1 [Data Dump]",
+          "severity": "SOFT_WARN"
+        },
+        {
+          "check": "exemplar_consistency",
+          "pass": true,
+          "severity": "OK",
+          "detail": "checked 7 col groups; CONFLICTS: Rep A!N6: visible='=IF(N5=0,0,(N5/N4))' vs GT pattern='=AVERAGE(B#,D#,F#,H#,J#,L#)'; Rep A!N9: visible='=IF(N8=0,0,(N8/N7))' vs GT pattern='=AVERAGE(B#,D#,F#,H#,J#,L#)'"
+        },
+        {
+          "check": "nl_gt_operation_consistency",
+          "pass": false,
+          "detail": "GT funcs: ['AVERAGE', 'CELL', 'FIND', 'IF', 'INDEX', 'MATCH', 'MID', 'SUM']; MISMATCHES: GT uses MATCH but NL doesn't mention any of: find, match, position; GT uses INDEX but NL doesn't mention any of: find, index, look up, lookup",
+          "severity": "SOFT_WARN"
+        },
+        {
+          "check": "unmatched_default_rule",
+          "pass": true,
+          "detail": "no default-rule phrase found in NL",
+          "severity": "OK"
+        },
+        {
+          "check": "volatile_function_freeze",
+          "pass": true,
+          "detail": "volatile_cells=0",
+          "severity": "OK"
+        },
+        {
+          "check": "direct_answer_leakage",
+          "pass": true,
+          "detail": "1 leaks out of 157 GT cells (1%); examples: Rep A!B1=Rep A",
+          "severity": "OK"
+        }
+      ]
+    },
+    "pre_nl_local": {
+      "local_total": 60,
+      "local_label": "PENDING_NL",
+      "hard_fail_flags": [],
+      "warnings": [
+        "nl_missing"
+      ],
+      "local_subscores": {
+        "family_clean": 25,
+        "target_integrity": 15,
+        "taxonomy": 10,
+        "semantic_signal": 10,
+        "nl_schema": 0,
+        "target_alignment": 0,
+        "business_specificity": 0,
+        "nl_risk": 0
+      }
+    }
+  },
+  "verify": {
+    "uniqueness": {
+      "total_gt_cells": 157,
+      "total_non_none": 157,
+      "block_reasons": [],
+      "warnings": [
+        "mixed_gt_types:{'float': 24, 'int': 104, 'str': 29}"
+      ],
+      "checks": {
+        "rank_tie_risk": {
+          "rank_cells": 0,
+          "tie_issues": 0,
+          "details": []
+        },
+        "trivial_gt": {
+          "issues": []
+        },
+        "gt_type_consistency": {
+          "types": {
+            "float": 24,
+            "int": 104,
+            "str": 29
+          },
+          "mixed": true
+        },
+        "empty_gt": {
+          "count": 0,
+          "details": []
+        }
+      }
+    },
+    "src_chain": {
+      "hard_block": false,
+      "block_reasons": [],
+      "checks": {
+        "error_cells": {
+          "pass": true,
+          "count": 0,
+          "cells": []
+        },
+        "external_refs": {
+          "pass": true,
+          "count": 0,
+          "cells": []
+        },
+        "volatile_funcs": {
+          "pass": true,
+          "count": 0,
+          "cells": []
+        },
+        "missing_sheets": {
+          "pass": true,
+          "count": 0,
+          "sheets": []
+        },
+        "circular_refs": {
+          "pass": true,
+          "cycle_cells": []
+        }
+      },
+      "required_chain_scope": {
+        "external_ref_in_required_chain": 0,
+        "external_ref_in_other": 0,
+        "error_cells_in_required_chain": 0,
+        "error_cells_in_other": 0,
+        "required_chain_cells": 157
+      }
+    },
+    "solver_visibility": {
+      "contract_cells": 157,
+      "total_masked": 157,
+      "total_visible": 1500,
+      "depth": 4,
+      "block_reasons": [
+        "broken_chains:120/157=76.4%"
+      ],
+      "warnings": [],
+      "checks": {
+        "broken_chains": {
+          "count": 120,
+          "checked": 157,
+          "details": [
+            {
+              "cell": "Rep A!F28",
+              "missing_dep": "Data Dump!H22",
+              "formula": "=INDEX('Data Dump'!$B$22:$Y$37, MATCH($B$1, 'Data Dump'!$A$22:$A$37, 0), MATCH(F"
+            },
+            {
+              "cell": "Rep A!J24",
+              "missing_dep": "Data Dump!H3",
+              "formula": "=INDEX('Data Dump'!$B$3:$Y$18, MATCH($B$1, 'Data Dump'!$A$3:$A$18, 0), MATCH(J$2"
+            },
+            {
+              "cell": "Rep A!D11",
+              "missing_dep": "Data Dump!C55",
+              "formula": "=INDEX('Data Dump'!$B$41:$Y$56, MATCH($B$1, 'Data Dump'!$A$41:$A$56, 0), MATCH(D"
+            },
+            {
+              "cell": "Rep A!L31",
+              "missing_dep": "Data Dump!C55",
+              "formula": "=INDEX('Data Dump'!$B$41:$Y$56, MATCH($B$1, 'Data Dump'!$A$41:$A$56, 0), MATCH(L"
+            },
+            {
+              "cell": "Rep A!H16",
+              "missing_dep": "Data Dump!B74",
+              "formula": "=INDEX('Data Dump'!$B$60:$Y$75, MATCH($B$1, 'Data Dump'!$A$60:$A$75, 0), MATCH(H"
+            },
+            {
+              "cell": "Rep A!J8",
+              "missing_dep": "Data Dump!H22",
+              "formula": "=INDEX('Data Dump'!$B$22:$Y$37, MATCH($B$1, 'Data Dump'!$A$22:$A$37, 0), MATCH(J"
+            },
+            {
+              "cell": "Rep A!H25",
+              "missing_dep": "Data Dump!H3",
+              "formula": "=INDEX('Data Dump'!$B$3:$Y$18, MATCH($B$1, 'Data Dump'!$A$3:$A$18, 0), MATCH(H$2"
+            },
+            {
+              "cell": "Rep A!B30",
+              "missing_dep": "Data Dump!C55",
+              "formula": "=INDEX('Data Dump'!$B$41:$Y$56, MATCH($B$1, 'Data Dump'!$A$41:$A$56, 0), MATCH(B"
+            },
+            {
+              "cell": "Rep A!F30",
+              "missing_dep": "Data Dump!C55",
+              "formula": "=INDEX('Data Dump'!$B$41:$Y$56, MATCH($B$1, 'Data Dump'!$A$41:$A$56, 0), MATCH(F"
+            },
+            {
+              "cell": "Rep A!B39",
+              "missing_dep": "Data Dump!B93",
+              "formula": "=INDEX('Data Dump'!$B$79:$Y$94, MATCH($B$1, 'Data Dump'!$A$79:$A$94, 0), MATCH(B"
+            },
+            {
+              "cell": "Rep A!J35",
+              "missing_dep": "Data Dump!B74",
+              "formula": "=INDEX('Data Dump'!$B$60:$Y$75, MATCH($B$1, 'Data Dump'!$A$60:$A$75, 0), MATCH(J"
+            },
+            {
+              "cell": "Rep A!B19",
+              "missing_dep": "Data Dump!B93",
+              "formula": "=INDEX('Data Dump'!$B$79:$Y$94, MATCH($B$1, 'Data Dump'!$A$79:$A$94, 0), MATCH(B"
+            },
+            {
+              "cell": "Rep A!D4",
+              "missing_dep": "Data Dump!H3",
+              "formula": "=INDEX('Data Dump'!$B$3:$Y$18, MATCH($B$1, 'Data Dump'!$A$3:$A$18, 0), MATCH(D$2"
+            },
+            {
+              "cell": "Rep A!L24",
+              "missing_dep": "Data Dump!H3",
+              "formula": "=INDEX('Data Dump'!$B$3:$Y$18, MATCH($B$1, 'Data Dump'!$A$3:$A$18, 0), MATCH(L$2"
+            },
+            {
+              "cell": "Rep A!B5",
+              "missing_dep": "Data Dump!H3",
+              "formula": "=INDEX('Data Dump'!$B$3:$Y$18, MATCH($B$1, 'Data Dump'!$A$3:$A$18, 0), MATCH(B$2"
+            },
+            {
+              "cell": "Rep A!F5",
+              "missing_dep": "Data Dump!H3",
+              "formula": "=INDEX('Data Dump'!$B$3:$Y$18, MATCH($B$1, 'Data Dump'!$A$3:$A$18, 0), MATCH(F$2"
+            },
+            {
+              "cell": "Rep A!H18",
+              "missing_dep": "Data Dump!B93",
+              "formula": "=INDEX('Data Dump'!$B$79:$Y$94, MATCH($B$1, 'Data Dump'!$A$79:$A$94, 0), MATCH(H"
+            },
+            {
+              "cell": "Rep A!J10",
+              "missing_dep": "Data Dump!C55",
+              "formula": "=INDEX('Data Dump'!$B$41:$Y$56, MATCH($B$1, 'Data Dump'!$A$41:$A$56, 0), MATCH(J"
+            },
+            {
+              "cell": "Rep A!H27",
+              "missing_dep": "Data Dump!H22",
+              "formula": "=INDEX('Data Dump'!$B$22:$Y$37, MATCH($B$1, 'Data Dump'!$A$22:$A$37, 0), MATCH(H"
+            },
+            {
+              "cell": "Rep A!J19",
+              "missing_dep": "Data Dump!B93",
+              "formula": "=INDEX('Data Dump'!$B$79:$Y$94, MATCH($B$1, 'Data Dump'!$A$79:$A$94, 0), MATCH(J"
+            }
+          ]
+        },
+        "orphan_masks": {
+          "count": 0,
+          "details": []
+        },
+        "self_contained": {
+          "missing_sheets": []
+        }
+      }
+    },
+    "exemplar": {
+      "soft_block": true,
+      "block_reasons": [
+        "zero_exemplar:2_patterns"
+      ],
+      "checks": {
+        "pattern_coverage": {
+          "pass": false,
+          "total_gt_patterns": 7,
+          "total_src_patterns": 21,
+          "zero_exemplar_count": 2,
+          "low_exemplar_count": 0
+        },
+        "zero_exemplar_patterns": {
+          "pass": false,
+          "patterns": [
+            {
+              "pattern": "=INDEX(RANGE, MATCH(REF, RANGE, 0), MATCH(REF, RANGE, 0)+(RE",
+              "total_in_src": 120,
+              "sample_formula": "=INDEX('Data Dump'!$B$3:$Y$18, MATCH($B$1, 'Data Dump'!$A$3:$A$18, 0), MATCH(B$2"
+            },
+            {
+              "pattern": "=MID(CELL(\"FILENAME\",REF),FIND(\"]\",CELL(\"FILENAME\",REF))+1,2",
+              "total_in_src": 1,
+              "sample_formula": "=MID(CELL(\"filename\",A1),FIND(\"]\",CELL(\"filename\",A1))+1,256)"
+            }
+          ]
+        },
+        "low_exemplar_patterns": {
+          "pass": true,
+          "patterns": []
+        },
+        "func_coverage": {
+          "MID": {
+            "total_masked": 1,
+            "visible_exemplars": 0
+          },
+          "IF": {
+            "total_masked": 12,
+            "visible_exemplars": 706
+          },
+          "INDEX": {
+            "total_masked": 120,
+            "visible_exemplars": 120
+          },
+          "AVERAGE": {
+            "total_masked": 14,
+            "visible_exemplars": 88
+          },
+          "SUM": {
+            "total_masked": 10,
+            "visible_exemplars": 103
+          }
+        }
+      }
+    },
+    "shortcut": {
+      "shortcut_risk": 0.0,
+      "flags": []
+    },
+    "release_audit": {
+      "surface_single_sheet": true,
+      "surface_sheets": [
+        "Rep A"
+      ],
+      "cross_sheet_actual": true,
+      "cross_sheet_ref_count": 4920,
+      "referenced_sheets": [
+        "Data Dump"
+      ],
+      "target_shape": "template_column_fill",
+      "layer_sizes": [
+        12,
+        24,
+        21,
+        100
+      ],
+      "mask_last_total_cells": 157,
+      "layer_growth_ratios": [
+        2.0,
+        0.875,
+        4.7619
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+      "pattern_dominance_ratio": 0.0764,
+      "visible_clone_regions": 0,
+      "nearby_visible_clone_regions": 0,
+      "nearby_visible_clone_rows": 0,
+      "nearby_visible_clone_ratio": 0.0,
+      "promptability_score": 0.92,
+      "release_reasons": [
+        "cross_sheet_metadata_mismatch"
+      ],
+      "release_verdict": "KEEP_WITH_FIXES"
+    }
+  },
+  "difficulty": {
+    "task_id": "cross_sheet__dag_a059e842e208",
+    "difficulty_score": 88.6,
+    "difficulty": "hard",
+    "depth": 4,
+    "total_masked": 157,
+    "is_cross_sheet": true,
+    "unique_patterns": 12,
+    "avg_complexity": 8.0,
+    "cross_refs": 360,
+    "visible_exemplar_ratio": 0.4,
+    "score_breakdown": {
+      "depth": 21,
+      "cross_sheet": 10,
+      "cell_count": 14.6,
+      "patterns": 15,
+      "complexity": 12.0,
+      "cross_refs": 10,
+      "vis_penalty": 6.0
+    }
+  }
+}

FormulaCascade_Benchmark_eval_200/T1_FRONTIER/internal/FCB-00423/ground_truth_full.json

@@ -0,0 +1,1415 @@
+[
+  {
+    "sheet": "Rep A",
+    "col": "B",
+    "row": 6,
+    "formula": "=IF(B5=0,0,(B5/B4))",
+    "cached_value": 2.11,
+    "pattern_id": "pf_0000",
+    "layer": 1
+  },
+  {
+    "sheet": "Rep A",
+    "col": "B",
+    "row": 9,
+    "formula": "=IF(B8=0,0,(B8/B7))",
+    "cached_value": 0.8,
+    "pattern_id": "pf_0000",
+    "layer": 1
+  },
+  {
+    "sheet": "Rep A",
+    "col": "B",
+    "row": 12,
+    "formula": "=IF(B11=0,0,(B11/B10))",
+    "cached_value": 0.34722222222222215,
+    "pattern_id": "pf_0000",
+    "layer": 1
+  },
+  {
+    "sheet": "Rep A",
+    "col": "B",
+    "row": 17,
+    "formula": "=IF(B16=0,0,(B16/B15))",
+    "cached_value": 1.3589015151515154,
+    "pattern_id": "pf_0000",
+    "layer": 1
+  },
+  {
+    "sheet": "Rep A",
+    "col": "B",
+    "row": 20,
+    "formula": "=IF(B19=0,0,(B19/B18))",
+    "cached_value": 0.8357142857142857,
+    "pattern_id": "pf_0000",
+    "layer": 1
+  },
+  {
+    "sheet": "Rep A",
+    "col": "B",
+    "row": 26,
+    "formula": "=IF(B25=0,0,(B25/B24))",
+    "cached_value": 0,
+    "pattern_id": "pf_0000",
+    "layer": 1
+  },
+  {
+    "sheet": "Rep A",
+    "col": "B",
+    "row": 29,
+    "formula": "=IF(B28=0,0,(B28/B27))",
+    "cached_value": 0,
+    "pattern_id": "pf_0000",
+    "layer": 1
+  },
+  {
+    "sheet": "Rep A",
+    "col": "B",
+    "row": 32,
+    "formula": "=IF(B31=0,0,(B31/B30))",
+    "cached_value": 0,
+    "pattern_id": "pf_0000",
+    "layer": 1
+  },
+  {
+    "sheet": "Rep A",
+    "col": "B",
+    "row": 37,
+    "formula": "=IF(B36=0,0,(B36/B35))",
+    "cached_value": 0,
+    "pattern_id": "pf_0000",
+    "layer": 1
+  },
+  {
+    "sheet": "Rep A",
+    "col": "B",
+    "row": 40,
+    "formula": "=IF(B39=0,0,(B39/B38))",
+    "cached_value": 0,
+    "pattern_id": "pf_0000",
+    "layer": 1
+  },
+  {
+    "sheet": "Rep A",
+    "col": "B",
+    "row": 46,
+    "formula": "=IF(B45=0,0,(B45/B44))",
+    "cached_value": 1.2619433333333334,
+    "pattern_id": "pf_0000",
+    "layer": 1
+  },
+  {
+    "sheet": "Rep A",
+    "col": "B",
+    "row": 52,
+    "formula": "=IF(B51=0,0,(B51/B50))",
+    "cached_value": 1.4146569865319867,
+    "pattern_id": "pf_0000",
+    "layer": 1
+  },
+  {
+    "sheet": "Rep A",
+    "col": "B",
+    "row": 4,
+    "formula": "=INDEX('Data Dump'!$B$3:$Y$18, MATCH($B$1, 'Data Dump'!$A$3:$A$18, 0), MATCH(B$2, 'Data Dump'!$B$1:$Y$1, 0)+($A4=\"Act\"))",
+    "cached_value": 1000,
+    "pattern_id": "pf_0010",
+    "layer": 2
+  },
+  {
+    "sheet": "Rep A",
+    "col": "B",
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FormulaCascade_Benchmark_eval_200/T1_FRONTIER/internal/FCB-00423/ground_truth_target.json

@@ -0,0 +1,98 @@
+[
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+    "col": "B",
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+    "formula": "=IF(B8=0,0,(B8/B7))",
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+    "pattern_id": "pf_0000"
+  },
+  {
+    "sheet": "Rep A",
+    "col": "B",
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+    "formula": "=IF(B11=0,0,(B11/B10))",
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+  {
+    "sheet": "Rep A",
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+    "row": 17,
+    "formula": "=IF(B16=0,0,(B16/B15))",
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+    "cached_value": 0,
+    "pattern_id": "pf_0000"
+  },
+  {
+    "sheet": "Rep A",
+    "col": "B",
+    "row": 29,
+    "formula": "=IF(B28=0,0,(B28/B27))",
+    "cached_value": 0,
+    "pattern_id": "pf_0000"
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+  {
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+    "col": "B",
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+    "formula": "=IF(B31=0,0,(B31/B30))",
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+  {
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+    "formula": "=IF(B36=0,0,(B36/B35))",
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FormulaCascade_Benchmark_eval_200/T1_FRONTIER/internal/FCB-00423/release_qc.json

@@ -0,0 +1,58 @@
+{
+  "binary": true,
+  "binary_reason": "CORRECT: the mask is clean and the dependency chain is reconstructible from visible workbook structure, adjacent formulas, headers, and Data Dump data.",
+  "D1": {
+    "score": 5,
+    "reason": "All 157 contract cells are real cells within the Rep A sheet range, and the diff summary shows exactly 157 truly masked cells with no contract misses and no extra masked cells. The many formula_cache_missing entries are the known openpyxl artifact and not a masking problem. Visible same-row/team-column formulas provide structural clues, but the full task is not trivially copyable because the solver must reconstruct masked rep lookups, totals, and dependent percentage formulas across multiple layers."
+  },
+  "D2": {
+    "score": 5,
+    "reason": "The listed layer-1 GT formulas match the source workbook pattern: each target % to Goal cell is an IF wrapper over the corresponding Act/Goal pair in column B. The cached values are consistent with the formulas shown, including the zero cases and the 2013 total/activity aggregate ratios. Formulas are deterministic in the workbook context; B1 uses the sheet-name extraction formula as a prerequisite, which is standard for this template."
+  },
+  "D3": {
+    "score": 4,
+    "reason": "The NL prompt clearly identifies the exact final cells to fill and describes the Rep A performance view with monthly and activity information. It also warns that supporting blanks feed other areas. The main limitation is that it does not explicitly name the Data Dump sheet as the source for the cross-sheet lookups, but the workbook structure and visible formulas make that discoverable."
+  },
+  "D4": {
+    "score": 4,
+    "reason": "Using only mask_last.xlsx and the NL prompt, the core evidence is present: headers identify Rep vs Team columns, months and metric rows are visible, adjacent Team formulas show the INDEX/MATCH structure against Data Dump, Data Dump is visible with matching month/name blocks, and aggregate rows show SUM/AVERAGE patterns through visible formulas in neighboring columns. The final % formulas are also visible in analogous cells. The main minor gap is that B1's exact sheet-name-extraction formula is not directly visible in the Rep A window, though its required value is strongly inferable from A1 'Name:', the sheet name, and the NL task. Thus the chain is hard but reconstructible with reasonable inference.",
+    "d4_type": "ok"
+  },
+  "D5": {
+    "score": 5,
+    "reason": "The source workbook appears structurally sound: sheets and headers are meaningful, the Data Dump ranges align with the formulas, there are no reported chain errors, broken references, phantom cells, circularity, or corrupted values, and the cached outputs are consistent with the formulas."
+  },
+  "D6": {
+    "score": 5,
+    "reason": "The NL request sounds like a plausible workplace spreadsheet-completion instruction. It avoids benchmark jargon, names the sheet and target cells, and frames the supporting blanks naturally as related monthly/activity information."
+  },
+  "total": 28,
+  "verdict": "RELEASE",
+  "verdict_reason": "High-quality hard task: clean masking, correct GT, understandable prompt, and sufficient visible evidence for a solver to reconstruct the cross-sheet dependency chain. Minor NL omission of Data Dump is not severe because the workbook formulas expose it.",
+  "frontier_hardness": {
+    "score": 4,
+    "reason": "This is genuinely hard due to depth-4 chain masking, 157 masked cells, cross-sheet INDEX/MATCH dependencies into Data Dump, monthly rep/team structure, and multiple formula families including direct lookups, sums, averages, and ratio formulas. Visible exemplars help but do not make the whole chain trivially copyable because the solver must infer rep-vs-team lookup differences, reconstruct masked totals, and order dependencies correctly.",
+    "fail_reason": "deep_chain",
+    "is_valid_hardness": true
+  },
+  "_prompt_chars": 380783,
+  "_timing_load_workbooks": 0.66,
+  "_timing_context": 0.03,
+  "_timing_api": 327.69,
+  "local_difficulty": {
+    "difficulty_score": 88.6,
+    "difficulty": "hard",
+    "depth": 4,
+    "total_masked": 157,
+    "is_cross_sheet": true,
+    "unique_patterns": 12,
+    "avg_complexity": 8,
+    "cross_refs": 360,
+    "visible_exemplar_ratio": 0.4
+  },
+  "task_id": "cross_sheet__dag_a059e842e208",
+  "elapsed": 328.4,
+  "publish_decision": "YES",
+  "release_tier": "FRONTIER_HARD",
+  "hard_block_reasons": []
+}

FormulaCascade_Benchmark_eval_200/T1_FRONTIER/internal/FCB-00423/target_contract.json

@@ -0,0 +1,295 @@
+{
+  "task_id": "cross_sheet__dag_a059e842e208",
+  "category": "cross_sheet",
+  "depth": 4,
+  "final_target": {
+    "regions": [
+      {
+        "sheet": "Rep A",
+        "column": "B",
+        "column_header": "Rep A",
+        "cell_range": "B6, B9, B12, B17, B20, B26, B29, B32, B37, B40, B46, B52",
+        "cell_count": 12,
+        "rows": [
+          6,
+          9,
+          12,
+          17,
+          20,
+          26,
+          29,
+          32,
+          37,
+          40,
+          46,
+          52
+        ],
+        "first_row_label": "% to Goal",
+        "last_row_label": "% to Goal"
+      }
+    ],
+    "cell_count": 12,
+    "formula_families": [
+      "conditional"
+    ]
+  },
+  "prerequisite_steps": [
+    {
+      "layer": 4,
+      "regions": [
+        {
+          "sheet": "Rep A",
+          "column": "D",
+          "column_header": "Rep",
+          "cell_range": "D4:D5, D7:D8, D10:D11, D15:D16, D18:D19, D24:D25, D27:D28, D30:D31, D35:D36, D38:D39",
+          "cell_count": 20,
+          "rows": [
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+            8,
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+            30,
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+            35,
+            36,
+            38,
+            39
+          ],
+          "first_row_label": "Goal",
+          "last_row_label": "Act"
+        },
+        {
+          "sheet": "Rep A",
+          "column": "F",
+          "column_header": "Rep",
+          "cell_range": "F4:F5, F7:F8, F10:F11, F15:F16, F18:F19, F24:F25, F27:F28, F30:F31, F35:F36, F38:F39",
+          "cell_count": 20,
+          "rows": [
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+            5,
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+            8,
+            10,
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+            15,
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+          "column_header": "Rep",
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+          "last_row_label": ""
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+        {
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+          "column": "N",
+          "column_header": "Rep",
+          "cell_range": "N4:N5, N7:N8, N10:N11, N15:N16, N18:N19, N24:N25, N27:N28, N30:N31, N35:N36, N38:N39",
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+  "ratio_total_vs_final": 13.1,
+  "sheets_involved": [
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+  ]
+}

FormulaCascade_Benchmark_eval_200/T1_FRONTIER/internal/FCB-00443/audit.json

@@ -0,0 +1,592 @@
+{
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+    "pre_nl_gate": {
+      "gate_label": "GATE_PASS",
+      "gate_pass": true,
+      "hard_fails": 0,
+      "warns": 0,
+      "checks": [
+        {
+          "check": "final_target_gate",
+          "pass": true,
+          "detail": "final_target has 18 cells"
+        },
+        {
+          "check": "header_grounding",
+          "pass": true,
+          "severity": "pass",
+          "detail": "1/1 final regions have column_header"
+        },
+        {
+          "check": "mask_consistency",
+          "pass": true,
+          "detail": "mask_last=33939B, src=48208B"
+        },
+        {
+          "check": "dirty_family",
+          "pass": true,
+          "detail": "0 dirty cells"
+        },
+        {
+          "check": "ratio_gate",
+          "pass": true,
+          "detail": "ratio=3.7 (total=66, final=18)"
+        },
+        {
+          "check": "dedup_gate",
+          "pass": true,
+          "detail": "0 duplicate cells across layers"
+        },
+        {
+          "check": "gt_uniqueness",
+          "pass": true,
+          "detail": "39 unique values across 66 cells"
+        },
+        {
+          "check": "tail_artifact",
+          "pass": true,
+          "detail": "0 bad values"
+        },
+        {
+          "check": "unrecoverable_leaf",
+          "pass": true,
+          "detail": "clean",
+          "hidden_const_cells": []
+        },
+        {
+          "check": "adjacent_column_leak",
+          "pass": true,
+          "detail": "leaked: Sheet3!F→Sheet1!F(12/12), Sheet3!G→Sheet1!G(3/3)"
+        },
+        {
+          "check": "header_name_accuracy",
+          "pass": true,
+          "detail": "clean"
+        },
+        {
+          "check": "duplicate_lookup_tie_break",
+          "pass": true,
+          "detail": "no lookup formulas"
+        },
+        {
+          "check": "src_chain_integrity",
+          "pass": true,
+          "severity": "ok",
+          "detail": "clean",
+          "sub_checks": {
+            "error_cells": {
+              "pass": true,
+              "count": 0,
+              "cells": []
+            },
+            "external_refs": {
+              "pass": true,
+              "count": 0,
+              "cells": []
+            },
+            "volatile_funcs": {
+              "pass": true,
+              "count": 0,
+              "cells": []
+            },
+            "missing_sheets": {
+              "pass": true,
+              "count": 0,
+              "sheets": []
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+            "circular_refs": {
+              "pass": true,
+              "cycle_cells": []
+            }
+          }
+        },
+        {
+          "check": "uniqueness_deep",
+          "pass": true,
+          "severity": "ok",
+          "detail": "clean"
+        }
+      ]
+    },
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+      "validate_pass": true,
+      "hard_fails": 0,
+      "soft_warns": 1,
+      "checks": [
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+          "pass": false,
+          "detail": "contract=21, prompt=3, missing=8",
+          "missing_ranges": [
+            "M19:M21",
+            "M24",
+            "M30",
+            "M32",
+            "N21:N23",
+            "N24",
+            "N30",
+            "N32"
+          ],
+          "severity": "SOFT_WARN"
+        },
+        {
+          "check": "cell_count_match",
+          "pass": true,
+          "detail": "no explicit total found; skipping (natural format)",
+          "severity": "OK"
+        },
+        {
+          "check": "step_count_match",
+          "pass": true,
+          "detail": "contract=3, no explicit steps found (v5 natural format)",
+          "severity": "OK"
+        },
+        {
+          "check": "sheet_name_match",
+          "pass": true,
+          "detail": "contract=['Sheet1'], missing=[]",
+          "severity": "OK"
+        },
+        {
+          "check": "no_formula_leak",
+          "pass": true,
+          "detail": "0 formula leaks",
+          "severity": "OK"
+        },
+        {
+          "check": "no_value_leak",
+          "pass": true,
+          "detail": "0 value leaks out of 18 GT cells",
+          "severity": "OK"
+        },
+        {
+          "check": "final_target_first",
+          "pass": true,
+          "detail": "no explicit final target marker (natural format)",
+          "severity": "OK"
+        },
+        {
+          "check": "output_format",
+          "pass": true,
+          "detail": "output format found",
+          "severity": "OK"
+        },
+        {
+          "check": "header_in_prompt",
+          "pass": true,
+          "detail": "no column headers found in prompt",
+          "severity": "OK"
+        },
+        {
+          "check": "hint_specificity",
+          "pass": true,
+          "detail": "clean",
+          "severity": "OK"
+        },
+        {
+          "check": "evidence_scope",
+          "pass": true,
+          "detail": "no cross-sheet refs in GT",
+          "severity": "OK"
+        },
+        {
+          "check": "exemplar_consistency",
+          "pass": true,
+          "severity": "OK",
+          "detail": "checked 7 col groups; CONFLICTS: Sheet1!O26: visible='=O24' vs GT pattern='=SUM(L#:N#)'"
+        },
+        {
+          "check": "nl_gt_operation_consistency",
+          "pass": true,
+          "detail": "GT funcs: ['FV', 'SUM']",
+          "severity": "OK"
+        },
+        {
+          "check": "unmatched_default_rule",
+          "pass": true,
+          "detail": "no default-rule phrase found in NL",
+          "severity": "OK"
+        },
+        {
+          "check": "volatile_function_freeze",
+          "pass": true,
+          "detail": "volatile_cells=0",
+          "severity": "OK"
+        },
+        {
+          "check": "direct_answer_leakage",
+          "pass": true,
+          "detail": "0 leaks out of 66 GT cells (0%)",
+          "severity": "OK"
+        }
+      ]
+    },
+    "pre_nl_local": {
+      "local_total": 58,
+      "local_label": "PENDING_NL",
+      "hard_fail_flags": [],
+      "warnings": [
+        "nl_missing"
+      ],
+      "local_subscores": {
+        "family_clean": 25,
+        "target_integrity": 15,
+        "taxonomy": 10,
+        "semantic_signal": 8,
+        "nl_schema": 0,
+        "target_alignment": 0,
+        "business_specificity": 0,
+        "nl_risk": 0
+      }
+    }
+  },
+  "verify": {
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+      "total_non_none": 66,
+      "block_reasons": [],
+      "warnings": [
+        "mixed_gt_types:{'int': 7, 'float': 59}"
+      ],
+      "checks": {
+        "rank_tie_risk": {
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+          "tie_issues": 0,
+          "details": []
+        },
+        "trivial_gt": {
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+        },
+        "gt_type_consistency": {
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+            "float": 59
+          },
+          "mixed": true
+        },
+        "empty_gt": {
+          "count": 0,
+          "details": []
+        }
+      }
+    },
+    "src_chain": {
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+      "block_reasons": [],
+      "checks": {
+        "error_cells": {
+          "pass": true,
+          "count": 0,
+          "cells": []
+        },
+        "external_refs": {
+          "pass": true,
+          "count": 0,
+          "cells": []
+        },
+        "volatile_funcs": {
+          "pass": true,
+          "count": 0,
+          "cells": []
+        },
+        "missing_sheets": {
+          "pass": true,
+          "count": 0,
+          "sheets": []
+        },
+        "circular_refs": {
+          "pass": true,
+          "cycle_cells": []
+        }
+      },
+      "required_chain_scope": {
+        "external_ref_in_required_chain": 0,
+        "external_ref_in_other": 0,
+        "error_cells_in_required_chain": 0,
+        "error_cells_in_other": 0,
+        "required_chain_cells": 66
+      }
+    },
+    "solver_visibility": {
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+      "total_masked": 66,
+      "total_visible": 236,
+      "depth": 4,
+      "block_reasons": [
+        "broken_chains:19/66=28.8%"
+      ],
+      "warnings": [],
+      "checks": {
+        "broken_chains": {
+          "count": 19,
+          "checked": 66,
+          "details": [
+            {
+              "cell": "Sheet1!N24",
+              "missing_dep": "Sheet1!N8",
+              "formula": "=SUM(N8:N23)"
+            },
+            {
+              "cell": "Sheet1!O9",
+              "missing_dep": "Sheet1!M9",
+              "formula": "=SUM(L9:N9)"
+            },
+            {
+              "cell": "Sheet1!O12",
+              "missing_dep": "Sheet1!M12",
+              "formula": "=SUM(L12:N12)"
+            },
+            {
+              "cell": "Sheet1!O18",
+              "missing_dep": "Sheet1!M18",
+              "formula": "=SUM(L18:N18)"
+            },
+            {
+              "cell": "Sheet1!O15",
+              "missing_dep": "Sheet1!M15",
+              "formula": "=SUM(L15:N15)"
+            },
+            {
+              "cell": "Sheet1!O21",
+              "missing_dep": "Sheet1!L21",
+              "formula": "=SUM(L21:N21)"
+            },
+            {
+              "cell": "Sheet1!O11",
+              "missing_dep": "Sheet1!M11",
+              "formula": "=SUM(L11:N11)"
+            },
+            {
+              "cell": "Sheet1!O8",
+              "missing_dep": "Sheet1!M8",
+              "formula": "=SUM(L8:N8)"
+            },
+            {
+              "cell": "Sheet1!O14",
+              "missing_dep": "Sheet1!M14",
+              "formula": "=SUM(L14:N14)"
+            },
+            {
+              "cell": "Sheet1!O17",
+              "missing_dep": "Sheet1!M17",
+              "formula": "=SUM(L17:N17)"
+            },
+            {
+              "cell": "Sheet1!O23",
+              "missing_dep": "Sheet1!L23",
+              "formula": "=SUM(L23:N23)"
+            },
+            {
+              "cell": "Sheet1!O20",
+              "missing_dep": "Sheet1!L20",
+              "formula": "=SUM(L20:N20)"
+            },
+            {
+              "cell": "Sheet1!L24",
+              "missing_dep": "Sheet1!L20",
+              "formula": "=SUM(L8:L23)"
+            },
+            {
+              "cell": "Sheet1!M24",
+              "missing_dep": "Sheet1!M8",
+              "formula": "=SUM(M8:M23)"
+            },
+            {
+              "cell": "Sheet1!O10",
+              "missing_dep": "Sheet1!M10",
+              "formula": "=SUM(L10:N10)"
+            },
+            {
+              "cell": "Sheet1!O16",
+              "missing_dep": "Sheet1!M16",
+              "formula": "=SUM(L16:N16)"
+            },
+            {
+              "cell": "Sheet1!O13",
+              "missing_dep": "Sheet1!M13",
+              "formula": "=SUM(L13:N13)"
+            },
+            {
+              "cell": "Sheet1!O19",
+              "missing_dep": "Sheet1!N19",
+              "formula": "=SUM(L19:N19)"
+            },
+            {
+              "cell": "Sheet1!O22",
+              "missing_dep": "Sheet1!L22",
+              "formula": "=SUM(L22:N22)"
+            }
+          ]
+        },
+        "orphan_masks": {
+          "count": 0,
+          "details": []
+        },
+        "self_contained": {
+          "missing_sheets": []
+        }
+      }
+    },
+    "exemplar": {
+      "soft_block": true,
+      "block_reasons": [
+        "zero_exemplar:15_patterns"
+      ],
+      "checks": {
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+          "total_gt_patterns": 24,
+          "total_src_patterns": 64,
+          "zero_exemplar_count": 15,
+          "low_exemplar_count": 1
+        },
+        "zero_exemplar_patterns": {
+          "pass": false,
+          "patterns": [
+            {
+              "pattern": "=FV(REF,8, 0, -REF*2, 0)",
+              "total_in_src": 1,
+              "sample_formula": "=FV(B17,8, 0, -F8*2, 0)"
+            },
+            {
+              "pattern": "=REF/2",
+              "total_in_src": 1,
+              "sample_formula": "=B19/2"
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+            {
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+              "total_in_src": 1,
+              "sample_formula": "=FV(B17,10, 0, -F8*2, 0)"
+            },
+            {
+              "pattern": "=REF*0.5",
+              "total_in_src": 1,
+              "sample_formula": "=H23*0.5"
+            },
+            {
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+              "total_in_src": 1,
+              "sample_formula": "=FV(B17,7, 0, -F8*2, 0)"
+            },
+            {
+              "pattern": "=FV(REF,11, 0, -REF*2, 0)",
+              "total_in_src": 1,
+              "sample_formula": "=FV(B17,11, 0, -F8*2, 0)"
+            },
+            {
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+              "total_in_src": 1,
+              "sample_formula": "=FV(B17,6, 0, -F8*2, 0)"
+            },
+            {
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+              "sample_formula": "=FV(B17,2, 0, -F8*2, 0)"
+            },
+            {
+              "pattern": "=FV(REF,3, 0, -REF*2, 0)",
+              "total_in_src": 1,
+              "sample_formula": "=FV(B17,3, 0, -F8*2, 0)"
+            },
+            {
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+              "total_in_src": 2,
+              "sample_formula": "=F19*0.25"
+            }
+          ]
+        },
+        "low_exemplar_patterns": {
+          "pass": false,
+          "patterns": [
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+              "pattern": "=FV(REF,15, 0, -REF, 0)",
+              "total_in_src": 2,
+              "sample_formula": "=FV(B17,15, 0, -G8, 0)"
+            }
+          ]
+        },
+        "func_coverage": {
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+            "visible_exemplars": 85
+          },
+          "reference": {
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+            "visible_exemplars": 64
+          },
+          "FV": {
+            "total_masked": 17,
+            "visible_exemplars": 142
+          },
+          "arithmetic": {
+            "total_masked": 12,
+            "visible_exemplars": 372
+          }
+        }
+      }
+    },
+    "shortcut": {
+      "shortcut_risk": 0.2,
+      "flags": [
+        {
+          "code": "SC3",
+          "description": "Copy-from-visible: 11/66 GT cells have nearby visible formula clones",
+          "affected_cells": 11,
+          "severity": "low"
+        }
+      ]
+    },
+    "release_audit": {
+      "surface_single_sheet": true,
+      "surface_sheets": [
+        "Sheet1"
+      ],
+      "cross_sheet_actual": false,
+      "cross_sheet_ref_count": 0,
+      "referenced_sheets": [],
+      "target_shape": "summary_block",
+      "layer_sizes": [
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+        24,
+        22,
+        2
+      ],
+      "mask_last_total_cells": 66,
+      "layer_growth_ratios": [
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+        0.9167,
+        0.0909
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+      "pattern_dominance_ratio": 0.2727,
+      "visible_clone_regions": 2,
+      "nearby_visible_clone_regions": 0,
+      "nearby_visible_clone_rows": 0,
+      "nearby_visible_clone_ratio": 0.0,
+      "promptability_score": 1.0,
+      "release_reasons": [],
+      "release_verdict": "KEEP"
+    }
+  },
+  "difficulty": {
+    "task_id": "single_sheet__dag_7c708c427ae4",
+    "difficulty_score": 64.9,
+    "difficulty": "hard",
+    "depth": 4,
+    "total_masked": 66,
+    "is_cross_sheet": false,
+    "unique_patterns": 22,
+    "avg_complexity": 5.2,
+    "cross_refs": 0,
+    "visible_exemplar_ratio": 0.1,
+    "score_breakdown": {
+      "depth": 21,
+      "cross_sheet": 0,
+      "cell_count": 12.1,
+      "patterns": 15,
+      "complexity": 7.8,
+      "cross_refs": 0,
+      "vis_penalty": 9.0
+    }
+  }
+}

FormulaCascade_Benchmark_eval_200/T1_FRONTIER/internal/FCB-00443/ground_truth_full.json

@@ -0,0 +1,596 @@
+[
+  {
+    "sheet": "Sheet1",
+    "col": "O",
+    "row": 8,
+    "formula": "=SUM(L8:N8)",
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FormulaCascade_Benchmark_eval_200/T1_FRONTIER/internal/FCB-00443/nl_task.json

@@ -0,0 +1,26 @@
+{
+  "task_id": "single_sheet__dag_7c708c427ae4",
+  "prompt_en": "Sheet1 is a finance-style resident sample for Estimated Yearly Fees By Level Of Care and Estimated Yearly Revenue For Resident, with columns for Year, IL, AL, SNF, and a column O labeled Total. Please fill in the blank entries in the Total column on Sheet1 for the resident-year lines and the related section rows: O8:O23, O30, and O32. The surrounding care-level figures and related yearly entries need to be in place before the Total column is finalized. Please save the completed workbook as an .xlsx file.",
+  "prompt_cn": "Sheet1 是一张偏财务用途的居民样本表，内容包括“Estimated Yearly Fees By Level Of Care”和“Estimated Yearly Revenue For Resident”，表中有 Year、IL、AL、SNF，以及 O 列的“Total”。请补全 Sheet1 中 Total 列的空白项，包括居民年度明细行和相关分区行：O8:O23、O30、O32。周围各护理级别的数据以及相关年度项目需要先完整，Total 列的内容才好确认。请将完成后的工作簿保存为 .xlsx 文件。",
+  "quality_notes": "The prompt is minimal and scenario-based, references only visible sheet labels and columns, identifies the target Total-column ranges, and avoids formulas or procedural calculation hints.",
+  "post_check_issues": [],
+  "prompt_mode": "minimal",
+  "hint_leakage": {
+    "score": 4,
+    "level": "low",
+    "max_possible": 100,
+    "dimensions": {
+      "operation_words": 0,
+      "cell_range_density": 4,
+      "step_by_step": 0,
+      "column_operation_mapping": 0,
+      "formula_pattern_hints": 0
+    },
+    "operation_words_found": [],
+    "cell_ranges_found": 1
+  },
+  "version": "v7",
+  "model": "gpt-5.5",
+  "elapsed": 9.8,
+  "attempt": 1
+}

FormulaCascade_Benchmark_eval_200/T1_FRONTIER/internal/FCB-00443/release_qc.json

@@ -0,0 +1,57 @@
+{
+  "binary": true,
+  "binary_reason": "Well-designed: mask boundary is clean, GT is consistent, and the dependency chain is hard but reconstructible from visible workbook context.",
+  "D1": {
+    "score": 5,
+    "reason": "All 66 contract cells are truly masked, with no contract misses and no extra masked cells. The referenced cells are within the real Sheet1 range, so there are no phantom cells. Visible surrounding formulas and values provide structural clues, but the task is not trivially copyable because the solver must reconstruct multiple interacting prerequisite columns before the Total formulas can evaluate."
+  },
+  "D2": {
+    "score": 5,
+    "reason": "The layer-1 GT formulas are consistent with the source workbook pattern: each target Total cell uses =SUM(Lrow:Nrow), and cached values align with the visible care-level revenue structure, including O30 summing allocation ratios to 1 and O32 summing allocated entrance-fee amounts to 350000. Formulas are deterministic and use ordinary arithmetic/range references."
+  },
+  "D3": {
+    "score": 4,
+    "reason": "The NL description clearly identifies Sheet1 and the target Total cells O8:O23, O30, and O32. It also hints that surrounding care-level figures and yearly entries must be restored before finalizing the Total column. Minor weakness: it does not explicitly enumerate all prerequisite blank cells or the exact allocation logic, but that is acceptable for the chain-masking design."
+  },
+  "D4": {
+    "score": 4,
+    "reason": "Using only mask_last.xlsx and the prompt, the task is difficult but largely solvable. Headers expose the two related sections: yearly fees by care level and estimated yearly revenue by resident, with IL/AL/SNF/Total columns. Visible base inputs such as yearly fees, inflation rate, entrance fee, admission date, and life-expectancy breakdown provide root evidence. Many adjacent rows and allocation/amortization columns remain visible, giving clues about year progression, inflated care-level fees, zero/nonzero care-level periods, proportional allocations, and summary-row relationships. The final Total pattern is strongly indicated by the Total header and the L:N care-level columns. The main challenge is reconstructing boundary-year care-level fractions and summary dependencies, but these are inferable from visible context rather than hidden constants.",
+    "d4_type": "ok"
+  },
+  "D5": {
+    "score": 5,
+    "reason": "The source workbook appears internally coherent: formulas are deterministic, references are local and valid, headers are meaningful, and there is no evidence of corrupted values, broken formulas, circular references, or inconsistent data structure in the audited region."
+  },
+  "D6": {
+    "score": 5,
+    "reason": "The NL prompt sounds like a plausible workplace spreadsheet-completion request. It avoids benchmark jargon and naturally describes the finance-style resident-fee/revenue context and the desired completed workbook output."
+  },
+  "total": 28,
+  "verdict": "RELEASE",
+  "verdict_reason": "High-quality hard chain-masking task with clean masking, correct GT, adequate prompt, and sufficient visible evidence for reconstruction. Suitable for publication as-is.",
+  "frontier_hardness": {
+    "score": 4,
+    "reason": "This is genuinely hard because the solver must reconstruct a depth-4 dependency chain across fee inflation, care-level allocation periods, summary totals, allocation ratios, and final Total formulas. There are many distinct formula patterns and interacting columns, though no cross-sheet dependencies or hidden constants appear necessary.",
+    "fail_reason": "deep_chain",
+    "is_valid_hardness": true
+  },
+  "_prompt_chars": 86655,
+  "local_difficulty": {
+    "difficulty_score": 66.1,
+    "difficulty": "hard",
+    "depth": 4,
+    "total_masked": 66,
+    "is_cross_sheet": false,
+    "unique_patterns": 22,
+    "avg_complexity": 6,
+    "cross_refs": 0,
+    "visible_exemplar_ratio": 0.1
+  },
+  "_timing_context": 581.2,
+  "_timing_api": 38.4,
+  "task_id": "single_sheet__dag_7c708c427ae4",
+  "elapsed": 619.7,
+  "publish_decision": "YES",
+  "release_tier": "FRONTIER_HARD",
+  "hard_block_reasons": []
+}

FormulaCascade_Benchmark_eval_200/T1_FRONTIER/internal/FCB-00443/target_contract.json

@@ -0,0 +1,248 @@
+{
+  "task_id": "single_sheet__dag_7c708c427ae4",
+  "category": "single_sheet",
+  "depth": 4,
+  "final_target": {
+    "regions": [
+      {
+        "sheet": "Sheet1",
+        "column": "O",
+        "column_header": "Total",
+        "cell_range": "O8:O23, O30, O32",
+        "cell_count": 18,
+        "rows": [
+          8,
+          9,
+          10,
+          11,
+          12,
+          13,
+          14,
+          15,
+          16,
+          17,
+          18,
+          19,
+          20,
+          21,
+          22,
+          23,
+          30,
+          32
+        ],
+        "first_row_label": "Admission Date:",
+        "last_row_label": ""
+      }
+    ],
+    "cell_count": 18,
+    "formula_families": [
+      "aggregation"
+    ]
+  },
+  "prerequisite_steps": [
+    {
+      "layer": 4,
+      "regions": [
+        {
+          "sheet": "Sheet1",
+          "column": "G",
+          "column_header": "AL",
+          "cell_range": "G8",
+          "cell_count": 1,
+          "rows": [
+            8
+          ],
+          "first_row_label": "Admission Date:",
+          "last_row_label": ""
+        },
+        {
+          "sheet": "Sheet1",
+          "column": "H",
+          "column_header": "SNF",
+          "cell_range": "H8",
+          "cell_count": 1,
+          "rows": [
+            8
+          ],
+          "first_row_label": "Admission Date:",
+          "last_row_label": ""
+        }
+      ],
+      "cell_count": 2
+    },
+    {
+      "layer": 3,
+      "regions": [
+        {
+          "sheet": "Sheet1",
+          "column": "F",
+          "column_header": "IL",
+          "cell_range": "F8:F19",
+          "cell_count": 12,
+          "rows": [
+            8,
+            9,
+            10,
+            11,
+            12,
+            13,
+            14,
+            15,
+            16,
+            17,
+            18,
+            19
+          ],
+          "first_row_label": "Admission Date:",
+          "last_row_label": "IL"
+        },
+        {
+          "sheet": "Sheet1",
+          "column": "G",
+          "column_header": "AL",
+          "cell_range": "G19:G21",
+          "cell_count": 3,
+          "rows": [
+            19,
+            20,
+            21
+          ],
+          "first_row_label": "IL",
+          "last_row_label": "SNF"
+        },
+        {
+          "sheet": "Sheet1",
+          "column": "H",
+          "column_header": "SNF",
+          "cell_range": "H21:H23",
+          "cell_count": 3,
+          "rows": [
+            21,
+            22,
+            23
+          ],
+          "first_row_label": "SNF",
+          "last_row_label": ""
+        },
+        {
+          "sheet": "Sheet1",
+          "column": "L",
+          "column_header": "IL",
+          "cell_range": "L24",
+          "cell_count": 1,
+          "rows": [
+            24
+          ],
+          "first_row_label": "",
+          "last_row_label": ""
+        },
+        {
+          "sheet": "Sheet1",
+          "column": "M",
+          "column_header": "",
+          "cell_range": "M24",
+          "cell_count": 1,
+          "rows": [
+            24
+          ],
+          "first_row_label": "",
+          "last_row_label": ""
+        },
+        {
+          "sheet": "Sheet1",
+          "column": "N",
+          "column_header": "",
+          "cell_range": "N24",
+          "cell_count": 1,
+          "rows": [
+            24
+          ],
+          "first_row_label": "",
+          "last_row_label": ""
+        },
+        {
+          "sheet": "Sheet1",
+          "column": "O",
+          "column_header": "Total",
+          "cell_range": "O24",
+          "cell_count": 1,
+          "rows": [
+            24
+          ],
+          "first_row_label": "",
+          "last_row_label": ""
+        }
+      ],
+      "cell_count": 22
+    },
+    {
+      "layer": 2,
+      "regions": [
+        {
+          "sheet": "Sheet1",
+          "column": "L",
+          "column_header": "IL",
+          "cell_range": "L8:L19, L30, L32",
+          "cell_count": 14,
+          "rows": [
+            8,
+            9,
+            10,
+            11,
+            12,
+            13,
+            14,
+            15,
+            16,
+            17,
+            18,
+            19,
+            30,
+            32
+          ],
+          "first_row_label": "Admission Date:",
+          "last_row_label": ""
+        },
+        {
+          "sheet": "Sheet1",
+          "column": "M",
+          "column_header": "",
+          "cell_range": "M19:M21, M30, M32",
+          "cell_count": 5,
+          "rows": [
+            19,
+            20,
+            21,
+            30,
+            32
+          ],
+          "first_row_label": "IL",
+          "last_row_label": ""
+        },
+        {
+          "sheet": "Sheet1",
+          "column": "N",
+          "column_header": "",
+          "cell_range": "N21:N23, N30, N32",
+          "cell_count": 5,
+          "rows": [
+            21,
+            22,
+            23,
+            30,
+            32
+          ],
+          "first_row_label": "SNF",
+          "last_row_label": ""
+        }
+      ],
+      "cell_count": 24
+    }
+  ],
+  "total_prerequisite_cells": 48,
+  "total_masked_cells": 66,
+  "ratio_total_vs_final": 3.7,
+  "sheets_involved": [
+    "Sheet1"
+  ]
+}

FormulaCascade_Benchmark_eval_200/T1_FRONTIER/internal/FCB-00443/task_meta.json

@@ -0,0 +1,55 @@
+{
+  "fcb_id": "FCB-00443",
+  "task_id": "single_sheet__dag_7c708c427ae4",
+  "tier": "T1_FRONTIER",
+  "category": "single_sheet",
+  "depth": 4,
+  "total_masked": 66,
+  "is_cross_sheet": false,
+  "prompt_en": "Sheet1 is a finance-style resident sample for Estimated Yearly Fees By Level Of Care and Estimated Yearly Revenue For Resident, with columns for Year, IL, AL, SNF, and a column O labeled Total. Please fill in the blank entries in the Total column on Sheet1 for the resident-year lines and the related section rows: O8:O23, O30, and O32. The surrounding care-level figures and related yearly entries need to be in place before the Total column is finalized. Please save the completed workbook as an .xlsx file.",
+  "prompt_cn": "Sheet1 是一张偏财务用途的居民样本表，内容包括“Estimated Yearly Fees By Level Of Care”和“Estimated Yearly Revenue For Resident”，表中有 Year、IL、AL、SNF，以及 O 列的“Total”。请补全 Sheet1 中 Total 列的空白项，包括居民年度明细行和相关分区行：O8:O23、O30、O32。周围各护理级别的数据以及相关年度项目需要先完整，Total 列的内容才好确认。请将完成后的工作簿保存为 .xlsx 文件。",
+  "qc": {
+    "total": 28,
+    "verdict": "RELEASE",
+    "D1": 5,
+    "D2": 5,
+    "D3": 4,
+    "D4": 4,
+    "D5": 5,
+    "D6": 5,
+    "frontier_hardness": 4,
+    "local_difficulty": 66.1
+  },
+  "source_file_id": "739034d1625473614-allocation-of-revenue-from-one-to-another-allocation-of-revenue-from-one-to-another-",
+  "inferred_domain": "finance",
+  "domain_confidence": 0.25,
+  "sheet_profiles": [
+    {
+      "name": "Sheet3",
+      "used_range": "A1:AJ157",
+      "row_count": 157,
+      "col_count": 36,
+      "has_header": false,
+      "title_hint": "Sheet3",
+      "header_info": null
+    },
+    {
+      "name": "Sheet1",
+      "used_range": "A1:AH153",
+      "row_count": 153,
+      "col_count": 34,
+      "has_header": false,
+      "title_hint": "Sheet1",
+      "header_info": null
+    },
+    {
+      "name": "Sheet 2",
+      "used_range": "A1:AH149",
+      "row_count": 149,
+      "col_count": 34,
+      "has_header": false,
+      "title_hint": "Sheet 2",
+      "header_info": null
+    }
+  ]
+}

FormulaCascade_Benchmark_eval_200/T1_FRONTIER/internal/FCB-00454/audit.json

@@ -0,0 +1,444 @@
+{
+  "gate": {
+    "pre_nl_gate": {
+      "gate_label": "GATE_PASS",
+      "gate_pass": true,
+      "hard_fails": 0,
+      "warns": 0,
+      "checks": [
+        {
+          "check": "final_target_gate",
+          "pass": true,
+          "detail": "final_target has 200 cells"
+        },
+        {
+          "check": "header_grounding",
+          "pass": true,
+          "severity": "pass",
+          "detail": "1/1 final regions have column_header"
+        },
+        {
+          "check": "mask_consistency",
+          "pass": true,
+          "detail": "mask_last=61436B, src=92603B"
+        },
+        {
+          "check": "dirty_family",
+          "pass": true,
+          "detail": "0 dirty cells"
+        },
+        {
+          "check": "ratio_gate",
+          "pass": true,
+          "detail": "ratio=1.1 (total=213, final=200)"
+        },
+        {
+          "check": "dedup_gate",
+          "pass": true,
+          "detail": "0 duplicate cells across layers"
+        },
+        {
+          "check": "gt_uniqueness",
+          "pass": true,
+          "detail": "211 unique values across 213 cells"
+        },
+        {
+          "check": "tail_artifact",
+          "pass": true,
+          "detail": "0 bad values"
+        },
+        {
+          "check": "unrecoverable_leaf",
+          "pass": true,
+          "detail": "clean",
+          "hidden_const_cells": []
+        },
+        {
+          "check": "adjacent_column_leak",
+          "pass": true,
+          "detail": "clean"
+        },
+        {
+          "check": "header_name_accuracy",
+          "pass": true,
+          "detail": "clean"
+        },
+        {
+          "check": "duplicate_lookup_tie_break",
+          "pass": true,
+          "detail": "no lookup formulas"
+        },
+        {
+          "check": "src_chain_integrity",
+          "pass": true,
+          "severity": "ok",
+          "detail": "clean",
+          "sub_checks": {
+            "error_cells": {
+              "pass": true,
+              "count": 0,
+              "cells": []
+            },
+            "external_refs": {
+              "pass": true,
+              "count": 0,
+              "cells": []
+            },
+            "volatile_funcs": {
+              "pass": true,
+              "count": 0,
+              "cells": []
+            },
+            "missing_sheets": {
+              "pass": true,
+              "count": 0,
+              "sheets": []
+            },
+            "circular_refs": {
+              "pass": true,
+              "cycle_cells": []
+            }
+          }
+        },
+        {
+          "check": "uniqueness_deep",
+          "pass": true,
+          "severity": "ok",
+          "detail": "clean"
+        }
+      ]
+    },
+    "post_nl_validate": {
+      "validate_label": "SOFT_WARN",
+      "validate_pass": true,
+      "hard_fails": 0,
+      "soft_warns": 1,
+      "checks": [
+        {
+          "check": "cell_range_match",
+          "pass": false,
+          "detail": "contract=4, prompt=1, missing=3",
+          "missing_ranges": [
+            "D6:D9",
+            "E5:E9",
+            "F6:F9"
+          ],
+          "severity": "SOFT_WARN"
+        },
+        {
+          "check": "cell_count_match",
+          "pass": true,
+          "detail": "no explicit total found; skipping (natural format)",
+          "severity": "OK"
+        },
+        {
+          "check": "step_count_match",
+          "pass": true,
+          "detail": "contract=3, no explicit steps found (v5 natural format)",
+          "severity": "OK"
+        },
+        {
+          "check": "sheet_name_match",
+          "pass": true,
+          "detail": "contract=['Sheet 2'], missing=[]",
+          "severity": "OK"
+        },
+        {
+          "check": "no_formula_leak",
+          "pass": true,
+          "detail": "0 formula leaks",
+          "severity": "OK"
+        },
+        {
+          "check": "no_value_leak",
+          "pass": true,
+          "detail": "0 value leaks out of 200 GT cells",
+          "severity": "OK"
+        },
+        {
+          "check": "final_target_first",
+          "pass": true,
+          "detail": "no explicit final target marker (natural format)",
+          "severity": "OK"
+        },
+        {
+          "check": "output_format",
+          "pass": true,
+          "detail": "output format found",
+          "severity": "OK"
+        },
+        {
+          "check": "header_in_prompt",
+          "pass": true,
+          "detail": "no column headers found in prompt",
+          "severity": "OK"
+        },
+        {
+          "check": "hint_specificity",
+          "pass": true,
+          "detail": "clean",
+          "severity": "OK"
+        },
+        {
+          "check": "evidence_scope",
+          "pass": true,
+          "detail": "no cross-sheet refs in GT",
+          "severity": "OK"
+        },
+        {
+          "check": "exemplar_consistency",
+          "pass": true,
+          "severity": "OK",
+          "detail": "checked 4 col groups"
+        },
+        {
+          "check": "nl_gt_operation_consistency",
+          "pass": true,
+          "detail": "GT funcs: []",
+          "severity": "OK"
+        },
+        {
+          "check": "unmatched_default_rule",
+          "pass": true,
+          "detail": "no default-rule phrase found in NL",
+          "severity": "OK"
+        },
+        {
+          "check": "volatile_function_freeze",
+          "pass": true,
+          "detail": "volatile_cells=0",
+          "severity": "OK"
+        },
+        {
+          "check": "direct_answer_leakage",
+          "pass": true,
+          "detail": "0 leaks out of 213 GT cells (0%)",
+          "severity": "OK"
+        }
+      ]
+    },
+    "pre_nl_local": {
+      "local_total": 58,
+      "local_label": "PENDING_NL",
+      "hard_fail_flags": [],
+      "warnings": [
+        "release_verdict_not_keep",
+        "nl_missing"
+      ],
+      "local_subscores": {
+        "family_clean": 25,
+        "target_integrity": 15,
+        "taxonomy": 10,
+        "semantic_signal": 8,
+        "nl_schema": 0,
+        "target_alignment": 0,
+        "business_specificity": 0,
+        "nl_risk": 0
+      }
+    }
+  },
+  "verify": {
+    "uniqueness": {
+      "total_gt_cells": 213,
+      "total_non_none": 213,
+      "block_reasons": [],
+      "warnings": [
+        "mixed_gt_types:{'float': 209, 'int': 4}"
+      ],
+      "checks": {
+        "rank_tie_risk": {
+          "rank_cells": 0,
+          "tie_issues": 0,
+          "details": []
+        },
+        "trivial_gt": {
+          "issues": []
+        },
+        "gt_type_consistency": {
+          "types": {
+            "float": 209,
+            "int": 4
+          },
+          "mixed": true
+        },
+        "empty_gt": {
+          "count": 0,
+          "details": []
+        }
+      }
+    },
+    "src_chain": {
+      "hard_block": false,
+      "block_reasons": [],
+      "checks": {
+        "error_cells": {
+          "pass": true,
+          "count": 0,
+          "cells": []
+        },
+        "external_refs": {
+          "pass": true,
+          "count": 0,
+          "cells": []
+        },
+        "volatile_funcs": {
+          "pass": true,
+          "count": 0,
+          "cells": []
+        },
+        "missing_sheets": {
+          "pass": true,
+          "count": 0,
+          "sheets": []
+        },
+        "circular_refs": {
+          "pass": true,
+          "cycle_cells": []
+        }
+      },
+      "required_chain_scope": {
+        "external_ref_in_required_chain": 0,
+        "external_ref_in_other": 0,
+        "error_cells_in_required_chain": 0,
+        "error_cells_in_other": 0,
+        "required_chain_cells": 213
+      }
+    },
+    "solver_visibility": {
+      "contract_cells": 213,
+      "total_masked": 213,
+      "total_visible": 4314,
+      "depth": 4,
+      "block_reasons": [],
+      "warnings": [],
+      "checks": {
+        "broken_chains": {
+          "count": 0,
+          "checked": 213,
+          "details": []
+        },
+        "orphan_masks": {
+          "count": 0,
+          "details": []
+        },
+        "self_contained": {
+          "missing_sheets": []
+        }
+      }
+    },
+    "exemplar": {
+      "soft_block": true,
+      "block_reasons": [
+        "zero_exemplar:4_patterns"
+      ],
+      "checks": {
+        "pattern_coverage": {
+          "pass": false,
+          "total_gt_patterns": 5,
+          "total_src_patterns": 10,
+          "zero_exemplar_count": 4,
+          "low_exemplar_count": 0
+        },
+        "zero_exemplar_patterns": {
+          "pass": false,
+          "patterns": [
+            {
+              "pattern": "=0.14*(REF+REF)/2",
+              "total_in_src": 1,
+              "sample_formula": "=0.14*(B5+B6)/2"
+            },
+            {
+              "pattern": "=2*(REF+REF)/2",
+              "total_in_src": 3,
+              "sample_formula": "=2*(B6+B7)/2"
+            },
+            {
+              "pattern": "=REF/27",
+              "total_in_src": 5,
+              "sample_formula": "=D5/27"
+            },
+            {
+              "pattern": "=REF+REF",
+              "total_in_src": 4,
+              "sample_formula": "=F5+E6"
+            }
+          ]
+        },
+        "low_exemplar_patterns": {
+          "pass": true,
+          "patterns": []
+        },
+        "func_coverage": {
+          "arithmetic": {
+            "total_masked": 213,
+            "visible_exemplars": 1867
+          }
+        }
+      }
+    },
+    "shortcut": {
+      "shortcut_risk": 0.5,
+      "flags": [
+        {
+          "code": "SC2",
+          "description": "Arithmetic sequence in Sheet 2!I: step=23.200185185164173",
+          "affected_cells": 200,
+          "severity": "medium"
+        }
+      ]
+    },
+    "release_audit": {
+      "surface_single_sheet": true,
+      "surface_sheets": [
+        "Sheet 2"
+      ],
+      "cross_sheet_actual": false,
+      "cross_sheet_ref_count": 0,
+      "referenced_sheets": [],
+      "target_shape": "single_column_series",
+      "layer_sizes": [
+        200,
+        4,
+        5,
+        4
+      ],
+      "mask_last_total_cells": 213,
+      "layer_growth_ratios": [
+        0.02,
+        1.25,
+        0.8
+      ],
+      "pattern_dominance_ratio": 0.939,
+      "visible_clone_regions": 0,
+      "nearby_visible_clone_regions": 0,
+      "nearby_visible_clone_rows": 0,
+      "nearby_visible_clone_ratio": 0.0,
+      "promptability_score": 0.75,
+      "release_reasons": [
+        "pattern_dominance_extreme"
+      ],
+      "release_verdict": "REVISION_POOL"
+    }
+  },
+  "difficulty": {
+    "task_id": "single_sheet__dag_f09bf94732cd",
+    "difficulty_score": 66.2,
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+            538,
+            539,
+            540,
+            541,
+            542,
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+            560,
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+            562,
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+            564,
+            565,
+            566,
+            567,
+            568,
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+            573,
+            574,
+            575,
+            576,
+            577,
+            578,
+            579,
+            580,
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+            586,
+            587,
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+            608,
+            609,
+            610,
+            611,
+            612,
+            613,
+            614,
+            615,
+            616,
+            617
+          ],
+          "row_ranges": "418-617",
+          "row_count": 200,
+          "pattern_id": "pf_0006",
+          "normalized_pattern": "=(([C-1,R]-[$A,$8])/([$A,$9]-[$A,$8])*([$F,$9]-[$F,$8]))+[$F,$8]",
+          "sample_formula": "=((H418-$A$8)/($A$9-$A$8)*($F$9-$F$8))+$F$8"
+        }
+      ],
+      "new_eval_cells": 200,
+      "total_masked_cells": 200
+    },
+    {
+      "layer_index": 2,
+      "new_pattern_groups": [
+        {
+          "region_ids": [
+            "rg_00012"
+          ],
+          "sheet": "Sheet 2",
+          "col": "F",
+          "rows": [
+            6,
+            7,
+            8,
+            9
+          ],
+          "row_ranges": "6-9",
+          "row_count": 4,
+          "pattern_id": "pf_0012",
+          "normalized_pattern": "=[C,R-1]+[C-1,R]",
+          "sample_formula": "=F5+E6"
+        }
+      ],
+      "new_eval_cells": 4,
+      "total_masked_cells": 204
+    },
+    {
+      "layer_index": 3,
+      "new_pattern_groups": [
+        {
+          "region_ids": [
+            "rg_00010"
+          ],
+          "sheet": "Sheet 2",
+          "col": "E",
+          "rows": [
+            5,
+            6,
+            7,
+            8,
+            9
+          ],
+          "row_ranges": "5-9",
+          "row_count": 5,
+          "pattern_id": "pf_0010",
+          "normalized_pattern": "=[C-1,R]/27",
+          "sample_formula": "=D5/27"
+        }
+      ],
+      "new_eval_cells": 5,
+      "total_masked_cells": 209
+    },
+    {
+      "layer_index": 4,
+      "new_pattern_groups": [
+        {
+          "region_ids": [
+            "rg_00013"
+          ],
+          "sheet": "Sheet 2",
+          "col": "D",
+          "rows": [
+            7,
+            8,
+            9
+          ],
+          "row_ranges": "7-9",
+          "row_count": 3,
+          "pattern_id": "pf_0013",
+          "normalized_pattern": "=2*([C-2,R-1]+[C-2,R])/2",
+          "sample_formula": "=2*(B6+B7)/2"
+        },
+        {
+          "region_ids": [
+            "rg_00014"
+          ],
+          "sheet": "Sheet 2",
+          "col": "D",
+          "rows": [
+            6
+          ],
+          "row_ranges": "6",
+          "row_count": 1,
+          "pattern_id": "pf_0014",
+          "normalized_pattern": "=0.14*([C-2,R-1]+[C-2,R])/2",
+          "sample_formula": "=0.14*(B5+B6)/2"
+        }
+      ],
+      "new_eval_cells": 4,
+      "total_masked_cells": 213
+    }
+  ],
+  "sink": {
+    "region_id": "rg_00006",
+    "sheet": "Sheet 2",
+    "col": "I",
+    "pattern_id": "pf_0006",
+    "row_count": 200,
+    "family_size": 200
+  }
+}

FormulaCascade_Benchmark_eval_200/T1_FRONTIER/internal/FCB-00454/nl_task.json

@@ -0,0 +1,26 @@
+{
+  "task_id": "single_sheet__dag_f09bf94732cd",
+  "prompt_en": "The Basin #1 Storage-Elevation Data section on Sheet 2 is nearly filled out, with columns such as Elevation, ft, Area, sq.ft., Area, AC, 1-ft. storage, and Storage, cu. [Person_2]. alongside the time, elevation, volume, Qin(cfs), [Person_1] (gpm), and Qout (gpm) information earlier on the sheet. Please fill in the missing entries in the Storage, cu. [Person_2]. column, specifically the blank cells in I418:I617. Some of the surrounding storage-related columns naturally need to be in place before this column is meaningful, so keep the visible table structure and existing entries in mind while completing it. Save the completed workbook as an .xlsx file.",
+  "prompt_cn": "Sheet 2 上的 Basin #1 Storage-Elevation Data 区域基本已经整理好了，表里有 Elevation, ft、Area, sq.ft.、Area, AC、1-ft. storage 和 Storage, cu. [Person_2]. 等列，前面还包含 Time (min)、Elevation、Volume、Qin(cfs)、[Person_1] (gpm) 和 Qout (gpm) 这些信息。请把 Storage, cu. [Person_2]. 这一列中缺失的内容补齐，具体是 I418:I617 的空白单元格。周围一些与 storage 相关的列需要先对应完整后，这一列才有意义，所以请结合表格中可见的结构和已有记录来完成。完成后请将工作簿保存为 .xlsx 文件。",
+  "quality_notes": "The prompt is minimal and scenario-focused, names the relevant sheet, headers, and target range, and avoids formulas or operational hints. It mentions the natural dependency context without spelling out any calculation method.",
+  "post_check_issues": [],
+  "prompt_mode": "minimal",
+  "hint_leakage": {
+    "score": 4,
+    "level": "low",
+    "max_possible": 100,
+    "dimensions": {
+      "operation_words": 0,
+      "cell_range_density": 4,
+      "step_by_step": 0,
+      "column_operation_mapping": 0,
+      "formula_pattern_hints": 0
+    },
+    "operation_words_found": [],
+    "cell_ranges_found": 1
+  },
+  "version": "v7",
+  "model": "gpt-5.5",
+  "elapsed": 12.5,
+  "attempt": 1
+}

FormulaCascade_Benchmark_eval_200/T1_FRONTIER/internal/FCB-00454/release_qc.json

@@ -0,0 +1,58 @@
+{
+  "binary": true,
+  "binary_reason": "CORRECT — the mask is clean, cells are real, GT is consistent, and the dependency chain is hard but reconstructible from visible structure and context.",
+  "D1": {
+    "score": 5,
+    "reason": "All 213 contract cells are truly masked, with no phantoms and no extra masked cells. The masked ranges are within the actual Sheet 2 dimensions. Visible formulas/values provide structural clues, but the final target is not trivially copyable because the solver must infer the next interpolation interval and reconstruct F9 through the D/E/F storage chain."
+  },
+  "D2": {
+    "score": 5,
+    "reason": "The GT formulas for I418:I617 consistently perform linear interpolation between A8/A9 and F8/F9, matching the elevation range 2038.01 through 2040. The cached values are consistent with the prerequisite storage calculations and deterministic formulas."
+  },
+  "D3": {
+    "score": 4,
+    "reason": "The NL clearly identifies the final target range I418:I617 and the relevant Storage, cu. column. It also hints that surrounding storage-related columns must be considered, but it does not explicitly name the masked prerequisite ranges D6:F9, which makes the chain requirement somewhat implicit."
+  },
+  "D4": {
+    "score": 4,
+    "reason": "From mask_last.xlsx and the NL alone, the task is solvable with effort. The visible elevation/storage interpolation pattern in column I before row 418 gives the structure for the final formulas, while the visible storage-elevation table headers and A/B values provide the basis for reconstructing the D/E/F storage chain. The solver must infer the trapezoidal storage increments, divide-by-27 conversion, cumulative total storage, and the switch from the A7:A8 interval to A8:A9. This is nontrivial but the root evidence is present.",
+    "d4_type": "ok"
+  },
+  "D5": {
+    "score": 5,
+    "reason": "The source spreadsheet appears internally sound: formulas are coherent, headers are meaningful, there are no indicated circular references or broken formulas, and the storage-elevation data is consistent with the visible calculations."
+  },
+  "D6": {
+    "score": 5,
+    "reason": "The NL reads like a natural workplace request, avoids benchmark jargon, and gives a realistic description of the workbook section and desired completion."
+  },
+  "total": 28,
+  "verdict": "RELEASE",
+  "verdict_reason": "High-quality hard chain-masking task. The prerequisite masking is intentional and clean, GT is correct, and sufficient visible evidence exists for a capable solver to reconstruct the chain.",
+  "frontier_hardness": {
+    "score": 4,
+    "reason": "This is a hard task because the solver must reconstruct a multi-step dependency chain across D/E/F before filling 200 final interpolation formulas in I. The final formulas are structurally hinted by visible exemplars, but the required F9 endpoint is masked and must be derived through the storage table.",
+    "fail_reason": "deep_chain",
+    "is_valid_hardness": true
+  },
+  "_prompt_chars": 64377,
+  "_timing_load_workbooks": 0.28,
+  "_timing_context": 0.05,
+  "_timing_api": 220.46,
+  "local_difficulty": {
+    "difficulty_score": 66.2,
+    "difficulty": "hard",
+    "depth": 4,
+    "total_masked": 213,
+    "is_cross_sheet": false,
+    "unique_patterns": 5,
+    "avg_complexity": 8,
+    "cross_refs": 0,
+    "visible_exemplar_ratio": 0.675
+  },
+  "task_id": "single_sheet__dag_f09bf94732cd",
+  "elapsed": 220.8,
+  "publish_decision": "YES",
+  "release_tier": "FRONTIER_HARD",
+  "hard_block_reasons": []
+}

FormulaCascade_Benchmark_eval_200/T1_FRONTIER/internal/FCB-00454/target_contract.json

@@ -0,0 +1,296 @@
+{
+  "task_id": "single_sheet__dag_f09bf94732cd",
+  "category": "single_sheet",
+  "depth": 4,
+  "final_target": {
+    "regions": [
+      {
+        "sheet": "Sheet 2",
+        "column": "I",
+        "column_header": "Storage, cu. [Person_2].",
+        "cell_range": "I418:I617",
+        "cell_count": 200,
+        "rows": [
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+          419,
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+        ],
+        "first_row_label": "",
+        "last_row_label": ""
+      }
+    ],
+    "cell_count": 200,
+    "formula_families": [
+      "arithmetic"
+    ]
+  },
+  "prerequisite_steps": [
+    {
+      "layer": 4,
+      "regions": [
+        {
+          "sheet": "Sheet 2",
+          "column": "D",
+          "column_header": "1-ft. storage, [Person_3].",
+          "cell_range": "D6:D9",
+          "cell_count": 4,
+          "rows": [
+            6,
+            7,
+            8,
+            9
+          ],
+          "first_row_label": "",
+          "last_row_label": ""
+        }
+      ],
+      "cell_count": 4
+    },
+    {
+      "layer": 3,
+      "regions": [
+        {
+          "sheet": "Sheet 2",
+          "column": "E",
+          "column_header": "1-ft. storage, [Person_4].",
+          "cell_range": "E5:E9",
+          "cell_count": 5,
+          "rows": [
+            5,
+            6,
+            7,
+            8,
+            9
+          ],
+          "first_row_label": "",
+          "last_row_label": ""
+        }
+      ],
+      "cell_count": 5
+    },
+    {
+      "layer": 2,
+      "regions": [
+        {
+          "sheet": "Sheet 2",
+          "column": "F",
+          "column_header": "Total storage, [Person_4].",
+          "cell_range": "F6:F9",
+          "cell_count": 4,
+          "rows": [
+            6,
+            7,
+            8,
+            9
+          ],
+          "first_row_label": "",
+          "last_row_label": ""
+        }
+      ],
+      "cell_count": 4
+    }
+  ],
+  "total_prerequisite_cells": 13,
+  "total_masked_cells": 213,
+  "ratio_total_vs_final": 1.1,
+  "sheets_involved": [
+    "Sheet 2"
+  ]
+}

FormulaCascade_Benchmark_eval_200/T1_FRONTIER/internal/FCB-00454/task_meta.json

@@ -0,0 +1,46 @@
+{
+  "fcb_id": "FCB-00454",
+  "task_id": "single_sheet__dag_f09bf94732cd",
+  "tier": "T1_FRONTIER",
+  "category": "single_sheet",
+  "depth": 4,
+  "total_masked": 213,
+  "is_cross_sheet": false,
+  "prompt_en": "The Basin #1 Storage-Elevation Data section on Sheet 2 is nearly filled out, with columns such as Elevation, ft, Area, sq.ft., Area, AC, 1-ft. storage, and Storage, cu. [Person_2]. alongside the time, elevation, volume, Qin(cfs), [Person_1] (gpm), and Qout (gpm) information earlier on the sheet. Please fill in the missing entries in the Storage, cu. [Person_2]. column, specifically the blank cells in I418:I617. Some of the surrounding storage-related columns naturally need to be in place before this column is meaningful, so keep the visible table structure and existing entries in mind while completing it. Save the completed workbook as an .xlsx file.",
+  "prompt_cn": "Sheet 2 上的 Basin #1 Storage-Elevation Data 区域基本已经整理好了，表里有 Elevation, ft、Area, sq.ft.、Area, AC、1-ft. storage 和 Storage, cu. [Person_2]. 等列，前面还包含 Time (min)、Elevation、Volume、Qin(cfs)、[Person_1] (gpm) 和 Qout (gpm) 这些信息。请把 Storage, cu. [Person_2]. 这一列中缺失的内容补齐，具体是 I418:I617 的空白单元格。周围一些与 storage 相关的列需要先对应完整后，这一列才有意义，所以请结合表格中可见的结构和已有记录来完成。完成后请将工作簿保存为 .xlsx 文件。",
+  "qc": {
+    "total": 28,
+    "verdict": "RELEASE",
+    "D1": 5,
+    "D2": 5,
+    "D3": 4,
+    "D4": 4,
+    "D5": 5,
+    "D6": 5,
+    "frontier_hardness": 4,
+    "local_difficulty": 66.2
+  },
+  "source_file_id": "84999d1285079752-excel-if-scs-runoff2yr",
+  "inferred_domain": "general",
+  "domain_confidence": 0.0,
+  "sheet_profiles": [
+    {
+      "name": "Sheet 1",
+      "used_range": "A1:R806",
+      "row_count": 806,
+      "col_count": 18,
+      "has_header": false,
+      "title_hint": "Sheet 1",
+      "header_info": null
+    },
+    {
+      "name": "Sheet 2",
+      "used_range": "A1:I617",
+      "row_count": 617,
+      "col_count": 9,
+      "has_header": false,
+      "title_hint": "Sheet 2",
+      "header_info": null
+    }
+  ]
+}

FormulaCascade_Benchmark_eval_200/T1_FRONTIER/internal/FCB-00500/audit.json

@@ -0,0 +1,578 @@
+{
+  "gate": {
+    "pre_nl_gate": {
+      "gate_label": "GATE_PASS",
+      "gate_pass": true,
+      "hard_fails": 0,
+      "warns": 0,
+      "checks": [
+        {
+          "check": "final_target_gate",
+          "pass": true,
+          "detail": "final_target has 12 cells"
+        },
+        {
+          "check": "header_grounding",
+          "pass": true,
+          "severity": "pass",
+          "detail": "1/1 final regions have column_header"
+        },
+        {
+          "check": "mask_consistency",
+          "pass": true,
+          "detail": "mask_last=10442B, src=16581B"
+        },
+        {
+          "check": "dirty_family",
+          "pass": true,
+          "detail": "0 dirty cells"
+        },
+        {
+          "check": "ratio_gate",
+          "pass": true,
+          "detail": "ratio=7.7 (total=92, final=12)"
+        },
+        {
+          "check": "dedup_gate",
+          "pass": true,
+          "detail": "0 duplicate cells across layers"
+        },
+        {
+          "check": "gt_uniqueness",
+          "pass": true,
+          "detail": "9 unique values across 92 cells [WARN: low_discrimination layer_3_ground_truth: 32/36=89%]"
+        },
+        {
+          "check": "tail_artifact",
+          "pass": true,
+          "detail": "0 bad values"
+        },
+        {
+          "check": "unrecoverable_leaf",
+          "pass": true,
+          "detail": "clean",
+          "hidden_const_cells": []
+        },
+        {
+          "check": "adjacent_column_leak",
+          "pass": true,
+          "detail": "leaked: New Hire 1!E→D(10/12), New Hire 1!H→G(10/12), New Hire 1!K→J(12/12)"
+        },
+        {
+          "check": "header_name_accuracy",
+          "pass": true,
+          "detail": "clean"
+        },
+        {
+          "check": "duplicate_lookup_tie_break",
+          "pass": true,
+          "detail": "no lookup formulas"
+        },
+        {
+          "check": "src_chain_integrity",
+          "pass": true,
+          "severity": "ok",
+          "detail": "clean",
+          "sub_checks": {
+            "error_cells": {
+              "pass": true,
+              "count": 0,
+              "cells": []
+            },
+            "external_refs": {
+              "pass": true,
+              "count": 0,
+              "cells": []
+            },
+            "volatile_funcs": {
+              "pass": true,
+              "count": 0,
+              "cells": []
+            },
+            "missing_sheets": {
+              "pass": true,
+              "count": 0,
+              "sheets": []
+            },
+            "circular_refs": {
+              "pass": true,
+              "cycle_cells": []
+            }
+          }
+        },
+        {
+          "check": "uniqueness_deep",
+          "pass": true,
+          "severity": "ok",
+          "detail": "clean"
+        }
+      ]
+    },
+    "post_nl_validate": {
+      "validate_label": "SOFT_WARN",
+      "validate_pass": true,
+      "hard_fails": 0,
+      "soft_warns": 2,
+      "checks": [
+        {
+          "check": "cell_range_match",
+          "pass": false,
+          "detail": "contract=8, prompt=1, missing=5",
+          "missing_ranges": [
+            "G21:G32",
+            "J21:J32",
+            "M21:M32",
+            "M6:M13",
+            "N21:N32"
+          ],
+          "severity": "SOFT_WARN"
+        },
+        {
+          "check": "cell_count_match",
+          "pass": true,
+          "detail": "no explicit total found; skipping (natural format)",
+          "severity": "OK"
+        },
+        {
+          "check": "step_count_match",
+          "pass": true,
+          "detail": "contract=3, no explicit steps found (v5 natural format)",
+          "severity": "OK"
+        },
+        {
+          "check": "sheet_name_match",
+          "pass": true,
+          "detail": "contract=['New Hire 1'], missing=[]",
+          "severity": "OK"
+        },
+        {
+          "check": "no_formula_leak",
+          "pass": true,
+          "detail": "0 formula leaks",
+          "severity": "OK"
+        },
+        {
+          "check": "no_value_leak",
+          "pass": true,
+          "detail": "0 value leaks out of 12 GT cells",
+          "severity": "OK"
+        },
+        {
+          "check": "final_target_first",
+          "pass": true,
+          "detail": "no explicit final target marker (natural format)",
+          "severity": "OK"
+        },
+        {
+          "check": "output_format",
+          "pass": true,
+          "detail": "output format found",
+          "severity": "OK"
+        },
+        {
+          "check": "header_in_prompt",
+          "pass": true,
+          "detail": "no column headers found in prompt",
+          "severity": "OK"
+        },
+        {
+          "check": "hint_specificity",
+          "pass": true,
+          "detail": "clean",
+          "severity": "OK"
+        },
+        {
+          "check": "evidence_scope",
+          "pass": true,
+          "detail": "no cross-sheet refs in GT",
+          "severity": "OK"
+        },
+        {
+          "check": "exemplar_consistency",
+          "pass": true,
+          "severity": "OK",
+          "detail": "checked 7 col groups; CONFLICTS: New Hire 1!M14: visible='=SUM(M6:M13)' vs GT pattern='=G#'; New Hire 1!D33: visible='=SUM(D21:D32)' vs GT pattern='=SUMIFS($M$#:$M$#,$A$#:$A$#,\"I'"
+        },
+        {
+          "check": "nl_gt_operation_consistency",
+          "pass": false,
+          "detail": "GT funcs: ['SUM', 'SUMIFS']; MISMATCHES: GT uses SUMIFS but NL doesn't mention any of: condition, criteria, meet, multiple",
+          "severity": "SOFT_WARN"
+        },
+        {
+          "check": "unmatched_default_rule",
+          "pass": true,
+          "detail": "no default-rule phrase found in NL",
+          "severity": "OK"
+        },
+        {
+          "check": "volatile_function_freeze",
+          "pass": true,
+          "detail": "volatile_cells=0",
+          "severity": "OK"
+        },
+        {
+          "check": "direct_answer_leakage",
+          "pass": true,
+          "detail": "0 leaks out of 92 GT cells (0%)",
+          "severity": "OK"
+        }
+      ]
+    },
+    "pre_nl_local": {
+      "local_total": 58,
+      "local_label": "PENDING_NL",
+      "hard_fail_flags": [],
+      "warnings": [
+        "nl_missing"
+      ],
+      "local_subscores": {
+        "family_clean": 25,
+        "target_integrity": 15,
+        "taxonomy": 10,
+        "semantic_signal": 8,
+        "nl_schema": 0,
+        "target_alignment": 0,
+        "business_specificity": 0,
+        "nl_risk": 0
+      }
+    }
+  },
+  "verify": {
+    "uniqueness": {
+      "total_gt_cells": 92,
+      "total_non_none": 92,
+      "block_reasons": [],
+      "warnings": [],
+      "checks": {
+        "rank_tie_risk": {
+          "rank_cells": 0,
+          "tie_issues": 0,
+          "details": []
+        },
+        "trivial_gt": {
+          "issues": []
+        },
+        "gt_type_consistency": {
+          "types": {
+            "int": 92
+          },
+          "mixed": false
+        },
+        "empty_gt": {
+          "count": 0,
+          "details": []
+        }
+      }
+    },
+    "src_chain": {
+      "hard_block": false,
+      "block_reasons": [],
+      "checks": {
+        "error_cells": {
+          "pass": true,
+          "count": 0,
+          "cells": []
+        },
+        "external_refs": {
+          "pass": true,
+          "count": 0,
+          "cells": []
+        },
+        "volatile_funcs": {
+          "pass": true,
+          "count": 0,
+          "cells": []
+        },
+        "missing_sheets": {
+          "pass": true,
+          "count": 0,
+          "sheets": []
+        },
+        "circular_refs": {
+          "pass": true,
+          "cycle_cells": []
+        }
+      },
+      "required_chain_scope": {
+        "external_ref_in_required_chain": 0,
+        "external_ref_in_other": 0,
+        "error_cells_in_required_chain": 0,
+        "error_cells_in_other": 0,
+        "required_chain_cells": 92
+      }
+    },
+    "solver_visibility": {
+      "contract_cells": 92,
+      "total_masked": 92,
+      "total_visible": 96,
+      "depth": 4,
+      "block_reasons": [
+        "broken_chains:39/92=42.4%"
+      ],
+      "warnings": [],
+      "checks": {
+        "broken_chains": {
+          "count": 39,
+          "checked": 92,
+          "details": [
+            {
+              "cell": "New Hire 1!D22",
+              "missing_dep": "New Hire 1!A11",
+              "formula": "=SUMIFS($M$6:$M$13,$A$6:$A$13,\"IT\",$B$6:$B$13,\"Nov\")"
+            },
+            {
+              "cell": "New Hire 1!M12",
+              "missing_dep": "New Hire 1!J12",
+              "formula": "=J12*L12*K12"
+            },
+            {
+              "cell": "New Hire 1!G31",
+              "missing_dep": "New Hire 1!A11",
+              "formula": "=SUMIFS($M$6:$M$13,$A$6:$A$13,\"AF\",$B$6:$B$13,\"Feb\")"
+            },
+            {
+              "cell": "New Hire 1!G24",
+              "missing_dep": "New Hire 1!A11",
+              "formula": "=SUMIFS($M$6:$M$13,$A$6:$A$13,\"AF\",$B$6:$B$13,\"Sep\")"
+            },
+            {
+              "cell": "New Hire 1!G26",
+              "missing_dep": "New Hire 1!A11",
+              "formula": "=SUMIFS($M$6:$M$13,$A$6:$A$13,\"AF\",$B$6:$B$13,\"Jul\")"
+            },
+            {
+              "cell": "New Hire 1!J26",
+              "missing_dep": "New Hire 1!A11",
+              "formula": "=SUMIFS($M$6:$M$13,$A$6:$A$13,\"FS\",$B$6:$B$13,\"Jul\")"
+            },
+            {
+              "cell": "New Hire 1!D31",
+              "missing_dep": "New Hire 1!A11",
+              "formula": "=SUMIFS($M$6:$M$13,$A$6:$A$13,\"IT\",$B$6:$B$13,\"Feb\")"
+            },
+            {
+              "cell": "New Hire 1!G28",
+              "missing_dep": "New Hire 1!A11",
+              "formula": "=SUMIFS($M$6:$M$13,$A$6:$A$13,\"AF\",$B$6:$B$13,\"May\")"
+            },
+            {
+              "cell": "New Hire 1!D24",
+              "missing_dep": "New Hire 1!A11",
+              "formula": "=SUMIFS($M$6:$M$13,$A$6:$A$13,\"IT\",$B$6:$B$13,\"Sep\")"
+            },
+            {
+              "cell": "New Hire 1!M11",
+              "missing_dep": "New Hire 1!J11",
+              "formula": "=J11*L11*K11"
+            },
+            {
+              "cell": "New Hire 1!J28",
+              "missing_dep": "New Hire 1!A11",
+              "formula": "=SUMIFS($M$6:$M$13,$A$6:$A$13,\"FS\",$B$6:$B$13,\"May\")"
+            },
+            {
+              "cell": "New Hire 1!G21",
+              "missing_dep": "New Hire 1!A11",
+              "formula": "=SUMIFS($M$6:$M$13,$A$6:$A$13,\"AF\",$B$6:$B$13,\"Dec\")"
+            },
+            {
+              "cell": "New Hire 1!G30",
+              "missing_dep": "New Hire 1!A11",
+              "formula": "=SUMIFS($M$6:$M$13,$A$6:$A$13,\"AF\",$B$6:$B$13,\"Mar\")"
+            },
+            {
+              "cell": "New Hire 1!J21",
+              "missing_dep": "New Hire 1!A11",
+              "formula": "=SUMIFS($M$6:$M$13,$A$6:$A$13,\"FS\",$B$6:$B$13,\"Dec\")"
+            },
+            {
+              "cell": "New Hire 1!D26",
+              "missing_dep": "New Hire 1!A11",
+              "formula": "=SUMIFS($M$6:$M$13,$A$6:$A$13,\"IT\",$B$6:$B$13,\"Jul\")"
+            },
+            {
+              "cell": "New Hire 1!M13",
+              "missing_dep": "New Hire 1!J13",
+              "formula": "=J13*L13*K13"
+            },
+            {
+              "cell": "New Hire 1!J30",
+              "missing_dep": "New Hire 1!A11",
+              "formula": "=SUMIFS($M$6:$M$13,$A$6:$A$13,\"FS\",$B$6:$B$13,\"Mar\")"
+            },
+            {
+              "cell": "New Hire 1!G23",
+              "missing_dep": "New Hire 1!A11",
+              "formula": "=SUMIFS($M$6:$M$13,$A$6:$A$13,\"AF\",$B$6:$B$13,\"Oct\")"
+            },
+            {
+              "cell": "New Hire 1!G32",
+              "missing_dep": "New Hire 1!A11",
+              "formula": "=SUMIFS($M$6:$M$13,$A$6:$A$13,\"AF\",$B$6:$B$13,\"Jan\")"
+            },
+            {
+              "cell": "New Hire 1!J23",
+              "missing_dep": "New Hire 1!A11",
+              "formula": "=SUMIFS($M$6:$M$13,$A$6:$A$13,\"FS\",$B$6:$B$13,\"Oct\")"
+            }
+          ]
+        },
+        "orphan_masks": {
+          "count": 0,
+          "details": []
+        },
+        "self_contained": {
+          "missing_sheets": []
+        }
+      }
+    },
+    "exemplar": {
+      "soft_block": true,
+      "block_reasons": [
+        "zero_exemplar:37_patterns"
+      ],
+      "checks": {
+        "pattern_coverage": {
+          "pass": false,
+          "total_gt_patterns": 40,
+          "total_src_patterns": 45,
+          "zero_exemplar_count": 37,
+          "low_exemplar_count": 0
+        },
+        "zero_exemplar_patterns": {
+          "pass": false,
+          "patterns": [
+            {
+              "pattern": "=SUMIFS(RANGE,RANGE,\"IT\",RANGE,\"MAY\")",
+              "total_in_src": 1,
+              "sample_formula": "=SUMIFS($M$6:$M$13,$A$6:$A$13,\"IT\",$B$6:$B$13,\"May\")"
+            },
+            {
+              "pattern": "=SUMIFS(RANGE,RANGE,\"IT\",RANGE,\"OCT\")",
+              "total_in_src": 1,
+              "sample_formula": "=SUMIFS($M$6:$M$13,$A$6:$A$13,\"IT\",$B$6:$B$13,\"Oct\")"
+            },
+            {
+              "pattern": "=SUMIFS(RANGE,RANGE,\"FS\",RANGE,\"MAR\")",
+              "total_in_src": 1,
+              "sample_formula": "=SUMIFS($M$6:$M$13,$A$6:$A$13,\"FS\",$B$6:$B$13,\"Mar\")"
+            },
+            {
+              "pattern": "=SUMIFS(RANGE,RANGE,\"AF\",RANGE,\"NOV\")",
+              "total_in_src": 1,
+              "sample_formula": "=SUMIFS($M$6:$M$13,$A$6:$A$13,\"AF\",$B$6:$B$13,\"Nov\")"
+            },
+            {
+              "pattern": "=SUMIFS(RANGE,RANGE,\"FS\",RANGE,\"SEP\")",
+              "total_in_src": 1,
+              "sample_formula": "=SUMIFS($M$6:$M$13,$A$6:$A$13,\"FS\",$B$6:$B$13,\"Sep\")"
+            },
+            {
+              "pattern": "=SUMIFS(RANGE,RANGE,\"FS\",RANGE,\"NOV\")",
+              "total_in_src": 1,
+              "sample_formula": "=SUMIFS($M$6:$M$13,$A$6:$A$13,\"FS\",$B$6:$B$13,\"Nov\")"
+            },
+            {
+              "pattern": "=SUMIFS(RANGE,RANGE,\"IT\",RANGE,\"MAR\")",
+              "total_in_src": 1,
+              "sample_formula": "=SUMIFS($M$6:$M$13,$A$6:$A$13,\"IT\",$B$6:$B$13,\"Mar\")"
+            },
+            {
+              "pattern": "=SUMIFS(RANGE,RANGE,\"FS\",RANGE,\"APR\")",
+              "total_in_src": 1,
+              "sample_formula": "=SUMIFS($M$6:$M$13,$A$6:$A$13,\"FS\",$B$6:$B$13,\"Apr\")"
+            },
+            {
+              "pattern": "=SUMIFS(RANGE,RANGE,\"AF\",RANGE,\"JUN\")",
+              "total_in_src": 1,
+              "sample_formula": "=SUMIFS($M$6:$M$13,$A$6:$A$13,\"AF\",$B$6:$B$13,\"Jun\")"
+            },
+            {
+              "pattern": "=SUMIFS(RANGE,RANGE,\"IT\",RANGE,\"NOV\")",
+              "total_in_src": 1,
+              "sample_formula": "=SUMIFS($M$6:$M$13,$A$6:$A$13,\"IT\",$B$6:$B$13,\"Nov\")"
+            }
+          ]
+        },
+        "low_exemplar_patterns": {
+          "pass": true,
+          "patterns": []
+        },
+        "func_coverage": {
+          "SUM": {
+            "total_masked": 12,
+            "visible_exemplars": 19
+          },
+          "reference": {
+            "total_masked": 3,
+            "visible_exemplars": 4
+          },
+          "SUMIFS": {
+            "total_masked": 36,
+            "visible_exemplars": 0
+          },
+          "arithmetic": {
+            "total_masked": 41,
+            "visible_exemplars": 72
+          }
+        }
+      }
+    },
+    "shortcut": {
+      "shortcut_risk": 0.0,
+      "flags": []
+    },
+    "release_audit": {
+      "surface_single_sheet": true,
+      "surface_sheets": [
+        "New Hire 1"
+      ],
+      "cross_sheet_actual": false,
+      "cross_sheet_ref_count": 0,
+      "referenced_sheets": [],
+      "target_shape": "single_column_series",
+      "layer_sizes": [
+        12,
+        36,
+        36,
+        8
+      ],
+      "mask_last_total_cells": 92,
+      "layer_growth_ratios": [
+        3.0,
+        1.0,
+        0.2222
+      ],
+      "pattern_dominance_ratio": 0.1304,
+      "visible_clone_regions": 0,
+      "nearby_visible_clone_regions": 0,
+      "nearby_visible_clone_rows": 0,
+      "nearby_visible_clone_ratio": 0.0,
+      "promptability_score": 1.0,
+      "release_reasons": [],
+      "release_verdict": "KEEP"
+    }
+  },
+  "difficulty": {
+    "task_id": "single_sheet__dag_2b6f13acd3c3",
+    "difficulty_score": 67.3,
+    "difficulty": "hard",
+    "depth": 4,
+    "total_masked": 92,
+    "is_cross_sheet": false,
+    "unique_patterns": 44,
+    "avg_complexity": 6.0,
+    "cross_refs": 0,
+    "visible_exemplar_ratio": 0.077,
+    "score_breakdown": {
+      "depth": 21,
+      "cross_sheet": 0,
+      "cell_count": 13.0,
+      "patterns": 15,
+      "complexity": 9.0,
+      "cross_refs": 0,
+      "vis_penalty": 9.2
+    }
+  }
+}

FormulaCascade_Benchmark_eval_200/T1_FRONTIER/internal/FCB-00500/ground_truth_full.json

@@ -0,0 +1,830 @@
+[
+  {
+    "sheet": "New Hire 1",
+    "col": "R",
+    "row": 21,
+    "formula": "=SUM(L21:N21)",
+    "cached_value": 6260,
+    "pattern_id": "pf_0008",
+    "layer": 1
+  },
+  {
+    "sheet": "New Hire 1",
+    "col": "R",
+    "row": 22,
+    "formula": "=SUM(L22:N22)",
+    "cached_value": 6260,
+    "pattern_id": "pf_0008",
+    "layer": 1
+  },
+  {
+    "sheet": "New Hire 1",
+    "col": "R",
+    "row": 23,
+    "formula": "=SUM(L23:N23)",
+    "cached_value": 6260,
+    "pattern_id": "pf_0008",
+    "layer": 1
+  },
+  {
+    "sheet": "New Hire 1",
+    "col": "R",
+    "row": 24,
+    "formula": "=SUM(L24:N24)",
+    "cached_value": 6260,
+    "pattern_id": "pf_0008",
+    "layer": 1
+  },
+  {
+    "sheet": "New Hire 1",
+    "col": "R",
+    "row": 25,
+    "formula": "=SUM(L25:N25)",
+    "cached_value": 6260,
+    "pattern_id": "pf_0008",
+    "layer": 1
+  },
+  {
+    "sheet": "New Hire 1",
+    "col": "R",
+    "row": 26,
+    "formula": "=SUM(L26:N26)",
+    "cached_value": 6260,
+    "pattern_id": "pf_0008",
+    "layer": 1
+  },
+  {
+    "sheet": "New Hire 1",
+    "col": "R",
+    "row": 27,
+    "formula": "=SUM(L27:N27)",
+    "cached_value": 6260,
+    "pattern_id": "pf_0008",
+    "layer": 1
+  },
+  {
+    "sheet": "New Hire 1",
+    "col": "R",
+    "row": 28,
+    "formula": "=SUM(L28:N28)",
+    "cached_value": 6260,
+    "pattern_id": "pf_0008",
+    "layer": 1
+  },
+  {
+    "sheet": "New Hire 1",
+    "col": "R",
+    "row": 29,
+    "formula": "=SUM(L29:N29)",
+    "cached_value": 6260,
+    "pattern_id": "pf_0008",
+    "layer": 1
+  },
+  {
+    "sheet": "New Hire 1",
+    "col": "R",
+    "row": 30,
+    "formula": "=SUM(L30:N30)",
+    "cached_value": 3560,
+    "pattern_id": "pf_0008",
+    "layer": 1
+  },
+  {
+    "sheet": "New Hire 1",
+    "col": "R",
+    "row": 31,
+    "formula": "=SUM(L31:N31)",
+    "cached_value": 3560,
+    "pattern_id": "pf_0008",
+    "layer": 1
+  },
+  {
+    "sheet": "New Hire 1",
+    "col": "R",
+    "row": 32,
+    "formula": "=SUM(L32:N32)",
+    "cached_value": 360,
+    "pattern_id": "pf_0008",
+    "layer": 1
+  },
+  {
+    "sheet": "New Hire 1",
+    "col": "L",
+    "row": 21,
+    "formula": "=L22+D21",
+    "cached_value": 4550,
+    "pattern_id": "pf_0000",
+    "layer": 2
+  },
+  {
+    "sheet": "New Hire 1",
+    "col": "L",
+    "row": 22,
+    "formula": "=L23+D22",
+    "cached_value": 4550,
+    "pattern_id": "pf_0000",
+    "layer": 2
+  },
+  {
+    "sheet": "New Hire 1",
+    "col": "L",
+    "row": 23,
+    "formula": "=L24+D23",
+    "cached_value": 4550,
+    "pattern_id": "pf_0000",
+    "layer": 2
+  },
+  {
+    "sheet": "New Hire 1",
+    "col": "L",
+    "row": 24,
+    "formula": "=L25+D24",
+    "cached_value": 4550,
+    "pattern_id": "pf_0000",
+    "layer": 2
+  },
+  {
+    "sheet": "New Hire 1",
+    "col": "L",
+    "row": 25,
+    "formula": "=L26+D25",
+    "cached_value": 4550,
+    "pattern_id": "pf_0000",
+    "layer": 2
+  },
+  {
+    "sheet": "New Hire 1",
+    "col": "L",
+    "row": 26,
+    "formula": "=L27+D26",
+    "cached_value": 4550,
+    "pattern_id": "pf_0000",
+    "layer": 2
+  },
+  {
+    "sheet": "New Hire 1",
+    "col": "L",
+    "row": 27,
+    "formula": "=L28+D27",
+    "cached_value": 4550,
+    "pattern_id": "pf_0000",
+    "layer": 2
+  },
+  {
+    "sheet": "New Hire 1",
+    "col": "L",
+    "row": 28,
+    "formula": "=L29+D28",
+    "cached_value": 4550,
+    "pattern_id": "pf_0000",
+    "layer": 2
+  },
+  {
+    "sheet": "New Hire 1",
+    "col": "L",
+    "row": 29,
+    "formula": "=L30+D29",
+    "cached_value": 4550,
+    "pattern_id": "pf_0000",
+    "layer": 2
+  },
+  {
+    "sheet": "New Hire 1",
+    "col": "L",
+    "row": 30,
+    "formula": "=L31+D30",
+    "cached_value": 3200,
+    "pattern_id": "pf_0000",
+    "layer": 2
+  },
+  {
+    "sheet": "New Hire 1",
+    "col": "L",
+    "row": 31,
+    "formula": "=L32+D31",
+    "cached_value": 3200,
+    "pattern_id": "pf_0000",
+    "layer": 2
+  },
+  {
+    "sheet": "New Hire 1",
+    "col": "M",
+    "row": 21,
+    "formula": "=M22+G21",
+    "cached_value": 1710,
+    "pattern_id": "pf_0001",
+    "layer": 2
+  },
+  {
+    "sheet": "New Hire 1",
+    "col": "M",
+    "row": 22,
+    "formula": "=M23+G22",
+    "cached_value": 1710,
+    "pattern_id": "pf_0001",
+    "layer": 2
+  },
+  {
+    "sheet": "New Hire 1",
+    "col": "M",
+    "row": 23,
+    "formula": "=M24+G23",
+    "cached_value": 1710,
+    "pattern_id": "pf_0001",
+    "layer": 2
+  },
+  {
+    "sheet": "New Hire 1",
+    "col": "M",
+    "row": 24,
+    "formula": "=M25+G24",
+    "cached_value": 1710,
+    "pattern_id": "pf_0001",
+    "layer": 2
+  },
+  {
+    "sheet": "New Hire 1",
+    "col": "M",
+    "row": 25,
+    "formula": "=M26+G25",
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+          "normalized_pattern": "=SUMIFS([$M,$6]:[$M,$13],[$A,$6]:[$A,$13],\"FS\",[$B,$6]:[$B,$13],\"JUN\")",
+          "sample_formula": "=SUMIFS($M$6:$M$13,$A$6:$A$13,\"FS\",$B$6:$B$13,\"Jun\")"
+        },
+        {
+          "region_ids": [
+            "rg_00050"
+          ],
+          "sheet": "New Hire 1",
+          "col": "J",
+          "rows": [
+            28
+          ],
+          "row_ranges": "28",
+          "row_count": 1,
+          "pattern_id": "pf_0041",
+          "normalized_pattern": "=SUMIFS([$M,$6]:[$M,$13],[$A,$6]:[$A,$13],\"FS\",[$B,$6]:[$B,$13],\"MAY\")",
+          "sample_formula": "=SUMIFS($M$6:$M$13,$A$6:$A$13,\"FS\",$B$6:$B$13,\"May\")"
+        },
+        {
+          "region_ids": [
+            "rg_00053"
+          ],
+          "sheet": "New Hire 1",
+          "col": "J",
+          "rows": [
+            29
+          ],
+          "row_ranges": "29",
+          "row_count": 1,
+          "pattern_id": "pf_0044",
+          "normalized_pattern": "=SUMIFS([$M,$6]:[$M,$13],[$A,$6]:[$A,$13],\"FS\",[$B,$6]:[$B,$13],\"APR\")",
+          "sample_formula": "=SUMIFS($M$6:$M$13,$A$6:$A$13,\"FS\",$B$6:$B$13,\"Apr\")"
+        },
+        {
+          "region_ids": [
+            "rg_00056"
+          ],
+          "sheet": "New Hire 1",
+          "col": "J",
+          "rows": [
+            30
+          ],
+          "row_ranges": "30",
+          "row_count": 1,
+          "pattern_id": "pf_0047",
+          "normalized_pattern": "=SUMIFS([$M,$6]:[$M,$13],[$A,$6]:[$A,$13],\"FS\",[$B,$6]:[$B,$13],\"MAR\")",
+          "sample_formula": "=SUMIFS($M$6:$M$13,$A$6:$A$13,\"FS\",$B$6:$B$13,\"Mar\")"
+        },
+        {
+          "region_ids": [
+            "rg_00059"
+          ],
+          "sheet": "New Hire 1",
+          "col": "J",
+          "rows": [
+            31
+          ],
+          "row_ranges": "31",
+          "row_count": 1,
+          "pattern_id": "pf_0050",
+          "normalized_pattern": "=SUMIFS([$M,$6]:[$M,$13],[$A,$6]:[$A,$13],\"FS\",[$B,$6]:[$B,$13],\"FEB\")",
+          "sample_formula": "=SUMIFS($M$6:$M$13,$A$6:$A$13,\"FS\",$B$6:$B$13,\"Feb\")"
+        },
+        {
+          "region_ids": [
+            "rg_00062"
+          ],
+          "sheet": "New Hire 1",
+          "col": "J",
+          "rows": [
+            32
+          ],
+          "row_ranges": "32",
+          "row_count": 1,
+          "pattern_id": "pf_0053",
+          "normalized_pattern": "=SUMIFS([$M,$6]:[$M,$13],[$A,$6]:[$A,$13],\"FS\",[$B,$6]:[$B,$13],\"JAN\")",
+          "sample_formula": "=SUMIFS($M$6:$M$13,$A$6:$A$13,\"FS\",$B$6:$B$13,\"Jan\")"
+        }
+      ],
+      "new_eval_cells": 36,
+      "total_masked_cells": 84
+    },
+    {
+      "layer_index": 4,
+      "new_pattern_groups": [
+        {
+          "region_ids": [
+            "rg_00014"
+          ],
+          "sheet": "New Hire 1",
+          "col": "M",
+          "rows": [
+            6,
+            7,
+            8,
+            9,
+            10,
+            11,
+            12,
+            13
+          ],
+          "row_ranges": "6-13",
+          "row_count": 8,
+          "pattern_id": "pf_0012",
+          "normalized_pattern": "=[C-3,R]*[C-1,R]*[C-2,R]",
+          "sample_formula": "=J6*L6*K6"
+        }
+      ],
+      "new_eval_cells": 8,
+      "total_masked_cells": 92
+    }
+  ],
+  "sink": {
+    "region_id": "rg_00010",
+    "sheet": "New Hire 1",
+    "col": "R",
+    "pattern_id": "pf_0008",
+    "row_count": 12,
+    "family_size": 12
+  }
+}

FormulaCascade_Benchmark_eval_200/T1_FRONTIER/internal/FCB-00500/nl_task.json

@@ -0,0 +1,26 @@
+{
+  "task_id": "single_sheet__dag_2b6f13acd3c3",
+  "prompt_en": "The \"New Hire 1\" sheet is an education enrollment-style report under the \"CONTRACT COMMISSIONS\" heading, with rows organized around labels like Class, Month, and Client Billed. Please fill in the blank entries in the YTD GP column for rows 21 through 32, located at R21:R32 on the \"New Hire 1\" sheet. Some of the nearby monthly fields in the same section may need to be in place before the YTD GP entries are meaningful, so review the visible row and column context carefully. When you’re done, save the completed workbook as an .xlsx file.",
+  "prompt_cn": "“New Hire 1”工作表是一份教育招生记录类报表，位于“CONTRACT COMMISSIONS”标题下，行内容围绕 Class、Month、Client Billed 等标签展开。请填写“New Hire 1”工作表中 YTD GP 列第 21 到第 32 行的空白项，位置是 R21:R32。同一区域附近的一些月度字段可能需要先补齐，YTD GP 里的内容才会有意义，所以请仔细查看可见的行列信息。完成后，请将填好的工作簿保存为 .xlsx 文件。",
+  "quality_notes": "The prompt identifies the sheet, visible business context, target column, and exact range while avoiding formulas, operations, and answer values. It naturally mentions prerequisite context without describing a dependency chain.",
+  "post_check_issues": [],
+  "prompt_mode": "minimal",
+  "hint_leakage": {
+    "score": 4,
+    "level": "low",
+    "max_possible": 100,
+    "dimensions": {
+      "operation_words": 0,
+      "cell_range_density": 4,
+      "step_by_step": 0,
+      "column_operation_mapping": 0,
+      "formula_pattern_hints": 0
+    },
+    "operation_words_found": [],
+    "cell_ranges_found": 1
+  },
+  "version": "v7",
+  "model": "gpt-5.5",
+  "elapsed": 46.5,
+  "attempt": 2
+}

FormulaCascade_Benchmark_eval_200/T1_FRONTIER/internal/FCB-00500/release_qc.json

@@ -0,0 +1,58 @@
+{
+  "binary": true,
+  "binary_reason": "Well-designed chain-masked task: mask is clean, GT is consistent, and visible workbook structure provides enough evidence to reconstruct the dependency chain.",
+  "D1": {
+    "score": 5,
+    "reason": "All 92 contract cells are truly masked, there are no extra masked cells, no contract cells left unmasked, and no phantom references beyond the sheet range. Visible formulas in adjacent commission/YTD sections provide structural clues but do not make the final task trivially copyable because the solver must still reconstruct upstream GP-earned, monthly class GP, and cumulative YTD dependencies."
+  },
+  "D2": {
+    "score": 5,
+    "reason": "The layer-1 GT formulas R21:R32 are consistent with the sheet design: each YTD GP cell sums the three YTD GP by class columns L:N for the same row. Cached values are plausible and consistent with the visible prerequisite formulas and cumulative monthly structure. Formulas are deterministic and contain no volatile or ambiguous logic."
+  },
+  "D3": {
+    "score": 4,
+    "reason": "The NL clearly identifies the sheet, target column, and target range R21:R32. It also warns that nearby monthly fields may need to be in place first, which aligns with the chain-masking setup. It is somewhat high-level and does not explicitly describe the SUMIFS/month-class aggregation logic, but it is understandable and not contradictory."
+  },
+  "D4": {
+    "score": 4,
+    "reason": "From mask_last.xlsx and the NL alone, the chain appears reconstructible with effort. The top GP Earned column has visible headers and inputs indicating GP Earned should be computed from Total GP/Hour, percentage, and count. The monthly GP columns D/G/J are supported by visible month labels, class headers IT/AF/FS, and adjacent key-building formulas, giving enough structure to infer month/class aggregation from the source rows. The YTD GP-by-class columns L:N have strong visible analogues in O:Q, whose cumulative commission formulas reveal the bottom-up YTD pattern and boundary row. The final R column is supported by the neighboring S column formula pattern and the YTD GP header. The main gap is that the NL does not explicitly state the aggregation formula, so the solver must infer it from layout rather than copy a visible exemplar.",
+    "d4_type": "ok"
+  },
+  "D5": {
+    "score": 5,
+    "reason": "The source spreadsheet appears internally sound: formulas reference valid ranges, no circular or broken references are evident, headers are meaningful, and the commission/YTD sections are consistent. Blank input rows in the source table naturally produce zero GP Earned through the formulas and do not indicate corruption."
+  },
+  "D6": {
+    "score": 4,
+    "reason": "The prompt sounds mostly like a realistic workbook-completion request and avoids benchmark jargon. The phrase 'education enrollment-style report' is a little generic, but the instruction is natural enough for a workplace spreadsheet task."
+  },
+  "total": 27,
+  "verdict": "RELEASE",
+  "verdict_reason": "High-quality task with clean masking, correct GT, and sufficient visible structural evidence. Difficulty comes from legitimate multi-step dependency reconstruction rather than missing data or masking errors.",
+  "frontier_hardness": {
+    "score": 4,
+    "reason": "This is a hard single-sheet task: the solver must reconstruct a four-layer dependency chain across GP Earned inputs, month/class GP aggregation, cumulative YTD-by-class columns, and final YTD GP totals. There are many masked cells and several interacting formula families, though no cross-sheet references or hidden constants.",
+    "fail_reason": "deep_chain",
+    "is_valid_hardness": true
+  },
+  "_prompt_chars": 78022,
+  "_timing_load_workbooks": 0.05,
+  "_timing_context": 0.01,
+  "_timing_api": 169.72,
+  "local_difficulty": {
+    "difficulty_score": 67.3,
+    "difficulty": "hard",
+    "depth": 4,
+    "total_masked": 92,
+    "is_cross_sheet": false,
+    "unique_patterns": 44,
+    "avg_complexity": 6,
+    "cross_refs": 0,
+    "visible_exemplar_ratio": 0.077
+  },
+  "task_id": "single_sheet__dag_2b6f13acd3c3",
+  "elapsed": 169.8,
+  "publish_decision": "YES",
+  "release_tier": "FRONTIER_HARD",
+  "hard_block_reasons": []
+}

FormulaCascade_Benchmark_eval_200/T1_FRONTIER/internal/FCB-00500/target_contract.json

@@ -0,0 +1,219 @@
+{
+  "task_id": "single_sheet__dag_2b6f13acd3c3",
+  "category": "single_sheet",
+  "depth": 4,
+  "final_target": {
+    "regions": [
+      {
+        "sheet": "New Hire 1",
+        "column": "R",
+        "column_header": "YTD GP",
+        "cell_range": "R21:R32",
+        "cell_count": 12,
+        "rows": [
+          21,
+          22,
+          23,
+          24,
+          25,
+          26,
+          27,
+          28,
+          29,
+          30,
+          31,
+          32
+        ],
+        "first_row_label": "Dec",
+        "last_row_label": "Jan"
+      }
+    ],
+    "cell_count": 12,
+    "formula_families": [
+      "aggregation"
+    ]
+  },
+  "prerequisite_steps": [
+    {
+      "layer": 4,
+      "regions": [
+        {
+          "sheet": "New Hire 1",
+          "column": "M",
+          "column_header": "GP Earned",
+          "cell_range": "M6:M13",
+          "cell_count": 8,
+          "rows": [
+            6,
+            7,
+            8,
+            9,
+            10,
+            11,
+            12,
+            13
+          ],
+          "first_row_label": "af",
+          "last_row_label": ""
+        }
+      ],
+      "cell_count": 8
+    },
+    {
+      "layer": 3,
+      "regions": [
+        {
+          "sheet": "New Hire 1",
+          "column": "D",
+          "column_header": "IT",
+          "cell_range": "D21:D32",
+          "cell_count": 12,
+          "rows": [
+            21,
+            22,
+            23,
+            24,
+            25,
+            26,
+            27,
+            28,
+            29,
+            30,
+            31,
+            32
+          ],
+          "first_row_label": "Dec",
+          "last_row_label": "Jan"
+        },
+        {
+          "sheet": "New Hire 1",
+          "column": "G",
+          "column_header": "AF",
+          "cell_range": "G21:G32",
+          "cell_count": 12,
+          "rows": [
+            21,
+            22,
+            23,
+            24,
+            25,
+            26,
+            27,
+            28,
+            29,
+            30,
+            31,
+            32
+          ],
+          "first_row_label": "Dec",
+          "last_row_label": "Jan"
+        },
+        {
+          "sheet": "New Hire 1",
+          "column": "J",
+          "column_header": "FS",
+          "cell_range": "J21:J32",
+          "cell_count": 12,
+          "rows": [
+            21,
+            22,
+            23,
+            24,
+            25,
+            26,
+            27,
+            28,
+            29,
+            30,
+            31,
+            32
+          ],
+          "first_row_label": "Dec",
+          "last_row_label": "Jan"
+        }
+      ],
+      "cell_count": 36
+    },
+    {
+      "layer": 2,
+      "regions": [
+        {
+          "sheet": "New Hire 1",
+          "column": "L",
+          "column_header": "IT",
+          "cell_range": "L21:L32",
+          "cell_count": 12,
+          "rows": [
+            21,
+            22,
+            23,
+            24,
+            25,
+            26,
+            27,
+            28,
+            29,
+            30,
+            31,
+            32
+          ],
+          "first_row_label": "Dec",
+          "last_row_label": "Jan"
+        },
+        {
+          "sheet": "New Hire 1",
+          "column": "M",
+          "column_header": "GP Earned",
+          "cell_range": "M21:M32",
+          "cell_count": 12,
+          "rows": [
+            21,
+            22,
+            23,
+            24,
+            25,
+            26,
+            27,
+            28,
+            29,
+            30,
+            31,
+            32
+          ],
+          "first_row_label": "Dec",
+          "last_row_label": "Jan"
+        },
+        {
+          "sheet": "New Hire 1",
+          "column": "N",
+          "column_header": "FS",
+          "cell_range": "N21:N32",
+          "cell_count": 12,
+          "rows": [
+            21,
+            22,
+            23,
+            24,
+            25,
+            26,
+            27,
+            28,
+            29,
+            30,
+            31,
+            32
+          ],
+          "first_row_label": "Dec",
+          "last_row_label": "Jan"
+        }
+      ],
+      "cell_count": 36
+    }
+  ],
+  "total_prerequisite_cells": 80,
+  "total_masked_cells": 92,
+  "ratio_total_vs_final": 7.7,
+  "sheets_involved": [
+    "New Hire 1"
+  ]
+}

FormulaCascade_Benchmark_eval_200/T1_FRONTIER/internal/FCB-00500/task_meta.json

@@ -0,0 +1,37 @@
+{
+  "fcb_id": "FCB-00500",
+  "task_id": "single_sheet__dag_2b6f13acd3c3",
+  "tier": "T1_FRONTIER",
+  "category": "single_sheet",
+  "depth": 4,
+  "total_masked": 92,
+  "is_cross_sheet": false,
+  "prompt_en": "The \"New Hire 1\" sheet is an education enrollment-style report under the \"CONTRACT COMMISSIONS\" heading, with rows organized around labels like Class, Month, and Client Billed. Please fill in the blank entries in the YTD GP column for rows 21 through 32, located at R21:R32 on the \"New Hire 1\" sheet. Some of the nearby monthly fields in the same section may need to be in place before the YTD GP entries are meaningful, so review the visible row and column context carefully. When you’re done, save the completed workbook as an .xlsx file.",
+  "prompt_cn": "“New Hire 1”工作表是一份教育招生记录类报表，位于“CONTRACT COMMISSIONS”标题下，行内容围绕 Class、Month、Client Billed 等标签展开。请填写“New Hire 1”工作表中 YTD GP 列第 21 到第 32 行的空白项，位置是 R21:R32。同一区域附近的一些月度字段可能需要先补齐，YTD GP 里的内容才会有意义，所以请仔细查看可见的行列信息。完成后，请将填好的工作簿保存为 .xlsx 文件。",
+  "qc": {
+    "total": 27,
+    "verdict": "RELEASE",
+    "D1": 5,
+    "D2": 5,
+    "D3": 4,
+    "D4": 4,
+    "D5": 5,
+    "D6": 4,
+    "frontier_hardness": 4,
+    "local_difficulty": 67.3
+  },
+  "source_file_id": "93765d1293544143-commission-calculation-using-sumifs-copy-of-commissionlookup",
+  "inferred_domain": "education",
+  "domain_confidence": 0.25,
+  "sheet_profiles": [
+    {
+      "name": "New Hire 1",
+      "used_range": "A1:X46",
+      "row_count": 46,
+      "col_count": 24,
+      "has_header": false,
+      "title_hint": "New Hire 1",
+      "header_info": null
+    }
+  ]
+}

FormulaCascade_Benchmark_eval_200/T1_FRONTIER/internal/FCB-00511/audit.json

@@ -0,0 +1,521 @@
+{
+  "gate": {
+    "pre_nl_gate": {
+      "gate_label": "GATE_PASS",
+      "gate_pass": true,
+      "hard_fails": 0,
+      "warns": 0,
+      "checks": [
+        {
+          "check": "final_target_gate",
+          "pass": true,
+          "detail": "final_target has 7 cells"
+        },
+        {
+          "check": "header_grounding",
+          "pass": true,
+          "severity": "pass",
+          "detail": "1/1 final regions have column_header"
+        },
+        {
+          "check": "mask_consistency",
+          "pass": true,
+          "detail": "mask_last=50201B, src=66241B"
+        },
+        {
+          "check": "dirty_family",
+          "pass": true,
+          "detail": "0 dirty cells"
+        },
+        {
+          "check": "ratio_gate",
+          "pass": true,
+          "detail": "ratio=7.0 (total=49, final=7)"
+        },
+        {
+          "check": "dedup_gate",
+          "pass": true,
+          "detail": "0 duplicate cells across layers"
+        },
+        {
+          "check": "gt_uniqueness",
+          "pass": true,
+          "detail": "28 unique values across 49 cells"
+        },
+        {
+          "check": "tail_artifact",
+          "pass": true,
+          "detail": "0 bad values"
+        },
+        {
+          "check": "unrecoverable_leaf",
+          "pass": true,
+          "detail": "clean",
+          "hidden_const_cells": []
+        },
+        {
+          "check": "adjacent_column_leak",
+          "pass": true,
+          "detail": "clean"
+        },
+        {
+          "check": "header_name_accuracy",
+          "pass": true,
+          "detail": "clean"
+        },
+        {
+          "check": "duplicate_lookup_tie_break",
+          "pass": true,
+          "severity": null,
+          "detail": "7 lookups"
+        },
+        {
+          "check": "src_chain_integrity",
+          "pass": true,
+          "severity": "ok",
+          "detail": "clean",
+          "sub_checks": {
+            "error_cells": {
+              "pass": true,
+              "count": 0,
+              "cells": []
+            },
+            "external_refs": {
+              "pass": true,
+              "count": 0,
+              "cells": []
+            },
+            "volatile_funcs": {
+              "pass": true,
+              "count": 0,
+              "cells": []
+            },
+            "missing_sheets": {
+              "pass": true,
+              "count": 0,
+              "sheets": []
+            },
+            "circular_refs": {
+              "pass": true,
+              "cycle_cells": []
+            }
+          }
+        },
+        {
+          "check": "uniqueness_deep",
+          "pass": true,
+          "severity": "ok",
+          "detail": "clean"
+        }
+      ]
+    },
+    "post_nl_validate": {
+      "validate_label": "SOFT_WARN",
+      "validate_pass": true,
+      "hard_fails": 0,
+      "soft_warns": 2,
+      "checks": [
+        {
+          "check": "cell_range_match",
+          "pass": false,
+          "detail": "contract=25, prompt=0, missing=18",
+          "missing_ranges": [
+            "A3:A9",
+            "D25",
+            "D3:D9",
+            "F25",
+            "G25",
+            "H25",
+            "K25",
+            "M25",
+            "N25",
+            "O25"
+          ],
+          "severity": "SOFT_WARN"
+        },
+        {
+          "check": "cell_count_match",
+          "pass": true,
+          "detail": "no explicit total found; skipping (natural format)",
+          "severity": "OK"
+        },
+        {
+          "check": "step_count_match",
+          "pass": true,
+          "detail": "contract=3, no explicit steps found (v5 natural format)",
+          "severity": "OK"
+        },
+        {
+          "check": "sheet_name_match",
+          "pass": true,
+          "detail": "contract=['AHT Summary'], missing=[]",
+          "severity": "OK"
+        },
+        {
+          "check": "no_formula_leak",
+          "pass": true,
+          "detail": "0 formula leaks",
+          "severity": "OK"
+        },
+        {
+          "check": "no_value_leak",
+          "pass": true,
+          "detail": "0 value leaks out of 7 GT cells",
+          "severity": "OK"
+        },
+        {
+          "check": "final_target_first",
+          "pass": true,
+          "detail": "no explicit final target marker (natural format)",
+          "severity": "OK"
+        },
+        {
+          "check": "output_format",
+          "pass": true,
+          "detail": "output format found",
+          "severity": "OK"
+        },
+        {
+          "check": "header_in_prompt",
+          "pass": true,
+          "detail": "no column headers found in prompt",
+          "severity": "OK"
+        },
+        {
+          "check": "hint_specificity",
+          "pass": true,
+          "detail": "clean",
+          "severity": "OK"
+        },
+        {
+          "check": "evidence_scope",
+          "pass": true,
+          "detail": "no cross-sheet refs in GT",
+          "severity": "OK"
+        },
+        {
+          "check": "exemplar_consistency",
+          "pass": true,
+          "severity": "OK",
+          "detail": "checked 22 col groups; CONFLICTS: AHT Summary!J3: visible='=IFERROR(VLOOKUP($H3,$A$3:$E$9' vs GT pattern='=SUM(J#:J#)'; AHT Summary!J4: visible='=IFERROR(VLOOKUP($H4,$A$3:$E$9' vs GT pattern='=SUM(J#:J#)'"
+        },
+        {
+          "check": "nl_gt_operation_consistency",
+          "pass": false,
+          "detail": "GT funcs: ['COLUMN', 'COUNTIF', 'IFERROR', 'RANK', 'SUM', 'VLOOKUP']; MISMATCHES: GT uses VLOOKUP but NL doesn't mention any of: find, look up, lookup, match; GT uses COUNTIF but NL doesn't mention any of: condition, count, criteria, how many",
+          "severity": "SOFT_WARN"
+        },
+        {
+          "check": "unmatched_default_rule",
+          "pass": true,
+          "detail": "no default-rule phrase found in NL",
+          "severity": "OK"
+        },
+        {
+          "check": "volatile_function_freeze",
+          "pass": true,
+          "detail": "volatile_cells=0",
+          "severity": "OK"
+        },
+        {
+          "check": "direct_answer_leakage",
+          "pass": true,
+          "detail": "0 leaks out of 49 GT cells (0%)",
+          "severity": "OK"
+        }
+      ]
+    },
+    "pre_nl_local": {
+      "local_total": 60,
+      "local_label": "PENDING_NL",
+      "hard_fail_flags": [],
+      "warnings": [
+        "nl_missing"
+      ],
+      "local_subscores": {
+        "family_clean": 25,
+        "target_integrity": 15,
+        "taxonomy": 10,
+        "semantic_signal": 10,
+        "nl_schema": 0,
+        "target_alignment": 0,
+        "business_specificity": 0,
+        "nl_risk": 0
+      }
+    }
+  },
+  "verify": {
+    "uniqueness": {
+      "total_gt_cells": 49,
+      "total_non_none": 49,
+      "block_reasons": [],
+      "warnings": [
+        "mixed_gt_types:{'str': 29, 'int': 20}"
+      ],
+      "checks": {
+        "rank_tie_risk": {
+          "rank_cells": 7,
+          "tie_issues": 0,
+          "details": []
+        },
+        "trivial_gt": {
+          "issues": []
+        },
+        "gt_type_consistency": {
+          "types": {
+            "str": 29,
+            "int": 20
+          },
+          "mixed": true
+        },
+        "empty_gt": {
+          "count": 0,
+          "details": []
+        }
+      }
+    },
+    "src_chain": {
+      "hard_block": false,
+      "block_reasons": [],
+      "checks": {
+        "error_cells": {
+          "pass": true,
+          "count": 0,
+          "cells": []
+        },
+        "external_refs": {
+          "pass": true,
+          "count": 0,
+          "cells": []
+        },
+        "volatile_funcs": {
+          "pass": true,
+          "count": 0,
+          "cells": []
+        },
+        "missing_sheets": {
+          "pass": true,
+          "count": 0,
+          "sheets": []
+        },
+        "circular_refs": {
+          "pass": true,
+          "cycle_cells": []
+        }
+      },
+      "required_chain_scope": {
+        "external_ref_in_required_chain": 0,
+        "external_ref_in_other": 0,
+        "error_cells_in_required_chain": 0,
+        "error_cells_in_other": 0,
+        "required_chain_cells": 49
+      }
+    },
+    "solver_visibility": {
+      "contract_cells": 49,
+      "total_masked": 49,
+      "total_visible": 1743,
+      "depth": 4,
+      "block_reasons": [
+        "broken_chains:15/49=30.6%"
+      ],
+      "warnings": [],
+      "checks": {
+        "broken_chains": {
+          "count": 15,
+          "checked": 49,
+          "details": [
+            {
+              "cell": "AHT Summary!L25",
+              "missing_dep": "AHT Summary!L17",
+              "formula": "=SUM(L13:L24)"
+            },
+            {
+              "cell": "AHT Summary!M25",
+              "missing_dep": "AHT Summary!M17",
+              "formula": "=SUM(M13:M24)"
+            },
+            {
+              "cell": "AHT Summary!R25",
+              "missing_dep": "AHT Summary!R17",
+              "formula": "=SUM(R13:R24)"
+            },
+            {
+              "cell": "AHT Summary!U25",
+              "missing_dep": "AHT Summary!U17",
+              "formula": "=SUM(U13:U24)"
+            },
+            {
+              "cell": "AHT Summary!S25",
+              "missing_dep": "AHT Summary!S17",
+              "formula": "=SUM(S13:S24)"
+            },
+            {
+              "cell": "AHT Summary!L3",
+              "missing_dep": "AHT Summary!E1",
+              "formula": "=IFERROR(VLOOKUP($H3,$A$3:$E$9,COLUMN(E1),FALSE),\"\")"
+            },
+            {
+              "cell": "AHT Summary!F25",
+              "missing_dep": "AHT Summary!F17",
+              "formula": "=SUM(F13:F24)"
+            },
+            {
+              "cell": "AHT Summary!D25",
+              "missing_dep": "AHT Summary!D17",
+              "formula": "=SUM(D13:D24)"
+            },
+            {
+              "cell": "AHT Summary!G25",
+              "missing_dep": "AHT Summary!G17",
+              "formula": "=SUM(G13:G24)"
+            },
+            {
+              "cell": "AHT Summary!O25",
+              "missing_dep": "AHT Summary!O17",
+              "formula": "=SUM(O13:O24)"
+            },
+            {
+              "cell": "AHT Summary!I25",
+              "missing_dep": "AHT Summary!I17",
+              "formula": "=SUM(I13:I24)"
+            },
+            {
+              "cell": "AHT Summary!C25",
+              "missing_dep": "AHT Summary!C17",
+              "formula": "=SUM(C13:C24)"
+            },
+            {
+              "cell": "AHT Summary!J25",
+              "missing_dep": "AHT Summary!J17",
+              "formula": "=SUM(J13:J24)"
+            },
+            {
+              "cell": "AHT Summary!V25",
+              "missing_dep": "AHT Summary!V17",
+              "formula": "=SUM(V13:V24)"
+            },
+            {
+              "cell": "AHT Summary!P25",
+              "missing_dep": "AHT Summary!P17",
+              "formula": "=SUM(P13:P24)"
+            }
+          ]
+        },
+        "orphan_masks": {
+          "count": 0,
+          "details": []
+        },
+        "self_contained": {
+          "missing_sheets": []
+        }
+      }
+    },
+    "exemplar": {
+      "soft_block": true,
+      "block_reasons": [
+        "zero_exemplar:1_patterns"
+      ],
+      "checks": {
+        "pattern_coverage": {
+          "pass": false,
+          "total_gt_patterns": 5,
+          "total_src_patterns": 13,
+          "zero_exemplar_count": 1,
+          "low_exemplar_count": 0
+        },
+        "zero_exemplar_patterns": {
+          "pass": false,
+          "patterns": [
+            {
+              "pattern": "=REF/REF",
+              "total_in_src": 7,
+              "sample_formula": "=C25/D25"
+            }
+          ]
+        },
+        "low_exemplar_patterns": {
+          "pass": true,
+          "patterns": []
+        },
+        "func_coverage": {
+          "SUM": {
+            "total_masked": 14,
+            "visible_exemplars": 7
+          },
+          "reference": {
+            "total_masked": 14,
+            "visible_exemplars": 7
+          },
+          "IFERROR": {
+            "total_masked": 7,
+            "visible_exemplars": 42
+          },
+          "RANK": {
+            "total_masked": 7,
+            "visible_exemplars": 7
+          },
+          "arithmetic": {
+            "total_masked": 7,
+            "visible_exemplars": 722
+          }
+        }
+      }
+    },
+    "shortcut": {
+      "shortcut_risk": 0.0,
+      "flags": []
+    },
+    "release_audit": {
+      "surface_single_sheet": true,
+      "surface_sheets": [
+        "AHT Summary"
+      ],
+      "cross_sheet_actual": false,
+      "cross_sheet_ref_count": 0,
+      "referenced_sheets": [],
+      "target_shape": "summary_block",
+      "layer_sizes": [
+        7,
+        21,
+        14,
+        7
+      ],
+      "mask_last_total_cells": 49,
+      "layer_growth_ratios": [
+        3.0,
+        0.6667,
+        0.5
+      ],
+      "pattern_dominance_ratio": 0.2857,
+      "visible_clone_regions": 0,
+      "nearby_visible_clone_regions": 0,
+      "nearby_visible_clone_rows": 0,
+      "nearby_visible_clone_ratio": 0.0,
+      "promptability_score": 1.0,
+      "release_reasons": [],
+      "release_verdict": "KEEP"
+    }
+  },
+  "difficulty": {
+    "task_id": "single_sheet__dag_7af4d20cd58a",
+    "difficulty_score": 61.2,
+    "difficulty": "hard",
+    "depth": 4,
+    "total_masked": 49,
+    "is_cross_sheet": false,
+    "unique_patterns": 37,
+    "avg_complexity": 6.0,
+    "cross_refs": 0,
+    "visible_exemplar_ratio": 0.5,
+    "score_breakdown": {
+      "depth": 21,
+      "cross_sheet": 0,
+      "cell_count": 11.2,
+      "patterns": 15,
+      "complexity": 9.0,
+      "cross_refs": 0,
+      "vis_penalty": 5.0
+    }
+  }
+}

FormulaCascade_Benchmark_eval_200/T1_FRONTIER/internal/FCB-00511/ground_truth_full.json

@@ -0,0 +1,443 @@
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+  },
+  {
+    "sheet": "AHT Summary",
+    "col": "O",
+    "row": 25,
+    "formula": "=SUM(O13:O24)",
+    "cached_value": "5 days, 3:23:46",
+    "pattern_id": "pf_0002",
+    "layer": 4
+  },
+  {
+    "sheet": "AHT Summary",
+    "col": "R",
+    "row": 25,
+    "formula": "=SUM(R13:R24)",
+    "cached_value": "4 days, 8:46:09",
+    "pattern_id": "pf_0002",
+    "layer": 4
+  },
+  {
+    "sheet": "AHT Summary",
+    "col": "U",
+    "row": 25,
+    "formula": "=SUM(U13:U24)",
+    "cached_value": "4 days, 17:17:33",
+    "pattern_id": "pf_0002",
+    "layer": 4
+  }
+]

FormulaCascade_Benchmark_eval_200/T1_FRONTIER/internal/FCB-00511/ground_truth_target.json

@@ -0,0 +1,58 @@
+[
+  {
+    "sheet": "AHT Summary",
+    "col": "L",
+    "row": 3,
+    "formula": "=IFERROR(VLOOKUP($H3,$A$3:$E$9,COLUMN(E1),FALSE),\"\")",
+    "cached_value": "0:05:24.073000",
+    "pattern_id": "pf_0001"
+  },
+  {
+    "sheet": "AHT Summary",
+    "col": "L",
+    "row": 4,
+    "formula": "=IFERROR(VLOOKUP($H4,$A$3:$E$9,COLUMN(E2),FALSE),\"\")",
+    "cached_value": "0:04:03.545000",
+    "pattern_id": "pf_0001"
+  },
+  {
+    "sheet": "AHT Summary",
+    "col": "L",
+    "row": 5,
+    "formula": "=IFERROR(VLOOKUP($H5,$A$3:$E$9,COLUMN(E3),FALSE),\"\")",
+    "cached_value": "0:04:01.775000",
+    "pattern_id": "pf_0001"
+  },
+  {
+    "sheet": "AHT Summary",
+    "col": "L",
+    "row": 6,
+    "formula": "=IFERROR(VLOOKUP($H6,$A$3:$E$9,COLUMN(E4),FALSE),\"\")",
+    "cached_value": "0:03:53.191000",
+    "pattern_id": "pf_0001"
+  },
+  {
+    "sheet": "AHT Summary",
+    "col": "L",
+    "row": 7,
+    "formula": "=IFERROR(VLOOKUP($H7,$A$3:$E$9,COLUMN(E5),FALSE),\"\")",
+    "cached_value": "0:03:35.288000",
+    "pattern_id": "pf_0001"
+  },
+  {
+    "sheet": "AHT Summary",
+    "col": "L",
+    "row": 8,
+    "formula": "=IFERROR(VLOOKUP($H8,$A$3:$E$9,COLUMN(E6),FALSE),\"\")",
+    "cached_value": "0:03:24.811000",
+    "pattern_id": "pf_0001"
+  },
+  {
+    "sheet": "AHT Summary",
+    "col": "L",
+    "row": 9,
+    "formula": "=IFERROR(VLOOKUP($H9,$A$3:$E$9,COLUMN(E7),FALSE),\"\")",
+    "cached_value": "0:03:15.052000",
+    "pattern_id": "pf_0001"
+  }
+]

FormulaCascade_Benchmark_eval_200/T1_FRONTIER/internal/FCB-00511/layers.json

@@ -0,0 +1,618 @@
+{
+  "dag_id": "dag_7af4d20cd58a",
+  "file_id": "157459d1337753767-automatically-sort-the-data-and-ranking-based-on-the-sorted-data-schedule-calculator",
+  "category": "single_sheet",
+  "surface_category": "single_sheet",
+  "effective_category": "single_sheet",
+  "depth": 4,
+  "quality": {
+    "chain_error_cells": 0,
+    "chain_external_cells": 0,
+    "is_clean": true
+  },
+  "layers": [
+    {
+      "layer_index": 1,
+      "new_pattern_groups": [
+        {
+          "region_ids": [
+            "rg_00006"
+          ],
+          "sheet": "AHT Summary",
+          "col": "L",
+          "rows": [
+            3,
+            4,
+            5,
+            6,
+            7,
+            8,
+            9
+          ],
+          "row_ranges": "3-9",
+          "row_count": 7,
+          "pattern_id": "pf_0001",
+          "normalized_pattern": "=IFERROR(VLOOKUP([$H,R],[$A,$3]:[$E,$9],COLUMN([C-7,R-2]),FALSE),\"\")",
+          "sample_formula": "=IFERROR(VLOOKUP($H3,$A$3:$E$9,COLUMN(E1),FALSE),\"\")"
+        }
+      ],
+      "new_eval_cells": 7,
+      "total_masked_cells": 7
+    },
+    {
+      "layer_index": 2,
+      "new_pattern_groups": [
+        {
+          "region_ids": [
+            "rg_00088"
+          ],
+          "sheet": "AHT Summary",
+          "col": "A",
+          "rows": [
+            3,
+            4,
+            5,
+            6,
+            7,
+            8,
+            9
+          ],
+          "row_ranges": "3-9",
+          "row_count": 7,
+          "pattern_id": "pf_0015",
+          "normalized_pattern": "=RANK([C+4,R],[$E,$3]:[$E,$9])+COUNTIF([$E,$3]:[C+4,R],[C+4,R])-1",
+          "sample_formula": "=RANK(E3,$E$3:$E$9)+COUNTIF($E$3:E3,E3)-1"
+        },
+        {
+          "region_ids": [
+            "rg_00098"
+          ],
+          "sheet": "AHT Summary",
+          "col": "D",
+          "rows": [
+            3
+          ],
+          "row_ranges": "3",
+          "row_count": 1,
+          "pattern_id": "pf_0019",
+          "normalized_pattern": "=[C,R+22]",
+          "sample_formula": "=D25"
+        },
+        {
+          "region_ids": [
+            "rg_00100"
+          ],
+          "sheet": "AHT Summary",
+          "col": "D",
+          "rows": [
+            4
+          ],
+          "row_ranges": "4",
+          "row_count": 1,
+          "pattern_id": "pf_0020",
+          "normalized_pattern": "=[C+3,R+21]",
+          "sample_formula": "=G25"
+        },
+        {
+          "region_ids": [
+            "rg_00102"
+          ],
+          "sheet": "AHT Summary",
+          "col": "D",
+          "rows": [
+            5
+          ],
+          "row_ranges": "5",
+          "row_count": 1,
+          "pattern_id": "pf_0021",
+          "normalized_pattern": "=[C+6,R+20]",
+          "sample_formula": "=J25"
+        },
+        {
+          "region_ids": [
+            "rg_00104"
+          ],
+          "sheet": "AHT Summary",
+          "col": "D",
+          "rows": [
+            6
+          ],
+          "row_ranges": "6",
+          "row_count": 1,
+          "pattern_id": "pf_0022",
+          "normalized_pattern": "=[C+9,R+19]",
+          "sample_formula": "=M25"
+        },
+        {
+          "region_ids": [
+            "rg_00106"
+          ],
+          "sheet": "AHT Summary",
+          "col": "D",
+          "rows": [
+            7
+          ],
+          "row_ranges": "7",
+          "row_count": 1,
+          "pattern_id": "pf_0023",
+          "normalized_pattern": "=[C+15,R+18]",
+          "sample_formula": "=S25"
+        },
+        {
+          "region_ids": [
+            "rg_00108"
+          ],
+          "sheet": "AHT Summary",
+          "col": "D",
+          "rows": [
+            8
+          ],
+          "row_ranges": "8",
+          "row_count": 1,
+          "pattern_id": "pf_0024",
+          "normalized_pattern": "=[C+18,R+17]",
+          "sample_formula": "=V25"
+        },
+        {
+          "region_ids": [
+            "rg_00110"
+          ],
+          "sheet": "AHT Summary",
+          "col": "D",
+          "rows": [
+            9
+          ],
+          "row_ranges": "9",
+          "row_count": 1,
+          "pattern_id": "pf_0025",
+          "normalized_pattern": "=[C+12,R+16]",
+          "sample_formula": "=P25"
+        },
+        {
+          "region_ids": [
+            "rg_00099"
+          ],
+          "sheet": "AHT Summary",
+          "col": "E",
+          "rows": [
+            3
+          ],
+          "row_ranges": "3",
+          "row_count": 1,
+          "pattern_id": "pf_0019",
+          "normalized_pattern": "=[C,R+22]",
+          "sample_formula": "=E25"
+        },
+        {
+          "region_ids": [
+            "rg_00101"
+          ],
+          "sheet": "AHT Summary",
+          "col": "E",
+          "rows": [
+            4
+          ],
+          "row_ranges": "4",
+          "row_count": 1,
+          "pattern_id": "pf_0020",
+          "normalized_pattern": "=[C+3,R+21]",
+          "sample_formula": "=H25"
+        },
+        {
+          "region_ids": [
+            "rg_00103"
+          ],
+          "sheet": "AHT Summary",
+          "col": "E",
+          "rows": [
+            5
+          ],
+          "row_ranges": "5",
+          "row_count": 1,
+          "pattern_id": "pf_0021",
+          "normalized_pattern": "=[C+6,R+20]",
+          "sample_formula": "=K25"
+        },
+        {
+          "region_ids": [
+            "rg_00105"
+          ],
+          "sheet": "AHT Summary",
+          "col": "E",
+          "rows": [
+            6
+          ],
+          "row_ranges": "6",
+          "row_count": 1,
+          "pattern_id": "pf_0022",
+          "normalized_pattern": "=[C+9,R+19]",
+          "sample_formula": "=N25"
+        },
+        {
+          "region_ids": [
+            "rg_00107"
+          ],
+          "sheet": "AHT Summary",
+          "col": "E",
+          "rows": [
+            7
+          ],
+          "row_ranges": "7",
+          "row_count": 1,
+          "pattern_id": "pf_0023",
+          "normalized_pattern": "=[C+15,R+18]",
+          "sample_formula": "=T25"
+        },
+        {
+          "region_ids": [
+            "rg_00109"
+          ],
+          "sheet": "AHT Summary",
+          "col": "E",
+          "rows": [
+            8
+          ],
+          "row_ranges": "8",
+          "row_count": 1,
+          "pattern_id": "pf_0024",
+          "normalized_pattern": "=[C+18,R+17]",
+          "sample_formula": "=W25"
+        },
+        {
+          "region_ids": [
+            "rg_00111"
+          ],
+          "sheet": "AHT Summary",
+          "col": "E",
+          "rows": [
+            9
+          ],
+          "row_ranges": "9",
+          "row_count": 1,
+          "pattern_id": "pf_0025",
+          "normalized_pattern": "=[C+12,R+16]",
+          "sample_formula": "=Q25"
+        }
+      ],
+      "new_eval_cells": 21,
+      "total_masked_cells": 28
+    },
+    {
+      "layer_index": 3,
+      "new_pattern_groups": [
+        {
+          "region_ids": [
+            "rg_00008"
+          ],
+          "sheet": "AHT Summary",
+          "col": "D",
+          "rows": [
+            25
+          ],
+          "row_ranges": "25",
+          "row_count": 1,
+          "pattern_id": "pf_0002",
+          "normalized_pattern": "=SUM([C,R-12]:[C,R-1])",
+          "sample_formula": "=SUM(D13:D24)"
+        },
+        {
+          "region_ids": [
+            "rg_00089"
+          ],
+          "sheet": "AHT Summary",
+          "col": "E",
+          "rows": [
+            25
+          ],
+          "row_ranges": "25",
+          "row_count": 1,
+          "pattern_id": "pf_0016",
+          "normalized_pattern": "=[C-2,R]/[C-1,R]",
+          "sample_formula": "=C25/D25"
+        },
+        {
+          "region_ids": [
+            "rg_00010"
+          ],
+          "sheet": "AHT Summary",
+          "col": "G",
+          "rows": [
+            25
+          ],
+          "row_ranges": "25",
+          "row_count": 1,
+          "pattern_id": "pf_0002",
+          "normalized_pattern": "=SUM([C,R-12]:[C,R-1])",
+          "sample_formula": "=SUM(G13:G24)"
+        },
+        {
+          "region_ids": [
+            "rg_00090"
+          ],
+          "sheet": "AHT Summary",
+          "col": "H",
+          "rows": [
+            25
+          ],
+          "row_ranges": "25",
+          "row_count": 1,
+          "pattern_id": "pf_0016",
+          "normalized_pattern": "=[C-2,R]/[C-1,R]",
+          "sample_formula": "=F25/G25"
+        },
+        {
+          "region_ids": [
+            "rg_00012"
+          ],
+          "sheet": "AHT Summary",
+          "col": "J",
+          "rows": [
+            25
+          ],
+          "row_ranges": "25",
+          "row_count": 1,
+          "pattern_id": "pf_0002",
+          "normalized_pattern": "=SUM([C,R-12]:[C,R-1])",
+          "sample_formula": "=SUM(J13:J24)"
+        },
+        {
+          "region_ids": [
+            "rg_00091"
+          ],
+          "sheet": "AHT Summary",
+          "col": "K",
+          "rows": [
+            25
+          ],
+          "row_ranges": "25",
+          "row_count": 1,
+          "pattern_id": "pf_0016",
+          "normalized_pattern": "=[C-2,R]/[C-1,R]",
+          "sample_formula": "=I25/J25"
+        },
+        {
+          "region_ids": [
+            "rg_00014"
+          ],
+          "sheet": "AHT Summary",
+          "col": "M",
+          "rows": [
+            25
+          ],
+          "row_ranges": "25",
+          "row_count": 1,
+          "pattern_id": "pf_0002",
+          "normalized_pattern": "=SUM([C,R-12]:[C,R-1])",
+          "sample_formula": "=SUM(M13:M24)"
+        },
+        {
+          "region_ids": [
+            "rg_00092"
+          ],
+          "sheet": "AHT Summary",
+          "col": "N",
+          "rows": [
+            25
+          ],
+          "row_ranges": "25",
+          "row_count": 1,
+          "pattern_id": "pf_0016",
+          "normalized_pattern": "=[C-2,R]/[C-1,R]",
+          "sample_formula": "=L25/M25"
+        },
+        {
+          "region_ids": [
+            "rg_00016"
+          ],
+          "sheet": "AHT Summary",
+          "col": "P",
+          "rows": [
+            25
+          ],
+          "row_ranges": "25",
+          "row_count": 1,
+          "pattern_id": "pf_0002",
+          "normalized_pattern": "=SUM([C,R-12]:[C,R-1])",
+          "sample_formula": "=SUM(P13:P24)"
+        },
+        {
+          "region_ids": [
+            "rg_00093"
+          ],
+          "sheet": "AHT Summary",
+          "col": "Q",
+          "rows": [
+            25
+          ],
+          "row_ranges": "25",
+          "row_count": 1,
+          "pattern_id": "pf_0016",
+          "normalized_pattern": "=[C-2,R]/[C-1,R]",
+          "sample_formula": "=O25/P25"
+        },
+        {
+          "region_ids": [
+            "rg_00018"
+          ],
+          "sheet": "AHT Summary",
+          "col": "S",
+          "rows": [
+            25
+          ],
+          "row_ranges": "25",
+          "row_count": 1,
+          "pattern_id": "pf_0002",
+          "normalized_pattern": "=SUM([C,R-12]:[C,R-1])",
+          "sample_formula": "=SUM(S13:S24)"
+        },
+        {
+          "region_ids": [
+            "rg_00094"
+          ],
+          "sheet": "AHT Summary",
+          "col": "T",
+          "rows": [
+            25
+          ],
+          "row_ranges": "25",
+          "row_count": 1,
+          "pattern_id": "pf_0016",
+          "normalized_pattern": "=[C-2,R]/[C-1,R]",
+          "sample_formula": "=R25/S25"
+        },
+        {
+          "region_ids": [
+            "rg_00020"
+          ],
+          "sheet": "AHT Summary",
+          "col": "V",
+          "rows": [
+            25
+          ],
+          "row_ranges": "25",
+          "row_count": 1,
+          "pattern_id": "pf_0002",
+          "normalized_pattern": "=SUM([C,R-12]:[C,R-1])",
+          "sample_formula": "=SUM(V13:V24)"
+        },
+        {
+          "region_ids": [
+            "rg_00095"
+          ],
+          "sheet": "AHT Summary",
+          "col": "W",
+          "rows": [
+            25
+          ],
+          "row_ranges": "25",
+          "row_count": 1,
+          "pattern_id": "pf_0016",
+          "normalized_pattern": "=[C-2,R]/[C-1,R]",
+          "sample_formula": "=U25/V25"
+        }
+      ],
+      "new_eval_cells": 14,
+      "total_masked_cells": 42
+    },
+    {
+      "layer_index": 4,
+      "new_pattern_groups": [
+        {
+          "region_ids": [
+            "rg_00007"
+          ],
+          "sheet": "AHT Summary",
+          "col": "C",
+          "rows": [
+            25
+          ],
+          "row_ranges": "25",
+          "row_count": 1,
+          "pattern_id": "pf_0002",
+          "normalized_pattern": "=SUM([C,R-12]:[C,R-1])",
+          "sample_formula": "=SUM(C13:C24)"
+        },
+        {
+          "region_ids": [
+            "rg_00009"
+          ],
+          "sheet": "AHT Summary",
+          "col": "F",
+          "rows": [
+            25
+          ],
+          "row_ranges": "25",
+          "row_count": 1,
+          "pattern_id": "pf_0002",
+          "normalized_pattern": "=SUM([C,R-12]:[C,R-1])",
+          "sample_formula": "=SUM(F13:F24)"
+        },
+        {
+          "region_ids": [
+            "rg_00011"
+          ],
+          "sheet": "AHT Summary",
+          "col": "I",
+          "rows": [
+            25
+          ],
+          "row_ranges": "25",
+          "row_count": 1,
+          "pattern_id": "pf_0002",
+          "normalized_pattern": "=SUM([C,R-12]:[C,R-1])",
+          "sample_formula": "=SUM(I13:I24)"
+        },
+        {
+          "region_ids": [
+            "rg_00013"
+          ],
+          "sheet": "AHT Summary",
+          "col": "L",
+          "rows": [
+            25
+          ],
+          "row_ranges": "25",
+          "row_count": 1,
+          "pattern_id": "pf_0002",
+          "normalized_pattern": "=SUM([C,R-12]:[C,R-1])",
+          "sample_formula": "=SUM(L13:L24)"
+        },
+        {
+          "region_ids": [
+            "rg_00015"
+          ],
+          "sheet": "AHT Summary",
+          "col": "O",
+          "rows": [
+            25
+          ],
+          "row_ranges": "25",
+          "row_count": 1,
+          "pattern_id": "pf_0002",
+          "normalized_pattern": "=SUM([C,R-12]:[C,R-1])",
+          "sample_formula": "=SUM(O13:O24)"
+        },
+        {
+          "region_ids": [
+            "rg_00017"
+          ],
+          "sheet": "AHT Summary",
+          "col": "R",
+          "rows": [
+            25
+          ],
+          "row_ranges": "25",
+          "row_count": 1,
+          "pattern_id": "pf_0002",
+          "normalized_pattern": "=SUM([C,R-12]:[C,R-1])",
+          "sample_formula": "=SUM(R13:R24)"
+        },
+        {
+          "region_ids": [
+            "rg_00019"
+          ],
+          "sheet": "AHT Summary",
+          "col": "U",
+          "rows": [
+            25
+          ],
+          "row_ranges": "25",
+          "row_count": 1,
+          "pattern_id": "pf_0002",
+          "normalized_pattern": "=SUM([C,R-12]:[C,R-1])",
+          "sample_formula": "=SUM(U13:U24)"
+        }
+      ],
+      "new_eval_cells": 7,
+      "total_masked_cells": 49
+    }
+  ],
+  "sink": {
+    "region_id": "rg_00006",
+    "sheet": "AHT Summary",
+    "col": "L",
+    "pattern_id": "pf_0001",
+    "row_count": 7,
+    "family_size": 7
+  }
+}

FormulaCascade_Benchmark_eval_200/T1_FRONTIER/internal/FCB-00511/nl_task.json

@@ -0,0 +1,26 @@
+{
+  "task_id": "single_sheet__dag_7af4d20cd58a",
+  "prompt_en": "On the AHT Summary sheet, the HR roster-style data ties Employee ID and Name entries to break-time fields and summary columns such as AHT. Please complete the blank AHT values in column L for rows 3 through 9 on the AHT Summary sheet, keeping the entries aligned with the employees shown in those rows.\n\nSome related blank fields in the workbook feed into the summary, so make sure the supporting entries are in place before finalizing the AHT column. When you’re done, save the completed file as an .xlsx workbook.",
+  "prompt_cn": "在“AHT Summary”工作表中，这份 HR 名册类数据把 Employee ID、Name 与休息时间字段以及 AHT 等汇总列对应起来。请补全“AHT Summary”工作表中 L 列第 3 到第 9 行的空白 AHT 值，并确保这些内容与对应行的员工保持一致。\n\n工作簿里有些相关的空白字段会影响汇总内容，因此在最终填写 AHT 列之前，请先确保相关的支持信息已经补齐。完成后，请将文件保存为 .xlsx 工作簿。",
+  "quality_notes": "The prompt identifies the relevant sheet, semantic target column, and range L3:L9 while keeping the business context limited to visible HR-style labels. It mentions supporting blank fields naturally without describing any operations, formulas, or answer values.",
+  "post_check_issues": [],
+  "prompt_mode": "minimal",
+  "hint_leakage": {
+    "score": 0,
+    "level": "low",
+    "max_possible": 100,
+    "dimensions": {
+      "operation_words": 0,
+      "cell_range_density": 0,
+      "step_by_step": 0,
+      "column_operation_mapping": 0,
+      "formula_pattern_hints": 0
+    },
+    "operation_words_found": [],
+    "cell_ranges_found": 0
+  },
+  "version": "v7",
+  "model": "gpt-5.5",
+  "elapsed": 42.5,
+  "attempt": 2
+}

FormulaCascade_Benchmark_eval_200/T1_FRONTIER/internal/FCB-00511/release_qc.json

@@ -0,0 +1,58 @@
+{
+  "binary": true,
+  "binary_reason": "CORRECT: the mask is clean, all cells are real, GT formulas are coherent, and the dependency chain is reconstructible from the visible AHT Summary structure despite being hard.",
+  "D1": {
+    "score": 5,
+    "reason": "All 49 contract cells are truly masked, with no extra masked cells and no contract cells left unmasked. The masked cells are within the actual AHT Summary sheet range, so there are no phantom references. Although adjacent visible formulas/outputs provide structural clues, the task is not reduced to zero-reasoning copying because the supporting annual totals, AHT calculations, and ranking/lookup structure must still be reconstructed."
+  },
+  "D2": {
+    "score": 5,
+    "reason": "The layer-1 GT formulas use deterministic IFERROR/VLOOKUP logic against the ranked helper table A3:E9 and are consistent with the cached ranked AHT values. The dependency formulas shown in src.xlsx are also coherent: annual totals are summed, AHT is derived by talk-time divided by call count, and rankings feed the final lookup."
+  },
+  "D3": {
+    "score": 4,
+    "reason": "The NL prompt clearly identifies the final cells to complete: AHT Summary column L, rows 3 through 9, aligned with the employees shown in those rows. It also warns that supporting blank fields feed the summary. However, it does not explicitly describe the annual-average/ranking helper structure, so some spreadsheet-structure inference is required."
+  },
+  "D4": {
+    "score": 4,
+    "reason": "From mask_last.xlsx and the NL alone, the root evidence is largely visible: the repeated employee triplets with Talk Time / No of Calls / AHT, the Annual Average row, the top roster table with Employee ID / Name / No Of Calls / AHT, and the ranked summary block with visible Ranking, Employee ID, Name, and No Of Calls. The solver can infer that annual call counts are sums and AHT is total talk time divided by total calls, then align the ranked employees to fill L3:L9. The main minor gap is that the exact helper ranking formula, especially tie-handling, is not explicitly visible, but no tie case is needed for the observed data and the rank/order is visible enough.",
+    "d4_type": "ok"
+  },
+  "D5": {
+    "score": 5,
+    "reason": "Using src.xlsx as reference, the source spreadsheet appears structurally sound: no chain errors, no external or broken references, no extra masking, and the formulas are internally consistent. Headers are somewhat sparse in places, but the repeated AHT Summary structure is meaningful and usable."
+  },
+  "D6": {
+    "score": 4,
+    "reason": "The NL reads like a plausible workplace request and avoids benchmark jargon. The phrasing is slightly generic and the phrase 'break-time fields' is not perfectly aligned with the visible AHT/talk-time data, but overall it is natural and understandable."
+  },
+  "total": 27,
+  "verdict": "RELEASE",
+  "verdict_reason": "High-quality hard chain-masked task: clean mask boundary, correct deterministic GT, and sufficient visible structure for reconstruction. Minor NL under-specification does not prevent solvability.",
+  "frontier_hardness": {
+    "score": 4,
+    "reason": "This is genuinely hard because the solver must reconstruct a multi-layer chain involving annual totals, AHT ratios, helper ranking, and final ranked lookup/alignment across many masked cells. It is single-sheet and visible structure exists, so it is not fundamentally unsolvable, but the depth and pattern diversity would likely make frontier models struggle.",
+    "fail_reason": "deep_chain",
+    "is_valid_hardness": true
+  },
+  "_prompt_chars": 72356,
+  "_timing_load_workbooks": 0.43,
+  "_timing_context": 0.1,
+  "_timing_api": 59.12,
+  "local_difficulty": {
+    "difficulty_score": 64.2,
+    "difficulty": "hard",
+    "depth": 4,
+    "total_masked": 49,
+    "is_cross_sheet": false,
+    "unique_patterns": 37,
+    "avg_complexity": 8,
+    "cross_refs": 0,
+    "visible_exemplar_ratio": 0.5
+  },
+  "task_id": "single_sheet__dag_7af4d20cd58a",
+  "elapsed": 59.6,
+  "publish_decision": "YES",
+  "release_tier": "FRONTIER_HARD",
+  "hard_block_reasons": []
+}

FormulaCascade_Benchmark_eval_200/T1_FRONTIER/internal/FCB-00511/target_contract.json

@@ -0,0 +1,363 @@
+{
+  "task_id": "single_sheet__dag_7af4d20cd58a",
+  "category": "single_sheet",
+  "depth": 4,
+  "final_target": {
+    "regions": [
+      {
+        "sheet": "AHT Summary",
+        "column": "L",
+        "column_header": "AHT",
+        "cell_range": "L3:L9",
+        "cell_count": 7,
+        "rows": [
+          3,
+          4,
+          5,
+          6,
+          7,
+          8,
+          9
+        ],
+        "first_row_label": "A942",
+        "last_row_label": "A3784"
+      }
+    ],
+    "cell_count": 7,
+    "formula_families": [
+      "lookup"
+    ]
+  },
+  "prerequisite_steps": [
+    {
+      "layer": 4,
+      "regions": [
+        {
+          "sheet": "AHT Summary",
+          "column": "C",
+          "column_header": "Name",
+          "cell_range": "C25",
+          "cell_count": 1,
+          "rows": [
+            25
+          ],
+          "first_row_label": "Annual Average",
+          "last_row_label": ""
+        },
+        {
+          "sheet": "AHT Summary",
+          "column": "F",
+          "column_header": "",
+          "cell_range": "F25",
+          "cell_count": 1,
+          "rows": [
+            25
+          ],
+          "first_row_label": "Annual Average",
+          "last_row_label": ""
+        },
+        {
+          "sheet": "AHT Summary",
+          "column": "I",
+          "column_header": "Employee ID",
+          "cell_range": "I25",
+          "cell_count": 1,
+          "rows": [
+            25
+          ],
+          "first_row_label": "Annual Average",
+          "last_row_label": ""
+        },
+        {
+          "sheet": "AHT Summary",
+          "column": "L",
+          "column_header": "AHT",
+          "cell_range": "L25",
+          "cell_count": 1,
+          "rows": [
+            25
+          ],
+          "first_row_label": "Annual Average",
+          "last_row_label": ""
+        },
+        {
+          "sheet": "AHT Summary",
+          "column": "O",
+          "column_header": "",
+          "cell_range": "O25",
+          "cell_count": 1,
+          "rows": [
+            25
+          ],
+          "first_row_label": "Annual Average",
+          "last_row_label": ""
+        },
+        {
+          "sheet": "AHT Summary",
+          "column": "R",
+          "column_header": "",
+          "cell_range": "R25",
+          "cell_count": 1,
+          "rows": [
+            25
+          ],
+          "first_row_label": "Annual Average",
+          "last_row_label": ""
+        },
+        {
+          "sheet": "AHT Summary",
+          "column": "U",
+          "column_header": "",
+          "cell_range": "U25",
+          "cell_count": 1,
+          "rows": [
+            25
+          ],
+          "first_row_label": "Annual Average",
+          "last_row_label": ""
+        }
+      ],
+      "cell_count": 7
+    },
+    {
+      "layer": 3,
+      "regions": [
+        {
+          "sheet": "AHT Summary",
+          "column": "D",
+          "column_header": "No Of Calls",
+          "cell_range": "D25",
+          "cell_count": 1,
+          "rows": [
+            25
+          ],
+          "first_row_label": "Annual Average",
+          "last_row_label": ""
+        },
+        {
+          "sheet": "AHT Summary",
+          "column": "E",
+          "column_header": "AHT",
+          "cell_range": "E25",
+          "cell_count": 1,
+          "rows": [
+            25
+          ],
+          "first_row_label": "Annual Average",
+          "last_row_label": ""
+        },
+        {
+          "sheet": "AHT Summary",
+          "column": "G",
+          "column_header": "",
+          "cell_range": "G25",
+          "cell_count": 1,
+          "rows": [
+            25
+          ],
+          "first_row_label": "Annual Average",
+          "last_row_label": ""
+        },
+        {
+          "sheet": "AHT Summary",
+          "column": "H",
+          "column_header": "Ranking",
+          "cell_range": "H25",
+          "cell_count": 1,
+          "rows": [
+            25
+          ],
+          "first_row_label": "Annual Average",
+          "last_row_label": ""
+        },
+        {
+          "sheet": "AHT Summary",
+          "column": "J",
+          "column_header": "Name",
+          "cell_range": "J25",
+          "cell_count": 1,
+          "rows": [
+            25
+          ],
+          "first_row_label": "Annual Average",
+          "last_row_label": ""
+        },
+        {
+          "sheet": "AHT Summary",
+          "column": "K",
+          "column_header": "No Of Calls",
+          "cell_range": "K25",
+          "cell_count": 1,
+          "rows": [
+            25
+          ],
+          "first_row_label": "Annual Average",
+          "last_row_label": ""
+        },
+        {
+          "sheet": "AHT Summary",
+          "column": "M",
+          "column_header": "",
+          "cell_range": "M25",
+          "cell_count": 1,
+          "rows": [
+            25
+          ],
+          "first_row_label": "Annual Average",
+          "last_row_label": ""
+        },
+        {
+          "sheet": "AHT Summary",
+          "column": "N",
+          "column_header": "",
+          "cell_range": "N25",
+          "cell_count": 1,
+          "rows": [
+            25
+          ],
+          "first_row_label": "Annual Average",
+          "last_row_label": ""
+        },
+        {
+          "sheet": "AHT Summary",
+          "column": "P",
+          "column_header": "",
+          "cell_range": "P25",
+          "cell_count": 1,
+          "rows": [
+            25
+          ],
+          "first_row_label": "Annual Average",
+          "last_row_label": ""
+        },
+        {
+          "sheet": "AHT Summary",
+          "column": "Q",
+          "column_header": "",
+          "cell_range": "Q25",
+          "cell_count": 1,
+          "rows": [
+            25
+          ],
+          "first_row_label": "Annual Average",
+          "last_row_label": ""
+        },
+        {
+          "sheet": "AHT Summary",
+          "column": "S",
+          "column_header": "",
+          "cell_range": "S25",
+          "cell_count": 1,
+          "rows": [
+            25
+          ],
+          "first_row_label": "Annual Average",
+          "last_row_label": ""
+        },
+        {
+          "sheet": "AHT Summary",
+          "column": "T",
+          "column_header": "",
+          "cell_range": "T25",
+          "cell_count": 1,
+          "rows": [
+            25
+          ],
+          "first_row_label": "Annual Average",
+          "last_row_label": ""
+        },
+        {
+          "sheet": "AHT Summary",
+          "column": "V",
+          "column_header": "",
+          "cell_range": "V25",
+          "cell_count": 1,
+          "rows": [
+            25
+          ],
+          "first_row_label": "Annual Average",
+          "last_row_label": ""
+        },
+        {
+          "sheet": "AHT Summary",
+          "column": "W",
+          "column_header": "",
+          "cell_range": "W25",
+          "cell_count": 1,
+          "rows": [
+            25
+          ],
+          "first_row_label": "Annual Average",
+          "last_row_label": ""
+        }
+      ],
+      "cell_count": 14
+    },
+    {
+      "layer": 2,
+      "regions": [
+        {
+          "sheet": "AHT Summary",
+          "column": "A",
+          "column_header": "",
+          "cell_range": "A3:A9",
+          "cell_count": 7,
+          "rows": [
+            3,
+            4,
+            5,
+            6,
+            7,
+            8,
+            9
+          ],
+          "first_row_label": "A942",
+          "last_row_label": "A3784"
+        },
+        {
+          "sheet": "AHT Summary",
+          "column": "D",
+          "column_header": "No Of Calls",
+          "cell_range": "D3:D9",
+          "cell_count": 7,
+          "rows": [
+            3,
+            4,
+            5,
+            6,
+            7,
+            8,
+            9
+          ],
+          "first_row_label": "A942",
+          "last_row_label": "A3784"
+        },
+        {
+          "sheet": "AHT Summary",
+          "column": "E",
+          "column_header": "AHT",
+          "cell_range": "E3:E9",
+          "cell_count": 7,
+          "rows": [
+            3,
+            4,
+            5,
+            6,
+            7,
+            8,
+            9
+          ],
+          "first_row_label": "A942",
+          "last_row_label": "A3784"
+        }
+      ],
+      "cell_count": 21
+    }
+  ],
+  "total_prerequisite_cells": 42,
+  "total_masked_cells": 49,
+  "ratio_total_vs_final": 7.0,
+  "sheets_involved": [
+    "AHT Summary"
+  ]
+}

FormulaCascade_Benchmark_eval_200/T1_FRONTIER/internal/FCB-00511/task_meta.json

@@ -0,0 +1,113 @@
+{
+  "fcb_id": "FCB-00511",
+  "task_id": "single_sheet__dag_7af4d20cd58a",
+  "tier": "T1_FRONTIER",
+  "category": "single_sheet",
+  "depth": 4,
+  "total_masked": 49,
+  "is_cross_sheet": false,
+  "prompt_en": "On the AHT Summary sheet, the HR roster-style data ties Employee ID and Name entries to break-time fields and summary columns such as AHT. Please complete the blank AHT values in column L for rows 3 through 9 on the AHT Summary sheet, keeping the entries aligned with the employees shown in those rows.\n\nSome related blank fields in the workbook feed into the summary, so make sure the supporting entries are in place before finalizing the AHT column. When you’re done, save the completed file as an .xlsx workbook.",
+  "prompt_cn": "在“AHT Summary”工作表中，这份 HR 名册类数据把 Employee ID、Name 与休息时间字段以及 AHT 等汇总列对应起来。请补全“AHT Summary”工作表中 L 列第 3 到第 9 行的空白 AHT 值，并确保这些内容与对应行的员工保持一致。\n\n工作簿里有些相关的空白字段会影响汇总内容，因此在最终填写 AHT 列之前，请先确保相关的支持信息已经补齐。完成后，请将文件保存为 .xlsx 工作簿。",
+  "qc": {
+    "total": 27,
+    "verdict": "RELEASE",
+    "D1": 5,
+    "D2": 5,
+    "D3": 4,
+    "D4": 4,
+    "D5": 5,
+    "D6": 4,
+    "frontier_hardness": 4,
+    "local_difficulty": 64.2
+  },
+  "source_file_id": "157459d1337753767-automatically-sort-the-data-and-ranking-based-on-the-sorted-data-schedule-calculator",
+  "inferred_domain": "hr",
+  "domain_confidence": 0.75,
+  "sheet_profiles": [
+    {
+      "name": "Break Timings",
+      "used_range": "B4:R27",
+      "row_count": 24,
+      "col_count": 17,
+      "has_header": false,
+      "title_hint": "Break Timings",
+      "header_info": null
+    },
+    {
+      "name": "Annual Average",
+      "used_range": "B1:R19",
+      "row_count": 19,
+      "col_count": 17,
+      "has_header": false,
+      "title_hint": "Annual Average",
+      "header_info": null
+    },
+    {
+      "name": "Quality Summary",
+      "used_range": "B1:M369",
+      "row_count": 369,
+      "col_count": 12,
+      "has_header": false,
+      "title_hint": "Quality Summary",
+      "header_info": null
+    },
+    {
+      "name": "Attendance",
+      "used_range": "A1:HR1243",
+      "row_count": 1243,
+      "col_count": 226,
+      "has_header": false,
+      "title_hint": "Attendance",
+      "header_info": null
+    },
+    {
+      "name": "AHT Summary",
+      "used_range": "A1:W27",
+      "row_count": 27,
+      "col_count": 23,
+      "has_header": false,
+      "title_hint": "AHT Summary",
+      "header_info": null
+    },
+    {
+      "name": "Ranking",
+      "used_range": "A1:T9",
+      "row_count": 9,
+      "col_count": 20,
+      "has_header": true,
+      "title_hint": "Ranking",
+      "header_info": {
+        "sheet": "Ranking",
+        "header_row": 1,
+        "headers": {
+          "B": "RANKING",
+          "C": "Employee ID",
+          "D": "Name",
+          "E": "Quality Score",
+          "F": "[Person_9] avg",
+          "G": "AHT",
+          "H": "AHT Weighted avg",
+          "I": "Attendance",
+          "J": "Att Weighted avg",
+          "K": "[Person_10]",
+          "L": "Sch. Weighted Avg.",
+          "M": "Initiatives",
+          "N": "Total Weighted Average",
+          "Q": "Ranking",
+          "R": "Employee ID",
+          "S": "Name",
+          "T": "AHT"
+        }
+      }
+    },
+    {
+      "name": "Sheet1",
+      "used_range": "B2:D16",
+      "row_count": 15,
+      "col_count": 3,
+      "has_header": false,
+      "title_hint": "Sheet1",
+      "header_info": null
+    }
+  ]
+}

FormulaCascade_Benchmark_eval_200/T1_FRONTIER/internal/FCB-00534/layers.json

@@ -0,0 +1,243 @@
+{
+  "dag_id": "dag_f778c6c6fbe2",
+  "file_id": "674025d1587638127-issue-with-excel-solver-for-optimizing-smoothning-constant-in-winthers-forecasting-model-forecasting-case-thomas",
+  "category": "cross_sheet",
+  "surface_category": "single_sheet",
+  "effective_category": "cross_sheet",
+  "depth": 4,
+  "quality": {
+    "chain_error_cells": 0,
+    "chain_external_cells": 0,
+    "is_clean": true
+  },
+  "layers": [
+    {
+      "layer_index": 1,
+      "new_pattern_groups": [
+        {
+          "region_ids": [
+            "rg_00135"
+          ],
+          "sheet": "Moving Average",
+          "col": "M",
+          "rows": [
+            7,
+            8,
+            9,
+            10,
+            11,
+            12,
+            13,
+            14,
+            15,
+            16,
+            17,
+            18,
+            19,
+            20,
+            21,
+            22
+          ],
+          "row_ranges": "7-22",
+          "row_count": 16,
+          "pattern_id": "pf_0053",
+          "normalized_pattern": "=SUMSQ([$I,$7]:[C-4,R])/([C-11,R]-4)",
+          "sample_formula": "=SUMSQ($I$7:I7)/(B7-4)"
+        }
+      ],
+      "new_eval_cells": 16,
+      "total_masked_cells": 16
+    },
+    {
+      "layer_index": 2,
+      "new_pattern_groups": [
+        {
+          "region_ids": [
+            "rg_00039"
+          ],
+          "sheet": "Moving Average",
+          "col": "B",
+          "rows": [
+            2,
+            3,
+            4,
+            5,
+            6,
+            7,
+            8,
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+            12,
+            13,
+            14,
+            15,
+            16,
+            17,
+            18,
+            19,
+            20,
+            21,
+            22
+          ],
+          "row_ranges": "2-22",
+          "row_count": 21,
+          "pattern_id": "pf_0001",
+          "normalized_pattern": "='PLASTICCASEDATA'![C,R]",
+          "sample_formula": "='Plastic Case Data'!B2"
+        },
+        {
+          "region_ids": [
+            "rg_00064"
+          ],
+          "sheet": "Moving Average",
+          "col": "I",
+          "rows": [
+            7,
+            8,
+            9,
+            10,
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+            12,
+            13,
+            14,
+            15,
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+            17,
+            18,
+            19,
+            20,
+            21,
+            22
+          ],
+          "row_ranges": "7-22",
+          "row_count": 16,
+          "pattern_id": "pf_0004",
+          "normalized_pattern": "=[C-2,R]-[C-6,R]",
+          "sample_formula": "=G7-C7"
+        }
+      ],
+      "new_eval_cells": 37,
+      "total_masked_cells": 53
+    },
+    {
+      "layer_index": 3,
+      "new_pattern_groups": [
+        {
+          "region_ids": [
+            "rg_00032"
+          ],
+          "sheet": "Moving Average",
+          "col": "C",
+          "rows": [
+            1,
+            2,
+            3,
+            4,
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+            6,
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+            15,
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+            20,
+            21,
+            22
+          ],
+          "row_ranges": "1-22",
+          "row_count": 22,
+          "pattern_id": "pf_0001",
+          "normalized_pattern": "='PLASTICCASEDATA'![C,R]",
+          "sample_formula": "='Plastic Case Data'!C1"
+        },
+        {
+          "region_ids": [
+            "rg_00060"
+          ],
+          "sheet": "Moving Average",
+          "col": "G",
+          "rows": [
+            7,
+            8,
+            9,
+            10,
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+            12,
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+            17,
+            18,
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+            21,
+            22
+          ],
+          "row_ranges": "7-22",
+          "row_count": 16,
+          "pattern_id": "pf_0003",
+          "normalized_pattern": "=[C-2,R-1]",
+          "sample_formula": "=E6"
+        }
+      ],
+      "new_eval_cells": 38,
+      "total_masked_cells": 91
+    },
+    {
+      "layer_index": 4,
+      "new_pattern_groups": [
+        {
+          "region_ids": [
+            "rg_00097"
+          ],
+          "sheet": "Moving Average",
+          "col": "E",
+          "rows": [
+            6,
+            7,
+            8,
+            9,
+            10,
+            11,
+            12,
+            13,
+            14,
+            15,
+            16,
+            17,
+            18,
+            19,
+            20,
+            21,
+            22
+          ],
+          "row_ranges": "6-22",
+          "row_count": 17,
+          "pattern_id": "pf_0017",
+          "normalized_pattern": "=AVERAGE([C-2,R-3]:[C-2,R])",
+          "sample_formula": "=AVERAGE(C3:C6)"
+        }
+      ],
+      "new_eval_cells": 17,
+      "total_masked_cells": 108
+    }
+  ],
+  "sink": {
+    "region_id": "rg_00135",
+    "sheet": "Moving Average",
+    "col": "M",
+    "pattern_id": "pf_0053",
+    "row_count": 16,
+    "family_size": 16
+  }
+}

FormulaCascade_Benchmark_eval_200/T1_FRONTIER/internal/FCB-00534/nl_task.json

@@ -0,0 +1,26 @@
+{
+  "task_id": "cross_sheet__dag_f778c6c6fbe2",
+  "prompt_en": "The Moving Average sheet sits in a demand analysis workbook for Black Plastic and Clear Plastic, with visible fields such as Year, Quarter, Demand, and the SUMMARY OUTPUT sections for the related analysis. Please complete the blank entries in the MSE (BP) column on the Moving Average sheet, specifically the cells in M7:M22. Some of the surrounding blank columns in the workbook naturally need to be in place before the MSE (BP) column is ready, so make sure the workbook is internally consistent using the visible sheet labels and data. When you are done, save the completed file as an .xlsx workbook.",
+  "prompt_cn": "“Moving Average”工作表属于一个关于 Black Plastic 和 Clear Plastic 需求分析的工作簿，里面能看到 Year、Quarter、Demand 以及相关分析的 SUMMARY OUTPUT 等字段。请补全 “Moving Average” 工作表中 MSE (BP) 列的空白内容，位置是 M7:M22。工作簿中周围的一些空白列需要先保持一致，这样 MSE (BP) 列的内容才完整合理；请根据可见的工作表标签和数据把文件补齐。完成后，请将补全后的文件保存为 .xlsx 工作簿。",
+  "quality_notes": "The prompt identifies the workbook context, target sheet, target column, and range without giving calculation steps or operational hints. It mentions prerequisite context only generally and ends with the required .xlsx save instruction.",
+  "post_check_issues": [],
+  "prompt_mode": "minimal",
+  "hint_leakage": {
+    "score": 3,
+    "level": "low",
+    "max_possible": 100,
+    "dimensions": {
+      "operation_words": 0,
+      "cell_range_density": 3,
+      "step_by_step": 0,
+      "column_operation_mapping": 0,
+      "formula_pattern_hints": 0
+    },
+    "operation_words_found": [],
+    "cell_ranges_found": 1
+  },
+  "version": "v7",
+  "model": "gpt-5.5",
+  "elapsed": 63.6,
+  "attempt": 2
+}

FormulaCascade_Benchmark_eval_200/T1_FRONTIER/internal/FCB-00534/task_meta.json

@@ -0,0 +1,116 @@
+{
+  "fcb_id": "FCB-00534",
+  "task_id": "cross_sheet__dag_f778c6c6fbe2",
+  "tier": "T1_FRONTIER",
+  "category": "cross_sheet",
+  "depth": 4,
+  "total_masked": 108,
+  "is_cross_sheet": true,
+  "prompt_en": "The Moving Average sheet sits in a demand analysis workbook for Black Plastic and Clear Plastic, with visible fields such as Year, Quarter, Demand, and the SUMMARY OUTPUT sections for the related analysis. Please complete the blank entries in the MSE (BP) column on the Moving Average sheet, specifically the cells in M7:M22. Some of the surrounding blank columns in the workbook naturally need to be in place before the MSE (BP) column is ready, so make sure the workbook is internally consistent using the visible sheet labels and data. When you are done, save the completed file as an .xlsx workbook.",
+  "prompt_cn": "“Moving Average”工作表属于一个关于 Black Plastic 和 Clear Plastic 需求分析的工作簿，里面能看到 Year、Quarter、Demand 以及相关分析的 SUMMARY OUTPUT 等字段。请补全 “Moving Average” 工作表中 MSE (BP) 列的空白内容，位置是 M7:M22。工作簿中周围的一些空白列需要先保持一致，这样 MSE (BP) 列的内容才完整合理；请根据可见的工作表标签和数据把文件补齐。完成后，请将补全后的文件保存为 .xlsx 工作簿。",
+  "qc": {
+    "total": 26,
+    "verdict": "RELEASE",
+    "D1": 5,
+    "D2": 5,
+    "D3": 4,
+    "D4": 4,
+    "D5": 4,
+    "D6": 4,
+    "frontier_hardness": 4,
+    "local_difficulty": 87.9
+  },
+  "source_file_id": "674025d1587638127-issue-with-excel-solver-for-optimizing-smoothning-constant-in-winthers-forecasting-model-forecasting-case-thomas",
+  "inferred_domain": "data_analysis",
+  "domain_confidence": 0.75,
+  "sheet_profiles": [
+    {
+      "name": "Plastic Case Data",
+      "used_range": "A1:D22",
+      "row_count": 22,
+      "col_count": 4,
+      "has_header": true,
+      "title_hint": "Plastic Case Data",
+      "header_info": {
+        "sheet": "Plastic Case Data",
+        "header_row": 1,
+        "headers": {
+          "C": "Black Plastic",
+          "D": "Clear Plastic"
+        }
+      }
+    },
+    {
+      "name": "Regression BP",
+      "used_range": "A1:I18",
+      "row_count": 18,
+      "col_count": 9,
+      "has_header": false,
+      "title_hint": "Regression BP",
+      "header_info": null
+    },
+    {
+      "name": "Regression CP",
+      "used_range": "A1:I18",
+      "row_count": 18,
+      "col_count": 9,
+      "has_header": false,
+      "title_hint": "Regression CP",
+      "header_info": null
+    },
+    {
+      "name": "Static Model",
+      "used_range": "A1:O34",
+      "row_count": 34,
+      "col_count": 15,
+      "has_header": false,
+      "title_hint": "Static Model",
+      "header_info": null
+    },
+    {
+      "name": "Moving Average",
+      "used_range": "A1:V22",
+      "row_count": 22,
+      "col_count": 22,
+      "has_header": false,
+      "title_hint": "Moving Average",
+      "header_info": null
+    },
+    {
+      "name": "Simple Exponential Smoothening",
+      "used_range": "A1:V23",
+      "row_count": 23,
+      "col_count": 22,
+      "has_header": false,
+      "title_hint": "Simple Exponential Smoothening",
+      "header_info": null
+    },
+    {
+      "name": "Holts",
+      "used_range": "A1:X31",
+      "row_count": 31,
+      "col_count": 24,
+      "has_header": false,
+      "title_hint": "Holts",
+      "header_info": null
+    },
+    {
+      "name": "Winthers",
+      "used_range": "A1:AF37",
+      "row_count": 37,
+      "col_count": 32,
+      "has_header": false,
+      "title_hint": "Winthers",
+      "header_info": null
+    },
+    {
+      "name": "Comparison Matrix ",
+      "used_range": "B3:J8",
+      "row_count": 6,
+      "col_count": 9,
+      "has_header": false,
+      "title_hint": "Comparison Matrix",
+      "header_info": null
+    }
+  ]
+}