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FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-00841/audit.json

@@ -0,0 +1,514 @@
+{
+  "gate": {
+    "pre_nl_gate": {
+      "gate_label": "GATE_PASS",
+      "gate_pass": true,
+      "hard_fails": 0,
+      "warns": 1,
+      "checks": [
+        {
+          "check": "final_target_gate",
+          "pass": true,
+          "detail": "final_target has 10 cells"
+        },
+        {
+          "check": "header_grounding",
+          "pass": true,
+          "severity": "pass",
+          "detail": "1/1 final regions have column_header"
+        },
+        {
+          "check": "mask_consistency",
+          "pass": true,
+          "detail": "mask_last=16413B, src=24791B"
+        },
+        {
+          "check": "dirty_family",
+          "pass": true,
+          "detail": "0 dirty cells"
+        },
+        {
+          "check": "ratio_gate",
+          "pass": true,
+          "detail": "ratio=3.1 (total=31, final=10)"
+        },
+        {
+          "check": "dedup_gate",
+          "pass": true,
+          "detail": "0 duplicate cells across layers"
+        },
+        {
+          "check": "gt_uniqueness",
+          "pass": true,
+          "detail": "30 unique values across 30 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": "warn",
+          "detail": "20 lookups; AMBIGUOUS: Sheet1!C19: 1 dup keys in Sheet2!A22:90; Sheet1!C20: 1 dup keys in Sheet2!A22:91; Sheet1!C21: 1 dup keys in Sheet2!A22:92"
+        },
+        {
+          "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": 3,
+      "checks": [
+        {
+          "check": "cell_range_match",
+          "pass": false,
+          "detail": "contract=4, prompt=1, missing=1",
+          "missing_ranges": [
+            "C19:C28"
+          ],
+          "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": false,
+          "detail": "contract=['Sheet1', 'Sheet2'], missing=['Sheet2']",
+          "severity": "INFO"
+        },
+        {
+          "check": "no_formula_leak",
+          "pass": true,
+          "detail": "0 formula leaks",
+          "severity": "OK"
+        },
+        {
+          "check": "no_value_leak",
+          "pass": true,
+          "detail": "0 value leaks out of 10 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 [Sheet2]",
+          "severity": "SOFT_WARN"
+        },
+        {
+          "check": "exemplar_consistency",
+          "pass": true,
+          "severity": "OK",
+          "detail": "checked 4 col groups; CONFLICTS: Sheet1!C6: visible='=VLOOKUP(B6,Sheet2!A$22:E90,5,' vs GT pattern='=VLOOKUP(A#,Sheet#!A$#:E#,#,FA'; Sheet1!C7: visible='=VLOOKUP(B7,Sheet2!A$22:E91,5,' vs GT pattern='=VLOOKUP(A#,Sheet#!A$#:E#,#,FA'"
+        },
+        {
+          "check": "nl_gt_operation_consistency",
+          "pass": false,
+          "detail": "GT funcs: ['COUNTA', 'VLOOKUP']; MISMATCHES: GT uses VLOOKUP but NL doesn't mention any of: find, look up, lookup, match",
+          "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 31 GT cells (3%); examples: Sheet1!A26=30",
+          "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": 31,
+      "total_non_none": 31,
+      "block_reasons": [],
+      "warnings": [
+        "mixed_gt_types:{'float': 10, 'str': 10, 'int': 11}"
+      ],
+      "checks": {
+        "rank_tie_risk": {
+          "rank_cells": 0,
+          "tie_issues": 0,
+          "details": []
+        },
+        "trivial_gt": {
+          "issues": []
+        },
+        "gt_type_consistency": {
+          "types": {
+            "float": 10,
+            "str": 10,
+            "int": 11
+          },
+          "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": 31
+      }
+    },
+    "solver_visibility": {
+      "contract_cells": 31,
+      "total_masked": 31,
+      "total_visible": 645,
+      "depth": 4,
+      "block_reasons": [
+        "broken_chains:14/31=45.2%"
+      ],
+      "warnings": [],
+      "checks": {
+        "broken_chains": {
+          "count": 14,
+          "checked": 31,
+          "details": [
+            {
+              "cell": "Sheet1!C20",
+              "missing_dep": "Sheet2!A22",
+              "formula": "=VLOOKUP(A20,Sheet2!A$22:E91,5,FALSE)"
+            },
+            {
+              "cell": "Sheet1!C26",
+              "missing_dep": "Sheet2!A22",
+              "formula": "=VLOOKUP(A26,Sheet2!A$22:E97,5,FALSE)"
+            },
+            {
+              "cell": "Sheet1!C23",
+              "missing_dep": "Sheet2!A22",
+              "formula": "=VLOOKUP(A23,Sheet2!A$22:E94,5,FALSE)"
+            },
+            {
+              "cell": "Sheet1!D21",
+              "missing_dep": "Sheet2!E60",
+              "formula": "=VLOOKUP(C21,Sheet2!E$22:K92,7,FALSE)"
+            },
+            {
+              "cell": "Sheet1!C19",
+              "missing_dep": "Sheet2!A22",
+              "formula": "=VLOOKUP(A19,Sheet2!A$22:E90,5,FALSE)"
+            },
+            {
+              "cell": "Sheet1!C22",
+              "missing_dep": "Sheet2!A22",
+              "formula": "=VLOOKUP(A22,Sheet2!A$22:E93,5,FALSE)"
+            },
+            {
+              "cell": "Sheet1!C28",
+              "missing_dep": "Sheet2!A22",
+              "formula": "=VLOOKUP(A28,Sheet2!A$22:E99,5,FALSE)"
+            },
+            {
+              "cell": "Sheet1!C25",
+              "missing_dep": "Sheet2!A22",
+              "formula": "=VLOOKUP(A25,Sheet2!A$22:E96,5,FALSE)"
+            },
+            {
+              "cell": "Sheet1!D20",
+              "missing_dep": "Sheet2!E60",
+              "formula": "=VLOOKUP(C20,Sheet2!E$22:K91,7,FALSE)"
+            },
+            {
+              "cell": "Sheet1!C21",
+              "missing_dep": "Sheet2!A22",
+              "formula": "=VLOOKUP(A21,Sheet2!A$22:E92,5,FALSE)"
+            },
+            {
+              "cell": "Sheet1!C24",
+              "missing_dep": "Sheet2!A22",
+              "formula": "=VLOOKUP(A24,Sheet2!A$22:E95,5,FALSE)"
+            },
+            {
+              "cell": "Sheet1!C27",
+              "missing_dep": "Sheet2!A22",
+              "formula": "=VLOOKUP(A27,Sheet2!A$22:E98,5,FALSE)"
+            },
+            {
+              "cell": "Sheet2!A6",
+              "missing_dep": "Sheet2!E60",
+              "formula": "=COUNTA(E22:E100)-1"
+            },
+            {
+              "cell": "Sheet1!D19",
+              "missing_dep": "Sheet2!E60",
+              "formula": "=VLOOKUP(C19,Sheet2!E$22:K90,7,FALSE)"
+            }
+          ]
+        },
+        "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": 15,
+          "zero_exemplar_count": 1,
+          "low_exemplar_count": 0
+        },
+        "zero_exemplar_patterns": {
+          "pass": false,
+          "patterns": [
+            {
+              "pattern": "=COUNTA(RANGE)-1",
+              "total_in_src": 1,
+              "sample_formula": "=COUNTA(E22:E100)-1"
+            }
+          ]
+        },
+        "low_exemplar_patterns": {
+          "pass": true,
+          "patterns": []
+        },
+        "func_coverage": {
+          "COUNTA": {
+            "total_masked": 1,
+            "visible_exemplars": 0
+          },
+          "arithmetic": {
+            "total_masked": 9,
+            "visible_exemplars": 56
+          },
+          "reference": {
+            "total_masked": 1,
+            "visible_exemplars": 2
+          },
+          "VLOOKUP": {
+            "total_masked": 20,
+            "visible_exemplars": 110
+          }
+        }
+      }
+    },
+    "shortcut": {
+      "shortcut_risk": 0.5,
+      "flags": [
+        {
+          "code": "SC2",
+          "description": "Arithmetic sequence in Sheet1!A: step=-1",
+          "affected_cells": 9,
+          "severity": "medium"
+        }
+      ]
+    },
+    "release_audit": {
+      "surface_single_sheet": false,
+      "surface_sheets": [
+        "Sheet1",
+        "Sheet2"
+      ],
+      "cross_sheet_actual": true,
+      "cross_sheet_ref_count": 21,
+      "referenced_sheets": [
+        "Sheet2"
+      ],
+      "target_shape": "single_column_series",
+      "layer_sizes": [
+        10,
+        10,
+        10,
+        1
+      ],
+      "mask_last_total_cells": 31,
+      "layer_growth_ratios": [
+        1.0,
+        1.0,
+        0.1
+      ],
+      "pattern_dominance_ratio": 0.3226,
+      "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": "cross_sheet__dag_effeb10fe84c",
+    "difficulty_score": 68.4,
+    "difficulty": "hard",
+    "depth": 4,
+    "total_masked": 31,
+    "is_cross_sheet": true,
+    "unique_patterns": 5,
+    "avg_complexity": 5.0,
+    "cross_refs": 0,
+    "visible_exemplar_ratio": 0.5,
+    "score_breakdown": {
+      "depth": 21,
+      "cross_sheet": 10,
+      "cell_count": 9.9,
+      "patterns": 15,
+      "complexity": 7.5,
+      "cross_refs": 0,
+      "vis_penalty": 5.0
+    }
+  }
+}

FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-00841/ground_truth_full.json

@@ -0,0 +1,281 @@
+[
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+    "row": 19,
+    "formula": "=VLOOKUP(C19,Sheet2!E$22:K90,7,FALSE)",
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+    "pattern_id": "pf_0013",
+    "layer": 1
+  },
+  {
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+    "formula": "=VLOOKUP(C20,Sheet2!E$22:K91,7,FALSE)",
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+    "pattern_id": "pf_0013",
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+  {
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+    "formula": "=VLOOKUP(C21,Sheet2!E$22:K92,7,FALSE)",
+    "cached_value": 0.1165,
+    "pattern_id": "pf_0013",
+    "layer": 1
+  },
+  {
+    "sheet": "Sheet1",
+    "col": "D",
+    "row": 22,
+    "formula": "=VLOOKUP(C22,Sheet2!E$22:K93,7,FALSE)",
+    "cached_value": 0.1255,
+    "pattern_id": "pf_0013",
+    "layer": 1
+  },
+  {
+    "sheet": "Sheet1",
+    "col": "D",
+    "row": 23,
+    "formula": "=VLOOKUP(C23,Sheet2!E$22:K94,7,FALSE)",
+    "cached_value": 0.1264,
+    "pattern_id": "pf_0013",
+    "layer": 1
+  },
+  {
+    "sheet": "Sheet1",
+    "col": "D",
+    "row": 24,
+    "formula": "=VLOOKUP(C24,Sheet2!E$22:K95,7,FALSE)",
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+    "pattern_id": "pf_0013",
+    "layer": 1
+  },
+  {
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+    "col": "D",
+    "row": 25,
+    "formula": "=VLOOKUP(C25,Sheet2!E$22:K96,7,FALSE)",
+    "cached_value": 0.1338,
+    "pattern_id": "pf_0013",
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+  {
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+    "col": "D",
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+    "cached_value": 0.1508,
+    "pattern_id": "pf_0013",
+    "layer": 1
+  },
+  {
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+    "row": 27,
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+    "cached_value": 0.1545,
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+  },
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+    "pattern_id": "pf_0013",
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+    "row": 20,
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+    "pattern_id": "pf_0004",
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+    "formula": "=A20-1",
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+    "pattern_id": "pf_0004",
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+    "formula": "=A25-1",
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+    "pattern_id": "pf_0004",
+    "layer": 3
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+  {
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+    "col": "A",
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+    "formula": "=A26-1",
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+    "pattern_id": "pf_0004",
+    "layer": 3
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+  {
+    "sheet": "Sheet1",
+    "col": "A",
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+    "formula": "=A27-1",
+    "cached_value": 28,
+    "pattern_id": "pf_0004",
+    "layer": 3
+  },
+  {
+    "sheet": "Sheet1",
+    "col": "A",
+    "row": 19,
+    "formula": "=Sheet2!A6",
+    "cached_value": 37,
+    "pattern_id": "pf_0018",
+    "layer": 3
+  },
+  {
+    "sheet": "Sheet2",
+    "col": "A",
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+    "formula": "=COUNTA(E22:E100)-1",
+    "cached_value": 37,
+    "pattern_id": "pf_0022",
+    "layer": 4
+  }
+]

FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-00841/ground_truth_target.json

@@ -0,0 +1,82 @@
+[
+  {
+    "sheet": "Sheet1",
+    "col": "D",
+    "row": 19,
+    "formula": "=VLOOKUP(C19,Sheet2!E$22:K90,7,FALSE)",
+    "cached_value": 0.1062,
+    "pattern_id": "pf_0013"
+  },
+  {
+    "sheet": "Sheet1",
+    "col": "D",
+    "row": 20,
+    "formula": "=VLOOKUP(C20,Sheet2!E$22:K91,7,FALSE)",
+    "cached_value": 0.113,
+    "pattern_id": "pf_0013"
+  },
+  {
+    "sheet": "Sheet1",
+    "col": "D",
+    "row": 21,
+    "formula": "=VLOOKUP(C21,Sheet2!E$22:K92,7,FALSE)",
+    "cached_value": 0.1165,
+    "pattern_id": "pf_0013"
+  },
+  {
+    "sheet": "Sheet1",
+    "col": "D",
+    "row": 22,
+    "formula": "=VLOOKUP(C22,Sheet2!E$22:K93,7,FALSE)",
+    "cached_value": 0.1255,
+    "pattern_id": "pf_0013"
+  },
+  {
+    "sheet": "Sheet1",
+    "col": "D",
+    "row": 23,
+    "formula": "=VLOOKUP(C23,Sheet2!E$22:K94,7,FALSE)",
+    "cached_value": 0.1264,
+    "pattern_id": "pf_0013"
+  },
+  {
+    "sheet": "Sheet1",
+    "col": "D",
+    "row": 24,
+    "formula": "=VLOOKUP(C24,Sheet2!E$22:K95,7,FALSE)",
+    "cached_value": 0.1282,
+    "pattern_id": "pf_0013"
+  },
+  {
+    "sheet": "Sheet1",
+    "col": "D",
+    "row": 25,
+    "formula": "=VLOOKUP(C25,Sheet2!E$22:K96,7,FALSE)",
+    "cached_value": 0.1338,
+    "pattern_id": "pf_0013"
+  },
+  {
+    "sheet": "Sheet1",
+    "col": "D",
+    "row": 26,
+    "formula": "=VLOOKUP(C26,Sheet2!E$22:K97,7,FALSE)",
+    "cached_value": 0.1508,
+    "pattern_id": "pf_0013"
+  },
+  {
+    "sheet": "Sheet1",
+    "col": "D",
+    "row": 27,
+    "formula": "=VLOOKUP(C27,Sheet2!E$22:K98,7,FALSE)",
+    "cached_value": 0.1545,
+    "pattern_id": "pf_0013"
+  },
+  {
+    "sheet": "Sheet1",
+    "col": "D",
+    "row": 28,
+    "formula": "=VLOOKUP(C28,Sheet2!E$22:K99,7,FALSE)",
+    "cached_value": 0.1604,
+    "pattern_id": "pf_0013"
+  }
+]

FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-00841/target_contract.json

@@ -0,0 +1,115 @@
+{
+  "task_id": "cross_sheet__dag_effeb10fe84c",
+  "category": "cross_sheet",
+  "depth": 4,
+  "final_target": {
+    "regions": [
+      {
+        "sheet": "Sheet1",
+        "column": "D",
+        "column_header": "Store 8",
+        "cell_range": "D19:D28",
+        "cell_count": 10,
+        "rows": [
+          19,
+          20,
+          21,
+          22,
+          23,
+          24,
+          25,
+          26,
+          27,
+          28
+        ],
+        "first_row_label": "Store 32",
+        "last_row_label": "Store 17"
+      }
+    ],
+    "cell_count": 10,
+    "formula_families": [
+      "lookup"
+    ]
+  },
+  "prerequisite_steps": [
+    {
+      "layer": 4,
+      "regions": [
+        {
+          "sheet": "Sheet2",
+          "column": "A",
+          "column_header": "# of Stores",
+          "cell_range": "A6",
+          "cell_count": 1,
+          "rows": [
+            6
+          ],
+          "first_row_label": "PASTE HERE ------>",
+          "last_row_label": ""
+        }
+      ],
+      "cell_count": 1
+    },
+    {
+      "layer": 3,
+      "regions": [
+        {
+          "sheet": "Sheet1",
+          "column": "A",
+          "column_header": "",
+          "cell_range": "A19:A28",
+          "cell_count": 10,
+          "rows": [
+            19,
+            20,
+            21,
+            22,
+            23,
+            24,
+            25,
+            26,
+            27,
+            28
+          ],
+          "first_row_label": "Store 32",
+          "last_row_label": "Store 17"
+        }
+      ],
+      "cell_count": 10
+    },
+    {
+      "layer": 2,
+      "regions": [
+        {
+          "sheet": "Sheet1",
+          "column": "C",
+          "column_header": "Bottom 10 Margin",
+          "cell_range": "C19:C28",
+          "cell_count": 10,
+          "rows": [
+            19,
+            20,
+            21,
+            22,
+            23,
+            24,
+            25,
+            26,
+            27,
+            28
+          ],
+          "first_row_label": "Store 32",
+          "last_row_label": "Store 17"
+        }
+      ],
+      "cell_count": 10
+    }
+  ],
+  "total_prerequisite_cells": 21,
+  "total_masked_cells": 31,
+  "ratio_total_vs_final": 3.1,
+  "sheets_involved": [
+    "Sheet1",
+    "Sheet2"
+  ]
+}

FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-00851/audit.json

@@ -0,0 +1,415 @@
+{
+  "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 24 cells"
+        },
+        {
+          "check": "header_grounding",
+          "pass": true,
+          "severity": "pass",
+          "detail": "1/1 final regions have column_header"
+        },
+        {
+          "check": "mask_consistency",
+          "pass": true,
+          "detail": "mask_last=74497B, src=87507B"
+        },
+        {
+          "check": "dirty_family",
+          "pass": true,
+          "detail": "0 dirty cells"
+        },
+        {
+          "check": "ratio_gate",
+          "pass": true,
+          "detail": "ratio=4.0 (total=96, final=24)"
+        },
+        {
+          "check": "dedup_gate",
+          "pass": true,
+          "detail": "0 duplicate cells across layers"
+        },
+        {
+          "check": "gt_uniqueness",
+          "pass": true,
+          "detail": "19 unique values across 96 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": {
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+              "pass": true,
+              "count": 0,
+              "cells": []
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+            "external_refs": {
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+              "count": 0,
+              "cells": []
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+              "count": 0,
+              "cells": []
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+            "missing_sheets": {
+              "pass": true,
+              "count": 0,
+              "sheets": []
+            },
+            "circular_refs": {
+              "pass": true,
+              "cycle_cells": []
+            }
+          }
+        },
+        {
+          "check": "uniqueness_deep",
+          "pass": true,
+          "severity": "ok",
+          "detail": "clean"
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+      ]
+    },
+    "post_nl_validate": {
+      "validate_label": "SOFT_WARN",
+      "validate_pass": true,
+      "hard_fails": 0,
+      "soft_warns": 1,
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+          "pass": false,
+          "detail": "contract=4, prompt=1, missing=3",
+          "missing_ranges": [
+            "H7:H30",
+            "K7:K30",
+            "M7:M30"
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+          "severity": "SOFT_WARN"
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+        {
+          "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=['May2'], 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 24 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: ['IF']",
+          "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 96 GT cells (0%)",
+          "severity": "OK"
+        }
+      ]
+    },
+    "pre_nl_local": {
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+      "local_label": "PENDING_NL",
+      "hard_fail_flags": [],
+      "warnings": [
+        "nl_missing"
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+      "local_subscores": {
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+        "target_integrity": 15,
+        "taxonomy": 10,
+        "semantic_signal": 8,
+        "nl_schema": 0,
+        "target_alignment": 0,
+        "business_specificity": 0,
+        "nl_risk": 0
+      }
+    }
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+      "total_non_none": 96,
+      "block_reasons": [],
+      "warnings": [],
+      "checks": {
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+          "details": []
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+        "trivial_gt": {
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+        "gt_type_consistency": {
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+        "empty_gt": {
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+          "details": []
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+      }
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+    "src_chain": {
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+          "count": 0,
+          "cells": []
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+          "sheets": []
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+        "circular_refs": {
+          "pass": true,
+          "cycle_cells": []
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+      "total_visible": 4975,
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+      "block_reasons": [],
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+          "details": []
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+          "missing_sheets": []
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+    "exemplar": {
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+      "block_reasons": [],
+      "checks": {
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+          "total_src_patterns": 113,
+          "zero_exemplar_count": 0,
+          "low_exemplar_count": 0
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+        "zero_exemplar_patterns": {
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+          "patterns": []
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+        "low_exemplar_patterns": {
+          "pass": true,
+          "patterns": []
+        },
+        "func_coverage": {
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+            "visible_exemplars": 1048
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+      }
+    },
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+      "flags": [
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+          "description": "Copy-from-visible: 16/96 GT cells have nearby visible formula clones",
+          "affected_cells": 16,
+          "severity": "low"
+        }
+      ]
+    },
+    "release_audit": {
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+      "surface_sheets": [
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+      "cross_sheet_ref_count": 0,
+      "referenced_sheets": [],
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+      "promptability_score": 1.0,
+      "release_reasons": [],
+      "release_verdict": "KEEP"
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+  },
+  "difficulty": {
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+    "difficulty_score": 68.6,
+    "difficulty": "hard",
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+    "total_masked": 96,
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+    "unique_patterns": 5,
+    "avg_complexity": 7.0,
+    "cross_refs": 0,
+    "visible_exemplar_ratio": 0.111,
+    "score_breakdown": {
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+      "cross_sheet": 0,
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+      "patterns": 15,
+      "complexity": 10.5,
+      "cross_refs": 0,
+      "vis_penalty": 8.9
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+  }
+}

FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-00851/ground_truth_full.json

@@ -0,0 +1,866 @@
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+    "formula": "=IF(C30>0,G30-D30,\"\")",
+    "cached_value": 27.200000000000003,
+    "pattern_id": "pf_0000",
+    "layer": 4
+  }
+]

FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-00851/ground_truth_target.json

@@ -0,0 +1,194 @@
+[
+  {
+    "sheet": "May2",
+    "col": "T",
+    "row": 7,
+    "formula": "=IF(C7=0,\"\",M7)",
+    "cached_value": 649.4000000000001,
+    "pattern_id": "pf_0007"
+  },
+  {
+    "sheet": "May2",
+    "col": "T",
+    "row": 8,
+    "formula": "=IF(C8=0,\"\",M8)",
+    "cached_value": 782.8000000000001,
+    "pattern_id": "pf_0007"
+  },
+  {
+    "sheet": "May2",
+    "col": "T",
+    "row": 9,
+    "formula": "=IF(C9=0,\"\",M9)",
+    "cached_value": 700.4000000000001,
+    "pattern_id": "pf_0007"
+  },
+  {
+    "sheet": "May2",
+    "col": "T",
+    "row": 10,
+    "formula": "=IF(C10=0,\"\",M10)",
+    "cached_value": 700.4000000000001,
+    "pattern_id": "pf_0007"
+  },
+  {
+    "sheet": "May2",
+    "col": "T",
+    "row": 11,
+    "formula": "=IF(C11=0,\"\",M11)",
+    "cached_value": 659.2,
+    "pattern_id": "pf_0007"
+  },
+  {
+    "sheet": "May2",
+    "col": "T",
+    "row": 12,
+    "formula": "=IF(C12=0,\"\",M12)",
+    "cached_value": 535.6,
+    "pattern_id": "pf_0007"
+  },
+  {
+    "sheet": "May2",
+    "col": "T",
+    "row": 13,
+    "formula": "=IF(C13=0,\"\",M13)",
+    "cached_value": 141.12000000000003,
+    "pattern_id": "pf_0007"
+  },
+  {
+    "sheet": "May2",
+    "col": "T",
+    "row": 14,
+    "formula": "=IF(C14=0,\"\",M14)",
+    "cached_value": 220.50000000000006,
+    "pattern_id": "pf_0007"
+  },
+  {
+    "sheet": "May2",
+    "col": "T",
+    "row": 15,
+    "formula": "=IF(C15=0,\"\",M15)",
+    "cached_value": 220.50000000000006,
+    "pattern_id": "pf_0007"
+  },
+  {
+    "sheet": "May2",
+    "col": "T",
+    "row": 16,
+    "formula": "=IF(C16=0,\"\",M16)",
+    "cached_value": 220.50000000000006,
+    "pattern_id": "pf_0007"
+  },
+  {
+    "sheet": "May2",
+    "col": "T",
+    "row": 17,
+    "formula": "=IF(C17=0,\"\",M17)",
+    "cached_value": 220.50000000000006,
+    "pattern_id": "pf_0007"
+  },
+  {
+    "sheet": "May2",
+    "col": "T",
+    "row": 18,
+    "formula": "=IF(C18=0,\"\",M18)",
+    "cached_value": 220.50000000000006,
+    "pattern_id": "pf_0007"
+  },
+  {
+    "sheet": "May2",
+    "col": "T",
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+    "formula": "=IF(C19=0,\"\",M19)",
+    "cached_value": 220.50000000000006,
+    "pattern_id": "pf_0007"
+  },
+  {
+    "sheet": "May2",
+    "col": "T",
+    "row": 20,
+    "formula": "=IF(C20=0,\"\",M20)",
+    "cached_value": 220.50000000000006,
+    "pattern_id": "pf_0007"
+  },
+  {
+    "sheet": "May2",
+    "col": "T",
+    "row": 21,
+    "formula": "=IF(C21=0,\"\",M21)",
+    "cached_value": 220.50000000000006,
+    "pattern_id": "pf_0007"
+  },
+  {
+    "sheet": "May2",
+    "col": "T",
+    "row": 22,
+    "formula": "=IF(C22=0,\"\",M22)",
+    "cached_value": 220.50000000000006,
+    "pattern_id": "pf_0007"
+  },
+  {
+    "sheet": "May2",
+    "col": "T",
+    "row": 23,
+    "formula": "=IF(C23=0,\"\",M23)",
+    "cached_value": 220.50000000000006,
+    "pattern_id": "pf_0007"
+  },
+  {
+    "sheet": "May2",
+    "col": "T",
+    "row": 24,
+    "formula": "=IF(C24=0,\"\",M24)",
+    "cached_value": 220.50000000000006,
+    "pattern_id": "pf_0007"
+  },
+  {
+    "sheet": "May2",
+    "col": "T",
+    "row": 25,
+    "formula": "=IF(C25=0,\"\",M25)",
+    "cached_value": 220.50000000000006,
+    "pattern_id": "pf_0007"
+  },
+  {
+    "sheet": "May2",
+    "col": "T",
+    "row": 26,
+    "formula": "=IF(C26=0,\"\",M26)",
+    "cached_value": 220.50000000000006,
+    "pattern_id": "pf_0007"
+  },
+  {
+    "sheet": "May2",
+    "col": "T",
+    "row": 27,
+    "formula": "=IF(C27=0,\"\",M27)",
+    "cached_value": 220.50000000000006,
+    "pattern_id": "pf_0007"
+  },
+  {
+    "sheet": "May2",
+    "col": "T",
+    "row": 28,
+    "formula": "=IF(C28=0,\"\",M28)",
+    "cached_value": 220.50000000000006,
+    "pattern_id": "pf_0007"
+  },
+  {
+    "sheet": "May2",
+    "col": "T",
+    "row": 29,
+    "formula": "=IF(C29=0,\"\",M29)",
+    "cached_value": 148.80000000000007,
+    "pattern_id": "pf_0007"
+  },
+  {
+    "sheet": "May2",
+    "col": "T",
+    "row": 30,
+    "formula": "=IF(C30=0,\"\",M30)",
+    "cached_value": 576.4000000000001,
+    "pattern_id": "pf_0007"
+  }
+]

FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-00851/layers.json

@@ -0,0 +1,218 @@
+{
+  "dag_id": "dag_22c78efc0468",
+  "file_id": "craig_dean__4381__MDEA P&L Report",
+  "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_00029"
+          ],
+          "sheet": "May2",
+          "col": "T",
+          "rows": [
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+            23,
+            24,
+            25,
+            26,
+            27,
+            28,
+            29,
+            30
+          ],
+          "row_ranges": "7-30",
+          "row_count": 24,
+          "pattern_id": "pf_0007",
+          "normalized_pattern": "=IF([C-17,R]=0,\"\",[C-7,R])",
+          "sample_formula": "=IF(C7=0,\"\",M7)"
+        }
+      ],
+      "new_eval_cells": 24,
+      "total_masked_cells": 24
+    },
+    {
+      "layer_index": 2,
+      "new_pattern_groups": [
+        {
+          "region_ids": [
+            "rg_00009"
+          ],
+          "sheet": "May2",
+          "col": "M",
+          "rows": [
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+            22,
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+            25,
+            26,
+            27,
+            28,
+            29,
+            30
+          ],
+          "row_ranges": "7-30",
+          "row_count": 24,
+          "pattern_id": "pf_0002",
+          "normalized_pattern": "=IF([C-10,R]=0,\"\",[C-10,R]*[C-2,R])",
+          "sample_formula": "=IF(C7=0,\"\",C7*K7)"
+        }
+      ],
+      "new_eval_cells": 24,
+      "total_masked_cells": 48
+    },
+    {
+      "layer_index": 3,
+      "new_pattern_groups": [
+        {
+          "region_ids": [
+            "rg_00037"
+          ],
+          "sheet": "May2",
+          "col": "K",
+          "rows": [
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+            14,
+            15,
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+            20,
+            21,
+            22,
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+            24,
+            25,
+            26,
+            27,
+            28
+          ],
+          "row_ranges": "13-28",
+          "row_count": 16,
+          "pattern_id": "pf_0009",
+          "normalized_pattern": "=IF([$C,R]=0,\"\",[$H,R]*0.6)",
+          "sample_formula": "=IF($C13=0,\"\",$H13*0.6)"
+        },
+        {
+          "region_ids": [
+            "rg_00066",
+            "rg_00067"
+          ],
+          "sheet": "May2",
+          "col": "K",
+          "rows": [
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+            9,
+            10,
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+            12,
+            29,
+            30
+          ],
+          "row_ranges": "7-12,29-30",
+          "row_count": 8,
+          "pattern_id": "pf_0017",
+          "normalized_pattern": "=IF([C-8,R]=0,\"\",[C-4,R]-([C-7,R]+1))",
+          "sample_formula": "=IF(C7=0,\"\",G7-(D7+1))"
+        }
+      ],
+      "new_eval_cells": 24,
+      "total_masked_cells": 72
+    },
+    {
+      "layer_index": 4,
+      "new_pattern_groups": [
+        {
+          "region_ids": [
+            "rg_00001"
+          ],
+          "sheet": "May2",
+          "col": "H",
+          "rows": [
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+            22,
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+            24,
+            25,
+            26,
+            27,
+            28,
+            29,
+            30
+          ],
+          "row_ranges": "7-30",
+          "row_count": 24,
+          "pattern_id": "pf_0000",
+          "normalized_pattern": "=IF([C-5,R]>0,[C-1,R]-[C-4,R],\"\")",
+          "sample_formula": "=IF(C7>0,G7-D7,\"\")"
+        }
+      ],
+      "new_eval_cells": 24,
+      "total_masked_cells": 96
+    }
+  ],
+  "sink": {
+    "region_id": "rg_00029",
+    "sheet": "May2",
+    "col": "T",
+    "pattern_id": "pf_0007",
+    "row_count": 24,
+    "family_size": 24
+  }
+}

FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-00851/nl_task.json

@@ -0,0 +1,26 @@
+{
+  "task_id": "single_sheet__dag_22c78efc0468",
+  "prompt_en": "The May2 sheet is a Profit Sharing Summary for an Operation Day, with sections such as Gen Cost Reference, Gross Savings, Net Share of Savings (Per Agreement), Day-Ahead, and Day-Ahead Transactions. Please complete the blank entries in the “(Savings)” column for the hourly transaction rows, specifically T7:T30. Some of the nearby blank transaction fields are part of the same report structure, so those supporting entries need to be in place before the savings column is fully meaningful. When you’re done, please save the completed workbook as an .xlsx file.",
+  "prompt_cn": "May2 工作表是一份 Operation Day 的 Profit Sharing Summary，里面包含 Gen Cost Reference、Gross Savings、Net Share of Savings (Per Agreement)、Day-Ahead 和 Day-Ahead Transactions 等部分。请补全小时交易行中 “(Savings)” 列的空白内容，具体位置是 T7:T30。附近有些空白的交易字段也属于同一份报表结构，因此这些相关内容需要先补齐，Savings 列才会完整有意义。完成后，请将补全后的工作簿保存为 .xlsx 文件。",
+  "quality_notes": "The prompt is minimal and business-context focused, names the visible sheet and headers, identifies the target column and range, and avoids formulas, numeric answers, and operation hints.",
+  "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": 26.8,
+  "attempt": 1
+}

FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-00851/release_qc.json

@@ -0,0 +1,58 @@
+{
+  "binary": true,
+  "binary_reason": "Well-designed chain-masked task: mask is clean, formulas are valid, and the dependency chain is reconstructible from visible structure and adjacent evidence.",
+  "D1": {
+    "score": 5,
+    "reason": "All 96 contract cells are real cells within the May2 sheet range, and the diff summary shows exactly 96 truly masked cells with no extra masking and no unmasked contract cells. Formula-cache loss is only the expected openpyxl artifact. There is no trivial same-column copy leakage for the masked columns; visible adjacent formulas provide structural clues but still require dependency reasoning."
+  },
+  "D2": {
+    "score": 5,
+    "reason": "The ground-truth formulas are consistent with the source workbook and cached values. T7:T30 use deterministic formulas of the form IF(Crow=0,\"\",Mrow), and the cached results align with the underlying M-column computations. No ambiguity or volatile/non-deterministic behavior is evident."
+  },
+  "D3": {
+    "score": 4,
+    "reason": "The prompt clearly identifies the final target range T7:T30 and the relevant '(Savings)' column. It also hints that nearby blank transaction fields are supporting entries. However, it does not explicitly name the prerequisite columns H, K, or M, so the solver must infer those from the sheet structure."
+  },
+  "D4": {
+    "score": 4,
+    "reason": "Using only mask_last.xlsx and the NL prompt, the task is solvable with effort. The visible headers identify the roles of H, K, M, and T; visible inputs C/D/G and visible I values support reconstructing gross savings; visible J, L, O, S formulas/values provide strong clues for the peak/off-peak share logic and row boundaries. M can be inferred as Qty times K, and T as the MDEA savings summary tied to M. The main gap is that K itself has no direct visible formula exemplar, so the solver must infer its rule from adjacent share/cost columns, but the evidence is present.",
+    "d4_type": "ok"
+  },
+  "D5": {
+    "score": 5,
+    "reason": "The source spreadsheet appears internally consistent: headers are meaningful, formulas are coherent across the hourly rows, cached values match the formulas, and there is no evidence of corruption, circular references, broken formulas, or phantom ranges."
+  },
+  "D6": {
+    "score": 5,
+    "reason": "The NL request sounds like a realistic workplace spreadsheet-completion instruction. It avoids benchmark jargon, names the business context, specifies the target range, and naturally mentions supporting blank transaction fields."
+  },
+  "total": 28,
+  "verdict": "RELEASE",
+  "verdict_reason": "High-quality benchmark item. The task is hard due to a four-layer masked chain and multiple formula patterns, but it has clean masking, correct ground truth, and sufficient visible evidence for reconstruction.",
+  "frontier_hardness": {
+    "score": 3,
+    "reason": "A frontier model may need substantial reasoning to reconstruct the H→K→M→T chain and the peak/off-peak boundary behavior, but the necessary evidence is visible in headers, adjacent formulas, and row values. It is challenging but not likely to defeat a very strong model consistently.",
+    "fail_reason": "deep_chain",
+    "is_valid_hardness": true
+  },
+  "_prompt_chars": 67656,
+  "_timing_load_workbooks": 0.66,
+  "_timing_context": 0.02,
+  "_timing_api": 27.68,
+  "local_difficulty": {
+    "difficulty_score": 70.1,
+    "difficulty": "hard",
+    "depth": 4,
+    "total_masked": 96,
+    "is_cross_sheet": false,
+    "unique_patterns": 5,
+    "avg_complexity": 8,
+    "cross_refs": 0,
+    "visible_exemplar_ratio": 0.111
+  },
+  "task_id": "single_sheet__dag_22c78efc0468",
+  "elapsed": 28.4,
+  "publish_decision": "YES",
+  "release_tier": "GOLD",
+  "hard_block_reasons": []
+}

FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-00851/target_contract.json

@@ -0,0 +1,179 @@
+{
+  "task_id": "single_sheet__dag_22c78efc0468",
+  "category": "single_sheet",
+  "depth": 4,
+  "final_target": {
+    "regions": [
+      {
+        "sheet": "May2",
+        "column": "T",
+        "column_header": "(Savings)",
+        "cell_range": "T7:T30",
+        "cell_count": 24,
+        "rows": [
+          7,
+          8,
+          9,
+          10,
+          11,
+          12,
+          13,
+          14,
+          15,
+          16,
+          17,
+          18,
+          19,
+          20,
+          21,
+          22,
+          23,
+          24,
+          25,
+          26,
+          27,
+          28,
+          29,
+          30
+        ],
+        "first_row_label": "",
+        "last_row_label": ""
+      }
+    ],
+    "cell_count": 24,
+    "formula_families": [
+      "conditional"
+    ]
+  },
+  "prerequisite_steps": [
+    {
+      "layer": 4,
+      "regions": [
+        {
+          "sheet": "May2",
+          "column": "H",
+          "column_header": "[Person_1] vs. [Person_2] (per Mwh)",
+          "cell_range": "H7:H30",
+          "cell_count": 24,
+          "rows": [
+            7,
+            8,
+            9,
+            10,
+            11,
+            12,
+            13,
+            14,
+            15,
+            16,
+            17,
+            18,
+            19,
+            20,
+            21,
+            22,
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+            24,
+            25,
+            26,
+            27,
+            28,
+            29,
+            30
+          ],
+          "first_row_label": "",
+          "last_row_label": ""
+        }
+      ],
+      "cell_count": 24
+    },
+    {
+      "layer": 3,
+      "regions": [
+        {
+          "sheet": "May2",
+          "column": "K",
+          "column_header": "Per Mwh",
+          "cell_range": "K7:K30",
+          "cell_count": 24,
+          "rows": [
+            7,
+            8,
+            9,
+            10,
+            11,
+            12,
+            13,
+            14,
+            15,
+            16,
+            17,
+            18,
+            19,
+            20,
+            21,
+            22,
+            23,
+            24,
+            25,
+            26,
+            27,
+            28,
+            29,
+            30
+          ],
+          "first_row_label": "",
+          "last_row_label": ""
+        }
+      ],
+      "cell_count": 24
+    },
+    {
+      "layer": 2,
+      "regions": [
+        {
+          "sheet": "May2",
+          "column": "M",
+          "column_header": "Per Mwh Savings * Mwhs",
+          "cell_range": "M7:M30",
+          "cell_count": 24,
+          "rows": [
+            7,
+            8,
+            9,
+            10,
+            11,
+            12,
+            13,
+            14,
+            15,
+            16,
+            17,
+            18,
+            19,
+            20,
+            21,
+            22,
+            23,
+            24,
+            25,
+            26,
+            27,
+            28,
+            29,
+            30
+          ],
+          "first_row_label": "",
+          "last_row_label": ""
+        }
+      ],
+      "cell_count": 24
+    }
+  ],
+  "total_prerequisite_cells": 72,
+  "total_masked_cells": 96,
+  "ratio_total_vs_final": 4.0,
+  "sheets_involved": [
+    "May2"
+  ]
+}

FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-00851/task_meta.json

@@ -0,0 +1,100 @@
+{
+  "fcb_id": "FCB-00851",
+  "task_id": "single_sheet__dag_22c78efc0468",
+  "tier": "T2_HARD",
+  "category": "single_sheet",
+  "depth": 4,
+  "total_masked": 96,
+  "is_cross_sheet": false,
+  "prompt_en": "The May2 sheet is a Profit Sharing Summary for an Operation Day, with sections such as Gen Cost Reference, Gross Savings, Net Share of Savings (Per Agreement), Day-Ahead, and Day-Ahead Transactions. Please complete the blank entries in the “(Savings)” column for the hourly transaction rows, specifically T7:T30. Some of the nearby blank transaction fields are part of the same report structure, so those supporting entries need to be in place before the savings column is fully meaningful. When you’re done, please save the completed workbook as an .xlsx file.",
+  "prompt_cn": "May2 工作表是一份 Operation Day 的 Profit Sharing Summary，里面包含 Gen Cost Reference、Gross Savings、Net Share of Savings (Per Agreement)、Day-Ahead 和 Day-Ahead Transactions 等部分。请补全小时交易行中 “(Savings)” 列的空白内容，具体位置是 T7:T30。附近有些空白的交易字段也属于同一份报表结构，因此这些相关内容需要先补齐，Savings 列才会完整有意义。完成后，请将补全后的工作簿保存为 .xlsx 文件。",
+  "qc": {
+    "total": 28,
+    "verdict": "RELEASE",
+    "D1": 5,
+    "D2": 5,
+    "D3": 4,
+    "D4": 4,
+    "D5": 5,
+    "D6": 5,
+    "frontier_hardness": 3,
+    "local_difficulty": 70.1
+  },
+  "source_file_id": "craig_dean__4381__MDEA P&L Report",
+  "inferred_domain": "data_analysis",
+  "domain_confidence": 0.5,
+  "sheet_profiles": [
+    {
+      "name": "May1",
+      "used_range": "A1:V34",
+      "row_count": 34,
+      "col_count": 22,
+      "has_header": false,
+      "title_hint": "May1",
+      "header_info": null
+    },
+    {
+      "name": "May2",
+      "used_range": "A1:V34",
+      "row_count": 34,
+      "col_count": 22,
+      "has_header": false,
+      "title_hint": "May2",
+      "header_info": null
+    },
+    {
+      "name": "May8",
+      "used_range": "A1:V68",
+      "row_count": 68,
+      "col_count": 22,
+      "has_header": false,
+      "title_hint": "May8",
+      "header_info": null
+    },
+    {
+      "name": "May10",
+      "used_range": "A1:V68",
+      "row_count": 68,
+      "col_count": 22,
+      "has_header": false,
+      "title_hint": "May10",
+      "header_info": null
+    },
+    {
+      "name": "May11",
+      "used_range": "A1:V68",
+      "row_count": 68,
+      "col_count": 22,
+      "has_header": false,
+      "title_hint": "May11",
+      "header_info": null
+    },
+    {
+      "name": "May12",
+      "used_range": "A1:V68",
+      "row_count": 68,
+      "col_count": 22,
+      "has_header": false,
+      "title_hint": "May12",
+      "header_info": null
+    },
+    {
+      "name": "May13",
+      "used_range": "A1:V68",
+      "row_count": 68,
+      "col_count": 22,
+      "has_header": false,
+      "title_hint": "May13",
+      "header_info": null
+    },
+    {
+      "name": "May14",
+      "used_range": "A1:V68",
+      "row_count": 68,
+      "col_count": 22,
+      "has_header": false,
+      "title_hint": "May14",
+      "header_info": null
+    }
+  ]
+}

FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-01078/audit.json

@@ -0,0 +1,591 @@
+{
+  "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 25 cells"
+        },
+        {
+          "check": "header_grounding",
+          "pass": true,
+          "severity": "pass",
+          "detail": "1/1 final regions have column_header"
+        },
+        {
+          "check": "mask_consistency",
+          "pass": true,
+          "detail": "mask_last=47030B, src=77695B"
+        },
+        {
+          "check": "dirty_family",
+          "pass": true,
+          "detail": "0 dirty cells"
+        },
+        {
+          "check": "ratio_gate",
+          "pass": true,
+          "detail": "ratio=3.0 (total=76, final=25)"
+        },
+        {
+          "check": "dedup_gate",
+          "pass": true,
+          "detail": "0 duplicate cells across layers"
+        },
+        {
+          "check": "gt_uniqueness",
+          "pass": true,
+          "detail": "44 unique values across 76 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: Jean Pierre Soullière!G→Test!G(25/25), Jean Pierre Soullière!H→Test!H(25/25)"
+        },
+        {
+          "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=3, prompt=1, missing=1",
+          "missing_ranges": [
+            "AL3:AL28"
+          ],
+          "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=2, no explicit steps found (v5 natural format)",
+          "severity": "OK"
+        },
+        {
+          "check": "sheet_name_match",
+          "pass": false,
+          "detail": "contract=['Player DATA', 'Test'], missing=['Player DATA']",
+          "severity": "INFO"
+        },
+        {
+          "check": "no_formula_leak",
+          "pass": true,
+          "detail": "0 formula leaks",
+          "severity": "OK"
+        },
+        {
+          "check": "no_value_leak",
+          "pass": true,
+          "detail": "0 value leaks out of 25 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 [Player DATA]",
+          "severity": "SOFT_WARN"
+        },
+        {
+          "check": "exemplar_consistency",
+          "pass": true,
+          "severity": "OK",
+          "detail": "checked 3 col groups"
+        },
+        {
+          "check": "nl_gt_operation_consistency",
+          "pass": true,
+          "detail": "GT funcs: ['RANK', '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 76 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": 76,
+      "total_non_none": 76,
+      "block_reasons": [],
+      "warnings": [
+        "rank_ties:25"
+      ],
+      "checks": {
+        "rank_tie_risk": {
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+          "tie_issues": 25,
+          "details": [
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+              "cell": "Test!G5",
+              "tied_values": {
+                "200": 2,
+                "0": 3
+              }
+            },
+            {
+              "cell": "Test!G6",
+              "tied_values": {
+                "200": 2,
+                "0": 3
+              }
+            },
+            {
+              "cell": "Test!G7",
+              "tied_values": {
+                "200": 2,
+                "0": 3
+              }
+            },
+            {
+              "cell": "Test!G8",
+              "tied_values": {
+                "200": 2,
+                "0": 3
+              }
+            },
+            {
+              "cell": "Test!G9",
+              "tied_values": {
+                "200": 2,
+                "0": 3
+              }
+            },
+            {
+              "cell": "Test!G10",
+              "tied_values": {
+                "200": 2,
+                "0": 3
+              }
+            },
+            {
+              "cell": "Test!G11",
+              "tied_values": {
+                "200": 2,
+                "0": 3
+              }
+            },
+            {
+              "cell": "Test!G12",
+              "tied_values": {
+                "200": 2,
+                "0": 3
+              }
+            },
+            {
+              "cell": "Test!G13",
+              "tied_values": {
+                "200": 2,
+                "0": 3
+              }
+            },
+            {
+              "cell": "Test!G14",
+              "tied_values": {
+                "200": 2,
+                "0": 3
+              }
+            }
+          ]
+        },
+        "trivial_gt": {
+          "issues": []
+        },
+        "gt_type_consistency": {
+          "types": {
+            "int": 76
+          },
+          "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": 76
+      }
+    },
+    "solver_visibility": {
+      "contract_cells": 76,
+      "total_masked": 76,
+      "total_visible": 827,
+      "depth": 3,
+      "block_reasons": [
+        "broken_chains:26/76=34.2%"
+      ],
+      "warnings": [],
+      "checks": {
+        "broken_chains": {
+          "count": 26,
+          "checked": 76,
+          "details": [
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+              "cell": "Player DATA!AL3",
+              "missing_dep": "Player DATA!Y3",
+              "formula": "=SUM(V3:AK3)"
+            },
+            {
+              "cell": "Player DATA!AL9",
+              "missing_dep": "Player DATA!Y9",
+              "formula": "=SUM(V9:AK9)"
+            },
+            {
+              "cell": "Player DATA!AL6",
+              "missing_dep": "Player DATA!Y6",
+              "formula": "=SUM(V6:AK6)"
+            },
+            {
+              "cell": "Player DATA!AL12",
+              "missing_dep": "Player DATA!AD12",
+              "formula": "=SUM(V12:AK12)"
+            },
+            {
+              "cell": "Player DATA!AL15",
+              "missing_dep": "Player DATA!AD15",
+              "formula": "=SUM(V15:AK15)"
+            },
+            {
+              "cell": "Player DATA!AL18",
+              "missing_dep": "Player DATA!V18",
+              "formula": "=SUM(V18:AK18)"
+            },
+            {
+              "cell": "Player DATA!AL21",
+              "missing_dep": "Player DATA!W21",
+              "formula": "=SUM(V21:AK21)"
+            },
+            {
+              "cell": "Player DATA!AL24",
+              "missing_dep": "Player DATA!AD24",
+              "formula": "=SUM(V24:AK24)"
+            },
+            {
+              "cell": "Player DATA!AL27",
+              "missing_dep": "Player DATA!V27",
+              "formula": "=SUM(V27:AK27)"
+            },
+            {
+              "cell": "Player DATA!AL5",
+              "missing_dep": "Player DATA!AD5",
+              "formula": "=SUM(V5:AK5)"
+            },
+            {
+              "cell": "Player DATA!AL11",
+              "missing_dep": "Player DATA!AD11",
+              "formula": "=SUM(V11:AK11)"
+            },
+            {
+              "cell": "Player DATA!AL8",
+              "missing_dep": "Player DATA!X8",
+              "formula": "=SUM(V8:AK8)"
+            },
+            {
+              "cell": "Player DATA!AL14",
+              "missing_dep": "Player DATA!AD14",
+              "formula": "=SUM(V14:AK14)"
+            },
+            {
+              "cell": "Player DATA!AL17",
+              "missing_dep": "Player DATA!Y17",
+              "formula": "=SUM(V17:AK17)"
+            },
+            {
+              "cell": "Player DATA!AL23",
+              "missing_dep": "Player DATA!AD23",
+              "formula": "=SUM(V23:AK23)"
+            },
+            {
+              "cell": "Player DATA!AL20",
+              "missing_dep": "Player DATA!V20",
+              "formula": "=SUM(V20:AK20)"
+            },
+            {
+              "cell": "Player DATA!AL26",
+              "missing_dep": "Player DATA!V26",
+              "formula": "=SUM(V26:AK26)"
+            },
+            {
+              "cell": "Player DATA!AL4",
+              "missing_dep": "Player DATA!AD4",
+              "formula": "=SUM(V4:AK4)"
+            },
+            {
+              "cell": "Player DATA!AL7",
+              "missing_dep": "Player DATA!V7",
+              "formula": "=SUM(V7:AK7)"
+            },
+            {
+              "cell": "Player DATA!AL10",
+              "missing_dep": "Player DATA!AD10",
+              "formula": "=SUM(V10:AK10)"
+            }
+          ]
+        },
+        "orphan_masks": {
+          "count": 0,
+          "details": []
+        },
+        "self_contained": {
+          "missing_sheets": []
+        }
+      }
+    },
+    "exemplar": {
+      "soft_block": false,
+      "block_reasons": [],
+      "checks": {
+        "pattern_coverage": {
+          "pass": true,
+          "total_gt_patterns": 3,
+          "total_src_patterns": 9,
+          "zero_exemplar_count": 0,
+          "low_exemplar_count": 0
+        },
+        "zero_exemplar_patterns": {
+          "pass": true,
+          "patterns": []
+        },
+        "low_exemplar_patterns": {
+          "pass": true,
+          "patterns": []
+        },
+        "func_coverage": {
+          "SUM": {
+            "total_masked": 26,
+            "visible_exemplars": 159
+          },
+          "RANK": {
+            "total_masked": 25,
+            "visible_exemplars": 150
+          },
+          "reference": {
+            "total_masked": 25,
+            "visible_exemplars": 2186
+          }
+        }
+      }
+    },
+    "shortcut": {
+      "shortcut_risk": 0.0,
+      "flags": []
+    },
+    "release_audit": {
+      "surface_single_sheet": false,
+      "surface_sheets": [
+        "Player DATA",
+        "Test"
+      ],
+      "cross_sheet_actual": true,
+      "cross_sheet_ref_count": 25,
+      "referenced_sheets": [
+        "Player DATA"
+      ],
+      "target_shape": "single_column_series",
+      "layer_sizes": [
+        25,
+        25,
+        26
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+      "mask_last_total_cells": 76,
+      "layer_growth_ratios": [
+        1.0,
+        1.04
+      ],
+      "pattern_dominance_ratio": 0.3421,
+      "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": "cross_sheet__dag_707b309304d6",
+    "difficulty_score": 70.8,
+    "difficulty": "hard",
+    "depth": 3,
+    "total_masked": 76,
+    "is_cross_sheet": true,
+    "unique_patterns": 3,
+    "avg_complexity": 4.0,
+    "cross_refs": 25,
+    "visible_exemplar_ratio": 0.074,
+    "score_breakdown": {
+      "depth": 14,
+      "cross_sheet": 10,
+      "cell_count": 12.5,
+      "patterns": 9,
+      "complexity": 6.0,
+      "cross_refs": 10,
+      "vis_penalty": 9.3
+    }
+  }
+}

FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-01078/ground_truth_full.json

@@ -0,0 +1,686 @@
+[
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+    "formula": "=RANK(H5,H$5:H$29)",
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+    "pattern_id": "pf_0003",
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+    "formula": "=RANK(H12,H$5:H$29)",
+    "cached_value": 2,
+    "pattern_id": "pf_0003",
+    "layer": 1
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+  {
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+    "formula": "=RANK(H13,H$5:H$29)",
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+    "pattern_id": "pf_0003",
+    "layer": 1
+  },
+  {
+    "sheet": "Test",
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+    "formula": "=RANK(H14,H$5:H$29)",
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+    "pattern_id": "pf_0003",
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FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-01078/layers.json

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+          "row_ranges": "5-29",
+          "row_count": 25,
+          "pattern_id": "pf_0003",
+          "normalized_pattern": "=RANK([C+1,R],[C+1,$5]:[C+1,$29])",
+          "sample_formula": "=RANK(H5,H$5:H$29)"
+        }
+      ],
+      "new_eval_cells": 25,
+      "total_masked_cells": 25
+    },
+    {
+      "layer_index": 2,
+      "new_pattern_groups": [
+        {
+          "region_ids": [
+            "rg_00079"
+          ],
+          "sheet": "Test",
+          "col": "H",
+          "rows": [
+            5,
+            6,
+            7,
+            8,
+            9,
+            10,
+            11,
+            12,
+            13,
+            14,
+            15,
+            16,
+            17,
+            18,
+            19,
+            20,
+            21,
+            22,
+            23,
+            24,
+            25,
+            26,
+            27,
+            28,
+            29
+          ],
+          "row_ranges": "5-29",
+          "row_count": 25,
+          "pattern_id": "pf_0006",
+          "normalized_pattern": "='PLAYERDATA'![C+30,R-2]",
+          "sample_formula": "='Player DATA'!AL3"
+        }
+      ],
+      "new_eval_cells": 25,
+      "total_masked_cells": 50
+    },
+    {
+      "layer_index": 3,
+      "new_pattern_groups": [
+        {
+          "region_ids": [
+            "rg_00926"
+          ],
+          "sheet": "Player DATA",
+          "col": "AL",
+          "rows": [
+            3,
+            4,
+            5,
+            6,
+            7,
+            8,
+            9,
+            10,
+            11,
+            12,
+            13,
+            14,
+            15,
+            16,
+            17,
+            18,
+            19,
+            20,
+            21,
+            22,
+            23,
+            24,
+            25,
+            26,
+            27,
+            28
+          ],
+          "row_ranges": "3-28",
+          "row_count": 26,
+          "pattern_id": "pf_0038",
+          "normalized_pattern": "=SUM([C-16,R]:[C-1,R])",
+          "sample_formula": "=SUM(V3:AK3)"
+        }
+      ],
+      "new_eval_cells": 26,
+      "total_masked_cells": 76
+    }
+  ],
+  "sink": {
+    "region_id": "rg_00072",
+    "sheet": "Test",
+    "col": "G",
+    "pattern_id": "pf_0003",
+    "row_count": 25,
+    "family_size": 25
+  }
+}

FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-01078/nl_task.json

@@ -0,0 +1,26 @@
+{
+  "task_id": "cross_sheet__dag_707b309304d6",
+  "prompt_en": "The “Test” sheet is part of the Ligue de Billard De Cowansville workbook, alongside visible league labels like Joueurs, Points, Mon pointage, Pos., Résultats, and Position. In this sheet, the blank entries that need attention are in the “Après Noël” column, specifically G5:G29, for the listed players/rows. Because the workbook’s league tables are connected across sheets, the related player and results information elsewhere in the file should be in place before the “Après Noël” column is finalized. Please fill in the missing “Après Noël” values and save the completed workbook as an .xlsx file.",
+  "prompt_cn": "“Test”工作表属于 Ligue de Billard De Cowansville 这个工作簿，里面还能看到 Joueurs、Points、Mon pointage、Pos.、Résultats 和 Position 等联赛相关标签。在这个工作表中，需要补全的是“Après Noël”这一列的空白项，位置是 G5:G29，对应各个列出的球员/行。由于工作簿里的联赛表格在不同工作表之间有关联，其他位置的球员和结果信息需要先保持完整，“Après Noël”这一列才好最终填写。请补全缺失的“Après Noël”数值，并将完成后的工作簿保存为 .xlsx 文件。",
+  "quality_notes": "The prompt identifies the workbook context, sheet, target column, and exact range while avoiding formulas, operations, and answer hints. It also mentions cross-sheet dependency naturally without describing a method.",
+  "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": 21.6,
+  "attempt": 1
+}

FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-01078/release_qc.json

@@ -0,0 +1,58 @@
+{
+  "binary": true,
+  "binary_reason": "Well-designed chain-masked cross-sheet task with clean masking, correct formulas, and sufficient visible structural clues despite moderate NL vagueness about prerequisites.",
+  "D1": {
+    "score": 5,
+    "reason": "All masked cells are real in-range cells, the mask boundary is clean, and the diff summary shows exactly 76 truly masked contract cells with no extra masking. Formula-cache loss is only the known openpyxl artifact. Visible rank exemplars in nearby columns provide useful structure but do not make the full task trivially copyable because the solver must still reconstruct the H and Player DATA AL dependency chain."
+  },
+  "D2": {
+    "score": 5,
+    "reason": "The ground-truth formulas are consistent with the source workbook: Test!G5:G29 rank the corresponding H-row value over H$5:H$29, H5:H29 link to Player DATA totals, and Player DATA!AL rows compute totals from the visible dated point columns. The formulas are deterministic and the cached rank values shown are plausible and consistent with Excel RANK behavior, including ties."
+  },
+  "D3": {
+    "score": 4,
+    "reason": "The NL clearly identifies the final target column and range, Test!G5:G29 under “Après Noël.” It also hints that related cross-sheet player/results information must be in place first. However, it does not explicitly name the prerequisite ranges Player DATA!AL3:AL28 or Test!H5:H29, so the dependency chain must be inferred from the workbook structure."
+  },
+  "D4": {
+    "score": 4,
+    "reason": "Using only the masked workbook and NL, there is enough root evidence to reconstruct the chain. The visible Test sheet shows analogous position/result pairs: E ranks F and I ranks J, strongly indicating G should rank H. The B and F columns visibly map Test rows to Player DATA rows, and H is the Résultats column under Après Noël, making a Player DATA total-results link inferable. On Player DATA, AL is labeled “Total de points,” adjacent to AM “Total De jours,” whose visible COUNT(V:AK) formulas provide a structural clue that AL should aggregate the same dated range by SUM. The main gap is that the NL does not explicitly state these prerequisite ranges, but the workbook evidence is sufficient with reasoning.",
+    "d4_type": "ok"
+  },
+  "D5": {
+    "score": 5,
+    "reason": "The source workbook appears internally coherent: headers are meaningful, formulas follow consistent row-wise patterns, cross-sheet references align with player rows, and there are no reported chain errors, broken references, circular references, or corrupted values in the provided audit signals."
+  },
+  "D6": {
+    "score": 5,
+    "reason": "The NL sounds like a realistic workbook-maintenance request. It avoids benchmark jargon, references the visible league context naturally, and asks the user to complete the missing Après Noël entries and save the workbook."
+  },
+  "total": 28,
+  "verdict": "RELEASE",
+  "verdict_reason": "High-quality task: clean mask, correct deterministic ground truth, meaningful cross-sheet dependency chain, and enough visible evidence for reconstruction. Minor NL underspecification of prerequisite ranges is acceptable for this chain-masking design.",
+  "frontier_hardness": {
+    "score": 3,
+    "reason": "Moderate difficulty for a frontier model: the final formula is strongly suggested by visible rank exemplars, but solving the whole task requires reconstructing a three-layer chain across Test and Player DATA, inferring H links and AL totals from headers and adjacent formulas. A strong model might succeed, but the multi-hop reconstruction is nontrivial.",
+    "fail_reason": "cross_sheet_multi_hop",
+    "is_valid_hardness": true
+  },
+  "_prompt_chars": 38706,
+  "_timing_load_workbooks": 0.51,
+  "_timing_context": 0.01,
+  "_timing_api": 57.54,
+  "local_difficulty": {
+    "difficulty_score": 70.8,
+    "difficulty": "hard",
+    "depth": 3,
+    "total_masked": 76,
+    "is_cross_sheet": true,
+    "unique_patterns": 3,
+    "avg_complexity": 4,
+    "cross_refs": 25,
+    "visible_exemplar_ratio": 0.074
+  },
+  "task_id": "cross_sheet__dag_707b309304d6",
+  "elapsed": 58.1,
+  "publish_decision": "YES",
+  "release_tier": "GOLD",
+  "hard_block_reasons": []
+}

FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-01078/target_contract.json

@@ -0,0 +1,143 @@
+{
+  "task_id": "cross_sheet__dag_707b309304d6",
+  "category": "cross_sheet",
+  "depth": 3,
+  "final_target": {
+    "regions": [
+      {
+        "sheet": "Test",
+        "column": "G",
+        "column_header": "Après Noël",
+        "cell_range": "G5:G29",
+        "cell_count": 25,
+        "rows": [
+          5,
+          6,
+          7,
+          8,
+          9,
+          10,
+          11,
+          12,
+          13,
+          14,
+          15,
+          16,
+          17,
+          18,
+          19,
+          20,
+          21,
+          22,
+          23,
+          24,
+          25,
+          26,
+          27,
+          28,
+          29
+        ],
+        "first_row_label": "Alain Piette",
+        "last_row_label": "Spare"
+      }
+    ],
+    "cell_count": 25,
+    "formula_families": [
+      "ranking"
+    ]
+  },
+  "prerequisite_steps": [
+    {
+      "layer": 3,
+      "regions": [
+        {
+          "sheet": "Player DATA",
+          "column": "AL",
+          "column_header": "Total de points",
+          "cell_range": "AL3:AL28",
+          "cell_count": 26,
+          "rows": [
+            3,
+            4,
+            5,
+            6,
+            7,
+            8,
+            9,
+            10,
+            11,
+            12,
+            13,
+            14,
+            15,
+            16,
+            17,
+            18,
+            19,
+            20,
+            21,
+            22,
+            23,
+            24,
+            25,
+            26,
+            27,
+            28
+          ],
+          "first_row_label": "Alain Piette",
+          "last_row_label": "Total Possible"
+        }
+      ],
+      "cell_count": 26
+    },
+    {
+      "layer": 2,
+      "regions": [
+        {
+          "sheet": "Test",
+          "column": "H",
+          "column_header": "Résultats",
+          "cell_range": "H5:H29",
+          "cell_count": 25,
+          "rows": [
+            5,
+            6,
+            7,
+            8,
+            9,
+            10,
+            11,
+            12,
+            13,
+            14,
+            15,
+            16,
+            17,
+            18,
+            19,
+            20,
+            21,
+            22,
+            23,
+            24,
+            25,
+            26,
+            27,
+            28,
+            29
+          ],
+          "first_row_label": "Alain Piette",
+          "last_row_label": "Spare"
+        }
+      ],
+      "cell_count": 25
+    }
+  ],
+  "total_prerequisite_cells": 51,
+  "total_masked_cells": 76,
+  "ratio_total_vs_final": 3.0,
+  "sheets_involved": [
+    "Player DATA",
+    "Test"
+  ]
+}

FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-01078/task_meta.json

@@ -0,0 +1,91 @@
+{
+  "fcb_id": "FCB-01078",
+  "task_id": "cross_sheet__dag_707b309304d6",
+  "tier": "T2_HARD",
+  "category": "cross_sheet",
+  "depth": 3,
+  "total_masked": 76,
+  "is_cross_sheet": true,
+  "prompt_en": "The “Test” sheet is part of the Ligue de Billard De Cowansville workbook, alongside visible league labels like Joueurs, Points, Mon pointage, Pos., Résultats, and Position. In this sheet, the blank entries that need attention are in the “Après Noël” column, specifically G5:G29, for the listed players/rows. Because the workbook’s league tables are connected across sheets, the related player and results information elsewhere in the file should be in place before the “Après Noël” column is finalized. Please fill in the missing “Après Noël” values and save the completed workbook as an .xlsx file.",
+  "prompt_cn": "“Test”工作表属于 Ligue de Billard De Cowansville 这个工作簿，里面还能看到 Joueurs、Points、Mon pointage、Pos.、Résultats 和 Position 等联赛相关标签。在这个工作表中，需要补全的是“Après Noël”这一列的空白项，位置是 G5:G29，对应各个列出的球员/行。由于工作簿里的联赛表格在不同工作表之间有关联，其他位置的球员和结果信息需要先保持完整，“Après Noël”这一列才好最终填写。请补全缺失的“Après Noël”数值，并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": 3,
+    "local_difficulty": 70.8
+  },
+  "source_file_id": "67085d1267713025-adding-data-over-existing-chart-720326",
+  "inferred_domain": "general",
+  "domain_confidence": 0.0,
+  "sheet_profiles": [
+    {
+      "name": "Jean Pierre Soullière",
+      "used_range": "A1:M30",
+      "row_count": 30,
+      "col_count": 13,
+      "has_header": false,
+      "title_hint": "Jean Pierre Soullière",
+      "header_info": null
+    },
+    {
+      "name": "Player DATA",
+      "used_range": "A1:AM29",
+      "row_count": 29,
+      "col_count": 39,
+      "has_header": false,
+      "title_hint": "Player DATA",
+      "header_info": null
+    },
+    {
+      "name": "Marie-Ève",
+      "used_range": "A1:D31",
+      "row_count": 31,
+      "col_count": 4,
+      "has_header": false,
+      "title_hint": "Marie Ève",
+      "header_info": null
+    },
+    {
+      "name": "Fax",
+      "used_range": "A1:C30",
+      "row_count": 30,
+      "col_count": 3,
+      "has_header": false,
+      "title_hint": "Fax",
+      "header_info": null
+    },
+    {
+      "name": "Calculations",
+      "used_range": "B1:CQ30",
+      "row_count": 30,
+      "col_count": 94,
+      "has_header": false,
+      "title_hint": "Calculations",
+      "header_info": null
+    },
+    {
+      "name": "Graph Data",
+      "used_range": "A1:AL33",
+      "row_count": 33,
+      "col_count": 38,
+      "has_header": false,
+      "title_hint": "Graph Data",
+      "header_info": null
+    },
+    {
+      "name": "Test",
+      "used_range": "A1:P30",
+      "row_count": 30,
+      "col_count": 16,
+      "has_header": false,
+      "title_hint": "Test",
+      "header_info": null
+    }
+  ]
+}

FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-01088/audit.json

@@ -0,0 +1,529 @@
+{
+  "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 20 cells"
+        },
+        {
+          "check": "header_grounding",
+          "pass": true,
+          "severity": "pass",
+          "detail": "1/1 final regions have column_header"
+        },
+        {
+          "check": "mask_consistency",
+          "pass": true,
+          "detail": "mask_last=33667B, src=42953B"
+        },
+        {
+          "check": "dirty_family",
+          "pass": true,
+          "detail": "0 dirty cells"
+        },
+        {
+          "check": "ratio_gate",
+          "pass": true,
+          "detail": "ratio=3.0 (total=60, final=20)"
+        },
+        {
+          "check": "dedup_gate",
+          "pass": true,
+          "detail": "0 duplicate cells across layers"
+        },
+        {
+          "check": "gt_uniqueness",
+          "pass": true,
+          "detail": "9 unique values across 60 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=3, prompt=2, missing=1",
+          "missing_ranges": [
+            "K6:K25"
+          ],
+          "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=2, no explicit steps found (v5 natural format)",
+          "severity": "OK"
+        },
+        {
+          "check": "sheet_name_match",
+          "pass": true,
+          "detail": "contract=['YTD', 'Year'], 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 20 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": "referenced=1 mentioned=1 missing=0",
+          "severity": "OK"
+        },
+        {
+          "check": "exemplar_consistency",
+          "pass": true,
+          "severity": "OK",
+          "detail": "checked 3 col groups"
+        },
+        {
+          "check": "nl_gt_operation_consistency",
+          "pass": true,
+          "detail": "GT funcs: ['SUM', 'SUMPRODUCT']",
+          "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 60 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": 60,
+      "total_non_none": 60,
+      "block_reasons": [],
+      "warnings": [
+        "mixed_gt_types:{'float': 18, 'int': 42}"
+      ],
+      "checks": {
+        "rank_tie_risk": {
+          "rank_cells": 0,
+          "tie_issues": 0,
+          "details": []
+        },
+        "trivial_gt": {
+          "issues": []
+        },
+        "gt_type_consistency": {
+          "types": {
+            "float": 18,
+            "int": 42
+          },
+          "mixed": true
+        },
+        "empty_gt": {
+          "count": 0,
+          "details": []
+        }
+      }
+    },
+    "src_chain": {
+      "hard_block": false,
+      "block_reasons": [],
+      "checks": {
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+}

FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-01088/ground_truth_full.json

@@ -0,0 +1,542 @@
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+]

FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-01088/ground_truth_target.json

@@ -0,0 +1,162 @@
+[
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+]

FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-01088/layers.json

@@ -0,0 +1,412 @@
+{
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+  "file_id": "159986d1338919439-attendance-tracking-according-to-hire-date-attendance-2011-2012-test-5qq",
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+  "surface_category": "cross_sheet",
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+  "quality": {
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+          "sample_formula": "=SUM(Year!D6)"
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+          "sample_formula": "=SUMPRODUCT(($F8:$MD8=\"P\")+(F8:MD8=\"P1\")/2)"
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+  "sink": {
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+    "col": "L",
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+}

FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-01088/nl_task.json

@@ -0,0 +1,26 @@
+{
+  "task_id": "cross_sheet__dag_a4bc40e1dcbe",
+  "prompt_en": "The YTD sheet is an HR Year-to-Date Summary for 2011-2012, with employee name fields and day categories such as Vacation, Personal, Illness, PD, P1, and V1. Please complete the blank entries in the Personal Days Remaining column on the YTD sheet, specifically column L rows 6 through 25. The workbook also includes person-level information such as Person_1 and related day-use fields, so make sure those related blanks are in place where needed before the YTD remaining-day entries are finalized. When done, save the completed file as an .xlsx workbook.",
+  "prompt_cn": "YTD 工作表是一份 2011-2012 年的人力资源年度累计汇总，里面包含员工姓名字段，以及 Vacation、Personal、Illness、PD、P1、V1 等请假类别。请补全 YTD 工作表中 Personal Days Remaining 这一列的空白项，位置是 L 列第 6 行到第 25 行。工作簿中还包含 Person_1 等个人层面的信息和相关的请假使用字段，因此在最终填写 YTD 的剩余天数字段前，请确保相关空白内容也已按需要补齐。完成后，请将文件保存为 .xlsx 工作簿。",
+  "quality_notes": "The prompt is minimal, references only visible workbook labels and the specified target range, avoids formulas and operation hints, and naturally notes the presence of related prerequisite blanks without detailing a dependency chain.",
+  "post_check_issues": [],
+  "prompt_mode": "minimal",
+  "hint_leakage": {
+    "score": 1,
+    "level": "low",
+    "max_possible": 100,
+    "dimensions": {
+      "operation_words": 0,
+      "cell_range_density": 1,
+      "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": 21.5,
+  "attempt": 1
+}

FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-01088/release_qc.json

@@ -0,0 +1,58 @@
+{
+  "binary": true,
+  "binary_reason": "CORRECT: clean 3-layer cross-sheet mask with real cells, consistent GT, and enough visible structural evidence to reconstruct the chain.",
+  "D1": {
+    "score": 5,
+    "reason": "All 60 contract cells are truly masked, with no contract misses and no extra masking outside the contract. The referenced ranges are within the actual sheet dimensions, so there are no phantom cells. Visible adjacent formulas provide structural clues but are not a zero-reasoning copy because the solver must connect Year!D personal-day counting to YTD!K and then to YTD!L."
+  },
+  "D2": {
+    "score": 5,
+    "reason": "The layer-1 GT formulas YTD!L6:L25 consistently compute Personal Days Remaining as Personal Days per Year minus Personal Days Taken, i.e. =Jrow-Krow. This matches the cached values shown and is deterministic. The prerequisite chain formulas are also consistent with the workbook structure."
+  },
+  "D3": {
+    "score": 4,
+    "reason": "The NL clearly identifies the final target as Personal Days Remaining in YTD column L rows 6 through 25. It also signals that related blanks should be completed, but it does not explicitly name the prerequisite columns YTD!K and Year!D, making the dependency-chain instruction somewhat vague."
+  },
+  "D4": {
+    "score": 5,
+    "reason": "Using only mask_last.xlsx and the prompt, the chain is reconstructible. YTD headers show Personal Days per Year, Personal Days Taken, and Personal Days Remaining; adjacent visible formulas for Vacation/Sick remaining show the remaining-days pattern. YTD visible formulas for Vacation/Sick taken reference Year columns, giving the cross-sheet aggregation pattern. On the Year sheet, adjacent visible formulas for Vacation and Illness count day codes with full-day and half-day variants, and the Personal header plus prompt mentioning Personal/P1 gives enough evidence to infer the analogous Personal formula. This is hard but solvable, not dependent on hidden constants.",
+    "d4_type": "ok"
+  },
+  "D5": {
+    "score": 5,
+    "reason": "The source workbook appears internally sound: headers are meaningful, formulas are consistent across rows and categories, cross-sheet references point to valid cells/ranges, and there is no evidence of corruption, circularity, or broken formulas."
+  },
+  "D6": {
+    "score": 4,
+    "reason": "The prompt is reasonably natural as a workplace spreadsheet-completion request, though phrases like explicit cell coordinates and 'related blanks are in place where needed' make it slightly benchmark-like and less direct than a typical human request."
+  },
+  "total": 28,
+  "verdict": "RELEASE",
+  "verdict_reason": "High-quality task: clean masking, correct GT, valid cross-sheet dependency chain, and sufficient visible evidence for reconstruction. Minor NL vagueness around prerequisites is acceptable.",
+  "frontier_hardness": {
+    "score": 3,
+    "reason": "A frontier model may need careful multi-hop reasoning across YTD and Year sheets and must reconstruct three formula patterns, but the evidence is clear and adjacent exemplars strongly constrain the solution. It is challenging but likely solvable for a strong model.",
+    "fail_reason": "cross_sheet_multi_hop",
+    "is_valid_hardness": true
+  },
+  "_prompt_chars": 41805,
+  "_timing_load_workbooks": 0.31,
+  "_timing_context": 0.01,
+  "_timing_api": 19.99,
+  "local_difficulty": {
+    "difficulty_score": 79.3,
+    "difficulty": "hard",
+    "depth": 3,
+    "total_masked": 60,
+    "is_cross_sheet": true,
+    "unique_patterns": 3,
+    "avg_complexity": 11,
+    "cross_refs": 20,
+    "visible_exemplar_ratio": 0.048
+  },
+  "task_id": "cross_sheet__dag_a4bc40e1dcbe",
+  "elapsed": 20.3,
+  "publish_decision": "YES",
+  "release_tier": "GOLD",
+  "hard_block_reasons": []
+}

FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-01088/target_contract.json

@@ -0,0 +1,127 @@
+{
+  "task_id": "cross_sheet__dag_a4bc40e1dcbe",
+  "category": "cross_sheet",
+  "depth": 3,
+  "final_target": {
+    "regions": [
+      {
+        "sheet": "YTD",
+        "column": "L",
+        "column_header": "Personal Days Remaining",
+        "cell_range": "L6:L25",
+        "cell_count": 20,
+        "rows": [
+          6,
+          7,
+          8,
+          9,
+          10,
+          11,
+          12,
+          13,
+          14,
+          15,
+          16,
+          17,
+          18,
+          19,
+          20,
+          21,
+          22,
+          23,
+          24,
+          25
+        ],
+        "first_row_label": "a",
+        "last_row_label": "t"
+      }
+    ],
+    "cell_count": 20,
+    "formula_families": [
+      "arithmetic"
+    ]
+  },
+  "prerequisite_steps": [
+    {
+      "layer": 3,
+      "regions": [
+        {
+          "sheet": "Year",
+          "column": "D",
+          "column_header": "Personal",
+          "cell_range": "D6:D25",
+          "cell_count": 20,
+          "rows": [
+            6,
+            7,
+            8,
+            9,
+            10,
+            11,
+            12,
+            13,
+            14,
+            15,
+            16,
+            17,
+            18,
+            19,
+            20,
+            21,
+            22,
+            23,
+            24,
+            25
+          ],
+          "first_row_label": "a",
+          "last_row_label": "t"
+        }
+      ],
+      "cell_count": 20
+    },
+    {
+      "layer": 2,
+      "regions": [
+        {
+          "sheet": "YTD",
+          "column": "K",
+          "column_header": "Personal Days Taken",
+          "cell_range": "K6:K25",
+          "cell_count": 20,
+          "rows": [
+            6,
+            7,
+            8,
+            9,
+            10,
+            11,
+            12,
+            13,
+            14,
+            15,
+            16,
+            17,
+            18,
+            19,
+            20,
+            21,
+            22,
+            23,
+            24,
+            25
+          ],
+          "first_row_label": "a",
+          "last_row_label": "t"
+        }
+      ],
+      "cell_count": 20
+    }
+  ],
+  "total_prerequisite_cells": 40,
+  "total_masked_cells": 60,
+  "ratio_total_vs_final": 3.0,
+  "sheets_involved": [
+    "YTD",
+    "Year"
+  ]
+}

FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-01088/task_meta.json

@@ -0,0 +1,46 @@
+{
+  "fcb_id": "FCB-01088",
+  "task_id": "cross_sheet__dag_a4bc40e1dcbe",
+  "tier": "T2_HARD",
+  "category": "cross_sheet",
+  "depth": 3,
+  "total_masked": 60,
+  "is_cross_sheet": true,
+  "prompt_en": "The YTD sheet is an HR Year-to-Date Summary for 2011-2012, with employee name fields and day categories such as Vacation, Personal, Illness, PD, P1, and V1. Please complete the blank entries in the Personal Days Remaining column on the YTD sheet, specifically column L rows 6 through 25. The workbook also includes person-level information such as Person_1 and related day-use fields, so make sure those related blanks are in place where needed before the YTD remaining-day entries are finalized. When done, save the completed file as an .xlsx workbook.",
+  "prompt_cn": "YTD 工作表是一份 2011-2012 年的人力资源年度累计汇总，里面包含员工姓名字段，以及 Vacation、Personal、Illness、PD、P1、V1 等请假类别。请补全 YTD 工作表中 Personal Days Remaining 这一列的空白项，位置是 L 列第 6 行到第 25 行。工作簿中还包含 Person_1 等个人层面的信息和相关的请假使用字段，因此在最终填写 YTD 的剩余天数字段前，请确保相关空白内容也已按需要补齐。完成后，请将文件保存为 .xlsx 工作簿。",
+  "qc": {
+    "total": 28,
+    "verdict": "RELEASE",
+    "D1": 5,
+    "D2": 5,
+    "D3": 4,
+    "D4": 5,
+    "D5": 5,
+    "D6": 4,
+    "frontier_hardness": 3,
+    "local_difficulty": 79.3
+  },
+  "source_file_id": "159986d1338919439-attendance-tracking-according-to-hire-date-attendance-2011-2012-test-5qq",
+  "inferred_domain": "hr",
+  "domain_confidence": 0.5,
+  "sheet_profiles": [
+    {
+      "name": "YTD",
+      "used_range": "A1:P26",
+      "row_count": 26,
+      "col_count": 16,
+      "has_header": false,
+      "title_hint": "YTD",
+      "header_info": null
+    },
+    {
+      "name": "Year",
+      "used_range": "A1:NG35",
+      "row_count": 35,
+      "col_count": 371,
+      "has_header": false,
+      "title_hint": "Year",
+      "header_info": null
+    }
+  ]
+}

FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-01093/audit.json

@@ -0,0 +1,529 @@
+{
+  "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 20 cells"
+        },
+        {
+          "check": "header_grounding",
+          "pass": true,
+          "severity": "pass",
+          "detail": "1/1 final regions have column_header"
+        },
+        {
+          "check": "mask_consistency",
+          "pass": true,
+          "detail": "mask_last=33729B, src=42953B"
+        },
+        {
+          "check": "dirty_family",
+          "pass": true,
+          "detail": "0 dirty cells"
+        },
+        {
+          "check": "ratio_gate",
+          "pass": true,
+          "detail": "ratio=3.0 (total=60, final=20)"
+        },
+        {
+          "check": "dedup_gate",
+          "pass": true,
+          "detail": "0 duplicate cells across layers"
+        },
+        {
+          "check": "gt_uniqueness",
+          "pass": true,
+          "detail": "17 unique values across 60 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=3, prompt=3, missing=1",
+          "missing_ranges": [
+            "G6:G25"
+          ],
+          "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=2, no explicit steps found (v5 natural format)",
+          "severity": "OK"
+        },
+        {
+          "check": "sheet_name_match",
+          "pass": true,
+          "detail": "contract=['YTD', 'Year'], 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 20 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": "referenced=1 mentioned=1 missing=0",
+          "severity": "OK"
+        },
+        {
+          "check": "exemplar_consistency",
+          "pass": true,
+          "severity": "OK",
+          "detail": "checked 3 col groups"
+        },
+        {
+          "check": "nl_gt_operation_consistency",
+          "pass": true,
+          "detail": "GT funcs: ['SUM', 'SUMPRODUCT']",
+          "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 60 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": 60,
+      "total_non_none": 60,
+      "block_reasons": [],
+      "warnings": [
+        "mixed_gt_types:{'int': 45, 'float': 15}"
+      ],
+      "checks": {
+        "rank_tie_risk": {
+          "rank_cells": 0,
+          "tie_issues": 0,
+          "details": []
+        },
+        "trivial_gt": {
+          "issues": []
+        },
+        "gt_type_consistency": {
+          "types": {
+            "int": 45,
+            "float": 15
+          },
+          "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": 60
+      }
+    },
+    "solver_visibility": {
+      "contract_cells": 60,
+      "total_masked": 60,
+      "total_visible": 1252,
+      "depth": 3,
+      "block_reasons": [
+        "broken_chains:20/60=33.3%"
+      ],
+      "warnings": [],
+      "checks": {
+        "broken_chains": {
+          "count": 20,
+          "checked": 60,
+          "details": [
+            {
+              "cell": "Year!E11",
+              "missing_dep": "Year!F11",
+              "formula": "=SUMPRODUCT(($F11:MD11=\"I\")+(F11:MD11=\"I1\")/2)"
+            },
+            {
+              "cell": "Year!E8",
+              "missing_dep": "Year!F8",
+              "formula": "=SUMPRODUCT(($F8:MD8=\"I\")+(F8:MD8=\"I1\")/2)"
+            },
+            {
+              "cell": "Year!E14",
+              "missing_dep": "Year!F14",
+              "formula": "=SUMPRODUCT(($F14:MD14=\"I\")+(F14:MD14=\"I1\")/2)"
+            },
+            {
+              "cell": "Year!E20",
+              "missing_dep": "Year!F20",
+              "formula": "=SUMPRODUCT(($F20:MD20=\"I\")+(F20:MD20=\"I1\")/2)"
+            },
+            {
+              "cell": "Year!E17",
+              "missing_dep": "Year!F17",
+              "formula": "=SUMPRODUCT(($F17:MD17=\"I\")+(F17:MD17=\"I1\")/2)"
+            },
+            {
+              "cell": "Year!E23",
+              "missing_dep": "Year!F23",
+              "formula": "=SUMPRODUCT(($F23:MD23=\"I\")+(F23:MD23=\"I1\")/2)"
+            },
+            {
+              "cell": "Year!E7",
+              "missing_dep": "Year!F7",
+              "formula": "=SUMPRODUCT(($F7:MD7=\"I\")+(F7:MD7=\"I1\")/2)"
+            },
+            {
+              "cell": "Year!E13",
+              "missing_dep": "Year!G13",
+              "formula": "=SUMPRODUCT(($F13:MD13=\"I\")+(F13:MD13=\"I1\")/2)"
+            },
+            {
+              "cell": "Year!E10",
+              "missing_dep": "Year!F10",
+              "formula": "=SUMPRODUCT(($F10:MD10=\"I\")+(F10:MD10=\"I1\")/2)"
+            },
+            {
+              "cell": "Year!E16",
+              "missing_dep": "Year!F16",
+              "formula": "=SUMPRODUCT(($F16:MD16=\"I\")+(F16:MD16=\"I1\")/2)"
+            },
+            {
+              "cell": "Year!E19",
+              "missing_dep": "Year!G19",
+              "formula": "=SUMPRODUCT(($F19:MD19=\"I\")+(F19:MD19=\"I1\")/2)"
+            },
+            {
+              "cell": "Year!E25",
+              "missing_dep": "Year!F25",
+              "formula": "=SUMPRODUCT(($F25:MD25=\"I\")+(F25:MD25=\"I1\")/2)"
+            },
+            {
+              "cell": "Year!E22",
+              "missing_dep": "Year!F22",
+              "formula": "=SUMPRODUCT(($F22:MD22=\"I\")+(F22:MD22=\"I1\")/2)"
+            },
+            {
+              "cell": "Year!E6",
+              "missing_dep": "Year!F6",
+              "formula": "=SUMPRODUCT(($F6:MD6=\"I\")+(F6:MD6=\"I1\")/2)"
+            },
+            {
+              "cell": "Year!E9",
+              "missing_dep": "Year!F9",
+              "formula": "=SUMPRODUCT(($F9:MD9=\"I\")+(F9:MD9=\"I1\")/2)"
+            },
+            {
+              "cell": "Year!E12",
+              "missing_dep": "Year!F12",
+              "formula": "=SUMPRODUCT(($F12:MD12=\"I\")+(F12:MD12=\"I1\")/2)"
+            },
+            {
+              "cell": "Year!E18",
+              "missing_dep": "Year!F18",
+              "formula": "=SUMPRODUCT(($F18:MD18=\"I\")+(F18:MD18=\"I1\")/2)"
+            },
+            {
+              "cell": "Year!E15",
+              "missing_dep": "Year!F15",
+              "formula": "=SUMPRODUCT(($F15:MD15=\"I\")+(F15:MD15=\"I1\")/2)"
+            },
+            {
+              "cell": "Year!E21",
+              "missing_dep": "Year!F21",
+              "formula": "=SUMPRODUCT(($F21:MD21=\"I\")+(F21:MD21=\"I1\")/2)"
+            },
+            {
+              "cell": "Year!E24",
+              "missing_dep": "Year!F24",
+              "formula": "=SUMPRODUCT(($F24:MD24=\"I\")+(F24:MD24=\"I1\")/2)"
+            }
+          ]
+        },
+        "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": 3,
+          "total_src_patterns": 8,
+          "zero_exemplar_count": 1,
+          "low_exemplar_count": 0
+        },
+        "zero_exemplar_patterns": {
+          "pass": false,
+          "patterns": [
+            {
+              "pattern": "=SUMPRODUCT((RANGE=\"I\")+(RANGE=\"REF\")/2)",
+              "total_in_src": 20,
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+}

FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-01093/ground_truth_full.json

@@ -0,0 +1,542 @@
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FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-01093/ground_truth_target.json

@@ -0,0 +1,162 @@
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+  {
+    "sheet": "YTD",
+    "col": "I",
+    "row": 24,
+    "formula": "=F24-G24",
+    "cached_value": 12,
+    "pattern_id": "pf_0004"
+  },
+  {
+    "sheet": "YTD",
+    "col": "I",
+    "row": 25,
+    "formula": "=F25-G25",
+    "cached_value": 7,
+    "pattern_id": "pf_0004"
+  }
+]

FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-01093/layers.json

@@ -0,0 +1,412 @@
+{
+  "dag_id": "dag_d82215804f0f",
+  "file_id": "159986d1338919439-attendance-tracking-according-to-hire-date-attendance-2011-2012-test-5qq",
+  "category": "cross_sheet",
+  "surface_category": "cross_sheet",
+  "effective_category": "cross_sheet",
+  "depth": 3,
+  "quality": {
+    "chain_error_cells": 0,
+    "chain_external_cells": 0,
+    "is_clean": true
+  },
+  "layers": [
+    {
+      "layer_index": 1,
+      "new_pattern_groups": [
+        {
+          "region_ids": [
+            "rg_00005"
+          ],
+          "sheet": "YTD",
+          "col": "I",
+          "rows": [
+            6,
+            7,
+            8,
+            9,
+            10,
+            11,
+            12,
+            13,
+            14,
+            15,
+            16,
+            17,
+            18,
+            19,
+            20,
+            21,
+            22,
+            23,
+            24,
+            25
+          ],
+          "row_ranges": "6-25",
+          "row_count": 20,
+          "pattern_id": "pf_0004",
+          "normalized_pattern": "=[C-3,R]-[C-2,R]",
+          "sample_formula": "=F6-G6"
+        }
+      ],
+      "new_eval_cells": 20,
+      "total_masked_cells": 20
+    },
+    {
+      "layer_index": 2,
+      "new_pattern_groups": [
+        {
+          "region_ids": [
+            "rg_00004"
+          ],
+          "sheet": "YTD",
+          "col": "G",
+          "rows": [
+            6,
+            7,
+            8,
+            9,
+            10,
+            11,
+            12,
+            13,
+            14,
+            15,
+            16,
+            17,
+            18,
+            19,
+            20,
+            21,
+            22,
+            23,
+            24,
+            25
+          ],
+          "row_ranges": "6-25",
+          "row_count": 20,
+          "pattern_id": "pf_0003",
+          "normalized_pattern": "=SUM(YEAR![C-2,R])",
+          "sample_formula": "=SUM(Year!E6)"
+        }
+      ],
+      "new_eval_cells": 20,
+      "total_masked_cells": 40
+    },
+    {
+      "layer_index": 3,
+      "new_pattern_groups": [
+        {
+          "region_ids": [
+            "rg_00011"
+          ],
+          "sheet": "Year",
+          "col": "E",
+          "rows": [
+            6
+          ],
+          "row_ranges": "6",
+          "row_count": 1,
+          "pattern_id": "pf_0010",
+          "normalized_pattern": "=SUMPRODUCT(([$F,R]:[C+337,R]=\"I\")+([C+1,R]:[C+337,R]=\"[C+4,R-5]\")/2)",
+          "sample_formula": "=SUMPRODUCT(($F6:MD6=\"I\")+(F6:MD6=\"I1\")/2)"
+        },
+        {
+          "region_ids": [
+            "rg_00014"
+          ],
+          "sheet": "Year",
+          "col": "E",
+          "rows": [
+            7
+          ],
+          "row_ranges": "7",
+          "row_count": 1,
+          "pattern_id": "pf_0013",
+          "normalized_pattern": "=SUMPRODUCT(([$F,R]:[C+337,R]=\"I\")+([C+1,R]:[C+337,R]=\"[C+4,R-6]\")/2)",
+          "sample_formula": "=SUMPRODUCT(($F7:MD7=\"I\")+(F7:MD7=\"I1\")/2)"
+        },
+        {
+          "region_ids": [
+            "rg_00017"
+          ],
+          "sheet": "Year",
+          "col": "E",
+          "rows": [
+            8
+          ],
+          "row_ranges": "8",
+          "row_count": 1,
+          "pattern_id": "pf_0016",
+          "normalized_pattern": "=SUMPRODUCT(([$F,R]:[C+337,R]=\"I\")+([C+1,R]:[C+337,R]=\"[C+4,R-7]\")/2)",
+          "sample_formula": "=SUMPRODUCT(($F8:MD8=\"I\")+(F8:MD8=\"I1\")/2)"
+        },
+        {
+          "region_ids": [
+            "rg_00020"
+          ],
+          "sheet": "Year",
+          "col": "E",
+          "rows": [
+            9
+          ],
+          "row_ranges": "9",
+          "row_count": 1,
+          "pattern_id": "pf_0019",
+          "normalized_pattern": "=SUMPRODUCT(([$F,R]:[C+337,R]=\"I\")+([C+1,R]:[C+337,R]=\"[C+4,R-8]\")/2)",
+          "sample_formula": "=SUMPRODUCT(($F9:MD9=\"I\")+(F9:MD9=\"I1\")/2)"
+        },
+        {
+          "region_ids": [
+            "rg_00023"
+          ],
+          "sheet": "Year",
+          "col": "E",
+          "rows": [
+            10
+          ],
+          "row_ranges": "10",
+          "row_count": 1,
+          "pattern_id": "pf_0022",
+          "normalized_pattern": "=SUMPRODUCT(([$F,R]:[C+337,R]=\"I\")+([C+1,R]:[C+337,R]=\"[C+4,R-9]\")/2)",
+          "sample_formula": "=SUMPRODUCT(($F10:MD10=\"I\")+(F10:MD10=\"I1\")/2)"
+        },
+        {
+          "region_ids": [
+            "rg_00026"
+          ],
+          "sheet": "Year",
+          "col": "E",
+          "rows": [
+            11
+          ],
+          "row_ranges": "11",
+          "row_count": 1,
+          "pattern_id": "pf_0025",
+          "normalized_pattern": "=SUMPRODUCT(([$F,R]:[C+337,R]=\"I\")+([C+1,R]:[C+337,R]=\"[C+4,R-10]\")/2)",
+          "sample_formula": "=SUMPRODUCT(($F11:MD11=\"I\")+(F11:MD11=\"I1\")/2)"
+        },
+        {
+          "region_ids": [
+            "rg_00029"
+          ],
+          "sheet": "Year",
+          "col": "E",
+          "rows": [
+            12
+          ],
+          "row_ranges": "12",
+          "row_count": 1,
+          "pattern_id": "pf_0028",
+          "normalized_pattern": "=SUMPRODUCT(([$F,R]:[C+337,R]=\"I\")+([C+1,R]:[C+337,R]=\"[C+4,R-11]\")/2)",
+          "sample_formula": "=SUMPRODUCT(($F12:MD12=\"I\")+(F12:MD12=\"I1\")/2)"
+        },
+        {
+          "region_ids": [
+            "rg_00032"
+          ],
+          "sheet": "Year",
+          "col": "E",
+          "rows": [
+            13
+          ],
+          "row_ranges": "13",
+          "row_count": 1,
+          "pattern_id": "pf_0031",
+          "normalized_pattern": "=SUMPRODUCT(([$F,R]:[C+337,R]=\"I\")+([C+1,R]:[C+337,R]=\"[C+4,R-12]\")/2)",
+          "sample_formula": "=SUMPRODUCT(($F13:MD13=\"I\")+(F13:MD13=\"I1\")/2)"
+        },
+        {
+          "region_ids": [
+            "rg_00035"
+          ],
+          "sheet": "Year",
+          "col": "E",
+          "rows": [
+            14
+          ],
+          "row_ranges": "14",
+          "row_count": 1,
+          "pattern_id": "pf_0034",
+          "normalized_pattern": "=SUMPRODUCT(([$F,R]:[C+337,R]=\"I\")+([C+1,R]:[C+337,R]=\"[C+4,R-13]\")/2)",
+          "sample_formula": "=SUMPRODUCT(($F14:MD14=\"I\")+(F14:MD14=\"I1\")/2)"
+        },
+        {
+          "region_ids": [
+            "rg_00038"
+          ],
+          "sheet": "Year",
+          "col": "E",
+          "rows": [
+            15
+          ],
+          "row_ranges": "15",
+          "row_count": 1,
+          "pattern_id": "pf_0037",
+          "normalized_pattern": "=SUMPRODUCT(([$F,R]:[C+337,R]=\"I\")+([C+1,R]:[C+337,R]=\"[C+4,R-14]\")/2)",
+          "sample_formula": "=SUMPRODUCT(($F15:MD15=\"I\")+(F15:MD15=\"I1\")/2)"
+        },
+        {
+          "region_ids": [
+            "rg_00041"
+          ],
+          "sheet": "Year",
+          "col": "E",
+          "rows": [
+            16
+          ],
+          "row_ranges": "16",
+          "row_count": 1,
+          "pattern_id": "pf_0040",
+          "normalized_pattern": "=SUMPRODUCT(([$F,R]:[C+337,R]=\"I\")+([C+1,R]:[C+337,R]=\"[C+4,R-15]\")/2)",
+          "sample_formula": "=SUMPRODUCT(($F16:MD16=\"I\")+(F16:MD16=\"I1\")/2)"
+        },
+        {
+          "region_ids": [
+            "rg_00044"
+          ],
+          "sheet": "Year",
+          "col": "E",
+          "rows": [
+            17
+          ],
+          "row_ranges": "17",
+          "row_count": 1,
+          "pattern_id": "pf_0043",
+          "normalized_pattern": "=SUMPRODUCT(([$F,R]:[C+337,R]=\"I\")+([C+1,R]:[C+337,R]=\"[C+4,R-16]\")/2)",
+          "sample_formula": "=SUMPRODUCT(($F17:MD17=\"I\")+(F17:MD17=\"I1\")/2)"
+        },
+        {
+          "region_ids": [
+            "rg_00047"
+          ],
+          "sheet": "Year",
+          "col": "E",
+          "rows": [
+            18
+          ],
+          "row_ranges": "18",
+          "row_count": 1,
+          "pattern_id": "pf_0046",
+          "normalized_pattern": "=SUMPRODUCT(([$F,R]:[C+337,R]=\"I\")+([C+1,R]:[C+337,R]=\"[C+4,R-17]\")/2)",
+          "sample_formula": "=SUMPRODUCT(($F18:MD18=\"I\")+(F18:MD18=\"I1\")/2)"
+        },
+        {
+          "region_ids": [
+            "rg_00050"
+          ],
+          "sheet": "Year",
+          "col": "E",
+          "rows": [
+            19
+          ],
+          "row_ranges": "19",
+          "row_count": 1,
+          "pattern_id": "pf_0049",
+          "normalized_pattern": "=SUMPRODUCT(([$F,R]:[C+337,R]=\"I\")+([C+1,R]:[C+337,R]=\"[C+4,R-18]\")/2)",
+          "sample_formula": "=SUMPRODUCT(($F19:MD19=\"I\")+(F19:MD19=\"I1\")/2)"
+        },
+        {
+          "region_ids": [
+            "rg_00053"
+          ],
+          "sheet": "Year",
+          "col": "E",
+          "rows": [
+            20
+          ],
+          "row_ranges": "20",
+          "row_count": 1,
+          "pattern_id": "pf_0052",
+          "normalized_pattern": "=SUMPRODUCT(([$F,R]:[C+337,R]=\"I\")+([C+1,R]:[C+337,R]=\"[C+4,R-19]\")/2)",
+          "sample_formula": "=SUMPRODUCT(($F20:MD20=\"I\")+(F20:MD20=\"I1\")/2)"
+        },
+        {
+          "region_ids": [
+            "rg_00056"
+          ],
+          "sheet": "Year",
+          "col": "E",
+          "rows": [
+            21
+          ],
+          "row_ranges": "21",
+          "row_count": 1,
+          "pattern_id": "pf_0055",
+          "normalized_pattern": "=SUMPRODUCT(([$F,R]:[C+337,R]=\"I\")+([C+1,R]:[C+337,R]=\"[C+4,R-20]\")/2)",
+          "sample_formula": "=SUMPRODUCT(($F21:MD21=\"I\")+(F21:MD21=\"I1\")/2)"
+        },
+        {
+          "region_ids": [
+            "rg_00059"
+          ],
+          "sheet": "Year",
+          "col": "E",
+          "rows": [
+            22
+          ],
+          "row_ranges": "22",
+          "row_count": 1,
+          "pattern_id": "pf_0058",
+          "normalized_pattern": "=SUMPRODUCT(([$F,R]:[C+337,R]=\"I\")+([C+1,R]:[C+337,R]=\"[C+4,R-21]\")/2)",
+          "sample_formula": "=SUMPRODUCT(($F22:MD22=\"I\")+(F22:MD22=\"I1\")/2)"
+        },
+        {
+          "region_ids": [
+            "rg_00062"
+          ],
+          "sheet": "Year",
+          "col": "E",
+          "rows": [
+            23
+          ],
+          "row_ranges": "23",
+          "row_count": 1,
+          "pattern_id": "pf_0061",
+          "normalized_pattern": "=SUMPRODUCT(([$F,R]:[C+337,R]=\"I\")+([C+1,R]:[C+337,R]=\"[C+4,R-22]\")/2)",
+          "sample_formula": "=SUMPRODUCT(($F23:MD23=\"I\")+(F23:MD23=\"I1\")/2)"
+        },
+        {
+          "region_ids": [
+            "rg_00065"
+          ],
+          "sheet": "Year",
+          "col": "E",
+          "rows": [
+            24
+          ],
+          "row_ranges": "24",
+          "row_count": 1,
+          "pattern_id": "pf_0064",
+          "normalized_pattern": "=SUMPRODUCT(([$F,R]:[C+337,R]=\"I\")+([C+1,R]:[C+337,R]=\"[C+4,R-23]\")/2)",
+          "sample_formula": "=SUMPRODUCT(($F24:MD24=\"I\")+(F24:MD24=\"I1\")/2)"
+        },
+        {
+          "region_ids": [
+            "rg_00068"
+          ],
+          "sheet": "Year",
+          "col": "E",
+          "rows": [
+            25
+          ],
+          "row_ranges": "25",
+          "row_count": 1,
+          "pattern_id": "pf_0067",
+          "normalized_pattern": "=SUMPRODUCT(([$F,R]:[C+337,R]=\"I\")+([C+1,R]:[C+337,R]=\"[C+4,R-24]\")/2)",
+          "sample_formula": "=SUMPRODUCT(($F25:MD25=\"I\")+(F25:MD25=\"I1\")/2)"
+        }
+      ],
+      "new_eval_cells": 20,
+      "total_masked_cells": 60
+    }
+  ],
+  "sink": {
+    "region_id": "rg_00005",
+    "sheet": "YTD",
+    "col": "I",
+    "pattern_id": "pf_0004",
+    "row_count": 20,
+    "family_size": 20
+  }
+}

FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-01093/nl_task.json

@@ -0,0 +1,26 @@
+{
+  "task_id": "cross_sheet__dag_d82215804f0f",
+  "prompt_en": "The Year-to-Date Summary sheet for 2011-2012 is an HR absence record, with employee fields like Last Name and First Name alongside vacation and illness-related columns from the individual Person_1-style sheets. On the YTD sheet, please fill in the blank entries in the Sick Days Remaining column, specifically I6:I25. Some related absence details elsewhere in the workbook need to be in place for this summary column to make sense, so keep the YTD entries consistent with the visible employee records and absence categories such as Vacation, Personal, Illness, PD, P1, and V1. Please save the completed workbook as an .xlsx file.",
+  "prompt_cn": "这个 2011-2012 的 Year-to-Date Summary 工作表是一份 HR 缺勤记录，里面有 Last Name、First Name 等员工信息，也汇总了来自 Person_1 这类个人工作表中的休假和病假相关栏目。请在 YTD 工作表中填写 Sick Days Remaining 列里的空白项，位置是 I6:I25。工作簿中其他相关的缺勤信息需要先保持完整，这样这个汇总列才有意义；请让 YTD 中的内容与可见的员工记录以及 Vacation、Personal、Illness、PD、P1、V1 等缺勤类别保持一致。完成后请将工作簿保存为 .xlsx 文件。",
+  "quality_notes": "The prompt is minimal and business-focused, identifies the target sheet and range, mentions the HR absence context and natural cross-sheet dependency without giving calculation or formula hints, and ends with the required .xlsx save instruction.",
+  "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": 43.4,
+  "attempt": 2
+}

FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-01093/release_qc.json

@@ -0,0 +1,58 @@
+{
+  "binary": true,
+  "binary_reason": "Well-designed chain-masked cross-sheet task: masked cells are real and clean, GT is consistent, and visible adjacent formulas/headers provide enough evidence to reconstruct the chain.",
+  "D1": {
+    "score": 5,
+    "reason": "All 60 contract cells are truly masked with no extra masking and no phantom ranges. The masked ranges are within the actual sheet dimensions. Formula-cache loss is correctly outside the true mask count. Adjacent formulas provide structural clues, but the task is not trivially copyable because the solver must infer the cross-sheet illness aggregation and then propagate it into YTD sick-days formulas."
+  },
+  "D2": {
+    "score": 5,
+    "reason": "The layer-1 GT formulas YTD!I6:I25 use the expected remaining-days pattern, Sick Days per Year minus Sick Days Taken, i.e. =Frow-Grow. The cached values are consistent with that structure, and the prerequisite formulas shown in src.xlsx also align with the visible workbook logic. No evidence of broken or inconsistent GT formulas."
+  },
+  "D3": {
+    "score": 4,
+    "reason": "The NL clearly identifies the final range I6:I25 and the Sick Days Remaining column. It also signals that related absence details elsewhere must be consistent, which fits the chain-masking setup. However, it does not explicitly name the prerequisite ranges YTD!G6:G25 and Year!E6:E25, so the solver must infer those dependencies from the workbook."
+  },
+  "D4": {
+    "score": 5,
+    "reason": "Using only mask_last.xlsx and the prompt, the dependency chain is reconstructible. YTD headers show Sick Days Taken and Sick Days Remaining, while adjacent visible formulas show the pattern for taken days as SUM(Year!category row) and remaining days as allowance minus taken. On the Year sheet, the Illness column sits beside visible Vacation and Personal formulas, making the analogous SUMPRODUCT over the date row with illness codes inferable. The prompt supplies HR absence context and mentions absence categories, so the masked chain has sufficient root evidence.",
+    "d4_type": "ok"
+  },
+  "D5": {
+    "score": 5,
+    "reason": "The source workbook appears internally coherent: headers are meaningful, employee rows align across YTD and Year sheets, formulas follow consistent HR absence-accounting patterns, and there are no apparent corrupted values, circular references, or broken references in the provided context."
+  },
+  "D6": {
+    "score": 4,
+    "reason": "The NL sounds mostly like a plausible workplace request, asking to complete a YTD HR absence summary and save the workbook. It is slightly benchmark-like in its explicit cell range and broad category listing, but remains natural enough."
+  },
+  "total": 28,
+  "verdict": "RELEASE",
+  "verdict_reason": "High-quality task with clean masking, correct GT, meaningful cross-sheet dependency structure, and sufficient visible evidence for reconstruction. Minor NL vagueness about prerequisites is acceptable under the chain-masking design.",
+  "frontier_hardness": {
+    "score": 3,
+    "reason": "This is moderately hard because it requires reconstructing a three-layer chain across YTD and Year sheets and adapting adjacent formula patterns. However, the formulas are regular and strongly signposted by headers and neighboring columns, so a frontier model would likely have a reasonable chance of success rather than being very likely to fail.",
+    "fail_reason": "cross_sheet_multi_hop",
+    "is_valid_hardness": true
+  },
+  "_prompt_chars": 45910,
+  "_timing_load_workbooks": 1.59,
+  "_timing_context": 0.04,
+  "_timing_api": 134.08,
+  "local_difficulty": {
+    "difficulty_score": 79.3,
+    "difficulty": "hard",
+    "depth": 3,
+    "total_masked": 60,
+    "is_cross_sheet": true,
+    "unique_patterns": 3,
+    "avg_complexity": 11,
+    "cross_refs": 20,
+    "visible_exemplar_ratio": 0.048
+  },
+  "task_id": "cross_sheet__dag_d82215804f0f",
+  "elapsed": 135.7,
+  "publish_decision": "YES",
+  "release_tier": "GOLD",
+  "hard_block_reasons": []
+}

FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-01093/target_contract.json

@@ -0,0 +1,127 @@
+{
+  "task_id": "cross_sheet__dag_d82215804f0f",
+  "category": "cross_sheet",
+  "depth": 3,
+  "final_target": {
+    "regions": [
+      {
+        "sheet": "YTD",
+        "column": "I",
+        "column_header": "Sick Days Remaining",
+        "cell_range": "I6:I25",
+        "cell_count": 20,
+        "rows": [
+          6,
+          7,
+          8,
+          9,
+          10,
+          11,
+          12,
+          13,
+          14,
+          15,
+          16,
+          17,
+          18,
+          19,
+          20,
+          21,
+          22,
+          23,
+          24,
+          25
+        ],
+        "first_row_label": "a",
+        "last_row_label": "t"
+      }
+    ],
+    "cell_count": 20,
+    "formula_families": [
+      "arithmetic"
+    ]
+  },
+  "prerequisite_steps": [
+    {
+      "layer": 3,
+      "regions": [
+        {
+          "sheet": "Year",
+          "column": "E",
+          "column_header": "Illness",
+          "cell_range": "E6:E25",
+          "cell_count": 20,
+          "rows": [
+            6,
+            7,
+            8,
+            9,
+            10,
+            11,
+            12,
+            13,
+            14,
+            15,
+            16,
+            17,
+            18,
+            19,
+            20,
+            21,
+            22,
+            23,
+            24,
+            25
+          ],
+          "first_row_label": "a",
+          "last_row_label": "t"
+        }
+      ],
+      "cell_count": 20
+    },
+    {
+      "layer": 2,
+      "regions": [
+        {
+          "sheet": "YTD",
+          "column": "G",
+          "column_header": "Sick Days Taken",
+          "cell_range": "G6:G25",
+          "cell_count": 20,
+          "rows": [
+            6,
+            7,
+            8,
+            9,
+            10,
+            11,
+            12,
+            13,
+            14,
+            15,
+            16,
+            17,
+            18,
+            19,
+            20,
+            21,
+            22,
+            23,
+            24,
+            25
+          ],
+          "first_row_label": "a",
+          "last_row_label": "t"
+        }
+      ],
+      "cell_count": 20
+    }
+  ],
+  "total_prerequisite_cells": 40,
+  "total_masked_cells": 60,
+  "ratio_total_vs_final": 3.0,
+  "sheets_involved": [
+    "YTD",
+    "Year"
+  ]
+}

FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-01093/task_meta.json

@@ -0,0 +1,46 @@
+{
+  "fcb_id": "FCB-01093",
+  "task_id": "cross_sheet__dag_d82215804f0f",
+  "tier": "T2_HARD",
+  "category": "cross_sheet",
+  "depth": 3,
+  "total_masked": 60,
+  "is_cross_sheet": true,
+  "prompt_en": "The Year-to-Date Summary sheet for 2011-2012 is an HR absence record, with employee fields like Last Name and First Name alongside vacation and illness-related columns from the individual Person_1-style sheets. On the YTD sheet, please fill in the blank entries in the Sick Days Remaining column, specifically I6:I25. Some related absence details elsewhere in the workbook need to be in place for this summary column to make sense, so keep the YTD entries consistent with the visible employee records and absence categories such as Vacation, Personal, Illness, PD, P1, and V1. Please save the completed workbook as an .xlsx file.",
+  "prompt_cn": "这个 2011-2012 的 Year-to-Date Summary 工作表是一份 HR 缺勤记录，里面有 Last Name、First Name 等员工信息，也汇总了来自 Person_1 这类个人工作表中的休假和病假相关栏目。请在 YTD 工作表中填写 Sick Days Remaining 列里的空白项，位置是 I6:I25。工作簿中其他相关的缺勤信息需要先保持完整，这样这个汇总列才有意义；请让 YTD 中的内容与可见的员工记录以及 Vacation、Personal、Illness、PD、P1、V1 等缺勤类别保持一致。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": 5,
+    "D5": 5,
+    "D6": 4,
+    "frontier_hardness": 3,
+    "local_difficulty": 79.3
+  },
+  "source_file_id": "159986d1338919439-attendance-tracking-according-to-hire-date-attendance-2011-2012-test-5qq",
+  "inferred_domain": "hr",
+  "domain_confidence": 0.5,
+  "sheet_profiles": [
+    {
+      "name": "YTD",
+      "used_range": "A1:P26",
+      "row_count": 26,
+      "col_count": 16,
+      "has_header": false,
+      "title_hint": "YTD",
+      "header_info": null
+    },
+    {
+      "name": "Year",
+      "used_range": "A1:NG35",
+      "row_count": 35,
+      "col_count": 371,
+      "has_header": false,
+      "title_hint": "Year",
+      "header_info": null
+    }
+  ]
+}

FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-01097/audit.json

@@ -0,0 +1,532 @@
+{
+  "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 20 cells"
+        },
+        {
+          "check": "header_grounding",
+          "pass": true,
+          "severity": "pass",
+          "detail": "1/1 final regions have column_header"
+        },
+        {
+          "check": "mask_consistency",
+          "pass": true,
+          "detail": "mask_last=43236B, src=66536B"
+        },
+        {
+          "check": "dirty_family",
+          "pass": true,
+          "detail": "0 dirty cells"
+        },
+        {
+          "check": "ratio_gate",
+          "pass": true,
+          "detail": "ratio=3.0 (total=60, final=20)"
+        },
+        {
+          "check": "dedup_gate",
+          "pass": true,
+          "detail": "0 duplicate cells across layers"
+        },
+        {
+          "check": "gt_uniqueness",
+          "pass": true,
+          "detail": "60 unique values across 60 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": "20 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=3, prompt=1, 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=2, no explicit steps found (v5 natural format)",
+          "severity": "OK"
+        },
+        {
+          "check": "sheet_name_match",
+          "pass": false,
+          "detail": "contract=['UNIFAC (VLE)', 'aij-UNIFAC (VLE)'], missing=['aij-UNIFAC (VLE)']",
+          "severity": "INFO"
+        },
+        {
+          "check": "no_formula_leak",
+          "pass": true,
+          "detail": "0 formula leaks",
+          "severity": "OK"
+        },
+        {
+          "check": "no_value_leak",
+          "pass": true,
+          "detail": "0 value leaks out of 20 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=2 mentioned=1 missing=1 [aij-UNIFAC (VLE)]",
+          "severity": "SOFT_WARN"
+        },
+        {
+          "check": "exemplar_consistency",
+          "pass": true,
+          "severity": "OK",
+          "detail": "checked 3 col groups; CONFLICTS: aij-UNIFAC (VLE)!X35: visible='=Z9' vs GT pattern='=VLOOKUP($T#,$A$#:$E$#,#,FALSE'; aij-UNIFAC (VLE)!X36: visible='=EXP(-Z10/($U$6+273.15))' vs GT pattern='=VLOOKUP($T#,$A$#:$E$#,#,FALSE'"
+        },
+        {
+          "check": "nl_gt_operation_consistency",
+          "pass": false,
+          "detail": "GT funcs: ['LN', 'UNIFAC', 'VLOOKUP']; MISMATCHES: GT uses VLOOKUP but NL doesn't mention any of: find, look up, lookup, match",
+          "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 60 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": 60,
+      "total_non_none": 60,
+      "block_reasons": [],
+      "warnings": [
+        "mixed_gt_types:{'float': 40, 'int': 20}"
+      ],
+      "checks": {
+        "rank_tie_risk": {
+          "rank_cells": 0,
+          "tie_issues": 0,
+          "details": []
+        },
+        "trivial_gt": {
+          "issues": []
+        },
+        "gt_type_consistency": {
+          "types": {
+            "float": 40,
+            "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": 60
+      }
+    },
+    "solver_visibility": {
+      "contract_cells": 60,
+      "total_masked": 60,
+      "total_visible": 1150,
+      "depth": 3,
+      "block_reasons": [
+        "broken_chains:21/60=35.0%"
+      ],
+      "warnings": [],
+      "checks": {
+        "broken_chains": {
+          "count": 21,
+          "checked": 60,
+          "details": [
+            {
+              "cell": "aij-UNIFAC (VLE)!X25",
+              "missing_dep": "aij-UNIFAC (VLE)!C34",
+              "formula": "=VLOOKUP($T25,$A$34:$E$63,5,FALSE)"
+            },
+            {
+              "cell": "UNIFAC (VLE)!AO23",
+              "missing_dep": "UNIFAC (VLE)!W23",
+              "formula": "='aij-UNIFAC (VLE)'!$X10*(1-LN(W23)-AI23)"
+            },
+            {
+              "cell": "aij-UNIFAC (VLE)!X12",
+              "missing_dep": "aij-UNIFAC (VLE)!C34",
+              "formula": "=VLOOKUP($T12,$A$34:$E$63,5,FALSE)"
+            },
+            {
+              "cell": "aij-UNIFAC (VLE)!X15",
+              "missing_dep": "aij-UNIFAC (VLE)!C34",
+              "formula": "=VLOOKUP($T15,$A$34:$E$63,5,FALSE)"
+            },
+            {
+              "cell": "aij-UNIFAC (VLE)!X21",
+              "missing_dep": "aij-UNIFAC (VLE)!C34",
+              "formula": "=VLOOKUP($T21,$A$34:$E$63,5,FALSE)"
+            },
+            {
+              "cell": "aij-UNIFAC (VLE)!X18",
+              "missing_dep": "aij-UNIFAC (VLE)!C34",
+              "formula": "=VLOOKUP($T18,$A$34:$E$63,5,FALSE)"
+            },
+            {
+              "cell": "aij-UNIFAC (VLE)!X24",
+              "missing_dep": "aij-UNIFAC (VLE)!C34",
+              "formula": "=VLOOKUP($T24,$A$34:$E$63,5,FALSE)"
+            },
+            {
+              "cell": "aij-UNIFAC (VLE)!X27",
+              "missing_dep": "aij-UNIFAC (VLE)!C34",
+              "formula": "=VLOOKUP($T27,$A$34:$E$63,5,FALSE)"
+            },
+            {
+              "cell": "aij-UNIFAC (VLE)!X14",
+              "missing_dep": "aij-UNIFAC (VLE)!C34",
+              "formula": "=VLOOKUP($T14,$A$34:$E$63,5,FALSE)"
+            },
+            {
+              "cell": "aij-UNIFAC (VLE)!X11",
+              "missing_dep": "aij-UNIFAC (VLE)!C34",
+              "formula": "=VLOOKUP($T11,$A$34:$E$63,5,FALSE)"
+            },
+            {
+              "cell": "aij-UNIFAC (VLE)!X17",
+              "missing_dep": "aij-UNIFAC (VLE)!C34",
+              "formula": "=VLOOKUP($T17,$A$34:$E$63,5,FALSE)"
+            },
+            {
+              "cell": "aij-UNIFAC (VLE)!X23",
+              "missing_dep": "aij-UNIFAC (VLE)!C34",
+              "formula": "=VLOOKUP($T23,$A$34:$E$63,5,FALSE)"
+            },
+            {
+              "cell": "aij-UNIFAC (VLE)!X20",
+              "missing_dep": "aij-UNIFAC (VLE)!C34",
+              "formula": "=VLOOKUP($T20,$A$34:$E$63,5,FALSE)"
+            },
+            {
+              "cell": "aij-UNIFAC (VLE)!X26",
+              "missing_dep": "aij-UNIFAC (VLE)!C34",
+              "formula": "=VLOOKUP($T26,$A$34:$E$63,5,FALSE)"
+            },
+            {
+              "cell": "aij-UNIFAC (VLE)!X29",
+              "missing_dep": "aij-UNIFAC (VLE)!C34",
+              "formula": "=VLOOKUP($T29,$A$34:$E$63,5,FALSE)"
+            },
+            {
+              "cell": "aij-UNIFAC (VLE)!X10",
+              "missing_dep": "aij-UNIFAC (VLE)!C34",
+              "formula": "=VLOOKUP($T10,$A$34:$E$63,5,FALSE)"
+            },
+            {
+              "cell": "aij-UNIFAC (VLE)!X16",
+              "missing_dep": "aij-UNIFAC (VLE)!C34",
+              "formula": "=VLOOKUP($T16,$A$34:$E$63,5,FALSE)"
+            },
+            {
+              "cell": "aij-UNIFAC (VLE)!X13",
+              "missing_dep": "aij-UNIFAC (VLE)!C34",
+              "formula": "=VLOOKUP($T13,$A$34:$E$63,5,FALSE)"
+            },
+            {
+              "cell": "aij-UNIFAC (VLE)!X19",
+              "missing_dep": "aij-UNIFAC (VLE)!C34",
+              "formula": "=VLOOKUP($T19,$A$34:$E$63,5,FALSE)"
+            },
+            {
+              "cell": "aij-UNIFAC (VLE)!X22",
+              "missing_dep": "aij-UNIFAC (VLE)!C34",
+              "formula": "=VLOOKUP($T22,$A$34:$E$63,5,FALSE)"
+            }
+          ]
+        },
+        "orphan_masks": {
+          "count": 0,
+          "details": []
+        },
+        "self_contained": {
+          "missing_sheets": []
+        }
+      }
+    },
+    "exemplar": {
+      "soft_block": true,
+      "block_reasons": [
+        "zero_exemplar:1_patterns"
+      ],
+      "checks": {
+        "pattern_coverage": {
+          "pass": false,
+          "total_gt_patterns": 3,
+          "total_src_patterns": 21,
+          "zero_exemplar_count": 1,
+          "low_exemplar_count": 0
+        },
+        "zero_exemplar_patterns": {
+          "pass": false,
+          "patterns": [
+            {
+              "pattern": "=VLOOKUP(REF,RANGE,5,FALSE)",
+              "total_in_src": 20,
+              "sample_formula": "=VLOOKUP($T10,$A$34:$E$63,5,FALSE)"
+            }
+          ]
+        },
+        "low_exemplar_patterns": {
+          "pass": true,
+          "patterns": []
+        },
+        "func_coverage": {
+          "UNIFAC": {
+            "total_masked": 40,
+            "visible_exemplars": 378
+          },
+          "VLOOKUP": {
+            "total_masked": 20,
+            "visible_exemplars": 60
+          }
+        }
+      }
+    },
+    "shortcut": {
+      "shortcut_risk": 0.5,
+      "flags": [
+        {
+          "code": "SC3",
+          "description": "Copy-from-visible: 20/60 GT cells have nearby visible formula clones",
+          "affected_cells": 20,
+          "severity": "medium"
+        }
+      ]
+    },
+    "release_audit": {
+      "surface_single_sheet": false,
+      "surface_sheets": [
+        "UNIFAC (VLE)",
+        "aij-UNIFAC (VLE)"
+      ],
+      "cross_sheet_actual": true,
+      "cross_sheet_ref_count": 40,
+      "referenced_sheets": [
+        "UNIFAC (VLE)",
+        "aij-UNIFAC (VLE)"
+      ],
+      "target_shape": "single_column_series",
+      "layer_sizes": [
+        20,
+        20,
+        20
+      ],
+      "mask_last_total_cells": 60,
+      "layer_growth_ratios": [
+        1.0,
+        1.0
+      ],
+      "pattern_dominance_ratio": 0.3333,
+      "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": "cross_sheet__dag_ea1ad6922e66",
+    "difficulty_score": 77.8,
+    "difficulty": "hard",
+    "depth": 3,
+    "total_masked": 60,
+    "is_cross_sheet": true,
+    "unique_patterns": 3,
+    "avg_complexity": 9.0,
+    "cross_refs": 40,
+    "visible_exemplar_ratio": 0.048,
+    "score_breakdown": {
+      "depth": 14,
+      "cross_sheet": 10,
+      "cell_count": 11.8,
+      "patterns": 9,
+      "complexity": 13.5,
+      "cross_refs": 10,
+      "vis_penalty": 9.5
+    }
+  }
+}

FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-01097/ground_truth_full.json

@@ -0,0 +1,542 @@
+[
+  {
+    "sheet": "UNIFAC (VLE)",
+    "col": "AO",
+    "row": 23,
+    "formula": "='aij-UNIFAC (VLE)'!$X10*(1-LN(W23)-AI23)",
+    "cached_value": 0.3128724226554017,
+    "pattern_id": "pf_0004",
+    "layer": 1
+  },
+  {
+    "sheet": "UNIFAC (VLE)",
+    "col": "AO",
+    "row": 24,
+    "formula": "='aij-UNIFAC (VLE)'!$X11*(1-LN(W24)-AI24)",
+    "cached_value": 0.19923479744565678,
+    "pattern_id": "pf_0004",
+    "layer": 1
+  },
+  {
+    "sheet": "UNIFAC (VLE)",
+    "col": "AO",
+    "row": 25,
+    "formula": "='aij-UNIFAC (VLE)'!$X12*(1-LN(W25)-AI25)",
+    "cached_value": 0.08412135892149952,
+    "pattern_id": "pf_0004",
+    "layer": 1
+  },
+  {
+    "sheet": "UNIFAC (VLE)",
+    "col": "AO",
+    "row": 26,
+    "formula": "='aij-UNIFAC (VLE)'!$X13*(1-LN(W26)-AI26)",
+    "cached_value": 0.12006523709294994,
+    "pattern_id": "pf_0004",
+    "layer": 1
+  },
+  {
+    "sheet": "UNIFAC (VLE)",
+    "col": "AO",
+    "row": 27,
+    "formula": "='aij-UNIFAC (VLE)'!$X14*(1-LN(W27)-AI27)",
+    "cached_value": 0.03601957112788498,
+    "pattern_id": "pf_0004",
+    "layer": 1
+  },
+  {
+    "sheet": "UNIFAC (VLE)",
+    "col": "AO",
+    "row": 28,
+    "formula": "='aij-UNIFAC (VLE)'!$X15*(1-LN(W28)-AI28)",
+    "cached_value": 0.1858016129249781,
+    "pattern_id": "pf_0004",
+    "layer": 1
+  },
+  {
+    "sheet": "UNIFAC (VLE)",
+    "col": "AO",
+    "row": 29,
+    "formula": "='aij-UNIFAC (VLE)'!$X16*(1-LN(W29)-AI29)",
+    "cached_value": 0.12668291790339417,
+    "pattern_id": "pf_0004",
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+  "surface_category": "cross_sheet",
+  "effective_category": "cross_sheet",
+  "depth": 3,
+  "quality": {
+    "chain_error_cells": 0,
+    "chain_external_cells": 0,
+    "is_clean": true
+  },
+  "layers": [
+    {
+      "layer_index": 1,
+      "new_pattern_groups": [
+        {
+          "region_ids": [
+            "rg_00052"
+          ],
+          "sheet": "UNIFAC (VLE)",
+          "col": "AO",
+          "rows": [
+            23,
+            24,
+            25,
+            26,
+            27,
+            28,
+            29,
+            30,
+            31,
+            32,
+            33,
+            34,
+            35,
+            36,
+            37,
+            38,
+            39,
+            40,
+            41,
+            42
+          ],
+          "row_ranges": "23-42",
+          "row_count": 20,
+          "pattern_id": "pf_0004",
+          "normalized_pattern": "='AIJ-UNIFAC(VLE)'![$X,R-13]*(1-LN([C-18,R])-[C-6,R])",
+          "sample_formula": "='aij-UNIFAC (VLE)'!$X10*(1-LN(W23)-AI23)"
+        }
+      ],
+      "new_eval_cells": 20,
+      "total_masked_cells": 20
+    },
+    {
+      "layer_index": 2,
+      "new_pattern_groups": [
+        {
+          "region_ids": [
+            "rg_00072"
+          ],
+          "sheet": "aij-UNIFAC (VLE)",
+          "col": "X",
+          "rows": [
+            10,
+            11,
+            12,
+            13,
+            14,
+            15,
+            16,
+            17,
+            18,
+            19,
+            20,
+            21,
+            22,
+            23,
+            24,
+            25,
+            26,
+            27,
+            28,
+            29
+          ],
+          "row_ranges": "10-29",
+          "row_count": 20,
+          "pattern_id": "pf_0015",
+          "normalized_pattern": "=VLOOKUP([$T,R],[$A,$34]:[$E,$63],5,FALSE)",
+          "sample_formula": "=VLOOKUP($T10,$A$34:$E$63,5,FALSE)"
+        }
+      ],
+      "new_eval_cells": 20,
+      "total_masked_cells": 40
+    },
+    {
+      "layer_index": 3,
+      "new_pattern_groups": [
+        {
+          "region_ids": [
+            "rg_00068"
+          ],
+          "sheet": "aij-UNIFAC (VLE)",
+          "col": "T",
+          "rows": [
+            10,
+            11,
+            12,
+            13,
+            14,
+            15,
+            16,
+            17,
+            18,
+            19,
+            20,
+            21,
+            22,
+            23,
+            24,
+            25,
+            26,
+            27,
+            28,
+            29
+          ],
+          "row_ranges": "10-29",
+          "row_count": 20,
+          "pattern_id": "pf_0011",
+          "normalized_pattern": "='UNIFAC(VLE)'![C-18,R+13]",
+          "sample_formula": "='UNIFAC (VLE)'!B23"
+        }
+      ],
+      "new_eval_cells": 20,
+      "total_masked_cells": 60
+    }
+  ],
+  "sink": {
+    "region_id": "rg_00052",
+    "sheet": "UNIFAC (VLE)",
+    "col": "AO",
+    "pattern_id": "pf_0004",
+    "row_count": 20,
+    "family_size": 20
+  }
+}

FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-01097/nl_task.json

@@ -0,0 +1,26 @@
+{
+  "task_id": "cross_sheet__dag_ea1ad6922e66",
+  "prompt_en": "On the UNIFAC (VLE) sheet, this instructional thermodynamics worksheet is set up around vapor–liquid equilibrium entries such as T(oC), P=, @ P = 1 atm, T [degC], xi [liquid mol fraction], yi [vapor mol fraction], and the residual group interaction parameter table. The blank area I need completed is the Sj{QjYkj/(SiQiYij)} column, specifically AO23:AO42. Some related blank columns in this same UNIFAC section need to be in place before that column is meaningful, so please complete the surrounding required entries as needed and then fill in the Sj{QjYkj/(SiQiYij)} values. Please save the completed workbook as an .xlsx file.",
+  "prompt_cn": "在“UNIFAC (VLE)”工作表中，这是一份用于汽液平衡内容的教学热力学表格，表里能看到 T(oC)、P=、@ P = 1 atm、T [degC]、xi [liquid mol fraction]、yi [vapor mol fraction] 以及残余基团相互作用参数表等项目。现在需要补全的是 Sj{QjYkj/(SiQiYij)} 这一列，位置是 AO23:AO42。同一区域里有些相关的空白列需要先补齐，这样这一列的内容才有意义；请根据表中已有信息把必要的周边项目补好，然后填写 Sj{QjYkj/(SiQiYij)} 的这些值。请将完成后的工作簿保存为 .xlsx 文件。",
+  "quality_notes": "The prompt identifies the relevant sheet, visible workbook context, target column, and range while avoiding formulas, calculation instructions, or explicit dependency details. It mentions prerequisite blanks only in a natural, high-level way and ends with the required .xlsx save instruction.",
+  "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": 28.8,
+  "attempt": 1
+}