{
  "schemaVersion": "1.0",
  "slug": "ai-routing-threshold-120-task-cost-curve",
  "title": "When Should an AI Task Escalate to a Human? A 120-Task Cost Curve",
  "runDate": "2026-07-28",
  "executed": true,
  "sanitized": true,
  "question": "How do four human-review thresholds trade review cost against expected error loss across tasks with different consequences and reversibility?",
  "baseline": "A single confidence threshold treats a reversible low-cost draft and an irreversible high-cost action as if their errors had equal consequences.",
  "protocol": [
    "Freeze one hundred twenty task profiles with error probability, error cost, review cost, and reversibility.",
    "Apply four escalation thresholds without tuning them after inspecting results.",
    "Calculate total declared loss and retain each task's threshold-specific result."
  ],
  "sample": {
    "tasks": 120,
    "thresholds": [
      0.2,
      0.4,
      0.6,
      0.8
    ]
  },
  "results": {
    "aggregateLossByThreshold": {
      "0.2": 400.68,
      "0.4": 430.08,
      "0.6": 550.2,
      "0.8": 761.04
    },
    "lowestAggregateLossThreshold": 0.2
  },
  "negativeFindings": [
    "No threshold minimized loss for every task; cheap review favored earlier escalation while expensive review changed the tradeoff."
  ],
  "limitations": [
    "Costs and probabilities are frozen design inputs, not estimates from a deployed AI system."
  ],
  "records": [
    {
      "taskId": "A001",
      "errorProbability": 0.1,
      "errorCost": 1,
      "reviewCost": 0.5,
      "reversible": false,
      "lossByThreshold": {
        "0.2": 0.1,
        "0.4": 0.1,
        "0.6": 0.1,
        "0.8": 0.1
      },
      "lowestLossThreshold": 0.2
    },
    {
      "taskId": "A002",
      "errorProbability": 0.2,
      "errorCost": 1,
      "reviewCost": 0.5,
      "reversible": true,
      "lossByThreshold": {
        "0.2": 0.5,
        "0.4": 0.08,
        "0.6": 0.08,
        "0.8": 0.08
      },
      "lowestLossThreshold": 0.4
    },
    {
      "taskId": "A003",
      "errorProbability": 0.3,
      "errorCost": 1,
      "reviewCost": 0.5,
      "reversible": true,
      "lossByThreshold": {
        "0.2": 0.5,
        "0.4": 0.12,
        "0.6": 0.12,
        "0.8": 0.12
      },
      "lowestLossThreshold": 0.4
    },
    {
      "taskId": "A004",
      "errorProbability": 0.4,
      "errorCost": 1,
      "reviewCost": 0.5,
      "reversible": false,
      "lossByThreshold": {
        "0.2": 0.5,
        "0.4": 0.5,
        "0.6": 0.4,
        "0.8": 0.4
      },
      "lowestLossThreshold": 0.6
    },
    {
      "taskId": "A005",
      "errorProbability": 0.5,
      "errorCost": 1,
      "reviewCost": 0.5,
      "reversible": true,
      "lossByThreshold": {
        "0.2": 0.5,
        "0.4": 0.5,
        "0.6": 0.2,
        "0.8": 0.2
      },
      "lowestLossThreshold": 0.6
    },
    {
      "taskId": "A006",
      "errorProbability": 0.6,
      "errorCost": 1,
      "reviewCost": 0.5,
      "reversible": true,
      "lossByThreshold": {
        "0.2": 0.5,
        "0.4": 0.5,
        "0.6": 0.5,
        "0.8": 0.24
      },
      "lowestLossThreshold": 0.8
    },
    {
      "taskId": "A007",
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      "reviewCost": 0.5,
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        "0.6": 0.5,
        "0.8": 0.7
      },
      "lowestLossThreshold": 0.2
    },
    {
      "taskId": "A008",
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      "errorCost": 1,
      "reviewCost": 0.5,
      "reversible": true,
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      },
      "lowestLossThreshold": 0.2
    },
    {
      "taskId": "A009",
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      "lowestLossThreshold": 0.2
    },
    {
      "taskId": "A010",
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      "lowestLossThreshold": 0.2
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      "lowestLossThreshold": 0.2
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      "lowestLossThreshold": 0.4
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      "taskId": "A013",
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      "lowestLossThreshold": 0.2
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      "taskId": "A014",
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