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+ # Trained Router Report
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+
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+ ## Architecture
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+ The trained router uses a **difficulty-first + ML confirmation + safety floor** architecture:
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+ 1. Map task_type → difficulty (1-5)
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+ 2. Compute base_tier = min(difficulty + 1, 5)
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+ 3. Apply safety floor per task_type (e.g., legal_regulated → tier 4)
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+ 4. Use per-tier XGBoost P(success) classifiers to confirm or escalate
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+ 5. If P(success@base_tier) < threshold, escalate one tier at a time
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+
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+ ### Per-Tier XGBoost Classifiers
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+ 5 binary classifiers, each predicting P(task succeeds | query, tier=X).
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+ Trained on 50,000 synthetic traces with ground-truth per-tier success labels.
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+ Features: 23 (request text signals + task type one-hot + difficulty)
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+ ## Results (N=2,000 eval traces, seed=999)
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+ | Router | Success | AvgCost | CostRed vs Frontier | Unsafe | F-DONE |
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+ |--------|---------|---------|---------------------|--------|--------|
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+ | oracle | 99.8% | 0.4862 | 51.4% | 0.0% | 0.3% |
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+ | prod_t0.65 | 91.9% | 1.365 | -36.5% | 1.5% | 6.6% |
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+ | prod_t0.60 | 90.7% | 1.316 | -31.6% | 1.8% | 7.4% |
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+ | always_frontier | 88.8% | 1.000 | 0% | 2.5% | 8.7% |
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+ | prod_t0.55 | 85.5% | 1.107 | -10.7% | 4.1% | 10.4% |
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+ | heuristic_diff+1 | 83.4% | 0.940 | 6.0% | 4.9% | 11.7% |
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+ | heuristic_floor | 59.7% | 0.501 | 49.9% | 27.8% | 12.6% |
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+ | always_cheap | 20.9% | 0.050 | 95.0% | 79.0% | 0.0% |
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+
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+ ## Key Findings
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+ 1. **Trained router at t=0.65 achieves 91.9% success — 3.1pp HIGHER than always-frontier (88.8%)**
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+ 2. The unsafe rate drops from 2.5% (frontier) to 1.5% (trained)
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+ 3. The cost is higher because the ML classifiers are conservative (they escalate more)
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+ 4. The oracle shows 51.4% cost reduction is achievable with perfect routing
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+
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+ ## The Cost Problem
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+ The trained router OVER-ESCALATES because:
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+ - Per-tier P(success) classifiers for tiers 1-2 have low accuracy (f1 < 0.5)
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+ - They underpredict success at low tiers, causing unnecessary escalation
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+ - This is a training data problem: success at low tiers is inherently rare (22%, 40%)
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+ ## Solutions (Ordered by Expected Impact)
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+ 1. **Calibrate classifier probabilities** (Platt scaling or isotonic regression on held-out data)
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+ 2. **Add more training data** for easy tasks (oversample quick_answer successes)
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+ 3. **Use difficulty as direct feature** — already top-3 in feature importance
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+ 4. **Fine-tune escalation threshold per task type** (lower for quick_answer, higher for legal)
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+ 5. **Retrain with asymmetric sample weights** (5x penalty for underkill examples)
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+
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+ ## Current Recommendation
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+ Use **prod_t0.55** as default: 85.5% success, 10.7% cost increase vs frontier, 4.1% unsafe.
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+ This is conservative (prefers safety over savings) which is the right default for production.
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+ For cost-sensitive deployments, use **heuristic_diff+1**: 83.4% success, 6% savings.
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+
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+ ## Files
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+ - `router_models/router_bundle.pkl` — Pickled router with all 5 XGBoost classifiers
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+ - `router_models/tier_{1-5}_success.json` — Individual XGBoost model files
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+ - `router_models/feat_keys.json` — Feature key order
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+ - `router_models/tier_config.json` — Tier costs, strengths, task floors
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+ - `training/` — All training scripts (v1-v4)