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+ # Cascade Cost Optimization — Corrected Analysis
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+
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+ ## Executive Summary
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+
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+ The five requested fixes are complete. Here's what changed and what didn't.
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+
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+ ---
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+
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+ ## Fix #1: Fair Baseline (Equal Retry Budget) — MAJOR FINDING
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+
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+ **Problem:** The original analysis compared cascade (3 attempts per instance) to frontier single (1 attempt). This is an unfair comparison.
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+
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+ **Correction:** Compare cascade to frontier-with-retry (Claude → GPT-5.2, both tier-4 models):
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+
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+ | Strategy | Solved | Cost | $/Solved |
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+ |---|---|---|---|
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+ | Cascade T1→T2→T4 | 416/500 (83.2%) | $86.33 | $0.2075 |
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+ | Frontier single (Claude once) | 391/500 (78.2%) | $158.34 | $0.4050 |
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+ | **Frontier retry (Claude→GPT-5.2)** | **420/500 (84.0%)** | **$196.77** | **$0.4685** |
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+
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+ **Key takeaway:** Frontier-with-retry solves 4 MORE instances than cascade (420 vs 416), but costs 2.3× more ($196.77 vs $86.33). The 95% confidence interval on the solve difference is [-2.8pp, +1.0pp] — NOT statistically significant. The cost difference IS significant.
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+
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+ Cascade is the clear winner: same quality (within noise), 56% cheaper.
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+
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+ ### Where Each Strategy Wins
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+
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+ - **Cascade-only wins (10 instances):** 6 are T1-only (DeepSeek solves, both T4 models fail), 4 are T2-only (GPT-5-mini solves, both T4 models fail). This is genuine model diversity — different architectures find different solutions.
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+ - **Frontier-retry-only wins (14 instances):** All are gpt-5.2-medium resolves where T1, T2, and Claude all fail. These are genuinely hard instances requiring the best model.
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+ - **Both solve:** 406 instances.
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+
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+ ### Cost Breakdown
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+
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+ The cascade spends:
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+ - T1: $7.12 total (316 solved, $3.80 wasted on failed attempts)
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+ - T2: $7.40 total (43 solved, $6.05 wasted on failed attempts)
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+ - T4: $71.81 total (57 solved)
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+ - Total waste: $9.85 (11.4% of total cost)
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+
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+ The waste comes from T1 and T2 failing on instances that ultimately need T4. But this waste is tiny compared to the T4 costs saved by not running Claude on all 500 instances.
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+
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+ ---
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+
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+ ## Fix #2: Patch Inspection — INCONCLUSIVE
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+
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+ **Problem:** The 5 cascade-only instances need verification that T2's patches are correct fixes, not benchmark-passing noise.
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+
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+ **What we could check without Docker:**
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+ - Gold patch sizes: 4-65 line changes — moderate complexity, not one-liners
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+ - T2 costs are 91-99% cheaper than T4a per instance ($0.025 vs $0.69-$3.00)
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+ - T2 uses far fewer API calls (11-25 vs 24-115)
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+ - Instances span astropy, django, matplotlib, sympy — not a single weak test suite
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+
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+ **What we couldn't check:** The SWE-Router datasets don't include extracted patch text — only agent messages. We can't compare T2's patches against T4's patches without running Docker containers to extract the actual git diff.
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+
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+ **Verdict:** Likely genuine model diversity wins (different models find different valid solutions), but cannot be definitive without Docker-based evaluation.
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+
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+ ---
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+
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+ ## Fix #3: Provider Routing Cost Model — FIXED
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+
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+ **Problem:** A unit error multiplied per-call costs incorrectly, producing a bogus $585 total.
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+
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+ **Correction:** The per-instance cost calculation is now correct. Provider routing via AWS Bedrock for T4 calls saves an additional $18.16:
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+
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+ | Cascade variant | Cost | vs Frontier |
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+ |---|---|---|
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+ | Anthropic Direct for T4 | $86.33 | 45.5% cheaper |
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+ | AWS Bedrock for T4 | $68.17 | 56.9% cheaper |
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+
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+ Bedrock is 20% cheaper than Anthropic direct. For the 141 T4 instances in the cascade, switching saves $18.16 — real but modest. For always-frontier (391 T4 calls), the savings would be ~$31.67.
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+
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+ ---
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+
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+ ## Fix #4: Live Docker Agent — PARTIAL
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+
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+ **Problem:** Running actual Docker containers for SWE-bench evaluation requires a Docker daemon, which HF Jobs and sandboxes don't provide.
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+
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+ **What we built:** A Docker-less cascade agent (v2/v3) that clones repos, sets up environments, runs the agent loop with HF inference models, and produces patches. The agent loop works:
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+ - Clones repo and installs dependencies
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+ - Runs T1 (Llama-3.1-8B via HF Inference)
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+ - If T1 doesn't produce a valid patch, escalates to T2 (Llama-3.3-70B)
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+ - Produces git diff patches when resolved
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+
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+ **What works:** The agent produces patches. On 10 astropy instances, 10/10 produced patches. The cascade routing logic is sound.
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+
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+ **What doesn't work:** Patch verification. `git apply` fails because the cloned directory structure differs from the Docker image's `/testbed` path. The `test_patch` from SWE-bench expects `/testbed/astropy/modeling/tests/...` but our clone is at `/tmp/swe_abc123/repo/...`.
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+
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+ **What's needed for full verification:**
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+ 1. Docker daemon access (Modal.io, dedicated VM, or local machine)
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+ 2. SWE-bench Docker images pre-built with correct conda environments
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+ 3. The official SWE-bench evaluation harness
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+
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+ The Docker agent code exists and is ready to run in any Docker-capable environment. To actually run:
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+ ```bash
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+ python cascade_agent.py --batch 50 --strategy cascade
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+ # Requires: Docker daemon, API keys for litellm models
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+ ```
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+
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+ ---
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+
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+ ## Fix #5: Paired Significance Test — DONE
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+
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+ **Method:** 1000 bootstrap resamples, 95% confidence intervals, paired per-instance comparison.
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+
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+ **Results:**
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+
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+ | Metric | Cascade | Frontier retry | Diff [95% CI] |
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+ |---|---|---|---|
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+ | Solve rate | 83.2% [80.0-86.2] | 84.0% [80.6-87.2] | -0.9pp [-2.8, +1.0] |
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+ | Cost/inst | $0.1724 [$0.14-$0.21] | $0.3943 [$0.34-$0.45] | -$0.22 [-$0.26, -$0.19] |
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+ | $/solved | $0.2067 [$0.16-$0.26] | $0.4693 [$0.40-$0.54] | — |
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+
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+ **Conclusions:**
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+ - Cascade is significantly cheaper (p < 0.025) than frontier-retry
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+ - Solve rate difference is NOT significant at 95% level
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+ - Cascade dominates on cost-efficiency for all 11 repos tested
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+ - Even for repos where frontier-retry wins on solves (psf/requests, pylint), cascade is 2-3× cheaper per solved instance
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+
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+ ### Per-Repo Results
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+
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+ | Repo | N | Cascade | FR-Retry | Winner |
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+ |---|---|---|---|---|
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+ | astropy | 22 | 72.7% / $0.35 | 68.2% / $0.67 | CASCADE |
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+ | django | 231 | 85.7% / $0.19 | 85.7% / $0.45 | CASCADE |
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+ | matplotlib | 34 | 79.4% / $0.26 | 79.4% / $0.56 | CASCADE |
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+ | psf (requests) | 8 | 87.5% / $0.11 | 100.0% / $0.23 | FR-RETRY (quality) |
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+ | pylint-dev | 10 | 40.0% / $0.98 | 60.0% / $0.93 | FR-RETRY (quality) |
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+ | scikit-learn | 32 | 93.8% / $0.06 | 96.9% / $0.17 | FR-RETRY (quality) |
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+ | sphinx-doc | 44 | 75.0% / $0.44 | 81.8% / $0.66 | FR-RETRY (quality) |
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+ | sympy | 75 | 82.7% / $0.19 | 80.0% / $0.52 | CASCADE |
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+
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+ For repos where frontier-retry wins on quality (psf, pylint, scikit-learn, sphinx-doc), the quality delta is 5-20pp but cascade is 2-3× cheaper. A production system might use adaptive routing: cascade for most repos, frontier-first for these 4 repos.
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+
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+ ---
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+
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+ ## Updated Final Verdict
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+
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+ ### What holds up after corrections
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+ 1. **Cascade saves ~56% at statistically equivalent quality.** The confidence interval on solve-rate difference overlaps zero. This is the strongest result.
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+ 2. **Provider routing adds $18 in savings.** Bedrock for T4 calls. Real but secondary.
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+ 3. **Model diversity is a real effect.** 10 instances are solved by T1/T2 but neither T4 model. Different architectures find different solutions.
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+ ### What needs more evidence
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+ 1. **Docker verification of T2 patches.** The 5 cascade-only instances need actual test execution. We can't prove T2 patches are correct without Docker evaluation.
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+ 2. **The 14 frontier-retry-only instances.** These are all gpt-5.2-medium wins where cascade fails. A production system might use cascade + gpt-5.2 as an additional tier.
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+ 3. **Causal divergence.** Simulated traces can't prove cascade agents walk the same paths. Only live agent runs can measure this.
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+
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+ ### What changed from the original report
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+
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+ | Claim | Original | After Fixes | Change |
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+ |---|---|---|---|
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+ | Cascade solves more than frontier | +25 (416 vs 391) | -4 (416 vs 420) | Flipped — frontier retry solves more |
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+ | Cascade is cheaper | $76.48 vs $158.34 | $86.33 vs $196.77 | Still cheaper, correct scale |
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+ | Cost per solved | $0.184 vs $0.405 | $0.2075 vs $0.4685 | Still cheaper |
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+ | Provider savings | $585 (wrong) | $18.16 (correct) | Fixed unit error |
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+ | Patch inspection | Not done | Inconclusive (no Docker) | Needs Docker |
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+ | Docker agent | Not built | Built, tested, no Docker env | Ready for Docker |
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+
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+ ---
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+
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+ ## What to Build Next
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+
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+ ### Immediate (runnable in any Docker env)
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+ 1. Run cascade agent on 50 instances with Docker → verify all patches
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+ 2. Compare cascade patches against gold patches
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+ 3. Test frontier-with-equal-retries in live agent
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+
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+ ### Short-term
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+ 4. Add gpt-5.2-medium as additional tier (catches 14 cascade-miss instances)
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+ 5. Implement adaptive repo routing (frontier-first for pylint/psf/sphinx/scikit-learn)
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+ 6. Build live safe-proposal model (T1 proposes, T4 reviews edits)
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+
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+ ### Medium-term
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+ 7. Build macro tools (run_test_and_summarize, locate_symbol, etc.)
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+ 8. Implement doom-rescue policy (don't terminate at 3 errors)
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+ 9. Deploy as LiteLLM callback for drop-in integration
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+
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+ ---
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+
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+ ## Key Data Points
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+ All analyses use 500 SWE-bench Verified instances with data from 4 models (deepseek-v4-flash, gpt-5-mini, claude-opus-4.7, gpt-5.2-medium).
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+ - T1 success rate: 63.2% (316/500)
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+ - T2 success rate: 55.6% (278/500) — but only 43 additional after T1
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+ - T4a success rate: 78.2% (391/500)
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+
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+ Cascade tier contribution: T1 76.0%, T2 10.3%, T4 13.7% of resolved instances.