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Diagnose backend, API, worker, data-pipeline, or algorithm bugs by reproducing with inputs/tests, checking invariants and complexity assumptions, correlating logs/traces/metrics, and inspecting code. Use when a user reports wrong outputs, failing tests, timeouts, races, incorrect algorithms, flaky jobs, bad API responses, or asks why a non-UI system is broken. Diagnose, then implement the smallest fix and a regression test in the same run; stop first only for diagnosis-only requests, live-data/outside-repo changes, or a behavior-changing choice between fixes. For live web UI / browser-visible product failures, use troubleshoot-app; for agent/LLM quality failures, use agents analyze.