{"slug":"brycewang-stanford-formula-derivation","source_name":"brycewang-stanford/formula-derivation","name":"Brycewang Stanford/Formula Derivation","description":"Structures and derives research formulas when the user wants to 推导公式, build a theory line, organize assumptions, turn scattered equations into a coherent derivation, or rewrite theory notes into a paper-ready formula document. Use when the derivation target is not yet fully fixed, the main object still needs to be chosen, or the user needs a coherent derivation package rather than a finished theorem proof.","version":2,"lift":{"pass_rate_delta_pts":21.74,"pass_rate_pct":78.3,"total_cases":23,"passed_cases":18,"tokens_delta_pct":47.8,"turns_delta_pct":0,"verdict":"mixed","benchmark_model":"gemini-3.6-flash","grading_method":"judged","completed_at":"2026-08-11T05:14:37.498679+00:00"},"skill_score":0.7826,"benchmark_models":[{"model":"gemini-3.6-flash","headline":true,"delta_pts":21.74,"with_pass_pct":78.3,"without_pass_pct":56.5,"tokens_delta_pct":47.8,"turns_delta_pct":0,"total_cases":23,"cases_aggregated":23,"verdict":"mixed","never_hurt":false,"completed_at":"2026-08-11T05:14:37.498679+00:00","run_id":"9a54f028-0221-449d-b2e1-e68fd434eeaf","version_number":2,"is_latest_version":true,"gate":null}],"trust":{"skill_safety":"passed","safety_status":"clean","intent_verdict":"safe","content_status":"clean","indexable":true},"license":"NOASSERTION","install_count":0,"manifest_hash":"1e8f3b8a2eaaf7ed269dde27e0d094bd78845d08217ec4fcaf4c11292cfe9dae","raw_url":"https://app.decimal.ai/s/brycewang-stanford-formula-derivation/SKILL.md","scorecard_url":"https://app.decimal.ai/skills/brycewang-stanford-formula-derivation"}