PDEAgent-Bench - Firedrake: leaderboard

PDEAgent-Bench (Hang et al., 2026) gives a model a structured PDE specification and asks for a complete finite-element solver in one attempt, with no execution feedback, here for the Python library Firedrake: the 510 cases of eight PDE families that the Firedrake track supports. A case passes only if the solver runs, returns a valid solution within 10 times the calibration baseline's relative L2 error and finishes within 3 times its runtime; the score is the pass rate in percent, higher is better.

Metric: Case pass rate (%; 510 Firedrake cases, single-shot, temperature 0; same pass gates). Source: arxiv.org. Saturation forecast: Around February 2027. 5 models tracked.

Top models

#ModelScoreOverall rank
1Claude Opus 4.745.9#75
2GPT-5.438#121
3Gemini 3.1 Pro (Preview)32.4#91
4Qwen 3.6 Plus22.9#217
5DeepSeek V3.22.7#403

No result here: #1 Claude Fable 5.2, #2 Gemini 4 Carbon, #5 Claude Opus 5.5.

Interactive version: theaggregate.ai/benchmark?slug=pdeagent-bench-firedrake · How It Works · Data refreshed daily, snapshot 2026-11-12.