Combinatorial geometry optimization on AlphaEvolve Math domain
99.93Circle Packing in Rect. (N=21)SMCEVOLVE
Evaluation results
| Method | Links | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| SMCEVOLVELLM model ensemble=gpt-5-mini+gemini-3-flash, Number of seeds=3, LLM-call budget termination=ESS-driven stopping2026.05 | 99.93 | 98.21 | 91.63 | 89.66 | 100 | 90.05 | 99.74 | 1.022 | 99.81 | 99.98 | — | — | |
| OPENEVOLVELLM model ensemble=gpt-5-mini+gemini-3-flash, Number of seeds=3, LLM-call budget termination=fixed (200)2026.05 | 95.14 | 93.98 | 71.78 | 87.36 | 99.15 | 25.3 | 98.93 | 1.0079 | 0.28 | 99.73 | — | 200 | |
| SHINKAEVOLVELLM model ensemble=gpt-5-mini+gemini-3-flash, Number of seeds=3, LLM-call budget termination=fixed (200)2026.05 | 95.14 | 90.69 | 70.98 | 90.46 | 98.42 | 73.86 | 99.71 | 1.013 | 99.42 | 99.9 | — | 200 | |
| REEVOLLM model ensemble=gpt-5-mini+gemini-3-flash, Number of seeds=3, LLM-call budget termination=fixed (200)2026.05 | 90.85 | 77.9 | 69.33 | 68.62 | 86.34 | 17.54 | 99.12 | 0.999 | 96.36 | 99.01 | — | 200 |