# Mathematical Optimization on MinMax Distance n=3

Source: [Mathematical Optimization on MinMax Distance n=3](<https://www.sota2.com/research/sota/mathematical-optimization-on-minmax-distance-n-3>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2026-02-26T05:37:45.643Z

Evaluation of mathematical optimization algorithms applied to the MinMax Distance problem instance defined by n=3, reporting average and best performance metrics.

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

| Scope | Recorded value |
| --- | --- |
| Task | Mathematical Optimization |
| Dataset (including any stated split) | MinMax Distance n=3 |
| Metric | Best Result |
| Unit | SCALAR |
| Direction | Lower is better |
| Results loaded | 10 of 10 |
| Coverage | All results currently returned for this benchmark |

Evaluation settings may differ between results. The original papers and recorded configurations are needed to establish comparability. A shared metric name alone does not establish an identical protocol.

## Metrics

- [Best Result](<https://www.sota2.com/research/sota/mathematical-optimization-on-minmax-distance-n-3.md?metric=Best%20Result>): Lower is better; unit: SCALAR.

- [Average Result](<https://www.sota2.com/research/sota/mathematical-optimization-on-minmax-distance-n-3.md?metric=Average%20Result>): Lower is better; unit: SCALAR.

## Recorded results

| Method | Best Result | Result date | Report paper |
| --- | --- | --- | --- |
| GEPA | 0.2178 | Not recorded | 699d30ca6017c4460ffab84b |
| OpenEvolve | 0.2243 | Not recorded | 699d30ca6017c4460ffab84b |
| GEPA | 0.2392 | Not recorded | 699d30ca6017c4460ffab84b |
| AlphaEvolve | 0.2398 | Not recorded | 699d30ca6017c4460ffab84b |
| ShinkaEvolve | 0.2398 | Not recorded | 699d30ca6017c4460ffab84b |
| OpenEvolve | 0.2398 | Not recorded | 699d30ca6017c4460ffab84b |
| ShinkaEvolve | 0.2398 | Not recorded | 699d30ca6017c4460ffab84b |
| Human | 0.2399 | Not recorded | 699d30ca6017c4460ffab84b |
| AdaEvolve | 0.2404 | Not recorded | 699d30ca6017c4460ffab84b |
| AdaEvolve | 0.2404 | Not recorded | 699d30ca6017c4460ffab84b |

### GEPA

Best Result: 0.2178. Result ID: 699d4f155698665ec4f1909c.

[Reporting paper](<https://www.sota2.com/research/paper/699d30ca6017c4460ffab84b.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa7a3a1e209131cea81ee3.md>)

Recorded evaluation configuration: {"Backbone":"Gemini-3-Pro"}. This record does not assert independent reproduction.

### OpenEvolve

Best Result: 0.2243. Result ID: 699d4f155698665ec4f19097.

[Reporting paper](<https://www.sota2.com/research/paper/699d30ca6017c4460ffab84b.md>)

Recorded evaluation configuration: {"Backbone":"GPT-5"}. This record does not assert independent reproduction.

### GEPA

Best Result: 0.2392. Result ID: 699d4f155698665ec4f19098.

[Reporting paper](<https://www.sota2.com/research/paper/699d30ca6017c4460ffab84b.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa7a3a1e209131cea81ee3.md>)

Recorded evaluation configuration: {"Backbone":"GPT-5"}. This record does not assert independent reproduction.

### AlphaEvolve

Best Result: 0.2398. Result ID: 699d4f155698665ec4f19096.

[Reporting paper](<https://www.sota2.com/research/paper/699d30ca6017c4460ffab84b.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa796a1e209131cea7d80d.md>)

Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction.

### ShinkaEvolve

Best Result: 0.2398. Result ID: 699d4f155698665ec4f19099.

[Reporting paper](<https://www.sota2.com/research/paper/699d30ca6017c4460ffab84b.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa7b851e209131cea88df8.md>)

Recorded evaluation configuration: {"Backbone":"GPT-5"}. This record does not assert independent reproduction.

### OpenEvolve

Best Result: 0.2398. Result ID: 699d4f155698665ec4f1909b.

[Reporting paper](<https://www.sota2.com/research/paper/699d30ca6017c4460ffab84b.md>)

Recorded evaluation configuration: {"Backbone":"Gemini-3-Pro"}. This record does not assert independent reproduction.

### ShinkaEvolve

Best Result: 0.2398. Result ID: 699d4f155698665ec4f1909d.

[Reporting paper](<https://www.sota2.com/research/paper/699d30ca6017c4460ffab84b.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa7b851e209131cea88df8.md>)

Recorded evaluation configuration: {"Backbone":"Gemini-3-Pro"}. This record does not assert independent reproduction.

### Human

Best Result: 0.2399. Result ID: 699d4f155698665ec4f19095.

[Reporting paper](<https://www.sota2.com/research/paper/699d30ca6017c4460ffab84b.md>)

Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction.

### AdaEvolve

Best Result: 0.2404. Result ID: 699d4f155698665ec4f1909a.

[Reporting paper](<https://www.sota2.com/research/paper/699d30ca6017c4460ffab84b.md>)

[Method origin paper](<https://www.sota2.com/research/paper/699d30ca6017c4460ffab84b.md>)

Recorded evaluation configuration: {"Backbone":"GPT-5"}. This record does not assert independent reproduction.

### AdaEvolve

Best Result: 0.2404. Result ID: 699d4f155698665ec4f1909e.

[Reporting paper](<https://www.sota2.com/research/paper/699d30ca6017c4460ffab84b.md>)

[Method origin paper](<https://www.sota2.com/research/paper/699d30ca6017c4460ffab84b.md>)

Recorded evaluation configuration: {"Backbone":"Gemini-3-Pro"}. This record does not assert independent reproduction.

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