# Mathematical Reasoning on Polaris (test)

Source: [Mathematical Reasoning on Polaris (test)](<https://www.sota2.com/research/sota/mathematical-reasoning-on-polaris-test>)

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

Data updated: 2026-05-27T08:40:39.732Z

Evaluation of model performance on the test split of the Polaris dataset focusing on reinforcement learning efficiency metrics, such as cumulative rollouts and efficiency ratios.

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 Reasoning |
| Dataset (including any stated split) | Polaris (test) |
| Metric | Cumulative Rollouts (M) |
| Unit | SCALAR |
| Direction | Higher is better |
| Results loaded | 16 of 16 |
| 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

- [Cumulative Rollouts (M)](<https://www.sota2.com/research/sota/mathematical-reasoning-on-polaris-test.md?metric=Cumulative%20Rollouts%20(M)>): Higher is better; unit: SCALAR.

- [Efficiency Ratio (GRPO/PC)](<https://www.sota2.com/research/sota/mathematical-reasoning-on-polaris-test.md?metric=Efficiency%20Ratio%20(GRPO%2FPC)>): Higher is better; unit: SCALAR.

- [Efficiency Ratio (DAPO/PC)](<https://www.sota2.com/research/sota/mathematical-reasoning-on-polaris-test.md?metric=Efficiency%20Ratio%20(DAPO%2FPC)>): Higher is better; unit: SCALAR.

## Recorded results

| Method | Cumulative Rollouts (M) | Result date | Report paper |
| --- | --- | --- | --- |
| DAPO | 4.92 | Not recorded | 6a167a79dbd7150506f7fed0 |
| GRPO | 4.1 | Not recorded | 6a167a79dbd7150506f7fed0 |
| DAPO | 2.7 | Not recorded | 6a167a79dbd7150506f7fed0 |
| GRPO | 2.5 | Not recorded | 6a167a79dbd7150506f7fed0 |
| Pilot-Commit | 2.15 | Not recorded | 6a167a79dbd7150506f7fed0 |
| DAPO | 1.69 | Not recorded | 6a167a79dbd7150506f7fed0 |
| Pilot-Commit | 1.66 | Not recorded | 6a167a79dbd7150506f7fed0 |
| GRPO | 1.56 | Not recorded | 6a167a79dbd7150506f7fed0 |
| DAPO | 1.26 | Not recorded | 6a167a79dbd7150506f7fed0 |
| Pilot-Commit | 1.04 | Not recorded | 6a167a79dbd7150506f7fed0 |
| GRPO | 0.73 | Not recorded | 6a167a79dbd7150506f7fed0 |
| GRPO | 0.63 | Not recorded | 6a167a79dbd7150506f7fed0 |
| GRPO | 0.52 | Not recorded | 6a167a79dbd7150506f7fed0 |
| Pilot-Commit | 0.51 | Not recorded | 6a167a79dbd7150506f7fed0 |
| Pilot-Commit | 0.51 | Not recorded | 6a167a79dbd7150506f7fed0 |
| Pilot-Commit | 0.47 | Not recorded | 6a167a79dbd7150506f7fed0 |

### DAPO

Cumulative Rollouts (M): 4.92. Result ID: 6a16ace4fbc373592c0fd970.

[Reporting paper](<https://www.sota2.com/research/paper/6a167a79dbd7150506f7fed0.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa78a81e209131cea79ac6.md>)

Recorded evaluation configuration: {"Model Scale":"14B","Budget Type":"ample","Rollout count per prompt (n)":"64","Target Accuracy":"57.0%\*"}. This record does not assert independent reproduction.

### GRPO

Cumulative Rollouts (M): 4.1. Result ID: 6a16ace4fbc373592c0fd96f.

[Reporting paper](<https://www.sota2.com/research/paper/6a167a79dbd7150506f7fed0.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa73101e209131cea5a395.md>)

[Implementation](<https://github.com/deepseek-ai/DeepSeek-Math>)

Recorded evaluation configuration: {"Model Scale":"14B","Budget Type":"ample","Rollout count per prompt (n)":"64","Target Accuracy":"57.0%\*"}. This record does not assert independent reproduction.

### DAPO

Cumulative Rollouts (M): 2.7. Result ID: 6a16ace4fbc373592c0fd96d.

[Reporting paper](<https://www.sota2.com/research/paper/6a167a79dbd7150506f7fed0.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa78a81e209131cea79ac6.md>)

Recorded evaluation configuration: {"Model Scale":"8B","Budget Type":"ample","Rollout count per prompt (n)":"64","Target Accuracy":"47.3%"}. This record does not assert independent reproduction.

### GRPO

Cumulative Rollouts (M): 2.5. Result ID: 6a16ace4fbc373592c0fd96a.

[Reporting paper](<https://www.sota2.com/research/paper/6a167a79dbd7150506f7fed0.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa73101e209131cea5a395.md>)

[Implementation](<https://github.com/deepseek-ai/DeepSeek-Math>)

Recorded evaluation configuration: {"Model Scale":"4B","Budget Type":"ample","Rollout count per prompt (n)":"64","Target Accuracy":"47.3%\*"}. This record does not assert independent reproduction.

### Pilot-Commit

Cumulative Rollouts (M): 2.15. Result ID: 6a16ace4fbc373592c0fd96e.

[Reporting paper](<https://www.sota2.com/research/paper/6a167a79dbd7150506f7fed0.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a167a79dbd7150506f7fed0.md>)

Recorded evaluation configuration: {"Model Scale":"14B","Budget Type":"ample","Rollout count per prompt (n)":"64","Target Accuracy":"57.0%\*"}. This record does not assert independent reproduction.

### DAPO

Cumulative Rollouts (M): 1.69. Result ID: 6a16ace4fbc373592c0fd973.

[Reporting paper](<https://www.sota2.com/research/paper/6a167a79dbd7150506f7fed0.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa78a81e209131cea79ac6.md>)

Recorded evaluation configuration: {"Model Scale":"4B","Budget Type":"limited","Rollout count per prompt (n)":"16","Target Accuracy":"45.0%"}. This record does not assert independent reproduction.

### Pilot-Commit

Cumulative Rollouts (M): 1.66. Result ID: 6a16ace4fbc373592c0fd969.

[Reporting paper](<https://www.sota2.com/research/paper/6a167a79dbd7150506f7fed0.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a167a79dbd7150506f7fed0.md>)

Recorded evaluation configuration: {"Model Scale":"4B","Budget Type":"ample","Rollout count per prompt (n)":"64","Target Accuracy":"47.3%\*"}. This record does not assert independent reproduction.

### GRPO

Cumulative Rollouts (M): 1.56. Result ID: 6a16ace4fbc373592c0fd96c.

[Reporting paper](<https://www.sota2.com/research/paper/6a167a79dbd7150506f7fed0.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa73101e209131cea5a395.md>)

[Implementation](<https://github.com/deepseek-ai/DeepSeek-Math>)

Recorded evaluation configuration: {"Model Scale":"8B","Budget Type":"ample","Rollout count per prompt (n)":"64","Target Accuracy":"47.3%"}. This record does not assert independent reproduction.

### DAPO

Cumulative Rollouts (M): 1.26. Result ID: 6a16ace4fbc373592c0fd976.

[Reporting paper](<https://www.sota2.com/research/paper/6a167a79dbd7150506f7fed0.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa78a81e209131cea79ac6.md>)

Recorded evaluation configuration: {"Model Scale":"8B","Budget Type":"limited","Rollout count per prompt (n)":"16","Target Accuracy":"47.1%"}. This record does not assert independent reproduction.

### Pilot-Commit

Cumulative Rollouts (M): 1.04. Result ID: 6a16ace4fbc373592c0fd96b.

[Reporting paper](<https://www.sota2.com/research/paper/6a167a79dbd7150506f7fed0.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a167a79dbd7150506f7fed0.md>)

Recorded evaluation configuration: {"Model Scale":"8B","Budget Type":"ample","Rollout count per prompt (n)":"64","Target Accuracy":"47.3%"}. This record does not assert independent reproduction.

### GRPO

Cumulative Rollouts (M): 0.73. Result ID: 6a16ace4fbc373592c0fd972.

[Reporting paper](<https://www.sota2.com/research/paper/6a167a79dbd7150506f7fed0.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa73101e209131cea5a395.md>)

[Implementation](<https://github.com/deepseek-ai/DeepSeek-Math>)

Recorded evaluation configuration: {"Model Scale":"4B","Budget Type":"limited","Rollout count per prompt (n)":"16","Target Accuracy":"45.0%"}. This record does not assert independent reproduction.

### GRPO

Cumulative Rollouts (M): 0.63. Result ID: 6a16ace4fbc373592c0fd975.

[Reporting paper](<https://www.sota2.com/research/paper/6a167a79dbd7150506f7fed0.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa73101e209131cea5a395.md>)

[Implementation](<https://github.com/deepseek-ai/DeepSeek-Math>)

Recorded evaluation configuration: {"Model Scale":"8B","Budget Type":"limited","Rollout count per prompt (n)":"16","Target Accuracy":"47.1%"}. This record does not assert independent reproduction.

### GRPO

Cumulative Rollouts (M): 0.52. Result ID: 6a16ace4fbc373592c0fd978.

[Reporting paper](<https://www.sota2.com/research/paper/6a167a79dbd7150506f7fed0.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa73101e209131cea5a395.md>)

[Implementation](<https://github.com/deepseek-ai/DeepSeek-Math>)

Recorded evaluation configuration: {"Model Scale":"14B","Budget Type":"limited","Rollout count per prompt (n)":"16","Target Accuracy":"54.3%"}. This record does not assert independent reproduction.

### Pilot-Commit

Cumulative Rollouts (M): 0.51. Result ID: 6a16ace4fbc373592c0fd971.

[Reporting paper](<https://www.sota2.com/research/paper/6a167a79dbd7150506f7fed0.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a167a79dbd7150506f7fed0.md>)

Recorded evaluation configuration: {"Model Scale":"4B","Budget Type":"limited","Rollout count per prompt (n)":"16","Target Accuracy":"45.0%"}. This record does not assert independent reproduction.

### Pilot-Commit

Cumulative Rollouts (M): 0.51. Result ID: 6a16ace4fbc373592c0fd977.

[Reporting paper](<https://www.sota2.com/research/paper/6a167a79dbd7150506f7fed0.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a167a79dbd7150506f7fed0.md>)

Recorded evaluation configuration: {"Model Scale":"14B","Budget Type":"limited","Rollout count per prompt (n)":"16","Target Accuracy":"54.3%"}. This record does not assert independent reproduction.

### Pilot-Commit

Cumulative Rollouts (M): 0.47. Result ID: 6a16ace4fbc373592c0fd974.

[Reporting paper](<https://www.sota2.com/research/paper/6a167a79dbd7150506f7fed0.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a167a79dbd7150506f7fed0.md>)

Recorded evaluation configuration: {"Model Scale":"8B","Budget Type":"limited","Rollout count per prompt (n)":"16","Target Accuracy":"47.1%"}. This record does not assert independent reproduction.

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