# Mathematical Reasoning on MATH500 (Pass@1 @16, Token Cost, AE Score)

Source: [Mathematical Reasoning on MATH500 (Pass@1 @16, Token Cost, AE Score)](<https://www.sota2.com/research/sota/mathematical-reasoning-on-math500-pass-at-1-at-16-token-cost-ae-score>)

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

Data updated: 2026-02-26T05:57:32.017Z

Evaluation of model performance on the MATH500 dataset for mathematical reasoning, reporting Pass@1 score averaged over 16 samples, average token usage, and AE Score.

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) | MATH500 |
| Metric | Pass@1 (Avg @16) |
| Unit | PERCENT |
| Direction | Higher is better |
| Results loaded | 17 of 17 |
| 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

- [Pass@1 (Avg @16)](<https://www.sota2.com/research/sota/mathematical-reasoning-on-math500-pass-at-1-at-16-token-cost-ae-score.md?metric=Pass%401%20(Avg%20%4016)>): Higher is better; unit: PERCENT.

- [Avg. Token Count](<https://www.sota2.com/research/sota/mathematical-reasoning-on-math500-pass-at-1-at-16-token-cost-ae-score.md?metric=Avg.%20Token%20Count>): Lower is better; unit: SCALAR.

- [AE Score](<https://www.sota2.com/research/sota/mathematical-reasoning-on-math500-pass-at-1-at-16-token-cost-ae-score.md?metric=AE%20Score>): Higher is better; unit: SCALAR.

## Recorded results

| Method | Pass@1 (Avg @16) | Result date | Report paper |
| --- | --- | --- | --- |
| DLER-R1-7B-Research | 91.8 | Not recorded | 6981817ba8b01e76cc8e2572 |
| Laser-DE-L4096-7B | 91.5 | Not recorded | 6981817ba8b01e76cc8e2572 |
| APR-7B (Ours) | 90.3 | Not recorded | 6981817ba8b01e76cc8e2572 |
| L1-Qwen-7B-Max | 90.2 | Not recorded | 6981817ba8b01e76cc8e2572 |
| TrainingEfficient DS-7B | 89.1 | Not recorded | 6981817ba8b01e76cc8e2572 |
| AdaptThink-7B-delta0.05 | 88.2 | Not recorded | 6981817ba8b01e76cc8e2572 |
| DLER-R1-1.5B-Research | 86.9 | Not recorded | 6981817ba8b01e76cc8e2572 |
| Original Model | 86.7 | Not recorded | 6981817ba8b01e76cc8e2572 |
| Original Model | 85.1 | Not recorded | 6981817ba8b01e76cc8e2572 |
| Laser-L8192-1.5B | 84.9 | Not recorded | 6981817ba8b01e76cc8e2572 |
| L1-Qwen-1.5B-Max | 84.8 | Not recorded | 6981817ba8b01e76cc8e2572 |
| APR-1.5B (Ours) | 84.7 | Not recorded | 6981817ba8b01e76cc8e2572 |
| DS-1.5B-thinkprune-iter2k | 83.1 | Not recorded | 6981817ba8b01e76cc8e2572 |
| Laser-DE-L4096-1.5B | 82.8 | Not recorded | 6981817ba8b01e76cc8e2572 |
| SB DS7B alpha 2 | 82.6 | Not recorded | 6981817ba8b01e76cc8e2572 |
| TrainingEfficient DS-1.5B | 81.8 | Not recorded | 6981817ba8b01e76cc8e2572 |
| AdaptThink-1.5B-delta0.05 | 80.8 | Not recorded | 6981817ba8b01e76cc8e2572 |

### DLER-R1-7B-Research

Pass@1 (Avg @16): 91.8. Result ID: 699659a05698665ec49f1b63.

[Reporting paper](<https://www.sota2.com/research/paper/6981817ba8b01e76cc8e2572.md>)

Recorded evaluation configuration: {"Backbone":"DeepSeek-R1-Distill-Qwen-7B","Sampling Temperature":0.6,"Max Response Length":8192,"Rollout samples":16}. This record does not assert independent reproduction.

### Laser-DE-L4096-7B

Pass@1 (Avg @16): 91.5. Result ID: 699659a05698665ec49f1b62.

[Reporting paper](<https://www.sota2.com/research/paper/6981817ba8b01e76cc8e2572.md>)

Recorded evaluation configuration: {"Backbone":"DeepSeek-R1-Distill-Qwen-7B","Sampling Temperature":0.6,"Max Response Length":8192,"Rollout samples":16}. This record does not assert independent reproduction.

### APR-7B (Ours)

Pass@1 (Avg @16): 90.3. Result ID: 699659a05698665ec49f1b64.

[Reporting paper](<https://www.sota2.com/research/paper/6981817ba8b01e76cc8e2572.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6981817ba8b01e76cc8e2572.md>)

Recorded evaluation configuration: {"Backbone":"DeepSeek-R1-Distill-Qwen-7B","Sampling Temperature":0.6,"Max Response Length":8192,"Rollout samples":16}. This record does not assert independent reproduction.

### L1-Qwen-7B-Max

Pass@1 (Avg @16): 90.2. Result ID: 699659a05698665ec49f1b5f.

[Reporting paper](<https://www.sota2.com/research/paper/6981817ba8b01e76cc8e2572.md>)

Recorded evaluation configuration: {"Backbone":"DeepSeek-R1-Distill-Qwen-7B","Sampling Temperature":0.6,"Max Response Length":8192,"Rollout samples":16}. This record does not assert independent reproduction.

### TrainingEfficient DS-7B

Pass@1 (Avg @16): 89.1. Result ID: 699659a05698665ec49f1b60.

[Reporting paper](<https://www.sota2.com/research/paper/6981817ba8b01e76cc8e2572.md>)

Recorded evaluation configuration: {"Backbone":"DeepSeek-R1-Distill-Qwen-7B","Sampling Temperature":0.6,"Max Response Length":8192,"Rollout samples":16}. This record does not assert independent reproduction.

### AdaptThink-7B-delta0.05

Pass@1 (Avg @16): 88.2. Result ID: 699659a05698665ec49f1b5e.

[Reporting paper](<https://www.sota2.com/research/paper/6981817ba8b01e76cc8e2572.md>)

Recorded evaluation configuration: {"Backbone":"DeepSeek-R1-Distill-Qwen-7B","Sampling Temperature":0.6,"Max Response Length":8192,"Rollout samples":16}. This record does not assert independent reproduction.

### DLER-R1-1.5B-Research

Pass@1 (Avg @16): 86.9. Result ID: 699659a05698665ec49f1b5b.

[Reporting paper](<https://www.sota2.com/research/paper/6981817ba8b01e76cc8e2572.md>)

Recorded evaluation configuration: {"Backbone":"DeepSeek-R1-Distill-Qwen-1.5B","Sampling Temperature":0.6,"Max Response Length":8192,"Rollout samples":16}. This record does not assert independent reproduction.

### Original Model

Pass@1 (Avg @16): 86.7. Result ID: 699659a05698665ec49f1b5d.

[Reporting paper](<https://www.sota2.com/research/paper/6981817ba8b01e76cc8e2572.md>)

Recorded evaluation configuration: {"Backbone":"DeepSeek-R1-Distill-Qwen-7B","Sampling Temperature":0.6,"Max Response Length":8192,"Rollout samples":16}. This record does not assert independent reproduction.

### Original Model

Pass@1 (Avg @16): 85.1. Result ID: 699659a05698665ec49f1b54.

[Reporting paper](<https://www.sota2.com/research/paper/6981817ba8b01e76cc8e2572.md>)

Recorded evaluation configuration: {"Backbone":"DeepSeek-R1-Distill-Qwen-1.5B","Sampling Temperature":0.6,"Max Response Length":8192,"Rollout samples":16}. This record does not assert independent reproduction.

### Laser-L8192-1.5B

Pass@1 (Avg @16): 84.9. Result ID: 699659a05698665ec49f1b59.

[Reporting paper](<https://www.sota2.com/research/paper/6981817ba8b01e76cc8e2572.md>)

Recorded evaluation configuration: {"Backbone":"DeepSeek-R1-Distill-Qwen-1.5B","Sampling Temperature":0.6,"Max Response Length":8192,"Rollout samples":16}. This record does not assert independent reproduction.

### L1-Qwen-1.5B-Max

Pass@1 (Avg @16): 84.8. Result ID: 699659a05698665ec49f1b56.

[Reporting paper](<https://www.sota2.com/research/paper/6981817ba8b01e76cc8e2572.md>)

Recorded evaluation configuration: {"Backbone":"DeepSeek-R1-Distill-Qwen-1.5B","Sampling Temperature":0.6,"Max Response Length":8192,"Rollout samples":16}. This record does not assert independent reproduction.

### APR-1.5B (Ours)

Pass@1 (Avg @16): 84.7. Result ID: 699659a05698665ec49f1b5c.

[Reporting paper](<https://www.sota2.com/research/paper/6981817ba8b01e76cc8e2572.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6981817ba8b01e76cc8e2572.md>)

Recorded evaluation configuration: {"Backbone":"DeepSeek-R1-Distill-Qwen-1.5B","Sampling Temperature":0.6,"Max Response Length":8192,"Rollout samples":16}. This record does not assert independent reproduction.

### DS-1.5B-thinkprune-iter2k

Pass@1 (Avg @16): 83.1. Result ID: 699659a05698665ec49f1b58.

[Reporting paper](<https://www.sota2.com/research/paper/6981817ba8b01e76cc8e2572.md>)

Recorded evaluation configuration: {"Backbone":"DeepSeek-R1-Distill-Qwen-1.5B","Sampling Temperature":0.6,"Max Response Length":8192,"Rollout samples":16}. This record does not assert independent reproduction.

### Laser-DE-L4096-1.5B

Pass@1 (Avg @16): 82.8. Result ID: 699659a05698665ec49f1b5a.

[Reporting paper](<https://www.sota2.com/research/paper/6981817ba8b01e76cc8e2572.md>)

Recorded evaluation configuration: {"Backbone":"DeepSeek-R1-Distill-Qwen-1.5B","Sampling Temperature":0.6,"Max Response Length":8192,"Rollout samples":16}. This record does not assert independent reproduction.

### SB DS7B alpha 2

Pass@1 (Avg @16): 82.6. Result ID: 699659a05698665ec49f1b61.

[Reporting paper](<https://www.sota2.com/research/paper/6981817ba8b01e76cc8e2572.md>)

Recorded evaluation configuration: {"Backbone":"DeepSeek-R1-Distill-Qwen-7B","Sampling Temperature":0.6,"Max Response Length":8192,"Rollout samples":16}. This record does not assert independent reproduction.

### TrainingEfficient DS-1.5B

Pass@1 (Avg @16): 81.8. Result ID: 699659a05698665ec49f1b57.

[Reporting paper](<https://www.sota2.com/research/paper/6981817ba8b01e76cc8e2572.md>)

Recorded evaluation configuration: {"Backbone":"DeepSeek-R1-Distill-Qwen-1.5B","Sampling Temperature":0.6,"Max Response Length":8192,"Rollout samples":16}. This record does not assert independent reproduction.

### AdaptThink-1.5B-delta0.05

Pass@1 (Avg @16): 80.8. Result ID: 699659a05698665ec49f1b55.

[Reporting paper](<https://www.sota2.com/research/paper/6981817ba8b01e76cc8e2572.md>)

Recorded evaluation configuration: {"Backbone":"DeepSeek-R1-Distill-Qwen-1.5B","Sampling Temperature":0.6,"Max Response Length":8192,"Rollout samples":16}. This record does not assert independent reproduction.

Page 1 of 1. This is an index page, not the full collection.
