# Mathematical Reasoning on AMC 2023 (Accuracy and Average Tokens)

Source: [Mathematical Reasoning on AMC 2023 (Accuracy and Average Tokens)](<https://www.sota2.com/research/sota/mathematical-reasoning-on-amc-2023-accuracy-and-average-tokens>)

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

Data updated: 2026-04-21T09:10:17.643Z

Evaluation of model performance on the AMC 2023 dataset for Mathematical Reasoning, focusing on accuracy and average token usage.

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) | AMC 2023 |
| Metric | Accuracy |
| Unit | PERCENT |
| Direction | Higher is better |
| Results loaded | 35 of 35 |
| 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

- [Accuracy](<https://www.sota2.com/research/sota/mathematical-reasoning-on-amc-2023-accuracy-and-average-tokens.md?metric=Accuracy>): Higher is better; unit: PERCENT.

- [Average Tokens](<https://www.sota2.com/research/sota/mathematical-reasoning-on-amc-2023-accuracy-and-average-tokens.md?metric=Average%20Tokens>): Lower is better; unit: SCALAR.

## Recorded results

| Method | Accuracy | Result date | Report paper |
| --- | --- | --- | --- |
| BCR-Qwen3-4B (Ours) | 100 | Not recorded | 69cf49c80636e5bf4afcdca2 |
| Qwen3-4B-Thinking-2507 | 97.5 | Not recorded | 69cf49c80636e5bf4afcdca2 |
| Vanilla | 97.5 | Not recorded | 69e704ba7d0172140ec7ee53 |
| GRPO | 97.5 | Not recorded | 69e704ba7d0172140ec7ee53 |
| GRPO+SOP | 97.5 | Not recorded | 69e704ba7d0172140ec7ee53 |
| Vanilla | 97.5 | Not recorded | 69e704ba7d0172140ec7ee53 |
| GRPO | 97.5 | Not recorded | 69e704ba7d0172140ec7ee53 |
| GRPO-λ | 97.5 | Not recorded | 69e704ba7d0172140ec7ee53 |
| Step-GRPO | 95 | Not recorded | 69e704ba7d0172140ec7ee53 |
| GRPO-8k | 95 | Not recorded | 69e704ba7d0172140ec7ee53 |
| GRPO+LP | 95 | Not recorded | 69e704ba7d0172140ec7ee53 |
| GRPO+SOP | 95 | Not recorded | 69e704ba7d0172140ec7ee53 |
| Step-GRPO | 95 | Not recorded | 69e704ba7d0172140ec7ee53 |
| GRPO+LP | 92.5 | Not recorded | 69e704ba7d0172140ec7ee53 |
| DEER+SFT | 90 | Not recorded | 69e704ba7d0172140ec7ee53 |
| GRPO-λ | 90 | Not recorded | 69e704ba7d0172140ec7ee53 |
| BCR-JustRL-1.5B (Ours) | 87.5 | Not recorded | 69cf49c80636e5bf4afcdca2 |
| GRPO-8k | 87.5 | Not recorded | 69e704ba7d0172140ec7ee53 |
| Qwen3-1.7B | 85 | Not recorded | 69cf49c80636e5bf4afcdca2 |
| e3-1.7B | 85 | Not recorded | 69cf49c80636e5bf4afcdca2 |
| JustRL-deepseek-1.5B | 85 | Not recorded | 69cf49c80636e5bf4afcdca2 |
| DEER+SFT | 85 | Not recorded | 69e704ba7d0172140ec7ee53 |
| GRPO | 85 | Not recorded | 69e704ba7d0172140ec7ee53 |
| GRPO+SOP | 82.5 | Not recorded | 69e704ba7d0172140ec7ee53 |
| Step-GRPO | 82.5 | Not recorded | 69e704ba7d0172140ec7ee53 |
| BroRL-1.5B | 81 | Not recorded | 69cf49c80636e5bf4afcdca2 |
| Vanilla | 80 | Not recorded | 69e704ba7d0172140ec7ee53 |
| GRPO-8k | 80 | Not recorded | 69e704ba7d0172140ec7ee53 |
| GRPO-λ | 75 | Not recorded | 69e704ba7d0172140ec7ee53 |
| STILL-3-1.5B | 72.5 | Not recorded | 69cf49c80636e5bf4afcdca2 |
| GRPO+LP | 72.5 | Not recorded | 69e704ba7d0172140ec7ee53 |
| DeepSeek-R1-Distill-Qwen-1.5B | 67.5 | Not recorded | 69cf49c80636e5bf4afcdca2 |
| DEER+SFT | 67.5 | Not recorded | 69e704ba7d0172140ec7ee53 |
| ARM-3B | 42.5 | Not recorded | 69cf49c80636e5bf4afcdca2 |
| Thinker-Q1.5B | 32.5 | Not recorded | 69cf49c80636e5bf4afcdca2 |

### BCR-Qwen3-4B (Ours)

Accuracy: 100. Result ID: 69cf889447f34ce924b9b8ad.

[Reporting paper](<https://www.sota2.com/research/paper/69cf49c80636e5bf4afcdca2.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69cf49c80636e5bf4afcdca2.md>)

Recorded evaluation configuration: {"Inference mode":"N=1"}. This record does not assert independent reproduction.

### Qwen3-4B-Thinking-2507

Accuracy: 97.5. Result ID: 69cf889447f34ce924b9b8ac.

[Reporting paper](<https://www.sota2.com/research/paper/69cf49c80636e5bf4afcdca2.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa788e1e209131cea79116.md>)

Recorded evaluation configuration: {"Inference mode":"N=1"}. This record does not assert independent reproduction.

### Vanilla

Accuracy: 97.5. Result ID: 69e73eef47f34ce924cdb473.

[Reporting paper](<https://www.sota2.com/research/paper/69e704ba7d0172140ec7ee53.md>)

Recorded evaluation configuration: {"Backbone":"Qwen3-8B"}. This record does not assert independent reproduction.

### GRPO

Accuracy: 97.5. Result ID: 69e73eef47f34ce924cdb475.

[Reporting paper](<https://www.sota2.com/research/paper/69e704ba7d0172140ec7ee53.md>)

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

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

Recorded evaluation configuration: {"Backbone":"Qwen3-8B"}. This record does not assert independent reproduction.

### GRPO+SOP

Accuracy: 97.5. Result ID: 69e73eef47f34ce924cdb478.

[Reporting paper](<https://www.sota2.com/research/paper/69e704ba7d0172140ec7ee53.md>)

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

Recorded evaluation configuration: {"Backbone":"Qwen3-8B"}. This record does not assert independent reproduction.

### Vanilla

Accuracy: 97.5. Result ID: 69e73eef47f34ce924cdb47b.

[Reporting paper](<https://www.sota2.com/research/paper/69e704ba7d0172140ec7ee53.md>)

Recorded evaluation configuration: {"Backbone":"Qwen3-4B"}. This record does not assert independent reproduction.

### GRPO

Accuracy: 97.5. Result ID: 69e73eef47f34ce924cdb47d.

[Reporting paper](<https://www.sota2.com/research/paper/69e704ba7d0172140ec7ee53.md>)

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

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

Recorded evaluation configuration: {"Backbone":"Qwen3-4B"}. This record does not assert independent reproduction.

### GRPO-λ

Accuracy: 97.5. Result ID: 69e73eef47f34ce924cdb481.

[Reporting paper](<https://www.sota2.com/research/paper/69e704ba7d0172140ec7ee53.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa78b91e209131cea7a0a8.md>)

Recorded evaluation configuration: {"Backbone":"Qwen3-4B"}. This record does not assert independent reproduction.

### Step-GRPO

Accuracy: 95. Result ID: 69e73eef47f34ce924cdb47a.

[Reporting paper](<https://www.sota2.com/research/paper/69e704ba7d0172140ec7ee53.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69e704ba7d0172140ec7ee53.md>)

Recorded evaluation configuration: {"Backbone":"Qwen3-8B"}. This record does not assert independent reproduction.

### GRPO-8k

Accuracy: 95. Result ID: 69e73eef47f34ce924cdb47e.

[Reporting paper](<https://www.sota2.com/research/paper/69e704ba7d0172140ec7ee53.md>)

Recorded evaluation configuration: {"Backbone":"Qwen3-4B"}. This record does not assert independent reproduction.

### GRPO+LP

Accuracy: 95. Result ID: 69e73eef47f34ce924cdb47f.

[Reporting paper](<https://www.sota2.com/research/paper/69e704ba7d0172140ec7ee53.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa79111e209131cea7bf1a.md>)

Recorded evaluation configuration: {"Backbone":"Qwen3-4B"}. This record does not assert independent reproduction.

### GRPO+SOP

Accuracy: 95. Result ID: 69e73eef47f34ce924cdb480.

[Reporting paper](<https://www.sota2.com/research/paper/69e704ba7d0172140ec7ee53.md>)

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

Recorded evaluation configuration: {"Backbone":"Qwen3-4B"}. This record does not assert independent reproduction.

### Step-GRPO

Accuracy: 95. Result ID: 69e73eef47f34ce924cdb482.

[Reporting paper](<https://www.sota2.com/research/paper/69e704ba7d0172140ec7ee53.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69e704ba7d0172140ec7ee53.md>)

Recorded evaluation configuration: {"Backbone":"Qwen3-4B"}. This record does not assert independent reproduction.

### GRPO+LP

Accuracy: 92.5. Result ID: 69e73eef47f34ce924cdb477.

[Reporting paper](<https://www.sota2.com/research/paper/69e704ba7d0172140ec7ee53.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa79111e209131cea7bf1a.md>)

Recorded evaluation configuration: {"Backbone":"Qwen3-8B"}. This record does not assert independent reproduction.

### DEER+SFT

Accuracy: 90. Result ID: 69e73eef47f34ce924cdb474.

[Reporting paper](<https://www.sota2.com/research/paper/69e704ba7d0172140ec7ee53.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa7ba11e209131cea89778.md>)

Recorded evaluation configuration: {"Backbone":"Qwen3-8B"}. This record does not assert independent reproduction.

### GRPO-λ

Accuracy: 90. Result ID: 69e73eef47f34ce924cdb479.

[Reporting paper](<https://www.sota2.com/research/paper/69e704ba7d0172140ec7ee53.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa78b91e209131cea7a0a8.md>)

Recorded evaluation configuration: {"Backbone":"Qwen3-8B"}. This record does not assert independent reproduction.

### BCR-JustRL-1.5B (Ours)

Accuracy: 87.5. Result ID: 69cf889447f34ce924b9b8ab.

[Reporting paper](<https://www.sota2.com/research/paper/69cf49c80636e5bf4afcdca2.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69cf49c80636e5bf4afcdca2.md>)

Recorded evaluation configuration: {"Inference mode":"N=1"}. This record does not assert independent reproduction.

### GRPO-8k

Accuracy: 87.5. Result ID: 69e73eef47f34ce924cdb476.

[Reporting paper](<https://www.sota2.com/research/paper/69e704ba7d0172140ec7ee53.md>)

Recorded evaluation configuration: {"Backbone":"Qwen3-8B"}. This record does not assert independent reproduction.

### Qwen3-1.7B

Accuracy: 85. Result ID: 69cf889447f34ce924b9b8a3.

[Reporting paper](<https://www.sota2.com/research/paper/69cf49c80636e5bf4afcdca2.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa788e1e209131cea79116.md>)

Recorded evaluation configuration: {"Inference mode":"N=1"}. This record does not assert independent reproduction.

### e3-1.7B

Accuracy: 85. Result ID: 69cf889447f34ce924b9b8a6.

[Reporting paper](<https://www.sota2.com/research/paper/69cf49c80636e5bf4afcdca2.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa795a1e209131cea7d397.md>)

Recorded evaluation configuration: {"Inference mode":"N=1","Length Control":"true"}. This record does not assert independent reproduction.

### JustRL-deepseek-1.5B

Accuracy: 85. Result ID: 69cf889447f34ce924b9b8aa.

[Reporting paper](<https://www.sota2.com/research/paper/69cf49c80636e5bf4afcdca2.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6944dc1f423ea42265729c0f.md>)

[Implementation](<https://github.com/thunlp/JustRL>)

Recorded evaluation configuration: {"Inference mode":"N=1"}. This record does not assert independent reproduction.

### DEER+SFT

Accuracy: 85. Result ID: 69e73eef47f34ce924cdb47c.

[Reporting paper](<https://www.sota2.com/research/paper/69e704ba7d0172140ec7ee53.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa7ba11e209131cea89778.md>)

Recorded evaluation configuration: {"Backbone":"Qwen3-4B"}. This record does not assert independent reproduction.

### GRPO

Accuracy: 85. Result ID: 69e73eef47f34ce924cdb485.

[Reporting paper](<https://www.sota2.com/research/paper/69e704ba7d0172140ec7ee53.md>)

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

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

Recorded evaluation configuration: {"Backbone":"Qwen3-1.7B"}. This record does not assert independent reproduction.

### GRPO+SOP

Accuracy: 82.5. Result ID: 69e73eef47f34ce924cdb488.

[Reporting paper](<https://www.sota2.com/research/paper/69e704ba7d0172140ec7ee53.md>)

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

Recorded evaluation configuration: {"Backbone":"Qwen3-1.7B"}. This record does not assert independent reproduction.

### Step-GRPO

Accuracy: 82.5. Result ID: 69e73eef47f34ce924cdb48a.

[Reporting paper](<https://www.sota2.com/research/paper/69e704ba7d0172140ec7ee53.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69e704ba7d0172140ec7ee53.md>)

Recorded evaluation configuration: {"Backbone":"Qwen3-1.7B"}. This record does not assert independent reproduction.

### BroRL-1.5B

Accuracy: 81. Result ID: 69cf889447f34ce924b9b8a5.

[Reporting paper](<https://www.sota2.com/research/paper/69cf49c80636e5bf4afcdca2.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa7bc61e209131cea8a5a2.md>)

Recorded evaluation configuration: {"Inference mode":"N=1","Length Control":"true"}. This record does not assert independent reproduction.

### Vanilla

Accuracy: 80. Result ID: 69e73eef47f34ce924cdb483.

[Reporting paper](<https://www.sota2.com/research/paper/69e704ba7d0172140ec7ee53.md>)

Recorded evaluation configuration: {"Backbone":"Qwen3-1.7B"}. This record does not assert independent reproduction.

### GRPO-8k

Accuracy: 80. Result ID: 69e73eef47f34ce924cdb486.

[Reporting paper](<https://www.sota2.com/research/paper/69e704ba7d0172140ec7ee53.md>)

Recorded evaluation configuration: {"Backbone":"Qwen3-1.7B"}. This record does not assert independent reproduction.

### GRPO-λ

Accuracy: 75. Result ID: 69e73eef47f34ce924cdb489.

[Reporting paper](<https://www.sota2.com/research/paper/69e704ba7d0172140ec7ee53.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa78b91e209131cea7a0a8.md>)

Recorded evaluation configuration: {"Backbone":"Qwen3-1.7B"}. This record does not assert independent reproduction.

### STILL-3-1.5B

Accuracy: 72.5. Result ID: 69cf889447f34ce924b9b8a4.

[Reporting paper](<https://www.sota2.com/research/paper/69cf49c80636e5bf4afcdca2.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa5d6d1e209131ce9da1c6.md>)

Recorded evaluation configuration: {"Inference mode":"N=1"}. This record does not assert independent reproduction.

### GRPO+LP

Accuracy: 72.5. Result ID: 69e73eef47f34ce924cdb487.

[Reporting paper](<https://www.sota2.com/research/paper/69e704ba7d0172140ec7ee53.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa79111e209131cea7bf1a.md>)

Recorded evaluation configuration: {"Backbone":"Qwen3-1.7B"}. This record does not assert independent reproduction.

### DeepSeek-R1-Distill-Qwen-1.5B

Accuracy: 67.5. Result ID: 69cf889447f34ce924b9b8a9.

[Reporting paper](<https://www.sota2.com/research/paper/69cf49c80636e5bf4afcdca2.md>)

Recorded evaluation configuration: {"Inference mode":"N=1"}. This record does not assert independent reproduction.

### DEER+SFT

Accuracy: 67.5. Result ID: 69e73eef47f34ce924cdb484.

[Reporting paper](<https://www.sota2.com/research/paper/69e704ba7d0172140ec7ee53.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa7ba11e209131cea89778.md>)

Recorded evaluation configuration: {"Backbone":"Qwen3-1.7B"}. This record does not assert independent reproduction.

### ARM-3B

Accuracy: 42.5. Result ID: 69cf889447f34ce924b9b8a7.

[Reporting paper](<https://www.sota2.com/research/paper/69cf49c80636e5bf4afcdca2.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa7c0e1e209131cea8c293.md>)

Recorded evaluation configuration: {"Inference mode":"N=1","Adaptive Reasoning":"true"}. This record does not assert independent reproduction.

### Thinker-Q1.5B

Accuracy: 32.5. Result ID: 69cf889447f34ce924b9b8a8.

[Reporting paper](<https://www.sota2.com/research/paper/69cf49c80636e5bf4afcdca2.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa7c301e209131cea8cecb.md>)

Recorded evaluation configuration: {"Inference mode":"N=1","Adaptive Reasoning":"true"}. This record does not assert independent reproduction.

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