# Mathematical Reasoning on GSM Hard (Accuracy)

Source: [Mathematical Reasoning on GSM Hard (Accuracy)](<https://www.sota2.com/research/sota/mathematical-reasoning-on-gsm-hard-accuracy>)

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

Data updated: 2026-05-18T07:38:08.757Z

Evaluation of model performance on challenging mathematical reasoning problems from the GSM Hard dataset, reporting only the Accuracy 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) | GSM Hard |
| Metric | Accuracy |
| Unit | PERCENT |
| Direction | Higher is better |
| Results loaded | 31 of 31 |
| 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-gsm-hard-accuracy.md?metric=Accuracy>): Higher is better; unit: PERCENT.

## Recorded results

| Method | Accuracy | Result date | Report paper |
| --- | --- | --- | --- |
| RM-Regen | 68.6 | Not recorded | 69c21a8e0636e5bf4afc4895 |
| RM-Regen | 64 | Not recorded | 69c21a8e0636e5bf4afc4895 |
| RM-Regen | 53 | Not recorded | 69c21a8e0636e5bf4afc4895 |
| Reflexion(3 iters) | 50.8 | Not recorded | 69c21a8e0636e5bf4afc4895 |
| RM-Regen | 49.4 | Not recorded | 69c21a8e0636e5bf4afc4895 |
| ProCo | 48.6 | Not recorded | 69c21a8e0636e5bf4afc4895 |
| Best-of-N (N=3) | 48.4 | Not recorded | 69c21a8e0636e5bf4afc4895 |
| Best-of-N (N=3) | 46.8 | Not recorded | 69c21a8e0636e5bf4afc4895 |
| ST CoT | 46.2 | Not recorded | 69c21a8e0636e5bf4afc4895 |
| Reflexion(3 iters) | 45.2 | Not recorded | 69c21a8e0636e5bf4afc4895 |
| ReflectEvo | 44.4 | Not recorded | 69c21a8e0636e5bf4afc4895 |
| RM-Regen | 41 | Not recorded | 69c21a8e0636e5bf4afc4895 |
| ST CoT | 39.8 | Not recorded | 69c21a8e0636e5bf4afc4895 |
| ProCo | 39.6 | Not recorded | 69c21a8e0636e5bf4afc4895 |
| NEXA | 37.13 | Not recorded | 6a0a9d1edbc836b87d82b47f |
| Reflexion(3 iters) | 36.2 | Not recorded | 69c21a8e0636e5bf4afc4895 |
| CoT | 36.07 | Not recorded | 6a0a9d1edbc836b87d82b47f |
| RM-Regen | 34.8 | Not recorded | 69c21a8e0636e5bf4afc4895 |
| Single | 34.4 | Not recorded | 6a0a9d1edbc836b87d82b47f |
| Best-of-N (N=3) | 34.2 | Not recorded | 69c21a8e0636e5bf4afc4895 |
| Self-Refine | 32.8 | Not recorded | 69c21a8e0636e5bf4afc4895 |
| Self-Refine | 32.8 | Not recorded | 69c21a8e0636e5bf4afc4895 |
| ReflectEvo | 32 | Not recorded | 69c21a8e0636e5bf4afc4895 |
| ST CoT | 31.8 | Not recorded | 69c21a8e0636e5bf4afc4895 |
| ProCo | 31.2 | Not recorded | 69c21a8e0636e5bf4afc4895 |
| ALIGN | 24.6 | Not recorded | 69818127a8b01e76cc8e22f9 |
| SC | 24.1 | Not recorded | 69818127a8b01e76cc8e22f9 |
| Self-Refine | 23 | Not recorded | 69c21a8e0636e5bf4afc4895 |
| rStar | 22.8 | Not recorded | 69818127a8b01e76cc8e22f9 |
| FS-CoT | 17.7 | Not recorded | 69818127a8b01e76cc8e22f9 |
| Principal | 15.6 | Not recorded | 69818127a8b01e76cc8e22f9 |

### RM-Regen

Accuracy: 68.6. Result ID: 69c2adfa47f34ce924abc1a0.

[Reporting paper](<https://www.sota2.com/research/paper/69c21a8e0636e5bf4afc4895.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69c21a8e0636e5bf4afc4895.md>)

Recorded evaluation configuration: {"Model":"GPT-3.5","Verification Setting":"Oracle"}. This record does not assert independent reproduction.

### RM-Regen

Accuracy: 64. Result ID: 69c2adfa47f34ce924abc20f.

[Reporting paper](<https://www.sota2.com/research/paper/69c21a8e0636e5bf4afc4895.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69c21a8e0636e5bf4afc4895.md>)

Recorded evaluation configuration: {"Model":"GPT-3.5"}. This record does not assert independent reproduction.

### RM-Regen

Accuracy: 53. Result ID: 69c2adfa47f34ce924abc1a8.

[Reporting paper](<https://www.sota2.com/research/paper/69c21a8e0636e5bf4afc4895.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69c21a8e0636e5bf4afc4895.md>)

Recorded evaluation configuration: {"Model":"Gemma2-9B","Verification Setting":"Oracle"}. This record does not assert independent reproduction.

### Reflexion(3 iters)

Accuracy: 50.8. Result ID: 69c2adfa47f34ce924abc1a5.

[Reporting paper](<https://www.sota2.com/research/paper/69c21a8e0636e5bf4afc4895.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa70cc1e209131cea4d38e.md>)

[Implementation](<https://github.com/noahshinn024/reflexion>)

Recorded evaluation configuration: {"Model":"Gemma2-9B","Verification Setting":"Oracle"}. This record does not assert independent reproduction.

### RM-Regen

Accuracy: 49.4. Result ID: 69c2adfa47f34ce924abc217.

[Reporting paper](<https://www.sota2.com/research/paper/69c21a8e0636e5bf4afc4895.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69c21a8e0636e5bf4afc4895.md>)

Recorded evaluation configuration: {"Model":"Gemma2-9B"}. This record does not assert independent reproduction.

### ProCo

Accuracy: 48.6. Result ID: 69c2adfa47f34ce924abc215.

[Reporting paper](<https://www.sota2.com/research/paper/69c21a8e0636e5bf4afc4895.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa75031e209131cea653ba.md>)

Recorded evaluation configuration: {"Model":"Gemma2-9B","iterations":"3"}. This record does not assert independent reproduction.

### Best-of-N (N=3)

Accuracy: 48.4. Result ID: 69c2adfa47f34ce924abc1a7.

[Reporting paper](<https://www.sota2.com/research/paper/69c21a8e0636e5bf4afc4895.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa746e1e209131cea61aff.md>)

Recorded evaluation configuration: {"Model":"Gemma2-9B","Verification Setting":"Oracle"}. This record does not assert independent reproduction.

### Best-of-N (N=3)

Accuracy: 46.8. Result ID: 69c2adfa47f34ce924abc19f.

[Reporting paper](<https://www.sota2.com/research/paper/69c21a8e0636e5bf4afc4895.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa746e1e209131cea61aff.md>)

Recorded evaluation configuration: {"Model":"GPT-3.5","Verification Setting":"Oracle"}. This record does not assert independent reproduction.

### ST CoT

Accuracy: 46.2. Result ID: 69c2adfa47f34ce924abc216.

[Reporting paper](<https://www.sota2.com/research/paper/69c21a8e0636e5bf4afc4895.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa78c41e209131cea7a63d.md>)

Recorded evaluation configuration: {"Model":"Gemma2-9B","iterations":"3"}. This record does not assert independent reproduction.

### Reflexion(3 iters)

Accuracy: 45.2. Result ID: 69c2adfa47f34ce924abc19e.

[Reporting paper](<https://www.sota2.com/research/paper/69c21a8e0636e5bf4afc4895.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa70cc1e209131cea4d38e.md>)

[Implementation](<https://github.com/noahshinn024/reflexion>)

Recorded evaluation configuration: {"Model":"GPT-3.5","Verification Setting":"Oracle"}. This record does not assert independent reproduction.

### ReflectEvo

Accuracy: 44.4. Result ID: 69c2adfa47f34ce924abc1a6.

[Reporting paper](<https://www.sota2.com/research/paper/69c21a8e0636e5bf4afc4895.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa78be1e209131cea7a38e.md>)

Recorded evaluation configuration: {"Model":"Gemma2-9B","Verification Setting":"Oracle"}. This record does not assert independent reproduction.

### RM-Regen

Accuracy: 41. Result ID: 69c2adfa47f34ce924abc1a4.

[Reporting paper](<https://www.sota2.com/research/paper/69c21a8e0636e5bf4afc4895.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69c21a8e0636e5bf4afc4895.md>)

Recorded evaluation configuration: {"Model":"Llama3.1-8B","Verification Setting":"Oracle"}. This record does not assert independent reproduction.

### ST CoT

Accuracy: 39.8. Result ID: 69c2adfa47f34ce924abc20e.

[Reporting paper](<https://www.sota2.com/research/paper/69c21a8e0636e5bf4afc4895.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa78c41e209131cea7a63d.md>)

Recorded evaluation configuration: {"Model":"GPT-3.5","iterations":"3"}. This record does not assert independent reproduction.

### ProCo

Accuracy: 39.6. Result ID: 69c2adfa47f34ce924abc20d.

[Reporting paper](<https://www.sota2.com/research/paper/69c21a8e0636e5bf4afc4895.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa75031e209131cea653ba.md>)

Recorded evaluation configuration: {"Model":"GPT-3.5","iterations":"3"}. This record does not assert independent reproduction.

### NEXA

Accuracy: 37.13. Result ID: 6a0ac1c547f34ce924f08b6f.

[Reporting paper](<https://www.sota2.com/research/paper/6a0a9d1edbc836b87d82b47f.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a0a9d1edbc836b87d82b47f.md>)

Recorded evaluation configuration: {"Trained on":"GSM8K","Evaluation Protocol":"Without retraining"}. This record does not assert independent reproduction.

### Reflexion(3 iters)

Accuracy: 36.2. Result ID: 69c2adfa47f34ce924abc1a1.

[Reporting paper](<https://www.sota2.com/research/paper/69c21a8e0636e5bf4afc4895.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa70cc1e209131cea4d38e.md>)

[Implementation](<https://github.com/noahshinn024/reflexion>)

Recorded evaluation configuration: {"Model":"Llama3.1-8B","Verification Setting":"Oracle"}. This record does not assert independent reproduction.

### CoT

Accuracy: 36.07. Result ID: 6a0ac1c547f34ce924f08b6e.

[Reporting paper](<https://www.sota2.com/research/paper/6a0a9d1edbc836b87d82b47f.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6e571e209131cea3f27b.md>)

Recorded evaluation configuration: {"Trained on":"GSM8K","Evaluation Protocol":"Without retraining"}. This record does not assert independent reproduction.

### RM-Regen

Accuracy: 34.8. Result ID: 69c2adfa47f34ce924abc213.

[Reporting paper](<https://www.sota2.com/research/paper/69c21a8e0636e5bf4afc4895.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69c21a8e0636e5bf4afc4895.md>)

Recorded evaluation configuration: {"Model":"Llama3.1-8B"}. This record does not assert independent reproduction.

### Single

Accuracy: 34.4. Result ID: 6a0ac1c547f34ce924f08b6d.

[Reporting paper](<https://www.sota2.com/research/paper/6a0a9d1edbc836b87d82b47f.md>)

Recorded evaluation configuration: {"Trained on":"GSM8K","Evaluation Protocol":"Without retraining"}. This record does not assert independent reproduction.

### Best-of-N (N=3)

Accuracy: 34.2. Result ID: 69c2adfa47f34ce924abc1a3.

[Reporting paper](<https://www.sota2.com/research/paper/69c21a8e0636e5bf4afc4895.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa746e1e209131cea61aff.md>)

Recorded evaluation configuration: {"Model":"Llama3.1-8B","Verification Setting":"Oracle"}. This record does not assert independent reproduction.

### Self-Refine

Accuracy: 32.8. Result ID: 69c2adfa47f34ce924abc20c.

[Reporting paper](<https://www.sota2.com/research/paper/69c21a8e0636e5bf4afc4895.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6f7f1e209131cea45fc4.md>)

Recorded evaluation configuration: {"Model":"GPT-3.5","iterations":"3"}. This record does not assert independent reproduction.

### Self-Refine

Accuracy: 32.8. Result ID: 69c2adfa47f34ce924abc214.

[Reporting paper](<https://www.sota2.com/research/paper/69c21a8e0636e5bf4afc4895.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6f7f1e209131cea45fc4.md>)

Recorded evaluation configuration: {"Model":"Gemma2-9B","iterations":"3"}. This record does not assert independent reproduction.

### ReflectEvo

Accuracy: 32. Result ID: 69c2adfa47f34ce924abc1a2.

[Reporting paper](<https://www.sota2.com/research/paper/69c21a8e0636e5bf4afc4895.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa78be1e209131cea7a38e.md>)

Recorded evaluation configuration: {"Model":"Llama3.1-8B","Verification Setting":"Oracle"}. This record does not assert independent reproduction.

### ST CoT

Accuracy: 31.8. Result ID: 69c2adfa47f34ce924abc212.

[Reporting paper](<https://www.sota2.com/research/paper/69c21a8e0636e5bf4afc4895.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa78c41e209131cea7a63d.md>)

Recorded evaluation configuration: {"Model":"Llama3.1-8B","iterations":"3"}. This record does not assert independent reproduction.

### ProCo

Accuracy: 31.2. Result ID: 69c2adfa47f34ce924abc211.

[Reporting paper](<https://www.sota2.com/research/paper/69c21a8e0636e5bf4afc4895.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa75031e209131cea653ba.md>)

Recorded evaluation configuration: {"Model":"Llama3.1-8B","iterations":"3"}. This record does not assert independent reproduction.

### ALIGN

Accuracy: 24.6. Result ID: 699909b75698665ec46f37fc.

[Reporting paper](<https://www.sota2.com/research/paper/69818127a8b01e76cc8e22f9.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69818127a8b01e76cc8e22f9.md>)

Recorded evaluation configuration: {"Reasoning Strategy":"ALIGN"}. This record does not assert independent reproduction.

### SC

Accuracy: 24.1. Result ID: 699909b75698665ec46f37f9.

[Reporting paper](<https://www.sota2.com/research/paper/69818127a8b01e76cc8e22f9.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6eb61e209131cea41b33.md>)

Recorded evaluation configuration: {"Reasoning Strategy":"CoT-SC@maj16"}. This record does not assert independent reproduction.

### Self-Refine

Accuracy: 23. Result ID: 69c2adfa47f34ce924abc210.

[Reporting paper](<https://www.sota2.com/research/paper/69c21a8e0636e5bf4afc4895.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6f7f1e209131cea45fc4.md>)

Recorded evaluation configuration: {"Model":"Llama3.1-8B","iterations":"3"}. This record does not assert independent reproduction.

### rStar

Accuracy: 22.8. Result ID: 699909b75698665ec46f37fb.

[Reporting paper](<https://www.sota2.com/research/paper/69818127a8b01e76cc8e22f9.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa768e1e209131cea6db2e.md>)

Recorded evaluation configuration: {"Reasoning Strategy":"rStar"}. This record does not assert independent reproduction.

### FS-CoT

Accuracy: 17.7. Result ID: 699909b75698665ec46f37f8.

[Reporting paper](<https://www.sota2.com/research/paper/69818127a8b01e76cc8e22f9.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6e571e209131cea3f27b.md>)

Recorded evaluation configuration: {"Reasoning Strategy":"Few-shot CoT"}. This record does not assert independent reproduction.

### Principal

Accuracy: 15.6. Result ID: 699909b75698665ec46f37fa.

[Reporting paper](<https://www.sota2.com/research/paper/69818127a8b01e76cc8e22f9.md>)

Recorded evaluation configuration: {"Reasoning Strategy":"Principal"}. This record does not assert independent reproduction.

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