# Mathematical Reasoning on AMC 2023 (Token Usage and Cost)

Source: [Mathematical Reasoning on AMC 2023 (Token Usage and Cost)](<https://www.sota2.com/research/sota/mathematical-reasoning-on-amc-2023-token-usage-and-cost>)

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

Data updated: 2026-04-02T08:32:59.628Z

Evaluation of model efficiency on the AMC 2023 mathematical reasoning dataset, focusing on input token count, output token count, and associated inference cost.

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 | Input Tokens |
| Unit | SCALAR |
| Direction | Higher is better |
| Results loaded | 29 of 29 |
| 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

- [Input Tokens](<https://www.sota2.com/research/sota/mathematical-reasoning-on-amc-2023-token-usage-and-cost.md?metric=Input%20Tokens>): Higher is better; unit: SCALAR.

- [Output Tokens](<https://www.sota2.com/research/sota/mathematical-reasoning-on-amc-2023-token-usage-and-cost.md?metric=Output%20Tokens>): Higher is better; unit: SCALAR.

- [Cost ($)](<https://www.sota2.com/research/sota/mathematical-reasoning-on-amc-2023-token-usage-and-cost.md?metric=Cost%20(%24)>): Lower is better; unit: SCALAR.

## Recorded results

| Method | Input Tokens | Result date | Report paper |
| --- | --- | --- | --- |
| BoT | 26854.97 | Not recorded | 68fa7ba81e209131cea89b29 |
| BoT | 21432.03 | Not recorded | 68fa7ba81e209131cea89b29 |
| BoT | 17918.07 | Not recorded | 68fa7ba81e209131cea89b29 |
| BoT | 5604.96 | Not recorded | 68fa7ba81e209131cea89b29 |
| CoT-SC | 806.5 | Not recorded | 68fa7ba81e209131cea89b29 |
| CoT-SC | 806.5 | Not recorded | 68fa7ba81e209131cea89b29 |
| CoT-SC | 806.5 | Not recorded | 68fa7ba81e209131cea89b29 |
| CoT-SC | 806.5 | Not recorded | 68fa7ba81e209131cea89b29 |
| CoT-SC | 769.52 | Not recorded | 68fa7ba81e209131cea89b29 |
| RAG | 371.27 | Not recorded | 68fa7ba81e209131cea89b29 |
| RAG | 371.27 | Not recorded | 68fa7ba81e209131cea89b29 |
| RAG | 371.27 | Not recorded | 68fa7ba81e209131cea89b29 |
| RAG | 371.27 | Not recorded | 68fa7ba81e209131cea89b29 |
| RoT + TI | 286.02 | Not recorded | 68fa7ba81e209131cea89b29 |
| RoT + TI | 286.02 | Not recorded | 68fa7ba81e209131cea89b29 |
| RoT + TI | 286.02 | Not recorded | 68fa7ba81e209131cea89b29 |
| RoT + TI | 286.02 | Not recorded | 68fa7ba81e209131cea89b29 |
| RoT + TI | 286.02 | Not recorded | 68fa7ba81e209131cea89b29 |
| CoT | 260.57 | Not recorded | 68fa7ba81e209131cea89b29 |
| CoT | 260.57 | Not recorded | 68fa7ba81e209131cea89b29 |
| CoT | 260.57 | Not recorded | 68fa7ba81e209131cea89b29 |
| CoT | 260.57 | Not recorded | 68fa7ba81e209131cea89b29 |
| CoT | 260.57 | Not recorded | 68fa7ba81e209131cea89b29 |
| RAG | 252.55 | Not recorded | 68fa7ba81e209131cea89b29 |
| RoT | 216.03 | Not recorded | 68fa7ba81e209131cea89b29 |
| RoT | 216.03 | Not recorded | 68fa7ba81e209131cea89b29 |
| RoT | 216.03 | Not recorded | 68fa7ba81e209131cea89b29 |
| RoT | 216.03 | Not recorded | 68fa7ba81e209131cea89b29 |
| RoT | 216.03 | Not recorded | 68fa7ba81e209131cea89b29 |

### BoT

Input Tokens: 26854.97. Result ID: 69ce284547f34ce924b745ce.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7ba81e209131cea89b29.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa75381e209131cea66864.md>)

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

### BoT

Input Tokens: 21432.03. Result ID: 69ce284547f34ce924b745c8.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7ba81e209131cea89b29.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa75381e209131cea66864.md>)

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

### BoT

Input Tokens: 17918.07. Result ID: 69ce284547f34ce924b745c2.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7ba81e209131cea89b29.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa75381e209131cea66864.md>)

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

### BoT

Input Tokens: 5604.96. Result ID: 69ce284547f34ce924b745bc.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7ba81e209131cea89b29.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa75381e209131cea66864.md>)

Recorded evaluation configuration: {"LLM":"Qwen3-0.6B"}. This record does not assert independent reproduction.

### CoT-SC

Input Tokens: 806.5. Result ID: 69ce284547f34ce924b745bd.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7ba81e209131cea89b29.md>)

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

Recorded evaluation configuration: {"LLM":"Qwen3-0.6B"}. This record does not assert independent reproduction.

### CoT-SC

Input Tokens: 806.5. Result ID: 69ce284547f34ce924b745c3.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7ba81e209131cea89b29.md>)

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

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

### CoT-SC

Input Tokens: 806.5. Result ID: 69ce284547f34ce924b745c9.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7ba81e209131cea89b29.md>)

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

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

### CoT-SC

Input Tokens: 806.5. Result ID: 69ce284547f34ce924b745cf.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7ba81e209131cea89b29.md>)

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

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

### CoT-SC

Input Tokens: 769.52. Result ID: 69ce284547f34ce924b745d4.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7ba81e209131cea89b29.md>)

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

Recorded evaluation configuration: {"LLM":"Qwen3-14B"}. This record does not assert independent reproduction.

### RAG

Input Tokens: 371.27. Result ID: 69ce284547f34ce924b745bb.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7ba81e209131cea89b29.md>)

Recorded evaluation configuration: {"LLM":"Qwen3-0.6B"}. This record does not assert independent reproduction.

### RAG

Input Tokens: 371.27. Result ID: 69ce284547f34ce924b745c1.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7ba81e209131cea89b29.md>)

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

### RAG

Input Tokens: 371.27. Result ID: 69ce284547f34ce924b745c7.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7ba81e209131cea89b29.md>)

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

### RAG

Input Tokens: 371.27. Result ID: 69ce284547f34ce924b745cd.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7ba81e209131cea89b29.md>)

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

### RoT + TI

Input Tokens: 286.02. Result ID: 69ce284547f34ce924b745bf.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7ba81e209131cea89b29.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa7ba81e209131cea89b29.md>)

Recorded evaluation configuration: {"LLM":"Qwen3-0.6B"}. This record does not assert independent reproduction.

### RoT + TI

Input Tokens: 286.02. Result ID: 69ce284547f34ce924b745c5.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7ba81e209131cea89b29.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa7ba81e209131cea89b29.md>)

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

### RoT + TI

Input Tokens: 286.02. Result ID: 69ce284547f34ce924b745cb.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7ba81e209131cea89b29.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa7ba81e209131cea89b29.md>)

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

### RoT + TI

Input Tokens: 286.02. Result ID: 69ce284547f34ce924b745d1.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7ba81e209131cea89b29.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa7ba81e209131cea89b29.md>)

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

### RoT + TI

Input Tokens: 286.02. Result ID: 69ce284547f34ce924b745d6.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7ba81e209131cea89b29.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa7ba81e209131cea89b29.md>)

Recorded evaluation configuration: {"LLM":"Qwen3-14B"}. This record does not assert independent reproduction.

### CoT

Input Tokens: 260.57. Result ID: 69ce284547f34ce924b745ba.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7ba81e209131cea89b29.md>)

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

Recorded evaluation configuration: {"LLM":"Qwen3-0.6B"}. This record does not assert independent reproduction.

### CoT

Input Tokens: 260.57. Result ID: 69ce284547f34ce924b745c0.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7ba81e209131cea89b29.md>)

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

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

### CoT

Input Tokens: 260.57. Result ID: 69ce284547f34ce924b745c6.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7ba81e209131cea89b29.md>)

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

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

### CoT

Input Tokens: 260.57. Result ID: 69ce284547f34ce924b745cc.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7ba81e209131cea89b29.md>)

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

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

### CoT

Input Tokens: 260.57. Result ID: 69ce284547f34ce924b745d2.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7ba81e209131cea89b29.md>)

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

Recorded evaluation configuration: {"LLM":"Qwen3-14B"}. This record does not assert independent reproduction.

### RAG

Input Tokens: 252.55. Result ID: 69ce284547f34ce924b745d3.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7ba81e209131cea89b29.md>)

Recorded evaluation configuration: {"LLM":"Qwen3-14B"}. This record does not assert independent reproduction.

### RoT

Input Tokens: 216.03. Result ID: 69ce284547f34ce924b745be.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7ba81e209131cea89b29.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa7ba81e209131cea89b29.md>)

Recorded evaluation configuration: {"LLM":"Qwen3-0.6B"}. This record does not assert independent reproduction.

### RoT

Input Tokens: 216.03. Result ID: 69ce284547f34ce924b745c4.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7ba81e209131cea89b29.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa7ba81e209131cea89b29.md>)

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

### RoT

Input Tokens: 216.03. Result ID: 69ce284547f34ce924b745ca.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7ba81e209131cea89b29.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa7ba81e209131cea89b29.md>)

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

### RoT

Input Tokens: 216.03. Result ID: 69ce284547f34ce924b745d0.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7ba81e209131cea89b29.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa7ba81e209131cea89b29.md>)

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

### RoT

Input Tokens: 216.03. Result ID: 69ce284547f34ce924b745d5.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7ba81e209131cea89b29.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa7ba81e209131cea89b29.md>)

Recorded evaluation configuration: {"LLM":"Qwen3-14B"}. This record does not assert independent reproduction.

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