Update four-model benchmark report
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README.md
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---
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license: gpl-3.0
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pretty_name: Calculator
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size_categories:
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- 10K<n<100K
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task_categories:
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- text-generation
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language:
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- en
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configs:
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- config_name: default
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data_files:
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- split: train
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path: data/train-*
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- split: validation
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path: data/validation-*
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- split: test
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path: data/test-*
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---
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# Arithmetic Expression Dataset
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- curly braces: `{}`
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The dataset is balanced across reduction depths from 1 to 15 and is intended for SLMs that learn structured mathematical reasoning from examples.
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## Content
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Each sample contains:
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- `expression` — the original arithmetic expression
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- `prompt` — the input prompt for the model
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- `completion` — the target answer in `<think> ... </think>` and `<answer> ... </answer>` format
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- `answer` — the final numeric result
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- `steps` — the number of reduction steps
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- `text` — the full formatted training sample
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## Counts
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- Train examples: 15000
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- Validation examples: 750
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- Test examples: 3000
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- Total examples: 18750
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Each step from 1 to 15 appears exactly:
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- 1000 times in train
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- 50 times in validation
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- 200 times in test
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The symbol-length distribution:
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## Example
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```text
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### Expression
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Calculate: {([20 - 9] - 3) * ({[8 + {{2 * 18} - (12 * 19)}] - {(15 * 13) - 12}} + 11)}
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### Answer
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<think>
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Start: {([20 - 9] - 3) * ({[8 + {{2 * 18} - (12 * 19)}] - {(15 * 13) - 12}} + 11)}
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1. (20 - 9) = 11
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2. (11 - 3) = 8
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3. (2 * 18) = 36
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4. (12 * 19) = 228
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5. (36 - 228) = -192
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6. (8 + -192) = -184
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7. (15 * 13) = 195
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8. (195 - 12) = 183
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9. (-184 - 183) = -367
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10. (-367 + 11) = -356
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11. (8 * -356) = -2848
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</think>
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<answer>-2848</answer>
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```
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## Evaluation on Qwen2.5-Math
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We used this dataset to evaluate the mathematical abilities of models from the `Qwen2.5-Math` family. The plot shows that the accuracy of models without integrated calculation tools decreases approximately quadratically:
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We propose a weighted accuracy metric where results for problems requiring more steps are weighted by the square of the step count:
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$$
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\text{weighted\_score} = \frac{\
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$$
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Comparison table:
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| model_id | overall_acc | weighted_score |
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| Qwen/Qwen2.5-Math-7B-Instruct | 0.803667 | 0.651044 |
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---
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license: gpl-3.0
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pretty_name: Calculator
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---
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# Arithmetic Expression Dataset
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Source code and reproducible evaluation pipeline:
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[calculator-benchmark](https://github.com/pymlex/calculator-benchmark) on GitHub.
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## Evaluation across four models
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Models: `Qwen2.5-Math-1.5B`, `Qwen2.5-Math-7B`,
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`AceReason-Nemotron-1.1-7B`, `MathGLM-2B`.
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Weighted score:
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$$
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\text{weighted\_score} = \frac{\sum_{s=1}^{15} (\text{mean}(\text{correct}_s) \cdot s^2)}{\sum_{s=1}^{15} s^2}
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$$
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| model_id | overall_acc | weighted_score |
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| nvidia/AceReason-Nemotron-1.1-7B | 0.955667 | 0.912847 |
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| Qwen/Qwen2.5-Math-7B-Instruct | 0.803667 | 0.651044 |
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| Qwen/Qwen2.5-Math-1.5B-Instruct | 0.758333 | 0.571052 |
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Per-model CSV files are attached in this dataset repository root.
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