| --- |
| configs: |
| - config_name: math500 |
| data_files: |
| - split: train |
| path: data/math500.jsonl |
| --- |
| <!-- config:math500 --> |
| ## math500 |
|
|
| 100 instances, evaluated from [`connections-dev/create-interpret-task-general-x100`](https://huggingface.co/datasets/connections-dev/create-interpret-task-general-x100) (commit |
| `8485bb7`), eval code at git `87dd0ea`. |
| Files: `data/math500.jsonl` (one row per instance), `metrics/math500.json`, `audit/math500.jsonl` |
| (answer groups that string match called wrong, next to the gold answer, to see what it misses). |
|
|
| ### Results |
| | Metric | Value | |
| |---|---| |
| | Instances | 100 | |
| | Samples (successful / total) | 9950 / 10000 | |
| | Mean accuracy (pass@1) | 0.959 | |
| | pass@5 | 0.985 | |
| | pass@10 | 0.988 | |
| | pass@100 | 0.989 | |
| | Majority vote | 0.970 | |
| | Truncated (hit the token limit) | 0.0% | |
| | No answer | 0.0% | |
| | Answer taken from `\boxed{}` (no tags) | 99.7% | |
| | Answered without `<answer>` tags or a box | 0.0% | |
| | Answer taken from the first **bold** span | 0.0% | |
| | Confidently wrong (top wrong answer >= 50.0% of samples) | 2.0% | |
| | Modal answer correct | 97.0% | |
| | Neither (modal wrong, no dominant wrong answer) | 1.0% | |
| | Distinct answers per instance (mean) | 1.33 | |
| | Answer entropy, bits (mean) | 0.10 | |
|
|
| ### By level |
| | level | Instances | Mean accuracy | Any sample correct | |
| |---|---|---|---| |
| | 1 | 11 | 0.951 | 1.000 | |
| | 2 | 25 | 0.960 | 0.960 | |
| | 3 | 19 | 0.999 | 1.000 | |
| | 4 | 22 | 0.994 | 1.000 | |
| | 5 | 23 | 0.896 | 1.000 | |
|
|
| ### By subject |
| | subject | Instances | Mean accuracy | Any sample correct | |
| |---|---|---|---| |
| | Algebra | 25 | 1.000 | 1.000 | |
| | Counting & Probability | 6 | 0.973 | 1.000 | |
| | Geometry | 7 | 0.923 | 1.000 | |
| | Intermediate Algebra | 19 | 0.863 | 0.947 | |
| | Number Theory | 11 | 1.000 | 1.000 | |
| | Prealgebra | 18 | 0.958 | 1.000 | |
| | Precalculus | 14 | 0.999 | 1.000 | |
|
|
| ### How answers are scored |
| - **Answer**: the text after the last `</think>`. The last `<answer>...</answer>` wins (`answer_source` = `tag`). |
| If the tags are missing, the last `\boxed{...}` is used (`boxed`; Qwen3's habit on math). Failing that, if the |
| model wrote just the answer (one line, at most 3 tokens, generation finished normally), that is used and marked |
| `bare`; failing that, the first `**bold**` span (at most 12 tokens) is used and marked `bold` (answers written as |
| a sentence with the answer in bold). Anything else is no answer, which counts as wrong. |
| - **Bucket**: answers that mean the same thing are grouped: lowercase, strip accents/articles/punctuation, U.S. = |
| United States, numbers (`50,000`, `50k`, `8.3 million`) and dates are canonicalised (a currency stays part of |
| the number), and for SimpleQA an answer whose words are all inside exactly one longer answer is merged into it |
| ("Coast Guard" into "United States Coast Guard"). Answers over 12 tokens are never merged. RAT is not merged. |
| - **Match** (`correct`): the bucket equals a gold answer (`exact`), or for SimpleQA is contained in it or contains |
| it without hedging words (`contains`). Failed requests are null; no answer is false. |
| - **Metrics**: `acc` is the fraction of successful samples that are correct (= pass@1); pass@k is the unbiased |
| estimator; majority vote takes the top bucket and splits ties as fractional credit; entropy is in bits over the |
| answered buckets. Failed requests are excluded from every rate. |
| - **Judge** (SimpleQA only, optional): the simple-evals SimpleQA grader on each distinct bucket; per-sample |
| verdicts are in the `judge` column. |
|
|
| ### Columns |
| | Column | Description | |
| |---|---| |
| | instance_id | instance id (same ids as the generations repo) | |
| | gold | list of accepted gold answers | |
| | meta | dataset metadata for the instance (RAT: difficulty, cues; SimpleQA: topic, answer_type, ...) | |
| | n_samples / n_success / n_answered / n_bare / n_boxed | samples seen / requests that succeeded / samples with an answer / bare answers without tags / answers from \boxed{} | |
| | n_bold | answers taken from the first **bold** span of an untagged sentence | |
| | n_correct / n_truncated / n_no_answer | string-match correct / finish_reason=length / no answer | |
| | answer_counts | the distribution: list of {bucket, label, count, match, judge, members}, most common first | |
| | n_distinct / modal_answer / modal_frac / entropy | distinct buckets, top bucket, its share of successes, entropy in bits | |
| | modal_is_correct / top_wrong_frac / collapsed_wrong | top bucket correct; share of samples in the most common wrong bucket; that share >= 0.5 (confidently wrong) | |
| | acc / pass_any / majority_correct | fraction correct, any correct, majority vote (ties split) | |
| | judge_acc / judge_pass_any / judge_majority_correct / judge_counts | same, from the LLM judge (judge runs only) | |
| | sample_idx, ok, answer, answer_source, bucket, truncated, correct, judge | per-sample lists aligned by position: the judgment for every sample | |
|
|
| <details><summary>Full metrics JSON</summary> |
|
|
| ```json |
| { |
| "n_instances": 100, |
| "n_instances_with_samples": 100, |
| "n_samples": 10000, |
| "n_success": 9950, |
| "n_failed": 50, |
| "acc_mean": 0.9592382820638425, |
| "pass_any_mean": 0.99, |
| "majority_correct_mean": 0.97, |
| "truncation_rate": 0.00030150753768844223, |
| "no_answer_rate": 0.00030150753768844223, |
| "bare_rate": 0.0, |
| "boxed_rate": 0.9968844221105527, |
| "bold_rate": 0.0, |
| "entropy_mean": 0.09660363697596018, |
| "n_distinct_mean": 1.33, |
| "collapse": { |
| "threshold": 0.5, |
| "collapsed_wrong_frac": 0.02, |
| "modal_correct_frac": 0.97, |
| "other_frac": 0.01, |
| "top_wrong_frac_mean": 0.031058113226814156 |
| }, |
| "pass_at_k": { |
| "1": { |
| "value": 0.9592382820638425, |
| "n_instances": 100 |
| }, |
| "5": { |
| "value": 0.9846545271250211, |
| "n_instances": 100 |
| }, |
| "10": { |
| "value": 0.9883641964917858, |
| "n_instances": 100 |
| }, |
| "100": { |
| "value": 0.9893617021276596, |
| "n_instances": 94 |
| } |
| }, |
| "breakdowns": { |
| "level": { |
| "1": { |
| "n_instances": 11, |
| "acc_mean": 0.950909090909091, |
| "pass_any_mean": 1.0 |
| }, |
| "2": { |
| "n_instances": 25, |
| "acc_mean": 0.96, |
| "pass_any_mean": 0.96 |
| }, |
| "3": { |
| "n_instances": 19, |
| "acc_mean": 0.9994736842105262, |
| "pass_any_mean": 1.0 |
| }, |
| "4": { |
| "n_instances": 22, |
| "acc_mean": 0.9936363636363637, |
| "pass_any_mean": 1.0 |
| }, |
| "5": { |
| "n_instances": 23, |
| "acc_mean": 0.8962534002775766, |
| "pass_any_mean": 1.0 |
| } |
| }, |
| "subject": { |
| "Algebra": { |
| "n_instances": 25, |
| "acc_mean": 0.9995999999999999, |
| "pass_any_mean": 1.0 |
| }, |
| "Counting & Probability": { |
| "n_instances": 6, |
| "acc_mean": 0.9731786941580757, |
| "pass_any_mean": 1.0 |
| }, |
| "Geometry": { |
| "n_instances": 7, |
| "acc_mean": 0.9228571428571428, |
| "pass_any_mean": 1.0 |
| }, |
| "Intermediate Algebra": { |
| "n_instances": 19, |
| "acc_mean": 0.8629186166239164, |
| "pass_any_mean": 0.9473684210526315 |
| }, |
| "Number Theory": { |
| "n_instances": 11, |
| "acc_mean": 1.0, |
| "pass_any_mean": 1.0 |
| }, |
| "Prealgebra": { |
| "n_instances": 18, |
| "acc_mean": 0.958294573643411, |
| "pass_any_mean": 1.0 |
| }, |
| "Precalculus": { |
| "n_instances": 14, |
| "acc_mean": 0.9992857142857143, |
| "pass_any_mean": 1.0 |
| } |
| } |
| }, |
| "subset": "math500", |
| "n_requested": "all", |
| "input": { |
| "repo": "connections-dev/create-interpret-task-general-x100", |
| "sha": "8485bb7b97b7b1fa1474c31ea397b8aee0e9f5f7", |
| "subset": "math500" |
| }, |
| "enable_thinking": true, |
| "answer_prefill": "", |
| "judge_model": null, |
| "judge_settings": null, |
| "eval_git": { |
| "sha": "87dd0ea592e6ef65a8bb3e5fa11fa92985654613", |
| "dirty": false |
| } |
| } |
| ``` |
|
|
| </details> |
|
|
| <!-- /config:math500 --> |
|
|
