| --- |
| configs: |
| - config_name: math500 |
| data_files: |
| - split: train |
| path: data/math500.jsonl |
| --- |
| <!-- config:math500 --> |
| ## math500 |
|
|
| 500 instances, evaluated from [`connections-dev/create-interpret-task-general-x100`](https://huggingface.co/datasets/connections-dev/create-interpret-task-general-x100) (commit |
| `f6446ce`), eval code at git `59d76b0`. |
| 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 | 500 | |
| | Samples (successful / total) | 50000 / 50000 | |
| | Mean accuracy (pass@1) | 0.964 | |
| | pass@5 | 0.986 | |
| | pass@10 | 0.990 | |
| | pass@100 | 0.994 | |
| | Majority vote | 0.978 | |
| | Truncated (hit the token limit) | 0.2% | |
| | No answer | 0.2% | |
| | Answer taken from `\boxed{}` (no tags) | 99.3% | |
| | 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) | 1.0% | |
| | Modal answer correct | 97.8% | |
| | Neither (modal wrong, no dominant wrong answer) | 1.2% | |
| | Distinct answers per instance (mean) | 1.56 | |
| | Answer entropy, bits (mean) | 0.11 | |
|
|
| ### By level |
| | level | Instances | Mean accuracy | Any sample correct | |
| |---|---|---|---| |
| | 1 | 43 | 0.969 | 1.000 | |
| | 2 | 90 | 0.986 | 0.989 | |
| | 3 | 105 | 0.992 | 1.000 | |
| | 4 | 128 | 0.971 | 1.000 | |
| | 5 | 134 | 0.919 | 0.985 | |
|
|
| ### By subject |
| | subject | Instances | Mean accuracy | Any sample correct | |
| |---|---|---|---| |
| | Algebra | 124 | 0.999 | 1.000 | |
| | Counting & Probability | 38 | 0.960 | 1.000 | |
| | Geometry | 41 | 0.872 | 0.976 | |
| | Intermediate Algebra | 97 | 0.939 | 0.990 | |
| | Number Theory | 62 | 0.999 | 1.000 | |
| | Prealgebra | 82 | 0.966 | 1.000 | |
| | Precalculus | 56 | 0.957 | 0.982 | |
|
|
| ### 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": 500, |
| "n_instances_with_samples": 500, |
| "n_samples": 50000, |
| "n_success": 50000, |
| "n_failed": 0, |
| "acc_mean": 0.96396, |
| "pass_any_mean": 0.994, |
| "majority_correct_mean": 0.978, |
| "truncation_rate": 0.0024, |
| "no_answer_rate": 0.00242, |
| "bare_rate": 0.0, |
| "boxed_rate": 0.99326, |
| "bold_rate": 0.0, |
| "entropy_mean": 0.11005466561573345, |
| "n_distinct_mean": 1.56, |
| "collapse": { |
| "threshold": 0.5, |
| "collapsed_wrong_frac": 0.01, |
| "modal_correct_frac": 0.978, |
| "other_frac": 0.012, |
| "top_wrong_frac_mean": 0.02134 |
| }, |
| "pass_at_k": { |
| "1": { |
| "value": 0.96396, |
| "n_instances": 500 |
| }, |
| "5": { |
| "value": 0.9855310169866135, |
| "n_instances": 500 |
| }, |
| "10": { |
| "value": 0.9896725403400437, |
| "n_instances": 500 |
| }, |
| "100": { |
| "value": 0.994, |
| "n_instances": 500 |
| } |
| }, |
| "breakdowns": { |
| "level": { |
| "1": { |
| "n_instances": 43, |
| "acc_mean": 0.9690697674418605, |
| "pass_any_mean": 1.0 |
| }, |
| "2": { |
| "n_instances": 90, |
| "acc_mean": 0.9857777777777778, |
| "pass_any_mean": 0.9888888888888889 |
| }, |
| "3": { |
| "n_instances": 105, |
| "acc_mean": 0.9920952380952381, |
| "pass_any_mean": 1.0 |
| }, |
| "4": { |
| "n_instances": 128, |
| "acc_mean": 0.9709375, |
| "pass_any_mean": 1.0 |
| }, |
| "5": { |
| "n_instances": 134, |
| "acc_mean": 0.918955223880597, |
| "pass_any_mean": 0.9850746268656716 |
| } |
| }, |
| "subject": { |
| "Algebra": { |
| "n_instances": 124, |
| "acc_mean": 0.9989516129032259, |
| "pass_any_mean": 1.0 |
| }, |
| "Counting & Probability": { |
| "n_instances": 38, |
| "acc_mean": 0.9602631578947369, |
| "pass_any_mean": 1.0 |
| }, |
| "Geometry": { |
| "n_instances": 41, |
| "acc_mean": 0.8717073170731707, |
| "pass_any_mean": 0.975609756097561 |
| }, |
| "Intermediate Algebra": { |
| "n_instances": 97, |
| "acc_mean": 0.9394845360824742, |
| "pass_any_mean": 0.9896907216494846 |
| }, |
| "Number Theory": { |
| "n_instances": 62, |
| "acc_mean": 0.9991935483870968, |
| "pass_any_mean": 1.0 |
| }, |
| "Prealgebra": { |
| "n_instances": 82, |
| "acc_mean": 0.9659756097560975, |
| "pass_any_mean": 1.0 |
| }, |
| "Precalculus": { |
| "n_instances": 56, |
| "acc_mean": 0.9569642857142858, |
| "pass_any_mean": 0.9821428571428571 |
| } |
| } |
| }, |
| "subset": "math500", |
| "n_requested": "all", |
| "input": { |
| "repo": "connections-dev/create-interpret-task-general-x100", |
| "sha": "f6446ce19bebb877d81a9a062906190a60dc5d8d", |
| "subset": "math500" |
| }, |
| "enable_thinking": true, |
| "answer_prefill": "", |
| "judge_model": null, |
| "judge_settings": null, |
| "eval_git": { |
| "sha": "59d76b0c6c4aedffc10d0e4276fdea9770a37a4d", |
| "dirty": false |
| } |
| } |
| ``` |
|
|
| </details> |
|
|
| <!-- /config:math500 --> |
|
|
