| """ |
| MGSM: Multilingual Grade School Math Benchmark (MGSM) is a benchmark of grade-school math problems. |
| Language Models are Multilingual Chain-of-Thought Reasoners |
| Freda Shi, Mirac Suzgun, Markus Freitag, Xuezhi Wang, Suraj Srivats, Soroush Vosoughi, Hyung Won Chung, Yi Tay, Sebastian Ruder, Denny Zhou, Dipanjan Das, Jason Wei |
| https://arxiv.org/abs/2210.03057 reference: https://github.com/google-research/url-nlp |
| """ |
|
|
| import re |
| from typing import Optional |
|
|
| from . import common |
| from .mmlu_eval import HTML_JINJA |
| from .types import Eval, EvalResult, SamplerBase, SingleEvalResult |
|
|
| ALL_LANGUAGES = ["bn", "de", "en", "es", "fr", "ja", "ru", "sw", "te", "th", "zh"] |
| LATIN_LANGUAGES = ["de", "en", "es", "fr", "sw"] |
| NON_LATIN_LANGUAGES = ["bn", "ja", "ru", "te", "th", "zh"] |
|
|
| LANG_TO_FPATH = { |
| "bn": "https://openaipublic.blob.core.windows.net/simple-evals/mgsm_bn.tsv", |
| "de": "https://openaipublic.blob.core.windows.net/simple-evals/mgsm_de.tsv", |
| "en": "https://openaipublic.blob.core.windows.net/simple-evals/mgsm_en.tsv", |
| "es": "https://openaipublic.blob.core.windows.net/simple-evals/mgsm_es.tsv", |
| "fr": "https://openaipublic.blob.core.windows.net/simple-evals/mgsm_fr.tsv", |
| "ja": "https://openaipublic.blob.core.windows.net/simple-evals/mgsm_ja.tsv", |
| "ru": "https://openaipublic.blob.core.windows.net/simple-evals/mgsm_ru.tsv", |
| "sw": "https://openaipublic.blob.core.windows.net/simple-evals/mgsm_sw.tsv", |
| "te": "https://openaipublic.blob.core.windows.net/simple-evals/mgsm_te.tsv", |
| "th": "https://openaipublic.blob.core.windows.net/simple-evals/mgsm_th.tsv", |
| "zh": "https://openaipublic.blob.core.windows.net/simple-evals/mgsm_zh.tsv", |
| } |
| LANG_TO_INSTRUCTIONS = { |
| "en": """Solve this math problem. Give the reasoning steps before giving the final answer on the last line by itself in the format of "Answer:". Do not add anything other than the integer answer after "Answer:". |
| |
| {input}""", |
| "bn": """এই গণিতের সমস্যাটি সমাধান করুন। চূড়ান্ত উত্তর দেওয়ার আগে যুক্তিসম্পন্ন পদক্ষেপ প্রদান করুন। চূড়ান্ত উত্তরটি একক সংখ্যা হিসাবে "উত্তর:" এর পরে শেষ লাইনে দিন। "উত্তর:" এর পরে অন্য কিছু যুক্ত করবেন না।. |
| |
| {input}""", |
| "de": """Löse dieses Mathematikproblem. Gib die Schritte zur Begründung an, bevor du die endgültige Antwort in der letzten Zeile alleine im Format "Antwort:" gibst. Füge nichts anderes als die ganzzahlige Antwort nach "Antwort:" hinzu. |
| |
| {input}""", |
| "es": """Resuelve este problema matemático. Proporciona los pasos de razonamiento antes de dar la respuesta final en la última línea por sí misma en el formato de "Respuesta:". No añadas nada más que la respuesta entera después de "Respuesta:". |
| |
| {input}""", |
| "fr": """Résolvez ce problème de mathématiques. Donnez les étapes de raisonnement avant de fournir la réponse finale sur la dernière ligne elle-même dans le format de "Réponse:". N'ajoutez rien d'autre que la réponse entière après "Réponse:". |
| |
| {input}""", |
| "ja": """の数学の問題を解いてください。最終的な答えを出す前に、解答の推論過程を記述してください。そして最後の行には "答え:" の形式で答えを記述し、その後には整数の答え以外何も追加しないでください。 |
| |
| {input}""", |
| "ru": """Решите эту математическую задачу. Объясните шаги рассуждения перед тем, как дать окончательный ответ в последней строке сам по себе в формате "Ответ:". Не добавляйте ничего, кроме целочисленного ответа после "Ответ:". |
| |
| {input}""", |
| "sw": """Suluhisha tatizo hili la hesabu. Toa hatua za mantiki kabla ya kutoa jibu la mwisho kwenye mstari wa mwisho peke yake katika muundo wa "Jibu:". Usiongeze chochote kingine isipokuwa jibu la integer baada ya "Jibu:". |
| |
| {input}""", |
| "te": """ఈ గణిత సమస్యను పరిష్కరించండి. చివరి సమాధానాన్ని ఇవ్వదానికి ముందు తర్కాత్మక అదుగులను ఇవ్వండి. చివరి పంక్తిలో మాత్రమే 'సమాధానం:' అనే ఆకారంలో చివరి సమాధానాద్ని ఇవ్వండి సమాధానం: తర్వాత పూర్ణాంక సమాధానానికి తప్పించి ఎదేనా చేర్చవద్దు. |
| |
| {input}""", |
| "th": """แก้ปัญหาคณิตศาสตร์นี้ ให้ให้ขั้นตอนการใช้เหตุผลก่อนที่จะให้คำตอบสุดท้ายในบรรทัดสุดท้ายโดยอยู่ในรูปแบบ "คำตอบ:" ไม่ควรเพิ่มอะไรนอกจากคำตอบที่เป็นจำนวนเต็มหลังจาก "คำตอบ:" |
| |
| {input}""", |
| "zh": """解决这个数学问题。在最后一行给出答案前,请提供推理步骤。最后一行应该以 "答案: " 的形式独立给出答案。在 "答案:" 后不要添加除整数答案之外的任何内容。 |
| |
| {input}""", |
| } |
|
|
| LANG_TO_ANSWER_PREFIX = { |
| "en": "Answer", |
| "bn": "উত্তর", |
| "de": "Antwort", |
| "es": "Respuesta", |
| "fr": "Réponse", |
| "ja": "答え", |
| "ru": "Ответ", |
| "sw": "Jibu", |
| "te": "సమాధానం", |
| "th": "คำตอบ", |
| "zh": "答案", |
| } |
|
|
|
|
| def parse_answer(answer: str, answer_prefix: str) -> str: |
| if answer_prefix not in answer: |
| return "" |
|
|
| answer_text = answer.split(answer_prefix)[-1].strip() |
|
|
| |
| numbers = re.findall(r"\d+\.?\d*", answer_text.replace(",", "")) |
|
|
| |
| |
| return numbers[-1].rstrip(".") if numbers else "" |
|
|
|
|
| def score_mgsm(target: str, prediction: str) -> bool: |
| if "." in prediction: |
| prediction = prediction.rstrip("0").rstrip(".") |
|
|
| target = target.replace(",", "") |
| prediction = prediction.replace(",", "") |
|
|
| return target == prediction |
|
|
|
|
| def get_lang_examples(lang: str) -> list[dict[str, str]]: |
| fpath = LANG_TO_FPATH[lang] |
| examples = [] |
| with common.url_to_fileobj(fpath, binary=True) as f: |
| for raw_line in f: |
| line = raw_line.decode("utf-8").strip() |
| inputs, targets = line.split("\t") |
| if "." in targets: |
| raise ValueError(f"targets {targets} contains a decimal point.") |
| |
| examples.append({"inputs": inputs, "targets": targets, "lang": lang}) |
| return examples |
|
|
|
|
| def get_all_examples() -> list[dict[str, str]]: |
| examples = [] |
| for lang in ALL_LANGUAGES: |
| if lang != "en": |
| continue |
| examples += get_lang_examples(lang) |
| return examples |
|
|
|
|
| class MGSMEval(Eval): |
| def __init__( |
| self, |
| num_examples_per_lang: int = 250, |
| languages: Optional[list[str]] = ALL_LANGUAGES, |
| ): |
| if languages is None: |
| languages = ALL_LANGUAGES |
| else: |
| for language in languages: |
| if language not in ALL_LANGUAGES: |
| raise ValueError( |
| f"language {language} is not a valid language. " |
| f"It should be one in {ALL_LANGUAGES}" |
| ) |
| self._languages = languages |
| self._num_examples_per_lang = num_examples_per_lang |
|
|
| examples = [] |
| for lang in self._languages: |
| lang_examples = get_lang_examples(lang) |
| examples.extend(lang_examples[: self._num_examples_per_lang]) |
| self.examples = examples |
|
|
| def __call__(self, sampler: SamplerBase) -> EvalResult: |
| def fn(example: dict[str, str]): |
| language = example["lang"] |
| latin_language = "group_latin" if language in LATIN_LANGUAGES else "group_non_latin" |
| correct_answer = example["targets"] |
| instruction = LANG_TO_INSTRUCTIONS[language] |
| prompt_messages = [ |
| sampler._pack_message( |
| content=instruction.format(input=example["inputs"]), role="user" |
| ) |
| ] |
| try: |
| response_text = sampler(prompt_messages) |
| except Exception as e: |
| response_text = "" |
|
|
| answer_prefix = LANG_TO_ANSWER_PREFIX[language] |
| extracted_answer = parse_answer(response_text, answer_prefix) |
|
|
| score = score_mgsm(correct_answer, extracted_answer) |
| html = common.jinja_env.from_string(HTML_JINJA).render( |
| prompt_messages=prompt_messages, |
| next_message=dict(content=response_text, role="assistant"), |
| score=score, |
| correct_answer=correct_answer, |
| extracted_answer=extracted_answer or None, |
| ) |
| convo = prompt_messages + [dict(content=response_text, role="assistant")] |
| return SingleEvalResult( |
| html=html, |
| score=score, |
| convo=convo, |
| metrics={language: score, latin_language: score}, |
| ) |
|
|
| results = common.map_with_progress(fn, self.examples) |
| return common.aggregate_results(results, default_stats=("mean", "std")) |
|
|