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mgsm_eval.py
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"""
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()
# find all the numbers (including decimals) in the string
numbers = re.findall(r"\d+\.?\d*", answer_text.replace(",", ""))
# return the first number (removing trailing decimal point if present),
# or an empty string if there were no numbers
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.")
# targets = int(targets.replace(",", ""))
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, # restrict to a subset of the data for debugging
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"))