Benchmark Almanac

Math401

Qwen-14B 70.1% Only in system cards

Models compute 401 arithmetic expressions covering addition, multiplication, exponents, logarithms and trigonometry. Scored by exact numeric accuracy.

Tests arithmetic skill rather than word-problem reasoning.

In the authors’ words

Large language models have emerged abilities including chain-of-thought to answer math word problems step by step. Solving math word problems not only requires abilities to disassemble problems via chain-of-thought but also needs to calculate arithmetic expressions correctly for each step. To the best of our knowledge, there is no work to focus on evaluating the arithmetic ability of large language models. In this work, we propose an arithmetic dataset MATH 401 to test the latest large language models including GPT-4, ChatGPT, InstrctGPT, Galactica, and LLaMA with various arithmetic expressions and provide a detailed analysis of the ability of large language models. MATH 401 and evaluation codes are released at https://github.com/GanjinZero/math401-llm.

Abstract of How well do Large Language Models perform in Arithmetic tasks? (arXiv:2304.02015, CC0)
Made by Alibaba DAMO Academy (Yuan et al.) Released Apr 2023 Word problems All tasks public Last in a system card Sep 2023 Last model added Sep 2023
Level
Everyday Most adults, without training
Scored
Checked automatically A program checks the result against an answer key, unit tests or the expected final state.
Answers
Short answer A number, word or short string matched to a key.
2
Models scored in lab cards
2
System cards report it, from 1 lab

Qwen-14B leads with 70.1%

Best score per model as labs report them in their own cards. Labs pick their own settings, so these compare less cleanly than independent runs.

  1. 1 Qwen-14B 70.1%
  2. 2 Qwen-7B 57.4%
#ModelScoreSettingDateSource
1 Qwen-14B 70.1% Sep 2023 Model card
2 Qwen-7B 57.4% Sep 2023 Model card

Scores over time

All the scores we have, one dot each, so a model tested at several settings appears more than once.

Reported by the lab in its model card
0% 20% 40% 60% 80% 100% Near the ceiling (85%) Qwen-14B 0% 20% 40% 60% 80% 100% Near the ceiling (85%) Qwen-14B

Labs report it only in system cards

We read the headline results of 479 launch posts from 51 labs, and none of them list this benchmark. Some system cards do, below.

2 system cards report it, from 1 lab

Besides launch posts, we read the system cards, model cards and technical reports labs publish with a release. They report far more, including safety and frontier-risk tests.

DateDocumentScoreAs the document writes itSection
28 Sep 2023 Qwen-7B technical report 57.4 Math401, greedy decoding (Table 12) Capabilities
28 Sep 2023 Qwen-14B technical report 70.1 Math401, greedy decoding (Table 12) Capabilities

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