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Testing GPT-4 with Wolfram Alpha and Code Interpreter plug-ins on math and science problems

Ernest Davis, Scott Aaronson

TL;DR

This study evaluates GPT-4 augmented with Wolfram Alpha and Code Interpreter plug-ins on 105 original high school and college level science and math problems, organized into three test sets to probe numerical, calculation-free, and motivated numerical tasks. The authors report that plug-ins substantially improve performance over GPT-4 alone, but observe pervasive interface failures and a gap between plug-in capability and effective use, suggesting the need for interactive, iterative problem solving with human oversight. Quantitatively, the results show mixed success across sets, with $8.25/32$ and $10/32$ on Arbitrary Numerical, $30.7/53$ and $34.2/53$ on Calculation-Free, and $14.3/20$ and $13.8/20$ on Motivated Numerical for WA and CI, respectively. The work argues for improved plug-in interfaces and cautions that while these systems approach undergraduate-level competence on some tasks, they are not yet reliable enough for autonomous college-level calculation workloads.

Abstract

This report describes a test of the large language model GPT-4 with the Wolfram Alpha and the Code Interpreter plug-ins on 105 original problems in science and math, at the high school and college levels, carried out in June-August 2023. Our tests suggest that the plug-ins significantly enhance GPT's ability to solve these problems. Having said that, there are still often "interface" failures; that is, GPT often has trouble formulating problems in a way that elicits useful answers from the plug-ins. Fixing these interface failures seems like a central challenge in making GPT a reliable tool for college-level calculation problems.

Testing GPT-4 with Wolfram Alpha and Code Interpreter plug-ins on math and science problems

TL;DR

This study evaluates GPT-4 augmented with Wolfram Alpha and Code Interpreter plug-ins on 105 original high school and college level science and math problems, organized into three test sets to probe numerical, calculation-free, and motivated numerical tasks. The authors report that plug-ins substantially improve performance over GPT-4 alone, but observe pervasive interface failures and a gap between plug-in capability and effective use, suggesting the need for interactive, iterative problem solving with human oversight. Quantitatively, the results show mixed success across sets, with and on Arbitrary Numerical, and on Calculation-Free, and and on Motivated Numerical for WA and CI, respectively. The work argues for improved plug-in interfaces and cautions that while these systems approach undergraduate-level competence on some tasks, they are not yet reliable enough for autonomous college-level calculation workloads.

Abstract

This report describes a test of the large language model GPT-4 with the Wolfram Alpha and the Code Interpreter plug-ins on 105 original problems in science and math, at the high school and college levels, carried out in June-August 2023. Our tests suggest that the plug-ins significantly enhance GPT's ability to solve these problems. Having said that, there are still often "interface" failures; that is, GPT often has trouble formulating problems in a way that elicits useful answers from the plug-ins. Fixing these interface failures seems like a central challenge in making GPT a reliable tool for college-level calculation problems.
Paper Structure (13 sections, 1 equation, 7 tables)