Generating Elementary Integrable Expressions

TL;DR

This paper introduces a method to generate a large, unbiased dataset of elementary integrable expressions using the Risch Algorithm, aiding machine learning applications in symbolic integration.

Contribution

It presents a novel data generation approach leveraging the Risch Algorithm to improve dataset quality for machine learning in symbolic integration.

Findings

Generated a large dataset of elementary integrable expressions

Reduced bias present in previous data generation methods

Facilitated better training data for machine learning models

Abstract

There has been an increasing number of applications of machine learning to the field of Computer Algebra in recent years, including to the prominent sub-field of Symbolic Integration. However, machine learning models require an abundance of data for them to be successful and there exist few benchmarks on the scale required. While methods to generate new data already exist, they are flawed in several ways which may lead to bias in machine learning models trained upon them. In this paper, we describe how to use the Risch Algorithm for symbolic integration to create a dataset of elementary integrable expressions. Further, we show that data generated this way alleviates some of the flaws found in earlier methods.