Supplementary Material: Einsum Benchmark

For what purpose was the dataset created? The dataset was created with two primary purposes. First, it serves as a benchmark for einsum libraries, enabling the assessment of both the efficiency in determining contraction paths and the performance in executing einsum expressions. Second, it provides developers with a diverse set of einsum problem instances, thereby facilitating the development of more efficient, general-purpose einsum libraries. The dataset instances were created by the authors.