Over the past few years, the explosion in sparse tensor algebra workloads has led to a corresponding rise in domain-specific accelerators to service them. Due to the irregularity present in sparse tensors, these accelerators employ a wide variety of novel solutions to achieve good performance. At the same time, prior work on design-flexible sparse accelerator modeling does not express this full range of design features. This has made it difficult to compare or extend the state of the art, and understand the impact of each design choice. To address this gap, we propose TeAAL: a framework that enables the concise and precise specification and evaluation of sparse tensor algebra architectures.