Recent analysis of high explosives using the cylinder test has resulted in an increased understanding of the experimental uncertainty for the cylinder test. To fit the Jones-Wilkins-Lee equation-of-state model to less than experimental uncertainty, an optimization process is developed. This process, when applied to a large range of explosives, seems to show that the exponent R1 increases with increasing energy density and is grouped based on ideality. The optimal parameters are shown to increase the accuracy of an analytic equation-of-state tool.