While the standard in the field is to apply uniform sampling time to all windows, additional sampling time may occasionally be added based on various convergence criteria, typically functions of the window error estimates from either TI or BAR utilizing a single or multiple replicates. Our method differs in that we measure convergence based on the distribution of the gradient time series without explicitly computing the variances of or between various windows. For TI, the overall variance of a single calculation often greatly underestimates the variance observed from multiple runs; thus, utilizing metrics independent of the variance of the calculation may yield more reliable results. The fact that the variance of a window may not correctly reflect the accuracy of the simulation has been noted by others. We plan to address this issue in future work. Furthermore, not requiring the use of multiple replicates streamlines and simplifies the overall workflow, while still allowing for the use of repeated runs if resources allow.