Here we analyze how the target error threshold impacts GLST. For these results, a salt water box containing 65,275 waters and 667 sodium and chlorine pairs (197,159 total atoms) was used with a direct space cutoff of 18 Å. From Fig. it is clear that a higher target accuracy (smaller target error threshold) negatively impacts the performance, which is a direct consequence of more cubature nodes being needed in order to achieve the higher levels of accuracy. The cubature nodes have such a large impact on the runtime because for each atom the basis functions must be computed at all of the cubature nodes. While the current runtime for very low errors (≤ 10 -8 ) is prohibitively large to be used for MD simulations, the runtime for more realistic errors (∼ 10 -4 ) is reasonable.