A general algorithm for rapidly computing the electron repulsion integral (ERI) is derived for the ACE-b3k3 formula, which has been derived previously. [K. Ishida, Int. J. Quantum Chem., 59, 209 (1996)]. A computer program code that is universal for all types of Gaussian-type orbitals (GTOs) up to h-type can be constructed by the use of this general algorithm. It is confirmed that the ACE-b3k3 algorithm is numerically very stable even for higher order GTOs. It is found that, in a floating-point-operation (FLOP) count assessment, the ACE-b3k3 algorithm is the fastest among all methods available in the literature for (dd|dd), (ff|ff), (gg|gg), and (hh|hh) ERIs when the degree of contraction of the GTO is high.
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Kazuhiro Ishida (1998) studied this question.