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The snags in Nucci(1996)REDUCE algorithm are the intrinsic computationalefforts and the ability to recognize the ignorable variable(s) during thereduction process of the algorithm. An inappropriate choice of the ignorablevariable(s)may lead to an infinite loop. We construct an isomorphictransformation which ameliorates these problems, and with which a simple,definite steps of algebraic process, produced equivalent system of equations tothat of Nucci that are easily solved by Lie point symmetry algorithm.

On the Reduction Process of Nucci-Reduce Algorithm for Computing  Nonlocal Symmetries of Dynamical Systems:A case study of the Kepler and  Kepler-related problems