Aim of the presented study is to investigate the numerical solution of fifth-order nonlinear Lane-Emden (LE) based singular system at the origin with different shape factors developed on the analogous pattern of standard second order LE equations. The stochastic neuro-evolution computing is exploited for numerical outcomes by using the artificial neural networks (ANNs) for applicable mapping and learning of decision variables with integrated meta-heuristics of genetic algorithms (GAs) for global search aided with the rapid local search of active-set (AS) i.e., ANN-GA-AS algorithm. The designed numerical computing approach ANN-GA-AS implemented effectively for solving fifth-order nonlinear LE singular system and results of statistical assessments further authenticate the accuracy, convergence, and stability.