In this study, we construct inverse potentials for s-wave neutron-proton (n-p) elastic scattering in the \(^1S_0\) and \(^3S_1\) channels using a piecewise Morse function within the phase equation framework. Model parameters are optimized by minimizing the mean absolute error (MAE) between computed and expected phase shifts via a machine learning based optimization techniques. Phase shifts are determined using a fifth-order Runge-Kutta method for energy ranges up to 350 MeV and 1050 MeV. The resulting potentials exhibit distinct energy-dependent profiles, with deeper wells at higher energies, indicating increased attraction. The obtained MAE for These findings demonstrate the efficacy of the piecewise Morse function in constructing accurate energy-dependent inverse potentials and underscore its relevance in modeling nuclear interactions, particularly for high-energy scattering processes up to the GeV scale.