One-loop electroweak corrections to observables of the reaction e − e − → e − e − (γ) were calculated over a broad range of energies: from conditions of the MOLLER experiment at the Thomas Jefferson Laboratory (JLab) to those of planned experiments at the International Linear Collider (ILC). The dependence of various contributions to the observable polarization asymmetry on various renormalization conditions was studied within the scheme of on-shell renormalization. The results were obtained by two methods: precisely, by applying the FeynArts, FormCalc, LoopTools, and Form computer codes, and approximately, with the aid of the asymptotic-estimation methods. The resulting compact formulas are absolutely free from nonphysical parameters and are convenient for deducing numerical estimates. It is shown that the total one-loop correction is independent of renormalization conditions and takes an identical value within different computational schemes.