Evolution within for an optimized cooling with initial of (a) effective and (b) instantaneous controls (1 red, 2 green, and 3 blue graphs show , , and component), (c) ground state overlap of the system state, and (d) linear entropy (upper red, middle green, and lower blue graphs show numerical integration of the time-convolutionless equation [191], of the Nakajima-Zwanzig equation, and second-order approximation of the solution as given in (192), respectively, which are all indistinguishable in (c)) (system-bath coupling strength , , in units of effective bath correlation time, ) (color online).