Examples of the residence time (bottom panel), Δτ_c, per log₁₀ orbital frequency bin are shown for three binaries from the HORIZON-AGN catalog, with chirp masses of 10⁷, 10⁸, and 10⁹ M_⊙. We also show their respective eccentricity evolution in the top panel. Eccentric systems are more efficient in dissipating the energy through GWs and this can be seen in the residence time (low panel) as compared to (nearly) circular binaries. The evolution of binaries at high frequencies (starting from a few nHz) is determined by the gravitational radiation, which is more efficient in energy dissipation for heavy and eccentric binaries. We also observe a fast circularization of eccentric systems in the top panel.