Cumulative number of tidal disruption events (TDEs), captured extreme-mass-ratio inspirals (EMRIs), and two-body binaries (2-body). Left: the cumulative numbers for the simulations of Figure 2. The inset shows the rates as a function of time, with the same x-axis as in the main plot. Right: correspondingly for the simulations of Figure 4. The cumulative number of three-body binaries is less than unity in both cases.