Search completeness as a function of the pseudo-luminosity L_pseudo = S​_mind². The cumulative distribution of L_pseudo for three (sub)sets of pulsars in the ATNF catalog are shown: all (blue), MSPs (P < 20 ms; purple), and recycled pulsars in relativistic DNS systems (black). To estimate the L_pseudo of the companion, we used the HI-absorption derived distance (7.4 kpc), we assumed an intrinsic W₅₀/P of 0.10, and we considered the most (red) and least (gray) sensitive observations. For recycled pulsars in relativistic DNS systems, our search is 100% complete. For the general pulsar population, our search completeness exceeds 90%.