Top panel: differential completeness as a function of (Y₅₀₀,θ₅₀₀) for each detection algorithm (MMF1 in blue, MMF3 in red, and PwS in green) and for the union (shaded area) and intersection (black) catalogues. From bottom to top, the solid, dashed, and dotted lines show 15%, 50% and 85% completeness, respectively. Bottom panel: slices through the MCQA-based completeness function at various θ₅₀₀ for MMF3 compared to the error function approximation (solid curves).