Purity as a function of completeness, given for all cluster finder catalogs as a function of the ranking of the detections. As the number of considered detections above a given rank increases, the detection properties evolve from the high purity low completeness regime to the low purity high completeness regime. The dots provide the percentage of considered detections at a given coordinate on the curve, the total number of detections being given in the legend for each finder. The top panel only accounts for mock clusters in the range z_true <  2 and M >  10¹⁴ M_⊙ when computing the completeness. For illustration, we also provide the same figure in the range z_true <  1 and 1 <  z_true <  2 in the bottom panels.