Comparison of StarHorse EDR3 distances with the EDR3 distances from Bailer-Jones et al. (2021) using 1 million random stars. Top panel: sky map showing the relative distance difference with respect to the geometric distances (computed using only the Gaia EDR3 parallaxes). Middle panel: same for the photo-geometric distances (using also the EDR3 photometry in the distance inference). Bottom panels: visual appearance of the Cartesian Galactic maps derived from the photo-geometric distances of Bailer-Jones et al. (2021) (left) and StarHorse (right) for the same random sample. In both bottom panels the contour lines are logarithmically spaced.