StarHorse formal output uncertainties. Top row: uncertainties in distance (relative distance uncertainty; left), extinction (middle), and effective temperature (right) as a function of G magnitude. In each top panel we show two-dimensional histograms of a random sample of 1 million Gaia EDR3 stars in orange, along with the running median smoothed by an Epanechnikov kernel (width = 0.2; thick red line). For comparison we also show the corresponding values obtained from the (unfiltered) Gaia DR2 run A19 in black, as well as the results from Bailer-Jones et al. (2021) for distances, from Andrae et al. (2018) and Bai et al. (2020) for extinctions, and from Andrae et al. (2018) and Bai et al. (2019) for effective temperatures. Bottom row: median formal output uncertainties as a function of Galactic position for the same random sample.