Histogram showing the distribution of the entropy errors Δs^presc for the M13 prescription. The data plotted are the same as shown in Fig. 4, for all metallicities. In blue is shown the Δs^M13, o distribution corresponding to differences $s_{\mathrm{RHD}}^{\mathrm{CIFIST}}-s_{\mathrm{presc}}^{\mathrm{M}13,\mathrm{o}}$, where $s_{\mathrm{presc}}^{\mathrm{M}13,\mathrm{o}}$ represents the entropies predicted by the M13 prescription with original coefficients (taken from Magic et al. 2013). The Δs^M13, r distribution is shown in orange, corresponding to $s_{\mathrm{RHD}}^{\mathrm{CIFIST}}-s_{\mathrm{presc}}^{\mathrm{M}13,\mathrm{r}}$, where this last term represents the entropies obtained from the M13 prescription re-calibrated on the CIFIST grid (i.e., on the true entropies of the adiabats).