Combining distribution and similarity matrix (Figure ) can provide more information, for example showing how rcamB3LYP, ωB97X-V, PBE50, and BHHLYP show a similar distribution of scores, while totally different from the one of HFLYP, which on the other side has very few scores higher than 60, but still performing the best in more than a thousand cases, showing how the 100% of Hartree-Fock (HF) exact exchange can perform better on the subset of molecules where long-range corrected and partial HF differ the most from ADC . Comparing the pairwise similarity of the scores of the functional along the dataset also shows that performances are in line with Jacob's Ladder and that families of functionals perform similarly (Figure ). The similarity matrix can be extremely useful to extrapolate information beyond the set of functionals tested here, where the computational chemistry intuition combined with the performances of a set of functionals, can drive the choice of a functional out of this list, but with parameters that would fit with the best-performing ones or their family. For this reason we make this analysis available in the web application (Section 5). Indeed, we here reported only a few possible examples of analysis, but we generated a big amount of data that we made available with a set of analysis and visualization tools on a web application, which is described in details in Section 5, that allow a customized and more in-depth interpretation of these data. To validate the choiches of the parameters we used, we tried some different combinations of the scoring system. First of all, we didn't include the TDM in the calculation. In this case, for 97% of the molecules the top functional is matching with the one obtained with the full scoring system. This drop to 75% when we included entirely the difference in energy, but this is due to a over-penalization of the score of a state that set to zero the associated partial score. Finally, we analyzed the effect of not penalizing states according to the overlap element, and this led to the opposite effect of high scores by not penalizing states that are similar in energy but notably with different character. In conclusion, the definition of our system is reasonable for the scope of this work, generating a balanced score, that reflects literature benchmarks and provide a range of values that can be learnt by our GAT.