Benchmarks that span a broad swath of chemical space, such as GMTKN55, are
very useful for assessing progress in the quest for more universal DFT
functionals. We find that the WTMAD2 metrics for a great number of functionals
show a clear "Jacob's Ladder hierarchy"; that the "combinatorial" development
strategy of Head-Gordon and coworkers generates "best on rung" performers; that
the quality of the nonlocal dispersion correction becomes more important as
functionals become more accurate for nondispersion properties; that fitting
against small, unrepresentative benchmark sets leads to underperforming
functionals; and that {\omega}B97M(2) is currently the best DFT functional of
any kind, but that revDSD-D4 functionals are able to reach similar performance
using fewer parameters, and that revDOD-D4 in addition permits reduced-scaling
algorithms. If one seeks a range-separated hybrid (RSH) GGA that also performs
well for optical excitation energies, CAM-QTP-01 may be a viable option. The D4
dispersion model, with its partial charge dependence, appears to be clearly
superior to D3BJ and even possibly NL. Should one require a double hybrid
without dispersion model, noDispSD-SCAN is a viable option. Performance for the
MOBH35 transition metal benchmark is different: the best double hybrids are
competitive but not superior to {\omega}B97M-V, which offers the best
performance compromise for mixed main group-transition metal problems.Comment: 5 pages (ICCMSE-2019 conference proceedings), AIP Conference
Proceedings, in pres