We present tests of the recent M11plus exchange-correlation density functional for a large set of main-group and transition-metal-chemistry databases, none of which were used in the construction of any of the Minnesota functionals. M11plus is a range-separated-hybrid meta functional combining long-range nonlocal Hartree-Fock exchange with nonlocal rung-3.5 correlation. M11plus performs well for main-group thermochemistry, kinetics, and noncovalent interactions; it is numerically well behaved; it has computational cost ~1.2-1.5 that of M11 in realistic calculations; and it is particularly accurate for triplet excited states, which are a difficult challenge for density functional approximations. The results show that nonlocal rung-3.5 correlation is a broadly useful ingredient for improving the performance of density functional approximations.