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A recent modification, r$^2$SCAN, of the SCAN (strongly constrained andappropriately normed) meta-GGA exchange-correlation functional mostlyeliminates numerical instabilities and attendant integration grid sensitivitiesexhibited by SCAN. Here we show that the successful deorbitalization of SCAN toSCAN-L (SCAN with density Laplacian dependence) carries over directly to yieldr$^2$SCAN-L. A major benefit is that the high iteration counts that hindereduse of SCAN-L are eliminated in r$^2$SCAN-L. It therefore is a computationallymuch faster meta-GGA than its orbital-dependent antecedent. Validation data formolecular heats of formation, bond lengths, and vibration frequencies (G3/99X,T96-R, T82-F test sets respectively) and on lattice constants, and cohesiveenergies (for 55 solids) and bulk moduli (for 40 solids) are provided. Inaddition, we show that the over-magnetization of bcc Fe from SCAN persists inr$^2$SCAN but does not appear in r$^2$SCAN-L, just as with SCAN-L.

Meta-GGA Performance in Solids at Almost GGA Cost