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Energy differences between frozen core and all electrons correlated.
MP2, MP3, MP4, B2PLYP, CCSD, and CCSD(T)

For BeCO3 (Beryllium Carbonate)

Energies in Hartree
Methods with standard basis sets
STO-3G 3-21G 3-21G* 6-31G 6-31G* 6-31G** 6-31+G** 6-311G* 6-311G** 6-31G(2df,p) TZVP cc-pVDZ cc-pVTZ aug-cc-pVDZ aug-cc-pVTZ
Moller Plesset perturbation MP2=FULL -0.001169 -0.008020 -0.008020 -0.005543 -0.018579 -0.018579 -0.019715 -0.090756 -0.090756 -0.040335 -0.082119 -0.010660 -0.068120 -0.015421 -0.079466
MP3=FULL         -0.018189   -0.019353       -0.085640 -0.009991 -0.069790    
MP4=FULL   -0.007684     -0.018336       -0.094318     -0.010009 -0.069912 -0.014909 -0.082315
B2PLYP=FULL -0.000363 -0.002384 -0.002384 -0.001656 -0.005535 -0.005535 -0.005870 -0.025868 -0.025868 -0.011776 -0.023414 -0.003163 -0.019790 -0.004638 -0.023049
Quadratic configuration interaction QCISD(T)=FULL         -0.018280             -0.009964 -0.069948 -0.014907 -0.082391
Coupled Cluster CCSD=FULL         -0.018081         -0.040920 -0.085660 -0.009837 -0.069432 -0.014864 -0.081881
CCSD(T)=FULL         -0.018286           -0.086084 -0.009966 -0.069976 -0.014925 -0.082421
STO-3G 3-21G 3-21G* 6-31G 6-31G* 6-31G** 6-31+G** 6-311G* 6-311G** 6-31G(2df,p) TZVP cc-pVDZ cc-pVTZ aug-cc-pVDZ aug-cc-pVTZ