Removes ADP-ribose from aspartate and glutamate residues in proteins bearing a single ADP-ribose moiety (PubMed:23474714, PubMed:23474712). Inactive towards proteins bearing poly-ADP-ribose (PubMed:23474714, PubMed:23474712). Catalyzes removal of a phosphate group from ADP-ribose 1''-phosphate (Appr1p), but with low efficiency (PubMed:15902274). 5-O-(ADP-D-ribosyl)-L-glutamyl-[protein] + H2O = ADP-D-ribose + H(+) + L-glutamyl-[protein] 4-O-(ADP-D-ribosyl)-L-aspartyl-[protein] + H2O = ADP-D-ribose + H(+) + L-aspartyl-[protein] alpha-NAD(+) + H2O = ADP-D-ribose + H(+) + nicotinamide