in response to a first instruction from among an instruction dispatch set meeting all register allocation suppression criteria of a set of register allocation suppression criteria, wherein the set of register allocation suppression criteria includes a requirement that the first instruction writes flags that are to be overwritten by one or more younger instructions of the instruction dispatch set, suppressing allocation of a flags register for the first instruction;

executing the first instruction that meets the set of register allocation suppression criteria, resulting in data being generated and stored in a data register; and

in response to a second instruction from among the instruction dispatch set not meeting all of the register allocation suppression criteria, allocating a flags register for the second instruction.