1. A method of operating a computational system that includes a plurality of processors each having an associated cache partitioned into lockstep and non-lockstep partitions, the method comprising: dynamically transitioning between a lockstep mode of operation and a non-lockstep mode of operation, wherein in the lockstep mode of operation, the plural processors each execute a same code sequence in temporal correspondence, and wherein in the non-lockstep mode of operation, the plural processors are capable of executing differing code sequences; in the non-lockstep mode, satisfying at least some load hits from the lockstep partition and at least some other load hits from the non-lockstep partition; and in the lockstep mode, satisfying load hits only from the lockstep partition.