Single Program, Multiple Data (SPMD) parallel processing of SPMD instructions can be generated among processors assigned to a task in a plurality of threads. The SPMD parallel processing can be increased in speed by performing predicated looping with the SPMD instructions in an activated SPMD mode of operation over a non-SPMD mode. Execution of overhead instructions is removed from the SPMD instructions associated with a thread in order to only execute the loop body of a loop associated with a data element of a data set in an enhanced Zero Loop Overhead (ZOL) device.