A method, system, and program product for saving a state of a task and executing the task by processors such that following the termination of execution of the first task in a first processor, at least a portion of a state of the first task is maintained in registers of the first processor until the first processor executes a second task. Prior to executing the first task on the second processor, a determination is made as to whether the state of the first task is at least partially stored in the registers of another processor, such as the first processor. If the state of the first task is at least partially stored in the registers of the first processor, then contents of said registers in the first processor are stored into a memory system. Thereafter, the first task is executed in the second processor.