A computer data processing system includes an instruction pipeline having a front end and a back end, a decoding and dispatch unit to dispatch a current instruction; and a pipeline by-pass unit to invoke an out-of-order pipeline by-pass operation. The pipeline by-pass unit by-passes a section of the instruction pipeline such that the current instruction architecturally completes before initiating instruction execution. The computer data processing system further includes a post-completion execution unit that executes the current instruction after the current instruction architecturally completes.