1. A method for providing rollback support in an exposed-pipeline processing element, the method comprising: detecting, by rollback support logic, an error associated with execution of an instruction in the exposed-pipeline processing element; determining, by the rollback support logic, whether the exposed-pipeline processing element supports replay of the instruction for a predetermined number of cycles; and based on determining that the exposed-pipeline processing element supports replay of the instruction, performing a rollback action in the exposed-pipeline processing element to attempt recovery from the error.