Embodiments include a method for chaining data in an exposed-pipeline processing element. The method includes separating a multiple instruction word into a first sub-instruction and a second sub-instruction, receiving the first sub-instruction and the second sub-instruction in the exposed-pipeline processing element. The method also includes issuing the first sub-instruction at a first time, issuing the second sub-instruction at a second time different than the first time, the second time being offset to account for a dependency of the second sub-instruction on a first result from the first sub-instruction, the first pipeline performing the first sub-instruction at a first clock cycle and communicating the first result from performing the first sub-instruction to a chaining bus coupled to the first pipeline and a second pipeline, the communicating at a second clock cycle subsequent to the first clock cycle that corresponds to a total number of latch pipeline stages in the first pipeline.