An instruction to perform a function of a plurality of functions is obtained. The instruction is a single architected instruction of an instruction set architecture that complies to an industry standard for compression. The instruction is executed, and the executing includes performing the function specified by the instruction. The performing includes, based on the function being a compression function or a decompression function, transforming state of input data between an uncompressed form of the input data and a compressed form of the input data to provide a transformed state of data accessing. During performing the function, history relating to the function is accessed. The history is to be used in transforming the state of input data between the uncompressed form and the compressed form.