An apparatus is provided for processing data under control of a program having program instructions and subgraph suggestion information identifying respective sequences of program instructions corresponding to computational subgraphs identified within the program. A memory stores a program formed of separate program instructions. Processing logic executes respective separate program instructions from said program. Accelerator logic, in response to reaching an execution point within the program associated with a subgraph suggestion, executes a sequence of program instructions corresponding to the subgraph suggestion as an accelerated operation instead of executing the sequence of program instructions as respective separate program instructions with the processing logic.