In one embodiment, the present invention includes a multicore processor having first and second cores to independently execute instructions, the first core visible to an operating system (OS) and the second core transparent to the OS and heterogeneous from the first core. A task controller, which may be included in or coupled to the multicore processor, can cause dynamic migration of a first process scheduled by the OS to the first core to the second core transparently to the OS. Other embodiments are described and claimed.