An apparatus comprises a processing pipeline comprising out-of-order execution circuitry and second execution circuitry. Control circuitry monitors at least one reordering metric indicative of an extent to which instructions are executed out of order by the out-of-order execution circuitry, and controls whether instructions are executed using the out-of-order execution circuitry or the second execution circuitry based on the reordering metric. A speculation metric indicative of a fraction of executed instructions that are flushed due to a mis-speculation can also be used to determine whether to execute instructions on first or second execution circuitry having different performance or energy consumption characteristics.