1. An integrated circuit (“IC”) comprising: a primary circuit structure for performing a set of operations that implement a user design, the primary circuit structure comprising a set of configurable circuits and a first interconnect network; and a secondary monitoring structure for monitoring a plurality of operations in said set of operations, said secondary monitoring structure comprising a second interconnect network that is separate from the first interconnect network, the second interconnect network communicatively coupled to a plurality of configurable circuits in the set of configurable circuits of the primary circuit structure and a set of analysis circuits for (i) analyzing the monitored operations and (ii) generating a set of data that describes the monitored operations, wherein the generated set of data is for indicating an occurrence of a trigger event, wherein said secondary monitoring structure is for modifying configurations of at least one configurable circuit of the set of configurable circuits of the primary circuit structure upon the occurrence of the trigger event.