dovetail

In house-building it is further forbidden to dovetail or make the ends of the timbers (e.g. of the roof) fit accurately together, and also to build two verandahs, one on each side of the house, with their floors on a level with the floor of the main building; if two verandahs are used, the floor of one must be lower than that of the main building.

The parts of your essay should dovetail so that it is cohesive and coherent. (intransitive)

The precise way in which we dovetail the algorithms depends on whether our goal is time or query efficiency.