Heuristics rhymes with:
ballistics, characteristics, criminalistics, linguistics, logistics, mystics, statistics, statistics', acoustics, agnostics, ballistics, characteristics, criminalistics, diagnostics, domestics, gymnastics, linguistics, logistics, mystics, onomastics, plastics, statistics, statistics', thermoplastics
Heuristics sounds like:
haircuts, hearst's, hershkowitz, herskowitz, heuristic, hirst's