Tested across 5 physics domains (Navier-Stokes, Gray-Scott, NLS, CGLE, Kuramoto-Sivashinsky). The LLM discovered super-Peregrine rogue waves, a two-regime chaos transition, and a fundamental attractor ceiling — things a naive grid search would unlikely find. 7-24x score improvements in 33-98 experiments per domain, on a single-core VPS.