DASyR-LLM embeds a large language model inside an iterative symbolic regression algorithm to discover kinetic models. At each iteration the LLM critiques candidate rate expressions on physicochemical grounds and proposes new ones, cutting the number of iterations needed to find the true model by 42–79% compared with a state-of-the-art symbolic regression method across four case studies in catalysis and bioprocessing. Because each iteration typically corresponds to a new experiment, this could substantially reduce experimental effort.