We present a common framework for nonlinear generalizations of regular Dirichlet forms, applicable both to $p$-energy forms on fractals and to symmetric nonlinear Dirichlet forms in the sense of Cipriani and Grillo; our framework does not require strong locality or $p$-homogeneity. For each energy in this framework, we establish the existence of a largest strongly local part and construct energy measures associated with this part. We also obtain detailed chain rules under suitable inequalities for the energies. This talk is based on a forthcoming arXiv preprint that substantially extends the results of Sasaya (JFA, 2026).