Branched chain isomerizable network allows polymers to be programmed into a variety of branched chain distribution (P i ) and branch chain uniformity (α) that are challenging to characterize experimentally, leading to difficulties in establishing structure−property relationships. We employ coarsegrained molecular dynamics (CGMD) simulations to demonstrate the equivalence principle for bond exchange reactions (BERs) and propose a theoretical model to describe the P i and α dynamics under BERs. The theoretical model accurately characterizes the intricate time evolution of P i and α by relying solely on BER rates and initial configurations, enabling precise control of P i and α. Furthermore, a concise equation is proposed to describe the P i and α of the BER equilibrium state, revealing the geometric distribution of branched chain, which overthrows the conventional understanding that it obeys a uniform distribution. Finally, taking the example of α modulating the toughness, we illustrate how the proposed theoretical model allows for the establishment of structure−property relationships. Overall, this work addresses the challenge of experimentally characterizing P i and α, and introduces a novel research paradigm for establishing structure−property relationships.