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The invention relates to improved methods for directed evolution of polymers, including directed evolution of nucleic acids and proteins. Specifically, the methods of the invention include analytical methods for identifying “structurally tolerant” residues of a polymer. Mutations of these, structurally tolerant residues are less likely to adversely affect desirable properties of a polymer sequence. The invention further provides improved methods for directed evolution wherein the structurally tolerant residues of a polymer are selectively mutated. Computer systems for implementing analytical methods of the invention are also provided.