Fig. 3. High prevalence of redundancy.

The empirical distribution of the redundancy, measured by the number of symmetry groups (y axis), is computed for all identified update rules (blue), stratified by the number of essential inputs (x axis). For comparison, the expected distribution of the number of symmetry groups for random Boolean functions with 1 to 10 essential inputs is included (green), as well as the expected distribution for random Boolean functions with the same canalizing depth distribution as observed update rules (orange), as shown in Fig. 2A. Each expected distribution was generated using 1000 random functions. Figure S3 contains the explicit values of each distribution.