The Reducer generalizes SMIRKS patterns by randomly attempting to remove decorators. The goal of this approach is to isolate which decorators are actually important for separating these clusters. However, the stochastic nature of this process means that rerunning the Reducer will result in different final SMIRKS patterns. We reduced the SMIRKS generated with SMIRKSifier 10 times using 1,000 iterations to explore the differences between reductions. Table shows two examples of reduced SMIRKS patterns for the angle fragment types which retain different combinations of decorators. This highlights the complexity of generating SMIRKS since there are countless combinations of hierarchical lists which could match the same input clustering. The set of fully specified SMIRKS patterns and the 10 reduction iterations for each fragment type are available in the supporting information.