A query processing system applies transforms to convert a collection of predicate statements to two parts, a matrix and a set of reduced predicate statements, and evaluates the matrix and reduced predicate statements when querying data. The query processing system applies the transforms to extract conjunctive predicates or disjunctive predicates from the predicate statements to provide the set of reduced predicate statements and generates the matrix using the extracted conjunctive predicates or disjunctive predicates. When data is received for querying, the query processing system evaluates the matrix and reduced predicate statements for the data to provide search results. The query processing system may first identify candidate predicate statements that may be satisfied for the data from the matrix and then evaluates the reduced predicate statements for those candidate predicate statements.