An inexact query transformation system selects a query element from a query statement. If an inexact transformation improves the query performance, the system prioritizes the candidate transformation rules applicable to the selected query element. The system applies the candidate transformation rules to the selected query element to generate a transformed query element that includes a transformed remote query element. If the transformed remote query element is pushdownable, the system adds the transformed remote query element to a transformed inexact query output. Otherwise, the system applies additional candidate transformation rules to the selected query element to generate the transformed inexact query output. The system applies the transformed inexact query output to a heterogeneous datastore to provide an output query result.