This document presents a new technique for measuring precision between process models and event logs. It avoids complete state space exploration by using a log-guided traversal of the model. Precision is measured based on "escaping edges" where the model allows behavior not present in the log. Minimal disconformant traces are also computed to locate precision inconsistencies. The approach is implemented in a ProM plug-in and extensions are discussed, such as handling invisible tasks, duplicate tasks, and refining models based on precision results.