We introduce a methodology for identifying transparency behavior appropriate for hierarchical test, based on the theoretical principles of transparency composition. Unlike high level approaches that identify limited, coarse transparency behavior, the proposed methodology is capable of extracting a wide class of fine grained transparency functions for arbitrary sub-word bit clusters. The functions in this class can furthermore be rapidly extracted on the fly and efficiently utilized for hierarchical test translation, thus alleviating the exponential extraction time and storage space requirements of exhaustive approaches. The twin benefits of rapid, automated extraction coupled with the expansion of utilizable transparency scope deliver reduced DFT while enabling cost-effective hierarchical test of high quality.