  The evaluation of a tunneling tail by the Herman-Kluk method, which is a
quasiclassical way to compute quantum dynamics, is examined by asymptotic
analysis. In the shallower part of the tail, as well as in the classically
allowed region, it is shown that the leading terms of semiclassical evaluations
of quantum theory and the Herman-Kluk formula agree, which is known as an
asymptotic equivalence. In the deeper part, it is shown that the asymptotic
equivalence breaks down, due to the emergence of unusual "tunneling
trajectory", which is an artifact of the Herman-Kluk method.
