  There are several unexplored regions of the short-duration radio transient
phase space. One such unexplored region is the luminosity gap between giant
pulses (from pulsars) and cosmologically located fast radio bursts (FRBs). The
Survey for Transient Astronomical Radio Emission 2 (STARE2) is a search for
such transients out to 7 Mpc. STARE2 has a field of view of 3.6 steradians and
is sensitive to one-millisecond transients above $\sim300$ kJy. With a
two-station system we have detected and localized a solar burst, demonstrating
that the pilot system is capable of detecting short duration radio transients.
We found no convincing transients with duration between 65 $\mu$s and 34 ms in
200 days of observing, limiting with 95% confidence the all-sky rate of
transients above $\sim300$ kJy to $< 40$ ${\rm sky^{-1} year^{-1}}$. If the
luminosity function of FRBs could be extrapolated down to 300 kJy for a
distance of 10 kpc, then one would expect the rate to be $\sim2$ ${\rm sky^{-1}
year^{-1}}$.
