  Ultra Fast Astronomy is a new frontier becoming enabled by improved detector
technology allowing discovery of optical transients on millisecond to
nanosecond time scales. These may reveal counterparts of energetic processes
such as fast radio bursts, gamma ray bursts, gravitational wave events, or play
a role in the optical search for extraterrestrial intelligence (oSETI). We
explore three science cases and their optimization under constrained resources,
basically how to distribute observations along the spectrum of short duration
searches of many targets or long searches over fewer targets. We present some
analytic and some numerical optimizations, of both raw detections and science
characterization such as a Fisher information analysis of constraining a burst
delay - flash duration relation.
