  This paper describes a procedure for a realistic estimation of the number of
iterations in the main loop of a recent particle detection algorithm from [1].
The calculations are based on a Monte Carlo simulation of the ATLAS inner
detector. The resulting estimates of numerical complexity suggest that using
the procedure from [1] for online triggering is not feasible. There are however
some areas, such as triggering for particles in a specific sub-domain of the
phase space, where using this procedure might be beneficial.
