  We present the results of neutron detection in a laser plasma experiment with
a CD$_2$ nanowire target. A hybrid semiconductor pixel detector Timepix3
covered with neutron converters was used for the detection of neutrons. D-D
fusion neutrons were detected in a polyethylene converter through recoiled
protons. Both the energy of recoiled protons and the time-of-flight of neutrons
(and thus their energy) were determined. We report $(2.4 \pm 1.8) \times 10^7$
neutrons generated for 1~J of incoming laser energy. Furthermore, we proved
that Timepix3 is suitable for difficult operational conditions in laser
experiments.
