We present a study characterizing the properties of femtosecond laser nanosurgery applied to individual axons in live Caenorhabditis elegans (C. elegans) using nano-Joule laser pulses at 1 kHz repetition rate. Emphasis is placed on the characterization of the damage threshold, the extent of damage, and the statistical rates of axonal recovery as a function of laser parameters. The ablation threshold decreases with increasing number of pulses applied during nanoaxotomy. This dependency suggests the existence of an incubation effect. In terms of extent of damage, the energy per pulse is found to be a more critical parameter than the number of pulses. Axonal recovery improves when surgery is performed using a large number of low energy pulses.