Costs may also be taxed without notice. A party who has taxed costs without notice shall immediately serve a copy of the bill of costs upon each party who is entitled to notice under section 8402. Within five days after such service, any such party may serve notice of retaxation of costs upon five days' notice to the party who has taxed the costs, specifying the item as to which retaxation is sought.
N.Y. CPLR 8403