Before revision:  Always returning the shorter path compared with the Euclidean approximation yielded by Anya, Spherical Anya is additionally shown to be faster than Anya for the majority of routes, due to the wider field of vision provided by cone projections in Spherical geometry .
After revision:  Always returning the shorter path compared with the Euclidean approximation yielded by Anya, Spherical Anya is additionally shown to be faster than Anya for the majority of sea routes and slower for Game Maps and Random Maps .