  The factors that contribute to the accuracy of the cold field emission
current within the contemporary frameworks are investigated. It is found that
so long as the net current is evaluated using an expression for the local
current density obtained by linearizing the Gamow factor, the primary source of
error is the choice of the energy at which the Taylor expansion is done, but
not as much on the choice of the method used to arrive at the approximate Gamow
factor. A suitable choice of linearization energy and the implementation of the
Kemble correction, allows the restriction of errors to below 3\% across a wide
range of local fields.
