A primary interval for convergence of at least one power series in a transcendental function is interpolated, while selecting a number of one or more interpolation points for a truncated expansion of the at least one power series by a selected order of truncation. A function and at least one derivative of the function of the truncated expansion of the selected order of truncation is evaluated at the one or more interpolation points. Each separate value evaluated for the function and each of the at least one derivative is saved in a table, wherein the table is looked up for efficiently computing a result of the truncated expansion of the at least one power series.

A primary interval for convergence of at least one power series in a transcendental function is interpolated; while selecting a number of interpolation points for a truncated expansion of power series by a selected order of truncation. A function and at least one derivative of the function of the truncated expansion of the selected order of truncation is evaluated at the interpolation points by computing a set of scaled values for convergence boundaries of the truncated expansion for a total number of values to be stored in the table; for each index value up to a value of the number of the interpolation points, evaluating the function and the derivative of the function of the truncated expansion converging in the set of scaled values to compute separate constant values for the primary function and each at least one derivative; and for each index value, adding each separate constant value to the table with a separate index value. Each separate value evaluated for the function and each derivative is saved in a table, wherein the table is looked up for efficiently computing a result of the truncated expansion of the at least one power series.

A primary interval for convergence of at least one power series in a transcendental function is interpolated, while selecting a number of one or more interpolation points for a truncated expansion of the at least one power series by a selected order of truncation. A function and at least one derivative of the function of the truncated expansion of the selected order of truncation is evaluated at the one or more interpolation points. Each separate value evaluated for the function and each of the at least one derivative is saved in a table, wherein the table is looked up for efficiently computing a result of the truncated expansion of the at least one power series.