Abstract: A computing device identifies and eliminates unneeded computations from an analytic computation. A symmetric matrix includes a row and a column for each of a set of partial derivative equations where each cell includes an indicator of whether or not a direct dependency exists and is updated to include an indicator of whether or not an indirect dependency exists. A solution row is identified from the symmetric matrix that includes a requested partial derivative. A cell is identified of the identified solution row that does not include the indicator that the direct or indirect dependency exists. The column is identified from the symmetric matrix that includes the identified cell. The partial derivative equation associated with the identified column is removed from the defined set of partial derivative equations to reduce a computer processing time to compute a derivative value for the requested partial derivative.