Abstract: A connection request is received from a debug UI by a middle tier instance through a first predefined computer port. A connection data request is received from the debug UI by the middle tier instance. Connection data for a debug engine is sent from the middle tier instance to the debug UI and provided to the debug engine from the debug UI. The connection data includes a second predefined computer port of the first computing device. An initial packet is received by the middle tier instance from the debug engine through the second predefined computer port. A unique engine identifier is defined for the debug engine by the middle tier instance and an engine connection confirmation is sent from the middle tier instance to the debug UI indicating that a connection with the debug engine has been established and including the unique engine identifier for the debug engine.

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.