Evaluation information of a temporal description is displayed by: structuring data structures into a logical tree structure that is representative of the hierarchy of the temporal expressions, with each tree node representing a temporal primitive operator, and a unique index assigned to each primitive; evaluating the temporal expression, and recording the evaluation trace information that contains the corresponding unique index to the primitive node, the evaluation time stamp, and other information of the evaluation; and selectively displaying an evaluation sequence of the selected result at any level, including from the top of the tree structure of the temporal evaluation in order to show the evaluation history of the selected result at a lower level of the expression tree, where the selection methods include a graphical interface on the screen to select a child expression at a given tree level.