The article describes the synthesis of rules for estimation the stage of operation for the simplex invariant method.

Computational experiments were carried out on a non-stationary static model. Characteristics of the optimum search and tracking process were obtained. The characteristics were analyzed, which revealed some patterns. Based on the obtained patterns rules were developed that allow determining the stage of the search process: movement towards the optimum or its tracking.

In the conclusion, a summary of the conducted research is given. In conclusion, a generalization of the research is given.