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An engine head cover gasket in automobile engines is constantly exposed to high temperature and pressure conditions. The life time of an engine head cover gasket is important due to the increasing demand for more reliable automobile parts. The main failure mechanism of rubber gaskets, which is the aging due to temperature, can be determined using standard test equipment. The highly accelerated life test (HALT) is generally used for predicting the life time of rubber materials for a long period. Polyacrylate (ACM) with chlorine cure sites has been generally used for engine head gaskets. In order to improve the life time of such gaskets, ACM with carboxyl cure sites has been developed recently. In this study, we applied a mathematical model to obtain the recovery function of a rubber gasket, and utilized the FORTRAN program in order to obtain the optimized recovery function by using the successive zooming genetic algorithm (SZGA). Comparisons of the mean squared error (MSE) between the function data and the experimental data have been made. The life times of ACM with carboxyl cure sites rubber gaskets for different compression rates were obtained using the Arrhenius model. More accurate quantitative predictions considering the maximum compression rate would be realized.