Scouring around abutments and pier is a significant problem for bridges failure. The main objective of this study was the estimation of a predictor of time to equilibrium for long abutments (y/L< 1) on the basis of Genetic programming (GP). An important number of experiments with long-lasting were used for GP modeling technics. All experiments were run under clear-water flow conditions and different sediments size. The main independent parameter selected after a sensitivity analysis to found best equation by GP. The performance of GP was found to be more effective when compared with other equations.