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Furthermore, the functional set and the operational parameters applied in the proposed GEP models are presented in Table 3. For prediction of the scour depth around bridge piers with debris accumulation, the best individual in each generation includes 30 chromosomes and fitness values of 633.68. The best formulations of the GEP model for evaluation of the local scour depth with debris accumulation, as a function of , , , , , , and are expressed as:
formula
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Table 3

Parameters of the optimized GEP model

ParameterDescription of parameterSetting of parameter
P1 Function set +, − , × , /, exp, power 
P2 Mutation rate 0.138 
P3 Inversion rate 0.546 
P4 One point and two point recombination rate, respectively (%) 0.277 
P5 Gene recombination rate 0.277 
P6 Gene transportation rate 0.277 
P7 Maximum tree depth 
P8 Number of gene 
P9 Number of chromosomes 30 
ParameterDescription of parameterSetting of parameter
P1 Function set +, − , × , /, exp, power 
P2 Mutation rate 0.138 
P3 Inversion rate 0.546 
P4 One point and two point recombination rate, respectively (%) 0.277 
P5 Gene recombination rate 0.277 
P6 Gene transportation rate 0.277 
P7 Maximum tree depth 
P8 Number of gene 
P9 Number of chromosomes 30 
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