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. Author manuscript; available in PMC: 2024 May 7.
Published in final edited form as: Adv Neural Inf Process Syst. 2021 Dec;2021(DB1):1–16.

Table 5:

Part 1: SR methods and the hyperparameter spaces used in tuning on the black-box regression problems.

Method Hyperparameters
AFP {‘popsize’: 100, ‘g’: 2500, ‘op_list’: [‘n’, ‘v’, ‘+’, ‘-’, ‘*’, ‘/’, ‘exp’, ‘log’, ‘2’, ‘3’, ‘sqrt’]}
{‘popsize’: 100, ‘g’: 2500, ‘op_list’: [‘n’, ‘v’, ‘+’, ‘-’, ‘*’, ‘/’, ‘exp’, ‘log’, ‘2’, ‘3’, ‘sqrt’,
‘sin’, ‘cos’]}
{‘popsize’: 500, ‘g’: 500, ‘op_list’: [‘n’, ‘v’, ‘+’, ‘-’, ‘*’, ‘/’, ‘exp’, ‘log’, ‘2’, ‘3’, ‘sqrt’]}
{‘popsize’: 500, ‘g’: 500, ‘op_list’: [‘n’, ‘v’, ‘+’, ‘-’, ‘*’, ‘/’, ‘exp’, ‘log’, ‘2’, ‘3’, ‘sqrt’,
‘sin’, ‘cos’]}
{‘popsize’: 1000, ‘g’: 250, ‘op_list’: [‘n’, ‘v’, ‘+’, ‘-’, ‘*’, ‘/’, ‘exp’, ‘log’, ‘2’, ‘3’, ‘sqrt’]}
{‘popsize’: 1000, ‘g’: 250, ‘op_list’: [‘n’, ‘v’, ‘+’, ‘-’, ‘*’, ‘/’, ‘exp’, ‘log’, ‘2’, ‘3’, ‘sqrt’, ‘sin’, ‘cos’]}
AIFeynman {‘BF_try_time’: 60, ‘NN_epochs’: 4000, ‘BF_ops_file_type’=“10ops.txt”}
{‘BF_try_time’: 60, ‘NN_epochs’: 4000, ‘BF_ops_file_type’=“14ops.txt”}
{‘BF_try_time’: 60, ‘NN_epochs’: 4000, ‘BF_ops_file_type’=“19ops.txt”}
{‘BF_try_time’: 600, ‘NN_epochs’: 400, ‘BF_ops_file_type’=“10ops.txt”}
{‘BF_try_time’: 600, ‘NN_epochs’: 400, ‘BF_ops_file_type’=“14ops.txt”}
{‘BF_try_time’: 600, ‘NN_epochs’: 400, ‘BF_ops_file_type’=“19ops.txt”}</di>
BSR {‘treeNum’: 6, ‘itrNum’: 500, ‘val’: 1000}
{‘treeNum’: 6, ‘itrNum’: 1000, ‘val’: 500}
{‘treeNum’: 3, ‘itrNum’: 500, ‘val’: 1000}
{‘treeNum’: 6, ‘itrNum’: 5000, ‘val’: 100}
{‘treeNum’: 3, ‘itrNum’: 5000, ‘val’: 100}
{‘treeNum’: 3, ‘itrNum’: 1000, ‘val’: 500}
DSR {‘batch_size’: array([ 10, 100, 1000, 10000, 100000])}
EPLEX {‘popsize’: 1000, ‘g’: 250, ‘op_list’: [‘n’, ‘v’, ‘+’, ‘-’, ‘*’, ‘/’, ‘exp’, ‘log’, ‘2’, ‘3’, ‘sqrt’]}
{‘popsize’: 500, ‘g’: 500, ‘op_list’: [‘n’, ‘v’, ‘+’, ‘-’, ‘*’, ‘/’, ‘exp’, ‘log’, ‘2’, ‘3’, ‘sqrt’]}
{‘popsize’: 1000, ‘g’: 250, ‘op_list’: [‘n’, ‘v’, ‘+’, ‘-’, ‘*’, ‘/’, ‘sin’, ‘cos’, ‘exp’, ‘log’, ‘2’,
‘3’, ‘sqrt’]}
{‘popsize’: 100, ‘g’: 2500, ‘op_list’: [‘n’, ‘v’, ‘+’, ‘-’, ‘*’, ‘/’, ‘exp’, ‘log’, ‘2’, ‘3’, ‘sqrt’]}
{‘popsize’: 100, ‘g’: 2500, ‘op_list’: [‘n’, ‘v’, ‘+’, ‘-’, ‘*’, ‘/’, ‘sin’, ‘cos’, ‘exp’, ‘log’, ‘2’,
‘3’, ‘sqrt’]}
{‘popsize’: 500, ‘g’: 500, ‘op_list’: [‘n’, ‘v’, ‘+’, ‘-’, ‘*’, ‘/’, ‘sin’, ‘cos’, ‘exp’, ‘log’, ‘2’, ‘3’, ‘sqrt’]}
FEAT {‘pop_size’: 100, ‘gens’: 2500, ‘lr’: 0.1}
{‘pop_size’: 100, ‘gens’: 2500, ‘lr’: 0.3}
{‘pop_size’: 500, ‘gens’: 500, ‘lr’: 0.1}
{‘pop_size’: 500, ‘gens’: 500, ‘lr’: 0.3}
{‘pop_size’: 1000, ‘gens’: 250, ‘lr’: 0.1}
{‘pop_size’: 1000, ‘gens’: 250, ‘lr’: 0.3}
FE_AFP {‘popsize’: 1000, ‘g’: 250, ‘op_list’: [‘n’, ‘v’, ‘+’, ‘-’, ‘*’, ‘/’, ‘sin’, ‘cos’, ‘exp’, ‘log’, ‘2’,
‘3’, ‘sqrt’]}
{‘popsize’: 500, ‘g’: 500, ‘op_list’: [‘n’, ‘v’, ‘+’, ‘-’, ‘*’, ‘/’, ‘exp’, ‘log’, ‘2’, ‘3’, ‘sqrt’]}
{‘popsize’: 1000, ‘g’: 250, ‘op_list’: [‘n’, ‘v’, ‘+’, ‘-’, ‘*’, ‘/’, ‘exp’, ‘log’, ‘2’, ‘3’, ‘sqrt’]}
{‘popsize’: 100, ‘g’: 2500, ‘op_list’: [‘n’, ‘v’, ‘+’, ‘-’, ‘*’, ‘/’, ‘exp’, ‘log’, ‘2’, ‘3’, ‘sqrt’]}
{‘popsize’: 100, ‘g’: 2500, ‘op_list’: [‘n’, ‘v’, ‘+’, ‘-’, ‘*’, ‘/’, ‘sin’, ‘cos’, ‘exp’, ‘log’, ‘2’,
‘3’, ‘sqrt’]}
{‘popsize’: 500, ‘g’: 500, ‘op_list’: [‘n’, ‘v’, ‘+’, ‘-’, ‘*’, ‘/’, ‘sin’, ‘cos’, ‘exp’, ‘log’, ‘2’, ‘3’, ‘sqrt’]}