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Table 4

R 2 and RMSE (in W m−1 K−1) values calculated for the different PySR-generated mixing rules when applied to SDB1 Training and Test sets.

Approach Strategy Iterations R2 (Training) RMSE (Training) R2 (Test) RMSE (Test)
Whole equation Basic 104 0.9881 0.002619 0.9766 0.003377
105 0.9880 0.002648 0.9773 0.003325
Guided 104 0.9882 0.003423 0.9763 0.003401
105 0.9889 0.002542 0.9725 0.003666
Shuffling 104 0.9799 0.005722 0.9766 0.003377
105 0.9801 0.003406 0.9775 0.003311
Rearrangement 104 0.9886 0.002584 0.9768 0.003360
105 0.9884 0.002601 0.9759 0.003431
Augmentation 104 0.9788 0.003516 0.9745 0.003526
105 0.9859 0.002872 0.9751 0.003486
Dev. to additivity Basic 104 0.9796 0.003447 0.9767 0.003375
105 0.9796 0.003446 0.9767 0.003374
Guided 104 0.9652 0.005432 0.9341 0.005672
105 0.9666 0.004414 0.9485 0.005015
Shuffling 104 0.9884 0.002602 0.9766 0.003377
105 0.9885 0.002585 0.9764 0.003391
Rearrangement 104 0.9886 0.002584 0.9764 0.003396
105 0.9886 0.002584 0.9764 0.003396
Augmentation 104 0.9807 0.003357 0.9761 0.003417
105 0.9859 0.002873 0.9750 0.003491
Filippov and Novoselova, equation (1), with α = 0.72 0.9771 0.003649 0.9736 0.003666
Filippov and Novoselova, equation (1), with α = 0.50 0.9805 0.003374 0.9764 0.003462
Jamieson and Irving, equation (2) 0.9788 0.003511 0.9749 0.003573

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