abstract = "The balance between approximation error and model
complexity is an important trade-off for Symbolic
Regression algorithms. This trade-off is achieved by
means of specific operators for bloat control, modified
operators, limits to the size of the generated
expressions and multi-objective optimization. Recently,
the representation Interaction-Transformation was
introduced with the goal of limiting the search space
to simpler expressions, thus avoiding bloating. This
representation was used in the context of an
Evolutionary Algorithm in order to find concise
expressions resulting in small approximation errors
competitive with the literature. Particular to this
algorithm, two parameters control the complexity of the
generated expression. This paper investigates the
influence of those parameters w.r.t. the
goodness-of-fit. Through some extensive experiments, we
find that the maximum number of terms is more important
to control goodness-of-fit but also that there is a
limit to the extent that increasing its value renders
any benefits. Second, the limit to the minimum and
maximum value of the exponent has a smaller influence
to the results and it can be set to a default value
without impacting the final results.",