  Within the optimization community, the question of how to generate new
optimization problems has been gaining traction in recent years. Within topics
such as instance space analysis (ISA), the generation of new problems can
provide new benchmarks which are not yet explored in existing research. Beyond
that, this function generation can also be exploited for solving complex
real-world optimization problems. By generating functions with similar
properties to the target problem, we can create a robust test set for algorithm
selection and configuration.
  However, the generation of functions with specific target properties remains
challenging. While features exist to capture low-level landscape properties,
they might not always capture the intended high-level features. We show that a
genetic programming (GP) approach guided by these exploratory landscape
analysis (ELA) properties is not always able to find satisfying functions. Our
results suggest that careful considerations of the weighting of landscape
properties, as well as the distance measure used, might be required to evolve
functions that are sufficiently representative to the target landscape.
