Metrics to compare the performance of the Gaussian bias model to expansion biases. The top panel shows the Wasserstein distance between the actual and the modelled galaxy environment distribution (smaller is better), the central panel the normalised log likelihood (larger is better) and the bottom panel the amplitude of the first unmodelled term (closer to zero is better). Brighter solid lines show the quadratic bias model and darker solid lines the Gaussian bias. All metrics and selections show the Gaussian bias performing either similar to a quadratic model or significantly better.