Distributions of semi-major axes (left panel) and eccentricity (right panel) of the final binary for the entire initial phase space (i.e. the one in Fig. 3). The colours indicate the identity of the escaped particle, while the dashed lines indicate the predictions of the statistical escape theory of Stone & Leigh (2019). Thin lines: considering all simulations. Thick lines: excluding the regular islands (f_col ≤ 2/3). In the left panel, we magnified the differences in semi-major axes distributions among different escaper by introducing different normalizations (×0.9 for red, ×3 for blue, ×20 for green). In the right panel, the analytic predictions for the eccentricity distributions for different escapers would be virtually identical, so we introduced different normalizations (×3 for blue, ×5 for green) to better distinguish the coloured lines.