Top: Kernel density function estimation for the averaged phase variances plotted in the bottom plot. The change in spread of the values is shown. Bottom: pseudo open-loop averaged wavefront phase variance compared to residual averaged wavefront phase variance for VLT/SPHERE, a batch s1t1 (i.e., idealised integrator for VLT/SPHERE), and a recursive s1t10 predictor. The points move from right to left, indicating that a s1t1 does better than VLT/SPHERE and a high order predictor does even better than the s1t1.