Constraints on the wCDM parameter space as found in the LSST Y10 survey setup. We compare the constraints obtained with the GNLL compression (green contours) and MSE compression (yellow contours). These two compressions are supposed to yield the same constraints. The difference is due to optimization issues while training using the GNLL loss function. The same implicit inference procedure is used to get the approximated posterior from these two different compressed data. The contours show the 68% and the 95% confidence regions. The dashed lines define the true parameter values.