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In the near future, ultra deep observations of galaxy clusters with HST orJWST will uncover $300-1000$ lensed multiple images, increasing the currentcount per cluster by up to an order of magnitude. This will further refine ourview of clusters, leading to a more accurate and precise mapping of the totaland dark matter distribution in clusters, and enabling a better understandingof background galaxy population and their luminosity functions. However, toeffectively use that many images as input to lens inversion will require are-evaluation of, and possibly upgrades to the existing methods. In this paperwe scrutinize the performance of the free-form lens inversion method Grale inthe regime of $150-1000$ input images, using synthetic massive galaxy clusters.Our results show that with an increasing number of input images, Grale producesimproved reconstructed mass distributions, with the fraction of the lens planerecovered at better than $10\%$ accuracy increasing from $40-50\%$ for$\sim\!\!150$ images to $65\%$ for $\sim\!1000$ images. The reconstructed timedelays imply a more precise measurement of $H_0$, with $\lesssim 1\%$ bias.While the fidelity of the reconstruction improves with the increasing number ofmultiple images used as model constraints, $\sim 150$ to $\sim 1000$, the lensplane rms deteriorates from $\sim 0.11''$ to $\sim 0.28''$. Since lens planerms is not necessarily the best indicator of the quality of the massreconstructions, looking for an alternative indicator is warranted.

Free-form Grale lens inversion of galaxy clusters with up to 1000 multiple images