Global algorithm with more details than Figure 1. As input, it requires a density profile ρ⁽⁰⁾(r) of a planetary interior. In this work, ρ⁽⁰⁾(r) is generated in a random manner. The global algorithm then repeatedly calls the Theory of Figures (ToF) and a compositional algorithm to infer the pressure, temperature, and composition profile of the planet. The algorithm is applied until everything is self-consistent up to a certain tolerance. The algorithm is then deemed successful if the gravitational moments calculated by the ToF are compatible with the provided data.