Given that freezing occurs at constant storage temperature, the stochasticity of nucleation only leads to a variability in the initial mass of ice formed upon nucleation; thus only little variability in solidification times is observed for single vials, as implied by Figure ). This initial amount only accounts for around 10-20% of the total ice, as can be seen e.g. in Figure (b) in the main body of this work. The remaining water is frozen after nucleation in a deterministic manner, at a rate that is governed solely by the storage temperature. Solidification times, therefore, decrease nearly inversely proportional with decreasing the storage temperature with respect to the equilibrium freezing temperature. Figure : Distributions of (a) nucleation times, of (b) nucleation temperatures, and of (c) solidification times, for four storage temperatures each. 80'000 repetitions of the process were simulated per storage temperature. The scale of the nucleation time distribution is logarithmic to account for the strong effect of the external temperature on this quantity.