Complementary cumulative distribution functions for recovered flare energies in denoised light curves. Flares are separated into simple events (blue) and individual components of complex flares (orange), as well as flares from partially (green) and fully convective stars (purple). The full flare sample is displayed in black. Observed distributions, power-law fits, and log-normal fits are displayed with solid lines, dashed lines, and dotted lines, respectively. The vertical dashed grey lines indicate the 90% recovery energy (t₃) and the start of the energy range used for the fitting. In each panel, the legend indicates the log-likelihood ratio R between the power-law and log-normal fits, along with its associated p-value.