Shaded surfaces show Himmelblau’s function in the range θ₁,θ₂ ∈ [−5,5] (left), Rosenbrock’s function in the range θ₁ ∈ [−3,4] and θ₂ ∈ [−2,10] (middle left), Eggbox function in the range θ₁,θ₂ ∈ [0,10π] (middle right) and Rastrigin’s function in the range θ₁,θ₂ ∈ [−5.12,5.12] (right). Uniform priors over each coordinate were used for all the demos with stopping thresholds δ_final = 0.05,0.05,0.5, and 0.05, respectively. Upper panels: yellow dots represent (from left to right) the resulting N_nest = 8485, 8558, 8207, 10648 samples obtained with the code presented in Sect. 4 by using N_live = 1000 points for each demo, as presented by FS13. Lower panels: green dots represent (from left to right) the resulting N_nest = 5286,5151,5874,6174 samples derived by additionally applying the reduction law given by Eq. (17) with tol = 100, γ = 0.4, N₀ = 1000 and N_min = 400 live points.