Benchmark of the execution time and peak memory consumption for a wide range of Healpix resolution N_side and ℓ_max, for a target accuracy of 10⁻¹³, and for our new implementation. The cell highlighted in magenta is the configuration we used for the accuracy benchmark in Fig. 3. The execution time ranges from 0.55 s (N_side = 512, ℓ_max = 1024) to 336 s (N_side = 8192, ℓ_max = 12 288), while the memory consumption increases from 0.4 GB to 51 GB. The memory consumption closely follows the memory needed to store the Healpix maps of that particular size.