Full-sky forward operation execution times for spin-2 fields of our implementation compared with lenspyx, which uses a popular bicubic spline interpolation technique. The top panels show lenspyx (left) and the new implementation (right) as a function of the effective relative accuracy for ℓ_max = 4096, producing lensed CMB maps in a Healpix geometry with N_side = 2048. The effective accuracy is calculated for a few isolatitude rings close to the equator. All calculations were made with four CPUs. We indicate the execution time (shaded areas, left y-axes), peak memory usage (green data points, right y-axis), and the accuracy parameters (target resolution, target accuracy) at the top x-axes. For lenspyx, we divided the full sky map into two bands to reduce the memory consumption. The differently colored areas show the main steps of the operation. The execution time and memory consumption both grows rapidly for lenspyx because it requires high-resolution grids for an accurate interpolation.