Mathematica is able to apply adaptive plot refinement to detect localized features with minimal sampling. A non-Mathematica system utilizing the same number of points fails to resolve the same details.
Adaptive plot refinement (APR) fine-tunes
graphics plotted in Mathematica. The result is improved
smoothness, better intelligibility, and a reduction of artifacts
compared with standard graphics programs.
When plotting a function, Mathematica automatically analyzes
that function to make sure the image is smooth and easy to understand
while preserving as much information as possible. Techniques used
include adaptive resampling and automatic selection of
optimal plot ranges, as well as system-wide support of regions and