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The following simple renders illustre how "Shading Samples" control the various lighting elements all at once. The scene is mostly matte (diffuse) with a GGX material applied to the tall cube.

 

 AA=2x2, Shading Samples = 16AA=2x2, Shading Samples = 64AA=2x2, Shading Samples 256AA=4x4, Shading Samples 256 
Shading Samples1664256256
AA Samples2x22x22x24x4
Number of Rays12.7 millions48.7 millions191 millions194 millions
Time6.5 seconds26.5 seconds100 seconds108 seconds
CommentsDraft renderNotice how diffuse, specular and shadows improve
together. 
High quality render with linear improvement
in all lighting elements.

Increasing pixel samples do not affect
render time since all the time is spent
in shading. 

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