First, let me note that what we're actually talking about is the distribution of pixel values (For whatever it is defined to be, usually the average of the RGB channels whose meaning also varies). An histogram is a common representation of this distribution but they're not the same. To talk about the "effects on the histogram" in this context is like talking about the "effects on the speedometer" in a context regarding different types of tires (What we would then be interested in is speed, responsiveness, etc... not its representation). Unfortunately it seems like no other fellow forum use has noticed this mistake. Maybe this don't means too much to you but as an enthusiast of mathematics and formal logic I felt compelled to point this issue.
I think You're addressing the incorrect issue. What we are interested in, regarding photography is our perception of things, our perception of "different adjustments" in this case; with this in mind I'd say pixel value distributions are of little help here (Remember the black cat next to a coal pile and the white dog in snow).
If you want your comparison of "adjustments" to be meaningful for real photographs then common sense says you should perform the comparisons with real photographs, and compare how they look, not a pixel value histogram looks.
If you want to know more about the algorithms behind the "adjustments" then I'd normally suggest to look in the source code, however, the image manipulation program you inquired about is proprietary software; by design it prevents its users and general public to consult the details about its workings. I use and suggest free software like The GIMP and RawTherapee which allow and promote this and other rights.
Regards and good luck.