I see where you are going with the graphs. By quirky nature of Zone System film speed rating, you commonly use half rated speed. To illustrate the different natures of the purpose of pull/push, I made two graphs to show what goes on...

Expose/Develop N-1 N N+1
Half Rated Speed Adams Contraction Normal Adams Expansion
Rated Speed ? ? ?
Double Rated Speed ? ? ?

Expose/Develop Pull One Stop Standard Push One Stop
Half Rated Speed Pull One Stop Overexposed ?
Rated Speed ? Standard ?
Double Rated Speed ? Underexposed Push One Stop