User blog comment:Bubby3/Ordinal function/@comment-11227630-20170825004120

One ordinal may correspond to many separators. For instance,

s(n,n{1{1`2}3}2) has growth rate $$\varepsilon_0^{\varepsilon_0}$$, and s(n,n{1{1`2}2`2}2) also has growth rate $$\varepsilon_0^{\varepsilon_0}$$. s(n,n{1{1,,2}3}2) has growth rate $$\varepsilon_1$$, but s(n,n{1{1,,2}2,,2}2) has growth rate $$\Gamma_0$$.

Then which one should we use in $$f(\varepsilon_0^{\varepsilon_0})$$? How to determine the used one, generally?