User blog comment:MachineGunSuper/The X Hierarchy/@comment-31607182-20171220224223

$$ Ж_{(n)}n \approx f_3(n) $$. The other rules don't really change the strenght.

Even $$ Ж_{(\omega + \omega)}n $$ doesn't go past $$ f_3(n)$$.

The reason for this is that you powertower always has a height of about n, and with increasing ordinals only the values inside the tower change, which is way weaker than increasing the size of the actual powerower itself.

$$Ж_{\epislon_0}n$$ should be around $$f_{\omega}(n)$$.