User blog comment:Hyp cos/Analysis - BEAF, FGH and SGH (part 3)/@comment-1605058-20131029153716

Your results seem to be based on intuition, namely you assume that rules which work for small ordinals keep working for giants of sort psi(psi_I(I)). This may cause results to not be very exact. For example, usually ω^^(ω+1) would be equal to ω^(ω^^ω)=ω^(e_0)=e_0, so this is not quite what you go for. But anyway, I'm pretty sure no one before tried to do SGH analysis that far, so I have nothing to compare your results to.