We are so clever, or are we?

Integrate[1/x,{x,a,b}]

Log[b]-Log[a]

Which is faster? Which is most accurate (and in what range?)

if 1/2<(b/a)ɚ then 2*Arctanh((b-a)/b+a))

else log(b/a)

Log[b/a]

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