It is in fact highly unlikely that the price will both reach an all-time high and not retrace significantly. Bitcoin's history (albeit short) does not allow for this phenomenon:
So how long before Bitcoin passes $32 based on this chart?
I highly doubt we'll see $32 in the near future. If you look closely at the chart, there isn't yet a case where the retrace takes one
below the second-last high. I don't even think the retrace has started yet.