There probably is... we have some Electronics Engineers on the forum that could... if they knew all the parameters of exact battery, exact
vaping draw, the circuit designs for both and the exact resistance of the device and the carto/atty. Otherwise, there's a lot of variability.
Buck is different than boost. So 2
batteries in series (7.4 volts), and lowering the voltage (buck) rather than upping the voltage (boost), is generally more efficient. Depends a lot on the regulator used on that specific device. Got a link? The buck/boost devices are probably more efficient (switching regulators), but it's hard to say without part #'s. When it's stacked, and you just need to reduce voltage, a linear regulator dissipates the voltage difference as heat, and is a lot more inefficient than a switching regulator, for example. See all the variables? I have no idea what the heck a bogger box is, let alone the part #'s for the regulator inside it.
Bottom line is for you to time it and tell us. A lot easier. lol. Sorry. There is no set rule that I'm familiar with. Would be interesting to have a ball-park estimation formula. Would depend on device efficiency though.