If I understand the Schreiner equation correctly which determines inert gas pressure in the tissues, when you first arrive at a deco stop the pressure gradient is at its greatest. As you hang at the stop the gradient decreases non-linearly according to the Schreiner equation. When the gradient has dropped off to a point you can ascend at 30 ft/min to the next stop and thus increase the gradient back to more efficient offgassing. So, the amount of time spent at maximum offgassing is a fraction of the overall offgassing rate for the entire stop.

In contrast, a continuous ascent will maintain a maximum offgassing rate because you are maintaining a fixed higher pressure gradient as the depth changes and the ambient pressure decreases. The question is: Can the body maintain a fixed high rate of (safe) offgassing for the entire trip to the surface? The ascent rate for continuous deco would probably be lower than the 33 ft (10 m) / min rate between deco stops.

Yes EFX you said it perfectly! I have been fiddeling around with this though of continuous decompression for a long time, and this is the first place where I have seen the idea mentioned.

Sure there are practical challenges with it when it comes to longer decompression times, but one can't deny that it's theoretically way superior and probably safer, because you would avoid the spikes at the start of every stop, and simultaneously optimize the dull periods at the end of every stop.

My thinking is, that the function of gas volume is f(x)=10/(x+10) where x is depth in meters and y is ambient volume of gas.

The rate of ascent would be inversely negatively proportional to the inclination of the function, with some modifier derived from the gradient factor.

Couldn't this be solved quite easily with todays dive computers, where one could have a coloured area showing ones optimal depth in the water column, green in the center fading through yellow and red at the borders, which would gradually move up (illustrated my a marker that moves down) and actually giving the diver an easy way to ride the algorithm, and even visualizing how aggressive ones ascent speed?