This can be generalised to the curve plotting of the singularity itself.

If the time between advances is a + b and a is the proportion of the period that can be improved by advances then you won't reduce to a gap of nothing between advances, you reduce to a gap of b.

Assume the invention of the plow and the invention of the sword is 500,100 units and a was the 500,000, you wouldn't even know the 100 as in there. Maybe we're at a=2000 now and b is still siting at 100.

Assuming we'll reach infinity because we're dividing by the only variable we see and it is decreasing in size seems nuts if the reason we might not see other variables is because of the size of the variable we can see.