The presumption that additions are free, when, in current hardware, there's not a dramatic difference between the cost of an add and a multiply, seems particula

The presumption that additions are free, when, in current hardware, there's not a dramatic difference between the cost of an add and a multiply, seems particularly damning. These algorithms reduce the number of multiplies, but seem to increase the total number of floating point ops (including both adds and multiplies), unless I'm mistaken.