fast and accurate scaling compared to compound scaling

Wscaling.py

#compound scaling
scale_coeff = [0.5, 1.0, 1.5]
for coeff in scale_coeff:
    print(a ** coeff, b**(coeff) , c**(coeff))
    #1.0954451150103321 1.0488088481701516 1.0723805294763609
    #1.2 1.1 1.15
    #1.3145341380123985 1.153689732987167 1.2332376088978148

# W scaling
alpha = .8
e_d = (1-alpha) / 2
e_w = alpha / 2
e_r = (1-alpha) / 4

for coeff in scale_coeff:
    s = 2 ** coeff
    print(s ** e_d, s**e_w , s**e_r)
    #1.0352649238413776 1.148698354997035 1.0174796921026863
    #1.0717734625362931 1.3195079107728942 1.0352649238413776
    #1.109569472067845 1.5157165665103982 1.0533610359548358