Вариант 17 / 6 / 6script

import math

def func(x):
return math.sin(x+1) * math.e ** (x/2)

def golden_section(a, b, e=1e-4):
k1 = (3 - 5 ** 0.5) / 2
k2 = (5 ** 0.5 - 1) / 2
x1 = a + k1*(b - a)
x2 = a + k2*(b - a)
F1 = func(x1)
F2 = func(x2)
n = 0
while (b-a) > e:
n += 1
if F1 < F2:
b = x2
x2 = x1
x1 = a + k1 * (b-a)
F2 = F1
F1 = func(x1)
else:
a = x1
x1 = x2
x2 = a + k2 * (b-a)
F1 = F2
F2 = func(x2)
xmin = (a + b) / 2
fmin = func(xmin)
print(n, b-a)
return n, xmin, fmin, (b-a)

print(golden_section(3.5, 4.5))