def faster_simpson(f, a, b, steps):
h = (b-a)/float(steps)
a1 = a+h/2
s1 = sum( f(a1+i*h) for i in range(0,steps))
s2 = sum( f(a+i*h) for i in range(1,steps))
return (h/6.0)*(f(a)+f(b)+4.0*s1+2.0*s2)