Average Error: 3.2 → 3.2
Time: 1.5s
Precision: binary64
\[1 - \frac{1}{a} \cdot {\left(1 - b\right)}^{\left(\frac{3}{2}\right)}\]
↓
\[1 - \frac{1}{a} \cdot {\left(1 - b\right)}^{\left(\frac{3}{2}\right)}\]
1 - \frac{1}{a} \cdot {\left(1 - b\right)}^{\left(\frac{3}{2}\right)}
↓
1 - \frac{1}{a} \cdot {\left(1 - b\right)}^{\left(\frac{3}{2}\right)}
double code(double a, double b) {
	return ((double) (1.0 - ((double) (((double) (1.0 / a)) * ((double) pow(((double) (1.0 - b)), ((double) (3.0 / 2.0))))))));
}
↓
double code(double a, double b) {
	return ((double) (1.0 - ((double) (((double) (1.0 / a)) * ((double) pow(((double) (1.0 - b)), ((double) (3.0 / 2.0))))))));
}

Error

Bits error versus a

Bits error versus b

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 3.2

    \[1 - \frac{1}{a} \cdot {\left(1 - b\right)}^{\left(\frac{3}{2}\right)}\]

  2. Final simplification3.2

    \[\leadsto 1 - \frac{1}{a} \cdot {\left(1 - b\right)}^{\left(\frac{3}{2}\right)}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (a b)
  :name "(- 1 (* (/ 1 a) (pow (- 1 b) (/ 3 2))))"
  :precision binary64
  (- 1.0 (* (/ 1.0 a) (pow (- 1.0 b) (/ 3.0 2.0)))))