Average Error: 22.1 → 22.1
Time: 1.4s
Precision: binary64
\[\frac{1 - g \cdot g}{{\left(\left(1 + g \cdot g\right) - \left(2 \cdot g\right) \cdot x\right)}^{1.5}}\]
↓
\[\frac{1 - g \cdot g}{{\left(\left(1 + g \cdot g\right) - \left(2 \cdot g\right) \cdot x\right)}^{1.5}}\]
\frac{1 - g \cdot g}{{\left(\left(1 + g \cdot g\right) - \left(2 \cdot g\right) \cdot x\right)}^{1.5}}
↓
\frac{1 - g \cdot g}{{\left(\left(1 + g \cdot g\right) - \left(2 \cdot g\right) \cdot x\right)}^{1.5}}
double code(double g, double x) {
	return ((double) (((double) (1.0 - ((double) (g * g)))) / ((double) pow(((double) (((double) (1.0 + ((double) (g * g)))) - ((double) (((double) (2.0 * g)) * x)))), 1.5))));
}
↓
double code(double g, double x) {
	return ((double) (((double) (1.0 - ((double) (g * g)))) / ((double) pow(((double) (((double) (1.0 + ((double) (g * g)))) - ((double) (((double) (2.0 * g)) * x)))), 1.5))));
}

Error

Bits error versus g

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 22.1

    \[\frac{1 - g \cdot g}{{\left(\left(1 + g \cdot g\right) - \left(2 \cdot g\right) \cdot x\right)}^{1.5}}\]

  2. Final simplification22.1

    \[\leadsto \frac{1 - g \cdot g}{{\left(\left(1 + g \cdot g\right) - \left(2 \cdot g\right) \cdot x\right)}^{1.5}}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (g x)
  :name "(/ (- 1 (* g g)) (pow (- (+ 1 (* g g)) (* (* 2 g) x)) 1.5))"
  :precision binary64
  (/ (- 1.0 (* g g)) (pow (- (+ 1.0 (* g g)) (* (* 2.0 g) x)) 1.5)))