Average Error: 1.2 → 1.2
Time: 2.5s
Precision: binary64
\[r + \left(1 - r\right) \cdot {\left(1 - \cos x\right)}^{5}\]
↓
\[r + \left(1 - r\right) \cdot {\left(1 - \cos x\right)}^{5}\]
r + \left(1 - r\right) \cdot {\left(1 - \cos x\right)}^{5}
↓
r + \left(1 - r\right) \cdot {\left(1 - \cos x\right)}^{5}
double code(double r, double x) {
	return ((double) (r + ((double) (((double) (1.0 - r)) * ((double) pow(((double) (1.0 - ((double) cos(x)))), 5.0))))));
}
↓
double code(double r, double x) {
	return ((double) (r + ((double) (((double) (1.0 - r)) * ((double) pow(((double) (1.0 - ((double) cos(x)))), 5.0))))));
}

Error

Bits error versus r

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 1.2

    \[r + \left(1 - r\right) \cdot {\left(1 - \cos x\right)}^{5}\]

  2. Final simplification1.2

    \[\leadsto r + \left(1 - r\right) \cdot {\left(1 - \cos x\right)}^{5}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (r x)
  :name "(+ r (* (- 1 r) (pow (- 1 (cos x)) 5)))"
  :precision binary64
  (+ r (* (- 1.0 r) (pow (- 1.0 (cos x)) 5.0))))