Average Error: 1.3 → 1.3
Time: 2.4s
Precision: binary64
\[a + \left(1 - a\right) \cdot {\left(1 - \cos x\right)}^{5}\]
↓
\[a + \left(1 - a\right) \cdot {\left(1 - \cos x\right)}^{5}\]
a + \left(1 - a\right) \cdot {\left(1 - \cos x\right)}^{5}
↓
a + \left(1 - a\right) \cdot {\left(1 - \cos x\right)}^{5}
double code(double a, double x) {
	return ((double) (a + ((double) (((double) (1.0 - a)) * ((double) pow(((double) (1.0 - ((double) cos(x)))), 5.0))))));
}
↓
double code(double a, double x) {
	return ((double) (a + ((double) (((double) (1.0 - a)) * ((double) pow(((double) (1.0 - ((double) cos(x)))), 5.0))))));
}

Error

Bits error versus a

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 1.3

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

  2. Final simplification1.3

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

Reproduce

herbie shell --seed 2020153 
(FPCore (a x)
  :name "(+ a (* (- 1 a) (pow (- 1 (cos x)) 5)))"
  :precision binary64
  (+ a (* (- 1.0 a) (pow (- 1.0 (cos x)) 5.0))))