Average Error: 0.2 → 0.2
Time: 1.7s
Precision: binary64
\[\frac{\frac{\left(2 \cdot \pi\right) \cdot \cos x}{e}}{2}\]
↓
\[\frac{\pi \cdot \cos x}{e}\]
\frac{\frac{\left(2 \cdot \pi\right) \cdot \cos x}{e}}{2}
↓
\frac{\pi \cdot \cos x}{e}
double code(double x) {
	return ((double) (((double) (((double) (((double) (2.0 * ((double) M_PI))) * ((double) cos(x)))) / ((double) M_E))) / 2.0));
}
↓
double code(double x) {
	return ((double) (((double) (((double) M_PI) * ((double) cos(x)))) / ((double) M_E)));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.2

    \[\frac{\frac{\left(2 \cdot \pi\right) \cdot \cos x}{e}}{2}\]

  2. Simplified0.2

    \[\leadsto \color{blue}{\frac{\pi \cdot \cos x}{e}}\]

  3. Final simplification0.2

    \[\leadsto \frac{\pi \cdot \cos x}{e}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(/ (/ (* (* 2 PI) (cos x)) E) 2)"
  :precision binary64
  (/ (/ (* (* 2.0 PI) (cos x)) E) 2.0))