Average Error: 55.0 → 55.0
Time: 3.5s
Precision: binary64
\[\frac{\left(a \cdot a + 2 \cdot \cos a\right) - 2}{\left(\left(\left(2 \cdot a\right) \cdot a\right) \cdot a\right) \cdot a}\]
↓
\[\frac{\left(a \cdot a + 2 \cdot \cos a\right) - 2}{\left(\left(\left(2 \cdot a\right) \cdot a\right) \cdot a\right) \cdot a}\]
\frac{\left(a \cdot a + 2 \cdot \cos a\right) - 2}{\left(\left(\left(2 \cdot a\right) \cdot a\right) \cdot a\right) \cdot a}
↓
\frac{\left(a \cdot a + 2 \cdot \cos a\right) - 2}{\left(\left(\left(2 \cdot a\right) \cdot a\right) \cdot a\right) \cdot a}
double code(double a) {
	return ((double) (((double) (((double) (((double) (a * a)) + ((double) (2.0 * ((double) cos(a)))))) - 2.0)) / ((double) (((double) (((double) (((double) (2.0 * a)) * a)) * a)) * a))));
}
↓
double code(double a) {
	return ((double) (((double) (((double) (((double) (a * a)) + ((double) (2.0 * ((double) cos(a)))))) - 2.0)) / ((double) (((double) (((double) (((double) (2.0 * a)) * a)) * a)) * a))));
}

Error

Bits error versus a

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 55.0

    \[\frac{\left(a \cdot a + 2 \cdot \cos a\right) - 2}{\left(\left(\left(2 \cdot a\right) \cdot a\right) \cdot a\right) \cdot a}\]

  2. Final simplification55.0

    \[\leadsto \frac{\left(a \cdot a + 2 \cdot \cos a\right) - 2}{\left(\left(\left(2 \cdot a\right) \cdot a\right) \cdot a\right) \cdot a}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (a)
  :name "(/ (- (+ (* a a) (* 2 (cos a))) 2) (* (* (* (* 2 a) a) a) a))"
  :precision binary64
  (/ (- (+ (* a a) (* 2.0 (cos a))) 2.0) (* (* (* (* 2.0 a) a) a) a)))