Average Error: 8.6 → 8.6
Time: 7.5s
Precision: binary64
\[\frac{\cos a - \cos b \cdot \cos c}{\sin b \cdot \sin c}\]
↓
\[\frac{\cos a - \cos b \cdot \cos c}{\sin b \cdot \sin c}\]
\frac{\cos a - \cos b \cdot \cos c}{\sin b \cdot \sin c}
↓
\frac{\cos a - \cos b \cdot \cos c}{\sin b \cdot \sin c}
double code(double a, double b, double c) {
	return ((double) (((double) (((double) cos(a)) - ((double) (((double) cos(b)) * ((double) cos(c)))))) / ((double) (((double) sin(b)) * ((double) sin(c))))));
}
↓
double code(double a, double b, double c) {
	return ((double) (((double) (((double) cos(a)) - ((double) (((double) cos(b)) * ((double) cos(c)))))) / ((double) (((double) sin(b)) * ((double) sin(c))))));
}

Error

Bits error versus a

Bits error versus b

Bits error versus c

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 8.6

    \[\frac{\cos a - \cos b \cdot \cos c}{\sin b \cdot \sin c}\]

  2. Final simplification8.6

    \[\leadsto \frac{\cos a - \cos b \cdot \cos c}{\sin b \cdot \sin c}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (a b c)
  :name "(/ (- (cos a) (* (cos b) (cos c))) (* (sin b) (sin c)))"
  :precision binary64
  (/ (- (cos a) (* (cos b) (cos c))) (* (sin b) (sin c))))