Average Error: 0.3 → 0.3
Time: 3.6s
Precision: binary64
\[\frac{\tan b \cdot \cos a - \sin a}{\tan b \cdot \sin a + \cos a}\]
↓
\[\frac{\tan b \cdot \cos a - \sin a}{\tan b \cdot \sin a + \cos a}\]
\frac{\tan b \cdot \cos a - \sin a}{\tan b \cdot \sin a + \cos a}
↓
\frac{\tan b \cdot \cos a - \sin a}{\tan b \cdot \sin a + \cos a}
double code(double b, double a) {
	return ((double) (((double) (((double) (((double) tan(b)) * ((double) cos(a)))) - ((double) sin(a)))) / ((double) (((double) (((double) tan(b)) * ((double) sin(a)))) + ((double) cos(a))))));
}
↓
double code(double b, double a) {
	return ((double) (((double) (((double) (((double) tan(b)) * ((double) cos(a)))) - ((double) sin(a)))) / ((double) (((double) (((double) tan(b)) * ((double) sin(a)))) + ((double) cos(a))))));
}

Error

Bits error versus b

Bits error versus a

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.3

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

  2. Final simplification0.3

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

Reproduce

herbie shell --seed 2020153 
(FPCore (b a)
  :name "(/ (- (* (tan b) (cos a)) (sin a)) (+ (* (tan b) (sin a)) (cos a)))"
  :precision binary64
  (/ (- (* (tan b) (cos a)) (sin a)) (+ (* (tan b) (sin a)) (cos a))))