Average Error: 15.1 → 15.1
Time: 2.8s
Precision: binary64
\[\frac{r \cdot \sin b}{\cos \left(a + b\right)}\]
↓
\[\frac{r \cdot \sin b}{\cos \left(a + b\right)}\]
\frac{r \cdot \sin b}{\cos \left(a + b\right)}
↓
\frac{r \cdot \sin b}{\cos \left(a + b\right)}
double code(double r, double b, double a) {
	return ((double) (((double) (r * ((double) sin(b)))) / ((double) cos(((double) (a + b))))));
}
↓
double code(double r, double b, double a) {
	return ((double) (((double) (r * ((double) sin(b)))) / ((double) cos(((double) (a + b))))));
}

Error

Bits error versus r

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 15.1

    \[\frac{r \cdot \sin b}{\cos \left(a + b\right)}\]

  2. Final simplification15.1

    \[\leadsto \frac{r \cdot \sin b}{\cos \left(a + b\right)}\]

Reproduce

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