Average Error: 15.0 → 15.0
Time: 2.5s
Precision: binary64
\[\frac{\sin \left(a + b\right)}{\sin a}\]
↓
\[\frac{\sin \left(a + b\right)}{\sin a}\]
\frac{\sin \left(a + b\right)}{\sin a}
↓
\frac{\sin \left(a + b\right)}{\sin a}
double code(double a, double b) {
	return ((double) (((double) sin(((double) (a + b)))) / ((double) sin(a))));
}
↓
double code(double a, double b) {
	return ((double) (((double) sin(((double) (a + b)))) / ((double) sin(a))));
}

Error

Bits error versus a

Bits error versus b

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 15.0

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

  2. Final simplification15.0

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

Reproduce

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