Average Error: 37.0 → 37.0
Time: 3.3s
Precision: binary64
\[\sin \left(a + b\right) - \sin \left(a - b\right)\]
↓
\[\sin \left(a + b\right) - \sin \left(a - b\right)\]
\sin \left(a + b\right) - \sin \left(a - b\right)
↓
\sin \left(a + b\right) - \sin \left(a - b\right)
double code(double a, double b) {
	return ((double) (((double) sin(((double) (a + b)))) - ((double) sin(((double) (a - b))))));
}
↓
double code(double a, double b) {
	return ((double) (((double) sin(((double) (a + b)))) - ((double) sin(((double) (a - b))))));
}

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 37.0

    \[\sin \left(a + b\right) - \sin \left(a - b\right)\]

  2. Final simplification37.0

    \[\leadsto \sin \left(a + b\right) - \sin \left(a - b\right)\]

Reproduce

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