Average Error: 55.2 → 55.2
Time: 3.5s
Precision: binary64
\[\frac{\sin \left(x + 1\right)}{\sin 1} - \cos x\]
↓
\[\frac{\sin \left(x + 1\right)}{\sin 1} - \cos x\]
\frac{\sin \left(x + 1\right)}{\sin 1} - \cos x
↓
\frac{\sin \left(x + 1\right)}{\sin 1} - \cos x
double code(double x) {
	return ((double) (((double) (((double) sin(((double) (x + 1.0)))) / ((double) sin(1.0)))) - ((double) cos(x))));
}
↓
double code(double x) {
	return ((double) (((double) (((double) sin(((double) (x + 1.0)))) / ((double) sin(1.0)))) - ((double) cos(x))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 55.2

    \[\frac{\sin \left(x + 1\right)}{\sin 1} - \cos x\]

  2. Final simplification55.2

    \[\leadsto \frac{\sin \left(x + 1\right)}{\sin 1} - \cos x\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(- (/ (sin (+ x 1)) (sin 1)) (cos x))"
  :precision binary64
  (- (/ (sin (+ x 1.0)) (sin 1.0)) (cos x)))