Average Error: 1.4 → 1.4
Time: 2.0s
Precision: binary64
\[\sqrt{1 + \cos x} - \sqrt{1 - \sin x}\]
↓
\[\sqrt{1 + \cos x} - \sqrt{1 - \sin x}\]
\sqrt{1 + \cos x} - \sqrt{1 - \sin x}
↓
\sqrt{1 + \cos x} - \sqrt{1 - \sin x}
double code(double x) {
	return ((double) (((double) sqrt(((double) (1.0 + ((double) cos(x)))))) - ((double) sqrt(((double) (1.0 - ((double) sin(x))))))));
}
↓
double code(double x) {
	return ((double) (((double) sqrt(((double) (1.0 + ((double) cos(x)))))) - ((double) sqrt(((double) (1.0 - ((double) sin(x))))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 1.4

    \[\sqrt{1 + \cos x} - \sqrt{1 - \sin x}\]

  2. Final simplification1.4

    \[\leadsto \sqrt{1 + \cos x} - \sqrt{1 - \sin x}\]

Reproduce

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