Average Error: 0.1 → 0.1
Time: 2.2s
Precision: binary64
\[\sqrt{\cos x - \sin x}\]
↓
\[\sqrt{\cos x - \sin x}\]
\sqrt{\cos x - \sin x}
↓
\sqrt{\cos x - \sin x}
double code(double x) {
	return ((double) sqrt(((double) (((double) cos(x)) - ((double) sin(x))))));
}
↓
double code(double x) {
	return ((double) sqrt(((double) (((double) cos(x)) - ((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 0.1

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

  2. Final simplification0.1

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

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(sqrt (- (cos x) (sin x)))"
  :precision binary64
  (sqrt (- (cos x) (sin x))))