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

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

  2. Final simplification0.1

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

Reproduce

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