Average Error: 0.0 → 0.0
Time: 4.0s
Precision: binary64
\[\sqrt{1 \cdot f - \cos x \cdot \cos x}\]
↓
\[\sqrt{1 \cdot f - \cos x \cdot \cos x}\]
\sqrt{1 \cdot f - \cos x \cdot \cos x}
↓
\sqrt{1 \cdot f - \cos x \cdot \cos x}
double code(double f, double x) {
	return ((double) sqrt(((double) (((double) (1.0 * f)) - ((double) (((double) cos(x)) * ((double) cos(x))))))));
}
↓
double code(double f, double x) {
	return ((double) sqrt(((double) (((double) (1.0 * f)) - ((double) (((double) cos(x)) * ((double) cos(x))))))));
}

Error

Bits error versus f

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\sqrt{1 \cdot f - \cos x \cdot \cos x}\]

  2. Final simplification0.0

    \[\leadsto \sqrt{1 \cdot f - \cos x \cdot \cos x}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (f x)
  :name "(sqrt (- (* 1 f) (* (cos x) (cos x))))"
  :precision binary64
  (sqrt (- (* 1.0 f) (* (cos x) (cos x)))))