Average Error: 0.0 → 0.0
Time: 924.0ms
Precision: binary64
\[\sqrt{\frac{\left|s\right| + a}{2}}\]
↓
\[\sqrt{\frac{\left|s\right| + a}{2}}\]
\sqrt{\frac{\left|s\right| + a}{2}}
↓
\sqrt{\frac{\left|s\right| + a}{2}}
double code(double s, double a) {
	return ((double) sqrt(((double) (((double) (((double) fabs(s)) + a)) / 2.0))));
}
↓
double code(double s, double a) {
	return ((double) sqrt(((double) (((double) (((double) fabs(s)) + a)) / 2.0))));
}

Error

Bits error versus s

Bits error versus a

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\sqrt{\frac{\left|s\right| + a}{2}}\]

  2. Final simplification0.0

    \[\leadsto \sqrt{\frac{\left|s\right| + a}{2}}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (s a)
  :name "(sqrt (/ (+ (fabs s) a) 2))"
  :precision binary64
  (sqrt (/ (+ (fabs s) a) 2.0)))