Average Error: 23.3 → 23.3
Time: 1.4s
Precision: binary64
\[\frac{\sqrt{{x}^{2} + 4} + x}{2}\]
↓
\[\frac{\sqrt{{x}^{2} + 4} + x}{2}\]
\frac{\sqrt{{x}^{2} + 4} + x}{2}
↓
\frac{\sqrt{{x}^{2} + 4} + x}{2}
double code(double x) {
	return ((double) (((double) (((double) sqrt(((double) (((double) pow(x, 2.0)) + 4.0)))) + x)) / 2.0));
}
↓
double code(double x) {
	return ((double) (((double) (((double) sqrt(((double) (((double) pow(x, 2.0)) + 4.0)))) + x)) / 2.0));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 23.3

    \[\frac{\sqrt{{x}^{2} + 4} + x}{2}\]

  2. Final simplification23.3

    \[\leadsto \frac{\sqrt{{x}^{2} + 4} + x}{2}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(/ (+ (sqrt (+ (pow x 2) 4)) x) 2)"
  :precision binary64
  (/ (+ (sqrt (+ (pow x 2.0) 4.0)) x) 2.0))