Average Error: 0.2 → 0.2
Time: 2.0s
Precision: binary64
\[\frac{1 + \sqrt{x}}{\sqrt{x} + \sqrt{y}}\]
↓
\[\frac{1 + \sqrt{x}}{\sqrt{x} + \sqrt{y}}\]
\frac{1 + \sqrt{x}}{\sqrt{x} + \sqrt{y}}
↓
\frac{1 + \sqrt{x}}{\sqrt{x} + \sqrt{y}}
double code(double x, double y) {
	return ((double) (((double) (1.0 + ((double) sqrt(x)))) / ((double) (((double) sqrt(x)) + ((double) sqrt(y))))));
}
↓
double code(double x, double y) {
	return ((double) (((double) (1.0 + ((double) sqrt(x)))) / ((double) (((double) sqrt(x)) + ((double) sqrt(y))))));
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.2

    \[\frac{1 + \sqrt{x}}{\sqrt{x} + \sqrt{y}}\]

  2. Final simplification0.2

    \[\leadsto \frac{1 + \sqrt{x}}{\sqrt{x} + \sqrt{y}}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x y)
  :name "(/ (+ 1 (sqrt x)) (+ (sqrt x) (sqrt y)))"
  :precision binary64
  (/ (+ 1.0 (sqrt x)) (+ (sqrt x) (sqrt y))))