Average Error: 0.1 → 0.1
Time: 996.0ms
Precision: binary64
\[x + \frac{1}{\sqrt{y}}\]
↓
\[x + \frac{1}{\sqrt{y}}\]
x + \frac{1}{\sqrt{y}}
↓
x + \frac{1}{\sqrt{y}}
double code(double x, double y) {
	return ((double) (x + ((double) (1.0 / ((double) sqrt(y))))));
}
↓
double code(double x, double y) {
	return ((double) (x + ((double) (1.0 / ((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 0.1

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

  2. Final simplification0.1

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

Reproduce

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