Average Error: 0.3 → 0.3
Time: 1.0s
Precision: binary64
\[\frac{1}{\sqrt{x + y}}\]
↓
\[\frac{1}{\sqrt{x + y}}\]
\frac{1}{\sqrt{x + y}}
↓
\frac{1}{\sqrt{x + y}}
double code(double x, double y) {
	return ((double) (1.0 / ((double) sqrt(((double) (x + y))))));
}
↓
double code(double x, double y) {
	return ((double) (1.0 / ((double) sqrt(((double) (x + 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 0.3

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

  2. Final simplification0.3

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

Reproduce

herbie shell --seed 2020152 
(FPCore (x y)
  :name "(/ 1 (sqrt (+ x y)))"
  :precision binary64
  (/ 1.0 (sqrt (+ x y))))