Average Error: 15.5 → 15.5
Time: 656.0ms
Precision: binary64
\[\frac{1}{\frac{x + y}{x \cdot y}}\]
↓
\[\frac{1}{\frac{x + y}{x \cdot y}}\]
\frac{1}{\frac{x + y}{x \cdot y}}
↓
\frac{1}{\frac{x + y}{x \cdot y}}
double code(double x, double y) {
	return ((double) (1.0 / ((double) (((double) (x + y)) / ((double) (x * y))))));
}
↓
double code(double x, double y) {
	return ((double) (1.0 / ((double) (((double) (x + y)) / ((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 15.5

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

  2. Final simplification15.5

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

Reproduce

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