Average Error: 0.2 → 0.2
Time: 649.0ms
Precision: binary64
\[\frac{1}{\frac{1}{x} + \frac{1}{y}}\]
↓
\[\frac{1}{\frac{1}{x} + \frac{1}{y}}\]
\frac{1}{\frac{1}{x} + \frac{1}{y}}
↓
\frac{1}{\frac{1}{x} + \frac{1}{y}}
double code(double x, double y) {
	return ((double) (1.0 / ((double) (((double) (1.0 / x)) + ((double) (1.0 / y))))));
}
↓
double code(double x, double y) {
	return ((double) (1.0 / ((double) (((double) (1.0 / x)) + ((double) (1.0 / 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

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

  2. Final simplification0.2

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

Reproduce

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