Average Error: 0.1 → 0.1
Time: 563.0ms
Precision: binary64
\[\frac{1}{a + \frac{1}{b}}\]
\[\frac{1}{a + \frac{1}{b}}\]
\frac{1}{a + \frac{1}{b}}
\frac{1}{a + \frac{1}{b}}
double code(double a, double b) {
	return ((double) (1.0 / ((double) (a + ((double) (1.0 / b))))));
}
double code(double a, double b) {
	return ((double) (1.0 / ((double) (a + ((double) (1.0 / b))))));
}

Error

Bits error versus a

Bits error versus b

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[\frac{1}{a + \frac{1}{b}}\]
  2. Final simplification0.1

    \[\leadsto \frac{1}{a + \frac{1}{b}}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (a b)
  :name "(/ 1 (+ a (/ 1 b)))"
  :precision binary64
  (/ 1.0 (+ a (/ 1.0 b))))