Average Error: 0.0 → 0.0
Time: 654.0ms
Precision: binary64
\[a + \frac{1}{1 + \frac{1}{b}}\]
↓
\[a + \frac{1}{1 + \frac{1}{b}}\]
a + \frac{1}{1 + \frac{1}{b}}
↓
a + \frac{1}{1 + \frac{1}{b}}
double code(double a, double b) {
	return ((double) (a + ((double) (1.0 / ((double) (1.0 + ((double) (1.0 / b))))))));
}
↓
double code(double a, double b) {
	return ((double) (a + ((double) (1.0 / ((double) (1.0 + ((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 0.0

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

  2. Final simplification0.0

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

Reproduce

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