Average Error: 0.0 → 0.0
Time: 538.0ms
Precision: binary64
\[x + \frac{y}{10^{9}}\]
↓
\[x + \frac{y}{10^{9}}\]
x + \frac{y}{10^{9}}
↓
x + \frac{y}{10^{9}}
double code(double x, double y) {
	return ((double) (x + ((double) (y / 1000000000.0))));
}
↓
double code(double x, double y) {
	return ((double) (x + ((double) (y / 1000000000.0))));
}

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 0.0

    \[x + \frac{y}{10^{9}}\]

  2. Final simplification0.0

    \[\leadsto x + \frac{y}{10^{9}}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x y)
  :name "(+ x (/ y 1000000000.0))"
  :precision binary64
  (+ x (/ y 1000000000.0)))