Average Error: 29.7 → 29.7
Time: 1.0s
Precision: binary64
\[x - \frac{x}{1 + y} \cdot y\]
↓
\[x - \frac{x}{1 + y} \cdot y\]
x - \frac{x}{1 + y} \cdot y
↓
x - \frac{x}{1 + y} \cdot y
double code(double x, double y) {
	return ((double) (x - ((double) (((double) (x / ((double) (1.0 + y)))) * y))));
}
↓
double code(double x, double y) {
	return ((double) (x - ((double) (((double) (x / ((double) (1.0 + y)))) * 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 29.7

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

  2. Final simplification29.7

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

Reproduce

herbie shell --seed 2020153 
(FPCore (x y)
  :name "(- x (* (/ x (+ 1 y)) y))"
  :precision binary64
  (- x (* (/ x (+ 1.0 y)) y)))