Average Error: 0.0 → 0.0
Time: 2.7s
Precision: 64
\[\frac{x + y}{x - y}\]
↓
\[\frac{x + y}{x - y}\]
\frac{x + y}{x - y}
↓
\frac{x + y}{x - y}
double f(double x, double y) {
        double r529699 = x;
        double r529700 = y;
        double r529701 = r529699 + r529700;
        double r529702 = r529699 - r529700;
        double r529703 = r529701 / r529702;
        return r529703;
}
↓
double f(double x, double y) {
        double r529704 = x;
        double r529705 = y;
        double r529706 = r529704 + r529705;
        double r529707 = r529704 - r529705;
        double r529708 = r529706 / r529707;
        return r529708;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.0
Target0.0
Herbie0.0
\[\frac{1}{\frac{x}{x + y} - \frac{y}{x + y}}\]

Derivation

  1. Initial program 0.0

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

  2. Final simplification0.0

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

Reproduce

herbie shell --seed 2020046 +o rules:numerics
(FPCore (x y)
  :name "Linear.Projection:perspective from linear-1.19.1.3, A"
  :precision binary64

  :herbie-target
  (/ 1 (- (/ x (+ x y)) (/ y (+ x y))))

  (/ (+ x y) (- x y)))