Average Error: 0.0 → 0.0
Time: 3.1s
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 r711033 = x;
        double r711034 = y;
        double r711035 = r711033 + r711034;
        double r711036 = r711033 - r711034;
        double r711037 = r711035 / r711036;
        return r711037;
}
↓
double f(double x, double y) {
        double r711038 = x;
        double r711039 = y;
        double r711040 = r711038 + r711039;
        double r711041 = r711038 - r711039;
        double r711042 = r711040 / r711041;
        return r711042;
}

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 2020025 +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)))