Average Error: 0.0 → 0.0
Time: 5.1s
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 r2823 = x;
        double r2824 = y;
        double r2825 = r2823 + r2824;
        double r2826 = r2823 - r2824;
        double r2827 = r2825 / r2826;
        return r2827;
}
↓
double f(double x, double y) {
        double r2828 = x;
        double r2829 = y;
        double r2830 = r2828 + r2829;
        double r2831 = r2828 - r2829;
        double r2832 = r2830 / r2831;
        return r2832;
}

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)))