Average Error: 0.0 → 0.0
Time: 12.8s
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 r406881 = x;
        double r406882 = y;
        double r406883 = r406881 + r406882;
        double r406884 = r406881 - r406882;
        double r406885 = r406883 / r406884;
        return r406885;
}
↓
double f(double x, double y) {
        double r406886 = x;
        double r406887 = y;
        double r406888 = r406886 + r406887;
        double r406889 = r406886 - r406887;
        double r406890 = r406888 / r406889;
        return r406890;
}

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 2019304 +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)))