Average Error: 0.0 → 0.0
Time: 3.2s
Precision: 64
\[\frac{x + y}{x - y}\]
↓
\[\frac{1}{\frac{x - y}{x + y}}\]
\frac{x + y}{x - y}
↓
\frac{1}{\frac{x - y}{x + y}}
double f(double x, double y) {
        double r435075 = x;
        double r435076 = y;
        double r435077 = r435075 + r435076;
        double r435078 = r435075 - r435076;
        double r435079 = r435077 / r435078;
        return r435079;
}
↓
double f(double x, double y) {
        double r435080 = 1.0;
        double r435081 = x;
        double r435082 = y;
        double r435083 = r435081 - r435082;
        double r435084 = r435081 + r435082;
        double r435085 = r435083 / r435084;
        double r435086 = r435080 / r435085;
        return r435086;
}

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. Using strategy rm

  3. Applied clear-num0.0

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

  4. Final simplification0.0

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

Reproduce

herbie shell --seed 2020100 +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)))