Average Error: 0.0 → 0.0
Time: 10.7s
Precision: 64
\[\frac{x - y}{1 - y}\]
↓
\[\frac{x}{1 - y} - \frac{y}{1 - y}\]
\frac{x - y}{1 - y}
↓
\frac{x}{1 - y} - \frac{y}{1 - y}
double f(double x, double y) {
        double r104636 = x;
        double r104637 = y;
        double r104638 = r104636 - r104637;
        double r104639 = 1.0;
        double r104640 = r104639 - r104637;
        double r104641 = r104638 / r104640;
        return r104641;
}
↓
double f(double x, double y) {
        double r104642 = x;
        double r104643 = 1.0;
        double r104644 = y;
        double r104645 = r104643 - r104644;
        double r104646 = r104642 / r104645;
        double r104647 = r104644 / r104645;
        double r104648 = r104646 - r104647;
        return r104648;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\frac{x - y}{1 - y}\]
  2. Using strategy rm

  3. Applied div-sub0.0

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

  4. Final simplification0.0

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

Reproduce

herbie shell --seed 2019325 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  :precision binary64
  (/ (- x y) (- 1 y)))