Average Error: 0.0 → 0.0
Time: 6.9s
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 r135119 = x;
        double r135120 = y;
        double r135121 = r135119 - r135120;
        double r135122 = 1.0;
        double r135123 = r135122 - r135120;
        double r135124 = r135121 / r135123;
        return r135124;
}
↓
double f(double x, double y) {
        double r135125 = x;
        double r135126 = 1.0;
        double r135127 = y;
        double r135128 = r135126 - r135127;
        double r135129 = r135125 / r135128;
        double r135130 = r135127 / r135128;
        double r135131 = r135129 - r135130;
        return r135131;
}

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 2019212 
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  :precision binary64
  (/ (- x y) (- 1 y)))