Average Error: 0.0 → 0.0
Time: 1.2s
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 r183499 = x;
        double r183500 = y;
        double r183501 = r183499 - r183500;
        double r183502 = 1.0;
        double r183503 = r183502 - r183500;
        double r183504 = r183501 / r183503;
        return r183504;
}
↓
double f(double x, double y) {
        double r183505 = x;
        double r183506 = 1.0;
        double r183507 = y;
        double r183508 = r183506 - r183507;
        double r183509 = r183505 / r183508;
        double r183510 = r183507 / r183508;
        double r183511 = r183509 - r183510;
        return r183511;
}

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 2019353 
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  :precision binary64
  (/ (- x y) (- 1 y)))