Average Error: 0.0 → 0.0
Time: 8.6s
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 r234503 = x;
        double r234504 = y;
        double r234505 = r234503 - r234504;
        double r234506 = 1.0;
        double r234507 = r234506 - r234504;
        double r234508 = r234505 / r234507;
        return r234508;
}
↓
double f(double x, double y) {
        double r234509 = x;
        double r234510 = 1.0;
        double r234511 = y;
        double r234512 = r234510 - r234511;
        double r234513 = r234509 / r234512;
        double r234514 = r234511 / r234512;
        double r234515 = r234513 - r234514;
        return r234515;
}

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 2020047 
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  :precision binary64
  (/ (- x y) (- 1 y)))