Average Error: 0.0 → 0.0
Time: 2.6s
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 r175555 = x;
        double r175556 = y;
        double r175557 = r175555 - r175556;
        double r175558 = 1.0;
        double r175559 = r175558 - r175556;
        double r175560 = r175557 / r175559;
        return r175560;
}
↓
double f(double x, double y) {
        double r175561 = x;
        double r175562 = 1.0;
        double r175563 = y;
        double r175564 = r175562 - r175563;
        double r175565 = r175561 / r175564;
        double r175566 = r175563 / r175564;
        double r175567 = r175565 - r175566;
        return r175567;
}

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 2020018 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  :precision binary64
  (/ (- x y) (- 1 y)))