Average Error: 0.0 → 0.0
Time: 1.7s
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 r171414 = x;
        double r171415 = y;
        double r171416 = r171414 - r171415;
        double r171417 = 1.0;
        double r171418 = r171417 - r171415;
        double r171419 = r171416 / r171418;
        return r171419;
}
↓
double f(double x, double y) {
        double r171420 = x;
        double r171421 = 1.0;
        double r171422 = y;
        double r171423 = r171421 - r171422;
        double r171424 = r171420 / r171423;
        double r171425 = r171422 / r171423;
        double r171426 = r171424 - r171425;
        return r171426;
}

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 2020036 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  :precision binary64
  (/ (- x y) (- 1 y)))