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 r144346 = x;
        double r144347 = y;
        double r144348 = r144346 - r144347;
        double r144349 = 1.0;
        double r144350 = r144349 - r144347;
        double r144351 = r144348 / r144350;
        return r144351;
}
↓
double f(double x, double y) {
        double r144352 = x;
        double r144353 = 1.0;
        double r144354 = y;
        double r144355 = r144353 - r144354;
        double r144356 = r144352 / r144355;
        double r144357 = r144354 / r144355;
        double r144358 = r144356 - r144357;
        return r144358;
}

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 2020100 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  :precision binary64
  (/ (- x y) (- 1 y)))