Average Error: 0.0 → 0.0
Time: 1.3s
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 r158379 = x;
        double r158380 = y;
        double r158381 = r158379 - r158380;
        double r158382 = 1.0;
        double r158383 = r158382 - r158380;
        double r158384 = r158381 / r158383;
        return r158384;
}
↓
double f(double x, double y) {
        double r158385 = x;
        double r158386 = 1.0;
        double r158387 = y;
        double r158388 = r158386 - r158387;
        double r158389 = r158385 / r158388;
        double r158390 = r158387 / r158388;
        double r158391 = r158389 - r158390;
        return r158391;
}

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