Average Error: 0.0 → 0.0
Time: 8.9s
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 r218602 = x;
        double r218603 = y;
        double r218604 = r218602 - r218603;
        double r218605 = 1.0;
        double r218606 = r218605 - r218603;
        double r218607 = r218604 / r218606;
        return r218607;
}
↓
double f(double x, double y) {
        double r218608 = x;
        double r218609 = 1.0;
        double r218610 = y;
        double r218611 = r218609 - r218610;
        double r218612 = r218608 / r218611;
        double r218613 = r218610 / r218611;
        double r218614 = r218612 - r218613;
        return r218614;
}

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