Average Error: 0.0 → 0.0
Time: 2.4s
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 r168603 = x;
        double r168604 = y;
        double r168605 = r168603 - r168604;
        double r168606 = 1.0;
        double r168607 = r168606 - r168604;
        double r168608 = r168605 / r168607;
        return r168608;
}

double f(double x, double y) {
        double r168609 = x;
        double r168610 = 1.0;
        double r168611 = y;
        double r168612 = r168610 - r168611;
        double r168613 = r168609 / r168612;
        double r168614 = r168611 / r168612;
        double r168615 = r168613 - r168614;
        return r168615;
}

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 2020021 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  :precision binary64
  (/ (- x y) (- 1 y)))