Average Error: 0.0 → 0.0
Time: 4.1s
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 r6764601 = x;
        double r6764602 = y;
        double r6764603 = r6764601 - r6764602;
        double r6764604 = 1.0;
        double r6764605 = r6764604 - r6764602;
        double r6764606 = r6764603 / r6764605;
        return r6764606;
}
↓
double f(double x, double y) {
        double r6764607 = x;
        double r6764608 = 1.0;
        double r6764609 = y;
        double r6764610 = r6764608 - r6764609;
        double r6764611 = r6764607 / r6764610;
        double r6764612 = r6764609 / r6764610;
        double r6764613 = r6764611 - r6764612;
        return r6764613;
}

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 2019171 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  (/ (- x y) (- 1.0 y)))