Average Error: 0.0 → 0.0
Time: 9.3s
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 r9436191 = x;
        double r9436192 = y;
        double r9436193 = r9436191 - r9436192;
        double r9436194 = 1.0;
        double r9436195 = r9436194 - r9436192;
        double r9436196 = r9436193 / r9436195;
        return r9436196;
}
↓
double f(double x, double y) {
        double r9436197 = x;
        double r9436198 = 1.0;
        double r9436199 = y;
        double r9436200 = r9436198 - r9436199;
        double r9436201 = r9436197 / r9436200;
        double r9436202 = r9436199 / r9436200;
        double r9436203 = r9436201 - r9436202;
        return r9436203;
}

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 2019170 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  (/ (- x y) (- 1.0 y)))