Average Error: 0.0 → 0.0
Time: 7.1s
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 r7744297 = x;
        double r7744298 = y;
        double r7744299 = r7744297 - r7744298;
        double r7744300 = 1.0;
        double r7744301 = r7744300 - r7744298;
        double r7744302 = r7744299 / r7744301;
        return r7744302;
}
↓
double f(double x, double y) {
        double r7744303 = x;
        double r7744304 = 1.0;
        double r7744305 = y;
        double r7744306 = r7744304 - r7744305;
        double r7744307 = r7744303 / r7744306;
        double r7744308 = r7744305 / r7744306;
        double r7744309 = r7744307 - r7744308;
        return r7744309;
}

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 2019192 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  (/ (- x y) (- 1.0 y)))