Average Error: 0.0 → 0.0
Time: 3.1s
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 r144297 = x;
        double r144298 = y;
        double r144299 = r144297 - r144298;
        double r144300 = 1.0;
        double r144301 = r144300 - r144298;
        double r144302 = r144299 / r144301;
        return r144302;
}
↓
double f(double x, double y) {
        double r144303 = x;
        double r144304 = 1.0;
        double r144305 = y;
        double r144306 = r144304 - r144305;
        double r144307 = r144303 / r144306;
        double r144308 = r144305 / r144306;
        double r144309 = r144307 - r144308;
        return r144309;
}

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 2020024 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  :precision binary64
  (/ (- x y) (- 1 y)))