Average Error: 0.0 → 0.0
Time: 1.9s
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 r156047 = x;
        double r156048 = y;
        double r156049 = r156047 - r156048;
        double r156050 = 1.0;
        double r156051 = r156050 - r156048;
        double r156052 = r156049 / r156051;
        return r156052;
}
↓
double f(double x, double y) {
        double r156053 = x;
        double r156054 = 1.0;
        double r156055 = y;
        double r156056 = r156054 - r156055;
        double r156057 = r156053 / r156056;
        double r156058 = r156055 / r156056;
        double r156059 = r156057 - r156058;
        return r156059;
}

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 2020036 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  :precision binary64
  (/ (- x y) (- 1 y)))