Average Error: 0.0 → 0.0
Time: 1.0s
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 r164085 = x;
        double r164086 = y;
        double r164087 = r164085 - r164086;
        double r164088 = 1.0;
        double r164089 = r164088 - r164086;
        double r164090 = r164087 / r164089;
        return r164090;
}

double f(double x, double y) {
        double r164091 = x;
        double r164092 = 1.0;
        double r164093 = y;
        double r164094 = r164092 - r164093;
        double r164095 = r164091 / r164094;
        double r164096 = r164093 / r164094;
        double r164097 = r164095 - r164096;
        return r164097;
}

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 2020039 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  :precision binary64
  (/ (- x y) (- 1 y)))