Average Error: 0.0 → 0.0
Time: 18.1s
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 r7686083 = x;
        double r7686084 = y;
        double r7686085 = r7686083 - r7686084;
        double r7686086 = 1.0;
        double r7686087 = r7686086 - r7686084;
        double r7686088 = r7686085 / r7686087;
        return r7686088;
}
↓
double f(double x, double y) {
        double r7686089 = x;
        double r7686090 = 1.0;
        double r7686091 = y;
        double r7686092 = r7686090 - r7686091;
        double r7686093 = r7686089 / r7686092;
        double r7686094 = r7686091 / r7686092;
        double r7686095 = r7686093 - r7686094;
        return r7686095;
}

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 2019174 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  (/ (- x y) (- 1.0 y)))