Average Error: 0.0 → 0.0
Time: 13.3s
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 r121050 = x;
        double r121051 = y;
        double r121052 = r121050 - r121051;
        double r121053 = 1.0;
        double r121054 = r121053 - r121051;
        double r121055 = r121052 / r121054;
        return r121055;
}
↓
double f(double x, double y) {
        double r121056 = x;
        double r121057 = 1.0;
        double r121058 = y;
        double r121059 = r121057 - r121058;
        double r121060 = r121056 / r121059;
        double r121061 = r121058 / r121059;
        double r121062 = r121060 - r121061;
        return r121062;
}

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 2019212 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  :precision binary64
  (/ (- x y) (- 1 y)))