Average Error: 0.0 → 0.0
Time: 12.4s
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 r99960 = x;
        double r99961 = y;
        double r99962 = r99960 - r99961;
        double r99963 = 1.0;
        double r99964 = r99963 - r99961;
        double r99965 = r99962 / r99964;
        return r99965;
}
↓
double f(double x, double y) {
        double r99966 = x;
        double r99967 = 1.0;
        double r99968 = y;
        double r99969 = r99967 - r99968;
        double r99970 = r99966 / r99969;
        double r99971 = r99968 / r99969;
        double r99972 = r99970 - r99971;
        return r99972;
}

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 2019323 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  :precision binary64
  (/ (- x y) (- 1 y)))