Average Error: 0.0 → 0.0
Time: 7.8s
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 r213108 = x;
        double r213109 = y;
        double r213110 = r213108 - r213109;
        double r213111 = 1.0;
        double r213112 = r213111 - r213109;
        double r213113 = r213110 / r213112;
        return r213113;
}
↓
double f(double x, double y) {
        double r213114 = x;
        double r213115 = 1.0;
        double r213116 = y;
        double r213117 = r213115 - r213116;
        double r213118 = r213114 / r213117;
        double r213119 = r213116 / r213117;
        double r213120 = r213118 - r213119;
        return r213120;
}

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 2020046 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  :precision binary64
  (/ (- x y) (- 1 y)))