Average Error: 0.0 → 0.0
Time: 2.2s
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 r162388 = x;
        double r162389 = y;
        double r162390 = r162388 - r162389;
        double r162391 = 1.0;
        double r162392 = r162391 - r162389;
        double r162393 = r162390 / r162392;
        return r162393;
}
↓
double f(double x, double y) {
        double r162394 = x;
        double r162395 = 1.0;
        double r162396 = y;
        double r162397 = r162395 - r162396;
        double r162398 = r162394 / r162397;
        double r162399 = r162396 / r162397;
        double r162400 = r162398 - r162399;
        return r162400;
}

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 2020065 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  :precision binary64
  (/ (- x y) (- 1 y)))