Average Error: 0.0 → 0.0
Time: 7.6s
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 r128448 = x;
        double r128449 = y;
        double r128450 = r128448 - r128449;
        double r128451 = 1.0;
        double r128452 = r128451 - r128449;
        double r128453 = r128450 / r128452;
        return r128453;
}
↓
double f(double x, double y) {
        double r128454 = x;
        double r128455 = 1.0;
        double r128456 = y;
        double r128457 = r128455 - r128456;
        double r128458 = r128454 / r128457;
        double r128459 = r128456 / r128457;
        double r128460 = r128458 - r128459;
        return r128460;
}

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 2019235 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  :precision binary64
  (/ (- x y) (- 1 y)))