Average Error: 0.0 → 0.0
Time: 3.4s
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 r188677 = x;
        double r188678 = y;
        double r188679 = r188677 - r188678;
        double r188680 = 1.0;
        double r188681 = r188680 - r188678;
        double r188682 = r188679 / r188681;
        return r188682;
}
↓
double f(double x, double y) {
        double r188683 = x;
        double r188684 = 1.0;
        double r188685 = y;
        double r188686 = r188684 - r188685;
        double r188687 = r188683 / r188686;
        double r188688 = r188685 / r188686;
        double r188689 = r188687 - r188688;
        return r188689;
}

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)))