Average Error: 0.0 → 0.0
Time: 3.3s
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 r160063 = x;
        double r160064 = y;
        double r160065 = r160063 - r160064;
        double r160066 = 1.0;
        double r160067 = r160066 - r160064;
        double r160068 = r160065 / r160067;
        return r160068;
}
↓
double f(double x, double y) {
        double r160069 = x;
        double r160070 = 1.0;
        double r160071 = y;
        double r160072 = r160070 - r160071;
        double r160073 = r160069 / r160072;
        double r160074 = r160071 / r160072;
        double r160075 = r160073 - r160074;
        return r160075;
}

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 2020047 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  :precision binary64
  (/ (- x y) (- 1 y)))