Average Error: 0.0 → 0.0
Time: 1.3s
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 r221175 = x;
        double r221176 = y;
        double r221177 = r221175 - r221176;
        double r221178 = 1.0;
        double r221179 = r221178 - r221176;
        double r221180 = r221177 / r221179;
        return r221180;
}
↓
double f(double x, double y) {
        double r221181 = x;
        double r221182 = 1.0;
        double r221183 = y;
        double r221184 = r221182 - r221183;
        double r221185 = r221181 / r221184;
        double r221186 = r221183 / r221184;
        double r221187 = r221185 - r221186;
        return r221187;
}

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 2019353 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  :precision binary64
  (/ (- x y) (- 1 y)))