Average Error: 0.7 → 1.0
Time: 16.2s
Precision: 64
\[1 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}\]
↓
\[1 - \frac{\frac{x}{y - z}}{y - t}\]
1 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}
↓
1 - \frac{\frac{x}{y - z}}{y - t}
double f(double x, double y, double z, double t) {
        double r132866 = 1.0;
        double r132867 = x;
        double r132868 = y;
        double r132869 = z;
        double r132870 = r132868 - r132869;
        double r132871 = t;
        double r132872 = r132868 - r132871;
        double r132873 = r132870 * r132872;
        double r132874 = r132867 / r132873;
        double r132875 = r132866 - r132874;
        return r132875;
}
↓
double f(double x, double y, double z, double t) {
        double r132876 = 1.0;
        double r132877 = x;
        double r132878 = y;
        double r132879 = z;
        double r132880 = r132878 - r132879;
        double r132881 = r132877 / r132880;
        double r132882 = t;
        double r132883 = r132878 - r132882;
        double r132884 = r132881 / r132883;
        double r132885 = r132876 - r132884;
        return r132885;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.7

    \[1 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}\]
  2. Using strategy rm

  3. Applied associate-/r*1.0

    \[\leadsto 1 - \color{blue}{\frac{\frac{x}{y - z}}{y - t}}\]

  4. Final simplification1.0

    \[\leadsto 1 - \frac{\frac{x}{y - z}}{y - t}\]

Reproduce

herbie shell --seed 2019326 +o rules:numerics
(FPCore (x y z t)
  :name "Data.Random.Distribution.Triangular:triangularCDF from random-fu-0.2.6.2, A"
  :precision binary64
  (- 1 (/ x (* (- y z) (- y t)))))