Average Error: 0.7 → 0.7
Time: 22.4s
Precision: 64
\[1.0 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}\]
↓
\[1.0 - \frac{1}{\frac{\left(y - t\right) \cdot \left(y - z\right)}{x}}\]
1.0 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}
↓
1.0 - \frac{1}{\frac{\left(y - t\right) \cdot \left(y - z\right)}{x}}
double f(double x, double y, double z, double t) {
        double r8658831 = 1.0;
        double r8658832 = x;
        double r8658833 = y;
        double r8658834 = z;
        double r8658835 = r8658833 - r8658834;
        double r8658836 = t;
        double r8658837 = r8658833 - r8658836;
        double r8658838 = r8658835 * r8658837;
        double r8658839 = r8658832 / r8658838;
        double r8658840 = r8658831 - r8658839;
        return r8658840;
}
↓
double f(double x, double y, double z, double t) {
        double r8658841 = 1.0;
        double r8658842 = 1.0;
        double r8658843 = y;
        double r8658844 = t;
        double r8658845 = r8658843 - r8658844;
        double r8658846 = z;
        double r8658847 = r8658843 - r8658846;
        double r8658848 = r8658845 * r8658847;
        double r8658849 = x;
        double r8658850 = r8658848 / r8658849;
        double r8658851 = r8658842 / r8658850;
        double r8658852 = r8658841 - r8658851;
        return r8658852;
}

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

    \[1.0 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}\]
  2. Using strategy rm

  3. Applied clear-num0.7

    \[\leadsto 1.0 - \color{blue}{\frac{1}{\frac{\left(y - z\right) \cdot \left(y - t\right)}{x}}}\]

  4. Final simplification0.7

    \[\leadsto 1.0 - \frac{1}{\frac{\left(y - t\right) \cdot \left(y - z\right)}{x}}\]

Reproduce

herbie shell --seed 2019164 +o rules:numerics
(FPCore (x y z t)
  :name "Data.Random.Distribution.Triangular:triangularCDF from random-fu-0.2.6.2, A"
  (- 1.0 (/ x (* (- y z) (- y t)))))