Average Error: 0.7 → 1.1
Time: 27.8s
Precision: 64
\[1.0 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}\]
↓
\[1.0 - \frac{\frac{x}{y - z}}{y - t}\]
1.0 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}
↓
1.0 - \frac{\frac{x}{y - z}}{y - t}
double f(double x, double y, double z, double t) {
        double r11694860 = 1.0;
        double r11694861 = x;
        double r11694862 = y;
        double r11694863 = z;
        double r11694864 = r11694862 - r11694863;
        double r11694865 = t;
        double r11694866 = r11694862 - r11694865;
        double r11694867 = r11694864 * r11694866;
        double r11694868 = r11694861 / r11694867;
        double r11694869 = r11694860 - r11694868;
        return r11694869;
}
↓
double f(double x, double y, double z, double t) {
        double r11694870 = 1.0;
        double r11694871 = x;
        double r11694872 = y;
        double r11694873 = z;
        double r11694874 = r11694872 - r11694873;
        double r11694875 = r11694871 / r11694874;
        double r11694876 = t;
        double r11694877 = r11694872 - r11694876;
        double r11694878 = r11694875 / r11694877;
        double r11694879 = r11694870 - r11694878;
        return r11694879;
}

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 associate-/r*1.1

    \[\leadsto 1.0 - \color{blue}{\frac{\frac{x}{y - z}}{y - t}}\]

  4. Final simplification1.1

    \[\leadsto 1.0 - \frac{\frac{x}{y - z}}{y - t}\]

Reproduce

herbie shell --seed 2019163 +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)))))