Average Error: 0.5 → 0.5
Time: 17.3s
Precision: 64
\[1.0 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}\]
↓
\[1.0 - \frac{x}{\left(y - t\right) \cdot \left(y - z\right)}\]
1.0 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}
↓
1.0 - \frac{x}{\left(y - t\right) \cdot \left(y - z\right)}
double f(double x, double y, double z, double t) {
        double r9029915 = 1.0;
        double r9029916 = x;
        double r9029917 = y;
        double r9029918 = z;
        double r9029919 = r9029917 - r9029918;
        double r9029920 = t;
        double r9029921 = r9029917 - r9029920;
        double r9029922 = r9029919 * r9029921;
        double r9029923 = r9029916 / r9029922;
        double r9029924 = r9029915 - r9029923;
        return r9029924;
}
↓
double f(double x, double y, double z, double t) {
        double r9029925 = 1.0;
        double r9029926 = x;
        double r9029927 = y;
        double r9029928 = t;
        double r9029929 = r9029927 - r9029928;
        double r9029930 = z;
        double r9029931 = r9029927 - r9029930;
        double r9029932 = r9029929 * r9029931;
        double r9029933 = r9029926 / r9029932;
        double r9029934 = r9029925 - r9029933;
        return r9029934;
}

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 0.5

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

  2. Final simplification0.5

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

Reproduce

herbie shell --seed 2019168 +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)))))