Average Error: 0.6 → 1.1
Time: 15.1s
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 r12630863 = 1.0;
        double r12630864 = x;
        double r12630865 = y;
        double r12630866 = z;
        double r12630867 = r12630865 - r12630866;
        double r12630868 = t;
        double r12630869 = r12630865 - r12630868;
        double r12630870 = r12630867 * r12630869;
        double r12630871 = r12630864 / r12630870;
        double r12630872 = r12630863 - r12630871;
        return r12630872;
}
↓
double f(double x, double y, double z, double t) {
        double r12630873 = 1.0;
        double r12630874 = x;
        double r12630875 = y;
        double r12630876 = z;
        double r12630877 = r12630875 - r12630876;
        double r12630878 = r12630874 / r12630877;
        double r12630879 = t;
        double r12630880 = r12630875 - r12630879;
        double r12630881 = r12630878 / r12630880;
        double r12630882 = r12630873 - r12630881;
        return r12630882;
}

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 0.6

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

  3. Applied associate-/r*1.1

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

  4. Final simplification1.1

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

Reproduce

herbie shell --seed 2019170 
(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)))))