Average Error: 0.7 → 1.2
Time: 4.7s
Precision: 64
\[1 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}\]
↓
\[1 - \frac{1}{\frac{y - z}{\frac{x}{y - t}}}\]
1 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}
↓
1 - \frac{1}{\frac{y - z}{\frac{x}{y - t}}}
double f(double x, double y, double z, double t) {
        double r327790 = 1.0;
        double r327791 = x;
        double r327792 = y;
        double r327793 = z;
        double r327794 = r327792 - r327793;
        double r327795 = t;
        double r327796 = r327792 - r327795;
        double r327797 = r327794 * r327796;
        double r327798 = r327791 / r327797;
        double r327799 = r327790 - r327798;
        return r327799;
}
↓
double f(double x, double y, double z, double t) {
        double r327800 = 1.0;
        double r327801 = 1.0;
        double r327802 = y;
        double r327803 = z;
        double r327804 = r327802 - r327803;
        double r327805 = x;
        double r327806 = t;
        double r327807 = r327802 - r327806;
        double r327808 = r327805 / r327807;
        double r327809 = r327804 / r327808;
        double r327810 = r327801 / r327809;
        double r327811 = r327800 - r327810;
        return r327811;
}

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 clear-num0.7

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

  5. Applied associate-/l*1.2

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

  6. Final simplification1.2

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

Reproduce

herbie shell --seed 2020065 
(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)))))