Average Error: 0.5 → 1.0
Time: 11.2s
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 r172682 = 1.0;
        double r172683 = x;
        double r172684 = y;
        double r172685 = z;
        double r172686 = r172684 - r172685;
        double r172687 = t;
        double r172688 = r172684 - r172687;
        double r172689 = r172686 * r172688;
        double r172690 = r172683 / r172689;
        double r172691 = r172682 - r172690;
        return r172691;
}
↓
double f(double x, double y, double z, double t) {
        double r172692 = 1.0;
        double r172693 = x;
        double r172694 = y;
        double r172695 = z;
        double r172696 = r172694 - r172695;
        double r172697 = r172693 / r172696;
        double r172698 = t;
        double r172699 = r172694 - r172698;
        double r172700 = r172697 / r172699;
        double r172701 = r172692 - r172700;
        return r172701;
}

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

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

  3. Applied associate-/r*1.0

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

  4. Final simplification1.0

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

Reproduce

herbie shell --seed 2019322 
(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)))))