Average Error: 0.6 → 1.1
Time: 19.2s
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 r202627 = 1.0;
        double r202628 = x;
        double r202629 = y;
        double r202630 = z;
        double r202631 = r202629 - r202630;
        double r202632 = t;
        double r202633 = r202629 - r202632;
        double r202634 = r202631 * r202633;
        double r202635 = r202628 / r202634;
        double r202636 = r202627 - r202635;
        return r202636;
}
↓
double f(double x, double y, double z, double t) {
        double r202637 = 1.0;
        double r202638 = x;
        double r202639 = y;
        double r202640 = z;
        double r202641 = r202639 - r202640;
        double r202642 = r202638 / r202641;
        double r202643 = t;
        double r202644 = r202639 - r202643;
        double r202645 = r202642 / r202644;
        double r202646 = r202637 - r202645;
        return r202646;
}

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 2019196 
(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)))))