Average Error: 0.6 → 1.2
Time: 15.7s
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 r13303755 = 1.0;
        double r13303756 = x;
        double r13303757 = y;
        double r13303758 = z;
        double r13303759 = r13303757 - r13303758;
        double r13303760 = t;
        double r13303761 = r13303757 - r13303760;
        double r13303762 = r13303759 * r13303761;
        double r13303763 = r13303756 / r13303762;
        double r13303764 = r13303755 - r13303763;
        return r13303764;
}
↓
double f(double x, double y, double z, double t) {
        double r13303765 = 1.0;
        double r13303766 = x;
        double r13303767 = y;
        double r13303768 = z;
        double r13303769 = r13303767 - r13303768;
        double r13303770 = r13303766 / r13303769;
        double r13303771 = t;
        double r13303772 = r13303767 - r13303771;
        double r13303773 = r13303770 / r13303772;
        double r13303774 = r13303765 - r13303773;
        return r13303774;
}

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*1.2

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

  4. Final simplification1.2

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

Reproduce

herbie shell --seed 2019172 
(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)))))