Average Error: 0.6 → 1.2
Time: 22.0s
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 r7857800 = 1.0;
        double r7857801 = x;
        double r7857802 = y;
        double r7857803 = z;
        double r7857804 = r7857802 - r7857803;
        double r7857805 = t;
        double r7857806 = r7857802 - r7857805;
        double r7857807 = r7857804 * r7857806;
        double r7857808 = r7857801 / r7857807;
        double r7857809 = r7857800 - r7857808;
        return r7857809;
}
↓
double f(double x, double y, double z, double t) {
        double r7857810 = 1.0;
        double r7857811 = x;
        double r7857812 = y;
        double r7857813 = z;
        double r7857814 = r7857812 - r7857813;
        double r7857815 = r7857811 / r7857814;
        double r7857816 = t;
        double r7857817 = r7857812 - r7857816;
        double r7857818 = r7857815 / r7857817;
        double r7857819 = r7857810 - r7857818;
        return r7857819;
}

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 +o rules:numerics
(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)))))