Average Error: 0.6 → 1.2
Time: 24.3s
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 r14135819 = 1.0;
        double r14135820 = x;
        double r14135821 = y;
        double r14135822 = z;
        double r14135823 = r14135821 - r14135822;
        double r14135824 = t;
        double r14135825 = r14135821 - r14135824;
        double r14135826 = r14135823 * r14135825;
        double r14135827 = r14135820 / r14135826;
        double r14135828 = r14135819 - r14135827;
        return r14135828;
}
↓
double f(double x, double y, double z, double t) {
        double r14135829 = 1.0;
        double r14135830 = x;
        double r14135831 = y;
        double r14135832 = z;
        double r14135833 = r14135831 - r14135832;
        double r14135834 = r14135830 / r14135833;
        double r14135835 = t;
        double r14135836 = r14135831 - r14135835;
        double r14135837 = r14135834 / r14135836;
        double r14135838 = r14135829 - r14135837;
        return r14135838;
}

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)))))