Average Error: 0.6 → 1.1
Time: 17.0s
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 r10704906 = 1.0;
        double r10704907 = x;
        double r10704908 = y;
        double r10704909 = z;
        double r10704910 = r10704908 - r10704909;
        double r10704911 = t;
        double r10704912 = r10704908 - r10704911;
        double r10704913 = r10704910 * r10704912;
        double r10704914 = r10704907 / r10704913;
        double r10704915 = r10704906 - r10704914;
        return r10704915;
}
↓
double f(double x, double y, double z, double t) {
        double r10704916 = 1.0;
        double r10704917 = x;
        double r10704918 = y;
        double r10704919 = z;
        double r10704920 = r10704918 - r10704919;
        double r10704921 = r10704917 / r10704920;
        double r10704922 = t;
        double r10704923 = r10704918 - r10704922;
        double r10704924 = r10704921 / r10704923;
        double r10704925 = r10704916 - r10704924;
        return r10704925;
}

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 2019170 +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)))))