Average Error: 0.6 → 1.0
Time: 16.9s
Precision: 64
\[1 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}\]
↓
\[1 - \frac{1}{y - z} \cdot \frac{x}{y - t}\]
1 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}
↓
1 - \frac{1}{y - z} \cdot \frac{x}{y - t}
double f(double x, double y, double z, double t) {
        double r139919 = 1.0;
        double r139920 = x;
        double r139921 = y;
        double r139922 = z;
        double r139923 = r139921 - r139922;
        double r139924 = t;
        double r139925 = r139921 - r139924;
        double r139926 = r139923 * r139925;
        double r139927 = r139920 / r139926;
        double r139928 = r139919 - r139927;
        return r139928;
}
↓
double f(double x, double y, double z, double t) {
        double r139929 = 1.0;
        double r139930 = 1.0;
        double r139931 = y;
        double r139932 = z;
        double r139933 = r139931 - r139932;
        double r139934 = r139930 / r139933;
        double r139935 = x;
        double r139936 = t;
        double r139937 = r139931 - r139936;
        double r139938 = r139935 / r139937;
        double r139939 = r139934 * r139938;
        double r139940 = r139929 - r139939;
        return r139940;
}

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 *-un-lft-identity0.6

    \[\leadsto 1 - \frac{\color{blue}{1 \cdot x}}{\left(y - z\right) \cdot \left(y - t\right)}\]

  4. Applied times-frac1.0

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

  5. Final simplification1.0

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

Reproduce

herbie shell --seed 2019323 +o rules:numerics
(FPCore (x y z t)
  :name "Data.Random.Distribution.Triangular:triangularCDF from random-fu-0.2.6.2, A"
  :precision binary64
  (- 1 (/ x (* (- y z) (- y t)))))