Average Error: 0.8 → 1.0
Time: 37.6s
Precision: 64
\[1 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}\]
↓
\[1 - \frac{1}{\frac{y - t}{x}} \cdot \frac{1}{y - z}\]
1 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}
↓
1 - \frac{1}{\frac{y - t}{x}} \cdot \frac{1}{y - z}
double f(double x, double y, double z, double t) {
        double r13445769 = 1.0;
        double r13445770 = x;
        double r13445771 = y;
        double r13445772 = z;
        double r13445773 = r13445771 - r13445772;
        double r13445774 = t;
        double r13445775 = r13445771 - r13445774;
        double r13445776 = r13445773 * r13445775;
        double r13445777 = r13445770 / r13445776;
        double r13445778 = r13445769 - r13445777;
        return r13445778;
}
↓
double f(double x, double y, double z, double t) {
        double r13445779 = 1.0;
        double r13445780 = 1.0;
        double r13445781 = y;
        double r13445782 = t;
        double r13445783 = r13445781 - r13445782;
        double r13445784 = x;
        double r13445785 = r13445783 / r13445784;
        double r13445786 = r13445780 / r13445785;
        double r13445787 = z;
        double r13445788 = r13445781 - r13445787;
        double r13445789 = r13445780 / r13445788;
        double r13445790 = r13445786 * r13445789;
        double r13445791 = r13445779 - r13445790;
        return r13445791;
}

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 0.8

    \[1 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}\]
  2. Using strategy rm

  3. Applied *-un-lft-identity0.8

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

  4. Applied times-frac1.0

    \[\leadsto 1 - \color{blue}{\frac{1}{y - z} \cdot \frac{x}{y - t}}\]
  5. Using strategy rm

  6. Applied clear-num1.0

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

  7. Final simplification1.0

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

Reproduce

herbie shell --seed 2019200 +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)))))