Average Error: 0.7 → 0.7
Time: 17.1s
Precision: 64
\[1 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}\]
↓
\[1 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}\]
1 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}
↓
1 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}
double f(double x, double y, double z, double t) {
        double r18996144 = 1.0;
        double r18996145 = x;
        double r18996146 = y;
        double r18996147 = z;
        double r18996148 = r18996146 - r18996147;
        double r18996149 = t;
        double r18996150 = r18996146 - r18996149;
        double r18996151 = r18996148 * r18996150;
        double r18996152 = r18996145 / r18996151;
        double r18996153 = r18996144 - r18996152;
        return r18996153;
}
↓
double f(double x, double y, double z, double t) {
        double r18996154 = 1.0;
        double r18996155 = x;
        double r18996156 = y;
        double r18996157 = z;
        double r18996158 = r18996156 - r18996157;
        double r18996159 = t;
        double r18996160 = r18996156 - r18996159;
        double r18996161 = r18996158 * r18996160;
        double r18996162 = r18996155 / r18996161;
        double r18996163 = r18996154 - r18996162;
        return r18996163;
}

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 0.7

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

  3. Applied *-un-lft-identity0.7

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

  4. Applied times-frac1.1

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

  6. Applied frac-times0.7

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

  7. Simplified0.7

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

  8. Final simplification0.7

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

Reproduce

herbie shell --seed 2019174 +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)))))