Average Error: 0.6 → 0.6
Time: 14.5s
Precision: 64
\[1 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}\]
↓
\[1 - \frac{1}{\frac{\left(y - z\right) \cdot \left(y - t\right)}{x}}\]
1 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}
↓
1 - \frac{1}{\frac{\left(y - z\right) \cdot \left(y - t\right)}{x}}
double f(double x, double y, double z, double t) {
        double r155157 = 1.0;
        double r155158 = x;
        double r155159 = y;
        double r155160 = z;
        double r155161 = r155159 - r155160;
        double r155162 = t;
        double r155163 = r155159 - r155162;
        double r155164 = r155161 * r155163;
        double r155165 = r155158 / r155164;
        double r155166 = r155157 - r155165;
        return r155166;
}
↓
double f(double x, double y, double z, double t) {
        double r155167 = 1.0;
        double r155168 = 1.0;
        double r155169 = y;
        double r155170 = z;
        double r155171 = r155169 - r155170;
        double r155172 = t;
        double r155173 = r155169 - r155172;
        double r155174 = r155171 * r155173;
        double r155175 = x;
        double r155176 = r155174 / r155175;
        double r155177 = r155168 / r155176;
        double r155178 = r155167 - r155177;
        return r155178;
}

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 clear-num0.6

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

  4. Simplified0.6

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

  5. Final simplification0.6

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

Reproduce

herbie shell --seed 2019195 
(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)))))