Average Error: 0.7 → 0.7
Time: 15.5s
Precision: 64
\[1.0 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}\]
↓
\[1.0 - \frac{1}{\frac{\left(y - t\right) \cdot \left(y - z\right)}{x}}\]
1.0 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}
↓
1.0 - \frac{1}{\frac{\left(y - t\right) \cdot \left(y - z\right)}{x}}
double f(double x, double y, double z, double t) {
        double r9812279 = 1.0;
        double r9812280 = x;
        double r9812281 = y;
        double r9812282 = z;
        double r9812283 = r9812281 - r9812282;
        double r9812284 = t;
        double r9812285 = r9812281 - r9812284;
        double r9812286 = r9812283 * r9812285;
        double r9812287 = r9812280 / r9812286;
        double r9812288 = r9812279 - r9812287;
        return r9812288;
}
↓
double f(double x, double y, double z, double t) {
        double r9812289 = 1.0;
        double r9812290 = 1.0;
        double r9812291 = y;
        double r9812292 = t;
        double r9812293 = r9812291 - r9812292;
        double r9812294 = z;
        double r9812295 = r9812291 - r9812294;
        double r9812296 = r9812293 * r9812295;
        double r9812297 = x;
        double r9812298 = r9812296 / r9812297;
        double r9812299 = r9812290 / r9812298;
        double r9812300 = r9812289 - r9812299;
        return r9812300;
}

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

    \[1.0 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}\]
  2. Using strategy rm

  3. Applied clear-num0.7

    \[\leadsto 1.0 - \color{blue}{\frac{1}{\frac{\left(y - z\right) \cdot \left(y - t\right)}{x}}}\]

  4. Final simplification0.7

    \[\leadsto 1.0 - \frac{1}{\frac{\left(y - t\right) \cdot \left(y - z\right)}{x}}\]

Reproduce

herbie shell --seed 2019164 
(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)))))