Average Error: 0.5 → 1.2
Time: 6.3s
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 r249270 = 1.0;
        double r249271 = x;
        double r249272 = y;
        double r249273 = z;
        double r249274 = r249272 - r249273;
        double r249275 = t;
        double r249276 = r249272 - r249275;
        double r249277 = r249274 * r249276;
        double r249278 = r249271 / r249277;
        double r249279 = r249270 - r249278;
        return r249279;
}
↓
double f(double x, double y, double z, double t) {
        double r249280 = 1.0;
        double r249281 = 1.0;
        double r249282 = y;
        double r249283 = z;
        double r249284 = r249282 - r249283;
        double r249285 = r249281 / r249284;
        double r249286 = x;
        double r249287 = t;
        double r249288 = r249282 - r249287;
        double r249289 = r249286 / r249288;
        double r249290 = r249285 * r249289;
        double r249291 = r249280 - r249290;
        return r249291;
}

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 0.5

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

  3. Applied *-un-lft-identity0.5

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

  4. Applied times-frac1.2

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

  5. Final simplification1.2

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

Reproduce

herbie shell --seed 2020027 
(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)))))