Average Error: 0.6 → 1.0
Time: 15.7s
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 r214399 = 1.0;
        double r214400 = x;
        double r214401 = y;
        double r214402 = z;
        double r214403 = r214401 - r214402;
        double r214404 = t;
        double r214405 = r214401 - r214404;
        double r214406 = r214403 * r214405;
        double r214407 = r214400 / r214406;
        double r214408 = r214399 - r214407;
        return r214408;
}
↓
double f(double x, double y, double z, double t) {
        double r214409 = 1.0;
        double r214410 = 1.0;
        double r214411 = y;
        double r214412 = z;
        double r214413 = r214411 - r214412;
        double r214414 = r214410 / r214413;
        double r214415 = x;
        double r214416 = t;
        double r214417 = r214411 - r214416;
        double r214418 = r214415 / r214417;
        double r214419 = r214414 * r214418;
        double r214420 = r214409 - r214419;
        return r214420;
}

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 *-un-lft-identity0.6

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

  4. Applied times-frac1.0

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

  5. Final simplification1.0

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

Reproduce

herbie shell --seed 2019323 
(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)))))