Average Error: 0.6 → 0.9
Time: 9.6s
Precision: 64
\[1 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}\]
↓
\[1 - \frac{\frac{x}{y - z}}{y - t}\]
1 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}
↓
1 - \frac{\frac{x}{y - z}}{y - t}
double f(double x, double y, double z, double t) {
        double r184366 = 1.0;
        double r184367 = x;
        double r184368 = y;
        double r184369 = z;
        double r184370 = r184368 - r184369;
        double r184371 = t;
        double r184372 = r184368 - r184371;
        double r184373 = r184370 * r184372;
        double r184374 = r184367 / r184373;
        double r184375 = r184366 - r184374;
        return r184375;
}
↓
double f(double x, double y, double z, double t) {
        double r184376 = 1.0;
        double r184377 = x;
        double r184378 = y;
        double r184379 = z;
        double r184380 = r184378 - r184379;
        double r184381 = r184377 / r184380;
        double r184382 = t;
        double r184383 = r184378 - r184382;
        double r184384 = r184381 / r184383;
        double r184385 = r184376 - r184384;
        return r184385;
}

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 associate-/r*0.9

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

  4. Final simplification0.9

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

Reproduce

herbie shell --seed 2019297 
(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)))))