Average Error: 0.6 → 1.2
Time: 2.6s
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 r232214 = 1.0;
        double r232215 = x;
        double r232216 = y;
        double r232217 = z;
        double r232218 = r232216 - r232217;
        double r232219 = t;
        double r232220 = r232216 - r232219;
        double r232221 = r232218 * r232220;
        double r232222 = r232215 / r232221;
        double r232223 = r232214 - r232222;
        return r232223;
}
↓
double f(double x, double y, double z, double t) {
        double r232224 = 1.0;
        double r232225 = x;
        double r232226 = y;
        double r232227 = z;
        double r232228 = r232226 - r232227;
        double r232229 = r232225 / r232228;
        double r232230 = t;
        double r232231 = r232226 - r232230;
        double r232232 = r232229 / r232231;
        double r232233 = r232224 - r232232;
        return r232233;
}

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*1.2

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

  4. Final simplification1.2

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

Reproduce

herbie shell --seed 2020025 
(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)))))