Average Error: 0.7 → 1.0
Time: 12.6s
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 r263751 = 1.0;
        double r263752 = x;
        double r263753 = y;
        double r263754 = z;
        double r263755 = r263753 - r263754;
        double r263756 = t;
        double r263757 = r263753 - r263756;
        double r263758 = r263755 * r263757;
        double r263759 = r263752 / r263758;
        double r263760 = r263751 - r263759;
        return r263760;
}
↓
double f(double x, double y, double z, double t) {
        double r263761 = 1.0;
        double r263762 = x;
        double r263763 = y;
        double r263764 = z;
        double r263765 = r263763 - r263764;
        double r263766 = r263762 / r263765;
        double r263767 = t;
        double r263768 = r263763 - r263767;
        double r263769 = r263766 / r263768;
        double r263770 = r263761 - r263769;
        return r263770;
}

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

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

  3. Applied associate-/r*1.0

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

  4. Final simplification1.0

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

Reproduce

herbie shell --seed 2019326 
(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)))))