Average Error: 0.6 → 1.1
Time: 8.9s
Precision: 64
\[1 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}\]
↓
\[1 - \frac{x}{y - z} \cdot \frac{1}{y - t}\]
1 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}
↓
1 - \frac{x}{y - z} \cdot \frac{1}{y - t}
double f(double x, double y, double z, double t) {
        double r168781 = 1.0;
        double r168782 = x;
        double r168783 = y;
        double r168784 = z;
        double r168785 = r168783 - r168784;
        double r168786 = t;
        double r168787 = r168783 - r168786;
        double r168788 = r168785 * r168787;
        double r168789 = r168782 / r168788;
        double r168790 = r168781 - r168789;
        return r168790;
}
↓
double f(double x, double y, double z, double t) {
        double r168791 = 1.0;
        double r168792 = x;
        double r168793 = y;
        double r168794 = z;
        double r168795 = r168793 - r168794;
        double r168796 = r168792 / r168795;
        double r168797 = 1.0;
        double r168798 = t;
        double r168799 = r168793 - r168798;
        double r168800 = r168797 / r168799;
        double r168801 = r168796 * r168800;
        double r168802 = r168791 - r168801;
        return r168802;
}

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*1.0

    \[\leadsto 1 - \color{blue}{\frac{\frac{x}{y - z}}{y - t}}\]
  4. Using strategy rm

  5. Applied div-inv1.1

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

  6. Final simplification1.1

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

Reproduce

herbie shell --seed 2019303 
(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)))))