Average Error: 0.6 → 1.2
Time: 3.4s
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 r218719 = 1.0;
        double r218720 = x;
        double r218721 = y;
        double r218722 = z;
        double r218723 = r218721 - r218722;
        double r218724 = t;
        double r218725 = r218721 - r218724;
        double r218726 = r218723 * r218725;
        double r218727 = r218720 / r218726;
        double r218728 = r218719 - r218727;
        return r218728;
}
↓
double f(double x, double y, double z, double t) {
        double r218729 = 1.0;
        double r218730 = x;
        double r218731 = y;
        double r218732 = z;
        double r218733 = r218731 - r218732;
        double r218734 = r218730 / r218733;
        double r218735 = t;
        double r218736 = r218731 - r218735;
        double r218737 = r218734 / r218736;
        double r218738 = r218729 - r218737;
        return r218738;
}

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 2020020 +o rules:numerics
(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)))))