Average Error: 0.5 → 1.0
Time: 2.7s
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 r243041 = 1.0;
        double r243042 = x;
        double r243043 = y;
        double r243044 = z;
        double r243045 = r243043 - r243044;
        double r243046 = t;
        double r243047 = r243043 - r243046;
        double r243048 = r243045 * r243047;
        double r243049 = r243042 / r243048;
        double r243050 = r243041 - r243049;
        return r243050;
}
↓
double f(double x, double y, double z, double t) {
        double r243051 = 1.0;
        double r243052 = x;
        double r243053 = y;
        double r243054 = z;
        double r243055 = r243053 - r243054;
        double r243056 = r243052 / r243055;
        double r243057 = t;
        double r243058 = r243053 - r243057;
        double r243059 = r243056 / r243058;
        double r243060 = r243051 - r243059;
        return r243060;
}

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 0.5

    \[1 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}\]
  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 2019322 
(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)))))