Average Error: 0.6 → 0.6
Time: 17.0s
Precision: 64
\[1 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}\]
↓
\[1 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}\]
1 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}
↓
1 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}
double f(double x, double y, double z, double t) {
        double r168571 = 1.0;
        double r168572 = x;
        double r168573 = y;
        double r168574 = z;
        double r168575 = r168573 - r168574;
        double r168576 = t;
        double r168577 = r168573 - r168576;
        double r168578 = r168575 * r168577;
        double r168579 = r168572 / r168578;
        double r168580 = r168571 - r168579;
        return r168580;
}
↓
double f(double x, double y, double z, double t) {
        double r168581 = 1.0;
        double r168582 = x;
        double r168583 = y;
        double r168584 = z;
        double r168585 = r168583 - r168584;
        double r168586 = t;
        double r168587 = r168583 - r168586;
        double r168588 = r168585 * r168587;
        double r168589 = r168582 / r168588;
        double r168590 = r168581 - r168589;
        return r168590;
}

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. Simplified0.6

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

  3. Final simplification0.6

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

Reproduce

herbie shell --seed 2019196 +o rules:numerics
(FPCore (x y z t)
  :name "Data.Random.Distribution.Triangular:triangularCDF from random-fu-0.2.6.2, A"
  (- 1.0 (/ x (* (- y z) (- y t)))))