Average Error: 0.6 → 0.7
Time: 3.8s
Precision: 64
\[1 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}\]
↓
\[1 - x \cdot \frac{1}{\left(y - z\right) \cdot \left(y - t\right)}\]
1 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}
↓
1 - x \cdot \frac{1}{\left(y - z\right) \cdot \left(y - t\right)}
double f(double x, double y, double z, double t) {
        double r265437 = 1.0;
        double r265438 = x;
        double r265439 = y;
        double r265440 = z;
        double r265441 = r265439 - r265440;
        double r265442 = t;
        double r265443 = r265439 - r265442;
        double r265444 = r265441 * r265443;
        double r265445 = r265438 / r265444;
        double r265446 = r265437 - r265445;
        return r265446;
}
↓
double f(double x, double y, double z, double t) {
        double r265447 = 1.0;
        double r265448 = x;
        double r265449 = 1.0;
        double r265450 = y;
        double r265451 = z;
        double r265452 = r265450 - r265451;
        double r265453 = t;
        double r265454 = r265450 - r265453;
        double r265455 = r265452 * r265454;
        double r265456 = r265449 / r265455;
        double r265457 = r265448 * r265456;
        double r265458 = r265447 - r265457;
        return r265458;
}

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 div-inv0.7

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

  4. Final simplification0.7

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

Reproduce

herbie shell --seed 2020036 
(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)))))