Average Error: 0.6 → 0.6
Time: 3.1s
Precision: 64
\[1 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}\]
↓
\[1 - \frac{x}{{\left(\left(y - z\right) \cdot \left(y - t\right)\right)}^{1}}\]
1 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}
↓
1 - \frac{x}{{\left(\left(y - z\right) \cdot \left(y - t\right)\right)}^{1}}
double f(double x, double y, double z, double t) {
        double r243688 = 1.0;
        double r243689 = x;
        double r243690 = y;
        double r243691 = z;
        double r243692 = r243690 - r243691;
        double r243693 = t;
        double r243694 = r243690 - r243693;
        double r243695 = r243692 * r243694;
        double r243696 = r243689 / r243695;
        double r243697 = r243688 - r243696;
        return r243697;
}
↓
double f(double x, double y, double z, double t) {
        double r243698 = 1.0;
        double r243699 = x;
        double r243700 = y;
        double r243701 = z;
        double r243702 = r243700 - r243701;
        double r243703 = t;
        double r243704 = r243700 - r243703;
        double r243705 = r243702 * r243704;
        double r243706 = 1.0;
        double r243707 = pow(r243705, r243706);
        double r243708 = r243699 / r243707;
        double r243709 = r243698 - r243708;
        return r243709;
}

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 pow10.6

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

  4. Applied pow10.6

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

  5. Applied pow-prod-down0.6

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

  6. Final simplification0.6

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

Reproduce

herbie shell --seed 2020049 
(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)))))