Average Error: 0.6 → 1.0
Time: 17.2s
Precision: 64
\[1 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}\]
↓
\[1 - \frac{1}{y - z} \cdot \frac{x}{y - t}\]
1 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}
↓
1 - \frac{1}{y - z} \cdot \frac{x}{y - t}
double f(double x, double y, double z, double t) {
        double r174561 = 1.0;
        double r174562 = x;
        double r174563 = y;
        double r174564 = z;
        double r174565 = r174563 - r174564;
        double r174566 = t;
        double r174567 = r174563 - r174566;
        double r174568 = r174565 * r174567;
        double r174569 = r174562 / r174568;
        double r174570 = r174561 - r174569;
        return r174570;
}
↓
double f(double x, double y, double z, double t) {
        double r174571 = 1.0;
        double r174572 = 1.0;
        double r174573 = y;
        double r174574 = z;
        double r174575 = r174573 - r174574;
        double r174576 = r174572 / r174575;
        double r174577 = x;
        double r174578 = t;
        double r174579 = r174573 - r174578;
        double r174580 = r174577 / r174579;
        double r174581 = r174576 * r174580;
        double r174582 = r174571 - r174581;
        return r174582;
}

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 *-un-lft-identity0.6

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

  4. Applied times-frac1.0

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

  5. Final simplification1.0

    \[\leadsto 1 - \frac{1}{y - z} \cdot \frac{x}{y - t}\]

Reproduce

herbie shell --seed 2019323 +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)))))