Average Error: 7.8 → 0.7
Time: 17.2s
Precision: 64
\[\frac{x}{\left(y - z\right) \cdot \left(t - z\right)}\]
↓
\[\begin{array}{l} \mathbf{if}\;\left(t - z\right) \cdot \left(y - z\right) \le -3.493689169084776416276579812094604550093 \cdot 10^{288}:\\ \;\;\;\;\frac{\frac{x}{y - z}}{t - z}\\ \mathbf{elif}\;\left(t - z\right) \cdot \left(y - z\right) \le 8.429748856735242084599883914763475834359 \cdot 10^{216}:\\ \;\;\;\;\frac{x}{\left(t - z\right) \cdot \left(y - z\right)}\\ \mathbf{else}:\\ \;\;\;\;\frac{\frac{x}{y - z}}{t - z}\\ \end{array}\]
\frac{x}{\left(y - z\right) \cdot \left(t - z\right)}
↓
\begin{array}{l}
\mathbf{if}\;\left(t - z\right) \cdot \left(y - z\right) \le -3.493689169084776416276579812094604550093 \cdot 10^{288}:\\
\;\;\;\;\frac{\frac{x}{y - z}}{t - z}\\

\mathbf{elif}\;\left(t - z\right) \cdot \left(y - z\right) \le 8.429748856735242084599883914763475834359 \cdot 10^{216}:\\
\;\;\;\;\frac{x}{\left(t - z\right) \cdot \left(y - z\right)}\\

\mathbf{else}:\\
\;\;\;\;\frac{\frac{x}{y - z}}{t - z}\\

\end{array}
double f(double x, double y, double z, double t) {
        double r38680614 = x;
        double r38680615 = y;
        double r38680616 = z;
        double r38680617 = r38680615 - r38680616;
        double r38680618 = t;
        double r38680619 = r38680618 - r38680616;
        double r38680620 = r38680617 * r38680619;
        double r38680621 = r38680614 / r38680620;
        return r38680621;
}
↓
double f(double x, double y, double z, double t) {
        double r38680622 = t;
        double r38680623 = z;
        double r38680624 = r38680622 - r38680623;
        double r38680625 = y;
        double r38680626 = r38680625 - r38680623;
        double r38680627 = r38680624 * r38680626;
        double r38680628 = -3.4936891690847764e+288;
        bool r38680629 = r38680627 <= r38680628;
        double r38680630 = x;
        double r38680631 = r38680630 / r38680626;
        double r38680632 = r38680631 / r38680624;
        double r38680633 = 8.429748856735242e+216;
        bool r38680634 = r38680627 <= r38680633;
        double r38680635 = r38680630 / r38680627;
        double r38680636 = r38680634 ? r38680635 : r38680632;
        double r38680637 = r38680629 ? r38680632 : r38680636;
        return r38680637;
}

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

Target

Original7.8
Target8.7
Herbie0.7
\[\begin{array}{l} \mathbf{if}\;\frac{x}{\left(y - z\right) \cdot \left(t - z\right)} \lt 0.0:\\ \;\;\;\;\frac{\frac{x}{y - z}}{t - z}\\ \mathbf{else}:\\ \;\;\;\;x \cdot \frac{1}{\left(y - z\right) \cdot \left(t - z\right)}\\ \end{array}\]

Derivation

  1. Split input into 2 regimes

  2. if (* (- y z) (- t z)) < -3.4936891690847764e+288 or 8.429748856735242e+216 < (* (- y z) (- t z))

    1. Initial program 14.0

      \[\frac{x}{\left(y - z\right) \cdot \left(t - z\right)}\]
    2. Using strategy rm

    3. Applied associate-/r*0.1

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

    if -3.4936891690847764e+288 < (* (- y z) (- t z)) < 8.429748856735242e+216

    1. Initial program 1.4

      \[\frac{x}{\left(y - z\right) \cdot \left(t - z\right)}\]
  3. Recombined 2 regimes into one program.

  4. Final simplification0.7

    \[\leadsto \begin{array}{l} \mathbf{if}\;\left(t - z\right) \cdot \left(y - z\right) \le -3.493689169084776416276579812094604550093 \cdot 10^{288}:\\ \;\;\;\;\frac{\frac{x}{y - z}}{t - z}\\ \mathbf{elif}\;\left(t - z\right) \cdot \left(y - z\right) \le 8.429748856735242084599883914763475834359 \cdot 10^{216}:\\ \;\;\;\;\frac{x}{\left(t - z\right) \cdot \left(y - z\right)}\\ \mathbf{else}:\\ \;\;\;\;\frac{\frac{x}{y - z}}{t - z}\\ \end{array}\]

Reproduce

herbie shell --seed 2019174 
(FPCore (x y z t)
  :name "Data.Random.Distribution.Triangular:triangularCDF from random-fu-0.2.6.2, B"

  :herbie-target
  (if (< (/ x (* (- y z) (- t z))) 0.0) (/ (/ x (- y z)) (- t z)) (* x (/ 1.0 (* (- y z) (- t z)))))

  (/ x (* (- y z) (- t z))))