Average Error: 7.8 → 0.7
Time: 22.6s
Precision: 64
\[\frac{x}{\left(y - z\right) \cdot \left(t - z\right)}\]
↓
\[\begin{array}{l} \mathbf{if}\;\left(t - z\right) \cdot \left(y - z\right) \le -3.493689169084776416276579812094604550093 \cdot 10^{288} \lor \neg \left(\left(t - z\right) \cdot \left(y - z\right) \le 8.429748856735242084599883914763475834359 \cdot 10^{216}\right):\\ \;\;\;\;\frac{\frac{x}{y - z}}{t - z}\\ \mathbf{else}:\\ \;\;\;\;\frac{x}{\left(t - z\right) \cdot \left(y - z\right)}\\ \end{array}\]
\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} \lor \neg \left(\left(t - z\right) \cdot \left(y - z\right) \le 8.429748856735242084599883914763475834359 \cdot 10^{216}\right):\\
\;\;\;\;\frac{\frac{x}{y - z}}{t - z}\\

\mathbf{else}:\\
\;\;\;\;\frac{x}{\left(t - z\right) \cdot \left(y - z\right)}\\

\end{array}
double f(double x, double y, double z, double t) {
        double r909838 = x;
        double r909839 = y;
        double r909840 = z;
        double r909841 = r909839 - r909840;
        double r909842 = t;
        double r909843 = r909842 - r909840;
        double r909844 = r909841 * r909843;
        double r909845 = r909838 / r909844;
        return r909845;
}
↓
double f(double x, double y, double z, double t) {
        double r909846 = t;
        double r909847 = z;
        double r909848 = r909846 - r909847;
        double r909849 = y;
        double r909850 = r909849 - r909847;
        double r909851 = r909848 * r909850;
        double r909852 = -3.4936891690847764e+288;
        bool r909853 = r909851 <= r909852;
        double r909854 = 8.429748856735242e+216;
        bool r909855 = r909851 <= r909854;
        double r909856 = !r909855;
        bool r909857 = r909853 || r909856;
        double r909858 = x;
        double r909859 = r909858 / r909850;
        double r909860 = r909859 / r909848;
        double r909861 = r909858 / r909851;
        double r909862 = r909857 ? r909860 : r909861;
        return r909862;
}

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

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

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))))