Average Error: 7.8 → 0.7
Time: 18.4s
Precision: 64
\[\frac{x}{\left(y - z\right) \cdot \left(t - z\right)}\]
↓
\[\begin{array}{l} \mathbf{if}\;\left(y - z\right) \cdot \left(t - z\right) \le -3.493689169084776416276579812094604550093 \cdot 10^{288}:\\ \;\;\;\;\frac{\frac{x}{y - z}}{t - z}\\ \mathbf{elif}\;\left(y - z\right) \cdot \left(t - z\right) \le 8.429748856735242084599883914763475834359 \cdot 10^{216}:\\ \;\;\;\;\frac{x}{\left(y - z\right) \cdot \left(t - z\right)}\\ \mathbf{else}:\\ \;\;\;\;\frac{\frac{x}{y - z}}{t - z}\\ \end{array}\]
\frac{x}{\left(y - z\right) \cdot \left(t - z\right)}
↓
\begin{array}{l}
\mathbf{if}\;\left(y - z\right) \cdot \left(t - z\right) \le -3.493689169084776416276579812094604550093 \cdot 10^{288}:\\
\;\;\;\;\frac{\frac{x}{y - z}}{t - z}\\

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

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

\end{array}
double f(double x, double y, double z, double t) {
        double r51228403 = x;
        double r51228404 = y;
        double r51228405 = z;
        double r51228406 = r51228404 - r51228405;
        double r51228407 = t;
        double r51228408 = r51228407 - r51228405;
        double r51228409 = r51228406 * r51228408;
        double r51228410 = r51228403 / r51228409;
        return r51228410;
}
↓
double f(double x, double y, double z, double t) {
        double r51228411 = y;
        double r51228412 = z;
        double r51228413 = r51228411 - r51228412;
        double r51228414 = t;
        double r51228415 = r51228414 - r51228412;
        double r51228416 = r51228413 * r51228415;
        double r51228417 = -3.4936891690847764e+288;
        bool r51228418 = r51228416 <= r51228417;
        double r51228419 = x;
        double r51228420 = r51228419 / r51228413;
        double r51228421 = r51228420 / r51228415;
        double r51228422 = 8.429748856735242e+216;
        bool r51228423 = r51228416 <= r51228422;
        double r51228424 = r51228419 / r51228416;
        double r51228425 = r51228423 ? r51228424 : r51228421;
        double r51228426 = r51228418 ? r51228421 : r51228425;
        return r51228426;
}

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

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

Reproduce

herbie shell --seed 2019174 +o rules:numerics
(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))))