Average Error: 7.4 → 0.8
Time: 20.0s
Precision: 64
\[\frac{x}{\left(y - z\right) \cdot \left(t - z\right)}\]
↓
\[\begin{array}{l} \mathbf{if}\;\left(y - z\right) \cdot \left(t - z\right) \le -6.059807205138159821074577788383065783998 \cdot 10^{153} \lor \neg \left(\left(y - z\right) \cdot \left(t - z\right) \le 2.837428587682230126049873099227392657567 \cdot 10^{298}\right):\\ \;\;\;\;\frac{\frac{x}{y - z}}{t - z}\\ \mathbf{else}:\\ \;\;\;\;\frac{x}{\left(y - z\right) \cdot \left(t - z\right)}\\ \end{array}\]
\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 -6.059807205138159821074577788383065783998 \cdot 10^{153} \lor \neg \left(\left(y - z\right) \cdot \left(t - z\right) \le 2.837428587682230126049873099227392657567 \cdot 10^{298}\right):\\
\;\;\;\;\frac{\frac{x}{y - z}}{t - z}\\

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

\end{array}
double f(double x, double y, double z, double t) {
        double r584345 = x;
        double r584346 = y;
        double r584347 = z;
        double r584348 = r584346 - r584347;
        double r584349 = t;
        double r584350 = r584349 - r584347;
        double r584351 = r584348 * r584350;
        double r584352 = r584345 / r584351;
        return r584352;
}
↓
double f(double x, double y, double z, double t) {
        double r584353 = y;
        double r584354 = z;
        double r584355 = r584353 - r584354;
        double r584356 = t;
        double r584357 = r584356 - r584354;
        double r584358 = r584355 * r584357;
        double r584359 = -6.05980720513816e+153;
        bool r584360 = r584358 <= r584359;
        double r584361 = 2.83742858768223e+298;
        bool r584362 = r584358 <= r584361;
        double r584363 = !r584362;
        bool r584364 = r584360 || r584363;
        double r584365 = x;
        double r584366 = r584365 / r584355;
        double r584367 = r584366 / r584357;
        double r584368 = r584365 / r584358;
        double r584369 = r584364 ? r584367 : r584368;
        return r584369;
}

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

Original7.4
Target8.3
Herbie0.8
\[\begin{array}{l} \mathbf{if}\;\frac{x}{\left(y - z\right) \cdot \left(t - z\right)} \lt 0.0:\\ \;\;\;\;\frac{\frac{x}{y - z}}{t - z}\\ \mathbf{else}:\\ \;\;\;\;x \cdot \frac{1}{\left(y - z\right) \cdot \left(t - z\right)}\\ \end{array}\]

Derivation

  1. Split input into 2 regimes

  2. if (* (- y z) (- t z)) < -6.05980720513816e+153 or 2.83742858768223e+298 < (* (- y z) (- t z))

    1. Initial program 13.8

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

    3. Applied associate-/r*0.3

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

    if -6.05980720513816e+153 < (* (- y z) (- t z)) < 2.83742858768223e+298

    1. Initial program 1.2

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

  4. Final simplification0.8

    \[\leadsto \begin{array}{l} \mathbf{if}\;\left(y - z\right) \cdot \left(t - z\right) \le -6.059807205138159821074577788383065783998 \cdot 10^{153} \lor \neg \left(\left(y - z\right) \cdot \left(t - z\right) \le 2.837428587682230126049873099227392657567 \cdot 10^{298}\right):\\ \;\;\;\;\frac{\frac{x}{y - z}}{t - z}\\ \mathbf{else}:\\ \;\;\;\;\frac{x}{\left(y - z\right) \cdot \left(t - z\right)}\\ \end{array}\]

Reproduce

herbie shell --seed 2019303 +o rules:numerics
(FPCore (x y z t)
  :name "Data.Random.Distribution.Triangular:triangularCDF from random-fu-0.2.6.2, B"
  :precision binary64

  :herbie-target
  (if (< (/ x (* (- y z) (- t z))) 0.0) (/ (/ x (- y z)) (- t z)) (* x (/ 1 (* (- y z) (- t z)))))

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