Average Error: 7.7 → 2.5
Time: 3.2s
Precision: binary64
\[\frac{x}{\left(y - z\right) \cdot \left(t - z\right)}\]
↓
\[\begin{array}{l} \mathbf{if}\;y \le -2.348356340171026 \cdot 10^{-179} \lor \neg \left(y \le 3.32990979763597977 \cdot 10^{240}\right):\\ \;\;\;\;\frac{\frac{x}{y - z}}{t - z}\\ \mathbf{else}:\\ \;\;\;\;\frac{1}{\left(y - z\right) \cdot \frac{t - z}{x}}\\ \end{array}\]
\frac{x}{\left(y - z\right) \cdot \left(t - z\right)}
↓
\begin{array}{l}
\mathbf{if}\;y \le -2.348356340171026 \cdot 10^{-179} \lor \neg \left(y \le 3.32990979763597977 \cdot 10^{240}\right):\\
\;\;\;\;\frac{\frac{x}{y - z}}{t - z}\\

\mathbf{else}:\\
\;\;\;\;\frac{1}{\left(y - z\right) \cdot \frac{t - z}{x}}\\

\end{array}
double code(double x, double y, double z, double t) {
	return ((double) (x / ((double) (((double) (y - z)) * ((double) (t - z))))));
}
↓
double code(double x, double y, double z, double t) {
	double VAR;
	if (((y <= -2.348356340171026e-179) || !(y <= 3.3299097976359798e+240))) {
		VAR = ((double) (((double) (x / ((double) (y - z)))) / ((double) (t - z))));
	} else {
		VAR = ((double) (1.0 / ((double) (((double) (y - z)) * ((double) (((double) (t - z)) / x))))));
	}
	return VAR;
}

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

Original7.7
Target8.3
Herbie2.5
\[\begin{array}{l} \mathbf{if}\;\frac{x}{\left(y - z\right) \cdot \left(t - z\right)} \lt 0.0:\\ \;\;\;\;\frac{\frac{x}{y - z}}{t - z}\\ \mathbf{else}:\\ \;\;\;\;x \cdot \frac{1}{\left(y - z\right) \cdot \left(t - z\right)}\\ \end{array}\]

Derivation

  1. Split input into 2 regimes

  2. if y < -2.348356340171026e-179 or 3.32990979763597977e240 < y

    1. Initial program 8.2

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

    3. Applied associate-/r*2.0

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

    if -2.348356340171026e-179 < y < 3.32990979763597977e240

    1. Initial program 7.3

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

    3. Applied associate-/r*2.3

      \[\leadsto \color{blue}{\frac{\frac{x}{y - z}}{t - z}}\]
    4. Using strategy rm

    5. Applied clear-num2.7

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

    6. Simplified2.8

      \[\leadsto \frac{1}{\color{blue}{\left(y - z\right) \cdot \frac{t - z}{x}}}\]
  3. Recombined 2 regimes into one program.

  4. Final simplification2.5

    \[\leadsto \begin{array}{l} \mathbf{if}\;y \le -2.348356340171026 \cdot 10^{-179} \lor \neg \left(y \le 3.32990979763597977 \cdot 10^{240}\right):\\ \;\;\;\;\frac{\frac{x}{y - z}}{t - z}\\ \mathbf{else}:\\ \;\;\;\;\frac{1}{\left(y - z\right) \cdot \frac{t - z}{x}}\\ \end{array}\]

Reproduce

herbie shell --seed 2020185 
(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 (/ 1.0 (* (- y z) (- t z)))))

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