Average Error: 7.1 → 1.7
Time: 2.9s
Precision: 64
\[\frac{x}{\left(y - z\right) \cdot \left(t - z\right)}\]
↓
\[\begin{array}{l} \mathbf{if}\;\frac{x}{\left(y - z\right) \cdot \left(t - z\right)} \le 1.58070051066463748 \cdot 10^{-270}:\\ \;\;\;\;\frac{\frac{x}{t - z}}{y - z}\\ \mathbf{elif}\;\frac{x}{\left(y - z\right) \cdot \left(t - z\right)} \le 9.2330245088185853 \cdot 10^{-124}:\\ \;\;\;\;\frac{x}{\left(y - z\right) \cdot \left(t - z\right)}\\ \mathbf{else}:\\ \;\;\;\;\frac{\frac{x}{y - z}}{t - z}\\ \end{array}\]
\frac{x}{\left(y - z\right) \cdot \left(t - z\right)}
↓
\begin{array}{l}
\mathbf{if}\;\frac{x}{\left(y - z\right) \cdot \left(t - z\right)} \le 1.58070051066463748 \cdot 10^{-270}:\\
\;\;\;\;\frac{\frac{x}{t - z}}{y - z}\\

\mathbf{elif}\;\frac{x}{\left(y - z\right) \cdot \left(t - z\right)} \le 9.2330245088185853 \cdot 10^{-124}:\\
\;\;\;\;\frac{x}{\left(y - z\right) \cdot \left(t - z\right)}\\

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

\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 ((((double) (x / ((double) (((double) (y - z)) * ((double) (t - z)))))) <= 1.5807005106646375e-270)) {
		VAR = ((double) (((double) (x / ((double) (t - z)))) / ((double) (y - z))));
	} else {
		double VAR_1;
		if ((((double) (x / ((double) (((double) (y - z)) * ((double) (t - z)))))) <= 9.233024508818585e-124)) {
			VAR_1 = ((double) (x / ((double) (((double) (y - z)) * ((double) (t - z))))));
		} else {
			VAR_1 = ((double) (((double) (x / ((double) (y - z)))) / ((double) (t - z))));
		}
		VAR = VAR_1;
	}
	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

Original7.1
Target7.8
Herbie1.7
\[\begin{array}{l} \mathbf{if}\;\frac{x}{\left(y - z\right) \cdot \left(t - z\right)} \lt 0.0:\\ \;\;\;\;\frac{\frac{x}{y - z}}{t - z}\\ \mathbf{else}:\\ \;\;\;\;x \cdot \frac{1}{\left(y - z\right) \cdot \left(t - z\right)}\\ \end{array}\]

Derivation

  1. Split input into 3 regimes

  2. if (/ x (* (- y z) (- t z))) < 1.5807005106646375e-270

    1. Initial program 8.8

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

    3. Applied associate-/r*1.6

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

    5. Applied div-inv1.6

      \[\leadsto \color{blue}{\frac{x}{y - z} \cdot \frac{1}{t - z}}\]
    6. Using strategy rm

    7. Applied associate-*l/1.4

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

    8. Simplified1.4

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

    if 1.5807005106646375e-270 < (/ x (* (- y z) (- t z))) < 9.233024508818585e-124

    1. Initial program 0.3

      \[\frac{x}{\left(y - z\right) \cdot \left(t - z\right)}\]

    if 9.233024508818585e-124 < (/ x (* (- y z) (- t z)))

    1. Initial program 1.6

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

    3. Applied associate-/r*3.5

      \[\leadsto \color{blue}{\frac{\frac{x}{y - z}}{t - z}}\]
  3. Recombined 3 regimes into one program.

  4. Final simplification1.7

    \[\leadsto \begin{array}{l} \mathbf{if}\;\frac{x}{\left(y - z\right) \cdot \left(t - z\right)} \le 1.58070051066463748 \cdot 10^{-270}:\\ \;\;\;\;\frac{\frac{x}{t - z}}{y - z}\\ \mathbf{elif}\;\frac{x}{\left(y - z\right) \cdot \left(t - z\right)} \le 9.2330245088185853 \cdot 10^{-124}:\\ \;\;\;\;\frac{x}{\left(y - z\right) \cdot \left(t - z\right)}\\ \mathbf{else}:\\ \;\;\;\;\frac{\frac{x}{y - z}}{t - z}\\ \end{array}\]

Reproduce

herbie shell --seed 2020128 
(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))))