Average Error: 12.1 → 1.7
Time: 3.7s
Precision: binary64
\[\frac{x \cdot \left(y - z\right)}{t - z}\]
↓
\[\begin{array}{l} \mathbf{if}\;\frac{x \cdot \left(y - z\right)}{t - z} \leq 6.321152404090463 \cdot 10^{-118} \lor \neg \left(\frac{x \cdot \left(y - z\right)}{t - z} \leq 1.3382242743790237 \cdot 10^{+306}\right):\\ \;\;\;\;x \cdot \frac{y - z}{t - z}\\ \mathbf{else}:\\ \;\;\;\;\frac{x \cdot \left(y - z\right)}{t - z}\\ \end{array}\]
\frac{x \cdot \left(y - z\right)}{t - z}
↓
\begin{array}{l}
\mathbf{if}\;\frac{x \cdot \left(y - z\right)}{t - z} \leq 6.321152404090463 \cdot 10^{-118} \lor \neg \left(\frac{x \cdot \left(y - z\right)}{t - z} \leq 1.3382242743790237 \cdot 10^{+306}\right):\\
\;\;\;\;x \cdot \frac{y - z}{t - z}\\

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

\end{array}
double code(double x, double y, double z, double t) {
	return (((double) (x * ((double) (y - z)))) / ((double) (t - z)));
}
↓
double code(double x, double y, double z, double t) {
	double VAR;
	if ((((((double) (x * ((double) (y - z)))) / ((double) (t - z))) <= 6.321152404090463e-118) || !((((double) (x * ((double) (y - z)))) / ((double) (t - z))) <= 1.3382242743790237e+306))) {
		VAR = ((double) (x * (((double) (y - z)) / ((double) (t - z)))));
	} else {
		VAR = (((double) (x * ((double) (y - z)))) / ((double) (t - z)));
	}
	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

Original12.1
Target2.3
Herbie1.7
\[\frac{x}{\frac{t - z}{y - z}}\]

Derivation

  1. Split input into 2 regimes

  2. if (/ (* x (- y z)) (- t z)) < 6.3211524040904627e-118 or 1.3382242743790237e306 < (/ (* x (- y z)) (- t z))

    1. Initial program Error: 15.9 bits

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

    2. SimplifiedError: 2.1 bits

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

    if 6.3211524040904627e-118 < (/ (* x (- y z)) (- t z)) < 1.3382242743790237e306

    1. Initial program Error: 0.2 bits

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

  4. Final simplificationError: 1.7 bits

    \[\leadsto \begin{array}{l} \mathbf{if}\;\frac{x \cdot \left(y - z\right)}{t - z} \leq 6.321152404090463 \cdot 10^{-118} \lor \neg \left(\frac{x \cdot \left(y - z\right)}{t - z} \leq 1.3382242743790237 \cdot 10^{+306}\right):\\ \;\;\;\;x \cdot \frac{y - z}{t - z}\\ \mathbf{else}:\\ \;\;\;\;\frac{x \cdot \left(y - z\right)}{t - z}\\ \end{array}\]

Reproduce

herbie shell --seed 2020200 
(FPCore (x y z t)
  :name "Graphics.Rendering.Chart.Plot.AreaSpots:renderAreaSpots4D from Chart-1.5.3"
  :precision binary64

  :herbie-target
  (/ x (/ (- t z) (- y z)))

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