Average Error: 11.4 → 1.3
Time: 11.9s
Precision: 64
\[\frac{x \cdot \left(y - z\right)}{t - z}\]
↓
\[\begin{array}{l} \mathbf{if}\;\frac{\left(y - z\right) \cdot x}{t - z} \le -0.0:\\ \;\;\;\;x \cdot \frac{y - z}{t - z}\\ \mathbf{elif}\;\frac{\left(y - z\right) \cdot x}{t - z} \le 4.421158688198110357467490714146095752662 \cdot 10^{222}:\\ \;\;\;\;\frac{\left(y - z\right) \cdot x}{t - z}\\ \mathbf{else}:\\ \;\;\;\;x \cdot \frac{y - z}{t - z}\\ \end{array}\]
\frac{x \cdot \left(y - z\right)}{t - z}
↓
\begin{array}{l}
\mathbf{if}\;\frac{\left(y - z\right) \cdot x}{t - z} \le -0.0:\\
\;\;\;\;x \cdot \frac{y - z}{t - z}\\

\mathbf{elif}\;\frac{\left(y - z\right) \cdot x}{t - z} \le 4.421158688198110357467490714146095752662 \cdot 10^{222}:\\
\;\;\;\;\frac{\left(y - z\right) \cdot x}{t - z}\\

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

\end{array}
double f(double x, double y, double z, double t) {
        double r32266695 = x;
        double r32266696 = y;
        double r32266697 = z;
        double r32266698 = r32266696 - r32266697;
        double r32266699 = r32266695 * r32266698;
        double r32266700 = t;
        double r32266701 = r32266700 - r32266697;
        double r32266702 = r32266699 / r32266701;
        return r32266702;
}
↓
double f(double x, double y, double z, double t) {
        double r32266703 = y;
        double r32266704 = z;
        double r32266705 = r32266703 - r32266704;
        double r32266706 = x;
        double r32266707 = r32266705 * r32266706;
        double r32266708 = t;
        double r32266709 = r32266708 - r32266704;
        double r32266710 = r32266707 / r32266709;
        double r32266711 = -0.0;
        bool r32266712 = r32266710 <= r32266711;
        double r32266713 = r32266705 / r32266709;
        double r32266714 = r32266706 * r32266713;
        double r32266715 = 4.4211586881981104e+222;
        bool r32266716 = r32266710 <= r32266715;
        double r32266717 = r32266716 ? r32266710 : r32266714;
        double r32266718 = r32266712 ? r32266714 : r32266717;
        return r32266718;
}

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

Original11.4
Target2.1
Herbie1.3
\[\frac{x}{\frac{t - z}{y - z}}\]

Derivation

  1. Split input into 2 regimes

  2. if (/ (* x (- y z)) (- t z)) < -0.0 or 4.4211586881981104e+222 < (/ (* x (- y z)) (- t z))

    1. Initial program 17.4

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

    3. Applied *-un-lft-identity17.4

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

    4. Applied times-frac1.8

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

    5. Simplified1.8

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

    if -0.0 < (/ (* x (- y z)) (- t z)) < 4.4211586881981104e+222

    1. Initial program 0.3

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

  4. Final simplification1.3

    \[\leadsto \begin{array}{l} \mathbf{if}\;\frac{\left(y - z\right) \cdot x}{t - z} \le -0.0:\\ \;\;\;\;x \cdot \frac{y - z}{t - z}\\ \mathbf{elif}\;\frac{\left(y - z\right) \cdot x}{t - z} \le 4.421158688198110357467490714146095752662 \cdot 10^{222}:\\ \;\;\;\;\frac{\left(y - z\right) \cdot x}{t - z}\\ \mathbf{else}:\\ \;\;\;\;x \cdot \frac{y - z}{t - z}\\ \end{array}\]

Reproduce

herbie shell --seed 2019179 
(FPCore (x y z t)
  :name "Graphics.Rendering.Chart.Plot.AreaSpots:renderAreaSpots4D from Chart-1.5.3"

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

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