Average Error: 1.9 → 0.7
Time: 16.0s
Precision: 64
\[x + \left(y - x\right) \cdot \frac{z}{t}\]
↓
\[\begin{array}{l} \mathbf{if}\;\frac{z}{t} \le -9.751289687433676250581456072609145368556 \cdot 10^{284}:\\ \;\;\;\;x + \frac{\left(y - x\right) \cdot z}{t}\\ \mathbf{elif}\;\frac{z}{t} \le 7.022184320531330190117920916895505481512 \cdot 10^{268}:\\ \;\;\;\;\left(y - x\right) \cdot \frac{z}{t} + x\\ \mathbf{else}:\\ \;\;\;\;x + \frac{\left(y - x\right) \cdot z}{t}\\ \end{array}\]
x + \left(y - x\right) \cdot \frac{z}{t}
↓
\begin{array}{l}
\mathbf{if}\;\frac{z}{t} \le -9.751289687433676250581456072609145368556 \cdot 10^{284}:\\
\;\;\;\;x + \frac{\left(y - x\right) \cdot z}{t}\\

\mathbf{elif}\;\frac{z}{t} \le 7.022184320531330190117920916895505481512 \cdot 10^{268}:\\
\;\;\;\;\left(y - x\right) \cdot \frac{z}{t} + x\\

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

\end{array}
double f(double x, double y, double z, double t) {
        double r25128670 = x;
        double r25128671 = y;
        double r25128672 = r25128671 - r25128670;
        double r25128673 = z;
        double r25128674 = t;
        double r25128675 = r25128673 / r25128674;
        double r25128676 = r25128672 * r25128675;
        double r25128677 = r25128670 + r25128676;
        return r25128677;
}
↓
double f(double x, double y, double z, double t) {
        double r25128678 = z;
        double r25128679 = t;
        double r25128680 = r25128678 / r25128679;
        double r25128681 = -9.751289687433676e+284;
        bool r25128682 = r25128680 <= r25128681;
        double r25128683 = x;
        double r25128684 = y;
        double r25128685 = r25128684 - r25128683;
        double r25128686 = r25128685 * r25128678;
        double r25128687 = r25128686 / r25128679;
        double r25128688 = r25128683 + r25128687;
        double r25128689 = 7.02218432053133e+268;
        bool r25128690 = r25128680 <= r25128689;
        double r25128691 = r25128685 * r25128680;
        double r25128692 = r25128691 + r25128683;
        double r25128693 = r25128690 ? r25128692 : r25128688;
        double r25128694 = r25128682 ? r25128688 : r25128693;
        return r25128694;
}

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

Original1.9
Target2.1
Herbie0.7
\[\begin{array}{l} \mathbf{if}\;\left(y - x\right) \cdot \frac{z}{t} \lt -1013646692435.88671875:\\ \;\;\;\;x + \frac{y - x}{\frac{t}{z}}\\ \mathbf{elif}\;\left(y - x\right) \cdot \frac{z}{t} \lt -0.0:\\ \;\;\;\;x + \frac{\left(y - x\right) \cdot z}{t}\\ \mathbf{else}:\\ \;\;\;\;x + \frac{y - x}{\frac{t}{z}}\\ \end{array}\]

Derivation

  1. Split input into 2 regimes

  2. if (/ z t) < -9.751289687433676e+284 or 7.02218432053133e+268 < (/ z t)

    1. Initial program 40.0

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

    3. Applied associate-*r/0.3

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

    if -9.751289687433676e+284 < (/ z t) < 7.02218432053133e+268

    1. Initial program 0.7

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

  4. Final simplification0.7

    \[\leadsto \begin{array}{l} \mathbf{if}\;\frac{z}{t} \le -9.751289687433676250581456072609145368556 \cdot 10^{284}:\\ \;\;\;\;x + \frac{\left(y - x\right) \cdot z}{t}\\ \mathbf{elif}\;\frac{z}{t} \le 7.022184320531330190117920916895505481512 \cdot 10^{268}:\\ \;\;\;\;\left(y - x\right) \cdot \frac{z}{t} + x\\ \mathbf{else}:\\ \;\;\;\;x + \frac{\left(y - x\right) \cdot z}{t}\\ \end{array}\]

Reproduce

herbie shell --seed 2019192 
(FPCore (x y z t)
  :name "Graphics.Rendering.Plot.Render.Plot.Axis:tickPosition from plot-0.2.3.4"

  :herbie-target
  (if (< (* (- y x) (/ z t)) -1013646692435.8867) (+ x (/ (- y x) (/ t z))) (if (< (* (- y x) (/ z t)) -0.0) (+ x (/ (* (- y x) z) t)) (+ x (/ (- y x) (/ t z)))))

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