Average Error: 2.0 → 2.0
Time: 18.3s
Precision: 64
\[x + \left(y - x\right) \cdot \frac{z}{t}\]
↓
\[x + \left(y - x\right) \cdot \frac{z}{t}\]
x + \left(y - x\right) \cdot \frac{z}{t}
↓
x + \left(y - x\right) \cdot \frac{z}{t}
double f(double x, double y, double z, double t) {
        double r29921762 = x;
        double r29921763 = y;
        double r29921764 = r29921763 - r29921762;
        double r29921765 = z;
        double r29921766 = t;
        double r29921767 = r29921765 / r29921766;
        double r29921768 = r29921764 * r29921767;
        double r29921769 = r29921762 + r29921768;
        return r29921769;
}
↓
double f(double x, double y, double z, double t) {
        double r29921770 = x;
        double r29921771 = y;
        double r29921772 = r29921771 - r29921770;
        double r29921773 = z;
        double r29921774 = t;
        double r29921775 = r29921773 / r29921774;
        double r29921776 = r29921772 * r29921775;
        double r29921777 = r29921770 + r29921776;
        return r29921777;
}

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

Original2.0
Target2.2
Herbie2.0
\[\begin{array}{l} \mathbf{if}\;\left(y - x\right) \cdot \frac{z}{t} \lt -1013646692435.88671875:\\ \;\;\;\;x + \frac{y - x}{\frac{t}{z}}\\ \mathbf{elif}\;\left(y - x\right) \cdot \frac{z}{t} \lt -0.0:\\ \;\;\;\;x + \frac{\left(y - x\right) \cdot z}{t}\\ \mathbf{else}:\\ \;\;\;\;x + \frac{y - x}{\frac{t}{z}}\\ \end{array}\]

Derivation

  1. Initial program 2.0

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

  2. Final simplification2.0

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

Reproduce

herbie shell --seed 2019179 
(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))))