Average Error: 2.0 → 2.0
Time: 22.6s
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 r449676 = x;
        double r449677 = y;
        double r449678 = r449677 - r449676;
        double r449679 = z;
        double r449680 = t;
        double r449681 = r449679 / r449680;
        double r449682 = r449678 * r449681;
        double r449683 = r449676 + r449682;
        return r449683;
}
↓
double f(double x, double y, double z, double t) {
        double r449684 = x;
        double r449685 = y;
        double r449686 = r449685 - r449684;
        double r449687 = z;
        double r449688 = t;
        double r449689 = r449687 / r449688;
        double r449690 = r449686 * r449689;
        double r449691 = r449684 + r449690;
        return r449691;
}

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
Target2.3
Herbie2.0
\[\begin{array}{l} \mathbf{if}\;\left(y - x\right) \cdot \frac{z}{t} \lt -1013646692435.887:\\ \;\;\;\;x + \frac{y - x}{\frac{t}{z}}\\ \mathbf{elif}\;\left(y - x\right) \cdot \frac{z}{t} \lt -0.0:\\ \;\;\;\;x + \frac{\left(y - x\right) \cdot z}{t}\\ \mathbf{else}:\\ \;\;\;\;x + \frac{y - x}{\frac{t}{z}}\\ \end{array}\]

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 2019199 
(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))))