Average Error: 1.2 → 1.1
Time: 13.1s
Precision: 64
\[x + y \cdot \frac{z - t}{z - a}\]
↓
\[x + \frac{y}{\frac{z - a}{z - t}}\]
x + y \cdot \frac{z - t}{z - a}
↓
x + \frac{y}{\frac{z - a}{z - t}}
double f(double x, double y, double z, double t, double a) {
        double r30840744 = x;
        double r30840745 = y;
        double r30840746 = z;
        double r30840747 = t;
        double r30840748 = r30840746 - r30840747;
        double r30840749 = a;
        double r30840750 = r30840746 - r30840749;
        double r30840751 = r30840748 / r30840750;
        double r30840752 = r30840745 * r30840751;
        double r30840753 = r30840744 + r30840752;
        return r30840753;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r30840754 = x;
        double r30840755 = y;
        double r30840756 = z;
        double r30840757 = a;
        double r30840758 = r30840756 - r30840757;
        double r30840759 = t;
        double r30840760 = r30840756 - r30840759;
        double r30840761 = r30840758 / r30840760;
        double r30840762 = r30840755 / r30840761;
        double r30840763 = r30840754 + r30840762;
        return r30840763;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Bits error versus a

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original1.2
Target1.1
Herbie1.1
\[x + \frac{y}{\frac{z - a}{z - t}}\]

Derivation

  1. Initial program 1.2

    \[x + y \cdot \frac{z - t}{z - a}\]
  2. Using strategy rm

  3. Applied clear-num1.3

    \[\leadsto x + y \cdot \color{blue}{\frac{1}{\frac{z - a}{z - t}}}\]
  4. Using strategy rm

  5. Applied un-div-inv1.1

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

  6. Final simplification1.1

    \[\leadsto x + \frac{y}{\frac{z - a}{z - t}}\]

Reproduce

herbie shell --seed 2019165 
(FPCore (x y z t a)
  :name "Graphics.Rendering.Plot.Render.Plot.Axis:renderAxisLine from plot-0.2.3.4, A"

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

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