Average Error: 1.2 → 1.2
Time: 19.1s
Precision: 64
\[x + y \cdot \frac{z - t}{z - a}\]
↓
\[x + \frac{y}{\left(z - a\right) \cdot \frac{1}{z - t}}\]
x + y \cdot \frac{z - t}{z - a}
↓
x + \frac{y}{\left(z - a\right) \cdot \frac{1}{z - t}}
double f(double x, double y, double z, double t, double a) {
        double r42926083 = x;
        double r42926084 = y;
        double r42926085 = z;
        double r42926086 = t;
        double r42926087 = r42926085 - r42926086;
        double r42926088 = a;
        double r42926089 = r42926085 - r42926088;
        double r42926090 = r42926087 / r42926089;
        double r42926091 = r42926084 * r42926090;
        double r42926092 = r42926083 + r42926091;
        return r42926092;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r42926093 = x;
        double r42926094 = y;
        double r42926095 = z;
        double r42926096 = a;
        double r42926097 = r42926095 - r42926096;
        double r42926098 = 1.0;
        double r42926099 = t;
        double r42926100 = r42926095 - r42926099;
        double r42926101 = r42926098 / r42926100;
        double r42926102 = r42926097 * r42926101;
        double r42926103 = r42926094 / r42926102;
        double r42926104 = r42926093 + r42926103;
        return r42926104;
}

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

Derivation

  1. Initial program 1.2

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

  3. Applied clear-num1.2

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

  4. Applied un-div-inv1.1

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

  6. Applied div-inv1.2

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

  7. Final simplification1.2

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

Reproduce

herbie shell --seed 2019158 
(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)))))