Graphics.Rendering.Plot.Render.Plot.Axis:renderAxisLine from plot-0.2.3.4, A

Average Error: 1.3 → 1.3

Time: 24.2s

Precision: 64

Math

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

↓

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

C

double f(double x, double y, double z, double t, double a) {
        double r25994920 = x;
        double r25994921 = y;
        double r25994922 = z;
        double r25994923 = t;
        double r25994924 = r25994922 - r25994923;
        double r25994925 = a;
        double r25994926 = r25994922 - r25994925;
        double r25994927 = r25994924 / r25994926;
        double r25994928 = r25994921 * r25994927;
        double r25994929 = r25994920 + r25994928;
        return r25994929;
}

↓

double f(double x, double y, double z, double t, double a) {
        double r25994930 = x;
        double r25994931 = y;
        double r25994932 = z;
        double r25994933 = t;
        double r25994934 = r25994932 - r25994933;
        double r25994935 = a;
        double r25994936 = r25994932 - r25994935;
        double r25994937 = r25994934 / r25994936;
        double r25994938 = r25994931 * r25994937;
        double r25994939 = r25994930 + r25994938;
        return r25994939;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Bits error versus a

Target

Original	1.3
Target	1.2
Herbie	1.3

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

Derivation

1. Initial program 1.3

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

2. Final simplification 1.3

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

Reproduce

herbie shell --seed 2019163 
(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)))))