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

Average Error: 1.3 → 1.3

Time: 24.9s

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 r35771759 = x;
        double r35771760 = y;
        double r35771761 = z;
        double r35771762 = t;
        double r35771763 = r35771761 - r35771762;
        double r35771764 = a;
        double r35771765 = r35771761 - r35771764;
        double r35771766 = r35771763 / r35771765;
        double r35771767 = r35771760 * r35771766;
        double r35771768 = r35771759 + r35771767;
        return r35771768;
}

↓

double f(double x, double y, double z, double t, double a) {
        double r35771769 = x;
        double r35771770 = y;
        double r35771771 = z;
        double r35771772 = t;
        double r35771773 = r35771771 - r35771772;
        double r35771774 = a;
        double r35771775 = r35771771 - r35771774;
        double r35771776 = r35771773 / r35771775;
        double r35771777 = r35771770 * r35771776;
        double r35771778 = r35771769 + r35771777;
        return r35771778;
}

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 2019174 +o rules:numerics
(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)))))