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

Average Error: 1.3 → 1.3

Time: 19.4s

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 r30856049 = x;
        double r30856050 = y;
        double r30856051 = z;
        double r30856052 = t;
        double r30856053 = r30856051 - r30856052;
        double r30856054 = a;
        double r30856055 = r30856051 - r30856054;
        double r30856056 = r30856053 / r30856055;
        double r30856057 = r30856050 * r30856056;
        double r30856058 = r30856049 + r30856057;
        return r30856058;
}

↓

double f(double x, double y, double z, double t, double a) {
        double r30856059 = x;
        double r30856060 = y;
        double r30856061 = z;
        double r30856062 = t;
        double r30856063 = r30856061 - r30856062;
        double r30856064 = a;
        double r30856065 = r30856061 - r30856064;
        double r30856066 = r30856063 / r30856065;
        double r30856067 = r30856060 * r30856066;
        double r30856068 = r30856059 + r30856067;
        return r30856068;
}

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 2019179 
(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)))))