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

Average Error: 1.3 → 1.3

Time: 21.3s

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 r31600098 = x;
        double r31600099 = y;
        double r31600100 = z;
        double r31600101 = t;
        double r31600102 = r31600100 - r31600101;
        double r31600103 = a;
        double r31600104 = r31600100 - r31600103;
        double r31600105 = r31600102 / r31600104;
        double r31600106 = r31600099 * r31600105;
        double r31600107 = r31600098 + r31600106;
        return r31600107;
}

↓

double f(double x, double y, double z, double t, double a) {
        double r31600108 = x;
        double r31600109 = y;
        double r31600110 = z;
        double r31600111 = t;
        double r31600112 = r31600110 - r31600111;
        double r31600113 = a;
        double r31600114 = r31600110 - r31600113;
        double r31600115 = r31600112 / r31600114;
        double r31600116 = r31600109 * r31600115;
        double r31600117 = r31600108 + r31600116;
        return r31600117;
}

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	1.1
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 2019162 
(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)))))