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

Average Error: 1.3 → 1.3

Time: 21.4s

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 r32241077 = x;
        double r32241078 = y;
        double r32241079 = z;
        double r32241080 = t;
        double r32241081 = r32241079 - r32241080;
        double r32241082 = a;
        double r32241083 = r32241079 - r32241082;
        double r32241084 = r32241081 / r32241083;
        double r32241085 = r32241078 * r32241084;
        double r32241086 = r32241077 + r32241085;
        return r32241086;
}

↓

double f(double x, double y, double z, double t, double a) {
        double r32241087 = x;
        double r32241088 = y;
        double r32241089 = z;
        double r32241090 = t;
        double r32241091 = r32241089 - r32241090;
        double r32241092 = a;
        double r32241093 = r32241089 - r32241092;
        double r32241094 = r32241091 / r32241093;
        double r32241095 = r32241088 * r32241094;
        double r32241096 = r32241087 + r32241095;
        return r32241096;
}

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)))))