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

Average Error: 1.3 → 1.3

Time: 19.3s

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 r24771277 = x;
        double r24771278 = y;
        double r24771279 = z;
        double r24771280 = t;
        double r24771281 = r24771279 - r24771280;
        double r24771282 = a;
        double r24771283 = r24771279 - r24771282;
        double r24771284 = r24771281 / r24771283;
        double r24771285 = r24771278 * r24771284;
        double r24771286 = r24771277 + r24771285;
        return r24771286;
}

↓

double f(double x, double y, double z, double t, double a) {
        double r24771287 = x;
        double r24771288 = y;
        double r24771289 = z;
        double r24771290 = t;
        double r24771291 = r24771289 - r24771290;
        double r24771292 = a;
        double r24771293 = r24771289 - r24771292;
        double r24771294 = r24771291 / r24771293;
        double r24771295 = r24771288 * r24771294;
        double r24771296 = r24771287 + r24771295;
        return r24771296;
}

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	1.3
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 2019172 +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)))))