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

Average Error: 1.2 → 1.2

Time: 17.3s

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 r27755397 = x;
        double r27755398 = y;
        double r27755399 = z;
        double r27755400 = t;
        double r27755401 = r27755399 - r27755400;
        double r27755402 = a;
        double r27755403 = r27755399 - r27755402;
        double r27755404 = r27755401 / r27755403;
        double r27755405 = r27755398 * r27755404;
        double r27755406 = r27755397 + r27755405;
        return r27755406;
}

↓

double f(double x, double y, double z, double t, double a) {
        double r27755407 = x;
        double r27755408 = y;
        double r27755409 = z;
        double r27755410 = t;
        double r27755411 = r27755409 - r27755410;
        double r27755412 = a;
        double r27755413 = r27755409 - r27755412;
        double r27755414 = r27755411 / r27755413;
        double r27755415 = r27755408 * r27755414;
        double r27755416 = r27755407 + r27755415;
        return r27755416;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Bits error versus a

Target

Original	1.2
Target	1.1
Herbie	1.2

\[x + \frac{y}{\frac{z - a}{z - t}}\]

Derivation

1. Initial program 1.2

   \[x + y \cdot \frac{z - t}{z - a}\]

2. Final simplification 1.2

   \[\leadsto x + y \cdot \frac{z - t}{z - a}\]

Reproduce

herbie shell --seed 2019158 
(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)))))