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

Average Error: 1.3 → 1.3

Time: 19.9s

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 r22500443 = x;
        double r22500444 = y;
        double r22500445 = z;
        double r22500446 = t;
        double r22500447 = r22500445 - r22500446;
        double r22500448 = a;
        double r22500449 = r22500445 - r22500448;
        double r22500450 = r22500447 / r22500449;
        double r22500451 = r22500444 * r22500450;
        double r22500452 = r22500443 + r22500451;
        return r22500452;
}

↓

double f(double x, double y, double z, double t, double a) {
        double r22500453 = x;
        double r22500454 = y;
        double r22500455 = z;
        double r22500456 = t;
        double r22500457 = r22500455 - r22500456;
        double r22500458 = a;
        double r22500459 = r22500455 - r22500458;
        double r22500460 = r22500457 / r22500459;
        double r22500461 = r22500454 * r22500460;
        double r22500462 = r22500453 + r22500461;
        return r22500462;
}

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 
(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)))))