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

Average Error: 1.3 → 1.3

Time: 19.2s

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 r41647661 = x;
        double r41647662 = y;
        double r41647663 = z;
        double r41647664 = t;
        double r41647665 = r41647663 - r41647664;
        double r41647666 = a;
        double r41647667 = r41647663 - r41647666;
        double r41647668 = r41647665 / r41647667;
        double r41647669 = r41647662 * r41647668;
        double r41647670 = r41647661 + r41647669;
        return r41647670;
}

↓

double f(double x, double y, double z, double t, double a) {
        double r41647671 = x;
        double r41647672 = y;
        double r41647673 = z;
        double r41647674 = t;
        double r41647675 = r41647673 - r41647674;
        double r41647676 = a;
        double r41647677 = r41647673 - r41647676;
        double r41647678 = r41647675 / r41647677;
        double r41647679 = r41647672 * r41647678;
        double r41647680 = r41647671 + r41647679;
        return r41647680;
}

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	1.2
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 2019174 
(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)))))