Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, B

Average Error: 0.0 → 0.0

Time: 3.3s

Precision: 64

Math

\[\left(\frac{1}{8} \cdot x - \frac{y \cdot z}{2}\right) + t\]

↓

\[\left(\frac{1}{8} \cdot x - \frac{y \cdot z}{2}\right) + t\]

C

double f(double x, double y, double z, double t) {
        double r633717 = 1.0;
        double r633718 = 8.0;
        double r633719 = r633717 / r633718;
        double r633720 = x;
        double r633721 = r633719 * r633720;
        double r633722 = y;
        double r633723 = z;
        double r633724 = r633722 * r633723;
        double r633725 = 2.0;
        double r633726 = r633724 / r633725;
        double r633727 = r633721 - r633726;
        double r633728 = t;
        double r633729 = r633727 + r633728;
        return r633729;
}

↓

double f(double x, double y, double z, double t) {
        double r633730 = 1.0;
        double r633731 = 8.0;
        double r633732 = r633730 / r633731;
        double r633733 = x;
        double r633734 = r633732 * r633733;
        double r633735 = y;
        double r633736 = z;
        double r633737 = r633735 * r633736;
        double r633738 = 2.0;
        double r633739 = r633737 / r633738;
        double r633740 = r633734 - r633739;
        double r633741 = t;
        double r633742 = r633740 + r633741;
        return r633742;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Target

Original	0.0
Target	0.0
Herbie	0.0

\[\left(\frac{x}{8} + t\right) - \frac{z}{2} \cdot y\]

Derivation

1. Initial program 0.0

   \[\left(\frac{1}{8} \cdot x - \frac{y \cdot z}{2}\right) + t\]

2. Final simplification 0.0

   \[\leadsto \left(\frac{1}{8} \cdot x - \frac{y \cdot z}{2}\right) + t\]

Reproduce

herbie shell --seed 2020100 
(FPCore (x y z t)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, B"
  :precision binary64

  :herbie-target
  (- (+ (/ x 8) t) (* (/ z 2) y))

  (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t))