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

Average Error: 0.0 → 0.0

Time: 905.0ms

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 r730719 = 1.0;
        double r730720 = 8.0;
        double r730721 = r730719 / r730720;
        double r730722 = x;
        double r730723 = r730721 * r730722;
        double r730724 = y;
        double r730725 = z;
        double r730726 = r730724 * r730725;
        double r730727 = 2.0;
        double r730728 = r730726 / r730727;
        double r730729 = r730723 - r730728;
        double r730730 = t;
        double r730731 = r730729 + r730730;
        return r730731;
}

↓

double f(double x, double y, double z, double t) {
        double r730732 = 1.0;
        double r730733 = 8.0;
        double r730734 = r730732 / r730733;
        double r730735 = x;
        double r730736 = r730734 * r730735;
        double r730737 = y;
        double r730738 = z;
        double r730739 = r730737 * r730738;
        double r730740 = 2.0;
        double r730741 = r730739 / r730740;
        double r730742 = r730736 - r730741;
        double r730743 = t;
        double r730744 = r730742 + r730743;
        return r730744;
}

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 2019354 
(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))