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

Average Error: 0.0 → 0.0

Time: 10.3s

Precision: 64

Math

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

↓

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

C

double f(double x, double y, double z, double t) {
        double r350780 = 1.0;
        double r350781 = 8.0;
        double r350782 = r350780 / r350781;
        double r350783 = x;
        double r350784 = r350782 * r350783;
        double r350785 = y;
        double r350786 = z;
        double r350787 = r350785 * r350786;
        double r350788 = 2.0;
        double r350789 = r350787 / r350788;
        double r350790 = r350784 - r350789;
        double r350791 = t;
        double r350792 = r350790 + r350791;
        return r350792;
}

↓

double f(double x, double y, double z, double t) {
        double r350793 = t;
        double r350794 = 1.0;
        double r350795 = 8.0;
        double r350796 = r350794 / r350795;
        double r350797 = x;
        double r350798 = r350796 * r350797;
        double r350799 = y;
        double r350800 = z;
        double r350801 = r350799 * r350800;
        double r350802 = 2.0;
        double r350803 = r350801 / r350802;
        double r350804 = r350798 - r350803;
        double r350805 = r350793 + r350804;
        return r350805;
}

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

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

Reproduce

herbie shell --seed 2019174 
(FPCore (x y z t)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, B"

  :herbie-target
  (- (+ (/ x 8.0) t) (* (/ z 2.0) y))

  (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t))