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

Average Error: 0.0 → 0.0

Time: 5.2s

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 r476773 = 1.0;
        double r476774 = 8.0;
        double r476775 = r476773 / r476774;
        double r476776 = x;
        double r476777 = r476775 * r476776;
        double r476778 = y;
        double r476779 = z;
        double r476780 = r476778 * r476779;
        double r476781 = 2.0;
        double r476782 = r476780 / r476781;
        double r476783 = r476777 - r476782;
        double r476784 = t;
        double r476785 = r476783 + r476784;
        return r476785;
}

↓

double f(double x, double y, double z, double t) {
        double r476786 = 1.0;
        double r476787 = 8.0;
        double r476788 = r476786 / r476787;
        double r476789 = x;
        double r476790 = r476788 * r476789;
        double r476791 = y;
        double r476792 = z;
        double r476793 = r476791 * r476792;
        double r476794 = 2.0;
        double r476795 = r476793 / r476794;
        double r476796 = r476790 - r476795;
        double r476797 = t;
        double r476798 = r476796 + r476797;
        return r476798;
}

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 2019235 
(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))