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

Average Error: 0.0 → 0.0

Time: 8.3s

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 r472603 = 1.0;
        double r472604 = 8.0;
        double r472605 = r472603 / r472604;
        double r472606 = x;
        double r472607 = r472605 * r472606;
        double r472608 = y;
        double r472609 = z;
        double r472610 = r472608 * r472609;
        double r472611 = 2.0;
        double r472612 = r472610 / r472611;
        double r472613 = r472607 - r472612;
        double r472614 = t;
        double r472615 = r472613 + r472614;
        return r472615;
}

↓

double f(double x, double y, double z, double t) {
        double r472616 = 1.0;
        double r472617 = 8.0;
        double r472618 = r472616 / r472617;
        double r472619 = x;
        double r472620 = r472618 * r472619;
        double r472621 = y;
        double r472622 = z;
        double r472623 = r472621 * r472622;
        double r472624 = 2.0;
        double r472625 = r472623 / r472624;
        double r472626 = r472620 - r472625;
        double r472627 = t;
        double r472628 = r472626 + r472627;
        return r472628;
}

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 2019304 
(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))