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

Average Error: 0.0 → 0.0

Time: 2.0s

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 r743603 = 1.0;
        double r743604 = 8.0;
        double r743605 = r743603 / r743604;
        double r743606 = x;
        double r743607 = r743605 * r743606;
        double r743608 = y;
        double r743609 = z;
        double r743610 = r743608 * r743609;
        double r743611 = 2.0;
        double r743612 = r743610 / r743611;
        double r743613 = r743607 - r743612;
        double r743614 = t;
        double r743615 = r743613 + r743614;
        return r743615;
}

↓

double f(double x, double y, double z, double t) {
        double r743616 = 1.0;
        double r743617 = 8.0;
        double r743618 = r743616 / r743617;
        double r743619 = x;
        double r743620 = r743618 * r743619;
        double r743621 = y;
        double r743622 = z;
        double r743623 = r743621 * r743622;
        double r743624 = 2.0;
        double r743625 = r743623 / r743624;
        double r743626 = r743620 - r743625;
        double r743627 = t;
        double r743628 = r743626 + r743627;
        return r743628;
}

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 2020036 
(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))