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

Average Error: 0.0 → 0.0

Time: 6.8s

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 r531606 = 1.0;
        double r531607 = 8.0;
        double r531608 = r531606 / r531607;
        double r531609 = x;
        double r531610 = r531608 * r531609;
        double r531611 = y;
        double r531612 = z;
        double r531613 = r531611 * r531612;
        double r531614 = 2.0;
        double r531615 = r531613 / r531614;
        double r531616 = r531610 - r531615;
        double r531617 = t;
        double r531618 = r531616 + r531617;
        return r531618;
}

↓

double f(double x, double y, double z, double t) {
        double r531619 = 1.0;
        double r531620 = 8.0;
        double r531621 = r531619 / r531620;
        double r531622 = x;
        double r531623 = r531621 * r531622;
        double r531624 = y;
        double r531625 = z;
        double r531626 = r531624 * r531625;
        double r531627 = 2.0;
        double r531628 = r531626 / r531627;
        double r531629 = r531623 - r531628;
        double r531630 = t;
        double r531631 = r531629 + r531630;
        return r531631;
}

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 2019209 
(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))