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

Average Error: 0.0 → 0.0

Time: 14.5s

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 r466510 = 1.0;
        double r466511 = 8.0;
        double r466512 = r466510 / r466511;
        double r466513 = x;
        double r466514 = r466512 * r466513;
        double r466515 = y;
        double r466516 = z;
        double r466517 = r466515 * r466516;
        double r466518 = 2.0;
        double r466519 = r466517 / r466518;
        double r466520 = r466514 - r466519;
        double r466521 = t;
        double r466522 = r466520 + r466521;
        return r466522;
}

↓

double f(double x, double y, double z, double t) {
        double r466523 = 1.0;
        double r466524 = 8.0;
        double r466525 = r466523 / r466524;
        double r466526 = x;
        double r466527 = r466525 * r466526;
        double r466528 = y;
        double r466529 = z;
        double r466530 = r466528 * r466529;
        double r466531 = 2.0;
        double r466532 = r466530 / r466531;
        double r466533 = r466527 - r466532;
        double r466534 = t;
        double r466535 = r466533 + r466534;
        return r466535;
}

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 2019303 
(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))