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

Average Error: 0.0 → 0.0

Time: 16.5s

Precision: 64

Math

\[\left(\frac{1}{8} \cdot x - \frac{y \cdot z}{2}\right) + t\]

↓

\[t + \left(\frac{1}{8} \cdot x - \frac{y \cdot z}{2}\right)\]

C

double f(double x, double y, double z, double t) {
        double r605413 = 1.0;
        double r605414 = 8.0;
        double r605415 = r605413 / r605414;
        double r605416 = x;
        double r605417 = r605415 * r605416;
        double r605418 = y;
        double r605419 = z;
        double r605420 = r605418 * r605419;
        double r605421 = 2.0;
        double r605422 = r605420 / r605421;
        double r605423 = r605417 - r605422;
        double r605424 = t;
        double r605425 = r605423 + r605424;
        return r605425;
}

↓

double f(double x, double y, double z, double t) {
        double r605426 = t;
        double r605427 = 1.0;
        double r605428 = 8.0;
        double r605429 = r605427 / r605428;
        double r605430 = x;
        double r605431 = r605429 * r605430;
        double r605432 = y;
        double r605433 = z;
        double r605434 = r605432 * r605433;
        double r605435 = 2.0;
        double r605436 = r605434 / r605435;
        double r605437 = r605431 - r605436;
        double r605438 = r605426 + r605437;
        return r605438;
}

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

   \[\leadsto t + \left(\frac{1}{8} \cdot x - \frac{y \cdot z}{2}\right)\]

Reproduce

herbie shell --seed 2019196 
(FPCore (x y z t)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, B"

  :herbie-target
  (- (+ (/ x 8.0) t) (* (/ z 2.0) y))

  (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t))