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

Average Error: 0.0 → 0.0

Time: 1.6s

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 r734451 = 1.0;
        double r734452 = 8.0;
        double r734453 = r734451 / r734452;
        double r734454 = x;
        double r734455 = r734453 * r734454;
        double r734456 = y;
        double r734457 = z;
        double r734458 = r734456 * r734457;
        double r734459 = 2.0;
        double r734460 = r734458 / r734459;
        double r734461 = r734455 - r734460;
        double r734462 = t;
        double r734463 = r734461 + r734462;
        return r734463;
}

↓

double f(double x, double y, double z, double t) {
        double r734464 = 1.0;
        double r734465 = 8.0;
        double r734466 = r734464 / r734465;
        double r734467 = x;
        double r734468 = r734466 * r734467;
        double r734469 = y;
        double r734470 = z;
        double r734471 = r734469 * r734470;
        double r734472 = 2.0;
        double r734473 = r734471 / r734472;
        double r734474 = r734468 - r734473;
        double r734475 = t;
        double r734476 = r734474 + r734475;
        return r734476;
}

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 2020003 
(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))