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

Average Error: 0.0 → 0.0

Time: 2.5s

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 r967483 = 1.0;
        double r967484 = 8.0;
        double r967485 = r967483 / r967484;
        double r967486 = x;
        double r967487 = r967485 * r967486;
        double r967488 = y;
        double r967489 = z;
        double r967490 = r967488 * r967489;
        double r967491 = 2.0;
        double r967492 = r967490 / r967491;
        double r967493 = r967487 - r967492;
        double r967494 = t;
        double r967495 = r967493 + r967494;
        return r967495;
}

↓

double f(double x, double y, double z, double t) {
        double r967496 = 1.0;
        double r967497 = 8.0;
        double r967498 = r967496 / r967497;
        double r967499 = x;
        double r967500 = r967498 * r967499;
        double r967501 = y;
        double r967502 = z;
        double r967503 = r967501 * r967502;
        double r967504 = 2.0;
        double r967505 = r967503 / r967504;
        double r967506 = r967500 - r967505;
        double r967507 = t;
        double r967508 = r967506 + r967507;
        return r967508;
}

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 2020035 
(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))