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

Average Error: 0.0 → 0.0

Time: 4.8s

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 r574397 = 1.0;
        double r574398 = 8.0;
        double r574399 = r574397 / r574398;
        double r574400 = x;
        double r574401 = r574399 * r574400;
        double r574402 = y;
        double r574403 = z;
        double r574404 = r574402 * r574403;
        double r574405 = 2.0;
        double r574406 = r574404 / r574405;
        double r574407 = r574401 - r574406;
        double r574408 = t;
        double r574409 = r574407 + r574408;
        return r574409;
}

↓

double f(double x, double y, double z, double t) {
        double r574410 = 1.0;
        double r574411 = 8.0;
        double r574412 = r574410 / r574411;
        double r574413 = x;
        double r574414 = r574412 * r574413;
        double r574415 = y;
        double r574416 = z;
        double r574417 = r574415 * r574416;
        double r574418 = 2.0;
        double r574419 = r574417 / r574418;
        double r574420 = r574414 - r574419;
        double r574421 = t;
        double r574422 = r574420 + r574421;
        return r574422;
}

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 2019323 
(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))