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

Average Error: 0.0 → 0.0

Time: 4.0s

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 r566359 = 1.0;
        double r566360 = 8.0;
        double r566361 = r566359 / r566360;
        double r566362 = x;
        double r566363 = r566361 * r566362;
        double r566364 = y;
        double r566365 = z;
        double r566366 = r566364 * r566365;
        double r566367 = 2.0;
        double r566368 = r566366 / r566367;
        double r566369 = r566363 - r566368;
        double r566370 = t;
        double r566371 = r566369 + r566370;
        return r566371;
}

↓

double f(double x, double y, double z, double t) {
        double r566372 = 1.0;
        double r566373 = 8.0;
        double r566374 = r566372 / r566373;
        double r566375 = x;
        double r566376 = r566374 * r566375;
        double r566377 = y;
        double r566378 = z;
        double r566379 = r566377 * r566378;
        double r566380 = 2.0;
        double r566381 = r566379 / r566380;
        double r566382 = r566376 - r566381;
        double r566383 = t;
        double r566384 = r566382 + r566383;
        return r566384;
}

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 2019294 
(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))