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

Average Error: 0.0 → 0.0

Time: 956.0ms

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 r702412 = 1.0;
        double r702413 = 8.0;
        double r702414 = r702412 / r702413;
        double r702415 = x;
        double r702416 = r702414 * r702415;
        double r702417 = y;
        double r702418 = z;
        double r702419 = r702417 * r702418;
        double r702420 = 2.0;
        double r702421 = r702419 / r702420;
        double r702422 = r702416 - r702421;
        double r702423 = t;
        double r702424 = r702422 + r702423;
        return r702424;
}

↓

double f(double x, double y, double z, double t) {
        double r702425 = 1.0;
        double r702426 = 8.0;
        double r702427 = r702425 / r702426;
        double r702428 = x;
        double r702429 = r702427 * r702428;
        double r702430 = y;
        double r702431 = z;
        double r702432 = r702430 * r702431;
        double r702433 = 2.0;
        double r702434 = r702432 / r702433;
        double r702435 = r702429 - r702434;
        double r702436 = t;
        double r702437 = r702435 + r702436;
        return r702437;
}

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 2019356 
(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))