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

Average Error: 0.0 → 0.0

Time: 13.0s

Precision: 64

Math

\[\left(\frac{1}{8} \cdot x - \frac{y \cdot z}{2}\right) + t\]

↓

\[t + \left(\frac{1}{8} \cdot x - \frac{y \cdot z}{2}\right)\]

C

double f(double x, double y, double z, double t) {
        double r470340 = 1.0;
        double r470341 = 8.0;
        double r470342 = r470340 / r470341;
        double r470343 = x;
        double r470344 = r470342 * r470343;
        double r470345 = y;
        double r470346 = z;
        double r470347 = r470345 * r470346;
        double r470348 = 2.0;
        double r470349 = r470347 / r470348;
        double r470350 = r470344 - r470349;
        double r470351 = t;
        double r470352 = r470350 + r470351;
        return r470352;
}

↓

double f(double x, double y, double z, double t) {
        double r470353 = t;
        double r470354 = 1.0;
        double r470355 = 8.0;
        double r470356 = r470354 / r470355;
        double r470357 = x;
        double r470358 = r470356 * r470357;
        double r470359 = y;
        double r470360 = z;
        double r470361 = r470359 * r470360;
        double r470362 = 2.0;
        double r470363 = r470361 / r470362;
        double r470364 = r470358 - r470363;
        double r470365 = r470353 + r470364;
        return r470365;
}

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

   \[\leadsto t + \left(\frac{1}{8} \cdot x - \frac{y \cdot z}{2}\right)\]

Reproduce

herbie shell --seed 2019179 
(FPCore (x y z t)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, B"

  :herbie-target
  (- (+ (/ x 8.0) t) (* (/ z 2.0) y))

  (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t))