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

Average Error: 0.0 → 0.0

Time: 2.2s

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 r774428 = 1.0;
        double r774429 = 8.0;
        double r774430 = r774428 / r774429;
        double r774431 = x;
        double r774432 = r774430 * r774431;
        double r774433 = y;
        double r774434 = z;
        double r774435 = r774433 * r774434;
        double r774436 = 2.0;
        double r774437 = r774435 / r774436;
        double r774438 = r774432 - r774437;
        double r774439 = t;
        double r774440 = r774438 + r774439;
        return r774440;
}

↓

double f(double x, double y, double z, double t) {
        double r774441 = 1.0;
        double r774442 = 8.0;
        double r774443 = r774441 / r774442;
        double r774444 = x;
        double r774445 = r774443 * r774444;
        double r774446 = y;
        double r774447 = z;
        double r774448 = r774446 * r774447;
        double r774449 = 2.0;
        double r774450 = r774448 / r774449;
        double r774451 = r774445 - r774450;
        double r774452 = t;
        double r774453 = r774451 + r774452;
        return r774453;
}

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 2020027 
(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))