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

Average Error: 0.0 → 0.0

Time: 940.0ms

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 r853400 = 1.0;
        double r853401 = 8.0;
        double r853402 = r853400 / r853401;
        double r853403 = x;
        double r853404 = r853402 * r853403;
        double r853405 = y;
        double r853406 = z;
        double r853407 = r853405 * r853406;
        double r853408 = 2.0;
        double r853409 = r853407 / r853408;
        double r853410 = r853404 - r853409;
        double r853411 = t;
        double r853412 = r853410 + r853411;
        return r853412;
}

↓

double f(double x, double y, double z, double t) {
        double r853413 = 1.0;
        double r853414 = 8.0;
        double r853415 = r853413 / r853414;
        double r853416 = x;
        double r853417 = r853415 * r853416;
        double r853418 = y;
        double r853419 = z;
        double r853420 = r853418 * r853419;
        double r853421 = 2.0;
        double r853422 = r853420 / r853421;
        double r853423 = r853417 - r853422;
        double r853424 = t;
        double r853425 = r853423 + r853424;
        return r853425;
}

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 2019354 +o rules:numerics
(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))