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

Average Error: 0.0 → 0.0

Time: 3.4s

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 r445292 = 1.0;
        double r445293 = 8.0;
        double r445294 = r445292 / r445293;
        double r445295 = x;
        double r445296 = r445294 * r445295;
        double r445297 = y;
        double r445298 = z;
        double r445299 = r445297 * r445298;
        double r445300 = 2.0;
        double r445301 = r445299 / r445300;
        double r445302 = r445296 - r445301;
        double r445303 = t;
        double r445304 = r445302 + r445303;
        return r445304;
}

↓

double f(double x, double y, double z, double t) {
        double r445305 = 1.0;
        double r445306 = 8.0;
        double r445307 = r445305 / r445306;
        double r445308 = x;
        double r445309 = r445307 * r445308;
        double r445310 = y;
        double r445311 = z;
        double r445312 = r445310 * r445311;
        double r445313 = 2.0;
        double r445314 = r445312 / r445313;
        double r445315 = r445309 - r445314;
        double r445316 = t;
        double r445317 = r445315 + r445316;
        return r445317;
}

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 2019326 
(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))