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 r664282 = 1.0;
        double r664283 = 8.0;
        double r664284 = r664282 / r664283;
        double r664285 = x;
        double r664286 = r664284 * r664285;
        double r664287 = y;
        double r664288 = z;
        double r664289 = r664287 * r664288;
        double r664290 = 2.0;
        double r664291 = r664289 / r664290;
        double r664292 = r664286 - r664291;
        double r664293 = t;
        double r664294 = r664292 + r664293;
        return r664294;
}

↓

double f(double x, double y, double z, double t) {
        double r664295 = 1.0;
        double r664296 = 8.0;
        double r664297 = r664295 / r664296;
        double r664298 = x;
        double r664299 = r664297 * r664298;
        double r664300 = y;
        double r664301 = z;
        double r664302 = r664300 * r664301;
        double r664303 = 2.0;
        double r664304 = r664302 / r664303;
        double r664305 = r664299 - r664304;
        double r664306 = t;
        double r664307 = r664305 + r664306;
        return r664307;
}

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 2020064 
(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))