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

Average Error: 0.0 → 0.0

Time: 1.0s

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 r640915 = 1.0;
        double r640916 = 8.0;
        double r640917 = r640915 / r640916;
        double r640918 = x;
        double r640919 = r640917 * r640918;
        double r640920 = y;
        double r640921 = z;
        double r640922 = r640920 * r640921;
        double r640923 = 2.0;
        double r640924 = r640922 / r640923;
        double r640925 = r640919 - r640924;
        double r640926 = t;
        double r640927 = r640925 + r640926;
        return r640927;
}

↓

double f(double x, double y, double z, double t) {
        double r640928 = 1.0;
        double r640929 = 8.0;
        double r640930 = r640928 / r640929;
        double r640931 = x;
        double r640932 = r640930 * r640931;
        double r640933 = y;
        double r640934 = z;
        double r640935 = r640933 * r640934;
        double r640936 = 2.0;
        double r640937 = r640935 / r640936;
        double r640938 = r640932 - r640937;
        double r640939 = t;
        double r640940 = r640938 + r640939;
        return r640940;
}

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 2020024 
(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))