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

Average Error: 0.0 → 0.0

Time: 7.7s

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 r485914 = 1.0;
        double r485915 = 8.0;
        double r485916 = r485914 / r485915;
        double r485917 = x;
        double r485918 = r485916 * r485917;
        double r485919 = y;
        double r485920 = z;
        double r485921 = r485919 * r485920;
        double r485922 = 2.0;
        double r485923 = r485921 / r485922;
        double r485924 = r485918 - r485923;
        double r485925 = t;
        double r485926 = r485924 + r485925;
        return r485926;
}

↓

double f(double x, double y, double z, double t) {
        double r485927 = 1.0;
        double r485928 = 8.0;
        double r485929 = r485927 / r485928;
        double r485930 = x;
        double r485931 = r485929 * r485930;
        double r485932 = y;
        double r485933 = z;
        double r485934 = r485932 * r485933;
        double r485935 = 2.0;
        double r485936 = r485934 / r485935;
        double r485937 = r485931 - r485936;
        double r485938 = t;
        double r485939 = r485937 + r485938;
        return r485939;
}

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 2019303 
(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))