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

Average Error: 0.0 → 0.0

Time: 2.4s

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 r667860 = 1.0;
        double r667861 = 8.0;
        double r667862 = r667860 / r667861;
        double r667863 = x;
        double r667864 = r667862 * r667863;
        double r667865 = y;
        double r667866 = z;
        double r667867 = r667865 * r667866;
        double r667868 = 2.0;
        double r667869 = r667867 / r667868;
        double r667870 = r667864 - r667869;
        double r667871 = t;
        double r667872 = r667870 + r667871;
        return r667872;
}

↓

double f(double x, double y, double z, double t) {
        double r667873 = 1.0;
        double r667874 = 8.0;
        double r667875 = r667873 / r667874;
        double r667876 = x;
        double r667877 = r667875 * r667876;
        double r667878 = y;
        double r667879 = z;
        double r667880 = r667878 * r667879;
        double r667881 = 2.0;
        double r667882 = r667880 / r667881;
        double r667883 = r667877 - r667882;
        double r667884 = t;
        double r667885 = r667883 + r667884;
        return r667885;
}

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 2019353 
(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))