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

Average Error: 0.0 → 0.0

Time: 9.0s

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 r534849 = 1.0;
        double r534850 = 8.0;
        double r534851 = r534849 / r534850;
        double r534852 = x;
        double r534853 = r534851 * r534852;
        double r534854 = y;
        double r534855 = z;
        double r534856 = r534854 * r534855;
        double r534857 = 2.0;
        double r534858 = r534856 / r534857;
        double r534859 = r534853 - r534858;
        double r534860 = t;
        double r534861 = r534859 + r534860;
        return r534861;
}

↓

double f(double x, double y, double z, double t) {
        double r534862 = 1.0;
        double r534863 = 8.0;
        double r534864 = r534862 / r534863;
        double r534865 = x;
        double r534866 = r534864 * r534865;
        double r534867 = y;
        double r534868 = z;
        double r534869 = r534867 * r534868;
        double r534870 = 2.0;
        double r534871 = r534869 / r534870;
        double r534872 = r534866 - r534871;
        double r534873 = t;
        double r534874 = r534872 + r534873;
        return r534874;
}

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 2019198 
(FPCore (x y z t)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, B"

  :herbie-target
  (- (+ (/ x 8.0) t) (* (/ z 2.0) y))

  (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t))