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

Average Error: 0.0 → 0.0

Time: 4.1s

Precision: 64

Math

\[\left(\frac{1}{8} \cdot x - \frac{y \cdot z}{2}\right) + t\]

↓

\[t + \left(\frac{1}{8} \cdot x - \frac{y \cdot z}{2}\right)\]

C

double f(double x, double y, double z, double t) {
        double r36681846 = 1.0;
        double r36681847 = 8.0;
        double r36681848 = r36681846 / r36681847;
        double r36681849 = x;
        double r36681850 = r36681848 * r36681849;
        double r36681851 = y;
        double r36681852 = z;
        double r36681853 = r36681851 * r36681852;
        double r36681854 = 2.0;
        double r36681855 = r36681853 / r36681854;
        double r36681856 = r36681850 - r36681855;
        double r36681857 = t;
        double r36681858 = r36681856 + r36681857;
        return r36681858;
}

↓

double f(double x, double y, double z, double t) {
        double r36681859 = t;
        double r36681860 = 1.0;
        double r36681861 = 8.0;
        double r36681862 = r36681860 / r36681861;
        double r36681863 = x;
        double r36681864 = r36681862 * r36681863;
        double r36681865 = y;
        double r36681866 = z;
        double r36681867 = r36681865 * r36681866;
        double r36681868 = 2.0;
        double r36681869 = r36681867 / r36681868;
        double r36681870 = r36681864 - r36681869;
        double r36681871 = r36681859 + r36681870;
        return r36681871;
}

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

   \[\leadsto t + \left(\frac{1}{8} \cdot x - \frac{y \cdot z}{2}\right)\]

Reproduce

herbie shell --seed 2019170 
(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))