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

Average Error: 0.0 → 0.0

Time: 8.6s

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 r422823 = 1.0;
        double r422824 = 8.0;
        double r422825 = r422823 / r422824;
        double r422826 = x;
        double r422827 = r422825 * r422826;
        double r422828 = y;
        double r422829 = z;
        double r422830 = r422828 * r422829;
        double r422831 = 2.0;
        double r422832 = r422830 / r422831;
        double r422833 = r422827 - r422832;
        double r422834 = t;
        double r422835 = r422833 + r422834;
        return r422835;
}

↓

double f(double x, double y, double z, double t) {
        double r422836 = 1.0;
        double r422837 = 8.0;
        double r422838 = r422836 / r422837;
        double r422839 = x;
        double r422840 = r422838 * r422839;
        double r422841 = y;
        double r422842 = z;
        double r422843 = r422841 * r422842;
        double r422844 = 2.0;
        double r422845 = r422843 / r422844;
        double r422846 = r422840 - r422845;
        double r422847 = t;
        double r422848 = r422846 + r422847;
        return r422848;
}

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 2019212 +o rules:numerics
(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))