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

Average Error: 0.0 → 0.0

Time: 2.7s

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 r765911 = 1.0;
        double r765912 = 8.0;
        double r765913 = r765911 / r765912;
        double r765914 = x;
        double r765915 = r765913 * r765914;
        double r765916 = y;
        double r765917 = z;
        double r765918 = r765916 * r765917;
        double r765919 = 2.0;
        double r765920 = r765918 / r765919;
        double r765921 = r765915 - r765920;
        double r765922 = t;
        double r765923 = r765921 + r765922;
        return r765923;
}

↓

double f(double x, double y, double z, double t) {
        double r765924 = 1.0;
        double r765925 = 8.0;
        double r765926 = r765924 / r765925;
        double r765927 = x;
        double r765928 = r765926 * r765927;
        double r765929 = y;
        double r765930 = z;
        double r765931 = r765929 * r765930;
        double r765932 = 2.0;
        double r765933 = r765931 / r765932;
        double r765934 = r765928 - r765933;
        double r765935 = t;
        double r765936 = r765934 + r765935;
        return r765936;
}

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 2020001 
(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))