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

Average Error: 0.0 → 0.0

Time: 4.0s

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 r729923 = 1.0;
        double r729924 = 8.0;
        double r729925 = r729923 / r729924;
        double r729926 = x;
        double r729927 = r729925 * r729926;
        double r729928 = y;
        double r729929 = z;
        double r729930 = r729928 * r729929;
        double r729931 = 2.0;
        double r729932 = r729930 / r729931;
        double r729933 = r729927 - r729932;
        double r729934 = t;
        double r729935 = r729933 + r729934;
        return r729935;
}

↓

double f(double x, double y, double z, double t) {
        double r729936 = 1.0;
        double r729937 = 8.0;
        double r729938 = r729936 / r729937;
        double r729939 = x;
        double r729940 = r729938 * r729939;
        double r729941 = y;
        double r729942 = z;
        double r729943 = r729941 * r729942;
        double r729944 = 2.0;
        double r729945 = r729943 / r729944;
        double r729946 = r729940 - r729945;
        double r729947 = t;
        double r729948 = r729946 + r729947;
        return r729948;
}

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 2020002 
(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))