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

Average Error: 0.0 → 0.0

Time: 4.9s

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 r737904 = 1.0;
        double r737905 = 8.0;
        double r737906 = r737904 / r737905;
        double r737907 = x;
        double r737908 = r737906 * r737907;
        double r737909 = y;
        double r737910 = z;
        double r737911 = r737909 * r737910;
        double r737912 = 2.0;
        double r737913 = r737911 / r737912;
        double r737914 = r737908 - r737913;
        double r737915 = t;
        double r737916 = r737914 + r737915;
        return r737916;
}

↓

double f(double x, double y, double z, double t) {
        double r737917 = 1.0;
        double r737918 = 8.0;
        double r737919 = r737917 / r737918;
        double r737920 = x;
        double r737921 = r737919 * r737920;
        double r737922 = y;
        double r737923 = z;
        double r737924 = r737922 * r737923;
        double r737925 = 2.0;
        double r737926 = r737924 / r737925;
        double r737927 = r737921 - r737926;
        double r737928 = t;
        double r737929 = r737927 + r737928;
        return r737929;
}

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 +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))