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

Average Error: 0.0 → 0.0

Time: 14.5s

Precision: 64

Math

\[\left(\frac{1.0}{8.0} \cdot x - \frac{y \cdot z}{2.0}\right) + t\]

↓

\[t + \left(\frac{1.0}{8.0} \cdot x - \frac{y \cdot z}{2.0}\right)\]

C

double f(double x, double y, double z, double t) {
        double r40611818 = 1.0;
        double r40611819 = 8.0;
        double r40611820 = r40611818 / r40611819;
        double r40611821 = x;
        double r40611822 = r40611820 * r40611821;
        double r40611823 = y;
        double r40611824 = z;
        double r40611825 = r40611823 * r40611824;
        double r40611826 = 2.0;
        double r40611827 = r40611825 / r40611826;
        double r40611828 = r40611822 - r40611827;
        double r40611829 = t;
        double r40611830 = r40611828 + r40611829;
        return r40611830;
}

↓

double f(double x, double y, double z, double t) {
        double r40611831 = t;
        double r40611832 = 1.0;
        double r40611833 = 8.0;
        double r40611834 = r40611832 / r40611833;
        double r40611835 = x;
        double r40611836 = r40611834 * r40611835;
        double r40611837 = y;
        double r40611838 = z;
        double r40611839 = r40611837 * r40611838;
        double r40611840 = 2.0;
        double r40611841 = r40611839 / r40611840;
        double r40611842 = r40611836 - r40611841;
        double r40611843 = r40611831 + r40611842;
        return r40611843;
}

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

\[\left(\frac{x}{8.0} + t\right) - \frac{z}{2.0} \cdot y\]

Derivation

1. Initial program 0.0

   \[\left(\frac{1.0}{8.0} \cdot x - \frac{y \cdot z}{2.0}\right) + t\]

2. Final simplification 0.0

   \[\leadsto t + \left(\frac{1.0}{8.0} \cdot x - \frac{y \cdot z}{2.0}\right)\]

Reproduce

herbie shell --seed 2019158 
(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))