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

Average Error: 0.0 → 0.0

Time: 3.8s

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 r465149 = 1.0;
        double r465150 = 8.0;
        double r465151 = r465149 / r465150;
        double r465152 = x;
        double r465153 = r465151 * r465152;
        double r465154 = y;
        double r465155 = z;
        double r465156 = r465154 * r465155;
        double r465157 = 2.0;
        double r465158 = r465156 / r465157;
        double r465159 = r465153 - r465158;
        double r465160 = t;
        double r465161 = r465159 + r465160;
        return r465161;
}

↓

double f(double x, double y, double z, double t) {
        double r465162 = 1.0;
        double r465163 = 8.0;
        double r465164 = r465162 / r465163;
        double r465165 = x;
        double r465166 = r465164 * r465165;
        double r465167 = y;
        double r465168 = z;
        double r465169 = r465167 * r465168;
        double r465170 = 2.0;
        double r465171 = r465169 / r465170;
        double r465172 = r465166 - r465171;
        double r465173 = t;
        double r465174 = r465172 + r465173;
        return r465174;
}

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 2019326 
(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))