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

Average Error: 0.0 → 0.0

Time: 826.0ms

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 r668090 = 1.0;
        double r668091 = 8.0;
        double r668092 = r668090 / r668091;
        double r668093 = x;
        double r668094 = r668092 * r668093;
        double r668095 = y;
        double r668096 = z;
        double r668097 = r668095 * r668096;
        double r668098 = 2.0;
        double r668099 = r668097 / r668098;
        double r668100 = r668094 - r668099;
        double r668101 = t;
        double r668102 = r668100 + r668101;
        return r668102;
}

↓

double f(double x, double y, double z, double t) {
        double r668103 = 1.0;
        double r668104 = 8.0;
        double r668105 = r668103 / r668104;
        double r668106 = x;
        double r668107 = r668105 * r668106;
        double r668108 = y;
        double r668109 = z;
        double r668110 = r668108 * r668109;
        double r668111 = 2.0;
        double r668112 = r668110 / r668111;
        double r668113 = r668107 - r668112;
        double r668114 = t;
        double r668115 = r668113 + r668114;
        return r668115;
}

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 2020056 
(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))