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

Average Error: 0.0 → 0.0

Time: 2.5s

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 r948077 = 1.0;
        double r948078 = 8.0;
        double r948079 = r948077 / r948078;
        double r948080 = x;
        double r948081 = r948079 * r948080;
        double r948082 = y;
        double r948083 = z;
        double r948084 = r948082 * r948083;
        double r948085 = 2.0;
        double r948086 = r948084 / r948085;
        double r948087 = r948081 - r948086;
        double r948088 = t;
        double r948089 = r948087 + r948088;
        return r948089;
}

↓

double f(double x, double y, double z, double t) {
        double r948090 = 1.0;
        double r948091 = 8.0;
        double r948092 = r948090 / r948091;
        double r948093 = x;
        double r948094 = r948092 * r948093;
        double r948095 = y;
        double r948096 = z;
        double r948097 = r948095 * r948096;
        double r948098 = 2.0;
        double r948099 = r948097 / r948098;
        double r948100 = r948094 - r948099;
        double r948101 = t;
        double r948102 = r948100 + r948101;
        return r948102;
}

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 2020057 
(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))