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 r808067 = 1.0;
        double r808068 = 8.0;
        double r808069 = r808067 / r808068;
        double r808070 = x;
        double r808071 = r808069 * r808070;
        double r808072 = y;
        double r808073 = z;
        double r808074 = r808072 * r808073;
        double r808075 = 2.0;
        double r808076 = r808074 / r808075;
        double r808077 = r808071 - r808076;
        double r808078 = t;
        double r808079 = r808077 + r808078;
        return r808079;
}

↓

double f(double x, double y, double z, double t) {
        double r808080 = 1.0;
        double r808081 = 8.0;
        double r808082 = r808080 / r808081;
        double r808083 = x;
        double r808084 = r808082 * r808083;
        double r808085 = y;
        double r808086 = z;
        double r808087 = r808085 * r808086;
        double r808088 = 2.0;
        double r808089 = r808087 / r808088;
        double r808090 = r808084 - r808089;
        double r808091 = t;
        double r808092 = r808090 + r808091;
        return r808092;
}

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 2019353 
(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))