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

Average Error: 0.0 → 0.0

Time: 5.1s

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 r890021 = 1.0;
        double r890022 = 8.0;
        double r890023 = r890021 / r890022;
        double r890024 = x;
        double r890025 = r890023 * r890024;
        double r890026 = y;
        double r890027 = z;
        double r890028 = r890026 * r890027;
        double r890029 = 2.0;
        double r890030 = r890028 / r890029;
        double r890031 = r890025 - r890030;
        double r890032 = t;
        double r890033 = r890031 + r890032;
        return r890033;
}

↓

double f(double x, double y, double z, double t) {
        double r890034 = 1.0;
        double r890035 = 8.0;
        double r890036 = r890034 / r890035;
        double r890037 = x;
        double r890038 = r890036 * r890037;
        double r890039 = y;
        double r890040 = z;
        double r890041 = r890039 * r890040;
        double r890042 = 2.0;
        double r890043 = r890041 / r890042;
        double r890044 = r890038 - r890043;
        double r890045 = t;
        double r890046 = r890044 + r890045;
        return r890046;
}

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 2020046 
(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))