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

Average Error: 0.0 → 0.0

Time: 4.2s

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 r831956 = 1.0;
        double r831957 = 8.0;
        double r831958 = r831956 / r831957;
        double r831959 = x;
        double r831960 = r831958 * r831959;
        double r831961 = y;
        double r831962 = z;
        double r831963 = r831961 * r831962;
        double r831964 = 2.0;
        double r831965 = r831963 / r831964;
        double r831966 = r831960 - r831965;
        double r831967 = t;
        double r831968 = r831966 + r831967;
        return r831968;
}

↓

double f(double x, double y, double z, double t) {
        double r831969 = 1.0;
        double r831970 = 8.0;
        double r831971 = r831969 / r831970;
        double r831972 = x;
        double r831973 = r831971 * r831972;
        double r831974 = y;
        double r831975 = z;
        double r831976 = r831974 * r831975;
        double r831977 = 2.0;
        double r831978 = r831976 / r831977;
        double r831979 = r831973 - r831978;
        double r831980 = t;
        double r831981 = r831979 + r831980;
        return r831981;
}

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 2020065 
(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))