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

Average Error: 0.0 → 0.0

Time: 960.0ms

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 r756950 = 1.0;
        double r756951 = 8.0;
        double r756952 = r756950 / r756951;
        double r756953 = x;
        double r756954 = r756952 * r756953;
        double r756955 = y;
        double r756956 = z;
        double r756957 = r756955 * r756956;
        double r756958 = 2.0;
        double r756959 = r756957 / r756958;
        double r756960 = r756954 - r756959;
        double r756961 = t;
        double r756962 = r756960 + r756961;
        return r756962;
}

↓

double f(double x, double y, double z, double t) {
        double r756963 = 1.0;
        double r756964 = 8.0;
        double r756965 = r756963 / r756964;
        double r756966 = x;
        double r756967 = r756965 * r756966;
        double r756968 = y;
        double r756969 = z;
        double r756970 = r756968 * r756969;
        double r756971 = 2.0;
        double r756972 = r756970 / r756971;
        double r756973 = r756967 - r756972;
        double r756974 = t;
        double r756975 = r756973 + r756974;
        return r756975;
}

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 2020062 
(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))