Average Error: 0.0 → 0.0
Time: 856.0ms
Precision: 64
\[\frac{x \cdot y}{2} - \frac{z}{8}\]
↓
\[\frac{x \cdot y}{2} - \frac{z}{8}\]
\frac{x \cdot y}{2} - \frac{z}{8}
↓
\frac{x \cdot y}{2} - \frac{z}{8}
double f(double x, double y, double z) {
        double r224937 = x;
        double r224938 = y;
        double r224939 = r224937 * r224938;
        double r224940 = 2.0;
        double r224941 = r224939 / r224940;
        double r224942 = z;
        double r224943 = 8.0;
        double r224944 = r224942 / r224943;
        double r224945 = r224941 - r224944;
        return r224945;
}
↓
double f(double x, double y, double z) {
        double r224946 = x;
        double r224947 = y;
        double r224948 = r224946 * r224947;
        double r224949 = 2.0;
        double r224950 = r224948 / r224949;
        double r224951 = z;
        double r224952 = 8.0;
        double r224953 = r224951 / r224952;
        double r224954 = r224950 - r224953;
        return r224954;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\frac{x \cdot y}{2} - \frac{z}{8}\]

  2. Final simplification0.0

    \[\leadsto \frac{x \cdot y}{2} - \frac{z}{8}\]

Reproduce

herbie shell --seed 2020081 +o rules:numerics
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, D"
  :precision binary64
  (- (/ (* x y) 2) (/ z 8)))