Average Error: 0.0 → 0.0
Time: 541.0ms
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 r180724 = x;
        double r180725 = y;
        double r180726 = r180724 * r180725;
        double r180727 = 2.0;
        double r180728 = r180726 / r180727;
        double r180729 = z;
        double r180730 = 8.0;
        double r180731 = r180729 / r180730;
        double r180732 = r180728 - r180731;
        return r180732;
}
↓
double f(double x, double y, double z) {
        double r180733 = x;
        double r180734 = y;
        double r180735 = r180733 * r180734;
        double r180736 = 2.0;
        double r180737 = r180735 / r180736;
        double r180738 = z;
        double r180739 = 8.0;
        double r180740 = r180738 / r180739;
        double r180741 = r180737 - r180740;
        return r180741;
}

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 2020047 +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)))