Average Error: 0.0 → 0.0
Time: 763.0ms
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 r145155 = x;
        double r145156 = y;
        double r145157 = r145155 * r145156;
        double r145158 = 2.0;
        double r145159 = r145157 / r145158;
        double r145160 = z;
        double r145161 = 8.0;
        double r145162 = r145160 / r145161;
        double r145163 = r145159 - r145162;
        return r145163;
}
↓
double f(double x, double y, double z) {
        double r145164 = x;
        double r145165 = y;
        double r145166 = r145164 * r145165;
        double r145167 = 2.0;
        double r145168 = r145166 / r145167;
        double r145169 = z;
        double r145170 = 8.0;
        double r145171 = r145169 / r145170;
        double r145172 = r145168 - r145171;
        return r145172;
}

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 2019354 +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)))