Average Error: 0.0 → 0.0
Time: 8.6s
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 r187151 = x;
        double r187152 = y;
        double r187153 = r187151 * r187152;
        double r187154 = 2.0;
        double r187155 = r187153 / r187154;
        double r187156 = z;
        double r187157 = 8.0;
        double r187158 = r187156 / r187157;
        double r187159 = r187155 - r187158;
        return r187159;
}
↓
double f(double x, double y, double z) {
        double r187160 = x;
        double r187161 = y;
        double r187162 = r187160 * r187161;
        double r187163 = 2.0;
        double r187164 = r187162 / r187163;
        double r187165 = z;
        double r187166 = 8.0;
        double r187167 = r187165 / r187166;
        double r187168 = r187164 - r187167;
        return r187168;
}

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 2019303 
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, D"
  :precision binary64
  (- (/ (* x y) 2) (/ z 8)))