Average Error: 0.0 → 0.0
Time: 517.0ms
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 r187223 = x;
        double r187224 = y;
        double r187225 = r187223 * r187224;
        double r187226 = 2.0;
        double r187227 = r187225 / r187226;
        double r187228 = z;
        double r187229 = 8.0;
        double r187230 = r187228 / r187229;
        double r187231 = r187227 - r187230;
        return r187231;
}
↓
double f(double x, double y, double z) {
        double r187232 = x;
        double r187233 = y;
        double r187234 = r187232 * r187233;
        double r187235 = 2.0;
        double r187236 = r187234 / r187235;
        double r187237 = z;
        double r187238 = 8.0;
        double r187239 = r187237 / r187238;
        double r187240 = r187236 - r187239;
        return r187240;
}

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