Average Error: 0.0 → 0.0
Time: 525.0ms
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 r241109 = x;
        double r241110 = y;
        double r241111 = r241109 * r241110;
        double r241112 = 2.0;
        double r241113 = r241111 / r241112;
        double r241114 = z;
        double r241115 = 8.0;
        double r241116 = r241114 / r241115;
        double r241117 = r241113 - r241116;
        return r241117;
}
↓
double f(double x, double y, double z) {
        double r241118 = x;
        double r241119 = y;
        double r241120 = r241118 * r241119;
        double r241121 = 2.0;
        double r241122 = r241120 / r241121;
        double r241123 = z;
        double r241124 = 8.0;
        double r241125 = r241123 / r241124;
        double r241126 = r241122 - r241125;
        return r241126;
}

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)))