Average Error: 0.0 → 0.0
Time: 4.5s
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 r234967 = x;
        double r234968 = y;
        double r234969 = r234967 * r234968;
        double r234970 = 2.0;
        double r234971 = r234969 / r234970;
        double r234972 = z;
        double r234973 = 8.0;
        double r234974 = r234972 / r234973;
        double r234975 = r234971 - r234974;
        return r234975;
}
↓
double f(double x, double y, double z) {
        double r234976 = x;
        double r234977 = y;
        double r234978 = r234976 * r234977;
        double r234979 = 2.0;
        double r234980 = r234978 / r234979;
        double r234981 = z;
        double r234982 = 8.0;
        double r234983 = r234981 / r234982;
        double r234984 = r234980 - r234983;
        return r234984;
}

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 2020034 
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, D"
  :precision binary64
  (- (/ (* x y) 2) (/ z 8)))