Average Error: 0.0 → 0.0
Time: 4.0s
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 r225958 = x;
        double r225959 = y;
        double r225960 = r225958 * r225959;
        double r225961 = 2.0;
        double r225962 = r225960 / r225961;
        double r225963 = z;
        double r225964 = 8.0;
        double r225965 = r225963 / r225964;
        double r225966 = r225962 - r225965;
        return r225966;
}
↓
double f(double x, double y, double z) {
        double r225967 = x;
        double r225968 = y;
        double r225969 = r225967 * r225968;
        double r225970 = 2.0;
        double r225971 = r225969 / r225970;
        double r225972 = z;
        double r225973 = 8.0;
        double r225974 = r225972 / r225973;
        double r225975 = r225971 - r225974;
        return r225975;
}

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 2020001 
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, D"
  :precision binary64
  (- (/ (* x y) 2) (/ z 8)))