Average Error: 0.0 → 0.0
Time: 5.8s
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 r260126 = x;
        double r260127 = y;
        double r260128 = r260126 * r260127;
        double r260129 = 2.0;
        double r260130 = r260128 / r260129;
        double r260131 = z;
        double r260132 = 8.0;
        double r260133 = r260131 / r260132;
        double r260134 = r260130 - r260133;
        return r260134;
}
↓
double f(double x, double y, double z) {
        double r260135 = x;
        double r260136 = y;
        double r260137 = r260135 * r260136;
        double r260138 = 2.0;
        double r260139 = r260137 / r260138;
        double r260140 = z;
        double r260141 = 8.0;
        double r260142 = r260140 / r260141;
        double r260143 = r260139 - r260142;
        return r260143;
}

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 2020046 
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, D"
  :precision binary64
  (- (/ (* x y) 2) (/ z 8)))