Average Error: 0.0 → 0.0
Time: 512.0ms
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 r217005 = x;
        double r217006 = y;
        double r217007 = r217005 * r217006;
        double r217008 = 2.0;
        double r217009 = r217007 / r217008;
        double r217010 = z;
        double r217011 = 8.0;
        double r217012 = r217010 / r217011;
        double r217013 = r217009 - r217012;
        return r217013;
}
↓
double f(double x, double y, double z) {
        double r217014 = x;
        double r217015 = y;
        double r217016 = r217014 * r217015;
        double r217017 = 2.0;
        double r217018 = r217016 / r217017;
        double r217019 = z;
        double r217020 = 8.0;
        double r217021 = r217019 / r217020;
        double r217022 = r217018 - r217021;
        return r217022;
}

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