Average Error: 0.0 → 0.0
Time: 3.5s
Precision: 64
\[\frac{x \cdot y}{2.0} - \frac{z}{8.0}\]
\[\frac{x \cdot y}{2.0} - \frac{z}{8.0}\]
\frac{x \cdot y}{2.0} - \frac{z}{8.0}
\frac{x \cdot y}{2.0} - \frac{z}{8.0}
double f(double x, double y, double z) {
        double r12690992 = x;
        double r12690993 = y;
        double r12690994 = r12690992 * r12690993;
        double r12690995 = 2.0;
        double r12690996 = r12690994 / r12690995;
        double r12690997 = z;
        double r12690998 = 8.0;
        double r12690999 = r12690997 / r12690998;
        double r12691000 = r12690996 - r12690999;
        return r12691000;
}

double f(double x, double y, double z) {
        double r12691001 = x;
        double r12691002 = y;
        double r12691003 = r12691001 * r12691002;
        double r12691004 = 2.0;
        double r12691005 = r12691003 / r12691004;
        double r12691006 = z;
        double r12691007 = 8.0;
        double r12691008 = r12691006 / r12691007;
        double r12691009 = r12691005 - r12691008;
        return r12691009;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

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Results

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Derivation

  1. Initial program 0.0

    \[\frac{x \cdot y}{2.0} - \frac{z}{8.0}\]
  2. Final simplification0.0

    \[\leadsto \frac{x \cdot y}{2.0} - \frac{z}{8.0}\]

Reproduce

herbie shell --seed 2019163 
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, D"
  (- (/ (* x y) 2.0) (/ z 8.0)))