Average Error: 0.0 → 0.0
Time: 11.1s
Precision: 64
\[\frac{x \cdot y}{2} - \frac{z}{8}\]
↓
\[\frac{y}{2} \cdot x - \frac{z}{8}\]
\frac{x \cdot y}{2} - \frac{z}{8}
↓
\frac{y}{2} \cdot x - \frac{z}{8}
double f(double x, double y, double z) {
        double r10984585 = x;
        double r10984586 = y;
        double r10984587 = r10984585 * r10984586;
        double r10984588 = 2.0;
        double r10984589 = r10984587 / r10984588;
        double r10984590 = z;
        double r10984591 = 8.0;
        double r10984592 = r10984590 / r10984591;
        double r10984593 = r10984589 - r10984592;
        return r10984593;
}
↓
double f(double x, double y, double z) {
        double r10984594 = y;
        double r10984595 = 2.0;
        double r10984596 = r10984594 / r10984595;
        double r10984597 = x;
        double r10984598 = r10984596 * r10984597;
        double r10984599 = z;
        double r10984600 = 8.0;
        double r10984601 = r10984599 / r10984600;
        double r10984602 = r10984598 - r10984601;
        return r10984602;
}

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. Using strategy rm

  3. Applied *-un-lft-identity0.0

    \[\leadsto \frac{x \cdot y}{\color{blue}{1 \cdot 2}} - \frac{z}{8}\]

  4. Applied times-frac0.0

    \[\leadsto \color{blue}{\frac{x}{1} \cdot \frac{y}{2}} - \frac{z}{8}\]

  5. Simplified0.0

    \[\leadsto \color{blue}{x} \cdot \frac{y}{2} - \frac{z}{8}\]

  6. Final simplification0.0

    \[\leadsto \frac{y}{2} \cdot x - \frac{z}{8}\]

Reproduce

herbie shell --seed 2019170 
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, D"
  (- (/ (* x y) 2.0) (/ z 8.0)))