Average Error: 5.9 → 2.8
Time: 1.1s
Precision: binary64
\[\frac{k}{\left(\left(f \cdot f\right) \cdot f\right) \cdot f}\]
↓
\[\frac{\frac{k}{f}}{{f}^{3}}\]
\frac{k}{\left(\left(f \cdot f\right) \cdot f\right) \cdot f}
↓
\frac{\frac{k}{f}}{{f}^{3}}
double code(double k, double f) {
	return ((double) (k / ((double) (((double) (((double) (f * f)) * f)) * f))));
}
↓
double code(double k, double f) {
	return ((double) (((double) (k / f)) / ((double) pow(f, 3.0))));
}

Error

Bits error versus k

Bits error versus f

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 5.9

    \[\frac{k}{\left(\left(f \cdot f\right) \cdot f\right) \cdot f}\]

  2. Simplified2.8

    \[\leadsto \color{blue}{\frac{\frac{k}{f}}{{f}^{3}}}\]

  3. Final simplification2.8

    \[\leadsto \frac{\frac{k}{f}}{{f}^{3}}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (k f)
  :name "(/ k (* (* (* f f) f) f))"
  :precision binary64
  (/ k (* (* (* f f) f) f)))