Average Error: 31.5 → 29.9
Time: 1.1s
Precision: binary64
\[\frac{\left(x - 1\right) \cdot \left(1 + x\right)}{\left(x \cdot x\right) \cdot x}\]
↓
\[\frac{1 + x}{\frac{{x}^{3}}{x - 1}}\]
\frac{\left(x - 1\right) \cdot \left(1 + x\right)}{\left(x \cdot x\right) \cdot x}
↓
\frac{1 + x}{\frac{{x}^{3}}{x - 1}}
double code(double x) {
	return ((double) (((double) (((double) (x - 1.0)) * ((double) (1.0 + x)))) / ((double) (((double) (x * x)) * x))));
}
↓
double code(double x) {
	return ((double) (((double) (1.0 + x)) / ((double) (((double) pow(x, 3.0)) / ((double) (x - 1.0))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 31.5

    \[\frac{\left(x - 1\right) \cdot \left(1 + x\right)}{\left(x \cdot x\right) \cdot x}\]

  2. Simplified29.9

    \[\leadsto \color{blue}{\frac{1 + x}{\frac{{x}^{3}}{x - 1}}}\]

  3. Final simplification29.9

    \[\leadsto \frac{1 + x}{\frac{{x}^{3}}{x - 1}}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(/ (* (- x 1) (+ 1 x)) (* (* x x) x))"
  :precision binary64
  (/ (* (- x 1.0) (+ 1.0 x)) (* (* x x) x)))