Average Error: 0.1 → 0.1
Time: 913.0ms
Precision: binary64
\[x - \left(\left(\frac{1}{6} \cdot x\right) \cdot x\right) \cdot x\]
↓
\[x - \left(\left(\frac{1}{6} \cdot x\right) \cdot x\right) \cdot x\]
x - \left(\left(\frac{1}{6} \cdot x\right) \cdot x\right) \cdot x
↓
x - \left(\left(\frac{1}{6} \cdot x\right) \cdot x\right) \cdot x
double code(double x) {
	return ((double) (x - ((double) (((double) (((double) (((double) (1.0 / 6.0)) * x)) * x)) * x))));
}
↓
double code(double x) {
	return ((double) (x - ((double) (((double) (((double) (((double) (1.0 / 6.0)) * x)) * x)) * x))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[x - \left(\left(\frac{1}{6} \cdot x\right) \cdot x\right) \cdot x\]

  2. Final simplification0.1

    \[\leadsto x - \left(\left(\frac{1}{6} \cdot x\right) \cdot x\right) \cdot x\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(- x (* (* (* (/ 1 6) x) x) x))"
  :precision binary64
  (- x (* (* (* (/ 1.0 6.0) x) x) x)))