Average Error: 13.2 → 13.2
Time: 1.8s
Precision: binary64
\[\frac{\left(\left(x \cdot x\right) \cdot x\right) \cdot \left(1 - \left(\left(n \cdot n\right) \cdot n\right) \cdot n\right)}{720}\]
↓
\[\frac{\left(\left(x \cdot x\right) \cdot x\right) \cdot \left(1 - \left(\left(n \cdot n\right) \cdot n\right) \cdot n\right)}{720}\]
\frac{\left(\left(x \cdot x\right) \cdot x\right) \cdot \left(1 - \left(\left(n \cdot n\right) \cdot n\right) \cdot n\right)}{720}
↓
\frac{\left(\left(x \cdot x\right) \cdot x\right) \cdot \left(1 - \left(\left(n \cdot n\right) \cdot n\right) \cdot n\right)}{720}
double code(double x, double n) {
	return ((double) (((double) (((double) (((double) (x * x)) * x)) * ((double) (1.0 - ((double) (((double) (((double) (n * n)) * n)) * n)))))) / 720.0));
}
↓
double code(double x, double n) {
	return ((double) (((double) (((double) (((double) (x * x)) * x)) * ((double) (1.0 - ((double) (((double) (((double) (n * n)) * n)) * n)))))) / 720.0));
}

Error

Bits error versus x

Bits error versus n

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 13.2

    \[\frac{\left(\left(x \cdot x\right) \cdot x\right) \cdot \left(1 - \left(\left(n \cdot n\right) \cdot n\right) \cdot n\right)}{720}\]

  2. Final simplification13.2

    \[\leadsto \frac{\left(\left(x \cdot x\right) \cdot x\right) \cdot \left(1 - \left(\left(n \cdot n\right) \cdot n\right) \cdot n\right)}{720}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x n)
  :name "(/ (* (* (* x x) x) (- 1 (* (* (* n n) n) n))) 720)"
  :precision binary64
  (/ (* (* (* x x) x) (- 1.0 (* (* (* n n) n) n))) 720.0))