Average Error: 0.1 → 0.1
Time: 2.2s
Precision: binary64
\[\left(\left(\left(x + \frac{{x}^{3}}{3}\right) + \frac{{x}^{5}}{5}\right) + \frac{{x}^{7}}{7}\right) + \frac{{x}^{9}}{9}\]
↓
\[\left(\left(\left(x + \frac{{x}^{3}}{3}\right) + \frac{{x}^{5}}{5}\right) + \frac{{x}^{7}}{7}\right) + \frac{{x}^{9}}{9}\]
\left(\left(\left(x + \frac{{x}^{3}}{3}\right) + \frac{{x}^{5}}{5}\right) + \frac{{x}^{7}}{7}\right) + \frac{{x}^{9}}{9}
↓
\left(\left(\left(x + \frac{{x}^{3}}{3}\right) + \frac{{x}^{5}}{5}\right) + \frac{{x}^{7}}{7}\right) + \frac{{x}^{9}}{9}
double code(double x) {
	return ((double) (((double) (((double) (((double) (x + ((double) (((double) pow(x, 3.0)) / 3.0)))) + ((double) (((double) pow(x, 5.0)) / 5.0)))) + ((double) (((double) pow(x, 7.0)) / 7.0)))) + ((double) (((double) pow(x, 9.0)) / 9.0))));
}
↓
double code(double x) {
	return ((double) (((double) (((double) (((double) (x + ((double) (((double) pow(x, 3.0)) / 3.0)))) + ((double) (((double) pow(x, 5.0)) / 5.0)))) + ((double) (((double) pow(x, 7.0)) / 7.0)))) + ((double) (((double) pow(x, 9.0)) / 9.0))));
}

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

    \[\left(\left(\left(x + \frac{{x}^{3}}{3}\right) + \frac{{x}^{5}}{5}\right) + \frac{{x}^{7}}{7}\right) + \frac{{x}^{9}}{9}\]

  2. Final simplification0.1

    \[\leadsto \left(\left(\left(x + \frac{{x}^{3}}{3}\right) + \frac{{x}^{5}}{5}\right) + \frac{{x}^{7}}{7}\right) + \frac{{x}^{9}}{9}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(+ (+ (+ (+ x (/ (pow x 3) 3)) (/ (pow x 5) 5)) (/ (pow x 7) 7)) (/ (pow x 9) 9))"
  :precision binary64
  (+ (+ (+ (+ x (/ (pow x 3.0) 3.0)) (/ (pow x 5.0) 5.0)) (/ (pow x 7.0) 7.0)) (/ (pow x 9.0) 9.0)))