Average Error: 29.9 → 29.9
Time: 3.2s
Precision: binary64
\[{\left(x + 1\right)}^{0.25} - {x}^{0.25}\]
↓
\[{\left(x + 1\right)}^{0.25} - {x}^{0.25}\]
{\left(x + 1\right)}^{0.25} - {x}^{0.25}
↓
{\left(x + 1\right)}^{0.25} - {x}^{0.25}
double code(double x) {
	return ((double) (((double) pow(((double) (x + 1.0)), 0.25)) - ((double) pow(x, 0.25))));
}
↓
double code(double x) {
	return ((double) (((double) pow(((double) (x + 1.0)), 0.25)) - ((double) pow(x, 0.25))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 29.9

    \[{\left(x + 1\right)}^{0.25} - {x}^{0.25}\]

  2. Final simplification29.9

    \[\leadsto {\left(x + 1\right)}^{0.25} - {x}^{0.25}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(- (pow (+ x 1) 0.25) (pow x 0.25))"
  :precision binary64
  (- (pow (+ x 1.0) 0.25) (pow x 0.25)))