Average Error: 0.1 → 0.1
Time: 1.2s
Precision: binary64
\[{\left(\frac{x + 0.0550000000000000003}{1.05499999999999994}\right)}^{2.39999999999999991}\]
↓
\[{\left(\frac{x + 0.0550000000000000003}{1.05499999999999994}\right)}^{2.39999999999999991}\]
{\left(\frac{x + 0.0550000000000000003}{1.05499999999999994}\right)}^{2.39999999999999991}
↓
{\left(\frac{x + 0.0550000000000000003}{1.05499999999999994}\right)}^{2.39999999999999991}
double code(double x) {
	return ((double) pow(((double) (((double) (x + 0.055)) / 1.055)), 2.4));
}
↓
double code(double x) {
	return ((double) pow(((double) (((double) (x + 0.055)) / 1.055)), 2.4));
}

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

    \[{\left(\frac{x + 0.0550000000000000003}{1.05499999999999994}\right)}^{2.39999999999999991}\]

  2. Final simplification0.1

    \[\leadsto {\left(\frac{x + 0.0550000000000000003}{1.05499999999999994}\right)}^{2.39999999999999991}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(pow (/ (+ x 0.055) 1.055) 2.4)"
  :precision binary64
  (pow (/ (+ x 0.055) 1.055) 2.4))