Average Error: 1.3 → 1.3
Time: 1.5s
Precision: binary64
\[\left(1 + 0.0550000000000000003\right) \cdot {x}^{\left(\frac{1}{2.39999999999999991}\right)} - 0.0550000000000000003\]
↓
\[\left(1 + 0.0550000000000000003\right) \cdot {x}^{\left(\frac{1}{2.39999999999999991}\right)} - 0.0550000000000000003\]
\left(1 + 0.0550000000000000003\right) \cdot {x}^{\left(\frac{1}{2.39999999999999991}\right)} - 0.0550000000000000003
↓
\left(1 + 0.0550000000000000003\right) \cdot {x}^{\left(\frac{1}{2.39999999999999991}\right)} - 0.0550000000000000003
double code(double x) {
	return ((double) (((double) (((double) (1.0 + 0.055)) * ((double) pow(x, ((double) (1.0 / 2.4)))))) - 0.055));
}
↓
double code(double x) {
	return ((double) (((double) (((double) (1.0 + 0.055)) * ((double) pow(x, ((double) (1.0 / 2.4)))))) - 0.055));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 1.3

    \[\left(1 + 0.0550000000000000003\right) \cdot {x}^{\left(\frac{1}{2.39999999999999991}\right)} - 0.0550000000000000003\]

  2. Final simplification1.3

    \[\leadsto \left(1 + 0.0550000000000000003\right) \cdot {x}^{\left(\frac{1}{2.39999999999999991}\right)} - 0.0550000000000000003\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(- (* (+ 1 0.055) (pow x (/ 1.0 2.4))) 0.055)"
  :precision binary64
  (- (* (+ 1.0 0.055) (pow x (/ 1.0 2.4))) 0.055))