Average Error: 30.4 → 30.4
Time: 1.5s
Precision: binary64
\[{x}^{2} - {\left(x - 0.10000000000000001\right)}^{2}\]
↓
\[{x}^{2} - {\left(x - 0.10000000000000001\right)}^{2}\]
{x}^{2} - {\left(x - 0.10000000000000001\right)}^{2}
↓
{x}^{2} - {\left(x - 0.10000000000000001\right)}^{2}
double code(double x) {
	return ((double) (((double) pow(x, 2.0)) - ((double) pow(((double) (x - 0.1)), 2.0))));
}
↓
double code(double x) {
	return ((double) (((double) pow(x, 2.0)) - ((double) pow(((double) (x - 0.1)), 2.0))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 30.4

    \[{x}^{2} - {\left(x - 0.10000000000000001\right)}^{2}\]

  2. Final simplification30.4

    \[\leadsto {x}^{2} - {\left(x - 0.10000000000000001\right)}^{2}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(- (pow x 2.0) (pow (- x 0.1) 2.0))"
  :precision binary64
  (- (pow x 2.0) (pow (- x 0.1) 2.0)))