Average Error: 30.3 → 0
Time: 553.0ms
Precision: binary64
\[\left(x + 0.10000000000000001\right) - x\]
↓
\[0.10000000000000001\]
\left(x + 0.10000000000000001\right) - x
↓
0.10000000000000001
double code(double x) {
	return ((double) (((double) (x + 0.1)) - x));
}
↓
double code(double x) {
	return 0.1;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 30.3

    \[\left(x + 0.10000000000000001\right) - x\]

  2. Simplified0

    \[\leadsto \color{blue}{0.10000000000000001}\]

  3. Final simplification0

    \[\leadsto 0.10000000000000001\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(- (+ x 0.1) x)"
  :precision binary64
  (- (+ x 0.1) x))