Average Error: 34.7 → 0
Time: 1.3s
Precision: binary64
\[\left({10}^{50} + a\right) - {10}^{50}\]
↓
\[a\]
\left({10}^{50} + a\right) - {10}^{50}
↓
a
double code(double a) {
	return ((double) (((double) (((double) pow(10.0, 50.0)) + a)) - ((double) pow(10.0, 50.0))));
}
↓
double code(double a) {
	return a;
}

Error

Bits error versus a

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 34.7

    \[\left({10}^{50} + a\right) - {10}^{50}\]

  2. Simplified0

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

  3. Final simplification0

    \[\leadsto a\]

Reproduce

herbie shell --seed 2020152 
(FPCore (a)
  :name "(- (+ (pow 10.0 50.0) a) (pow 10.0 50.0))"
  :precision binary64
  (- (+ (pow 10.0 50.0) a) (pow 10.0 50.0)))