Average Error: 4.0 → 4.0
Time: 655.0ms
Precision: binary64
\[e^{x + 0.0100000000000000002} - e^{x}\]
↓
\[e^{x + 0.0100000000000000002} - e^{x}\]
e^{x + 0.0100000000000000002} - e^{x}
↓
e^{x + 0.0100000000000000002} - e^{x}
double code(double x) {
	return ((double) (((double) exp(((double) (x + 0.01)))) - ((double) exp(x))));
}
↓
double code(double x) {
	return ((double) (((double) exp(((double) (x + 0.01)))) - ((double) exp(x))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 4.0

    \[e^{x + 0.0100000000000000002} - e^{x}\]

  2. Final simplification4.0

    \[\leadsto e^{x + 0.0100000000000000002} - e^{x}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(- (exp (+ x 0.01)) (exp x))"
  :precision binary64
  (- (exp (+ x 0.01)) (exp x)))