Average Error: 0.1 → 0.1
Time: 673.0ms
Precision: binary64
\[\mathsf{expm1}\left(x\right) + 1\]
↓
\[\mathsf{expm1}\left(x\right) + 1\]
\mathsf{expm1}\left(x\right) + 1
↓
\mathsf{expm1}\left(x\right) + 1
double code(double x) {
	return ((double) (((double) expm1(x)) + 1.0));
}
↓
double code(double x) {
	return ((double) (((double) expm1(x)) + 1.0));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[\mathsf{expm1}\left(x\right) + 1\]

  2. Final simplification0.1

    \[\leadsto \mathsf{expm1}\left(x\right) + 1\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(+ (expm1 x) 1)"
  :precision binary64
  (+ (expm1 x) 1.0))