Average Error: 20.0 → 20.0
Time: 1.6s
Precision: binary64
\[\left(e^{x} - x\right) - 1\]
↓
\[\left(e^{x} - x\right) - 1\]
\left(e^{x} - x\right) - 1
↓
\left(e^{x} - x\right) - 1
double code(double x) {
	return ((double) (((double) (((double) exp(x)) - x)) - 1.0));
}
↓
double code(double x) {
	return ((double) (((double) (((double) exp(x)) - 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 20.0

    \[\left(e^{x} - x\right) - 1\]

  2. Final simplification20.0

    \[\leadsto \left(e^{x} - x\right) - 1\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(- (- (exp x) x) 1)"
  :precision binary64
  (- (- (exp x) x) 1.0))