(- (- (pow e x) x) 1)

Average Error: 29.2 → 29.2

Time: 2.1s

Precision: binary64

• could not determine a ground truth for program body

  1. e = 4.949035435717869e-118
  2. x = 1.238312629512551e+16

Math

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

↓

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

C

double code(double e, double x) {
	return ((double) (((double) (((double) pow(e, x)) - x)) - 1.0));
}

↓

double code(double e, double x) {
	return ((double) (((double) (((double) pow(e, x)) - x)) - 1.0));
}

Error

Bits error versus e

Bits error versus x

Derivation

1. Initial program 29.2

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

2. Final simplification 29.2

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

Reproduce

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