(- (- (exp x) 1) x)

Average Error: 39.3 → 39.3

Time: 1.4s

Precision: binary64

• could not determine a ground truth for program body

  1. x = -9145945464530978.0

Math

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

↓

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

C

double code(double x) {
	return ((double) (((double) (((double) exp(x)) - 1.0)) - x));
}

↓

double code(double x) {
	return ((double) (((double) (((double) exp(x)) - 1.0)) - x));
}

Error

Bits error versus x

Derivation

1. Initial program 39.3

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

2. Final simplification 39.3

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

Reproduce

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