Average Error: 58.7 → 0.5
Time: 3.3s
Precision: binary64
\[\]
\[\]
↓
\[\]
↓
double code(double x) {
	return ((double) (((double) exp(x)) - 1.0));
}

↓
double code(double x) {
	return ((double) (x + ((double) (x * ((double) (x * ((double) (0.5 + ((double) (x * 0.16666666666666666))))))))));
}

Error
Bits error versus x
Try it out
Your Program's Arguments
Results
Enter valid numbers for all inputs
Target
Original58.7
Target0.5
Herbie0.5
\[\]
Derivation
  1. Initial program 58.7
    \[\]
  2. Taylor expanded around 0 0.5
    \[\leadsto \]
  3. Simplified0.5
    \[\leadsto \]
  4. Final simplification0.5
    \[\leadsto \]
Reproduce
herbie shell --seed 2020191 
(FPCore (x)
  :name "expm1 (example 3.7)"
  :precision binary64
  :pre (< -0.00017 x)

  :herbie-target
  (* x (+ (+ 1.0 (/ x 2.0)) (/ (* x x) 6.0)))

  (- (exp x) 1.0))