Average Error: 38.4 → 38.4
Time: 1.4s
Precision: binary64
\[e^{\frac{\sqrt{\left|x\right|} \cdot x}{\left|x\right|}} - 1\]
↓
\[e^{\frac{\sqrt{\left|x\right|} \cdot x}{\left|x\right|}} - 1\]
e^{\frac{\sqrt{\left|x\right|} \cdot x}{\left|x\right|}} - 1
↓
e^{\frac{\sqrt{\left|x\right|} \cdot x}{\left|x\right|}} - 1
double code(double x) {
	return ((double) (((double) exp(((double) (((double) (((double) sqrt(((double) fabs(x)))) * x)) / ((double) fabs(x)))))) - 1.0));
}
↓
double code(double x) {
	return ((double) (((double) exp(((double) (((double) (((double) sqrt(((double) fabs(x)))) * x)) / ((double) fabs(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 38.4

    \[e^{\frac{\sqrt{\left|x\right|} \cdot x}{\left|x\right|}} - 1\]

  2. Final simplification38.4

    \[\leadsto e^{\frac{\sqrt{\left|x\right|} \cdot x}{\left|x\right|}} - 1\]

Reproduce

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