Average Error: 0.6 → 0.6
Time: 697.0ms
Precision: binary64
\[\sqrt{1 + e^{1 + x}}\]
\[\sqrt{1 + e^{1 + x}}\]
\sqrt{1 + e^{1 + x}}
\sqrt{1 + e^{1 + x}}
double code(double x) {
	return ((double) sqrt(((double) (1.0 + ((double) exp(((double) (1.0 + x))))))));
}
double code(double x) {
	return ((double) sqrt(((double) (1.0 + ((double) exp(((double) (1.0 + x))))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.6

    \[\sqrt{1 + e^{1 + x}}\]
  2. Final simplification0.6

    \[\leadsto \sqrt{1 + e^{1 + x}}\]

Reproduce

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