Average Error: 16.1 → 16.1
Time: 766.0ms
Precision: binary64
\[\sqrt{1 + {b}^{2}}\]
↓
\[\sqrt{1 + {b}^{2}}\]
\sqrt{1 + {b}^{2}}
↓
\sqrt{1 + {b}^{2}}
double code(double b) {
	return ((double) sqrt(((double) (1.0 + ((double) pow(b, 2.0))))));
}
↓
double code(double b) {
	return ((double) sqrt(((double) (1.0 + ((double) pow(b, 2.0))))));
}

Error

Bits error versus b

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 16.1

    \[\sqrt{1 + {b}^{2}}\]

  2. Final simplification16.1

    \[\leadsto \sqrt{1 + {b}^{2}}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (b)
  :name "(sqrt (+ 1 (pow b 2)))"
  :precision binary64
  (sqrt (+ 1.0 (pow b 2.0))))