Average Error: 15.0 → 15.0
Time: 874.0ms
Precision: binary64
\[\frac{1}{\sqrt{1 + {b}^{2}}}\]
↓
\[\frac{1}{\sqrt{1 + {b}^{2}}}\]
\frac{1}{\sqrt{1 + {b}^{2}}}
↓
\frac{1}{\sqrt{1 + {b}^{2}}}
double code(double b) {
	return ((double) (1.0 / ((double) sqrt(((double) (1.0 + ((double) pow(b, 2.0))))))));
}
↓
double code(double b) {
	return ((double) (1.0 / ((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 15.0

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

  2. Final simplification15.0

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

Reproduce

herbie shell --seed 2020152 
(FPCore (b)
  :name "(/ 1 (sqrt (+ 1 (pow b 2))))"
  :precision binary64
  (/ 1.0 (sqrt (+ 1.0 (pow b 2.0)))))