Average Error: 31.7 → 31.7
Time: 934.0ms
Precision: binary64
\[\sqrt{{a}^{2} + {b}^{2}}\]
↓
\[\sqrt{{a}^{2} + {b}^{2}}\]
\sqrt{{a}^{2} + {b}^{2}}
↓
\sqrt{{a}^{2} + {b}^{2}}
double code(double a, double b) {
	return ((double) sqrt(((double) (((double) pow(a, 2.0)) + ((double) pow(b, 2.0))))));
}
↓
double code(double a, double b) {
	return ((double) sqrt(((double) (((double) pow(a, 2.0)) + ((double) pow(b, 2.0))))));
}

Error

Bits error versus a

Bits error versus b

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 31.7

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

  2. Final simplification31.7

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

Reproduce

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