Average Error: 37.9 → 37.9
Time: 1.3s
Precision: binary64
\[\sqrt{\left({a}^{2} + {b}^{2}\right) + {c}^{2}}\]
↓
\[\sqrt{\left({a}^{2} + {b}^{2}\right) + {c}^{2}}\]
\sqrt{\left({a}^{2} + {b}^{2}\right) + {c}^{2}}
↓
\sqrt{\left({a}^{2} + {b}^{2}\right) + {c}^{2}}
double code(double a, double b, double c) {
	return ((double) sqrt(((double) (((double) (((double) pow(a, 2.0)) + ((double) pow(b, 2.0)))) + ((double) pow(c, 2.0))))));
}
↓
double code(double a, double b, double c) {
	return ((double) sqrt(((double) (((double) (((double) pow(a, 2.0)) + ((double) pow(b, 2.0)))) + ((double) pow(c, 2.0))))));
}

Error

Bits error versus a

Bits error versus b

Bits error versus c

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 37.9

    \[\sqrt{\left({a}^{2} + {b}^{2}\right) + {c}^{2}}\]

  2. Final simplification37.9

    \[\leadsto \sqrt{\left({a}^{2} + {b}^{2}\right) + {c}^{2}}\]

Reproduce

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