Average Error: 43.8 → 43.8
Time: 2.4s
Precision: binary64
\[\left(\left(\sqrt{\left({a}^{2} + {b}^{2}\right) + {c}^{2}} - a\right) - b\right) - c\]
↓
\[\left(\left(\sqrt{\left({a}^{2} + {b}^{2}\right) + {c}^{2}} - a\right) - b\right) - c\]
\left(\left(\sqrt{\left({a}^{2} + {b}^{2}\right) + {c}^{2}} - a\right) - b\right) - c
↓
\left(\left(\sqrt{\left({a}^{2} + {b}^{2}\right) + {c}^{2}} - a\right) - b\right) - c
double code(double a, double b, double c) {
	return ((double) (((double) (((double) (((double) sqrt(((double) (((double) (((double) pow(a, 2.0)) + ((double) pow(b, 2.0)))) + ((double) pow(c, 2.0)))))) - a)) - b)) - c));
}
↓
double code(double a, double b, double c) {
	return ((double) (((double) (((double) (((double) sqrt(((double) (((double) (((double) pow(a, 2.0)) + ((double) pow(b, 2.0)))) + ((double) pow(c, 2.0)))))) - a)) - b)) - c));
}

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 43.8

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

  2. Final simplification43.8

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

Reproduce

herbie shell --seed 2020152 
(FPCore (a b c)
  :name "(- (- (- (sqrt (+ (+ (pow a 2) (pow b 2)) (pow c 2))) a) b) c)"
  :precision binary64
  (- (- (- (sqrt (+ (+ (pow a 2.0) (pow b 2.0)) (pow c 2.0))) a) b) c))