Average Error: 37.9 → 37.9
Time: 905.0ms
Precision: binary64
\[\sqrt{\left(a \cdot a + b \cdot b\right) + c \cdot c}\]
↓
\[\sqrt{\left(a \cdot a + b \cdot b\right) + c \cdot c}\]
\sqrt{\left(a \cdot a + b \cdot b\right) + c \cdot c}
↓
\sqrt{\left(a \cdot a + b \cdot b\right) + c \cdot c}
double code(double a, double b, double c) {
	return ((double) sqrt(((double) (((double) (((double) (a * a)) + ((double) (b * b)))) + ((double) (c * c))))));
}
↓
double code(double a, double b, double c) {
	return ((double) sqrt(((double) (((double) (((double) (a * a)) + ((double) (b * b)))) + ((double) (c * 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 37.9

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

  2. Final simplification37.9

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

Reproduce

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