Average Error: 52.6 → 52.6
Time: 1.8s
Precision: binary64
\[\sqrt{\left({\left(x - y\right)}^{2} + {\left(z - w\right)}^{2}\right) + {\left(q - p\right)}^{2}}\]
↓
\[\sqrt{\left({\left(x - y\right)}^{2} + {\left(z - w\right)}^{2}\right) + {\left(q - p\right)}^{2}}\]
\sqrt{\left({\left(x - y\right)}^{2} + {\left(z - w\right)}^{2}\right) + {\left(q - p\right)}^{2}}
↓
\sqrt{\left({\left(x - y\right)}^{2} + {\left(z - w\right)}^{2}\right) + {\left(q - p\right)}^{2}}
double code(double x, double y, double z, double w, double q, double p) {
	return ((double) sqrt(((double) (((double) (((double) pow(((double) (x - y)), 2.0)) + ((double) pow(((double) (z - w)), 2.0)))) + ((double) pow(((double) (q - p)), 2.0))))));
}
↓
double code(double x, double y, double z, double w, double q, double p) {
	return ((double) sqrt(((double) (((double) (((double) pow(((double) (x - y)), 2.0)) + ((double) pow(((double) (z - w)), 2.0)))) + ((double) pow(((double) (q - p)), 2.0))))));
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus w

Bits error versus q

Bits error versus p

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 52.6

    \[\sqrt{\left({\left(x - y\right)}^{2} + {\left(z - w\right)}^{2}\right) + {\left(q - p\right)}^{2}}\]

  2. Final simplification52.6

    \[\leadsto \sqrt{\left({\left(x - y\right)}^{2} + {\left(z - w\right)}^{2}\right) + {\left(q - p\right)}^{2}}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x y z w q p)
  :name "(sqrt (+ (+ (pow (- x y) 2) (pow (- z w) 2)) (pow (- q p) 2)))"
  :precision binary64
  (sqrt (+ (+ (pow (- x y) 2.0) (pow (- z w) 2.0)) (pow (- q p) 2.0))))