Average Error: 16.1 → 16.1
Time: 772.0ms
Precision: binary64
\[\sqrt{{x}^{2} + {\left( 3 \cdot 10^{5} \right)}^{2}}\]
↓
\[\sqrt{{x}^{2} + {\left( 3 \cdot 10^{5} \right)}^{2}}\]
\sqrt{{x}^{2} + {\left( 3 \cdot 10^{5} \right)}^{2}}
↓
\sqrt{{x}^{2} + {\left( 3 \cdot 10^{5} \right)}^{2}}
double code(double x) {
	return ((double) sqrt(((double) (((double) pow(x, 2.0)) + ((double) pow(300000.0, 2.0))))));
}
↓
double code(double x) {
	return ((double) sqrt(((double) (((double) pow(x, 2.0)) + ((double) pow(300000.0, 2.0))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 16.1

    \[\sqrt{{x}^{2} + {\left( 3 \cdot 10^{5} \right)}^{2}}\]

  2. Final simplification16.1

    \[\leadsto \sqrt{{x}^{2} + {\left( 3 \cdot 10^{5} \right)}^{2}}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(sqrt (+ (pow x 2) (pow 300000.0 2)))"
  :precision binary64
  (sqrt (+ (pow x 2.0) (pow 300000.0 2.0))))