Average Error: 0.0 → 0.0
Time: 2.9s
Precision: binary64
\[\sin^{-1} x + \sqrt{x} \cdot \sqrt{{x}^{2}}\]
↓
\[\sin^{-1} x + \sqrt{x} \cdot \sqrt{{x}^{2}}\]
\sin^{-1} x + \sqrt{x} \cdot \sqrt{{x}^{2}}
↓
\sin^{-1} x + \sqrt{x} \cdot \sqrt{{x}^{2}}
double code(double x) {
	return ((double) (((double) asin(x)) + ((double) (((double) sqrt(x)) * ((double) sqrt(((double) pow(x, 2.0))))))));
}
↓
double code(double x) {
	return ((double) (((double) asin(x)) + ((double) (((double) sqrt(x)) * ((double) sqrt(((double) pow(x, 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 0.0

    \[\sin^{-1} x + \sqrt{x} \cdot \sqrt{{x}^{2}}\]

  2. Final simplification0.0

    \[\leadsto \sin^{-1} x + \sqrt{x} \cdot \sqrt{{x}^{2}}\]

Reproduce

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