Average Error: 30.9 → 30.9
Time: 1.2s
Precision: binary64
\[x - \sqrt{{x}^{2} - x}\]
↓
\[x - \sqrt{{x}^{2} - x}\]
x - \sqrt{{x}^{2} - x}
↓
x - \sqrt{{x}^{2} - x}
double code(double x) {
	return ((double) (x - ((double) sqrt(((double) (((double) pow(x, 2.0)) - x))))));
}
↓
double code(double x) {
	return ((double) (x - ((double) sqrt(((double) (((double) pow(x, 2.0)) - x))))));
}

Error

Bits error versus x

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 30.9

    \[x - \sqrt{{x}^{2} - x}\]

  2. Final simplification30.9

    \[\leadsto x - \sqrt{{x}^{2} - x}\]

Reproduce

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