Average Error: 21.2 → 21.2
Time: 596.0ms
Precision: binary64
\[\sqrt{x \cdot \left(x - 1\right)}\]
↓
\[\sqrt{x \cdot \left(x - 1\right)}\]
\sqrt{x \cdot \left(x - 1\right)}
↓
\sqrt{x \cdot \left(x - 1\right)}
double code(double x) {
	return ((double) sqrt(((double) (x * ((double) (x - 1.0))))));
}
↓
double code(double x) {
	return ((double) sqrt(((double) (x * ((double) (x - 1.0))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 21.2

    \[\sqrt{x \cdot \left(x - 1\right)}\]

  2. Final simplification21.2

    \[\leadsto \sqrt{x \cdot \left(x - 1\right)}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(sqrt (* x (- x 1)))"
  :precision binary64
  (sqrt (* x (- x 1.0))))