Average Error: 21.4 → 21.4
Time: 563.0ms
Precision: binary64
\[\sqrt{q \cdot \left(q - 1\right)}\]
↓
\[\sqrt{q \cdot \left(q - 1\right)}\]
\sqrt{q \cdot \left(q - 1\right)}
↓
\sqrt{q \cdot \left(q - 1\right)}
double code(double q) {
	return ((double) sqrt(((double) (q * ((double) (q - 1.0))))));
}
↓
double code(double q) {
	return ((double) sqrt(((double) (q * ((double) (q - 1.0))))));
}

Error

Bits error versus q

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 21.4

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

  2. Final simplification21.4

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

Reproduce

herbie shell --seed 2020153 
(FPCore (q)
  :name "(sqrt (* q (- q 1)))"
  :precision binary64
  (sqrt (* q (- q 1.0))))