Average Error: 32.4 → 32.4
Time: 911.0ms
Precision: binary64
\[\sqrt{\left(x + 1\right) \cdot \left(x - 1\right)}\]
↓
\[\sqrt{\left(x + 1\right) \cdot \left(x - 1\right)}\]
\sqrt{\left(x + 1\right) \cdot \left(x - 1\right)}
↓
\sqrt{\left(x + 1\right) \cdot \left(x - 1\right)}
double code(double x) {
	return ((double) sqrt(((double) (((double) (x + 1.0)) * ((double) (x - 1.0))))));
}
↓
double code(double x) {
	return ((double) sqrt(((double) (((double) (x + 1.0)) * ((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 32.4

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

  2. Final simplification32.4

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

Reproduce

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