Average Error: 0.0 → 0.0
Time: 862.0ms
Precision: binary64
\[\sqrt{\left(1 + x\right) \cdot \left(1 - x\right)}\]
↓
\[\sqrt{\left(1 + x\right) \cdot \left(1 - x\right)}\]
\sqrt{\left(1 + x\right) \cdot \left(1 - x\right)}
↓
\sqrt{\left(1 + x\right) \cdot \left(1 - x\right)}
double code(double x) {
	return ((double) sqrt(((double) (((double) (1.0 + x)) * ((double) (1.0 - x))))));
}
↓
double code(double x) {
	return ((double) sqrt(((double) (((double) (1.0 + x)) * ((double) (1.0 - x))))));
}

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

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

  2. Final simplification0.0

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

Reproduce

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