Average Error: 0.2 → 0.2
Time: 2.0s
Precision: binary64
\[\left(x - 1\right) + \sqrt{x - 1} \cdot \sqrt{x + 1}\]
↓
\[\left(x - 1\right) + \sqrt{x - 1} \cdot \sqrt{x + 1}\]
\left(x - 1\right) + \sqrt{x - 1} \cdot \sqrt{x + 1}
↓
\left(x - 1\right) + \sqrt{x - 1} \cdot \sqrt{x + 1}
double code(double x) {
	return ((double) (((double) (x - 1.0)) + ((double) (((double) sqrt(((double) (x - 1.0)))) * ((double) sqrt(((double) (x + 1.0))))))));
}
↓
double code(double x) {
	return ((double) (((double) (x - 1.0)) + ((double) (((double) sqrt(((double) (x - 1.0)))) * ((double) sqrt(((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 0.2

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

  2. Final simplification0.2

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

Reproduce

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