Average Error: 33.0 → 33.0
Time: 1.1s
Precision: binary64
\[\left(\sqrt{x + 1} - 1\right) + x\]
↓
\[\left(\sqrt{x + 1} - 1\right) + x\]
\left(\sqrt{x + 1} - 1\right) + x
↓
\left(\sqrt{x + 1} - 1\right) + x
double code(double x) {
	return ((double) (((double) (((double) sqrt(((double) (x + 1.0)))) - 1.0)) + x));
}
↓
double code(double x) {
	return ((double) (((double) (((double) sqrt(((double) (x + 1.0)))) - 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 33.0

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

  2. Final simplification33.0

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

Reproduce

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