Average Error: 31.0 → 31.0
Time: 842.0ms
Precision: binary64
\[\sqrt{x \cdot x + x} - x\]
↓
\[\sqrt{x \cdot x + x} - x\]
\sqrt{x \cdot x + x} - x
↓
\sqrt{x \cdot x + x} - x
double code(double x) {
	return ((double) (((double) sqrt(((double) (((double) (x * x)) + x)))) - x));
}
↓
double code(double x) {
	return ((double) (((double) sqrt(((double) (((double) (x * x)) + x)))) - x));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 31.0

    \[\sqrt{x \cdot x + x} - x\]

  2. Final simplification31.0

    \[\leadsto \sqrt{x \cdot x + x} - x\]

Reproduce

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