Average Error: 0.1 → 0.1
Time: 579.0ms
Precision: binary64
\[\sqrt{\sqrt{sqrtx + 1}}\]
↓
\[\sqrt{\sqrt{sqrtx + 1}}\]
\sqrt{\sqrt{sqrtx + 1}}
↓
\sqrt{\sqrt{sqrtx + 1}}
double code(double sqrtx) {
	return ((double) sqrt(((double) sqrt(((double) (sqrtx + 1.0))))));
}
↓
double code(double sqrtx) {
	return ((double) sqrt(((double) sqrt(((double) (sqrtx + 1.0))))));
}

Error

Bits error versus sqrtx

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[\sqrt{\sqrt{sqrtx + 1}}\]

  2. Final simplification0.1

    \[\leadsto \sqrt{\sqrt{sqrtx + 1}}\]

Reproduce

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