Average Error: 0.0 → 0.0
Time: 721.0ms
Precision: binary64
\[\sqrt{e \cdot e + q}\]
↓
\[\sqrt{e \cdot e + q}\]
\sqrt{e \cdot e + q}
↓
\sqrt{e \cdot e + q}
double code(double q) {
	return ((double) sqrt(((double) (((double) (((double) M_E) * ((double) M_E))) + q))));
}
↓
double code(double q) {
	return ((double) sqrt(((double) (((double) (((double) M_E) * ((double) M_E))) + q))));
}

Error

Bits error versus q

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\sqrt{e \cdot e + q}\]

  2. Final simplification0.0

    \[\leadsto \sqrt{e \cdot e + q}\]

Reproduce

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