Average Error: 0.0 → 0.0
Time: 1.1s
Precision: binary64
\[\sqrt{\left(x + y\right) + z}\]
↓
\[\sqrt{\left(x + y\right) + z}\]
\sqrt{\left(x + y\right) + z}
↓
\sqrt{\left(x + y\right) + z}
double code(double x, double y, double z) {
	return ((double) sqrt(((double) (((double) (x + y)) + z))));
}
↓
double code(double x, double y, double z) {
	return ((double) sqrt(((double) (((double) (x + y)) + z))));
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\sqrt{\left(x + y\right) + z}\]

  2. Final simplification0.0

    \[\leadsto \sqrt{\left(x + y\right) + z}\]

Reproduce

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