Average Error: 26.3 → 26.3
Time: 930.0ms
Precision: binary64
\[\sqrt{x \cdot x - y \cdot z}\]
↓
\[\sqrt{x \cdot x - y \cdot z}\]
\sqrt{x \cdot x - y \cdot z}
↓
\sqrt{x \cdot x - y \cdot z}
double code(double x, double y, double z) {
	return ((double) sqrt(((double) (((double) (x * x)) - ((double) (y * z))))));
}
↓
double code(double x, double y, double z) {
	return ((double) sqrt(((double) (((double) (x * x)) - ((double) (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 26.3

    \[\sqrt{x \cdot x - y \cdot z}\]

  2. Final simplification26.3

    \[\leadsto \sqrt{x \cdot x - y \cdot z}\]

Reproduce

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