Average Error: 0.0 → 0.0
Time: 586.0ms
Precision: binary64
\[a \cdot a - \frac{1}{3}\]
↓
\[a \cdot a - \frac{1}{3}\]
a \cdot a - \frac{1}{3}
↓
a \cdot a - \frac{1}{3}
double code(double a) {
	return ((double) (((double) (a * a)) - ((double) (1.0 / 3.0))));
}
↓
double code(double a) {
	return ((double) (((double) (a * a)) - ((double) (1.0 / 3.0))));
}

Error

Bits error versus a

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[a \cdot a - \frac{1}{3}\]

  2. Final simplification0.0

    \[\leadsto a \cdot a - \frac{1}{3}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (a)
  :name "(- (* a a) (/ 1 3))"
  :precision binary64
  (- (* a a) (/ 1.0 3.0)))