Average Error: 0.4 → 0.4
Time: 784.0ms
Precision: binary64
\[\frac{a \cdot a - 3 \cdot b}{9}\]
↓
\[\frac{a \cdot a - 3 \cdot b}{9}\]
\frac{a \cdot a - 3 \cdot b}{9}
↓
\frac{a \cdot a - 3 \cdot b}{9}
double code(double a, double b) {
	return ((double) (((double) (((double) (a * a)) - ((double) (3.0 * b)))) / 9.0));
}
↓
double code(double a, double b) {
	return ((double) (((double) (((double) (a * a)) - ((double) (3.0 * b)))) / 9.0));
}

Error

Bits error versus a

Bits error versus b

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Your Program's Arguments

Results

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Derivation

  1. Initial program 0.4

    \[\frac{a \cdot a - 3 \cdot b}{9}\]

  2. Final simplification0.4

    \[\leadsto \frac{a \cdot a - 3 \cdot b}{9}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (a b)
  :name "(/ (- (* a a) (* 3 b)) 9)"
  :precision binary64
  (/ (- (* a a) (* 3.0 b)) 9.0))