Average Error: 0.5 → 0.5
Time: 1.4s
Precision: binary64
\[\frac{\left(\left(9 \cdot b\right) \cdot c - 27 \cdot d\right) - \left(\left(2 \cdot b\right) \cdot b\right) \cdot b}{54}\]
↓
\[\frac{\left(\left(9 \cdot b\right) \cdot c - 27 \cdot d\right) - \left(\left(2 \cdot b\right) \cdot b\right) \cdot b}{54}\]
\frac{\left(\left(9 \cdot b\right) \cdot c - 27 \cdot d\right) - \left(\left(2 \cdot b\right) \cdot b\right) \cdot b}{54}
↓
\frac{\left(\left(9 \cdot b\right) \cdot c - 27 \cdot d\right) - \left(\left(2 \cdot b\right) \cdot b\right) \cdot b}{54}
double code(double b, double c, double d) {
	return ((double) (((double) (((double) (((double) (((double) (9.0 * b)) * c)) - ((double) (27.0 * d)))) - ((double) (((double) (((double) (2.0 * b)) * b)) * b)))) / 54.0));
}
↓
double code(double b, double c, double d) {
	return ((double) (((double) (((double) (((double) (((double) (9.0 * b)) * c)) - ((double) (27.0 * d)))) - ((double) (((double) (((double) (2.0 * b)) * b)) * b)))) / 54.0));
}

Error

Bits error versus b

Bits error versus c

Bits error versus d

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.5

    \[\frac{\left(\left(9 \cdot b\right) \cdot c - 27 \cdot d\right) - \left(\left(2 \cdot b\right) \cdot b\right) \cdot b}{54}\]

  2. Final simplification0.5

    \[\leadsto \frac{\left(\left(9 \cdot b\right) \cdot c - 27 \cdot d\right) - \left(\left(2 \cdot b\right) \cdot b\right) \cdot b}{54}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (b c d)
  :name "(/ (- (- (* (* 9 b) c) (* 27 d)) (* (* (* 2 b) b) b)) 54)"
  :precision binary64
  (/ (- (- (* (* 9.0 b) c) (* 27.0 d)) (* (* (* 2.0 b) b) b)) 54.0))