Average Error: 26.7 → 10.6
Time: 1.0s
Precision: binary64
\[\frac{1 - \left(b \cdot c\right) \cdot c}{c \cdot c}\]
↓
\[\frac{\frac{1}{c} - b \cdot c}{c}\]
\frac{1 - \left(b \cdot c\right) \cdot c}{c \cdot c}
↓
\frac{\frac{1}{c} - b \cdot c}{c}
double code(double b, double c) {
	return ((double) (((double) (1.0 - ((double) (((double) (b * c)) * c)))) / ((double) (c * c))));
}
↓
double code(double b, double c) {
	return ((double) (((double) (((double) (1.0 / c)) - ((double) (b * c)))) / c));
}

Error

Bits error versus b

Bits error versus c

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 26.7

    \[\frac{1 - \left(b \cdot c\right) \cdot c}{c \cdot c}\]

  2. Simplified10.6

    \[\leadsto \color{blue}{\frac{\frac{1}{c} - b \cdot c}{c}}\]

  3. Final simplification10.6

    \[\leadsto \frac{\frac{1}{c} - b \cdot c}{c}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (b c)
  :name "(/ (- 1 (* (* b c) c)) (* c c))"
  :precision binary64
  (/ (- 1.0 (* (* b c) c)) (* c c)))