Average Error: 0.2 → 0.2
Time: 632.0ms
Precision: binary64
\[9.87654000000000032 + \frac{\left(12.3455999999999992 - 9.87654000000000032\right) \cdot \left(x - 8\right)}{13 - 8}\]
↓
\[9.87654000000000032 + \frac{\left(12.3455999999999992 - 9.87654000000000032\right) \cdot \left(x - 8\right)}{13 - 8}\]
9.87654000000000032 + \frac{\left(12.3455999999999992 - 9.87654000000000032\right) \cdot \left(x - 8\right)}{13 - 8}
↓
9.87654000000000032 + \frac{\left(12.3455999999999992 - 9.87654000000000032\right) \cdot \left(x - 8\right)}{13 - 8}
double code(double x) {
	return ((double) (9.87654 + ((double) (((double) (((double) (12.3456 - 9.87654)) * ((double) (x - 8.0)))) / ((double) (13.0 - 8.0))))));
}
↓
double code(double x) {
	return ((double) (9.87654 + ((double) (((double) (((double) (12.3456 - 9.87654)) * ((double) (x - 8.0)))) / ((double) (13.0 - 8.0))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.2

    \[9.87654000000000032 + \frac{\left(12.3455999999999992 - 9.87654000000000032\right) \cdot \left(x - 8\right)}{13 - 8}\]

  2. Final simplification0.2

    \[\leadsto 9.87654000000000032 + \frac{\left(12.3455999999999992 - 9.87654000000000032\right) \cdot \left(x - 8\right)}{13 - 8}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(+ 9.87654 (/ (* (- 12.3456 9.87654) (- x 8)) (- 13 8)))"
  :precision binary64
  (+ 9.87654 (/ (* (- 12.3456 9.87654) (- x 8.0)) (- 13.0 8.0))))