Average Error: 32.3 → 32.3
Time: 770.0ms
Precision: binary64
\[10^{30} + \left(x - 10^{30}\right) \cdot 1\]
\[10^{30} + \left(x - 10^{30}\right) \cdot 1\]
10^{30} + \left(x - 10^{30}\right) \cdot 1
10^{30} + \left(x - 10^{30}\right) \cdot 1
double code(double x) {
	return ((double) (1e+30 + ((double) (((double) (x - 1e+30)) * 1.0))));
}
double code(double x) {
	return ((double) (1e+30 + ((double) (((double) (x - 1e+30)) * 1.0))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 32.3

    \[10^{30} + \left(x - 10^{30}\right) \cdot 1\]
  2. Final simplification32.3

    \[\leadsto 10^{30} + \left(x - 10^{30}\right) \cdot 1\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(+ 1e+30 (* (- x 1e+30) 1))"
  :precision binary64
  (+ 1e+30 (* (- x 1e+30) 1.0)))