Average Error: 0.0 → 0.0
Time: 714.0ms
Precision: binary64
\[10^{30} + \left(x - 10^{30}\right) \cdot y\]
↓
\[10^{30} + \left(x - 10^{30}\right) \cdot y\]
10^{30} + \left(x - 10^{30}\right) \cdot y
↓
10^{30} + \left(x - 10^{30}\right) \cdot y
double code(double x, double y) {
	return ((double) (1e+30 + ((double) (((double) (x - 1e+30)) * y))));
}
↓
double code(double x, double y) {
	return ((double) (1e+30 + ((double) (((double) (x - 1e+30)) * y))));
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

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

  2. Final simplification0.0

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

Reproduce

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