Average Error: 0.0 → 0.0
Time: 529.0ms
Precision: binary64
\[\left(x + 1\right) \cdot 2 - 1\]
↓
\[\left(x + 1\right) \cdot 2 - 1\]
\left(x + 1\right) \cdot 2 - 1
↓
\left(x + 1\right) \cdot 2 - 1
double code(double x) {
	return ((double) (((double) (((double) (x + 1.0)) * 2.0)) - 1.0));
}
↓
double code(double x) {
	return ((double) (((double) (((double) (x + 1.0)) * 2.0)) - 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 0.0

    \[\left(x + 1\right) \cdot 2 - 1\]

  2. Final simplification0.0

    \[\leadsto \left(x + 1\right) \cdot 2 - 1\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(- (* (+ x 1) 2) 1)"
  :precision binary64
  (- (* (+ x 1.0) 2.0) 1.0))