Average Error: 0.0 → 0.0
Time: 884.0ms
Precision: binary64
\[{\left(x + 1\right)}^{2} + 1\]
↓
\[{\left(x + 1\right)}^{2} + 1\]
{\left(x + 1\right)}^{2} + 1
↓
{\left(x + 1\right)}^{2} + 1
double code(double x) {
	return ((double) (((double) pow(((double) (x + 1.0)), 2.0)) + 1.0));
}
↓
double code(double x) {
	return ((double) (((double) pow(((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

    \[{\left(x + 1\right)}^{2} + 1\]

  2. Final simplification0.0

    \[\leadsto {\left(x + 1\right)}^{2} + 1\]

Reproduce

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