Average Error: 29.1 → 29.1
Time: 634.0ms
Precision: binary64
\[\left|x + 1\right| - \left|x\right|\]
↓
\[\left|x + 1\right| - \left|x\right|\]
\left|x + 1\right| - \left|x\right|
↓
\left|x + 1\right| - \left|x\right|
double code(double x) {
	return ((double) (((double) fabs(((double) (x + 1.0)))) - ((double) fabs(x))));
}
↓
double code(double x) {
	return ((double) (((double) fabs(((double) (x + 1.0)))) - ((double) fabs(x))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 29.1

    \[\left|x + 1\right| - \left|x\right|\]

  2. Final simplification29.1

    \[\leadsto \left|x + 1\right| - \left|x\right|\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(- (fabs (+ x 1.0)) (fabs x))"
  :precision binary64
  (- (fabs (+ x 1.0)) (fabs x)))