Average Error: 0.0 → 0.0
Time: 533.0ms
Precision: binary64
\[\sqrt{2} \cdot 0.5 - \left|x\right|\]
↓
\[\sqrt{2} \cdot 0.5 - \left|x\right|\]
\sqrt{2} \cdot 0.5 - \left|x\right|
↓
\sqrt{2} \cdot 0.5 - \left|x\right|
double code(double x) {
	return ((double) (((double) (((double) sqrt(2.0)) * 0.5)) - ((double) fabs(x))));
}
↓
double code(double x) {
	return ((double) (((double) (((double) sqrt(2.0)) * 0.5)) - ((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 0.0

    \[\sqrt{2} \cdot 0.5 - \left|x\right|\]

  2. Final simplification0.0

    \[\leadsto \sqrt{2} \cdot 0.5 - \left|x\right|\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(- (* (sqrt 2) 0.5) (fabs x))"
  :precision binary64
  (- (* (sqrt 2.0) 0.5) (fabs x)))