(- x (floor x))

Average Error: 0 → 0

Time: 386.0ms

Precision: binary64

Math

\[x - \left\lfloorx\right\rfloor\]

↓

\[x - \left\lfloorx\right\rfloor\]

C

double code(double x) {
	return ((double) (x - ((double) floor(x))));
}

↓

double code(double x) {
	return ((double) (x - ((double) floor(x))));
}

Error

Bits error versus x

Derivation

1. Initial program 0

   \[x - \left\lfloorx\right\rfloor\]

2. Final simplification 0

   \[\leadsto x - \left\lfloorx\right\rfloor\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(- x (floor x))"
  :precision binary64
  (- x (floor x)))