Average Error: 0 → 0
Time: 1.1s
Precision: binary64
\[\left(x \cdot 0.5\right) \cdot x\]
↓
\[x \cdot \left(x \cdot 0.5\right)\]
\left(x \cdot 0.5\right) \cdot x
↓
x \cdot \left(x \cdot 0.5\right)
(FPCore (x) :precision binary64 (* (* x 0.5) x))
↓
(FPCore (x) :precision binary64 (* x (* x 0.5)))
double code(double x) {
	return ((double) (((double) (x * 0.5)) * x));
}
↓
double code(double x) {
	return ((double) (x * ((double) (x * 0.5))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0

    \[\left(x \cdot 0.5\right) \cdot x\]

  2. Final simplification0

    \[\leadsto x \cdot \left(x \cdot 0.5\right)\]

Reproduce

herbie shell --seed 2020219 
(FPCore (x)
  :name "System.Random.MWC.Distributions:blocks from mwc-random-0.13.3.2"
  :precision binary64
  (* (* x 0.5) x))