Average Error: 0.0 → 0.0
Time: 2.7s
Precision: binary64
\[x \cdot y - x\]
↓
\[x \cdot \left(y - 1\right)\]
x \cdot y - x
↓
x \cdot \left(y - 1\right)
(FPCore (x y) :precision binary64 (- (* x y) x))
↓
(FPCore (x y) :precision binary64 (* x (- y 1.0)))
double code(double x, double y) {
	return (x * y) - x;
}
↓
double code(double x, double y) {
	return x * (y - 1.0);
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[x \cdot y - x\]

  2. Taylor expanded around 0 0.0

    \[\leadsto \color{blue}{x \cdot \left(y - 1\right)}\]

  3. Final simplification0.0

    \[\leadsto x \cdot \left(y - 1\right)\]

Reproduce

herbie shell --seed 2021128 
(FPCore (x y)
  :name "Data.Histogram.Bin.LogBinD:$cbinSizeN from histogram-fill-0.8.4.1"
  :precision binary64
  (- (* x y) x))