Average Error: 0.1 → 0.1
Time: 859.0ms
Precision: binary64
\[\left(1 + x\right) + \left(x \cdot y\right) \cdot y\]
↓
\[\left(1 + x\right) + \left(x \cdot y\right) \cdot y\]
\left(1 + x\right) + \left(x \cdot y\right) \cdot y
↓
\left(1 + x\right) + \left(x \cdot y\right) \cdot y
double code(double x, double y) {
	return ((double) (((double) (1.0 + x)) + ((double) (((double) (x * y)) * y))));
}
↓
double code(double x, double y) {
	return ((double) (((double) (1.0 + x)) + ((double) (((double) (x * y)) * y))));
}

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 0.1

    \[\left(1 + x\right) + \left(x \cdot y\right) \cdot y\]

  2. Final simplification0.1

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

Reproduce

herbie shell --seed 2020153 
(FPCore (x y)
  :name "(+ (+ 1 x) (* (* x y) y))"
  :precision binary64
  (+ (+ 1.0 x) (* (* x y) y)))