Average Error: 0.0 → 0.0
Time: 635.0ms
Precision: binary64
\[e^{\left(x \cdot y\right) \cdot y}\]
↓
\[e^{y \cdot \left(x \cdot y\right)}\]
e^{\left(x \cdot y\right) \cdot y}
↓
e^{y \cdot \left(x \cdot y\right)}
(FPCore (x y) :precision binary64 (exp (* (* x y) y)))
↓
(FPCore (x y) :precision binary64 (exp (* y (* x y))))
double code(double x, double y) {
	return exp((x * y) * y);
}
↓
double code(double x, double y) {
	return exp(y * (x * 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 0.0

    \[e^{\left(x \cdot y\right) \cdot y}\]

  2. Final simplification0.0

    \[\leadsto e^{y \cdot \left(x \cdot y\right)}\]

Reproduce

herbie shell --seed 2020232 
(FPCore (x y)
  :name "Data.Random.Distribution.Normal:normalF from random-fu-0.2.6.2"
  :precision binary64
  (exp (* (* x y) y)))