Average Error: 0.0 → 0.0
Time: 1.0s
Precision: 64
\[x \cdot e^{y \cdot y}\]
↓
\[x \cdot {e}^{\left(y \cdot y\right)}\]
x \cdot e^{y \cdot y}
↓
x \cdot {e}^{\left(y \cdot y\right)}
double code(double x, double y) {
	return ((double) (x * ((double) exp(((double) (y * y))))));
}
↓
double code(double x, double y) {
	return ((double) (x * ((double) pow(((double) M_E), ((double) (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

Target

Original0.0
Target0.0
Herbie0.0
\[x \cdot {\left(e^{y}\right)}^{y}\]

Derivation

  1. Initial program 0.0

    \[x \cdot e^{y \cdot y}\]
  2. Using strategy rm

  3. Applied *-un-lft-identity0.0

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

  4. Applied exp-prod0.0

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

  5. Simplified0.0

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

  6. Final simplification0.0

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

Reproduce

herbie shell --seed 2020113 +o rules:numerics
(FPCore (x y)
  :name "Data.Number.Erf:$dmerfcx from erf-2.0.0.0"
  :precision binary64

  :herbie-target
  (* x (pow (exp y) y))

  (* x (exp (* y y))))