Average Error: 0.3 → 0.3
Time: 25.8s
Precision: binary64
\[e^{-w} \cdot {\ell}^{\left(e^{w}\right)} \]
↓
\[e^{-w} \cdot \left({\left({1}^{\left(\frac{e^{w}}{2}\right)}\right)}^{2} \cdot {\ell}^{\left(e^{w}\right)}\right) \]
e^{-w} \cdot {\ell}^{\left(e^{w}\right)}
↓
e^{-w} \cdot \left({\left({1}^{\left(\frac{e^{w}}{2}\right)}\right)}^{2} \cdot {\ell}^{\left(e^{w}\right)}\right)

(FPCore (w l) :precision binary64 (* (exp (- w)) (pow l (exp w))))
↓
(FPCore (w l)
 :precision binary64
 (* (exp (- w)) (* (pow (pow 1.0 (/ (exp w) 2.0)) 2.0) (pow l (exp w)))))
double code(double w, double l) {
	return exp(-w) * pow(l, exp(w));
}
↓
double code(double w, double l) {
	return exp(-w) * (pow(pow(1.0, (exp(w) / 2.0)), 2.0) * pow(l, exp(w)));
}

Error

Bits error versus w

Bits error versus l

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.3

    \[e^{-w} \cdot {\ell}^{\left(e^{w}\right)} \]

  2. Applied egg-rr0.3

    \[\leadsto e^{-w} \cdot \color{blue}{\left({\left({1}^{\left(\frac{e^{w}}{2}\right)}\right)}^{2} \cdot {\ell}^{\left(e^{w}\right)}\right)} \]

  3. Final simplification0.3

    \[\leadsto e^{-w} \cdot \left({\left({1}^{\left(\frac{e^{w}}{2}\right)}\right)}^{2} \cdot {\ell}^{\left(e^{w}\right)}\right) \]

Reproduce

herbie shell --seed 2022129 
(FPCore (w l)
  :name "exp-w crasher"
  :precision binary64
  (* (exp (- w)) (pow l (exp w))))