Average Error: 0.2 → 0.2
Time: 18.9s
Precision: binary64
Cost: 19520
\[e^{-w} \cdot {\ell}^{\left(e^{w}\right)}\]
↓
\[e^{-w} \cdot {\ell}^{\left(e^{w}\right)}\]
e^{-w} \cdot {\ell}^{\left(e^{w}\right)}
↓
e^{-w} \cdot {\ell}^{\left(e^{w}\right)}
(FPCore (w l) :precision binary64 (* (exp (- w)) (pow l (exp w))))
↓
(FPCore (w l) :precision binary64 (* (exp (- w)) (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(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

Alternatives

Alternative 1
Error0.2
Cost19456
\[\frac{{\ell}^{\left(e^{w}\right)}}{e^{w}}\]
Alternative 2
Error1.3
Cost13440
\[e^{-w} \cdot \left(\ell + w \cdot \left(\ell \cdot \log \ell\right)\right)\]
Alternative 3
Error1.6
Cost6656
\[e^{-w} \cdot \ell\]
Alternative 4
Error1.5
Cost385
\[\begin{array}{l} \mathbf{if}\;w \leq 0.14435385778461224:\\ \;\;\;\;\ell\\ \mathbf{else}:\\ \;\;\;\;0\\ \end{array}\]
Alternative 5
Error49.4
Cost64
\[0\]
Alternative 6
Error60.8
Cost64
\[1\]

Error

Derivation

  1. Initial program 0.2

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

  2. Simplified0.2

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

  3. Final simplification0.2

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

Reproduce

herbie shell --seed 2021044 
(FPCore (w l)
  :name "exp-w crasher"
  :precision binary64
  (* (exp (- w)) (pow l (exp w))))