Average Error: 1.0 → 0
Time: 6.0s
Precision: 64
$\frac{1 + \sqrt{2}}{5}$
$\log \left(e^{\frac{1 + \sqrt{2}}{5}}\right)$
\frac{1 + \sqrt{2}}{5}
\log \left(e^{\frac{1 + \sqrt{2}}{5}}\right)
double f() {
double r1441839 = 1.0;
double r1441840 = 2.0;
double r1441841 = sqrt(r1441840);
double r1441842 = r1441839 + r1441841;
double r1441843 = 5.0;
double r1441844 = r1441842 / r1441843;
return r1441844;
}


double f() {
double r1441845 = 1.0;
double r1441846 = 2.0;
double r1441847 = sqrt(r1441846);
double r1441848 = r1441845 + r1441847;
double r1441849 = 5.0;
double r1441850 = r1441848 / r1441849;
double r1441851 = exp(r1441850);
double r1441852 = log(r1441851);
return r1441852;
}



Try it out

Results

 In Out
Enter valid numbers for all inputs

Derivation

1. Initial program 1.0

$\frac{1 + \sqrt{2}}{5}$
2. Using strategy rm

$\leadsto \color{blue}{\log \left(e^{\frac{1 + \sqrt{2}}{5}}\right)}$
4. Final simplification0

$\leadsto \log \left(e^{\frac{1 + \sqrt{2}}{5}}\right)$

Reproduce

herbie shell --seed 1
(FPCore ()
:name "(1+sqrt(2))/ 5"
:precision binary64
(/ (+ 1 (sqrt 2)) 5))