Average Error: 16.4 → 16.4
Time: 13.3s
Precision: 64
$\sin \left({x}^{2}\right) - \left|x\right|$
$\sin \left(\sqrt[3]{{\left(\frac{1}{x}\right)}^{-2}} \cdot \left(\sqrt[3]{{\left(\frac{1}{x}\right)}^{-2}} \cdot \sqrt[3]{{\left(\frac{1}{x}\right)}^{-2}}\right)\right) - \left|x\right|$
\sin \left({x}^{2}\right) - \left|x\right|
\sin \left(\sqrt[3]{{\left(\frac{1}{x}\right)}^{-2}} \cdot \left(\sqrt[3]{{\left(\frac{1}{x}\right)}^{-2}} \cdot \sqrt[3]{{\left(\frac{1}{x}\right)}^{-2}}\right)\right) - \left|x\right|
double f(double x) {
double r4360955 = x;
double r4360956 = 2.0;
double r4360957 = pow(r4360955, r4360956);
double r4360958 = sin(r4360957);
double r4360959 = fabs(r4360955);
double r4360960 = r4360958 - r4360959;
return r4360960;
}


double f(double x) {
double r4360961 = 1.0;
double r4360962 = x;
double r4360963 = r4360961 / r4360962;
double r4360964 = -2.0;
double r4360965 = pow(r4360963, r4360964);
double r4360966 = cbrt(r4360965);
double r4360967 = r4360966 * r4360966;
double r4360968 = r4360966 * r4360967;
double r4360969 = sin(r4360968);
double r4360970 = fabs(r4360962);
double r4360971 = r4360969 - r4360970;
return r4360971;
}



# Try it out

Results

 In Out
Enter valid numbers for all inputs

# Derivation

1. Initial program 16.4

$\sin \left({x}^{2}\right) - \left|x\right|$
2. Taylor expanded around inf 16.4

$\leadsto \color{blue}{\sin \left({\left(\frac{1}{x}\right)}^{-2}\right)} - \left|x\right|$
3. Using strategy rm
$\leadsto \sin \color{blue}{\left(\left(\sqrt[3]{{\left(\frac{1}{x}\right)}^{-2}} \cdot \sqrt[3]{{\left(\frac{1}{x}\right)}^{-2}}\right) \cdot \sqrt[3]{{\left(\frac{1}{x}\right)}^{-2}}\right)} - \left|x\right|$
$\leadsto \sin \left(\sqrt[3]{{\left(\frac{1}{x}\right)}^{-2}} \cdot \left(\sqrt[3]{{\left(\frac{1}{x}\right)}^{-2}} \cdot \sqrt[3]{{\left(\frac{1}{x}\right)}^{-2}}\right)\right) - \left|x\right|$
herbie shell --seed 1