Average Error: 0.1 → 0.1
Time: 11.6s
Precision: 64
\[\sin \left({\left(\sqrt{\tan^{-1}_* \frac{b}{b}}\right)}^{\left(b - a\right)}\right)\]
↓
\[\sin \left({\left(\sqrt{\tan^{-1}_* \frac{b}{b}}\right)}^{\left(b - a\right)}\right)\]
\sin \left({\left(\sqrt{\tan^{-1}_* \frac{b}{b}}\right)}^{\left(b - a\right)}\right)
↓
\sin \left({\left(\sqrt{\tan^{-1}_* \frac{b}{b}}\right)}^{\left(b - a\right)}\right)
double f(double a, double b) {
        double r410290 = b;
        double r410291 = atan2(r410290, r410290);
        double r410292 = sqrt(r410291);
        double r410293 = a;
        double r410294 = r410290 - r410293;
        double r410295 = pow(r410292, r410294);
        double r410296 = sin(r410295);
        return r410296;
}
↓
double f(double a, double b) {
        double r410297 = b;
        double r410298 = atan2(r410297, r410297);
        double r410299 = sqrt(r410298);
        double r410300 = a;
        double r410301 = r410297 - r410300;
        double r410302 = pow(r410299, r410301);
        double r410303 = sin(r410302);
        return r410303;
}

Error

Bits error versus a

Bits error versus b

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[\sin \left({\left(\sqrt{\tan^{-1}_* \frac{b}{b}}\right)}^{\left(b - a\right)}\right)\]

  2. Final simplification0.1

    \[\leadsto \sin \left({\left(\sqrt{\tan^{-1}_* \frac{b}{b}}\right)}^{\left(b - a\right)}\right)\]

Reproduce

herbie shell --seed 2019155 
(FPCore (a b)
  :name "Random Jason Timeout Test 003"
  (sin (pow (sqrt (atan2 b b)) (- b a))))