Average Error: 0.1 → 0.1
Time: 15.9s
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 r1468054 = b;
        double r1468055 = atan2(r1468054, r1468054);
        double r1468056 = sqrt(r1468055);
        double r1468057 = a;
        double r1468058 = r1468054 - r1468057;
        double r1468059 = pow(r1468056, r1468058);
        double r1468060 = sin(r1468059);
        return r1468060;
}
↓
double f(double a, double b) {
        double r1468061 = b;
        double r1468062 = atan2(r1468061, r1468061);
        double r1468063 = sqrt(r1468062);
        double r1468064 = a;
        double r1468065 = r1468061 - r1468064;
        double r1468066 = pow(r1468063, r1468065);
        double r1468067 = sin(r1468066);
        return r1468067;
}

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 2019170 
(FPCore (a b)
  :name "Random Jason Timeout Test 003"
  (sin (pow (sqrt (atan2 b b)) (- b a))))