Average Error: 0.1 → 0.1
Time: 11.5s
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 r209179 = b;
        double r209180 = atan2(r209179, r209179);
        double r209181 = sqrt(r209180);
        double r209182 = a;
        double r209183 = r209179 - r209182;
        double r209184 = pow(r209181, r209183);
        double r209185 = sin(r209184);
        return r209185;
}
↓
double f(double a, double b) {
        double r209186 = b;
        double r209187 = atan2(r209186, r209186);
        double r209188 = sqrt(r209187);
        double r209189 = a;
        double r209190 = r209186 - r209189;
        double r209191 = pow(r209188, r209190);
        double r209192 = sin(r209191);
        return r209192;
}

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 015"
  (sin (pow (sqrt (atan2 b b)) (- b a))))