Average Error: 0.1 → 0.1
Time: 12.3s
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 r9544 = b;
        double r9545 = atan2(r9544, r9544);
        double r9546 = sqrt(r9545);
        double r9547 = a;
        double r9548 = r9544 - r9547;
        double r9549 = pow(r9546, r9548);
        double r9550 = sin(r9549);
        return r9550;
}
↓
double f(double a, double b) {
        double r9551 = b;
        double r9552 = atan2(r9551, r9551);
        double r9553 = sqrt(r9552);
        double r9554 = a;
        double r9555 = r9551 - r9554;
        double r9556 = pow(r9553, r9555);
        double r9557 = sin(r9556);
        return r9557;
}

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 2019323 
(FPCore (a b)
  :name "Random Jason Timeout Test 003"
  :precision binary64
  (sin (pow (sqrt (atan2 b b)) (- b a))))