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 r552526 = b;
        double r552527 = atan2(r552526, r552526);
        double r552528 = sqrt(r552527);
        double r552529 = a;
        double r552530 = r552526 - r552529;
        double r552531 = pow(r552528, r552530);
        double r552532 = sin(r552531);
        return r552532;
}
↓
double f(double a, double b) {
        double r552533 = b;
        double r552534 = atan2(r552533, r552533);
        double r552535 = sqrt(r552534);
        double r552536 = a;
        double r552537 = r552533 - r552536;
        double r552538 = pow(r552535, r552537);
        double r552539 = sin(r552538);
        return r552539;
}

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 2019168 +o rules:numerics
(FPCore (a b)
  :name "Random Jason Timeout Test 015"
  (sin (pow (sqrt (atan2 b b)) (- b a))))