Average Error: 0.1 → 0.1
Time: 21.1s
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 r524976 = b;
        double r524977 = atan2(r524976, r524976);
        double r524978 = sqrt(r524977);
        double r524979 = a;
        double r524980 = r524976 - r524979;
        double r524981 = pow(r524978, r524980);
        double r524982 = sin(r524981);
        return r524982;
}
↓
double f(double a, double b) {
        double r524983 = b;
        double r524984 = atan2(r524983, r524983);
        double r524985 = sqrt(r524984);
        double r524986 = a;
        double r524987 = r524983 - r524986;
        double r524988 = pow(r524985, r524987);
        double r524989 = sin(r524988);
        return r524989;
}

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 
(FPCore (a b)
  :name "Random Jason Timeout Test 015"
  (sin (pow (sqrt (atan2 b b)) (- b a))))