Average Error: 0.1 → 0.1
Time: 23.1s
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 r8982 = b;
        double r8983 = atan2(r8982, r8982);
        double r8984 = sqrt(r8983);
        double r8985 = a;
        double r8986 = r8982 - r8985;
        double r8987 = pow(r8984, r8986);
        double r8988 = sin(r8987);
        return r8988;
}
↓
double f(double a, double b) {
        double r8989 = b;
        double r8990 = atan2(r8989, r8989);
        double r8991 = sqrt(r8990);
        double r8992 = a;
        double r8993 = r8989 - r8992;
        double r8994 = pow(r8991, r8993);
        double r8995 = sin(r8994);
        return r8995;
}

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))))