Average Error: 0.1 → 0.1
Time: 11.2s
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 r593626 = b;
        double r593627 = atan2(r593626, r593626);
        double r593628 = sqrt(r593627);
        double r593629 = a;
        double r593630 = r593626 - r593629;
        double r593631 = pow(r593628, r593630);
        double r593632 = sin(r593631);
        return r593632;
}
↓
double f(double a, double b) {
        double r593633 = b;
        double r593634 = atan2(r593633, r593633);
        double r593635 = sqrt(r593634);
        double r593636 = a;
        double r593637 = r593633 - r593636;
        double r593638 = pow(r593635, r593637);
        double r593639 = sin(r593638);
        return r593639;
}

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))))