Average Error: 0.1 → 0.1
Time: 12.7s
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 r1166786 = b;
        double r1166787 = atan2(r1166786, r1166786);
        double r1166788 = sqrt(r1166787);
        double r1166789 = a;
        double r1166790 = r1166786 - r1166789;
        double r1166791 = pow(r1166788, r1166790);
        double r1166792 = sin(r1166791);
        return r1166792;
}
↓
double f(double a, double b) {
        double r1166793 = b;
        double r1166794 = atan2(r1166793, r1166793);
        double r1166795 = sqrt(r1166794);
        double r1166796 = a;
        double r1166797 = r1166793 - r1166796;
        double r1166798 = pow(r1166795, r1166797);
        double r1166799 = sin(r1166798);
        return r1166799;
}

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 003"
  (sin (pow (sqrt (atan2 b b)) (- b a))))