Average Error: 0.1 → 0.1
Time: 11.9s
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 r8794 = b;
        double r8795 = atan2(r8794, r8794);
        double r8796 = sqrt(r8795);
        double r8797 = a;
        double r8798 = r8794 - r8797;
        double r8799 = pow(r8796, r8798);
        double r8800 = sin(r8799);
        return r8800;
}
↓
double f(double a, double b) {
        double r8801 = b;
        double r8802 = atan2(r8801, r8801);
        double r8803 = sqrt(r8802);
        double r8804 = a;
        double r8805 = r8801 - r8804;
        double r8806 = pow(r8803, r8805);
        double r8807 = sin(r8806);
        return r8807;
}

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 015"
  :precision binary64
  (sin (pow (sqrt (atan2 b b)) (- b a))))