Average Error: 0.2 → 0.2
Time: 14.1s
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 r5863 = b;
        double r5864 = atan2(r5863, r5863);
        double r5865 = sqrt(r5864);
        double r5866 = a;
        double r5867 = r5863 - r5866;
        double r5868 = pow(r5865, r5867);
        double r5869 = sin(r5868);
        return r5869;
}
↓
double f(double a, double b) {
        double r5870 = b;
        double r5871 = atan2(r5870, r5870);
        double r5872 = sqrt(r5871);
        double r5873 = a;
        double r5874 = r5870 - r5873;
        double r5875 = pow(r5872, r5874);
        double r5876 = sin(r5875);
        return r5876;
}

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 0.2

    \[\sin \left({\left(\sqrt{\tan^{-1}_* \frac{b}{b}}\right)}^{\left(b - a\right)}\right)\]

  2. Final simplification0.2

    \[\leadsto \sin \left({\left(\sqrt{\tan^{-1}_* \frac{b}{b}}\right)}^{\left(b - a\right)}\right)\]

Reproduce

herbie shell --seed 2020046 
(FPCore (a b)
  :name "Random Jason Timeout Test 015"
  :precision binary64
  (sin (pow (sqrt (atan2 b b)) (- b a))))