Average Error: 0.1 → 0.1
Time: 5.3s
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 r13856 = b;
        double r13857 = atan2(r13856, r13856);
        double r13858 = sqrt(r13857);
        double r13859 = a;
        double r13860 = r13856 - r13859;
        double r13861 = pow(r13858, r13860);
        double r13862 = sin(r13861);
        return r13862;
}
↓
double f(double a, double b) {
        double r13863 = b;
        double r13864 = atan2(r13863, r13863);
        double r13865 = sqrt(r13864);
        double r13866 = a;
        double r13867 = r13863 - r13866;
        double r13868 = pow(r13865, r13867);
        double r13869 = sin(r13868);
        return r13869;
}

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 2020025 +o rules:numerics
(FPCore (a b)
  :name "Random Jason Timeout Test 015"
  :precision binary64
  (sin (pow (sqrt (atan2 b b)) (- b a))))