Average Error: 0.1 → 0.1
Time: 24.7s
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 r17176 = b;
        double r17177 = atan2(r17176, r17176);
        double r17178 = sqrt(r17177);
        double r17179 = a;
        double r17180 = r17176 - r17179;
        double r17181 = pow(r17178, r17180);
        double r17182 = sin(r17181);
        return r17182;
}
↓
double f(double a, double b) {
        double r17183 = b;
        double r17184 = atan2(r17183, r17183);
        double r17185 = sqrt(r17184);
        double r17186 = a;
        double r17187 = r17183 - r17186;
        double r17188 = pow(r17185, r17187);
        double r17189 = sin(r17188);
        return r17189;
}

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 2019212 +o rules:numerics
(FPCore (a b)
  :name "Random Jason Timeout Test 015"
  :precision binary64
  (sin (pow (sqrt (atan2 b b)) (- b a))))