Average Error: 0.1 → 0.1
Time: 13.5s
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 r1959178 = b;
        double r1959179 = atan2(r1959178, r1959178);
        double r1959180 = sqrt(r1959179);
        double r1959181 = a;
        double r1959182 = r1959178 - r1959181;
        double r1959183 = pow(r1959180, r1959182);
        double r1959184 = sin(r1959183);
        return r1959184;
}
↓
double f(double a, double b) {
        double r1959185 = b;
        double r1959186 = atan2(r1959185, r1959185);
        double r1959187 = sqrt(r1959186);
        double r1959188 = a;
        double r1959189 = r1959185 - r1959188;
        double r1959190 = pow(r1959187, r1959189);
        double r1959191 = sin(r1959190);
        return r1959191;
}

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 2019169 
(FPCore (a b)
  :name "Random Jason Timeout Test 003"
  (sin (pow (sqrt (atan2 b b)) (- b a))))