Average Error: 0.1 → 0.1
Time: 20.8s
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 r1041723 = b;
        double r1041724 = atan2(r1041723, r1041723);
        double r1041725 = sqrt(r1041724);
        double r1041726 = a;
        double r1041727 = r1041723 - r1041726;
        double r1041728 = pow(r1041725, r1041727);
        double r1041729 = sin(r1041728);
        return r1041729;
}
↓
double f(double a, double b) {
        double r1041730 = b;
        double r1041731 = atan2(r1041730, r1041730);
        double r1041732 = sqrt(r1041731);
        double r1041733 = a;
        double r1041734 = r1041730 - r1041733;
        double r1041735 = pow(r1041732, r1041734);
        double r1041736 = sin(r1041735);
        return r1041736;
}

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 2019168 
(FPCore (a b)
  :name "Random Jason Timeout Test 003"
  (sin (pow (sqrt (atan2 b b)) (- b a))))