Average Error: 0.1 → 0.1
Time: 16.8s
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 r896720 = b;
        double r896721 = atan2(r896720, r896720);
        double r896722 = sqrt(r896721);
        double r896723 = a;
        double r896724 = r896720 - r896723;
        double r896725 = pow(r896722, r896724);
        double r896726 = sin(r896725);
        return r896726;
}
↓
double f(double a, double b) {
        double r896727 = b;
        double r896728 = atan2(r896727, r896727);
        double r896729 = sqrt(r896728);
        double r896730 = a;
        double r896731 = r896727 - r896730;
        double r896732 = pow(r896729, r896731);
        double r896733 = sin(r896732);
        return r896733;
}

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 2019170 
(FPCore (a b)
  :name "Random Jason Timeout Test 015"
  (sin (pow (sqrt (atan2 b b)) (- b a))))