Average Error: 0.1 → 0.1
Time: 11.1s
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 r389688 = b;
        double r389689 = atan2(r389688, r389688);
        double r389690 = sqrt(r389689);
        double r389691 = a;
        double r389692 = r389688 - r389691;
        double r389693 = pow(r389690, r389692);
        double r389694 = sin(r389693);
        return r389694;
}
↓
double f(double a, double b) {
        double r389695 = b;
        double r389696 = atan2(r389695, r389695);
        double r389697 = sqrt(r389696);
        double r389698 = a;
        double r389699 = r389695 - r389698;
        double r389700 = pow(r389697, r389699);
        double r389701 = sin(r389700);
        return r389701;
}

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 2019155 +o rules:numerics
(FPCore (a b)
  :name "Random Jason Timeout Test 003"
  (sin (pow (sqrt (atan2 b b)) (- b a))))