Average Error: 0.1 → 0.1
Time: 12.8s
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 r587427 = b;
        double r587428 = atan2(r587427, r587427);
        double r587429 = sqrt(r587428);
        double r587430 = a;
        double r587431 = r587427 - r587430;
        double r587432 = pow(r587429, r587431);
        double r587433 = sin(r587432);
        return r587433;
}
↓
double f(double a, double b) {
        double r587434 = b;
        double r587435 = atan2(r587434, r587434);
        double r587436 = sqrt(r587435);
        double r587437 = a;
        double r587438 = r587434 - r587437;
        double r587439 = pow(r587436, r587438);
        double r587440 = sin(r587439);
        return r587440;
}

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 015"
  (sin (pow (sqrt (atan2 b b)) (- b a))))