Average Error: 0.2 → 0.2
Time: 3.5s
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 r10585 = b;
        double r10586 = atan2(r10585, r10585);
        double r10587 = sqrt(r10586);
        double r10588 = a;
        double r10589 = r10585 - r10588;
        double r10590 = pow(r10587, r10589);
        double r10591 = sin(r10590);
        return r10591;
}
↓
double f(double a, double b) {
        double r10592 = b;
        double r10593 = atan2(r10592, r10592);
        double r10594 = sqrt(r10593);
        double r10595 = a;
        double r10596 = r10592 - r10595;
        double r10597 = pow(r10594, r10596);
        double r10598 = sin(r10597);
        return r10598;
}

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 0.2

    \[\sin \left({\left(\sqrt{\tan^{-1}_* \frac{b}{b}}\right)}^{\left(b - a\right)}\right)\]

  2. Final simplification0.2

    \[\leadsto \sin \left({\left(\sqrt{\tan^{-1}_* \frac{b}{b}}\right)}^{\left(b - a\right)}\right)\]

Reproduce

herbie shell --seed 2020100 
(FPCore (a b)
  :name "Random Jason Timeout Test 003"
  :precision binary64
  (sin (pow (sqrt (atan2 b b)) (- b a))))