Average Error: 0.1 → 0.1
Time: 37.4s
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 r16355 = b;
        double r16356 = atan2(r16355, r16355);
        double r16357 = sqrt(r16356);
        double r16358 = a;
        double r16359 = r16355 - r16358;
        double r16360 = pow(r16357, r16359);
        double r16361 = sin(r16360);
        return r16361;
}
↓
double f(double a, double b) {
        double r16362 = b;
        double r16363 = atan2(r16362, r16362);
        double r16364 = sqrt(r16363);
        double r16365 = a;
        double r16366 = r16362 - r16365;
        double r16367 = pow(r16364, r16366);
        double r16368 = sin(r16367);
        return r16368;
}

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 2019212 
(FPCore (a b)
  :name "Random Jason Timeout Test 015"
  :precision binary64
  (sin (pow (sqrt (atan2 b b)) (- b a))))