Average Error: 0.1 → 0.1
Time: 2.7s
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 r14366 = b;
        double r14367 = atan2(r14366, r14366);
        double r14368 = sqrt(r14367);
        double r14369 = a;
        double r14370 = r14366 - r14369;
        double r14371 = pow(r14368, r14370);
        double r14372 = sin(r14371);
        return r14372;
}
↓
double f(double a, double b) {
        double r14373 = b;
        double r14374 = atan2(r14373, r14373);
        double r14375 = sqrt(r14374);
        double r14376 = a;
        double r14377 = r14373 - r14376;
        double r14378 = pow(r14375, r14377);
        double r14379 = sin(r14378);
        return r14379;
}

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 2020057 
(FPCore (a b)
  :name "Random Jason Timeout Test 003"
  :precision binary64
  (sin (pow (sqrt (atan2 b b)) (- b a))))