Average Error: 0.1 → 0.1
Time: 23.7s
Precision: 64
\[\sin \left({\left(\sqrt{\tan^{-1}_* \frac{b}{b}}\right)}^{\left(b - a\right)}\right)\]
↓
\[\sin \left({\left(\sqrt{\tan^{-1}_* \frac{b}{b}}\right)}^{\left(\frac{b - a}{2}\right)} \cdot {\left(\sqrt{\tan^{-1}_* \frac{b}{b}}\right)}^{\left(\frac{b - a}{2}\right)}\right)\]
\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(\frac{b - a}{2}\right)} \cdot {\left(\sqrt{\tan^{-1}_* \frac{b}{b}}\right)}^{\left(\frac{b - a}{2}\right)}\right)
double f(double a, double b) {
        double r16384 = b;
        double r16385 = atan2(r16384, r16384);
        double r16386 = sqrt(r16385);
        double r16387 = a;
        double r16388 = r16384 - r16387;
        double r16389 = pow(r16386, r16388);
        double r16390 = sin(r16389);
        return r16390;
}
↓
double f(double a, double b) {
        double r16391 = b;
        double r16392 = atan2(r16391, r16391);
        double r16393 = sqrt(r16392);
        double r16394 = a;
        double r16395 = r16391 - r16394;
        double r16396 = 2.0;
        double r16397 = r16395 / r16396;
        double r16398 = pow(r16393, r16397);
        double r16399 = r16398 * r16398;
        double r16400 = sin(r16399);
        return r16400;
}

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. Using strategy rm

  3. Applied sqr-pow0.1

    \[\leadsto \sin \color{blue}{\left({\left(\sqrt{\tan^{-1}_* \frac{b}{b}}\right)}^{\left(\frac{b - a}{2}\right)} \cdot {\left(\sqrt{\tan^{-1}_* \frac{b}{b}}\right)}^{\left(\frac{b - a}{2}\right)}\right)}\]

  4. Final simplification0.1

    \[\leadsto \sin \left({\left(\sqrt{\tan^{-1}_* \frac{b}{b}}\right)}^{\left(\frac{b - a}{2}\right)} \cdot {\left(\sqrt{\tan^{-1}_* \frac{b}{b}}\right)}^{\left(\frac{b - a}{2}\right)}\right)\]

Reproduce

herbie shell --seed 2019198 
(FPCore (a b)
  :name "Random Jason Timeout Test 015"
  (sin (pow (sqrt (atan2 b b)) (- b a))))