Average Error: 0.1 → 0.1
Time: 12.6s
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 r8756 = b;
        double r8757 = atan2(r8756, r8756);
        double r8758 = sqrt(r8757);
        double r8759 = a;
        double r8760 = r8756 - r8759;
        double r8761 = pow(r8758, r8760);
        double r8762 = sin(r8761);
        return r8762;
}
↓
double f(double a, double b) {
        double r8763 = b;
        double r8764 = atan2(r8763, r8763);
        double r8765 = sqrt(r8764);
        double r8766 = a;
        double r8767 = r8763 - r8766;
        double r8768 = pow(r8765, r8767);
        double r8769 = sin(r8768);
        return r8769;
}

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 2019323 
(FPCore (a b)
  :name "Random Jason Timeout Test 015"
  :precision binary64
  (sin (pow (sqrt (atan2 b b)) (- b a))))