Average Error: 0.1 → 0.1
Time: 12.4s
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 r8786 = b;
        double r8787 = atan2(r8786, r8786);
        double r8788 = sqrt(r8787);
        double r8789 = a;
        double r8790 = r8786 - r8789;
        double r8791 = pow(r8788, r8790);
        double r8792 = sin(r8791);
        return r8792;
}
↓
double f(double a, double b) {
        double r8793 = b;
        double r8794 = atan2(r8793, r8793);
        double r8795 = sqrt(r8794);
        double r8796 = a;
        double r8797 = r8793 - r8796;
        double r8798 = pow(r8795, r8797);
        double r8799 = sin(r8798);
        return r8799;
}

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