Average Error: 0.1 → 0.1
Time: 12.3s
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 r198878 = b;
        double r198879 = atan2(r198878, r198878);
        double r198880 = sqrt(r198879);
        double r198881 = a;
        double r198882 = r198878 - r198881;
        double r198883 = pow(r198880, r198882);
        double r198884 = sin(r198883);
        return r198884;
}
↓
double f(double a, double b) {
        double r198885 = b;
        double r198886 = atan2(r198885, r198885);
        double r198887 = sqrt(r198886);
        double r198888 = a;
        double r198889 = r198885 - r198888;
        double r198890 = pow(r198887, r198889);
        double r198891 = sin(r198890);
        return r198891;
}

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 2019155 +o rules:numerics
(FPCore (a b)
  :name "Random Jason Timeout Test 015"
  (sin (pow (sqrt (atan2 b b)) (- b a))))