Average Error: 0.1 → 0.1
Time: 16.2s
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 r1096823 = b;
        double r1096824 = atan2(r1096823, r1096823);
        double r1096825 = sqrt(r1096824);
        double r1096826 = a;
        double r1096827 = r1096823 - r1096826;
        double r1096828 = pow(r1096825, r1096827);
        double r1096829 = sin(r1096828);
        return r1096829;
}
↓
double f(double a, double b) {
        double r1096830 = b;
        double r1096831 = atan2(r1096830, r1096830);
        double r1096832 = sqrt(r1096831);
        double r1096833 = a;
        double r1096834 = r1096830 - r1096833;
        double r1096835 = pow(r1096832, r1096834);
        double r1096836 = sin(r1096835);
        return r1096836;
}

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 2019168 +o rules:numerics
(FPCore (a b)
  :name "Random Jason Timeout Test 003"
  (sin (pow (sqrt (atan2 b b)) (- b a))))