Average Error: 0.1 → 0.1
Time: 5.2s
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 r33172 = b;
        double r33173 = atan2(r33172, r33172);
        double r33174 = sqrt(r33173);
        double r33175 = a;
        double r33176 = r33172 - r33175;
        double r33177 = pow(r33174, r33176);
        double r33178 = sin(r33177);
        return r33178;
}
↓
double f(double a, double b) {
        double r33179 = b;
        double r33180 = atan2(r33179, r33179);
        double r33181 = sqrt(r33180);
        double r33182 = a;
        double r33183 = r33179 - r33182;
        double r33184 = pow(r33181, r33183);
        double r33185 = sin(r33184);
        return r33185;
}

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 2020025 
(FPCore (a b)
  :name "Random Jason Timeout Test 003"
  :precision binary64
  (sin (pow (sqrt (atan2 b b)) (- b a))))