Average Error: 0.1 → 0.1
Time: 13.6s
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 r1577034 = b;
        double r1577035 = atan2(r1577034, r1577034);
        double r1577036 = sqrt(r1577035);
        double r1577037 = a;
        double r1577038 = r1577034 - r1577037;
        double r1577039 = pow(r1577036, r1577038);
        double r1577040 = sin(r1577039);
        return r1577040;
}
↓
double f(double a, double b) {
        double r1577041 = b;
        double r1577042 = atan2(r1577041, r1577041);
        double r1577043 = sqrt(r1577042);
        double r1577044 = a;
        double r1577045 = r1577041 - r1577044;
        double r1577046 = pow(r1577043, r1577045);
        double r1577047 = sin(r1577046);
        return r1577047;
}

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 2019170 +o rules:numerics
(FPCore (a b)
  :name "Random Jason Timeout Test 003"
  (sin (pow (sqrt (atan2 b b)) (- b a))))