Average Error: 0.1 → 0.1
Time: 16.7s
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 r1693188 = b;
        double r1693189 = atan2(r1693188, r1693188);
        double r1693190 = sqrt(r1693189);
        double r1693191 = a;
        double r1693192 = r1693188 - r1693191;
        double r1693193 = pow(r1693190, r1693192);
        double r1693194 = sin(r1693193);
        return r1693194;
}
↓
double f(double a, double b) {
        double r1693195 = b;
        double r1693196 = atan2(r1693195, r1693195);
        double r1693197 = sqrt(r1693196);
        double r1693198 = a;
        double r1693199 = r1693195 - r1693198;
        double r1693200 = pow(r1693197, r1693199);
        double r1693201 = sin(r1693200);
        return r1693201;
}

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 2019169 +o rules:numerics
(FPCore (a b)
  :name "Random Jason Timeout Test 003"
  (sin (pow (sqrt (atan2 b b)) (- b a))))