Average Error: 0.2 → 0.2
Time: 12.2s
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 r27448 = b;
        double r27449 = atan2(r27448, r27448);
        double r27450 = sqrt(r27449);
        double r27451 = a;
        double r27452 = r27448 - r27451;
        double r27453 = pow(r27450, r27452);
        double r27454 = sin(r27453);
        return r27454;
}
↓
double f(double a, double b) {
        double r27455 = b;
        double r27456 = atan2(r27455, r27455);
        double r27457 = sqrt(r27456);
        double r27458 = a;
        double r27459 = r27455 - r27458;
        double r27460 = pow(r27457, r27459);
        double r27461 = sin(r27460);
        return r27461;
}

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 0.2

    \[\sin \left({\left(\sqrt{\tan^{-1}_* \frac{b}{b}}\right)}^{\left(b - a\right)}\right)\]

  2. Final simplification0.2

    \[\leadsto \sin \left({\left(\sqrt{\tan^{-1}_* \frac{b}{b}}\right)}^{\left(b - a\right)}\right)\]

Reproduce

herbie shell --seed 2020046 
(FPCore (a b)
  :name "Random Jason Timeout Test 003"
  :precision binary64
  (sin (pow (sqrt (atan2 b b)) (- b a))))