Average Error: 0.1 → 0.1
Time: 27.1s
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 r9599 = b;
        double r9600 = atan2(r9599, r9599);
        double r9601 = sqrt(r9600);
        double r9602 = a;
        double r9603 = r9599 - r9602;
        double r9604 = pow(r9601, r9603);
        double r9605 = sin(r9604);
        return r9605;
}
↓
double f(double a, double b) {
        double r9606 = b;
        double r9607 = atan2(r9606, r9606);
        double r9608 = sqrt(r9607);
        double r9609 = a;
        double r9610 = r9606 - r9609;
        double r9611 = pow(r9608, r9610);
        double r9612 = sin(r9611);
        return r9612;
}

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 2019323 +o rules:numerics
(FPCore (a b)
  :name "Random Jason Timeout Test 015"
  :precision binary64
  (sin (pow (sqrt (atan2 b b)) (- b a))))