Average Error: 0.1 → 0.1
Time: 12.0s
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 r9506 = b;
        double r9507 = atan2(r9506, r9506);
        double r9508 = sqrt(r9507);
        double r9509 = a;
        double r9510 = r9506 - r9509;
        double r9511 = pow(r9508, r9510);
        double r9512 = sin(r9511);
        return r9512;
}
↓
double f(double a, double b) {
        double r9513 = b;
        double r9514 = atan2(r9513, r9513);
        double r9515 = sqrt(r9514);
        double r9516 = a;
        double r9517 = r9513 - r9516;
        double r9518 = pow(r9515, r9517);
        double r9519 = sin(r9518);
        return r9519;
}

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