Average Error: 0.1 → 0.1
Time: 13.9s
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 r792468 = b;
        double r792469 = atan2(r792468, r792468);
        double r792470 = sqrt(r792469);
        double r792471 = a;
        double r792472 = r792468 - r792471;
        double r792473 = pow(r792470, r792472);
        double r792474 = sin(r792473);
        return r792474;
}
↓
double f(double a, double b) {
        double r792475 = b;
        double r792476 = atan2(r792475, r792475);
        double r792477 = sqrt(r792476);
        double r792478 = a;
        double r792479 = r792475 - r792478;
        double r792480 = pow(r792477, r792479);
        double r792481 = sin(r792480);
        return r792481;
}

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 015"
  (sin (pow (sqrt (atan2 b b)) (- b a))))