Average Error: 0.1 → 0.1
Time: 3.0s
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 r14327 = b;
        double r14328 = atan2(r14327, r14327);
        double r14329 = sqrt(r14328);
        double r14330 = a;
        double r14331 = r14327 - r14330;
        double r14332 = pow(r14329, r14331);
        double r14333 = sin(r14332);
        return r14333;
}
↓
double f(double a, double b) {
        double r14334 = b;
        double r14335 = atan2(r14334, r14334);
        double r14336 = sqrt(r14335);
        double r14337 = a;
        double r14338 = r14334 - r14337;
        double r14339 = pow(r14336, r14338);
        double r14340 = sin(r14339);
        return r14340;
}

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 2020083 +o rules:numerics
(FPCore (a b)
  :name "Random Jason Timeout Test 003"
  :precision binary64
  (sin (pow (sqrt (atan2 b b)) (- b a))))