Average Error: 0.1 → 0.1
Time: 11.6s
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 r1179184 = b;
        double r1179185 = atan2(r1179184, r1179184);
        double r1179186 = sqrt(r1179185);
        double r1179187 = a;
        double r1179188 = r1179184 - r1179187;
        double r1179189 = pow(r1179186, r1179188);
        double r1179190 = sin(r1179189);
        return r1179190;
}
↓
double f(double a, double b) {
        double r1179191 = b;
        double r1179192 = atan2(r1179191, r1179191);
        double r1179193 = sqrt(r1179192);
        double r1179194 = a;
        double r1179195 = r1179191 - r1179194;
        double r1179196 = pow(r1179193, r1179195);
        double r1179197 = sin(r1179196);
        return r1179197;
}

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 2019168 +o rules:numerics
(FPCore (a b)
  :name "Random Jason Timeout Test 003"
  (sin (pow (sqrt (atan2 b b)) (- b a))))