Average Error: 0.1 → 0.1
Time: 2.6s
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 r6155 = b;
        double r6156 = atan2(r6155, r6155);
        double r6157 = sqrt(r6156);
        double r6158 = a;
        double r6159 = r6155 - r6158;
        double r6160 = pow(r6157, r6159);
        double r6161 = sin(r6160);
        return r6161;
}
↓
double f(double a, double b) {
        double r6162 = b;
        double r6163 = atan2(r6162, r6162);
        double r6164 = sqrt(r6163);
        double r6165 = a;
        double r6166 = r6162 - r6165;
        double r6167 = pow(r6164, r6166);
        double r6168 = sin(r6167);
        return r6168;
}

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 2020018 
(FPCore (a b)
  :name "Random Jason Timeout Test 003"
  :precision binary64
  (sin (pow (sqrt (atan2 b b)) (- b a))))