Average Error: 0.1 → 0.1
Time: 25.0s
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 r18945 = b;
        double r18946 = atan2(r18945, r18945);
        double r18947 = sqrt(r18946);
        double r18948 = a;
        double r18949 = r18945 - r18948;
        double r18950 = pow(r18947, r18949);
        double r18951 = sin(r18950);
        return r18951;
}
↓
double f(double a, double b) {
        double r18952 = b;
        double r18953 = atan2(r18952, r18952);
        double r18954 = sqrt(r18953);
        double r18955 = a;
        double r18956 = r18952 - r18955;
        double r18957 = pow(r18954, r18956);
        double r18958 = sin(r18957);
        return r18958;
}

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 2019212 +o rules:numerics
(FPCore (a b)
  :name "Random Jason Timeout Test 003"
  :precision binary64
  (sin (pow (sqrt (atan2 b b)) (- b a))))