Average Error: 0.3 → 0.4
Time: 11.8s
Precision: 64
\[\frac{a}{-\cos^{-1} a}\]
↓
\[\frac{1}{\frac{-\cos^{-1} a}{a}}\]
\frac{a}{-\cos^{-1} a}
↓
\frac{1}{\frac{-\cos^{-1} a}{a}}
double f(double a) {
        double r2284306 = a;
        double r2284307 = acos(r2284306);
        double r2284308 = -r2284307;
        double r2284309 = r2284306 / r2284308;
        return r2284309;
}
↓
double f(double a) {
        double r2284310 = 1.0;
        double r2284311 = a;
        double r2284312 = acos(r2284311);
        double r2284313 = -r2284312;
        double r2284314 = r2284313 / r2284311;
        double r2284315 = r2284310 / r2284314;
        return r2284315;
}

Error

Bits error versus a

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Your Program's Arguments

Results

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Derivation

  1. Initial program 0.3

    \[\frac{a}{-\cos^{-1} a}\]
  2. Using strategy rm

  3. Applied *-un-lft-identity0.3

    \[\leadsto \frac{\color{blue}{1 \cdot a}}{-\cos^{-1} a}\]

  4. Applied associate-/l*0.4

    \[\leadsto \color{blue}{\frac{1}{\frac{-\cos^{-1} a}{a}}}\]

  5. Final simplification0.4

    \[\leadsto \frac{1}{\frac{-\cos^{-1} a}{a}}\]

Reproduce

herbie shell --seed 2019133 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 001"
  (/ a (- (acos a))))