Average Error: 0.2 → 0.3
Time: 16.1s
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 r4630619 = a;
        double r4630620 = acos(r4630619);
        double r4630621 = -r4630620;
        double r4630622 = r4630619 / r4630621;
        return r4630622;
}
↓
double f(double a) {
        double r4630623 = 1.0;
        double r4630624 = a;
        double r4630625 = acos(r4630624);
        double r4630626 = -r4630625;
        double r4630627 = r4630626 / r4630624;
        double r4630628 = r4630623 / r4630627;
        return r4630628;
}

Error

Bits error versus a

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.2

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

  3. Applied clear-num0.3

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

  4. Final simplification0.3

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

Reproduce

herbie shell --seed 2019158 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 001"
  (/ a (- (acos a))))