Average Error: 0.2 → 0.2
Time: 3.2s
Precision: 64
\[\frac{a}{-\cos^{-1} a}\]
↓
\[\frac{a}{-\cos^{-1} a}\]
\frac{a}{-\cos^{-1} a}
↓
\frac{a}{-\cos^{-1} a}
double f(double a) {
        double r136029 = a;
        double r136030 = acos(r136029);
        double r136031 = -r136030;
        double r136032 = r136029 / r136031;
        return r136032;
}
↓
double f(double a) {
        double r136033 = a;
        double r136034 = acos(r136033);
        double r136035 = -r136034;
        double r136036 = r136033 / r136035;
        return r136036;
}

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. Final simplification0.2

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

Reproduce

herbie shell --seed 2020027 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 001"
  :precision binary64
  (/ a (- (acos a))))