Average Error: 0.3 → 0.3
Time: 2.8s
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 r143067 = a;
        double r143068 = acos(r143067);
        double r143069 = -r143068;
        double r143070 = r143067 / r143069;
        return r143070;
}
↓
double f(double a) {
        double r143071 = a;
        double r143072 = acos(r143071);
        double r143073 = -r143072;
        double r143074 = r143071 / r143073;
        return r143074;
}

Error

Bits error versus a

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.3

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

  2. Final simplification0.3

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

Reproduce

herbie shell --seed 2020089 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 001"
  :precision binary64
  (/ a (- (acos a))))