Random Jason Timeout Test 004

Average Error: 34.0 → 33.6

Time: 32.0s

Precision: 64

• could not determine a ground truth for program body

  1. a = -4.273686323627727e-248
  2. c = 1.9440266393072233e+190

Math

\[\left(\left(\cosh c\right) \bmod \left(\mathsf{log1p}\left(a\right)\right)\right)\]

↓

\[\left(\left(\cosh c\right) \bmod \left(\sqrt[3]{\mathsf{log1p}\left(a\right)} \cdot \left(\sqrt[3]{\mathsf{log1p}\left(a\right)} \cdot \sqrt[3]{\mathsf{log1p}\left(a\right)}\right)\right)\right)\]

C

double f(double a, double c) {
        double r56302 = c;
        double r56303 = cosh(r56302);
        double r56304 = a;
        double r56305 = log1p(r56304);
        double r56306 = fmod(r56303, r56305);
        return r56306;
}

↓

double f(double a, double c) {
        double r56307 = c;
        double r56308 = cosh(r56307);
        double r56309 = a;
        double r56310 = log1p(r56309);
        double r56311 = cbrt(r56310);
        double r56312 = r56311 * r56311;
        double r56313 = r56311 * r56312;
        double r56314 = fmod(r56308, r56313);
        return r56314;
}

Error

Bits error versus a

Bits error versus c

Derivation

1. Initial program 34.0

   \[\left(\left(\cosh c\right) \bmod \left(\mathsf{log1p}\left(a\right)\right)\right)\]
2. Using strategy rm

3. Applied add-cube-cbrt 33.6

   \[\leadsto \left(\left(\cosh c\right) \bmod \color{blue}{\left(\left(\sqrt[3]{\mathsf{log1p}\left(a\right)} \cdot \sqrt[3]{\mathsf{log1p}\left(a\right)}\right) \cdot \sqrt[3]{\mathsf{log1p}\left(a\right)}\right)}\right)\]

4. Final simplification 33.6

   \[\leadsto \left(\left(\cosh c\right) \bmod \left(\sqrt[3]{\mathsf{log1p}\left(a\right)} \cdot \left(\sqrt[3]{\mathsf{log1p}\left(a\right)} \cdot \sqrt[3]{\mathsf{log1p}\left(a\right)}\right)\right)\right)\]

Reproduce

herbie shell --seed 2019120 
(FPCore (a c)
  :name "Random Jason Timeout Test 004"
  (fmod (cosh c) (log1p a)))