Average Error: 34.1 → 34.1
Time: 14.2s
Precision: 64
\[\left(\left(\cosh c\right) \bmod \left(\mathsf{log1p}\left(a\right)\right)\right)\]
↓
\[e^{\log \left(\left(e^{\left(\sqrt[3]{\log \left(\cosh c\right)} \cdot \sqrt[3]{\log \left(\cosh c\right)}\right) \cdot \sqrt[3]{\log \left(\cosh c\right)}}\right) \bmod \left(\mathsf{log1p}\left(a\right)\right)\right)}\]
\left(\left(\cosh c\right) \bmod \left(\mathsf{log1p}\left(a\right)\right)\right)
↓
e^{\log \left(\left(e^{\left(\sqrt[3]{\log \left(\cosh c\right)} \cdot \sqrt[3]{\log \left(\cosh c\right)}\right) \cdot \sqrt[3]{\log \left(\cosh c\right)}}\right) \bmod \left(\mathsf{log1p}\left(a\right)\right)\right)}
double code(double a, double c) {
	return fmod(cosh(c), log1p(a));
}
↓
double code(double a, double c) {
	return exp(log(fmod(exp(((cbrt(log(cosh(c))) * cbrt(log(cosh(c)))) * cbrt(log(cosh(c))))), log1p(a))));
}

Error

Bits error versus a

Bits error versus c

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 34.1

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

  3. Applied add-exp-log34.1

    \[\leadsto \left(\color{blue}{\left(e^{\log \left(\cosh c\right)}\right)} \bmod \left(\mathsf{log1p}\left(a\right)\right)\right)\]
  4. Using strategy rm

  5. Applied add-cube-cbrt34.1

    \[\leadsto \left(\left(e^{\color{blue}{\left(\sqrt[3]{\log \left(\cosh c\right)} \cdot \sqrt[3]{\log \left(\cosh c\right)}\right) \cdot \sqrt[3]{\log \left(\cosh c\right)}}}\right) \bmod \left(\mathsf{log1p}\left(a\right)\right)\right)\]
  6. Using strategy rm

  7. Applied add-exp-log34.1

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

  8. Final simplification34.1

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

Reproduce

herbie shell --seed 2020058 
(FPCore (a c)
  :name "Random Jason Timeout Test 004"
  :precision binary64
  (fmod (cosh c) (log1p a)))