0.847 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 1.270 * * * [progress]: [2/2] Setting up program. 1.275 * [progress]: [Phase 2 of 3] Improving. 1.277 * [simplify]: Simplifying using # : (acos (pow (fmod (cosh a) (* a a)) (log1p a))) 1.283 * * [simplify]: iteration 0 : 16 enodes (cost 6 ) 1.284 * * [simplify]: iteration 1 : 24 enodes (cost 6 ) 1.286 * * [simplify]: iteration 2 : 43 enodes (cost 6 ) 1.288 * * [simplify]: iteration 3 : 91 enodes (cost 6 ) 1.290 * * [simplify]: iteration 4 : 257 enodes (cost 6 ) 1.296 * * [simplify]: iteration 5 : 1277 enodes (cost 6 ) 1.323 * * [simplify]: iteration 6 : 5001 enodes (cost 6 ) 1.324 * [simplify]: Simplified to: (acos (pow (fmod (cosh a) (* a a)) (log1p a))) 1.326 * * [progress]: iteration 1 / 4 1.326 * * * [progress]: picking best candidate 1.329 * * * * [pick]: Picked # 1.329 * * * [progress]: localizing error 1.341 * * * [progress]: generating rewritten candidates 1.341 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 1.342 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 1.344 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 1.348 * * * [progress]: generating series expansions 1.349 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 1.352 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.353 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.354 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.363 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.363 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.363 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.364 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.364 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.364 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.364 * * * * [progress]: [ 2 / 3 ] generating series at (2) 1.365 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in (a) around 0 1.365 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.365 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.365 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in (a) around 0 1.365 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.365 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.366 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in (a) around 0 1.366 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.366 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.367 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 1.367 * [approximate]: Taking taylor expansion of (pow (fmod (cosh a) (pow a 2)) (log1p a)) in (a) around 0 1.367 * [taylor]: Taking taylor expansion of (pow (fmod (cosh a) (pow a 2)) (log1p a)) in a 1.367 * [taylor]: Taking taylor expansion of (exp (* (log1p a) (log (fmod (cosh a) (pow a 2))))) in a 1.367 * [taylor]: Taking taylor expansion of (* (log1p a) (log (fmod (cosh a) (pow a 2)))) in a 1.367 * [taylor]: Taking taylor expansion of (log1p a) in a 1.367 * [taylor]: Taking taylor expansion of (log (fmod (cosh a) (pow a 2))) in a 1.367 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.368 * [taylor]: Taking taylor expansion of (pow (fmod (cosh a) (pow a 2)) (log1p a)) in a 1.368 * [taylor]: Taking taylor expansion of (exp (* (log1p a) (log (fmod (cosh a) (pow a 2))))) in a 1.368 * [taylor]: Taking taylor expansion of (* (log1p a) (log (fmod (cosh a) (pow a 2)))) in a 1.368 * [taylor]: Taking taylor expansion of (log1p a) in a 1.368 * [taylor]: Taking taylor expansion of (log (fmod (cosh a) (pow a 2))) in a 1.368 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.403 * [approximate]: Taking taylor expansion of (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))) in (a) around 0 1.403 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))) in a 1.403 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ 1 a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))))) in a 1.403 * [taylor]: Taking taylor expansion of (* (log1p (/ 1 a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))))) in a 1.403 * [taylor]: Taking taylor expansion of (log1p (/ 1 a)) in a 1.403 * [taylor]: Taking taylor expansion of (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) in a 1.403 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.404 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))) in a 1.404 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ 1 a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))))) in a 1.404 * [taylor]: Taking taylor expansion of (* (log1p (/ 1 a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))))) in a 1.404 * [taylor]: Taking taylor expansion of (log1p (/ 1 a)) in a 1.404 * [taylor]: Taking taylor expansion of (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) in a 1.404 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.438 * [approximate]: Taking taylor expansion of (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))) in (a) around 0 1.438 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))) in a 1.438 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ -1 a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))))) in a 1.438 * [taylor]: Taking taylor expansion of (* (log1p (/ -1 a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))))) in a 1.438 * [taylor]: Taking taylor expansion of (log1p (/ -1 a)) in a 1.438 * [taylor]: Taking taylor expansion of (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))) in a 1.438 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.439 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))) in a 1.439 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ -1 a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))))) in a 1.439 * [taylor]: Taking taylor expansion of (* (log1p (/ -1 a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))))) in a 1.439 * [taylor]: Taking taylor expansion of (log1p (/ -1 a)) in a 1.439 * [taylor]: Taking taylor expansion of (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))) in a 1.439 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.477 * * * [progress]: simplifying candidates 1.478 * [simplify]: Simplifying using # : (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (* (* (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a))) (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (/ PI 2) (asin (pow (fmod (cosh a) (* a a)) (log1p a))) (log (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (* (cbrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (cbrt (acos (pow (fmod (cosh a) (* a a)) (log1p a))))) (cbrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (* (* (acos (pow (fmod (cosh a) (* a a)) (log1p a))) (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (sqrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (sqrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (* (log (fmod (cosh a) (* a a))) (log1p a)) (* (log (fmod (cosh a) (* a a))) (log1p a)) (* 1 (log1p a)) (pow (fmod (cosh a) (* a a)) (* (cbrt (log1p a)) (cbrt (log1p a)))) (pow (fmod (cosh a) (* a a)) (sqrt (log1p a))) (pow (fmod (cosh a) (* a a)) 1) (pow (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (log1p a)) (pow (cbrt (fmod (cosh a) (* a a))) (log1p a)) (pow (sqrt (fmod (cosh a) (* a a))) (log1p a)) (pow (sqrt (fmod (cosh a) (* a a))) (log1p a)) (pow 1 (log1p a)) (pow (fmod (cosh a) (* a a)) (log1p a)) (log (pow (fmod (cosh a) (* a a)) (log1p a))) (exp (pow (fmod (cosh a) (* a a)) (log1p a))) (* (cbrt (pow (fmod (cosh a) (* a a)) (log1p a))) (cbrt (pow (fmod (cosh a) (* a a)) (log1p a)))) (cbrt (pow (fmod (cosh a) (* a a)) (log1p a))) (* (* (pow (fmod (cosh a) (* a a)) (log1p a)) (pow (fmod (cosh a) (* a a)) (log1p a))) (pow (fmod (cosh a) (* a a)) (log1p a))) (sqrt (pow (fmod (cosh a) (* a a)) (log1p a))) (sqrt (pow (fmod (cosh a) (* a a)) (log1p a))) (pow (fmod (cosh a) (* a a)) (/ (log1p a) 2)) (pow (fmod (cosh a) (* a a)) (/ (log1p a) 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (pow (fmod (cosh a) (pow a 2)) (log1p a)) (pow (fmod (cosh a) (pow a 2)) (log1p a)) (pow (fmod (cosh a) (pow a 2)) (log1p a)) 1.481 * * [simplify]: iteration 0 : 91 enodes (cost 291 ) 1.483 * * [simplify]: iteration 1 : 249 enodes (cost 265 ) 1.487 * * [simplify]: iteration 2 : 805 enodes (cost 265 ) 1.507 * * [simplify]: iteration 3 : 3873 enodes (cost 265 ) 1.609 * * [simplify]: iteration 4 : 5001 enodes (cost 265 ) 1.612 * [simplify]: Simplified to: (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (pow (fmod (cosh a) (* a a)) 3) (pow (fmod (cosh a) (* a a)) 1/2) (pow (fmod (cosh a) (* a a)) 1/2) (/ PI 2) (asin (pow (fmod (cosh a) (* a a)) (log1p a))) (log (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (* (cbrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (cbrt (acos (pow (fmod (cosh a) (* a a)) (log1p a))))) (cbrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (pow (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) 3) (sqrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (sqrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (log (pow (fmod (cosh a) (* a a)) (log1p a))) (log (pow (fmod (cosh a) (* a a)) (log1p a))) (log1p a) (pow (fmod (cosh a) (* a a)) (* (cbrt (log1p a)) (cbrt (log1p a)))) (pow (fmod (cosh a) (* a a)) (sqrt (log1p a))) (fmod (cosh a) (* a a)) (pow (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (log1p a)) (pow (cbrt (fmod (cosh a) (* a a))) (log1p a)) (pow (sqrt (fmod (cosh a) (* a a))) (log1p a)) (pow (sqrt (fmod (cosh a) (* a a))) (log1p a)) 1 (pow (fmod (cosh a) (pow a 2)) (log1p a)) (log (pow (fmod (cosh a) (* a a)) (log1p a))) (exp (pow (fmod (cosh a) (* a a)) (log1p a))) (* (cbrt (pow (fmod (cosh a) (* a a)) (log1p a))) (cbrt (pow (fmod (cosh a) (* a a)) (log1p a)))) (cbrt (pow (fmod (cosh a) (* a a)) (log1p a))) (pow (pow (fmod (cosh a) (pow a 2)) (log1p a)) 3) (sqrt (pow (fmod (cosh a) (* a a)) (log1p a))) (sqrt (pow (fmod (cosh a) (* a a)) (log1p a))) (pow (fmod (cosh a) (* a a)) (/ (log1p a) 2)) (pow (fmod (cosh a) (* a a)) (/ (log1p a) 2)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (pow (fmod (cosh a) (pow a 2)) (log1p a)) (pow (fmod (cosh a) (pow a 2)) (log1p a)) (pow (fmod (cosh a) (pow a 2)) (log1p a)) 1.613 * * * [progress]: adding candidates to table 1.713 * * [progress]: iteration 2 / 4 1.713 * * * [progress]: picking best candidate 1.733 * * * * [pick]: Picked # 1.733 * * * [progress]: localizing error 1.746 * * * [progress]: generating rewritten candidates 1.746 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 1) 1.747 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 1.749 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.750 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.754 * * * [progress]: generating series expansions 1.754 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 1) 1.754 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.754 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.754 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.755 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.755 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.755 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.755 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.755 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.756 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.756 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 1.756 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.756 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.756 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.757 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.757 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.757 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.757 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.757 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.757 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.758 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.758 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in (a) around 0 1.758 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.758 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.759 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in (a) around 0 1.759 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.759 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.760 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in (a) around 0 1.760 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.760 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.761 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.761 * [approximate]: Taking taylor expansion of (pow (fmod (cosh a) (pow a 2)) (log1p a)) in (a) around 0 1.761 * [taylor]: Taking taylor expansion of (pow (fmod (cosh a) (pow a 2)) (log1p a)) in a 1.761 * [taylor]: Taking taylor expansion of (exp (* (log1p a) (log (fmod (cosh a) (pow a 2))))) in a 1.761 * [taylor]: Taking taylor expansion of (* (log1p a) (log (fmod (cosh a) (pow a 2)))) in a 1.761 * [taylor]: Taking taylor expansion of (log1p a) in a 1.761 * [taylor]: Taking taylor expansion of (log (fmod (cosh a) (pow a 2))) in a 1.761 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.762 * [taylor]: Taking taylor expansion of (pow (fmod (cosh a) (pow a 2)) (log1p a)) in a 1.762 * [taylor]: Taking taylor expansion of (exp (* (log1p a) (log (fmod (cosh a) (pow a 2))))) in a 1.762 * [taylor]: Taking taylor expansion of (* (log1p a) (log (fmod (cosh a) (pow a 2)))) in a 1.762 * [taylor]: Taking taylor expansion of (log1p a) in a 1.762 * [taylor]: Taking taylor expansion of (log (fmod (cosh a) (pow a 2))) in a 1.762 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.794 * [approximate]: Taking taylor expansion of (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))) in (a) around 0 1.794 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))) in a 1.794 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ 1 a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))))) in a 1.794 * [taylor]: Taking taylor expansion of (* (log1p (/ 1 a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))))) in a 1.794 * [taylor]: Taking taylor expansion of (log1p (/ 1 a)) in a 1.794 * [taylor]: Taking taylor expansion of (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) in a 1.794 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.794 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))) in a 1.794 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ 1 a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))))) in a 1.794 * [taylor]: Taking taylor expansion of (* (log1p (/ 1 a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))))) in a 1.794 * [taylor]: Taking taylor expansion of (log1p (/ 1 a)) in a 1.794 * [taylor]: Taking taylor expansion of (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) in a 1.794 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.831 * [approximate]: Taking taylor expansion of (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))) in (a) around 0 1.831 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))) in a 1.831 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ -1 a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))))) in a 1.831 * [taylor]: Taking taylor expansion of (* (log1p (/ -1 a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))))) in a 1.832 * [taylor]: Taking taylor expansion of (log1p (/ -1 a)) in a 1.832 * [taylor]: Taking taylor expansion of (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))) in a 1.832 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.832 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))) in a 1.832 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ -1 a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))))) in a 1.832 * [taylor]: Taking taylor expansion of (* (log1p (/ -1 a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))))) in a 1.832 * [taylor]: Taking taylor expansion of (log1p (/ -1 a)) in a 1.832 * [taylor]: Taking taylor expansion of (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))) in a 1.832 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.866 * * * [progress]: simplifying candidates 1.867 * [simplify]: Simplifying using # : (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (* (* (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a))) (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (log (* (cbrt (exp (fmod (cosh a) (* a a)))) (cbrt (exp (fmod (cosh a) (* a a)))))) (log (cbrt (exp (fmod (cosh a) (* a a))))) (log (sqrt (exp (fmod (cosh a) (* a a))))) (log (sqrt (exp (fmod (cosh a) (* a a))))) (log 1) (log (exp (fmod (cosh a) (* a a)))) (log (exp (fmod (cosh a) (* a a)))) (log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))))) (log (exp (sqrt (fmod (cosh a) (* a a))))) (log (exp 1)) (log (log (exp (fmod (cosh a) (* a a))))) (exp (log (exp (fmod (cosh a) (* a a))))) (* (cbrt (log (exp (fmod (cosh a) (* a a))))) (cbrt (log (exp (fmod (cosh a) (* a a)))))) (cbrt (log (exp (fmod (cosh a) (* a a))))) (* (* (log (exp (fmod (cosh a) (* a a)))) (log (exp (fmod (cosh a) (* a a))))) (log (exp (fmod (cosh a) (* a a))))) (sqrt (log (exp (fmod (cosh a) (* a a))))) (sqrt (log (exp (fmod (cosh a) (* a a))))) (/ PI 2) (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (exp (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (* (cbrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (cbrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (cbrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (* (* (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (sqrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (sqrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (* (log (log (exp (fmod (cosh a) (* a a))))) (log1p a)) (* (log (log (exp (fmod (cosh a) (* a a))))) (log1p a)) (* 1 (log1p a)) (pow (log (exp (fmod (cosh a) (* a a)))) (* (cbrt (log1p a)) (cbrt (log1p a)))) (pow (log (exp (fmod (cosh a) (* a a)))) (sqrt (log1p a))) (pow (log (exp (fmod (cosh a) (* a a)))) 1) (pow 1 (log1p a)) (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)) (pow (cbrt (fmod (cosh a) (* a a))) (log1p a)) (pow (log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))))) (log1p a)) (pow (sqrt (fmod (cosh a) (* a a))) (log1p a)) (pow (log (exp (sqrt (fmod (cosh a) (* a a))))) (log1p a)) (pow (fmod (cosh a) (* a a)) (log1p a)) (pow (log (exp 1)) (log1p a)) (pow (* (cbrt (log (exp (fmod (cosh a) (* a a))))) (cbrt (log (exp (fmod (cosh a) (* a a)))))) (log1p a)) (pow (cbrt (log (exp (fmod (cosh a) (* a a))))) (log1p a)) (pow (sqrt (log (exp (fmod (cosh a) (* a a))))) (log1p a)) (pow (sqrt (log (exp (fmod (cosh a) (* a a))))) (log1p a)) (pow 1 (log1p a)) (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)) (log (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (exp (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (* (cbrt (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (cbrt (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (cbrt (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (* (* (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)) (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (sqrt (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (sqrt (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (pow (log (exp (fmod (cosh a) (* a a)))) (/ (log1p a) 2)) (pow (log (exp (fmod (cosh a) (* a a)))) (/ (log1p a) 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (pow (fmod (cosh a) (pow a 2)) (log1p a)) (pow (fmod (cosh a) (pow a 2)) (log1p a)) (pow (fmod (cosh a) (pow a 2)) (log1p a)) 1.871 * * [simplify]: iteration 0 : 135 enodes (cost 479 ) 1.873 * * [simplify]: iteration 1 : 312 enodes (cost 424 ) 1.878 * * [simplify]: iteration 2 : 956 enodes (cost 424 ) 1.901 * * [simplify]: iteration 3 : 4680 enodes (cost 420 ) 2.055 * * [simplify]: iteration 4 : 5001 enodes (cost 420 ) 2.058 * [simplify]: Simplified to: (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (pow (fmod (cosh a) (* a a)) 3) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (* 2 (log (cbrt (exp (fmod (cosh a) (* a a)))))) (log (cbrt (exp (fmod (cosh a) (* a a))))) (log (sqrt (exp (fmod (cosh a) (* a a))))) (log (sqrt (exp (fmod (cosh a) (* a a))))) 0 (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (sqrt (fmod (cosh a) (* a a))) 1 (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (pow (fmod (cosh a) (* a a)) 3) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (/ PI 2) (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (exp (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (* (cbrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (cbrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (cbrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (pow (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) 3) (sqrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (sqrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (* (log1p a) (log (fmod (cosh a) (* a a)))) (* (log1p a) (log (fmod (cosh a) (* a a)))) (log1p a) (pow (log (exp (fmod (cosh a) (* a a)))) (* (cbrt (log1p a)) (cbrt (log1p a)))) (pow (log (exp (fmod (cosh a) (* a a)))) (sqrt (log1p a))) (fmod (cosh a) (* a a)) 1 (pow (fmod (cosh a) (* a a)) (log1p a)) (pow (cbrt (fmod (cosh a) (* a a))) (log1p a)) (pow (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (log1p a)) (pow (sqrt (fmod (cosh a) (* a a))) (log1p a)) (pow (sqrt (fmod (cosh a) (* a a))) (log1p a)) (pow (fmod (cosh a) (* a a)) (log1p a)) 1 (pow (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (log1p a)) (pow (cbrt (fmod (cosh a) (* a a))) (log1p a)) (pow (sqrt (fmod (cosh a) (* a a))) (log1p a)) (pow (sqrt (fmod (cosh a) (* a a))) (log1p a)) 1 (pow (fmod (cosh a) (* a a)) (log1p a)) (* (log1p a) (log (fmod (cosh a) (* a a)))) (exp (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (* (cbrt (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (cbrt (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (cbrt (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (pow (pow (fmod (cosh a) (* a a)) (log1p a)) 3) (fabs (pow (fmod (cosh a) (* a a)) (/ (log1p a) 2))) (fabs (pow (fmod (cosh a) (* a a)) (/ (log1p a) 2))) (pow (fmod (cosh a) (* a a)) (/ (log1p a) 2)) (pow (fmod (cosh a) (* a a)) (/ (log1p a) 2)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (pow (fmod (cosh a) (* a a)) (log1p a)) (pow (fmod (cosh a) (* a a)) (log1p a)) (pow (fmod (cosh a) (* a a)) (log1p a)) 2.058 * * * [progress]: adding candidates to table 2.210 * * [progress]: iteration 3 / 4 2.210 * * * [progress]: picking best candidate 2.242 * * * * [pick]: Picked # 2.242 * * * [progress]: localizing error 2.258 * * * [progress]: generating rewritten candidates 2.258 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 1 1 1) 2.259 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1) 2.261 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 2.262 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.265 * * * [progress]: generating series expansions 2.265 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 1 1 1) 2.265 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 2.265 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.265 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.266 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 2.266 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.266 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.266 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 2.266 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.266 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.267 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1) 2.267 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 2.267 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.267 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.268 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 2.268 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.268 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.268 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 2.268 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.268 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.269 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 2.269 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in (a) around 0 2.269 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 2.269 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 2.270 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in (a) around 0 2.270 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 2.270 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 2.271 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in (a) around 0 2.271 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 2.271 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 2.272 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.272 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in (a) around 0 2.272 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 2.272 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 2.273 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in (a) around 0 2.273 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 2.273 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 2.274 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in (a) around 0 2.274 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 2.274 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 2.275 * * * [progress]: simplifying candidates 2.275 * [simplify]: Simplifying using # : (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (* (* (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a))) (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (log (* (cbrt (exp (fmod (cosh a) (* a a)))) (cbrt (exp (fmod (cosh a) (* a a)))))) (log (cbrt (exp (fmod (cosh a) (* a a))))) (log (sqrt (exp (fmod (cosh a) (* a a))))) (log (sqrt (exp (fmod (cosh a) (* a a))))) (log 1) (log (exp (fmod (cosh a) (* a a)))) (log (exp (fmod (cosh a) (* a a)))) (log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))))) (log (exp (sqrt (fmod (cosh a) (* a a))))) (log (exp 1)) (log (log (exp (fmod (cosh a) (* a a))))) (exp (log (exp (fmod (cosh a) (* a a))))) (* (cbrt (log (exp (fmod (cosh a) (* a a))))) (cbrt (log (exp (fmod (cosh a) (* a a)))))) (cbrt (log (exp (fmod (cosh a) (* a a))))) (* (* (log (exp (fmod (cosh a) (* a a)))) (log (exp (fmod (cosh a) (* a a))))) (log (exp (fmod (cosh a) (* a a))))) (sqrt (log (exp (fmod (cosh a) (* a a))))) (sqrt (log (exp (fmod (cosh a) (* a a))))) (/ PI 2) (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (exp (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (* (cbrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (cbrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (cbrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (* (* (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (sqrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (sqrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (log (* (cbrt (exp (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (cbrt (exp (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))))) (log (cbrt (exp (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))))) (log (sqrt (exp (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))))) (log (sqrt (exp (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))))) (log 1) (log (exp (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (log (exp (/ PI 2))) (log (exp (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (log (exp (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (log (exp (* (cbrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (cbrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))))) (log (exp (sqrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))))) (log (exp 1)) (log (log (exp (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))))) (exp (log (exp (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))))) (* (cbrt (log (exp (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))))) (cbrt (log (exp (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))))) (cbrt (log (exp (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))))) (* (* (log (exp (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (log (exp (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))))) (log (exp (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))))) (sqrt (log (exp (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))))) (sqrt (log (exp (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))))) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) 2.279 * * [simplify]: iteration 0 : 101 enodes (cost 478 ) 2.281 * * [simplify]: iteration 1 : 138 enodes (cost 409 ) 2.283 * * [simplify]: iteration 2 : 271 enodes (cost 409 ) 2.287 * * [simplify]: iteration 3 : 706 enodes (cost 409 ) 2.306 * * [simplify]: iteration 4 : 3505 enodes (cost 409 ) 2.398 * * [simplify]: iteration 5 : 5002 enodes (cost 409 ) 2.401 * [simplify]: Simplified to: (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (pow (fmod (cosh a) (* a a)) 3) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (* 2 (log (cbrt (exp (fmod (cosh a) (* a a)))))) (log (cbrt (exp (fmod (cosh a) (* a a))))) (log (sqrt (exp (fmod (cosh a) (* a a))))) (log (sqrt (exp (fmod (cosh a) (* a a))))) 0 (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (sqrt (fmod (cosh a) (* a a))) 1 (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (pow (fmod (cosh a) (* a a)) 3) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (/ PI 2) (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (exp (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (* (cbrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (cbrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (cbrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (pow (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) 3) (sqrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (sqrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (* 2 (log (cbrt (exp (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))))) (log (cbrt (exp (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))))) (log (sqrt (exp (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))))) (log (sqrt (exp (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))))) 0 (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (/ PI 2) (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (* (cbrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (cbrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (sqrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) 1 (log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (exp (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (* (cbrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (cbrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (cbrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (pow (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) 3) (sqrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (sqrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) 2.401 * * * [progress]: adding candidates to table 2.563 * * [progress]: iteration 4 / 4 2.563 * * * [progress]: picking best candidate 2.599 * * * * [pick]: Picked # 2.599 * * * [progress]: localizing error 2.614 * * * [progress]: generating rewritten candidates 2.615 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 1 1) 2.615 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 2.617 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 2.618 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 2.620 * * * [progress]: generating series expansions 2.620 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 1 1) 2.620 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 2.621 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.621 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.621 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 2.621 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.621 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.622 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 2.622 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.622 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.622 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 2.622 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 2.622 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.622 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.623 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 2.623 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.623 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.624 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 2.624 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.624 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.624 * * * * [progress]: [ 3 / 4 ] generating series at (2) 2.624 * [approximate]: Taking taylor expansion of (acos (pow (pow (fmod (cosh a) (pow a 2)) (sqrt (log1p a))) (sqrt (log1p a)))) in (a) around 0 2.624 * [taylor]: Taking taylor expansion of (acos (pow (pow (fmod (cosh a) (pow a 2)) (sqrt (log1p a))) (sqrt (log1p a)))) in a 2.625 * [taylor]: Taking taylor expansion of (acos (pow (pow (fmod (cosh a) (pow a 2)) (sqrt (log1p a))) (sqrt (log1p a)))) in a 2.625 * [approximate]: Taking taylor expansion of (acos (pow (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (sqrt (log1p (/ 1 a)))) (sqrt (log1p (/ 1 a))))) in (a) around 0 2.626 * [taylor]: Taking taylor expansion of (acos (pow (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (sqrt (log1p (/ 1 a)))) (sqrt (log1p (/ 1 a))))) in a 2.626 * [taylor]: Taking taylor expansion of (acos (pow (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (sqrt (log1p (/ 1 a)))) (sqrt (log1p (/ 1 a))))) in a 2.627 * [approximate]: Taking taylor expansion of (acos (pow (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (sqrt (log1p (/ -1 a)))) (sqrt (log1p (/ -1 a))))) in (a) around 0 2.627 * [taylor]: Taking taylor expansion of (acos (pow (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (sqrt (log1p (/ -1 a)))) (sqrt (log1p (/ -1 a))))) in a 2.627 * [taylor]: Taking taylor expansion of (acos (pow (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (sqrt (log1p (/ -1 a)))) (sqrt (log1p (/ -1 a))))) in a 2.628 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 2.628 * [approximate]: Taking taylor expansion of (sqrt (log1p a)) in (a) around 0 2.628 * [taylor]: Taking taylor expansion of (sqrt (log1p a)) in a 2.628 * [taylor]: Taking taylor expansion of (log1p a) in a 2.629 * [taylor]: Taking taylor expansion of (sqrt (log1p a)) in a 2.629 * [taylor]: Taking taylor expansion of (log1p a) in a 2.632 * [approximate]: Taking taylor expansion of (sqrt (log1p (/ 1 a))) in (a) around 0 2.632 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 a))) in a 2.632 * [taylor]: Taking taylor expansion of (log1p (/ 1 a)) in a 2.632 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 a))) in a 2.632 * [taylor]: Taking taylor expansion of (log1p (/ 1 a)) in a 2.635 * [approximate]: Taking taylor expansion of (sqrt (log1p (/ -1 a))) in (a) around 0 2.635 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 a))) in a 2.635 * [taylor]: Taking taylor expansion of (log1p (/ -1 a)) in a 2.635 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 a))) in a 2.635 * [taylor]: Taking taylor expansion of (log1p (/ -1 a)) in a 2.638 * * * [progress]: simplifying candidates 2.638 * [simplify]: Simplifying using # : (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (* (* (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a))) (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (log (* (cbrt (exp (fmod (cosh a) (* a a)))) (cbrt (exp (fmod (cosh a) (* a a)))))) (log (cbrt (exp (fmod (cosh a) (* a a))))) (log (sqrt (exp (fmod (cosh a) (* a a))))) (log (sqrt (exp (fmod (cosh a) (* a a))))) (log 1) (log (exp (fmod (cosh a) (* a a)))) (log (exp (fmod (cosh a) (* a a)))) (log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))))) (log (exp (sqrt (fmod (cosh a) (* a a))))) (log (exp 1)) (log (log (exp (fmod (cosh a) (* a a))))) (exp (log (exp (fmod (cosh a) (* a a))))) (* (cbrt (log (exp (fmod (cosh a) (* a a))))) (cbrt (log (exp (fmod (cosh a) (* a a)))))) (cbrt (log (exp (fmod (cosh a) (* a a))))) (* (* (log (exp (fmod (cosh a) (* a a)))) (log (exp (fmod (cosh a) (* a a))))) (log (exp (fmod (cosh a) (* a a))))) (sqrt (log (exp (fmod (cosh a) (* a a))))) (sqrt (log (exp (fmod (cosh a) (* a a))))) (/ PI 2) (asin (pow (pow (log (exp (fmod (cosh a) (* a a)))) (sqrt (log1p a))) (sqrt (log1p a)))) (log (acos (pow (pow (log (exp (fmod (cosh a) (* a a)))) (sqrt (log1p a))) (sqrt (log1p a))))) (exp (acos (pow (pow (log (exp (fmod (cosh a) (* a a)))) (sqrt (log1p a))) (sqrt (log1p a))))) (* (cbrt (acos (pow (pow (log (exp (fmod (cosh a) (* a a)))) (sqrt (log1p a))) (sqrt (log1p a))))) (cbrt (acos (pow (pow (log (exp (fmod (cosh a) (* a a)))) (sqrt (log1p a))) (sqrt (log1p a)))))) (cbrt (acos (pow (pow (log (exp (fmod (cosh a) (* a a)))) (sqrt (log1p a))) (sqrt (log1p a))))) (* (* (acos (pow (pow (log (exp (fmod (cosh a) (* a a)))) (sqrt (log1p a))) (sqrt (log1p a)))) (acos (pow (pow (log (exp (fmod (cosh a) (* a a)))) (sqrt (log1p a))) (sqrt (log1p a))))) (acos (pow (pow (log (exp (fmod (cosh a) (* a a)))) (sqrt (log1p a))) (sqrt (log1p a))))) (sqrt (acos (pow (pow (log (exp (fmod (cosh a) (* a a)))) (sqrt (log1p a))) (sqrt (log1p a))))) (sqrt (acos (pow (pow (log (exp (fmod (cosh a) (* a a)))) (sqrt (log1p a))) (sqrt (log1p a))))) (log (sqrt (log1p a))) (exp (sqrt (log1p a))) (* (cbrt (sqrt (log1p a))) (cbrt (sqrt (log1p a)))) (cbrt (sqrt (log1p a))) (* (* (sqrt (log1p a)) (sqrt (log1p a))) (sqrt (log1p a))) (sqrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (sqrt (cbrt (log1p a))) (sqrt (sqrt (log1p a))) (sqrt (sqrt (log1p a))) (sqrt 1) (sqrt (log1p a)) (/ 1 2) (sqrt (sqrt (log1p a))) (sqrt (sqrt (log1p a))) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (acos (pow (pow (fmod (cosh a) (pow a 2)) (sqrt (log1p a))) (sqrt (log1p a)))) (acos (pow (pow (fmod (cosh a) (pow a 2)) (sqrt (log1p a))) (sqrt (log1p a)))) (acos (pow (pow (fmod (cosh a) (pow a 2)) (sqrt (log1p a))) (sqrt (log1p a)))) (sqrt (log1p a)) (sqrt (log1p a)) (sqrt (log1p a)) 2.642 * * [simplify]: iteration 0 : 95 enodes (cost 369 ) 2.644 * * [simplify]: iteration 1 : 135 enodes (cost 320 ) 2.646 * * [simplify]: iteration 2 : 272 enodes (cost 320 ) 2.651 * * [simplify]: iteration 3 : 689 enodes (cost 319 ) 2.669 * * [simplify]: iteration 4 : 3222 enodes (cost 319 ) 2.748 * * [simplify]: iteration 5 : 5001 enodes (cost 319 ) 2.750 * [simplify]: Simplified to: (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (pow (fmod (cosh a) (* a a)) 3) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (* 2 (log (cbrt (exp (fmod (cosh a) (* a a)))))) (log (cbrt (exp (fmod (cosh a) (* a a))))) (log (sqrt (exp (fmod (cosh a) (* a a))))) (log (sqrt (exp (fmod (cosh a) (* a a))))) 0 (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (sqrt (fmod (cosh a) (* a a))) 1 (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (pow (fmod (cosh a) (* a a)) 3) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (/ PI 2) (asin (pow (pow (log (exp (fmod (cosh a) (* a a)))) (sqrt (log1p a))) (sqrt (log1p a)))) (log (acos (pow (pow (log (exp (fmod (cosh a) (* a a)))) (sqrt (log1p a))) (sqrt (log1p a))))) (exp (acos (pow (pow (log (exp (fmod (cosh a) (* a a)))) (sqrt (log1p a))) (sqrt (log1p a))))) (* (cbrt (acos (pow (pow (log (exp (fmod (cosh a) (* a a)))) (sqrt (log1p a))) (sqrt (log1p a))))) (cbrt (acos (pow (pow (log (exp (fmod (cosh a) (* a a)))) (sqrt (log1p a))) (sqrt (log1p a)))))) (cbrt (acos (pow (pow (log (exp (fmod (cosh a) (* a a)))) (sqrt (log1p a))) (sqrt (log1p a))))) (pow (acos (pow (pow (fmod (cosh a) (pow a 2)) (sqrt (log1p a))) (sqrt (log1p a)))) 3) (sqrt (acos (pow (pow (log (exp (fmod (cosh a) (* a a)))) (sqrt (log1p a))) (sqrt (log1p a))))) (sqrt (acos (pow (pow (log (exp (fmod (cosh a) (* a a)))) (sqrt (log1p a))) (sqrt (log1p a))))) (log (sqrt (log1p a))) (exp (sqrt (log1p a))) (* (cbrt (sqrt (log1p a))) (cbrt (sqrt (log1p a)))) (cbrt (sqrt (log1p a))) (pow (sqrt (log1p a)) 3) (fabs (cbrt (log1p a))) (sqrt (cbrt (log1p a))) (sqrt (sqrt (log1p a))) (sqrt (sqrt (log1p a))) 1 (sqrt (log1p a)) 1/2 (sqrt (sqrt (log1p a))) (sqrt (sqrt (log1p a))) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (acos (pow (pow (fmod (cosh a) (pow a 2)) (sqrt (log1p a))) (sqrt (log1p a)))) (acos (pow (pow (fmod (cosh a) (pow a 2)) (sqrt (log1p a))) (sqrt (log1p a)))) (acos (pow (pow (fmod (cosh a) (pow a 2)) (sqrt (log1p a))) (sqrt (log1p a)))) (sqrt (log1p a)) (sqrt (log1p a)) (sqrt (log1p a)) 2.750 * * * [progress]: adding candidates to table 2.912 * [progress]: [Phase 3 of 3] Extracting. 2.912 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # #) 2.916 * * * [regime-changes]: Trying 3 branch expressions: ((pow (fmod (cosh a) (* a a)) (log1p a)) (acos (pow (fmod (cosh a) (* a a)) (log1p a))) a) 2.916 * * * * [regimes]: Trying to branch on (pow (fmod (cosh a) (* a a)) (log1p a)) from (# # # # # # # # # # # #) 2.983 * * * * [regimes]: Trying to branch on (pow (fmod (cosh a) (* a a)) (log1p a)) from (# # #) 3.009 * * * * [regimes]: Trying to branch on (acos (pow (fmod (cosh a) (* a a)) (log1p a))) from (# # # # # # # # # # # #) 3.078 * * * * [regimes]: Trying to branch on a from (# # # # # # # # # # # #) 3.142 * * * [regime]: Found split indices: #