0.010 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.411 * * * [progress]: [2/2] Setting up program. 0.415 * [progress]: [Phase 2 of 3] Improving. 0.415 * [simplify]: Simplifying using # : (fabs (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) 0.417 * * [simplify]: iteration 0 : 8 enodes (cost 7 ) 0.417 * [simplify]: Simplified to: (fabs (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) 0.418 * * [progress]: iteration 1 / 4 0.418 * * * [progress]: picking best candidate 0.420 * * * * [pick]: Picked # 0.421 * * * [progress]: localizing error 0.433 * * * [progress]: generating rewritten candidates 0.433 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.434 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1) 0.436 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.437 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.439 * * * [progress]: generating series expansions 0.439 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.441 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 0.442 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.443 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.446 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 0.446 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.446 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.447 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 0.447 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.447 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.448 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1) 0.448 * [approximate]: Taking taylor expansion of (sin (expm1 a)) in (a) around 0 0.448 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.448 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.448 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.448 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.467 * [approximate]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in (a) around 0 0.467 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.467 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.468 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.468 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.485 * [approximate]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in (a) around 0 0.485 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.485 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.485 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.485 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.508 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.508 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 a))) in (a) around 0 0.508 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 a))) in a 0.508 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 a))) in a 0.508 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in (a) around 0 0.508 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in a 0.508 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in a 0.509 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in (a) around 0 0.509 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in a 0.509 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in a 0.509 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.509 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in (a) around 0 0.509 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.509 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.510 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in (a) around 0 0.510 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.510 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.510 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in (a) around 0 0.510 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 0.511 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 0.511 * * * [progress]: simplifying candidates 0.512 * [simplify]: Simplifying using # : (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (exp (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (* (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log (sin (expm1 a))) (exp (sin (expm1 a))) (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))) (* (* (sin (expm1 a)) (sin (expm1 a))) (sin (expm1 a))) (sqrt (sin (expm1 a))) (sqrt (sin (expm1 a))) (log (expm1 (sin (expm1 a)))) (exp (expm1 (sin (expm1 a)))) (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a)))) (* (* (expm1 (sin (expm1 a))) (expm1 (sin (expm1 a)))) (expm1 (sin (expm1 a)))) (sqrt (expm1 (sin (expm1 a)))) (sqrt (expm1 (sin (expm1 a)))) (log (atan2 (expm1 (sin (expm1 a))) (atan a))) (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (* (* (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a))) (atan2 (expm1 (sin (expm1 a))) (atan a))) (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (sin (expm1 a)) (sin (expm1 a)) (sin (expm1 a)) (expm1 (sin (expm1 a))) (expm1 (sin (expm1 a))) (expm1 (sin (expm1 a))) (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) 0.515 * * [simplify]: iteration 0 : 39 enodes (cost 248 ) 0.516 * * [simplify]: iteration 1 : 44 enodes (cost 212 ) 0.517 * * [simplify]: iteration 2 : 54 enodes (cost 212 ) 0.519 * * [simplify]: iteration 3 : 68 enodes (cost 212 ) 0.521 * * [simplify]: iteration 4 : 114 enodes (cost 212 ) 0.523 * * [simplify]: iteration 5 : 228 enodes (cost 212 ) 0.529 * * [simplify]: iteration 6 : 919 enodes (cost 212 ) 0.550 * * [simplify]: iteration 7 : 3184 enodes (cost 212 ) 0.630 * * [simplify]: iteration 8 : 5001 enodes (cost 212 ) 0.632 * [simplify]: Simplified to: (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (exp (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log (sin (expm1 a))) (exp (sin (expm1 a))) (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))) (pow (sin (expm1 a)) 3) (sqrt (sin (expm1 a))) (sqrt (sin (expm1 a))) (log (expm1 (sin (expm1 a)))) (exp (expm1 (sin (expm1 a)))) (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a)))) (pow (expm1 (sin (expm1 a))) 3) (sqrt (expm1 (sin (expm1 a)))) (sqrt (expm1 (sin (expm1 a)))) (log (atan2 (expm1 (sin (expm1 a))) (atan a))) (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (sin (expm1 a)) (sin (expm1 a)) (sin (expm1 a)) (expm1 (sin (expm1 a))) (expm1 (sin (expm1 a))) (expm1 (sin (expm1 a))) (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) 0.632 * * * [progress]: adding candidates to table 0.743 * * [progress]: iteration 2 / 4 0.743 * * * [progress]: picking best candidate 0.787 * * * * [pick]: Picked # 0.787 * * * [progress]: localizing error 0.803 * * * [progress]: generating rewritten candidates 0.803 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.804 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 0.807 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.810 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1 1) 0.812 * * * [progress]: generating series expansions 0.813 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.813 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 0.813 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.813 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.813 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 0.813 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.814 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.814 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 0.814 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.814 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.815 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 0.815 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) in (a) around 0 0.815 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) in a 0.815 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.815 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) in a 0.815 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.826 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 3) in (a) around 0 0.826 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 3) in a 0.826 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.826 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 3) in a 0.826 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.837 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 3) in (a) around 0 0.837 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 3) in a 0.837 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 0.838 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 3) in a 0.838 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 0.848 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.848 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in (a) around 0 0.848 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.848 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.849 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in (a) around 0 0.849 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.849 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.850 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in (a) around 0 0.850 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 0.850 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 0.850 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1 1) 0.850 * [approximate]: Taking taylor expansion of (sin (expm1 a)) in (a) around 0 0.850 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.850 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.850 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.850 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.871 * [approximate]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in (a) around 0 0.871 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.871 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.872 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.872 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.890 * [approximate]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in (a) around 0 0.890 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.890 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.890 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.890 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.907 * * * [progress]: simplifying candidates 0.908 * [simplify]: Simplifying using # : (log (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (exp (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (* (cbrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (cbrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a))) (cbrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (* (* (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a) (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (sqrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (sqrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (* (log (atan2 (expm1 (sin (expm1 a))) (atan a))) 3) (* (log (atan2 (expm1 (sin (expm1 a))) (atan a))) 3) (* 1 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) (* (cbrt 3) (cbrt 3))) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) (sqrt 3)) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1) (pow (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) 3) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 3) (pow (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 3) (pow (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 3) (pow 1 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (* (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a))) (log (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (exp (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (* (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3))) (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (* (* (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (pow (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) 3) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 3) (pow (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 3) (pow (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 3) (pow 1 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (* (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a))) (sqrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (sqrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) (/ 3 2)) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) (/ 3 2)) (log (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3))) (exp (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3))) (cbrt (pow (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) 3)) (cbrt (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 3)) (cbrt (pow (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 3)) (cbrt (pow (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 3)) (cbrt (pow 1 3)) (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (cbrt (* (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (* (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)))) (cbrt (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3))) (cbrt (pow (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) 3)) (cbrt (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 3)) (cbrt (pow (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 3)) (cbrt (pow (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 3)) (cbrt (pow 1 3)) (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (* (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (sqrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3))) (cbrt (sqrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3))) (cbrt 1) (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) (/ 3 2))) (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) (/ 3 2))) (* (cbrt (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3))) (cbrt (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)))) (cbrt (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3))) (* (* (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3))) (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3))) (sqrt (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3))) (sqrt (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3))) (log (sin (expm1 a))) (exp (sin (expm1 a))) (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))) (* (* (sin (expm1 a)) (sin (expm1 a))) (sin (expm1 a))) (sqrt (sin (expm1 a))) (sqrt (sin (expm1 a))) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) (sin (expm1 a)) (sin (expm1 a)) (sin (expm1 a)) 0.912 * * [simplify]: iteration 0 : 112 enodes (cost 584 ) 0.915 * * [simplify]: iteration 1 : 390 enodes (cost 527 ) 0.927 * * [simplify]: iteration 2 : 2787 enodes (cost 521 ) 1.032 * * [simplify]: iteration 3 : 5001 enodes (cost 521 ) 1.035 * [simplify]: Simplified to: (log (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (exp (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (* (cbrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (cbrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a))) (cbrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3) (sqrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (sqrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (log (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (log (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) 3 (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) (* (cbrt 3) (cbrt 3))) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) (sqrt 3)) (atan2 (expm1 (sin (expm1 a))) (atan a)) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 2) (atan2 (expm1 (sin (expm1 a))) (atan a)) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3/2) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3/2) 1 (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 2) (log (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (exp (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 2) (atan2 (expm1 (sin (expm1 a))) (atan a)) (pow (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 2) (atan2 (expm1 (sin (expm1 a))) (atan a)) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3/2) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3/2) 1 (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 2) (sqrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (sqrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3/2) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3/2) (log (atan2 (expm1 (sin (expm1 a))) (atan a))) (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (* (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1 (atan2 (expm1 (sin (expm1 a))) (atan a)) (cbrt (* (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (* (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (* (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1 (atan2 (expm1 (sin (expm1 a))) (atan a)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (* (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (sqrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3))) (cbrt (sqrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3))) 1 (atan2 (expm1 (sin (expm1 a))) (atan a)) (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (* (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (log (sin (expm1 a))) (exp (sin (expm1 a))) (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))) (pow (sin (expm1 a)) 3) (sqrt (sin (expm1 a))) (sqrt (sin (expm1 a))) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) (sin (expm1 a)) (sin (expm1 a)) (sin (expm1 a)) 1.036 * * * [progress]: adding candidates to table 1.183 * * [progress]: iteration 3 / 4 1.183 * * * [progress]: picking best candidate 1.252 * * * * [pick]: Picked # 1.252 * * * [progress]: localizing error 1.273 * * * [progress]: generating rewritten candidates 1.273 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.274 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 1.276 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.278 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1 1 1) 1.287 * * * [progress]: generating series expansions 1.287 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.290 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 1.290 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.290 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.291 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 1.291 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.291 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.292 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 1.292 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.292 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.292 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 1.293 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) in (a) around 0 1.293 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) in a 1.293 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 1.293 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) in a 1.293 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 1.303 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 3) in (a) around 0 1.303 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 3) in a 1.303 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 1.304 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 3) in a 1.304 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 1.314 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 3) in (a) around 0 1.314 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 3) in a 1.315 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 1.315 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 3) in a 1.315 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 1.325 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.326 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in (a) around 0 1.326 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 1.326 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 1.326 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in (a) around 0 1.326 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 1.326 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 1.327 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in (a) around 0 1.327 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 1.327 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 1.328 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1 1 1) 1.328 * [approximate]: Taking taylor expansion of (pow (pow (sin (expm1 a)) 2) 1/3) in (a) around 0 1.328 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 a)) 2) 1/3) in a 1.328 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin (expm1 a)) 2)))) in a 1.328 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin (expm1 a)) 2))) in a 1.328 * [taylor]: Taking taylor expansion of 1/3 in a 1.328 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 a)) 2)) in a 1.328 * [taylor]: Taking taylor expansion of (pow (sin (expm1 a)) 2) in a 1.328 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 1.328 * [taylor]: Taking taylor expansion of (expm1 a) in a 1.329 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 a)) 2) 1/3) in a 1.329 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin (expm1 a)) 2)))) in a 1.329 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin (expm1 a)) 2))) in a 1.329 * [taylor]: Taking taylor expansion of 1/3 in a 1.329 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 a)) 2)) in a 1.329 * [taylor]: Taking taylor expansion of (pow (sin (expm1 a)) 2) in a 1.329 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 1.329 * [taylor]: Taking taylor expansion of (expm1 a) in a 1.388 * [approximate]: Taking taylor expansion of (pow (pow (sin (expm1 (/ 1 a))) 2) 1/3) in (a) around 0 1.388 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ 1 a))) 2) 1/3) in a 1.388 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin (expm1 (/ 1 a))) 2)))) in a 1.388 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin (expm1 (/ 1 a))) 2))) in a 1.388 * [taylor]: Taking taylor expansion of 1/3 in a 1.388 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ 1 a))) 2)) in a 1.388 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ 1 a))) 2) in a 1.388 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 1.388 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 1.389 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ 1 a))) 2) 1/3) in a 1.389 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin (expm1 (/ 1 a))) 2)))) in a 1.389 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin (expm1 (/ 1 a))) 2))) in a 1.389 * [taylor]: Taking taylor expansion of 1/3 in a 1.389 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ 1 a))) 2)) in a 1.389 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ 1 a))) 2) in a 1.389 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 1.389 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 1.444 * [approximate]: Taking taylor expansion of (pow (pow (sin (expm1 (/ -1 a))) 2) 1/3) in (a) around 0 1.444 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ -1 a))) 2) 1/3) in a 1.444 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin (expm1 (/ -1 a))) 2)))) in a 1.444 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin (expm1 (/ -1 a))) 2))) in a 1.444 * [taylor]: Taking taylor expansion of 1/3 in a 1.444 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ -1 a))) 2)) in a 1.444 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ -1 a))) 2) in a 1.444 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 1.444 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 1.445 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ -1 a))) 2) 1/3) in a 1.445 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin (expm1 (/ -1 a))) 2)))) in a 1.445 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin (expm1 (/ -1 a))) 2))) in a 1.445 * [taylor]: Taking taylor expansion of 1/3 in a 1.445 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ -1 a))) 2)) in a 1.445 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ -1 a))) 2) in a 1.445 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 1.445 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 1.506 * * * [progress]: simplifying candidates 1.507 * [simplify]: Simplifying using # : (log (fmod (cbrt (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3)) a)) (exp (fmod (cbrt (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3)) a)) (* (cbrt (fmod (cbrt (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3)) a)) (cbrt (fmod (cbrt (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3)) a))) (cbrt (fmod (cbrt (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3)) a)) (* (* (fmod (cbrt (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3)) a) (fmod (cbrt (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3)) a)) (fmod (cbrt (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3)) a)) (sqrt (fmod (cbrt (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3)) a)) (sqrt (fmod (cbrt (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3)) a)) (* (log (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a))) 3) (* (log (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a))) 3) (* 1 3) (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) (* (cbrt 3) (cbrt 3))) (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) (sqrt 3)) (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 1) (pow (* (cbrt (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a))) (cbrt (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)))) 3) (pow (cbrt (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a))) 3) (pow (sqrt (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a))) 3) (pow (sqrt (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a))) 3) (pow 1 3) (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 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(sin (expm1 a))) (atan a)) (* (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a))) (atan2 (expm1 (sin (expm1 a))) (atan a)) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3/2) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3/2) 1 (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (* (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a))) (log (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3)) (exp (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3)) (* (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a))) (atan2 (expm1 (sin (expm1 a))) (atan a)) (pow (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3) 3) (* (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a))) (atan2 (expm1 (sin (expm1 a))) (atan a)) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3/2) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3/2) 1 (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (* (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a))) (sqrt (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3)) (sqrt (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3)) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3/2) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3/2) (log (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a))) (exp (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a))) (cbrt (* (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)))) (cbrt (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a))) (sqrt (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a))) (sqrt (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a))) 1 (atan2 (expm1 (sin (expm1 a))) (atan a)) (cbrt (* (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)))) (cbrt (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a))) (cbrt (* (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)))) (cbrt (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a))) (cbrt (* (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)))) (cbrt (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a))) (sqrt (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a))) (sqrt (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a))) 1 (atan2 (expm1 (sin (expm1 a))) (atan a)) (cbrt (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a))) (cbrt (* (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)))) (cbrt (sqrt (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3))) (cbrt (sqrt (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3))) 1 (atan2 (expm1 (sin (expm1 a))) (atan a)) (sqrt (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a))) (sqrt (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a))) (cbrt (* (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)))) (cbrt (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a))) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (sqrt (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a))) (sqrt (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a))) 2/3 2 (pow (sin (expm1 a)) 2) (pow (sqrt (cbrt (sin (expm1 a)))) 4) 2 (* 2 (log (cbrt (sin (expm1 a))))) (* 2 (log (cbrt (sin (expm1 a))))) (pow (exp 1) (pow (sqrt (cbrt (sin (expm1 a)))) 4)) (pow (sin (expm1 a)) 2) (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (pow (sin (expm1 a)) 2) (fabs (cbrt (sin (expm1 a)))) (fabs (cbrt (sin (expm1 a)))) (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a))))) (* (cbrt (sqrt (sin (expm1 a)))) (cbrt (sqrt (sin (expm1 a))))) (* (cbrt (sqrt (sin (expm1 a)))) (cbrt (sqrt (sin (expm1 a))))) 1 (pow (sqrt (cbrt (sin (expm1 a)))) 4) (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a))))) (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))) 1 (pow (sqrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (sqrt (sin (expm1 a)))) (cbrt (sqrt (sin (expm1 a))))) (* (cbrt (sqrt (sin (expm1 a)))) (cbrt (sqrt (sin (expm1 a))))) (* (cbrt (sqrt (sin (expm1 a)))) (sqrt (cbrt (sin (expm1 a))))) (* (cbrt (sqrt (sin (expm1 a)))) (sqrt (cbrt (sin (expm1 a))))) (* (cbrt (sqrt (sin (expm1 a)))) (sqrt (cbrt (sin (expm1 a))))) (* (cbrt (sqrt (sin (expm1 a)))) (sqrt (cbrt (sin (expm1 a))))) (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))) 2/3 2 (* (cbrt (sin (expm1 a))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (* (cbrt (sin (expm1 a))) (cbrt (sqrt (sin (expm1 a))))) (cbrt (sin (expm1 a))) (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (cbrt (cbrt (sin (expm1 a))))) (pow (sqrt (cbrt (sin (expm1 a)))) 3) (cbrt (sin (expm1 a))) (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (sin (expm1 a))) (cbrt (sqrt (sin (expm1 a))))) (pow (sqrt (cbrt (sin (expm1 a)))) 4) (pow (cbrt (cbrt (sin (expm1 a)))) 4) (pow (sqrt (cbrt (sin (expm1 a)))) 3) (pow (sqrt (cbrt (sin (expm1 a)))) 4) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) (pow (pow (sin (expm1 a)) 2) 1/3) (pow (pow (sin (expm1 a)) 2) 1/3) (pow (pow (sin (expm1 a)) 2) 1/3) 1.684 * * * [progress]: adding candidates to table 1.970 * * [progress]: iteration 4 / 4 1.970 * * * [progress]: picking best candidate 2.080 * * * * [pick]: Picked # 2.080 * * * [progress]: localizing error 2.107 * * * [progress]: generating rewritten candidates 2.107 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 2.108 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 2.110 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 1 1 1 2) 2.115 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1 1 1 1 2) 2.121 * * * [progress]: generating series expansions 2.121 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 2.122 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 2.122 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.122 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.123 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 2.123 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.123 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.124 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 2.124 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 2.124 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 2.125 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 2.126 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) in (a) around 0 2.126 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) in a 2.126 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 2.126 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) in a 2.126 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 2.136 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 3) in (a) around 0 2.136 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 3) in a 2.136 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 2.136 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 3) in a 2.136 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 2.148 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 3) in (a) around 0 2.148 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 3) in a 2.148 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 2.148 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 3) in a 2.148 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 2.162 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 1 1 1 2) 2.162 * [approximate]: Taking taylor expansion of (pow (pow (sin (expm1 a)) 2) 1/9) in (a) around 0 2.162 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 a)) 2) 1/9) in a 2.162 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 a)) 2)))) in a 2.162 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 a)) 2))) in a 2.162 * [taylor]: Taking taylor expansion of 1/9 in a 2.162 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 a)) 2)) in a 2.162 * [taylor]: Taking taylor expansion of (pow (sin (expm1 a)) 2) in a 2.162 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 2.162 * [taylor]: Taking taylor expansion of (expm1 a) in a 2.163 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 a)) 2) 1/9) in a 2.163 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 a)) 2)))) in a 2.163 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 a)) 2))) in a 2.163 * [taylor]: Taking taylor expansion of 1/9 in a 2.163 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 a)) 2)) in a 2.163 * [taylor]: Taking taylor expansion of (pow (sin (expm1 a)) 2) in a 2.163 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 2.163 * [taylor]: Taking taylor expansion of (expm1 a) in a 2.218 * [approximate]: Taking taylor expansion of (pow (pow (sin (expm1 (/ 1 a))) 2) 1/9) in (a) around 0 2.218 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ 1 a))) 2) 1/9) in a 2.218 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 (/ 1 a))) 2)))) in a 2.218 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 (/ 1 a))) 2))) in a 2.218 * [taylor]: Taking taylor expansion of 1/9 in a 2.218 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ 1 a))) 2)) in a 2.218 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ 1 a))) 2) in a 2.218 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 2.218 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 2.219 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ 1 a))) 2) 1/9) in a 2.219 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 (/ 1 a))) 2)))) in a 2.219 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 (/ 1 a))) 2))) in a 2.219 * [taylor]: Taking taylor expansion of 1/9 in a 2.219 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ 1 a))) 2)) in a 2.219 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ 1 a))) 2) in a 2.219 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 2.219 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 2.281 * [approximate]: Taking taylor expansion of (pow (pow (sin (expm1 (/ -1 a))) 2) 1/9) in (a) around 0 2.281 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ -1 a))) 2) 1/9) in a 2.281 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 (/ -1 a))) 2)))) in a 2.281 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 (/ -1 a))) 2))) in a 2.281 * [taylor]: Taking taylor expansion of 1/9 in a 2.281 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ -1 a))) 2)) in a 2.281 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ -1 a))) 2) in a 2.281 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 2.281 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 2.281 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ -1 a))) 2) 1/9) in a 2.281 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 (/ -1 a))) 2)))) in a 2.282 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 (/ -1 a))) 2))) in a 2.282 * [taylor]: Taking taylor expansion of 1/9 in a 2.282 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ -1 a))) 2)) in a 2.282 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ -1 a))) 2) in a 2.282 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 2.282 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 2.342 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1 1 1 1 2) 2.342 * [approximate]: Taking taylor expansion of (pow (pow (sin (expm1 a)) 2) 1/9) in (a) around 0 2.342 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 a)) 2) 1/9) in a 2.342 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 a)) 2)))) in a 2.342 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 a)) 2))) in a 2.342 * [taylor]: Taking taylor expansion of 1/9 in a 2.342 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 a)) 2)) in a 2.342 * [taylor]: Taking taylor expansion of (pow (sin (expm1 a)) 2) in a 2.342 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 2.342 * [taylor]: Taking taylor expansion of (expm1 a) in a 2.343 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 a)) 2) 1/9) in a 2.343 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 a)) 2)))) in a 2.343 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 a)) 2))) in a 2.343 * [taylor]: Taking taylor expansion of 1/9 in a 2.343 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 a)) 2)) in a 2.343 * [taylor]: Taking taylor expansion of (pow (sin (expm1 a)) 2) in a 2.343 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 2.343 * [taylor]: Taking taylor expansion of (expm1 a) in a 2.398 * [approximate]: Taking taylor expansion of (pow (pow (sin (expm1 (/ 1 a))) 2) 1/9) in (a) around 0 2.398 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ 1 a))) 2) 1/9) in a 2.398 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 (/ 1 a))) 2)))) in a 2.398 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 (/ 1 a))) 2))) in a 2.398 * [taylor]: Taking taylor expansion of 1/9 in a 2.398 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ 1 a))) 2)) in a 2.398 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ 1 a))) 2) in a 2.398 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 2.398 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 2.399 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ 1 a))) 2) 1/9) in a 2.399 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 (/ 1 a))) 2)))) in a 2.399 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 (/ 1 a))) 2))) in a 2.399 * [taylor]: Taking taylor expansion of 1/9 in a 2.399 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ 1 a))) 2)) in a 2.399 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ 1 a))) 2) in a 2.399 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 2.399 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 2.460 * [approximate]: Taking taylor expansion of (pow (pow (sin (expm1 (/ -1 a))) 2) 1/9) in (a) around 0 2.460 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ -1 a))) 2) 1/9) in a 2.460 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 (/ -1 a))) 2)))) in a 2.460 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 (/ -1 a))) 2))) in a 2.460 * [taylor]: Taking taylor expansion of 1/9 in a 2.460 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ -1 a))) 2)) in a 2.460 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ -1 a))) 2) in a 2.460 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 2.460 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 2.461 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ -1 a))) 2) 1/9) in a 2.461 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 (/ -1 a))) 2)))) in a 2.461 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 (/ -1 a))) 2))) in a 2.461 * [taylor]: Taking taylor expansion of 1/9 in a 2.461 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ -1 a))) 2)) in a 2.461 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ -1 a))) 2) in a 2.461 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 2.461 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 2.523 * * * [progress]: simplifying candidates 2.524 * [simplify]: Simplifying using # : (log (fmod (cbrt (pow (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)) a)) (exp (fmod (cbrt (pow (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)) a)) (* (cbrt (fmod (cbrt (pow (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)) a)) (cbrt (fmod (cbrt (pow (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)) a))) (cbrt (fmod (cbrt (pow (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)) a)) (* (* (fmod (cbrt (pow (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)) a) (fmod (cbrt (pow (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)) a)) (fmod (cbrt (pow (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)) a)) (sqrt (fmod (cbrt (pow (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)) a)) (sqrt (fmod (cbrt (pow (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)) a)) (* (log (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a))) 3) (* (log (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a))) 3) (* 1 3) (pow (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) (* (cbrt 3) (cbrt 3))) (pow (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) (sqrt 3)) (pow (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 1) (pow (* (cbrt (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a))) (cbrt (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)))) 3) (pow (cbrt (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a))) 3) (pow (sqrt (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a))) 3) (pow (sqrt (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a))) 3) (pow 1 3) (pow (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3) (* (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a))) (log (pow (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)) (exp (pow (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)) (* (cbrt (pow (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)) (cbrt (pow (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3))) (cbrt (pow (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)) (* (* (pow (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3) (pow (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)) (pow (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)) (pow (* (cbrt (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a))) (cbrt (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)))) 3) (pow (cbrt (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a))) 3) (pow (sqrt (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a))) 3) (pow (sqrt (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a))) 3) (pow 1 3) (pow (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3) (* (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a))) (sqrt (pow (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)) (sqrt (pow (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)) (pow (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) (/ 3 2)) (pow (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) (/ 3 2)) (log (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (exp (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))) (* (cbrt (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))))) (cbrt (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (sqrt (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (sqrt (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (log (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (exp (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))) (* (cbrt (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))))) (cbrt (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (sqrt (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (sqrt (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (pow (pow (sin (expm1 a)) 2) 1/9) (pow (pow (sin (expm1 a)) 2) 1/9) (pow (pow (sin (expm1 a)) 2) 1/9) (pow (pow (sin (expm1 a)) 2) 1/9) (pow (pow (sin (expm1 a)) 2) 1/9) (pow (pow (sin (expm1 a)) 2) 1/9) 2.531 * * [simplify]: iteration 0 : 122 enodes (cost 1720 ) 2.534 * * [simplify]: iteration 1 : 400 enodes (cost 1414 ) 2.546 * * [simplify]: iteration 2 : 2904 enodes (cost 1406 ) 2.654 * * [simplify]: iteration 3 : 5002 enodes (cost 1406 ) 2.659 * [simplify]: Simplified to: (log (fmod (cbrt (pow (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)) a)) (exp (fmod (cbrt (pow (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)) a)) (* (cbrt (fmod (cbrt (pow (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)) a)) (cbrt (fmod (cbrt (pow (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)) a))) (cbrt (fmod (cbrt (pow (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)) a)) (pow (fmod (cbrt (pow (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)) a) 3) (sqrt (fmod (cbrt (pow (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)) a)) (sqrt (fmod (cbrt (pow (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)) a)) (log (pow (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)) (log (pow (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)) 3 (pow (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) (* (cbrt 3) (cbrt 3))) (pow (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) (sqrt 3)) (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) (pow (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 2) (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) (pow (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3/2) (pow (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3/2) 1 (pow (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3) (pow (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 2) (log (pow (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)) (exp (pow (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)) (pow (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 2) (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) (pow (pow (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3) 3) (pow (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 2) (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) (pow (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3/2) (pow (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3/2) 1 (pow (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3) (pow (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 2) (sqrt (pow (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)) (sqrt (pow (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)) (pow (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3/2) (pow (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3/2) (log (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (exp (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))) (* (cbrt (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))))) (cbrt (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (sqrt (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (sqrt (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (log (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (exp (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))) (* (cbrt (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))))) (cbrt (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (sqrt (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (sqrt (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (pow (pow (sin (expm1 a)) 2) 1/9) (pow (pow (sin (expm1 a)) 2) 1/9) (pow (pow (sin (expm1 a)) 2) 1/9) (pow (pow (sin (expm1 a)) 2) 1/9) (pow (pow (sin (expm1 a)) 2) 1/9) (pow (pow (sin (expm1 a)) 2) 1/9) 2.659 * * * [progress]: adding candidates to table 2.876 * [progress]: [Phase 3 of 3] Extracting. 2.876 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # # # # # # # # # # # # # # # #) 2.890 * * * [regime-changes]: Trying 2 branch expressions: ((fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) a) 2.890 * * * * [regimes]: Trying to branch on (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) from (# # # # # # # # # # # # # # # # # # # # # # # # # # # # # # #) 3.072 * * * * [regimes]: Trying to branch on (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) from (# # #) 3.114 * * * * [regimes]: Trying to branch on a from (# # # # # # # # # # # # # # # # # # # # # # # # # # # # # # #) 3.276 * * * [regime]: Found split indices: #