0.012 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.417 * * * [progress]: [2/2] Setting up program. 0.420 * [progress]: [Phase 2 of 3] Improving. 0.420 * [simplify]: Simplifying using # : (fabs (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) 0.422 * * [simplify]: iteration 0 : 8 enodes (cost 7 ) 0.422 * [simplify]: Simplified to: (fabs (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) 0.423 * * [progress]: iteration 1 / 4 0.423 * * * [progress]: picking best candidate 0.426 * * * * [pick]: Picked # 0.426 * * * [progress]: localizing error 0.442 * * * [progress]: generating rewritten candidates 0.442 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.443 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1) 0.443 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.444 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.444 * * * [progress]: generating series expansions 0.444 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.444 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 0.444 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.445 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.445 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 0.445 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.445 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 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 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1) 0.447 * [approximate]: Taking taylor expansion of (sin (expm1 a)) in (a) around 0 0.447 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.447 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.447 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.447 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.465 * [approximate]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in (a) around 0 0.465 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.465 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.465 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.465 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.483 * [approximate]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in (a) around 0 0.483 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.483 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.483 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.483 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.501 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.501 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 a))) in (a) around 0 0.501 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 a))) in a 0.501 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 a))) in a 0.501 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in (a) around 0 0.501 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in a 0.501 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in a 0.501 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in (a) around 0 0.501 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in a 0.502 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in a 0.502 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.502 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in (a) around 0 0.502 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.502 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.502 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in (a) around 0 0.502 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.503 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.503 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in (a) around 0 0.503 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 0.503 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 0.504 * * * [progress]: simplifying candidates 0.504 * [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)) 0.507 * * [simplify]: iteration 0 : 39 enodes (cost 248 ) 0.508 * * [simplify]: iteration 1 : 44 enodes (cost 212 ) 0.510 * * [simplify]: iteration 2 : 54 enodes (cost 212 ) 0.511 * * [simplify]: iteration 3 : 68 enodes (cost 212 ) 0.513 * * [simplify]: iteration 4 : 114 enodes (cost 212 ) 0.515 * * [simplify]: iteration 5 : 228 enodes (cost 212 ) 0.521 * * [simplify]: iteration 6 : 919 enodes (cost 212 ) 0.544 * * [simplify]: iteration 7 : 3184 enodes (cost 212 ) 0.625 * * [simplify]: iteration 8 : 5001 enodes (cost 212 ) 0.627 * [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)) 0.627 * * * [progress]: adding candidates to table 0.742 * * [progress]: iteration 2 / 4 0.742 * * * [progress]: picking best candidate 0.787 * * * * [pick]: Picked # 0.787 * * * [progress]: localizing error 0.805 * * * [progress]: generating rewritten candidates 0.805 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.805 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1 1) 0.812 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 2) 0.813 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1 2) 0.815 * * * [progress]: generating series expansions 0.815 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.816 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 0.816 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.816 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.816 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 0.816 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.817 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.817 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 0.817 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.818 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.818 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1 1) 0.818 * [approximate]: Taking taylor expansion of (pow (pow (sin (expm1 a)) 2) 1/3) in (a) around 0 0.818 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 a)) 2) 1/3) in a 0.818 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin (expm1 a)) 2)))) in a 0.818 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin (expm1 a)) 2))) in a 0.818 * [taylor]: Taking taylor expansion of 1/3 in a 0.818 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 a)) 2)) in a 0.818 * [taylor]: Taking taylor expansion of (pow (sin (expm1 a)) 2) in a 0.818 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.818 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.819 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 a)) 2) 1/3) in a 0.819 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin (expm1 a)) 2)))) in a 0.819 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin (expm1 a)) 2))) in a 0.819 * [taylor]: Taking taylor expansion of 1/3 in a 0.819 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 a)) 2)) in a 0.819 * [taylor]: Taking taylor expansion of (pow (sin (expm1 a)) 2) in a 0.819 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.819 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.878 * [approximate]: Taking taylor expansion of (pow (pow (sin (expm1 (/ 1 a))) 2) 1/3) in (a) around 0 0.878 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ 1 a))) 2) 1/3) in a 0.878 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin (expm1 (/ 1 a))) 2)))) in a 0.878 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin (expm1 (/ 1 a))) 2))) in a 0.878 * [taylor]: Taking taylor expansion of 1/3 in a 0.878 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ 1 a))) 2)) in a 0.878 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ 1 a))) 2) in a 0.878 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.878 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.879 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ 1 a))) 2) 1/3) in a 0.879 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin (expm1 (/ 1 a))) 2)))) in a 0.879 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin (expm1 (/ 1 a))) 2))) in a 0.879 * [taylor]: Taking taylor expansion of 1/3 in a 0.879 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ 1 a))) 2)) in a 0.879 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ 1 a))) 2) in a 0.879 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.879 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.937 * [approximate]: Taking taylor expansion of (pow (pow (sin (expm1 (/ -1 a))) 2) 1/3) in (a) around 0 0.938 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ -1 a))) 2) 1/3) in a 0.938 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin (expm1 (/ -1 a))) 2)))) in a 0.938 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin (expm1 (/ -1 a))) 2))) in a 0.938 * [taylor]: Taking taylor expansion of 1/3 in a 0.938 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ -1 a))) 2)) in a 0.938 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ -1 a))) 2) in a 0.938 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.938 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.938 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ -1 a))) 2) 1/3) in a 0.938 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin (expm1 (/ -1 a))) 2)))) in a 0.938 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin (expm1 (/ -1 a))) 2))) in a 0.938 * [taylor]: Taking taylor expansion of 1/3 in a 0.938 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ -1 a))) 2)) in a 0.939 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ -1 a))) 2) in a 0.939 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.939 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.995 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 2) 0.995 * [approximate]: Taking taylor expansion of (pow (sin (expm1 a)) 1/3) in (a) around 0 0.995 * [taylor]: Taking taylor expansion of (pow (sin (expm1 a)) 1/3) in a 0.995 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (expm1 a))))) in a 0.995 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (expm1 a)))) in a 0.995 * [taylor]: Taking taylor expansion of 1/3 in a 0.995 * [taylor]: Taking taylor expansion of (log (sin (expm1 a))) in a 0.995 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.996 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.996 * [taylor]: Taking taylor expansion of (pow (sin (expm1 a)) 1/3) in a 0.996 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (expm1 a))))) in a 0.996 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (expm1 a)))) in a 0.996 * [taylor]: Taking taylor expansion of 1/3 in a 0.996 * [taylor]: Taking taylor expansion of (log (sin (expm1 a))) in a 0.996 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.996 * [taylor]: Taking taylor expansion of (expm1 a) in a 1.048 * [approximate]: Taking taylor expansion of (pow (sin (expm1 (/ 1 a))) 1/3) in (a) around 0 1.048 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ 1 a))) 1/3) in a 1.048 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (expm1 (/ 1 a)))))) in a 1.048 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (expm1 (/ 1 a))))) in a 1.048 * [taylor]: Taking taylor expansion of 1/3 in a 1.048 * [taylor]: Taking taylor expansion of (log (sin (expm1 (/ 1 a)))) in a 1.048 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 1.048 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 1.049 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ 1 a))) 1/3) in a 1.049 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (expm1 (/ 1 a)))))) in a 1.049 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (expm1 (/ 1 a))))) in a 1.049 * [taylor]: Taking taylor expansion of 1/3 in a 1.049 * [taylor]: Taking taylor expansion of (log (sin (expm1 (/ 1 a)))) in a 1.049 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 1.049 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 1.101 * [approximate]: Taking taylor expansion of (pow (sin (expm1 (/ -1 a))) 1/3) in (a) around 0 1.101 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ -1 a))) 1/3) in a 1.101 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (expm1 (/ -1 a)))))) in a 1.101 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (expm1 (/ -1 a))))) in a 1.101 * [taylor]: Taking taylor expansion of 1/3 in a 1.101 * [taylor]: Taking taylor expansion of (log (sin (expm1 (/ -1 a)))) in a 1.101 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 1.101 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 1.101 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ -1 a))) 1/3) in a 1.101 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (expm1 (/ -1 a)))))) in a 1.101 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (expm1 (/ -1 a))))) in a 1.101 * [taylor]: Taking taylor expansion of 1/3 in a 1.101 * [taylor]: Taking taylor expansion of (log (sin (expm1 (/ -1 a)))) in a 1.101 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 1.101 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 1.151 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1 2) 1.151 * [approximate]: Taking taylor expansion of (pow (sin (expm1 a)) 1/3) in (a) around 0 1.151 * [taylor]: Taking taylor expansion of (pow (sin (expm1 a)) 1/3) in a 1.151 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (expm1 a))))) in a 1.151 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (expm1 a)))) in a 1.151 * [taylor]: Taking taylor expansion of 1/3 in a 1.151 * [taylor]: Taking taylor expansion of (log (sin (expm1 a))) in a 1.151 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 1.151 * [taylor]: Taking taylor expansion of (expm1 a) in a 1.151 * [taylor]: Taking taylor expansion of (pow (sin (expm1 a)) 1/3) in a 1.151 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (expm1 a))))) in a 1.151 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (expm1 a)))) in a 1.151 * [taylor]: Taking taylor expansion of 1/3 in a 1.151 * [taylor]: Taking taylor expansion of (log (sin (expm1 a))) in a 1.151 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 1.151 * [taylor]: Taking taylor expansion of (expm1 a) in a 1.204 * [approximate]: Taking taylor expansion of (pow (sin (expm1 (/ 1 a))) 1/3) in (a) around 0 1.204 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ 1 a))) 1/3) in a 1.204 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (expm1 (/ 1 a)))))) in a 1.204 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (expm1 (/ 1 a))))) in a 1.204 * [taylor]: Taking taylor expansion of 1/3 in a 1.204 * [taylor]: Taking taylor expansion of (log (sin (expm1 (/ 1 a)))) in a 1.204 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 1.204 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 1.205 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ 1 a))) 1/3) in a 1.205 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (expm1 (/ 1 a)))))) in a 1.205 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (expm1 (/ 1 a))))) in a 1.205 * [taylor]: Taking taylor expansion of 1/3 in a 1.205 * [taylor]: Taking taylor expansion of (log (sin (expm1 (/ 1 a)))) in a 1.205 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 1.205 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 1.258 * [approximate]: Taking taylor expansion of (pow (sin (expm1 (/ -1 a))) 1/3) in (a) around 0 1.258 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ -1 a))) 1/3) in a 1.258 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (expm1 (/ -1 a)))))) in a 1.258 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (expm1 (/ -1 a))))) in a 1.258 * [taylor]: Taking taylor expansion of 1/3 in a 1.258 * [taylor]: Taking taylor expansion of (log (sin (expm1 (/ -1 a)))) in a 1.258 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 1.258 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 1.258 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ -1 a))) 1/3) in a 1.258 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (expm1 (/ -1 a)))))) in a 1.258 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (expm1 (/ -1 a))))) in a 1.258 * [taylor]: Taking taylor expansion of 1/3 in a 1.258 * [taylor]: Taking taylor expansion of (log (sin (expm1 (/ -1 a)))) in a 1.258 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 1.259 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 1.308 * * * [progress]: simplifying candidates 1.310 * [simplify]: Simplifying using # : (log (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) a)) (exp (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) a)) (* (cbrt (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) a))) (cbrt (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) a)) (* (* (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) a) (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) a)) (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) a)) (+ 1/3 1/3) (+ 1 1) (* (sin (expm1 a)) (sin (expm1 a))) (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (+ 1 1) (+ (log (cbrt (sin (expm1 a)))) (log (cbrt (sin (expm1 a))))) (log (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (exp (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (* (sin (expm1 a)) (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))))) (* (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (sqrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (sqrt (* (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 (cbrt (sin (expm1 a))))) (* (cbrt (sqrt (sin (expm1 a)))) (cbrt (sqrt (sin (expm1 a))))) (* (cbrt (sqrt (sin (expm1 a)))) (cbrt (sqrt (sin (expm1 a))))) (* (cbrt 1) (cbrt 1)) (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (* (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a))))) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a))))) (* (sqrt (cbrt (sin (expm1 a)))) (sqrt (cbrt (sin (expm1 a))))) (* (sqrt (cbrt (sin (expm1 a)))) (sqrt (cbrt (sin (expm1 a))))) (* 1 1) (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (* (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))))) (* (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)))) (sqrt (cbrt (sin (expm1 a))))) (* (sqrt (cbrt (sin (expm1 a)))) (sqrt (cbrt (sin (expm1 a))))) (* 2 1/3) (* 2 1) (* (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))) (cbrt 1)) (* (cbrt (sin (expm1 a))) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (* (cbrt (sin (expm1 a))) (sqrt (cbrt (sin (expm1 a))))) (* (cbrt (sin (expm1 a))) 1) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a)))) (* (cbrt (sqrt (sin (expm1 a)))) (cbrt (sin (expm1 a)))) (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a)))) (* (sqrt (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a)))) (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (log (cbrt (sin (expm1 a)))) (exp (cbrt (sin (expm1 a)))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (cbrt (sin (expm1 a)))) (cbrt (sqrt (sin (expm1 a)))) (cbrt (sqrt (sin (expm1 a)))) (cbrt 1) (cbrt (sin (expm1 a))) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a))))) (cbrt (cbrt (sin (expm1 a)))) (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a)))) (sqrt (cbrt (sin (expm1 a)))) (sqrt (cbrt (sin (expm1 a)))) (log (cbrt (sin (expm1 a)))) (exp (cbrt (sin (expm1 a)))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (cbrt (sin (expm1 a)))) (cbrt (sqrt (sin (expm1 a)))) (cbrt (sqrt (sin (expm1 a)))) (cbrt 1) (cbrt (sin (expm1 a))) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a))))) (cbrt (cbrt (sin (expm1 a)))) (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a)))) (sqrt (cbrt (sin (expm1 a)))) (sqrt (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 (pow (sin (expm1 a)) 2) 1/3) (pow (pow (sin (expm1 a)) 2) 1/3) (pow (pow (sin (expm1 a)) 2) 1/3) (pow (sin (expm1 a)) 1/3) (pow (sin (expm1 a)) 1/3) (pow (sin (expm1 a)) 1/3) (pow (sin (expm1 a)) 1/3) (pow (sin (expm1 a)) 1/3) (pow (sin (expm1 a)) 1/3) 1.313 * * [simplify]: iteration 0 : 99 enodes (cost 673 ) 1.316 * * [simplify]: iteration 1 : 366 enodes (cost 578 ) 1.328 * * [simplify]: iteration 2 : 2587 enodes (cost 543 ) 1.383 * * [simplify]: iteration 3 : 5002 enodes (cost 526 ) 1.386 * [simplify]: Simplified to: (log (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) a)) (exp (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) a)) (* (cbrt (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) a))) (cbrt (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3) (sqrt (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) a)) 2/3 2 (pow (sin (expm1 a)) 2) (pow (sin (expm1 a)) 2/3) 2 (* 2/3 (log (sin (expm1 a)))) (* 2/3 (log (sin (expm1 a)))) (pow (exp 1) (pow (sin (expm1 a)) 2/3)) (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 (pow (sin (expm1 a)) 1/3)) (fabs (pow (sin (expm1 a)) 1/3)) (* (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 (sin (expm1 a)) 2/3) (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a))))) (pow (sin (expm1 a)) 1/3) (pow (sin (expm1 a)) 1/3) 1 (pow (sin (expm1 a)) 2/3) (* (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))))) (pow (sin (expm1 a)) 1/3) (pow (sin (expm1 a)) 1/3) 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))))) (pow (sin (expm1 a)) 1/3) (pow (cbrt (cbrt (sin (expm1 a)))) 5) (pow (sqrt (cbrt (sin (expm1 a)))) 3) (pow (sin (expm1 a)) 1/3) (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (sin (expm1 a))) (cbrt (sqrt (sin (expm1 a))))) (pow (sin (expm1 a)) 2/3) (pow (cbrt (cbrt (sin (expm1 a)))) 4) (pow (sqrt (cbrt (sin (expm1 a)))) 3) (pow (sin (expm1 a)) 2/3) (log (cbrt (sin (expm1 a)))) (exp (cbrt (sin (expm1 a)))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (cbrt (sin (expm1 a)))) (cbrt (sqrt (sin (expm1 a)))) (cbrt (sqrt (sin (expm1 a)))) 1 (pow (sin (expm1 a)) 1/3) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a))))) (cbrt (cbrt (sin (expm1 a)))) (sin (expm1 a)) (sqrt (cbrt (sin (expm1 a)))) (sqrt (cbrt (sin (expm1 a)))) (log (cbrt (sin (expm1 a)))) (exp (cbrt (sin (expm1 a)))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (cbrt (sin (expm1 a)))) (cbrt (sqrt (sin (expm1 a)))) (cbrt (sqrt (sin (expm1 a)))) 1 (pow (sin (expm1 a)) 1/3) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a))))) (cbrt (cbrt (sin (expm1 a)))) (sin (expm1 a)) (sqrt (cbrt (sin (expm1 a)))) (sqrt (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 (sin (expm1 a)) 2/3) (pow (sin (expm1 a)) 2/3) (pow (sin (expm1 a)) 2/3) (pow (sin (expm1 a)) 1/3) (pow (sin (expm1 a)) 1/3) (pow (sin (expm1 a)) 1/3) (pow (sin (expm1 a)) 1/3) (pow (sin (expm1 a)) 1/3) (pow (sin (expm1 a)) 1/3) 1.386 * * * [progress]: adding candidates to table 1.629 * * [progress]: iteration 3 / 4 1.629 * * * [progress]: picking best candidate 1.728 * * * * [pick]: Picked # 1.728 * * * [progress]: localizing error 1.753 * * * [progress]: generating rewritten candidates 1.753 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.754 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1 1 2) 1.757 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 1 1 2) 1.760 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1 1 1) 1.763 * * * [progress]: generating series expansions 1.763 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.764 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 1.764 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.764 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.765 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 1.765 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.765 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.766 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 1.766 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.766 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.767 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1 1 2) 1.767 * [approximate]: Taking taylor expansion of (pow (pow (sin (expm1 a)) 2) 1/9) in (a) around 0 1.767 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 a)) 2) 1/9) in a 1.767 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 a)) 2)))) in a 1.767 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 a)) 2))) in a 1.767 * [taylor]: Taking taylor expansion of 1/9 in a 1.767 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 a)) 2)) in a 1.767 * [taylor]: Taking taylor expansion of (pow (sin (expm1 a)) 2) in a 1.767 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 1.767 * [taylor]: Taking taylor expansion of (expm1 a) in a 1.768 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 a)) 2) 1/9) in a 1.768 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 a)) 2)))) in a 1.768 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 a)) 2))) in a 1.768 * [taylor]: Taking taylor expansion of 1/9 in a 1.768 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 a)) 2)) in a 1.768 * [taylor]: Taking taylor expansion of (pow (sin (expm1 a)) 2) in a 1.768 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 1.768 * [taylor]: Taking taylor expansion of (expm1 a) in a 1.826 * [approximate]: Taking taylor expansion of (pow (pow (sin (expm1 (/ 1 a))) 2) 1/9) in (a) around 0 1.826 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ 1 a))) 2) 1/9) in a 1.826 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 (/ 1 a))) 2)))) in a 1.826 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 (/ 1 a))) 2))) in a 1.826 * [taylor]: Taking taylor expansion of 1/9 in a 1.826 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ 1 a))) 2)) in a 1.826 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ 1 a))) 2) in a 1.826 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 1.827 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 1.827 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ 1 a))) 2) 1/9) in a 1.827 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 (/ 1 a))) 2)))) in a 1.827 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 (/ 1 a))) 2))) in a 1.827 * [taylor]: Taking taylor expansion of 1/9 in a 1.827 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ 1 a))) 2)) in a 1.827 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ 1 a))) 2) in a 1.827 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 1.827 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 1.883 * [approximate]: Taking taylor expansion of (pow (pow (sin (expm1 (/ -1 a))) 2) 1/9) in (a) around 0 1.883 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ -1 a))) 2) 1/9) in a 1.883 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 (/ -1 a))) 2)))) in a 1.883 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 (/ -1 a))) 2))) in a 1.883 * [taylor]: Taking taylor expansion of 1/9 in a 1.883 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ -1 a))) 2)) in a 1.883 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ -1 a))) 2) in a 1.883 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 1.883 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 1.884 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ -1 a))) 2) 1/9) in a 1.884 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 (/ -1 a))) 2)))) in a 1.884 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 (/ -1 a))) 2))) in a 1.884 * [taylor]: Taking taylor expansion of 1/9 in a 1.884 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ -1 a))) 2)) in a 1.884 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ -1 a))) 2) in a 1.884 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 1.884 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 1.942 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 1 1 2) 1.942 * [approximate]: Taking taylor expansion of (pow (pow (sin (expm1 a)) 2) 1/9) in (a) around 0 1.942 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 a)) 2) 1/9) in a 1.942 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 a)) 2)))) in a 1.942 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 a)) 2))) in a 1.942 * [taylor]: Taking taylor expansion of 1/9 in a 1.942 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 a)) 2)) in a 1.942 * [taylor]: Taking taylor expansion of (pow (sin (expm1 a)) 2) in a 1.942 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 1.942 * [taylor]: Taking taylor expansion of (expm1 a) in a 1.943 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 a)) 2) 1/9) in a 1.943 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 a)) 2)))) in a 1.943 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 a)) 2))) in a 1.943 * [taylor]: Taking taylor expansion of 1/9 in a 1.943 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 a)) 2)) in a 1.943 * [taylor]: Taking taylor expansion of (pow (sin (expm1 a)) 2) in a 1.943 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 1.943 * [taylor]: Taking taylor expansion of (expm1 a) in a 2.000 * [approximate]: Taking taylor expansion of (pow (pow (sin (expm1 (/ 1 a))) 2) 1/9) in (a) around 0 2.000 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ 1 a))) 2) 1/9) in a 2.000 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 (/ 1 a))) 2)))) in a 2.000 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 (/ 1 a))) 2))) in a 2.000 * [taylor]: Taking taylor expansion of 1/9 in a 2.000 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ 1 a))) 2)) in a 2.000 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ 1 a))) 2) in a 2.000 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 2.000 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 2.001 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ 1 a))) 2) 1/9) in a 2.001 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 (/ 1 a))) 2)))) in a 2.001 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 (/ 1 a))) 2))) in a 2.001 * [taylor]: Taking taylor expansion of 1/9 in a 2.001 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ 1 a))) 2)) in a 2.001 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ 1 a))) 2) in a 2.001 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 2.001 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 2.056 * [approximate]: Taking taylor expansion of (pow (pow (sin (expm1 (/ -1 a))) 2) 1/9) in (a) around 0 2.056 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ -1 a))) 2) 1/9) in a 2.057 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 (/ -1 a))) 2)))) in a 2.057 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 (/ -1 a))) 2))) in a 2.057 * [taylor]: Taking taylor expansion of 1/9 in a 2.057 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ -1 a))) 2)) in a 2.057 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ -1 a))) 2) in a 2.057 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 2.057 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 2.057 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ -1 a))) 2) 1/9) in a 2.057 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 (/ -1 a))) 2)))) in a 2.057 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 (/ -1 a))) 2))) in a 2.057 * [taylor]: Taking taylor expansion of 1/9 in a 2.057 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ -1 a))) 2)) in a 2.057 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ -1 a))) 2) in a 2.057 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 2.057 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 2.116 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1 1 1) 2.116 * [approximate]: Taking taylor expansion of (pow (pow (sin (expm1 a)) 2) 1/9) in (a) around 0 2.116 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 a)) 2) 1/9) in a 2.116 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 a)) 2)))) in a 2.116 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 a)) 2))) in a 2.116 * [taylor]: Taking taylor expansion of 1/9 in a 2.116 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 a)) 2)) in a 2.116 * [taylor]: Taking taylor expansion of (pow (sin (expm1 a)) 2) in a 2.116 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 2.116 * [taylor]: Taking taylor expansion of (expm1 a) in a 2.117 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 a)) 2) 1/9) in a 2.117 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 a)) 2)))) in a 2.117 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 a)) 2))) in a 2.117 * [taylor]: Taking taylor expansion of 1/9 in a 2.117 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 a)) 2)) in a 2.117 * [taylor]: Taking taylor expansion of (pow (sin (expm1 a)) 2) in a 2.117 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 2.117 * [taylor]: Taking taylor expansion of (expm1 a) in a 2.174 * [approximate]: Taking taylor expansion of (pow (pow (sin (expm1 (/ 1 a))) 2) 1/9) in (a) around 0 2.174 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ 1 a))) 2) 1/9) in a 2.174 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 (/ 1 a))) 2)))) in a 2.174 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 (/ 1 a))) 2))) in a 2.174 * [taylor]: Taking taylor expansion of 1/9 in a 2.174 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ 1 a))) 2)) in a 2.174 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ 1 a))) 2) in a 2.174 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 2.174 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 2.175 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ 1 a))) 2) 1/9) in a 2.175 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 (/ 1 a))) 2)))) in a 2.175 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 (/ 1 a))) 2))) in a 2.175 * [taylor]: Taking taylor expansion of 1/9 in a 2.175 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ 1 a))) 2)) in a 2.175 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ 1 a))) 2) in a 2.175 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 2.175 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 2.233 * [approximate]: Taking taylor expansion of (pow (pow (sin (expm1 (/ -1 a))) 2) 1/9) in (a) around 0 2.233 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ -1 a))) 2) 1/9) in a 2.233 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 (/ -1 a))) 2)))) in a 2.233 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 (/ -1 a))) 2))) in a 2.233 * [taylor]: Taking taylor expansion of 1/9 in a 2.233 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ -1 a))) 2)) in a 2.233 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ -1 a))) 2) in a 2.233 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 2.233 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 2.234 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ -1 a))) 2) 1/9) in a 2.234 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 (/ -1 a))) 2)))) in a 2.234 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 (/ -1 a))) 2))) in a 2.234 * [taylor]: Taking taylor expansion of 1/9 in a 2.234 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ -1 a))) 2)) in a 2.234 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ -1 a))) 2) in a 2.234 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 2.234 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 2.290 * * * [progress]: simplifying candidates 2.291 * [simplify]: Simplifying using # : (log (fmod (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)) a)) (exp (fmod (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)) a)) (* (cbrt (fmod (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)) a)) (cbrt (fmod (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)) a))) (cbrt (fmod (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)) a)) (* (* (fmod (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)) a) (fmod (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)) a)) (fmod (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)) a)) (sqrt (fmod (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)) a)) (sqrt (fmod (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)) 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)))))) (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 (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) (pow (pow (sin (expm1 a)) 2) 1/9) (pow (pow (sin (expm1 a)) 2) 1/9) (pow (pow (sin (expm1 a)) 2) 1/9) 2.295 * * [simplify]: iteration 0 : 45 enodes (cost 698 ) 2.296 * * [simplify]: iteration 1 : 70 enodes (cost 578 ) 2.298 * * [simplify]: iteration 2 : 141 enodes (cost 572 ) 2.301 * * [simplify]: iteration 3 : 323 enodes (cost 572 ) 2.314 * * [simplify]: iteration 4 : 1214 enodes (cost 572 ) 2.378 * * [simplify]: iteration 5 : 5001 enodes (cost 544 ) 2.380 * [simplify]: Simplified to: (log (fmod (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)) a)) (exp (fmod (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)) a)) (* (cbrt (fmod (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)) a)) (cbrt (fmod (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)) a))) (cbrt (fmod (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)) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3) (sqrt (fmod (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)) a)) (sqrt (fmod (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)) 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)))))) (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 (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) (pow (pow (sin (expm1 a)) 2) 1/9) (pow (pow (sin (expm1 a)) 2) 1/9) (pow (pow (sin (expm1 a)) 2) 1/9) 2.380 * * * [progress]: adding candidates to table 2.552 * * [progress]: iteration 4 / 4 2.552 * * * [progress]: picking best candidate 2.671 * * * * [pick]: Picked # 2.671 * * * [progress]: localizing error 2.699 * * * [progress]: generating rewritten candidates 2.699 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 2.699 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1 1 2) 2.703 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 1 2 1 1) 2.706 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1 1 2) 2.710 * * * [progress]: generating series expansions 2.710 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 2.710 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 2.710 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.711 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.712 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 2.712 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.712 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.713 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 2.713 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 2.713 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 2.714 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1 1 2) 2.714 * [approximate]: Taking taylor expansion of (pow (pow (sin (expm1 a)) 2) 1/9) in (a) around 0 2.714 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 a)) 2) 1/9) in a 2.714 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 a)) 2)))) in a 2.714 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 a)) 2))) in a 2.714 * [taylor]: Taking taylor expansion of 1/9 in a 2.714 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 a)) 2)) in a 2.714 * [taylor]: Taking taylor expansion of (pow (sin (expm1 a)) 2) in a 2.714 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 2.714 * [taylor]: Taking taylor expansion of (expm1 a) in a 2.715 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 a)) 2) 1/9) in a 2.715 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 a)) 2)))) in a 2.715 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 a)) 2))) in a 2.715 * [taylor]: Taking taylor expansion of 1/9 in a 2.715 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 a)) 2)) in a 2.715 * [taylor]: Taking taylor expansion of (pow (sin (expm1 a)) 2) in a 2.715 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 2.715 * [taylor]: Taking taylor expansion of (expm1 a) in a 2.773 * [approximate]: Taking taylor expansion of (pow (pow (sin (expm1 (/ 1 a))) 2) 1/9) in (a) around 0 2.773 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ 1 a))) 2) 1/9) in a 2.773 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 (/ 1 a))) 2)))) in a 2.773 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 (/ 1 a))) 2))) in a 2.773 * [taylor]: Taking taylor expansion of 1/9 in a 2.773 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ 1 a))) 2)) in a 2.773 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ 1 a))) 2) in a 2.773 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 2.773 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 2.774 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ 1 a))) 2) 1/9) in a 2.774 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 (/ 1 a))) 2)))) in a 2.774 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 (/ 1 a))) 2))) in a 2.774 * [taylor]: Taking taylor expansion of 1/9 in a 2.774 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ 1 a))) 2)) in a 2.774 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ 1 a))) 2) in a 2.774 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 2.774 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 2.833 * [approximate]: Taking taylor expansion of (pow (pow (sin (expm1 (/ -1 a))) 2) 1/9) in (a) around 0 2.833 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ -1 a))) 2) 1/9) in a 2.833 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 (/ -1 a))) 2)))) in a 2.833 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 (/ -1 a))) 2))) in a 2.833 * [taylor]: Taking taylor expansion of 1/9 in a 2.833 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ -1 a))) 2)) in a 2.833 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ -1 a))) 2) in a 2.833 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 2.833 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 2.834 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ -1 a))) 2) 1/9) in a 2.834 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 (/ -1 a))) 2)))) in a 2.834 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 (/ -1 a))) 2))) in a 2.834 * [taylor]: Taking taylor expansion of 1/9 in a 2.834 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ -1 a))) 2)) in a 2.834 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ -1 a))) 2) in a 2.834 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 2.834 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 2.889 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 1 2 1 1) 2.889 * [approximate]: Taking taylor expansion of (pow (pow (sin (expm1 a)) 2) 1/9) in (a) around 0 2.889 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 a)) 2) 1/9) in a 2.889 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 a)) 2)))) in a 2.889 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 a)) 2))) in a 2.889 * [taylor]: Taking taylor expansion of 1/9 in a 2.889 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 a)) 2)) in a 2.889 * [taylor]: Taking taylor expansion of (pow (sin (expm1 a)) 2) in a 2.889 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 2.889 * [taylor]: Taking taylor expansion of (expm1 a) in a 2.890 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 a)) 2) 1/9) in a 2.890 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 a)) 2)))) in a 2.890 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 a)) 2))) in a 2.890 * [taylor]: Taking taylor expansion of 1/9 in a 2.890 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 a)) 2)) in a 2.890 * [taylor]: Taking taylor expansion of (pow (sin (expm1 a)) 2) in a 2.890 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 2.890 * [taylor]: Taking taylor expansion of (expm1 a) in a 2.947 * [approximate]: Taking taylor expansion of (pow (pow (sin (expm1 (/ 1 a))) 2) 1/9) in (a) around 0 2.947 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ 1 a))) 2) 1/9) in a 2.947 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 (/ 1 a))) 2)))) in a 2.947 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 (/ 1 a))) 2))) in a 2.947 * [taylor]: Taking taylor expansion of 1/9 in a 2.947 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ 1 a))) 2)) in a 2.947 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ 1 a))) 2) in a 2.947 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 2.947 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 2.948 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ 1 a))) 2) 1/9) in a 2.948 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 (/ 1 a))) 2)))) in a 2.948 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 (/ 1 a))) 2))) in a 2.948 * [taylor]: Taking taylor expansion of 1/9 in a 2.948 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ 1 a))) 2)) in a 2.948 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ 1 a))) 2) in a 2.948 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 2.948 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 3.008 * [approximate]: Taking taylor expansion of (pow (pow (sin (expm1 (/ -1 a))) 2) 1/9) in (a) around 0 3.008 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ -1 a))) 2) 1/9) in a 3.008 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 (/ -1 a))) 2)))) in a 3.008 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 (/ -1 a))) 2))) in a 3.008 * [taylor]: Taking taylor expansion of 1/9 in a 3.008 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ -1 a))) 2)) in a 3.008 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ -1 a))) 2) in a 3.008 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 3.008 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 3.009 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ -1 a))) 2) 1/9) in a 3.009 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 (/ -1 a))) 2)))) in a 3.009 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 (/ -1 a))) 2))) in a 3.009 * [taylor]: Taking taylor expansion of 1/9 in a 3.009 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ -1 a))) 2)) in a 3.009 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ -1 a))) 2) in a 3.009 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 3.009 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 3.068 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1 1 2) 3.068 * [approximate]: Taking taylor expansion of (pow (pow (sin (expm1 a)) 2) 1/9) in (a) around 0 3.068 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 a)) 2) 1/9) in a 3.068 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 a)) 2)))) in a 3.068 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 a)) 2))) in a 3.068 * [taylor]: Taking taylor expansion of 1/9 in a 3.068 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 a)) 2)) in a 3.068 * [taylor]: Taking taylor expansion of (pow (sin (expm1 a)) 2) in a 3.068 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 3.068 * [taylor]: Taking taylor expansion of (expm1 a) in a 3.069 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 a)) 2) 1/9) in a 3.069 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 a)) 2)))) in a 3.069 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 a)) 2))) in a 3.069 * [taylor]: Taking taylor expansion of 1/9 in a 3.069 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 a)) 2)) in a 3.069 * [taylor]: Taking taylor expansion of (pow (sin (expm1 a)) 2) in a 3.069 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 3.069 * [taylor]: Taking taylor expansion of (expm1 a) in a 3.124 * [approximate]: Taking taylor expansion of (pow (pow (sin (expm1 (/ 1 a))) 2) 1/9) in (a) around 0 3.124 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ 1 a))) 2) 1/9) in a 3.124 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 (/ 1 a))) 2)))) in a 3.124 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 (/ 1 a))) 2))) in a 3.124 * [taylor]: Taking taylor expansion of 1/9 in a 3.124 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ 1 a))) 2)) in a 3.124 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ 1 a))) 2) in a 3.124 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 3.124 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 3.125 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ 1 a))) 2) 1/9) in a 3.125 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 (/ 1 a))) 2)))) in a 3.125 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 (/ 1 a))) 2))) in a 3.125 * [taylor]: Taking taylor expansion of 1/9 in a 3.125 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ 1 a))) 2)) in a 3.125 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ 1 a))) 2) in a 3.125 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 3.125 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 3.187 * [approximate]: Taking taylor expansion of (pow (pow (sin (expm1 (/ -1 a))) 2) 1/9) in (a) around 0 3.187 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ -1 a))) 2) 1/9) in a 3.187 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 (/ -1 a))) 2)))) in a 3.187 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 (/ -1 a))) 2))) in a 3.187 * [taylor]: Taking taylor expansion of 1/9 in a 3.187 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ -1 a))) 2)) in a 3.188 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ -1 a))) 2) in a 3.188 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 3.188 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 3.188 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ -1 a))) 2) 1/9) in a 3.188 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 (/ -1 a))) 2)))) in a 3.188 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 (/ -1 a))) 2))) in a 3.188 * [taylor]: Taking taylor expansion of 1/9 in a 3.188 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ -1 a))) 2)) in a 3.188 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ -1 a))) 2) in a 3.188 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 3.188 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 3.249 * * * [progress]: simplifying candidates 3.250 * [simplify]: Simplifying using # : (log (fmod (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (exp (log (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))))) (cbrt (sin (expm1 a))))) (atan a)) a)) (exp (fmod (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (exp (log (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))))) (cbrt (sin (expm1 a))))) (atan a)) a)) (* (cbrt (fmod (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (exp (log (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))))) (cbrt (sin (expm1 a))))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (exp (log (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))))) (cbrt (sin (expm1 a))))) (atan a)) a))) (cbrt (fmod (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (exp (log (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))))) (cbrt (sin (expm1 a))))) (atan a)) a)) (* (* (fmod (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (exp (log (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))))) (cbrt (sin (expm1 a))))) (atan a)) a) (fmod (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (exp (log (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))))) (cbrt (sin (expm1 a))))) (atan a)) a)) (fmod (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (exp (log (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))))) (cbrt (sin (expm1 a))))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (exp (log (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))))) (cbrt (sin (expm1 a))))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (exp (log (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))))) (cbrt (sin (expm1 a))))) (atan a)) a)) (exp 1/3) (exp 1) (exp (* (cbrt (log (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))))) (cbrt (log (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))))))) (exp (sqrt (log (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))))) (exp 1) (exp (log (cbrt (cbrt (sin (expm1 a)))))) (exp (log (cbrt (cbrt (sin (expm1 a)))))) (exp (log (* (cbrt (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))))))) (exp (log (cbrt (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))))) (exp (log (sqrt (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))))) (exp (log (sqrt (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))))) (exp (log 1)) (exp (log (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))))) (log (exp (log (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))))) (exp (exp (log (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))))) (* (cbrt (exp (log (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))))) (cbrt (exp (log (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))))))) (cbrt (exp (log (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))))) (* (* (exp (log (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))))) (exp (log (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))))) (exp (log (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))))) (sqrt (exp (log (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))))) (sqrt (exp (log (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)))))) (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 (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) (pow (pow (sin (expm1 a)) 2) 1/9) (pow (pow (sin (expm1 a)) 2) 1/9) (pow (pow (sin (expm1 a)) 2) 1/9) 3.254 * * [simplify]: iteration 0 : 85 enodes (cost 806 ) 3.256 * * [simplify]: iteration 1 : 130 enodes (cost 682 ) 3.258 * * [simplify]: iteration 2 : 234 enodes (cost 648 ) 3.262 * * [simplify]: iteration 3 : 567 enodes (cost 640 ) 3.282 * * [simplify]: iteration 4 : 2411 enodes (cost 640 ) 3.362 * * [simplify]: iteration 5 : 5002 enodes (cost 610 ) 3.365 * [simplify]: Simplified to: (log (fmod (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (exp (log (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))))) (cbrt (sin (expm1 a))))) (atan a)) a)) (exp (fmod (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (exp (log (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))))) (cbrt (sin (expm1 a))))) (atan a)) a)) (* (cbrt (fmod (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (exp (log (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))))) (cbrt (sin (expm1 a))))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (exp (log (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))))) (cbrt (sin (expm1 a))))) (atan a)) a))) (cbrt (fmod (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (exp (log (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))))) (cbrt (sin (expm1 a))))) (atan a)) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3) (sqrt (fmod (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (exp (log (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))))) (cbrt (sin (expm1 a))))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (exp (log (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))))) (cbrt (sin (expm1 a))))) (atan a)) a)) (exp 1/3) E (exp (* (cbrt (log (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))))) (cbrt (log (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))))))) (exp (sqrt (log (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))))) E (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))) (pow (cbrt (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) 2) (cbrt (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)))))) 1 (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)))))) (pow (cbrt (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) 2) (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)))) (pow (cbrt (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) 2) (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)))) (pow (cbrt (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) 2) (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 (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) (pow (pow (sin (expm1 a)) 2) 1/9) (pow (pow (sin (expm1 a)) 2) 1/9) (pow (pow (sin (expm1 a)) 2) 1/9) 3.366 * * * [progress]: adding candidates to table 3.569 * [progress]: [Phase 3 of 3] Extracting. 3.569 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # #) 3.592 * * * [regime-changes]: Trying 3 branch expressions: ((fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fabs (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) a) 3.592 * * * * [regimes]: Trying to branch on (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) from (# # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # #) 3.818 * * * * [regimes]: Trying to branch on (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) from (# # # # #) 3.865 * * * * [regimes]: Trying to branch on (fabs (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) from (# # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # #) 4.094 * * * * [regimes]: Trying to branch on a from (# # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # #) 4.301 * * * [regime]: Found split indices: #