0.014 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.376 * * * [progress]: [2/2] Setting up program. 0.379 * [progress]: [Phase 2 of 3] Improving. 0.380 * [simplify]: Simplifying using # : (fabs (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) 0.382 * * [simplify]: iteration 0 : 8 enodes (cost 7 ) 0.382 * [simplify]: Simplified to: (fabs (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) 0.382 * * [progress]: iteration 1 / 4 0.382 * * * [progress]: picking best candidate 0.385 * * * * [pick]: Picked # 0.385 * * * [progress]: localizing error 0.403 * * * [progress]: generating rewritten candidates 0.403 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.404 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 0.404 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 0.406 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.407 * * * [progress]: generating series expansions 0.407 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.407 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 0.407 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.407 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.408 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 0.408 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.408 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.408 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 0.409 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.409 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.409 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 0.409 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 a))) in (a) around 0 0.409 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 a))) in a 0.409 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 a))) in a 0.410 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in (a) around 0 0.410 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in a 0.410 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in a 0.410 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in (a) around 0 0.410 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in a 0.410 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in a 0.410 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 0.410 * [approximate]: Taking taylor expansion of (sin (expm1 a)) in (a) around 0 0.410 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.410 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.411 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.411 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.428 * [approximate]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in (a) around 0 0.428 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.429 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.429 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.429 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.447 * [approximate]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in (a) around 0 0.447 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.447 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.447 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.447 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.465 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.465 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in (a) around 0 0.465 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.465 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.465 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in (a) around 0 0.465 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.466 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.466 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in (a) around 0 0.466 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 0.466 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 0.467 * * * [progress]: simplifying candidates 0.467 * [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 (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 (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 (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) (expm1 (sin (expm1 a))) (expm1 (sin (expm1 a))) (expm1 (sin (expm1 a))) (sin (expm1 a)) (sin (expm1 a)) (sin (expm1 a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) 0.470 * * [simplify]: iteration 0 : 39 enodes (cost 248 ) 0.471 * * [simplify]: iteration 1 : 44 enodes (cost 212 ) 0.473 * * [simplify]: iteration 2 : 54 enodes (cost 212 ) 0.474 * * [simplify]: iteration 3 : 68 enodes (cost 212 ) 0.476 * * [simplify]: iteration 4 : 114 enodes (cost 212 ) 0.478 * * [simplify]: iteration 5 : 228 enodes (cost 212 ) 0.484 * * [simplify]: iteration 6 : 919 enodes (cost 212 ) 0.505 * * [simplify]: iteration 7 : 3184 enodes (cost 212 ) 0.583 * * [simplify]: iteration 8 : 5001 enodes (cost 212 ) 0.585 * [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 (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 (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 (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) (expm1 (sin (expm1 a))) (expm1 (sin (expm1 a))) (expm1 (sin (expm1 a))) (sin (expm1 a)) (sin (expm1 a)) (sin (expm1 a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) 0.585 * * * [progress]: adding candidates to table 0.702 * * [progress]: iteration 2 / 4 0.702 * * * [progress]: picking best candidate 0.745 * * * * [pick]: Picked # 0.746 * * * [progress]: localizing error 0.763 * * * [progress]: generating rewritten candidates 0.763 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.764 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 2) 0.765 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 2) 0.766 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1) 0.768 * * * [progress]: generating series expansions 0.768 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.768 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 0.769 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.769 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.769 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 0.769 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.769 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.770 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 0.770 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.770 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.771 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 2) 0.771 * [approximate]: Taking taylor expansion of (pow (expm1 (sin (expm1 a))) 1/3) in (a) around 0 0.771 * [taylor]: Taking taylor expansion of (pow (expm1 (sin (expm1 a))) 1/3) in a 0.771 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (expm1 (sin (expm1 a)))))) in a 0.771 * [taylor]: Taking taylor expansion of (* 1/3 (log (expm1 (sin (expm1 a))))) in a 0.771 * [taylor]: Taking taylor expansion of 1/3 in a 0.771 * [taylor]: Taking taylor expansion of (log (expm1 (sin (expm1 a)))) in a 0.771 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 a))) in a 0.771 * [taylor]: Taking taylor expansion of (pow (expm1 (sin (expm1 a))) 1/3) in a 0.771 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (expm1 (sin (expm1 a)))))) in a 0.771 * [taylor]: Taking taylor expansion of (* 1/3 (log (expm1 (sin (expm1 a))))) in a 0.771 * [taylor]: Taking taylor expansion of 1/3 in a 0.771 * [taylor]: Taking taylor expansion of (log (expm1 (sin (expm1 a)))) in a 0.771 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 a))) in a 0.805 * [approximate]: Taking taylor expansion of (pow (expm1 (sin (expm1 (/ 1 a)))) 1/3) in (a) around 0 0.805 * [taylor]: Taking taylor expansion of (pow (expm1 (sin (expm1 (/ 1 a)))) 1/3) in a 0.805 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (expm1 (sin (expm1 (/ 1 a))))))) in a 0.805 * [taylor]: Taking taylor expansion of (* 1/3 (log (expm1 (sin (expm1 (/ 1 a)))))) in a 0.805 * [taylor]: Taking taylor expansion of 1/3 in a 0.805 * [taylor]: Taking taylor expansion of (log (expm1 (sin (expm1 (/ 1 a))))) in a 0.805 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in a 0.805 * [taylor]: Taking taylor expansion of (pow (expm1 (sin (expm1 (/ 1 a)))) 1/3) in a 0.805 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (expm1 (sin (expm1 (/ 1 a))))))) in a 0.805 * [taylor]: Taking taylor expansion of (* 1/3 (log (expm1 (sin (expm1 (/ 1 a)))))) in a 0.805 * [taylor]: Taking taylor expansion of 1/3 in a 0.805 * [taylor]: Taking taylor expansion of (log (expm1 (sin (expm1 (/ 1 a))))) in a 0.805 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in a 0.842 * [approximate]: Taking taylor expansion of (pow (expm1 (sin (expm1 (/ -1 a)))) 1/3) in (a) around 0 0.842 * [taylor]: Taking taylor expansion of (pow (expm1 (sin (expm1 (/ -1 a)))) 1/3) in a 0.842 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (expm1 (sin (expm1 (/ -1 a))))))) in a 0.842 * [taylor]: Taking taylor expansion of (* 1/3 (log (expm1 (sin (expm1 (/ -1 a)))))) in a 0.842 * [taylor]: Taking taylor expansion of 1/3 in a 0.842 * [taylor]: Taking taylor expansion of (log (expm1 (sin (expm1 (/ -1 a))))) in a 0.842 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in a 0.843 * [taylor]: Taking taylor expansion of (pow (expm1 (sin (expm1 (/ -1 a)))) 1/3) in a 0.843 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (expm1 (sin (expm1 (/ -1 a))))))) in a 0.843 * [taylor]: Taking taylor expansion of (* 1/3 (log (expm1 (sin (expm1 (/ -1 a)))))) in a 0.843 * [taylor]: Taking taylor expansion of 1/3 in a 0.843 * [taylor]: Taking taylor expansion of (log (expm1 (sin (expm1 (/ -1 a))))) in a 0.843 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in a 0.876 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 2) 0.876 * [approximate]: Taking taylor expansion of (pow (expm1 (sin (expm1 a))) 1/3) in (a) around 0 0.876 * [taylor]: Taking taylor expansion of (pow (expm1 (sin (expm1 a))) 1/3) in a 0.877 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (expm1 (sin (expm1 a)))))) in a 0.877 * [taylor]: Taking taylor expansion of (* 1/3 (log (expm1 (sin (expm1 a))))) in a 0.877 * [taylor]: Taking taylor expansion of 1/3 in a 0.877 * [taylor]: Taking taylor expansion of (log (expm1 (sin (expm1 a)))) in a 0.877 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 a))) in a 0.877 * [taylor]: Taking taylor expansion of (pow (expm1 (sin (expm1 a))) 1/3) in a 0.877 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (expm1 (sin (expm1 a)))))) in a 0.877 * [taylor]: Taking taylor expansion of (* 1/3 (log (expm1 (sin (expm1 a))))) in a 0.877 * [taylor]: Taking taylor expansion of 1/3 in a 0.877 * [taylor]: Taking taylor expansion of (log (expm1 (sin (expm1 a)))) in a 0.877 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 a))) in a 0.915 * [approximate]: Taking taylor expansion of (pow (expm1 (sin (expm1 (/ 1 a)))) 1/3) in (a) around 0 0.915 * [taylor]: Taking taylor expansion of (pow (expm1 (sin (expm1 (/ 1 a)))) 1/3) in a 0.915 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (expm1 (sin (expm1 (/ 1 a))))))) in a 0.915 * [taylor]: Taking taylor expansion of (* 1/3 (log (expm1 (sin (expm1 (/ 1 a)))))) in a 0.915 * [taylor]: Taking taylor expansion of 1/3 in a 0.915 * [taylor]: Taking taylor expansion of (log (expm1 (sin (expm1 (/ 1 a))))) in a 0.915 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in a 0.916 * [taylor]: Taking taylor expansion of (pow (expm1 (sin (expm1 (/ 1 a)))) 1/3) in a 0.916 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (expm1 (sin (expm1 (/ 1 a))))))) in a 0.916 * [taylor]: Taking taylor expansion of (* 1/3 (log (expm1 (sin (expm1 (/ 1 a)))))) in a 0.916 * [taylor]: Taking taylor expansion of 1/3 in a 0.916 * [taylor]: Taking taylor expansion of (log (expm1 (sin (expm1 (/ 1 a))))) in a 0.916 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in a 0.949 * [approximate]: Taking taylor expansion of (pow (expm1 (sin (expm1 (/ -1 a)))) 1/3) in (a) around 0 0.949 * [taylor]: Taking taylor expansion of (pow (expm1 (sin (expm1 (/ -1 a)))) 1/3) in a 0.949 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (expm1 (sin (expm1 (/ -1 a))))))) in a 0.949 * [taylor]: Taking taylor expansion of (* 1/3 (log (expm1 (sin (expm1 (/ -1 a)))))) in a 0.949 * [taylor]: Taking taylor expansion of 1/3 in a 0.949 * [taylor]: Taking taylor expansion of (log (expm1 (sin (expm1 (/ -1 a))))) in a 0.949 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in a 0.949 * [taylor]: Taking taylor expansion of (pow (expm1 (sin (expm1 (/ -1 a)))) 1/3) in a 0.949 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (expm1 (sin (expm1 (/ -1 a))))))) in a 0.949 * [taylor]: Taking taylor expansion of (* 1/3 (log (expm1 (sin (expm1 (/ -1 a)))))) in a 0.949 * [taylor]: Taking taylor expansion of 1/3 in a 0.949 * [taylor]: Taking taylor expansion of (log (expm1 (sin (expm1 (/ -1 a))))) in a 0.950 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in a 0.982 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1) 0.982 * [approximate]: Taking taylor expansion of (pow (expm1 (sin (expm1 a))) 1/3) in (a) around 0 0.982 * [taylor]: Taking taylor expansion of (pow (expm1 (sin (expm1 a))) 1/3) in a 0.982 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (expm1 (sin (expm1 a)))))) in a 0.982 * [taylor]: Taking taylor expansion of (* 1/3 (log (expm1 (sin (expm1 a))))) in a 0.982 * [taylor]: Taking taylor expansion of 1/3 in a 0.982 * [taylor]: Taking taylor expansion of (log (expm1 (sin (expm1 a)))) in a 0.982 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 a))) in a 0.983 * [taylor]: Taking taylor expansion of (pow (expm1 (sin (expm1 a))) 1/3) in a 0.983 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (expm1 (sin (expm1 a)))))) in a 0.983 * [taylor]: Taking taylor expansion of (* 1/3 (log (expm1 (sin (expm1 a))))) in a 0.983 * [taylor]: Taking taylor expansion of 1/3 in a 0.983 * [taylor]: Taking taylor expansion of (log (expm1 (sin (expm1 a)))) in a 0.983 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 a))) in a 1.020 * [approximate]: Taking taylor expansion of (pow (expm1 (sin (expm1 (/ 1 a)))) 1/3) in (a) around 0 1.020 * [taylor]: Taking taylor expansion of (pow (expm1 (sin (expm1 (/ 1 a)))) 1/3) in a 1.020 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (expm1 (sin (expm1 (/ 1 a))))))) in a 1.020 * [taylor]: Taking taylor expansion of (* 1/3 (log (expm1 (sin (expm1 (/ 1 a)))))) in a 1.020 * [taylor]: Taking taylor expansion of 1/3 in a 1.020 * [taylor]: Taking taylor expansion of (log (expm1 (sin (expm1 (/ 1 a))))) in a 1.020 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in a 1.021 * [taylor]: Taking taylor expansion of (pow (expm1 (sin (expm1 (/ 1 a)))) 1/3) in a 1.021 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (expm1 (sin (expm1 (/ 1 a))))))) in a 1.021 * [taylor]: Taking taylor expansion of (* 1/3 (log (expm1 (sin (expm1 (/ 1 a)))))) in a 1.021 * [taylor]: Taking taylor expansion of 1/3 in a 1.021 * [taylor]: Taking taylor expansion of (log (expm1 (sin (expm1 (/ 1 a))))) in a 1.021 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in a 1.054 * [approximate]: Taking taylor expansion of (pow (expm1 (sin (expm1 (/ -1 a)))) 1/3) in (a) around 0 1.055 * [taylor]: Taking taylor expansion of (pow (expm1 (sin (expm1 (/ -1 a)))) 1/3) in a 1.055 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (expm1 (sin (expm1 (/ -1 a))))))) in a 1.055 * [taylor]: Taking taylor expansion of (* 1/3 (log (expm1 (sin (expm1 (/ -1 a)))))) in a 1.055 * [taylor]: Taking taylor expansion of 1/3 in a 1.055 * [taylor]: Taking taylor expansion of (log (expm1 (sin (expm1 (/ -1 a))))) in a 1.055 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in a 1.055 * [taylor]: Taking taylor expansion of (pow (expm1 (sin (expm1 (/ -1 a)))) 1/3) in a 1.055 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (expm1 (sin (expm1 (/ -1 a))))))) in a 1.055 * [taylor]: Taking taylor expansion of (* 1/3 (log (expm1 (sin (expm1 (/ -1 a)))))) in a 1.055 * [taylor]: Taking taylor expansion of 1/3 in a 1.055 * [taylor]: Taking taylor expansion of (log (expm1 (sin (expm1 (/ -1 a))))) in a 1.055 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in a 1.093 * * * [progress]: simplifying candidates 1.094 * [simplify]: Simplifying using # : (log (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (exp (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (* (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a))) (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (* (* (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a) (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (sqrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (sqrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (log (cbrt (expm1 (sin (expm1 a))))) (exp (cbrt (expm1 (sin (expm1 a))))) (cbrt (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a)))))) (cbrt (cbrt (expm1 (sin (expm1 a))))) (cbrt (sqrt (expm1 (sin (expm1 a))))) (cbrt (sqrt (expm1 (sin (expm1 a))))) (cbrt 1) (cbrt (expm1 (sin (expm1 a)))) (* (cbrt (cbrt (expm1 (sin (expm1 a))))) (cbrt (cbrt (expm1 (sin (expm1 a)))))) (cbrt (cbrt (expm1 (sin (expm1 a))))) (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (sqrt (cbrt (expm1 (sin (expm1 a))))) (sqrt (cbrt (expm1 (sin (expm1 a))))) (log (cbrt (expm1 (sin (expm1 a))))) (exp (cbrt (expm1 (sin (expm1 a))))) (cbrt (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a)))))) (cbrt (cbrt (expm1 (sin (expm1 a))))) (cbrt (sqrt (expm1 (sin (expm1 a))))) (cbrt (sqrt (expm1 (sin (expm1 a))))) (cbrt 1) (cbrt (expm1 (sin (expm1 a)))) (* (cbrt (cbrt (expm1 (sin (expm1 a))))) (cbrt (cbrt (expm1 (sin (expm1 a)))))) (cbrt (cbrt (expm1 (sin (expm1 a))))) (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (sqrt (cbrt (expm1 (sin (expm1 a))))) (sqrt (cbrt (expm1 (sin (expm1 a))))) (log (cbrt (expm1 (sin (expm1 a))))) (exp (cbrt (expm1 (sin (expm1 a))))) (cbrt (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a)))))) (cbrt (cbrt (expm1 (sin (expm1 a))))) (cbrt (sqrt (expm1 (sin (expm1 a))))) (cbrt (sqrt (expm1 (sin (expm1 a))))) (cbrt 1) (cbrt (expm1 (sin (expm1 a)))) (* (cbrt (cbrt (expm1 (sin (expm1 a))))) (cbrt (cbrt (expm1 (sin (expm1 a)))))) (cbrt (cbrt (expm1 (sin (expm1 a))))) (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (sqrt (cbrt (expm1 (sin (expm1 a))))) (sqrt (cbrt (expm1 (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 (expm1 (sin (expm1 a))) 1/3) (pow (expm1 (sin (expm1 a))) 1/3) (pow (expm1 (sin (expm1 a))) 1/3) (pow (expm1 (sin (expm1 a))) 1/3) (pow (expm1 (sin (expm1 a))) 1/3) (pow (expm1 (sin (expm1 a))) 1/3) (pow (expm1 (sin (expm1 a))) 1/3) (pow (expm1 (sin (expm1 a))) 1/3) (pow (expm1 (sin (expm1 a))) 1/3) 1.097 * * [simplify]: iteration 0 : 39 enodes (cost 474 ) 1.099 * * [simplify]: iteration 1 : 69 enodes (cost 412 ) 1.100 * * [simplify]: iteration 2 : 146 enodes (cost 406 ) 1.104 * * [simplify]: iteration 3 : 479 enodes (cost 395 ) 1.116 * * [simplify]: iteration 4 : 2429 enodes (cost 395 ) 1.182 * * [simplify]: iteration 5 : 5001 enodes (cost 395 ) 1.184 * [simplify]: Simplified to: (log (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (exp (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (* (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a))) (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3) (sqrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (sqrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (log (cbrt (expm1 (sin (expm1 a))))) (exp (cbrt (expm1 (sin (expm1 a))))) (cbrt (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a)))))) (cbrt (cbrt (expm1 (sin (expm1 a))))) (cbrt (sqrt (expm1 (sin (expm1 a))))) (cbrt (sqrt (expm1 (sin (expm1 a))))) (cbrt 1) (pow (expm1 (sin (expm1 a))) 1/3) (* (cbrt (cbrt (expm1 (sin (expm1 a))))) (cbrt (cbrt (expm1 (sin (expm1 a)))))) (cbrt (cbrt (expm1 (sin (expm1 a))))) (expm1 (sin (expm1 a))) (sqrt (cbrt (expm1 (sin (expm1 a))))) (sqrt (cbrt (expm1 (sin (expm1 a))))) (log (cbrt (expm1 (sin (expm1 a))))) (exp (cbrt (expm1 (sin (expm1 a))))) (cbrt (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a)))))) (cbrt (cbrt (expm1 (sin (expm1 a))))) (cbrt (sqrt (expm1 (sin (expm1 a))))) (cbrt (sqrt (expm1 (sin (expm1 a))))) (cbrt 1) (pow (expm1 (sin (expm1 a))) 1/3) (* (cbrt (cbrt (expm1 (sin (expm1 a))))) (cbrt (cbrt (expm1 (sin (expm1 a)))))) (cbrt (cbrt (expm1 (sin (expm1 a))))) (expm1 (sin (expm1 a))) (sqrt (cbrt (expm1 (sin (expm1 a))))) (sqrt (cbrt (expm1 (sin (expm1 a))))) (log (cbrt (expm1 (sin (expm1 a))))) (exp (cbrt (expm1 (sin (expm1 a))))) (cbrt (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a)))))) (cbrt (cbrt (expm1 (sin (expm1 a))))) (cbrt (sqrt (expm1 (sin (expm1 a))))) (cbrt (sqrt (expm1 (sin (expm1 a))))) (cbrt 1) (pow (expm1 (sin (expm1 a))) 1/3) (* (cbrt (cbrt (expm1 (sin (expm1 a))))) (cbrt (cbrt (expm1 (sin (expm1 a)))))) (cbrt (cbrt (expm1 (sin (expm1 a))))) (expm1 (sin (expm1 a))) (sqrt (cbrt (expm1 (sin (expm1 a))))) (sqrt (cbrt (expm1 (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 (expm1 (sin (expm1 a))) 1/3) (pow (expm1 (sin (expm1 a))) 1/3) (pow (expm1 (sin (expm1 a))) 1/3) (pow (expm1 (sin (expm1 a))) 1/3) (pow (expm1 (sin (expm1 a))) 1/3) (pow (expm1 (sin (expm1 a))) 1/3) (pow (expm1 (sin (expm1 a))) 1/3) (pow (expm1 (sin (expm1 a))) 1/3) (pow (expm1 (sin (expm1 a))) 1/3) 1.185 * * * [progress]: adding candidates to table 1.348 * * [progress]: iteration 3 / 4 1.348 * * * [progress]: picking best candidate 1.425 * * * * [pick]: Picked # 1.425 * * * [progress]: localizing error 1.450 * * * [progress]: generating rewritten candidates 1.450 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 1.450 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 1.451 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 1.452 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1 1 2) 1.453 * * * [progress]: generating series expansions 1.453 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 1.454 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 1.454 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.454 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.455 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 1.455 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.455 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.456 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 1.456 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.456 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.456 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 1.457 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 1.457 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.457 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.457 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 1.457 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.457 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.458 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 1.458 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.458 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.459 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 1.459 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 1.459 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.459 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.460 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 1.460 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.460 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.461 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 1.461 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.461 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.462 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1 1 2) 1.462 * [approximate]: Taking taylor expansion of (pow (expm1 (sin (expm1 a))) 1/3) in (a) around 0 1.462 * [taylor]: Taking taylor expansion of (pow (expm1 (sin (expm1 a))) 1/3) in a 1.462 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (expm1 (sin (expm1 a)))))) in a 1.462 * [taylor]: Taking taylor expansion of (* 1/3 (log (expm1 (sin (expm1 a))))) in a 1.462 * [taylor]: Taking taylor expansion of 1/3 in a 1.462 * [taylor]: Taking taylor expansion of (log (expm1 (sin (expm1 a)))) in a 1.462 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 a))) in a 1.462 * [taylor]: Taking taylor expansion of (pow (expm1 (sin (expm1 a))) 1/3) in a 1.462 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (expm1 (sin (expm1 a)))))) in a 1.462 * [taylor]: Taking taylor expansion of (* 1/3 (log (expm1 (sin (expm1 a))))) in a 1.462 * [taylor]: Taking taylor expansion of 1/3 in a 1.462 * [taylor]: Taking taylor expansion of (log (expm1 (sin (expm1 a)))) in a 1.462 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 a))) in a 1.498 * [approximate]: Taking taylor expansion of (pow (expm1 (sin (expm1 (/ 1 a)))) 1/3) in (a) around 0 1.498 * [taylor]: Taking taylor expansion of (pow (expm1 (sin (expm1 (/ 1 a)))) 1/3) in a 1.498 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (expm1 (sin (expm1 (/ 1 a))))))) in a 1.498 * [taylor]: Taking taylor expansion of (* 1/3 (log (expm1 (sin (expm1 (/ 1 a)))))) in a 1.498 * [taylor]: Taking taylor expansion of 1/3 in a 1.498 * [taylor]: Taking taylor expansion of (log (expm1 (sin (expm1 (/ 1 a))))) in a 1.498 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in a 1.498 * [taylor]: Taking taylor expansion of (pow (expm1 (sin (expm1 (/ 1 a)))) 1/3) in a 1.498 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (expm1 (sin (expm1 (/ 1 a))))))) in a 1.498 * [taylor]: Taking taylor expansion of (* 1/3 (log (expm1 (sin (expm1 (/ 1 a)))))) in a 1.498 * [taylor]: Taking taylor expansion of 1/3 in a 1.498 * [taylor]: Taking taylor expansion of (log (expm1 (sin (expm1 (/ 1 a))))) in a 1.498 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in a 1.532 * [approximate]: Taking taylor expansion of (pow (expm1 (sin (expm1 (/ -1 a)))) 1/3) in (a) around 0 1.532 * [taylor]: Taking taylor expansion of (pow (expm1 (sin (expm1 (/ -1 a)))) 1/3) in a 1.532 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (expm1 (sin (expm1 (/ -1 a))))))) in a 1.532 * [taylor]: Taking taylor expansion of (* 1/3 (log (expm1 (sin (expm1 (/ -1 a)))))) in a 1.532 * [taylor]: Taking taylor expansion of 1/3 in a 1.532 * [taylor]: Taking taylor expansion of (log (expm1 (sin (expm1 (/ -1 a))))) in a 1.532 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in a 1.532 * [taylor]: Taking taylor expansion of (pow (expm1 (sin (expm1 (/ -1 a)))) 1/3) in a 1.532 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (expm1 (sin (expm1 (/ -1 a))))))) in a 1.532 * [taylor]: Taking taylor expansion of (* 1/3 (log (expm1 (sin (expm1 (/ -1 a)))))) in a 1.532 * [taylor]: Taking taylor expansion of 1/3 in a 1.532 * [taylor]: Taking taylor expansion of (log (expm1 (sin (expm1 (/ -1 a))))) in a 1.532 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in a 1.571 * * * [progress]: simplifying candidates 1.572 * [simplify]: Simplifying using # : (log (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (exp (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (* (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a))) (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (* (* (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a) (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (sqrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (sqrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (log (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (exp (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (* (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a))) (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (* (* (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a) (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (sqrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (sqrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (log (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (exp (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (* (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a))) (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (* (* (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a) (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (sqrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (sqrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (log (cbrt (expm1 (sin (expm1 a))))) (exp (cbrt (expm1 (sin (expm1 a))))) (cbrt (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a)))))) (cbrt (cbrt (expm1 (sin (expm1 a))))) (cbrt (sqrt (expm1 (sin (expm1 a))))) (cbrt (sqrt (expm1 (sin (expm1 a))))) (cbrt 1) (cbrt (expm1 (sin (expm1 a)))) (* (cbrt (cbrt (expm1 (sin (expm1 a))))) (cbrt (cbrt (expm1 (sin (expm1 a)))))) (cbrt (cbrt (expm1 (sin (expm1 a))))) (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (sqrt (cbrt (expm1 (sin (expm1 a))))) (sqrt (cbrt (expm1 (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) (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) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (pow (expm1 (sin (expm1 a))) 1/3) (pow (expm1 (sin (expm1 a))) 1/3) (pow (expm1 (sin (expm1 a))) 1/3) 1.575 * * [simplify]: iteration 0 : 39 enodes (cost 686 ) 1.577 * * [simplify]: iteration 1 : 69 enodes (cost 572 ) 1.579 * * [simplify]: iteration 2 : 146 enodes (cost 570 ) 1.582 * * [simplify]: iteration 3 : 479 enodes (cost 537 ) 1.594 * * [simplify]: iteration 4 : 2429 enodes (cost 537 ) 1.660 * * [simplify]: iteration 5 : 5001 enodes (cost 537 ) 1.663 * [simplify]: Simplified to: (log (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (exp (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (* (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a))) (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3) (sqrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (sqrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (log (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (exp (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (* (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a))) (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3) (sqrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (sqrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (log (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (exp (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (* (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a))) (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3) (sqrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (sqrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (log (cbrt (expm1 (sin (expm1 a))))) (exp (cbrt (expm1 (sin (expm1 a))))) (cbrt (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a)))))) (cbrt (cbrt (expm1 (sin (expm1 a))))) (cbrt (sqrt (expm1 (sin (expm1 a))))) (cbrt (sqrt (expm1 (sin (expm1 a))))) (cbrt 1) (pow (expm1 (sin (expm1 a))) 1/3) (* (cbrt (cbrt (expm1 (sin (expm1 a))))) (cbrt (cbrt (expm1 (sin (expm1 a)))))) (cbrt (cbrt (expm1 (sin (expm1 a))))) (expm1 (sin (expm1 a))) (sqrt (cbrt (expm1 (sin (expm1 a))))) (sqrt (cbrt (expm1 (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) (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) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (pow (expm1 (sin (expm1 a))) 1/3) (pow (expm1 (sin (expm1 a))) 1/3) (pow (expm1 (sin (expm1 a))) 1/3) 1.663 * * * [progress]: adding candidates to table 1.859 * * [progress]: iteration 4 / 4 1.859 * * * [progress]: picking best candidate 1.977 * * * * [pick]: Picked # 1.977 * * * [progress]: localizing error 2.007 * * * [progress]: generating rewritten candidates 2.007 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 2.008 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1) 2.008 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1) 2.009 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1 1 2) 2.011 * * * [progress]: generating series expansions 2.011 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 2.011 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 2.011 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.011 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.012 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 2.012 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.012 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.013 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 2.013 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 2.013 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 2.014 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1) 2.014 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 2.014 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.014 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.015 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 2.015 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.015 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.016 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 2.016 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 2.016 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 2.017 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1) 2.017 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 2.017 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.017 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.017 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 2.017 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.018 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.018 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 2.018 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 2.018 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 2.019 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1 1 2) 2.019 * [approximate]: Taking taylor expansion of (pow (expm1 (sin (expm1 a))) 1/3) in (a) around 0 2.019 * [taylor]: Taking taylor expansion of (pow (expm1 (sin (expm1 a))) 1/3) in a 2.019 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (expm1 (sin (expm1 a)))))) in a 2.019 * [taylor]: Taking taylor expansion of (* 1/3 (log (expm1 (sin (expm1 a))))) in a 2.019 * [taylor]: Taking taylor expansion of 1/3 in a 2.019 * [taylor]: Taking taylor expansion of (log (expm1 (sin (expm1 a)))) in a 2.019 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 a))) in a 2.019 * [taylor]: Taking taylor expansion of (pow (expm1 (sin (expm1 a))) 1/3) in a 2.019 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (expm1 (sin (expm1 a)))))) in a 2.019 * [taylor]: Taking taylor expansion of (* 1/3 (log (expm1 (sin (expm1 a))))) in a 2.019 * [taylor]: Taking taylor expansion of 1/3 in a 2.019 * [taylor]: Taking taylor expansion of (log (expm1 (sin (expm1 a)))) in a 2.019 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 a))) in a 2.055 * [approximate]: Taking taylor expansion of (pow (expm1 (sin (expm1 (/ 1 a)))) 1/3) in (a) around 0 2.055 * [taylor]: Taking taylor expansion of (pow (expm1 (sin (expm1 (/ 1 a)))) 1/3) in a 2.055 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (expm1 (sin (expm1 (/ 1 a))))))) in a 2.055 * [taylor]: Taking taylor expansion of (* 1/3 (log (expm1 (sin (expm1 (/ 1 a)))))) in a 2.055 * [taylor]: Taking taylor expansion of 1/3 in a 2.055 * [taylor]: Taking taylor expansion of (log (expm1 (sin (expm1 (/ 1 a))))) in a 2.055 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in a 2.056 * [taylor]: Taking taylor expansion of (pow (expm1 (sin (expm1 (/ 1 a)))) 1/3) in a 2.056 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (expm1 (sin (expm1 (/ 1 a))))))) in a 2.056 * [taylor]: Taking taylor expansion of (* 1/3 (log (expm1 (sin (expm1 (/ 1 a)))))) in a 2.056 * [taylor]: Taking taylor expansion of 1/3 in a 2.056 * [taylor]: Taking taylor expansion of (log (expm1 (sin (expm1 (/ 1 a))))) in a 2.056 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in a 2.089 * [approximate]: Taking taylor expansion of (pow (expm1 (sin (expm1 (/ -1 a)))) 1/3) in (a) around 0 2.089 * [taylor]: Taking taylor expansion of (pow (expm1 (sin (expm1 (/ -1 a)))) 1/3) in a 2.089 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (expm1 (sin (expm1 (/ -1 a))))))) in a 2.089 * [taylor]: Taking taylor expansion of (* 1/3 (log (expm1 (sin (expm1 (/ -1 a)))))) in a 2.089 * [taylor]: Taking taylor expansion of 1/3 in a 2.089 * [taylor]: Taking taylor expansion of (log (expm1 (sin (expm1 (/ -1 a))))) in a 2.089 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in a 2.090 * [taylor]: Taking taylor expansion of (pow (expm1 (sin (expm1 (/ -1 a)))) 1/3) in a 2.090 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (expm1 (sin (expm1 (/ -1 a))))))) in a 2.090 * [taylor]: Taking taylor expansion of (* 1/3 (log (expm1 (sin (expm1 (/ -1 a)))))) in a 2.090 * [taylor]: Taking taylor expansion of 1/3 in a 2.090 * [taylor]: Taking taylor expansion of (log (expm1 (sin (expm1 (/ -1 a))))) in a 2.090 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in a 2.128 * * * [progress]: simplifying candidates 2.129 * [simplify]: Simplifying using # : (log (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (exp (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (* (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a))) (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (* (* (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a) (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (sqrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (sqrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (log (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (exp (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (* (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a))) (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (* (* (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a) (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (sqrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (sqrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (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 (cbrt (expm1 (sin (expm1 a))))) (exp (cbrt (expm1 (sin (expm1 a))))) (cbrt (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a)))))) (cbrt (cbrt (expm1 (sin (expm1 a))))) (cbrt (sqrt (expm1 (sin (expm1 a))))) (cbrt (sqrt (expm1 (sin (expm1 a))))) (cbrt 1) (cbrt (expm1 (sin (expm1 a)))) (* (cbrt (cbrt (expm1 (sin (expm1 a))))) (cbrt (cbrt (expm1 (sin (expm1 a)))))) (cbrt (cbrt (expm1 (sin (expm1 a))))) (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (sqrt (cbrt (expm1 (sin (expm1 a))))) (sqrt (cbrt (expm1 (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) (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) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (pow (expm1 (sin (expm1 a))) 1/3) (pow (expm1 (sin (expm1 a))) 1/3) (pow (expm1 (sin (expm1 a))) 1/3) 2.132 * * [simplify]: iteration 0 : 47 enodes (cost 576 ) 2.134 * * [simplify]: iteration 1 : 78 enodes (cost 484 ) 2.136 * * [simplify]: iteration 2 : 157 enodes (cost 306 ) 2.139 * * [simplify]: iteration 3 : 482 enodes (cost 306 ) 2.151 * * [simplify]: iteration 4 : 2432 enodes (cost 306 ) 2.218 * * [simplify]: iteration 5 : 5001 enodes (cost 306 ) 2.219 * [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 (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 (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 (cbrt (expm1 (sin (expm1 a))))) (exp (cbrt (expm1 (sin (expm1 a))))) (cbrt (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a)))))) (cbrt (cbrt (expm1 (sin (expm1 a))))) (cbrt (sqrt (expm1 (sin (expm1 a))))) (cbrt (sqrt (expm1 (sin (expm1 a))))) (cbrt 1) (pow (expm1 (sin (expm1 a))) 1/3) (* (cbrt (cbrt (expm1 (sin (expm1 a))))) (cbrt (cbrt (expm1 (sin (expm1 a)))))) (cbrt (cbrt (expm1 (sin (expm1 a))))) (expm1 (sin (expm1 a))) (sqrt (cbrt (expm1 (sin (expm1 a))))) (sqrt (cbrt (expm1 (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) (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) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (pow (expm1 (sin (expm1 a))) 1/3) (pow (expm1 (sin (expm1 a))) 1/3) (pow (expm1 (sin (expm1 a))) 1/3) 2.220 * * * [progress]: adding candidates to table 2.448 * [progress]: [Phase 3 of 3] Extracting. 2.448 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # #) 2.472 * * * [regime-changes]: Trying 2 branch expressions: ((fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) a) 2.472 * * * * [regimes]: Trying to branch on (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) from (# # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # #) 2.671 * * * * [regimes]: Trying to branch on (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) from (# # #) 2.713 * * * * [regimes]: Trying to branch on a from (# # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # #) 2.898 * * * [regime]: Found split indices: #