0.762 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.781 * * * [progress]: [2/2] Setting up program. 0.789 * [progress]: [Phase 2 of 3] Improving. 0.793 * [simplify]: Simplifying: (fabs (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) 0.795 * * [simplify]: Extracting # 0 : cost 0 0.795 * * [simplify]: Extracting # 1 : cost 0 0.795 * * [simplify]: Extracting # 2 : cost 0 0.795 * * [simplify]: Extracting # 3 : cost 0 0.795 * * [simplify]: Extracting # 4 : cost 0 0.796 * * [simplify]: Extracting # 5 : cost 0 0.796 * * [simplify]: Extracting # 6 : cost 0 0.796 * * [simplify]: Extracting # 7 : cost 0 0.796 * * [simplify]: iteration 0 : 8 enodes (cost 10 ) 0.800 * * [simplify]: Extracting # 0 : cost 0 0.800 * * [simplify]: iteration done: 8 enodes (cost 10 ) 0.801 * [simplify]: Simplified to: (fabs (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) 0.803 * * [progress]: iteration 1 / 4 0.803 * * * [progress]: picking best candidate 0.810 * * * * [pick]: Picked # 0.810 * * * [progress]: localizing error 0.878 * * * [progress]: generating rewritten candidates 0.878 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.880 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1) 0.889 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.889 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.892 * * * [progress]: generating series expansions 0.892 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.898 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 0.898 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 0.899 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.901 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 0.901 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.902 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 0.902 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 0.903 * [backup-simplify]: Simplify 0 into 0 0.903 * [backup-simplify]: Simplify 0 into 0 0.903 * [backup-simplify]: Simplify 0 into 0 0.903 * [backup-simplify]: Simplify 0 into 0 0.903 * [backup-simplify]: Simplify 0 into 0 0.903 * [backup-simplify]: Simplify 0 into 0 0.903 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 0.906 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 0.906 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 0.906 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.906 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 0.906 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.906 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 0.907 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 0.907 * [backup-simplify]: Simplify 0 into 0 0.907 * [backup-simplify]: Simplify 0 into 0 0.907 * [backup-simplify]: Simplify 0 into 0 0.907 * [backup-simplify]: Simplify 0 into 0 0.907 * [backup-simplify]: Simplify 0 into 0 0.907 * [backup-simplify]: Simplify 0 into 0 0.907 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 (/ 1 a))))) (atan (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 0.908 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 (- a))))) (atan (/ 1 (- a)))) (/ 1 (- a))) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 0.908 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 0.908 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.909 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 0.909 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.909 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 0.909 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 0.909 * [backup-simplify]: Simplify 0 into 0 0.910 * [backup-simplify]: Simplify 0 into 0 0.910 * [backup-simplify]: Simplify 0 into 0 0.910 * [backup-simplify]: Simplify 0 into 0 0.910 * [backup-simplify]: Simplify 0 into 0 0.910 * [backup-simplify]: Simplify 0 into 0 0.910 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 (/ 1 (- a)))))) (atan (/ -1 (/ 1 (- a))))) (/ -1 (/ 1 (- a)))) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 0.910 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1) 0.910 * [backup-simplify]: Simplify (sin (expm1 a)) into (sin (expm1 a)) 0.910 * [approximate]: Taking taylor expansion of (sin (expm1 a)) in (a) around 0 0.910 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.910 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.910 * [backup-simplify]: Simplify (expm1 a) into (expm1 a) 0.911 * [backup-simplify]: Simplify (sin (expm1 a)) into (sin (expm1 a)) 0.911 * [backup-simplify]: Simplify (cos (expm1 a)) into (cos (expm1 a)) 0.911 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.911 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.911 * [backup-simplify]: Simplify (expm1 a) into (expm1 a) 0.911 * [backup-simplify]: Simplify (sin (expm1 a)) into (sin (expm1 a)) 0.911 * [backup-simplify]: Simplify (cos (expm1 a)) into (cos (expm1 a)) 0.912 * [backup-simplify]: Simplify (* (sin (expm1 a)) 1) into (sin (expm1 a)) 0.912 * [backup-simplify]: Simplify (* (cos (expm1 a)) 0) into 0 0.912 * [backup-simplify]: Simplify (+ (sin (expm1 a)) 0) into (sin (expm1 a)) 0.912 * [backup-simplify]: Simplify (sin (expm1 a)) into (sin (expm1 a)) 0.914 * [backup-simplify]: Simplify (+ 0) into 0 0.914 * [backup-simplify]: Simplify (+ (* (sin (expm1 a)) 0) (* 0 1)) into 0 0.916 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.916 * [backup-simplify]: Simplify (+ (* (cos (expm1 a)) 0) (* 0 0)) into 0 0.917 * [backup-simplify]: Simplify (+ 0 0) into 0 0.917 * [backup-simplify]: Simplify 0 into 0 0.918 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.919 * [backup-simplify]: Simplify (+ (* (sin (expm1 a)) 0) (+ (* 0 0) (* 0 1))) into 0 0.920 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.920 * [backup-simplify]: Simplify (+ (* (cos (expm1 a)) 0) (+ (* 0 0) (* 0 0))) into 0 0.920 * [backup-simplify]: Simplify (+ 0 0) into 0 0.921 * [backup-simplify]: Simplify 0 into 0 0.922 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.923 * [backup-simplify]: Simplify (+ (* (sin (expm1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.925 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 0.926 * [backup-simplify]: Simplify (+ (* (cos (expm1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 0.926 * [backup-simplify]: Simplify (+ 0 0) into 0 0.926 * [backup-simplify]: Simplify 0 into 0 0.929 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 0.930 * [backup-simplify]: Simplify (+ (* (sin (expm1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.932 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.932 * [backup-simplify]: Simplify (+ (* (cos (expm1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 0.933 * [backup-simplify]: Simplify (+ 0 0) into 0 0.933 * [backup-simplify]: Simplify 0 into 0 0.935 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.936 * [backup-simplify]: Simplify (+ (* (sin (expm1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.939 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 5) 120)) 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.940 * [backup-simplify]: Simplify (+ (* (cos (expm1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))))) into 0 0.941 * [backup-simplify]: Simplify (+ 0 0) into 0 0.941 * [backup-simplify]: Simplify 0 into 0 0.945 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 6) 720)) 0 (* 1 (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 0 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 0.946 * [backup-simplify]: Simplify (+ (* (sin (expm1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.950 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.950 * [backup-simplify]: Simplify (+ (* (cos (expm1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))))) into 0 0.951 * [backup-simplify]: Simplify (+ 0 0) into 0 0.951 * [backup-simplify]: Simplify 0 into 0 0.951 * [backup-simplify]: Simplify (sin (expm1 a)) into (sin (expm1 a)) 0.951 * [backup-simplify]: Simplify (sin (expm1 (/ 1 a))) into (sin (expm1 (/ 1 a))) 0.951 * [approximate]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in (a) around 0 0.951 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.951 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.951 * [backup-simplify]: Simplify (expm1 (/ 1 a)) into (expm1 (/ 1 a)) 0.951 * [backup-simplify]: Simplify (sin (expm1 (/ 1 a))) into (sin (expm1 (/ 1 a))) 0.951 * [backup-simplify]: Simplify (cos (expm1 (/ 1 a))) into (cos (expm1 (/ 1 a))) 0.951 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.951 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.951 * [backup-simplify]: Simplify (expm1 (/ 1 a)) into (expm1 (/ 1 a)) 0.951 * [backup-simplify]: Simplify (sin (expm1 (/ 1 a))) into (sin (expm1 (/ 1 a))) 0.951 * [backup-simplify]: Simplify (cos (expm1 (/ 1 a))) into (cos (expm1 (/ 1 a))) 0.951 * [backup-simplify]: Simplify (* (sin (expm1 (/ 1 a))) 1) into (sin (expm1 (/ 1 a))) 0.952 * [backup-simplify]: Simplify (* (cos (expm1 (/ 1 a))) 0) into 0 0.952 * [backup-simplify]: Simplify (+ (sin (expm1 (/ 1 a))) 0) into (sin (expm1 (/ 1 a))) 0.952 * [backup-simplify]: Simplify (sin (expm1 (/ 1 a))) into (sin (expm1 (/ 1 a))) 0.952 * [backup-simplify]: Simplify (+ 0) into 0 0.952 * [backup-simplify]: Simplify (+ (* (sin (expm1 (/ 1 a))) 0) (* 0 1)) into 0 0.953 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.953 * [backup-simplify]: Simplify (+ (* (cos (expm1 (/ 1 a))) 0) (* 0 0)) into 0 0.953 * [backup-simplify]: Simplify (+ 0 0) into 0 0.953 * [backup-simplify]: Simplify 0 into 0 0.954 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.954 * [backup-simplify]: Simplify (+ (* (sin (expm1 (/ 1 a))) 0) (+ (* 0 0) (* 0 1))) into 0 0.955 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.955 * [backup-simplify]: Simplify (+ (* (cos (expm1 (/ 1 a))) 0) (+ (* 0 0) (* 0 0))) into 0 0.955 * [backup-simplify]: Simplify (+ 0 0) into 0 0.955 * [backup-simplify]: Simplify 0 into 0 0.956 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.957 * [backup-simplify]: Simplify (+ (* (sin (expm1 (/ 1 a))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.958 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 0.958 * [backup-simplify]: Simplify (+ (* (cos (expm1 (/ 1 a))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 0.958 * [backup-simplify]: Simplify (+ 0 0) into 0 0.959 * [backup-simplify]: Simplify 0 into 0 0.960 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 0.961 * [backup-simplify]: Simplify (+ (* (sin (expm1 (/ 1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.961 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.962 * [backup-simplify]: Simplify (+ (* (cos (expm1 (/ 1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 0.962 * [backup-simplify]: Simplify (+ 0 0) into 0 0.962 * [backup-simplify]: Simplify 0 into 0 0.963 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.964 * [backup-simplify]: Simplify (+ (* (sin (expm1 (/ 1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.965 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 5) 120)) 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.966 * [backup-simplify]: Simplify (+ (* (cos (expm1 (/ 1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))))) into 0 0.966 * [backup-simplify]: Simplify (+ 0 0) into 0 0.966 * [backup-simplify]: Simplify 0 into 0 0.968 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 6) 720)) 0 (* 1 (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 0 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 0.969 * [backup-simplify]: Simplify (+ (* (sin (expm1 (/ 1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.971 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.972 * [backup-simplify]: Simplify (+ (* (cos (expm1 (/ 1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))))) into 0 0.972 * [backup-simplify]: Simplify (+ 0 0) into 0 0.972 * [backup-simplify]: Simplify 0 into 0 0.972 * [backup-simplify]: Simplify (sin (expm1 (/ 1 (/ 1 a)))) into (sin (expm1 a)) 0.972 * [backup-simplify]: Simplify (sin (expm1 (/ 1 (- a)))) into (sin (expm1 (/ -1 a))) 0.972 * [approximate]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in (a) around 0 0.973 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.973 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.973 * [backup-simplify]: Simplify (expm1 (/ -1 a)) into (expm1 (/ -1 a)) 0.973 * [backup-simplify]: Simplify (sin (expm1 (/ -1 a))) into (sin (expm1 (/ -1 a))) 0.973 * [backup-simplify]: Simplify (cos (expm1 (/ -1 a))) into (cos (expm1 (/ -1 a))) 0.973 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.973 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.973 * [backup-simplify]: Simplify (expm1 (/ -1 a)) into (expm1 (/ -1 a)) 0.973 * [backup-simplify]: Simplify (sin (expm1 (/ -1 a))) into (sin (expm1 (/ -1 a))) 0.973 * [backup-simplify]: Simplify (cos (expm1 (/ -1 a))) into (cos (expm1 (/ -1 a))) 0.973 * [backup-simplify]: Simplify (* (sin (expm1 (/ -1 a))) 1) into (sin (expm1 (/ -1 a))) 0.973 * [backup-simplify]: Simplify (* (cos (expm1 (/ -1 a))) 0) into 0 0.973 * [backup-simplify]: Simplify (+ (sin (expm1 (/ -1 a))) 0) into (sin (expm1 (/ -1 a))) 0.973 * [backup-simplify]: Simplify (sin (expm1 (/ -1 a))) into (sin (expm1 (/ -1 a))) 0.974 * [backup-simplify]: Simplify (+ 0) into 0 0.974 * [backup-simplify]: Simplify (+ (* (sin (expm1 (/ -1 a))) 0) (* 0 1)) into 0 0.974 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.975 * [backup-simplify]: Simplify (+ (* (cos (expm1 (/ -1 a))) 0) (* 0 0)) into 0 0.975 * [backup-simplify]: Simplify (+ 0 0) into 0 0.975 * [backup-simplify]: Simplify 0 into 0 0.976 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.976 * [backup-simplify]: Simplify (+ (* (sin (expm1 (/ -1 a))) 0) (+ (* 0 0) (* 0 1))) into 0 0.976 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.977 * [backup-simplify]: Simplify (+ (* (cos (expm1 (/ -1 a))) 0) (+ (* 0 0) (* 0 0))) into 0 0.977 * [backup-simplify]: Simplify (+ 0 0) into 0 0.977 * [backup-simplify]: Simplify 0 into 0 0.978 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.978 * [backup-simplify]: Simplify (+ (* (sin (expm1 (/ -1 a))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.979 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 0.980 * [backup-simplify]: Simplify (+ (* (cos (expm1 (/ -1 a))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 0.980 * [backup-simplify]: Simplify (+ 0 0) into 0 0.980 * [backup-simplify]: Simplify 0 into 0 0.981 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 0.982 * [backup-simplify]: Simplify (+ (* (sin (expm1 (/ -1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.983 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.983 * [backup-simplify]: Simplify (+ (* (cos (expm1 (/ -1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 0.984 * [backup-simplify]: Simplify (+ 0 0) into 0 0.984 * [backup-simplify]: Simplify 0 into 0 0.985 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.986 * [backup-simplify]: Simplify (+ (* (sin (expm1 (/ -1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.989 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 5) 120)) 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.990 * [backup-simplify]: Simplify (+ (* (cos (expm1 (/ -1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))))) into 0 0.990 * [backup-simplify]: Simplify (+ 0 0) into 0 0.990 * [backup-simplify]: Simplify 0 into 0 1.006 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 6) 720)) 0 (* 1 (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 0 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 1.008 * [backup-simplify]: Simplify (+ (* (sin (expm1 (/ -1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.012 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.013 * [backup-simplify]: Simplify (+ (* (cos (expm1 (/ -1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))))) into 0 1.014 * [backup-simplify]: Simplify (+ 0 0) into 0 1.014 * [backup-simplify]: Simplify 0 into 0 1.014 * [backup-simplify]: Simplify (sin (expm1 (/ -1 (/ 1 (- a))))) into (sin (expm1 a)) 1.014 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.014 * [backup-simplify]: Simplify (expm1 (sin (expm1 a))) into (expm1 (sin (expm1 a))) 1.014 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 a))) in (a) around 0 1.014 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 a))) in a 1.015 * [backup-simplify]: Simplify (expm1 (sin (expm1 a))) into (expm1 (sin (expm1 a))) 1.015 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 a))) in a 1.015 * [backup-simplify]: Simplify (expm1 (sin (expm1 a))) into (expm1 (sin (expm1 a))) 1.015 * [backup-simplify]: Simplify (expm1 (sin (expm1 a))) into (expm1 (sin (expm1 a))) 1.015 * [backup-simplify]: Simplify 0 into 0 1.015 * [backup-simplify]: Simplify 0 into 0 1.015 * [backup-simplify]: Simplify 0 into 0 1.015 * [backup-simplify]: Simplify 0 into 0 1.015 * [backup-simplify]: Simplify 0 into 0 1.015 * [backup-simplify]: Simplify 0 into 0 1.015 * [backup-simplify]: Simplify (expm1 (sin (expm1 a))) into (expm1 (sin (expm1 a))) 1.015 * [backup-simplify]: Simplify (expm1 (sin (expm1 (/ 1 a)))) into (expm1 (sin (expm1 (/ 1 a)))) 1.015 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in (a) around 0 1.015 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in a 1.016 * [backup-simplify]: Simplify (expm1 (sin (expm1 (/ 1 a)))) into (expm1 (sin (expm1 (/ 1 a)))) 1.016 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in a 1.016 * [backup-simplify]: Simplify (expm1 (sin (expm1 (/ 1 a)))) into (expm1 (sin (expm1 (/ 1 a)))) 1.016 * [backup-simplify]: Simplify (expm1 (sin (expm1 (/ 1 a)))) into (expm1 (sin (expm1 (/ 1 a)))) 1.016 * [backup-simplify]: Simplify 0 into 0 1.016 * [backup-simplify]: Simplify 0 into 0 1.016 * [backup-simplify]: Simplify 0 into 0 1.016 * [backup-simplify]: Simplify 0 into 0 1.016 * [backup-simplify]: Simplify 0 into 0 1.016 * [backup-simplify]: Simplify 0 into 0 1.016 * [backup-simplify]: Simplify (expm1 (sin (expm1 (/ 1 (/ 1 a))))) into (expm1 (sin (expm1 a))) 1.016 * [backup-simplify]: Simplify (expm1 (sin (expm1 (/ 1 (- a))))) into (expm1 (sin (expm1 (/ -1 a)))) 1.017 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in (a) around 0 1.017 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in a 1.017 * [backup-simplify]: Simplify (expm1 (sin (expm1 (/ -1 a)))) into (expm1 (sin (expm1 (/ -1 a)))) 1.017 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in a 1.017 * [backup-simplify]: Simplify (expm1 (sin (expm1 (/ -1 a)))) into (expm1 (sin (expm1 (/ -1 a)))) 1.017 * [backup-simplify]: Simplify (expm1 (sin (expm1 (/ -1 a)))) into (expm1 (sin (expm1 (/ -1 a)))) 1.017 * [backup-simplify]: Simplify 0 into 0 1.017 * [backup-simplify]: Simplify 0 into 0 1.017 * [backup-simplify]: Simplify 0 into 0 1.017 * [backup-simplify]: Simplify 0 into 0 1.018 * [backup-simplify]: Simplify 0 into 0 1.018 * [backup-simplify]: Simplify 0 into 0 1.018 * [backup-simplify]: Simplify (expm1 (sin (expm1 (/ -1 (/ 1 (- a)))))) into (expm1 (sin (expm1 a))) 1.018 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.018 * [backup-simplify]: Simplify (atan2 (expm1 (sin (expm1 a))) (atan a)) into (atan2 (expm1 (sin (expm1 a))) (atan a)) 1.018 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in (a) around 0 1.018 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 1.018 * [backup-simplify]: Simplify (atan2 (expm1 (sin (expm1 a))) (atan a)) into (atan2 (expm1 (sin (expm1 a))) (atan a)) 1.018 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 1.018 * [backup-simplify]: Simplify (atan2 (expm1 (sin (expm1 a))) (atan a)) into (atan2 (expm1 (sin (expm1 a))) (atan a)) 1.019 * [backup-simplify]: Simplify (atan2 (expm1 (sin (expm1 a))) (atan a)) into (atan2 (expm1 (sin (expm1 a))) (atan a)) 1.019 * [backup-simplify]: Simplify 0 into 0 1.019 * [backup-simplify]: Simplify 0 into 0 1.019 * [backup-simplify]: Simplify 0 into 0 1.019 * [backup-simplify]: Simplify 0 into 0 1.019 * [backup-simplify]: Simplify 0 into 0 1.019 * [backup-simplify]: Simplify 0 into 0 1.019 * [backup-simplify]: Simplify (atan2 (expm1 (sin (expm1 a))) (atan a)) into (atan2 (expm1 (sin (expm1 a))) (atan a)) 1.019 * [backup-simplify]: Simplify (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) into (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 1.019 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in (a) around 0 1.019 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 1.020 * [backup-simplify]: Simplify (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) into (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 1.020 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 1.020 * [backup-simplify]: Simplify (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) into (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 1.020 * [backup-simplify]: Simplify (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) into (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 1.020 * [backup-simplify]: Simplify 0 into 0 1.020 * [backup-simplify]: Simplify 0 into 0 1.020 * [backup-simplify]: Simplify 0 into 0 1.020 * [backup-simplify]: Simplify 0 into 0 1.020 * [backup-simplify]: Simplify 0 into 0 1.020 * [backup-simplify]: Simplify 0 into 0 1.021 * [backup-simplify]: Simplify (atan2 (expm1 (sin (expm1 (/ 1 (/ 1 a))))) (atan (/ 1 (/ 1 a)))) into (atan2 (expm1 (sin (expm1 a))) (atan a)) 1.021 * [backup-simplify]: Simplify (atan2 (expm1 (sin (expm1 (/ 1 (- a))))) (atan (/ 1 (- a)))) into (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 1.021 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in (a) around 0 1.021 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 1.021 * [backup-simplify]: Simplify (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) into (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 1.021 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 1.022 * [backup-simplify]: Simplify (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) into (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 1.022 * [backup-simplify]: Simplify (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) into (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 1.022 * [backup-simplify]: Simplify 0 into 0 1.022 * [backup-simplify]: Simplify 0 into 0 1.022 * [backup-simplify]: Simplify 0 into 0 1.022 * [backup-simplify]: Simplify 0 into 0 1.022 * [backup-simplify]: Simplify 0 into 0 1.022 * [backup-simplify]: Simplify 0 into 0 1.022 * [backup-simplify]: Simplify (atan2 (expm1 (sin (expm1 (/ -1 (/ 1 (- a)))))) (atan (/ -1 (/ 1 (- a))))) into (atan2 (expm1 (sin (expm1 a))) (atan a)) 1.022 * * * [progress]: simplifying candidates 1.024 * [simplify]: Simplifying: (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)) 1.026 * * [simplify]: Extracting # 0 : cost 0 1.026 * * [simplify]: Extracting # 1 : cost 0 1.026 * * [simplify]: Extracting # 2 : cost 0 1.026 * * [simplify]: Extracting # 3 : cost 0 1.026 * * [simplify]: Extracting # 4 : cost 0 1.026 * * [simplify]: Extracting # 5 : cost 0 1.026 * * [simplify]: iteration 0 : 35 enodes (cost 339 ) 1.040 * * [simplify]: Extracting # 0 : cost 0 1.040 * * [simplify]: iteration 1 : 39 enodes (cost 339 ) 1.052 * * [simplify]: Extracting # 0 : cost 0 1.053 * * [simplify]: Extracting # 1 : cost 0 1.053 * * [simplify]: Extracting # 2 : cost 0 1.053 * * [simplify]: Extracting # 3 : cost 0 1.053 * * [simplify]: iteration 2 : 44 enodes (cost 293 ) 1.068 * * [simplify]: Extracting # 0 : cost 0 1.068 * * [simplify]: Extracting # 1 : cost 0 1.068 * * [simplify]: Extracting # 2 : cost 0 1.068 * * [simplify]: Extracting # 3 : cost 0 1.069 * * [simplify]: Extracting # 4 : cost 0 1.069 * * [simplify]: iteration 3 : 55 enodes (cost 293 ) 1.088 * * [simplify]: Extracting # 0 : cost 0 1.088 * * [simplify]: Extracting # 1 : cost 0 1.089 * * [simplify]: Extracting # 2 : cost 0 1.089 * * [simplify]: Extracting # 3 : cost 0 1.089 * * [simplify]: iteration 4 : 70 enodes (cost 293 ) 1.104 * * [simplify]: Extracting # 0 : cost 0 1.104 * * [simplify]: Extracting # 1 : cost 0 1.104 * * [simplify]: Extracting # 2 : cost 0 1.104 * * [simplify]: Extracting # 3 : cost 0 1.104 * * [simplify]: iteration 5 : 101 enodes (cost 293 ) 1.123 * * [simplify]: Extracting # 0 : cost 0 1.124 * * [simplify]: Extracting # 1 : cost 0 1.124 * * [simplify]: Extracting # 2 : cost 0 1.124 * * [simplify]: Extracting # 3 : cost 0 1.124 * * [simplify]: Extracting # 4 : cost 0 1.124 * * [simplify]: iteration 6 : 176 enodes (cost 293 ) 1.196 * * [simplify]: Extracting # 0 : cost 0 1.197 * * [simplify]: Extracting # 1 : cost 0 1.197 * * [simplify]: Extracting # 2 : cost 0 1.198 * * [simplify]: Extracting # 3 : cost 0 1.198 * * [simplify]: Extracting # 4 : cost 0 1.199 * * [simplify]: iteration 7 : 436 enodes (cost 293 ) 1.602 * * [simplify]: Extracting # 0 : cost 0 1.605 * * [simplify]: Extracting # 1 : cost 0 1.608 * * [simplify]: Extracting # 2 : cost 0 1.610 * * [simplify]: Extracting # 3 : cost 0 1.613 * * [simplify]: Extracting # 4 : cost 0 1.615 * * [simplify]: iteration 8 : 1564 enodes (cost 293 ) 2.647 * * [simplify]: Extracting # 0 : cost 0 2.656 * * [simplify]: Extracting # 1 : cost 0 2.663 * * [simplify]: Extracting # 2 : cost 0 2.671 * * [simplify]: Extracting # 3 : cost 0 2.677 * * [simplify]: Extracting # 4 : cost 0 2.683 * * [simplify]: Extracting # 5 : cost 0 2.689 * * [simplify]: Extracting # 6 : cost 0 2.694 * * [simplify]: iteration done: 5001 enodes (cost 293 ) 2.695 * [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)) 2.695 * * * [progress]: adding candidates to table 2.901 * * [progress]: iteration 2 / 4 2.901 * * * [progress]: picking best candidate 2.984 * * * * [pick]: Picked # 2.984 * * * [progress]: localizing error 3.044 * * * [progress]: generating rewritten candidates 3.044 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 3.045 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 3.046 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 3.046 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 3.050 * * * [progress]: generating series expansions 3.050 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 3.051 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3.051 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 3.051 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 3.051 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3.051 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 3.051 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3.052 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3.052 * [backup-simplify]: Simplify 0 into 0 3.052 * [backup-simplify]: Simplify 0 into 0 3.052 * [backup-simplify]: Simplify 0 into 0 3.052 * [backup-simplify]: Simplify 0 into 0 3.052 * [backup-simplify]: Simplify 0 into 0 3.052 * [backup-simplify]: Simplify 0 into 0 3.052 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3.052 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 3.052 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 3.052 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 3.053 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 3.053 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 3.053 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 3.054 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 3.054 * [backup-simplify]: Simplify 0 into 0 3.054 * [backup-simplify]: Simplify 0 into 0 3.054 * [backup-simplify]: Simplify 0 into 0 3.054 * [backup-simplify]: Simplify 0 into 0 3.054 * [backup-simplify]: Simplify 0 into 0 3.054 * [backup-simplify]: Simplify 0 into 0 3.054 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 (/ 1 a))))) (atan (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3.055 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 (- a))))) (atan (/ 1 (- a)))) (/ 1 (- a))) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 3.055 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 3.055 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 3.055 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 3.055 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 3.055 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 3.056 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 3.056 * [backup-simplify]: Simplify 0 into 0 3.056 * [backup-simplify]: Simplify 0 into 0 3.056 * [backup-simplify]: Simplify 0 into 0 3.056 * [backup-simplify]: Simplify 0 into 0 3.056 * [backup-simplify]: Simplify 0 into 0 3.056 * [backup-simplify]: Simplify 0 into 0 3.056 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 (/ 1 (- a)))))) (atan (/ -1 (/ 1 (- a))))) (/ -1 (/ 1 (- a)))) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3.056 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 3.057 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3.057 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 3.057 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 3.057 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3.057 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 3.057 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3.057 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3.057 * [backup-simplify]: Simplify 0 into 0 3.057 * [backup-simplify]: Simplify 0 into 0 3.057 * [backup-simplify]: Simplify 0 into 0 3.057 * [backup-simplify]: Simplify 0 into 0 3.057 * [backup-simplify]: Simplify 0 into 0 3.058 * [backup-simplify]: Simplify 0 into 0 3.058 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3.058 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 3.058 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 3.058 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 3.058 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 3.058 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 3.059 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 3.059 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 3.059 * [backup-simplify]: Simplify 0 into 0 3.059 * [backup-simplify]: Simplify 0 into 0 3.059 * [backup-simplify]: Simplify 0 into 0 3.059 * [backup-simplify]: Simplify 0 into 0 3.059 * [backup-simplify]: Simplify 0 into 0 3.059 * [backup-simplify]: Simplify 0 into 0 3.060 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 (/ 1 a))))) (atan (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3.060 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 (- a))))) (atan (/ 1 (- a)))) (/ 1 (- a))) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 3.060 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 3.060 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 3.061 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 3.061 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 3.061 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 3.061 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 3.062 * [backup-simplify]: Simplify 0 into 0 3.062 * [backup-simplify]: Simplify 0 into 0 3.062 * [backup-simplify]: Simplify 0 into 0 3.062 * [backup-simplify]: Simplify 0 into 0 3.062 * [backup-simplify]: Simplify 0 into 0 3.062 * [backup-simplify]: Simplify 0 into 0 3.062 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 (/ 1 (- a)))))) (atan (/ -1 (/ 1 (- a))))) (/ -1 (/ 1 (- a)))) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3.062 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 3.063 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3.063 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 3.063 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 3.063 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3.063 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 3.063 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3.063 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3.063 * [backup-simplify]: Simplify 0 into 0 3.063 * [backup-simplify]: Simplify 0 into 0 3.063 * [backup-simplify]: Simplify 0 into 0 3.063 * [backup-simplify]: Simplify 0 into 0 3.064 * [backup-simplify]: Simplify 0 into 0 3.064 * [backup-simplify]: Simplify 0 into 0 3.064 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3.064 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 3.064 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 3.064 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 3.064 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 3.064 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 3.065 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 3.065 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 3.065 * [backup-simplify]: Simplify 0 into 0 3.065 * [backup-simplify]: Simplify 0 into 0 3.065 * [backup-simplify]: Simplify 0 into 0 3.065 * [backup-simplify]: Simplify 0 into 0 3.065 * [backup-simplify]: Simplify 0 into 0 3.065 * [backup-simplify]: Simplify 0 into 0 3.065 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 (/ 1 a))))) (atan (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3.066 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 (- a))))) (atan (/ 1 (- a)))) (/ 1 (- a))) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 3.066 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 3.066 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 3.066 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 3.066 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 3.066 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 3.066 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 3.066 * [backup-simplify]: Simplify 0 into 0 3.066 * [backup-simplify]: Simplify 0 into 0 3.066 * [backup-simplify]: Simplify 0 into 0 3.066 * [backup-simplify]: Simplify 0 into 0 3.066 * [backup-simplify]: Simplify 0 into 0 3.066 * [backup-simplify]: Simplify 0 into 0 3.066 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 (/ 1 (- a)))))) (atan (/ -1 (/ 1 (- a))))) (/ -1 (/ 1 (- a)))) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3.067 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 3.067 * [backup-simplify]: Simplify (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) into (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1/3) 3.067 * [approximate]: Taking taylor expansion of (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1/3) in (a) around 0 3.067 * [taylor]: Taking taylor expansion of (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1/3) in a 3.067 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) in a 3.067 * [taylor]: Taking taylor expansion of (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) in a 3.067 * [taylor]: Taking taylor expansion of 1/3 in a 3.067 * [backup-simplify]: Simplify 1/3 into 1/3 3.067 * [taylor]: Taking taylor expansion of (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) in a 3.067 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 3.067 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3.067 * [backup-simplify]: Simplify (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) into (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) 3.067 * [backup-simplify]: Simplify (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) into (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) 3.068 * [backup-simplify]: Simplify (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) into (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1/3) 3.068 * [taylor]: Taking taylor expansion of (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1/3) in a 3.068 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) in a 3.068 * [taylor]: Taking taylor expansion of (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) in a 3.068 * [taylor]: Taking taylor expansion of 1/3 in a 3.068 * [backup-simplify]: Simplify 1/3 into 1/3 3.068 * [taylor]: Taking taylor expansion of (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) in a 3.068 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 3.068 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3.068 * [backup-simplify]: Simplify (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) into (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) 3.068 * [backup-simplify]: Simplify (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) into (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) 3.068 * [backup-simplify]: Simplify (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) into (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1/3) 3.069 * [backup-simplify]: Simplify (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1/3) into (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1/3) 3.070 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1)))) 1) into 0 3.070 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) into 0 3.071 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) (+ (* (/ (pow 0 1) 1)))) into 0 3.071 * [backup-simplify]: Simplify 0 into 0 3.073 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1)))) 2) into 0 3.073 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))))) into 0 3.074 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.074 * [backup-simplify]: Simplify 0 into 0 3.076 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1)))) 6) into 0 3.077 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))))) into 0 3.078 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.078 * [backup-simplify]: Simplify 0 into 0 3.082 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1)))) 24) into 0 3.083 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))))))) into 0 3.085 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.085 * [backup-simplify]: Simplify 0 into 0 3.091 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1)))) 120) into 0 3.092 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))))))) into 0 3.094 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.094 * [backup-simplify]: Simplify 0 into 0 3.118 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1)))) 720) into 0 3.121 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))))))))) into 0 3.129 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.129 * [backup-simplify]: Simplify 0 into 0 3.129 * [backup-simplify]: Simplify (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1/3) into (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1/3) 3.129 * [backup-simplify]: Simplify (cbrt (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a))) into (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 1/3) 3.129 * [approximate]: Taking taylor expansion of (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 1/3) in (a) around 0 3.129 * [taylor]: Taking taylor expansion of (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 1/3) in a 3.129 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a))))) in a 3.129 * [taylor]: Taking taylor expansion of (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)))) in a 3.129 * [taylor]: Taking taylor expansion of 1/3 in a 3.129 * [backup-simplify]: Simplify 1/3 into 1/3 3.129 * [taylor]: Taking taylor expansion of (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a))) in a 3.129 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 3.130 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 3.130 * [backup-simplify]: Simplify (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a))) into (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a))) 3.130 * [backup-simplify]: Simplify (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)))) into (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)))) 3.130 * [backup-simplify]: Simplify (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a))))) into (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 1/3) 3.130 * [taylor]: Taking taylor expansion of (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 1/3) in a 3.130 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a))))) in a 3.130 * [taylor]: Taking taylor expansion of (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)))) in a 3.130 * [taylor]: Taking taylor expansion of 1/3 in a 3.130 * [backup-simplify]: Simplify 1/3 into 1/3 3.130 * [taylor]: Taking taylor expansion of (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a))) in a 3.130 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 3.130 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 3.131 * [backup-simplify]: Simplify (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a))) into (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a))) 3.131 * [backup-simplify]: Simplify (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)))) into (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)))) 3.131 * [backup-simplify]: Simplify (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a))))) into (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 1/3) 3.131 * [backup-simplify]: Simplify (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 1/3) into (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 1/3) 3.132 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 1)))) 1) into 0 3.133 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a))))) into 0 3.133 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.133 * [backup-simplify]: Simplify 0 into 0 3.135 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 1)))) 2) into 0 3.136 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)))))) into 0 3.136 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.137 * [backup-simplify]: Simplify 0 into 0 3.139 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 1)))) 6) into 0 3.140 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a))))))) into 0 3.141 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.141 * [backup-simplify]: Simplify 0 into 0 3.145 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 1)))) 24) into 0 3.146 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)))))))) into 0 3.148 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.148 * [backup-simplify]: Simplify 0 into 0 3.156 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 1)))) 120) into 0 3.159 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a))))))))) into 0 3.163 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.163 * [backup-simplify]: Simplify 0 into 0 3.179 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 1)))) 720) into 0 3.182 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)))))))))) into 0 3.189 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.189 * [backup-simplify]: Simplify 0 into 0 3.189 * [backup-simplify]: Simplify (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 (/ 1 a))))) (atan (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) 1/3) into (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1/3) 3.190 * [backup-simplify]: Simplify (cbrt (fmod (atan2 (expm1 (sin (expm1 (/ 1 (- a))))) (atan (/ 1 (- a)))) (/ 1 (- a)))) into (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 1/3) 3.190 * [approximate]: Taking taylor expansion of (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 1/3) in (a) around 0 3.190 * [taylor]: Taking taylor expansion of (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 1/3) in a 3.190 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a))))) in a 3.190 * [taylor]: Taking taylor expansion of (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)))) in a 3.190 * [taylor]: Taking taylor expansion of 1/3 in a 3.190 * [backup-simplify]: Simplify 1/3 into 1/3 3.190 * [taylor]: Taking taylor expansion of (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a))) in a 3.190 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 3.190 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 3.191 * [backup-simplify]: Simplify (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a))) into (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a))) 3.191 * [backup-simplify]: Simplify (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)))) into (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)))) 3.191 * [backup-simplify]: Simplify (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a))))) into (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 1/3) 3.191 * [taylor]: Taking taylor expansion of (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 1/3) in a 3.191 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a))))) in a 3.192 * [taylor]: Taking taylor expansion of (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)))) in a 3.192 * [taylor]: Taking taylor expansion of 1/3 in a 3.192 * [backup-simplify]: Simplify 1/3 into 1/3 3.192 * [taylor]: Taking taylor expansion of (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a))) in a 3.192 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 3.192 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 3.192 * [backup-simplify]: Simplify (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a))) into (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a))) 3.193 * [backup-simplify]: Simplify (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)))) into (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)))) 3.193 * [backup-simplify]: Simplify (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a))))) into (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 1/3) 3.193 * [backup-simplify]: Simplify (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 1/3) into (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 1/3) 3.195 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 1)))) 1) into 0 3.195 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a))))) into 0 3.197 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.197 * [backup-simplify]: Simplify 0 into 0 3.199 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 1)))) 2) into 0 3.200 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)))))) into 0 3.202 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.202 * [backup-simplify]: Simplify 0 into 0 3.206 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 1)))) 6) into 0 3.207 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a))))))) into 0 3.209 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.209 * [backup-simplify]: Simplify 0 into 0 3.216 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 1)))) 24) into 0 3.218 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)))))))) into 0 3.221 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.221 * [backup-simplify]: Simplify 0 into 0 3.231 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 1)))) 120) into 0 3.233 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a))))))))) into 0 3.238 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.238 * [backup-simplify]: Simplify 0 into 0 3.254 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 1)))) 720) into 0 3.257 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)))))))))) into 0 3.264 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.264 * [backup-simplify]: Simplify 0 into 0 3.265 * [backup-simplify]: Simplify (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 (/ 1 (- a)))))) (atan (/ -1 (/ 1 (- a))))) (/ -1 (/ 1 (- a)))) 1/3) into (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1/3) 3.265 * * * [progress]: simplifying candidates 3.266 * [simplify]: Simplifying: (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 (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 (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 (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (exp (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) (cbrt (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt 1) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (cbrt (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) (cbrt (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))) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (sqrt (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (sqrt (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) (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 (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1/3) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1/3) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1/3) 3.268 * * [simplify]: Extracting # 0 : cost 0 3.268 * * [simplify]: Extracting # 1 : cost 0 3.268 * * [simplify]: Extracting # 2 : cost 0 3.268 * * [simplify]: Extracting # 3 : cost 0 3.268 * * [simplify]: Extracting # 4 : cost 0 3.268 * * [simplify]: Extracting # 5 : cost 0 3.268 * * [simplify]: Extracting # 6 : cost 0 3.268 * * [simplify]: Extracting # 7 : cost 0 3.268 * * [simplify]: Extracting # 8 : cost 0 3.268 * * [simplify]: iteration 0 : 26 enodes (cost 591 ) 3.282 * * [simplify]: Extracting # 0 : cost 0 3.282 * * [simplify]: Extracting # 1 : cost 0 3.282 * * [simplify]: Extracting # 2 : cost 0 3.282 * * [simplify]: Extracting # 3 : cost 0 3.282 * * [simplify]: Extracting # 4 : cost 0 3.282 * * [simplify]: iteration 1 : 35 enodes (cost 587 ) 3.292 * * [simplify]: Extracting # 0 : cost 0 3.292 * * [simplify]: Extracting # 1 : cost 0 3.292 * * [simplify]: Extracting # 2 : cost 0 3.293 * * [simplify]: Extracting # 3 : cost 0 3.293 * * [simplify]: iteration 2 : 63 enodes (cost 473 ) 3.306 * * [simplify]: Extracting # 0 : cost 0 3.306 * * [simplify]: Extracting # 1 : cost 0 3.306 * * [simplify]: Extracting # 2 : cost 0 3.306 * * [simplify]: Extracting # 3 : cost 0 3.307 * * [simplify]: Extracting # 4 : cost 0 3.307 * * [simplify]: iteration 3 : 117 enodes (cost 470 ) 3.377 * * [simplify]: Extracting # 0 : cost 0 3.378 * * [simplify]: Extracting # 1 : cost 0 3.379 * * [simplify]: Extracting # 2 : cost 0 3.380 * * [simplify]: Extracting # 3 : cost 0 3.381 * * [simplify]: Extracting # 4 : cost 0 3.382 * * [simplify]: iteration 4 : 434 enodes (cost 470 ) 4.345 * * [simplify]: Extracting # 0 : cost 0 4.353 * * [simplify]: Extracting # 1 : cost 0 4.360 * * [simplify]: Extracting # 2 : cost 0 4.364 * * [simplify]: Extracting # 3 : cost 0 4.371 * * [simplify]: Extracting # 4 : cost 0 4.375 * * [simplify]: iteration 5 : 2941 enodes (cost 470 ) 7.558 * * [simplify]: Extracting # 0 : cost 0 7.580 * * [simplify]: Extracting # 1 : cost 0 7.592 * * [simplify]: Extracting # 2 : cost 0 7.603 * * [simplify]: Extracting # 3 : cost 0 7.611 * * [simplify]: Extracting # 4 : cost 0 7.617 * * [simplify]: iteration done: 5001 enodes (cost 470 ) 7.618 * [simplify]: Simplified to: (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (exp (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2/3) (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)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2/3) (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)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2/3) (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 (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (exp (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2/3)) (cbrt (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) 1 (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (cbrt (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) (cbrt (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (sqrt (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (sqrt (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) (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) (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)) 7.618 * * * [progress]: adding candidates to table 7.843 * * [progress]: iteration 3 / 4 7.843 * * * [progress]: picking best candidate 7.920 * * * * [pick]: Picked # 7.920 * * * [progress]: localizing error 7.964 * * * [progress]: generating rewritten candidates 7.964 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2 1 1) 7.964 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 2 1 1) 7.964 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1 1 1) 7.965 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1) 7.965 * * * [progress]: generating series expansions 7.965 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2 1 1) 7.965 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 7.965 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 7.965 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 7.966 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 7.966 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 7.966 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 7.966 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 7.966 * [backup-simplify]: Simplify 0 into 0 7.966 * [backup-simplify]: Simplify 0 into 0 7.966 * [backup-simplify]: Simplify 0 into 0 7.966 * [backup-simplify]: Simplify 0 into 0 7.966 * [backup-simplify]: Simplify 0 into 0 7.966 * [backup-simplify]: Simplify 0 into 0 7.966 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 7.966 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 7.966 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 7.966 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 7.966 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 7.967 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 7.967 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 7.967 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 7.967 * [backup-simplify]: Simplify 0 into 0 7.967 * [backup-simplify]: Simplify 0 into 0 7.967 * [backup-simplify]: Simplify 0 into 0 7.967 * [backup-simplify]: Simplify 0 into 0 7.967 * [backup-simplify]: Simplify 0 into 0 7.967 * [backup-simplify]: Simplify 0 into 0 7.967 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 (/ 1 a))))) (atan (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 7.967 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 (- a))))) (atan (/ 1 (- a)))) (/ 1 (- a))) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 7.967 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 7.967 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 7.968 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 7.968 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 7.968 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 7.968 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 7.968 * [backup-simplify]: Simplify 0 into 0 7.968 * [backup-simplify]: Simplify 0 into 0 7.968 * [backup-simplify]: Simplify 0 into 0 7.968 * [backup-simplify]: Simplify 0 into 0 7.968 * [backup-simplify]: Simplify 0 into 0 7.968 * [backup-simplify]: Simplify 0 into 0 7.968 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 (/ 1 (- a)))))) (atan (/ -1 (/ 1 (- a))))) (/ -1 (/ 1 (- a)))) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 7.968 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 2 1 1) 7.968 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 7.968 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 7.968 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 7.969 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 7.969 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 7.969 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 7.969 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 7.969 * [backup-simplify]: Simplify 0 into 0 7.969 * [backup-simplify]: Simplify 0 into 0 7.969 * [backup-simplify]: Simplify 0 into 0 7.969 * [backup-simplify]: Simplify 0 into 0 7.969 * [backup-simplify]: Simplify 0 into 0 7.969 * [backup-simplify]: Simplify 0 into 0 7.969 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 7.969 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 7.969 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 7.969 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 7.969 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 7.969 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 7.970 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 7.970 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 7.970 * [backup-simplify]: Simplify 0 into 0 7.970 * [backup-simplify]: Simplify 0 into 0 7.970 * [backup-simplify]: Simplify 0 into 0 7.970 * [backup-simplify]: Simplify 0 into 0 7.970 * [backup-simplify]: Simplify 0 into 0 7.970 * [backup-simplify]: Simplify 0 into 0 7.970 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 (/ 1 a))))) (atan (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 7.970 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 (- a))))) (atan (/ 1 (- a)))) (/ 1 (- a))) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 7.970 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 7.970 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 7.970 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 7.970 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 7.971 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 7.971 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 7.971 * [backup-simplify]: Simplify 0 into 0 7.971 * [backup-simplify]: Simplify 0 into 0 7.971 * [backup-simplify]: Simplify 0 into 0 7.971 * [backup-simplify]: Simplify 0 into 0 7.971 * [backup-simplify]: Simplify 0 into 0 7.971 * [backup-simplify]: Simplify 0 into 0 7.971 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 (/ 1 (- a)))))) (atan (/ -1 (/ 1 (- a))))) (/ -1 (/ 1 (- a)))) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 7.971 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1 1 1) 7.971 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 7.971 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 7.971 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 7.971 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 7.971 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 7.972 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 7.972 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 7.972 * [backup-simplify]: Simplify 0 into 0 7.972 * [backup-simplify]: Simplify 0 into 0 7.972 * [backup-simplify]: Simplify 0 into 0 7.972 * [backup-simplify]: Simplify 0 into 0 7.972 * [backup-simplify]: Simplify 0 into 0 7.972 * [backup-simplify]: Simplify 0 into 0 7.972 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 7.972 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 7.972 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 7.972 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 7.972 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 7.972 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 7.972 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 7.973 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 7.973 * [backup-simplify]: Simplify 0 into 0 7.973 * [backup-simplify]: Simplify 0 into 0 7.973 * [backup-simplify]: Simplify 0 into 0 7.973 * [backup-simplify]: Simplify 0 into 0 7.973 * [backup-simplify]: Simplify 0 into 0 7.973 * [backup-simplify]: Simplify 0 into 0 7.973 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 (/ 1 a))))) (atan (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 7.973 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 (- a))))) (atan (/ 1 (- a)))) (/ 1 (- a))) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 7.973 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 7.973 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 7.973 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 7.973 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 7.974 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 7.974 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 7.974 * [backup-simplify]: Simplify 0 into 0 7.974 * [backup-simplify]: Simplify 0 into 0 7.974 * [backup-simplify]: Simplify 0 into 0 7.974 * [backup-simplify]: Simplify 0 into 0 7.974 * [backup-simplify]: Simplify 0 into 0 7.974 * [backup-simplify]: Simplify 0 into 0 7.974 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 (/ 1 (- a)))))) (atan (/ -1 (/ 1 (- a))))) (/ -1 (/ 1 (- a)))) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 7.974 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1) 7.974 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 7.974 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 7.974 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 7.974 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 7.974 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 7.975 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 7.975 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 7.975 * [backup-simplify]: Simplify 0 into 0 7.975 * [backup-simplify]: Simplify 0 into 0 7.975 * [backup-simplify]: Simplify 0 into 0 7.975 * [backup-simplify]: Simplify 0 into 0 7.975 * [backup-simplify]: Simplify 0 into 0 7.975 * [backup-simplify]: Simplify 0 into 0 7.975 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 7.975 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 7.975 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 7.975 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 7.975 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 7.975 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 7.975 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 7.976 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 7.976 * [backup-simplify]: Simplify 0 into 0 7.976 * [backup-simplify]: Simplify 0 into 0 7.976 * [backup-simplify]: Simplify 0 into 0 7.976 * [backup-simplify]: Simplify 0 into 0 7.976 * [backup-simplify]: Simplify 0 into 0 7.976 * [backup-simplify]: Simplify 0 into 0 7.976 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 (/ 1 a))))) (atan (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 7.976 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 (- a))))) (atan (/ 1 (- a)))) (/ 1 (- a))) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 7.976 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 7.976 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 7.976 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 7.976 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 7.976 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 7.977 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 7.977 * [backup-simplify]: Simplify 0 into 0 7.977 * [backup-simplify]: Simplify 0 into 0 7.977 * [backup-simplify]: Simplify 0 into 0 7.977 * [backup-simplify]: Simplify 0 into 0 7.977 * [backup-simplify]: Simplify 0 into 0 7.977 * [backup-simplify]: Simplify 0 into 0 7.977 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 (/ 1 (- a)))))) (atan (/ -1 (/ 1 (- a))))) (/ -1 (/ 1 (- a)))) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 7.977 * * * [progress]: simplifying candidates 7.983 * [simplify]: Simplifying: (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 (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 (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 (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)) (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) (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) 7.984 * * [simplify]: Extracting # 0 : cost 0 7.984 * * [simplify]: Extracting # 1 : cost 0 7.984 * * [simplify]: Extracting # 2 : cost 0 7.984 * * [simplify]: Extracting # 3 : cost 0 7.984 * * [simplify]: Extracting # 4 : cost 0 7.984 * * [simplify]: Extracting # 5 : cost 0 7.984 * * [simplify]: Extracting # 6 : cost 0 7.984 * * [simplify]: Extracting # 7 : cost 0 7.984 * * [simplify]: Extracting # 8 : cost 0 7.984 * * [simplify]: iteration 0 : 14 enodes (cost 508 ) 7.986 * * [simplify]: Extracting # 0 : cost 0 7.986 * * [simplify]: iteration 1 : 15 enodes (cost 508 ) 7.989 * * [simplify]: Extracting # 0 : cost 0 7.989 * * [simplify]: Extracting # 1 : cost 0 7.989 * * [simplify]: Extracting # 2 : cost 0 7.989 * * [simplify]: Extracting # 3 : cost 0 7.989 * * [simplify]: iteration 2 : 17 enodes (cost 436 ) 7.995 * * [simplify]: Extracting # 0 : cost 0 7.996 * * [simplify]: Extracting # 1 : cost 0 7.996 * * [simplify]: Extracting # 2 : cost 0 7.996 * * [simplify]: Extracting # 3 : cost 0 7.996 * * [simplify]: Extracting # 4 : cost 0 7.996 * * [simplify]: iteration 3 : 22 enodes (cost 436 ) 8.002 * * [simplify]: Extracting # 0 : cost 0 8.002 * * [simplify]: Extracting # 1 : cost 0 8.002 * * [simplify]: Extracting # 2 : cost 0 8.003 * * [simplify]: Extracting # 3 : cost 0 8.003 * * [simplify]: Extracting # 4 : cost 0 8.003 * * [simplify]: iteration 4 : 28 enodes (cost 436 ) 8.007 * * [simplify]: Extracting # 0 : cost 0 8.007 * * [simplify]: Extracting # 1 : cost 0 8.007 * * [simplify]: Extracting # 2 : cost 0 8.008 * * [simplify]: Extracting # 3 : cost 0 8.008 * * [simplify]: Extracting # 4 : cost 0 8.008 * * [simplify]: iteration 5 : 38 enodes (cost 436 ) 8.014 * * [simplify]: Extracting # 0 : cost 0 8.014 * * [simplify]: Extracting # 1 : cost 0 8.014 * * [simplify]: Extracting # 2 : cost 0 8.014 * * [simplify]: Extracting # 3 : cost 0 8.014 * * [simplify]: Extracting # 4 : cost 0 8.015 * * [simplify]: iteration 6 : 59 enodes (cost 436 ) 8.029 * * [simplify]: Extracting # 0 : cost 0 8.029 * * [simplify]: Extracting # 1 : cost 0 8.029 * * [simplify]: Extracting # 2 : cost 0 8.030 * * [simplify]: Extracting # 3 : cost 0 8.030 * * [simplify]: iteration 7 : 125 enodes (cost 436 ) 8.129 * * [simplify]: Extracting # 0 : cost 0 8.130 * * [simplify]: Extracting # 1 : cost 0 8.130 * * [simplify]: Extracting # 2 : cost 0 8.130 * * [simplify]: Extracting # 3 : cost 0 8.131 * * [simplify]: Extracting # 4 : cost 0 8.131 * * [simplify]: iteration 8 : 406 enodes (cost 436 ) 9.056 * * [simplify]: Extracting # 0 : cost 0 9.058 * * [simplify]: Extracting # 1 : cost 0 9.059 * * [simplify]: Extracting # 2 : cost 0 9.060 * * [simplify]: Extracting # 3 : cost 0 9.062 * * [simplify]: Extracting # 4 : cost 0 9.063 * * [simplify]: iteration 9 : 1820 enodes (cost 436 ) 10.302 * * [simplify]: Extracting # 0 : cost 0 10.306 * * [simplify]: Extracting # 1 : cost 0 10.313 * * [simplify]: Extracting # 2 : cost 0 10.320 * * [simplify]: Extracting # 3 : cost 0 10.331 * * [simplify]: iteration done: 5000 enodes (cost 436 ) 10.332 * [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 (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)) (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) (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) 10.332 * * * [progress]: adding candidates to table 10.555 * * [progress]: iteration 4 / 4 10.556 * * * [progress]: picking best candidate 10.670 * * * * [pick]: Picked # 10.670 * * * [progress]: localizing error 10.767 * * * [progress]: generating rewritten candidates 10.767 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2 1 1) 10.768 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 2 1 1 2 1) 10.768 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 2 1 1 1 2 1) 10.768 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 2 1 1 1 1 1) 10.769 * * * [progress]: generating series expansions 10.769 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2 1 1) 10.769 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 10.769 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 10.769 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 10.769 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 10.769 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 10.770 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 10.770 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 10.770 * [backup-simplify]: Simplify 0 into 0 10.770 * [backup-simplify]: Simplify 0 into 0 10.770 * [backup-simplify]: Simplify 0 into 0 10.770 * [backup-simplify]: Simplify 0 into 0 10.770 * [backup-simplify]: Simplify 0 into 0 10.770 * [backup-simplify]: Simplify 0 into 0 10.770 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 10.770 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 10.770 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 10.770 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 10.770 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 10.770 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 10.770 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 10.771 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 10.771 * [backup-simplify]: Simplify 0 into 0 10.771 * [backup-simplify]: Simplify 0 into 0 10.771 * [backup-simplify]: Simplify 0 into 0 10.771 * [backup-simplify]: Simplify 0 into 0 10.771 * [backup-simplify]: Simplify 0 into 0 10.771 * [backup-simplify]: Simplify 0 into 0 10.771 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 (/ 1 a))))) (atan (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 10.771 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 (- a))))) (atan (/ 1 (- a)))) (/ 1 (- a))) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 10.771 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 10.771 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 10.771 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 10.771 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 10.772 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 10.772 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 10.772 * [backup-simplify]: Simplify 0 into 0 10.772 * [backup-simplify]: Simplify 0 into 0 10.772 * [backup-simplify]: Simplify 0 into 0 10.772 * [backup-simplify]: Simplify 0 into 0 10.772 * [backup-simplify]: Simplify 0 into 0 10.772 * [backup-simplify]: Simplify 0 into 0 10.772 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 (/ 1 (- a)))))) (atan (/ -1 (/ 1 (- a))))) (/ -1 (/ 1 (- a)))) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 10.772 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 2 1 1 2 1) 10.773 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 10.773 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 10.773 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 10.773 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 10.773 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 10.773 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 10.773 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 10.773 * [backup-simplify]: Simplify 0 into 0 10.773 * [backup-simplify]: Simplify 0 into 0 10.773 * [backup-simplify]: Simplify 0 into 0 10.773 * [backup-simplify]: Simplify 0 into 0 10.773 * [backup-simplify]: Simplify 0 into 0 10.773 * [backup-simplify]: Simplify 0 into 0 10.773 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 10.773 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 10.773 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 10.773 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 10.774 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 10.774 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 10.774 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 10.774 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 10.774 * [backup-simplify]: Simplify 0 into 0 10.774 * [backup-simplify]: Simplify 0 into 0 10.774 * [backup-simplify]: Simplify 0 into 0 10.774 * [backup-simplify]: Simplify 0 into 0 10.774 * [backup-simplify]: Simplify 0 into 0 10.774 * [backup-simplify]: Simplify 0 into 0 10.774 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 (/ 1 a))))) (atan (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 10.774 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 (- a))))) (atan (/ 1 (- a)))) (/ 1 (- a))) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 10.774 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 10.774 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 10.775 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 10.775 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 10.775 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 10.775 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 10.775 * [backup-simplify]: Simplify 0 into 0 10.775 * [backup-simplify]: Simplify 0 into 0 10.775 * [backup-simplify]: Simplify 0 into 0 10.775 * [backup-simplify]: Simplify 0 into 0 10.775 * [backup-simplify]: Simplify 0 into 0 10.775 * [backup-simplify]: Simplify 0 into 0 10.775 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 (/ 1 (- a)))))) (atan (/ -1 (/ 1 (- a))))) (/ -1 (/ 1 (- a)))) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 10.775 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 2 1 1 1 2 1) 10.776 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 10.776 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 10.776 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 10.776 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 10.776 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 10.776 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 10.776 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 10.776 * [backup-simplify]: Simplify 0 into 0 10.776 * [backup-simplify]: Simplify 0 into 0 10.776 * [backup-simplify]: Simplify 0 into 0 10.776 * [backup-simplify]: Simplify 0 into 0 10.776 * [backup-simplify]: Simplify 0 into 0 10.776 * [backup-simplify]: Simplify 0 into 0 10.776 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 10.776 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 10.776 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 10.776 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 10.777 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 10.777 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 10.777 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 10.777 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 10.777 * [backup-simplify]: Simplify 0 into 0 10.777 * [backup-simplify]: Simplify 0 into 0 10.777 * [backup-simplify]: Simplify 0 into 0 10.777 * [backup-simplify]: Simplify 0 into 0 10.777 * [backup-simplify]: Simplify 0 into 0 10.777 * [backup-simplify]: Simplify 0 into 0 10.777 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 (/ 1 a))))) (atan (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 10.777 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 (- a))))) (atan (/ 1 (- a)))) (/ 1 (- a))) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 10.777 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 10.777 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 10.778 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 10.778 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 10.778 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 10.778 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 10.778 * [backup-simplify]: Simplify 0 into 0 10.778 * [backup-simplify]: Simplify 0 into 0 10.778 * [backup-simplify]: Simplify 0 into 0 10.778 * [backup-simplify]: Simplify 0 into 0 10.778 * [backup-simplify]: Simplify 0 into 0 10.778 * [backup-simplify]: Simplify 0 into 0 10.778 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 (/ 1 (- a)))))) (atan (/ -1 (/ 1 (- a))))) (/ -1 (/ 1 (- a)))) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 10.778 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 2 1 1 1 1 1) 10.778 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 10.779 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 10.779 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 10.779 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 10.779 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 10.779 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 10.779 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 10.779 * [backup-simplify]: Simplify 0 into 0 10.779 * [backup-simplify]: Simplify 0 into 0 10.779 * [backup-simplify]: Simplify 0 into 0 10.779 * [backup-simplify]: Simplify 0 into 0 10.779 * [backup-simplify]: Simplify 0 into 0 10.779 * [backup-simplify]: Simplify 0 into 0 10.779 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 10.779 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 10.779 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 10.779 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 10.779 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 10.780 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 10.780 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 10.780 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 10.780 * [backup-simplify]: Simplify 0 into 0 10.780 * [backup-simplify]: Simplify 0 into 0 10.780 * [backup-simplify]: Simplify 0 into 0 10.780 * [backup-simplify]: Simplify 0 into 0 10.780 * [backup-simplify]: Simplify 0 into 0 10.780 * [backup-simplify]: Simplify 0 into 0 10.780 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 (/ 1 a))))) (atan (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 10.780 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 (- a))))) (atan (/ 1 (- a)))) (/ 1 (- a))) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 10.780 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 10.780 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 10.781 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 10.781 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 10.781 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 10.781 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 10.781 * [backup-simplify]: Simplify 0 into 0 10.781 * [backup-simplify]: Simplify 0 into 0 10.781 * [backup-simplify]: Simplify 0 into 0 10.781 * [backup-simplify]: Simplify 0 into 0 10.781 * [backup-simplify]: Simplify 0 into 0 10.781 * [backup-simplify]: Simplify 0 into 0 10.782 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 (/ 1 (- a)))))) (atan (/ -1 (/ 1 (- a))))) (/ -1 (/ 1 (- a)))) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 10.782 * * * [progress]: simplifying candidates 10.783 * [simplify]: Simplifying: (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 (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 (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 (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)) (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) (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) 10.784 * * [simplify]: Extracting # 0 : cost 0 10.784 * * [simplify]: Extracting # 1 : cost 0 10.784 * * [simplify]: Extracting # 2 : cost 0 10.784 * * [simplify]: Extracting # 3 : cost 0 10.784 * * [simplify]: Extracting # 4 : cost 0 10.784 * * [simplify]: Extracting # 5 : cost 0 10.784 * * [simplify]: Extracting # 6 : cost 0 10.784 * * [simplify]: Extracting # 7 : cost 0 10.785 * * [simplify]: Extracting # 8 : cost 0 10.785 * * [simplify]: iteration 0 : 14 enodes (cost 508 ) 10.789 * * [simplify]: Extracting # 0 : cost 0 10.789 * * [simplify]: iteration 1 : 15 enodes (cost 508 ) 10.793 * * [simplify]: Extracting # 0 : cost 0 10.793 * * [simplify]: Extracting # 1 : cost 0 10.793 * * [simplify]: Extracting # 2 : cost 0 10.793 * * [simplify]: Extracting # 3 : cost 0 10.793 * * [simplify]: iteration 2 : 17 enodes (cost 436 ) 10.799 * * [simplify]: Extracting # 0 : cost 0 10.799 * * [simplify]: Extracting # 1 : cost 0 10.799 * * [simplify]: Extracting # 2 : cost 0 10.799 * * [simplify]: Extracting # 3 : cost 0 10.800 * * [simplify]: Extracting # 4 : cost 0 10.800 * * [simplify]: iteration 3 : 22 enodes (cost 436 ) 10.807 * * [simplify]: Extracting # 0 : cost 0 10.807 * * [simplify]: Extracting # 1 : cost 0 10.807 * * [simplify]: Extracting # 2 : cost 0 10.807 * * [simplify]: Extracting # 3 : cost 0 10.807 * * [simplify]: Extracting # 4 : cost 0 10.807 * * [simplify]: iteration 4 : 28 enodes (cost 436 ) 10.817 * * [simplify]: Extracting # 0 : cost 0 10.817 * * [simplify]: Extracting # 1 : cost 0 10.817 * * [simplify]: Extracting # 2 : cost 0 10.817 * * [simplify]: Extracting # 3 : cost 0 10.817 * * [simplify]: Extracting # 4 : cost 0 10.817 * * [simplify]: iteration 5 : 38 enodes (cost 436 ) 10.830 * * [simplify]: Extracting # 0 : cost 0 10.831 * * [simplify]: Extracting # 1 : cost 0 10.831 * * [simplify]: Extracting # 2 : cost 0 10.831 * * [simplify]: Extracting # 3 : cost 0 10.831 * * [simplify]: Extracting # 4 : cost 0 10.831 * * [simplify]: iteration 6 : 59 enodes (cost 436 ) 10.860 * * [simplify]: Extracting # 0 : cost 0 10.860 * * [simplify]: Extracting # 1 : cost 0 10.860 * * [simplify]: Extracting # 2 : cost 0 10.860 * * [simplify]: Extracting # 3 : cost 0 10.860 * * [simplify]: iteration 7 : 125 enodes (cost 436 ) 10.950 * * [simplify]: Extracting # 0 : cost 0 10.950 * * [simplify]: Extracting # 1 : cost 0 10.951 * * [simplify]: Extracting # 2 : cost 0 10.952 * * [simplify]: Extracting # 3 : cost 0 10.952 * * [simplify]: Extracting # 4 : cost 0 10.953 * * [simplify]: iteration 8 : 406 enodes (cost 436 ) 12.019 * * [simplify]: Extracting # 0 : cost 0 12.022 * * [simplify]: Extracting # 1 : cost 0 12.024 * * [simplify]: Extracting # 2 : cost 0 12.026 * * [simplify]: Extracting # 3 : cost 0 12.028 * * [simplify]: Extracting # 4 : cost 0 12.030 * * [simplify]: iteration 9 : 1820 enodes (cost 436 ) 13.280 * * [simplify]: Extracting # 0 : cost 0 13.285 * * [simplify]: Extracting # 1 : cost 0 13.291 * * [simplify]: Extracting # 2 : cost 0 13.307 * * [simplify]: Extracting # 3 : cost 0 13.317 * * [simplify]: iteration done: 5000 enodes (cost 436 ) 13.318 * [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 (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)) (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) (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) 13.318 * * * [progress]: adding candidates to table 13.570 * [progress]: [Phase 3 of 3] Extracting. 13.570 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # # #) 13.579 * * * [regime-changes]: Trying 2 branch expressions: ((fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) a) 13.579 * * * * [regimes]: Trying to branch on (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) from (# # # # # # # # # # # # # # # # # #) 13.755 * * * * [regimes]: Trying to branch on a from (# # # # # # # # # # # # # # # # # #) 13.901 * * * [regime]: Found split indices: #