7.146 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.131 * * * [progress]: [2/2] Setting up program. 0.133 * [progress]: [Phase 2 of 3] Improving. 0.133 * [simplify]: Simplifying: (/ (- 1.0 (cos x)) (sin x)) 0.133 * [simplify]: Sending expressions to egg_math: (/ (- h0 (cos h1)) (sin h1)) 0.135 * * [simplify]: iteration 0 : 11 enodes (cost 4 ) 0.137 * * [simplify]: iteration 1 : 14 enodes (cost 4 ) 0.138 * * [simplify]: iteration 2 : 16 enodes (cost 4 ) 0.139 * * [simplify]: iteration 3 : 16 enodes (cost 4 ) 0.140 * * [progress]: iteration 1 / 4 0.140 * * * [progress]: picking best candidate 0.141 * * * * [pick]: Picked # 0.141 * * * [progress]: localizing error 0.148 * * * [progress]: generating rewritten candidates 0.148 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.155 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.182 * * * [progress]: generating series expansions 0.182 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.182 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 0.182 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.182 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.182 * [taylor]: Taking taylor expansion of 1.0 in x 0.182 * [backup-simplify]: Simplify 1.0 into 1.0 0.182 * [taylor]: Taking taylor expansion of (cos x) in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 1 into 1 0.182 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.182 * [taylor]: Taking taylor expansion of 1.0 in x 0.182 * [backup-simplify]: Simplify 1.0 into 1.0 0.182 * [taylor]: Taking taylor expansion of (cos x) in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 1 into 1 0.183 * [backup-simplify]: Simplify (- 1) into -1 0.183 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify (+ 0) into 0 0.184 * [backup-simplify]: Simplify (- 0) into 0 0.184 * [backup-simplify]: Simplify (+ 0 0) into 0 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.185 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.185 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.185 * [backup-simplify]: Simplify 1/2 into 1/2 0.186 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.186 * [backup-simplify]: Simplify (- 0) into 0 0.186 * [backup-simplify]: Simplify (+ 0 0) into 0 0.186 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 0.188 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.188 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.188 * [backup-simplify]: Simplify -1/24 into -1/24 0.189 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.189 * [backup-simplify]: Simplify (- 0) into 0 0.190 * [backup-simplify]: Simplify (+ 0 0) into 0 0.190 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 0.193 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.193 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.193 * [backup-simplify]: Simplify 1/720 into 1/720 0.193 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (pow x 2)))) into (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) 0.193 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.193 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.193 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.193 * [taylor]: Taking taylor expansion of 1.0 in x 0.193 * [backup-simplify]: Simplify 1.0 into 1.0 0.193 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.193 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 1 into 1 0.194 * [backup-simplify]: Simplify (/ 1 1) into 1 0.194 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.194 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.194 * [taylor]: Taking taylor expansion of 1.0 in x 0.194 * [backup-simplify]: Simplify 1.0 into 1.0 0.194 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.194 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 1 into 1 0.194 * [backup-simplify]: Simplify (/ 1 1) into 1 0.194 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.195 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.195 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.195 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.195 * [backup-simplify]: Simplify (- 0) into 0 0.195 * [backup-simplify]: Simplify (+ 0 0) into 0 0.195 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify (- 0) into 0 0.196 * [backup-simplify]: Simplify (+ 0 0) into 0 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify (- 0) into 0 0.196 * [backup-simplify]: Simplify (+ 0 0) into 0 0.196 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify (- 0) into 0 0.197 * [backup-simplify]: Simplify (+ 0 0) into 0 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify (- 0) into 0 0.197 * [backup-simplify]: Simplify (+ 0 0) into 0 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify (- 0) into 0 0.198 * [backup-simplify]: Simplify (+ 0 0) into 0 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 0.198 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 0.198 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.198 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.198 * [taylor]: Taking taylor expansion of 1.0 in x 0.198 * [backup-simplify]: Simplify 1.0 into 1.0 0.198 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.198 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.198 * [taylor]: Taking taylor expansion of -1 in x 0.198 * [backup-simplify]: Simplify -1 into -1 0.198 * [taylor]: Taking taylor expansion of x in x 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 1 into 1 0.198 * [backup-simplify]: Simplify (/ -1 1) into -1 0.198 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.198 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.198 * [taylor]: Taking taylor expansion of 1.0 in x 0.198 * [backup-simplify]: Simplify 1.0 into 1.0 0.198 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.198 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.198 * [taylor]: Taking taylor expansion of -1 in x 0.198 * [backup-simplify]: Simplify -1 into -1 0.199 * [taylor]: Taking taylor expansion of x in x 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 1 into 1 0.199 * [backup-simplify]: Simplify (/ -1 1) into -1 0.199 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.199 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.199 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.199 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 0.199 * [backup-simplify]: Simplify (- 0) into 0 0.200 * [backup-simplify]: Simplify (+ 0 0) into 0 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify (- 0) into 0 0.200 * [backup-simplify]: Simplify (+ 0 0) into 0 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify (- 0) into 0 0.201 * [backup-simplify]: Simplify (+ 0 0) into 0 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify (- 0) into 0 0.201 * [backup-simplify]: Simplify (+ 0 0) into 0 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify (- 0) into 0 0.201 * [backup-simplify]: Simplify (+ 0 0) into 0 0.201 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify (- 0) into 0 0.202 * [backup-simplify]: Simplify (+ 0 0) into 0 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 0.202 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.202 * [backup-simplify]: Simplify (/ (- 1.0 (cos x)) (sin x)) into (/ (- 1.0 (cos x)) (sin x)) 0.202 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.202 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.202 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.202 * [taylor]: Taking taylor expansion of 1.0 in x 0.202 * [backup-simplify]: Simplify 1.0 into 1.0 0.202 * [taylor]: Taking taylor expansion of (cos x) in x 0.202 * [taylor]: Taking taylor expansion of x in x 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 1 into 1 0.202 * [taylor]: Taking taylor expansion of (sin x) in x 0.202 * [taylor]: Taking taylor expansion of x in x 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 1 into 1 0.203 * [backup-simplify]: Simplify (- 1) into -1 0.203 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.203 * [backup-simplify]: Simplify (+ 0) into 0 0.203 * [backup-simplify]: Simplify (- 0) into 0 0.204 * [backup-simplify]: Simplify (+ 0 0) into 0 0.204 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.204 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.205 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.205 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 0.206 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.206 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.206 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.206 * [taylor]: Taking taylor expansion of 1.0 in x 0.206 * [backup-simplify]: Simplify 1.0 into 1.0 0.206 * [taylor]: Taking taylor expansion of (cos x) in x 0.206 * [taylor]: Taking taylor expansion of x in x 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 1 into 1 0.206 * [taylor]: Taking taylor expansion of (sin x) in x 0.206 * [taylor]: Taking taylor expansion of x in x 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 1 into 1 0.206 * [backup-simplify]: Simplify (- 1) into -1 0.206 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.207 * [backup-simplify]: Simplify (+ 0) into 0 0.207 * [backup-simplify]: Simplify (- 0) into 0 0.207 * [backup-simplify]: Simplify (+ 0 0) into 0 0.208 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.208 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.208 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.209 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 0.209 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.209 * [backup-simplify]: Simplify 1/2 into 1/2 0.210 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.210 * [backup-simplify]: Simplify (- 0) into 0 0.210 * [backup-simplify]: Simplify (+ 0 0) into 0 0.211 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.211 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 0.213 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.213 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.214 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 0.215 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/24 0.215 * [backup-simplify]: Simplify 1/24 into 1/24 0.216 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.216 * [backup-simplify]: Simplify (- 0) into 0 0.216 * [backup-simplify]: Simplify (+ 0 0) into 0 0.218 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/24 (/ 0 1)))) into 0 0.219 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 0.221 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.222 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.223 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 0.224 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 1/120 1)) (* 0 (/ 0 1)) (* 1/24 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/240 0.224 * [backup-simplify]: Simplify 1/240 into 1/240 0.225 * [backup-simplify]: Simplify (+ (* 1/240 (pow x 5)) (+ (* 1/24 (pow x 3)) (* 1/2 x))) into (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) 0.225 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 0.225 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.225 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.225 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.225 * [taylor]: Taking taylor expansion of 1.0 in x 0.225 * [backup-simplify]: Simplify 1.0 into 1.0 0.225 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.225 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.225 * [taylor]: Taking taylor expansion of x in x 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 1 into 1 0.225 * [backup-simplify]: Simplify (/ 1 1) into 1 0.225 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.225 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.225 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.225 * [taylor]: Taking taylor expansion of x in x 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 1 into 1 0.226 * [backup-simplify]: Simplify (/ 1 1) into 1 0.226 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 0.226 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.226 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.226 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 0.226 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.226 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.226 * [taylor]: Taking taylor expansion of 1.0 in x 0.226 * [backup-simplify]: Simplify 1.0 into 1.0 0.226 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.226 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 1 into 1 0.226 * [backup-simplify]: Simplify (/ 1 1) into 1 0.226 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.227 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.227 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [backup-simplify]: Simplify (/ 1 1) into 1 0.227 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 0.227 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.227 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.227 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 0.227 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 0.227 * [backup-simplify]: Simplify (- 0) into 0 0.228 * [backup-simplify]: Simplify (+ 0 0) into 0 0.228 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))))) into 0 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify (- 0) into 0 0.228 * [backup-simplify]: Simplify (+ 0 0) into 0 0.229 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify (- 0) into 0 0.229 * [backup-simplify]: Simplify (+ 0 0) into 0 0.229 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 0.229 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify (- 0) into 0 0.230 * [backup-simplify]: Simplify (+ 0 0) into 0 0.230 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 0.230 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify (- 0) into 0 0.231 * [backup-simplify]: Simplify (+ 0 0) into 0 0.231 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify (- 0) into 0 0.232 * [backup-simplify]: Simplify (+ 0 0) into 0 0.232 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (/ 1 x)))) (sin (/ 1 (/ 1 x)))) into (/ (- 1.0 (cos x)) (sin x)) 0.232 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (- x)))) (sin (/ 1 (- x)))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 0.232 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.232 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.232 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.232 * [taylor]: Taking taylor expansion of 1.0 in x 0.232 * [backup-simplify]: Simplify 1.0 into 1.0 0.232 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.232 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.233 * [taylor]: Taking taylor expansion of -1 in x 0.233 * [backup-simplify]: Simplify -1 into -1 0.233 * [taylor]: Taking taylor expansion of x in x 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 1 into 1 0.233 * [backup-simplify]: Simplify (/ -1 1) into -1 0.233 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.233 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.233 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.233 * [taylor]: Taking taylor expansion of -1 in x 0.233 * [backup-simplify]: Simplify -1 into -1 0.233 * [taylor]: Taking taylor expansion of x in x 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 1 into 1 0.233 * [backup-simplify]: Simplify (/ -1 1) into -1 0.233 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 0.233 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.233 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.234 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 0.234 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.234 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.234 * [taylor]: Taking taylor expansion of 1.0 in x 0.234 * [backup-simplify]: Simplify 1.0 into 1.0 0.234 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.234 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.234 * [taylor]: Taking taylor expansion of -1 in x 0.234 * [backup-simplify]: Simplify -1 into -1 0.234 * [taylor]: Taking taylor expansion of x in x 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify 1 into 1 0.234 * [backup-simplify]: Simplify (/ -1 1) into -1 0.234 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.234 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.234 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.234 * [taylor]: Taking taylor expansion of -1 in x 0.234 * [backup-simplify]: Simplify -1 into -1 0.234 * [taylor]: Taking taylor expansion of x in x 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify 1 into 1 0.234 * [backup-simplify]: Simplify (/ -1 1) into -1 0.234 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 0.235 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.235 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.235 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 0.235 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 0.235 * [backup-simplify]: Simplify (- 0) into 0 0.235 * [backup-simplify]: Simplify (+ 0 0) into 0 0.236 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))))) into 0 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify (- 0) into 0 0.236 * [backup-simplify]: Simplify (+ 0 0) into 0 0.236 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 0.236 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify (- 0) into 0 0.237 * [backup-simplify]: Simplify (+ 0 0) into 0 0.237 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify (- 0) into 0 0.238 * [backup-simplify]: Simplify (+ 0 0) into 0 0.238 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 0.238 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify (- 0) into 0 0.238 * [backup-simplify]: Simplify (+ 0 0) into 0 0.239 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify (- 0) into 0 0.239 * [backup-simplify]: Simplify (+ 0 0) into 0 0.240 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 0.240 * [backup-simplify]: Simplify 0 into 0 0.240 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 (/ 1 (- x))))) (sin (/ -1 (/ 1 (- x))))) into (/ (- 1.0 (cos x)) (sin x)) 0.240 * * * [progress]: simplifying candidates 0.241 * [simplify]: Simplifying: (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma 1 1.0 (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma 1 1.0 (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma 1 1.0 (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (expm1 (/ (- 1.0 (cos x)) (sin x))) (log1p (/ (- 1.0 (cos x)) (sin x))) (- (log (- 1.0 (cos x))) (log (sin x))) (log (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (sin x) (sin x)) (sin x))) (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) (cbrt (/ (- 1.0 (cos x)) (sin x))) (* (* (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x))) (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (- (- 1.0 (cos x))) (- (sin x)) (/ 1.0 (sin x)) (/ (cos x) (sin x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x))) (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) (/ (cbrt (- 1.0 (cos x))) (sin x)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) 1) (/ (sqrt (- 1.0 (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ 1 1) (/ (- 1.0 (cos x)) (sin x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) (/ (- (sqrt 1.0) (sqrt (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ 1 1) (/ (- 1.0 (cos x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ (- 1.0 (cos x)) 1) (/ (sin x) (cbrt (- 1.0 (cos x)))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (sin x) (- 1.0 (cos x))) (* (sin x) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* (sin x) (+ 1.0 (cos x))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 0.241 * [simplify]: Sending expressions to egg_math: (fma (* (cbrt h0) (cbrt h0)) (cbrt h0) (- (* (cbrt (cos h1)) (* (cbrt (cos h1)) (cbrt (cos h1)))))) (fma (- (cbrt (cos h1))) (* (cbrt (cos h1)) (cbrt (cos h1))) (* (cbrt (cos h1)) (* (cbrt (cos h1)) (cbrt (cos h1))))) (fma (* (cbrt h0) (cbrt h0)) (cbrt h0) (- (* (sqrt (cos h1)) (sqrt (cos h1))))) (fma (- (sqrt (cos h1))) (sqrt (cos h1)) (* (sqrt (cos h1)) (sqrt (cos h1)))) (fma (* (cbrt h0) (cbrt h0)) (cbrt h0) (- (* (cos h1) 1))) (fma (- (cos h1)) 1 (* (cos h1) 1)) (fma (sqrt h0) (sqrt h0) (- (* (cbrt (cos h1)) (* (cbrt (cos h1)) (cbrt (cos h1)))))) (fma (- (cbrt (cos h1))) (* (cbrt (cos h1)) (cbrt (cos h1))) (* (cbrt (cos h1)) (* (cbrt (cos h1)) (cbrt (cos h1))))) (fma (sqrt h0) (sqrt h0) (- (* (sqrt (cos h1)) (sqrt (cos h1))))) (fma (- (sqrt (cos h1))) (sqrt (cos h1)) (* (sqrt (cos h1)) (sqrt (cos h1)))) (fma (sqrt h0) (sqrt h0) (- (* (cos h1) 1))) (fma (- (cos h1)) 1 (* (cos h1) 1)) (fma 1 h0 (- (* (cbrt (cos h1)) (* (cbrt (cos h1)) (cbrt (cos h1)))))) (fma (- (cbrt (cos h1))) (* (cbrt (cos h1)) (cbrt (cos h1))) (* (cbrt (cos h1)) (* (cbrt (cos h1)) (cbrt (cos h1))))) (fma 1 h0 (- (* (sqrt (cos h1)) (sqrt (cos h1))))) (fma (- (sqrt (cos h1))) (sqrt (cos h1)) (* (sqrt (cos h1)) (sqrt (cos h1)))) (fma 1 h0 (- (* (cos h1) 1))) (fma (- (cos h1)) 1 (* (cos h1) 1)) (expm1 (- h0 (cos h1))) (log1p (- h0 (cos h1))) (- (cos h1)) (- (cos h1)) (- (cos h1)) (/ (exp h0) (exp (cos h1))) (log (- h0 (cos h1))) (exp (- h0 (cos h1))) (* (cbrt (- h0 (cos h1))) (cbrt (- h0 (cos h1)))) (cbrt (- h0 (cos h1))) (* (* (- h0 (cos h1)) (- h0 (cos h1))) (- h0 (cos h1))) (sqrt (- h0 (cos h1))) (sqrt (- h0 (cos h1))) (- (pow h0 3) (pow (cos h1) 3)) (+ (* h0 h0) (+ (* (cos h1) (cos h1)) (* h0 (cos h1)))) (- (cos h1)) (- (* h0 h0) (* (cos h1) (cos h1))) (+ h0 (cos h1)) (+ (sqrt h0) (sqrt (cos h1))) (- (sqrt h0) (sqrt (cos h1))) (- h0 (cos h1)) (- (cos h1)) (expm1 (/ (- h0 (cos h1)) (sin h1))) (log1p (/ (- h0 (cos h1)) (sin h1))) (- (log (- h0 (cos h1))) (log (sin h1))) (log (/ (- h0 (cos h1)) (sin h1))) (exp (/ (- h0 (cos h1)) (sin h1))) (/ (* (* (- h0 (cos h1)) (- h0 (cos h1))) (- h0 (cos h1))) (* (* (sin h1) (sin h1)) (sin h1))) (* (cbrt (/ (- h0 (cos h1)) (sin h1))) (cbrt (/ (- h0 (cos h1)) (sin h1)))) (cbrt (/ (- h0 (cos h1)) (sin h1))) (* (* (/ (- h0 (cos h1)) (sin h1)) (/ (- h0 (cos h1)) (sin h1))) (/ (- h0 (cos h1)) (sin h1))) (sqrt (/ (- h0 (cos h1)) (sin h1))) (sqrt (/ (- h0 (cos h1)) (sin h1))) (- (- h0 (cos h1))) (- (sin h1)) (/ h0 (sin h1)) (/ (cos h1) (sin h1)) (/ (* (cbrt (- h0 (cos h1))) (cbrt (- h0 (cos h1)))) (* (cbrt (sin h1)) (cbrt (sin h1)))) (/ (cbrt (- h0 (cos h1))) (cbrt (sin h1))) (/ (* (cbrt (- h0 (cos h1))) (cbrt (- h0 (cos h1)))) (sqrt (sin h1))) (/ (cbrt (- h0 (cos h1))) (sqrt (sin h1))) (/ (* (cbrt (- h0 (cos h1))) (cbrt (- h0 (cos h1)))) 1) (/ (cbrt (- h0 (cos h1))) (sin h1)) (/ (sqrt (- h0 (cos h1))) (* (cbrt (sin h1)) (cbrt (sin h1)))) (/ (sqrt (- h0 (cos h1))) (cbrt (sin h1))) (/ (sqrt (- h0 (cos h1))) (sqrt (sin h1))) (/ (sqrt (- h0 (cos h1))) (sqrt (sin h1))) (/ (sqrt (- h0 (cos h1))) 1) (/ (sqrt (- h0 (cos h1))) (sin h1)) (/ 1 (* (cbrt (sin h1)) (cbrt (sin h1)))) (/ (- h0 (cos h1)) (cbrt (sin h1))) (/ 1 (sqrt (sin h1))) (/ (- h0 (cos h1)) (sqrt (sin h1))) (/ 1 1) (/ (- h0 (cos h1)) (sin h1)) (/ (+ (sqrt h0) (sqrt (cos h1))) (* (cbrt (sin h1)) (cbrt (sin h1)))) (/ (- (sqrt h0) (sqrt (cos h1))) (cbrt (sin h1))) (/ (+ (sqrt h0) (sqrt (cos h1))) (sqrt (sin h1))) (/ (- (sqrt h0) (sqrt (cos h1))) (sqrt (sin h1))) (/ (+ (sqrt h0) (sqrt (cos h1))) 1) (/ (- (sqrt h0) (sqrt (cos h1))) (sin h1)) (/ 1 (* (cbrt (sin h1)) (cbrt (sin h1)))) (/ (- h0 (cos h1)) (cbrt (sin h1))) (/ 1 (sqrt (sin h1))) (/ (- h0 (cos h1)) (sqrt (sin h1))) (/ 1 1) (/ (- h0 (cos h1)) (sin h1)) (/ 1 (sin h1)) (/ (sin h1) (- h0 (cos h1))) (/ (- h0 (cos h1)) (* (cbrt (sin h1)) (cbrt (sin h1)))) (/ (- h0 (cos h1)) (sqrt (sin h1))) (/ (- h0 (cos h1)) 1) (/ (sin h1) (cbrt (- h0 (cos h1)))) (/ (sin h1) (sqrt (- h0 (cos h1)))) (/ (sin h1) (- h0 (cos h1))) (/ (sin h1) (- (sqrt h0) (sqrt (cos h1)))) (/ (sin h1) (- h0 (cos h1))) (* (sin h1) (+ (* h0 h0) (+ (* (cos h1) (cos h1)) (* h0 (cos h1))))) (* (sin h1) (+ h0 (cos h1))) (- (+ (* 1/2 (pow h1 2)) (* 1/720 (pow h1 6))) (* 1/24 (pow h1 4))) (- h0 (cos h1)) (- h0 (cos h1)) (+ (* 1/24 (pow h1 3)) (+ (* 1/240 (pow h1 5)) (* 1/2 h1))) (/ (- h0 (cos h1)) (sin h1)) (/ (- h0 (cos h1)) (sin h1)) 0.246 * * [simplify]: iteration 0 : 292 enodes (cost 569 ) 0.251 * * [simplify]: iteration 1 : 965 enodes (cost 460 ) 0.272 * * [simplify]: iteration 2 : 5002 enodes (cost 460 ) 0.275 * * * [progress]: adding candidates to table 0.426 * * [progress]: iteration 2 / 4 0.426 * * * [progress]: picking best candidate 0.450 * * * * [pick]: Picked # 0.450 * * * [progress]: localizing error 0.462 * * * [progress]: generating rewritten candidates 0.462 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.469 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.499 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.509 * * * [progress]: generating series expansions 0.509 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.509 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 0.509 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.509 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.509 * [taylor]: Taking taylor expansion of 1.0 in x 0.509 * [backup-simplify]: Simplify 1.0 into 1.0 0.509 * [taylor]: Taking taylor expansion of (cos x) in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.509 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify 1 into 1 0.509 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.509 * [taylor]: Taking taylor expansion of 1.0 in x 0.509 * [backup-simplify]: Simplify 1.0 into 1.0 0.509 * [taylor]: Taking taylor expansion of (cos x) in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.509 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify 1 into 1 0.510 * [backup-simplify]: Simplify (- 1) into -1 0.510 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.510 * [backup-simplify]: Simplify 0 into 0 0.510 * [backup-simplify]: Simplify (+ 0) into 0 0.510 * [backup-simplify]: Simplify (- 0) into 0 0.511 * [backup-simplify]: Simplify (+ 0 0) into 0 0.511 * [backup-simplify]: Simplify 0 into 0 0.511 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.511 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.512 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.512 * [backup-simplify]: Simplify 1/2 into 1/2 0.512 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.513 * [backup-simplify]: Simplify (- 0) into 0 0.513 * [backup-simplify]: Simplify (+ 0 0) into 0 0.513 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 0.515 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.515 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.515 * [backup-simplify]: Simplify -1/24 into -1/24 0.516 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.516 * [backup-simplify]: Simplify (- 0) into 0 0.516 * [backup-simplify]: Simplify (+ 0 0) into 0 0.517 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 0.519 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.520 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.520 * [backup-simplify]: Simplify 1/720 into 1/720 0.520 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (pow x 2)))) into (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) 0.520 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.520 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.520 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.520 * [taylor]: Taking taylor expansion of 1.0 in x 0.520 * [backup-simplify]: Simplify 1.0 into 1.0 0.520 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.520 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.520 * [taylor]: Taking taylor expansion of x in x 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify 1 into 1 0.520 * [backup-simplify]: Simplify (/ 1 1) into 1 0.520 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.521 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.521 * [taylor]: Taking taylor expansion of 1.0 in x 0.521 * [backup-simplify]: Simplify 1.0 into 1.0 0.521 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.521 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.521 * [taylor]: Taking taylor expansion of x in x 0.521 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify 1 into 1 0.521 * [backup-simplify]: Simplify (/ 1 1) into 1 0.521 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.521 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.521 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.521 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.521 * [backup-simplify]: Simplify (- 0) into 0 0.522 * [backup-simplify]: Simplify (+ 0 0) into 0 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify (- 0) into 0 0.522 * [backup-simplify]: Simplify (+ 0 0) into 0 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify (- 0) into 0 0.523 * [backup-simplify]: Simplify (+ 0 0) into 0 0.523 * [backup-simplify]: Simplify 0 into 0 0.523 * [backup-simplify]: Simplify (- 0) into 0 0.523 * [backup-simplify]: Simplify (+ 0 0) into 0 0.523 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify (- 0) into 0 0.524 * [backup-simplify]: Simplify (+ 0 0) into 0 0.524 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify (- 0) into 0 0.524 * [backup-simplify]: Simplify (+ 0 0) into 0 0.524 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 0.524 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 0.524 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.524 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.524 * [taylor]: Taking taylor expansion of 1.0 in x 0.524 * [backup-simplify]: Simplify 1.0 into 1.0 0.525 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.525 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.525 * [taylor]: Taking taylor expansion of -1 in x 0.525 * [backup-simplify]: Simplify -1 into -1 0.525 * [taylor]: Taking taylor expansion of x in x 0.525 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify 1 into 1 0.529 * [backup-simplify]: Simplify (/ -1 1) into -1 0.529 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.529 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.529 * [taylor]: Taking taylor expansion of 1.0 in x 0.529 * [backup-simplify]: Simplify 1.0 into 1.0 0.529 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.529 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.529 * [taylor]: Taking taylor expansion of -1 in x 0.529 * [backup-simplify]: Simplify -1 into -1 0.529 * [taylor]: Taking taylor expansion of x in x 0.529 * [backup-simplify]: Simplify 0 into 0 0.529 * [backup-simplify]: Simplify 1 into 1 0.530 * [backup-simplify]: Simplify (/ -1 1) into -1 0.530 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.530 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.530 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.530 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 0.530 * [backup-simplify]: Simplify (- 0) into 0 0.530 * [backup-simplify]: Simplify (+ 0 0) into 0 0.530 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify (- 0) into 0 0.531 * [backup-simplify]: Simplify (+ 0 0) into 0 0.531 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify (- 0) into 0 0.531 * [backup-simplify]: Simplify (+ 0 0) into 0 0.531 * [backup-simplify]: Simplify 0 into 0 0.532 * [backup-simplify]: Simplify (- 0) into 0 0.532 * [backup-simplify]: Simplify (+ 0 0) into 0 0.532 * [backup-simplify]: Simplify 0 into 0 0.532 * [backup-simplify]: Simplify (- 0) into 0 0.532 * [backup-simplify]: Simplify (+ 0 0) into 0 0.532 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify (- 0) into 0 0.533 * [backup-simplify]: Simplify (+ 0 0) into 0 0.533 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 0.533 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.533 * [backup-simplify]: Simplify (* (- 1.0 (cos x)) (/ 1 (sin x))) into (/ (- 1.0 (cos x)) (sin x)) 0.533 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.533 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.533 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.533 * [taylor]: Taking taylor expansion of 1.0 in x 0.533 * [backup-simplify]: Simplify 1.0 into 1.0 0.533 * [taylor]: Taking taylor expansion of (cos x) in x 0.533 * [taylor]: Taking taylor expansion of x in x 0.533 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify 1 into 1 0.533 * [taylor]: Taking taylor expansion of (sin x) in x 0.533 * [taylor]: Taking taylor expansion of x in x 0.533 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify 1 into 1 0.533 * [backup-simplify]: Simplify (- 1) into -1 0.534 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.534 * [backup-simplify]: Simplify (+ 0) into 0 0.534 * [backup-simplify]: Simplify (- 0) into 0 0.534 * [backup-simplify]: Simplify (+ 0 0) into 0 0.535 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.535 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.535 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.536 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 0.536 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.536 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.536 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.536 * [taylor]: Taking taylor expansion of 1.0 in x 0.536 * [backup-simplify]: Simplify 1.0 into 1.0 0.536 * [taylor]: Taking taylor expansion of (cos x) in x 0.536 * [taylor]: Taking taylor expansion of x in x 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify 1 into 1 0.536 * [taylor]: Taking taylor expansion of (sin x) in x 0.536 * [taylor]: Taking taylor expansion of x in x 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify 1 into 1 0.537 * [backup-simplify]: Simplify (- 1) into -1 0.537 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.537 * [backup-simplify]: Simplify (+ 0) into 0 0.537 * [backup-simplify]: Simplify (- 0) into 0 0.538 * [backup-simplify]: Simplify (+ 0 0) into 0 0.538 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.538 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.539 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.539 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 0.539 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.539 * [backup-simplify]: Simplify 1/2 into 1/2 0.540 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.540 * [backup-simplify]: Simplify (- 0) into 0 0.540 * [backup-simplify]: Simplify (+ 0 0) into 0 0.541 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.541 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.541 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 0.543 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.543 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.544 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 0.545 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/24 0.545 * [backup-simplify]: Simplify 1/24 into 1/24 0.546 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.546 * [backup-simplify]: Simplify (- 0) into 0 0.547 * [backup-simplify]: Simplify (+ 0 0) into 0 0.547 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/24 (/ 0 1)))) into 0 0.548 * [backup-simplify]: Simplify 0 into 0 0.551 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 0.551 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.551 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.553 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 0.554 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 1/120 1)) (* 0 (/ 0 1)) (* 1/24 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/240 0.554 * [backup-simplify]: Simplify 1/240 into 1/240 0.554 * [backup-simplify]: Simplify (+ (* 1/240 (pow x 5)) (+ (* 1/24 (pow x 3)) (* 1/2 x))) into (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) 0.555 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 x))) (/ 1 (sin (/ 1 x)))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 0.555 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.555 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.555 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.555 * [taylor]: Taking taylor expansion of 1.0 in x 0.555 * [backup-simplify]: Simplify 1.0 into 1.0 0.555 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.555 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.555 * [taylor]: Taking taylor expansion of x in x 0.555 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify 1 into 1 0.555 * [backup-simplify]: Simplify (/ 1 1) into 1 0.555 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.555 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.555 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.555 * [taylor]: Taking taylor expansion of x in x 0.555 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify 1 into 1 0.555 * [backup-simplify]: Simplify (/ 1 1) into 1 0.555 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 0.555 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.556 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.556 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 0.556 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.556 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.556 * [taylor]: Taking taylor expansion of 1.0 in x 0.556 * [backup-simplify]: Simplify 1.0 into 1.0 0.556 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.556 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.556 * [backup-simplify]: Simplify 0 into 0 0.556 * [backup-simplify]: Simplify 1 into 1 0.556 * [backup-simplify]: Simplify (/ 1 1) into 1 0.556 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.556 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.556 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.556 * [backup-simplify]: Simplify 0 into 0 0.556 * [backup-simplify]: Simplify 1 into 1 0.556 * [backup-simplify]: Simplify (/ 1 1) into 1 0.556 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 0.557 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.557 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.557 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 0.557 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 0.557 * [backup-simplify]: Simplify (- 0) into 0 0.557 * [backup-simplify]: Simplify (+ 0 0) into 0 0.557 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))))) into 0 0.558 * [backup-simplify]: Simplify 0 into 0 0.558 * [backup-simplify]: Simplify (- 0) into 0 0.558 * [backup-simplify]: Simplify (+ 0 0) into 0 0.558 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 0.558 * [backup-simplify]: Simplify 0 into 0 0.558 * [backup-simplify]: Simplify (- 0) into 0 0.559 * [backup-simplify]: Simplify (+ 0 0) into 0 0.559 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 0.559 * [backup-simplify]: Simplify 0 into 0 0.559 * [backup-simplify]: Simplify (- 0) into 0 0.560 * [backup-simplify]: Simplify (+ 0 0) into 0 0.560 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 0.560 * [backup-simplify]: Simplify 0 into 0 0.560 * [backup-simplify]: Simplify (- 0) into 0 0.560 * [backup-simplify]: Simplify (+ 0 0) into 0 0.561 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 0.561 * [backup-simplify]: Simplify 0 into 0 0.561 * [backup-simplify]: Simplify (- 0) into 0 0.561 * [backup-simplify]: Simplify (+ 0 0) into 0 0.562 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 0.562 * [backup-simplify]: Simplify 0 into 0 0.562 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (/ 1 x)))) (sin (/ 1 (/ 1 x)))) into (/ (- 1.0 (cos x)) (sin x)) 0.562 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (- x)))) (/ 1 (sin (/ 1 (- x))))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 0.562 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.562 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.562 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.562 * [taylor]: Taking taylor expansion of 1.0 in x 0.562 * [backup-simplify]: Simplify 1.0 into 1.0 0.562 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.562 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.562 * [taylor]: Taking taylor expansion of -1 in x 0.562 * [backup-simplify]: Simplify -1 into -1 0.562 * [taylor]: Taking taylor expansion of x in x 0.562 * [backup-simplify]: Simplify 0 into 0 0.562 * [backup-simplify]: Simplify 1 into 1 0.562 * [backup-simplify]: Simplify (/ -1 1) into -1 0.563 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.563 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.563 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.563 * [taylor]: Taking taylor expansion of -1 in x 0.563 * [backup-simplify]: Simplify -1 into -1 0.563 * [taylor]: Taking taylor expansion of x in x 0.563 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify 1 into 1 0.563 * [backup-simplify]: Simplify (/ -1 1) into -1 0.563 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 0.563 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.563 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.563 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 0.563 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.563 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.563 * [taylor]: Taking taylor expansion of 1.0 in x 0.563 * [backup-simplify]: Simplify 1.0 into 1.0 0.563 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.563 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.563 * [taylor]: Taking taylor expansion of -1 in x 0.563 * [backup-simplify]: Simplify -1 into -1 0.563 * [taylor]: Taking taylor expansion of x in x 0.563 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify 1 into 1 0.564 * [backup-simplify]: Simplify (/ -1 1) into -1 0.564 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.564 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.564 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.564 * [taylor]: Taking taylor expansion of -1 in x 0.564 * [backup-simplify]: Simplify -1 into -1 0.564 * [taylor]: Taking taylor expansion of x in x 0.564 * [backup-simplify]: Simplify 0 into 0 0.564 * [backup-simplify]: Simplify 1 into 1 0.564 * [backup-simplify]: Simplify (/ -1 1) into -1 0.564 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 0.564 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.564 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.564 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 0.564 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 0.565 * [backup-simplify]: Simplify (- 0) into 0 0.565 * [backup-simplify]: Simplify (+ 0 0) into 0 0.565 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))))) into 0 0.565 * [backup-simplify]: Simplify 0 into 0 0.565 * [backup-simplify]: Simplify (- 0) into 0 0.566 * [backup-simplify]: Simplify (+ 0 0) into 0 0.566 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 0.566 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify (- 0) into 0 0.566 * [backup-simplify]: Simplify (+ 0 0) into 0 0.567 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [backup-simplify]: Simplify (- 0) into 0 0.567 * [backup-simplify]: Simplify (+ 0 0) into 0 0.568 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 0.568 * [backup-simplify]: Simplify 0 into 0 0.568 * [backup-simplify]: Simplify (- 0) into 0 0.568 * [backup-simplify]: Simplify (+ 0 0) into 0 0.568 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 0.568 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify (- 0) into 0 0.569 * [backup-simplify]: Simplify (+ 0 0) into 0 0.569 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 0.569 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 (/ 1 (- x))))) (sin (/ -1 (/ 1 (- x))))) into (/ (- 1.0 (cos x)) (sin x)) 0.570 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.570 * [backup-simplify]: Simplify (/ 1 (sin x)) into (/ 1 (sin x)) 0.570 * [approximate]: Taking taylor expansion of (/ 1 (sin x)) in (x) around 0 0.570 * [taylor]: Taking taylor expansion of (/ 1 (sin x)) in x 0.570 * [taylor]: Taking taylor expansion of (sin x) in x 0.570 * [taylor]: Taking taylor expansion of x in x 0.570 * [backup-simplify]: Simplify 0 into 0 0.570 * [backup-simplify]: Simplify 1 into 1 0.570 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 0.570 * [backup-simplify]: Simplify (/ 1 1) into 1 0.570 * [taylor]: Taking taylor expansion of (/ 1 (sin x)) in x 0.570 * [taylor]: Taking taylor expansion of (sin x) in x 0.570 * [taylor]: Taking taylor expansion of x in x 0.570 * [backup-simplify]: Simplify 0 into 0 0.570 * [backup-simplify]: Simplify 1 into 1 0.571 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 0.571 * [backup-simplify]: Simplify (/ 1 1) into 1 0.571 * [backup-simplify]: Simplify 1 into 1 0.572 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.572 * [backup-simplify]: Simplify 0 into 0 0.573 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 0.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6 0.574 * [backup-simplify]: Simplify 1/6 into 1/6 0.575 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/6 (/ 0 1)))) into 0 0.576 * [backup-simplify]: Simplify 0 into 0 0.578 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 0.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/120 1)) (* 0 (/ 0 1)) (* 1/6 (/ -1/6 1)) (* 0 (/ 0 1)))) into 7/360 0.578 * [backup-simplify]: Simplify 7/360 into 7/360 0.579 * [backup-simplify]: Simplify (+ (* 7/360 (pow x 3)) (+ (* 1/6 x) (* 1 (/ 1 x)))) into (+ (* 7/360 (pow x 3)) (+ (/ 1 x) (* 1/6 x))) 0.579 * [backup-simplify]: Simplify (/ 1 (sin (/ 1 x))) into (/ 1 (sin (/ 1 x))) 0.579 * [approximate]: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in (x) around 0 0.579 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in x 0.579 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.579 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.579 * [taylor]: Taking taylor expansion of x in x 0.579 * [backup-simplify]: Simplify 0 into 0 0.579 * [backup-simplify]: Simplify 1 into 1 0.579 * [backup-simplify]: Simplify (/ 1 1) into 1 0.579 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 0.579 * [backup-simplify]: Simplify (/ 1 (sin (/ 1 x))) into (/ 1 (sin (/ 1 x))) 0.579 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in x 0.579 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.579 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.579 * [taylor]: Taking taylor expansion of x in x 0.579 * [backup-simplify]: Simplify 0 into 0 0.579 * [backup-simplify]: Simplify 1 into 1 0.580 * [backup-simplify]: Simplify (/ 1 1) into 1 0.580 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 0.580 * [backup-simplify]: Simplify (/ 1 (sin (/ 1 x))) into (/ 1 (sin (/ 1 x))) 0.580 * [backup-simplify]: Simplify (/ 1 (sin (/ 1 x))) into (/ 1 (sin (/ 1 x))) 0.580 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))))) into 0 0.580 * [backup-simplify]: Simplify 0 into 0 0.580 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 0.580 * [backup-simplify]: Simplify 0 into 0 0.581 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 0.581 * [backup-simplify]: Simplify 0 into 0 0.581 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 0.581 * [backup-simplify]: Simplify 0 into 0 0.581 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 0.581 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 0.582 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify (/ 1 (sin (/ 1 (/ 1 x)))) into (/ 1 (sin x)) 0.582 * [backup-simplify]: Simplify (/ 1 (sin (/ 1 (- x)))) into (/ 1 (sin (/ -1 x))) 0.582 * [approximate]: Taking taylor expansion of (/ 1 (sin (/ -1 x))) in (x) around 0 0.582 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -1 x))) in x 0.582 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.582 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.582 * [taylor]: Taking taylor expansion of -1 in x 0.582 * [backup-simplify]: Simplify -1 into -1 0.582 * [taylor]: Taking taylor expansion of x in x 0.582 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify 1 into 1 0.582 * [backup-simplify]: Simplify (/ -1 1) into -1 0.582 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 0.582 * [backup-simplify]: Simplify (/ 1 (sin (/ -1 x))) into (/ 1 (sin (/ -1 x))) 0.582 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -1 x))) in x 0.583 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.583 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.583 * [taylor]: Taking taylor expansion of -1 in x 0.583 * [backup-simplify]: Simplify -1 into -1 0.583 * [taylor]: Taking taylor expansion of x in x 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify 1 into 1 0.583 * [backup-simplify]: Simplify (/ -1 1) into -1 0.583 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 0.583 * [backup-simplify]: Simplify (/ 1 (sin (/ -1 x))) into (/ 1 (sin (/ -1 x))) 0.583 * [backup-simplify]: Simplify (/ 1 (sin (/ -1 x))) into (/ 1 (sin (/ -1 x))) 0.583 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))))) into 0 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 0.583 * [backup-simplify]: Simplify 0 into 0 0.584 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 0.584 * [backup-simplify]: Simplify 0 into 0 0.584 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 0.584 * [backup-simplify]: Simplify 0 into 0 0.584 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 0.584 * [backup-simplify]: Simplify 0 into 0 0.585 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 0.585 * [backup-simplify]: Simplify 0 into 0 0.585 * [backup-simplify]: Simplify (/ 1 (sin (/ -1 (/ 1 (- x))))) into (/ 1 (sin x)) 0.585 * * * [progress]: simplifying candidates 0.586 * [simplify]: Simplifying: (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma 1 1.0 (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma 1 1.0 (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma 1 1.0 (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (expm1 (* (- 1.0 (cos x)) (/ 1 (sin x)))) (log1p (* (- 1.0 (cos x)) (/ 1 (sin x)))) (* (- 1.0 (cos x)) (/ 1 (sin x))) (+ (log (- 1.0 (cos x))) (- (log (sin x)))) (+ (log (- 1.0 (cos x))) (- 0 (log (sin x)))) (+ (log (- 1.0 (cos x))) (- (log 1) (log (sin x)))) (+ (log (- 1.0 (cos x))) (log (/ 1 (sin x)))) (log (* (- 1.0 (cos x)) (/ 1 (sin x)))) (exp (* (- 1.0 (cos x)) (/ 1 (sin x)))) (* (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (/ (* (* 1 1) 1) (* (* (sin x) (sin x)) (sin x)))) (* (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (/ 1 (sin x)) (/ 1 (sin x))) (/ 1 (sin x)))) (* (cbrt (* (- 1.0 (cos x)) (/ 1 (sin x)))) (cbrt (* (- 1.0 (cos x)) (/ 1 (sin x))))) (cbrt (* (- 1.0 (cos x)) (/ 1 (sin x)))) (* (* (* (- 1.0 (cos x)) (/ 1 (sin x))) (* (- 1.0 (cos x)) (/ 1 (sin x)))) (* (- 1.0 (cos x)) (/ 1 (sin x)))) (sqrt (* (- 1.0 (cos x)) (/ 1 (sin x)))) (sqrt (* (- 1.0 (cos x)) (/ 1 (sin x)))) (* (- (pow 1.0 3) (pow (cos x) 3)) 1) (* (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (sin x)) (* (- (* 1.0 1.0) (* (cos x) (cos x))) 1) (* (+ 1.0 (cos x)) (sin x)) (* (sqrt (- 1.0 (cos x))) (sqrt (/ 1 (sin x)))) (* (sqrt (- 1.0 (cos x))) (sqrt (/ 1 (sin x)))) (* (sqrt (- 1.0 (cos x))) (/ (sqrt 1) (sqrt (sin x)))) (* (sqrt (- 1.0 (cos x))) (/ (sqrt 1) (sqrt (sin x)))) (* (sqrt (- 1.0 (cos x))) (/ 1 (sqrt (sin x)))) (* (sqrt (- 1.0 (cos x))) (/ 1 (sqrt (sin x)))) (* (- 1.0 (cos x)) (* (cbrt (/ 1 (sin x))) (cbrt (/ 1 (sin x))))) (* (- 1.0 (cos x)) (sqrt (/ 1 (sin x)))) (* (- 1.0 (cos x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sin x)) (cbrt (sin x))))) (* (- 1.0 (cos x)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sin x)))) (* (- 1.0 (cos x)) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (- 1.0 (cos x)) (/ (sqrt 1) (* (cbrt (sin x)) (cbrt (sin x))))) (* (- 1.0 (cos x)) (/ (sqrt 1) (sqrt (sin x)))) (* (- 1.0 (cos x)) (/ (sqrt 1) 1)) (* (- 1.0 (cos x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (* (- 1.0 (cos x)) (/ 1 (sqrt (sin x)))) (* (- 1.0 (cos x)) (/ 1 1)) (* (- 1.0 (cos x)) 1) (* (- 1.0 (cos x)) 1) (* (cbrt (- 1.0 (cos x))) (/ 1 (sin x))) (* (sqrt (- 1.0 (cos x))) (/ 1 (sin x))) (* (- 1.0 (cos x)) (/ 1 (sin x))) (* (- (sqrt 1.0) (sqrt (cos x))) (/ 1 (sin x))) (* (- 1.0 (cos x)) (/ 1 (sin x))) (* (- 1.0 (cos x)) 1) (* (- (pow 1.0 3) (pow (cos x) 3)) (/ 1 (sin x))) (* (- (* 1.0 1.0) (* (cos x) (cos x))) (/ 1 (sin x))) (expm1 (/ 1 (sin x))) (log1p (/ 1 (sin x))) (- 1) (- (log (sin x))) (- 0 (log (sin x))) (- (log 1) (log (sin x))) (log (/ 1 (sin x))) (exp (/ 1 (sin x))) (/ (* (* 1 1) 1) (* (* (sin x) (sin x)) (sin x))) (* (cbrt (/ 1 (sin x))) (cbrt (/ 1 (sin x)))) (cbrt (/ 1 (sin x))) (* (* (/ 1 (sin x)) (/ 1 (sin x))) (/ 1 (sin x))) (sqrt (/ 1 (sin x))) (sqrt (/ 1 (sin x))) (- 1) (- (sin x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt 1) (cbrt (sin x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sin x))) (/ (cbrt 1) (sqrt (sin x))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (sin x)) (/ (sqrt 1) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt 1) (cbrt (sin x))) (/ (sqrt 1) (sqrt (sin x))) (/ (sqrt 1) (sqrt (sin x))) (/ (sqrt 1) 1) (/ (sqrt 1) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ 1 (sqrt (sin x))) (/ 1 1) (/ 1 (sin x)) (/ 1 (sin x)) (/ (sin x) 1) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (sqrt (sin x))) (/ 1 1) (/ (sin x) (cbrt 1)) (/ (sin x) (sqrt 1)) (/ (sin x) 1) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) (+ (* 7/360 (pow x 3)) (+ (/ 1 x) (* 1/6 x))) (/ 1 (sin x)) (/ 1 (sin x)) 0.587 * [simplify]: Sending expressions to egg_math: (fma (* (cbrt h0) (cbrt h0)) (cbrt h0) (- (* (cbrt (cos h1)) (* (cbrt (cos h1)) (cbrt (cos h1)))))) (fma (- (cbrt (cos h1))) (* (cbrt (cos h1)) (cbrt (cos h1))) (* (cbrt (cos h1)) (* (cbrt (cos h1)) (cbrt (cos h1))))) (fma (* (cbrt h0) (cbrt h0)) (cbrt h0) (- (* (sqrt (cos h1)) (sqrt (cos h1))))) (fma (- (sqrt (cos h1))) (sqrt (cos h1)) (* (sqrt (cos h1)) (sqrt (cos h1)))) (fma (* (cbrt h0) (cbrt h0)) (cbrt h0) (- (* (cos h1) 1))) (fma (- (cos h1)) 1 (* (cos h1) 1)) (fma (sqrt h0) (sqrt h0) (- (* (cbrt (cos h1)) (* (cbrt (cos h1)) (cbrt (cos h1)))))) (fma (- (cbrt (cos h1))) (* (cbrt (cos h1)) (cbrt (cos h1))) (* (cbrt (cos h1)) (* (cbrt (cos h1)) (cbrt (cos h1))))) (fma (sqrt h0) (sqrt h0) (- (* (sqrt (cos h1)) (sqrt (cos h1))))) (fma (- (sqrt (cos h1))) (sqrt (cos h1)) (* (sqrt (cos h1)) (sqrt (cos h1)))) (fma (sqrt h0) (sqrt h0) (- (* (cos h1) 1))) (fma (- (cos h1)) 1 (* (cos h1) 1)) (fma 1 h0 (- (* (cbrt (cos h1)) (* (cbrt (cos h1)) (cbrt (cos h1)))))) (fma (- (cbrt (cos h1))) (* (cbrt (cos h1)) (cbrt (cos h1))) (* (cbrt (cos h1)) (* (cbrt (cos h1)) (cbrt (cos h1))))) (fma 1 h0 (- (* (sqrt (cos h1)) (sqrt (cos h1))))) (fma (- (sqrt (cos h1))) (sqrt (cos h1)) (* (sqrt (cos h1)) (sqrt (cos h1)))) (fma 1 h0 (- (* (cos h1) 1))) (fma (- (cos h1)) 1 (* (cos h1) 1)) (expm1 (- h0 (cos h1))) (log1p (- h0 (cos h1))) (- (cos h1)) (- (cos h1)) (- (cos h1)) (/ (exp h0) (exp (cos h1))) (log (- h0 (cos h1))) (exp (- h0 (cos h1))) (* (cbrt (- h0 (cos h1))) (cbrt (- h0 (cos h1)))) (cbrt (- h0 (cos h1))) (* (* (- h0 (cos h1)) (- h0 (cos h1))) (- h0 (cos h1))) (sqrt (- h0 (cos h1))) (sqrt (- h0 (cos h1))) (- (pow h0 3) (pow (cos h1) 3)) (+ (* h0 h0) (+ (* (cos h1) (cos h1)) (* h0 (cos h1)))) (- (cos h1)) (- (* h0 h0) (* (cos h1) (cos h1))) (+ h0 (cos h1)) (+ (sqrt h0) (sqrt (cos h1))) (- (sqrt h0) (sqrt (cos h1))) (- h0 (cos h1)) (- (cos h1)) (expm1 (* (- h0 (cos h1)) (/ 1 (sin h1)))) (log1p (* (- h0 (cos h1)) (/ 1 (sin h1)))) (* (- h0 (cos h1)) (/ 1 (sin h1))) (+ (log (- h0 (cos h1))) (- (log (sin h1)))) (+ (log (- h0 (cos h1))) (- 0 (log (sin h1)))) (+ (log (- h0 (cos h1))) (- (log 1) (log (sin h1)))) (+ (log (- h0 (cos h1))) (log (/ 1 (sin h1)))) (log (* (- h0 (cos h1)) (/ 1 (sin h1)))) (exp (* (- h0 (cos h1)) (/ 1 (sin h1)))) (* (* (* (- h0 (cos h1)) (- h0 (cos h1))) (- h0 (cos h1))) (/ (* (* 1 1) 1) (* (* (sin h1) (sin h1)) (sin h1)))) (* (* (* (- h0 (cos h1)) (- h0 (cos h1))) (- h0 (cos h1))) (* (* (/ 1 (sin h1)) (/ 1 (sin h1))) (/ 1 (sin h1)))) (* (cbrt (* (- h0 (cos h1)) (/ 1 (sin h1)))) (cbrt (* (- h0 (cos h1)) (/ 1 (sin h1))))) (cbrt (* (- h0 (cos h1)) (/ 1 (sin h1)))) (* (* (* (- h0 (cos h1)) (/ 1 (sin h1))) (* (- h0 (cos h1)) (/ 1 (sin h1)))) (* (- h0 (cos h1)) (/ 1 (sin h1)))) (sqrt (* (- h0 (cos h1)) (/ 1 (sin h1)))) (sqrt (* (- h0 (cos h1)) (/ 1 (sin h1)))) (* (- (pow h0 3) (pow (cos h1) 3)) 1) (* (+ (* h0 h0) (+ (* (cos h1) (cos h1)) (* h0 (cos h1)))) (sin h1)) (* (- (* h0 h0) (* (cos h1) (cos h1))) 1) (* (+ h0 (cos h1)) (sin h1)) (* (sqrt (- h0 (cos h1))) (sqrt (/ 1 (sin h1)))) (* (sqrt (- h0 (cos h1))) (sqrt (/ 1 (sin h1)))) (* (sqrt (- h0 (cos h1))) (/ (sqrt 1) (sqrt (sin h1)))) (* (sqrt (- h0 (cos h1))) (/ (sqrt 1) (sqrt (sin h1)))) (* (sqrt (- h0 (cos h1))) (/ 1 (sqrt (sin h1)))) (* (sqrt (- h0 (cos h1))) (/ 1 (sqrt (sin h1)))) (* (- h0 (cos h1)) (* (cbrt (/ 1 (sin h1))) (cbrt (/ 1 (sin h1))))) (* (- h0 (cos h1)) (sqrt (/ 1 (sin h1)))) (* (- h0 (cos h1)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sin h1)) (cbrt (sin h1))))) (* (- h0 (cos h1)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sin h1)))) (* (- h0 (cos h1)) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (- h0 (cos h1)) (/ (sqrt 1) (* (cbrt (sin h1)) (cbrt (sin h1))))) (* (- h0 (cos h1)) (/ (sqrt 1) (sqrt (sin h1)))) (* (- h0 (cos h1)) (/ (sqrt 1) 1)) (* (- h0 (cos h1)) (/ 1 (* (cbrt (sin h1)) (cbrt (sin h1))))) (* (- h0 (cos h1)) (/ 1 (sqrt (sin h1)))) (* (- h0 (cos h1)) (/ 1 1)) (* (- h0 (cos h1)) 1) (* (- h0 (cos h1)) 1) (* (cbrt (- h0 (cos h1))) (/ 1 (sin h1))) (* (sqrt (- h0 (cos h1))) (/ 1 (sin h1))) (* (- h0 (cos h1)) (/ 1 (sin h1))) (* (- (sqrt h0) (sqrt (cos h1))) (/ 1 (sin h1))) (* (- h0 (cos h1)) (/ 1 (sin h1))) (* (- h0 (cos h1)) 1) (* (- (pow h0 3) (pow (cos h1) 3)) (/ 1 (sin h1))) (* (- (* h0 h0) (* (cos h1) (cos h1))) (/ 1 (sin h1))) (expm1 (/ 1 (sin h1))) (log1p (/ 1 (sin h1))) (- 1) (- (log (sin h1))) (- 0 (log (sin h1))) (- (log 1) (log (sin h1))) (log (/ 1 (sin h1))) (exp (/ 1 (sin h1))) (/ (* (* 1 1) 1) (* (* (sin h1) (sin h1)) (sin h1))) (* (cbrt (/ 1 (sin h1))) (cbrt (/ 1 (sin h1)))) (cbrt (/ 1 (sin h1))) (* (* (/ 1 (sin h1)) (/ 1 (sin h1))) (/ 1 (sin h1))) (sqrt (/ 1 (sin h1))) (sqrt (/ 1 (sin h1))) (- 1) (- (sin h1)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sin h1)) (cbrt (sin h1)))) (/ (cbrt 1) (cbrt (sin h1))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sin h1))) (/ (cbrt 1) (sqrt (sin h1))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (sin h1)) (/ (sqrt 1) (* (cbrt (sin h1)) (cbrt (sin h1)))) (/ (sqrt 1) (cbrt (sin h1))) (/ (sqrt 1) (sqrt (sin h1))) (/ (sqrt 1) (sqrt (sin h1))) (/ (sqrt 1) 1) (/ (sqrt 1) (sin h1)) (/ 1 (* (cbrt (sin h1)) (cbrt (sin h1)))) (/ 1 (cbrt (sin h1))) (/ 1 (sqrt (sin h1))) (/ 1 (sqrt (sin h1))) (/ 1 1) (/ 1 (sin h1)) (/ 1 (sin h1)) (/ (sin h1) 1) (/ 1 (* (cbrt (sin h1)) (cbrt (sin h1)))) (/ 1 (sqrt (sin h1))) (/ 1 1) (/ (sin h1) (cbrt 1)) (/ (sin h1) (sqrt 1)) (/ (sin h1) 1) (- (+ (* 1/2 (pow h1 2)) (* 1/720 (pow h1 6))) (* 1/24 (pow h1 4))) (- h0 (cos h1)) (- h0 (cos h1)) (+ (* 1/24 (pow h1 3)) (+ (* 1/240 (pow h1 5)) (* 1/2 h1))) (/ (- h0 (cos h1)) (sin h1)) (/ (- h0 (cos h1)) (sin h1)) (+ (* 7/360 (pow h1 3)) (+ (/ 1 h1) (* 1/6 h1))) (/ 1 (sin h1)) (/ 1 (sin h1)) 0.592 * * [simplify]: iteration 0 : 381 enodes (cost 728 ) 0.599 * * [simplify]: iteration 1 : 1613 enodes (cost 574 ) 0.630 * * [simplify]: iteration 2 : 5002 enodes (cost 548 ) 0.633 * * * [progress]: adding candidates to table 0.810 * * [progress]: iteration 3 / 4 0.810 * * * [progress]: picking best candidate 0.832 * * * * [pick]: Picked # 0.832 * * * [progress]: localizing error 0.843 * * * [progress]: generating rewritten candidates 0.843 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.886 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.895 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.920 * * * [progress]: generating series expansions 0.920 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.920 * [backup-simplify]: Simplify (- (/ 1.0 (sin x)) (/ (cos x) (sin x))) into (- (* 1.0 (/ 1 (sin x))) (/ (cos x) (sin x))) 0.920 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 (sin x))) (/ (cos x) (sin x))) in (x) around 0 0.920 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (sin x))) (/ (cos x) (sin x))) in x 0.920 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sin x))) in x 0.920 * [taylor]: Taking taylor expansion of 1.0 in x 0.920 * [backup-simplify]: Simplify 1.0 into 1.0 0.920 * [taylor]: Taking taylor expansion of (/ 1 (sin x)) in x 0.920 * [taylor]: Taking taylor expansion of (sin x) in x 0.920 * [taylor]: Taking taylor expansion of x in x 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [backup-simplify]: Simplify 1 into 1 0.921 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 0.921 * [backup-simplify]: Simplify (/ 1 1) into 1 0.921 * [taylor]: Taking taylor expansion of (/ (cos x) (sin x)) in x 0.921 * [taylor]: Taking taylor expansion of (cos x) in x 0.921 * [taylor]: Taking taylor expansion of x in x 0.921 * [backup-simplify]: Simplify 0 into 0 0.921 * [backup-simplify]: Simplify 1 into 1 0.921 * [taylor]: Taking taylor expansion of (sin x) in x 0.921 * [taylor]: Taking taylor expansion of x in x 0.921 * [backup-simplify]: Simplify 0 into 0 0.921 * [backup-simplify]: Simplify 1 into 1 0.922 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 0.922 * [backup-simplify]: Simplify (/ 1 1) into 1 0.922 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (sin x))) (/ (cos x) (sin x))) in x 0.922 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sin x))) in x 0.922 * [taylor]: Taking taylor expansion of 1.0 in x 0.922 * [backup-simplify]: Simplify 1.0 into 1.0 0.922 * [taylor]: Taking taylor expansion of (/ 1 (sin x)) in x 0.922 * [taylor]: Taking taylor expansion of (sin x) in x 0.922 * [taylor]: Taking taylor expansion of x in x 0.922 * [backup-simplify]: Simplify 0 into 0 0.922 * [backup-simplify]: Simplify 1 into 1 0.923 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 0.923 * [backup-simplify]: Simplify (/ 1 1) into 1 0.923 * [taylor]: Taking taylor expansion of (/ (cos x) (sin x)) in x 0.923 * [taylor]: Taking taylor expansion of (cos x) in x 0.923 * [taylor]: Taking taylor expansion of x in x 0.923 * [backup-simplify]: Simplify 0 into 0 0.923 * [backup-simplify]: Simplify 1 into 1 0.923 * [taylor]: Taking taylor expansion of (sin x) in x 0.923 * [taylor]: Taking taylor expansion of x in x 0.923 * [backup-simplify]: Simplify 0 into 0 0.923 * [backup-simplify]: Simplify 1 into 1 0.923 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 0.924 * [backup-simplify]: Simplify (/ 1 1) into 1 0.924 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 0.924 * [backup-simplify]: Simplify (- 1) into -1 0.924 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.924 * [backup-simplify]: Simplify 0 into 0 0.925 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.926 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 0.926 * [backup-simplify]: Simplify (+ 0) into 0 0.927 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 0.927 * [backup-simplify]: Simplify (- 0) into 0 0.927 * [backup-simplify]: Simplify (+ 0 0) into 0 0.927 * [backup-simplify]: Simplify 0 into 0 0.928 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 0.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6 0.930 * [backup-simplify]: Simplify (+ (* 1.0 1/6) (+ (* 0 0) (* 0 1))) into 0.16666666666666666 0.931 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.932 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 0.933 * [backup-simplify]: Simplify (- (/ -1/2 1) (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into -1/3 0.933 * [backup-simplify]: Simplify (- -1/3) into 1/3 0.933 * [backup-simplify]: Simplify (+ 0.16666666666666666 1/3) into 0.5 0.933 * [backup-simplify]: Simplify 0.5 into 0.5 0.934 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/6 (/ 0 1)))) into 0 0.935 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1/6) (+ (* 0 0) (* 0 1)))) into 0 0.936 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.937 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.938 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ -1/6 1)) (* -1/3 (/ 0 1)))) into 0 0.938 * [backup-simplify]: Simplify (- 0) into 0 0.938 * [backup-simplify]: Simplify (+ 0 0) into 0 0.938 * [backup-simplify]: Simplify 0 into 0 0.940 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 0.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/120 1)) (* 0 (/ 0 1)) (* 1/6 (/ -1/6 1)) (* 0 (/ 0 1)))) into 7/360 0.943 * [backup-simplify]: Simplify (+ (* 1.0 7/360) (+ (* 0 0) (+ (* 0 1/6) (+ (* 0 0) (* 0 1))))) into 0.019444444444444445 0.944 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 0.946 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 0.947 * [backup-simplify]: Simplify (- (/ 1/24 1) (+ (* 1 (/ 1/120 1)) (* 0 (/ 0 1)) (* -1/3 (/ -1/6 1)) (* 0 (/ 0 1)))) into -1/45 0.947 * [backup-simplify]: Simplify (- -1/45) into 1/45 0.948 * [backup-simplify]: Simplify (+ 0.019444444444444445 1/45) into 0.04166666666666667 0.948 * [backup-simplify]: Simplify 0.04166666666666667 into 0.04166666666666667 0.950 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 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 0.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/120 1)) (* 1/6 (/ 0 1)) (* 0 (/ -1/6 1)) (* 7/360 (/ 0 1)))) into 0 0.952 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 7/360) (+ (* 0 0) (+ (* 0 1/6) (+ (* 0 0) (* 0 1)))))) into 0 0.953 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.955 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 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 0.956 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 1/120 1)) (* -1/3 (/ 0 1)) (* 0 (/ -1/6 1)) (* -1/45 (/ 0 1)))) into 0 0.957 * [backup-simplify]: Simplify (- 0) into 0 0.957 * [backup-simplify]: Simplify (+ 0 0) into 0 0.957 * [backup-simplify]: Simplify 0 into 0 0.961 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 7) 5040)) 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 3) 6) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into -1/5040 0.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/5040 1)) (* 0 (/ 0 1)) (* 1/6 (/ 1/120 1)) (* 0 (/ 0 1)) (* 7/360 (/ -1/6 1)) (* 0 (/ 0 1)))) into 31/15120 0.965 * [backup-simplify]: Simplify (+ (* 1.0 31/15120) (+ (* 0 0) (+ (* 0 7/360) (+ (* 0 0) (+ (* 0 1/6) (+ (* 0 0) (* 0 1))))))) into 0.00205026455026455 0.967 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 0.977 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 7) 5040)) 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 3) 6) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into -1/5040 0.978 * [backup-simplify]: Simplify (- (/ -1/720 1) (+ (* 1 (/ -1/5040 1)) (* 0 (/ 0 1)) (* -1/3 (/ 1/120 1)) (* 0 (/ 0 1)) (* -1/45 (/ -1/6 1)) (* 0 (/ 0 1)))) into -2/945 0.979 * [backup-simplify]: Simplify (- -2/945) into 2/945 0.979 * [backup-simplify]: Simplify (+ 0.00205026455026455 2/945) into 0.004166666666666667 0.979 * [backup-simplify]: Simplify 0.004166666666666667 into 0.004166666666666667 0.979 * [backup-simplify]: Simplify (+ (* 0.004166666666666667 (pow x 5)) (+ (* 0.04166666666666667 (pow x 3)) (* 0.5 x))) into (+ (* 0.04166666666666667 (pow x 3)) (+ (* 0.004166666666666667 (pow x 5)) (* 0.5 x))) 0.980 * [backup-simplify]: Simplify (- (/ 1.0 (sin (/ 1 x))) (/ (cos (/ 1 x)) (sin (/ 1 x)))) into (- (* 1.0 (/ 1 (sin (/ 1 x)))) (/ (cos (/ 1 x)) (sin (/ 1 x)))) 0.980 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 (sin (/ 1 x)))) (/ (cos (/ 1 x)) (sin (/ 1 x)))) in (x) around 0 0.980 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (sin (/ 1 x)))) (/ (cos (/ 1 x)) (sin (/ 1 x)))) in x 0.980 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sin (/ 1 x)))) in x 0.980 * [taylor]: Taking taylor expansion of 1.0 in x 0.980 * [backup-simplify]: Simplify 1.0 into 1.0 0.980 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in x 0.980 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.980 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.980 * [taylor]: Taking taylor expansion of x in x 0.980 * [backup-simplify]: Simplify 0 into 0 0.980 * [backup-simplify]: Simplify 1 into 1 0.980 * [backup-simplify]: Simplify (/ 1 1) into 1 0.980 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 0.980 * [backup-simplify]: Simplify (/ 1 (sin (/ 1 x))) into (/ 1 (sin (/ 1 x))) 0.980 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 x)) (sin (/ 1 x))) in x 0.980 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.980 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.980 * [taylor]: Taking taylor expansion of x in x 0.980 * [backup-simplify]: Simplify 0 into 0 0.980 * [backup-simplify]: Simplify 1 into 1 0.981 * [backup-simplify]: Simplify (/ 1 1) into 1 0.981 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.981 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.981 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.981 * [taylor]: Taking taylor expansion of x in x 0.981 * [backup-simplify]: Simplify 0 into 0 0.981 * [backup-simplify]: Simplify 1 into 1 0.981 * [backup-simplify]: Simplify (/ 1 1) into 1 0.981 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 0.981 * [backup-simplify]: Simplify (/ (cos (/ 1 x)) (sin (/ 1 x))) into (/ (cos (/ 1 x)) (sin (/ 1 x))) 0.981 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (sin (/ 1 x)))) (/ (cos (/ 1 x)) (sin (/ 1 x)))) in x 0.981 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sin (/ 1 x)))) in x 0.981 * [taylor]: Taking taylor expansion of 1.0 in x 0.981 * [backup-simplify]: Simplify 1.0 into 1.0 0.981 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in x 0.981 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.981 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.981 * [taylor]: Taking taylor expansion of x in x 0.981 * [backup-simplify]: Simplify 0 into 0 0.981 * [backup-simplify]: Simplify 1 into 1 0.982 * [backup-simplify]: Simplify (/ 1 1) into 1 0.982 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 0.982 * [backup-simplify]: Simplify (/ 1 (sin (/ 1 x))) into (/ 1 (sin (/ 1 x))) 0.982 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 x)) (sin (/ 1 x))) in x 0.982 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.982 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.982 * [taylor]: Taking taylor expansion of x in x 0.982 * [backup-simplify]: Simplify 0 into 0 0.982 * [backup-simplify]: Simplify 1 into 1 0.982 * [backup-simplify]: Simplify (/ 1 1) into 1 0.982 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.982 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.982 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.982 * [taylor]: Taking taylor expansion of x in x 0.982 * [backup-simplify]: Simplify 0 into 0 0.982 * [backup-simplify]: Simplify 1 into 1 0.983 * [backup-simplify]: Simplify (/ 1 1) into 1 0.983 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 0.983 * [backup-simplify]: Simplify (/ (cos (/ 1 x)) (sin (/ 1 x))) into (/ (cos (/ 1 x)) (sin (/ 1 x))) 0.983 * [backup-simplify]: Simplify (* 1.0 (/ 1 (sin (/ 1 x)))) into (/ 1.0 (sin (/ 1 x))) 0.983 * [backup-simplify]: Simplify (- (/ (cos (/ 1 x)) (sin (/ 1 x)))) into (- (/ (cos (/ 1 x)) (sin (/ 1 x)))) 0.983 * [backup-simplify]: Simplify (+ (/ 1.0 (sin (/ 1 x))) (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) into (- (* 1.0 (/ 1 (sin (/ 1 x)))) (/ (cos (/ 1 x)) (sin (/ 1 x)))) 0.983 * [backup-simplify]: Simplify (- (* 1.0 (/ 1 (sin (/ 1 x)))) (/ (cos (/ 1 x)) (sin (/ 1 x)))) into (- (* 1.0 (/ 1 (sin (/ 1 x)))) (/ (cos (/ 1 x)) (sin (/ 1 x)))) 0.983 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))))) into 0 0.984 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 (sin (/ 1 x))))) into 0 0.984 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (cos (/ 1 x)) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))))) into 0 0.984 * [backup-simplify]: Simplify (- 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 (- (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 0.985 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ 1 (sin (/ 1 x)))))) into 0 0.985 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (cos (/ 1 x)) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 0.986 * [backup-simplify]: Simplify (- 0) into 0 0.986 * [backup-simplify]: Simplify (+ 0 0) into 0 0.986 * [backup-simplify]: Simplify 0 into 0 0.986 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 0.987 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sin (/ 1 x))))))) into 0 0.987 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (cos (/ 1 x)) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 0.987 * [backup-simplify]: Simplify (- 0) into 0 0.988 * [backup-simplify]: Simplify (+ 0 0) into 0 0.988 * [backup-simplify]: Simplify 0 into 0 0.988 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 0.989 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sin (/ 1 x)))))))) into 0 0.989 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (cos (/ 1 x)) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 0.989 * [backup-simplify]: Simplify (- 0) into 0 0.990 * [backup-simplify]: Simplify (+ 0 0) into 0 0.990 * [backup-simplify]: Simplify 0 into 0 0.990 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 0.991 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sin (/ 1 x))))))))) into 0 0.991 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (cos (/ 1 x)) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 0.992 * [backup-simplify]: Simplify (- 0) into 0 0.992 * [backup-simplify]: Simplify (+ 0 0) into 0 0.992 * [backup-simplify]: Simplify 0 into 0 0.992 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 0.994 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sin (/ 1 x)))))))))) into 0 0.994 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (cos (/ 1 x)) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 0.994 * [backup-simplify]: Simplify (- 0) into 0 0.995 * [backup-simplify]: Simplify (+ 0 0) into 0 0.995 * [backup-simplify]: Simplify 0 into 0 0.995 * [backup-simplify]: Simplify (- (* 1.0 (/ 1 (sin (/ 1 (/ 1 x))))) (/ (cos (/ 1 (/ 1 x))) (sin (/ 1 (/ 1 x))))) into (- (* 1.0 (/ 1 (sin x))) (/ (cos x) (sin x))) 0.995 * [backup-simplify]: Simplify (- (/ 1.0 (sin (/ 1 (- x)))) (/ (cos (/ 1 (- x))) (sin (/ 1 (- x))))) into (- (* 1.0 (/ 1 (sin (/ -1 x)))) (/ (cos (/ -1 x)) (sin (/ -1 x)))) 0.995 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 (sin (/ -1 x)))) (/ (cos (/ -1 x)) (sin (/ -1 x)))) in (x) around 0 0.995 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (sin (/ -1 x)))) (/ (cos (/ -1 x)) (sin (/ -1 x)))) in x 0.995 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sin (/ -1 x)))) in x 0.995 * [taylor]: Taking taylor expansion of 1.0 in x 0.995 * [backup-simplify]: Simplify 1.0 into 1.0 0.995 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -1 x))) in x 0.995 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.995 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.995 * [taylor]: Taking taylor expansion of -1 in x 0.995 * [backup-simplify]: Simplify -1 into -1 0.995 * [taylor]: Taking taylor expansion of x in x 0.995 * [backup-simplify]: Simplify 0 into 0 0.995 * [backup-simplify]: Simplify 1 into 1 0.995 * [backup-simplify]: Simplify (/ -1 1) into -1 0.995 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 0.996 * [backup-simplify]: Simplify (/ 1 (sin (/ -1 x))) into (/ 1 (sin (/ -1 x))) 0.996 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 x)) (sin (/ -1 x))) in x 0.996 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.996 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.996 * [taylor]: Taking taylor expansion of -1 in x 0.996 * [backup-simplify]: Simplify -1 into -1 0.996 * [taylor]: Taking taylor expansion of x in x 0.996 * [backup-simplify]: Simplify 0 into 0 0.996 * [backup-simplify]: Simplify 1 into 1 0.996 * [backup-simplify]: Simplify (/ -1 1) into -1 0.996 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.996 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.996 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.996 * [taylor]: Taking taylor expansion of -1 in x 0.996 * [backup-simplify]: Simplify -1 into -1 0.996 * [taylor]: Taking taylor expansion of x in x 0.996 * [backup-simplify]: Simplify 0 into 0 0.996 * [backup-simplify]: Simplify 1 into 1 0.996 * [backup-simplify]: Simplify (/ -1 1) into -1 0.996 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 0.997 * [backup-simplify]: Simplify (/ (cos (/ -1 x)) (sin (/ -1 x))) into (/ (cos (/ -1 x)) (sin (/ -1 x))) 0.997 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (sin (/ -1 x)))) (/ (cos (/ -1 x)) (sin (/ -1 x)))) in x 0.997 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sin (/ -1 x)))) in x 0.997 * [taylor]: Taking taylor expansion of 1.0 in x 0.997 * [backup-simplify]: Simplify 1.0 into 1.0 0.997 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -1 x))) in x 0.997 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.997 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.997 * [taylor]: Taking taylor expansion of -1 in x 0.997 * [backup-simplify]: Simplify -1 into -1 0.997 * [taylor]: Taking taylor expansion of x in x 0.997 * [backup-simplify]: Simplify 0 into 0 0.997 * [backup-simplify]: Simplify 1 into 1 0.997 * [backup-simplify]: Simplify (/ -1 1) into -1 0.997 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 0.997 * [backup-simplify]: Simplify (/ 1 (sin (/ -1 x))) into (/ 1 (sin (/ -1 x))) 0.997 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 x)) (sin (/ -1 x))) in x 0.997 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.997 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.997 * [taylor]: Taking taylor expansion of -1 in x 0.997 * [backup-simplify]: Simplify -1 into -1 0.997 * [taylor]: Taking taylor expansion of x in x 0.997 * [backup-simplify]: Simplify 0 into 0 0.997 * [backup-simplify]: Simplify 1 into 1 0.998 * [backup-simplify]: Simplify (/ -1 1) into -1 0.998 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.998 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.998 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.998 * [taylor]: Taking taylor expansion of -1 in x 0.998 * [backup-simplify]: Simplify -1 into -1 0.998 * [taylor]: Taking taylor expansion of x in x 0.998 * [backup-simplify]: Simplify 0 into 0 0.998 * [backup-simplify]: Simplify 1 into 1 0.998 * [backup-simplify]: Simplify (/ -1 1) into -1 0.998 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 0.998 * [backup-simplify]: Simplify (/ (cos (/ -1 x)) (sin (/ -1 x))) into (/ (cos (/ -1 x)) (sin (/ -1 x))) 0.998 * [backup-simplify]: Simplify (* 1.0 (/ 1 (sin (/ -1 x)))) into (/ 1.0 (sin (/ -1 x))) 0.998 * [backup-simplify]: Simplify (- (/ (cos (/ -1 x)) (sin (/ -1 x)))) into (- (/ (cos (/ -1 x)) (sin (/ -1 x)))) 0.999 * [backup-simplify]: Simplify (+ (/ 1.0 (sin (/ -1 x))) (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) into (- (* 1.0 (/ 1 (sin (/ -1 x)))) (/ (cos (/ -1 x)) (sin (/ -1 x)))) 0.999 * [backup-simplify]: Simplify (- (* 1.0 (/ 1 (sin (/ -1 x)))) (/ (cos (/ -1 x)) (sin (/ -1 x)))) into (- (* 1.0 (/ 1 (sin (/ -1 x)))) (/ (cos (/ -1 x)) (sin (/ -1 x)))) 0.999 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))))) into 0 0.999 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 (sin (/ -1 x))))) into 0 1.000 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (cos (/ -1 x)) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))))) into 0 1.000 * [backup-simplify]: Simplify (- 0) into 0 1.000 * [backup-simplify]: Simplify (+ 0 0) into 0 1.000 * [backup-simplify]: Simplify 0 into 0 1.000 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 1.001 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ 1 (sin (/ -1 x)))))) into 0 1.001 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (cos (/ -1 x)) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 1.001 * [backup-simplify]: Simplify (- 0) into 0 1.001 * [backup-simplify]: Simplify (+ 0 0) into 0 1.001 * [backup-simplify]: Simplify 0 into 0 1.002 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 1.002 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sin (/ -1 x))))))) into 0 1.003 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (cos (/ -1 x)) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 1.003 * [backup-simplify]: Simplify (- 0) into 0 1.003 * [backup-simplify]: Simplify (+ 0 0) into 0 1.003 * [backup-simplify]: Simplify 0 into 0 1.003 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 1.004 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sin (/ -1 x)))))))) into 0 1.005 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (cos (/ -1 x)) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 1.005 * [backup-simplify]: Simplify (- 0) into 0 1.005 * [backup-simplify]: Simplify (+ 0 0) into 0 1.005 * [backup-simplify]: Simplify 0 into 0 1.005 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 1.007 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sin (/ -1 x))))))))) into 0 1.007 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (cos (/ -1 x)) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 1.007 * [backup-simplify]: Simplify (- 0) into 0 1.007 * [backup-simplify]: Simplify (+ 0 0) into 0 1.007 * [backup-simplify]: Simplify 0 into 0 1.008 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 1.009 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sin (/ -1 x)))))))))) into 0 1.010 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (cos (/ -1 x)) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 1.010 * [backup-simplify]: Simplify (- 0) into 0 1.010 * [backup-simplify]: Simplify (+ 0 0) into 0 1.010 * [backup-simplify]: Simplify 0 into 0 1.010 * [backup-simplify]: Simplify (- (* 1.0 (/ 1 (sin (/ -1 (/ 1 (- x)))))) (/ (cos (/ -1 (/ 1 (- x)))) (sin (/ -1 (/ 1 (- x)))))) into (- (* 1.0 (/ 1 (sin x))) (/ (cos x) (sin x))) 1.010 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 1.010 * [backup-simplify]: Simplify (/ (cos x) (sin x)) into (/ (cos x) (sin x)) 1.010 * [approximate]: Taking taylor expansion of (/ (cos x) (sin x)) in (x) around 0 1.010 * [taylor]: Taking taylor expansion of (/ (cos x) (sin x)) in x 1.010 * [taylor]: Taking taylor expansion of (cos x) in x 1.011 * [taylor]: Taking taylor expansion of x in x 1.011 * [backup-simplify]: Simplify 0 into 0 1.011 * [backup-simplify]: Simplify 1 into 1 1.011 * [taylor]: Taking taylor expansion of (sin x) in x 1.011 * [taylor]: Taking taylor expansion of x in x 1.011 * [backup-simplify]: Simplify 0 into 0 1.011 * [backup-simplify]: Simplify 1 into 1 1.011 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.011 * [backup-simplify]: Simplify (/ 1 1) into 1 1.011 * [taylor]: Taking taylor expansion of (/ (cos x) (sin x)) in x 1.011 * [taylor]: Taking taylor expansion of (cos x) in x 1.011 * [taylor]: Taking taylor expansion of x in x 1.011 * [backup-simplify]: Simplify 0 into 0 1.011 * [backup-simplify]: Simplify 1 into 1 1.011 * [taylor]: Taking taylor expansion of (sin x) in x 1.011 * [taylor]: Taking taylor expansion of x in x 1.011 * [backup-simplify]: Simplify 0 into 0 1.011 * [backup-simplify]: Simplify 1 into 1 1.012 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.012 * [backup-simplify]: Simplify (/ 1 1) into 1 1.012 * [backup-simplify]: Simplify 1 into 1 1.012 * [backup-simplify]: Simplify (+ 0) into 0 1.013 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.013 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 1.013 * [backup-simplify]: Simplify 0 into 0 1.014 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.015 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 1.015 * [backup-simplify]: Simplify (- (/ -1/2 1) (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into -1/3 1.015 * [backup-simplify]: Simplify -1/3 into -1/3 1.016 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.017 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.018 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ -1/6 1)) (* -1/3 (/ 0 1)))) into 0 1.018 * [backup-simplify]: Simplify 0 into 0 1.019 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 1.021 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 1.022 * [backup-simplify]: Simplify (- (/ 1/24 1) (+ (* 1 (/ 1/120 1)) (* 0 (/ 0 1)) (* -1/3 (/ -1/6 1)) (* 0 (/ 0 1)))) into -1/45 1.022 * [backup-simplify]: Simplify -1/45 into -1/45 1.022 * [backup-simplify]: Simplify (+ (* -1/45 (pow x 3)) (+ (* -1/3 x) (* 1 (/ 1 x)))) into (- (/ 1 x) (+ (* 1/45 (pow x 3)) (* 1/3 x))) 1.022 * [backup-simplify]: Simplify (/ (cos (/ 1 x)) (sin (/ 1 x))) into (/ (cos (/ 1 x)) (sin (/ 1 x))) 1.022 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 x)) (sin (/ 1 x))) in (x) around 0 1.022 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 x)) (sin (/ 1 x))) in x 1.022 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.022 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.022 * [taylor]: Taking taylor expansion of x in x 1.022 * [backup-simplify]: Simplify 0 into 0 1.022 * [backup-simplify]: Simplify 1 into 1 1.023 * [backup-simplify]: Simplify (/ 1 1) into 1 1.023 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.023 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.023 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.023 * [taylor]: Taking taylor expansion of x in x 1.023 * [backup-simplify]: Simplify 0 into 0 1.023 * [backup-simplify]: Simplify 1 into 1 1.023 * [backup-simplify]: Simplify (/ 1 1) into 1 1.023 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 1.023 * [backup-simplify]: Simplify (/ (cos (/ 1 x)) (sin (/ 1 x))) into (/ (cos (/ 1 x)) (sin (/ 1 x))) 1.023 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 x)) (sin (/ 1 x))) in x 1.023 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.023 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.023 * [taylor]: Taking taylor expansion of x in x 1.023 * [backup-simplify]: Simplify 0 into 0 1.023 * [backup-simplify]: Simplify 1 into 1 1.023 * [backup-simplify]: Simplify (/ 1 1) into 1 1.024 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.024 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.024 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.024 * [taylor]: Taking taylor expansion of x in x 1.024 * [backup-simplify]: Simplify 0 into 0 1.024 * [backup-simplify]: Simplify 1 into 1 1.024 * [backup-simplify]: Simplify (/ 1 1) into 1 1.024 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 1.024 * [backup-simplify]: Simplify (/ (cos (/ 1 x)) (sin (/ 1 x))) into (/ (cos (/ 1 x)) (sin (/ 1 x))) 1.024 * [backup-simplify]: Simplify (/ (cos (/ 1 x)) (sin (/ 1 x))) into (/ (cos (/ 1 x)) (sin (/ 1 x))) 1.024 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (cos (/ 1 x)) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))))) into 0 1.024 * [backup-simplify]: Simplify 0 into 0 1.025 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (cos (/ 1 x)) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 1.025 * [backup-simplify]: Simplify 0 into 0 1.025 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (cos (/ 1 x)) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 1.025 * [backup-simplify]: Simplify 0 into 0 1.025 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (cos (/ 1 x)) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 1.025 * [backup-simplify]: Simplify 0 into 0 1.026 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (cos (/ 1 x)) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 1.026 * [backup-simplify]: Simplify 0 into 0 1.026 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (cos (/ 1 x)) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 1.026 * [backup-simplify]: Simplify 0 into 0 1.026 * [backup-simplify]: Simplify (/ (cos (/ 1 (/ 1 x))) (sin (/ 1 (/ 1 x)))) into (/ (cos x) (sin x)) 1.026 * [backup-simplify]: Simplify (/ (cos (/ 1 (- x))) (sin (/ 1 (- x)))) into (/ (cos (/ -1 x)) (sin (/ -1 x))) 1.026 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 x)) (sin (/ -1 x))) in (x) around 0 1.026 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 x)) (sin (/ -1 x))) in x 1.026 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.026 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.026 * [taylor]: Taking taylor expansion of -1 in x 1.026 * [backup-simplify]: Simplify -1 into -1 1.026 * [taylor]: Taking taylor expansion of x in x 1.026 * [backup-simplify]: Simplify 0 into 0 1.026 * [backup-simplify]: Simplify 1 into 1 1.027 * [backup-simplify]: Simplify (/ -1 1) into -1 1.027 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.027 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.027 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.027 * [taylor]: Taking taylor expansion of -1 in x 1.027 * [backup-simplify]: Simplify -1 into -1 1.027 * [taylor]: Taking taylor expansion of x in x 1.027 * [backup-simplify]: Simplify 0 into 0 1.027 * [backup-simplify]: Simplify 1 into 1 1.027 * [backup-simplify]: Simplify (/ -1 1) into -1 1.027 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 1.027 * [backup-simplify]: Simplify (/ (cos (/ -1 x)) (sin (/ -1 x))) into (/ (cos (/ -1 x)) (sin (/ -1 x))) 1.027 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 x)) (sin (/ -1 x))) in x 1.027 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.027 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.027 * [taylor]: Taking taylor expansion of -1 in x 1.027 * [backup-simplify]: Simplify -1 into -1 1.027 * [taylor]: Taking taylor expansion of x in x 1.027 * [backup-simplify]: Simplify 0 into 0 1.027 * [backup-simplify]: Simplify 1 into 1 1.028 * [backup-simplify]: Simplify (/ -1 1) into -1 1.028 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.028 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.028 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.028 * [taylor]: Taking taylor expansion of -1 in x 1.028 * [backup-simplify]: Simplify -1 into -1 1.028 * [taylor]: Taking taylor expansion of x in x 1.028 * [backup-simplify]: Simplify 0 into 0 1.028 * [backup-simplify]: Simplify 1 into 1 1.028 * [backup-simplify]: Simplify (/ -1 1) into -1 1.028 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 1.028 * [backup-simplify]: Simplify (/ (cos (/ -1 x)) (sin (/ -1 x))) into (/ (cos (/ -1 x)) (sin (/ -1 x))) 1.028 * [backup-simplify]: Simplify (/ (cos (/ -1 x)) (sin (/ -1 x))) into (/ (cos (/ -1 x)) (sin (/ -1 x))) 1.029 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (cos (/ -1 x)) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))))) into 0 1.029 * [backup-simplify]: Simplify 0 into 0 1.029 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (cos (/ -1 x)) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 1.029 * [backup-simplify]: Simplify 0 into 0 1.029 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (cos (/ -1 x)) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 1.029 * [backup-simplify]: Simplify 0 into 0 1.029 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (cos (/ -1 x)) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 1.030 * [backup-simplify]: Simplify 0 into 0 1.030 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (cos (/ -1 x)) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 1.030 * [backup-simplify]: Simplify 0 into 0 1.030 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (cos (/ -1 x)) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 1.030 * [backup-simplify]: Simplify 0 into 0 1.030 * [backup-simplify]: Simplify (/ (cos (/ -1 (/ 1 (- x)))) (sin (/ -1 (/ 1 (- x))))) into (/ (cos x) (sin x)) 1.030 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 1.031 * [backup-simplify]: Simplify (/ 1.0 (sin x)) into (/ 1.0 (sin x)) 1.031 * [approximate]: Taking taylor expansion of (/ 1.0 (sin x)) in (x) around 0 1.031 * [taylor]: Taking taylor expansion of (/ 1.0 (sin x)) in x 1.031 * [taylor]: Taking taylor expansion of 1.0 in x 1.031 * [backup-simplify]: Simplify 1.0 into 1.0 1.031 * [taylor]: Taking taylor expansion of (sin x) in x 1.031 * [taylor]: Taking taylor expansion of x in x 1.031 * [backup-simplify]: Simplify 0 into 0 1.031 * [backup-simplify]: Simplify 1 into 1 1.031 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.031 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.031 * [taylor]: Taking taylor expansion of (/ 1.0 (sin x)) in x 1.031 * [taylor]: Taking taylor expansion of 1.0 in x 1.031 * [backup-simplify]: Simplify 1.0 into 1.0 1.031 * [taylor]: Taking taylor expansion of (sin x) in x 1.032 * [taylor]: Taking taylor expansion of x in x 1.032 * [backup-simplify]: Simplify 0 into 0 1.032 * [backup-simplify]: Simplify 1 into 1 1.032 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.032 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.032 * [backup-simplify]: Simplify 1.0 into 1.0 1.033 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0 1.033 * [backup-simplify]: Simplify 0 into 0 1.034 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 1.037 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ -1/6 1)) (* 0 (/ 0 1)))) into 0.16666666666666666 1.037 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 1.037 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 0 (/ -1/6 1)) (* 0.16666666666666666 (/ 0 1)))) into 0 1.038 * [backup-simplify]: Simplify 0 into 0 1.040 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 1.044 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 1/120 1)) (* 0 (/ 0 1)) (* 0.16666666666666666 (/ -1/6 1)) (* 0 (/ 0 1)))) into 0.019444444444444445 1.044 * [backup-simplify]: Simplify 0.019444444444444445 into 0.019444444444444445 1.044 * [backup-simplify]: Simplify (+ (* 0.019444444444444445 (pow x 3)) (+ (* 0.16666666666666666 x) (* 1.0 (/ 1 x)))) into (+ (* 0.019444444444444445 (pow x 3)) (+ (* 1.0 (/ 1 x)) (* 0.16666666666666666 x))) 1.044 * [backup-simplify]: Simplify (/ 1.0 (sin (/ 1 x))) into (/ 1.0 (sin (/ 1 x))) 1.044 * [approximate]: Taking taylor expansion of (/ 1.0 (sin (/ 1 x))) in (x) around 0 1.044 * [taylor]: Taking taylor expansion of (/ 1.0 (sin (/ 1 x))) in x 1.044 * [taylor]: Taking taylor expansion of 1.0 in x 1.044 * [backup-simplify]: Simplify 1.0 into 1.0 1.044 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.044 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.044 * [taylor]: Taking taylor expansion of x in x 1.044 * [backup-simplify]: Simplify 0 into 0 1.044 * [backup-simplify]: Simplify 1 into 1 1.044 * [backup-simplify]: Simplify (/ 1 1) into 1 1.044 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 1.045 * [backup-simplify]: Simplify (/ 1.0 (sin (/ 1 x))) into (/ 1.0 (sin (/ 1 x))) 1.045 * [taylor]: Taking taylor expansion of (/ 1.0 (sin (/ 1 x))) in x 1.045 * [taylor]: Taking taylor expansion of 1.0 in x 1.045 * [backup-simplify]: Simplify 1.0 into 1.0 1.045 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.045 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.045 * [taylor]: Taking taylor expansion of x in x 1.045 * [backup-simplify]: Simplify 0 into 0 1.045 * [backup-simplify]: Simplify 1 into 1 1.045 * [backup-simplify]: Simplify (/ 1 1) into 1 1.045 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 1.045 * [backup-simplify]: Simplify (/ 1.0 (sin (/ 1 x))) into (/ 1.0 (sin (/ 1 x))) 1.045 * [backup-simplify]: Simplify (/ 1.0 (sin (/ 1 x))) into (/ 1.0 (sin (/ 1 x))) 1.045 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ 1.0 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))))) into 0 1.045 * [backup-simplify]: Simplify 0 into 0 1.046 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ 1.0 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 1.046 * [backup-simplify]: Simplify 0 into 0 1.046 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ 1.0 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 1.046 * [backup-simplify]: Simplify 0 into 0 1.046 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ 1.0 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 1.046 * [backup-simplify]: Simplify 0 into 0 1.046 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ 1.0 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 1.046 * [backup-simplify]: Simplify 0 into 0 1.047 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ 1.0 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 1.047 * [backup-simplify]: Simplify 0 into 0 1.047 * [backup-simplify]: Simplify (/ 1.0 (sin (/ 1 (/ 1 x)))) into (/ 1.0 (sin x)) 1.047 * [backup-simplify]: Simplify (/ 1.0 (sin (/ 1 (- x)))) into (/ 1.0 (sin (/ -1 x))) 1.047 * [approximate]: Taking taylor expansion of (/ 1.0 (sin (/ -1 x))) in (x) around 0 1.047 * [taylor]: Taking taylor expansion of (/ 1.0 (sin (/ -1 x))) in x 1.047 * [taylor]: Taking taylor expansion of 1.0 in x 1.047 * [backup-simplify]: Simplify 1.0 into 1.0 1.047 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.047 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.047 * [taylor]: Taking taylor expansion of -1 in x 1.047 * [backup-simplify]: Simplify -1 into -1 1.047 * [taylor]: Taking taylor expansion of x in x 1.047 * [backup-simplify]: Simplify 0 into 0 1.047 * [backup-simplify]: Simplify 1 into 1 1.047 * [backup-simplify]: Simplify (/ -1 1) into -1 1.048 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 1.048 * [backup-simplify]: Simplify (/ 1.0 (sin (/ -1 x))) into (/ 1.0 (sin (/ -1 x))) 1.048 * [taylor]: Taking taylor expansion of (/ 1.0 (sin (/ -1 x))) in x 1.048 * [taylor]: Taking taylor expansion of 1.0 in x 1.048 * [backup-simplify]: Simplify 1.0 into 1.0 1.048 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.048 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.048 * [taylor]: Taking taylor expansion of -1 in x 1.048 * [backup-simplify]: Simplify -1 into -1 1.048 * [taylor]: Taking taylor expansion of x in x 1.048 * [backup-simplify]: Simplify 0 into 0 1.048 * [backup-simplify]: Simplify 1 into 1 1.048 * [backup-simplify]: Simplify (/ -1 1) into -1 1.048 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 1.048 * [backup-simplify]: Simplify (/ 1.0 (sin (/ -1 x))) into (/ 1.0 (sin (/ -1 x))) 1.048 * [backup-simplify]: Simplify (/ 1.0 (sin (/ -1 x))) into (/ 1.0 (sin (/ -1 x))) 1.048 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ 1.0 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))))) into 0 1.048 * [backup-simplify]: Simplify 0 into 0 1.049 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ 1.0 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 1.049 * [backup-simplify]: Simplify 0 into 0 1.049 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ 1.0 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 1.049 * [backup-simplify]: Simplify 0 into 0 1.049 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ 1.0 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 1.049 * [backup-simplify]: Simplify 0 into 0 1.050 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ 1.0 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 1.050 * [backup-simplify]: Simplify 0 into 0 1.050 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ 1.0 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 1.050 * [backup-simplify]: Simplify 0 into 0 1.050 * [backup-simplify]: Simplify (/ 1.0 (sin (/ -1 (/ 1 (- x))))) into (/ 1.0 (sin x)) 1.050 * * * [progress]: simplifying candidates 1.056 * [simplify]: Simplifying: (fma (* (cbrt (/ 1.0 (sin x))) (cbrt (/ 1.0 (sin x)))) (cbrt (/ 1.0 (sin x))) (- (* (cbrt (/ (cos x) (sin x))) (* (cbrt (/ (cos x) (sin x))) (cbrt (/ (cos x) (sin x))))))) (fma (- (cbrt (/ (cos x) (sin x)))) (* (cbrt (/ (cos x) (sin x))) (cbrt (/ (cos x) (sin x)))) (* (cbrt (/ (cos x) (sin x))) (* (cbrt (/ (cos x) (sin x))) (cbrt (/ (cos x) (sin x)))))) (fma (* (cbrt (/ 1.0 (sin x))) (cbrt (/ 1.0 (sin x)))) (cbrt (/ 1.0 (sin x))) (- (* (sqrt (/ (cos x) (sin x))) (sqrt (/ (cos x) (sin x)))))) (fma (- (sqrt (/ (cos x) (sin x)))) (sqrt (/ (cos x) (sin x))) (* (sqrt (/ (cos x) (sin x))) (sqrt (/ (cos x) (sin x))))) (fma (* (cbrt (/ 1.0 (sin x))) (cbrt (/ 1.0 (sin x)))) (cbrt (/ 1.0 (sin x))) (- (* (/ (cbrt (cos x)) (cbrt (sin x))) (/ (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x))))))) (fma (- (/ (cbrt (cos x)) (cbrt (sin x)))) (/ (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (* (/ (cbrt (cos x)) (cbrt (sin x))) (/ (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))))) (fma (* (cbrt (/ 1.0 (sin x))) (cbrt (/ 1.0 (sin x)))) (cbrt (/ 1.0 (sin x))) (- (* (/ (cbrt (cos x)) (sqrt (sin x))) (/ (* (cbrt (cos x)) (cbrt (cos x))) (sqrt (sin x)))))) (fma (- (/ (cbrt (cos x)) (sqrt (sin x)))) (/ (* (cbrt (cos x)) (cbrt (cos x))) (sqrt (sin x))) (* (/ (cbrt (cos x)) (sqrt (sin x))) (/ (* (cbrt (cos x)) (cbrt (cos x))) (sqrt (sin x))))) (fma (* (cbrt (/ 1.0 (sin x))) (cbrt (/ 1.0 (sin x)))) (cbrt (/ 1.0 (sin x))) (- (* (/ (cbrt (cos x)) (sin x)) (/ (* (cbrt (cos x)) (cbrt (cos x))) 1)))) (fma (- (/ (cbrt (cos x)) (sin x))) (/ (* (cbrt (cos x)) (cbrt (cos x))) 1) (* (/ (cbrt (cos x)) (sin x)) (/ (* (cbrt (cos x)) (cbrt (cos x))) 1))) (fma (* (cbrt (/ 1.0 (sin x))) (cbrt (/ 1.0 (sin x)))) (cbrt (/ 1.0 (sin x))) (- (* (/ (sqrt (cos x)) (cbrt (sin x))) (/ (sqrt (cos x)) (* (cbrt (sin x)) (cbrt (sin x))))))) (fma (- (/ (sqrt (cos x)) (cbrt (sin x)))) (/ (sqrt (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (* (/ (sqrt (cos x)) (cbrt (sin x))) (/ (sqrt (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))))) (fma (* (cbrt (/ 1.0 (sin x))) (cbrt (/ 1.0 (sin x)))) (cbrt (/ 1.0 (sin x))) (- (* (/ (sqrt (cos x)) (sqrt (sin x))) (/ (sqrt (cos x)) (sqrt (sin x)))))) (fma (- (/ (sqrt (cos x)) (sqrt (sin x)))) (/ (sqrt (cos x)) (sqrt (sin x))) (* (/ (sqrt (cos x)) (sqrt (sin x))) (/ (sqrt (cos x)) (sqrt (sin x))))) (fma (* (cbrt (/ 1.0 (sin x))) (cbrt (/ 1.0 (sin x)))) (cbrt (/ 1.0 (sin x))) (- (* (/ (sqrt (cos x)) (sin x)) (/ (sqrt (cos x)) 1)))) (fma (- (/ (sqrt (cos x)) (sin x))) (/ (sqrt (cos x)) 1) (* (/ (sqrt (cos x)) (sin x)) (/ (sqrt (cos x)) 1))) (fma (* (cbrt (/ 1.0 (sin x))) (cbrt (/ 1.0 (sin x)))) (cbrt (/ 1.0 (sin x))) (- (* (/ (cos x) (cbrt (sin x))) (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))))) (fma (- (/ (cos x) (cbrt (sin x)))) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (* (/ (cos x) (cbrt (sin x))) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))))) (fma (* (cbrt (/ 1.0 (sin x))) (cbrt (/ 1.0 (sin x)))) (cbrt (/ 1.0 (sin x))) (- (* (/ (cos x) (sqrt (sin x))) (/ 1 (sqrt (sin x)))))) (fma (- (/ (cos x) (sqrt (sin x)))) (/ 1 (sqrt (sin x))) (* (/ (cos x) (sqrt (sin x))) (/ 1 (sqrt (sin x))))) (fma (* (cbrt (/ 1.0 (sin x))) (cbrt (/ 1.0 (sin x)))) (cbrt (/ 1.0 (sin x))) (- (* (/ (cos x) (sin x)) (/ 1 1)))) (fma (- (/ (cos x) (sin x))) (/ 1 1) (* (/ (cos x) (sin x)) (/ 1 1))) (fma (* (cbrt (/ 1.0 (sin x))) (cbrt (/ 1.0 (sin x)))) (cbrt (/ 1.0 (sin x))) (- (* (/ (cos x) (sin x)) 1))) (fma (- (/ (cos x) (sin x))) 1 (* (/ (cos x) (sin x)) 1)) (fma (* (cbrt (/ 1.0 (sin x))) (cbrt (/ 1.0 (sin x)))) (cbrt (/ 1.0 (sin x))) (- (* (/ 1 (sin x)) (cos x)))) (fma (- (/ 1 (sin x))) (cos x) (* (/ 1 (sin x)) (cos x))) (fma (sqrt (/ 1.0 (sin x))) (sqrt (/ 1.0 (sin x))) (- (* (cbrt (/ (cos x) (sin x))) (* (cbrt (/ (cos x) (sin x))) (cbrt (/ (cos x) (sin x))))))) (fma (- (cbrt (/ (cos x) (sin x)))) (* (cbrt (/ (cos x) (sin x))) (cbrt (/ (cos x) (sin x)))) (* (cbrt (/ (cos x) (sin x))) (* (cbrt (/ (cos x) (sin x))) (cbrt (/ (cos x) (sin x)))))) (fma (sqrt (/ 1.0 (sin x))) (sqrt (/ 1.0 (sin x))) (- (* (sqrt (/ (cos x) (sin x))) (sqrt (/ (cos x) (sin x)))))) (fma (- (sqrt (/ (cos x) (sin x)))) (sqrt (/ (cos x) (sin x))) (* (sqrt (/ (cos x) (sin x))) (sqrt (/ (cos x) (sin x))))) (fma (sqrt (/ 1.0 (sin x))) (sqrt (/ 1.0 (sin x))) (- (* (/ (cbrt (cos x)) (cbrt (sin x))) (/ (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x))))))) (fma (- (/ (cbrt (cos x)) (cbrt (sin x)))) (/ (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (* (/ (cbrt (cos x)) (cbrt (sin x))) (/ (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))))) (fma (sqrt (/ 1.0 (sin x))) (sqrt (/ 1.0 (sin x))) (- (* (/ (cbrt (cos x)) (sqrt (sin x))) (/ (* (cbrt (cos x)) (cbrt (cos x))) (sqrt (sin x)))))) (fma (- (/ (cbrt (cos x)) (sqrt (sin x)))) (/ (* (cbrt (cos x)) (cbrt (cos x))) (sqrt (sin x))) (* (/ (cbrt (cos x)) (sqrt (sin x))) (/ (* 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h1) (sin h1)) (/ (cos h1) (sin h1))) (* (/ h0 (sin h1)) (/ (cos h1) (sin h1))))) (- (/ (cos h1) (sin h1))) (- (* (/ h0 (sin h1)) (/ h0 (sin h1))) (* (/ (cos h1) (sin h1)) (/ (cos h1) (sin h1)))) (+ (/ h0 (sin h1)) (/ (cos h1) (sin h1))) (+ (sqrt (/ h0 (sin h1))) (sqrt (/ (cos h1) (sin h1)))) (- (sqrt (/ h0 (sin h1))) (sqrt (/ (cos h1) (sin h1)))) (+ (sqrt (/ h0 (sin h1))) (/ (sqrt (cos h1)) (sqrt (sin h1)))) (- (sqrt (/ h0 (sin h1))) (/ (sqrt (cos h1)) (sqrt (sin h1)))) (+ (/ (sqrt h0) (sqrt (sin h1))) (sqrt (/ (cos h1) (sin h1)))) (- (/ (sqrt h0) (sqrt (sin h1))) (sqrt (/ (cos h1) (sin h1)))) (+ (/ (sqrt h0) (sqrt (sin h1))) (/ (sqrt (cos h1)) (sqrt (sin h1)))) (- (/ (sqrt h0) (sqrt (sin h1))) (/ (sqrt (cos h1)) (sqrt (sin h1)))) (- (/ h0 (cbrt (sin h1))) (/ (cos h1) (cbrt (sin h1)))) (- (/ h0 (sqrt (sin h1))) (/ (cos h1) (sqrt (sin h1)))) (- (/ h0 (sin h1)) (/ (cos h1) (sin h1))) (- (/ h0 (sin h1)) (/ (cos h1) (sin h1))) (- h0 (cos h1)) (- (/ (cos h1) (sin h1))) (expm1 (/ (cos h1) (sin h1))) (log1p (/ (cos h1) (sin h1))) (- (log (cos h1)) (log (sin h1))) (log (/ (cos h1) (sin h1))) (exp (/ (cos h1) (sin h1))) (/ (* (* (cos h1) (cos h1)) (cos h1)) (* (* (sin h1) (sin h1)) (sin h1))) (* (cbrt (/ (cos h1) (sin h1))) (cbrt (/ (cos h1) (sin h1)))) (cbrt (/ (cos h1) (sin h1))) (* (* (/ (cos h1) (sin h1)) (/ (cos h1) (sin h1))) (/ (cos h1) (sin h1))) (sqrt (/ (cos h1) (sin h1))) (sqrt (/ (cos h1) (sin h1))) (- (cos h1)) (- (sin h1)) (/ (* (cbrt (cos h1)) (cbrt (cos h1))) (* (cbrt (sin h1)) (cbrt (sin h1)))) (/ (cbrt (cos h1)) (cbrt (sin h1))) (/ (* (cbrt (cos h1)) (cbrt (cos h1))) (sqrt (sin h1))) (/ (cbrt (cos h1)) (sqrt (sin h1))) (/ (* (cbrt (cos h1)) (cbrt (cos h1))) 1) (/ (cbrt (cos h1)) (sin h1)) (/ (sqrt (cos h1)) (* (cbrt (sin h1)) (cbrt (sin h1)))) (/ (sqrt (cos h1)) (cbrt (sin h1))) (/ (sqrt (cos h1)) (sqrt (sin h1))) (/ (sqrt (cos h1)) (sqrt (sin h1))) (/ (sqrt (cos h1)) 1) (/ (sqrt (cos h1)) (sin h1)) (/ 1 (* (cbrt (sin h1)) (cbrt (sin h1)))) (/ (cos h1) (cbrt (sin h1))) (/ 1 (sqrt (sin h1))) (/ (cos h1) (sqrt (sin h1))) (/ 1 1) (/ (cos h1) (sin h1)) (/ 1 (sin h1)) (/ (sin h1) (cos h1)) (/ (cos h1) (* (cbrt (sin h1)) (cbrt (sin h1)))) (/ (cos h1) (sqrt (sin h1))) (/ (cos h1) 1) (/ (sin h1) (cbrt (cos h1))) (/ (sin h1) (sqrt (cos h1))) (/ (sin h1) (cos h1)) (expm1 (/ h0 (sin h1))) (log1p (/ h0 (sin h1))) (- (log h0) (log (sin h1))) (log (/ h0 (sin h1))) (exp (/ h0 (sin h1))) (/ (* (* h0 h0) h0) (* (* (sin h1) (sin h1)) (sin h1))) (* (cbrt (/ h0 (sin h1))) (cbrt (/ h0 (sin h1)))) (cbrt (/ h0 (sin h1))) (* (* (/ h0 (sin h1)) (/ h0 (sin h1))) (/ h0 (sin h1))) (sqrt (/ h0 (sin h1))) (sqrt (/ h0 (sin h1))) (- h0) (- (sin h1)) (/ (* (cbrt h0) (cbrt h0)) (* (cbrt (sin h1)) (cbrt (sin h1)))) (/ (cbrt h0) (cbrt (sin h1))) (/ (* (cbrt h0) (cbrt h0)) (sqrt (sin h1))) (/ (cbrt h0) (sqrt (sin h1))) (/ (* (cbrt h0) (cbrt h0)) 1) (/ (cbrt h0) (sin h1)) (/ (sqrt h0) (* (cbrt (sin h1)) (cbrt (sin h1)))) (/ (sqrt h0) (cbrt (sin h1))) (/ (sqrt h0) (sqrt (sin h1))) (/ (sqrt h0) (sqrt (sin h1))) (/ (sqrt h0) 1) (/ (sqrt h0) (sin h1)) (/ 1 (* (cbrt (sin h1)) (cbrt (sin h1)))) (/ h0 (cbrt (sin h1))) (/ 1 (sqrt (sin h1))) (/ h0 (sqrt (sin h1))) (/ 1 1) (/ h0 (sin h1)) (/ 1 (sin h1)) (/ (sin h1) h0) (/ h0 (* (cbrt (sin h1)) (cbrt (sin h1)))) (/ h0 (sqrt (sin h1))) (/ h0 1) (/ (sin h1) (cbrt h0)) (/ (sin h1) (sqrt h0)) (/ (sin h1) h0) (+ (* h2 (pow h1 3)) (+ (* h3 (pow h1 5)) (* h4 h1))) (- (* h0 (/ 1 (sin h1))) (/ (cos h1) (sin h1))) (- (* h0 (/ 1 (sin h1))) (/ (cos h1) (sin h1))) (- (/ 1 h1) (+ (* 1/45 (pow h1 3)) (* 1/3 h1))) (/ (cos h1) (sin h1)) (/ (cos h1) (sin h1)) (+ (* h5 (pow h1 3)) (+ (* h0 (/ 1 h1)) (* h6 h1))) (/ h0 (sin h1)) (/ h0 (sin h1)) 1.080 * * [simplify]: iteration 0 : 810 enodes (cost 7180 ) 1.091 * * [simplify]: iteration 1 : 2234 enodes (cost 5060 ) 1.124 * * [simplify]: iteration 2 : 5001 enodes (cost 4434 ) 1.140 * * * [progress]: adding candidates to table 1.473 * * [progress]: iteration 4 / 4 1.473 * * * [progress]: picking best candidate 1.495 * * * * [pick]: Picked # 1.495 * * * [progress]: localizing error 1.515 * * * [progress]: generating rewritten candidates 1.515 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 1.545 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 1.558 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2) 1.561 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 1.587 * * * [progress]: generating series expansions 1.587 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 1.589 * [backup-simplify]: Simplify (- (pow 1.0 3) (pow (cos x) 3)) into (- 1.0 (pow (cos x) 3)) 1.589 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in (x) around 0 1.589 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 1.589 * [taylor]: Taking taylor expansion of 1.0 in x 1.589 * [backup-simplify]: Simplify 1.0 into 1.0 1.589 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.589 * [taylor]: Taking taylor expansion of (cos x) in x 1.589 * [taylor]: Taking taylor expansion of x in x 1.589 * [backup-simplify]: Simplify 0 into 0 1.589 * [backup-simplify]: Simplify 1 into 1 1.589 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 1.589 * [taylor]: Taking taylor expansion of 1.0 in x 1.589 * [backup-simplify]: Simplify 1.0 into 1.0 1.589 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.589 * [taylor]: Taking taylor expansion of (cos x) in x 1.589 * [taylor]: Taking taylor expansion of x in x 1.589 * [backup-simplify]: Simplify 0 into 0 1.589 * [backup-simplify]: Simplify 1 into 1 1.589 * [backup-simplify]: Simplify (* 1 1) into 1 1.589 * [backup-simplify]: Simplify (* 1 1) into 1 1.590 * [backup-simplify]: Simplify (- 1) into -1 1.590 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.590 * [backup-simplify]: Simplify 0 into 0 1.590 * [backup-simplify]: Simplify (+ 0) into 0 1.591 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.591 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.591 * [backup-simplify]: Simplify (- 0) into 0 1.591 * [backup-simplify]: Simplify (+ 0 0) into 0 1.591 * [backup-simplify]: Simplify 0 into 0 1.592 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.593 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/2 1))) into -1 1.593 * [backup-simplify]: Simplify (+ (* 1 -1) (+ (* 0 0) (* -1/2 1))) into -3/2 1.593 * [backup-simplify]: Simplify (- -3/2) into 3/2 1.594 * [backup-simplify]: Simplify (+ 0 3/2) into 3/2 1.594 * [backup-simplify]: Simplify 3/2 into 3/2 1.594 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/2 0) (* 0 1)))) into 0 1.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1) (+ (* -1/2 0) (* 0 1)))) into 0 1.596 * [backup-simplify]: Simplify (- 0) into 0 1.596 * [backup-simplify]: Simplify (+ 0 0) into 0 1.596 * [backup-simplify]: Simplify 0 into 0 1.598 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 1.598 * [backup-simplify]: Simplify (+ (* 1 1/24) (+ (* 0 0) (+ (* -1/2 -1/2) (+ (* 0 0) (* 1/24 1))))) into 1/3 1.599 * [backup-simplify]: Simplify (+ (* 1 1/3) (+ (* 0 0) (+ (* -1/2 -1) (+ (* 0 0) (* 1/24 1))))) into 7/8 1.600 * [backup-simplify]: Simplify (- 7/8) into -7/8 1.600 * [backup-simplify]: Simplify (+ 0 -7/8) into -7/8 1.600 * [backup-simplify]: Simplify -7/8 into -7/8 1.601 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/2 0) (+ (* 0 -1/2) (+ (* 1/24 0) (* 0 1)))))) into 0 1.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/3) (+ (* -1/2 0) (+ (* 0 -1) (+ (* 1/24 0) (* 0 1)))))) into 0 1.604 * [backup-simplify]: Simplify (- 0) into 0 1.604 * [backup-simplify]: Simplify (+ 0 0) into 0 1.604 * [backup-simplify]: Simplify 0 into 0 1.606 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 1.608 * [backup-simplify]: Simplify (+ (* 1 -1/720) (+ (* 0 0) (+ (* -1/2 1/24) (+ (* 0 0) (+ (* 1/24 -1/2) (+ (* 0 0) (* -1/720 1))))))) into -2/45 1.609 * [backup-simplify]: Simplify (+ (* 1 -2/45) (+ (* 0 0) (+ (* -1/2 1/3) (+ (* 0 0) (+ (* 1/24 -1) (+ (* 0 0) (* -1/720 1))))))) into -61/240 1.609 * [backup-simplify]: Simplify (- -61/240) into 61/240 1.610 * [backup-simplify]: Simplify (+ 0 61/240) into 61/240 1.610 * [backup-simplify]: Simplify 61/240 into 61/240 1.610 * [backup-simplify]: Simplify (+ (* 61/240 (pow x 6)) (+ (* -7/8 (pow x 4)) (* 3/2 (pow x 2)))) into (- (+ (* 3/2 (pow x 2)) (* 61/240 (pow x 6))) (* 7/8 (pow x 4))) 1.611 * [backup-simplify]: Simplify (- (pow 1.0 3) (pow (cos (/ 1 x)) 3)) into (- 1.0 (pow (cos (/ 1 x)) 3)) 1.611 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in (x) around 0 1.611 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 1.611 * [taylor]: Taking taylor expansion of 1.0 in x 1.611 * [backup-simplify]: Simplify 1.0 into 1.0 1.611 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.611 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.611 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.611 * [taylor]: Taking taylor expansion of x in x 1.611 * [backup-simplify]: Simplify 0 into 0 1.611 * [backup-simplify]: Simplify 1 into 1 1.611 * [backup-simplify]: Simplify (/ 1 1) into 1 1.611 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.611 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 1.611 * [taylor]: Taking taylor expansion of 1.0 in x 1.611 * [backup-simplify]: Simplify 1.0 into 1.0 1.611 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.611 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.611 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.611 * [taylor]: Taking taylor expansion of x in x 1.611 * [backup-simplify]: Simplify 0 into 0 1.611 * [backup-simplify]: Simplify 1 into 1 1.611 * [backup-simplify]: Simplify (/ 1 1) into 1 1.612 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.612 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (cos (/ 1 x))) into (pow (cos (/ 1 x)) 2) 1.612 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (pow (cos (/ 1 x)) 2)) into (pow (cos (/ 1 x)) 3) 1.612 * [backup-simplify]: Simplify (- (pow (cos (/ 1 x)) 3)) into (- (pow (cos (/ 1 x)) 3)) 1.612 * [backup-simplify]: Simplify (+ 1.0 (- (pow (cos (/ 1 x)) 3))) into (- 1.0 (pow (cos (/ 1 x)) 3)) 1.612 * [backup-simplify]: Simplify (- 1.0 (pow (cos (/ 1 x)) 3)) into (- 1.0 (pow (cos (/ 1 x)) 3)) 1.612 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (cos (/ 1 x)))) into 0 1.612 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (pow (cos (/ 1 x)) 2))) into 0 1.613 * [backup-simplify]: Simplify (- 0) into 0 1.613 * [backup-simplify]: Simplify (+ 0 0) into 0 1.613 * [backup-simplify]: Simplify 0 into 0 1.613 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) into 0 1.614 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2)))) into 0 1.614 * [backup-simplify]: Simplify (- 0) into 0 1.614 * [backup-simplify]: Simplify (+ 0 0) into 0 1.614 * [backup-simplify]: Simplify 0 into 0 1.615 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) into 0 1.615 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2))))) into 0 1.615 * [backup-simplify]: Simplify (- 0) into 0 1.616 * [backup-simplify]: Simplify (+ 0 0) into 0 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))) into 0 1.617 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2)))))) into 0 1.617 * [backup-simplify]: Simplify (- 0) into 0 1.618 * [backup-simplify]: Simplify (+ 0 0) into 0 1.618 * [backup-simplify]: Simplify 0 into 0 1.619 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))) into 0 1.620 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2))))))) into 0 1.620 * [backup-simplify]: Simplify (- 0) into 0 1.620 * [backup-simplify]: Simplify (+ 0 0) into 0 1.620 * [backup-simplify]: Simplify 0 into 0 1.621 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))))) into 0 1.623 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2)))))))) into 0 1.623 * [backup-simplify]: Simplify (- 0) into 0 1.623 * [backup-simplify]: Simplify (+ 0 0) into 0 1.623 * [backup-simplify]: Simplify 0 into 0 1.624 * [backup-simplify]: Simplify (- 1.0 (pow (cos (/ 1 (/ 1 x))) 3)) into (- 1.0 (pow (cos x) 3)) 1.624 * [backup-simplify]: Simplify (- (pow 1.0 3) (pow (cos (/ 1 (- x))) 3)) into (- 1.0 (pow (cos (/ -1 x)) 3)) 1.624 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in (x) around 0 1.624 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 1.624 * [taylor]: Taking taylor expansion of 1.0 in x 1.624 * [backup-simplify]: Simplify 1.0 into 1.0 1.624 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.624 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.624 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.624 * [taylor]: Taking taylor expansion of -1 in x 1.624 * [backup-simplify]: Simplify -1 into -1 1.624 * [taylor]: Taking taylor expansion of x in x 1.624 * [backup-simplify]: Simplify 0 into 0 1.624 * [backup-simplify]: Simplify 1 into 1 1.625 * [backup-simplify]: Simplify (/ -1 1) into -1 1.625 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.625 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 1.625 * [taylor]: Taking taylor expansion of 1.0 in x 1.625 * [backup-simplify]: Simplify 1.0 into 1.0 1.625 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.625 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.625 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.625 * [taylor]: Taking taylor expansion of -1 in x 1.625 * [backup-simplify]: Simplify -1 into -1 1.625 * [taylor]: Taking taylor expansion of x in x 1.625 * [backup-simplify]: Simplify 0 into 0 1.625 * [backup-simplify]: Simplify 1 into 1 1.625 * [backup-simplify]: Simplify (/ -1 1) into -1 1.625 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.625 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (cos (/ -1 x))) into (pow (cos (/ -1 x)) 2) 1.625 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (pow (cos (/ -1 x)) 2)) into (pow (cos (/ -1 x)) 3) 1.626 * [backup-simplify]: Simplify (- (pow (cos (/ -1 x)) 3)) into (- (pow (cos (/ -1 x)) 3)) 1.626 * [backup-simplify]: Simplify (+ 1.0 (- (pow (cos (/ -1 x)) 3))) into (- 1.0 (pow (cos (/ -1 x)) 3)) 1.626 * [backup-simplify]: Simplify (- 1.0 (pow (cos (/ -1 x)) 3)) into (- 1.0 (pow (cos (/ -1 x)) 3)) 1.626 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (cos (/ -1 x)))) into 0 1.626 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (pow (cos (/ -1 x)) 2))) into 0 1.626 * [backup-simplify]: Simplify (- 0) into 0 1.626 * [backup-simplify]: Simplify (+ 0 0) into 0 1.627 * [backup-simplify]: Simplify 0 into 0 1.627 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))) into 0 1.627 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2)))) into 0 1.627 * [backup-simplify]: Simplify (- 0) into 0 1.628 * [backup-simplify]: Simplify (+ 0 0) into 0 1.628 * [backup-simplify]: Simplify 0 into 0 1.628 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) into 0 1.629 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2))))) into 0 1.629 * [backup-simplify]: Simplify (- 0) into 0 1.629 * [backup-simplify]: Simplify (+ 0 0) into 0 1.629 * [backup-simplify]: Simplify 0 into 0 1.630 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))) into 0 1.631 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2)))))) into 0 1.631 * [backup-simplify]: Simplify (- 0) into 0 1.631 * [backup-simplify]: Simplify (+ 0 0) into 0 1.631 * [backup-simplify]: Simplify 0 into 0 1.632 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))) into 0 1.633 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2))))))) into 0 1.634 * [backup-simplify]: Simplify (- 0) into 0 1.634 * [backup-simplify]: Simplify (+ 0 0) into 0 1.634 * [backup-simplify]: Simplify 0 into 0 1.635 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))))) into 0 1.636 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2)))))))) into 0 1.636 * [backup-simplify]: Simplify (- 0) into 0 1.637 * [backup-simplify]: Simplify (+ 0 0) into 0 1.637 * [backup-simplify]: Simplify 0 into 0 1.637 * [backup-simplify]: Simplify (- 1.0 (pow (cos (/ -1 (/ 1 (- x)))) 3)) into (- 1.0 (pow (cos x) 3)) 1.637 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 1.637 * [backup-simplify]: Simplify (+ (* (cos x) (cos x)) (* 1.0 (cos x))) into (+ (pow (cos x) 2) (* 1.0 (cos x))) 1.637 * [approximate]: Taking taylor expansion of (+ (pow (cos x) 2) (* 1.0 (cos x))) in (x) around 0 1.637 * [taylor]: Taking taylor expansion of (+ (pow (cos x) 2) (* 1.0 (cos x))) in x 1.637 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 1.637 * [taylor]: Taking taylor expansion of (cos x) in x 1.637 * [taylor]: Taking taylor expansion of x in x 1.637 * [backup-simplify]: Simplify 0 into 0 1.637 * [backup-simplify]: Simplify 1 into 1 1.637 * [taylor]: Taking taylor expansion of (* 1.0 (cos x)) in x 1.637 * [taylor]: Taking taylor expansion of 1.0 in x 1.637 * [backup-simplify]: Simplify 1.0 into 1.0 1.637 * [taylor]: Taking taylor expansion of (cos x) in x 1.637 * [taylor]: Taking taylor expansion of x in x 1.637 * [backup-simplify]: Simplify 0 into 0 1.637 * [backup-simplify]: Simplify 1 into 1 1.637 * [taylor]: Taking taylor expansion of (+ (pow (cos x) 2) (* 1.0 (cos x))) in x 1.637 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 1.637 * [taylor]: Taking taylor expansion of (cos x) in x 1.637 * [taylor]: Taking taylor expansion of x in x 1.637 * [backup-simplify]: Simplify 0 into 0 1.637 * [backup-simplify]: Simplify 1 into 1 1.637 * [taylor]: Taking taylor expansion of (* 1.0 (cos x)) in x 1.637 * [taylor]: Taking taylor expansion of 1.0 in x 1.637 * [backup-simplify]: Simplify 1.0 into 1.0 1.637 * [taylor]: Taking taylor expansion of (cos x) in x 1.637 * [taylor]: Taking taylor expansion of x in x 1.637 * [backup-simplify]: Simplify 0 into 0 1.637 * [backup-simplify]: Simplify 1 into 1 1.638 * [backup-simplify]: Simplify (* 1 1) into 1 1.638 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 1.638 * [backup-simplify]: Simplify (+ 1 1.0) into 2.0 1.638 * [backup-simplify]: Simplify 2.0 into 2.0 1.638 * [backup-simplify]: Simplify (+ 0) into 0 1.639 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.639 * [backup-simplify]: Simplify (+ 0) into 0 1.639 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 1.640 * [backup-simplify]: Simplify (+ 0 0) into 0 1.640 * [backup-simplify]: Simplify 0 into 0 1.640 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.641 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/2 1))) into -1 1.641 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.642 * [backup-simplify]: Simplify (+ (* 1.0 -1/2) (+ (* 0 0) (* 0 1))) into (- 0.5) 1.643 * [backup-simplify]: Simplify (+ -1 (- 0.5)) into (- 1.5) 1.643 * [backup-simplify]: Simplify (- 1.5) into (- 1.5) 1.649 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/2 0) (* 0 1)))) into 0 1.650 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.651 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 1.651 * [backup-simplify]: Simplify (+ 0 0) into 0 1.651 * [backup-simplify]: Simplify 0 into 0 1.653 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 1.654 * [backup-simplify]: Simplify (+ (* 1 1/24) (+ (* 0 0) (+ (* -1/2 -1/2) (+ (* 0 0) (* 1/24 1))))) into 1/3 1.655 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 1.657 * [backup-simplify]: Simplify (+ (* 1.0 1/24) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 0.041666666666666664 1.657 * [backup-simplify]: Simplify (+ 1/3 0.041666666666666664) into 0.375 1.658 * [backup-simplify]: Simplify 0.375 into 0.375 1.658 * [backup-simplify]: Simplify (+ (* 0.375 (pow x 4)) (+ (* (- 1.5) (pow x 2)) 2.0)) into (- (+ (* 0.375 (pow x 4)) 2.0) (* 1.5 (pow x 2))) 1.658 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) (cos (/ 1 x))) (* 1.0 (cos (/ 1 x)))) into (+ (* 1.0 (cos (/ 1 x))) (pow (cos (/ 1 x)) 2)) 1.658 * [approximate]: Taking taylor expansion of (+ (* 1.0 (cos (/ 1 x))) (pow (cos (/ 1 x)) 2)) in (x) around 0 1.659 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos (/ 1 x))) (pow (cos (/ 1 x)) 2)) in x 1.659 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ 1 x))) in x 1.659 * [taylor]: Taking taylor expansion of 1.0 in x 1.659 * [backup-simplify]: Simplify 1.0 into 1.0 1.659 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.659 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.659 * [taylor]: Taking taylor expansion of x in x 1.659 * [backup-simplify]: Simplify 0 into 0 1.659 * [backup-simplify]: Simplify 1 into 1 1.659 * [backup-simplify]: Simplify (/ 1 1) into 1 1.659 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.659 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 1.659 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.659 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.659 * [taylor]: Taking taylor expansion of x in x 1.659 * [backup-simplify]: Simplify 0 into 0 1.659 * [backup-simplify]: Simplify 1 into 1 1.659 * [backup-simplify]: Simplify (/ 1 1) into 1 1.659 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.659 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos (/ 1 x))) (pow (cos (/ 1 x)) 2)) in x 1.659 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ 1 x))) in x 1.659 * [taylor]: Taking taylor expansion of 1.0 in x 1.659 * [backup-simplify]: Simplify 1.0 into 1.0 1.659 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.659 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.659 * [taylor]: Taking taylor expansion of x in x 1.659 * [backup-simplify]: Simplify 0 into 0 1.659 * [backup-simplify]: Simplify 1 into 1 1.660 * [backup-simplify]: Simplify (/ 1 1) into 1 1.660 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.660 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 1.660 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.660 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.660 * [taylor]: Taking taylor expansion of x in x 1.660 * [backup-simplify]: Simplify 0 into 0 1.660 * [backup-simplify]: Simplify 1 into 1 1.660 * [backup-simplify]: Simplify (/ 1 1) into 1 1.660 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.660 * [backup-simplify]: Simplify (* 1.0 (cos (/ 1 x))) into (* 1.0 (cos (/ 1 x))) 1.660 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (cos (/ 1 x))) into (pow (cos (/ 1 x)) 2) 1.661 * [backup-simplify]: Simplify (+ (* 1.0 (cos (/ 1 x))) (pow (cos (/ 1 x)) 2)) into (+ (* 1.0 (cos (/ 1 x))) (pow (cos (/ 1 x)) 2)) 1.661 * [backup-simplify]: Simplify (+ (* 1.0 (cos (/ 1 x))) (pow (cos (/ 1 x)) 2)) into (+ (* 1.0 (cos (/ 1 x))) (pow (cos (/ 1 x)) 2)) 1.661 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (cos (/ 1 x)))) into 0 1.661 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (cos (/ 1 x)))) into 0 1.661 * [backup-simplify]: Simplify (+ 0 0) into 0 1.661 * [backup-simplify]: Simplify 0 into 0 1.662 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) into 0 1.662 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) into 0 1.662 * [backup-simplify]: Simplify (+ 0 0) into 0 1.662 * [backup-simplify]: Simplify 0 into 0 1.663 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) into 0 1.664 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) into 0 1.664 * [backup-simplify]: Simplify (+ 0 0) into 0 1.664 * [backup-simplify]: Simplify 0 into 0 1.665 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))) into 0 1.666 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))) into 0 1.666 * [backup-simplify]: Simplify (+ 0 0) into 0 1.666 * [backup-simplify]: Simplify 0 into 0 1.667 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))) into 0 1.668 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))) into 0 1.668 * [backup-simplify]: Simplify (+ 0 0) into 0 1.668 * [backup-simplify]: Simplify 0 into 0 1.670 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))))) into 0 1.671 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))))) into 0 1.671 * [backup-simplify]: Simplify (+ 0 0) into 0 1.671 * [backup-simplify]: Simplify 0 into 0 1.671 * [backup-simplify]: Simplify (+ (* 1.0 (cos (/ 1 (/ 1 x)))) (pow (cos (/ 1 (/ 1 x))) 2)) into (+ (pow (cos x) 2) (* 1.0 (cos x))) 1.671 * [backup-simplify]: Simplify (+ (* (cos (/ 1 (- x))) (cos (/ 1 (- x)))) (* 1.0 (cos (/ 1 (- x))))) into (+ (* 1.0 (cos (/ -1 x))) (pow (cos (/ -1 x)) 2)) 1.671 * [approximate]: Taking taylor expansion of (+ (* 1.0 (cos (/ -1 x))) (pow (cos (/ -1 x)) 2)) in (x) around 0 1.671 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos (/ -1 x))) (pow (cos (/ -1 x)) 2)) in x 1.671 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ -1 x))) in x 1.671 * [taylor]: Taking taylor expansion of 1.0 in x 1.671 * [backup-simplify]: Simplify 1.0 into 1.0 1.671 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.671 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.671 * [taylor]: Taking taylor expansion of -1 in x 1.672 * [backup-simplify]: Simplify -1 into -1 1.672 * [taylor]: Taking taylor expansion of x in x 1.672 * [backup-simplify]: Simplify 0 into 0 1.672 * [backup-simplify]: Simplify 1 into 1 1.672 * [backup-simplify]: Simplify (/ -1 1) into -1 1.672 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.672 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 1.672 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.672 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.672 * [taylor]: Taking taylor expansion of -1 in x 1.672 * [backup-simplify]: Simplify -1 into -1 1.672 * [taylor]: Taking taylor expansion of x in x 1.672 * [backup-simplify]: Simplify 0 into 0 1.672 * [backup-simplify]: Simplify 1 into 1 1.672 * [backup-simplify]: Simplify (/ -1 1) into -1 1.672 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.672 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos (/ -1 x))) (pow (cos (/ -1 x)) 2)) in x 1.672 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ -1 x))) in x 1.672 * [taylor]: Taking taylor expansion of 1.0 in x 1.672 * [backup-simplify]: Simplify 1.0 into 1.0 1.672 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.672 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.672 * [taylor]: Taking taylor expansion of -1 in x 1.672 * [backup-simplify]: Simplify -1 into -1 1.672 * [taylor]: Taking taylor expansion of x in x 1.672 * [backup-simplify]: Simplify 0 into 0 1.673 * [backup-simplify]: Simplify 1 into 1 1.673 * [backup-simplify]: Simplify (/ -1 1) into -1 1.673 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.673 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 1.673 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.673 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.673 * [taylor]: Taking taylor expansion of -1 in x 1.673 * [backup-simplify]: Simplify -1 into -1 1.673 * [taylor]: Taking taylor expansion of x in x 1.673 * [backup-simplify]: Simplify 0 into 0 1.673 * [backup-simplify]: Simplify 1 into 1 1.673 * [backup-simplify]: Simplify (/ -1 1) into -1 1.673 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.673 * [backup-simplify]: Simplify (* 1.0 (cos (/ -1 x))) into (* 1.0 (cos (/ -1 x))) 1.674 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (cos (/ -1 x))) into (pow (cos (/ -1 x)) 2) 1.674 * [backup-simplify]: Simplify (+ (* 1.0 (cos (/ -1 x))) (pow (cos (/ -1 x)) 2)) into (+ (pow (cos (/ -1 x)) 2) (* 1.0 (cos (/ -1 x)))) 1.674 * [backup-simplify]: Simplify (+ (pow (cos (/ -1 x)) 2) (* 1.0 (cos (/ -1 x)))) into (+ (* 1.0 (cos (/ -1 x))) (pow (cos (/ -1 x)) 2)) 1.674 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (cos (/ -1 x)))) into 0 1.675 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (cos (/ -1 x)))) into 0 1.675 * [backup-simplify]: Simplify (+ 0 0) into 0 1.675 * [backup-simplify]: Simplify 0 into 0 1.675 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))) into 0 1.676 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))) into 0 1.676 * [backup-simplify]: Simplify (+ 0 0) into 0 1.676 * [backup-simplify]: Simplify 0 into 0 1.677 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) into 0 1.677 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) into 0 1.677 * [backup-simplify]: Simplify (+ 0 0) into 0 1.677 * [backup-simplify]: Simplify 0 into 0 1.678 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))) into 0 1.679 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))) into 0 1.679 * [backup-simplify]: Simplify (+ 0 0) into 0 1.679 * [backup-simplify]: Simplify 0 into 0 1.680 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))) into 0 1.681 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))) into 0 1.682 * [backup-simplify]: Simplify (+ 0 0) into 0 1.682 * [backup-simplify]: Simplify 0 into 0 1.683 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))))) into 0 1.684 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))))) into 0 1.684 * [backup-simplify]: Simplify (+ 0 0) into 0 1.684 * [backup-simplify]: Simplify 0 into 0 1.685 * [backup-simplify]: Simplify (+ (* 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (cos (/ -1 (/ 1 (- x)))) 2)) into (+ (pow (cos x) 2) (* 1.0 (cos x))) 1.685 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2) 1.685 * [backup-simplify]: Simplify (pow (cos x) 3) into (pow (cos x) 3) 1.685 * [approximate]: Taking taylor expansion of (pow (cos x) 3) in (x) around 0 1.685 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.685 * [taylor]: Taking taylor expansion of (cos x) in x 1.685 * [taylor]: Taking taylor expansion of x in x 1.685 * [backup-simplify]: Simplify 0 into 0 1.685 * [backup-simplify]: Simplify 1 into 1 1.685 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.685 * [taylor]: Taking taylor expansion of (cos x) in x 1.685 * [taylor]: Taking taylor expansion of x in x 1.685 * [backup-simplify]: Simplify 0 into 0 1.685 * [backup-simplify]: Simplify 1 into 1 1.685 * [backup-simplify]: Simplify (* 1 1) into 1 1.685 * [backup-simplify]: Simplify (* 1 1) into 1 1.685 * [backup-simplify]: Simplify 1 into 1 1.686 * [backup-simplify]: Simplify (+ 0) into 0 1.686 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.686 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.686 * [backup-simplify]: Simplify 0 into 0 1.687 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.688 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/2 1))) into -1 1.688 * [backup-simplify]: Simplify (+ (* 1 -1) (+ (* 0 0) (* -1/2 1))) into -3/2 1.688 * [backup-simplify]: Simplify -3/2 into -3/2 1.689 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/2 0) (* 0 1)))) into 0 1.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1) (+ (* -1/2 0) (* 0 1)))) into 0 1.690 * [backup-simplify]: Simplify 0 into 0 1.692 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 1.693 * [backup-simplify]: Simplify (+ (* 1 1/24) (+ (* 0 0) (+ (* -1/2 -1/2) (+ (* 0 0) (* 1/24 1))))) into 1/3 1.693 * [backup-simplify]: Simplify (+ (* 1 1/3) (+ (* 0 0) (+ (* -1/2 -1) (+ (* 0 0) (* 1/24 1))))) into 7/8 1.693 * [backup-simplify]: Simplify 7/8 into 7/8 1.694 * [backup-simplify]: Simplify (+ (* 7/8 (pow x 4)) (+ (* -3/2 (pow x 2)) 1)) into (- (+ (* 7/8 (pow x 4)) 1) (* 3/2 (pow x 2))) 1.694 * [backup-simplify]: Simplify (pow (cos (/ 1 x)) 3) into (pow (cos (/ 1 x)) 3) 1.694 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in (x) around 0 1.694 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.694 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.694 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.694 * [taylor]: Taking taylor expansion of x in x 1.694 * [backup-simplify]: Simplify 0 into 0 1.694 * [backup-simplify]: Simplify 1 into 1 1.694 * [backup-simplify]: Simplify (/ 1 1) into 1 1.694 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.694 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.694 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.694 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.694 * [taylor]: Taking taylor expansion of x in x 1.694 * [backup-simplify]: Simplify 0 into 0 1.694 * [backup-simplify]: Simplify 1 into 1 1.695 * [backup-simplify]: Simplify (/ 1 1) into 1 1.695 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.695 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (cos (/ 1 x))) into (pow (cos (/ 1 x)) 2) 1.695 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (pow (cos (/ 1 x)) 2)) into (pow (cos (/ 1 x)) 3) 1.695 * [backup-simplify]: Simplify (pow (cos (/ 1 x)) 3) into (pow (cos (/ 1 x)) 3) 1.695 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (cos (/ 1 x)))) into 0 1.695 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (pow (cos (/ 1 x)) 2))) into 0 1.695 * [backup-simplify]: Simplify 0 into 0 1.696 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) into 0 1.696 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2)))) into 0 1.696 * [backup-simplify]: Simplify 0 into 0 1.697 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) into 0 1.697 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2))))) into 0 1.697 * [backup-simplify]: Simplify 0 into 0 1.698 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))) into 0 1.699 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2)))))) into 0 1.699 * [backup-simplify]: Simplify 0 into 0 1.700 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))) into 0 1.701 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2))))))) into 0 1.701 * [backup-simplify]: Simplify 0 into 0 1.702 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))))) into 0 1.703 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2)))))))) into 0 1.703 * [backup-simplify]: Simplify 0 into 0 1.703 * [backup-simplify]: Simplify (pow (cos (/ 1 (/ 1 x))) 3) into (pow (cos x) 3) 1.703 * [backup-simplify]: Simplify (pow (cos (/ 1 (- x))) 3) into (pow (cos (/ -1 x)) 3) 1.703 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in (x) around 0 1.703 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.704 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.704 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.704 * [taylor]: Taking taylor expansion of -1 in x 1.704 * [backup-simplify]: Simplify -1 into -1 1.704 * [taylor]: Taking taylor expansion of x in x 1.704 * [backup-simplify]: Simplify 0 into 0 1.704 * [backup-simplify]: Simplify 1 into 1 1.704 * [backup-simplify]: Simplify (/ -1 1) into -1 1.704 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.704 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.704 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.704 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.704 * [taylor]: Taking taylor expansion of -1 in x 1.704 * [backup-simplify]: Simplify -1 into -1 1.704 * [taylor]: Taking taylor expansion of x in x 1.704 * [backup-simplify]: Simplify 0 into 0 1.704 * [backup-simplify]: Simplify 1 into 1 1.704 * [backup-simplify]: Simplify (/ -1 1) into -1 1.704 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.705 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (cos (/ -1 x))) into (pow (cos (/ -1 x)) 2) 1.705 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (pow (cos (/ -1 x)) 2)) into (pow (cos (/ -1 x)) 3) 1.705 * [backup-simplify]: Simplify (pow (cos (/ -1 x)) 3) into (pow (cos (/ -1 x)) 3) 1.705 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (cos (/ -1 x)))) into 0 1.705 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (pow (cos (/ -1 x)) 2))) into 0 1.705 * [backup-simplify]: Simplify 0 into 0 1.706 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))) into 0 1.706 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2)))) into 0 1.706 * [backup-simplify]: Simplify 0 into 0 1.706 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) into 0 1.707 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2))))) into 0 1.707 * [backup-simplify]: Simplify 0 into 0 1.708 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))) into 0 1.709 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2)))))) into 0 1.709 * [backup-simplify]: Simplify 0 into 0 1.710 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))) into 0 1.711 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2))))))) into 0 1.711 * [backup-simplify]: Simplify 0 into 0 1.712 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))))) into 0 1.713 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2)))))))) into 0 1.713 * [backup-simplify]: Simplify 0 into 0 1.713 * [backup-simplify]: Simplify (pow (cos (/ -1 (/ 1 (- x)))) 3) into (pow (cos x) 3) 1.713 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 1.713 * [backup-simplify]: Simplify (* (cos x) (cos x)) into (pow (cos x) 2) 1.713 * [approximate]: Taking taylor expansion of (pow (cos x) 2) in (x) around 0 1.713 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 1.714 * [taylor]: Taking taylor expansion of (cos x) in x 1.714 * [taylor]: Taking taylor expansion of x in x 1.714 * [backup-simplify]: Simplify 0 into 0 1.714 * [backup-simplify]: Simplify 1 into 1 1.714 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 1.714 * [taylor]: Taking taylor expansion of (cos x) in x 1.714 * [taylor]: Taking taylor expansion of x in x 1.714 * [backup-simplify]: Simplify 0 into 0 1.714 * [backup-simplify]: Simplify 1 into 1 1.714 * [backup-simplify]: Simplify (* 1 1) into 1 1.714 * [backup-simplify]: Simplify 1 into 1 1.714 * [backup-simplify]: Simplify (+ 0) into 0 1.715 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.715 * [backup-simplify]: Simplify 0 into 0 1.715 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.716 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/2 1))) into -1 1.716 * [backup-simplify]: Simplify -1 into -1 1.716 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/2 0) (* 0 1)))) into 0 1.717 * [backup-simplify]: Simplify 0 into 0 1.718 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 1.719 * [backup-simplify]: Simplify (+ (* 1 1/24) (+ (* 0 0) (+ (* -1/2 -1/2) (+ (* 0 0) (* 1/24 1))))) into 1/3 1.719 * [backup-simplify]: Simplify 1/3 into 1/3 1.720 * [backup-simplify]: Simplify (+ (* 1/3 (pow x 4)) (+ (* -1 (pow x 2)) 1)) into (- (+ (* 1/3 (pow x 4)) 1) (pow x 2)) 1.720 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (cos (/ 1 x))) into (pow (cos (/ 1 x)) 2) 1.720 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in (x) around 0 1.720 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 1.720 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.720 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.720 * [taylor]: Taking taylor expansion of x in x 1.720 * [backup-simplify]: Simplify 0 into 0 1.720 * [backup-simplify]: Simplify 1 into 1 1.720 * [backup-simplify]: Simplify (/ 1 1) into 1 1.720 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.720 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 1.720 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.720 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.720 * [taylor]: Taking taylor expansion of x in x 1.720 * [backup-simplify]: Simplify 0 into 0 1.720 * [backup-simplify]: Simplify 1 into 1 1.720 * [backup-simplify]: Simplify (/ 1 1) into 1 1.721 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.721 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (cos (/ 1 x))) into (pow (cos (/ 1 x)) 2) 1.721 * [backup-simplify]: Simplify (pow (cos (/ 1 x)) 2) into (pow (cos (/ 1 x)) 2) 1.721 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (cos (/ 1 x)))) into 0 1.721 * [backup-simplify]: Simplify 0 into 0 1.721 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) into 0 1.721 * [backup-simplify]: Simplify 0 into 0 1.722 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) into 0 1.722 * [backup-simplify]: Simplify 0 into 0 1.723 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))) into 0 1.723 * [backup-simplify]: Simplify 0 into 0 1.724 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))) into 0 1.724 * [backup-simplify]: Simplify 0 into 0 1.725 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))))) into 0 1.725 * [backup-simplify]: Simplify 0 into 0 1.725 * [backup-simplify]: Simplify (pow (cos (/ 1 (/ 1 x))) 2) into (pow (cos x) 2) 1.725 * [backup-simplify]: Simplify (* (cos (/ 1 (- x))) (cos (/ 1 (- x)))) into (pow (cos (/ -1 x)) 2) 1.725 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in (x) around 0 1.725 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 1.725 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.725 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.725 * [taylor]: Taking taylor expansion of -1 in x 1.725 * [backup-simplify]: Simplify -1 into -1 1.725 * [taylor]: Taking taylor expansion of x in x 1.725 * [backup-simplify]: Simplify 0 into 0 1.725 * [backup-simplify]: Simplify 1 into 1 1.726 * [backup-simplify]: Simplify (/ -1 1) into -1 1.726 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.726 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 1.726 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.726 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.726 * [taylor]: Taking taylor expansion of -1 in x 1.726 * [backup-simplify]: Simplify -1 into -1 1.726 * [taylor]: Taking taylor expansion of x in x 1.726 * [backup-simplify]: Simplify 0 into 0 1.726 * [backup-simplify]: Simplify 1 into 1 1.726 * [backup-simplify]: Simplify (/ -1 1) into -1 1.726 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.726 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (cos (/ -1 x))) into (pow (cos (/ -1 x)) 2) 1.726 * [backup-simplify]: Simplify (pow (cos (/ -1 x)) 2) into (pow (cos (/ -1 x)) 2) 1.726 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (cos (/ -1 x)))) into 0 1.726 * [backup-simplify]: Simplify 0 into 0 1.727 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))) into 0 1.727 * [backup-simplify]: Simplify 0 into 0 1.727 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) into 0 1.727 * [backup-simplify]: Simplify 0 into 0 1.728 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))) into 0 1.728 * [backup-simplify]: Simplify 0 into 0 1.729 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))) into 0 1.729 * [backup-simplify]: Simplify 0 into 0 1.730 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))))) into 0 1.730 * [backup-simplify]: Simplify 0 into 0 1.730 * [backup-simplify]: Simplify (pow (cos (/ -1 (/ 1 (- x)))) 2) into (pow (cos x) 2) 1.730 * * * [progress]: simplifying candidates 1.735 * [simplify]: Simplifying: (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (pow (cbrt (cos x)) 3) (pow (* (cbrt (cos x)) (cbrt (cos x))) 3)))) (fma (- (pow (cbrt (cos x)) 3)) (pow (* (cbrt (cos x)) (cbrt (cos x))) 3) (* (pow (cbrt (cos x)) 3) (pow (* (cbrt (cos x)) (cbrt (cos x))) 3))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (pow (sqrt (cos x)) 3) (pow (sqrt (cos x)) 3)))) (fma (- (pow (sqrt (cos x)) 3)) (pow (sqrt (cos x)) 3) (* (pow (sqrt (cos x)) 3) (pow (sqrt (cos x)) 3))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (pow (cos x) 3) (pow 1 3)))) (fma (- (pow (cos x) 3)) (pow 1 3) (* (pow (cos x) 3) (pow 1 3))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (cos x) (* (cos x) (cos x))))) (fma (- (cos x)) (* (cos x) (cos x)) (* (cos x) (* (cos x) (cos x)))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (cbrt (pow (cos x) 3)) (* (cbrt (pow (cos x) 3)) (cbrt (pow (cos x) 3)))))) (fma (- (cbrt (pow (cos x) 3))) (* (cbrt (pow (cos x) 3)) (cbrt (pow (cos x) 3))) (* (cbrt (pow (cos x) 3)) (* (cbrt (pow (cos x) 3)) (cbrt (pow (cos x) 3))))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (pow (cbrt (cos x)) 3) (pow (* (cbrt (cos x)) (cbrt (cos x))) 3)))) (fma (- (pow (cbrt (cos x)) 3)) (pow (* (cbrt (cos x)) (cbrt (cos x))) 3) (* (pow (cbrt (cos x)) 3) (pow (* (cbrt (cos x)) (cbrt (cos x))) 3))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (pow (sqrt (cos x)) 3) (pow (sqrt (cos x)) 3)))) (fma (- (pow (sqrt (cos x)) 3)) (pow (sqrt (cos x)) 3) (* (pow (sqrt (cos x)) 3) (pow (sqrt (cos x)) 3))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (pow (cos x) 3) (pow 1 3)))) (fma (- (pow (cos x) 3)) (pow 1 3) (* (pow (cos x) 3) (pow 1 3))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (* (cos x) (cos x)) (cos x)))) (fma (- (* (cos x) (cos x))) (cos x) (* (* (cos x) (cos x)) (cos x))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (sqrt (pow (cos x) 3)) (sqrt (pow (cos x) 3))))) (fma (- (sqrt (pow (cos x) 3))) (sqrt (pow (cos x) 3)) (* (sqrt (pow (cos x) 3)) (sqrt (pow (cos x) 3)))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (pow (cos x) 3) 1))) (fma (- (pow (cos x) 3)) 1 (* (pow (cos x) 3) 1)) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (pow (cos x) (/ 3 2)) (pow (cos x) (/ 3 2))))) (fma (- (pow (cos x) (/ 3 2))) (pow (cos x) (/ 3 2)) (* (pow (cos x) (/ 3 2)) (pow (cos x) (/ 3 2)))) (fma (pow (sqrt 1.0) 3) (pow (sqrt 1.0) 3) (- (* (pow (cbrt (cos x)) 3) (pow (* (cbrt (cos x)) (cbrt (cos x))) 3)))) (fma (- (pow (cbrt (cos x)) 3)) (pow (* (cbrt (cos x)) (cbrt (cos x))) 3) (* (pow (cbrt (cos x)) 3) (pow (* (cbrt (cos x)) (cbrt (cos x))) 3))) (fma (pow (sqrt 1.0) 3) (pow (sqrt 1.0) 3) (- (* (pow (sqrt (cos x)) 3) (pow (sqrt (cos x)) 3)))) (fma (- (pow (sqrt (cos x)) 3)) (pow (sqrt (cos x)) 3) (* (pow (sqrt (cos x)) 3) (pow (sqrt (cos x)) 3))) (fma (pow (sqrt 1.0) 3) (pow (sqrt 1.0) 3) (- (* (pow (cos x) 3) (pow 1 3)))) (fma (- (pow (cos x) 3)) (pow 1 3) (* (pow (cos x) 3) (pow 1 3))) (fma (pow (sqrt 1.0) 3) (pow (sqrt 1.0) 3) (- (* (cos x) (* (cos x) (cos x))))) (fma (- (cos x)) (* (cos x) (cos x)) (* (cos x) (* (cos x) (cos x)))) (fma (pow (sqrt 1.0) 3) (pow (sqrt 1.0) 3) (- (* (cbrt (pow (cos x) 3)) (* (cbrt (pow (cos x) 3)) (cbrt (pow (cos x) 3)))))) (fma (- (cbrt (pow (cos x) 3))) (* (cbrt (pow (cos x) 3)) (cbrt (pow (cos x) 3))) (* (cbrt (pow (cos x) 3)) (* (cbrt (pow (cos x) 3)) (cbrt (pow (cos x) 3))))) (fma (pow (sqrt 1.0) 3) (pow (sqrt 1.0) 3) (- (* (pow (cbrt (cos x)) 3) (pow (* (cbrt (cos x)) (cbrt (cos x))) 3)))) (fma (- (pow (cbrt (cos x)) 3)) (pow (* (cbrt (cos x)) (cbrt (cos x))) 3) (* (pow (cbrt (cos x)) 3) (pow (* (cbrt (cos x)) (cbrt (cos x))) 3))) (fma (pow (sqrt 1.0) 3) (pow (sqrt 1.0) 3) (- (* (pow (sqrt (cos x)) 3) (pow (sqrt (cos x)) 3)))) (fma (- (pow (sqrt (cos x)) 3)) (pow (sqrt (cos x)) 3) (* (pow (sqrt (cos x)) 3) (pow (sqrt (cos x)) 3))) (fma (pow (sqrt 1.0) 3) (pow (sqrt 1.0) 3) (- (* (pow (cos x) 3) (pow 1 3)))) (fma (- (pow (cos x) 3)) (pow 1 3) (* (pow (cos x) 3) (pow 1 3))) (fma (pow (sqrt 1.0) 3) (pow (sqrt 1.0) 3) (- (* (* (cos x) (cos x)) (cos x)))) (fma (- (* (cos x) (cos x))) (cos x) (* (* (cos x) (cos x)) (cos x))) (fma (pow (sqrt 1.0) 3) (pow (sqrt 1.0) 3) (- (* (sqrt (pow (cos x) 3)) (sqrt (pow (cos x) 3))))) (fma (- (sqrt (pow (cos x) 3))) (sqrt (pow (cos x) 3)) (* (sqrt (pow (cos x) 3)) (sqrt (pow (cos x) 3)))) (fma (pow (sqrt 1.0) 3) (pow (sqrt 1.0) 3) (- (* (pow (cos x) 3) 1))) (fma (- (pow (cos x) 3)) 1 (* (pow (cos x) 3) 1)) (fma (pow (sqrt 1.0) 3) (pow (sqrt 1.0) 3) (- (* (pow (cos x) (/ 3 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x) 3)) (sqrt (pow (cos x) 3)) (pow (cos x) (/ 3 2)) (pow (cos x) (/ 3 2)) (expm1 (* (cos x) (cos x))) (log1p (* (cos x) (cos x))) (* 1/2 (cos (* 2 x))) (+ (cos (+ x x)) (cos (- x x))) (+ 1 1) (* (cos x) (cos x)) (+ 1 1) (+ (log (cos x)) (log (cos x))) (log (* (cos x) (cos x))) (exp (* (cos x) (cos x))) (* (* (* (cos x) (cos x)) (cos x)) (* (* (cos x) (cos x)) (cos x))) (* (cbrt (* (cos x) (cos x))) (cbrt (* (cos x) (cos x)))) (cbrt (* (cos x) (cos x))) (* (* (* (cos x) (cos x)) (* (cos x) (cos x))) (* (cos x) (cos x))) (sqrt (* (cos x) (cos x))) (sqrt (* (cos x) (cos x))) (* (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x)))) (* (cbrt (cos x)) (cbrt (cos x))) (* (sqrt (cos x)) (sqrt (cos x))) (* (sqrt (cos x)) (sqrt (cos x))) (* 1 1) (* (cos x) (cos x)) (* (sqrt (cos x)) (sqrt (cos x))) (* (sqrt (cos x)) (sqrt (cos x))) (* 2 1) (* (cos x) (* (cbrt (cos x)) (cbrt (cos x)))) (* (cos x) (sqrt (cos x))) (* (cos x) 1) (* (cbrt (cos x)) (cos x)) (* (sqrt (cos x)) (cos x)) (* (cos x) (cos x)) (- (+ (* 3/2 (pow x 2)) (* 61/240 (pow x 6))) (* 7/8 (pow x 4))) (- 1.0 (pow (cos x) 3)) (- 1.0 (pow (cos x) 3)) (- (+ (* 0.375 (pow x 4)) 2.0) (* 1.5 (pow x 2))) (+ (pow (cos x) 2) (* 1.0 (cos x))) (+ (pow (cos x) 2) (* 1.0 (cos x))) (- (+ (* 7/8 (pow x 4)) 1) (* 3/2 (pow x 2))) (pow (cos x) 3) (pow (cos x) 3) (- (+ (* 1/3 (pow x 4)) 1) (pow x 2)) (pow (cos x) 2) (pow (cos x) 2) 1.742 * [simplify]: Sending expressions to egg_math: (fma (pow (* (cbrt h0) (cbrt h0)) 3) (pow (cbrt h0) 3) (- (* (pow (cbrt (cos h1)) 3) (pow (* (cbrt (cos h1)) (cbrt (cos h1))) 3)))) (fma (- (pow (cbrt (cos h1)) 3)) (pow (* (cbrt (cos h1)) (cbrt (cos h1))) 3) (* (pow (cbrt (cos h1)) 3) (pow (* (cbrt (cos h1)) (cbrt (cos h1))) 3))) (fma (pow (* (cbrt h0) (cbrt h0)) 3) (pow (cbrt h0) 3) (- (* (pow (sqrt (cos h1)) 3) (pow (sqrt (cos h1)) 3)))) (fma (- (pow (sqrt (cos h1)) 3)) (pow (sqrt (cos h1)) 3) (* (pow (sqrt (cos h1)) 3) (pow (sqrt (cos h1)) 3))) (fma (pow (* (cbrt h0) (cbrt h0)) 3) (pow 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h1))) (* 1/2 (cos (* 2 h1))) (+ (cos (+ h1 h1)) (cos (- h1 h1))) (+ 1 1) (* (cos h1) (cos h1)) (+ 1 1) (+ (log (cos h1)) (log (cos h1))) (log (* (cos h1) (cos h1))) (exp (* (cos h1) (cos h1))) (* (* (* (cos h1) (cos h1)) (cos h1)) (* (* (cos h1) (cos h1)) (cos h1))) (* (cbrt (* (cos h1) (cos h1))) (cbrt (* (cos h1) (cos h1)))) (cbrt (* (cos h1) (cos h1))) (* (* (* (cos h1) (cos h1)) (* (cos h1) (cos h1))) (* (cos h1) (cos h1))) (sqrt (* (cos h1) (cos h1))) (sqrt (* (cos h1) (cos h1))) (* (* (cbrt (cos h1)) (cbrt (cos h1))) (* (cbrt (cos h1)) (cbrt (cos h1)))) (* (cbrt (cos h1)) (cbrt (cos h1))) (* (sqrt (cos h1)) (sqrt (cos h1))) (* (sqrt (cos h1)) (sqrt (cos h1))) (* 1 1) (* (cos h1) (cos h1)) (* (sqrt (cos h1)) (sqrt (cos h1))) (* (sqrt (cos h1)) (sqrt (cos h1))) (* 2 1) (* (cos h1) (* (cbrt (cos h1)) (cbrt (cos h1)))) (* (cos h1) (sqrt (cos h1))) (* (cos h1) 1) (* (cbrt (cos h1)) (cos h1)) (* (sqrt (cos h1)) (cos h1)) (* (cos h1) (cos h1)) (- (+ (* 3/2 (pow h1 2)) (* 61/240 (pow h1 6))) (* 7/8 (pow h1 4))) (- h0 (pow (cos h1) 3)) (- h0 (pow (cos h1) 3)) (- (+ (* h2 (pow h1 4)) h3) (* h4 (pow h1 2))) (+ (pow (cos h1) 2) (* h0 (cos h1))) (+ (pow (cos h1) 2) (* h0 (cos h1))) (- (+ (* 7/8 (pow h1 4)) 1) (* 3/2 (pow h1 2))) (pow (cos h1) 3) (pow (cos h1) 3) (- (+ (* 1/3 (pow h1 4)) 1) (pow h1 2)) (pow (cos h1) 2) (pow (cos h1) 2) 1.756 * * [simplify]: iteration 0 : 656 enodes (cost 2815 ) 1.768 * * [simplify]: iteration 1 : 2754 enodes (cost 1911 ) 1.864 * * [simplify]: iteration 2 : 5001 enodes (cost 1872 ) 1.874 * * * [progress]: adding candidates to table 2.195 * [progress]: [Phase 3 of 3] Extracting. 2.196 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # #) 2.198 * * * [regime-changes]: Trying 1 branch expressions: (x) 2.198 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # # #) 2.265 * * * [regime]: Found split indices: #