5.809 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.134 * * * [progress]: [2/2] Setting up program. 0.137 * [progress]: [Phase 2 of 3] Improving. 0.137 * [simplify]: Simplifying: (/ (- 1.0 (cos x)) (sin x)) 0.137 * [simplify]: Sending expressions to egg_math: (/ (- h1 (cos h0)) (sin h0)) 0.139 * * [simplify]: iteration 0 : 11 enodes (cost 4 ) 0.140 * * [simplify]: iteration 1 : 14 enodes (cost 4 ) 0.141 * * [simplify]: iteration 2 : 16 enodes (cost 4 ) 0.142 * * [simplify]: iteration 3 : 16 enodes (cost 4 ) 0.143 * * [progress]: iteration 1 / 4 0.143 * * * [progress]: picking best candidate 0.145 * * * * [pick]: Picked # 0.145 * * * [progress]: localizing error 0.152 * * * [progress]: generating rewritten candidates 0.152 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.159 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.180 * * * [progress]: generating series expansions 0.180 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.180 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 0.180 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.180 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.180 * [taylor]: Taking taylor expansion of 1.0 in x 0.180 * [backup-simplify]: Simplify 1.0 into 1.0 0.180 * [taylor]: Taking taylor expansion of (cos x) in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 1 into 1 0.180 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.180 * [taylor]: Taking taylor expansion of 1.0 in x 0.180 * [backup-simplify]: Simplify 1.0 into 1.0 0.180 * [taylor]: Taking taylor expansion of (cos x) in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 1 into 1 0.181 * [backup-simplify]: Simplify (- 1) into -1 0.181 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify (+ 0) into 0 0.182 * [backup-simplify]: Simplify (- 0) into 0 0.182 * [backup-simplify]: Simplify (+ 0 0) into 0 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.183 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.183 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.183 * [backup-simplify]: Simplify 1/2 into 1/2 0.184 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 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 0.186 * [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 0.186 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.186 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.186 * [backup-simplify]: Simplify -1/24 into -1/24 0.187 * [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 0.187 * [backup-simplify]: Simplify (- 0) into 0 0.188 * [backup-simplify]: Simplify (+ 0 0) into 0 0.188 * [backup-simplify]: Simplify 0 into 0 0.196 * [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 0.196 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.196 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.196 * [backup-simplify]: Simplify 1/720 into 1/720 0.197 * [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))) 0.197 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.197 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.197 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.197 * [taylor]: Taking taylor expansion of 1.0 in x 0.197 * [backup-simplify]: Simplify 1.0 into 1.0 0.197 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.197 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.197 * [taylor]: Taking taylor expansion of x in x 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.197 * [backup-simplify]: Simplify (/ 1 1) into 1 0.197 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.197 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.197 * [taylor]: Taking taylor expansion of 1.0 in x 0.197 * [backup-simplify]: Simplify 1.0 into 1.0 0.197 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.197 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.197 * [taylor]: Taking taylor expansion of x in x 0.197 * [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 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.198 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.198 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.198 * [backup-simplify]: Simplify (- 0) into 0 0.199 * [backup-simplify]: Simplify (+ 0 0) into 0 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify (- 0) into 0 0.199 * [backup-simplify]: Simplify (+ 0 0) into 0 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify (- 0) into 0 0.199 * [backup-simplify]: Simplify (+ 0 0) into 0 0.199 * [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 0.200 * [backup-simplify]: Simplify (+ 0 0) into 0 0.200 * [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 (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 0.201 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 0.201 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.201 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.201 * [taylor]: Taking taylor expansion of 1.0 in x 0.201 * [backup-simplify]: Simplify 1.0 into 1.0 0.201 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.201 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.201 * [taylor]: Taking taylor expansion of -1 in x 0.201 * [backup-simplify]: Simplify -1 into -1 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 1 into 1 0.201 * [backup-simplify]: Simplify (/ -1 1) into -1 0.202 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.202 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 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 (/ -1 x)) in x 0.202 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.202 * [taylor]: Taking taylor expansion of -1 in x 0.202 * [backup-simplify]: Simplify -1 into -1 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 * [backup-simplify]: Simplify (/ -1 1) into -1 0.202 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.202 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.202 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.202 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 0.202 * [backup-simplify]: Simplify (- 0) into 0 0.203 * [backup-simplify]: Simplify (+ 0 0) into 0 0.203 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify (- 0) into 0 0.204 * [backup-simplify]: Simplify (+ 0 0) into 0 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify (- 0) into 0 0.204 * [backup-simplify]: Simplify (+ 0 0) into 0 0.204 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify (- 0) into 0 0.205 * [backup-simplify]: Simplify (+ 0 0) into 0 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify (- 0) into 0 0.205 * [backup-simplify]: Simplify (+ 0 0) into 0 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify (- 0) into 0 0.206 * [backup-simplify]: Simplify (+ 0 0) into 0 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 0.206 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.206 * [backup-simplify]: Simplify (/ (- 1.0 (cos x)) (sin x)) into (/ (- 1.0 (cos x)) (sin x)) 0.206 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 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 0.207 * [backup-simplify]: Simplify (- 1) into -1 0.207 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.207 * [backup-simplify]: Simplify (+ 0) into 0 0.207 * [backup-simplify]: Simplify (- 0) into 0 0.208 * [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 0.209 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.209 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 0.210 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.210 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.210 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.210 * [taylor]: Taking taylor expansion of 1.0 in x 0.210 * [backup-simplify]: Simplify 1.0 into 1.0 0.210 * [taylor]: Taking taylor expansion of (cos x) in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 1 into 1 0.210 * [taylor]: Taking taylor expansion of (sin x) in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 1 into 1 0.210 * [backup-simplify]: Simplify (- 1) into -1 0.210 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.211 * [backup-simplify]: Simplify (+ 0) into 0 0.211 * [backup-simplify]: Simplify (- 0) into 0 0.211 * [backup-simplify]: Simplify (+ 0 0) into 0 0.211 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.212 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.212 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.212 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 0.213 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.213 * [backup-simplify]: Simplify 1/2 into 1/2 0.213 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.214 * [backup-simplify]: Simplify (- 0) into 0 0.214 * [backup-simplify]: Simplify (+ 0 0) into 0 0.214 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.215 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.215 * [backup-simplify]: Simplify 0 into 0 0.216 * [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 0.216 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.217 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.218 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 0.218 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/24 0.218 * [backup-simplify]: Simplify 1/24 into 1/24 0.220 * [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 0.220 * [backup-simplify]: Simplify (- 0) into 0 0.220 * [backup-simplify]: Simplify (+ 0 0) into 0 0.221 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/24 (/ 0 1)))) into 0 0.222 * [backup-simplify]: Simplify 0 into 0 0.224 * [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 0.224 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.224 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.226 * [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 0.227 * [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 0.227 * [backup-simplify]: Simplify 1/240 into 1/240 0.228 * [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))) 0.228 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 0.228 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.228 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.228 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.228 * [taylor]: Taking taylor expansion of 1.0 in x 0.228 * [backup-simplify]: Simplify 1.0 into 1.0 0.228 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.228 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 1 into 1 0.228 * [backup-simplify]: Simplify (/ 1 1) into 1 0.228 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.228 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.228 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 1 into 1 0.228 * [backup-simplify]: Simplify (/ 1 1) into 1 0.229 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 0.229 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.229 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.229 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 0.229 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.229 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.229 * [taylor]: Taking taylor expansion of 1.0 in x 0.229 * [backup-simplify]: Simplify 1.0 into 1.0 0.229 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.229 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.229 * [taylor]: Taking taylor expansion of x in x 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify 1 into 1 0.229 * [backup-simplify]: Simplify (/ 1 1) into 1 0.229 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.229 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.229 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.229 * [taylor]: Taking taylor expansion of x in x 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify 1 into 1 0.230 * [backup-simplify]: Simplify (/ 1 1) into 1 0.230 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 0.230 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.230 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.230 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 0.230 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 0.230 * [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)))))) into 0 0.231 * [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)))))) into 0 0.231 * [backup-simplify]: Simplify 0 into 0 0.232 * [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)))))) into 0 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify (- 0) into 0 0.233 * [backup-simplify]: Simplify (+ 0 0) into 0 0.233 * [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 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify (- 0) into 0 0.234 * [backup-simplify]: Simplify (+ 0 0) into 0 0.234 * [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 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify (- 0) into 0 0.234 * [backup-simplify]: Simplify (+ 0 0) into 0 0.235 * [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 0.235 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (/ 1 x)))) (sin (/ 1 (/ 1 x)))) into (/ (- 1.0 (cos x)) (sin 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 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.235 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.235 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.235 * [taylor]: Taking taylor expansion of 1.0 in x 0.235 * [backup-simplify]: Simplify 1.0 into 1.0 0.235 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.235 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.235 * [taylor]: Taking taylor expansion of -1 in x 0.235 * [backup-simplify]: Simplify -1 into -1 0.235 * [taylor]: Taking taylor expansion of x in x 0.235 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify 1 into 1 0.236 * [backup-simplify]: Simplify (/ -1 1) into -1 0.236 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.236 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.236 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.236 * [taylor]: Taking taylor expansion of -1 in x 0.236 * [backup-simplify]: Simplify -1 into -1 0.236 * [taylor]: Taking taylor expansion of x in x 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 1 into 1 0.236 * [backup-simplify]: Simplify (/ -1 1) into -1 0.236 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 0.236 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.236 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.236 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 0.236 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.236 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.236 * [taylor]: Taking taylor expansion of 1.0 in x 0.236 * [backup-simplify]: Simplify 1.0 into 1.0 0.236 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.236 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.236 * [taylor]: Taking taylor expansion of -1 in x 0.236 * [backup-simplify]: Simplify -1 into -1 0.236 * [taylor]: Taking taylor expansion of x in x 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 1 into 1 0.237 * [backup-simplify]: Simplify (/ -1 1) into -1 0.237 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.237 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.237 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.237 * [taylor]: Taking taylor expansion of -1 in x 0.237 * [backup-simplify]: Simplify -1 into -1 0.237 * [taylor]: Taking taylor expansion of x in x 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 1 into 1 0.237 * [backup-simplify]: Simplify (/ -1 1) into -1 0.237 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 0.237 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.237 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.237 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 0.238 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 0.238 * [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)))))) into 0 0.238 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify (- 0) into 0 0.239 * [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)))))) 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)))))) into 0 0.240 * [backup-simplify]: Simplify 0 into 0 0.240 * [backup-simplify]: Simplify (- 0) into 0 0.240 * [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)))))) into 0 0.240 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify (- 0) into 0 0.241 * [backup-simplify]: Simplify (+ 0 0) into 0 0.241 * [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 0.241 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify (- 0) into 0 0.242 * [backup-simplify]: Simplify (+ 0 0) into 0 0.242 * [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 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 (/ 1 (- x))))) (sin (/ -1 (/ 1 (- x))))) into (/ (- 1.0 (cos x)) (sin x)) 0.242 * * * [progress]: simplifying candidates 0.244 * [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)) 0.244 * [simplify]: Sending expressions to egg_math: (fma (* (cbrt h1) (cbrt h1)) (cbrt h1) (- (* (cbrt (cos h0)) (* (cbrt (cos h0)) (cbrt (cos h0)))))) (fma (- (cbrt (cos h0))) (* (cbrt (cos h0)) (cbrt (cos h0))) (* (cbrt (cos h0)) (* (cbrt (cos h0)) (cbrt (cos h0))))) (fma (* (cbrt h1) (cbrt h1)) (cbrt h1) (- (* (sqrt (cos h0)) (sqrt (cos h0))))) (fma (- (sqrt (cos h0))) (sqrt (cos h0)) (* (sqrt (cos h0)) (sqrt (cos h0)))) (fma (* (cbrt h1) (cbrt h1)) (cbrt h1) (- (* (cos h0) 1))) (fma (- (cos h0)) 1 (* (cos h0) 1)) (fma (sqrt h1) (sqrt h1) (- (* (cbrt (cos h0)) (* (cbrt (cos h0)) (cbrt (cos h0)))))) (fma (- (cbrt (cos h0))) (* (cbrt (cos h0)) (cbrt (cos h0))) (* (cbrt (cos h0)) (* (cbrt (cos h0)) (cbrt (cos h0))))) (fma (sqrt h1) (sqrt h1) (- (* (sqrt (cos h0)) (sqrt (cos h0))))) (fma (- (sqrt (cos h0))) (sqrt (cos h0)) (* (sqrt (cos h0)) (sqrt (cos h0)))) (fma (sqrt h1) (sqrt h1) (- (* (cos h0) 1))) (fma (- (cos h0)) 1 (* (cos h0) 1)) (fma 1 h1 (- (* (cbrt (cos h0)) (* (cbrt (cos h0)) (cbrt (cos h0)))))) (fma (- (cbrt (cos h0))) (* (cbrt (cos h0)) (cbrt (cos h0))) (* (cbrt (cos h0)) (* (cbrt (cos h0)) (cbrt (cos h0))))) (fma 1 h1 (- (* (sqrt (cos h0)) (sqrt (cos h0))))) (fma (- (sqrt (cos h0))) (sqrt (cos h0)) (* (sqrt (cos h0)) (sqrt (cos h0)))) (fma 1 h1 (- (* (cos h0) 1))) (fma (- (cos h0)) 1 (* (cos h0) 1)) (expm1 (- h1 (cos h0))) (log1p (- h1 (cos h0))) (- (cos h0)) (- (cos h0)) (- (cos h0)) (/ (exp h1) (exp (cos h0))) (log (- h1 (cos h0))) (exp (- h1 (cos h0))) (* (cbrt (- h1 (cos h0))) (cbrt (- h1 (cos h0)))) (cbrt (- h1 (cos h0))) (* (* (- h1 (cos h0)) (- h1 (cos h0))) (- h1 (cos h0))) (sqrt (- h1 (cos h0))) (sqrt (- h1 (cos h0))) (- (pow h1 3) (pow (cos h0) 3)) (+ (* h1 h1) (+ (* (cos h0) (cos h0)) (* h1 (cos h0)))) (- (cos h0)) (- (* h1 h1) (* (cos h0) (cos h0))) (+ h1 (cos h0)) (+ (sqrt h1) (sqrt (cos h0))) (- (sqrt h1) (sqrt (cos h0))) (- h1 (cos h0)) (- (cos h0)) (expm1 (/ (- h1 (cos h0)) (sin h0))) (log1p (/ (- h1 (cos h0)) (sin h0))) (- (log (- h1 (cos h0))) (log (sin h0))) (log (/ (- h1 (cos h0)) (sin h0))) (exp (/ (- h1 (cos h0)) (sin h0))) (/ (* (* (- h1 (cos h0)) (- h1 (cos h0))) (- h1 (cos h0))) (* (* (sin h0) (sin h0)) (sin h0))) (* (cbrt (/ (- h1 (cos h0)) (sin h0))) (cbrt (/ (- h1 (cos h0)) (sin h0)))) (cbrt (/ (- h1 (cos h0)) (sin h0))) (* (* (/ (- h1 (cos h0)) (sin h0)) (/ (- h1 (cos h0)) (sin h0))) (/ (- h1 (cos h0)) (sin h0))) (sqrt (/ (- h1 (cos h0)) (sin h0))) (sqrt (/ (- h1 (cos h0)) (sin h0))) (- (- h1 (cos h0))) (- (sin h0)) (/ h1 (sin h0)) (/ (cos h0) (sin h0)) (/ (* (cbrt (- h1 (cos h0))) (cbrt (- h1 (cos h0)))) (* (cbrt (sin h0)) (cbrt (sin h0)))) (/ (cbrt (- h1 (cos h0))) (cbrt (sin h0))) (/ (* (cbrt (- h1 (cos h0))) (cbrt (- h1 (cos h0)))) (sqrt (sin h0))) (/ (cbrt (- h1 (cos h0))) (sqrt (sin h0))) (/ (* (cbrt (- h1 (cos h0))) (cbrt (- h1 (cos h0)))) 1) (/ (cbrt (- h1 (cos h0))) (sin h0)) (/ (sqrt (- h1 (cos h0))) (* (cbrt (sin h0)) (cbrt (sin h0)))) (/ (sqrt (- h1 (cos h0))) (cbrt (sin h0))) (/ (sqrt (- h1 (cos h0))) (sqrt (sin h0))) (/ (sqrt (- h1 (cos h0))) (sqrt (sin h0))) (/ (sqrt (- h1 (cos h0))) 1) (/ (sqrt (- h1 (cos h0))) (sin h0)) (/ 1 (* (cbrt (sin h0)) (cbrt (sin h0)))) (/ (- h1 (cos h0)) (cbrt (sin h0))) (/ 1 (sqrt (sin h0))) (/ (- h1 (cos h0)) (sqrt (sin h0))) (/ 1 1) (/ (- h1 (cos h0)) (sin h0)) (/ (+ (sqrt h1) (sqrt (cos h0))) (* (cbrt (sin h0)) (cbrt (sin h0)))) (/ (- (sqrt h1) (sqrt (cos h0))) (cbrt (sin h0))) (/ (+ (sqrt h1) (sqrt (cos h0))) (sqrt (sin h0))) (/ (- (sqrt h1) (sqrt (cos h0))) (sqrt (sin h0))) (/ (+ (sqrt h1) (sqrt (cos h0))) 1) (/ (- (sqrt h1) (sqrt (cos h0))) (sin h0)) (/ 1 (* (cbrt (sin h0)) (cbrt (sin h0)))) (/ (- h1 (cos h0)) (cbrt (sin h0))) (/ 1 (sqrt (sin h0))) (/ (- h1 (cos h0)) (sqrt (sin h0))) (/ 1 1) (/ (- h1 (cos h0)) (sin h0)) (/ 1 (sin h0)) (/ (sin h0) (- h1 (cos h0))) (/ (- h1 (cos h0)) (* (cbrt (sin h0)) (cbrt (sin h0)))) (/ (- h1 (cos h0)) (sqrt (sin h0))) (/ (- h1 (cos h0)) 1) (/ (sin h0) (cbrt (- h1 (cos h0)))) (/ (sin h0) (sqrt (- h1 (cos h0)))) (/ (sin h0) (- h1 (cos h0))) (/ (sin h0) (- (sqrt h1) (sqrt (cos h0)))) (/ (sin h0) (- h1 (cos h0))) (* (sin h0) (+ (* h1 h1) (+ (* (cos h0) (cos h0)) (* h1 (cos h0))))) (* (sin h0) (+ h1 (cos h0))) (- (+ (* 1/2 (pow h0 2)) (* 1/720 (pow h0 6))) (* 1/24 (pow h0 4))) (- h1 (cos h0)) (- h1 (cos h0)) (+ (* 1/24 (pow h0 3)) (+ (* 1/240 (pow h0 5)) (* 1/2 h0))) (/ (- h1 (cos h0)) (sin h0)) (/ (- h1 (cos h0)) (sin h0)) 0.248 * * [simplify]: iteration 0 : 292 enodes (cost 569 ) 0.254 * * [simplify]: iteration 1 : 965 enodes (cost 460 ) 0.275 * * [simplify]: iteration 2 : 5002 enodes (cost 460 ) 0.277 * * * [progress]: adding candidates to table 0.431 * * [progress]: iteration 2 / 4 0.431 * * * [progress]: picking best candidate 0.454 * * * * [pick]: Picked # 0.454 * * * [progress]: localizing error 0.465 * * * [progress]: generating rewritten candidates 0.465 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 0.472 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.482 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.489 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.513 * * * [progress]: generating series expansions 0.513 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 0.513 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 0.513 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.513 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.513 * [taylor]: Taking taylor expansion of 1.0 in x 0.513 * [backup-simplify]: Simplify 1.0 into 1.0 0.513 * [taylor]: Taking taylor expansion of (cos x) in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.513 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify 1 into 1 0.513 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.513 * [taylor]: Taking taylor expansion of 1.0 in x 0.513 * [backup-simplify]: Simplify 1.0 into 1.0 0.513 * [taylor]: Taking taylor expansion of (cos x) in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.513 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify 1 into 1 0.514 * [backup-simplify]: Simplify (- 1) into -1 0.514 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.514 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify (+ 0) into 0 0.515 * [backup-simplify]: Simplify (- 0) into 0 0.515 * [backup-simplify]: Simplify (+ 0 0) into 0 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.516 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.516 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.516 * [backup-simplify]: Simplify 1/2 into 1/2 0.517 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.517 * [backup-simplify]: Simplify (- 0) into 0 0.517 * [backup-simplify]: Simplify (+ 0 0) into 0 0.517 * [backup-simplify]: Simplify 0 into 0 0.519 * [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 0.519 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.519 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.519 * [backup-simplify]: Simplify -1/24 into -1/24 0.520 * [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 0.520 * [backup-simplify]: Simplify (- 0) into 0 0.521 * [backup-simplify]: Simplify (+ 0 0) into 0 0.521 * [backup-simplify]: Simplify 0 into 0 0.523 * [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 0.523 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.524 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.524 * [backup-simplify]: Simplify 1/720 into 1/720 0.524 * [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))) 0.524 * [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 0.524 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.524 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.524 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify 1 into 1 0.524 * [backup-simplify]: Simplify (/ 1 1) into 1 0.524 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.524 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.525 * [taylor]: Taking taylor expansion of 1.0 in x 0.525 * [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 x in x 0.525 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify 1 into 1 0.525 * [backup-simplify]: Simplify (/ 1 1) into 1 0.525 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.525 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.525 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.525 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.525 * [backup-simplify]: Simplify (- 0) into 0 0.526 * [backup-simplify]: Simplify (+ 0 0) into 0 0.526 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify (- 0) into 0 0.526 * [backup-simplify]: Simplify (+ 0 0) into 0 0.526 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify (- 0) into 0 0.526 * [backup-simplify]: Simplify (+ 0 0) into 0 0.527 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify (- 0) into 0 0.527 * [backup-simplify]: Simplify (+ 0 0) into 0 0.527 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify (- 0) into 0 0.527 * [backup-simplify]: Simplify (+ 0 0) into 0 0.527 * [backup-simplify]: Simplify 0 into 0 0.528 * [backup-simplify]: Simplify (- 0) into 0 0.528 * [backup-simplify]: Simplify (+ 0 0) into 0 0.528 * [backup-simplify]: Simplify 0 into 0 0.528 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 0.528 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 0.528 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.528 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.528 * [taylor]: Taking taylor expansion of 1.0 in x 0.528 * [backup-simplify]: Simplify 1.0 into 1.0 0.528 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.528 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.528 * [taylor]: Taking taylor expansion of -1 in x 0.528 * [backup-simplify]: Simplify -1 into -1 0.528 * [taylor]: Taking taylor expansion of x in x 0.528 * [backup-simplify]: Simplify 0 into 0 0.528 * [backup-simplify]: Simplify 1 into 1 0.528 * [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 0.529 * [backup-simplify]: Simplify (/ -1 1) into -1 0.529 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.529 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.529 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.529 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 0.529 * [backup-simplify]: Simplify (- 0) into 0 0.530 * [backup-simplify]: Simplify (+ 0 0) into 0 0.530 * [backup-simplify]: Simplify 0 into 0 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 0.530 * [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 0.531 * [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 (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 0.532 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.532 * [backup-simplify]: Simplify (log (- 1.0 (cos x))) into (log (- 1.0 (cos x))) 0.532 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos x))) in (x) around 0 0.532 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 0.532 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.532 * [taylor]: Taking taylor expansion of 1.0 in x 0.532 * [backup-simplify]: Simplify 1.0 into 1.0 0.532 * [taylor]: Taking taylor expansion of (cos x) in x 0.532 * [taylor]: Taking taylor expansion of x in x 0.532 * [backup-simplify]: Simplify 0 into 0 0.532 * [backup-simplify]: Simplify 1 into 1 0.533 * [backup-simplify]: Simplify (- 1) into -1 0.533 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.533 * [backup-simplify]: Simplify (+ 0) into 0 0.533 * [backup-simplify]: Simplify (- 0) into 0 0.533 * [backup-simplify]: Simplify (+ 0 0) into 0 0.534 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.534 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.534 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.535 * [backup-simplify]: Simplify (log 1/2) into (log 1/2) 0.535 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 0.535 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.535 * [taylor]: Taking taylor expansion of 1.0 in x 0.535 * [backup-simplify]: Simplify 1.0 into 1.0 0.535 * [taylor]: Taking taylor expansion of (cos x) in x 0.535 * [taylor]: Taking taylor expansion of x in x 0.535 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify 1 into 1 0.535 * [backup-simplify]: Simplify (- 1) into -1 0.535 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.536 * [backup-simplify]: Simplify (+ 0) into 0 0.536 * [backup-simplify]: Simplify (- 0) into 0 0.536 * [backup-simplify]: Simplify (+ 0 0) into 0 0.537 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.537 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.537 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.537 * [backup-simplify]: Simplify (log 1/2) into (log 1/2) 0.538 * [backup-simplify]: Simplify (+ (* (- -2) (log x)) (log 1/2)) into (+ (* 2 (log x)) (log 1/2)) 0.538 * [backup-simplify]: Simplify (+ (* 2 (log x)) (log 1/2)) into (+ (* 2 (log x)) (log 1/2)) 0.539 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.539 * [backup-simplify]: Simplify (- 0) into 0 0.540 * [backup-simplify]: Simplify (+ 0 0) into 0 0.540 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 0.540 * [backup-simplify]: Simplify 0 into 0 0.542 * [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 0.542 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.542 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.544 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 -1/24) 1)) (pow 1/2 1)))) 2) into -1/12 0.544 * [backup-simplify]: Simplify -1/12 into -1/12 0.545 * [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 0.545 * [backup-simplify]: Simplify (- 0) into 0 0.545 * [backup-simplify]: Simplify (+ 0 0) into 0 0.548 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1/2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/24) 1)) (pow 1/2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1/2 1)))) 6) into 0 0.548 * [backup-simplify]: Simplify 0 into 0 0.550 * [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 0.561 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1/2 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/24) 1)) (pow 1/2 3))) (* -3 (/ (* 1 (pow (* 2 -1/24) 2)) (pow 1/2 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1/2 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/720) 1)) (pow 1/2 1)))) 24) into -1/1440 0.561 * [backup-simplify]: Simplify -1/1440 into -1/1440 0.562 * [backup-simplify]: Simplify (+ (* -1/1440 (pow x 4)) (+ (* -1/12 (pow x 2)) (+ (* 2 (log x)) (log 1/2)))) into (- (+ (* 2 (log x)) (log 1/2)) (+ (* 1/12 (pow x 2)) (* 1/1440 (pow x 4)))) 0.562 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ 1 x)))) into (log (- 1.0 (cos (/ 1 x)))) 0.562 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.562 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 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 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 0.562 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.562 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.562 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.562 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ 1 x)))) into (log (- 1.0 (cos (/ 1 x)))) 0.562 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 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 0.563 * [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 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 (cos (/ 1 x)) into (cos (/ 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 (log (- 1.0 (cos (/ 1 x)))) into (log (- 1.0 (cos (/ 1 x)))) 0.563 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ 1 x)))) into (log (- 1.0 (cos (/ 1 x)))) 0.563 * [backup-simplify]: Simplify (- 0) into 0 0.564 * [backup-simplify]: Simplify (+ 0 0) into 0 0.564 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 1)))) 1) into 0 0.564 * [backup-simplify]: Simplify 0 into 0 0.564 * [backup-simplify]: Simplify (- 0) into 0 0.565 * [backup-simplify]: Simplify (+ 0 0) into 0 0.566 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 1)))) 2) 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 0.568 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- 1.0 (cos (/ 1 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 1)))) 6) into 0 0.568 * [backup-simplify]: Simplify 0 into 0 0.568 * [backup-simplify]: Simplify (- 0) into 0 0.569 * [backup-simplify]: Simplify (+ 0 0) into 0 0.571 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (- 1.0 (cos (/ 1 x))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 1)))) 24) into 0 0.572 * [backup-simplify]: Simplify 0 into 0 0.572 * [backup-simplify]: Simplify (- 0) into 0 0.572 * [backup-simplify]: Simplify (+ 0 0) into 0 0.576 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (- 1.0 (cos (/ 1 x))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (- 1.0 (cos (/ 1 x))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 1)))) 120) into 0 0.576 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify (- 0) into 0 0.577 * [backup-simplify]: Simplify (+ 0 0) into 0 0.584 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (- 1.0 (cos (/ 1 x))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (- 1.0 (cos (/ 1 x))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (- 1.0 (cos (/ 1 x))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 1)))) 720) into 0 0.584 * [backup-simplify]: Simplify 0 into 0 0.584 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ 1 (/ 1 x))))) into (log (- 1.0 (cos x))) 0.584 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ 1 (- x))))) into (log (- 1.0 (cos (/ -1 x)))) 0.584 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in (x) around 0 0.584 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 0.584 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.584 * [taylor]: Taking taylor expansion of 1.0 in x 0.584 * [backup-simplify]: Simplify 1.0 into 1.0 0.584 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.584 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.584 * [taylor]: Taking taylor expansion of -1 in x 0.584 * [backup-simplify]: Simplify -1 into -1 0.584 * [taylor]: Taking taylor expansion of x in x 0.584 * [backup-simplify]: Simplify 0 into 0 0.584 * [backup-simplify]: Simplify 1 into 1 0.585 * [backup-simplify]: Simplify (/ -1 1) into -1 0.585 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.585 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.585 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.585 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ -1 x)))) into (log (- 1.0 (cos (/ -1 x)))) 0.585 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 0.585 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.585 * [taylor]: Taking taylor expansion of 1.0 in x 0.585 * [backup-simplify]: Simplify 1.0 into 1.0 0.585 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.585 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.585 * [taylor]: Taking taylor expansion of -1 in x 0.585 * [backup-simplify]: Simplify -1 into -1 0.585 * [taylor]: Taking taylor expansion of x in x 0.585 * [backup-simplify]: Simplify 0 into 0 0.585 * [backup-simplify]: Simplify 1 into 1 0.585 * [backup-simplify]: Simplify (/ -1 1) into -1 0.586 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.586 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.586 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.586 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ -1 x)))) into (log (- 1.0 (cos (/ -1 x)))) 0.586 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ -1 x)))) into (log (- 1.0 (cos (/ -1 x)))) 0.586 * [backup-simplify]: Simplify (- 0) into 0 0.586 * [backup-simplify]: Simplify (+ 0 0) into 0 0.587 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 1)))) 1) into 0 0.587 * [backup-simplify]: Simplify 0 into 0 0.587 * [backup-simplify]: Simplify (- 0) into 0 0.587 * [backup-simplify]: Simplify (+ 0 0) into 0 0.588 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 1)))) 2) into 0 0.588 * [backup-simplify]: Simplify 0 into 0 0.589 * [backup-simplify]: Simplify (- 0) into 0 0.589 * [backup-simplify]: Simplify (+ 0 0) into 0 0.591 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- 1.0 (cos (/ -1 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 1)))) 6) into 0 0.591 * [backup-simplify]: Simplify 0 into 0 0.591 * [backup-simplify]: Simplify (- 0) into 0 0.591 * [backup-simplify]: Simplify (+ 0 0) into 0 0.594 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (- 1.0 (cos (/ -1 x))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 1)))) 24) into 0 0.594 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify (- 0) into 0 0.595 * [backup-simplify]: Simplify (+ 0 0) into 0 0.599 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (- 1.0 (cos (/ -1 x))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (- 1.0 (cos (/ -1 x))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 1)))) 120) into 0 0.599 * [backup-simplify]: Simplify 0 into 0 0.600 * [backup-simplify]: Simplify (- 0) into 0 0.600 * [backup-simplify]: Simplify (+ 0 0) into 0 0.607 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (- 1.0 (cos (/ -1 x))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (- 1.0 (cos (/ -1 x))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (- 1.0 (cos (/ -1 x))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 1)))) 720) into 0 0.607 * [backup-simplify]: Simplify 0 into 0 0.607 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ -1 (/ 1 (- x)))))) into (log (- 1.0 (cos x))) 0.607 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.607 * [backup-simplify]: Simplify (exp (log (- 1.0 (cos x)))) into (- 1.0 (cos x)) 0.607 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.607 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.607 * [taylor]: Taking taylor expansion of 1.0 in x 0.607 * [backup-simplify]: Simplify 1.0 into 1.0 0.607 * [taylor]: Taking taylor expansion of (cos x) in x 0.607 * [taylor]: Taking taylor expansion of x in x 0.607 * [backup-simplify]: Simplify 0 into 0 0.607 * [backup-simplify]: Simplify 1 into 1 0.607 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.607 * [taylor]: Taking taylor expansion of 1.0 in x 0.607 * [backup-simplify]: Simplify 1.0 into 1.0 0.607 * [taylor]: Taking taylor expansion of (cos x) in x 0.607 * [taylor]: Taking taylor expansion of x in x 0.607 * [backup-simplify]: Simplify 0 into 0 0.607 * [backup-simplify]: Simplify 1 into 1 0.608 * [backup-simplify]: Simplify (- 1) into -1 0.608 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.608 * [backup-simplify]: Simplify 0 into 0 0.608 * [backup-simplify]: Simplify (+ 0) into 0 0.608 * [backup-simplify]: Simplify (- 0) into 0 0.609 * [backup-simplify]: Simplify (+ 0 0) into 0 0.609 * [backup-simplify]: Simplify 0 into 0 0.609 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.609 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.610 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.610 * [backup-simplify]: Simplify 1/2 into 1/2 0.610 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.611 * [backup-simplify]: Simplify (- 0) into 0 0.611 * [backup-simplify]: Simplify (+ 0 0) into 0 0.611 * [backup-simplify]: Simplify 0 into 0 0.612 * [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 0.612 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.613 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.613 * [backup-simplify]: Simplify -1/24 into -1/24 0.614 * [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 0.614 * [backup-simplify]: Simplify (- 0) into 0 0.614 * [backup-simplify]: Simplify (+ 0 0) into 0 0.614 * [backup-simplify]: Simplify 0 into 0 0.617 * [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 0.617 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.617 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.617 * [backup-simplify]: Simplify 1/720 into 1/720 0.618 * [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))) 0.618 * [backup-simplify]: Simplify (exp (log (- 1.0 (cos (/ 1 x))))) into (- 1.0 (cos (/ 1 x))) 0.618 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.618 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.618 * [taylor]: Taking taylor expansion of 1.0 in x 0.618 * [backup-simplify]: Simplify 1.0 into 1.0 0.618 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.618 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.618 * [taylor]: Taking taylor expansion of x in x 0.618 * [backup-simplify]: Simplify 0 into 0 0.618 * [backup-simplify]: Simplify 1 into 1 0.618 * [backup-simplify]: Simplify (/ 1 1) into 1 0.618 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.618 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.618 * [taylor]: Taking taylor expansion of 1.0 in x 0.618 * [backup-simplify]: Simplify 1.0 into 1.0 0.618 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.618 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.619 * [taylor]: Taking taylor expansion of x in x 0.619 * [backup-simplify]: Simplify 0 into 0 0.619 * [backup-simplify]: Simplify 1 into 1 0.619 * [backup-simplify]: Simplify (/ 1 1) into 1 0.619 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.619 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.619 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.619 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.619 * [backup-simplify]: Simplify (- 0) into 0 0.619 * [backup-simplify]: Simplify (+ 0 0) into 0 0.620 * [backup-simplify]: Simplify 0 into 0 0.620 * [backup-simplify]: Simplify (- 0) into 0 0.620 * [backup-simplify]: Simplify (+ 0 0) into 0 0.620 * [backup-simplify]: Simplify 0 into 0 0.620 * [backup-simplify]: Simplify (- 0) into 0 0.620 * [backup-simplify]: Simplify (+ 0 0) into 0 0.620 * [backup-simplify]: Simplify 0 into 0 0.621 * [backup-simplify]: Simplify (- 0) into 0 0.621 * [backup-simplify]: Simplify (+ 0 0) into 0 0.621 * [backup-simplify]: Simplify 0 into 0 0.621 * [backup-simplify]: Simplify (- 0) into 0 0.621 * [backup-simplify]: Simplify (+ 0 0) into 0 0.621 * [backup-simplify]: Simplify 0 into 0 0.622 * [backup-simplify]: Simplify (- 0) into 0 0.622 * [backup-simplify]: Simplify (+ 0 0) into 0 0.622 * [backup-simplify]: Simplify 0 into 0 0.622 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 0.622 * [backup-simplify]: Simplify (exp (log (- 1.0 (cos (/ 1 (- x)))))) into (- 1.0 (cos (/ -1 x))) 0.622 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.622 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.622 * [taylor]: Taking taylor expansion of 1.0 in x 0.622 * [backup-simplify]: Simplify 1.0 into 1.0 0.622 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.622 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.622 * [taylor]: Taking taylor expansion of -1 in x 0.622 * [backup-simplify]: Simplify -1 into -1 0.622 * [taylor]: Taking taylor expansion of x in x 0.622 * [backup-simplify]: Simplify 0 into 0 0.622 * [backup-simplify]: Simplify 1 into 1 0.622 * [backup-simplify]: Simplify (/ -1 1) into -1 0.622 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.622 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.623 * [taylor]: Taking taylor expansion of 1.0 in x 0.623 * [backup-simplify]: Simplify 1.0 into 1.0 0.623 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.623 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.623 * [taylor]: Taking taylor expansion of -1 in x 0.623 * [backup-simplify]: Simplify -1 into -1 0.623 * [taylor]: Taking taylor expansion of x in x 0.623 * [backup-simplify]: Simplify 0 into 0 0.623 * [backup-simplify]: Simplify 1 into 1 0.623 * [backup-simplify]: Simplify (/ -1 1) into -1 0.623 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.623 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.623 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.623 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 0.623 * [backup-simplify]: Simplify (- 0) into 0 0.624 * [backup-simplify]: Simplify (+ 0 0) into 0 0.624 * [backup-simplify]: Simplify 0 into 0 0.624 * [backup-simplify]: Simplify (- 0) into 0 0.624 * [backup-simplify]: Simplify (+ 0 0) into 0 0.624 * [backup-simplify]: Simplify 0 into 0 0.624 * [backup-simplify]: Simplify (- 0) into 0 0.625 * [backup-simplify]: Simplify (+ 0 0) into 0 0.625 * [backup-simplify]: Simplify 0 into 0 0.625 * [backup-simplify]: Simplify (- 0) into 0 0.625 * [backup-simplify]: Simplify (+ 0 0) into 0 0.625 * [backup-simplify]: Simplify 0 into 0 0.625 * [backup-simplify]: Simplify (- 0) into 0 0.625 * [backup-simplify]: Simplify (+ 0 0) into 0 0.625 * [backup-simplify]: Simplify 0 into 0 0.626 * [backup-simplify]: Simplify (- 0) into 0 0.626 * [backup-simplify]: Simplify (+ 0 0) into 0 0.626 * [backup-simplify]: Simplify 0 into 0 0.626 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 0.626 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.626 * [backup-simplify]: Simplify (/ (exp (log (- 1.0 (cos x)))) (sin x)) into (/ (- 1.0 (cos x)) (sin x)) 0.626 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.626 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.626 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.626 * [taylor]: Taking taylor expansion of 1.0 in x 0.626 * [backup-simplify]: Simplify 1.0 into 1.0 0.626 * [taylor]: Taking taylor expansion of (cos x) in x 0.626 * [taylor]: Taking taylor expansion of x in x 0.626 * [backup-simplify]: Simplify 0 into 0 0.626 * [backup-simplify]: Simplify 1 into 1 0.626 * [taylor]: Taking taylor expansion of (sin x) in x 0.626 * [taylor]: Taking taylor expansion of x in x 0.626 * [backup-simplify]: Simplify 0 into 0 0.626 * [backup-simplify]: Simplify 1 into 1 0.627 * [backup-simplify]: Simplify (- 1) into -1 0.627 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.627 * [backup-simplify]: Simplify (+ 0) into 0 0.627 * [backup-simplify]: Simplify (- 0) into 0 0.628 * [backup-simplify]: Simplify (+ 0 0) into 0 0.628 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.628 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.629 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.629 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 0.629 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.629 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.629 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.629 * [taylor]: Taking taylor expansion of 1.0 in x 0.629 * [backup-simplify]: Simplify 1.0 into 1.0 0.629 * [taylor]: Taking taylor expansion of (cos x) in x 0.629 * [taylor]: Taking taylor expansion of x in x 0.629 * [backup-simplify]: Simplify 0 into 0 0.629 * [backup-simplify]: Simplify 1 into 1 0.629 * [taylor]: Taking taylor expansion of (sin x) in x 0.629 * [taylor]: Taking taylor expansion of x in x 0.629 * [backup-simplify]: Simplify 0 into 0 0.629 * [backup-simplify]: Simplify 1 into 1 0.630 * [backup-simplify]: Simplify (- 1) into -1 0.630 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.630 * [backup-simplify]: Simplify (+ 0) into 0 0.630 * [backup-simplify]: Simplify (- 0) into 0 0.631 * [backup-simplify]: Simplify (+ 0 0) into 0 0.631 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.631 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.632 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.632 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 0.632 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.632 * [backup-simplify]: Simplify 1/2 into 1/2 0.633 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.633 * [backup-simplify]: Simplify (- 0) into 0 0.633 * [backup-simplify]: Simplify (+ 0 0) into 0 0.634 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.634 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.634 * [backup-simplify]: Simplify 0 into 0 0.636 * [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 0.636 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.636 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.637 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 0.638 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/24 0.638 * [backup-simplify]: Simplify 1/24 into 1/24 0.639 * [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 0.639 * [backup-simplify]: Simplify (- 0) into 0 0.639 * [backup-simplify]: Simplify (+ 0 0) into 0 0.640 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.641 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/24 (/ 0 1)))) into 0 0.641 * [backup-simplify]: Simplify 0 into 0 0.643 * [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 0.643 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.644 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.651 * [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 0.652 * [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 0.652 * [backup-simplify]: Simplify 1/240 into 1/240 0.653 * [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))) 0.653 * [backup-simplify]: Simplify (/ (exp (log (- 1.0 (cos (/ 1 x))))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 0.653 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.653 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.653 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.653 * [taylor]: Taking taylor expansion of 1.0 in x 0.653 * [backup-simplify]: Simplify 1.0 into 1.0 0.653 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.653 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.653 * [taylor]: Taking taylor expansion of x in x 0.653 * [backup-simplify]: Simplify 0 into 0 0.653 * [backup-simplify]: Simplify 1 into 1 0.653 * [backup-simplify]: Simplify (/ 1 1) into 1 0.654 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.654 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.654 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.654 * [taylor]: Taking taylor expansion of x in x 0.654 * [backup-simplify]: Simplify 0 into 0 0.654 * [backup-simplify]: Simplify 1 into 1 0.654 * [backup-simplify]: Simplify (/ 1 1) into 1 0.654 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 0.654 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.654 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.654 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 0.654 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.654 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.654 * [taylor]: Taking taylor expansion of 1.0 in x 0.654 * [backup-simplify]: Simplify 1.0 into 1.0 0.654 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.654 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.654 * [taylor]: Taking taylor expansion of x in x 0.654 * [backup-simplify]: Simplify 0 into 0 0.654 * [backup-simplify]: Simplify 1 into 1 0.655 * [backup-simplify]: Simplify (/ 1 1) into 1 0.655 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.655 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.655 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.655 * [taylor]: Taking taylor expansion of x in x 0.655 * [backup-simplify]: Simplify 0 into 0 0.655 * [backup-simplify]: Simplify 1 into 1 0.655 * [backup-simplify]: Simplify (/ 1 1) into 1 0.655 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 0.655 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.655 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.655 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 0.655 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 0.656 * [backup-simplify]: Simplify (- 0) into 0 0.656 * [backup-simplify]: Simplify (+ 0 0) into 0 0.656 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))))) into 0 0.656 * [backup-simplify]: Simplify 0 into 0 0.656 * [backup-simplify]: Simplify (- 0) into 0 0.657 * [backup-simplify]: Simplify (+ 0 0) into 0 0.657 * [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 0.657 * [backup-simplify]: Simplify 0 into 0 0.657 * [backup-simplify]: Simplify (- 0) into 0 0.657 * [backup-simplify]: Simplify (+ 0 0) into 0 0.658 * [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 0.658 * [backup-simplify]: Simplify 0 into 0 0.658 * [backup-simplify]: Simplify (- 0) into 0 0.658 * [backup-simplify]: Simplify (+ 0 0) into 0 0.658 * [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 0.658 * [backup-simplify]: Simplify 0 into 0 0.659 * [backup-simplify]: Simplify (- 0) into 0 0.659 * [backup-simplify]: Simplify (+ 0 0) into 0 0.659 * [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 0.659 * [backup-simplify]: Simplify 0 into 0 0.659 * [backup-simplify]: Simplify (- 0) into 0 0.660 * [backup-simplify]: Simplify (+ 0 0) into 0 0.660 * [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 0.660 * [backup-simplify]: Simplify 0 into 0 0.660 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (/ 1 x)))) (sin (/ 1 (/ 1 x)))) into (/ (- 1.0 (cos x)) (sin x)) 0.660 * [backup-simplify]: Simplify (/ (exp (log (- 1.0 (cos (/ 1 (- x)))))) (sin (/ 1 (- x)))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 0.660 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.661 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.661 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.661 * [taylor]: Taking taylor expansion of 1.0 in x 0.661 * [backup-simplify]: Simplify 1.0 into 1.0 0.661 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.661 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.661 * [taylor]: Taking taylor expansion of -1 in x 0.661 * [backup-simplify]: Simplify -1 into -1 0.661 * [taylor]: Taking taylor expansion of x in x 0.661 * [backup-simplify]: Simplify 0 into 0 0.661 * [backup-simplify]: Simplify 1 into 1 0.661 * [backup-simplify]: Simplify (/ -1 1) into -1 0.661 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.661 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.661 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.661 * [taylor]: Taking taylor expansion of -1 in x 0.661 * [backup-simplify]: Simplify -1 into -1 0.661 * [taylor]: Taking taylor expansion of x in x 0.661 * [backup-simplify]: Simplify 0 into 0 0.661 * [backup-simplify]: Simplify 1 into 1 0.661 * [backup-simplify]: Simplify (/ -1 1) into -1 0.661 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 0.661 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.662 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.662 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 0.662 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.662 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.662 * [taylor]: Taking taylor expansion of 1.0 in x 0.662 * [backup-simplify]: Simplify 1.0 into 1.0 0.662 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.662 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.662 * [taylor]: Taking taylor expansion of -1 in x 0.662 * [backup-simplify]: Simplify -1 into -1 0.662 * [taylor]: Taking taylor expansion of x in x 0.662 * [backup-simplify]: Simplify 0 into 0 0.662 * [backup-simplify]: Simplify 1 into 1 0.662 * [backup-simplify]: Simplify (/ -1 1) into -1 0.662 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.662 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.662 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.662 * [taylor]: Taking taylor expansion of -1 in x 0.662 * [backup-simplify]: Simplify -1 into -1 0.662 * [taylor]: Taking taylor expansion of x in x 0.662 * [backup-simplify]: Simplify 0 into 0 0.662 * [backup-simplify]: Simplify 1 into 1 0.662 * [backup-simplify]: Simplify (/ -1 1) into -1 0.663 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 0.663 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.663 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.663 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 0.663 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 0.663 * [backup-simplify]: Simplify (- 0) into 0 0.663 * [backup-simplify]: Simplify (+ 0 0) into 0 0.664 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))))) into 0 0.664 * [backup-simplify]: Simplify 0 into 0 0.664 * [backup-simplify]: Simplify (- 0) into 0 0.664 * [backup-simplify]: Simplify (+ 0 0) into 0 0.664 * [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 0.664 * [backup-simplify]: Simplify 0 into 0 0.665 * [backup-simplify]: Simplify (- 0) into 0 0.665 * [backup-simplify]: Simplify (+ 0 0) into 0 0.665 * [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 0.665 * [backup-simplify]: Simplify 0 into 0 0.665 * [backup-simplify]: Simplify (- 0) into 0 0.666 * [backup-simplify]: Simplify (+ 0 0) into 0 0.666 * [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 0.666 * [backup-simplify]: Simplify 0 into 0 0.666 * [backup-simplify]: Simplify (- 0) into 0 0.666 * [backup-simplify]: Simplify (+ 0 0) into 0 0.667 * [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 0.667 * [backup-simplify]: Simplify 0 into 0 0.667 * [backup-simplify]: Simplify (- 0) into 0 0.667 * [backup-simplify]: Simplify (+ 0 0) into 0 0.668 * [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 0.668 * [backup-simplify]: Simplify 0 into 0 0.668 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 (/ 1 (- x))))) (sin (/ -1 (/ 1 (- x))))) into (/ (- 1.0 (cos x)) (sin x)) 0.668 * * * [progress]: simplifying candidates 0.670 * [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 (log (- 1.0 (cos x)))) (log1p (log (- 1.0 (cos x)))) (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (log (cbrt (- 1.0 (cos x)))) (log (sqrt (- 1.0 (cos x)))) (log (sqrt (- 1.0 (cos x)))) (log 1) (log (- 1.0 (cos x))) (log (+ (sqrt 1.0) (sqrt (cos x)))) (log (- (sqrt 1.0) (sqrt (cos x)))) (log 1) (log (- 1.0 (cos x))) (log (- (pow 1.0 3) (pow (cos x) 3))) (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (log (- (* 1.0 1.0) (* (cos x) (cos x)))) (log (+ 1.0 (cos x))) (log (- 1.0 (cos x))) (log (log (- 1.0 (cos x)))) (exp (log (- 1.0 (cos x)))) (* (cbrt (log (- 1.0 (cos x)))) (cbrt (log (- 1.0 (cos x))))) (cbrt (log (- 1.0 (cos x)))) (* (* (log (- 1.0 (cos x))) (log (- 1.0 (cos x)))) (log (- 1.0 (cos x)))) (sqrt (log (- 1.0 (cos x)))) (sqrt (log (- 1.0 (cos x)))) (expm1 (exp (log (- 1.0 (cos x))))) (log1p (exp (log (- 1.0 (cos x))))) (exp 1) (exp (* (cbrt (log (- 1.0 (cos x)))) (cbrt (log (- 1.0 (cos x)))))) (exp (sqrt (log (- 1.0 (cos x))))) (exp 1) (exp (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (exp (log (cbrt (- 1.0 (cos x))))) (exp (log (sqrt (- 1.0 (cos x))))) (exp (log (sqrt (- 1.0 (cos x))))) (exp (log 1)) (exp (log (- 1.0 (cos x)))) (exp (log (+ (sqrt 1.0) (sqrt (cos x))))) (exp (log (- (sqrt 1.0) (sqrt (cos x))))) (exp (log 1)) (exp (log (- 1.0 (cos x)))) (exp (log (- (pow 1.0 3) (pow (cos x) 3)))) (exp (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (exp (log (- (* 1.0 1.0) (* (cos x) (cos x))))) (exp (log (+ 1.0 (cos x)))) (log (exp (log (- 1.0 (cos x))))) (exp (exp (log (- 1.0 (cos x))))) (* (cbrt (exp (log (- 1.0 (cos x))))) (cbrt (exp (log (- 1.0 (cos x)))))) (cbrt (exp (log (- 1.0 (cos x))))) (* (* (exp (log (- 1.0 (cos x)))) (exp (log (- 1.0 (cos x))))) (exp (log (- 1.0 (cos x))))) (sqrt (exp (log (- 1.0 (cos x))))) (sqrt (exp (log (- 1.0 (cos x))))) (expm1 (/ (exp (log (- 1.0 (cos x)))) (sin x))) (log1p (/ (exp (log (- 1.0 (cos x)))) (sin x))) (- (log (- 1.0 (cos x))) (log (sin x))) (log (/ (exp (log (- 1.0 (cos x)))) (sin x))) (exp (/ (exp (log (- 1.0 (cos x)))) (sin x))) (/ (* (* (exp (log (- 1.0 (cos x)))) (exp (log (- 1.0 (cos x))))) (exp (log (- 1.0 (cos x))))) (* (* (sin x) (sin x)) (sin x))) (* (cbrt (/ (exp (log (- 1.0 (cos x)))) (sin x))) (cbrt (/ (exp (log (- 1.0 (cos x)))) (sin x)))) (cbrt (/ (exp (log (- 1.0 (cos x)))) (sin x))) (* (* (/ (exp (log (- 1.0 (cos x)))) (sin x)) (/ (exp (log (- 1.0 (cos x)))) (sin x))) (/ (exp (log (- 1.0 (cos x)))) (sin x))) (sqrt (/ (exp (log (- 1.0 (cos x)))) (sin x))) (sqrt (/ (exp (log (- 1.0 (cos x)))) (sin x))) (- (exp (log (- 1.0 (cos x))))) (- (sin x)) (/ (exp (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (exp (log (cbrt (- 1.0 (cos x))))) (cbrt (sin x))) (/ (exp (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (sqrt (sin x))) (/ (exp (log (cbrt (- 1.0 (cos x))))) (sqrt (sin x))) (/ (exp (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) 1) (/ (exp (log (cbrt (- 1.0 (cos x))))) (sin x)) (/ (exp (log (sqrt (- 1.0 (cos x))))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (exp 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(cos x)))) (sqrt (sin x))) (/ (exp (log 1)) 1) (/ (exp (log (- 1.0 (cos x)))) (sin x)) (/ (* (cbrt (exp (log (- 1.0 (cos x))))) (cbrt (exp (log (- 1.0 (cos x)))))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (exp (log (- 1.0 (cos x))))) (cbrt (sin x))) (/ (* (cbrt (exp (log (- 1.0 (cos x))))) (cbrt (exp (log (- 1.0 (cos x)))))) (sqrt (sin x))) (/ (cbrt (exp (log (- 1.0 (cos x))))) (sqrt (sin x))) (/ (* (cbrt (exp (log (- 1.0 (cos x))))) (cbrt (exp (log (- 1.0 (cos x)))))) 1) (/ (cbrt (exp (log (- 1.0 (cos x))))) (sin x)) (/ (sqrt (exp (log (- 1.0 (cos x))))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (exp (log (- 1.0 (cos x))))) (cbrt (sin x))) (/ (sqrt (exp (log (- 1.0 (cos x))))) (sqrt (sin x))) (/ (sqrt (exp (log (- 1.0 (cos x))))) (sqrt (sin x))) (/ (sqrt (exp (log (- 1.0 (cos x))))) 1) (/ (sqrt (exp (log (- 1.0 (cos x))))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (exp (log (- 1.0 (cos x)))) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (exp (log (- 1.0 (cos x)))) (sqrt (sin x))) (/ 1 1) (/ (exp (log (- 1.0 (cos x)))) (sin x)) (/ 1 (sin x)) (/ (sin x) (exp (log (- 1.0 (cos x))))) (/ (exp (log (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (exp (log (- 1.0 (cos x)))) (sqrt (sin x))) (/ (exp (log (- 1.0 (cos x)))) 1) (/ (sin x) (exp (log (cbrt (- 1.0 (cos x)))))) (/ (sin x) (exp (log (sqrt (- 1.0 (cos x)))))) (/ (sin x) (exp (log (- 1.0 (cos x))))) (/ (sin x) (exp (log (- (sqrt 1.0) (sqrt (cos x)))))) (/ (sin x) (exp (log (- 1.0 (cos x))))) (/ (sin x) (cbrt (exp (log (- 1.0 (cos x)))))) (/ (sin x) (sqrt (exp (log (- 1.0 (cos x)))))) (/ (sin x) (exp (log (- 1.0 (cos x))))) (* (sin x) (exp (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))))) (* (sin x) (exp (log (+ 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)) (- (+ (* 2 (log x)) (log 1/2)) (+ (* 1/12 (pow x 2)) (* 1/1440 (pow x 4)))) (log (- 1.0 (cos x))) (log (- 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)) 0.671 * [simplify]: Sending expressions to egg_math: (fma (* (cbrt h1) (cbrt h1)) (cbrt h1) (- (* (cbrt (cos h0)) (* (cbrt (cos h0)) (cbrt (cos h0)))))) (fma (- (cbrt (cos h0))) (* (cbrt (cos h0)) (cbrt (cos h0))) (* (cbrt (cos h0)) (* (cbrt (cos h0)) (cbrt (cos h0))))) (fma (* (cbrt h1) (cbrt h1)) (cbrt h1) (- (* (sqrt (cos h0)) (sqrt (cos h0))))) (fma (- (sqrt (cos h0))) (sqrt (cos h0)) (* (sqrt (cos h0)) (sqrt (cos h0)))) (fma (* (cbrt h1) (cbrt h1)) (cbrt h1) (- (* (cos h0) 1))) (fma (- (cos h0)) 1 (* (cos h0) 1)) (fma (sqrt h1) (sqrt h1) (- (* (cbrt (cos h0)) (* (cbrt (cos h0)) (cbrt (cos h0)))))) (fma (- (cbrt (cos h0))) (* (cbrt (cos h0)) (cbrt (cos h0))) (* (cbrt (cos h0)) (* (cbrt (cos h0)) (cbrt (cos h0))))) (fma (sqrt h1) (sqrt h1) (- (* (sqrt (cos h0)) (sqrt (cos h0))))) (fma (- (sqrt (cos h0))) (sqrt (cos h0)) (* (sqrt (cos h0)) (sqrt (cos h0)))) (fma (sqrt h1) (sqrt h1) (- (* (cos h0) 1))) (fma (- (cos h0)) 1 (* (cos h0) 1)) (fma 1 h1 (- (* (cbrt (cos h0)) (* (cbrt (cos h0)) (cbrt (cos h0)))))) (fma (- (cbrt (cos h0))) (* (cbrt (cos h0)) (cbrt (cos h0))) (* (cbrt (cos h0)) (* (cbrt (cos h0)) (cbrt (cos h0))))) (fma 1 h1 (- (* (sqrt (cos h0)) (sqrt (cos h0))))) (fma (- (sqrt (cos h0))) (sqrt (cos h0)) (* (sqrt (cos h0)) (sqrt (cos h0)))) (fma 1 h1 (- (* (cos h0) 1))) (fma (- (cos h0)) 1 (* (cos h0) 1)) (expm1 (- h1 (cos h0))) (log1p (- h1 (cos h0))) (- (cos h0)) (- (cos h0)) (- (cos h0)) (/ (exp h1) (exp (cos h0))) (log (- h1 (cos h0))) (exp (- h1 (cos h0))) (* (cbrt (- h1 (cos h0))) (cbrt (- h1 (cos h0)))) (cbrt (- h1 (cos h0))) (* (* (- h1 (cos h0)) (- h1 (cos h0))) (- h1 (cos h0))) (sqrt (- h1 (cos h0))) (sqrt (- h1 (cos h0))) (- (pow h1 3) (pow (cos h0) 3)) (+ (* h1 h1) (+ (* (cos h0) (cos h0)) (* h1 (cos h0)))) (- (cos h0)) (- (* h1 h1) (* (cos h0) (cos h0))) (+ h1 (cos h0)) (+ (sqrt h1) 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(log (- h1 (cos h0)))))) (exp (sqrt (log (- h1 (cos h0))))) (exp 1) (exp (log (* (cbrt (- h1 (cos h0))) (cbrt (- h1 (cos h0)))))) (exp (log (cbrt (- h1 (cos h0))))) (exp (log (sqrt (- h1 (cos h0))))) (exp (log (sqrt (- h1 (cos h0))))) (exp (log 1)) (exp (log (- h1 (cos h0)))) (exp (log (+ (sqrt h1) (sqrt (cos h0))))) (exp (log (- (sqrt h1) (sqrt (cos h0))))) (exp (log 1)) (exp (log (- h1 (cos h0)))) (exp (log (- (pow h1 3) (pow (cos h0) 3)))) (exp (log (+ (* h1 h1) (+ (* (cos h0) (cos h0)) (* h1 (cos h0)))))) (exp (log (- (* h1 h1) (* (cos h0) (cos h0))))) (exp (log (+ h1 (cos h0)))) (log (exp (log (- h1 (cos h0))))) (exp (exp (log (- h1 (cos h0))))) (* (cbrt (exp (log (- h1 (cos h0))))) (cbrt (exp (log (- h1 (cos h0)))))) (cbrt (exp (log (- h1 (cos h0))))) (* (* (exp (log (- h1 (cos h0)))) (exp (log (- h1 (cos h0))))) (exp (log (- h1 (cos h0))))) (sqrt (exp (log (- h1 (cos h0))))) (sqrt (exp (log (- h1 (cos h0))))) (expm1 (/ (exp (log (- h1 (cos h0)))) (sin h0))) (log1p (/ (exp (log (- h1 (cos h0)))) (sin h0))) (- (log (- h1 (cos h0))) (log (sin h0))) (log (/ (exp (log (- h1 (cos h0)))) (sin h0))) (exp (/ (exp (log (- h1 (cos h0)))) (sin h0))) (/ (* (* (exp (log (- h1 (cos h0)))) (exp (log (- h1 (cos h0))))) (exp (log (- h1 (cos h0))))) (* (* (sin h0) (sin h0)) (sin h0))) (* (cbrt (/ (exp (log (- h1 (cos h0)))) (sin h0))) (cbrt (/ (exp (log (- h1 (cos h0)))) (sin h0)))) (cbrt (/ (exp (log (- h1 (cos h0)))) (sin h0))) (* (* (/ (exp (log (- h1 (cos h0)))) (sin h0)) (/ (exp (log (- h1 (cos h0)))) (sin h0))) (/ (exp (log (- h1 (cos h0)))) (sin h0))) (sqrt (/ (exp (log (- h1 (cos h0)))) (sin h0))) (sqrt (/ (exp (log (- h1 (cos h0)))) (sin h0))) (- (exp (log (- h1 (cos h0))))) (- (sin h0)) (/ (exp (log (* (cbrt (- h1 (cos h0))) (cbrt (- h1 (cos h0)))))) (* (cbrt (sin h0)) (cbrt (sin h0)))) (/ (exp (log (cbrt (- h1 (cos h0))))) (cbrt (sin h0))) (/ (exp (log (* (cbrt (- h1 (cos h0))) (cbrt (- h1 (cos h0)))))) (sqrt (sin h0))) (/ (exp (log (cbrt (- h1 (cos h0))))) (sqrt (sin h0))) (/ (exp (log (* (cbrt (- h1 (cos h0))) (cbrt (- h1 (cos h0)))))) 1) (/ (exp (log (cbrt (- h1 (cos h0))))) (sin h0)) (/ (exp (log (sqrt (- h1 (cos h0))))) (* (cbrt (sin h0)) (cbrt (sin h0)))) (/ (exp (log (sqrt (- h1 (cos h0))))) (cbrt (sin h0))) (/ (exp (log (sqrt (- h1 (cos h0))))) (sqrt (sin h0))) (/ (exp (log (sqrt (- h1 (cos h0))))) (sqrt (sin h0))) (/ (exp (log (sqrt (- h1 (cos h0))))) 1) (/ (exp (log (sqrt (- h1 (cos h0))))) (sin h0)) (/ (exp (log 1)) (* (cbrt (sin h0)) (cbrt (sin h0)))) (/ (exp (log (- h1 (cos h0)))) (cbrt (sin h0))) (/ (exp (log 1)) (sqrt (sin h0))) (/ (exp (log (- h1 (cos h0)))) (sqrt (sin h0))) (/ (exp (log 1)) 1) (/ (exp (log (- h1 (cos h0)))) (sin h0)) (/ (exp (log (+ (sqrt h1) (sqrt (cos h0))))) (* (cbrt (sin h0)) (cbrt (sin h0)))) (/ (exp (log (- (sqrt h1) (sqrt (cos h0))))) (cbrt (sin h0))) (/ (exp (log (+ (sqrt h1) (sqrt (cos h0))))) (sqrt (sin h0))) (/ (exp (log (- (sqrt h1) (sqrt (cos h0))))) (sqrt (sin h0))) (/ (exp (log (+ (sqrt h1) (sqrt (cos h0))))) 1) (/ (exp (log (- (sqrt h1) (sqrt (cos h0))))) (sin h0)) (/ (exp (log 1)) (* (cbrt (sin h0)) (cbrt (sin h0)))) (/ (exp (log (- h1 (cos h0)))) (cbrt (sin h0))) (/ (exp (log 1)) (sqrt (sin h0))) (/ (exp (log (- h1 (cos h0)))) (sqrt (sin h0))) (/ (exp (log 1)) 1) (/ (exp (log (- h1 (cos h0)))) (sin h0)) (/ (* (cbrt (exp (log (- h1 (cos h0))))) (cbrt (exp (log (- h1 (cos h0)))))) (* (cbrt (sin h0)) (cbrt (sin h0)))) (/ (cbrt (exp (log (- h1 (cos h0))))) (cbrt (sin h0))) (/ (* (cbrt (exp (log (- h1 (cos h0))))) (cbrt (exp (log (- h1 (cos h0)))))) (sqrt (sin h0))) (/ (cbrt (exp (log (- h1 (cos h0))))) (sqrt (sin h0))) (/ (* (cbrt (exp (log (- h1 (cos h0))))) (cbrt (exp (log (- h1 (cos h0)))))) 1) (/ (cbrt (exp (log (- h1 (cos h0))))) (sin h0)) (/ (sqrt (exp (log (- h1 (cos h0))))) (* (cbrt (sin h0)) (cbrt (sin h0)))) (/ (sqrt (exp (log (- h1 (cos h0))))) (cbrt (sin h0))) (/ (sqrt (exp (log (- h1 (cos h0))))) (sqrt (sin h0))) (/ (sqrt (exp (log (- h1 (cos h0))))) (sqrt (sin h0))) (/ (sqrt (exp (log (- h1 (cos h0))))) 1) (/ (sqrt (exp (log (- h1 (cos h0))))) (sin h0)) (/ 1 (* (cbrt (sin h0)) (cbrt (sin h0)))) (/ (exp (log (- h1 (cos h0)))) (cbrt (sin h0))) (/ 1 (sqrt (sin h0))) (/ (exp (log (- h1 (cos h0)))) (sqrt (sin h0))) (/ 1 1) (/ (exp (log (- h1 (cos h0)))) (sin h0)) (/ 1 (sin h0)) (/ (sin h0) (exp (log (- h1 (cos h0))))) (/ (exp (log (- h1 (cos h0)))) (* (cbrt (sin h0)) (cbrt (sin h0)))) (/ (exp (log (- h1 (cos h0)))) (sqrt (sin h0))) (/ (exp (log (- h1 (cos h0)))) 1) (/ (sin h0) (exp (log (cbrt (- h1 (cos h0)))))) (/ (sin h0) (exp (log (sqrt (- h1 (cos h0)))))) (/ (sin h0) (exp (log (- h1 (cos h0))))) (/ (sin h0) (exp (log (- (sqrt h1) (sqrt (cos h0)))))) (/ (sin h0) (exp (log (- h1 (cos h0))))) (/ (sin h0) (cbrt (exp (log (- h1 (cos h0)))))) (/ (sin h0) (sqrt (exp (log (- h1 (cos h0)))))) (/ (sin h0) (exp (log (- h1 (cos h0))))) (* (sin h0) (exp (log (+ (* h1 h1) (+ (* (cos h0) (cos h0)) (* h1 (cos h0))))))) (* (sin h0) (exp (log (+ h1 (cos h0))))) (- (+ (* 1/2 (pow h0 2)) (* 1/720 (pow h0 6))) (* 1/24 (pow h0 4))) (- h1 (cos h0)) (- h1 (cos h0)) (- (+ (* 2 (log h0)) (log 1/2)) (+ (* 1/12 (pow h0 2)) (* 1/1440 (pow h0 4)))) (log (- h1 (cos h0))) (log (- h1 (cos h0))) (- (+ (* 1/2 (pow h0 2)) (* 1/720 (pow h0 6))) (* 1/24 (pow h0 4))) (- h1 (cos h0)) (- h1 (cos h0)) (+ (* 1/24 (pow h0 3)) (+ (* 1/240 (pow h0 5)) (* 1/2 h0))) (/ (- h1 (cos h0)) (sin h0)) (/ (- h1 (cos h0)) (sin h0)) 0.676 * * [simplify]: iteration 0 : 354 enodes (cost 1019 ) 0.682 * * [simplify]: iteration 1 : 1045 enodes (cost 861 ) 0.702 * * [simplify]: iteration 2 : 5001 enodes (cost 817 ) 0.706 * * * [progress]: adding candidates to table 0.963 * * [progress]: iteration 3 / 4 0.963 * * * [progress]: picking best candidate 0.989 * * * * [pick]: Picked # 0.989 * * * [progress]: localizing error 1.000 * * * [progress]: generating rewritten candidates 1.000 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 1.007 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.034 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.055 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.081 * * * [progress]: generating series expansions 1.081 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 1.081 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 1.081 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.081 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.081 * [taylor]: Taking taylor expansion of 1.0 in x 1.081 * [backup-simplify]: Simplify 1.0 into 1.0 1.081 * [taylor]: Taking taylor expansion of (cos x) in x 1.081 * [taylor]: Taking taylor expansion of x in x 1.081 * [backup-simplify]: Simplify 0 into 0 1.081 * [backup-simplify]: Simplify 1 into 1 1.081 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.081 * [taylor]: Taking taylor expansion of 1.0 in x 1.081 * [backup-simplify]: Simplify 1.0 into 1.0 1.081 * [taylor]: Taking taylor expansion of (cos x) in x 1.081 * [taylor]: Taking taylor expansion of x in x 1.081 * [backup-simplify]: Simplify 0 into 0 1.081 * [backup-simplify]: Simplify 1 into 1 1.082 * [backup-simplify]: Simplify (- 1) into -1 1.082 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.082 * [backup-simplify]: Simplify 0 into 0 1.082 * [backup-simplify]: Simplify (+ 0) into 0 1.083 * [backup-simplify]: Simplify (- 0) into 0 1.083 * [backup-simplify]: Simplify (+ 0 0) into 0 1.083 * [backup-simplify]: Simplify 0 into 0 1.084 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.084 * [backup-simplify]: Simplify (- -1/2) into 1/2 1.084 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.084 * [backup-simplify]: Simplify 1/2 into 1/2 1.085 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.085 * [backup-simplify]: Simplify (- 0) into 0 1.085 * [backup-simplify]: Simplify (+ 0 0) into 0 1.085 * [backup-simplify]: Simplify 0 into 0 1.087 * [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 1.087 * [backup-simplify]: Simplify (- 1/24) into -1/24 1.087 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 1.087 * [backup-simplify]: Simplify -1/24 into -1/24 1.089 * [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 1.089 * [backup-simplify]: Simplify (- 0) into 0 1.089 * [backup-simplify]: Simplify (+ 0 0) into 0 1.089 * [backup-simplify]: Simplify 0 into 0 1.091 * [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 1.092 * [backup-simplify]: Simplify (- -1/720) into 1/720 1.092 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 1.092 * [backup-simplify]: Simplify 1/720 into 1/720 1.092 * [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))) 1.092 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 1.092 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.092 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.092 * [taylor]: Taking taylor expansion of 1.0 in x 1.093 * [backup-simplify]: Simplify 1.0 into 1.0 1.093 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.093 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.093 * [taylor]: Taking taylor expansion of x in x 1.093 * [backup-simplify]: Simplify 0 into 0 1.093 * [backup-simplify]: Simplify 1 into 1 1.093 * [backup-simplify]: Simplify (/ 1 1) into 1 1.093 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.093 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.093 * [taylor]: Taking taylor expansion of 1.0 in x 1.093 * [backup-simplify]: Simplify 1.0 into 1.0 1.093 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.093 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.093 * [taylor]: Taking taylor expansion of x in x 1.093 * [backup-simplify]: Simplify 0 into 0 1.093 * [backup-simplify]: Simplify 1 into 1 1.093 * [backup-simplify]: Simplify (/ 1 1) into 1 1.093 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.094 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 1.094 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 1.094 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 1.094 * [backup-simplify]: Simplify (- 0) into 0 1.094 * [backup-simplify]: Simplify (+ 0 0) into 0 1.094 * [backup-simplify]: Simplify 0 into 0 1.094 * [backup-simplify]: Simplify (- 0) into 0 1.095 * [backup-simplify]: Simplify (+ 0 0) into 0 1.095 * [backup-simplify]: Simplify 0 into 0 1.095 * [backup-simplify]: Simplify (- 0) into 0 1.095 * [backup-simplify]: Simplify (+ 0 0) into 0 1.095 * [backup-simplify]: Simplify 0 into 0 1.095 * [backup-simplify]: Simplify (- 0) into 0 1.096 * [backup-simplify]: Simplify (+ 0 0) into 0 1.096 * [backup-simplify]: Simplify 0 into 0 1.096 * [backup-simplify]: Simplify (- 0) into 0 1.096 * [backup-simplify]: Simplify (+ 0 0) into 0 1.096 * [backup-simplify]: Simplify 0 into 0 1.096 * [backup-simplify]: Simplify (- 0) into 0 1.096 * [backup-simplify]: Simplify (+ 0 0) into 0 1.096 * [backup-simplify]: Simplify 0 into 0 1.097 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 1.097 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 1.097 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.097 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.097 * [taylor]: Taking taylor expansion of 1.0 in x 1.097 * [backup-simplify]: Simplify 1.0 into 1.0 1.097 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.097 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.097 * [taylor]: Taking taylor expansion of -1 in x 1.097 * [backup-simplify]: Simplify -1 into -1 1.097 * [taylor]: Taking taylor expansion of x in x 1.097 * [backup-simplify]: Simplify 0 into 0 1.097 * [backup-simplify]: Simplify 1 into 1 1.097 * [backup-simplify]: Simplify (/ -1 1) into -1 1.097 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.097 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.097 * [taylor]: Taking taylor expansion of 1.0 in x 1.097 * [backup-simplify]: Simplify 1.0 into 1.0 1.097 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.097 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.097 * [taylor]: Taking taylor expansion of -1 in x 1.097 * [backup-simplify]: Simplify -1 into -1 1.097 * [taylor]: Taking taylor expansion of x in x 1.097 * [backup-simplify]: Simplify 0 into 0 1.097 * [backup-simplify]: Simplify 1 into 1 1.098 * [backup-simplify]: Simplify (/ -1 1) into -1 1.098 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.098 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 1.098 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 1.098 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 1.098 * [backup-simplify]: Simplify (- 0) into 0 1.098 * [backup-simplify]: Simplify (+ 0 0) into 0 1.098 * [backup-simplify]: Simplify 0 into 0 1.098 * [backup-simplify]: Simplify (- 0) into 0 1.099 * [backup-simplify]: Simplify (+ 0 0) into 0 1.099 * [backup-simplify]: Simplify 0 into 0 1.099 * [backup-simplify]: Simplify (- 0) into 0 1.099 * [backup-simplify]: Simplify (+ 0 0) into 0 1.099 * [backup-simplify]: Simplify 0 into 0 1.099 * [backup-simplify]: Simplify (- 0) into 0 1.100 * [backup-simplify]: Simplify (+ 0 0) into 0 1.100 * [backup-simplify]: Simplify 0 into 0 1.100 * [backup-simplify]: Simplify (- 0) into 0 1.100 * [backup-simplify]: Simplify (+ 0 0) into 0 1.100 * [backup-simplify]: Simplify 0 into 0 1.100 * [backup-simplify]: Simplify (- 0) into 0 1.100 * [backup-simplify]: Simplify (+ 0 0) into 0 1.101 * [backup-simplify]: Simplify 0 into 0 1.101 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 1.101 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.101 * [backup-simplify]: Simplify (log (exp (/ (- 1.0 (cos x)) (sin x)))) into (/ (- 1.0 (cos x)) (sin x)) 1.101 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 1.101 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.101 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.101 * [taylor]: Taking taylor expansion of 1.0 in x 1.101 * [backup-simplify]: Simplify 1.0 into 1.0 1.101 * [taylor]: Taking taylor expansion of (cos x) in x 1.101 * [taylor]: Taking taylor expansion of x in x 1.101 * [backup-simplify]: Simplify 0 into 0 1.101 * [backup-simplify]: Simplify 1 into 1 1.101 * [taylor]: Taking taylor expansion of (sin x) in x 1.101 * [taylor]: Taking taylor expansion of x in x 1.101 * [backup-simplify]: Simplify 0 into 0 1.101 * [backup-simplify]: Simplify 1 into 1 1.101 * [backup-simplify]: Simplify (- 1) into -1 1.102 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.102 * [backup-simplify]: Simplify (+ 0) into 0 1.102 * [backup-simplify]: Simplify (- 0) into 0 1.102 * [backup-simplify]: Simplify (+ 0 0) into 0 1.103 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.103 * [backup-simplify]: Simplify (- -1/2) into 1/2 1.103 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.104 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.104 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.104 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.104 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.104 * [taylor]: Taking taylor expansion of 1.0 in x 1.104 * [backup-simplify]: Simplify 1.0 into 1.0 1.104 * [taylor]: Taking taylor expansion of (cos x) in x 1.104 * [taylor]: Taking taylor expansion of x in x 1.104 * [backup-simplify]: Simplify 0 into 0 1.104 * [backup-simplify]: Simplify 1 into 1 1.104 * [taylor]: Taking taylor expansion of (sin x) in x 1.104 * [taylor]: Taking taylor expansion of x in x 1.104 * [backup-simplify]: Simplify 0 into 0 1.104 * [backup-simplify]: Simplify 1 into 1 1.104 * [backup-simplify]: Simplify (- 1) into -1 1.105 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.105 * [backup-simplify]: Simplify (+ 0) into 0 1.105 * [backup-simplify]: Simplify (- 0) into 0 1.105 * [backup-simplify]: Simplify (+ 0 0) into 0 1.106 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.106 * [backup-simplify]: Simplify (- -1/2) into 1/2 1.106 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.107 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.107 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.107 * [backup-simplify]: Simplify 1/2 into 1/2 1.108 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.108 * [backup-simplify]: Simplify (- 0) into 0 1.108 * [backup-simplify]: Simplify (+ 0 0) into 0 1.108 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.109 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.109 * [backup-simplify]: Simplify 0 into 0 1.110 * [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 1.111 * [backup-simplify]: Simplify (- 1/24) into -1/24 1.111 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 1.112 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 1.112 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/24 1.112 * [backup-simplify]: Simplify 1/24 into 1/24 1.114 * [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 1.114 * [backup-simplify]: Simplify (- 0) into 0 1.114 * [backup-simplify]: Simplify (+ 0 0) into 0 1.115 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/24 (/ 0 1)))) into 0 1.116 * [backup-simplify]: Simplify 0 into 0 1.118 * [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 1.118 * [backup-simplify]: Simplify (- -1/720) into 1/720 1.118 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 1.120 * [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 1.121 * [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 1.121 * [backup-simplify]: Simplify 1/240 into 1/240 1.122 * [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))) 1.122 * [backup-simplify]: Simplify (log (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 1.122 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 1.122 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.122 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.122 * [taylor]: Taking taylor expansion of 1.0 in x 1.122 * [backup-simplify]: Simplify 1.0 into 1.0 1.122 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.122 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.122 * [taylor]: Taking taylor expansion of x in x 1.122 * [backup-simplify]: Simplify 0 into 0 1.122 * [backup-simplify]: Simplify 1 into 1 1.122 * [backup-simplify]: Simplify (/ 1 1) into 1 1.122 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.122 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.122 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.122 * [taylor]: Taking taylor expansion of x in x 1.122 * [backup-simplify]: Simplify 0 into 0 1.122 * [backup-simplify]: Simplify 1 into 1 1.123 * [backup-simplify]: Simplify (/ 1 1) into 1 1.123 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 1.123 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 1.123 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 1.123 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 1.123 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.123 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.123 * [taylor]: Taking taylor expansion of 1.0 in x 1.123 * [backup-simplify]: Simplify 1.0 into 1.0 1.123 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.123 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.123 * [taylor]: Taking taylor expansion of x in x 1.123 * [backup-simplify]: Simplify 0 into 0 1.123 * [backup-simplify]: Simplify 1 into 1 1.123 * [backup-simplify]: Simplify (/ 1 1) into 1 1.123 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.123 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.123 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.123 * [taylor]: Taking taylor expansion of x in x 1.123 * [backup-simplify]: Simplify 0 into 0 1.123 * [backup-simplify]: Simplify 1 into 1 1.124 * [backup-simplify]: Simplify (/ 1 1) into 1 1.124 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 1.124 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 1.124 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 1.124 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 1.124 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 1.124 * [backup-simplify]: Simplify (- 0) into 0 1.124 * [backup-simplify]: Simplify (+ 0 0) into 0 1.125 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))))) into 0 1.125 * [backup-simplify]: Simplify 0 into 0 1.125 * [backup-simplify]: Simplify (- 0) into 0 1.125 * [backup-simplify]: Simplify (+ 0 0) into 0 1.125 * [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 1.125 * [backup-simplify]: Simplify 0 into 0 1.126 * [backup-simplify]: Simplify (- 0) into 0 1.126 * [backup-simplify]: Simplify (+ 0 0) into 0 1.126 * [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 1.126 * [backup-simplify]: Simplify 0 into 0 1.126 * [backup-simplify]: Simplify (- 0) into 0 1.127 * [backup-simplify]: Simplify (+ 0 0) into 0 1.127 * [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 1.127 * [backup-simplify]: Simplify 0 into 0 1.127 * [backup-simplify]: Simplify (- 0) into 0 1.127 * [backup-simplify]: Simplify (+ 0 0) into 0 1.128 * [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 1.128 * [backup-simplify]: Simplify 0 into 0 1.128 * [backup-simplify]: Simplify (- 0) into 0 1.128 * [backup-simplify]: Simplify (+ 0 0) into 0 1.129 * [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 1.129 * [backup-simplify]: Simplify 0 into 0 1.129 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (/ 1 x)))) (sin (/ 1 (/ 1 x)))) into (/ (- 1.0 (cos x)) (sin x)) 1.129 * [backup-simplify]: Simplify (log (exp (/ (- 1.0 (cos (/ 1 (- x)))) (sin (/ 1 (- x)))))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 1.129 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 1.129 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.129 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.129 * [taylor]: Taking taylor expansion of 1.0 in x 1.129 * [backup-simplify]: Simplify 1.0 into 1.0 1.129 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.129 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.129 * [taylor]: Taking taylor expansion of -1 in x 1.129 * [backup-simplify]: Simplify -1 into -1 1.129 * [taylor]: Taking taylor expansion of x in x 1.129 * [backup-simplify]: Simplify 0 into 0 1.129 * [backup-simplify]: Simplify 1 into 1 1.130 * [backup-simplify]: Simplify (/ -1 1) into -1 1.130 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.130 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.130 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.130 * [taylor]: Taking taylor expansion of -1 in x 1.130 * [backup-simplify]: Simplify -1 into -1 1.130 * [taylor]: Taking taylor expansion of x in x 1.130 * [backup-simplify]: Simplify 0 into 0 1.130 * [backup-simplify]: Simplify 1 into 1 1.130 * [backup-simplify]: Simplify (/ -1 1) into -1 1.130 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 1.130 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 1.130 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 1.130 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 1.130 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.130 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.130 * [taylor]: Taking taylor expansion of 1.0 in x 1.130 * [backup-simplify]: Simplify 1.0 into 1.0 1.130 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.130 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.130 * [taylor]: Taking taylor expansion of -1 in x 1.130 * [backup-simplify]: Simplify -1 into -1 1.130 * [taylor]: Taking taylor expansion of x in x 1.130 * [backup-simplify]: Simplify 0 into 0 1.130 * [backup-simplify]: Simplify 1 into 1 1.131 * [backup-simplify]: Simplify (/ -1 1) into -1 1.131 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.131 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.131 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.131 * [taylor]: Taking taylor expansion of -1 in x 1.131 * [backup-simplify]: Simplify -1 into -1 1.131 * [taylor]: Taking taylor expansion of x in x 1.131 * [backup-simplify]: Simplify 0 into 0 1.131 * [backup-simplify]: Simplify 1 into 1 1.131 * [backup-simplify]: Simplify (/ -1 1) into -1 1.131 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 1.131 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 1.131 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 1.131 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 1.132 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 1.132 * [backup-simplify]: Simplify (- 0) into 0 1.132 * [backup-simplify]: Simplify (+ 0 0) into 0 1.132 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))))) into 0 1.132 * [backup-simplify]: Simplify 0 into 0 1.132 * [backup-simplify]: Simplify (- 0) into 0 1.133 * [backup-simplify]: Simplify (+ 0 0) into 0 1.133 * [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 1.133 * [backup-simplify]: Simplify 0 into 0 1.133 * [backup-simplify]: Simplify (- 0) into 0 1.133 * [backup-simplify]: Simplify (+ 0 0) into 0 1.134 * [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 1.134 * [backup-simplify]: Simplify 0 into 0 1.134 * [backup-simplify]: Simplify (- 0) into 0 1.134 * [backup-simplify]: Simplify (+ 0 0) into 0 1.134 * [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 1.135 * [backup-simplify]: Simplify 0 into 0 1.135 * [backup-simplify]: Simplify (- 0) into 0 1.135 * [backup-simplify]: Simplify (+ 0 0) into 0 1.136 * [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 1.136 * [backup-simplify]: Simplify 0 into 0 1.136 * [backup-simplify]: Simplify (- 0) into 0 1.136 * [backup-simplify]: Simplify (+ 0 0) into 0 1.136 * [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 1.136 * [backup-simplify]: Simplify 0 into 0 1.137 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 (/ 1 (- x))))) (sin (/ -1 (/ 1 (- x))))) into (/ (- 1.0 (cos x)) (sin x)) 1.137 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.137 * [backup-simplify]: Simplify (exp (/ (- 1.0 (cos x)) (sin x))) into (exp (/ (- 1.0 (cos x)) (sin x))) 1.137 * [approximate]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in (x) around 0 1.137 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in x 1.137 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.137 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.137 * [taylor]: Taking taylor expansion of 1.0 in x 1.137 * [backup-simplify]: Simplify 1.0 into 1.0 1.137 * [taylor]: Taking taylor expansion of (cos x) in x 1.137 * [taylor]: Taking taylor expansion of x in x 1.137 * [backup-simplify]: Simplify 0 into 0 1.137 * [backup-simplify]: Simplify 1 into 1 1.137 * [taylor]: Taking taylor expansion of (sin x) in x 1.137 * [taylor]: Taking taylor expansion of x in x 1.137 * [backup-simplify]: Simplify 0 into 0 1.137 * [backup-simplify]: Simplify 1 into 1 1.137 * [backup-simplify]: Simplify (- 1) into -1 1.137 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.138 * [backup-simplify]: Simplify (+ 0) into 0 1.138 * [backup-simplify]: Simplify (- 0) into 0 1.138 * [backup-simplify]: Simplify (+ 0 0) into 0 1.139 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.139 * [backup-simplify]: Simplify (- -1/2) into 1/2 1.139 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.140 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.140 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.140 * [backup-simplify]: Simplify (exp 0) into 1 1.140 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in x 1.140 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.140 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.140 * [taylor]: Taking taylor expansion of 1.0 in x 1.140 * [backup-simplify]: Simplify 1.0 into 1.0 1.140 * [taylor]: Taking taylor expansion of (cos x) in x 1.140 * [taylor]: Taking taylor expansion of x in x 1.140 * [backup-simplify]: Simplify 0 into 0 1.140 * [backup-simplify]: Simplify 1 into 1 1.140 * [taylor]: Taking taylor expansion of (sin x) in x 1.140 * [taylor]: Taking taylor expansion of x in x 1.140 * [backup-simplify]: Simplify 0 into 0 1.140 * [backup-simplify]: Simplify 1 into 1 1.140 * [backup-simplify]: Simplify (- 1) into -1 1.141 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.141 * [backup-simplify]: Simplify (+ 0) into 0 1.141 * [backup-simplify]: Simplify (- 0) into 0 1.141 * [backup-simplify]: Simplify (+ 0 0) into 0 1.142 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.142 * [backup-simplify]: Simplify (- -1/2) into 1/2 1.142 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.143 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.143 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.143 * [backup-simplify]: Simplify (exp 0) into 1 1.143 * [backup-simplify]: Simplify 1 into 1 1.144 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/2 1) 1)))) into 1/2 1.144 * [backup-simplify]: Simplify 1/2 into 1/2 1.144 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.144 * [backup-simplify]: Simplify (- 0) into 0 1.145 * [backup-simplify]: Simplify (+ 0 0) into 0 1.145 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.146 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/2 2) 2)) (* (/ (pow 0 1) 1)))) into 1/8 1.147 * [backup-simplify]: Simplify 1/8 into 1/8 1.147 * [backup-simplify]: Simplify (+ (* 1/8 (pow x 2)) (+ (* 1/2 x) 1)) into (+ (* 1/8 (pow x 2)) (+ (* 1/2 x) 1)) 1.147 * [backup-simplify]: Simplify (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) into (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) 1.147 * [approximate]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in (x) around 0 1.147 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in x 1.147 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.147 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.147 * [taylor]: Taking taylor expansion of 1.0 in x 1.147 * [backup-simplify]: Simplify 1.0 into 1.0 1.147 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.147 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.147 * [taylor]: Taking taylor expansion of x in x 1.147 * [backup-simplify]: Simplify 0 into 0 1.147 * [backup-simplify]: Simplify 1 into 1 1.147 * [backup-simplify]: Simplify (/ 1 1) into 1 1.147 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.147 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.147 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.147 * [taylor]: Taking taylor expansion of x in x 1.147 * [backup-simplify]: Simplify 0 into 0 1.147 * [backup-simplify]: Simplify 1 into 1 1.148 * [backup-simplify]: Simplify (/ 1 1) into 1 1.148 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 1.148 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 1.148 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 1.148 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 1.148 * [backup-simplify]: Simplify (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) into (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) 1.148 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in x 1.148 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.148 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.148 * [taylor]: Taking taylor expansion of 1.0 in x 1.148 * [backup-simplify]: Simplify 1.0 into 1.0 1.148 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.148 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.148 * [taylor]: Taking taylor expansion of x in x 1.148 * [backup-simplify]: Simplify 0 into 0 1.148 * [backup-simplify]: Simplify 1 into 1 1.149 * [backup-simplify]: Simplify (/ 1 1) into 1 1.149 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.149 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.149 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.149 * [taylor]: Taking taylor expansion of x in x 1.149 * [backup-simplify]: Simplify 0 into 0 1.149 * [backup-simplify]: Simplify 1 into 1 1.149 * [backup-simplify]: Simplify (/ 1 1) into 1 1.149 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 1.149 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 1.149 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 1.149 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 1.150 * [backup-simplify]: Simplify (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) into (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) 1.150 * [backup-simplify]: Simplify (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) into (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) 1.150 * [backup-simplify]: Simplify (- 0) into 0 1.150 * [backup-simplify]: Simplify (+ 0 0) into 0 1.150 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))))) into 0 1.151 * [backup-simplify]: Simplify (* (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) (+ (* (/ (pow 0 1) 1)))) into 0 1.151 * [backup-simplify]: Simplify 0 into 0 1.151 * [backup-simplify]: Simplify (- 0) into 0 1.152 * [backup-simplify]: Simplify (+ 0 0) into 0 1.152 * [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 1.153 * [backup-simplify]: Simplify (* (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.153 * [backup-simplify]: Simplify 0 into 0 1.153 * [backup-simplify]: Simplify (- 0) into 0 1.153 * [backup-simplify]: Simplify (+ 0 0) into 0 1.154 * [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 1.155 * [backup-simplify]: Simplify (* (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.155 * [backup-simplify]: Simplify 0 into 0 1.155 * [backup-simplify]: Simplify (- 0) into 0 1.155 * [backup-simplify]: Simplify (+ 0 0) into 0 1.155 * [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 1.157 * [backup-simplify]: Simplify (* (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.157 * [backup-simplify]: Simplify 0 into 0 1.157 * [backup-simplify]: Simplify (- 0) into 0 1.157 * [backup-simplify]: Simplify (+ 0 0) into 0 1.158 * [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 1.160 * [backup-simplify]: Simplify (* (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.160 * [backup-simplify]: Simplify 0 into 0 1.160 * [backup-simplify]: Simplify (- 0) into 0 1.160 * [backup-simplify]: Simplify (+ 0 0) into 0 1.161 * [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 1.163 * [backup-simplify]: Simplify (* (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.169 * [backup-simplify]: Simplify 0 into 0 1.169 * [backup-simplify]: Simplify (exp (/ (- 1.0 (cos (/ 1 (/ 1 x)))) (sin (/ 1 (/ 1 x))))) into (exp (/ (- 1.0 (cos x)) (sin x))) 1.169 * [backup-simplify]: Simplify (exp (/ (- 1.0 (cos (/ 1 (- x)))) (sin (/ 1 (- x))))) into (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) 1.169 * [approximate]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in (x) around 0 1.169 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in x 1.169 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.169 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.169 * [taylor]: Taking taylor expansion of 1.0 in x 1.169 * [backup-simplify]: Simplify 1.0 into 1.0 1.169 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.169 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.169 * [taylor]: Taking taylor expansion of -1 in x 1.169 * [backup-simplify]: Simplify -1 into -1 1.169 * [taylor]: Taking taylor expansion of x in x 1.169 * [backup-simplify]: Simplify 0 into 0 1.169 * [backup-simplify]: Simplify 1 into 1 1.170 * [backup-simplify]: Simplify (/ -1 1) into -1 1.170 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.170 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.170 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.170 * [taylor]: Taking taylor expansion of -1 in x 1.170 * [backup-simplify]: Simplify -1 into -1 1.170 * [taylor]: Taking taylor expansion of x in x 1.170 * [backup-simplify]: Simplify 0 into 0 1.170 * [backup-simplify]: Simplify 1 into 1 1.170 * [backup-simplify]: Simplify (/ -1 1) into -1 1.170 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 1.170 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 1.170 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 1.170 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 1.171 * [backup-simplify]: Simplify (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) into (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) 1.171 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in x 1.171 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.171 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.171 * [taylor]: Taking taylor expansion of 1.0 in x 1.171 * [backup-simplify]: Simplify 1.0 into 1.0 1.171 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.171 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.171 * [taylor]: Taking taylor expansion of -1 in x 1.171 * [backup-simplify]: Simplify -1 into -1 1.171 * [taylor]: Taking taylor expansion of x in x 1.171 * [backup-simplify]: Simplify 0 into 0 1.171 * [backup-simplify]: Simplify 1 into 1 1.171 * [backup-simplify]: Simplify (/ -1 1) into -1 1.171 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.171 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.171 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.171 * [taylor]: Taking taylor expansion of -1 in x 1.171 * [backup-simplify]: Simplify -1 into -1 1.171 * [taylor]: Taking taylor expansion of x in x 1.171 * [backup-simplify]: Simplify 0 into 0 1.171 * [backup-simplify]: Simplify 1 into 1 1.172 * [backup-simplify]: Simplify (/ -1 1) into -1 1.172 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 1.172 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 1.172 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 1.172 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 1.172 * [backup-simplify]: Simplify (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) into (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) 1.172 * [backup-simplify]: Simplify (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) into (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) 1.172 * [backup-simplify]: Simplify (- 0) into 0 1.173 * [backup-simplify]: Simplify (+ 0 0) into 0 1.173 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))))) into 0 1.173 * [backup-simplify]: Simplify (* (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) (+ (* (/ (pow 0 1) 1)))) into 0 1.173 * [backup-simplify]: Simplify 0 into 0 1.174 * [backup-simplify]: Simplify (- 0) into 0 1.174 * [backup-simplify]: Simplify (+ 0 0) into 0 1.174 * [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 1.175 * [backup-simplify]: Simplify (* (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.175 * [backup-simplify]: Simplify 0 into 0 1.175 * [backup-simplify]: Simplify (- 0) into 0 1.175 * [backup-simplify]: Simplify (+ 0 0) into 0 1.176 * [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 1.177 * [backup-simplify]: Simplify (* (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.177 * [backup-simplify]: Simplify 0 into 0 1.177 * [backup-simplify]: Simplify (- 0) into 0 1.177 * [backup-simplify]: Simplify (+ 0 0) into 0 1.178 * [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 1.179 * [backup-simplify]: Simplify (* (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.179 * [backup-simplify]: Simplify 0 into 0 1.179 * [backup-simplify]: Simplify (- 0) into 0 1.179 * [backup-simplify]: Simplify (+ 0 0) into 0 1.180 * [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 1.182 * [backup-simplify]: Simplify (* (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.182 * [backup-simplify]: Simplify 0 into 0 1.182 * [backup-simplify]: Simplify (- 0) into 0 1.182 * [backup-simplify]: Simplify (+ 0 0) into 0 1.183 * [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 1.186 * [backup-simplify]: Simplify (* (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.186 * [backup-simplify]: Simplify 0 into 0 1.186 * [backup-simplify]: Simplify (exp (/ (- 1.0 (cos (/ -1 (/ 1 (- x))))) (sin (/ -1 (/ 1 (- x)))))) into (exp (/ (- 1.0 (cos x)) (sin x))) 1.186 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.186 * [backup-simplify]: Simplify (/ (- 1.0 (cos x)) (sin x)) into (/ (- 1.0 (cos x)) (sin x)) 1.186 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 1.186 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.186 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.186 * [taylor]: Taking taylor expansion of 1.0 in x 1.186 * [backup-simplify]: Simplify 1.0 into 1.0 1.186 * [taylor]: Taking taylor expansion of (cos x) in x 1.186 * [taylor]: Taking taylor expansion of x in x 1.186 * [backup-simplify]: Simplify 0 into 0 1.186 * [backup-simplify]: Simplify 1 into 1 1.186 * [taylor]: Taking taylor expansion of (sin x) in x 1.186 * [taylor]: Taking taylor expansion of x in x 1.186 * [backup-simplify]: Simplify 0 into 0 1.186 * [backup-simplify]: Simplify 1 into 1 1.187 * [backup-simplify]: Simplify (- 1) into -1 1.187 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.187 * [backup-simplify]: Simplify (+ 0) into 0 1.187 * [backup-simplify]: Simplify (- 0) into 0 1.188 * [backup-simplify]: Simplify (+ 0 0) into 0 1.188 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.188 * [backup-simplify]: Simplify (- -1/2) into 1/2 1.189 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.189 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.189 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.189 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.189 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.189 * [taylor]: Taking taylor expansion of 1.0 in x 1.189 * [backup-simplify]: Simplify 1.0 into 1.0 1.189 * [taylor]: Taking taylor expansion of (cos x) in x 1.189 * [taylor]: Taking taylor expansion of x in x 1.189 * [backup-simplify]: Simplify 0 into 0 1.189 * [backup-simplify]: Simplify 1 into 1 1.189 * [taylor]: Taking taylor expansion of (sin x) in x 1.189 * [taylor]: Taking taylor expansion of x in x 1.189 * [backup-simplify]: Simplify 0 into 0 1.189 * [backup-simplify]: Simplify 1 into 1 1.190 * [backup-simplify]: Simplify (- 1) into -1 1.190 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.190 * [backup-simplify]: Simplify (+ 0) into 0 1.190 * [backup-simplify]: Simplify (- 0) into 0 1.190 * [backup-simplify]: Simplify (+ 0 0) into 0 1.191 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.191 * [backup-simplify]: Simplify (- -1/2) into 1/2 1.191 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.192 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.192 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.192 * [backup-simplify]: Simplify 1/2 into 1/2 1.193 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.193 * [backup-simplify]: Simplify (- 0) into 0 1.193 * [backup-simplify]: Simplify (+ 0 0) into 0 1.194 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.194 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.194 * [backup-simplify]: Simplify 0 into 0 1.195 * [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 1.196 * [backup-simplify]: Simplify (- 1/24) into -1/24 1.196 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 1.197 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 1.197 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/24 1.197 * [backup-simplify]: Simplify 1/24 into 1/24 1.199 * [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 1.199 * [backup-simplify]: Simplify (- 0) into 0 1.199 * [backup-simplify]: Simplify (+ 0 0) into 0 1.200 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.201 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/24 (/ 0 1)))) into 0 1.201 * [backup-simplify]: Simplify 0 into 0 1.203 * [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 1.203 * [backup-simplify]: Simplify (- -1/720) into 1/720 1.203 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 1.205 * [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 1.206 * [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 1.206 * [backup-simplify]: Simplify 1/240 into 1/240 1.207 * [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))) 1.207 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 1.207 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 1.207 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.207 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.207 * [taylor]: Taking taylor expansion of 1.0 in x 1.207 * [backup-simplify]: Simplify 1.0 into 1.0 1.207 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.207 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.207 * [taylor]: Taking taylor expansion of x in x 1.207 * [backup-simplify]: Simplify 0 into 0 1.207 * [backup-simplify]: Simplify 1 into 1 1.207 * [backup-simplify]: Simplify (/ 1 1) into 1 1.207 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.207 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.207 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.207 * [taylor]: Taking taylor expansion of x in x 1.207 * [backup-simplify]: Simplify 0 into 0 1.207 * [backup-simplify]: Simplify 1 into 1 1.207 * [backup-simplify]: Simplify (/ 1 1) into 1 1.208 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 1.208 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 1.208 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 1.208 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 1.208 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.208 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.208 * [taylor]: Taking taylor expansion of 1.0 in x 1.208 * [backup-simplify]: Simplify 1.0 into 1.0 1.208 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.208 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.208 * [taylor]: Taking taylor expansion of x in x 1.208 * [backup-simplify]: Simplify 0 into 0 1.208 * [backup-simplify]: Simplify 1 into 1 1.208 * [backup-simplify]: Simplify (/ 1 1) into 1 1.208 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.208 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.208 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.208 * [taylor]: Taking taylor expansion of x in x 1.208 * [backup-simplify]: Simplify 0 into 0 1.208 * [backup-simplify]: Simplify 1 into 1 1.208 * [backup-simplify]: Simplify (/ 1 1) into 1 1.209 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 1.209 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 1.209 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 1.209 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 1.209 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 1.209 * [backup-simplify]: Simplify (- 0) into 0 1.209 * [backup-simplify]: Simplify (+ 0 0) into 0 1.210 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))))) into 0 1.210 * [backup-simplify]: Simplify 0 into 0 1.210 * [backup-simplify]: Simplify (- 0) into 0 1.210 * [backup-simplify]: Simplify (+ 0 0) into 0 1.210 * [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 1.210 * [backup-simplify]: Simplify 0 into 0 1.211 * [backup-simplify]: Simplify (- 0) into 0 1.211 * [backup-simplify]: Simplify (+ 0 0) into 0 1.211 * [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 1.211 * [backup-simplify]: Simplify 0 into 0 1.211 * [backup-simplify]: Simplify (- 0) into 0 1.212 * [backup-simplify]: Simplify (+ 0 0) into 0 1.212 * [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 1.212 * [backup-simplify]: Simplify 0 into 0 1.212 * [backup-simplify]: Simplify (- 0) into 0 1.212 * [backup-simplify]: Simplify (+ 0 0) into 0 1.213 * [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 1.213 * [backup-simplify]: Simplify 0 into 0 1.213 * [backup-simplify]: Simplify (- 0) into 0 1.213 * [backup-simplify]: Simplify (+ 0 0) into 0 1.214 * [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 1.214 * [backup-simplify]: Simplify 0 into 0 1.214 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (/ 1 x)))) (sin (/ 1 (/ 1 x)))) into (/ (- 1.0 (cos x)) (sin x)) 1.214 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (- x)))) (sin (/ 1 (- x)))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 1.214 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 1.214 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.214 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.214 * [taylor]: Taking taylor expansion of 1.0 in x 1.214 * [backup-simplify]: Simplify 1.0 into 1.0 1.214 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.214 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.214 * [taylor]: Taking taylor expansion of -1 in x 1.214 * [backup-simplify]: Simplify -1 into -1 1.214 * [taylor]: Taking taylor expansion of x in x 1.214 * [backup-simplify]: Simplify 0 into 0 1.214 * [backup-simplify]: Simplify 1 into 1 1.214 * [backup-simplify]: Simplify (/ -1 1) into -1 1.215 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.215 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.215 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.215 * [taylor]: Taking taylor expansion of -1 in x 1.215 * [backup-simplify]: Simplify -1 into -1 1.215 * [taylor]: Taking taylor expansion of x in x 1.215 * [backup-simplify]: Simplify 0 into 0 1.215 * [backup-simplify]: Simplify 1 into 1 1.215 * [backup-simplify]: Simplify (/ -1 1) into -1 1.215 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 1.215 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 1.215 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 1.215 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 1.215 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.215 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.215 * [taylor]: Taking taylor expansion of 1.0 in x 1.215 * [backup-simplify]: Simplify 1.0 into 1.0 1.215 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.215 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.215 * [taylor]: Taking taylor expansion of -1 in x 1.215 * [backup-simplify]: Simplify -1 into -1 1.215 * [taylor]: Taking taylor expansion of x in x 1.215 * [backup-simplify]: Simplify 0 into 0 1.215 * [backup-simplify]: Simplify 1 into 1 1.216 * [backup-simplify]: Simplify (/ -1 1) into -1 1.216 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.216 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.216 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.216 * [taylor]: Taking taylor expansion of -1 in x 1.216 * [backup-simplify]: Simplify -1 into -1 1.216 * [taylor]: Taking taylor expansion of x in x 1.216 * [backup-simplify]: Simplify 0 into 0 1.216 * [backup-simplify]: Simplify 1 into 1 1.216 * [backup-simplify]: Simplify (/ -1 1) into -1 1.216 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 1.216 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 1.216 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 1.216 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 1.217 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 1.217 * [backup-simplify]: Simplify (- 0) into 0 1.217 * [backup-simplify]: Simplify (+ 0 0) into 0 1.217 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))))) into 0 1.217 * [backup-simplify]: Simplify 0 into 0 1.218 * [backup-simplify]: Simplify (- 0) into 0 1.218 * [backup-simplify]: Simplify (+ 0 0) into 0 1.218 * [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 1.218 * [backup-simplify]: Simplify 0 into 0 1.218 * [backup-simplify]: Simplify (- 0) into 0 1.218 * [backup-simplify]: Simplify (+ 0 0) into 0 1.219 * [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 1.219 * [backup-simplify]: Simplify 0 into 0 1.219 * [backup-simplify]: Simplify (- 0) into 0 1.219 * [backup-simplify]: Simplify (+ 0 0) into 0 1.220 * [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 1.220 * [backup-simplify]: Simplify 0 into 0 1.220 * [backup-simplify]: Simplify (- 0) into 0 1.220 * [backup-simplify]: Simplify (+ 0 0) into 0 1.220 * [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 1.220 * [backup-simplify]: Simplify 0 into 0 1.221 * [backup-simplify]: Simplify (- 0) into 0 1.221 * [backup-simplify]: Simplify (+ 0 0) into 0 1.221 * [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 1.221 * [backup-simplify]: Simplify 0 into 0 1.221 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 (/ 1 (- x))))) (sin (/ -1 (/ 1 (- x))))) into (/ (- 1.0 (cos x)) (sin x)) 1.222 * * * [progress]: simplifying candidates 1.223 * [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 (log (exp (/ (- 1.0 (cos x)) (sin x))))) (log1p (log (exp (/ (- 1.0 (cos x)) (sin x))))) (log (* (cbrt (exp (/ (- 1.0 (cos x)) (sin x)))) (cbrt (exp (/ (- 1.0 (cos x)) (sin x)))))) (log (cbrt (exp (/ (- 1.0 (cos x)) (sin x))))) (log (sqrt (exp (/ (- 1.0 (cos x)) (sin x))))) (log (sqrt (exp (/ (- 1.0 (cos x)) (sin x))))) (log 1) (log (exp (/ (- 1.0 (cos x)) (sin x)))) (log (exp (/ 1.0 (sin x)))) (log (exp (/ (cos x) (sin x)))) (log (exp (/ (- 1.0 (cos x)) (sin x)))) (log (exp (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))))) (log (exp (sqrt (/ (- 1.0 (cos x)) (sin x))))) (log (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x))))) (log (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1))) (log (exp (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))))) (log (exp (/ (sqrt (- 1.0 (cos x))) 1))) (log (exp (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ 1 (sqrt (sin x))))) (log (exp (/ 1 1))) (log (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))))) (log (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) 1))) (log (exp (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ 1 (sqrt (sin x))))) (log (exp (/ 1 1))) (log (exp 1)) (log (exp (- 1.0 (cos x)))) (log (log (exp (/ (- 1.0 (cos x)) (sin x))))) (exp (log (exp (/ (- 1.0 (cos x)) (sin x))))) (* (cbrt (log (exp (/ (- 1.0 (cos x)) (sin x))))) (cbrt (log (exp (/ (- 1.0 (cos x)) (sin x)))))) (cbrt (log (exp (/ (- 1.0 (cos x)) (sin x))))) (* (* (log (exp (/ (- 1.0 (cos x)) (sin x)))) (log (exp (/ (- 1.0 (cos x)) (sin x))))) (log (exp (/ (- 1.0 (cos x)) (sin x))))) (sqrt (log (exp (/ (- 1.0 (cos x)) (sin x))))) (sqrt (log (exp (/ (- 1.0 (cos x)) (sin x))))) (expm1 (exp (/ (- 1.0 (cos x)) (sin x)))) (log1p (exp (/ (- 1.0 (cos x)) (sin x)))) (exp (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x))))) (exp (sqrt (/ (- 1.0 (cos x)) (sin x)))) (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x)))) (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1)) (exp (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x)))) (exp (/ (sqrt (- 1.0 (cos x))) 1)) (exp (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ 1 (sqrt (sin x)))) (exp (/ 1 1)) (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x)))) (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) 1)) (exp (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ 1 (sqrt (sin x)))) (exp (/ 1 1)) (exp 1) (exp (- 1.0 (cos x))) (exp (/ 1.0 (sin x))) (exp (/ (cos x) (sin x))) (log (exp (/ (- 1.0 (cos x)) (sin x)))) (exp (exp (/ (- 1.0 (cos x)) (sin x)))) (* (cbrt (exp (/ (- 1.0 (cos x)) (sin x)))) (cbrt (exp (/ (- 1.0 (cos x)) (sin x))))) (cbrt (exp (/ (- 1.0 (cos x)) (sin x)))) (* (* (exp (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x)))) (exp (/ (- 1.0 (cos x)) (sin x)))) (sqrt (exp (/ (- 1.0 (cos x)) (sin x)))) (sqrt (exp (/ (- 1.0 (cos x)) (sin 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)) (+ (* 1/8 (pow x 2)) (+ (* 1/2 x) 1)) (exp (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin 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)) 1.224 * [simplify]: Sending expressions to egg_math: (fma (* (cbrt h1) (cbrt h1)) (cbrt h1) (- (* (cbrt (cos h0)) (* (cbrt (cos h0)) (cbrt (cos h0)))))) (fma (- (cbrt (cos h0))) (* (cbrt (cos h0)) (cbrt (cos h0))) (* (cbrt (cos h0)) (* (cbrt (cos h0)) (cbrt (cos h0))))) (fma (* (cbrt h1) (cbrt h1)) (cbrt h1) (- (* (sqrt (cos h0)) (sqrt (cos h0))))) (fma (- (sqrt (cos h0))) (sqrt (cos h0)) (* (sqrt (cos h0)) (sqrt (cos h0)))) (fma (* (cbrt h1) (cbrt h1)) (cbrt h1) (- (* (cos h0) 1))) (fma (- (cos h0)) 1 (* (cos h0) 1)) (fma (sqrt h1) (sqrt h1) (- (* (cbrt (cos h0)) (* (cbrt (cos h0)) (cbrt (cos h0)))))) (fma (- (cbrt (cos h0))) (* (cbrt (cos h0)) (cbrt (cos h0))) (* (cbrt (cos h0)) (* (cbrt (cos h0)) (cbrt (cos h0))))) (fma (sqrt h1) (sqrt h1) (- (* (sqrt (cos h0)) (sqrt (cos h0))))) (fma (- (sqrt (cos h0))) (sqrt (cos h0)) (* (sqrt (cos h0)) (sqrt (cos h0)))) (fma (sqrt h1) (sqrt h1) (- (* (cos h0) 1))) (fma (- (cos h0)) 1 (* (cos h0) 1)) (fma 1 h1 (- (* (cbrt (cos h0)) (* (cbrt (cos h0)) (cbrt (cos h0)))))) (fma (- (cbrt (cos h0))) (* (cbrt (cos h0)) (cbrt (cos h0))) (* (cbrt (cos h0)) (* (cbrt (cos h0)) (cbrt (cos h0))))) (fma 1 h1 (- (* (sqrt (cos h0)) (sqrt (cos h0))))) (fma (- (sqrt (cos h0))) (sqrt (cos h0)) (* (sqrt (cos h0)) (sqrt (cos h0)))) (fma 1 h1 (- (* (cos h0) 1))) (fma (- (cos h0)) 1 (* (cos h0) 1)) (expm1 (- h1 (cos h0))) (log1p (- h1 (cos h0))) (- (cos h0)) (- (cos h0)) (- (cos h0)) (/ (exp h1) (exp (cos h0))) (log (- h1 (cos h0))) (exp (- h1 (cos h0))) (* (cbrt (- h1 (cos h0))) (cbrt (- h1 (cos h0)))) (cbrt (- h1 (cos h0))) (* (* (- h1 (cos h0)) (- h1 (cos h0))) (- h1 (cos h0))) (sqrt (- h1 (cos h0))) (sqrt (- h1 (cos h0))) (- (pow h1 3) (pow (cos h0) 3)) (+ (* h1 h1) (+ (* (cos h0) (cos h0)) (* h1 (cos h0)))) (- (cos h0)) (- (* h1 h1) (* (cos h0) (cos h0))) (+ h1 (cos h0)) (+ (sqrt h1) (sqrt (cos h0))) (- (sqrt h1) (sqrt (cos h0))) (- h1 (cos h0)) (- (cos h0)) (expm1 (log (exp (/ (- h1 (cos h0)) (sin h0))))) (log1p (log (exp (/ (- h1 (cos h0)) (sin h0))))) (log (* (cbrt (exp (/ (- h1 (cos h0)) (sin h0)))) (cbrt (exp (/ (- h1 (cos h0)) (sin h0)))))) (log (cbrt (exp (/ (- h1 (cos h0)) (sin h0))))) (log (sqrt (exp (/ (- h1 (cos h0)) (sin h0))))) (log (sqrt (exp (/ (- h1 (cos h0)) (sin h0))))) (log 1) (log (exp (/ (- h1 (cos h0)) (sin h0)))) (log (exp (/ h1 (sin h0)))) (log (exp (/ (cos h0) (sin h0)))) (log (exp (/ (- h1 (cos h0)) (sin h0)))) (log (exp (* (cbrt (/ (- h1 (cos h0)) (sin h0))) (cbrt (/ (- h1 (cos h0)) (sin h0)))))) (log (exp (sqrt (/ (- h1 (cos h0)) (sin h0))))) (log (exp (/ (* (cbrt (- h1 (cos h0))) (cbrt (- h1 (cos h0)))) (* (cbrt (sin h0)) (cbrt (sin h0)))))) (log (exp (/ (* (cbrt (- h1 (cos h0))) (cbrt (- h1 (cos h0)))) (sqrt (sin h0))))) (log (exp (/ (* (cbrt (- h1 (cos h0))) (cbrt (- h1 (cos h0)))) 1))) (log (exp (/ (sqrt (- h1 (cos h0))) (* (cbrt (sin h0)) (cbrt (sin h0)))))) (log (exp (/ (sqrt (- h1 (cos h0))) (sqrt (sin h0))))) (log (exp (/ (sqrt (- h1 (cos h0))) 1))) (log (exp (/ 1 (* (cbrt (sin h0)) (cbrt (sin h0)))))) (log (exp (/ 1 (sqrt (sin h0))))) (log (exp (/ 1 1))) (log (exp (/ (+ (sqrt h1) (sqrt (cos h0))) (* (cbrt (sin h0)) (cbrt (sin h0)))))) (log (exp (/ (+ (sqrt h1) (sqrt (cos h0))) (sqrt (sin h0))))) (log (exp (/ (+ (sqrt h1) (sqrt (cos h0))) 1))) (log (exp (/ 1 (* (cbrt (sin h0)) (cbrt (sin h0)))))) (log (exp (/ 1 (sqrt (sin h0))))) (log (exp (/ 1 1))) (log (exp 1)) (log (exp (- h1 (cos h0)))) (log (log (exp (/ (- h1 (cos h0)) (sin h0))))) (exp (log (exp (/ (- h1 (cos h0)) (sin h0))))) (* (cbrt (log (exp (/ (- h1 (cos h0)) (sin h0))))) (cbrt (log (exp (/ (- h1 (cos h0)) (sin h0)))))) (cbrt (log (exp (/ (- h1 (cos h0)) (sin h0))))) (* (* (log (exp (/ (- h1 (cos h0)) (sin h0)))) (log (exp (/ (- h1 (cos h0)) (sin h0))))) (log (exp (/ (- h1 (cos h0)) (sin h0))))) (sqrt (log (exp (/ (- h1 (cos h0)) (sin h0))))) (sqrt (log (exp (/ (- h1 (cos h0)) (sin h0))))) (expm1 (exp (/ (- h1 (cos h0)) (sin h0)))) (log1p (exp (/ (- h1 (cos h0)) (sin h0)))) (exp (* (cbrt (/ (- h1 (cos h0)) (sin h0))) (cbrt (/ (- h1 (cos h0)) (sin h0))))) (exp (sqrt (/ (- h1 (cos h0)) (sin h0)))) (exp (/ (* (cbrt (- h1 (cos h0))) (cbrt (- h1 (cos h0)))) (* (cbrt (sin h0)) (cbrt (sin h0))))) (exp (/ (* (cbrt (- h1 (cos h0))) (cbrt (- h1 (cos h0)))) (sqrt (sin h0)))) (exp (/ (* (cbrt (- h1 (cos h0))) (cbrt (- h1 (cos h0)))) 1)) (exp (/ (sqrt (- h1 (cos h0))) (* (cbrt (sin h0)) (cbrt (sin h0))))) (exp (/ (sqrt (- h1 (cos h0))) (sqrt (sin h0)))) (exp (/ (sqrt (- h1 (cos h0))) 1)) (exp (/ 1 (* (cbrt (sin h0)) (cbrt (sin h0))))) (exp (/ 1 (sqrt (sin h0)))) (exp (/ 1 1)) (exp (/ (+ (sqrt h1) (sqrt (cos h0))) (* (cbrt (sin h0)) (cbrt (sin h0))))) (exp (/ (+ (sqrt h1) (sqrt (cos h0))) (sqrt (sin h0)))) (exp (/ (+ (sqrt h1) (sqrt (cos h0))) 1)) (exp (/ 1 (* (cbrt (sin h0)) (cbrt (sin h0))))) (exp (/ 1 (sqrt (sin h0)))) (exp (/ 1 1)) (exp 1) (exp (- h1 (cos h0))) (exp (/ h1 (sin h0))) (exp (/ (cos h0) (sin h0))) (log (exp (/ (- h1 (cos h0)) (sin h0)))) (exp (exp (/ (- h1 (cos h0)) (sin h0)))) (* (cbrt (exp (/ (- h1 (cos h0)) (sin h0)))) (cbrt (exp (/ (- h1 (cos h0)) (sin h0))))) (cbrt (exp (/ (- h1 (cos h0)) (sin h0)))) (* (* (exp (/ (- h1 (cos h0)) (sin h0))) (exp (/ (- h1 (cos h0)) (sin h0)))) (exp (/ (- h1 (cos h0)) (sin h0)))) (sqrt (exp (/ (- h1 (cos h0)) (sin h0)))) (sqrt (exp (/ (- h1 (cos h0)) (sin h0)))) (expm1 (/ (- h1 (cos h0)) (sin h0))) (log1p (/ (- h1 (cos h0)) (sin h0))) (- (log (- h1 (cos h0))) (log (sin h0))) (log (/ (- h1 (cos h0)) (sin h0))) (exp (/ (- h1 (cos h0)) (sin h0))) (/ (* (* (- h1 (cos h0)) (- h1 (cos h0))) (- h1 (cos h0))) (* (* (sin h0) (sin h0)) (sin h0))) (* (cbrt (/ (- h1 (cos h0)) (sin h0))) (cbrt (/ (- h1 (cos h0)) (sin h0)))) (cbrt (/ (- h1 (cos h0)) (sin h0))) (* (* (/ (- h1 (cos h0)) (sin h0)) (/ (- h1 (cos h0)) (sin h0))) (/ (- h1 (cos h0)) (sin h0))) (sqrt (/ (- h1 (cos h0)) (sin h0))) (sqrt (/ (- h1 (cos h0)) (sin h0))) (- (- h1 (cos h0))) (- (sin h0)) (/ h1 (sin h0)) (/ (cos h0) (sin h0)) (/ (* (cbrt (- h1 (cos h0))) (cbrt (- h1 (cos h0)))) (* (cbrt (sin h0)) (cbrt (sin h0)))) (/ (cbrt (- h1 (cos h0))) (cbrt (sin h0))) (/ (* (cbrt (- h1 (cos h0))) (cbrt (- h1 (cos h0)))) (sqrt (sin h0))) (/ (cbrt (- h1 (cos h0))) (sqrt (sin h0))) (/ (* (cbrt (- h1 (cos h0))) (cbrt (- h1 (cos h0)))) 1) (/ (cbrt (- h1 (cos h0))) (sin h0)) (/ (sqrt (- h1 (cos h0))) (* (cbrt (sin h0)) (cbrt (sin h0)))) (/ (sqrt (- h1 (cos h0))) (cbrt (sin h0))) (/ (sqrt (- h1 (cos h0))) (sqrt (sin h0))) (/ (sqrt (- h1 (cos h0))) (sqrt (sin h0))) (/ (sqrt (- h1 (cos h0))) 1) (/ (sqrt (- h1 (cos h0))) (sin h0)) (/ 1 (* (cbrt (sin h0)) (cbrt (sin h0)))) (/ (- h1 (cos h0)) (cbrt (sin h0))) (/ 1 (sqrt (sin h0))) (/ (- h1 (cos h0)) (sqrt (sin h0))) (/ 1 1) (/ (- h1 (cos h0)) (sin h0)) (/ (+ (sqrt h1) (sqrt (cos h0))) (* (cbrt (sin h0)) (cbrt (sin h0)))) (/ (- (sqrt h1) (sqrt (cos h0))) (cbrt (sin h0))) (/ (+ (sqrt h1) (sqrt (cos h0))) (sqrt (sin h0))) (/ (- (sqrt h1) (sqrt (cos h0))) (sqrt (sin h0))) (/ (+ (sqrt h1) (sqrt (cos h0))) 1) (/ (- (sqrt h1) (sqrt (cos h0))) (sin h0)) (/ 1 (* (cbrt (sin h0)) (cbrt (sin h0)))) (/ (- h1 (cos h0)) (cbrt (sin h0))) (/ 1 (sqrt (sin h0))) (/ (- h1 (cos h0)) (sqrt (sin h0))) (/ 1 1) (/ (- h1 (cos h0)) (sin h0)) (/ 1 (sin h0)) (/ (sin h0) (- h1 (cos h0))) (/ (- h1 (cos h0)) (* (cbrt (sin h0)) (cbrt (sin h0)))) (/ (- h1 (cos h0)) (sqrt (sin h0))) (/ (- h1 (cos h0)) 1) (/ (sin h0) (cbrt (- h1 (cos h0)))) (/ (sin h0) (sqrt (- h1 (cos h0)))) (/ (sin h0) (- h1 (cos h0))) (/ (sin h0) (- (sqrt h1) (sqrt (cos h0)))) (/ (sin h0) (- h1 (cos h0))) (* (sin h0) (+ (* h1 h1) (+ (* (cos h0) (cos h0)) (* h1 (cos h0))))) (* (sin h0) (+ h1 (cos h0))) (- (+ (* 1/2 (pow h0 2)) (* 1/720 (pow h0 6))) (* 1/24 (pow h0 4))) (- h1 (cos h0)) (- h1 (cos h0)) (+ (* 1/24 (pow h0 3)) (+ (* 1/240 (pow h0 5)) (* 1/2 h0))) (/ (- h1 (cos h0)) (sin h0)) (/ (- h1 (cos h0)) (sin h0)) (+ (* 1/8 (pow h0 2)) (+ (* 1/2 h0) 1)) (exp (/ (- h1 (cos h0)) (sin h0))) (exp (/ (- h1 (cos h0)) (sin h0))) (+ (* 1/24 (pow h0 3)) (+ (* 1/240 (pow h0 5)) (* 1/2 h0))) (/ (- h1 (cos h0)) (sin h0)) (/ (- h1 (cos h0)) (sin h0)) 1.229 * * [simplify]: iteration 0 : 368 enodes (cost 1009 ) 1.235 * * [simplify]: iteration 1 : 1099 enodes (cost 873 ) 1.257 * * [simplify]: iteration 2 : 5002 enodes (cost 871 ) 1.261 * * * [progress]: adding candidates to table 1.588 * * [progress]: iteration 4 / 4 1.588 * * * [progress]: picking best candidate 1.618 * * * * [pick]: Picked # 1.618 * * * [progress]: localizing error 1.631 * * * [progress]: generating rewritten candidates 1.631 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 1.638 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 1.645 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.652 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.702 * * * [progress]: generating series expansions 1.702 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 1.702 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 1.702 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.702 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.702 * [taylor]: Taking taylor expansion of 1.0 in x 1.702 * [backup-simplify]: Simplify 1.0 into 1.0 1.702 * [taylor]: Taking taylor expansion of (cos x) in x 1.702 * [taylor]: Taking taylor expansion of x in x 1.702 * [backup-simplify]: Simplify 0 into 0 1.702 * [backup-simplify]: Simplify 1 into 1 1.702 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.702 * [taylor]: Taking taylor expansion of 1.0 in x 1.702 * [backup-simplify]: Simplify 1.0 into 1.0 1.702 * [taylor]: Taking taylor expansion of (cos x) in x 1.702 * [taylor]: Taking taylor expansion of x in x 1.702 * [backup-simplify]: Simplify 0 into 0 1.702 * [backup-simplify]: Simplify 1 into 1 1.703 * [backup-simplify]: Simplify (- 1) into -1 1.703 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.703 * [backup-simplify]: Simplify 0 into 0 1.703 * [backup-simplify]: Simplify (+ 0) into 0 1.704 * [backup-simplify]: Simplify (- 0) into 0 1.704 * [backup-simplify]: Simplify (+ 0 0) into 0 1.704 * [backup-simplify]: Simplify 0 into 0 1.704 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.705 * [backup-simplify]: Simplify (- -1/2) into 1/2 1.705 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.705 * [backup-simplify]: Simplify 1/2 into 1/2 1.706 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.706 * [backup-simplify]: Simplify (- 0) into 0 1.706 * [backup-simplify]: Simplify (+ 0 0) into 0 1.706 * [backup-simplify]: Simplify 0 into 0 1.707 * [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 1.708 * [backup-simplify]: Simplify (- 1/24) into -1/24 1.708 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 1.708 * [backup-simplify]: Simplify -1/24 into -1/24 1.709 * [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 1.709 * [backup-simplify]: Simplify (- 0) into 0 1.709 * [backup-simplify]: Simplify (+ 0 0) into 0 1.709 * [backup-simplify]: Simplify 0 into 0 1.712 * [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 1.712 * [backup-simplify]: Simplify (- -1/720) into 1/720 1.712 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 1.712 * [backup-simplify]: Simplify 1/720 into 1/720 1.713 * [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))) 1.713 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 1.713 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.713 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.713 * [taylor]: Taking taylor expansion of 1.0 in x 1.713 * [backup-simplify]: Simplify 1.0 into 1.0 1.713 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.713 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.713 * [taylor]: Taking taylor expansion of x in x 1.713 * [backup-simplify]: Simplify 0 into 0 1.713 * [backup-simplify]: Simplify 1 into 1 1.713 * [backup-simplify]: Simplify (/ 1 1) into 1 1.713 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.713 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.713 * [taylor]: Taking taylor expansion of 1.0 in x 1.713 * [backup-simplify]: Simplify 1.0 into 1.0 1.713 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.713 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.713 * [taylor]: Taking taylor expansion of x in x 1.713 * [backup-simplify]: Simplify 0 into 0 1.713 * [backup-simplify]: Simplify 1 into 1 1.714 * [backup-simplify]: Simplify (/ 1 1) into 1 1.714 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.714 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 1.714 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 1.714 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 1.714 * [backup-simplify]: Simplify (- 0) into 0 1.714 * [backup-simplify]: Simplify (+ 0 0) into 0 1.714 * [backup-simplify]: Simplify 0 into 0 1.715 * [backup-simplify]: Simplify (- 0) into 0 1.715 * [backup-simplify]: Simplify (+ 0 0) into 0 1.715 * [backup-simplify]: Simplify 0 into 0 1.715 * [backup-simplify]: Simplify (- 0) into 0 1.715 * [backup-simplify]: Simplify (+ 0 0) into 0 1.715 * [backup-simplify]: Simplify 0 into 0 1.716 * [backup-simplify]: Simplify (- 0) into 0 1.716 * [backup-simplify]: Simplify (+ 0 0) into 0 1.716 * [backup-simplify]: Simplify 0 into 0 1.716 * [backup-simplify]: Simplify (- 0) into 0 1.716 * [backup-simplify]: Simplify (+ 0 0) into 0 1.716 * [backup-simplify]: Simplify 0 into 0 1.716 * [backup-simplify]: Simplify (- 0) into 0 1.717 * [backup-simplify]: Simplify (+ 0 0) into 0 1.717 * [backup-simplify]: Simplify 0 into 0 1.717 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 1.717 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 1.717 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.717 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.717 * [taylor]: Taking taylor expansion of 1.0 in x 1.717 * [backup-simplify]: Simplify 1.0 into 1.0 1.717 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.717 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.717 * [taylor]: Taking taylor expansion of -1 in x 1.717 * [backup-simplify]: Simplify -1 into -1 1.717 * [taylor]: Taking taylor expansion of x in x 1.717 * [backup-simplify]: Simplify 0 into 0 1.717 * [backup-simplify]: Simplify 1 into 1 1.717 * [backup-simplify]: Simplify (/ -1 1) into -1 1.717 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.717 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.717 * [taylor]: Taking taylor expansion of 1.0 in x 1.717 * [backup-simplify]: Simplify 1.0 into 1.0 1.717 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.717 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.717 * [taylor]: Taking taylor expansion of -1 in x 1.717 * [backup-simplify]: Simplify -1 into -1 1.717 * [taylor]: Taking taylor expansion of x in x 1.718 * [backup-simplify]: Simplify 0 into 0 1.718 * [backup-simplify]: Simplify 1 into 1 1.718 * [backup-simplify]: Simplify (/ -1 1) into -1 1.718 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.718 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 1.718 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 1.718 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 1.718 * [backup-simplify]: Simplify (- 0) into 0 1.718 * [backup-simplify]: Simplify (+ 0 0) into 0 1.719 * [backup-simplify]: Simplify 0 into 0 1.719 * [backup-simplify]: Simplify (- 0) into 0 1.719 * [backup-simplify]: Simplify (+ 0 0) into 0 1.719 * [backup-simplify]: Simplify 0 into 0 1.719 * [backup-simplify]: Simplify (- 0) into 0 1.720 * [backup-simplify]: Simplify (+ 0 0) into 0 1.720 * [backup-simplify]: Simplify 0 into 0 1.720 * [backup-simplify]: Simplify (- 0) into 0 1.720 * [backup-simplify]: Simplify (+ 0 0) into 0 1.720 * [backup-simplify]: Simplify 0 into 0 1.720 * [backup-simplify]: Simplify (- 0) into 0 1.721 * [backup-simplify]: Simplify (+ 0 0) into 0 1.721 * [backup-simplify]: Simplify 0 into 0 1.721 * [backup-simplify]: Simplify (- 0) into 0 1.721 * [backup-simplify]: Simplify (+ 0 0) into 0 1.721 * [backup-simplify]: Simplify 0 into 0 1.721 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 1.721 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 1.721 * [backup-simplify]: Simplify (log (- 1.0 (cos x))) into (log (- 1.0 (cos x))) 1.721 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos x))) in (x) around 0 1.721 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 1.721 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.721 * [taylor]: Taking taylor expansion of 1.0 in x 1.721 * [backup-simplify]: Simplify 1.0 into 1.0 1.721 * [taylor]: Taking taylor expansion of (cos x) in x 1.721 * [taylor]: Taking taylor expansion of x in x 1.721 * [backup-simplify]: Simplify 0 into 0 1.721 * [backup-simplify]: Simplify 1 into 1 1.722 * [backup-simplify]: Simplify (- 1) into -1 1.722 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.722 * [backup-simplify]: Simplify (+ 0) into 0 1.722 * [backup-simplify]: Simplify (- 0) into 0 1.723 * [backup-simplify]: Simplify (+ 0 0) into 0 1.723 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.723 * [backup-simplify]: Simplify (- -1/2) into 1/2 1.723 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.724 * [backup-simplify]: Simplify (log 1/2) into (log 1/2) 1.724 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 1.724 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.724 * [taylor]: Taking taylor expansion of 1.0 in x 1.724 * [backup-simplify]: Simplify 1.0 into 1.0 1.724 * [taylor]: Taking taylor expansion of (cos x) in x 1.724 * [taylor]: Taking taylor expansion of x in x 1.724 * [backup-simplify]: Simplify 0 into 0 1.724 * [backup-simplify]: Simplify 1 into 1 1.724 * [backup-simplify]: Simplify (- 1) into -1 1.724 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.725 * [backup-simplify]: Simplify (+ 0) into 0 1.725 * [backup-simplify]: Simplify (- 0) into 0 1.725 * [backup-simplify]: Simplify (+ 0 0) into 0 1.726 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.726 * [backup-simplify]: Simplify (- -1/2) into 1/2 1.726 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.726 * [backup-simplify]: Simplify (log 1/2) into (log 1/2) 1.727 * [backup-simplify]: Simplify (+ (* (- -2) (log x)) (log 1/2)) into (+ (* 2 (log x)) (log 1/2)) 1.727 * [backup-simplify]: Simplify (+ (* 2 (log x)) (log 1/2)) into (+ (* 2 (log x)) (log 1/2)) 1.728 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.728 * [backup-simplify]: Simplify (- 0) into 0 1.728 * [backup-simplify]: Simplify (+ 0 0) into 0 1.729 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 1.729 * [backup-simplify]: Simplify 0 into 0 1.730 * [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 1.731 * [backup-simplify]: Simplify (- 1/24) into -1/24 1.731 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 1.732 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 -1/24) 1)) (pow 1/2 1)))) 2) into -1/12 1.732 * [backup-simplify]: Simplify -1/12 into -1/12 1.734 * [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 1.734 * [backup-simplify]: Simplify (- 0) into 0 1.734 * [backup-simplify]: Simplify (+ 0 0) into 0 1.737 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1/2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/24) 1)) (pow 1/2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1/2 1)))) 6) into 0 1.737 * [backup-simplify]: Simplify 0 into 0 1.739 * [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 1.740 * [backup-simplify]: Simplify (- -1/720) into 1/720 1.740 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 1.745 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1/2 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/24) 1)) (pow 1/2 3))) (* -3 (/ (* 1 (pow (* 2 -1/24) 2)) (pow 1/2 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1/2 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/720) 1)) (pow 1/2 1)))) 24) into -1/1440 1.745 * [backup-simplify]: Simplify -1/1440 into -1/1440 1.746 * [backup-simplify]: Simplify (+ (* -1/1440 (pow x 4)) (+ (* -1/12 (pow x 2)) (+ (* 2 (log x)) (log 1/2)))) into (- (+ (* 2 (log x)) (log 1/2)) (+ (* 1/12 (pow x 2)) (* 1/1440 (pow x 4)))) 1.746 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ 1 x)))) into (log (- 1.0 (cos (/ 1 x)))) 1.746 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in (x) around 0 1.746 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 1.746 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.746 * [taylor]: Taking taylor expansion of 1.0 in x 1.746 * [backup-simplify]: Simplify 1.0 into 1.0 1.746 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.746 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.746 * [taylor]: Taking taylor expansion of x in x 1.746 * [backup-simplify]: Simplify 0 into 0 1.746 * [backup-simplify]: Simplify 1 into 1 1.747 * [backup-simplify]: Simplify (/ 1 1) into 1 1.747 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.747 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 1.747 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 1.747 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ 1 x)))) into (log (- 1.0 (cos (/ 1 x)))) 1.747 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 1.747 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.747 * [taylor]: Taking taylor expansion of 1.0 in x 1.747 * [backup-simplify]: Simplify 1.0 into 1.0 1.747 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.747 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.747 * [taylor]: Taking taylor expansion of x in x 1.747 * [backup-simplify]: Simplify 0 into 0 1.747 * [backup-simplify]: Simplify 1 into 1 1.747 * [backup-simplify]: Simplify (/ 1 1) into 1 1.747 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.747 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 1.747 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 1.747 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ 1 x)))) into (log (- 1.0 (cos (/ 1 x)))) 1.748 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ 1 x)))) into (log (- 1.0 (cos (/ 1 x)))) 1.748 * [backup-simplify]: Simplify (- 0) into 0 1.748 * [backup-simplify]: Simplify (+ 0 0) into 0 1.749 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 1)))) 1) into 0 1.749 * [backup-simplify]: Simplify 0 into 0 1.749 * [backup-simplify]: Simplify (- 0) into 0 1.749 * [backup-simplify]: Simplify (+ 0 0) into 0 1.750 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 1)))) 2) into 0 1.750 * [backup-simplify]: Simplify 0 into 0 1.750 * [backup-simplify]: Simplify (- 0) into 0 1.751 * [backup-simplify]: Simplify (+ 0 0) into 0 1.757 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- 1.0 (cos (/ 1 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 1)))) 6) into 0 1.757 * [backup-simplify]: Simplify 0 into 0 1.758 * [backup-simplify]: Simplify (- 0) into 0 1.758 * [backup-simplify]: Simplify (+ 0 0) into 0 1.761 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (- 1.0 (cos (/ 1 x))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 1)))) 24) into 0 1.761 * [backup-simplify]: Simplify 0 into 0 1.761 * [backup-simplify]: Simplify (- 0) into 0 1.762 * [backup-simplify]: Simplify (+ 0 0) into 0 1.766 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (- 1.0 (cos (/ 1 x))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (- 1.0 (cos (/ 1 x))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 1)))) 120) into 0 1.766 * [backup-simplify]: Simplify 0 into 0 1.767 * [backup-simplify]: Simplify (- 0) into 0 1.767 * [backup-simplify]: Simplify (+ 0 0) into 0 1.774 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (- 1.0 (cos (/ 1 x))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (- 1.0 (cos (/ 1 x))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (- 1.0 (cos (/ 1 x))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 1)))) 720) into 0 1.774 * [backup-simplify]: Simplify 0 into 0 1.774 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ 1 (/ 1 x))))) into (log (- 1.0 (cos x))) 1.775 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ 1 (- x))))) into (log (- 1.0 (cos (/ -1 x)))) 1.775 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in (x) around 0 1.775 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 1.775 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.775 * [taylor]: Taking taylor expansion of 1.0 in x 1.775 * [backup-simplify]: Simplify 1.0 into 1.0 1.775 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.775 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.775 * [taylor]: Taking taylor expansion of -1 in x 1.775 * [backup-simplify]: Simplify -1 into -1 1.775 * [taylor]: Taking taylor expansion of x in x 1.775 * [backup-simplify]: Simplify 0 into 0 1.775 * [backup-simplify]: Simplify 1 into 1 1.775 * [backup-simplify]: Simplify (/ -1 1) into -1 1.775 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.775 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 1.775 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 1.775 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ -1 x)))) into (log (- 1.0 (cos (/ -1 x)))) 1.775 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 1.775 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.775 * [taylor]: Taking taylor expansion of 1.0 in x 1.775 * [backup-simplify]: Simplify 1.0 into 1.0 1.775 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.775 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.775 * [taylor]: Taking taylor expansion of -1 in x 1.775 * [backup-simplify]: Simplify -1 into -1 1.775 * [taylor]: Taking taylor expansion of x in x 1.775 * [backup-simplify]: Simplify 0 into 0 1.775 * [backup-simplify]: Simplify 1 into 1 1.776 * [backup-simplify]: Simplify (/ -1 1) into -1 1.776 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.776 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 1.776 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 1.776 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ -1 x)))) into (log (- 1.0 (cos (/ -1 x)))) 1.776 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ -1 x)))) into (log (- 1.0 (cos (/ -1 x)))) 1.776 * [backup-simplify]: Simplify (- 0) into 0 1.777 * [backup-simplify]: Simplify (+ 0 0) into 0 1.777 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 1)))) 1) into 0 1.777 * [backup-simplify]: Simplify 0 into 0 1.777 * [backup-simplify]: Simplify (- 0) into 0 1.778 * [backup-simplify]: Simplify (+ 0 0) into 0 1.779 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 1)))) 2) into 0 1.779 * [backup-simplify]: Simplify 0 into 0 1.779 * [backup-simplify]: Simplify (- 0) into 0 1.779 * [backup-simplify]: Simplify (+ 0 0) into 0 1.781 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- 1.0 (cos (/ -1 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 1)))) 6) into 0 1.781 * [backup-simplify]: Simplify 0 into 0 1.781 * [backup-simplify]: Simplify (- 0) into 0 1.781 * [backup-simplify]: Simplify (+ 0 0) into 0 1.784 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (- 1.0 (cos (/ -1 x))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 1)))) 24) into 0 1.784 * [backup-simplify]: Simplify 0 into 0 1.784 * [backup-simplify]: Simplify (- 0) into 0 1.785 * [backup-simplify]: Simplify (+ 0 0) into 0 1.789 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (- 1.0 (cos (/ -1 x))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (- 1.0 (cos (/ -1 x))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 1)))) 120) into 0 1.789 * [backup-simplify]: Simplify 0 into 0 1.789 * [backup-simplify]: Simplify (- 0) into 0 1.789 * [backup-simplify]: Simplify (+ 0 0) into 0 1.796 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (- 1.0 (cos (/ -1 x))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (- 1.0 (cos (/ -1 x))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (- 1.0 (cos (/ -1 x))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 1)))) 720) into 0 1.796 * [backup-simplify]: Simplify 0 into 0 1.797 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ -1 (/ 1 (- x)))))) into (log (- 1.0 (cos x))) 1.797 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.797 * [backup-simplify]: Simplify (exp (log (- 1.0 (cos x)))) into (- 1.0 (cos x)) 1.797 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.797 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.797 * [taylor]: Taking taylor expansion of 1.0 in x 1.797 * [backup-simplify]: Simplify 1.0 into 1.0 1.797 * [taylor]: Taking taylor expansion of (cos x) in x 1.797 * [taylor]: Taking taylor expansion of x in x 1.797 * [backup-simplify]: Simplify 0 into 0 1.797 * [backup-simplify]: Simplify 1 into 1 1.797 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.797 * [taylor]: Taking taylor expansion of 1.0 in x 1.797 * [backup-simplify]: Simplify 1.0 into 1.0 1.797 * [taylor]: Taking taylor expansion of (cos x) in x 1.797 * [taylor]: Taking taylor expansion of x in x 1.797 * [backup-simplify]: Simplify 0 into 0 1.797 * [backup-simplify]: Simplify 1 into 1 1.797 * [backup-simplify]: Simplify (- 1) into -1 1.798 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.798 * [backup-simplify]: Simplify 0 into 0 1.798 * [backup-simplify]: Simplify (+ 0) into 0 1.798 * [backup-simplify]: Simplify (- 0) into 0 1.798 * [backup-simplify]: Simplify (+ 0 0) into 0 1.798 * [backup-simplify]: Simplify 0 into 0 1.799 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.799 * [backup-simplify]: Simplify (- -1/2) into 1/2 1.799 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.799 * [backup-simplify]: Simplify 1/2 into 1/2 1.800 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.800 * [backup-simplify]: Simplify (- 0) into 0 1.800 * [backup-simplify]: Simplify (+ 0 0) into 0 1.800 * [backup-simplify]: Simplify 0 into 0 1.802 * [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 1.802 * [backup-simplify]: Simplify (- 1/24) into -1/24 1.802 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 1.802 * [backup-simplify]: Simplify -1/24 into -1/24 1.803 * [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 1.803 * [backup-simplify]: Simplify (- 0) into 0 1.804 * [backup-simplify]: Simplify (+ 0 0) into 0 1.804 * [backup-simplify]: Simplify 0 into 0 1.806 * [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 1.806 * [backup-simplify]: Simplify (- -1/720) into 1/720 1.807 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 1.807 * [backup-simplify]: Simplify 1/720 into 1/720 1.807 * [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))) 1.807 * [backup-simplify]: Simplify (exp (log (- 1.0 (cos (/ 1 x))))) into (- 1.0 (cos (/ 1 x))) 1.807 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.807 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.807 * [taylor]: Taking taylor expansion of 1.0 in x 1.807 * [backup-simplify]: Simplify 1.0 into 1.0 1.807 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.807 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.807 * [taylor]: Taking taylor expansion of x in x 1.807 * [backup-simplify]: Simplify 0 into 0 1.807 * [backup-simplify]: Simplify 1 into 1 1.807 * [backup-simplify]: Simplify (/ 1 1) into 1 1.808 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.808 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.808 * [taylor]: Taking taylor expansion of 1.0 in x 1.808 * [backup-simplify]: Simplify 1.0 into 1.0 1.808 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.808 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.808 * [taylor]: Taking taylor expansion of x in x 1.808 * [backup-simplify]: Simplify 0 into 0 1.808 * [backup-simplify]: Simplify 1 into 1 1.808 * [backup-simplify]: Simplify (/ 1 1) into 1 1.808 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.808 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 1.808 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 1.808 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 1.808 * [backup-simplify]: Simplify (- 0) into 0 1.809 * [backup-simplify]: Simplify (+ 0 0) into 0 1.809 * [backup-simplify]: Simplify 0 into 0 1.809 * [backup-simplify]: Simplify (- 0) into 0 1.809 * [backup-simplify]: Simplify (+ 0 0) into 0 1.809 * [backup-simplify]: Simplify 0 into 0 1.809 * [backup-simplify]: Simplify (- 0) into 0 1.810 * [backup-simplify]: Simplify (+ 0 0) into 0 1.810 * [backup-simplify]: Simplify 0 into 0 1.810 * [backup-simplify]: Simplify (- 0) into 0 1.810 * [backup-simplify]: Simplify (+ 0 0) into 0 1.810 * [backup-simplify]: Simplify 0 into 0 1.810 * [backup-simplify]: Simplify (- 0) into 0 1.810 * [backup-simplify]: Simplify (+ 0 0) into 0 1.810 * [backup-simplify]: Simplify 0 into 0 1.811 * [backup-simplify]: Simplify (- 0) into 0 1.811 * [backup-simplify]: Simplify (+ 0 0) into 0 1.811 * [backup-simplify]: Simplify 0 into 0 1.811 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 1.811 * [backup-simplify]: Simplify (exp (log (- 1.0 (cos (/ 1 (- x)))))) into (- 1.0 (cos (/ -1 x))) 1.811 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.811 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.811 * [taylor]: Taking taylor expansion of 1.0 in x 1.811 * [backup-simplify]: Simplify 1.0 into 1.0 1.811 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.811 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.811 * [taylor]: Taking taylor expansion of -1 in x 1.811 * [backup-simplify]: Simplify -1 into -1 1.811 * [taylor]: Taking taylor expansion of x in x 1.811 * [backup-simplify]: Simplify 0 into 0 1.811 * [backup-simplify]: Simplify 1 into 1 1.812 * [backup-simplify]: Simplify (/ -1 1) into -1 1.812 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.812 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.812 * [taylor]: Taking taylor expansion of 1.0 in x 1.812 * [backup-simplify]: Simplify 1.0 into 1.0 1.812 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.812 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.812 * [taylor]: Taking taylor expansion of -1 in x 1.812 * [backup-simplify]: Simplify -1 into -1 1.812 * [taylor]: Taking taylor expansion of x in x 1.812 * [backup-simplify]: Simplify 0 into 0 1.812 * [backup-simplify]: Simplify 1 into 1 1.812 * [backup-simplify]: Simplify (/ -1 1) into -1 1.812 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.812 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 1.812 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 1.812 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 1.813 * [backup-simplify]: Simplify (- 0) into 0 1.813 * [backup-simplify]: Simplify (+ 0 0) into 0 1.813 * [backup-simplify]: Simplify 0 into 0 1.813 * [backup-simplify]: Simplify (- 0) into 0 1.813 * [backup-simplify]: Simplify (+ 0 0) into 0 1.813 * [backup-simplify]: Simplify 0 into 0 1.813 * [backup-simplify]: Simplify (- 0) into 0 1.814 * [backup-simplify]: Simplify (+ 0 0) into 0 1.814 * [backup-simplify]: Simplify 0 into 0 1.814 * [backup-simplify]: Simplify (- 0) into 0 1.814 * [backup-simplify]: Simplify (+ 0 0) into 0 1.814 * [backup-simplify]: Simplify 0 into 0 1.814 * [backup-simplify]: Simplify (- 0) into 0 1.815 * [backup-simplify]: Simplify (+ 0 0) into 0 1.815 * [backup-simplify]: Simplify 0 into 0 1.815 * [backup-simplify]: Simplify (- 0) into 0 1.815 * [backup-simplify]: Simplify (+ 0 0) into 0 1.815 * [backup-simplify]: Simplify 0 into 0 1.815 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 1.815 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.815 * [backup-simplify]: Simplify (* (exp (log (- 1.0 (cos x)))) (/ 1 (sin x))) into (/ (- 1.0 (cos x)) (sin x)) 1.815 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 1.815 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.815 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.815 * [taylor]: Taking taylor expansion of 1.0 in x 1.815 * [backup-simplify]: Simplify 1.0 into 1.0 1.815 * [taylor]: Taking taylor expansion of (cos x) in x 1.815 * [taylor]: Taking taylor expansion of x in x 1.816 * [backup-simplify]: Simplify 0 into 0 1.816 * [backup-simplify]: Simplify 1 into 1 1.816 * [taylor]: Taking taylor expansion of (sin x) in x 1.816 * [taylor]: Taking taylor expansion of x in x 1.816 * [backup-simplify]: Simplify 0 into 0 1.816 * [backup-simplify]: Simplify 1 into 1 1.816 * [backup-simplify]: Simplify (- 1) into -1 1.816 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.816 * [backup-simplify]: Simplify (+ 0) into 0 1.816 * [backup-simplify]: Simplify (- 0) into 0 1.817 * [backup-simplify]: Simplify (+ 0 0) into 0 1.817 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.818 * [backup-simplify]: Simplify (- -1/2) into 1/2 1.818 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.818 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.819 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.819 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.819 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.819 * [taylor]: Taking taylor expansion of 1.0 in x 1.819 * [backup-simplify]: Simplify 1.0 into 1.0 1.819 * [taylor]: Taking taylor expansion of (cos x) in x 1.819 * [taylor]: Taking taylor expansion of x in x 1.819 * [backup-simplify]: Simplify 0 into 0 1.819 * [backup-simplify]: Simplify 1 into 1 1.819 * [taylor]: Taking taylor expansion of (sin x) in x 1.819 * [taylor]: Taking taylor expansion of x in x 1.819 * [backup-simplify]: Simplify 0 into 0 1.819 * [backup-simplify]: Simplify 1 into 1 1.819 * [backup-simplify]: Simplify (- 1) into -1 1.819 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.819 * [backup-simplify]: Simplify (+ 0) into 0 1.820 * [backup-simplify]: Simplify (- 0) into 0 1.820 * [backup-simplify]: Simplify (+ 0 0) into 0 1.821 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.821 * [backup-simplify]: Simplify (- -1/2) into 1/2 1.821 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.821 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.822 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.822 * [backup-simplify]: Simplify 1/2 into 1/2 1.822 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.823 * [backup-simplify]: Simplify (- 0) into 0 1.823 * [backup-simplify]: Simplify (+ 0 0) into 0 1.823 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.824 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.824 * [backup-simplify]: Simplify 0 into 0 1.825 * [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 1.825 * [backup-simplify]: Simplify (- 1/24) into -1/24 1.826 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 1.826 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 1.827 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/24 1.827 * [backup-simplify]: Simplify 1/24 into 1/24 1.828 * [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 1.829 * [backup-simplify]: Simplify (- 0) into 0 1.829 * [backup-simplify]: Simplify (+ 0 0) into 0 1.830 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/24 (/ 0 1)))) into 0 1.830 * [backup-simplify]: Simplify 0 into 0 1.833 * [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 1.833 * [backup-simplify]: Simplify (- -1/720) into 1/720 1.833 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 1.835 * [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 1.836 * [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 1.836 * [backup-simplify]: Simplify 1/240 into 1/240 1.836 * [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))) 1.837 * [backup-simplify]: Simplify (* (exp (log (- 1.0 (cos (/ 1 x))))) (/ 1 (sin (/ 1 x)))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 1.837 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 1.837 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.837 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.837 * [taylor]: Taking taylor expansion of 1.0 in x 1.837 * [backup-simplify]: Simplify 1.0 into 1.0 1.837 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.837 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.837 * [taylor]: Taking taylor expansion of x in x 1.837 * [backup-simplify]: Simplify 0 into 0 1.837 * [backup-simplify]: Simplify 1 into 1 1.837 * [backup-simplify]: Simplify (/ 1 1) into 1 1.837 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.837 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.837 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.837 * [taylor]: Taking taylor expansion of x in x 1.837 * [backup-simplify]: Simplify 0 into 0 1.837 * [backup-simplify]: Simplify 1 into 1 1.837 * [backup-simplify]: Simplify (/ 1 1) into 1 1.837 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 1.837 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 1.838 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 1.838 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 1.838 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.838 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.838 * [taylor]: Taking taylor expansion of 1.0 in x 1.838 * [backup-simplify]: Simplify 1.0 into 1.0 1.838 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.838 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.838 * [taylor]: Taking taylor expansion of x in x 1.838 * [backup-simplify]: Simplify 0 into 0 1.838 * [backup-simplify]: Simplify 1 into 1 1.838 * [backup-simplify]: Simplify (/ 1 1) into 1 1.838 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.838 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.838 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.838 * [taylor]: Taking taylor expansion of x in x 1.838 * [backup-simplify]: Simplify 0 into 0 1.838 * [backup-simplify]: Simplify 1 into 1 1.838 * [backup-simplify]: Simplify (/ 1 1) into 1 1.838 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 1.839 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 1.839 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 1.839 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 1.839 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 1.839 * [backup-simplify]: Simplify (- 0) into 0 1.839 * [backup-simplify]: Simplify (+ 0 0) into 0 1.839 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))))) into 0 1.840 * [backup-simplify]: Simplify 0 into 0 1.840 * [backup-simplify]: Simplify (- 0) into 0 1.840 * [backup-simplify]: Simplify (+ 0 0) into 0 1.840 * [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 1.840 * [backup-simplify]: Simplify 0 into 0 1.840 * [backup-simplify]: Simplify (- 0) into 0 1.841 * [backup-simplify]: Simplify (+ 0 0) into 0 1.841 * [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 1.841 * [backup-simplify]: Simplify 0 into 0 1.841 * [backup-simplify]: Simplify (- 0) into 0 1.841 * [backup-simplify]: Simplify (+ 0 0) into 0 1.842 * [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 1.842 * [backup-simplify]: Simplify 0 into 0 1.842 * [backup-simplify]: Simplify (- 0) into 0 1.842 * [backup-simplify]: Simplify (+ 0 0) into 0 1.843 * [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 1.843 * [backup-simplify]: Simplify 0 into 0 1.843 * [backup-simplify]: Simplify (- 0) into 0 1.843 * [backup-simplify]: Simplify (+ 0 0) into 0 1.843 * [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 1.844 * [backup-simplify]: Simplify 0 into 0 1.844 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (/ 1 x)))) (sin (/ 1 (/ 1 x)))) into (/ (- 1.0 (cos x)) (sin x)) 1.844 * [backup-simplify]: Simplify (* (exp (log (- 1.0 (cos (/ 1 (- x)))))) (/ 1 (sin (/ 1 (- x))))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 1.844 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 1.844 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.844 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.844 * [taylor]: Taking taylor expansion of 1.0 in x 1.844 * [backup-simplify]: Simplify 1.0 into 1.0 1.844 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.844 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.844 * [taylor]: Taking taylor expansion of -1 in x 1.844 * [backup-simplify]: Simplify -1 into -1 1.844 * [taylor]: Taking taylor expansion of x in x 1.844 * [backup-simplify]: Simplify 0 into 0 1.844 * [backup-simplify]: Simplify 1 into 1 1.850 * [backup-simplify]: Simplify (/ -1 1) into -1 1.850 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.850 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.850 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.850 * [taylor]: Taking taylor expansion of -1 in x 1.850 * [backup-simplify]: Simplify -1 into -1 1.850 * [taylor]: Taking taylor expansion of x in x 1.850 * [backup-simplify]: Simplify 0 into 0 1.850 * [backup-simplify]: Simplify 1 into 1 1.850 * [backup-simplify]: Simplify (/ -1 1) into -1 1.851 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 1.851 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 1.851 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 1.851 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 1.851 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.851 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.851 * [taylor]: Taking taylor expansion of 1.0 in x 1.851 * [backup-simplify]: Simplify 1.0 into 1.0 1.851 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.851 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.851 * [taylor]: Taking taylor expansion of -1 in x 1.851 * [backup-simplify]: Simplify -1 into -1 1.851 * [taylor]: Taking taylor expansion of x in x 1.851 * [backup-simplify]: Simplify 0 into 0 1.851 * [backup-simplify]: Simplify 1 into 1 1.851 * [backup-simplify]: Simplify (/ -1 1) into -1 1.851 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.851 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.851 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.851 * [taylor]: Taking taylor expansion of -1 in x 1.851 * [backup-simplify]: Simplify -1 into -1 1.851 * [taylor]: Taking taylor expansion of x in x 1.851 * [backup-simplify]: Simplify 0 into 0 1.851 * [backup-simplify]: Simplify 1 into 1 1.852 * [backup-simplify]: Simplify (/ -1 1) into -1 1.852 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 1.852 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 1.852 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 1.852 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 1.852 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 1.852 * [backup-simplify]: Simplify (- 0) into 0 1.853 * [backup-simplify]: Simplify (+ 0 0) into 0 1.853 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))))) into 0 1.853 * [backup-simplify]: Simplify 0 into 0 1.853 * [backup-simplify]: Simplify (- 0) into 0 1.853 * [backup-simplify]: Simplify (+ 0 0) into 0 1.854 * [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 1.854 * [backup-simplify]: Simplify 0 into 0 1.854 * [backup-simplify]: Simplify (- 0) into 0 1.854 * [backup-simplify]: Simplify (+ 0 0) into 0 1.854 * [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 1.854 * [backup-simplify]: Simplify 0 into 0 1.855 * [backup-simplify]: Simplify (- 0) into 0 1.855 * [backup-simplify]: Simplify (+ 0 0) into 0 1.855 * [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 1.855 * [backup-simplify]: Simplify 0 into 0 1.855 * [backup-simplify]: Simplify (- 0) into 0 1.856 * [backup-simplify]: Simplify (+ 0 0) into 0 1.856 * [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 1.856 * [backup-simplify]: Simplify 0 into 0 1.856 * [backup-simplify]: Simplify (- 0) into 0 1.856 * [backup-simplify]: Simplify (+ 0 0) into 0 1.857 * [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 1.857 * [backup-simplify]: Simplify 0 into 0 1.857 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 (/ 1 (- x))))) (sin (/ -1 (/ 1 (- x))))) into (/ (- 1.0 (cos x)) (sin x)) 1.857 * * * [progress]: simplifying candidates 1.859 * [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 (log (- 1.0 (cos x)))) (log1p (log (- 1.0 (cos x)))) (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (log (cbrt (- 1.0 (cos x)))) (log (sqrt (- 1.0 (cos x)))) (log (sqrt (- 1.0 (cos x)))) (log 1) (log (- 1.0 (cos x))) (log (+ (sqrt 1.0) (sqrt (cos x)))) (log (- (sqrt 1.0) (sqrt (cos x)))) (log 1) (log (- 1.0 (cos x))) (log (- (pow 1.0 3) (pow (cos x) 3))) (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (log (- (* 1.0 1.0) (* (cos x) (cos x)))) (log (+ 1.0 (cos x))) (log (- 1.0 (cos x))) (log (log (- 1.0 (cos x)))) (exp (log (- 1.0 (cos x)))) (* (cbrt (log (- 1.0 (cos x)))) (cbrt (log (- 1.0 (cos x))))) (cbrt (log (- 1.0 (cos x)))) (* (* (log (- 1.0 (cos x))) (log (- 1.0 (cos x)))) (log (- 1.0 (cos x)))) (sqrt (log (- 1.0 (cos x)))) (sqrt (log (- 1.0 (cos x)))) (expm1 (exp (log (- 1.0 (cos x))))) (log1p (exp (log (- 1.0 (cos x))))) (exp 1) (exp (* (cbrt (log (- 1.0 (cos x)))) (cbrt (log (- 1.0 (cos x)))))) (exp (sqrt (log (- 1.0 (cos x))))) (exp 1) (exp (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (exp (log (cbrt (- 1.0 (cos x))))) (exp (log (sqrt (- 1.0 (cos x))))) (exp (log (sqrt (- 1.0 (cos x))))) (exp (log 1)) (exp (log (- 1.0 (cos x)))) (exp (log (+ (sqrt 1.0) (sqrt (cos x))))) (exp (log (- (sqrt 1.0) (sqrt (cos x))))) (exp (log 1)) (exp (log (- 1.0 (cos x)))) (exp (log (- (pow 1.0 3) (pow (cos x) 3)))) (exp (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (exp (log (- (* 1.0 1.0) (* (cos x) (cos x))))) (exp (log (+ 1.0 (cos x)))) (log (exp (log (- 1.0 (cos x))))) (exp (exp (log (- 1.0 (cos x))))) (* (cbrt (exp (log (- 1.0 (cos x))))) (cbrt (exp (log (- 1.0 (cos x)))))) (cbrt (exp (log (- 1.0 (cos x))))) (* (* (exp (log (- 1.0 (cos x)))) (exp (log (- 1.0 (cos x))))) (exp (log (- 1.0 (cos x))))) (sqrt (exp (log (- 1.0 (cos x))))) (sqrt (exp (log (- 1.0 (cos x))))) (expm1 (* (exp (log (- 1.0 (cos x)))) (/ 1 (sin x)))) (log1p (* (exp (log (- 1.0 (cos x)))) (/ 1 (sin x)))) (* (exp (log (- 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 (- 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(* 1.0 (cos x)))))) (sin x)) (* (exp (log (- (* 1.0 1.0) (* (cos x) (cos x))))) 1) (* (exp (log (+ 1.0 (cos x)))) (sin x)) (* (exp (log (sqrt (- 1.0 (cos x))))) (sqrt (/ 1 (sin x)))) (* (exp (log (sqrt (- 1.0 (cos x))))) (sqrt (/ 1 (sin x)))) (* (exp (log (sqrt (- 1.0 (cos x))))) (/ (sqrt 1) (sqrt (sin x)))) (* (exp (log (sqrt (- 1.0 (cos x))))) (/ (sqrt 1) (sqrt (sin x)))) (* (exp (log (sqrt (- 1.0 (cos x))))) (/ 1 (sqrt (sin x)))) (* (exp (log (sqrt (- 1.0 (cos x))))) (/ 1 (sqrt (sin x)))) (* (sqrt (exp (log (- 1.0 (cos x))))) (sqrt (/ 1 (sin x)))) (* (sqrt (exp (log (- 1.0 (cos x))))) (sqrt (/ 1 (sin x)))) (* (sqrt (exp (log (- 1.0 (cos x))))) (/ (sqrt 1) (sqrt (sin x)))) (* (sqrt (exp (log (- 1.0 (cos x))))) (/ (sqrt 1) (sqrt (sin x)))) (* (sqrt (exp (log (- 1.0 (cos x))))) (/ 1 (sqrt (sin x)))) (* (sqrt (exp (log (- 1.0 (cos x))))) (/ 1 (sqrt (sin x)))) (* (exp (log (- 1.0 (cos x)))) (* (cbrt (/ 1 (sin x))) (cbrt (/ 1 (sin x))))) (* (exp (log (- 1.0 (cos x)))) (sqrt (/ 1 (sin x)))) (* (exp (log (- 1.0 (cos x)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sin x)) (cbrt (sin x))))) (* (exp (log (- 1.0 (cos x)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sin x)))) (* (exp (log (- 1.0 (cos x)))) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (exp (log (- 1.0 (cos x)))) (/ (sqrt 1) (* (cbrt (sin x)) (cbrt (sin x))))) (* (exp (log (- 1.0 (cos x)))) (/ (sqrt 1) (sqrt (sin x)))) (* (exp (log (- 1.0 (cos x)))) (/ (sqrt 1) 1)) (* (exp (log (- 1.0 (cos x)))) (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (* (exp (log (- 1.0 (cos x)))) (/ 1 (sqrt (sin x)))) (* (exp (log (- 1.0 (cos x)))) (/ 1 1)) (* (exp (log (- 1.0 (cos x)))) 1) (* (exp (log (- 1.0 (cos x)))) 1) (* (exp (log (cbrt (- 1.0 (cos x))))) (/ 1 (sin x))) (* (exp (log (sqrt (- 1.0 (cos x))))) (/ 1 (sin x))) (* (exp (log (- 1.0 (cos x)))) (/ 1 (sin x))) (* (exp (log (- (sqrt 1.0) (sqrt (cos x))))) (/ 1 (sin x))) (* (exp (log (- 1.0 (cos x)))) (/ 1 (sin x))) (* (cbrt (exp (log (- 1.0 (cos x))))) (/ 1 (sin x))) (* (sqrt (exp (log (- 1.0 (cos x))))) (/ 1 (sin x))) (* (exp (log (- 1.0 (cos x)))) (/ 1 (sin x))) (* (exp (log (- 1.0 (cos x)))) 1) (* (exp (log (- (pow 1.0 3) (pow (cos x) 3)))) (/ 1 (sin x))) (* (exp (log (- (* 1.0 1.0) (* (cos x) (cos x))))) (/ 1 (sin x))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 2 (log x)) (log 1/2)) (+ (* 1/12 (pow x 2)) (* 1/1440 (pow x 4)))) (log (- 1.0 (cos x))) (log (- 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)) 1.859 * [simplify]: Sending expressions to egg_math: (fma (* (cbrt h1) (cbrt h1)) (cbrt h1) (- (* (cbrt (cos h0)) (* (cbrt (cos h0)) (cbrt (cos h0)))))) (fma (- (cbrt (cos h0))) (* (cbrt (cos h0)) (cbrt (cos h0))) (* (cbrt (cos h0)) (* (cbrt (cos h0)) (cbrt (cos h0))))) (fma (* (cbrt h1) (cbrt h1)) (cbrt h1) (- (* (sqrt (cos h0)) (sqrt (cos h0))))) 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(log (- (* h1 h1) (* (cos h0) (cos h0)))) (log (+ h1 (cos h0))) (log (- h1 (cos h0))) (log (log (- h1 (cos h0)))) (exp (log (- h1 (cos h0)))) (* (cbrt (log (- h1 (cos h0)))) (cbrt (log (- h1 (cos h0))))) (cbrt (log (- h1 (cos h0)))) (* (* (log (- h1 (cos h0))) (log (- h1 (cos h0)))) (log (- h1 (cos h0)))) (sqrt (log (- h1 (cos h0)))) (sqrt (log (- h1 (cos h0)))) (expm1 (exp (log (- h1 (cos h0))))) (log1p (exp (log (- h1 (cos h0))))) (exp 1) (exp (* (cbrt (log (- h1 (cos h0)))) (cbrt (log (- h1 (cos h0)))))) (exp (sqrt (log (- h1 (cos h0))))) (exp 1) (exp (log (* (cbrt (- h1 (cos h0))) (cbrt (- h1 (cos h0)))))) (exp (log (cbrt (- h1 (cos h0))))) (exp (log (sqrt (- h1 (cos h0))))) (exp (log (sqrt (- h1 (cos h0))))) (exp (log 1)) (exp (log (- h1 (cos h0)))) (exp (log (+ (sqrt h1) (sqrt (cos h0))))) (exp (log (- (sqrt h1) (sqrt (cos h0))))) (exp (log 1)) (exp (log (- h1 (cos h0)))) (exp (log (- (pow h1 3) (pow (cos h0) 3)))) (exp (log (+ (* h1 h1) (+ (* (cos h0) (cos h0)) (* h1 (cos 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(cbrt (sin h0)) (cbrt (sin h0))))) (* (exp (log (- h1 (cos h0)))) (/ (sqrt 1) (sqrt (sin h0)))) (* (exp (log (- h1 (cos h0)))) (/ (sqrt 1) 1)) (* (exp (log (- h1 (cos h0)))) (/ 1 (* (cbrt (sin h0)) (cbrt (sin h0))))) (* (exp (log (- h1 (cos h0)))) (/ 1 (sqrt (sin h0)))) (* (exp (log (- h1 (cos h0)))) (/ 1 1)) (* (exp (log (- h1 (cos h0)))) 1) (* (exp (log (- h1 (cos h0)))) 1) (* (exp (log (cbrt (- h1 (cos h0))))) (/ 1 (sin h0))) (* (exp (log (sqrt (- h1 (cos h0))))) (/ 1 (sin h0))) (* (exp (log (- h1 (cos h0)))) (/ 1 (sin h0))) (* (exp (log (- (sqrt h1) (sqrt (cos h0))))) (/ 1 (sin h0))) (* (exp (log (- h1 (cos h0)))) (/ 1 (sin h0))) (* (cbrt (exp (log (- h1 (cos h0))))) (/ 1 (sin h0))) (* (sqrt (exp (log (- h1 (cos h0))))) (/ 1 (sin h0))) (* (exp (log (- h1 (cos h0)))) (/ 1 (sin h0))) (* (exp (log (- h1 (cos h0)))) 1) (* (exp (log (- (pow h1 3) (pow (cos h0) 3)))) (/ 1 (sin h0))) (* (exp (log (- (* h1 h1) (* (cos h0) (cos h0))))) (/ 1 (sin h0))) (- (+ (* 1/2 (pow h0 2)) (* 1/720 (pow h0 6))) (* 1/24 (pow h0 4))) (- h1 (cos h0)) (- h1 (cos h0)) (- (+ (* 2 (log h0)) (log 1/2)) (+ (* 1/12 (pow h0 2)) (* 1/1440 (pow h0 4)))) (log (- h1 (cos h0))) (log (- h1 (cos h0))) (- (+ (* 1/2 (pow h0 2)) (* 1/720 (pow h0 6))) (* 1/24 (pow h0 4))) (- h1 (cos h0)) (- h1 (cos h0)) (+ (* 1/24 (pow h0 3)) (+ (* 1/240 (pow h0 5)) (* 1/2 h0))) (/ (- h1 (cos h0)) (sin h0)) (/ (- h1 (cos h0)) (sin h0)) 1.865 * * [simplify]: iteration 0 : 446 enodes (cost 893 ) 1.873 * * [simplify]: iteration 1 : 1626 enodes (cost 727 ) 1.904 * * [simplify]: iteration 2 : 5001 enodes (cost 711 ) 1.908 * * * [progress]: adding candidates to table 2.185 * [progress]: [Phase 3 of 3] Extracting. 2.185 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # #) 2.187 * * * [regime-changes]: Trying 2 branch expressions: ((/ (- 1.0 (cos x)) (sin x)) x) 2.187 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (sin x)) from (# # # # # # # # # # # # #) 2.250 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (sin x)) from (# # # # #) 2.279 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # #) 2.343 * * * [regime]: Found split indices: #