40.477 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.115 * * * [progress]: [2/2] Setting up program. 0.118 * [progress]: [Phase 2 of 3] Improving. 0.118 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.118 * [simplify]: Simplifying: (/ (cos (* 2 x)) (* (pow cos 2) (* (* x (pow sin 2)) x))) 0.119 * * [simplify]: iteration 1: (12 enodes) 0.121 * * [simplify]: iteration 2: (28 enodes) 0.125 * * [simplify]: iteration 3: (53 enodes) 0.136 * * [simplify]: iteration 4: (163 enodes) 0.304 * * [simplify]: iteration 5: (447 enodes) 0.531 * * [simplify]: iteration 6: (603 enodes) 0.680 * * [simplify]: iteration 7: (610 enodes) 0.831 * * [simplify]: Extracting #0: cost 1 inf + 0 0.831 * * [simplify]: Extracting #1: cost 5 inf + 0 0.831 * * [simplify]: Extracting #2: cost 33 inf + 0 0.832 * * [simplify]: Extracting #3: cost 24 inf + 455 0.833 * * [simplify]: Extracting #4: cost 6 inf + 2097 0.836 * * [simplify]: Extracting #5: cost 2 inf + 2528 0.839 * * [simplify]: Extracting #6: cost 0 inf + 2854 0.842 * [simplify]: Simplified to: (/ (cos (* 2 x)) (* (* (* sin x) cos) (* (* sin x) cos))) 0.856 * * [progress]: iteration 1 / 4 0.856 * * * [progress]: picking best candidate 0.867 * * * * [pick]: Picked # 0.867 * * * [progress]: localizing error 0.887 * * * [progress]: generating rewritten candidates 0.887 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.904 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.927 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.035 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.144 * * * [progress]: generating series expansions 1.144 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 1.144 * [backup-simplify]: Simplify (* (* sin x) cos) into (* x (* sin cos)) 1.144 * [approximate]: Taking taylor expansion of (* x (* sin cos)) in (sin x cos) around 0 1.144 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in cos 1.144 * [taylor]: Taking taylor expansion of x in cos 1.144 * [backup-simplify]: Simplify x into x 1.144 * [taylor]: Taking taylor expansion of (* sin cos) in cos 1.144 * [taylor]: Taking taylor expansion of sin in cos 1.144 * [backup-simplify]: Simplify sin into sin 1.144 * [taylor]: Taking taylor expansion of cos in cos 1.144 * [backup-simplify]: Simplify 0 into 0 1.144 * [backup-simplify]: Simplify 1 into 1 1.144 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in x 1.144 * [taylor]: Taking taylor expansion of x in x 1.144 * [backup-simplify]: Simplify 0 into 0 1.145 * [backup-simplify]: Simplify 1 into 1 1.145 * [taylor]: Taking taylor expansion of (* sin cos) in x 1.145 * [taylor]: Taking taylor expansion of sin in x 1.145 * [backup-simplify]: Simplify sin into sin 1.145 * [taylor]: Taking taylor expansion of cos in x 1.145 * [backup-simplify]: Simplify cos into cos 1.145 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in sin 1.145 * [taylor]: Taking taylor expansion of x in sin 1.145 * [backup-simplify]: Simplify x into x 1.145 * [taylor]: Taking taylor expansion of (* sin cos) in sin 1.145 * [taylor]: Taking taylor expansion of sin in sin 1.145 * [backup-simplify]: Simplify 0 into 0 1.145 * [backup-simplify]: Simplify 1 into 1 1.145 * [taylor]: Taking taylor expansion of cos in sin 1.145 * [backup-simplify]: Simplify cos into cos 1.145 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in sin 1.145 * [taylor]: Taking taylor expansion of x in sin 1.145 * [backup-simplify]: Simplify x into x 1.145 * [taylor]: Taking taylor expansion of (* sin cos) in sin 1.145 * [taylor]: Taking taylor expansion of sin in sin 1.145 * [backup-simplify]: Simplify 0 into 0 1.145 * [backup-simplify]: Simplify 1 into 1 1.145 * [taylor]: Taking taylor expansion of cos in sin 1.145 * [backup-simplify]: Simplify cos into cos 1.145 * [backup-simplify]: Simplify (* 0 cos) into 0 1.145 * [backup-simplify]: Simplify (* x 0) into 0 1.145 * [taylor]: Taking taylor expansion of 0 in x 1.145 * [backup-simplify]: Simplify 0 into 0 1.145 * [taylor]: Taking taylor expansion of 0 in cos 1.145 * [backup-simplify]: Simplify 0 into 0 1.145 * [backup-simplify]: Simplify 0 into 0 1.146 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 cos)) into cos 1.147 * [backup-simplify]: Simplify (+ (* x cos) (* 0 0)) into (* x cos) 1.147 * [taylor]: Taking taylor expansion of (* x cos) 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 * [taylor]: Taking taylor expansion of cos in x 1.147 * [backup-simplify]: Simplify cos into cos 1.147 * [backup-simplify]: Simplify (* 0 cos) into 0 1.147 * [taylor]: Taking taylor expansion of 0 in cos 1.147 * [backup-simplify]: Simplify 0 into 0 1.147 * [backup-simplify]: Simplify 0 into 0 1.147 * [taylor]: Taking taylor expansion of 0 in cos 1.147 * [backup-simplify]: Simplify 0 into 0 1.147 * [backup-simplify]: Simplify 0 into 0 1.147 * [backup-simplify]: Simplify 0 into 0 1.148 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 1.149 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 cos) (* 0 0))) into 0 1.149 * [taylor]: Taking taylor expansion of 0 in x 1.149 * [backup-simplify]: Simplify 0 into 0 1.149 * [taylor]: Taking taylor expansion of 0 in cos 1.149 * [backup-simplify]: Simplify 0 into 0 1.149 * [backup-simplify]: Simplify 0 into 0 1.149 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 cos)) into cos 1.149 * [taylor]: Taking taylor expansion of cos in cos 1.149 * [backup-simplify]: Simplify 0 into 0 1.149 * [backup-simplify]: Simplify 1 into 1 1.149 * [backup-simplify]: Simplify 0 into 0 1.149 * [backup-simplify]: Simplify 0 into 0 1.150 * [backup-simplify]: Simplify (* (* (/ 1 sin) (/ 1 x)) (/ 1 cos)) into (/ 1 (* x (* sin cos))) 1.150 * [approximate]: Taking taylor expansion of (/ 1 (* x (* sin cos))) in (sin x cos) around 0 1.150 * [taylor]: Taking taylor expansion of (/ 1 (* x (* sin cos))) in cos 1.150 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in cos 1.150 * [taylor]: Taking taylor expansion of x in cos 1.150 * [backup-simplify]: Simplify x into x 1.150 * [taylor]: Taking taylor expansion of (* sin cos) in cos 1.150 * [taylor]: Taking taylor expansion of sin in cos 1.150 * [backup-simplify]: Simplify sin into sin 1.150 * [taylor]: Taking taylor expansion of cos in cos 1.150 * [backup-simplify]: Simplify 0 into 0 1.150 * [backup-simplify]: Simplify 1 into 1 1.150 * [backup-simplify]: Simplify (* sin 0) into 0 1.150 * [backup-simplify]: Simplify (* x 0) into 0 1.150 * [backup-simplify]: Simplify (+ (* sin 1) (* 0 0)) into sin 1.151 * [backup-simplify]: Simplify (+ (* x sin) (* 0 0)) into (* x sin) 1.151 * [backup-simplify]: Simplify (/ 1 (* x sin)) into (/ 1 (* x sin)) 1.151 * [taylor]: Taking taylor expansion of (/ 1 (* x (* sin cos))) in x 1.151 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in x 1.151 * [taylor]: Taking taylor expansion of x in x 1.151 * [backup-simplify]: Simplify 0 into 0 1.151 * [backup-simplify]: Simplify 1 into 1 1.151 * [taylor]: Taking taylor expansion of (* sin cos) in x 1.151 * [taylor]: Taking taylor expansion of sin in x 1.151 * [backup-simplify]: Simplify sin into sin 1.151 * [taylor]: Taking taylor expansion of cos in x 1.151 * [backup-simplify]: Simplify cos into cos 1.151 * [backup-simplify]: Simplify (* sin cos) into (* sin cos) 1.152 * [backup-simplify]: Simplify (* 0 (* sin cos)) into 0 1.152 * [backup-simplify]: Simplify (+ (* sin 0) (* 0 cos)) into 0 1.152 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* sin cos))) into (* sin cos) 1.152 * [backup-simplify]: Simplify (/ 1 (* sin cos)) into (/ 1 (* sin cos)) 1.152 * [taylor]: Taking taylor expansion of (/ 1 (* x (* sin cos))) in sin 1.152 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in sin 1.152 * [taylor]: Taking taylor expansion of x in sin 1.152 * [backup-simplify]: Simplify x into x 1.152 * [taylor]: Taking taylor expansion of (* sin cos) in sin 1.152 * [taylor]: Taking taylor expansion of sin in sin 1.152 * [backup-simplify]: Simplify 0 into 0 1.152 * [backup-simplify]: Simplify 1 into 1 1.152 * [taylor]: Taking taylor expansion of cos in sin 1.152 * [backup-simplify]: Simplify cos into cos 1.153 * [backup-simplify]: Simplify (* 0 cos) into 0 1.153 * [backup-simplify]: Simplify (* x 0) into 0 1.153 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 cos)) into cos 1.153 * [backup-simplify]: Simplify (+ (* x cos) (* 0 0)) into (* x cos) 1.154 * [backup-simplify]: Simplify (/ 1 (* x cos)) into (/ 1 (* x cos)) 1.154 * [taylor]: Taking taylor expansion of (/ 1 (* x (* sin cos))) in sin 1.154 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in sin 1.154 * [taylor]: Taking taylor expansion of x in sin 1.154 * [backup-simplify]: Simplify x into x 1.154 * [taylor]: Taking taylor expansion of (* sin cos) in sin 1.154 * [taylor]: Taking taylor expansion of sin in sin 1.154 * [backup-simplify]: Simplify 0 into 0 1.154 * [backup-simplify]: Simplify 1 into 1 1.154 * [taylor]: Taking taylor expansion of cos in sin 1.154 * [backup-simplify]: Simplify cos into cos 1.154 * [backup-simplify]: Simplify (* 0 cos) into 0 1.154 * [backup-simplify]: Simplify (* x 0) into 0 1.154 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 cos)) into cos 1.155 * [backup-simplify]: Simplify (+ (* x cos) (* 0 0)) into (* x cos) 1.155 * [backup-simplify]: Simplify (/ 1 (* x cos)) into (/ 1 (* x cos)) 1.155 * [taylor]: Taking taylor expansion of (/ 1 (* x cos)) in x 1.155 * [taylor]: Taking taylor expansion of (* x cos) in x 1.155 * [taylor]: Taking taylor expansion of x in x 1.155 * [backup-simplify]: Simplify 0 into 0 1.155 * [backup-simplify]: Simplify 1 into 1 1.155 * [taylor]: Taking taylor expansion of cos in x 1.155 * [backup-simplify]: Simplify cos into cos 1.155 * [backup-simplify]: Simplify (* 0 cos) into 0 1.156 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 cos)) into cos 1.156 * [backup-simplify]: Simplify (/ 1 cos) into (/ 1 cos) 1.156 * [taylor]: Taking taylor expansion of (/ 1 cos) in cos 1.156 * [taylor]: Taking taylor expansion of cos in cos 1.156 * [backup-simplify]: Simplify 0 into 0 1.156 * [backup-simplify]: Simplify 1 into 1 1.156 * [backup-simplify]: Simplify (/ 1 1) into 1 1.156 * [backup-simplify]: Simplify 1 into 1 1.157 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 1.158 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 cos) (* 0 0))) into 0 1.158 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* x cos)) (/ 0 (* x cos))))) into 0 1.158 * [taylor]: Taking taylor expansion of 0 in x 1.158 * [backup-simplify]: Simplify 0 into 0 1.159 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 1.159 * [backup-simplify]: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 1.159 * [taylor]: Taking taylor expansion of 0 in cos 1.159 * [backup-simplify]: Simplify 0 into 0 1.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.160 * [backup-simplify]: Simplify 0 into 0 1.161 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 cos)))) into 0 1.162 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 cos) (* 0 0)))) into 0 1.162 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* x cos)) (/ 0 (* x cos))) (* 0 (/ 0 (* x cos))))) into 0 1.162 * [taylor]: Taking taylor expansion of 0 in x 1.162 * [backup-simplify]: Simplify 0 into 0 1.162 * [taylor]: Taking taylor expansion of 0 in cos 1.162 * [backup-simplify]: Simplify 0 into 0 1.163 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 cos)))) into 0 1.164 * [backup-simplify]: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 1.164 * [taylor]: Taking taylor expansion of 0 in cos 1.164 * [backup-simplify]: Simplify 0 into 0 1.164 * [backup-simplify]: Simplify 0 into 0 1.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.165 * [backup-simplify]: Simplify 0 into 0 1.166 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))) into 0 1.167 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 cos) (* 0 0))))) into 0 1.168 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* x cos)) (/ 0 (* x cos))) (* 0 (/ 0 (* x cos))) (* 0 (/ 0 (* x cos))))) into 0 1.168 * [taylor]: Taking taylor expansion of 0 in x 1.168 * [backup-simplify]: Simplify 0 into 0 1.168 * [taylor]: Taking taylor expansion of 0 in cos 1.168 * [backup-simplify]: Simplify 0 into 0 1.168 * [taylor]: Taking taylor expansion of 0 in cos 1.168 * [backup-simplify]: Simplify 0 into 0 1.170 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))) into 0 1.170 * [backup-simplify]: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 1.170 * [taylor]: Taking taylor expansion of 0 in cos 1.170 * [backup-simplify]: Simplify 0 into 0 1.170 * [backup-simplify]: Simplify 0 into 0 1.170 * [backup-simplify]: Simplify 0 into 0 1.170 * [backup-simplify]: Simplify 0 into 0 1.170 * [backup-simplify]: Simplify (* 1 (* (/ 1 (/ 1 cos)) (* (/ 1 (/ 1 x)) (/ 1 (/ 1 sin))))) into (* x (* cos sin)) 1.171 * [backup-simplify]: Simplify (* (* (/ 1 (- sin)) (/ 1 (- x))) (/ 1 (- cos))) into (/ -1 (* x (* sin cos))) 1.171 * [approximate]: Taking taylor expansion of (/ -1 (* x (* sin cos))) in (sin x cos) around 0 1.171 * [taylor]: Taking taylor expansion of (/ -1 (* x (* sin cos))) in cos 1.171 * [taylor]: Taking taylor expansion of -1 in cos 1.171 * [backup-simplify]: Simplify -1 into -1 1.171 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in cos 1.171 * [taylor]: Taking taylor expansion of x in cos 1.171 * [backup-simplify]: Simplify x into x 1.171 * [taylor]: Taking taylor expansion of (* sin cos) in cos 1.171 * [taylor]: Taking taylor expansion of sin in cos 1.171 * [backup-simplify]: Simplify sin into sin 1.171 * [taylor]: Taking taylor expansion of cos in cos 1.171 * [backup-simplify]: Simplify 0 into 0 1.171 * [backup-simplify]: Simplify 1 into 1 1.171 * [backup-simplify]: Simplify (* sin 0) into 0 1.171 * [backup-simplify]: Simplify (* x 0) into 0 1.171 * [backup-simplify]: Simplify (+ (* sin 1) (* 0 0)) into sin 1.172 * [backup-simplify]: Simplify (+ (* x sin) (* 0 0)) into (* x sin) 1.172 * [backup-simplify]: Simplify (/ -1 (* x sin)) into (/ -1 (* x sin)) 1.172 * [taylor]: Taking taylor expansion of (/ -1 (* x (* sin cos))) in x 1.172 * [taylor]: Taking taylor expansion of -1 in x 1.172 * [backup-simplify]: Simplify -1 into -1 1.172 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in x 1.172 * [taylor]: Taking taylor expansion of x in x 1.172 * [backup-simplify]: Simplify 0 into 0 1.172 * [backup-simplify]: Simplify 1 into 1 1.172 * [taylor]: Taking taylor expansion of (* sin cos) in x 1.172 * [taylor]: Taking taylor expansion of sin in x 1.172 * [backup-simplify]: Simplify sin into sin 1.172 * [taylor]: Taking taylor expansion of cos in x 1.172 * [backup-simplify]: Simplify cos into cos 1.172 * [backup-simplify]: Simplify (* sin cos) into (* sin cos) 1.173 * [backup-simplify]: Simplify (* 0 (* sin cos)) into 0 1.173 * [backup-simplify]: Simplify (+ (* sin 0) (* 0 cos)) into 0 1.173 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* sin cos))) into (* sin cos) 1.173 * [backup-simplify]: Simplify (/ -1 (* sin cos)) into (/ -1 (* sin cos)) 1.173 * [taylor]: Taking taylor expansion of (/ -1 (* x (* sin cos))) in sin 1.173 * [taylor]: Taking taylor expansion of -1 in sin 1.173 * [backup-simplify]: Simplify -1 into -1 1.173 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in sin 1.173 * [taylor]: Taking taylor expansion of x in sin 1.173 * [backup-simplify]: Simplify x into x 1.173 * [taylor]: Taking taylor expansion of (* sin cos) in sin 1.173 * [taylor]: Taking taylor expansion of sin in sin 1.173 * [backup-simplify]: Simplify 0 into 0 1.173 * [backup-simplify]: Simplify 1 into 1 1.173 * [taylor]: Taking taylor expansion of cos in sin 1.174 * [backup-simplify]: Simplify cos into cos 1.174 * [backup-simplify]: Simplify (* 0 cos) into 0 1.174 * [backup-simplify]: Simplify (* x 0) into 0 1.174 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 cos)) into cos 1.175 * [backup-simplify]: Simplify (+ (* x cos) (* 0 0)) into (* x cos) 1.175 * [backup-simplify]: Simplify (/ -1 (* x cos)) into (/ -1 (* x cos)) 1.175 * [taylor]: Taking taylor expansion of (/ -1 (* x (* sin cos))) in sin 1.175 * [taylor]: Taking taylor expansion of -1 in sin 1.175 * [backup-simplify]: Simplify -1 into -1 1.175 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in sin 1.175 * [taylor]: Taking taylor expansion of x in sin 1.175 * [backup-simplify]: Simplify x into x 1.175 * [taylor]: Taking taylor expansion of (* sin cos) in sin 1.175 * [taylor]: Taking taylor expansion of sin in sin 1.175 * [backup-simplify]: Simplify 0 into 0 1.175 * [backup-simplify]: Simplify 1 into 1 1.175 * [taylor]: Taking taylor expansion of cos in sin 1.175 * [backup-simplify]: Simplify cos into cos 1.175 * [backup-simplify]: Simplify (* 0 cos) into 0 1.175 * [backup-simplify]: Simplify (* x 0) into 0 1.175 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 cos)) into cos 1.176 * [backup-simplify]: Simplify (+ (* x cos) (* 0 0)) into (* x cos) 1.176 * [backup-simplify]: Simplify (/ -1 (* x cos)) into (/ -1 (* x cos)) 1.176 * [taylor]: Taking taylor expansion of (/ -1 (* x cos)) in x 1.176 * [taylor]: Taking taylor expansion of -1 in x 1.176 * [backup-simplify]: Simplify -1 into -1 1.176 * [taylor]: Taking taylor expansion of (* x cos) in x 1.176 * [taylor]: Taking taylor expansion of x in x 1.176 * [backup-simplify]: Simplify 0 into 0 1.176 * [backup-simplify]: Simplify 1 into 1 1.176 * [taylor]: Taking taylor expansion of cos in x 1.176 * [backup-simplify]: Simplify cos into cos 1.176 * [backup-simplify]: Simplify (* 0 cos) into 0 1.177 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 cos)) into cos 1.177 * [backup-simplify]: Simplify (/ -1 cos) into (/ -1 cos) 1.177 * [taylor]: Taking taylor expansion of (/ -1 cos) in cos 1.177 * [taylor]: Taking taylor expansion of -1 in cos 1.177 * [backup-simplify]: Simplify -1 into -1 1.177 * [taylor]: Taking taylor expansion of cos in cos 1.177 * [backup-simplify]: Simplify 0 into 0 1.177 * [backup-simplify]: Simplify 1 into 1 1.178 * [backup-simplify]: Simplify (/ -1 1) into -1 1.178 * [backup-simplify]: Simplify -1 into -1 1.178 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 1.179 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 cos) (* 0 0))) into 0 1.179 * [backup-simplify]: Simplify (- (/ 0 (* x cos)) (+ (* (/ -1 (* x cos)) (/ 0 (* x cos))))) into 0 1.179 * [taylor]: Taking taylor expansion of 0 in x 1.179 * [backup-simplify]: Simplify 0 into 0 1.180 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 1.180 * [backup-simplify]: Simplify (- (/ 0 cos) (+ (* (/ -1 cos) (/ 0 cos)))) into 0 1.180 * [taylor]: Taking taylor expansion of 0 in cos 1.180 * [backup-simplify]: Simplify 0 into 0 1.181 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.181 * [backup-simplify]: Simplify 0 into 0 1.183 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 cos)))) into 0 1.183 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 cos) (* 0 0)))) into 0 1.184 * [backup-simplify]: Simplify (- (/ 0 (* x cos)) (+ (* (/ -1 (* x cos)) (/ 0 (* x cos))) (* 0 (/ 0 (* x cos))))) into 0 1.184 * [taylor]: Taking taylor expansion of 0 in x 1.184 * [backup-simplify]: Simplify 0 into 0 1.184 * [taylor]: Taking taylor expansion of 0 in cos 1.184 * [backup-simplify]: Simplify 0 into 0 1.185 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 cos)))) into 0 1.185 * [backup-simplify]: Simplify (- (/ 0 cos) (+ (* (/ -1 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 1.185 * [taylor]: Taking taylor expansion of 0 in cos 1.185 * [backup-simplify]: Simplify 0 into 0 1.185 * [backup-simplify]: Simplify 0 into 0 1.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.186 * [backup-simplify]: Simplify 0 into 0 1.188 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))) into 0 1.189 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 cos) (* 0 0))))) into 0 1.190 * [backup-simplify]: Simplify (- (/ 0 (* x cos)) (+ (* (/ -1 (* x cos)) (/ 0 (* x cos))) (* 0 (/ 0 (* x cos))) (* 0 (/ 0 (* x cos))))) into 0 1.190 * [taylor]: Taking taylor expansion of 0 in x 1.190 * [backup-simplify]: Simplify 0 into 0 1.190 * [taylor]: Taking taylor expansion of 0 in cos 1.190 * [backup-simplify]: Simplify 0 into 0 1.190 * [taylor]: Taking taylor expansion of 0 in cos 1.190 * [backup-simplify]: Simplify 0 into 0 1.192 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))) into 0 1.192 * [backup-simplify]: Simplify (- (/ 0 cos) (+ (* (/ -1 cos) (/ 0 cos)) (* 0 (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 1.192 * [taylor]: Taking taylor expansion of 0 in cos 1.192 * [backup-simplify]: Simplify 0 into 0 1.192 * [backup-simplify]: Simplify 0 into 0 1.192 * [backup-simplify]: Simplify 0 into 0 1.192 * [backup-simplify]: Simplify 0 into 0 1.193 * [backup-simplify]: Simplify (* -1 (* (/ 1 (/ 1 (- cos))) (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- sin)))))) into (* x (* cos sin)) 1.193 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.193 * [backup-simplify]: Simplify (* (* sin x) cos) into (* x (* sin cos)) 1.193 * [approximate]: Taking taylor expansion of (* x (* sin cos)) in (sin x cos) around 0 1.193 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in cos 1.193 * [taylor]: Taking taylor expansion of x in cos 1.193 * [backup-simplify]: Simplify x into x 1.193 * [taylor]: Taking taylor expansion of (* sin cos) in cos 1.193 * [taylor]: Taking taylor expansion of sin in cos 1.193 * [backup-simplify]: Simplify sin into sin 1.193 * [taylor]: Taking taylor expansion of cos in cos 1.193 * [backup-simplify]: Simplify 0 into 0 1.193 * [backup-simplify]: Simplify 1 into 1 1.193 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in x 1.193 * [taylor]: Taking taylor expansion of x in x 1.193 * [backup-simplify]: Simplify 0 into 0 1.193 * [backup-simplify]: Simplify 1 into 1 1.193 * [taylor]: Taking taylor expansion of (* sin cos) in x 1.193 * [taylor]: Taking taylor expansion of sin in x 1.193 * [backup-simplify]: Simplify sin into sin 1.193 * [taylor]: Taking taylor expansion of cos in x 1.193 * [backup-simplify]: Simplify cos into cos 1.193 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in sin 1.193 * [taylor]: Taking taylor expansion of x in sin 1.193 * [backup-simplify]: Simplify x into x 1.193 * [taylor]: Taking taylor expansion of (* sin cos) in sin 1.193 * [taylor]: Taking taylor expansion of sin in sin 1.193 * [backup-simplify]: Simplify 0 into 0 1.193 * [backup-simplify]: Simplify 1 into 1 1.193 * [taylor]: Taking taylor expansion of cos in sin 1.194 * [backup-simplify]: Simplify cos into cos 1.194 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in sin 1.194 * [taylor]: Taking taylor expansion of x in sin 1.194 * [backup-simplify]: Simplify x into x 1.194 * [taylor]: Taking taylor expansion of (* sin cos) in sin 1.194 * [taylor]: Taking taylor expansion of sin in sin 1.194 * [backup-simplify]: Simplify 0 into 0 1.194 * [backup-simplify]: Simplify 1 into 1 1.194 * [taylor]: Taking taylor expansion of cos in sin 1.194 * [backup-simplify]: Simplify cos into cos 1.194 * [backup-simplify]: Simplify (* 0 cos) into 0 1.194 * [backup-simplify]: Simplify (* x 0) into 0 1.194 * [taylor]: Taking taylor expansion of 0 in x 1.194 * [backup-simplify]: Simplify 0 into 0 1.194 * [taylor]: Taking taylor expansion of 0 in cos 1.194 * [backup-simplify]: Simplify 0 into 0 1.194 * [backup-simplify]: Simplify 0 into 0 1.195 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 cos)) into cos 1.195 * [backup-simplify]: Simplify (+ (* x cos) (* 0 0)) into (* x cos) 1.195 * [taylor]: Taking taylor expansion of (* x cos) in x 1.195 * [taylor]: Taking taylor expansion of x in x 1.195 * [backup-simplify]: Simplify 0 into 0 1.195 * [backup-simplify]: Simplify 1 into 1 1.195 * [taylor]: Taking taylor expansion of cos in x 1.195 * [backup-simplify]: Simplify cos into cos 1.195 * [backup-simplify]: Simplify (* 0 cos) into 0 1.195 * [taylor]: Taking taylor expansion of 0 in cos 1.195 * [backup-simplify]: Simplify 0 into 0 1.195 * [backup-simplify]: Simplify 0 into 0 1.195 * [taylor]: Taking taylor expansion of 0 in cos 1.195 * [backup-simplify]: Simplify 0 into 0 1.195 * [backup-simplify]: Simplify 0 into 0 1.196 * [backup-simplify]: Simplify 0 into 0 1.196 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 1.197 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 cos) (* 0 0))) into 0 1.197 * [taylor]: Taking taylor expansion of 0 in x 1.197 * [backup-simplify]: Simplify 0 into 0 1.197 * [taylor]: Taking taylor expansion of 0 in cos 1.197 * [backup-simplify]: Simplify 0 into 0 1.197 * [backup-simplify]: Simplify 0 into 0 1.197 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 cos)) into cos 1.197 * [taylor]: Taking taylor expansion of cos in cos 1.198 * [backup-simplify]: Simplify 0 into 0 1.198 * [backup-simplify]: Simplify 1 into 1 1.198 * [backup-simplify]: Simplify 0 into 0 1.198 * [backup-simplify]: Simplify 0 into 0 1.198 * [backup-simplify]: Simplify (* (* (/ 1 sin) (/ 1 x)) (/ 1 cos)) into (/ 1 (* x (* sin cos))) 1.198 * [approximate]: Taking taylor expansion of (/ 1 (* x (* sin cos))) in (sin x cos) around 0 1.198 * [taylor]: Taking taylor expansion of (/ 1 (* x (* sin cos))) in cos 1.198 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in cos 1.198 * [taylor]: Taking taylor expansion of x in cos 1.198 * [backup-simplify]: Simplify x into x 1.198 * [taylor]: Taking taylor expansion of (* sin cos) in cos 1.198 * [taylor]: Taking taylor expansion of sin in cos 1.198 * [backup-simplify]: Simplify sin into sin 1.198 * [taylor]: Taking taylor expansion of cos in cos 1.198 * [backup-simplify]: Simplify 0 into 0 1.198 * [backup-simplify]: Simplify 1 into 1 1.198 * [backup-simplify]: Simplify (* sin 0) into 0 1.198 * [backup-simplify]: Simplify (* x 0) into 0 1.199 * [backup-simplify]: Simplify (+ (* sin 1) (* 0 0)) into sin 1.199 * [backup-simplify]: Simplify (+ (* x sin) (* 0 0)) into (* x sin) 1.199 * [backup-simplify]: Simplify (/ 1 (* x sin)) into (/ 1 (* x sin)) 1.199 * [taylor]: Taking taylor expansion of (/ 1 (* x (* sin cos))) in x 1.199 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in x 1.199 * [taylor]: Taking taylor expansion of x in x 1.199 * [backup-simplify]: Simplify 0 into 0 1.199 * [backup-simplify]: Simplify 1 into 1 1.199 * [taylor]: Taking taylor expansion of (* sin cos) in x 1.199 * [taylor]: Taking taylor expansion of sin in x 1.199 * [backup-simplify]: Simplify sin into sin 1.199 * [taylor]: Taking taylor expansion of cos in x 1.199 * [backup-simplify]: Simplify cos into cos 1.200 * [backup-simplify]: Simplify (* sin cos) into (* sin cos) 1.200 * [backup-simplify]: Simplify (* 0 (* sin cos)) into 0 1.200 * [backup-simplify]: Simplify (+ (* sin 0) (* 0 cos)) into 0 1.200 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* sin cos))) into (* sin cos) 1.200 * [backup-simplify]: Simplify (/ 1 (* sin cos)) into (/ 1 (* sin cos)) 1.200 * [taylor]: Taking taylor expansion of (/ 1 (* x (* sin cos))) in sin 1.200 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in sin 1.200 * [taylor]: Taking taylor expansion of x in sin 1.200 * [backup-simplify]: Simplify x into x 1.200 * [taylor]: Taking taylor expansion of (* sin cos) in sin 1.200 * [taylor]: Taking taylor expansion of sin in sin 1.200 * [backup-simplify]: Simplify 0 into 0 1.200 * [backup-simplify]: Simplify 1 into 1 1.201 * [taylor]: Taking taylor expansion of cos in sin 1.201 * [backup-simplify]: Simplify cos into cos 1.201 * [backup-simplify]: Simplify (* 0 cos) into 0 1.201 * [backup-simplify]: Simplify (* x 0) into 0 1.201 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 cos)) into cos 1.201 * [backup-simplify]: Simplify (+ (* x cos) (* 0 0)) into (* x cos) 1.202 * [backup-simplify]: Simplify (/ 1 (* x cos)) into (/ 1 (* x cos)) 1.202 * [taylor]: Taking taylor expansion of (/ 1 (* x (* sin cos))) in sin 1.202 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in sin 1.202 * [taylor]: Taking taylor expansion of x in sin 1.202 * [backup-simplify]: Simplify x into x 1.202 * [taylor]: Taking taylor expansion of (* sin cos) in sin 1.202 * [taylor]: Taking taylor expansion of sin in sin 1.202 * [backup-simplify]: Simplify 0 into 0 1.202 * [backup-simplify]: Simplify 1 into 1 1.202 * [taylor]: Taking taylor expansion of cos in sin 1.202 * [backup-simplify]: Simplify cos into cos 1.202 * [backup-simplify]: Simplify (* 0 cos) into 0 1.202 * [backup-simplify]: Simplify (* x 0) into 0 1.202 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 cos)) into cos 1.203 * [backup-simplify]: Simplify (+ (* x cos) (* 0 0)) into (* x cos) 1.203 * [backup-simplify]: Simplify (/ 1 (* x cos)) into (/ 1 (* x cos)) 1.203 * [taylor]: Taking taylor expansion of (/ 1 (* x cos)) in x 1.203 * [taylor]: Taking taylor expansion of (* x cos) in x 1.203 * [taylor]: Taking taylor expansion of x in x 1.203 * [backup-simplify]: Simplify 0 into 0 1.203 * [backup-simplify]: Simplify 1 into 1 1.203 * [taylor]: Taking taylor expansion of cos in x 1.203 * [backup-simplify]: Simplify cos into cos 1.203 * [backup-simplify]: Simplify (* 0 cos) into 0 1.204 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 cos)) into cos 1.204 * [backup-simplify]: Simplify (/ 1 cos) into (/ 1 cos) 1.204 * [taylor]: Taking taylor expansion of (/ 1 cos) in cos 1.204 * [taylor]: Taking taylor expansion of cos in cos 1.204 * [backup-simplify]: Simplify 0 into 0 1.204 * [backup-simplify]: Simplify 1 into 1 1.204 * [backup-simplify]: Simplify (/ 1 1) into 1 1.204 * [backup-simplify]: Simplify 1 into 1 1.205 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 1.205 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 cos) (* 0 0))) into 0 1.206 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* x cos)) (/ 0 (* x cos))))) into 0 1.206 * [taylor]: Taking taylor expansion of 0 in x 1.206 * [backup-simplify]: Simplify 0 into 0 1.206 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 1.207 * [backup-simplify]: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 1.207 * [taylor]: Taking taylor expansion of 0 in cos 1.207 * [backup-simplify]: Simplify 0 into 0 1.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.207 * [backup-simplify]: Simplify 0 into 0 1.209 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 cos)))) into 0 1.209 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 cos) (* 0 0)))) into 0 1.210 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* x cos)) (/ 0 (* x cos))) (* 0 (/ 0 (* x cos))))) into 0 1.210 * [taylor]: Taking taylor expansion of 0 in x 1.210 * [backup-simplify]: Simplify 0 into 0 1.210 * [taylor]: Taking taylor expansion of 0 in cos 1.210 * [backup-simplify]: Simplify 0 into 0 1.211 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 cos)))) into 0 1.211 * [backup-simplify]: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 1.211 * [taylor]: Taking taylor expansion of 0 in cos 1.211 * [backup-simplify]: Simplify 0 into 0 1.211 * [backup-simplify]: Simplify 0 into 0 1.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.212 * [backup-simplify]: Simplify 0 into 0 1.214 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))) into 0 1.215 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 cos) (* 0 0))))) into 0 1.215 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* x cos)) (/ 0 (* x cos))) (* 0 (/ 0 (* x cos))) (* 0 (/ 0 (* x cos))))) into 0 1.215 * [taylor]: Taking taylor expansion of 0 in x 1.215 * [backup-simplify]: Simplify 0 into 0 1.215 * [taylor]: Taking taylor expansion of 0 in cos 1.215 * [backup-simplify]: Simplify 0 into 0 1.215 * [taylor]: Taking taylor expansion of 0 in cos 1.216 * [backup-simplify]: Simplify 0 into 0 1.217 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))) into 0 1.217 * [backup-simplify]: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 1.217 * [taylor]: Taking taylor expansion of 0 in cos 1.217 * [backup-simplify]: Simplify 0 into 0 1.217 * [backup-simplify]: Simplify 0 into 0 1.217 * [backup-simplify]: Simplify 0 into 0 1.217 * [backup-simplify]: Simplify 0 into 0 1.218 * [backup-simplify]: Simplify (* 1 (* (/ 1 (/ 1 cos)) (* (/ 1 (/ 1 x)) (/ 1 (/ 1 sin))))) into (* x (* cos sin)) 1.218 * [backup-simplify]: Simplify (* (* (/ 1 (- sin)) (/ 1 (- x))) (/ 1 (- cos))) into (/ -1 (* x (* sin cos))) 1.218 * [approximate]: Taking taylor expansion of (/ -1 (* x (* sin cos))) in (sin x cos) around 0 1.218 * [taylor]: Taking taylor expansion of (/ -1 (* x (* sin cos))) in cos 1.218 * [taylor]: Taking taylor expansion of -1 in cos 1.218 * [backup-simplify]: Simplify -1 into -1 1.218 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in cos 1.218 * [taylor]: Taking taylor expansion of x in cos 1.218 * [backup-simplify]: Simplify x into x 1.218 * [taylor]: Taking taylor expansion of (* sin cos) in cos 1.218 * [taylor]: Taking taylor expansion of sin in cos 1.218 * [backup-simplify]: Simplify sin into sin 1.218 * [taylor]: Taking taylor expansion of cos in cos 1.218 * [backup-simplify]: Simplify 0 into 0 1.218 * [backup-simplify]: Simplify 1 into 1 1.218 * [backup-simplify]: Simplify (* sin 0) into 0 1.218 * [backup-simplify]: Simplify (* x 0) into 0 1.219 * [backup-simplify]: Simplify (+ (* sin 1) (* 0 0)) into sin 1.219 * [backup-simplify]: Simplify (+ (* x sin) (* 0 0)) into (* x sin) 1.219 * [backup-simplify]: Simplify (/ -1 (* x sin)) into (/ -1 (* x sin)) 1.219 * [taylor]: Taking taylor expansion of (/ -1 (* x (* sin cos))) in x 1.219 * [taylor]: Taking taylor expansion of -1 in x 1.219 * [backup-simplify]: Simplify -1 into -1 1.219 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in x 1.219 * [taylor]: Taking taylor expansion of x in x 1.219 * [backup-simplify]: Simplify 0 into 0 1.219 * [backup-simplify]: Simplify 1 into 1 1.219 * [taylor]: Taking taylor expansion of (* sin cos) in x 1.219 * [taylor]: Taking taylor expansion of sin in x 1.219 * [backup-simplify]: Simplify sin into sin 1.219 * [taylor]: Taking taylor expansion of cos in x 1.220 * [backup-simplify]: Simplify cos into cos 1.220 * [backup-simplify]: Simplify (* sin cos) into (* sin cos) 1.220 * [backup-simplify]: Simplify (* 0 (* sin cos)) into 0 1.220 * [backup-simplify]: Simplify (+ (* sin 0) (* 0 cos)) into 0 1.220 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* sin cos))) into (* sin cos) 1.220 * [backup-simplify]: Simplify (/ -1 (* sin cos)) into (/ -1 (* sin cos)) 1.220 * [taylor]: Taking taylor expansion of (/ -1 (* x (* sin cos))) in sin 1.220 * [taylor]: Taking taylor expansion of -1 in sin 1.220 * [backup-simplify]: Simplify -1 into -1 1.220 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in sin 1.220 * [taylor]: Taking taylor expansion of x in sin 1.220 * [backup-simplify]: Simplify x into x 1.220 * [taylor]: Taking taylor expansion of (* sin cos) in sin 1.220 * [taylor]: Taking taylor expansion of sin in sin 1.220 * [backup-simplify]: Simplify 0 into 0 1.221 * [backup-simplify]: Simplify 1 into 1 1.221 * [taylor]: Taking taylor expansion of cos in sin 1.221 * [backup-simplify]: Simplify cos into cos 1.221 * [backup-simplify]: Simplify (* 0 cos) into 0 1.221 * [backup-simplify]: Simplify (* x 0) into 0 1.221 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 cos)) into cos 1.221 * [backup-simplify]: Simplify (+ (* x cos) (* 0 0)) into (* x cos) 1.222 * [backup-simplify]: Simplify (/ -1 (* x cos)) into (/ -1 (* x cos)) 1.222 * [taylor]: Taking taylor expansion of (/ -1 (* x (* sin cos))) in sin 1.222 * [taylor]: Taking taylor expansion of -1 in sin 1.222 * [backup-simplify]: Simplify -1 into -1 1.222 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in sin 1.222 * [taylor]: Taking taylor expansion of x in sin 1.222 * [backup-simplify]: Simplify x into x 1.222 * [taylor]: Taking taylor expansion of (* sin cos) in sin 1.222 * [taylor]: Taking taylor expansion of sin in sin 1.222 * [backup-simplify]: Simplify 0 into 0 1.222 * [backup-simplify]: Simplify 1 into 1 1.222 * [taylor]: Taking taylor expansion of cos in sin 1.222 * [backup-simplify]: Simplify cos into cos 1.222 * [backup-simplify]: Simplify (* 0 cos) into 0 1.222 * [backup-simplify]: Simplify (* x 0) into 0 1.222 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 cos)) into cos 1.223 * [backup-simplify]: Simplify (+ (* x cos) (* 0 0)) into (* x cos) 1.223 * [backup-simplify]: Simplify (/ -1 (* x cos)) into (/ -1 (* x cos)) 1.223 * [taylor]: Taking taylor expansion of (/ -1 (* x cos)) in x 1.223 * [taylor]: Taking taylor expansion of -1 in x 1.223 * [backup-simplify]: Simplify -1 into -1 1.223 * [taylor]: Taking taylor expansion of (* x cos) in x 1.223 * [taylor]: Taking taylor expansion of x in x 1.223 * [backup-simplify]: Simplify 0 into 0 1.223 * [backup-simplify]: Simplify 1 into 1 1.223 * [taylor]: Taking taylor expansion of cos in x 1.223 * [backup-simplify]: Simplify cos into cos 1.223 * [backup-simplify]: Simplify (* 0 cos) into 0 1.224 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 cos)) into cos 1.224 * [backup-simplify]: Simplify (/ -1 cos) into (/ -1 cos) 1.224 * [taylor]: Taking taylor expansion of (/ -1 cos) in cos 1.224 * [taylor]: Taking taylor expansion of -1 in cos 1.224 * [backup-simplify]: Simplify -1 into -1 1.224 * [taylor]: Taking taylor expansion of cos in cos 1.224 * [backup-simplify]: Simplify 0 into 0 1.224 * [backup-simplify]: Simplify 1 into 1 1.224 * [backup-simplify]: Simplify (/ -1 1) into -1 1.224 * [backup-simplify]: Simplify -1 into -1 1.225 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 1.226 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 cos) (* 0 0))) into 0 1.226 * [backup-simplify]: Simplify (- (/ 0 (* x cos)) (+ (* (/ -1 (* x cos)) (/ 0 (* x cos))))) into 0 1.226 * [taylor]: Taking taylor expansion of 0 in x 1.226 * [backup-simplify]: Simplify 0 into 0 1.227 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 1.227 * [backup-simplify]: Simplify (- (/ 0 cos) (+ (* (/ -1 cos) (/ 0 cos)))) into 0 1.227 * [taylor]: Taking taylor expansion of 0 in cos 1.227 * [backup-simplify]: Simplify 0 into 0 1.228 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.228 * [backup-simplify]: Simplify 0 into 0 1.229 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 cos)))) into 0 1.230 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 cos) (* 0 0)))) into 0 1.230 * [backup-simplify]: Simplify (- (/ 0 (* x cos)) (+ (* (/ -1 (* x cos)) (/ 0 (* x cos))) (* 0 (/ 0 (* x cos))))) into 0 1.230 * [taylor]: Taking taylor expansion of 0 in x 1.230 * [backup-simplify]: Simplify 0 into 0 1.230 * [taylor]: Taking taylor expansion of 0 in cos 1.230 * [backup-simplify]: Simplify 0 into 0 1.231 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 cos)))) into 0 1.231 * [backup-simplify]: Simplify (- (/ 0 cos) (+ (* (/ -1 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 1.231 * [taylor]: Taking taylor expansion of 0 in cos 1.232 * [backup-simplify]: Simplify 0 into 0 1.232 * [backup-simplify]: Simplify 0 into 0 1.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.233 * [backup-simplify]: Simplify 0 into 0 1.234 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))) into 0 1.235 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 cos) (* 0 0))))) into 0 1.236 * [backup-simplify]: Simplify (- (/ 0 (* x cos)) (+ (* (/ -1 (* x cos)) (/ 0 (* x cos))) (* 0 (/ 0 (* x cos))) (* 0 (/ 0 (* x cos))))) into 0 1.236 * [taylor]: Taking taylor expansion of 0 in x 1.236 * [backup-simplify]: Simplify 0 into 0 1.236 * [taylor]: Taking taylor expansion of 0 in cos 1.236 * [backup-simplify]: Simplify 0 into 0 1.236 * [taylor]: Taking taylor expansion of 0 in cos 1.236 * [backup-simplify]: Simplify 0 into 0 1.237 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))) into 0 1.238 * [backup-simplify]: Simplify (- (/ 0 cos) (+ (* (/ -1 cos) (/ 0 cos)) (* 0 (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 1.238 * [taylor]: Taking taylor expansion of 0 in cos 1.238 * [backup-simplify]: Simplify 0 into 0 1.238 * [backup-simplify]: Simplify 0 into 0 1.238 * [backup-simplify]: Simplify 0 into 0 1.238 * [backup-simplify]: Simplify 0 into 0 1.238 * [backup-simplify]: Simplify (* -1 (* (/ 1 (/ 1 (- cos))) (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- sin)))))) into (* x (* cos sin)) 1.238 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.238 * [backup-simplify]: Simplify (/ (cos (* 2 x)) (* (* (* sin x) cos) (* (* sin x) cos))) into (/ (cos (* 2 x)) (* (pow cos 2) (* (pow x 2) (pow sin 2)))) 1.238 * [approximate]: Taking taylor expansion of (/ (cos (* 2 x)) (* (pow cos 2) (* (pow x 2) (pow sin 2)))) in (x sin cos) around 0 1.238 * [taylor]: Taking taylor expansion of (/ (cos (* 2 x)) (* (pow cos 2) (* (pow x 2) (pow sin 2)))) in cos 1.238 * [taylor]: Taking taylor expansion of (cos (* 2 x)) in cos 1.239 * [taylor]: Taking taylor expansion of (* 2 x) in cos 1.239 * [taylor]: Taking taylor expansion of 2 in cos 1.239 * [backup-simplify]: Simplify 2 into 2 1.239 * [taylor]: Taking taylor expansion of x in cos 1.239 * [backup-simplify]: Simplify x into x 1.239 * [backup-simplify]: Simplify (* 2 x) into (* 2 x) 1.239 * [backup-simplify]: Simplify (cos (* 2 x)) into (cos (* 2 x)) 1.239 * [backup-simplify]: Simplify (sin (* 2 x)) into (sin (* 2 x)) 1.239 * [taylor]: Taking taylor expansion of (* (pow cos 2) (* (pow x 2) (pow sin 2))) in cos 1.239 * [taylor]: Taking taylor expansion of (pow cos 2) in cos 1.239 * [taylor]: Taking taylor expansion of cos in cos 1.239 * [backup-simplify]: Simplify 0 into 0 1.239 * [backup-simplify]: Simplify 1 into 1 1.239 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow sin 2)) in cos 1.239 * [taylor]: Taking taylor expansion of (pow x 2) in cos 1.239 * [taylor]: Taking taylor expansion of x in cos 1.239 * [backup-simplify]: Simplify x into x 1.239 * [taylor]: Taking taylor expansion of (pow sin 2) in cos 1.239 * [taylor]: Taking taylor expansion of sin in cos 1.239 * [backup-simplify]: Simplify sin into sin 1.239 * [backup-simplify]: Simplify (* (cos (* 2 x)) 1) into (cos (* 2 x)) 1.239 * [backup-simplify]: Simplify (* (sin (* 2 x)) 0) into 0 1.240 * [backup-simplify]: Simplify (- 0) into 0 1.240 * [backup-simplify]: Simplify (+ (cos (* 2 x)) 0) into (cos (* 2 x)) 1.240 * [backup-simplify]: Simplify (* 1 1) into 1 1.241 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.241 * [backup-simplify]: Simplify (* sin sin) into (pow sin 2) 1.241 * [backup-simplify]: Simplify (* (pow x 2) (pow sin 2)) into (* (pow x 2) (pow sin 2)) 1.241 * [backup-simplify]: Simplify (* 1 (* (pow x 2) (pow sin 2))) into (* (pow x 2) (pow sin 2)) 1.241 * [backup-simplify]: Simplify (/ (cos (* 2 x)) (* (pow x 2) (pow sin 2))) into (/ (cos (* 2 x)) (* (pow x 2) (pow sin 2))) 1.241 * [taylor]: Taking taylor expansion of (/ (cos (* 2 x)) (* (pow cos 2) (* (pow x 2) (pow sin 2)))) in sin 1.241 * [taylor]: Taking taylor expansion of (cos (* 2 x)) in sin 1.241 * [taylor]: Taking taylor expansion of (* 2 x) in sin 1.241 * [taylor]: Taking taylor expansion of 2 in sin 1.241 * [backup-simplify]: Simplify 2 into 2 1.241 * [taylor]: Taking taylor expansion of x in sin 1.241 * [backup-simplify]: Simplify x into x 1.241 * [backup-simplify]: Simplify (* 2 x) into (* 2 x) 1.241 * [backup-simplify]: Simplify (cos (* 2 x)) into (cos (* 2 x)) 1.241 * [backup-simplify]: Simplify (sin (* 2 x)) into (sin (* 2 x)) 1.241 * [taylor]: Taking taylor expansion of (* (pow cos 2) (* (pow x 2) (pow sin 2))) in sin 1.242 * [taylor]: Taking taylor expansion of (pow cos 2) in sin 1.242 * [taylor]: Taking taylor expansion of cos in sin 1.242 * [backup-simplify]: Simplify cos into cos 1.242 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow sin 2)) in sin 1.242 * [taylor]: Taking taylor expansion of (pow x 2) in sin 1.242 * [taylor]: Taking taylor expansion of x in sin 1.242 * [backup-simplify]: Simplify x into x 1.242 * [taylor]: Taking taylor expansion of (pow sin 2) in sin 1.242 * [taylor]: Taking taylor expansion of sin in sin 1.242 * [backup-simplify]: Simplify 0 into 0 1.242 * [backup-simplify]: Simplify 1 into 1 1.242 * [backup-simplify]: Simplify (* (cos (* 2 x)) 1) into (cos (* 2 x)) 1.242 * [backup-simplify]: Simplify (* (sin (* 2 x)) 0) into 0 1.242 * [backup-simplify]: Simplify (- 0) into 0 1.243 * [backup-simplify]: Simplify (+ (cos (* 2 x)) 0) into (cos (* 2 x)) 1.243 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 1.243 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.243 * [backup-simplify]: Simplify (* 1 1) into 1 1.243 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 1.243 * [backup-simplify]: Simplify (* (pow cos 2) (pow x 2)) into (* (pow x 2) (pow cos 2)) 1.243 * [backup-simplify]: Simplify (/ (cos (* 2 x)) (* (pow x 2) (pow cos 2))) into (/ (cos (* 2 x)) (* (pow x 2) (pow cos 2))) 1.243 * [taylor]: Taking taylor expansion of (/ (cos (* 2 x)) (* (pow cos 2) (* (pow x 2) (pow sin 2)))) in x 1.244 * [taylor]: Taking taylor expansion of (cos (* 2 x)) in x 1.244 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.244 * [taylor]: Taking taylor expansion of 2 in x 1.244 * [backup-simplify]: Simplify 2 into 2 1.244 * [taylor]: Taking taylor expansion of x in x 1.244 * [backup-simplify]: Simplify 0 into 0 1.244 * [backup-simplify]: Simplify 1 into 1 1.244 * [backup-simplify]: Simplify (* 2 0) into 0 1.245 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 1.245 * [taylor]: Taking taylor expansion of (* (pow cos 2) (* (pow x 2) (pow sin 2))) in x 1.245 * [taylor]: Taking taylor expansion of (pow cos 2) in x 1.245 * [taylor]: Taking taylor expansion of cos in x 1.245 * [backup-simplify]: Simplify cos into cos 1.245 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow sin 2)) in x 1.245 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.245 * [taylor]: Taking taylor expansion of x in x 1.245 * [backup-simplify]: Simplify 0 into 0 1.245 * [backup-simplify]: Simplify 1 into 1 1.245 * [taylor]: Taking taylor expansion of (pow sin 2) in x 1.245 * [taylor]: Taking taylor expansion of sin in x 1.245 * [backup-simplify]: Simplify sin into sin 1.245 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 1.246 * [backup-simplify]: Simplify (* 1 1) into 1 1.246 * [backup-simplify]: Simplify (* sin sin) into (pow sin 2) 1.246 * [backup-simplify]: Simplify (* 1 (pow sin 2)) into (pow sin 2) 1.246 * [backup-simplify]: Simplify (* (pow cos 2) (pow sin 2)) into (* (pow cos 2) (pow sin 2)) 1.246 * [backup-simplify]: Simplify (/ 1 (* (pow cos 2) (pow sin 2))) into (/ 1 (* (pow cos 2) (pow sin 2))) 1.246 * [taylor]: Taking taylor expansion of (/ (cos (* 2 x)) (* (pow cos 2) (* (pow x 2) (pow sin 2)))) in x 1.246 * [taylor]: Taking taylor expansion of (cos (* 2 x)) in x 1.246 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.246 * [taylor]: Taking taylor expansion of 2 in x 1.246 * [backup-simplify]: Simplify 2 into 2 1.246 * [taylor]: Taking taylor expansion of x in x 1.246 * [backup-simplify]: Simplify 0 into 0 1.246 * [backup-simplify]: Simplify 1 into 1 1.247 * [backup-simplify]: Simplify (* 2 0) into 0 1.247 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 1.247 * [taylor]: Taking taylor expansion of (* (pow cos 2) (* (pow x 2) (pow sin 2))) in x 1.247 * [taylor]: Taking taylor expansion of (pow cos 2) in x 1.247 * [taylor]: Taking taylor expansion of cos in x 1.247 * [backup-simplify]: Simplify cos into cos 1.247 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow sin 2)) in x 1.247 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.247 * [taylor]: Taking taylor expansion of x in x 1.248 * [backup-simplify]: Simplify 0 into 0 1.248 * [backup-simplify]: Simplify 1 into 1 1.248 * [taylor]: Taking taylor expansion of (pow sin 2) in x 1.248 * [taylor]: Taking taylor expansion of sin in x 1.248 * [backup-simplify]: Simplify sin into sin 1.248 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 1.248 * [backup-simplify]: Simplify (* 1 1) into 1 1.248 * [backup-simplify]: Simplify (* sin sin) into (pow sin 2) 1.248 * [backup-simplify]: Simplify (* 1 (pow sin 2)) into (pow sin 2) 1.248 * [backup-simplify]: Simplify (* (pow cos 2) (pow sin 2)) into (* (pow cos 2) (pow sin 2)) 1.248 * [backup-simplify]: Simplify (/ 1 (* (pow cos 2) (pow sin 2))) into (/ 1 (* (pow cos 2) (pow sin 2))) 1.249 * [taylor]: Taking taylor expansion of (/ 1 (* (pow cos 2) (pow sin 2))) in sin 1.249 * [taylor]: Taking taylor expansion of (* (pow cos 2) (pow sin 2)) in sin 1.249 * [taylor]: Taking taylor expansion of (pow cos 2) in sin 1.249 * [taylor]: Taking taylor expansion of cos in sin 1.249 * [backup-simplify]: Simplify cos into cos 1.249 * [taylor]: Taking taylor expansion of (pow sin 2) in sin 1.249 * [taylor]: Taking taylor expansion of sin in sin 1.249 * [backup-simplify]: Simplify 0 into 0 1.249 * [backup-simplify]: Simplify 1 into 1 1.249 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 1.249 * [backup-simplify]: Simplify (* 1 1) into 1 1.249 * [backup-simplify]: Simplify (* (pow cos 2) 1) into (pow cos 2) 1.249 * [backup-simplify]: Simplify (/ 1 (pow cos 2)) into (/ 1 (pow cos 2)) 1.250 * [taylor]: Taking taylor expansion of (/ 1 (pow cos 2)) in cos 1.250 * [taylor]: Taking taylor expansion of (pow cos 2) in cos 1.250 * [taylor]: Taking taylor expansion of cos in cos 1.250 * [backup-simplify]: Simplify 0 into 0 1.250 * [backup-simplify]: Simplify 1 into 1 1.250 * [backup-simplify]: Simplify (* 1 1) into 1 1.250 * [backup-simplify]: Simplify (/ 1 1) into 1 1.250 * [backup-simplify]: Simplify 1 into 1 1.251 * [backup-simplify]: Simplify (+ 0) into 0 1.251 * [backup-simplify]: Simplify (+ (* sin 0) (* 0 sin)) into 0 1.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow sin 2))) into 0 1.252 * [backup-simplify]: Simplify (+ (* cos 0) (* 0 cos)) into 0 1.252 * [backup-simplify]: Simplify (+ (* (pow cos 2) 0) (* 0 (pow sin 2))) into 0 1.253 * [backup-simplify]: Simplify (- (/ 0 (* (pow cos 2) (pow sin 2))) (+ (* (/ 1 (* (pow cos 2) (pow sin 2))) (/ 0 (* (pow cos 2) (pow sin 2)))))) into 0 1.253 * [taylor]: Taking taylor expansion of 0 in sin 1.253 * [backup-simplify]: Simplify 0 into 0 1.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.253 * [backup-simplify]: Simplify (+ (* cos 0) (* 0 cos)) into 0 1.254 * [backup-simplify]: Simplify (+ (* (pow cos 2) 0) (* 0 1)) into 0 1.254 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow cos 2)) (/ 0 (pow cos 2))))) into 0 1.254 * [taylor]: Taking taylor expansion of 0 in cos 1.254 * [backup-simplify]: Simplify 0 into 0 1.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.256 * [backup-simplify]: Simplify 0 into 0 1.256 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 2 2) 2)) 0) into -2 1.257 * [backup-simplify]: Simplify (+ (* sin 0) (+ (* 0 0) (* 0 sin))) into 0 1.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow sin 2)))) into 0 1.259 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (* 0 cos))) into 0 1.260 * [backup-simplify]: Simplify (+ (* (pow cos 2) 0) (+ (* 0 0) (* 0 (pow sin 2)))) into 0 1.261 * [backup-simplify]: Simplify (- (/ -2 (* (pow cos 2) (pow sin 2))) (+ (* (/ 1 (* (pow cos 2) (pow sin 2))) (/ 0 (* (pow cos 2) (pow sin 2)))) (* 0 (/ 0 (* (pow cos 2) (pow sin 2)))))) into (- (* 2 (/ 1 (* (pow cos 2) (pow sin 2))))) 1.261 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (* (pow cos 2) (pow sin 2))))) in sin 1.261 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* (pow cos 2) (pow sin 2)))) in sin 1.261 * [taylor]: Taking taylor expansion of 2 in sin 1.261 * [backup-simplify]: Simplify 2 into 2 1.261 * [taylor]: Taking taylor expansion of (/ 1 (* (pow cos 2) (pow sin 2))) in sin 1.261 * [taylor]: Taking taylor expansion of (* (pow cos 2) (pow sin 2)) in sin 1.261 * [taylor]: Taking taylor expansion of (pow cos 2) in sin 1.261 * [taylor]: Taking taylor expansion of cos in sin 1.261 * [backup-simplify]: Simplify cos into cos 1.261 * [taylor]: Taking taylor expansion of (pow sin 2) in sin 1.261 * [taylor]: Taking taylor expansion of sin in sin 1.261 * [backup-simplify]: Simplify 0 into 0 1.261 * [backup-simplify]: Simplify 1 into 1 1.261 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 1.262 * [backup-simplify]: Simplify (* 1 1) into 1 1.262 * [backup-simplify]: Simplify (* (pow cos 2) 1) into (pow cos 2) 1.262 * [backup-simplify]: Simplify (/ 1 (pow cos 2)) into (/ 1 (pow cos 2)) 1.262 * [backup-simplify]: Simplify (* 2 (/ 1 (pow cos 2))) into (/ 2 (pow cos 2)) 1.263 * [backup-simplify]: Simplify (- (/ 2 (pow cos 2))) into (- (* 2 (/ 1 (pow cos 2)))) 1.263 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow cos 2)))) in cos 1.263 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow cos 2))) in cos 1.263 * [taylor]: Taking taylor expansion of 2 in cos 1.263 * [backup-simplify]: Simplify 2 into 2 1.263 * [taylor]: Taking taylor expansion of (/ 1 (pow cos 2)) in cos 1.263 * [taylor]: Taking taylor expansion of (pow cos 2) in cos 1.263 * [taylor]: Taking taylor expansion of cos in cos 1.263 * [backup-simplify]: Simplify 0 into 0 1.263 * [backup-simplify]: Simplify 1 into 1 1.263 * [backup-simplify]: Simplify (* 1 1) into 1 1.264 * [backup-simplify]: Simplify (/ 1 1) into 1 1.264 * [backup-simplify]: Simplify (* 2 1) into 2 1.265 * [backup-simplify]: Simplify (- 2) into -2 1.265 * [backup-simplify]: Simplify -2 into -2 1.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.267 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (* 0 cos))) into 0 1.268 * [backup-simplify]: Simplify (+ (* (pow cos 2) 0) (+ (* 0 0) (* 0 1))) into 0 1.268 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow cos 2)) (/ 0 (pow cos 2))) (* 0 (/ 0 (pow cos 2))))) into 0 1.268 * [taylor]: Taking taylor expansion of 0 in cos 1.268 * [backup-simplify]: Simplify 0 into 0 1.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.270 * [backup-simplify]: Simplify 0 into 0 1.271 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1.272 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 2 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.273 * [backup-simplify]: Simplify (+ (* sin 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin)))) into 0 1.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow sin 2))))) into 0 1.276 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos)))) into 0 1.277 * [backup-simplify]: Simplify (+ (* (pow cos 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow sin 2))))) into 0 1.278 * [backup-simplify]: Simplify (- (/ 0 (* (pow cos 2) (pow sin 2))) (+ (* (/ 1 (* (pow cos 2) (pow sin 2))) (/ 0 (* (pow cos 2) (pow sin 2)))) (* 0 (/ 0 (* (pow cos 2) (pow sin 2)))) (* (- (* 2 (/ 1 (* (pow cos 2) (pow sin 2))))) (/ 0 (* (pow cos 2) (pow sin 2)))))) into 0 1.278 * [taylor]: Taking taylor expansion of 0 in sin 1.278 * [backup-simplify]: Simplify 0 into 0 1.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.279 * [backup-simplify]: Simplify (+ (* cos 0) (* 0 cos)) into 0 1.280 * [backup-simplify]: Simplify (+ (* (pow cos 2) 0) (* 0 1)) into 0 1.280 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow cos 2)) (/ 0 (pow cos 2))))) into 0 1.280 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow cos 2)))) into 0 1.281 * [backup-simplify]: Simplify (- 0) into 0 1.281 * [taylor]: Taking taylor expansion of 0 in cos 1.281 * [backup-simplify]: Simplify 0 into 0 1.281 * [taylor]: Taking taylor expansion of 0 in cos 1.281 * [backup-simplify]: Simplify 0 into 0 1.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.283 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos)))) into 0 1.283 * [backup-simplify]: Simplify (+ (* (pow cos 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.284 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow cos 2)) (/ 0 (pow cos 2))) (* 0 (/ 0 (pow cos 2))) (* 0 (/ 0 (pow cos 2))))) into 0 1.284 * [taylor]: Taking taylor expansion of 0 in cos 1.284 * [backup-simplify]: Simplify 0 into 0 1.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.286 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.286 * [backup-simplify]: Simplify (- 0) into 0 1.286 * [backup-simplify]: Simplify 0 into 0 1.286 * [backup-simplify]: Simplify 0 into 0 1.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.292 * [backup-simplify]: Simplify 0 into 0 1.293 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.296 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 2 4) 24)) 0 (* -1 (/ (pow 2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 2/3 1.298 * [backup-simplify]: Simplify (+ (* sin 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 1.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow sin 2)))))) into 0 1.301 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))) into 0 1.303 * [backup-simplify]: Simplify (+ (* (pow cos 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow sin 2)))))) into 0 1.304 * [backup-simplify]: Simplify (- (/ 2/3 (* (pow cos 2) (pow sin 2))) (+ (* (/ 1 (* (pow cos 2) (pow sin 2))) (/ 0 (* (pow cos 2) (pow sin 2)))) (* 0 (/ 0 (* (pow cos 2) (pow sin 2)))) (* (- (* 2 (/ 1 (* (pow cos 2) (pow sin 2))))) (/ 0 (* (pow cos 2) (pow sin 2)))) (* 0 (/ 0 (* (pow cos 2) (pow sin 2)))))) into (* 2/3 (/ 1 (* (pow cos 2) (pow sin 2)))) 1.304 * [taylor]: Taking taylor expansion of (* 2/3 (/ 1 (* (pow cos 2) (pow sin 2)))) in sin 1.304 * [taylor]: Taking taylor expansion of 2/3 in sin 1.304 * [backup-simplify]: Simplify 2/3 into 2/3 1.304 * [taylor]: Taking taylor expansion of (/ 1 (* (pow cos 2) (pow sin 2))) in sin 1.304 * [taylor]: Taking taylor expansion of (* (pow cos 2) (pow sin 2)) in sin 1.304 * [taylor]: Taking taylor expansion of (pow cos 2) in sin 1.304 * [taylor]: Taking taylor expansion of cos in sin 1.304 * [backup-simplify]: Simplify cos into cos 1.304 * [taylor]: Taking taylor expansion of (pow sin 2) in sin 1.304 * [taylor]: Taking taylor expansion of sin in sin 1.304 * [backup-simplify]: Simplify 0 into 0 1.304 * [backup-simplify]: Simplify 1 into 1 1.304 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 1.305 * [backup-simplify]: Simplify (* 1 1) into 1 1.305 * [backup-simplify]: Simplify (* (pow cos 2) 1) into (pow cos 2) 1.305 * [backup-simplify]: Simplify (/ 1 (pow cos 2)) into (/ 1 (pow cos 2)) 1.305 * [backup-simplify]: Simplify (* 2/3 (/ 1 (pow cos 2))) into (/ 2/3 (pow cos 2)) 1.305 * [taylor]: Taking taylor expansion of (/ 2/3 (pow cos 2)) in cos 1.305 * [taylor]: Taking taylor expansion of 2/3 in cos 1.305 * [backup-simplify]: Simplify 2/3 into 2/3 1.305 * [taylor]: Taking taylor expansion of (pow cos 2) in cos 1.305 * [taylor]: Taking taylor expansion of cos in cos 1.305 * [backup-simplify]: Simplify 0 into 0 1.305 * [backup-simplify]: Simplify 1 into 1 1.306 * [backup-simplify]: Simplify (* 1 1) into 1 1.306 * [backup-simplify]: Simplify (/ 2/3 1) into 2/3 1.306 * [backup-simplify]: Simplify 2/3 into 2/3 1.307 * [backup-simplify]: Simplify (+ (* 2/3 (pow (* (/ 1 cos) (* (/ 1 sin) x)) 2)) (+ (* -2 (pow (* (/ 1 cos) (* (/ 1 sin) 1)) 2)) (* 1 (pow (* (/ 1 cos) (* (/ 1 sin) (/ 1 x))) 2)))) into (- (+ (/ 1 (* (pow x 2) (* (pow cos 2) (pow sin 2)))) (* 2/3 (/ (pow x 2) (* (pow cos 2) (pow sin 2))))) (* 2 (/ 1 (* (pow cos 2) (pow sin 2))))) 1.308 * [backup-simplify]: Simplify (/ (cos (* 2 (/ 1 x))) (* (* (* (/ 1 sin) (/ 1 x)) (/ 1 cos)) (* (* (/ 1 sin) (/ 1 x)) (/ 1 cos)))) into (* (pow x 2) (* (pow sin 2) (* (pow cos 2) (cos (/ 2 x))))) 1.308 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (* (pow cos 2) (cos (/ 2 x))))) in (x sin cos) around 0 1.308 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (* (pow cos 2) (cos (/ 2 x))))) in cos 1.308 * [taylor]: Taking taylor expansion of (pow x 2) in cos 1.308 * [taylor]: Taking taylor expansion of x in cos 1.308 * [backup-simplify]: Simplify x into x 1.308 * [taylor]: Taking taylor expansion of (* (pow sin 2) (* (pow cos 2) (cos (/ 2 x)))) in cos 1.308 * [taylor]: Taking taylor expansion of (pow sin 2) in cos 1.308 * [taylor]: Taking taylor expansion of sin in cos 1.308 * [backup-simplify]: Simplify sin into sin 1.308 * [taylor]: Taking taylor expansion of (* (pow cos 2) (cos (/ 2 x))) in cos 1.308 * [taylor]: Taking taylor expansion of (pow cos 2) in cos 1.308 * [taylor]: Taking taylor expansion of cos in cos 1.308 * [backup-simplify]: Simplify 0 into 0 1.308 * [backup-simplify]: Simplify 1 into 1 1.308 * [taylor]: Taking taylor expansion of (cos (/ 2 x)) in cos 1.308 * [taylor]: Taking taylor expansion of (/ 2 x) in cos 1.308 * [taylor]: Taking taylor expansion of 2 in cos 1.308 * [backup-simplify]: Simplify 2 into 2 1.308 * [taylor]: Taking taylor expansion of x in cos 1.308 * [backup-simplify]: Simplify x into x 1.308 * [backup-simplify]: Simplify (/ 2 x) into (/ 2 x) 1.308 * [backup-simplify]: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) 1.308 * [backup-simplify]: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) 1.308 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (* (pow cos 2) (cos (/ 2 x))))) in sin 1.308 * [taylor]: Taking taylor expansion of (pow x 2) in sin 1.308 * [taylor]: Taking taylor expansion of x in sin 1.308 * [backup-simplify]: Simplify x into x 1.308 * [taylor]: Taking taylor expansion of (* (pow sin 2) (* (pow cos 2) (cos (/ 2 x)))) in sin 1.308 * [taylor]: Taking taylor expansion of (pow sin 2) in sin 1.309 * [taylor]: Taking taylor expansion of sin in sin 1.309 * [backup-simplify]: Simplify 0 into 0 1.309 * [backup-simplify]: Simplify 1 into 1 1.309 * [taylor]: Taking taylor expansion of (* (pow cos 2) (cos (/ 2 x))) in sin 1.309 * [taylor]: Taking taylor expansion of (pow cos 2) in sin 1.309 * [taylor]: Taking taylor expansion of cos in sin 1.309 * [backup-simplify]: Simplify cos into cos 1.309 * [taylor]: Taking taylor expansion of (cos (/ 2 x)) in sin 1.309 * [taylor]: Taking taylor expansion of (/ 2 x) in sin 1.309 * [taylor]: Taking taylor expansion of 2 in sin 1.309 * [backup-simplify]: Simplify 2 into 2 1.309 * [taylor]: Taking taylor expansion of x in sin 1.309 * [backup-simplify]: Simplify x into x 1.309 * [backup-simplify]: Simplify (/ 2 x) into (/ 2 x) 1.309 * [backup-simplify]: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) 1.309 * [backup-simplify]: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) 1.309 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (* (pow cos 2) (cos (/ 2 x))))) in x 1.309 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.309 * [taylor]: Taking taylor expansion of x in x 1.309 * [backup-simplify]: Simplify 0 into 0 1.309 * [backup-simplify]: Simplify 1 into 1 1.309 * [taylor]: Taking taylor expansion of (* (pow sin 2) (* (pow cos 2) (cos (/ 2 x)))) in x 1.309 * [taylor]: Taking taylor expansion of (pow sin 2) in x 1.309 * [taylor]: Taking taylor expansion of sin in x 1.309 * [backup-simplify]: Simplify sin into sin 1.309 * [taylor]: Taking taylor expansion of (* (pow cos 2) (cos (/ 2 x))) in x 1.309 * [taylor]: Taking taylor expansion of (pow cos 2) in x 1.309 * [taylor]: Taking taylor expansion of cos in x 1.309 * [backup-simplify]: Simplify cos into cos 1.309 * [taylor]: Taking taylor expansion of (cos (/ 2 x)) in x 1.309 * [taylor]: Taking taylor expansion of (/ 2 x) in x 1.309 * [taylor]: Taking taylor expansion of 2 in x 1.309 * [backup-simplify]: Simplify 2 into 2 1.309 * [taylor]: Taking taylor expansion of x in x 1.310 * [backup-simplify]: Simplify 0 into 0 1.310 * [backup-simplify]: Simplify 1 into 1 1.310 * [backup-simplify]: Simplify (/ 2 1) into 2 1.310 * [backup-simplify]: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) 1.310 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (* (pow cos 2) (cos (/ 2 x))))) in x 1.310 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.310 * [taylor]: Taking taylor expansion of x in x 1.310 * [backup-simplify]: Simplify 0 into 0 1.310 * [backup-simplify]: Simplify 1 into 1 1.310 * [taylor]: Taking taylor expansion of (* (pow sin 2) (* (pow cos 2) (cos (/ 2 x)))) in x 1.310 * [taylor]: Taking taylor expansion of (pow sin 2) in x 1.310 * [taylor]: Taking taylor expansion of sin in x 1.310 * [backup-simplify]: Simplify sin into sin 1.311 * [taylor]: Taking taylor expansion of (* (pow cos 2) (cos (/ 2 x))) in x 1.311 * [taylor]: Taking taylor expansion of (pow cos 2) in x 1.311 * [taylor]: Taking taylor expansion of cos in x 1.311 * [backup-simplify]: Simplify cos into cos 1.311 * [taylor]: Taking taylor expansion of (cos (/ 2 x)) in x 1.311 * [taylor]: Taking taylor expansion of (/ 2 x) in x 1.311 * [taylor]: Taking taylor expansion of 2 in x 1.311 * [backup-simplify]: Simplify 2 into 2 1.311 * [taylor]: Taking taylor expansion of x in x 1.311 * [backup-simplify]: Simplify 0 into 0 1.311 * [backup-simplify]: Simplify 1 into 1 1.311 * [backup-simplify]: Simplify (/ 2 1) into 2 1.311 * [backup-simplify]: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) 1.312 * [backup-simplify]: Simplify (* 1 1) into 1 1.312 * [backup-simplify]: Simplify (* sin sin) into (pow sin 2) 1.312 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 1.312 * [backup-simplify]: Simplify (* (pow cos 2) (cos (/ 2 x))) into (* (pow cos 2) (cos (/ 2 x))) 1.312 * [backup-simplify]: Simplify (* (pow sin 2) (* (pow cos 2) (cos (/ 2 x)))) into (* (pow sin 2) (* (pow cos 2) (cos (/ 2 x)))) 1.312 * [backup-simplify]: Simplify (* 1 (* (pow sin 2) (* (pow cos 2) (cos (/ 2 x))))) into (* (pow sin 2) (* (pow cos 2) (cos (/ 2 x)))) 1.312 * [taylor]: Taking taylor expansion of (* (pow sin 2) (* (pow cos 2) (cos (/ 2 x)))) in sin 1.312 * [taylor]: Taking taylor expansion of (pow sin 2) in sin 1.312 * [taylor]: Taking taylor expansion of sin in sin 1.312 * [backup-simplify]: Simplify 0 into 0 1.312 * [backup-simplify]: Simplify 1 into 1 1.312 * [taylor]: Taking taylor expansion of (* (pow cos 2) (cos (/ 2 x))) in sin 1.312 * [taylor]: Taking taylor expansion of (pow cos 2) in sin 1.312 * [taylor]: Taking taylor expansion of cos in sin 1.312 * [backup-simplify]: Simplify cos into cos 1.312 * [taylor]: Taking taylor expansion of (cos (/ 2 x)) in sin 1.312 * [taylor]: Taking taylor expansion of (/ 2 x) in sin 1.312 * [taylor]: Taking taylor expansion of 2 in sin 1.312 * [backup-simplify]: Simplify 2 into 2 1.313 * [taylor]: Taking taylor expansion of x in sin 1.313 * [backup-simplify]: Simplify x into x 1.313 * [backup-simplify]: Simplify (/ 2 x) into (/ 2 x) 1.313 * [backup-simplify]: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) 1.313 * [backup-simplify]: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) 1.313 * [backup-simplify]: Simplify (* 1 1) into 1 1.313 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 1.313 * [backup-simplify]: Simplify (* (cos (/ 2 x)) 1) into (cos (/ 2 x)) 1.313 * [backup-simplify]: Simplify (* (sin (/ 2 x)) 0) into 0 1.313 * [backup-simplify]: Simplify (- 0) into 0 1.313 * [backup-simplify]: Simplify (+ (cos (/ 2 x)) 0) into (cos (/ 2 x)) 1.313 * [backup-simplify]: Simplify (* (pow cos 2) (cos (/ 2 x))) into (* (pow cos 2) (cos (/ 2 x))) 1.314 * [backup-simplify]: Simplify (* 1 (* (pow cos 2) (cos (/ 2 x)))) into (* (pow cos 2) (cos (/ 2 x))) 1.314 * [taylor]: Taking taylor expansion of (* (pow cos 2) (cos (/ 2 x))) in cos 1.314 * [taylor]: Taking taylor expansion of (pow cos 2) in cos 1.314 * [taylor]: Taking taylor expansion of cos in cos 1.314 * [backup-simplify]: Simplify 0 into 0 1.314 * [backup-simplify]: Simplify 1 into 1 1.314 * [taylor]: Taking taylor expansion of (cos (/ 2 x)) in cos 1.314 * [taylor]: Taking taylor expansion of (/ 2 x) in cos 1.314 * [taylor]: Taking taylor expansion of 2 in cos 1.314 * [backup-simplify]: Simplify 2 into 2 1.314 * [taylor]: Taking taylor expansion of x in cos 1.314 * [backup-simplify]: Simplify x into x 1.314 * [backup-simplify]: Simplify (/ 2 x) into (/ 2 x) 1.314 * [backup-simplify]: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) 1.314 * [backup-simplify]: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) 1.314 * [backup-simplify]: Simplify (* 1 1) into 1 1.314 * [backup-simplify]: Simplify (* (cos (/ 2 x)) 1) into (cos (/ 2 x)) 1.314 * [backup-simplify]: Simplify (* (sin (/ 2 x)) 0) into 0 1.314 * [backup-simplify]: Simplify (- 0) into 0 1.314 * [backup-simplify]: Simplify (+ (cos (/ 2 x)) 0) into (cos (/ 2 x)) 1.314 * [backup-simplify]: Simplify (* 1 (cos (/ 2 x))) into (cos (/ 2 x)) 1.315 * [backup-simplify]: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) 1.315 * [backup-simplify]: Simplify (+ (* cos 0) (* 0 cos)) into 0 1.315 * [backup-simplify]: Simplify (+ (* (pow cos 2) 0) (* 0 (cos (/ 2 x)))) into 0 1.315 * [backup-simplify]: Simplify (+ (* sin 0) (* 0 sin)) into 0 1.315 * [backup-simplify]: Simplify (+ (* (pow sin 2) 0) (* 0 (* (pow cos 2) (cos (/ 2 x))))) into 0 1.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (* (pow sin 2) (* (pow cos 2) (cos (/ 2 x)))))) into 0 1.316 * [taylor]: Taking taylor expansion of 0 in sin 1.316 * [backup-simplify]: Simplify 0 into 0 1.316 * [taylor]: Taking taylor expansion of 0 in cos 1.316 * [backup-simplify]: Simplify 0 into 0 1.316 * [backup-simplify]: Simplify 0 into 0 1.316 * [backup-simplify]: Simplify (+ 0) into 0 1.316 * [backup-simplify]: Simplify (+ (* (cos (/ 2 x)) 0) (* 0 1)) into 0 1.316 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 2 x) (/ 0 x)))) into 0 1.317 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.317 * [backup-simplify]: Simplify (+ (* (sin (/ 2 x)) 0) (* 0 0)) into 0 1.317 * [backup-simplify]: Simplify (- 0) into 0 1.318 * [backup-simplify]: Simplify (+ 0 0) into 0 1.318 * [backup-simplify]: Simplify (+ (* cos 0) (* 0 cos)) into 0 1.318 * [backup-simplify]: Simplify (+ (* (pow cos 2) 0) (* 0 (cos (/ 2 x)))) into 0 1.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (* (pow cos 2) (cos (/ 2 x))))) into 0 1.318 * [taylor]: Taking taylor expansion of 0 in cos 1.318 * [backup-simplify]: Simplify 0 into 0 1.319 * [backup-simplify]: Simplify 0 into 0 1.319 * [backup-simplify]: Simplify (+ 0) into 0 1.319 * [backup-simplify]: Simplify (+ (* (cos (/ 2 x)) 0) (* 0 1)) into 0 1.319 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 2 x) (/ 0 x)))) into 0 1.320 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.320 * [backup-simplify]: Simplify (+ (* (sin (/ 2 x)) 0) (* 0 0)) into 0 1.320 * [backup-simplify]: Simplify (- 0) into 0 1.320 * [backup-simplify]: Simplify (+ 0 0) into 0 1.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 2 x)))) into 0 1.321 * [backup-simplify]: Simplify 0 into 0 1.322 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (* 0 cos))) into 0 1.322 * [backup-simplify]: Simplify (+ (* (pow cos 2) 0) (+ (* 0 0) (* 0 (cos (/ 2 x))))) into 0 1.322 * [backup-simplify]: Simplify (+ (* sin 0) (+ (* 0 0) (* 0 sin))) into 0 1.322 * [backup-simplify]: Simplify (+ (* (pow sin 2) 0) (+ (* 0 0) (* 0 (* (pow cos 2) (cos (/ 2 x)))))) into 0 1.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (* (pow sin 2) (* (pow cos 2) (cos (/ 2 x))))))) into 0 1.324 * [taylor]: Taking taylor expansion of 0 in sin 1.324 * [backup-simplify]: Simplify 0 into 0 1.324 * [taylor]: Taking taylor expansion of 0 in cos 1.324 * [backup-simplify]: Simplify 0 into 0 1.324 * [backup-simplify]: Simplify 0 into 0 1.324 * [taylor]: Taking taylor expansion of 0 in cos 1.324 * [backup-simplify]: Simplify 0 into 0 1.324 * [backup-simplify]: Simplify 0 into 0 1.324 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.325 * [backup-simplify]: Simplify (+ (* (cos (/ 2 x)) 0) (+ (* 0 0) (* 0 1))) into 0 1.325 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 2 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.325 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.326 * [backup-simplify]: Simplify (+ (* (sin (/ 2 x)) 0) (+ (* 0 0) (* 0 0))) into 0 1.326 * [backup-simplify]: Simplify (- 0) into 0 1.326 * [backup-simplify]: Simplify (+ 0 0) into 0 1.326 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (* 0 cos))) into 0 1.327 * [backup-simplify]: Simplify (+ (* (pow cos 2) 0) (+ (* 0 0) (* 0 (cos (/ 2 x))))) into 0 1.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (* (pow cos 2) (cos (/ 2 x)))))) into 0 1.328 * [taylor]: Taking taylor expansion of 0 in cos 1.328 * [backup-simplify]: Simplify 0 into 0 1.328 * [backup-simplify]: Simplify 0 into 0 1.328 * [backup-simplify]: Simplify (* (cos (/ 2 (/ 1 x))) (pow (* (/ 1 cos) (* (/ 1 sin) (/ 1 x))) 2)) into (/ (cos (* 2 x)) (* (pow sin 2) (* (pow x 2) (pow cos 2)))) 1.328 * [backup-simplify]: Simplify (/ (cos (* 2 (/ 1 (- x)))) (* (* (* (/ 1 (- sin)) (/ 1 (- x))) (/ 1 (- cos))) (* (* (/ 1 (- sin)) (/ 1 (- x))) (/ 1 (- cos))))) into (* (cos (/ -2 x)) (* (pow x 2) (* (pow sin 2) (pow cos 2)))) 1.328 * [approximate]: Taking taylor expansion of (* (cos (/ -2 x)) (* (pow x 2) (* (pow sin 2) (pow cos 2)))) in (x sin cos) around 0 1.328 * [taylor]: Taking taylor expansion of (* (cos (/ -2 x)) (* (pow x 2) (* (pow sin 2) (pow cos 2)))) in cos 1.328 * [taylor]: Taking taylor expansion of (cos (/ -2 x)) in cos 1.328 * [taylor]: Taking taylor expansion of (/ -2 x) in cos 1.328 * [taylor]: Taking taylor expansion of -2 in cos 1.328 * [backup-simplify]: Simplify -2 into -2 1.328 * [taylor]: Taking taylor expansion of x in cos 1.329 * [backup-simplify]: Simplify x into x 1.329 * [backup-simplify]: Simplify (/ -2 x) into (/ -2 x) 1.329 * [backup-simplify]: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) 1.329 * [backup-simplify]: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) 1.329 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (pow cos 2))) in cos 1.329 * [taylor]: Taking taylor expansion of (pow x 2) in cos 1.329 * [taylor]: Taking taylor expansion of x in cos 1.329 * [backup-simplify]: Simplify x into x 1.329 * [taylor]: Taking taylor expansion of (* (pow sin 2) (pow cos 2)) in cos 1.329 * [taylor]: Taking taylor expansion of (pow sin 2) in cos 1.329 * [taylor]: Taking taylor expansion of sin in cos 1.329 * [backup-simplify]: Simplify sin into sin 1.329 * [taylor]: Taking taylor expansion of (pow cos 2) in cos 1.329 * [taylor]: Taking taylor expansion of cos in cos 1.329 * [backup-simplify]: Simplify 0 into 0 1.329 * [backup-simplify]: Simplify 1 into 1 1.329 * [taylor]: Taking taylor expansion of (* (cos (/ -2 x)) (* (pow x 2) (* (pow sin 2) (pow cos 2)))) in sin 1.329 * [taylor]: Taking taylor expansion of (cos (/ -2 x)) in sin 1.329 * [taylor]: Taking taylor expansion of (/ -2 x) in sin 1.329 * [taylor]: Taking taylor expansion of -2 in sin 1.329 * [backup-simplify]: Simplify -2 into -2 1.329 * [taylor]: Taking taylor expansion of x in sin 1.329 * [backup-simplify]: Simplify x into x 1.329 * [backup-simplify]: Simplify (/ -2 x) into (/ -2 x) 1.329 * [backup-simplify]: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) 1.329 * [backup-simplify]: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) 1.329 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (pow cos 2))) in sin 1.329 * [taylor]: Taking taylor expansion of (pow x 2) in sin 1.329 * [taylor]: Taking taylor expansion of x in sin 1.329 * [backup-simplify]: Simplify x into x 1.329 * [taylor]: Taking taylor expansion of (* (pow sin 2) (pow cos 2)) in sin 1.329 * [taylor]: Taking taylor expansion of (pow sin 2) in sin 1.329 * [taylor]: Taking taylor expansion of sin in sin 1.329 * [backup-simplify]: Simplify 0 into 0 1.329 * [backup-simplify]: Simplify 1 into 1 1.329 * [taylor]: Taking taylor expansion of (pow cos 2) in sin 1.329 * [taylor]: Taking taylor expansion of cos in sin 1.329 * [backup-simplify]: Simplify cos into cos 1.329 * [taylor]: Taking taylor expansion of (* (cos (/ -2 x)) (* (pow x 2) (* (pow sin 2) (pow cos 2)))) in x 1.329 * [taylor]: Taking taylor expansion of (cos (/ -2 x)) in x 1.329 * [taylor]: Taking taylor expansion of (/ -2 x) in x 1.329 * [taylor]: Taking taylor expansion of -2 in x 1.329 * [backup-simplify]: Simplify -2 into -2 1.329 * [taylor]: Taking taylor expansion of x in x 1.329 * [backup-simplify]: Simplify 0 into 0 1.329 * [backup-simplify]: Simplify 1 into 1 1.330 * [backup-simplify]: Simplify (/ -2 1) into -2 1.330 * [backup-simplify]: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) 1.330 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (pow cos 2))) in x 1.330 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.330 * [taylor]: Taking taylor expansion of x in x 1.330 * [backup-simplify]: Simplify 0 into 0 1.330 * [backup-simplify]: Simplify 1 into 1 1.330 * [taylor]: Taking taylor expansion of (* (pow sin 2) (pow cos 2)) in x 1.330 * [taylor]: Taking taylor expansion of (pow sin 2) in x 1.330 * [taylor]: Taking taylor expansion of sin in x 1.330 * [backup-simplify]: Simplify sin into sin 1.330 * [taylor]: Taking taylor expansion of (pow cos 2) in x 1.330 * [taylor]: Taking taylor expansion of cos in x 1.330 * [backup-simplify]: Simplify cos into cos 1.330 * [taylor]: Taking taylor expansion of (* (cos (/ -2 x)) (* (pow x 2) (* (pow sin 2) (pow cos 2)))) in x 1.330 * [taylor]: Taking taylor expansion of (cos (/ -2 x)) in x 1.330 * [taylor]: Taking taylor expansion of (/ -2 x) in x 1.330 * [taylor]: Taking taylor expansion of -2 in x 1.330 * [backup-simplify]: Simplify -2 into -2 1.330 * [taylor]: Taking taylor expansion of x in x 1.330 * [backup-simplify]: Simplify 0 into 0 1.330 * [backup-simplify]: Simplify 1 into 1 1.330 * [backup-simplify]: Simplify (/ -2 1) into -2 1.330 * [backup-simplify]: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) 1.330 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (pow cos 2))) in x 1.330 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.330 * [taylor]: Taking taylor expansion of x in x 1.330 * [backup-simplify]: Simplify 0 into 0 1.330 * [backup-simplify]: Simplify 1 into 1 1.330 * [taylor]: Taking taylor expansion of (* (pow sin 2) (pow cos 2)) in x 1.330 * [taylor]: Taking taylor expansion of (pow sin 2) in x 1.330 * [taylor]: Taking taylor expansion of sin in x 1.330 * [backup-simplify]: Simplify sin into sin 1.330 * [taylor]: Taking taylor expansion of (pow cos 2) in x 1.330 * [taylor]: Taking taylor expansion of cos in x 1.330 * [backup-simplify]: Simplify cos into cos 1.331 * [backup-simplify]: Simplify (* 1 1) into 1 1.331 * [backup-simplify]: Simplify (* sin sin) into (pow sin 2) 1.331 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 1.331 * [backup-simplify]: Simplify (* (pow sin 2) (pow cos 2)) into (* (pow sin 2) (pow cos 2)) 1.331 * [backup-simplify]: Simplify (* 1 (* (pow sin 2) (pow cos 2))) into (* (pow sin 2) (pow cos 2)) 1.331 * [backup-simplify]: Simplify (* (cos (/ -2 x)) (* (pow sin 2) (pow cos 2))) into (* (cos (/ -2 x)) (* (pow sin 2) (pow cos 2))) 1.331 * [taylor]: Taking taylor expansion of (* (cos (/ -2 x)) (* (pow sin 2) (pow cos 2))) in sin 1.331 * [taylor]: Taking taylor expansion of (cos (/ -2 x)) in sin 1.331 * [taylor]: Taking taylor expansion of (/ -2 x) in sin 1.331 * [taylor]: Taking taylor expansion of -2 in sin 1.331 * [backup-simplify]: Simplify -2 into -2 1.331 * [taylor]: Taking taylor expansion of x in sin 1.331 * [backup-simplify]: Simplify x into x 1.331 * [backup-simplify]: Simplify (/ -2 x) into (/ -2 x) 1.331 * [backup-simplify]: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) 1.331 * [backup-simplify]: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) 1.331 * [taylor]: Taking taylor expansion of (* (pow sin 2) (pow cos 2)) in sin 1.331 * [taylor]: Taking taylor expansion of (pow sin 2) in sin 1.331 * [taylor]: Taking taylor expansion of sin in sin 1.331 * [backup-simplify]: Simplify 0 into 0 1.331 * [backup-simplify]: Simplify 1 into 1 1.331 * [taylor]: Taking taylor expansion of (pow cos 2) in sin 1.331 * [taylor]: Taking taylor expansion of cos in sin 1.331 * [backup-simplify]: Simplify cos into cos 1.332 * [backup-simplify]: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) 1.332 * [backup-simplify]: Simplify (* (sin (/ -2 x)) 0) into 0 1.332 * [backup-simplify]: Simplify (- 0) into 0 1.332 * [backup-simplify]: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) 1.332 * [backup-simplify]: Simplify (* 1 1) into 1 1.332 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 1.332 * [backup-simplify]: Simplify (* 1 (pow cos 2)) into (pow cos 2) 1.332 * [backup-simplify]: Simplify (* (cos (/ -2 x)) (pow cos 2)) into (* (cos (/ -2 x)) (pow cos 2)) 1.332 * [taylor]: Taking taylor expansion of (* (cos (/ -2 x)) (pow cos 2)) in cos 1.332 * [taylor]: Taking taylor expansion of (cos (/ -2 x)) in cos 1.332 * [taylor]: Taking taylor expansion of (/ -2 x) in cos 1.332 * [taylor]: Taking taylor expansion of -2 in cos 1.332 * [backup-simplify]: Simplify -2 into -2 1.332 * [taylor]: Taking taylor expansion of x in cos 1.332 * [backup-simplify]: Simplify x into x 1.332 * [backup-simplify]: Simplify (/ -2 x) into (/ -2 x) 1.332 * [backup-simplify]: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) 1.333 * [backup-simplify]: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) 1.333 * [taylor]: Taking taylor expansion of (pow cos 2) in cos 1.333 * [taylor]: Taking taylor expansion of cos in cos 1.333 * [backup-simplify]: Simplify 0 into 0 1.333 * [backup-simplify]: Simplify 1 into 1 1.333 * [backup-simplify]: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) 1.333 * [backup-simplify]: Simplify (* (sin (/ -2 x)) 0) into 0 1.333 * [backup-simplify]: Simplify (- 0) into 0 1.333 * [backup-simplify]: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) 1.333 * [backup-simplify]: Simplify (* 1 1) into 1 1.333 * [backup-simplify]: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) 1.333 * [backup-simplify]: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) 1.333 * [backup-simplify]: Simplify (+ (* cos 0) (* 0 cos)) into 0 1.333 * [backup-simplify]: Simplify (+ (* sin 0) (* 0 sin)) into 0 1.334 * [backup-simplify]: Simplify (+ (* (pow sin 2) 0) (* 0 (pow cos 2))) into 0 1.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (* (pow sin 2) (pow cos 2)))) into 0 1.334 * [backup-simplify]: Simplify (+ (* (cos (/ -2 x)) 0) (* 0 (* (pow sin 2) (pow cos 2)))) into 0 1.334 * [taylor]: Taking taylor expansion of 0 in sin 1.334 * [backup-simplify]: Simplify 0 into 0 1.334 * [taylor]: Taking taylor expansion of 0 in cos 1.334 * [backup-simplify]: Simplify 0 into 0 1.335 * [backup-simplify]: Simplify 0 into 0 1.335 * [backup-simplify]: Simplify (+ (* cos 0) (* 0 cos)) into 0 1.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow cos 2))) into 0 1.336 * [backup-simplify]: Simplify (+ 0) into 0 1.336 * [backup-simplify]: Simplify (+ (* (cos (/ -2 x)) 0) (* 0 1)) into 0 1.336 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)))) into 0 1.337 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.337 * [backup-simplify]: Simplify (+ (* (sin (/ -2 x)) 0) (* 0 0)) into 0 1.338 * [backup-simplify]: Simplify (- 0) into 0 1.338 * [backup-simplify]: Simplify (+ 0 0) into 0 1.338 * [backup-simplify]: Simplify (+ (* (cos (/ -2 x)) 0) (* 0 (pow cos 2))) into 0 1.338 * [taylor]: Taking taylor expansion of 0 in cos 1.338 * [backup-simplify]: Simplify 0 into 0 1.338 * [backup-simplify]: Simplify 0 into 0 1.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.340 * [backup-simplify]: Simplify (+ 0) into 0 1.340 * [backup-simplify]: Simplify (+ (* (cos (/ -2 x)) 0) (* 0 1)) into 0 1.340 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)))) into 0 1.341 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.342 * [backup-simplify]: Simplify (+ (* (sin (/ -2 x)) 0) (* 0 0)) into 0 1.342 * [backup-simplify]: Simplify (- 0) into 0 1.342 * [backup-simplify]: Simplify (+ 0 0) into 0 1.343 * [backup-simplify]: Simplify (+ (* (cos (/ -2 x)) 0) (* 0 1)) into 0 1.343 * [backup-simplify]: Simplify 0 into 0 1.343 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (* 0 cos))) into 0 1.344 * [backup-simplify]: Simplify (+ (* sin 0) (+ (* 0 0) (* 0 sin))) into 0 1.344 * [backup-simplify]: Simplify (+ (* (pow sin 2) 0) (+ (* 0 0) (* 0 (pow cos 2)))) into 0 1.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (* (pow sin 2) (pow cos 2))))) into 0 1.347 * [backup-simplify]: Simplify (+ (* (cos (/ -2 x)) 0) (+ (* 0 0) (* 0 (* (pow sin 2) (pow cos 2))))) into 0 1.347 * [taylor]: Taking taylor expansion of 0 in sin 1.347 * [backup-simplify]: Simplify 0 into 0 1.347 * [taylor]: Taking taylor expansion of 0 in cos 1.347 * [backup-simplify]: Simplify 0 into 0 1.347 * [backup-simplify]: Simplify 0 into 0 1.347 * [taylor]: Taking taylor expansion of 0 in cos 1.347 * [backup-simplify]: Simplify 0 into 0 1.347 * [backup-simplify]: Simplify 0 into 0 1.348 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (* 0 cos))) into 0 1.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow cos 2)))) into 0 1.350 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.350 * [backup-simplify]: Simplify (+ (* (cos (/ -2 x)) 0) (+ (* 0 0) (* 0 1))) into 0 1.350 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.351 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.351 * [backup-simplify]: Simplify (+ (* (sin (/ -2 x)) 0) (+ (* 0 0) (* 0 0))) into 0 1.351 * [backup-simplify]: Simplify (- 0) into 0 1.352 * [backup-simplify]: Simplify (+ 0 0) into 0 1.352 * [backup-simplify]: Simplify (+ (* (cos (/ -2 x)) 0) (+ (* 0 0) (* 0 (pow cos 2)))) into 0 1.352 * [taylor]: Taking taylor expansion of 0 in cos 1.352 * [backup-simplify]: Simplify 0 into 0 1.352 * [backup-simplify]: Simplify 0 into 0 1.352 * [backup-simplify]: Simplify (* (cos (/ -2 (/ 1 (- x)))) (pow (* (/ 1 (- cos)) (* (/ 1 (- sin)) (/ 1 (- x)))) 2)) into (/ (cos (* 2 x)) (* (pow sin 2) (* (pow x 2) (pow cos 2)))) 1.352 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.352 * [backup-simplify]: Simplify (* (* (* sin x) cos) (* (* sin x) cos)) into (* (pow x 2) (* (pow sin 2) (pow cos 2))) 1.352 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (pow cos 2))) in (sin x cos) around 0 1.352 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (pow cos 2))) in cos 1.352 * [taylor]: Taking taylor expansion of (pow x 2) in cos 1.352 * [taylor]: Taking taylor expansion of x in cos 1.352 * [backup-simplify]: Simplify x into x 1.352 * [taylor]: Taking taylor expansion of (* (pow sin 2) (pow cos 2)) in cos 1.352 * [taylor]: Taking taylor expansion of (pow sin 2) in cos 1.352 * [taylor]: Taking taylor expansion of sin in cos 1.352 * [backup-simplify]: Simplify sin into sin 1.352 * [taylor]: Taking taylor expansion of (pow cos 2) in cos 1.352 * [taylor]: Taking taylor expansion of cos in cos 1.353 * [backup-simplify]: Simplify 0 into 0 1.353 * [backup-simplify]: Simplify 1 into 1 1.353 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (pow cos 2))) in x 1.353 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.353 * [taylor]: Taking taylor expansion of x in x 1.353 * [backup-simplify]: Simplify 0 into 0 1.353 * [backup-simplify]: Simplify 1 into 1 1.353 * [taylor]: Taking taylor expansion of (* (pow sin 2) (pow cos 2)) in x 1.353 * [taylor]: Taking taylor expansion of (pow sin 2) in x 1.353 * [taylor]: Taking taylor expansion of sin in x 1.353 * [backup-simplify]: Simplify sin into sin 1.353 * [taylor]: Taking taylor expansion of (pow cos 2) in x 1.353 * [taylor]: Taking taylor expansion of cos in x 1.353 * [backup-simplify]: Simplify cos into cos 1.353 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (pow cos 2))) in sin 1.353 * [taylor]: Taking taylor expansion of (pow x 2) in sin 1.353 * [taylor]: Taking taylor expansion of x in sin 1.353 * [backup-simplify]: Simplify x into x 1.353 * [taylor]: Taking taylor expansion of (* (pow sin 2) (pow cos 2)) in sin 1.353 * [taylor]: Taking taylor expansion of (pow sin 2) in sin 1.353 * [taylor]: Taking taylor expansion of sin in sin 1.353 * [backup-simplify]: Simplify 0 into 0 1.353 * [backup-simplify]: Simplify 1 into 1 1.353 * [taylor]: Taking taylor expansion of (pow cos 2) in sin 1.353 * [taylor]: Taking taylor expansion of cos in sin 1.353 * [backup-simplify]: Simplify cos into cos 1.353 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (pow cos 2))) in sin 1.353 * [taylor]: Taking taylor expansion of (pow x 2) in sin 1.353 * [taylor]: Taking taylor expansion of x in sin 1.353 * [backup-simplify]: Simplify x into x 1.353 * [taylor]: Taking taylor expansion of (* (pow sin 2) (pow cos 2)) in sin 1.353 * [taylor]: Taking taylor expansion of (pow sin 2) in sin 1.353 * [taylor]: Taking taylor expansion of sin in sin 1.353 * [backup-simplify]: Simplify 0 into 0 1.353 * [backup-simplify]: Simplify 1 into 1 1.353 * [taylor]: Taking taylor expansion of (pow cos 2) in sin 1.353 * [taylor]: Taking taylor expansion of cos in sin 1.353 * [backup-simplify]: Simplify cos into cos 1.353 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.353 * [backup-simplify]: Simplify (* 1 1) into 1 1.353 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 1.353 * [backup-simplify]: Simplify (* 1 (pow cos 2)) into (pow cos 2) 1.354 * [backup-simplify]: Simplify (* (pow x 2) (pow cos 2)) into (* (pow x 2) (pow cos 2)) 1.354 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow cos 2)) in x 1.354 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.354 * [taylor]: Taking taylor expansion of x in x 1.354 * [backup-simplify]: Simplify 0 into 0 1.354 * [backup-simplify]: Simplify 1 into 1 1.354 * [taylor]: Taking taylor expansion of (pow cos 2) in x 1.354 * [taylor]: Taking taylor expansion of cos in x 1.354 * [backup-simplify]: Simplify cos into cos 1.354 * [backup-simplify]: Simplify (* 1 1) into 1 1.354 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 1.354 * [backup-simplify]: Simplify (* 1 (pow cos 2)) into (pow cos 2) 1.354 * [taylor]: Taking taylor expansion of (pow cos 2) in cos 1.354 * [taylor]: Taking taylor expansion of cos in cos 1.354 * [backup-simplify]: Simplify 0 into 0 1.354 * [backup-simplify]: Simplify 1 into 1 1.354 * [backup-simplify]: Simplify (* 1 1) into 1 1.354 * [backup-simplify]: Simplify 1 into 1 1.354 * [backup-simplify]: Simplify (+ (* cos 0) (* 0 cos)) into 0 1.355 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.355 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow cos 2))) into 0 1.355 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.355 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow cos 2))) into 0 1.355 * [taylor]: Taking taylor expansion of 0 in x 1.355 * [backup-simplify]: Simplify 0 into 0 1.355 * [taylor]: Taking taylor expansion of 0 in cos 1.355 * [backup-simplify]: Simplify 0 into 0 1.355 * [backup-simplify]: Simplify 0 into 0 1.355 * [backup-simplify]: Simplify (+ (* cos 0) (* 0 cos)) into 0 1.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow cos 2))) into 0 1.356 * [taylor]: Taking taylor expansion of 0 in cos 1.356 * [backup-simplify]: Simplify 0 into 0 1.356 * [backup-simplify]: Simplify 0 into 0 1.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.357 * [backup-simplify]: Simplify 0 into 0 1.357 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (* 0 cos))) into 0 1.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow cos 2)))) into 0 1.358 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.358 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 (pow cos 2)))) into 0 1.359 * [taylor]: Taking taylor expansion of 0 in x 1.359 * [backup-simplify]: Simplify 0 into 0 1.359 * [taylor]: Taking taylor expansion of 0 in cos 1.359 * [backup-simplify]: Simplify 0 into 0 1.359 * [backup-simplify]: Simplify 0 into 0 1.359 * [taylor]: Taking taylor expansion of 0 in cos 1.359 * [backup-simplify]: Simplify 0 into 0 1.359 * [backup-simplify]: Simplify 0 into 0 1.359 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (* 0 cos))) into 0 1.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow cos 2)))) into 0 1.360 * [taylor]: Taking taylor expansion of 0 in cos 1.360 * [backup-simplify]: Simplify 0 into 0 1.360 * [backup-simplify]: Simplify 0 into 0 1.360 * [backup-simplify]: Simplify (* 1 (pow (* cos (* x sin)) 2)) into (* (pow x 2) (* (pow cos 2) (pow sin 2))) 1.360 * [backup-simplify]: Simplify (* (* (* (/ 1 sin) (/ 1 x)) (/ 1 cos)) (* (* (/ 1 sin) (/ 1 x)) (/ 1 cos))) into (/ 1 (* (pow x 2) (* (pow sin 2) (pow cos 2)))) 1.360 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (* (pow sin 2) (pow cos 2)))) in (sin x cos) around 0 1.360 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (* (pow sin 2) (pow cos 2)))) in cos 1.360 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (pow cos 2))) in cos 1.360 * [taylor]: Taking taylor expansion of (pow x 2) in cos 1.360 * [taylor]: Taking taylor expansion of x in cos 1.360 * [backup-simplify]: Simplify x into x 1.360 * [taylor]: Taking taylor expansion of (* (pow sin 2) (pow cos 2)) in cos 1.360 * [taylor]: Taking taylor expansion of (pow sin 2) in cos 1.360 * [taylor]: Taking taylor expansion of sin in cos 1.361 * [backup-simplify]: Simplify sin into sin 1.361 * [taylor]: Taking taylor expansion of (pow cos 2) in cos 1.361 * [taylor]: Taking taylor expansion of cos in cos 1.361 * [backup-simplify]: Simplify 0 into 0 1.361 * [backup-simplify]: Simplify 1 into 1 1.361 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.361 * [backup-simplify]: Simplify (* sin sin) into (pow sin 2) 1.361 * [backup-simplify]: Simplify (* 1 1) into 1 1.361 * [backup-simplify]: Simplify (* (pow sin 2) 1) into (pow sin 2) 1.361 * [backup-simplify]: Simplify (* (pow x 2) (pow sin 2)) into (* (pow x 2) (pow sin 2)) 1.361 * [backup-simplify]: Simplify (/ 1 (* (pow x 2) (pow sin 2))) into (/ 1 (* (pow x 2) (pow sin 2))) 1.361 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (* (pow sin 2) (pow cos 2)))) in x 1.361 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (pow cos 2))) in x 1.361 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.361 * [taylor]: Taking taylor expansion of x in x 1.361 * [backup-simplify]: Simplify 0 into 0 1.361 * [backup-simplify]: Simplify 1 into 1 1.361 * [taylor]: Taking taylor expansion of (* (pow sin 2) (pow cos 2)) in x 1.361 * [taylor]: Taking taylor expansion of (pow sin 2) in x 1.361 * [taylor]: Taking taylor expansion of sin in x 1.361 * [backup-simplify]: Simplify sin into sin 1.361 * [taylor]: Taking taylor expansion of (pow cos 2) in x 1.361 * [taylor]: Taking taylor expansion of cos in x 1.361 * [backup-simplify]: Simplify cos into cos 1.362 * [backup-simplify]: Simplify (* 1 1) into 1 1.362 * [backup-simplify]: Simplify (* sin sin) into (pow sin 2) 1.362 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 1.362 * [backup-simplify]: Simplify (* (pow sin 2) (pow cos 2)) into (* (pow sin 2) (pow cos 2)) 1.362 * [backup-simplify]: Simplify (* 1 (* (pow sin 2) (pow cos 2))) into (* (pow sin 2) (pow cos 2)) 1.362 * [backup-simplify]: Simplify (/ 1 (* (pow sin 2) (pow cos 2))) into (/ 1 (* (pow sin 2) (pow cos 2))) 1.362 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (* (pow sin 2) (pow cos 2)))) in sin 1.362 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (pow cos 2))) in sin 1.362 * [taylor]: Taking taylor expansion of (pow x 2) in sin 1.362 * [taylor]: Taking taylor expansion of x in sin 1.362 * [backup-simplify]: Simplify x into x 1.362 * [taylor]: Taking taylor expansion of (* (pow sin 2) (pow cos 2)) in sin 1.362 * [taylor]: Taking taylor expansion of (pow sin 2) in sin 1.362 * [taylor]: Taking taylor expansion of sin in sin 1.362 * [backup-simplify]: Simplify 0 into 0 1.362 * [backup-simplify]: Simplify 1 into 1 1.362 * [taylor]: Taking taylor expansion of (pow cos 2) in sin 1.362 * [taylor]: Taking taylor expansion of cos in sin 1.362 * [backup-simplify]: Simplify cos into cos 1.362 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.362 * [backup-simplify]: Simplify (* 1 1) into 1 1.362 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 1.362 * [backup-simplify]: Simplify (* 1 (pow cos 2)) into (pow cos 2) 1.362 * [backup-simplify]: Simplify (* (pow x 2) (pow cos 2)) into (* (pow x 2) (pow cos 2)) 1.363 * [backup-simplify]: Simplify (/ 1 (* (pow x 2) (pow cos 2))) into (/ 1 (* (pow x 2) (pow cos 2))) 1.363 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (* (pow sin 2) (pow cos 2)))) in sin 1.363 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (pow cos 2))) in sin 1.363 * [taylor]: Taking taylor expansion of (pow x 2) in sin 1.363 * [taylor]: Taking taylor expansion of x in sin 1.363 * [backup-simplify]: Simplify x into x 1.363 * [taylor]: Taking taylor expansion of (* (pow sin 2) (pow cos 2)) in sin 1.363 * [taylor]: Taking taylor expansion of (pow sin 2) in sin 1.363 * [taylor]: Taking taylor expansion of sin in sin 1.363 * [backup-simplify]: Simplify 0 into 0 1.363 * [backup-simplify]: Simplify 1 into 1 1.363 * [taylor]: Taking taylor expansion of (pow cos 2) in sin 1.363 * [taylor]: Taking taylor expansion of cos in sin 1.363 * [backup-simplify]: Simplify cos into cos 1.363 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.363 * [backup-simplify]: Simplify (* 1 1) into 1 1.363 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 1.363 * [backup-simplify]: Simplify (* 1 (pow cos 2)) into (pow cos 2) 1.363 * [backup-simplify]: Simplify (* (pow x 2) (pow cos 2)) into (* (pow x 2) (pow cos 2)) 1.363 * [backup-simplify]: Simplify (/ 1 (* (pow x 2) (pow cos 2))) into (/ 1 (* (pow x 2) (pow cos 2))) 1.363 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow cos 2))) in x 1.363 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow cos 2)) in x 1.363 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.363 * [taylor]: Taking taylor expansion of x in x 1.363 * [backup-simplify]: Simplify 0 into 0 1.363 * [backup-simplify]: Simplify 1 into 1 1.363 * [taylor]: Taking taylor expansion of (pow cos 2) in x 1.363 * [taylor]: Taking taylor expansion of cos in x 1.363 * [backup-simplify]: Simplify cos into cos 1.364 * [backup-simplify]: Simplify (* 1 1) into 1 1.364 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 1.364 * [backup-simplify]: Simplify (* 1 (pow cos 2)) into (pow cos 2) 1.364 * [backup-simplify]: Simplify (/ 1 (pow cos 2)) into (/ 1 (pow cos 2)) 1.364 * [taylor]: Taking taylor expansion of (/ 1 (pow cos 2)) in cos 1.364 * [taylor]: Taking taylor expansion of (pow cos 2) in cos 1.364 * [taylor]: Taking taylor expansion of cos in cos 1.364 * [backup-simplify]: Simplify 0 into 0 1.364 * [backup-simplify]: Simplify 1 into 1 1.364 * [backup-simplify]: Simplify (* 1 1) into 1 1.364 * [backup-simplify]: Simplify (/ 1 1) into 1 1.364 * [backup-simplify]: Simplify 1 into 1 1.365 * [backup-simplify]: Simplify (+ (* cos 0) (* 0 cos)) into 0 1.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow cos 2))) into 0 1.365 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.365 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow cos 2))) into 0 1.366 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow x 2) (pow cos 2))) (/ 0 (* (pow x 2) (pow cos 2)))))) into 0 1.366 * [taylor]: Taking taylor expansion of 0 in x 1.366 * [backup-simplify]: Simplify 0 into 0 1.366 * [backup-simplify]: Simplify (+ (* cos 0) (* 0 cos)) into 0 1.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow cos 2))) into 0 1.366 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow cos 2)) (/ 0 (pow cos 2))))) into 0 1.366 * [taylor]: Taking taylor expansion of 0 in cos 1.367 * [backup-simplify]: Simplify 0 into 0 1.367 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.367 * [backup-simplify]: Simplify 0 into 0 1.368 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (* 0 cos))) into 0 1.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow cos 2)))) into 0 1.369 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.369 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 (pow cos 2)))) into 0 1.370 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow x 2) (pow cos 2))) (/ 0 (* (pow x 2) (pow cos 2)))) (* 0 (/ 0 (* (pow x 2) (pow cos 2)))))) into 0 1.370 * [taylor]: Taking taylor expansion of 0 in x 1.370 * [backup-simplify]: Simplify 0 into 0 1.370 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (* 0 cos))) into 0 1.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow cos 2)))) into 0 1.371 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow cos 2)) (/ 0 (pow cos 2))) (* 0 (/ 0 (pow cos 2))))) into 0 1.371 * [taylor]: Taking taylor expansion of 0 in cos 1.371 * [backup-simplify]: Simplify 0 into 0 1.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.372 * [backup-simplify]: Simplify 0 into 0 1.373 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos)))) into 0 1.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow cos 2))))) into 0 1.375 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 1.375 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow cos 2))))) into 0 1.375 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow x 2) (pow cos 2))) (/ 0 (* (pow x 2) (pow cos 2)))) (* 0 (/ 0 (* (pow x 2) (pow cos 2)))) (* 0 (/ 0 (* (pow x 2) (pow cos 2)))))) into 0 1.375 * [taylor]: Taking taylor expansion of 0 in x 1.375 * [backup-simplify]: Simplify 0 into 0 1.375 * [taylor]: Taking taylor expansion of 0 in cos 1.375 * [backup-simplify]: Simplify 0 into 0 1.376 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos)))) into 0 1.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow cos 2))))) into 0 1.378 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow cos 2)) (/ 0 (pow cos 2))) (* 0 (/ 0 (pow cos 2))) (* 0 (/ 0 (pow cos 2))))) into 0 1.378 * [taylor]: Taking taylor expansion of 0 in cos 1.378 * [backup-simplify]: Simplify 0 into 0 1.378 * [backup-simplify]: Simplify 0 into 0 1.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.379 * [backup-simplify]: Simplify 0 into 0 1.379 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))) into 0 1.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow cos 2)))))) into 0 1.383 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 1.384 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow cos 2)))))) into 0 1.385 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow x 2) (pow cos 2))) (/ 0 (* (pow x 2) (pow cos 2)))) (* 0 (/ 0 (* (pow x 2) (pow cos 2)))) (* 0 (/ 0 (* (pow x 2) (pow cos 2)))) (* 0 (/ 0 (* (pow x 2) (pow cos 2)))))) into 0 1.385 * [taylor]: Taking taylor expansion of 0 in x 1.385 * [backup-simplify]: Simplify 0 into 0 1.385 * [taylor]: Taking taylor expansion of 0 in cos 1.385 * [backup-simplify]: Simplify 0 into 0 1.385 * [taylor]: Taking taylor expansion of 0 in cos 1.385 * [backup-simplify]: Simplify 0 into 0 1.386 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))) into 0 1.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow cos 2)))))) into 0 1.389 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow cos 2)) (/ 0 (pow cos 2))) (* 0 (/ 0 (pow cos 2))) (* 0 (/ 0 (pow cos 2))) (* 0 (/ 0 (pow cos 2))))) into 0 1.389 * [taylor]: Taking taylor expansion of 0 in cos 1.389 * [backup-simplify]: Simplify 0 into 0 1.390 * [backup-simplify]: Simplify 0 into 0 1.390 * [backup-simplify]: Simplify 0 into 0 1.390 * [backup-simplify]: Simplify (* 1 (pow (* (/ 1 (/ 1 cos)) (* (/ 1 (/ 1 x)) (/ 1 (/ 1 sin)))) 2)) into (* (pow x 2) (* (pow cos 2) (pow sin 2))) 1.390 * [backup-simplify]: Simplify (* (* (* (/ 1 (- sin)) (/ 1 (- x))) (/ 1 (- cos))) (* (* (/ 1 (- sin)) (/ 1 (- x))) (/ 1 (- cos)))) into (/ 1 (* (pow x 2) (* (pow sin 2) (pow cos 2)))) 1.390 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (* (pow sin 2) (pow cos 2)))) in (sin x cos) around 0 1.390 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (* (pow sin 2) (pow cos 2)))) in cos 1.390 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (pow cos 2))) in cos 1.390 * [taylor]: Taking taylor expansion of (pow x 2) in cos 1.390 * [taylor]: Taking taylor expansion of x in cos 1.390 * [backup-simplify]: Simplify x into x 1.390 * [taylor]: Taking taylor expansion of (* (pow sin 2) (pow cos 2)) in cos 1.390 * [taylor]: Taking taylor expansion of (pow sin 2) in cos 1.391 * [taylor]: Taking taylor expansion of sin in cos 1.391 * [backup-simplify]: Simplify sin into sin 1.391 * [taylor]: Taking taylor expansion of (pow cos 2) in cos 1.391 * [taylor]: Taking taylor expansion of cos in cos 1.391 * [backup-simplify]: Simplify 0 into 0 1.391 * [backup-simplify]: Simplify 1 into 1 1.391 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.391 * [backup-simplify]: Simplify (* sin sin) into (pow sin 2) 1.391 * [backup-simplify]: Simplify (* 1 1) into 1 1.391 * [backup-simplify]: Simplify (* (pow sin 2) 1) into (pow sin 2) 1.391 * [backup-simplify]: Simplify (* (pow x 2) (pow sin 2)) into (* (pow x 2) (pow sin 2)) 1.392 * [backup-simplify]: Simplify (/ 1 (* (pow x 2) (pow sin 2))) into (/ 1 (* (pow x 2) (pow sin 2))) 1.392 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (* (pow sin 2) (pow cos 2)))) in x 1.392 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (pow cos 2))) in x 1.392 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.392 * [taylor]: Taking taylor expansion of x in x 1.392 * [backup-simplify]: Simplify 0 into 0 1.392 * [backup-simplify]: Simplify 1 into 1 1.392 * [taylor]: Taking taylor expansion of (* (pow sin 2) (pow cos 2)) in x 1.392 * [taylor]: Taking taylor expansion of (pow sin 2) in x 1.392 * [taylor]: Taking taylor expansion of sin in x 1.392 * [backup-simplify]: Simplify sin into sin 1.392 * [taylor]: Taking taylor expansion of (pow cos 2) in x 1.392 * [taylor]: Taking taylor expansion of cos in x 1.392 * [backup-simplify]: Simplify cos into cos 1.392 * [backup-simplify]: Simplify (* 1 1) into 1 1.392 * [backup-simplify]: Simplify (* sin sin) into (pow sin 2) 1.393 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 1.393 * [backup-simplify]: Simplify (* (pow sin 2) (pow cos 2)) into (* (pow sin 2) (pow cos 2)) 1.393 * [backup-simplify]: Simplify (* 1 (* (pow sin 2) (pow cos 2))) into (* (pow sin 2) (pow cos 2)) 1.393 * [backup-simplify]: Simplify (/ 1 (* (pow sin 2) (pow cos 2))) into (/ 1 (* (pow sin 2) (pow cos 2))) 1.393 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (* (pow sin 2) (pow cos 2)))) in sin 1.393 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (pow cos 2))) in sin 1.393 * [taylor]: Taking taylor expansion of (pow x 2) in sin 1.393 * [taylor]: Taking taylor expansion of x in sin 1.393 * [backup-simplify]: Simplify x into x 1.393 * [taylor]: Taking taylor expansion of (* (pow sin 2) (pow cos 2)) in sin 1.393 * [taylor]: Taking taylor expansion of (pow sin 2) in sin 1.393 * [taylor]: Taking taylor expansion of sin in sin 1.393 * [backup-simplify]: Simplify 0 into 0 1.393 * [backup-simplify]: Simplify 1 into 1 1.393 * [taylor]: Taking taylor expansion of (pow cos 2) in sin 1.393 * [taylor]: Taking taylor expansion of cos in sin 1.393 * [backup-simplify]: Simplify cos into cos 1.393 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.394 * [backup-simplify]: Simplify (* 1 1) into 1 1.394 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 1.394 * [backup-simplify]: Simplify (* 1 (pow cos 2)) into (pow cos 2) 1.394 * [backup-simplify]: Simplify (* (pow x 2) (pow cos 2)) into (* (pow x 2) (pow cos 2)) 1.394 * [backup-simplify]: Simplify (/ 1 (* (pow x 2) (pow cos 2))) into (/ 1 (* (pow x 2) (pow cos 2))) 1.394 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (* (pow sin 2) (pow cos 2)))) in sin 1.394 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (pow cos 2))) in sin 1.394 * [taylor]: Taking taylor expansion of (pow x 2) in sin 1.394 * [taylor]: Taking taylor expansion of x in sin 1.394 * [backup-simplify]: Simplify x into x 1.395 * [taylor]: Taking taylor expansion of (* (pow sin 2) (pow cos 2)) in sin 1.395 * [taylor]: Taking taylor expansion of (pow sin 2) in sin 1.395 * [taylor]: Taking taylor expansion of sin in sin 1.395 * [backup-simplify]: Simplify 0 into 0 1.395 * [backup-simplify]: Simplify 1 into 1 1.395 * [taylor]: Taking taylor expansion of (pow cos 2) in sin 1.395 * [taylor]: Taking taylor expansion of cos in sin 1.395 * [backup-simplify]: Simplify cos into cos 1.395 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.395 * [backup-simplify]: Simplify (* 1 1) into 1 1.395 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 1.395 * [backup-simplify]: Simplify (* 1 (pow cos 2)) into (pow cos 2) 1.395 * [backup-simplify]: Simplify (* (pow x 2) (pow cos 2)) into (* (pow x 2) (pow cos 2)) 1.396 * [backup-simplify]: Simplify (/ 1 (* (pow x 2) (pow cos 2))) into (/ 1 (* (pow x 2) (pow cos 2))) 1.396 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow cos 2))) in x 1.396 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow cos 2)) in x 1.396 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.396 * [taylor]: Taking taylor expansion of x in x 1.396 * [backup-simplify]: Simplify 0 into 0 1.396 * [backup-simplify]: Simplify 1 into 1 1.396 * [taylor]: Taking taylor expansion of (pow cos 2) in x 1.396 * [taylor]: Taking taylor expansion of cos in x 1.396 * [backup-simplify]: Simplify cos into cos 1.396 * [backup-simplify]: Simplify (* 1 1) into 1 1.396 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 1.396 * [backup-simplify]: Simplify (* 1 (pow cos 2)) into (pow cos 2) 1.396 * [backup-simplify]: Simplify (/ 1 (pow cos 2)) into (/ 1 (pow cos 2)) 1.396 * [taylor]: Taking taylor expansion of (/ 1 (pow cos 2)) in cos 1.396 * [taylor]: Taking taylor expansion of (pow cos 2) in cos 1.396 * [taylor]: Taking taylor expansion of cos in cos 1.396 * [backup-simplify]: Simplify 0 into 0 1.396 * [backup-simplify]: Simplify 1 into 1 1.397 * [backup-simplify]: Simplify (* 1 1) into 1 1.397 * [backup-simplify]: Simplify (/ 1 1) into 1 1.397 * [backup-simplify]: Simplify 1 into 1 1.397 * [backup-simplify]: Simplify (+ (* cos 0) (* 0 cos)) into 0 1.397 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow cos 2))) into 0 1.398 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.398 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow cos 2))) into 0 1.398 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow x 2) (pow cos 2))) (/ 0 (* (pow x 2) (pow cos 2)))))) into 0 1.398 * [taylor]: Taking taylor expansion of 0 in x 1.398 * [backup-simplify]: Simplify 0 into 0 1.398 * [backup-simplify]: Simplify (+ (* cos 0) (* 0 cos)) into 0 1.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow cos 2))) into 0 1.399 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow cos 2)) (/ 0 (pow cos 2))))) into 0 1.399 * [taylor]: Taking taylor expansion of 0 in cos 1.399 * [backup-simplify]: Simplify 0 into 0 1.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.400 * [backup-simplify]: Simplify 0 into 0 1.400 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (* 0 cos))) into 0 1.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow cos 2)))) into 0 1.404 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.404 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 (pow cos 2)))) into 0 1.405 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow x 2) (pow cos 2))) (/ 0 (* (pow x 2) (pow cos 2)))) (* 0 (/ 0 (* (pow x 2) (pow cos 2)))))) into 0 1.405 * [taylor]: Taking taylor expansion of 0 in x 1.405 * [backup-simplify]: Simplify 0 into 0 1.405 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (* 0 cos))) into 0 1.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow cos 2)))) into 0 1.406 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow cos 2)) (/ 0 (pow cos 2))) (* 0 (/ 0 (pow cos 2))))) into 0 1.406 * [taylor]: Taking taylor expansion of 0 in cos 1.406 * [backup-simplify]: Simplify 0 into 0 1.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.407 * [backup-simplify]: Simplify 0 into 0 1.408 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos)))) into 0 1.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow cos 2))))) into 0 1.410 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 1.410 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow cos 2))))) into 0 1.411 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow x 2) (pow cos 2))) (/ 0 (* (pow x 2) (pow cos 2)))) (* 0 (/ 0 (* (pow x 2) (pow cos 2)))) (* 0 (/ 0 (* (pow x 2) (pow cos 2)))))) into 0 1.411 * [taylor]: Taking taylor expansion of 0 in x 1.411 * [backup-simplify]: Simplify 0 into 0 1.411 * [taylor]: Taking taylor expansion of 0 in cos 1.411 * [backup-simplify]: Simplify 0 into 0 1.411 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos)))) into 0 1.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow cos 2))))) into 0 1.413 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow cos 2)) (/ 0 (pow cos 2))) (* 0 (/ 0 (pow cos 2))) (* 0 (/ 0 (pow cos 2))))) into 0 1.413 * [taylor]: Taking taylor expansion of 0 in cos 1.413 * [backup-simplify]: Simplify 0 into 0 1.413 * [backup-simplify]: Simplify 0 into 0 1.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.414 * [backup-simplify]: Simplify 0 into 0 1.415 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))) into 0 1.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow cos 2)))))) into 0 1.418 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 1.418 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow cos 2)))))) into 0 1.419 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow x 2) (pow cos 2))) (/ 0 (* (pow x 2) (pow cos 2)))) (* 0 (/ 0 (* (pow x 2) (pow cos 2)))) (* 0 (/ 0 (* (pow x 2) (pow cos 2)))) (* 0 (/ 0 (* (pow x 2) (pow cos 2)))))) into 0 1.419 * [taylor]: Taking taylor expansion of 0 in x 1.419 * [backup-simplify]: Simplify 0 into 0 1.419 * [taylor]: Taking taylor expansion of 0 in cos 1.419 * [backup-simplify]: Simplify 0 into 0 1.419 * [taylor]: Taking taylor expansion of 0 in cos 1.419 * [backup-simplify]: Simplify 0 into 0 1.420 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))) into 0 1.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow cos 2)))))) into 0 1.422 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow cos 2)) (/ 0 (pow cos 2))) (* 0 (/ 0 (pow cos 2))) (* 0 (/ 0 (pow cos 2))) (* 0 (/ 0 (pow cos 2))))) into 0 1.422 * [taylor]: Taking taylor expansion of 0 in cos 1.422 * [backup-simplify]: Simplify 0 into 0 1.422 * [backup-simplify]: Simplify 0 into 0 1.422 * [backup-simplify]: Simplify 0 into 0 1.422 * [backup-simplify]: Simplify (* 1 (pow (* (/ 1 (/ 1 (- cos))) (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- sin))))) 2)) into (* (pow x 2) (* (pow cos 2) (pow sin 2))) 1.422 * * * [progress]: simplifying candidates 1.422 * * * * [progress]: [ 1 / 154 ] simplifiying candidate # 1.422 * * * * [progress]: [ 2 / 154 ] simplifiying candidate # 1.422 * * * * [progress]: [ 3 / 154 ] simplifiying candidate # 1.422 * * * * [progress]: [ 4 / 154 ] simplifiying candidate # 1.422 * * * * [progress]: [ 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1.428 * * * * [progress]: [ 145 / 154 ] simplifiying candidate # 1.428 * * * * [progress]: [ 146 / 154 ] simplifiying candidate # 1.428 * * * * [progress]: [ 147 / 154 ] simplifiying candidate # 1.428 * * * * [progress]: [ 148 / 154 ] simplifiying candidate # 1.428 * * * * [progress]: [ 149 / 154 ] simplifiying candidate # 1.428 * * * * [progress]: [ 150 / 154 ] simplifiying candidate # 1.428 * * * * [progress]: [ 151 / 154 ] simplifiying candidate # 1.428 * * * * [progress]: [ 152 / 154 ] simplifiying candidate # 1.428 * * * * [progress]: [ 153 / 154 ] simplifiying candidate # 1.428 * * * * [progress]: [ 154 / 154 ] simplifiying candidate # 1.429 * [simplify]: Simplifying: (expm1 (* (* sin x) cos)) (log1p (* (* sin x) cos)) (* (* sin x) cos) (* (* sin x) cos) (+ (+ (log sin) (log x)) (log cos)) (+ (log (* sin x)) (log cos)) (log (* (* sin x) cos)) (exp (* (* sin x) cos)) (* (* (* (* sin sin) sin) (* (* x x) x)) (* (* cos cos) cos)) (* (* (* (* sin x) (* sin x)) (* sin x)) (* (* cos cos) cos)) (* (cbrt (* (* sin x) cos)) (cbrt (* (* sin x) cos))) (cbrt (* (* sin x) cos)) (* (* (* (* sin x) cos) (* (* sin x) cos)) (* (* sin x) cos)) (sqrt (* (* sin x) cos)) (sqrt (* (* sin x) cos)) (* (* sin x) (* (cbrt cos) (cbrt cos))) (* (* sin x) (sqrt cos)) (* (* sin x) 1) (* x cos) (expm1 (* (* sin x) cos)) (log1p (* (* sin x) cos)) (* (* sin x) cos) (* (* sin x) cos) (+ (+ (log sin) (log x)) (log cos)) (+ (log (* sin x)) (log cos)) (log (* (* sin x) cos)) (exp (* (* sin x) cos)) (* (* (* (* sin sin) sin) (* (* x x) x)) (* (* cos cos) cos)) (* (* (* (* sin x) (* sin x)) (* sin x)) (* (* cos cos) cos)) (* (cbrt (* (* sin x) cos)) (cbrt (* (* sin x) cos))) (cbrt (* (* sin x) cos)) (* (* (* (* sin x) cos) (* (* sin x) cos)) (* (* sin x) cos)) (sqrt (* (* sin x) cos)) (sqrt (* (* sin x) cos)) (* (* sin x) (* (cbrt cos) (cbrt cos))) (* (* sin x) (sqrt cos)) (* (* sin x) 1) (* x cos) (expm1 (/ (cos (* 2 x)) (* (* (* sin x) cos) (* (* sin x) cos)))) (log1p (/ (cos (* 2 x)) (* (* (* sin x) cos) (* (* sin x) cos)))) (- (log (cos (* 2 x))) (+ (+ (+ (log sin) (log x)) (log cos)) (+ (+ (log sin) (log x)) (log cos)))) (- (log (cos (* 2 x))) (+ (+ (+ (log sin) (log x)) (log cos)) (+ (log (* sin x)) (log cos)))) (- (log (cos (* 2 x))) (+ (+ (+ (log sin) (log x)) (log cos)) (log (* (* sin x) cos)))) (- (log (cos (* 2 x))) (+ (+ (log (* sin x)) (log cos)) (+ (+ (log sin) (log x)) (log cos)))) (- (log (cos (* 2 x))) (+ (+ (log (* sin x)) (log cos)) (+ (log (* sin x)) (log cos)))) (- (log (cos (* 2 x))) (+ (+ (log (* sin x)) (log cos)) (log (* (* sin x) cos)))) (- (log (cos (* 2 x))) (+ (log (* (* sin x) cos)) (+ (+ (log sin) (log x)) (log cos)))) (- (log (cos (* 2 x))) (+ (log (* (* sin x) cos)) (+ (log (* sin x)) (log cos)))) (- (log (cos (* 2 x))) (+ (log (* (* sin x) cos)) (log (* (* sin x) cos)))) (- (log (cos (* 2 x))) (log (* (* (* sin x) cos) (* (* sin x) cos)))) (log (/ (cos (* 2 x)) (* (* (* sin x) cos) (* (* sin x) cos)))) (exp (/ (cos (* 2 x)) (* (* (* sin x) cos) (* (* sin x) cos)))) (/ (* (* (cos (* 2 x)) (cos (* 2 x))) (cos (* 2 x))) (* (* (* (* (* sin sin) sin) (* (* x x) x)) (* (* cos cos) cos)) (* (* (* (* sin sin) sin) (* (* x x) x)) (* (* cos cos) cos)))) (/ (* (* (cos (* 2 x)) (cos (* 2 x))) (cos (* 2 x))) (* (* (* (* (* sin sin) sin) (* (* x x) x)) (* (* cos cos) cos)) (* (* (* (* sin x) (* sin x)) (* sin x)) (* (* cos cos) cos)))) (/ (* (* (cos (* 2 x)) (cos (* 2 x))) (cos (* 2 x))) (* (* (* (* (* sin sin) sin) (* (* x x) x)) (* (* cos cos) cos)) (* (* (* (* sin x) cos) (* (* sin x) cos)) (* (* sin x) cos)))) (/ (* (* (cos (* 2 x)) (cos (* 2 x))) (cos (* 2 x))) (* (* (* (* (* sin x) (* sin x)) (* sin x)) (* (* cos cos) cos)) (* (* (* (* sin sin) sin) (* (* x x) x)) (* (* cos cos) cos)))) (/ (* (* (cos (* 2 x)) (cos (* 2 x))) (cos (* 2 x))) (* (* (* (* (* sin x) (* sin x)) (* sin x)) (* (* cos cos) cos)) (* (* (* (* sin x) (* sin x)) (* sin x)) (* (* cos cos) cos)))) (/ (* (* (cos (* 2 x)) (cos (* 2 x))) (cos (* 2 x))) (* (* (* (* (* sin x) (* sin x)) (* sin x)) (* (* cos cos) cos)) (* (* (* (* sin x) cos) (* (* sin x) cos)) (* (* sin x) cos)))) (/ (* (* (cos (* 2 x)) (cos (* 2 x))) (cos (* 2 x))) (* (* (* (* (* sin x) cos) (* (* sin x) cos)) (* (* sin x) cos)) (* (* (* (* sin sin) sin) (* (* x x) x)) (* (* cos cos) cos)))) (/ (* (* (cos (* 2 x)) (cos (* 2 x))) (cos (* 2 x))) (* (* (* (* (* sin x) cos) (* (* sin x) cos)) (* (* sin x) cos)) (* (* (* (* sin x) (* sin x)) (* sin x)) (* (* cos cos) cos)))) (/ (* (* (cos (* 2 x)) (cos (* 2 x))) (cos (* 2 x))) (* (* (* (* (* sin x) cos) (* (* sin x) cos)) (* (* sin x) cos)) (* (* (* (* sin x) cos) (* (* sin x) cos)) (* (* sin x) cos)))) (/ (* (* (cos (* 2 x)) (cos (* 2 x))) (cos (* 2 x))) (* (* (* (* (* sin x) cos) (* (* sin x) cos)) (* (* (* sin x) cos) (* (* sin x) cos))) (* (* (* sin x) cos) (* (* sin x) cos)))) (* (cbrt (/ (cos (* 2 x)) (* (* (* sin x) cos) (* (* sin x) cos)))) (cbrt (/ (cos (* 2 x)) (* (* (* sin x) cos) (* (* sin x) cos))))) (cbrt (/ (cos (* 2 x)) (* (* (* sin x) cos) (* (* sin x) cos)))) (* (* (/ (cos (* 2 x)) (* (* (* sin x) cos) (* (* sin x) cos))) (/ (cos (* 2 x)) (* (* (* sin x) cos) (* (* sin x) cos)))) (/ (cos (* 2 x)) (* (* (* sin x) cos) (* (* sin x) cos)))) (sqrt (/ (cos (* 2 x)) (* (* (* sin x) cos) (* (* sin x) cos)))) (sqrt (/ (cos (* 2 x)) (* (* (* sin x) cos) (* (* sin x) cos)))) (- (cos (* 2 x))) (- (* (* (* sin x) cos) (* (* sin x) cos))) (/ (* (cos x) (cos x)) (* (* (* sin x) cos) (* (* sin x) cos))) (/ (* (sin x) (sin x)) (* (* (* sin x) cos) (* (* sin x) cos))) (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (* (* sin x) cos)) (/ (cbrt (cos (* 2 x))) (* (* sin x) cos)) (/ (sqrt (cos (* 2 x))) (* (* sin x) cos)) (/ (sqrt (cos (* 2 x))) (* (* sin x) cos)) (/ 1 (* (* sin x) cos)) (/ (cos (* 2 x)) (* (* sin x) cos)) (/ 1 (* (* (* sin x) cos) (* (* sin x) cos))) (/ (* (* (* sin x) cos) (* (* sin x) cos)) (cos (* 2 x))) (/ (cos (* 2 x)) (* (* sin x) cos)) (/ (* (* (* sin x) cos) (* (* sin x) cos)) (cbrt (cos (* 2 x)))) (/ (* (* (* sin x) cos) (* (* sin x) cos)) (sqrt (cos (* 2 x)))) (/ (* (* (* sin x) cos) (* (* sin x) cos)) (cos (* 2 x))) (expm1 (* (* (* sin x) cos) (* (* sin x) cos))) (log1p (* (* (* sin x) cos) (* (* sin x) cos))) (+ 1 1) (+ 1 1) (+ 1 1) (+ 1 1) (+ 1 1) (+ 1 1) (+ 1 1) (+ 1 1) (+ 1 1) (* (* (* sin x) cos) (* (* sin x) cos)) (* (* (* sin x) cos) (* (* sin x) cos)) (* (* (* sin x) cos) (* (* sin x) cos)) (* (* (* sin x) cos) (* (* sin x) cos)) (* (* (* sin x) cos) (* (* sin x) cos)) (* (* (* sin x) cos) (* (* sin x) cos)) (* (* (* sin x) cos) (* (* sin x) cos)) (* (* (* sin x) cos) (* (* sin x) cos)) (* (* (* sin x) cos) (* (* sin x) cos)) (+ 1 1) (+ 1 1) (+ 1 1) (+ (+ (+ (log sin) (log x)) (log cos)) (+ (+ (log sin) (log x)) (log cos))) (+ (+ (+ (log sin) (log x)) (log cos)) (+ (log (* sin x)) (log cos))) (+ (+ (+ (log sin) (log x)) (log cos)) (log (* (* sin x) cos))) (+ (+ (log (* sin x)) (log cos)) (+ (+ (log sin) (log x)) (log cos))) (+ (+ (log (* sin x)) (log cos)) (+ (log (* sin x)) (log cos))) (+ (+ (log (* sin x)) (log cos)) (log (* (* sin x) cos))) (+ (log (* (* sin x) cos)) (+ (+ (log sin) (log x)) (log cos))) (+ (log (* (* sin x) cos)) (+ (log (* sin x)) (log cos))) (+ (log (* (* sin x) cos)) (log (* (* sin x) cos))) (log (* (* (* sin x) cos) (* (* sin x) cos))) (exp (* (* (* sin x) cos) (* (* sin x) cos))) (* (* (* (* (* sin sin) sin) (* (* x x) x)) (* (* cos cos) cos)) (* (* (* (* sin sin) sin) (* (* x x) x)) (* (* cos cos) cos))) (* (* (* (* (* sin sin) sin) (* (* x x) x)) (* (* cos cos) cos)) (* (* (* (* sin x) (* sin x)) (* sin x)) (* (* cos cos) cos))) (* (* (* (* (* sin sin) sin) (* (* x x) x)) (* (* cos cos) cos)) (* (* (* (* sin x) cos) (* (* sin x) cos)) (* (* sin x) cos))) (* (* (* (* (* sin x) (* sin x)) (* sin x)) (* (* cos cos) cos)) (* (* (* (* sin sin) sin) (* (* x x) x)) (* (* cos cos) cos))) (* (* (* (* (* sin x) (* sin x)) (* sin x)) (* (* cos cos) cos)) (* (* (* (* sin x) (* sin x)) (* sin x)) (* (* cos cos) cos))) (* (* (* (* (* sin x) (* sin x)) (* sin x)) (* (* cos cos) cos)) (* (* (* (* sin x) cos) (* (* sin x) cos)) (* (* sin x) cos))) (* (* (* (* (* sin x) cos) (* (* sin x) cos)) (* (* sin x) cos)) (* (* (* (* sin sin) sin) (* (* x x) x)) (* (* cos cos) cos))) (* (* (* (* (* sin x) cos) (* (* sin x) cos)) (* (* sin x) cos)) (* (* (* (* sin x) (* sin x)) (* sin x)) (* (* cos cos) cos))) (* (* (* (* (* sin x) cos) (* (* sin x) cos)) (* (* sin x) cos)) (* (* (* (* sin x) cos) (* (* sin x) cos)) (* (* sin x) cos))) (* (cbrt (* (* (* sin x) cos) (* (* sin x) cos))) (cbrt (* (* (* sin x) cos) (* (* sin x) cos)))) (cbrt (* (* (* sin x) cos) (* (* sin x) cos))) (* (* (* (* (* sin x) cos) (* (* sin x) cos)) (* (* (* sin x) cos) (* (* sin x) cos))) (* (* (* sin x) cos) (* (* sin x) cos))) (sqrt (* (* (* sin x) cos) (* (* sin x) cos))) (sqrt (* (* (* sin x) cos) (* (* sin x) cos))) (* (* sin x) (* sin x)) (* cos cos) (* 2 1) (* 2 1) (* 2 1) (* 2 1) (* 2 1) (* 2 1) (* 2 1) (* 2 1) (* 2 1) (* (* (* sin x) cos) (* sin x)) (* cos (* (* sin x) cos)) 0 (* x (* cos sin)) (* x (* cos sin)) 0 (* x (* cos sin)) (* x (* cos sin)) (- (+ (/ 1 (* (pow x 2) (* (pow cos 2) (pow sin 2)))) (* 2/3 (/ (pow x 2) (* (pow cos 2) (pow sin 2))))) (* 2 (/ 1 (* (pow cos 2) (pow sin 2))))) (/ (cos (* 2 x)) (* (pow sin 2) (* (pow x 2) (pow cos 2)))) (/ (cos (* 2 x)) (* (pow sin 2) (* (pow x 2) (pow cos 2)))) (* (pow x 2) (* (pow cos 2) (pow sin 2))) (* (pow x 2) (* (pow cos 2) (pow sin 2))) (* (pow x 2) (* (pow cos 2) (pow sin 2))) 1.431 * * [simplify]: iteration 1: (146 enodes) 1.479 * * [simplify]: iteration 2: (416 enodes) 1.726 * * [simplify]: iteration 3: (1842 enodes) 9.484 * * [simplify]: Extracting #0: cost 51 inf + 0 9.488 * * [simplify]: Extracting #1: cost 1827 inf + 2 9.509 * * [simplify]: Extracting #2: cost 4081 inf + 4529 9.590 * * [simplify]: Extracting #3: cost 3051 inf + 260406 9.878 * * [simplify]: Extracting #4: cost 550 inf + 1035531 10.251 * * [simplify]: Extracting #5: cost 2 inf + 1201838 10.573 * * [simplify]: Extracting #6: cost 0 inf + 1194906 11.003 * * [simplify]: Extracting #7: cost 0 inf + 1194746 11.463 * [simplify]: Simplified to: (expm1 (* sin (* cos x))) (log1p (* sin (* cos x))) (* sin (* cos x)) (* sin (* cos x)) (log (* sin (* cos x))) (log (* sin (* cos x))) (log (* sin (* cos x))) (exp (* sin (* cos x))) (* (* (* sin (* cos x)) (* sin (* cos x))) (* sin (* cos x))) (* (* (* sin (* cos x)) (* sin (* cos x))) (* sin (* cos x))) (* (cbrt (* sin (* cos x))) (cbrt (* sin (* cos x)))) (cbrt (* sin (* cos x))) (* (* (* sin (* cos x)) (* sin (* cos x))) (* sin (* cos x))) (sqrt (* sin (* cos x))) (sqrt (* sin (* cos x))) (* (* (cbrt cos) (* (cbrt cos) sin)) x) (* (sqrt cos) (* sin x)) (* sin x) (* cos x) (expm1 (* sin (* cos x))) (log1p (* sin (* cos x))) (* sin (* cos x)) (* sin (* cos x)) (log (* sin (* cos x))) (log (* sin (* cos x))) (log (* sin (* cos x))) (exp (* sin (* cos x))) (* (* (* sin (* cos x)) (* sin (* cos x))) (* sin (* cos x))) (* (* (* sin (* cos x)) (* sin (* cos x))) (* sin (* cos x))) (* (cbrt (* sin (* cos x))) (cbrt (* sin (* cos x)))) (cbrt (* sin (* cos x))) (* (* (* sin (* cos x)) (* sin (* cos x))) (* sin (* cos x))) (sqrt (* sin (* cos x))) (sqrt (* sin (* cos x))) (* (* (cbrt cos) (* (cbrt cos) sin)) x) (* (sqrt cos) (* sin x)) (* sin x) (* cos x) (expm1 (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x))))) (log1p (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x))))) (log (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x))))) (log (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x))))) (log (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x))))) (log (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x))))) (log (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x))))) (log (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x))))) (log (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x))))) (log (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x))))) (log (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x))))) (log (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x))))) (log (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x))))) (exp (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x))))) (* (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x)))) (* (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x)))) (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x)))))) (* (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x)))) (* (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x)))) (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x)))))) (* (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x)))) (* (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x)))) (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x)))))) (* (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x)))) (* (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x)))) (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x)))))) (* (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x)))) (* (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x)))) (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x)))))) (* (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x)))) (* (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x)))) (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x)))))) (* (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x)))) (* (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x)))) (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x)))))) (* (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x)))) (* (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x)))) (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x)))))) (* (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x)))) (* (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x)))) (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x)))))) (* (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x)))) (* (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x)))) (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x)))))) (* (cbrt (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x))))) (cbrt (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x)))))) (cbrt (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x))))) (* (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x)))) (* (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x)))) (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x)))))) (sqrt (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x))))) (sqrt (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x))))) (- (cos (* 2 x))) (- (* (* sin (* cos x)) (* sin (* cos x)))) (* (/ (cos x) (* sin (* cos x))) (/ (cos x) (* sin (* cos x)))) (* (/ (/ (sin x) sin) (* cos x)) (/ (/ (sin x) sin) (* cos x))) (/ (/ (* (/ (cbrt (cos (* 2 x))) cos) (cbrt (cos (* 2 x)))) sin) x) (/ (/ (cbrt (cos (* 2 x))) sin) (* cos x)) (/ (/ (sqrt (cos (* 2 x))) sin) (* cos x)) (/ (/ (sqrt (cos (* 2 x))) sin) (* cos x)) (/ (/ 1 cos) (* sin x)) (/ (/ (cos (* 2 x)) sin) (* cos x)) (/ 1 (* (* sin (* cos x)) (* sin (* cos x)))) (/ (* (* sin (* cos x)) (* sin (* cos x))) (cos (* 2 x))) (/ (/ (cos (* 2 x)) sin) (* cos x)) (/ (* (* sin (* cos x)) (* sin (* cos x))) (cbrt (cos (* 2 x)))) (/ (* (* sin (* cos x)) (* sin (* cos x))) (sqrt (cos (* 2 x)))) (/ (* (* sin (* cos x)) (* sin (* cos x))) (cos (* 2 x))) (expm1 (* (* sin (* cos x)) (* sin (* cos x)))) (log1p (* (* sin (* cos x)) (* sin (* cos x)))) 2 2 2 2 2 2 2 2 2 (* (* sin (* cos x)) (* sin (* cos x))) (* (* sin (* cos x)) (* sin (* cos x))) (* (* sin (* cos x)) (* sin (* cos x))) (* (* sin (* cos x)) (* sin (* cos x))) (* (* sin (* cos x)) (* sin (* cos x))) (* (* sin (* cos x)) (* sin (* cos x))) (* (* sin (* cos x)) (* sin (* cos x))) (* (* sin (* cos x)) (* sin (* cos x))) (* (* sin (* cos x)) (* sin (* cos x))) 2 2 2 (+ (log (* sin (* cos x))) (log (* sin (* cos x)))) (+ (log (* sin (* cos x))) (log (* sin (* cos x)))) (+ (log (* sin (* cos x))) (log (* sin (* cos x)))) (+ (log (* sin (* cos x))) (log (* sin (* cos x)))) (+ (log (* sin (* cos x))) (log (* sin (* cos x)))) (+ (log (* sin (* cos x))) (log (* sin (* cos x)))) (+ (log (* sin (* cos x))) (log (* sin (* cos x)))) (+ (log (* sin (* cos x))) (log (* sin (* cos x)))) (+ (log (* sin (* cos x))) (log (* sin (* cos x)))) (+ (log (* sin (* cos x))) (log (* sin (* cos x)))) (exp (* (* sin (* cos x)) (* sin (* cos x)))) (* (* (* sin (* cos x)) (* sin (* cos x))) (* (* (* sin (* cos x)) (* sin (* cos x))) (* (* sin (* cos x)) (* sin (* cos x))))) (* (* (* sin (* cos x)) (* sin (* cos x))) (* (* (* sin (* cos x)) (* sin (* cos x))) (* (* sin (* cos x)) (* sin (* cos x))))) (* (* (* sin (* cos x)) (* sin (* cos x))) (* (* (* sin (* cos x)) (* sin (* cos x))) (* (* sin (* cos x)) (* sin (* cos x))))) (* (* (* sin (* cos x)) (* sin (* cos x))) (* (* (* sin (* cos x)) (* sin (* cos x))) (* (* sin (* cos x)) (* sin (* cos x))))) (* (* (* sin (* cos x)) (* sin (* cos x))) (* (* (* sin (* cos x)) (* sin (* cos x))) (* (* sin (* cos x)) (* sin (* cos x))))) (* (* (* sin (* cos x)) (* sin (* cos x))) (* (* (* sin (* cos x)) (* sin (* cos x))) (* (* sin (* cos x)) (* sin (* cos x))))) (* (* (* sin (* cos x)) (* sin (* cos x))) (* (* (* sin (* cos x)) (* sin (* cos x))) (* (* sin (* cos x)) (* sin (* cos x))))) (* (* (* sin (* cos x)) (* sin (* cos x))) (* (* (* sin (* cos x)) (* sin (* cos x))) (* (* sin (* cos x)) (* sin (* cos x))))) (* (* (* sin (* cos x)) (* sin (* cos x))) (* (* (* sin (* cos x)) (* sin (* cos x))) (* (* sin (* cos x)) (* sin (* cos x))))) (* (cbrt (* (* sin (* cos x)) (* sin (* cos x)))) (cbrt (* (* sin (* cos x)) (* sin (* cos x))))) (cbrt (* (* sin (* cos x)) (* sin (* cos x)))) (* (* (* sin (* cos x)) (* sin (* cos x))) (* (* (* sin (* cos x)) (* sin (* cos x))) (* (* sin (* cos x)) (* sin (* cos x))))) (fabs (* sin (* cos x))) (fabs (* sin (* cos x))) (* (* sin x) (* sin x)) (* cos cos) 2 2 2 2 2 2 2 2 2 (* (* (* sin x) cos) (* sin x)) (* (* cos sin) (* cos x)) 0 (* sin (* cos x)) (* sin (* cos x)) 0 (* sin (* cos x)) (* sin (* cos x)) (fma 2/3 (* (/ x (* cos sin)) (/ x (* cos sin))) (+ (/ 1 (* (* sin (* cos x)) (* sin (* cos x)))) (/ -2 (* (* cos sin) (* cos sin))))) (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x)))) (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x)))) (* (* sin (* cos x)) (* sin (* cos x))) (* (* sin (* cos x)) (* sin (* cos x))) (* (* sin (* cos x)) (* sin (* cos x))) 11.474 * * * [progress]: adding candidates to table 13.144 * * [progress]: iteration 2 / 4 13.144 * * * [progress]: picking best candidate 13.180 * * * * [pick]: Picked # 13.180 * * * [progress]: localizing error 13.198 * * * [progress]: generating rewritten candidates 13.198 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 13.210 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 13.222 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 13.284 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 13.349 * * * [progress]: generating series expansions 13.349 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 13.349 * [backup-simplify]: Simplify (* sin (* cos x)) into (* x (* sin cos)) 13.349 * [approximate]: Taking taylor expansion of (* x (* sin cos)) in (sin cos x) around 0 13.349 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in x 13.349 * [taylor]: Taking taylor expansion of x in x 13.349 * [backup-simplify]: Simplify 0 into 0 13.349 * [backup-simplify]: Simplify 1 into 1 13.349 * [taylor]: Taking taylor expansion of (* sin cos) in x 13.349 * [taylor]: Taking taylor expansion of sin in x 13.349 * [backup-simplify]: Simplify sin into sin 13.349 * [taylor]: Taking taylor expansion of cos in x 13.349 * [backup-simplify]: Simplify cos into cos 13.349 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in cos 13.349 * [taylor]: Taking taylor expansion of x in cos 13.349 * [backup-simplify]: Simplify x into x 13.349 * [taylor]: Taking taylor expansion of (* sin cos) in cos 13.349 * [taylor]: Taking taylor expansion of sin in cos 13.349 * [backup-simplify]: Simplify sin into sin 13.349 * [taylor]: Taking taylor expansion of cos in cos 13.349 * [backup-simplify]: Simplify 0 into 0 13.349 * [backup-simplify]: Simplify 1 into 1 13.349 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in sin 13.349 * [taylor]: Taking taylor expansion of x in sin 13.349 * [backup-simplify]: Simplify x into x 13.349 * [taylor]: Taking taylor expansion of (* sin cos) in sin 13.349 * [taylor]: Taking taylor expansion of sin in sin 13.349 * [backup-simplify]: Simplify 0 into 0 13.349 * [backup-simplify]: Simplify 1 into 1 13.349 * [taylor]: Taking taylor expansion of cos in sin 13.349 * [backup-simplify]: Simplify cos into cos 13.349 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in sin 13.349 * [taylor]: Taking taylor expansion of x in sin 13.349 * [backup-simplify]: Simplify x into x 13.349 * [taylor]: Taking taylor expansion of (* sin cos) in sin 13.349 * [taylor]: Taking taylor expansion of sin in sin 13.349 * [backup-simplify]: Simplify 0 into 0 13.349 * [backup-simplify]: Simplify 1 into 1 13.349 * [taylor]: Taking taylor expansion of cos in sin 13.349 * [backup-simplify]: Simplify cos into cos 13.349 * [backup-simplify]: Simplify (* 0 cos) into 0 13.349 * [backup-simplify]: Simplify (* x 0) into 0 13.349 * [taylor]: Taking taylor expansion of 0 in cos 13.349 * [backup-simplify]: Simplify 0 into 0 13.350 * [taylor]: Taking taylor expansion of 0 in x 13.350 * [backup-simplify]: Simplify 0 into 0 13.350 * [backup-simplify]: Simplify 0 into 0 13.350 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 cos)) into cos 13.350 * [backup-simplify]: Simplify (+ (* x cos) (* 0 0)) into (* x cos) 13.350 * [taylor]: Taking taylor expansion of (* x cos) in cos 13.351 * [taylor]: Taking taylor expansion of x in cos 13.351 * [backup-simplify]: Simplify x into x 13.351 * [taylor]: Taking taylor expansion of cos in cos 13.351 * [backup-simplify]: Simplify 0 into 0 13.351 * [backup-simplify]: Simplify 1 into 1 13.351 * [backup-simplify]: Simplify (* x 0) into 0 13.351 * [taylor]: Taking taylor expansion of 0 in x 13.351 * [backup-simplify]: Simplify 0 into 0 13.351 * [backup-simplify]: Simplify 0 into 0 13.351 * [taylor]: Taking taylor expansion of 0 in x 13.351 * [backup-simplify]: Simplify 0 into 0 13.351 * [backup-simplify]: Simplify 0 into 0 13.351 * [backup-simplify]: Simplify 0 into 0 13.351 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 13.352 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 cos) (* 0 0))) into 0 13.352 * [taylor]: Taking taylor expansion of 0 in cos 13.352 * [backup-simplify]: Simplify 0 into 0 13.352 * [taylor]: Taking taylor expansion of 0 in x 13.352 * [backup-simplify]: Simplify 0 into 0 13.352 * [backup-simplify]: Simplify 0 into 0 13.352 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 13.352 * [taylor]: Taking taylor expansion of x in x 13.352 * [backup-simplify]: Simplify 0 into 0 13.352 * [backup-simplify]: Simplify 1 into 1 13.352 * [backup-simplify]: Simplify 0 into 0 13.352 * [backup-simplify]: Simplify 0 into 0 13.352 * [backup-simplify]: Simplify (* (/ 1 sin) (* (/ 1 cos) (/ 1 x))) into (/ 1 (* x (* sin cos))) 13.352 * [approximate]: Taking taylor expansion of (/ 1 (* x (* sin cos))) in (sin cos x) around 0 13.352 * [taylor]: Taking taylor expansion of (/ 1 (* x (* sin cos))) in x 13.352 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in x 13.352 * [taylor]: Taking taylor expansion of x in x 13.352 * [backup-simplify]: Simplify 0 into 0 13.352 * [backup-simplify]: Simplify 1 into 1 13.352 * [taylor]: Taking taylor expansion of (* sin cos) in x 13.352 * [taylor]: Taking taylor expansion of sin in x 13.352 * [backup-simplify]: Simplify sin into sin 13.352 * [taylor]: Taking taylor expansion of cos in x 13.352 * [backup-simplify]: Simplify cos into cos 13.352 * [backup-simplify]: Simplify (* sin cos) into (* sin cos) 13.352 * [backup-simplify]: Simplify (* 0 (* sin cos)) into 0 13.352 * [backup-simplify]: Simplify (+ (* sin 0) (* 0 cos)) into 0 13.353 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* sin cos))) into (* sin cos) 13.353 * [backup-simplify]: Simplify (/ 1 (* sin cos)) into (/ 1 (* sin cos)) 13.353 * [taylor]: Taking taylor expansion of (/ 1 (* x (* sin cos))) in cos 13.353 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in cos 13.353 * [taylor]: Taking taylor expansion of x in cos 13.353 * [backup-simplify]: Simplify x into x 13.353 * [taylor]: Taking taylor expansion of (* sin cos) in cos 13.353 * [taylor]: Taking taylor expansion of sin in cos 13.353 * [backup-simplify]: Simplify sin into sin 13.353 * [taylor]: Taking taylor expansion of cos in cos 13.353 * [backup-simplify]: Simplify 0 into 0 13.353 * [backup-simplify]: Simplify 1 into 1 13.353 * [backup-simplify]: Simplify (* sin 0) into 0 13.353 * [backup-simplify]: Simplify (* x 0) into 0 13.353 * [backup-simplify]: Simplify (+ (* sin 1) (* 0 0)) into sin 13.353 * [backup-simplify]: Simplify (+ (* x sin) (* 0 0)) into (* x sin) 13.354 * [backup-simplify]: Simplify (/ 1 (* x sin)) into (/ 1 (* x sin)) 13.354 * [taylor]: Taking taylor expansion of (/ 1 (* x (* sin cos))) in sin 13.354 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in sin 13.354 * [taylor]: Taking taylor expansion of x in sin 13.354 * [backup-simplify]: Simplify x into x 13.354 * [taylor]: Taking taylor expansion of (* sin cos) in sin 13.354 * [taylor]: Taking taylor expansion of sin in sin 13.354 * [backup-simplify]: Simplify 0 into 0 13.354 * [backup-simplify]: Simplify 1 into 1 13.354 * [taylor]: Taking taylor expansion of cos in sin 13.354 * [backup-simplify]: Simplify cos into cos 13.354 * [backup-simplify]: Simplify (* 0 cos) into 0 13.354 * [backup-simplify]: Simplify (* x 0) into 0 13.354 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 cos)) into cos 13.354 * [backup-simplify]: Simplify (+ (* x cos) (* 0 0)) into (* x cos) 13.354 * [backup-simplify]: Simplify (/ 1 (* x cos)) into (/ 1 (* x cos)) 13.354 * [taylor]: Taking taylor expansion of (/ 1 (* x (* sin cos))) in sin 13.354 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in sin 13.354 * [taylor]: Taking taylor expansion of x in sin 13.354 * [backup-simplify]: Simplify x into x 13.354 * [taylor]: Taking taylor expansion of (* sin cos) in sin 13.354 * [taylor]: Taking taylor expansion of sin in sin 13.354 * [backup-simplify]: Simplify 0 into 0 13.354 * [backup-simplify]: Simplify 1 into 1 13.355 * [taylor]: Taking taylor expansion of cos in sin 13.355 * [backup-simplify]: Simplify cos into cos 13.355 * [backup-simplify]: Simplify (* 0 cos) into 0 13.355 * [backup-simplify]: Simplify (* x 0) into 0 13.355 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 cos)) into cos 13.355 * [backup-simplify]: Simplify (+ (* x cos) (* 0 0)) into (* x cos) 13.355 * [backup-simplify]: Simplify (/ 1 (* x cos)) into (/ 1 (* x cos)) 13.355 * [taylor]: Taking taylor expansion of (/ 1 (* x cos)) in cos 13.355 * [taylor]: Taking taylor expansion of (* x cos) in cos 13.355 * [taylor]: Taking taylor expansion of x in cos 13.355 * [backup-simplify]: Simplify x into x 13.355 * [taylor]: Taking taylor expansion of cos in cos 13.355 * [backup-simplify]: Simplify 0 into 0 13.355 * [backup-simplify]: Simplify 1 into 1 13.355 * [backup-simplify]: Simplify (* x 0) into 0 13.356 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 13.356 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 13.356 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.356 * [taylor]: Taking taylor expansion of x in x 13.356 * [backup-simplify]: Simplify 0 into 0 13.356 * [backup-simplify]: Simplify 1 into 1 13.356 * [backup-simplify]: Simplify (/ 1 1) into 1 13.356 * [backup-simplify]: Simplify 1 into 1 13.357 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 13.357 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 cos) (* 0 0))) into 0 13.357 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* x cos)) (/ 0 (* x cos))))) into 0 13.357 * [taylor]: Taking taylor expansion of 0 in cos 13.357 * [backup-simplify]: Simplify 0 into 0 13.358 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 13.358 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 13.358 * [taylor]: Taking taylor expansion of 0 in x 13.358 * [backup-simplify]: Simplify 0 into 0 13.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.359 * [backup-simplify]: Simplify 0 into 0 13.360 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 cos)))) into 0 13.361 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 cos) (* 0 0)))) into 0 13.362 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* x cos)) (/ 0 (* x cos))) (* 0 (/ 0 (* x cos))))) into 0 13.362 * [taylor]: Taking taylor expansion of 0 in cos 13.362 * [backup-simplify]: Simplify 0 into 0 13.362 * [taylor]: Taking taylor expansion of 0 in x 13.362 * [backup-simplify]: Simplify 0 into 0 13.362 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 13.363 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 13.363 * [taylor]: Taking taylor expansion of 0 in x 13.363 * [backup-simplify]: Simplify 0 into 0 13.363 * [backup-simplify]: Simplify 0 into 0 13.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.364 * [backup-simplify]: Simplify 0 into 0 13.365 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))) into 0 13.366 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 cos) (* 0 0))))) into 0 13.367 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* x cos)) (/ 0 (* x cos))) (* 0 (/ 0 (* x cos))) (* 0 (/ 0 (* x cos))))) into 0 13.367 * [taylor]: Taking taylor expansion of 0 in cos 13.367 * [backup-simplify]: Simplify 0 into 0 13.367 * [taylor]: Taking taylor expansion of 0 in x 13.367 * [backup-simplify]: Simplify 0 into 0 13.367 * [taylor]: Taking taylor expansion of 0 in x 13.367 * [backup-simplify]: Simplify 0 into 0 13.368 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 13.368 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 13.368 * [taylor]: Taking taylor expansion of 0 in x 13.368 * [backup-simplify]: Simplify 0 into 0 13.368 * [backup-simplify]: Simplify 0 into 0 13.368 * [backup-simplify]: Simplify 0 into 0 13.368 * [backup-simplify]: Simplify 0 into 0 13.369 * [backup-simplify]: Simplify (* 1 (* (/ 1 (/ 1 x)) (* (/ 1 (/ 1 cos)) (/ 1 (/ 1 sin))))) into (* x (* cos sin)) 13.369 * [backup-simplify]: Simplify (* (/ 1 (- sin)) (* (/ 1 (- cos)) (/ 1 (- x)))) into (/ -1 (* x (* sin cos))) 13.369 * [approximate]: Taking taylor expansion of (/ -1 (* x (* sin cos))) in (sin cos x) around 0 13.369 * [taylor]: Taking taylor expansion of (/ -1 (* x (* sin cos))) in x 13.369 * [taylor]: Taking taylor expansion of -1 in x 13.369 * [backup-simplify]: Simplify -1 into -1 13.369 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in x 13.369 * [taylor]: Taking taylor expansion of x in x 13.369 * [backup-simplify]: Simplify 0 into 0 13.369 * [backup-simplify]: Simplify 1 into 1 13.369 * [taylor]: Taking taylor expansion of (* sin cos) in x 13.369 * [taylor]: Taking taylor expansion of sin in x 13.369 * [backup-simplify]: Simplify sin into sin 13.369 * [taylor]: Taking taylor expansion of cos in x 13.369 * [backup-simplify]: Simplify cos into cos 13.369 * [backup-simplify]: Simplify (* sin cos) into (* sin cos) 13.369 * [backup-simplify]: Simplify (* 0 (* sin cos)) into 0 13.369 * [backup-simplify]: Simplify (+ (* sin 0) (* 0 cos)) into 0 13.369 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* sin cos))) into (* sin cos) 13.369 * [backup-simplify]: Simplify (/ -1 (* sin cos)) into (/ -1 (* sin cos)) 13.369 * [taylor]: Taking taylor expansion of (/ -1 (* x (* sin cos))) in cos 13.369 * [taylor]: Taking taylor expansion of -1 in cos 13.369 * [backup-simplify]: Simplify -1 into -1 13.369 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in cos 13.369 * [taylor]: Taking taylor expansion of x in cos 13.369 * [backup-simplify]: Simplify x into x 13.369 * [taylor]: Taking taylor expansion of (* sin cos) in cos 13.369 * [taylor]: Taking taylor expansion of sin in cos 13.370 * [backup-simplify]: Simplify sin into sin 13.370 * [taylor]: Taking taylor expansion of cos in cos 13.370 * [backup-simplify]: Simplify 0 into 0 13.370 * [backup-simplify]: Simplify 1 into 1 13.370 * [backup-simplify]: Simplify (* sin 0) into 0 13.370 * [backup-simplify]: Simplify (* x 0) into 0 13.370 * [backup-simplify]: Simplify (+ (* sin 1) (* 0 0)) into sin 13.370 * [backup-simplify]: Simplify (+ (* x sin) (* 0 0)) into (* x sin) 13.371 * [backup-simplify]: Simplify (/ -1 (* x sin)) into (/ -1 (* x sin)) 13.371 * [taylor]: Taking taylor expansion of (/ -1 (* x (* sin cos))) in sin 13.371 * [taylor]: Taking taylor expansion of -1 in sin 13.371 * [backup-simplify]: Simplify -1 into -1 13.371 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in sin 13.371 * [taylor]: Taking taylor expansion of x in sin 13.371 * [backup-simplify]: Simplify x into x 13.371 * [taylor]: Taking taylor expansion of (* sin cos) in sin 13.371 * [taylor]: Taking taylor expansion of sin in sin 13.371 * [backup-simplify]: Simplify 0 into 0 13.371 * [backup-simplify]: Simplify 1 into 1 13.371 * [taylor]: Taking taylor expansion of cos in sin 13.371 * [backup-simplify]: Simplify cos into cos 13.371 * [backup-simplify]: Simplify (* 0 cos) into 0 13.371 * [backup-simplify]: Simplify (* x 0) into 0 13.371 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 cos)) into cos 13.372 * [backup-simplify]: Simplify (+ (* x cos) (* 0 0)) into (* x cos) 13.372 * [backup-simplify]: Simplify (/ -1 (* x cos)) into (/ -1 (* x cos)) 13.372 * [taylor]: Taking taylor expansion of (/ -1 (* x (* sin cos))) in sin 13.372 * [taylor]: Taking taylor expansion of -1 in sin 13.372 * [backup-simplify]: Simplify -1 into -1 13.372 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in sin 13.372 * [taylor]: Taking taylor expansion of x in sin 13.372 * [backup-simplify]: Simplify x into x 13.372 * [taylor]: Taking taylor expansion of (* sin cos) in sin 13.372 * [taylor]: Taking taylor expansion of sin in sin 13.372 * [backup-simplify]: Simplify 0 into 0 13.372 * [backup-simplify]: Simplify 1 into 1 13.372 * [taylor]: Taking taylor expansion of cos in sin 13.372 * [backup-simplify]: Simplify cos into cos 13.372 * [backup-simplify]: Simplify (* 0 cos) into 0 13.372 * [backup-simplify]: Simplify (* x 0) into 0 13.373 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 cos)) into cos 13.373 * [backup-simplify]: Simplify (+ (* x cos) (* 0 0)) into (* x cos) 13.373 * [backup-simplify]: Simplify (/ -1 (* x cos)) into (/ -1 (* x cos)) 13.373 * [taylor]: Taking taylor expansion of (/ -1 (* x cos)) in cos 13.373 * [taylor]: Taking taylor expansion of -1 in cos 13.373 * [backup-simplify]: Simplify -1 into -1 13.373 * [taylor]: Taking taylor expansion of (* x cos) in cos 13.373 * [taylor]: Taking taylor expansion of x in cos 13.373 * [backup-simplify]: Simplify x into x 13.373 * [taylor]: Taking taylor expansion of cos in cos 13.373 * [backup-simplify]: Simplify 0 into 0 13.373 * [backup-simplify]: Simplify 1 into 1 13.373 * [backup-simplify]: Simplify (* x 0) into 0 13.374 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 13.374 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 13.374 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.374 * [taylor]: Taking taylor expansion of -1 in x 13.374 * [backup-simplify]: Simplify -1 into -1 13.374 * [taylor]: Taking taylor expansion of x in x 13.374 * [backup-simplify]: Simplify 0 into 0 13.374 * [backup-simplify]: Simplify 1 into 1 13.374 * [backup-simplify]: Simplify (/ -1 1) into -1 13.375 * [backup-simplify]: Simplify -1 into -1 13.375 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 13.376 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 cos) (* 0 0))) into 0 13.376 * [backup-simplify]: Simplify (- (/ 0 (* x cos)) (+ (* (/ -1 (* x cos)) (/ 0 (* x cos))))) into 0 13.376 * [taylor]: Taking taylor expansion of 0 in cos 13.376 * [backup-simplify]: Simplify 0 into 0 13.377 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 13.377 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 13.377 * [taylor]: Taking taylor expansion of 0 in x 13.377 * [backup-simplify]: Simplify 0 into 0 13.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.378 * [backup-simplify]: Simplify 0 into 0 13.379 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 cos)))) into 0 13.379 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 cos) (* 0 0)))) into 0 13.380 * [backup-simplify]: Simplify (- (/ 0 (* x cos)) (+ (* (/ -1 (* x cos)) (/ 0 (* x cos))) (* 0 (/ 0 (* x cos))))) into 0 13.380 * [taylor]: Taking taylor expansion of 0 in cos 13.380 * [backup-simplify]: Simplify 0 into 0 13.380 * [taylor]: Taking taylor expansion of 0 in x 13.380 * [backup-simplify]: Simplify 0 into 0 13.381 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 13.381 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 13.381 * [taylor]: Taking taylor expansion of 0 in x 13.381 * [backup-simplify]: Simplify 0 into 0 13.381 * [backup-simplify]: Simplify 0 into 0 13.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.382 * [backup-simplify]: Simplify 0 into 0 13.383 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))) into 0 13.384 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 cos) (* 0 0))))) into 0 13.385 * [backup-simplify]: Simplify (- (/ 0 (* x cos)) (+ (* (/ -1 (* x cos)) (/ 0 (* x cos))) (* 0 (/ 0 (* x cos))) (* 0 (/ 0 (* x cos))))) into 0 13.385 * [taylor]: Taking taylor expansion of 0 in cos 13.385 * [backup-simplify]: Simplify 0 into 0 13.385 * [taylor]: Taking taylor expansion of 0 in x 13.385 * [backup-simplify]: Simplify 0 into 0 13.385 * [taylor]: Taking taylor expansion of 0 in x 13.385 * [backup-simplify]: Simplify 0 into 0 13.386 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 13.386 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 13.386 * [taylor]: Taking taylor expansion of 0 in x 13.386 * [backup-simplify]: Simplify 0 into 0 13.386 * [backup-simplify]: Simplify 0 into 0 13.386 * [backup-simplify]: Simplify 0 into 0 13.386 * [backup-simplify]: Simplify 0 into 0 13.386 * [backup-simplify]: Simplify (* -1 (* (/ 1 (/ 1 (- x))) (* (/ 1 (/ 1 (- cos))) (/ 1 (/ 1 (- sin)))))) into (* x (* cos sin)) 13.386 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 13.386 * [backup-simplify]: Simplify (* sin (* cos x)) into (* x (* sin cos)) 13.386 * [approximate]: Taking taylor expansion of (* x (* sin cos)) in (sin cos x) around 0 13.387 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in x 13.387 * [taylor]: Taking taylor expansion of x in x 13.387 * [backup-simplify]: Simplify 0 into 0 13.387 * [backup-simplify]: Simplify 1 into 1 13.387 * [taylor]: Taking taylor expansion of (* sin cos) in x 13.387 * [taylor]: Taking taylor expansion of sin in x 13.387 * [backup-simplify]: Simplify sin into sin 13.387 * [taylor]: Taking taylor expansion of cos in x 13.387 * [backup-simplify]: Simplify cos into cos 13.387 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in cos 13.387 * [taylor]: Taking taylor expansion of x in cos 13.387 * [backup-simplify]: Simplify x into x 13.387 * [taylor]: Taking taylor expansion of (* sin cos) in cos 13.387 * [taylor]: Taking taylor expansion of sin in cos 13.387 * [backup-simplify]: Simplify sin into sin 13.387 * [taylor]: Taking taylor expansion of cos in cos 13.387 * [backup-simplify]: Simplify 0 into 0 13.387 * [backup-simplify]: Simplify 1 into 1 13.387 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in sin 13.387 * [taylor]: Taking taylor expansion of x in sin 13.387 * [backup-simplify]: Simplify x into x 13.387 * [taylor]: Taking taylor expansion of (* sin cos) in sin 13.387 * [taylor]: Taking taylor expansion of sin in sin 13.387 * [backup-simplify]: Simplify 0 into 0 13.387 * [backup-simplify]: Simplify 1 into 1 13.387 * [taylor]: Taking taylor expansion of cos in sin 13.387 * [backup-simplify]: Simplify cos into cos 13.387 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in sin 13.387 * [taylor]: Taking taylor expansion of x in sin 13.387 * [backup-simplify]: Simplify x into x 13.387 * [taylor]: Taking taylor expansion of (* sin cos) in sin 13.387 * [taylor]: Taking taylor expansion of sin in sin 13.387 * [backup-simplify]: Simplify 0 into 0 13.387 * [backup-simplify]: Simplify 1 into 1 13.387 * [taylor]: Taking taylor expansion of cos in sin 13.387 * [backup-simplify]: Simplify cos into cos 13.387 * [backup-simplify]: Simplify (* 0 cos) into 0 13.387 * [backup-simplify]: Simplify (* x 0) into 0 13.387 * [taylor]: Taking taylor expansion of 0 in cos 13.388 * [backup-simplify]: Simplify 0 into 0 13.388 * [taylor]: Taking taylor expansion of 0 in x 13.388 * [backup-simplify]: Simplify 0 into 0 13.388 * [backup-simplify]: Simplify 0 into 0 13.388 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 cos)) into cos 13.388 * [backup-simplify]: Simplify (+ (* x cos) (* 0 0)) into (* x cos) 13.389 * [taylor]: Taking taylor expansion of (* x cos) in cos 13.389 * [taylor]: Taking taylor expansion of x in cos 13.389 * [backup-simplify]: Simplify x into x 13.389 * [taylor]: Taking taylor expansion of cos in cos 13.389 * [backup-simplify]: Simplify 0 into 0 13.389 * [backup-simplify]: Simplify 1 into 1 13.389 * [backup-simplify]: Simplify (* x 0) into 0 13.389 * [taylor]: Taking taylor expansion of 0 in x 13.389 * [backup-simplify]: Simplify 0 into 0 13.389 * [backup-simplify]: Simplify 0 into 0 13.389 * [taylor]: Taking taylor expansion of 0 in x 13.389 * [backup-simplify]: Simplify 0 into 0 13.389 * [backup-simplify]: Simplify 0 into 0 13.389 * [backup-simplify]: Simplify 0 into 0 13.390 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 13.390 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 cos) (* 0 0))) into 0 13.390 * [taylor]: Taking taylor expansion of 0 in cos 13.390 * [backup-simplify]: Simplify 0 into 0 13.390 * [taylor]: Taking taylor expansion of 0 in x 13.390 * [backup-simplify]: Simplify 0 into 0 13.390 * [backup-simplify]: Simplify 0 into 0 13.391 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 13.391 * [taylor]: Taking taylor expansion of x in x 13.391 * [backup-simplify]: Simplify 0 into 0 13.391 * [backup-simplify]: Simplify 1 into 1 13.391 * [backup-simplify]: Simplify 0 into 0 13.391 * [backup-simplify]: Simplify 0 into 0 13.391 * [backup-simplify]: Simplify (* (/ 1 sin) (* (/ 1 cos) (/ 1 x))) into (/ 1 (* x (* sin cos))) 13.391 * [approximate]: Taking taylor expansion of (/ 1 (* x (* sin cos))) in (sin cos x) around 0 13.391 * [taylor]: Taking taylor expansion of (/ 1 (* x (* sin cos))) in x 13.391 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in x 13.391 * [taylor]: Taking taylor expansion of x in x 13.391 * [backup-simplify]: Simplify 0 into 0 13.391 * [backup-simplify]: Simplify 1 into 1 13.391 * [taylor]: Taking taylor expansion of (* sin cos) in x 13.391 * [taylor]: Taking taylor expansion of sin in x 13.391 * [backup-simplify]: Simplify sin into sin 13.391 * [taylor]: Taking taylor expansion of cos in x 13.391 * [backup-simplify]: Simplify cos into cos 13.391 * [backup-simplify]: Simplify (* sin cos) into (* sin cos) 13.391 * [backup-simplify]: Simplify (* 0 (* sin cos)) into 0 13.391 * [backup-simplify]: Simplify (+ (* sin 0) (* 0 cos)) into 0 13.392 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* sin cos))) into (* sin cos) 13.392 * [backup-simplify]: Simplify (/ 1 (* sin cos)) into (/ 1 (* sin cos)) 13.392 * [taylor]: Taking taylor expansion of (/ 1 (* x (* sin cos))) in cos 13.392 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in cos 13.392 * [taylor]: Taking taylor expansion of x in cos 13.392 * [backup-simplify]: Simplify x into x 13.392 * [taylor]: Taking taylor expansion of (* sin cos) in cos 13.392 * [taylor]: Taking taylor expansion of sin in cos 13.392 * [backup-simplify]: Simplify sin into sin 13.392 * [taylor]: Taking taylor expansion of cos in cos 13.392 * [backup-simplify]: Simplify 0 into 0 13.392 * [backup-simplify]: Simplify 1 into 1 13.392 * [backup-simplify]: Simplify (* sin 0) into 0 13.392 * [backup-simplify]: Simplify (* x 0) into 0 13.393 * [backup-simplify]: Simplify (+ (* sin 1) (* 0 0)) into sin 13.393 * [backup-simplify]: Simplify (+ (* x sin) (* 0 0)) into (* x sin) 13.393 * [backup-simplify]: Simplify (/ 1 (* x sin)) into (/ 1 (* x sin)) 13.393 * [taylor]: Taking taylor expansion of (/ 1 (* x (* sin cos))) in sin 13.393 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in sin 13.393 * [taylor]: Taking taylor expansion of x in sin 13.393 * [backup-simplify]: Simplify x into x 13.393 * [taylor]: Taking taylor expansion of (* sin cos) in sin 13.393 * [taylor]: Taking taylor expansion of sin in sin 13.393 * [backup-simplify]: Simplify 0 into 0 13.393 * [backup-simplify]: Simplify 1 into 1 13.393 * [taylor]: Taking taylor expansion of cos in sin 13.393 * [backup-simplify]: Simplify cos into cos 13.394 * [backup-simplify]: Simplify (* 0 cos) into 0 13.394 * [backup-simplify]: Simplify (* x 0) into 0 13.394 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 cos)) into cos 13.394 * [backup-simplify]: Simplify (+ (* x cos) (* 0 0)) into (* x cos) 13.394 * [backup-simplify]: Simplify (/ 1 (* x cos)) into (/ 1 (* x cos)) 13.394 * [taylor]: Taking taylor expansion of (/ 1 (* x (* sin cos))) in sin 13.395 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in sin 13.395 * [taylor]: Taking taylor expansion of x in sin 13.395 * [backup-simplify]: Simplify x into x 13.395 * [taylor]: Taking taylor expansion of (* sin cos) in sin 13.395 * [taylor]: Taking taylor expansion of sin in sin 13.395 * [backup-simplify]: Simplify 0 into 0 13.395 * [backup-simplify]: Simplify 1 into 1 13.395 * [taylor]: Taking taylor expansion of cos in sin 13.395 * [backup-simplify]: Simplify cos into cos 13.395 * [backup-simplify]: Simplify (* 0 cos) into 0 13.395 * [backup-simplify]: Simplify (* x 0) into 0 13.395 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 cos)) into cos 13.396 * [backup-simplify]: Simplify (+ (* x cos) (* 0 0)) into (* x cos) 13.396 * [backup-simplify]: Simplify (/ 1 (* x cos)) into (/ 1 (* x cos)) 13.396 * [taylor]: Taking taylor expansion of (/ 1 (* x cos)) in cos 13.396 * [taylor]: Taking taylor expansion of (* x cos) in cos 13.396 * [taylor]: Taking taylor expansion of x in cos 13.396 * [backup-simplify]: Simplify x into x 13.396 * [taylor]: Taking taylor expansion of cos in cos 13.396 * [backup-simplify]: Simplify 0 into 0 13.396 * [backup-simplify]: Simplify 1 into 1 13.396 * [backup-simplify]: Simplify (* x 0) into 0 13.396 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 13.396 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 13.396 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.397 * [taylor]: Taking taylor expansion of x in x 13.397 * [backup-simplify]: Simplify 0 into 0 13.397 * [backup-simplify]: Simplify 1 into 1 13.397 * [backup-simplify]: Simplify (/ 1 1) into 1 13.397 * [backup-simplify]: Simplify 1 into 1 13.398 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 13.398 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 cos) (* 0 0))) into 0 13.398 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* x cos)) (/ 0 (* x cos))))) into 0 13.398 * [taylor]: Taking taylor expansion of 0 in cos 13.398 * [backup-simplify]: Simplify 0 into 0 13.399 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 13.399 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 13.399 * [taylor]: Taking taylor expansion of 0 in x 13.399 * [backup-simplify]: Simplify 0 into 0 13.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.400 * [backup-simplify]: Simplify 0 into 0 13.401 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 cos)))) into 0 13.402 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 cos) (* 0 0)))) into 0 13.402 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* x cos)) (/ 0 (* x cos))) (* 0 (/ 0 (* x cos))))) into 0 13.402 * [taylor]: Taking taylor expansion of 0 in cos 13.402 * [backup-simplify]: Simplify 0 into 0 13.402 * [taylor]: Taking taylor expansion of 0 in x 13.402 * [backup-simplify]: Simplify 0 into 0 13.403 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 13.403 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 13.403 * [taylor]: Taking taylor expansion of 0 in x 13.403 * [backup-simplify]: Simplify 0 into 0 13.403 * [backup-simplify]: Simplify 0 into 0 13.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.404 * [backup-simplify]: Simplify 0 into 0 13.406 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))) into 0 13.407 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 cos) (* 0 0))))) into 0 13.407 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* x cos)) (/ 0 (* x cos))) (* 0 (/ 0 (* x cos))) (* 0 (/ 0 (* x cos))))) into 0 13.407 * [taylor]: Taking taylor expansion of 0 in cos 13.407 * [backup-simplify]: Simplify 0 into 0 13.407 * [taylor]: Taking taylor expansion of 0 in x 13.407 * [backup-simplify]: Simplify 0 into 0 13.407 * [taylor]: Taking taylor expansion of 0 in x 13.407 * [backup-simplify]: Simplify 0 into 0 13.408 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 13.408 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 13.408 * [taylor]: Taking taylor expansion of 0 in x 13.408 * [backup-simplify]: Simplify 0 into 0 13.408 * [backup-simplify]: Simplify 0 into 0 13.408 * [backup-simplify]: Simplify 0 into 0 13.408 * [backup-simplify]: Simplify 0 into 0 13.409 * [backup-simplify]: Simplify (* 1 (* (/ 1 (/ 1 x)) (* (/ 1 (/ 1 cos)) (/ 1 (/ 1 sin))))) into (* x (* cos sin)) 13.409 * [backup-simplify]: Simplify (* (/ 1 (- sin)) (* (/ 1 (- cos)) (/ 1 (- x)))) into (/ -1 (* x (* sin cos))) 13.409 * [approximate]: Taking taylor expansion of (/ -1 (* x (* sin cos))) in (sin cos x) around 0 13.409 * [taylor]: Taking taylor expansion of (/ -1 (* x (* sin cos))) in x 13.409 * [taylor]: Taking taylor expansion of -1 in x 13.409 * [backup-simplify]: Simplify -1 into -1 13.409 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in x 13.409 * [taylor]: Taking taylor expansion of x in x 13.409 * [backup-simplify]: Simplify 0 into 0 13.409 * [backup-simplify]: Simplify 1 into 1 13.409 * [taylor]: Taking taylor expansion of (* sin cos) in x 13.409 * [taylor]: Taking taylor expansion of sin in x 13.409 * [backup-simplify]: Simplify sin into sin 13.409 * [taylor]: Taking taylor expansion of cos in x 13.409 * [backup-simplify]: Simplify cos into cos 13.409 * [backup-simplify]: Simplify (* sin cos) into (* sin cos) 13.409 * [backup-simplify]: Simplify (* 0 (* sin cos)) into 0 13.410 * [backup-simplify]: Simplify (+ (* sin 0) (* 0 cos)) into 0 13.410 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* sin cos))) into (* sin cos) 13.410 * [backup-simplify]: Simplify (/ -1 (* sin cos)) into (/ -1 (* sin cos)) 13.410 * [taylor]: Taking taylor expansion of (/ -1 (* x (* sin cos))) in cos 13.410 * [taylor]: Taking taylor expansion of -1 in cos 13.410 * [backup-simplify]: Simplify -1 into -1 13.410 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in cos 13.410 * [taylor]: Taking taylor expansion of x in cos 13.410 * [backup-simplify]: Simplify x into x 13.410 * [taylor]: Taking taylor expansion of (* sin cos) in cos 13.410 * [taylor]: Taking taylor expansion of sin in cos 13.410 * [backup-simplify]: Simplify sin into sin 13.410 * [taylor]: Taking taylor expansion of cos in cos 13.410 * [backup-simplify]: Simplify 0 into 0 13.410 * [backup-simplify]: Simplify 1 into 1 13.410 * [backup-simplify]: Simplify (* sin 0) into 0 13.410 * [backup-simplify]: Simplify (* x 0) into 0 13.411 * [backup-simplify]: Simplify (+ (* sin 1) (* 0 0)) into sin 13.412 * [backup-simplify]: Simplify (+ (* x sin) (* 0 0)) into (* x sin) 13.412 * [backup-simplify]: Simplify (/ -1 (* x sin)) into (/ -1 (* x sin)) 13.412 * [taylor]: Taking taylor expansion of (/ -1 (* x (* sin cos))) in sin 13.412 * [taylor]: Taking taylor expansion of -1 in sin 13.412 * [backup-simplify]: Simplify -1 into -1 13.412 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in sin 13.412 * [taylor]: Taking taylor expansion of x in sin 13.412 * [backup-simplify]: Simplify x into x 13.412 * [taylor]: Taking taylor expansion of (* sin cos) in sin 13.412 * [taylor]: Taking taylor expansion of sin in sin 13.412 * [backup-simplify]: Simplify 0 into 0 13.412 * [backup-simplify]: Simplify 1 into 1 13.412 * [taylor]: Taking taylor expansion of cos in sin 13.412 * [backup-simplify]: Simplify cos into cos 13.412 * [backup-simplify]: Simplify (* 0 cos) into 0 13.412 * [backup-simplify]: Simplify (* x 0) into 0 13.412 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 cos)) into cos 13.413 * [backup-simplify]: Simplify (+ (* x cos) (* 0 0)) into (* x cos) 13.413 * [backup-simplify]: Simplify (/ -1 (* x cos)) into (/ -1 (* x cos)) 13.413 * [taylor]: Taking taylor expansion of (/ -1 (* x (* sin cos))) in sin 13.413 * [taylor]: Taking taylor expansion of -1 in sin 13.413 * [backup-simplify]: Simplify -1 into -1 13.413 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in sin 13.413 * [taylor]: Taking taylor expansion of x in sin 13.413 * [backup-simplify]: Simplify x into x 13.413 * [taylor]: Taking taylor expansion of (* sin cos) in sin 13.413 * [taylor]: Taking taylor expansion of sin in sin 13.413 * [backup-simplify]: Simplify 0 into 0 13.413 * [backup-simplify]: Simplify 1 into 1 13.413 * [taylor]: Taking taylor expansion of cos in sin 13.413 * [backup-simplify]: Simplify cos into cos 13.413 * [backup-simplify]: Simplify (* 0 cos) into 0 13.413 * [backup-simplify]: Simplify (* x 0) into 0 13.414 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 cos)) into cos 13.414 * [backup-simplify]: Simplify (+ (* x cos) (* 0 0)) into (* x cos) 13.414 * [backup-simplify]: Simplify (/ -1 (* x cos)) into (/ -1 (* x cos)) 13.414 * [taylor]: Taking taylor expansion of (/ -1 (* x cos)) in cos 13.414 * [taylor]: Taking taylor expansion of -1 in cos 13.414 * [backup-simplify]: Simplify -1 into -1 13.414 * [taylor]: Taking taylor expansion of (* x cos) in cos 13.414 * [taylor]: Taking taylor expansion of x in cos 13.414 * [backup-simplify]: Simplify x into x 13.414 * [taylor]: Taking taylor expansion of cos in cos 13.414 * [backup-simplify]: Simplify 0 into 0 13.414 * [backup-simplify]: Simplify 1 into 1 13.414 * [backup-simplify]: Simplify (* x 0) into 0 13.415 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 13.415 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 13.415 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.415 * [taylor]: Taking taylor expansion of -1 in x 13.415 * [backup-simplify]: Simplify -1 into -1 13.415 * [taylor]: Taking taylor expansion of x in x 13.415 * [backup-simplify]: Simplify 0 into 0 13.415 * [backup-simplify]: Simplify 1 into 1 13.415 * [backup-simplify]: Simplify (/ -1 1) into -1 13.416 * [backup-simplify]: Simplify -1 into -1 13.416 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 13.417 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 cos) (* 0 0))) into 0 13.417 * [backup-simplify]: Simplify (- (/ 0 (* x cos)) (+ (* (/ -1 (* x cos)) (/ 0 (* x cos))))) into 0 13.417 * [taylor]: Taking taylor expansion of 0 in cos 13.417 * [backup-simplify]: Simplify 0 into 0 13.418 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 13.418 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 13.418 * [taylor]: Taking taylor expansion of 0 in x 13.418 * [backup-simplify]: Simplify 0 into 0 13.419 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.419 * [backup-simplify]: Simplify 0 into 0 13.420 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 cos)))) into 0 13.420 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 cos) (* 0 0)))) into 0 13.421 * [backup-simplify]: Simplify (- (/ 0 (* x cos)) (+ (* (/ -1 (* x cos)) (/ 0 (* x cos))) (* 0 (/ 0 (* x cos))))) into 0 13.421 * [taylor]: Taking taylor expansion of 0 in cos 13.421 * [backup-simplify]: Simplify 0 into 0 13.421 * [taylor]: Taking taylor expansion of 0 in x 13.421 * [backup-simplify]: Simplify 0 into 0 13.422 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 13.422 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 13.422 * [taylor]: Taking taylor expansion of 0 in x 13.422 * [backup-simplify]: Simplify 0 into 0 13.422 * [backup-simplify]: Simplify 0 into 0 13.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.423 * [backup-simplify]: Simplify 0 into 0 13.424 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))) into 0 13.425 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 cos) (* 0 0))))) into 0 13.426 * [backup-simplify]: Simplify (- (/ 0 (* x cos)) (+ (* (/ -1 (* x cos)) (/ 0 (* x cos))) (* 0 (/ 0 (* x cos))) (* 0 (/ 0 (* x cos))))) into 0 13.426 * [taylor]: Taking taylor expansion of 0 in cos 13.426 * [backup-simplify]: Simplify 0 into 0 13.426 * [taylor]: Taking taylor expansion of 0 in x 13.426 * [backup-simplify]: Simplify 0 into 0 13.426 * [taylor]: Taking taylor expansion of 0 in x 13.426 * [backup-simplify]: Simplify 0 into 0 13.427 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 13.427 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 13.427 * [taylor]: Taking taylor expansion of 0 in x 13.427 * [backup-simplify]: Simplify 0 into 0 13.427 * [backup-simplify]: Simplify 0 into 0 13.427 * [backup-simplify]: Simplify 0 into 0 13.427 * [backup-simplify]: Simplify 0 into 0 13.427 * [backup-simplify]: Simplify (* -1 (* (/ 1 (/ 1 (- x))) (* (/ 1 (/ 1 (- cos))) (/ 1 (/ 1 (- sin)))))) into (* x (* cos sin)) 13.427 * * * * [progress]: [ 3 / 4 ] generating series at (2) 13.428 * [backup-simplify]: Simplify (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x)))) into (/ (cos (* 2 x)) (* (pow cos 2) (* (pow x 2) (pow sin 2)))) 13.428 * [approximate]: Taking taylor expansion of (/ (cos (* 2 x)) (* (pow cos 2) (* (pow x 2) (pow sin 2)))) in (x sin cos) around 0 13.428 * [taylor]: Taking taylor expansion of (/ (cos (* 2 x)) (* (pow cos 2) (* (pow x 2) (pow sin 2)))) in cos 13.428 * [taylor]: Taking taylor expansion of (cos (* 2 x)) in cos 13.428 * [taylor]: Taking taylor expansion of (* 2 x) in cos 13.428 * [taylor]: Taking taylor expansion of 2 in cos 13.428 * [backup-simplify]: Simplify 2 into 2 13.428 * [taylor]: Taking taylor expansion of x in cos 13.428 * [backup-simplify]: Simplify x into x 13.428 * [backup-simplify]: Simplify (* 2 x) into (* 2 x) 13.428 * [backup-simplify]: Simplify (cos (* 2 x)) into (cos (* 2 x)) 13.428 * [backup-simplify]: Simplify (sin (* 2 x)) into (sin (* 2 x)) 13.428 * [taylor]: Taking taylor expansion of (* (pow cos 2) (* (pow x 2) (pow sin 2))) in cos 13.428 * [taylor]: Taking taylor expansion of (pow cos 2) in cos 13.428 * [taylor]: Taking taylor expansion of cos in cos 13.428 * [backup-simplify]: Simplify 0 into 0 13.428 * [backup-simplify]: Simplify 1 into 1 13.428 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow sin 2)) in cos 13.428 * [taylor]: Taking taylor expansion of (pow x 2) in cos 13.428 * [taylor]: Taking taylor expansion of x in cos 13.428 * [backup-simplify]: Simplify x into x 13.428 * [taylor]: Taking taylor expansion of (pow sin 2) in cos 13.428 * [taylor]: Taking taylor expansion of sin in cos 13.428 * [backup-simplify]: Simplify sin into sin 13.429 * [backup-simplify]: Simplify (* (cos (* 2 x)) 1) into (cos (* 2 x)) 13.429 * [backup-simplify]: Simplify (* (sin (* 2 x)) 0) into 0 13.429 * [backup-simplify]: Simplify (- 0) into 0 13.429 * [backup-simplify]: Simplify (+ (cos (* 2 x)) 0) into (cos (* 2 x)) 13.430 * [backup-simplify]: Simplify (* 1 1) into 1 13.430 * [backup-simplify]: Simplify (* x x) into (pow x 2) 13.430 * [backup-simplify]: Simplify (* sin sin) into (pow sin 2) 13.430 * [backup-simplify]: Simplify (* (pow x 2) (pow sin 2)) into (* (pow x 2) (pow sin 2)) 13.430 * [backup-simplify]: Simplify (* 1 (* (pow x 2) (pow sin 2))) into (* (pow x 2) (pow sin 2)) 13.430 * [backup-simplify]: Simplify (/ (cos (* 2 x)) (* (pow x 2) (pow sin 2))) into (/ (cos (* 2 x)) (* (pow x 2) (pow sin 2))) 13.430 * [taylor]: Taking taylor expansion of (/ (cos (* 2 x)) (* (pow cos 2) (* (pow x 2) (pow sin 2)))) in sin 13.430 * [taylor]: Taking taylor expansion of (cos (* 2 x)) in sin 13.430 * [taylor]: Taking taylor expansion of (* 2 x) in sin 13.430 * [taylor]: Taking taylor expansion of 2 in sin 13.430 * [backup-simplify]: Simplify 2 into 2 13.430 * [taylor]: Taking taylor expansion of x in sin 13.430 * [backup-simplify]: Simplify x into x 13.430 * [backup-simplify]: Simplify (* 2 x) into (* 2 x) 13.430 * [backup-simplify]: Simplify (cos (* 2 x)) into (cos (* 2 x)) 13.431 * [backup-simplify]: Simplify (sin (* 2 x)) into (sin (* 2 x)) 13.431 * [taylor]: Taking taylor expansion of (* (pow cos 2) (* (pow x 2) (pow sin 2))) in sin 13.431 * [taylor]: Taking taylor expansion of (pow cos 2) in sin 13.431 * [taylor]: Taking taylor expansion of cos in sin 13.431 * [backup-simplify]: Simplify cos into cos 13.431 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow sin 2)) in sin 13.431 * [taylor]: Taking taylor expansion of (pow x 2) in sin 13.431 * [taylor]: Taking taylor expansion of x in sin 13.431 * [backup-simplify]: Simplify x into x 13.431 * [taylor]: Taking taylor expansion of (pow sin 2) in sin 13.431 * [taylor]: Taking taylor expansion of sin in sin 13.431 * [backup-simplify]: Simplify 0 into 0 13.431 * [backup-simplify]: Simplify 1 into 1 13.431 * [backup-simplify]: Simplify (* (cos (* 2 x)) 1) into (cos (* 2 x)) 13.431 * [backup-simplify]: Simplify (* (sin (* 2 x)) 0) into 0 13.431 * [backup-simplify]: Simplify (- 0) into 0 13.431 * [backup-simplify]: Simplify (+ (cos (* 2 x)) 0) into (cos (* 2 x)) 13.432 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 13.432 * [backup-simplify]: Simplify (* x x) into (pow x 2) 13.432 * [backup-simplify]: Simplify (* 1 1) into 1 13.432 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 13.432 * [backup-simplify]: Simplify (* (pow cos 2) (pow x 2)) into (* (pow x 2) (pow cos 2)) 13.432 * [backup-simplify]: Simplify (/ (cos (* 2 x)) (* (pow x 2) (pow cos 2))) into (/ (cos (* 2 x)) (* (pow x 2) (pow cos 2))) 13.432 * [taylor]: Taking taylor expansion of (/ (cos (* 2 x)) (* (pow cos 2) (* (pow x 2) (pow sin 2)))) in x 13.432 * [taylor]: Taking taylor expansion of (cos (* 2 x)) in x 13.433 * [taylor]: Taking taylor expansion of (* 2 x) in x 13.433 * [taylor]: Taking taylor expansion of 2 in x 13.433 * [backup-simplify]: Simplify 2 into 2 13.433 * [taylor]: Taking taylor expansion of x in x 13.433 * [backup-simplify]: Simplify 0 into 0 13.433 * [backup-simplify]: Simplify 1 into 1 13.433 * [backup-simplify]: Simplify (* 2 0) into 0 13.434 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 13.434 * [taylor]: Taking taylor expansion of (* (pow cos 2) (* (pow x 2) (pow sin 2))) in x 13.434 * [taylor]: Taking taylor expansion of (pow cos 2) in x 13.434 * [taylor]: Taking taylor expansion of cos in x 13.434 * [backup-simplify]: Simplify cos into cos 13.434 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow sin 2)) in x 13.434 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.434 * [taylor]: Taking taylor expansion of x in x 13.434 * [backup-simplify]: Simplify 0 into 0 13.434 * [backup-simplify]: Simplify 1 into 1 13.434 * [taylor]: Taking taylor expansion of (pow sin 2) in x 13.434 * [taylor]: Taking taylor expansion of sin in x 13.434 * [backup-simplify]: Simplify sin into sin 13.434 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 13.435 * [backup-simplify]: Simplify (* 1 1) into 1 13.435 * [backup-simplify]: Simplify (* sin sin) into (pow sin 2) 13.435 * [backup-simplify]: Simplify (* 1 (pow sin 2)) into (pow sin 2) 13.435 * [backup-simplify]: Simplify (* (pow cos 2) (pow sin 2)) into (* (pow cos 2) (pow sin 2)) 13.435 * [backup-simplify]: Simplify (/ 1 (* (pow cos 2) (pow sin 2))) into (/ 1 (* (pow cos 2) (pow sin 2))) 13.435 * [taylor]: Taking taylor expansion of (/ (cos (* 2 x)) (* (pow cos 2) (* (pow x 2) (pow sin 2)))) in x 13.435 * [taylor]: Taking taylor expansion of (cos (* 2 x)) in x 13.435 * [taylor]: Taking taylor expansion of (* 2 x) in x 13.435 * [taylor]: Taking taylor expansion of 2 in x 13.435 * [backup-simplify]: Simplify 2 into 2 13.435 * [taylor]: Taking taylor expansion of x in x 13.435 * [backup-simplify]: Simplify 0 into 0 13.435 * [backup-simplify]: Simplify 1 into 1 13.436 * [backup-simplify]: Simplify (* 2 0) into 0 13.436 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 13.436 * [taylor]: Taking taylor expansion of (* (pow cos 2) (* (pow x 2) (pow sin 2))) in x 13.436 * [taylor]: Taking taylor expansion of (pow cos 2) in x 13.436 * [taylor]: Taking taylor expansion of cos in x 13.436 * [backup-simplify]: Simplify cos into cos 13.436 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow sin 2)) in x 13.436 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.436 * [taylor]: Taking taylor expansion of x in x 13.437 * [backup-simplify]: Simplify 0 into 0 13.437 * [backup-simplify]: Simplify 1 into 1 13.437 * [taylor]: Taking taylor expansion of (pow sin 2) in x 13.437 * [taylor]: Taking taylor expansion of sin in x 13.437 * [backup-simplify]: Simplify sin into sin 13.437 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 13.437 * [backup-simplify]: Simplify (* 1 1) into 1 13.437 * [backup-simplify]: Simplify (* sin sin) into (pow sin 2) 13.437 * [backup-simplify]: Simplify (* 1 (pow sin 2)) into (pow sin 2) 13.437 * [backup-simplify]: Simplify (* (pow cos 2) (pow sin 2)) into (* (pow cos 2) (pow sin 2)) 13.437 * [backup-simplify]: Simplify (/ 1 (* (pow cos 2) (pow sin 2))) into (/ 1 (* (pow cos 2) (pow sin 2))) 13.438 * [taylor]: Taking taylor expansion of (/ 1 (* (pow cos 2) (pow sin 2))) in sin 13.438 * [taylor]: Taking taylor expansion of (* (pow cos 2) (pow sin 2)) in sin 13.438 * [taylor]: Taking taylor expansion of (pow cos 2) in sin 13.438 * [taylor]: Taking taylor expansion of cos in sin 13.438 * [backup-simplify]: Simplify cos into cos 13.438 * [taylor]: Taking taylor expansion of (pow sin 2) in sin 13.438 * [taylor]: Taking taylor expansion of sin in sin 13.438 * [backup-simplify]: Simplify 0 into 0 13.438 * [backup-simplify]: Simplify 1 into 1 13.438 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 13.438 * [backup-simplify]: Simplify (* 1 1) into 1 13.438 * [backup-simplify]: Simplify (* (pow cos 2) 1) into (pow cos 2) 13.438 * [backup-simplify]: Simplify (/ 1 (pow cos 2)) into (/ 1 (pow cos 2)) 13.438 * [taylor]: Taking taylor expansion of (/ 1 (pow cos 2)) in cos 13.439 * [taylor]: Taking taylor expansion of (pow cos 2) in cos 13.439 * [taylor]: Taking taylor expansion of cos in cos 13.439 * [backup-simplify]: Simplify 0 into 0 13.439 * [backup-simplify]: Simplify 1 into 1 13.439 * [backup-simplify]: Simplify (* 1 1) into 1 13.439 * [backup-simplify]: Simplify (/ 1 1) into 1 13.439 * [backup-simplify]: Simplify 1 into 1 13.440 * [backup-simplify]: Simplify (+ 0) into 0 13.440 * [backup-simplify]: Simplify (+ (* sin 0) (* 0 sin)) into 0 13.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow sin 2))) into 0 13.442 * [backup-simplify]: Simplify (+ (* cos 0) (* 0 cos)) into 0 13.442 * [backup-simplify]: Simplify (+ (* (pow cos 2) 0) (* 0 (pow sin 2))) into 0 13.442 * [backup-simplify]: Simplify (- (/ 0 (* (pow cos 2) (pow sin 2))) (+ (* (/ 1 (* (pow cos 2) (pow sin 2))) (/ 0 (* (pow cos 2) (pow sin 2)))))) into 0 13.442 * [taylor]: Taking taylor expansion of 0 in sin 13.442 * [backup-simplify]: Simplify 0 into 0 13.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.443 * [backup-simplify]: Simplify (+ (* cos 0) (* 0 cos)) into 0 13.444 * [backup-simplify]: Simplify (+ (* (pow cos 2) 0) (* 0 1)) into 0 13.444 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow cos 2)) (/ 0 (pow cos 2))))) into 0 13.444 * [taylor]: Taking taylor expansion of 0 in cos 13.444 * [backup-simplify]: Simplify 0 into 0 13.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.445 * [backup-simplify]: Simplify 0 into 0 13.446 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 2 2) 2)) 0) into -2 13.446 * [backup-simplify]: Simplify (+ (* sin 0) (+ (* 0 0) (* 0 sin))) into 0 13.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow sin 2)))) into 0 13.448 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (* 0 cos))) into 0 13.449 * [backup-simplify]: Simplify (+ (* (pow cos 2) 0) (+ (* 0 0) (* 0 (pow sin 2)))) into 0 13.450 * [backup-simplify]: Simplify (- (/ -2 (* (pow cos 2) (pow sin 2))) (+ (* (/ 1 (* (pow cos 2) (pow sin 2))) (/ 0 (* (pow cos 2) (pow sin 2)))) (* 0 (/ 0 (* (pow cos 2) (pow sin 2)))))) into (- (* 2 (/ 1 (* (pow cos 2) (pow sin 2))))) 13.450 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (* (pow cos 2) (pow sin 2))))) in sin 13.450 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* (pow cos 2) (pow sin 2)))) in sin 13.450 * [taylor]: Taking taylor expansion of 2 in sin 13.450 * [backup-simplify]: Simplify 2 into 2 13.450 * [taylor]: Taking taylor expansion of (/ 1 (* (pow cos 2) (pow sin 2))) in sin 13.450 * [taylor]: Taking taylor expansion of (* (pow cos 2) (pow sin 2)) in sin 13.450 * [taylor]: Taking taylor expansion of (pow cos 2) in sin 13.450 * [taylor]: Taking taylor expansion of cos in sin 13.450 * [backup-simplify]: Simplify cos into cos 13.450 * [taylor]: Taking taylor expansion of (pow sin 2) in sin 13.450 * [taylor]: Taking taylor expansion of sin in sin 13.450 * [backup-simplify]: Simplify 0 into 0 13.450 * [backup-simplify]: Simplify 1 into 1 13.450 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 13.450 * [backup-simplify]: Simplify (* 1 1) into 1 13.450 * [backup-simplify]: Simplify (* (pow cos 2) 1) into (pow cos 2) 13.450 * [backup-simplify]: Simplify (/ 1 (pow cos 2)) into (/ 1 (pow cos 2)) 13.451 * [backup-simplify]: Simplify (* 2 (/ 1 (pow cos 2))) into (/ 2 (pow cos 2)) 13.451 * [backup-simplify]: Simplify (- (/ 2 (pow cos 2))) into (- (* 2 (/ 1 (pow cos 2)))) 13.451 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow cos 2)))) in cos 13.451 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow cos 2))) in cos 13.451 * [taylor]: Taking taylor expansion of 2 in cos 13.451 * [backup-simplify]: Simplify 2 into 2 13.451 * [taylor]: Taking taylor expansion of (/ 1 (pow cos 2)) in cos 13.451 * [taylor]: Taking taylor expansion of (pow cos 2) in cos 13.451 * [taylor]: Taking taylor expansion of cos in cos 13.451 * [backup-simplify]: Simplify 0 into 0 13.451 * [backup-simplify]: Simplify 1 into 1 13.451 * [backup-simplify]: Simplify (* 1 1) into 1 13.452 * [backup-simplify]: Simplify (/ 1 1) into 1 13.452 * [backup-simplify]: Simplify (* 2 1) into 2 13.452 * [backup-simplify]: Simplify (- 2) into -2 13.452 * [backup-simplify]: Simplify -2 into -2 13.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.454 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (* 0 cos))) into 0 13.454 * [backup-simplify]: Simplify (+ (* (pow cos 2) 0) (+ (* 0 0) (* 0 1))) into 0 13.455 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow cos 2)) (/ 0 (pow cos 2))) (* 0 (/ 0 (pow cos 2))))) into 0 13.455 * [taylor]: Taking taylor expansion of 0 in cos 13.455 * [backup-simplify]: Simplify 0 into 0 13.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.456 * [backup-simplify]: Simplify 0 into 0 13.457 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 13.458 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 2 1) 1) (/ (pow 0 1) 1)) 0) into 0 13.459 * [backup-simplify]: Simplify (+ (* sin 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin)))) into 0 13.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow sin 2))))) into 0 13.462 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos)))) into 0 13.463 * [backup-simplify]: Simplify (+ (* (pow cos 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow sin 2))))) into 0 13.464 * [backup-simplify]: Simplify (- (/ 0 (* (pow cos 2) (pow sin 2))) (+ (* (/ 1 (* (pow cos 2) (pow sin 2))) (/ 0 (* (pow cos 2) (pow sin 2)))) (* 0 (/ 0 (* (pow cos 2) (pow sin 2)))) (* (- (* 2 (/ 1 (* (pow cos 2) (pow sin 2))))) (/ 0 (* (pow cos 2) (pow sin 2)))))) into 0 13.464 * [taylor]: Taking taylor expansion of 0 in sin 13.464 * [backup-simplify]: Simplify 0 into 0 13.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.465 * [backup-simplify]: Simplify (+ (* cos 0) (* 0 cos)) into 0 13.465 * [backup-simplify]: Simplify (+ (* (pow cos 2) 0) (* 0 1)) into 0 13.465 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow cos 2)) (/ 0 (pow cos 2))))) into 0 13.466 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow cos 2)))) into 0 13.466 * [backup-simplify]: Simplify (- 0) into 0 13.466 * [taylor]: Taking taylor expansion of 0 in cos 13.466 * [backup-simplify]: Simplify 0 into 0 13.466 * [taylor]: Taking taylor expansion of 0 in cos 13.466 * [backup-simplify]: Simplify 0 into 0 13.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.468 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos)))) into 0 13.469 * [backup-simplify]: Simplify (+ (* (pow cos 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.469 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow cos 2)) (/ 0 (pow cos 2))) (* 0 (/ 0 (pow cos 2))) (* 0 (/ 0 (pow cos 2))))) into 0 13.469 * [taylor]: Taking taylor expansion of 0 in cos 13.469 * [backup-simplify]: Simplify 0 into 0 13.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.474 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 13.475 * [backup-simplify]: Simplify (- 0) into 0 13.475 * [backup-simplify]: Simplify 0 into 0 13.475 * [backup-simplify]: Simplify 0 into 0 13.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.476 * [backup-simplify]: Simplify 0 into 0 13.477 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 13.478 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 2 4) 24)) 0 (* -1 (/ (pow 2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 2/3 13.479 * [backup-simplify]: Simplify (+ (* sin 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 13.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow sin 2)))))) into 0 13.481 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))) into 0 13.482 * [backup-simplify]: Simplify (+ (* (pow cos 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow sin 2)))))) into 0 13.483 * [backup-simplify]: Simplify (- (/ 2/3 (* (pow cos 2) (pow sin 2))) (+ (* (/ 1 (* (pow cos 2) (pow sin 2))) (/ 0 (* (pow cos 2) (pow sin 2)))) (* 0 (/ 0 (* (pow cos 2) (pow sin 2)))) (* (- (* 2 (/ 1 (* (pow cos 2) (pow sin 2))))) (/ 0 (* (pow cos 2) (pow sin 2)))) (* 0 (/ 0 (* (pow cos 2) (pow sin 2)))))) into (* 2/3 (/ 1 (* (pow cos 2) (pow sin 2)))) 13.483 * [taylor]: Taking taylor expansion of (* 2/3 (/ 1 (* (pow cos 2) (pow sin 2)))) in sin 13.483 * [taylor]: Taking taylor expansion of 2/3 in sin 13.483 * [backup-simplify]: Simplify 2/3 into 2/3 13.483 * [taylor]: Taking taylor expansion of (/ 1 (* (pow cos 2) (pow sin 2))) in sin 13.483 * [taylor]: Taking taylor expansion of (* (pow cos 2) (pow sin 2)) in sin 13.483 * [taylor]: Taking taylor expansion of (pow cos 2) in sin 13.483 * [taylor]: Taking taylor expansion of cos in sin 13.483 * [backup-simplify]: Simplify cos into cos 13.483 * [taylor]: Taking taylor expansion of (pow sin 2) in sin 13.483 * [taylor]: Taking taylor expansion of sin in sin 13.483 * [backup-simplify]: Simplify 0 into 0 13.483 * [backup-simplify]: Simplify 1 into 1 13.483 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 13.483 * [backup-simplify]: Simplify (* 1 1) into 1 13.483 * [backup-simplify]: Simplify (* (pow cos 2) 1) into (pow cos 2) 13.483 * [backup-simplify]: Simplify (/ 1 (pow cos 2)) into (/ 1 (pow cos 2)) 13.483 * [backup-simplify]: Simplify (* 2/3 (/ 1 (pow cos 2))) into (/ 2/3 (pow cos 2)) 13.483 * [taylor]: Taking taylor expansion of (/ 2/3 (pow cos 2)) in cos 13.483 * [taylor]: Taking taylor expansion of 2/3 in cos 13.483 * [backup-simplify]: Simplify 2/3 into 2/3 13.483 * [taylor]: Taking taylor expansion of (pow cos 2) in cos 13.483 * [taylor]: Taking taylor expansion of cos in cos 13.483 * [backup-simplify]: Simplify 0 into 0 13.483 * [backup-simplify]: Simplify 1 into 1 13.484 * [backup-simplify]: Simplify (* 1 1) into 1 13.484 * [backup-simplify]: Simplify (/ 2/3 1) into 2/3 13.484 * [backup-simplify]: Simplify 2/3 into 2/3 13.484 * [backup-simplify]: Simplify (+ (* 2/3 (pow (* (/ 1 cos) (* (/ 1 sin) x)) 2)) (+ (* -2 (pow (* (/ 1 cos) (* (/ 1 sin) 1)) 2)) (* 1 (pow (* (/ 1 cos) (* (/ 1 sin) (/ 1 x))) 2)))) into (- (+ (/ 1 (* (pow x 2) (* (pow cos 2) (pow sin 2)))) (* 2/3 (/ (pow x 2) (* (pow cos 2) (pow sin 2))))) (* 2 (/ 1 (* (pow cos 2) (pow sin 2))))) 13.485 * [backup-simplify]: Simplify (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 sin) (* (/ 1 cos) (/ 1 x))) (* (/ 1 sin) (* (/ 1 cos) (/ 1 x))))) into (* (pow x 2) (* (pow sin 2) (* (pow cos 2) (cos (/ 2 x))))) 13.485 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (* (pow cos 2) (cos (/ 2 x))))) in (x sin cos) around 0 13.485 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (* (pow cos 2) (cos (/ 2 x))))) in cos 13.485 * [taylor]: Taking taylor expansion of (pow x 2) in cos 13.485 * [taylor]: Taking taylor expansion of x in cos 13.485 * [backup-simplify]: Simplify x into x 13.485 * [taylor]: Taking taylor expansion of (* (pow sin 2) (* (pow cos 2) (cos (/ 2 x)))) in cos 13.485 * [taylor]: Taking taylor expansion of (pow sin 2) in cos 13.485 * [taylor]: Taking taylor expansion of sin in cos 13.485 * [backup-simplify]: Simplify sin into sin 13.485 * [taylor]: Taking taylor expansion of (* (pow cos 2) (cos (/ 2 x))) in cos 13.485 * [taylor]: Taking taylor expansion of (pow cos 2) in cos 13.485 * [taylor]: Taking taylor expansion of cos in cos 13.485 * [backup-simplify]: Simplify 0 into 0 13.485 * [backup-simplify]: Simplify 1 into 1 13.485 * [taylor]: Taking taylor expansion of (cos (/ 2 x)) in cos 13.485 * [taylor]: Taking taylor expansion of (/ 2 x) in cos 13.485 * [taylor]: Taking taylor expansion of 2 in cos 13.485 * [backup-simplify]: Simplify 2 into 2 13.485 * [taylor]: Taking taylor expansion of x in cos 13.485 * [backup-simplify]: Simplify x into x 13.485 * [backup-simplify]: Simplify (/ 2 x) into (/ 2 x) 13.485 * [backup-simplify]: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) 13.485 * [backup-simplify]: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) 13.485 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (* (pow cos 2) (cos (/ 2 x))))) in sin 13.485 * [taylor]: Taking taylor expansion of (pow x 2) in sin 13.485 * [taylor]: Taking taylor expansion of x in sin 13.485 * [backup-simplify]: Simplify x into x 13.485 * [taylor]: Taking taylor expansion of (* (pow sin 2) (* (pow cos 2) (cos (/ 2 x)))) in sin 13.485 * [taylor]: Taking taylor expansion of (pow sin 2) in sin 13.485 * [taylor]: Taking taylor expansion of sin in sin 13.485 * [backup-simplify]: Simplify 0 into 0 13.485 * [backup-simplify]: Simplify 1 into 1 13.485 * [taylor]: Taking taylor expansion of (* (pow cos 2) (cos (/ 2 x))) in sin 13.485 * [taylor]: Taking taylor expansion of (pow cos 2) in sin 13.485 * [taylor]: Taking taylor expansion of cos in sin 13.485 * [backup-simplify]: Simplify cos into cos 13.485 * [taylor]: Taking taylor expansion of (cos (/ 2 x)) in sin 13.485 * [taylor]: Taking taylor expansion of (/ 2 x) in sin 13.485 * [taylor]: Taking taylor expansion of 2 in sin 13.485 * [backup-simplify]: Simplify 2 into 2 13.485 * [taylor]: Taking taylor expansion of x in sin 13.485 * [backup-simplify]: Simplify x into x 13.485 * [backup-simplify]: Simplify (/ 2 x) into (/ 2 x) 13.485 * [backup-simplify]: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) 13.485 * [backup-simplify]: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) 13.485 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (* (pow cos 2) (cos (/ 2 x))))) in x 13.485 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.485 * [taylor]: Taking taylor expansion of x in x 13.485 * [backup-simplify]: Simplify 0 into 0 13.485 * [backup-simplify]: Simplify 1 into 1 13.485 * [taylor]: Taking taylor expansion of (* (pow sin 2) (* (pow cos 2) (cos (/ 2 x)))) in x 13.485 * [taylor]: Taking taylor expansion of (pow sin 2) in x 13.485 * [taylor]: Taking taylor expansion of sin in x 13.486 * [backup-simplify]: Simplify sin into sin 13.486 * [taylor]: Taking taylor expansion of (* (pow cos 2) (cos (/ 2 x))) in x 13.486 * [taylor]: Taking taylor expansion of (pow cos 2) in x 13.486 * [taylor]: Taking taylor expansion of cos in x 13.486 * [backup-simplify]: Simplify cos into cos 13.486 * [taylor]: Taking taylor expansion of (cos (/ 2 x)) in x 13.486 * [taylor]: Taking taylor expansion of (/ 2 x) in x 13.486 * [taylor]: Taking taylor expansion of 2 in x 13.486 * [backup-simplify]: Simplify 2 into 2 13.486 * [taylor]: Taking taylor expansion of x in x 13.486 * [backup-simplify]: Simplify 0 into 0 13.486 * [backup-simplify]: Simplify 1 into 1 13.486 * [backup-simplify]: Simplify (/ 2 1) into 2 13.486 * [backup-simplify]: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) 13.486 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (* (pow cos 2) (cos (/ 2 x))))) in x 13.486 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.486 * [taylor]: Taking taylor expansion of x in x 13.486 * [backup-simplify]: Simplify 0 into 0 13.486 * [backup-simplify]: Simplify 1 into 1 13.486 * [taylor]: Taking taylor expansion of (* (pow sin 2) (* (pow cos 2) (cos (/ 2 x)))) in x 13.486 * [taylor]: Taking taylor expansion of (pow sin 2) in x 13.486 * [taylor]: Taking taylor expansion of sin in x 13.486 * [backup-simplify]: Simplify sin into sin 13.486 * [taylor]: Taking taylor expansion of (* (pow cos 2) (cos (/ 2 x))) in x 13.486 * [taylor]: Taking taylor expansion of (pow cos 2) in x 13.486 * [taylor]: Taking taylor expansion of cos in x 13.486 * [backup-simplify]: Simplify cos into cos 13.486 * [taylor]: Taking taylor expansion of (cos (/ 2 x)) in x 13.486 * [taylor]: Taking taylor expansion of (/ 2 x) in x 13.486 * [taylor]: Taking taylor expansion of 2 in x 13.486 * [backup-simplify]: Simplify 2 into 2 13.486 * [taylor]: Taking taylor expansion of x in x 13.486 * [backup-simplify]: Simplify 0 into 0 13.486 * [backup-simplify]: Simplify 1 into 1 13.487 * [backup-simplify]: Simplify (/ 2 1) into 2 13.487 * [backup-simplify]: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) 13.487 * [backup-simplify]: Simplify (* 1 1) into 1 13.487 * [backup-simplify]: Simplify (* sin sin) into (pow sin 2) 13.487 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 13.487 * [backup-simplify]: Simplify (* (pow cos 2) (cos (/ 2 x))) into (* (pow cos 2) (cos (/ 2 x))) 13.487 * [backup-simplify]: Simplify (* (pow sin 2) (* (pow cos 2) (cos (/ 2 x)))) into (* (pow sin 2) (* (pow cos 2) (cos (/ 2 x)))) 13.487 * [backup-simplify]: Simplify (* 1 (* (pow sin 2) (* (pow cos 2) (cos (/ 2 x))))) into (* (pow sin 2) (* (pow cos 2) (cos (/ 2 x)))) 13.487 * [taylor]: Taking taylor expansion of (* (pow sin 2) (* (pow cos 2) (cos (/ 2 x)))) in sin 13.487 * [taylor]: Taking taylor expansion of (pow sin 2) in sin 13.487 * [taylor]: Taking taylor expansion of sin in sin 13.487 * [backup-simplify]: Simplify 0 into 0 13.487 * [backup-simplify]: Simplify 1 into 1 13.487 * [taylor]: Taking taylor expansion of (* (pow cos 2) (cos (/ 2 x))) in sin 13.487 * [taylor]: Taking taylor expansion of (pow cos 2) in sin 13.487 * [taylor]: Taking taylor expansion of cos in sin 13.487 * [backup-simplify]: Simplify cos into cos 13.487 * [taylor]: Taking taylor expansion of (cos (/ 2 x)) in sin 13.487 * [taylor]: Taking taylor expansion of (/ 2 x) in sin 13.487 * [taylor]: Taking taylor expansion of 2 in sin 13.487 * [backup-simplify]: Simplify 2 into 2 13.488 * [taylor]: Taking taylor expansion of x in sin 13.488 * [backup-simplify]: Simplify x into x 13.488 * [backup-simplify]: Simplify (/ 2 x) into (/ 2 x) 13.488 * [backup-simplify]: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) 13.488 * [backup-simplify]: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) 13.488 * [backup-simplify]: Simplify (* 1 1) into 1 13.488 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 13.488 * [backup-simplify]: Simplify (* (cos (/ 2 x)) 1) into (cos (/ 2 x)) 13.488 * [backup-simplify]: Simplify (* (sin (/ 2 x)) 0) into 0 13.488 * [backup-simplify]: Simplify (- 0) into 0 13.488 * [backup-simplify]: Simplify (+ (cos (/ 2 x)) 0) into (cos (/ 2 x)) 13.488 * [backup-simplify]: Simplify (* (pow cos 2) (cos (/ 2 x))) into (* (pow cos 2) (cos (/ 2 x))) 13.489 * [backup-simplify]: Simplify (* 1 (* (pow cos 2) (cos (/ 2 x)))) into (* (pow cos 2) (cos (/ 2 x))) 13.489 * [taylor]: Taking taylor expansion of (* (pow cos 2) (cos (/ 2 x))) in cos 13.489 * [taylor]: Taking taylor expansion of (pow cos 2) in cos 13.489 * [taylor]: Taking taylor expansion of cos in cos 13.489 * [backup-simplify]: Simplify 0 into 0 13.489 * [backup-simplify]: Simplify 1 into 1 13.489 * [taylor]: Taking taylor expansion of (cos (/ 2 x)) in cos 13.489 * [taylor]: Taking taylor expansion of (/ 2 x) in cos 13.489 * [taylor]: Taking taylor expansion of 2 in cos 13.489 * [backup-simplify]: Simplify 2 into 2 13.489 * [taylor]: Taking taylor expansion of x in cos 13.489 * [backup-simplify]: Simplify x into x 13.489 * [backup-simplify]: Simplify (/ 2 x) into (/ 2 x) 13.489 * [backup-simplify]: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) 13.489 * [backup-simplify]: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) 13.489 * [backup-simplify]: Simplify (* 1 1) into 1 13.489 * [backup-simplify]: Simplify (* (cos (/ 2 x)) 1) into (cos (/ 2 x)) 13.489 * [backup-simplify]: Simplify (* (sin (/ 2 x)) 0) into 0 13.489 * [backup-simplify]: Simplify (- 0) into 0 13.489 * [backup-simplify]: Simplify (+ (cos (/ 2 x)) 0) into (cos (/ 2 x)) 13.490 * [backup-simplify]: Simplify (* 1 (cos (/ 2 x))) into (cos (/ 2 x)) 13.490 * [backup-simplify]: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) 13.490 * [backup-simplify]: Simplify (+ (* cos 0) (* 0 cos)) into 0 13.490 * [backup-simplify]: Simplify (+ (* (pow cos 2) 0) (* 0 (cos (/ 2 x)))) into 0 13.490 * [backup-simplify]: Simplify (+ (* sin 0) (* 0 sin)) into 0 13.490 * [backup-simplify]: Simplify (+ (* (pow sin 2) 0) (* 0 (* (pow cos 2) (cos (/ 2 x))))) into 0 13.490 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (* (pow sin 2) (* (pow cos 2) (cos (/ 2 x)))))) into 0 13.491 * [taylor]: Taking taylor expansion of 0 in sin 13.491 * [backup-simplify]: Simplify 0 into 0 13.491 * [taylor]: Taking taylor expansion of 0 in cos 13.491 * [backup-simplify]: Simplify 0 into 0 13.491 * [backup-simplify]: Simplify 0 into 0 13.491 * [backup-simplify]: Simplify (+ 0) into 0 13.491 * [backup-simplify]: Simplify (+ (* (cos (/ 2 x)) 0) (* 0 1)) into 0 13.491 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 2 x) (/ 0 x)))) into 0 13.492 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.492 * [backup-simplify]: Simplify (+ (* (sin (/ 2 x)) 0) (* 0 0)) into 0 13.492 * [backup-simplify]: Simplify (- 0) into 0 13.493 * [backup-simplify]: Simplify (+ 0 0) into 0 13.493 * [backup-simplify]: Simplify (+ (* cos 0) (* 0 cos)) into 0 13.493 * [backup-simplify]: Simplify (+ (* (pow cos 2) 0) (* 0 (cos (/ 2 x)))) into 0 13.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (* (pow cos 2) (cos (/ 2 x))))) into 0 13.494 * [taylor]: Taking taylor expansion of 0 in cos 13.494 * [backup-simplify]: Simplify 0 into 0 13.494 * [backup-simplify]: Simplify 0 into 0 13.494 * [backup-simplify]: Simplify (+ 0) into 0 13.494 * [backup-simplify]: Simplify (+ (* (cos (/ 2 x)) 0) (* 0 1)) into 0 13.494 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 2 x) (/ 0 x)))) into 0 13.495 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.495 * [backup-simplify]: Simplify (+ (* (sin (/ 2 x)) 0) (* 0 0)) into 0 13.495 * [backup-simplify]: Simplify (- 0) into 0 13.495 * [backup-simplify]: Simplify (+ 0 0) into 0 13.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 2 x)))) into 0 13.496 * [backup-simplify]: Simplify 0 into 0 13.497 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (* 0 cos))) into 0 13.497 * [backup-simplify]: Simplify (+ (* (pow cos 2) 0) (+ (* 0 0) (* 0 (cos (/ 2 x))))) into 0 13.498 * [backup-simplify]: Simplify (+ (* sin 0) (+ (* 0 0) (* 0 sin))) into 0 13.498 * [backup-simplify]: Simplify (+ (* (pow sin 2) 0) (+ (* 0 0) (* 0 (* (pow cos 2) (cos (/ 2 x)))))) into 0 13.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (* (pow sin 2) (* (pow cos 2) (cos (/ 2 x))))))) into 0 13.500 * [taylor]: Taking taylor expansion of 0 in sin 13.500 * [backup-simplify]: Simplify 0 into 0 13.500 * [taylor]: Taking taylor expansion of 0 in cos 13.500 * [backup-simplify]: Simplify 0 into 0 13.500 * [backup-simplify]: Simplify 0 into 0 13.500 * [taylor]: Taking taylor expansion of 0 in cos 13.500 * [backup-simplify]: Simplify 0 into 0 13.500 * [backup-simplify]: Simplify 0 into 0 13.501 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.501 * [backup-simplify]: Simplify (+ (* (cos (/ 2 x)) 0) (+ (* 0 0) (* 0 1))) into 0 13.501 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 2 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 13.502 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.502 * [backup-simplify]: Simplify (+ (* (sin (/ 2 x)) 0) (+ (* 0 0) (* 0 0))) into 0 13.502 * [backup-simplify]: Simplify (- 0) into 0 13.503 * [backup-simplify]: Simplify (+ 0 0) into 0 13.503 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (* 0 cos))) into 0 13.503 * [backup-simplify]: Simplify (+ (* (pow cos 2) 0) (+ (* 0 0) (* 0 (cos (/ 2 x))))) into 0 13.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (* (pow cos 2) (cos (/ 2 x)))))) into 0 13.504 * [taylor]: Taking taylor expansion of 0 in cos 13.504 * [backup-simplify]: Simplify 0 into 0 13.504 * [backup-simplify]: Simplify 0 into 0 13.505 * [backup-simplify]: Simplify (* (cos (/ 2 (/ 1 x))) (pow (* (/ 1 cos) (* (/ 1 sin) (/ 1 x))) 2)) into (/ (cos (* 2 x)) (* (pow sin 2) (* (pow x 2) (pow cos 2)))) 13.505 * [backup-simplify]: Simplify (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- sin)) (* (/ 1 (- cos)) (/ 1 (- x)))) (* (/ 1 (- sin)) (* (/ 1 (- cos)) (/ 1 (- x)))))) into (* (cos (/ -2 x)) (* (pow x 2) (* (pow sin 2) (pow cos 2)))) 13.505 * [approximate]: Taking taylor expansion of (* (cos (/ -2 x)) (* (pow x 2) (* (pow sin 2) (pow cos 2)))) in (x sin cos) around 0 13.505 * [taylor]: Taking taylor expansion of (* (cos (/ -2 x)) (* (pow x 2) (* (pow sin 2) (pow cos 2)))) in cos 13.505 * [taylor]: Taking taylor expansion of (cos (/ -2 x)) in cos 13.505 * [taylor]: Taking taylor expansion of (/ -2 x) in cos 13.505 * [taylor]: Taking taylor expansion of -2 in cos 13.505 * [backup-simplify]: Simplify -2 into -2 13.505 * [taylor]: Taking taylor expansion of x in cos 13.505 * [backup-simplify]: Simplify x into x 13.505 * [backup-simplify]: Simplify (/ -2 x) into (/ -2 x) 13.505 * [backup-simplify]: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) 13.505 * [backup-simplify]: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) 13.505 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (pow cos 2))) in cos 13.505 * [taylor]: Taking taylor expansion of (pow x 2) in cos 13.505 * [taylor]: Taking taylor expansion of x in cos 13.505 * [backup-simplify]: Simplify x into x 13.505 * [taylor]: Taking taylor expansion of (* (pow sin 2) (pow cos 2)) in cos 13.505 * [taylor]: Taking taylor expansion of (pow sin 2) in cos 13.505 * [taylor]: Taking taylor expansion of sin in cos 13.505 * [backup-simplify]: Simplify sin into sin 13.505 * [taylor]: Taking taylor expansion of (pow cos 2) in cos 13.505 * [taylor]: Taking taylor expansion of cos in cos 13.505 * [backup-simplify]: Simplify 0 into 0 13.505 * [backup-simplify]: Simplify 1 into 1 13.505 * [taylor]: Taking taylor expansion of (* (cos (/ -2 x)) (* (pow x 2) (* (pow sin 2) (pow cos 2)))) in sin 13.505 * [taylor]: Taking taylor expansion of (cos (/ -2 x)) in sin 13.505 * [taylor]: Taking taylor expansion of (/ -2 x) in sin 13.505 * [taylor]: Taking taylor expansion of -2 in sin 13.505 * [backup-simplify]: Simplify -2 into -2 13.505 * [taylor]: Taking taylor expansion of x in sin 13.505 * [backup-simplify]: Simplify x into x 13.505 * [backup-simplify]: Simplify (/ -2 x) into (/ -2 x) 13.505 * [backup-simplify]: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) 13.506 * [backup-simplify]: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) 13.506 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (pow cos 2))) in sin 13.506 * [taylor]: Taking taylor expansion of (pow x 2) in sin 13.506 * [taylor]: Taking taylor expansion of x in sin 13.506 * [backup-simplify]: Simplify x into x 13.506 * [taylor]: Taking taylor expansion of (* (pow sin 2) (pow cos 2)) in sin 13.506 * [taylor]: Taking taylor expansion of (pow sin 2) in sin 13.506 * [taylor]: Taking taylor expansion of sin in sin 13.506 * [backup-simplify]: Simplify 0 into 0 13.506 * [backup-simplify]: Simplify 1 into 1 13.506 * [taylor]: Taking taylor expansion of (pow cos 2) in sin 13.506 * [taylor]: Taking taylor expansion of cos in sin 13.506 * [backup-simplify]: Simplify cos into cos 13.506 * [taylor]: Taking taylor expansion of (* (cos (/ -2 x)) (* (pow x 2) (* (pow sin 2) (pow cos 2)))) in x 13.506 * [taylor]: Taking taylor expansion of (cos (/ -2 x)) in x 13.506 * [taylor]: Taking taylor expansion of (/ -2 x) in x 13.506 * [taylor]: Taking taylor expansion of -2 in x 13.506 * [backup-simplify]: Simplify -2 into -2 13.506 * [taylor]: Taking taylor expansion of x in x 13.506 * [backup-simplify]: Simplify 0 into 0 13.506 * [backup-simplify]: Simplify 1 into 1 13.506 * [backup-simplify]: Simplify (/ -2 1) into -2 13.506 * [backup-simplify]: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) 13.506 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (pow cos 2))) in x 13.506 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.506 * [taylor]: Taking taylor expansion of x in x 13.506 * [backup-simplify]: Simplify 0 into 0 13.506 * [backup-simplify]: Simplify 1 into 1 13.506 * [taylor]: Taking taylor expansion of (* (pow sin 2) (pow cos 2)) in x 13.506 * [taylor]: Taking taylor expansion of (pow sin 2) in x 13.506 * [taylor]: Taking taylor expansion of sin in x 13.506 * [backup-simplify]: Simplify sin into sin 13.506 * [taylor]: Taking taylor expansion of (pow cos 2) in x 13.506 * [taylor]: Taking taylor expansion of cos in x 13.506 * [backup-simplify]: Simplify cos into cos 13.506 * [taylor]: Taking taylor expansion of (* (cos (/ -2 x)) (* (pow x 2) (* (pow sin 2) (pow cos 2)))) in x 13.506 * [taylor]: Taking taylor expansion of (cos (/ -2 x)) in x 13.506 * [taylor]: Taking taylor expansion of (/ -2 x) in x 13.506 * [taylor]: Taking taylor expansion of -2 in x 13.506 * [backup-simplify]: Simplify -2 into -2 13.506 * [taylor]: Taking taylor expansion of x in x 13.506 * [backup-simplify]: Simplify 0 into 0 13.506 * [backup-simplify]: Simplify 1 into 1 13.507 * [backup-simplify]: Simplify (/ -2 1) into -2 13.507 * [backup-simplify]: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) 13.507 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (pow cos 2))) in x 13.507 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.507 * [taylor]: Taking taylor expansion of x in x 13.507 * [backup-simplify]: Simplify 0 into 0 13.507 * [backup-simplify]: Simplify 1 into 1 13.507 * [taylor]: Taking taylor expansion of (* (pow sin 2) (pow cos 2)) in x 13.507 * [taylor]: Taking taylor expansion of (pow sin 2) in x 13.507 * [taylor]: Taking taylor expansion of sin in x 13.507 * [backup-simplify]: Simplify sin into sin 13.507 * [taylor]: Taking taylor expansion of (pow cos 2) in x 13.507 * [taylor]: Taking taylor expansion of cos in x 13.507 * [backup-simplify]: Simplify cos into cos 13.507 * [backup-simplify]: Simplify (* 1 1) into 1 13.507 * [backup-simplify]: Simplify (* sin sin) into (pow sin 2) 13.507 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 13.507 * [backup-simplify]: Simplify (* (pow sin 2) (pow cos 2)) into (* (pow sin 2) (pow cos 2)) 13.507 * [backup-simplify]: Simplify (* 1 (* (pow sin 2) (pow cos 2))) into (* (pow sin 2) (pow cos 2)) 13.508 * [backup-simplify]: Simplify (* (cos (/ -2 x)) (* (pow sin 2) (pow cos 2))) into (* (cos (/ -2 x)) (* (pow sin 2) (pow cos 2))) 13.508 * [taylor]: Taking taylor expansion of (* (cos (/ -2 x)) (* (pow sin 2) (pow cos 2))) in sin 13.508 * [taylor]: Taking taylor expansion of (cos (/ -2 x)) in sin 13.508 * [taylor]: Taking taylor expansion of (/ -2 x) in sin 13.508 * [taylor]: Taking taylor expansion of -2 in sin 13.508 * [backup-simplify]: Simplify -2 into -2 13.508 * [taylor]: Taking taylor expansion of x in sin 13.508 * [backup-simplify]: Simplify x into x 13.508 * [backup-simplify]: Simplify (/ -2 x) into (/ -2 x) 13.508 * [backup-simplify]: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) 13.508 * [backup-simplify]: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) 13.508 * [taylor]: Taking taylor expansion of (* (pow sin 2) (pow cos 2)) in sin 13.508 * [taylor]: Taking taylor expansion of (pow sin 2) in sin 13.508 * [taylor]: Taking taylor expansion of sin in sin 13.508 * [backup-simplify]: Simplify 0 into 0 13.508 * [backup-simplify]: Simplify 1 into 1 13.508 * [taylor]: Taking taylor expansion of (pow cos 2) in sin 13.508 * [taylor]: Taking taylor expansion of cos in sin 13.508 * [backup-simplify]: Simplify cos into cos 13.508 * [backup-simplify]: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) 13.508 * [backup-simplify]: Simplify (* (sin (/ -2 x)) 0) into 0 13.508 * [backup-simplify]: Simplify (- 0) into 0 13.508 * [backup-simplify]: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) 13.509 * [backup-simplify]: Simplify (* 1 1) into 1 13.509 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 13.509 * [backup-simplify]: Simplify (* 1 (pow cos 2)) into (pow cos 2) 13.509 * [backup-simplify]: Simplify (* (cos (/ -2 x)) (pow cos 2)) into (* (cos (/ -2 x)) (pow cos 2)) 13.509 * [taylor]: Taking taylor expansion of (* (cos (/ -2 x)) (pow cos 2)) in cos 13.509 * [taylor]: Taking taylor expansion of (cos (/ -2 x)) in cos 13.509 * [taylor]: Taking taylor expansion of (/ -2 x) in cos 13.509 * [taylor]: Taking taylor expansion of -2 in cos 13.509 * [backup-simplify]: Simplify -2 into -2 13.509 * [taylor]: Taking taylor expansion of x in cos 13.509 * [backup-simplify]: Simplify x into x 13.509 * [backup-simplify]: Simplify (/ -2 x) into (/ -2 x) 13.509 * [backup-simplify]: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) 13.509 * [backup-simplify]: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) 13.509 * [taylor]: Taking taylor expansion of (pow cos 2) in cos 13.509 * [taylor]: Taking taylor expansion of cos in cos 13.509 * [backup-simplify]: Simplify 0 into 0 13.509 * [backup-simplify]: Simplify 1 into 1 13.509 * [backup-simplify]: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) 13.509 * [backup-simplify]: Simplify (* (sin (/ -2 x)) 0) into 0 13.509 * [backup-simplify]: Simplify (- 0) into 0 13.509 * [backup-simplify]: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) 13.510 * [backup-simplify]: Simplify (* 1 1) into 1 13.510 * [backup-simplify]: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) 13.510 * [backup-simplify]: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) 13.510 * [backup-simplify]: Simplify (+ (* cos 0) (* 0 cos)) into 0 13.510 * [backup-simplify]: Simplify (+ (* sin 0) (* 0 sin)) into 0 13.510 * [backup-simplify]: Simplify (+ (* (pow sin 2) 0) (* 0 (pow cos 2))) into 0 13.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (* (pow sin 2) (pow cos 2)))) into 0 13.511 * [backup-simplify]: Simplify (+ (* (cos (/ -2 x)) 0) (* 0 (* (pow sin 2) (pow cos 2)))) into 0 13.511 * [taylor]: Taking taylor expansion of 0 in sin 13.511 * [backup-simplify]: Simplify 0 into 0 13.511 * [taylor]: Taking taylor expansion of 0 in cos 13.511 * [backup-simplify]: Simplify 0 into 0 13.511 * [backup-simplify]: Simplify 0 into 0 13.511 * [backup-simplify]: Simplify (+ (* cos 0) (* 0 cos)) into 0 13.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow cos 2))) into 0 13.512 * [backup-simplify]: Simplify (+ 0) into 0 13.513 * [backup-simplify]: Simplify (+ (* (cos (/ -2 x)) 0) (* 0 1)) into 0 13.513 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)))) into 0 13.513 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.513 * [backup-simplify]: Simplify (+ (* (sin (/ -2 x)) 0) (* 0 0)) into 0 13.514 * [backup-simplify]: Simplify (- 0) into 0 13.514 * [backup-simplify]: Simplify (+ 0 0) into 0 13.514 * [backup-simplify]: Simplify (+ (* (cos (/ -2 x)) 0) (* 0 (pow cos 2))) into 0 13.514 * [taylor]: Taking taylor expansion of 0 in cos 13.514 * [backup-simplify]: Simplify 0 into 0 13.514 * [backup-simplify]: Simplify 0 into 0 13.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.515 * [backup-simplify]: Simplify (+ 0) into 0 13.515 * [backup-simplify]: Simplify (+ (* (cos (/ -2 x)) 0) (* 0 1)) into 0 13.515 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)))) into 0 13.516 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.516 * [backup-simplify]: Simplify (+ (* (sin (/ -2 x)) 0) (* 0 0)) into 0 13.516 * [backup-simplify]: Simplify (- 0) into 0 13.516 * [backup-simplify]: Simplify (+ 0 0) into 0 13.517 * [backup-simplify]: Simplify (+ (* (cos (/ -2 x)) 0) (* 0 1)) into 0 13.517 * [backup-simplify]: Simplify 0 into 0 13.517 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (* 0 cos))) into 0 13.517 * [backup-simplify]: Simplify (+ (* sin 0) (+ (* 0 0) (* 0 sin))) into 0 13.517 * [backup-simplify]: Simplify (+ (* (pow sin 2) 0) (+ (* 0 0) (* 0 (pow cos 2)))) into 0 13.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (* (pow sin 2) (pow cos 2))))) into 0 13.519 * [backup-simplify]: Simplify (+ (* (cos (/ -2 x)) 0) (+ (* 0 0) (* 0 (* (pow sin 2) (pow cos 2))))) into 0 13.519 * [taylor]: Taking taylor expansion of 0 in sin 13.519 * [backup-simplify]: Simplify 0 into 0 13.519 * [taylor]: Taking taylor expansion of 0 in cos 13.519 * [backup-simplify]: Simplify 0 into 0 13.519 * [backup-simplify]: Simplify 0 into 0 13.519 * [taylor]: Taking taylor expansion of 0 in cos 13.519 * [backup-simplify]: Simplify 0 into 0 13.519 * [backup-simplify]: Simplify 0 into 0 13.519 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (* 0 cos))) into 0 13.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow cos 2)))) into 0 13.521 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.522 * [backup-simplify]: Simplify (+ (* (cos (/ -2 x)) 0) (+ (* 0 0) (* 0 1))) into 0 13.522 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 13.523 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.524 * [backup-simplify]: Simplify (+ (* (sin (/ -2 x)) 0) (+ (* 0 0) (* 0 0))) into 0 13.524 * [backup-simplify]: Simplify (- 0) into 0 13.524 * [backup-simplify]: Simplify (+ 0 0) into 0 13.525 * [backup-simplify]: Simplify (+ (* (cos (/ -2 x)) 0) (+ (* 0 0) (* 0 (pow cos 2)))) into 0 13.525 * [taylor]: Taking taylor expansion of 0 in cos 13.525 * [backup-simplify]: Simplify 0 into 0 13.525 * [backup-simplify]: Simplify 0 into 0 13.525 * [backup-simplify]: Simplify (* (cos (/ -2 (/ 1 (- x)))) (pow (* (/ 1 (- cos)) (* (/ 1 (- sin)) (/ 1 (- x)))) 2)) into (/ (cos (* 2 x)) (* (pow sin 2) (* (pow x 2) (pow cos 2)))) 13.525 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 13.526 * [backup-simplify]: Simplify (* (* sin (* cos x)) (* sin (* cos x))) into (* (pow x 2) (* (pow sin 2) (pow cos 2))) 13.526 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (pow cos 2))) in (sin cos x) around 0 13.526 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (pow cos 2))) in x 13.526 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.526 * [taylor]: Taking taylor expansion of x in x 13.526 * [backup-simplify]: Simplify 0 into 0 13.526 * [backup-simplify]: Simplify 1 into 1 13.526 * [taylor]: Taking taylor expansion of (* (pow sin 2) (pow cos 2)) in x 13.526 * [taylor]: Taking taylor expansion of (pow sin 2) in x 13.526 * [taylor]: Taking taylor expansion of sin in x 13.526 * [backup-simplify]: Simplify sin into sin 13.526 * [taylor]: Taking taylor expansion of (pow cos 2) in x 13.526 * [taylor]: Taking taylor expansion of cos in x 13.526 * [backup-simplify]: Simplify cos into cos 13.526 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (pow cos 2))) in cos 13.526 * [taylor]: Taking taylor expansion of (pow x 2) in cos 13.526 * [taylor]: Taking taylor expansion of x in cos 13.526 * [backup-simplify]: Simplify x into x 13.526 * [taylor]: Taking taylor expansion of (* (pow sin 2) (pow cos 2)) in cos 13.526 * [taylor]: Taking taylor expansion of (pow sin 2) in cos 13.526 * [taylor]: Taking taylor expansion of sin in cos 13.526 * [backup-simplify]: Simplify sin into sin 13.526 * [taylor]: Taking taylor expansion of (pow cos 2) in cos 13.526 * [taylor]: Taking taylor expansion of cos in cos 13.526 * [backup-simplify]: Simplify 0 into 0 13.526 * [backup-simplify]: Simplify 1 into 1 13.526 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (pow cos 2))) in sin 13.526 * [taylor]: Taking taylor expansion of (pow x 2) in sin 13.527 * [taylor]: Taking taylor expansion of x in sin 13.527 * [backup-simplify]: Simplify x into x 13.527 * [taylor]: Taking taylor expansion of (* (pow sin 2) (pow cos 2)) in sin 13.527 * [taylor]: Taking taylor expansion of (pow sin 2) in sin 13.527 * [taylor]: Taking taylor expansion of sin in sin 13.527 * [backup-simplify]: Simplify 0 into 0 13.527 * [backup-simplify]: Simplify 1 into 1 13.527 * [taylor]: Taking taylor expansion of (pow cos 2) in sin 13.527 * [taylor]: Taking taylor expansion of cos in sin 13.527 * [backup-simplify]: Simplify cos into cos 13.527 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (pow cos 2))) in sin 13.527 * [taylor]: Taking taylor expansion of (pow x 2) in sin 13.527 * [taylor]: Taking taylor expansion of x in sin 13.527 * [backup-simplify]: Simplify x into x 13.527 * [taylor]: Taking taylor expansion of (* (pow sin 2) (pow cos 2)) in sin 13.527 * [taylor]: Taking taylor expansion of (pow sin 2) in sin 13.527 * [taylor]: Taking taylor expansion of sin in sin 13.527 * [backup-simplify]: Simplify 0 into 0 13.527 * [backup-simplify]: Simplify 1 into 1 13.527 * [taylor]: Taking taylor expansion of (pow cos 2) in sin 13.527 * [taylor]: Taking taylor expansion of cos in sin 13.527 * [backup-simplify]: Simplify cos into cos 13.527 * [backup-simplify]: Simplify (* x x) into (pow x 2) 13.528 * [backup-simplify]: Simplify (* 1 1) into 1 13.528 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 13.528 * [backup-simplify]: Simplify (* 1 (pow cos 2)) into (pow cos 2) 13.528 * [backup-simplify]: Simplify (* (pow x 2) (pow cos 2)) into (* (pow x 2) (pow cos 2)) 13.528 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow cos 2)) in cos 13.528 * [taylor]: Taking taylor expansion of (pow x 2) in cos 13.528 * [taylor]: Taking taylor expansion of x in cos 13.528 * [backup-simplify]: Simplify x into x 13.528 * [taylor]: Taking taylor expansion of (pow cos 2) in cos 13.528 * [taylor]: Taking taylor expansion of cos in cos 13.528 * [backup-simplify]: Simplify 0 into 0 13.528 * [backup-simplify]: Simplify 1 into 1 13.528 * [backup-simplify]: Simplify (* x x) into (pow x 2) 13.529 * [backup-simplify]: Simplify (* 1 1) into 1 13.529 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 13.529 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.529 * [taylor]: Taking taylor expansion of x in x 13.529 * [backup-simplify]: Simplify 0 into 0 13.529 * [backup-simplify]: Simplify 1 into 1 13.530 * [backup-simplify]: Simplify (* 1 1) into 1 13.530 * [backup-simplify]: Simplify 1 into 1 13.530 * [backup-simplify]: Simplify (+ (* cos 0) (* 0 cos)) into 0 13.530 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow cos 2))) into 0 13.531 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 13.531 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow cos 2))) into 0 13.531 * [taylor]: Taking taylor expansion of 0 in cos 13.531 * [backup-simplify]: Simplify 0 into 0 13.531 * [taylor]: Taking taylor expansion of 0 in x 13.531 * [backup-simplify]: Simplify 0 into 0 13.531 * [backup-simplify]: Simplify 0 into 0 13.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.532 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 13.533 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0 13.533 * [taylor]: Taking taylor expansion of 0 in x 13.533 * [backup-simplify]: Simplify 0 into 0 13.533 * [backup-simplify]: Simplify 0 into 0 13.533 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.533 * [backup-simplify]: Simplify 0 into 0 13.534 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (* 0 cos))) into 0 13.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow cos 2)))) into 0 13.536 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 13.537 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 (pow cos 2)))) into 0 13.537 * [taylor]: Taking taylor expansion of 0 in cos 13.537 * [backup-simplify]: Simplify 0 into 0 13.537 * [taylor]: Taking taylor expansion of 0 in x 13.537 * [backup-simplify]: Simplify 0 into 0 13.537 * [backup-simplify]: Simplify 0 into 0 13.537 * [taylor]: Taking taylor expansion of 0 in x 13.537 * [backup-simplify]: Simplify 0 into 0 13.537 * [backup-simplify]: Simplify 0 into 0 13.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.538 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 13.539 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 1))) into 0 13.539 * [taylor]: Taking taylor expansion of 0 in x 13.539 * [backup-simplify]: Simplify 0 into 0 13.539 * [backup-simplify]: Simplify 0 into 0 13.539 * [backup-simplify]: Simplify (* 1 (pow (* x (* cos sin)) 2)) into (* (pow x 2) (* (pow cos 2) (pow sin 2))) 13.540 * [backup-simplify]: Simplify (* (* (/ 1 sin) (* (/ 1 cos) (/ 1 x))) (* (/ 1 sin) (* (/ 1 cos) (/ 1 x)))) into (/ 1 (* (pow x 2) (* (pow sin 2) (pow cos 2)))) 13.540 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (* (pow sin 2) (pow cos 2)))) in (sin cos x) around 0 13.540 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (* (pow sin 2) (pow cos 2)))) in x 13.540 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (pow cos 2))) in x 13.540 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.540 * [taylor]: Taking taylor expansion of x in x 13.540 * [backup-simplify]: Simplify 0 into 0 13.540 * [backup-simplify]: Simplify 1 into 1 13.540 * [taylor]: Taking taylor expansion of (* (pow sin 2) (pow cos 2)) in x 13.540 * [taylor]: Taking taylor expansion of (pow sin 2) in x 13.540 * [taylor]: Taking taylor expansion of sin in x 13.540 * [backup-simplify]: Simplify sin into sin 13.540 * [taylor]: Taking taylor expansion of (pow cos 2) in x 13.540 * [taylor]: Taking taylor expansion of cos in x 13.540 * [backup-simplify]: Simplify cos into cos 13.541 * [backup-simplify]: Simplify (* 1 1) into 1 13.541 * [backup-simplify]: Simplify (* sin sin) into (pow sin 2) 13.541 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 13.541 * [backup-simplify]: Simplify (* (pow sin 2) (pow cos 2)) into (* (pow sin 2) (pow cos 2)) 13.541 * [backup-simplify]: Simplify (* 1 (* (pow sin 2) (pow cos 2))) into (* (pow sin 2) (pow cos 2)) 13.541 * [backup-simplify]: Simplify (/ 1 (* (pow sin 2) (pow cos 2))) into (/ 1 (* (pow sin 2) (pow cos 2))) 13.541 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (* (pow sin 2) (pow cos 2)))) in cos 13.541 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (pow cos 2))) in cos 13.541 * [taylor]: Taking taylor expansion of (pow x 2) in cos 13.541 * [taylor]: Taking taylor expansion of x in cos 13.541 * [backup-simplify]: Simplify x into x 13.541 * [taylor]: Taking taylor expansion of (* (pow sin 2) (pow cos 2)) in cos 13.541 * [taylor]: Taking taylor expansion of (pow sin 2) in cos 13.541 * [taylor]: Taking taylor expansion of sin in cos 13.541 * [backup-simplify]: Simplify sin into sin 13.541 * [taylor]: Taking taylor expansion of (pow cos 2) in cos 13.541 * [taylor]: Taking taylor expansion of cos in cos 13.541 * [backup-simplify]: Simplify 0 into 0 13.541 * [backup-simplify]: Simplify 1 into 1 13.542 * [backup-simplify]: Simplify (* x x) into (pow x 2) 13.542 * [backup-simplify]: Simplify (* sin sin) into (pow sin 2) 13.542 * [backup-simplify]: Simplify (* 1 1) into 1 13.542 * [backup-simplify]: Simplify (* (pow sin 2) 1) into (pow sin 2) 13.542 * [backup-simplify]: Simplify (* (pow x 2) (pow sin 2)) into (* (pow x 2) (pow sin 2)) 13.542 * [backup-simplify]: Simplify (/ 1 (* (pow x 2) (pow sin 2))) into (/ 1 (* (pow x 2) (pow sin 2))) 13.542 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (* (pow sin 2) (pow cos 2)))) in sin 13.542 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (pow cos 2))) in sin 13.542 * [taylor]: Taking taylor expansion of (pow x 2) in sin 13.543 * [taylor]: Taking taylor expansion of x in sin 13.543 * [backup-simplify]: Simplify x into x 13.543 * [taylor]: Taking taylor expansion of (* (pow sin 2) (pow cos 2)) in sin 13.543 * [taylor]: Taking taylor expansion of (pow sin 2) in sin 13.543 * [taylor]: Taking taylor expansion of sin in sin 13.543 * [backup-simplify]: Simplify 0 into 0 13.543 * [backup-simplify]: Simplify 1 into 1 13.543 * [taylor]: Taking taylor expansion of (pow cos 2) in sin 13.543 * [taylor]: Taking taylor expansion of cos in sin 13.543 * [backup-simplify]: Simplify cos into cos 13.543 * [backup-simplify]: Simplify (* x x) into (pow x 2) 13.543 * [backup-simplify]: Simplify (* 1 1) into 1 13.543 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 13.543 * [backup-simplify]: Simplify (* 1 (pow cos 2)) into (pow cos 2) 13.543 * [backup-simplify]: Simplify (* (pow x 2) (pow cos 2)) into (* (pow x 2) (pow cos 2)) 13.544 * [backup-simplify]: Simplify (/ 1 (* (pow x 2) (pow cos 2))) into (/ 1 (* (pow x 2) (pow cos 2))) 13.544 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (* (pow sin 2) (pow cos 2)))) in sin 13.544 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (pow cos 2))) in sin 13.544 * [taylor]: Taking taylor expansion of (pow x 2) in sin 13.544 * [taylor]: Taking taylor expansion of x in sin 13.544 * [backup-simplify]: Simplify x into x 13.544 * [taylor]: Taking taylor expansion of (* (pow sin 2) (pow cos 2)) in sin 13.544 * [taylor]: Taking taylor expansion of (pow sin 2) in sin 13.544 * [taylor]: Taking taylor expansion of sin in sin 13.544 * [backup-simplify]: Simplify 0 into 0 13.544 * [backup-simplify]: Simplify 1 into 1 13.544 * [taylor]: Taking taylor expansion of (pow cos 2) in sin 13.544 * [taylor]: Taking taylor expansion of cos in sin 13.544 * [backup-simplify]: Simplify cos into cos 13.544 * [backup-simplify]: Simplify (* x x) into (pow x 2) 13.545 * [backup-simplify]: Simplify (* 1 1) into 1 13.545 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 13.545 * [backup-simplify]: Simplify (* 1 (pow cos 2)) into (pow cos 2) 13.545 * [backup-simplify]: Simplify (* (pow x 2) (pow cos 2)) into (* (pow x 2) (pow cos 2)) 13.545 * [backup-simplify]: Simplify (/ 1 (* (pow x 2) (pow cos 2))) into (/ 1 (* (pow x 2) (pow cos 2))) 13.545 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow cos 2))) in cos 13.545 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow cos 2)) in cos 13.545 * [taylor]: Taking taylor expansion of (pow x 2) in cos 13.545 * [taylor]: Taking taylor expansion of x in cos 13.545 * [backup-simplify]: Simplify x into x 13.545 * [taylor]: Taking taylor expansion of (pow cos 2) in cos 13.545 * [taylor]: Taking taylor expansion of cos in cos 13.545 * [backup-simplify]: Simplify 0 into 0 13.545 * [backup-simplify]: Simplify 1 into 1 13.545 * [backup-simplify]: Simplify (* x x) into (pow x 2) 13.546 * [backup-simplify]: Simplify (* 1 1) into 1 13.546 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 13.546 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 13.546 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 13.546 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.546 * [taylor]: Taking taylor expansion of x in x 13.546 * [backup-simplify]: Simplify 0 into 0 13.546 * [backup-simplify]: Simplify 1 into 1 13.547 * [backup-simplify]: Simplify (* 1 1) into 1 13.547 * [backup-simplify]: Simplify (/ 1 1) into 1 13.547 * [backup-simplify]: Simplify 1 into 1 13.547 * [backup-simplify]: Simplify (+ (* cos 0) (* 0 cos)) into 0 13.548 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.548 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow cos 2))) into 0 13.548 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 13.549 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow cos 2))) into 0 13.549 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow x 2) (pow cos 2))) (/ 0 (* (pow x 2) (pow cos 2)))))) into 0 13.549 * [taylor]: Taking taylor expansion of 0 in cos 13.549 * [backup-simplify]: Simplify 0 into 0 13.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.550 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 13.550 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0 13.550 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 13.550 * [taylor]: Taking taylor expansion of 0 in x 13.550 * [backup-simplify]: Simplify 0 into 0 13.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.552 * [backup-simplify]: Simplify 0 into 0 13.552 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (* 0 cos))) into 0 13.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow cos 2)))) into 0 13.555 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 13.555 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 (pow cos 2)))) into 0 13.556 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow x 2) (pow cos 2))) (/ 0 (* (pow x 2) (pow cos 2)))) (* 0 (/ 0 (* (pow x 2) (pow cos 2)))))) into 0 13.556 * [taylor]: Taking taylor expansion of 0 in cos 13.556 * [backup-simplify]: Simplify 0 into 0 13.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.557 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 13.558 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 1))) into 0 13.558 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 13.558 * [taylor]: Taking taylor expansion of 0 in x 13.558 * [backup-simplify]: Simplify 0 into 0 13.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.560 * [backup-simplify]: Simplify 0 into 0 13.561 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos)))) into 0 13.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow cos 2))))) into 0 13.564 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 13.565 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow cos 2))))) into 0 13.566 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow x 2) (pow cos 2))) (/ 0 (* (pow x 2) (pow cos 2)))) (* 0 (/ 0 (* (pow x 2) (pow cos 2)))) (* 0 (/ 0 (* (pow x 2) (pow cos 2)))))) into 0 13.566 * [taylor]: Taking taylor expansion of 0 in cos 13.566 * [backup-simplify]: Simplify 0 into 0 13.566 * [taylor]: Taking taylor expansion of 0 in x 13.566 * [backup-simplify]: Simplify 0 into 0 13.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.568 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 13.568 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.569 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 13.569 * [taylor]: Taking taylor expansion of 0 in x 13.569 * [backup-simplify]: Simplify 0 into 0 13.569 * [backup-simplify]: Simplify 0 into 0 13.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.571 * [backup-simplify]: Simplify 0 into 0 13.572 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))) into 0 13.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow cos 2)))))) into 0 13.574 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 13.575 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow cos 2)))))) into 0 13.576 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow x 2) (pow cos 2))) (/ 0 (* (pow x 2) (pow cos 2)))) (* 0 (/ 0 (* (pow x 2) (pow cos 2)))) (* 0 (/ 0 (* (pow x 2) (pow cos 2)))) (* 0 (/ 0 (* (pow x 2) (pow cos 2)))))) into 0 13.576 * [taylor]: Taking taylor expansion of 0 in cos 13.576 * [backup-simplify]: Simplify 0 into 0 13.576 * [taylor]: Taking taylor expansion of 0 in x 13.576 * [backup-simplify]: Simplify 0 into 0 13.576 * [taylor]: Taking taylor expansion of 0 in x 13.576 * [backup-simplify]: Simplify 0 into 0 13.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.577 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 13.578 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.578 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 13.578 * [taylor]: Taking taylor expansion of 0 in x 13.578 * [backup-simplify]: Simplify 0 into 0 13.578 * [backup-simplify]: Simplify 0 into 0 13.578 * [backup-simplify]: Simplify 0 into 0 13.578 * [backup-simplify]: Simplify (* 1 (pow (* (/ 1 (/ 1 x)) (* (/ 1 (/ 1 cos)) (/ 1 (/ 1 sin)))) 2)) into (* (pow x 2) (* (pow cos 2) (pow sin 2))) 13.578 * [backup-simplify]: Simplify (* (* (/ 1 (- sin)) (* (/ 1 (- cos)) (/ 1 (- x)))) (* (/ 1 (- sin)) (* (/ 1 (- cos)) (/ 1 (- x))))) into (/ 1 (* (pow x 2) (* (pow sin 2) (pow cos 2)))) 13.578 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (* (pow sin 2) (pow cos 2)))) in (sin cos x) around 0 13.579 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (* (pow sin 2) (pow cos 2)))) in x 13.579 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (pow cos 2))) in x 13.579 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.579 * [taylor]: Taking taylor expansion of x in x 13.579 * [backup-simplify]: Simplify 0 into 0 13.579 * [backup-simplify]: Simplify 1 into 1 13.579 * [taylor]: Taking taylor expansion of (* (pow sin 2) (pow cos 2)) in x 13.579 * [taylor]: Taking taylor expansion of (pow sin 2) in x 13.579 * [taylor]: Taking taylor expansion of sin in x 13.579 * [backup-simplify]: Simplify sin into sin 13.579 * [taylor]: Taking taylor expansion of (pow cos 2) in x 13.579 * [taylor]: Taking taylor expansion of cos in x 13.579 * [backup-simplify]: Simplify cos into cos 13.579 * [backup-simplify]: Simplify (* 1 1) into 1 13.579 * [backup-simplify]: Simplify (* sin sin) into (pow sin 2) 13.579 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 13.579 * [backup-simplify]: Simplify (* (pow sin 2) (pow cos 2)) into (* (pow sin 2) (pow cos 2)) 13.579 * [backup-simplify]: Simplify (* 1 (* (pow sin 2) (pow cos 2))) into (* (pow sin 2) (pow cos 2)) 13.579 * [backup-simplify]: Simplify (/ 1 (* (pow sin 2) (pow cos 2))) into (/ 1 (* (pow sin 2) (pow cos 2))) 13.579 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (* (pow sin 2) (pow cos 2)))) in cos 13.579 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (pow cos 2))) in cos 13.579 * [taylor]: Taking taylor expansion of (pow x 2) in cos 13.579 * [taylor]: Taking taylor expansion of x in cos 13.579 * [backup-simplify]: Simplify x into x 13.579 * [taylor]: Taking taylor expansion of (* (pow sin 2) (pow cos 2)) in cos 13.579 * [taylor]: Taking taylor expansion of (pow sin 2) in cos 13.579 * [taylor]: Taking taylor expansion of sin in cos 13.579 * [backup-simplify]: Simplify sin into sin 13.579 * [taylor]: Taking taylor expansion of (pow cos 2) in cos 13.579 * [taylor]: Taking taylor expansion of cos in cos 13.579 * [backup-simplify]: Simplify 0 into 0 13.579 * [backup-simplify]: Simplify 1 into 1 13.579 * [backup-simplify]: Simplify (* x x) into (pow x 2) 13.580 * [backup-simplify]: Simplify (* sin sin) into (pow sin 2) 13.580 * [backup-simplify]: Simplify (* 1 1) into 1 13.580 * [backup-simplify]: Simplify (* (pow sin 2) 1) into (pow sin 2) 13.580 * [backup-simplify]: Simplify (* (pow x 2) (pow sin 2)) into (* (pow x 2) (pow sin 2)) 13.580 * [backup-simplify]: Simplify (/ 1 (* (pow x 2) (pow sin 2))) into (/ 1 (* (pow x 2) (pow sin 2))) 13.580 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (* (pow sin 2) (pow cos 2)))) in sin 13.580 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (pow cos 2))) in sin 13.580 * [taylor]: Taking taylor expansion of (pow x 2) in sin 13.580 * [taylor]: Taking taylor expansion of x in sin 13.580 * [backup-simplify]: Simplify x into x 13.580 * [taylor]: Taking taylor expansion of (* (pow sin 2) (pow cos 2)) in sin 13.580 * [taylor]: Taking taylor expansion of (pow sin 2) in sin 13.580 * [taylor]: Taking taylor expansion of sin in sin 13.580 * [backup-simplify]: Simplify 0 into 0 13.580 * [backup-simplify]: Simplify 1 into 1 13.580 * [taylor]: Taking taylor expansion of (pow cos 2) in sin 13.580 * [taylor]: Taking taylor expansion of cos in sin 13.580 * [backup-simplify]: Simplify cos into cos 13.581 * [backup-simplify]: Simplify (* x x) into (pow x 2) 13.581 * [backup-simplify]: Simplify (* 1 1) into 1 13.581 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 13.581 * [backup-simplify]: Simplify (* 1 (pow cos 2)) into (pow cos 2) 13.581 * [backup-simplify]: Simplify (* (pow x 2) (pow cos 2)) into (* (pow x 2) (pow cos 2)) 13.581 * [backup-simplify]: Simplify (/ 1 (* (pow x 2) (pow cos 2))) into (/ 1 (* (pow x 2) (pow cos 2))) 13.581 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (* (pow sin 2) (pow cos 2)))) in sin 13.581 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (pow cos 2))) in sin 13.581 * [taylor]: Taking taylor expansion of (pow x 2) in sin 13.581 * [taylor]: Taking taylor expansion of x in sin 13.581 * [backup-simplify]: Simplify x into x 13.581 * [taylor]: Taking taylor expansion of (* (pow sin 2) (pow cos 2)) in sin 13.581 * [taylor]: Taking taylor expansion of (pow sin 2) in sin 13.581 * [taylor]: Taking taylor expansion of sin in sin 13.582 * [backup-simplify]: Simplify 0 into 0 13.582 * [backup-simplify]: Simplify 1 into 1 13.582 * [taylor]: Taking taylor expansion of (pow cos 2) in sin 13.582 * [taylor]: Taking taylor expansion of cos in sin 13.582 * [backup-simplify]: Simplify cos into cos 13.582 * [backup-simplify]: Simplify (* x x) into (pow x 2) 13.582 * [backup-simplify]: Simplify (* 1 1) into 1 13.582 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 13.582 * [backup-simplify]: Simplify (* 1 (pow cos 2)) into (pow cos 2) 13.582 * [backup-simplify]: Simplify (* (pow x 2) (pow cos 2)) into (* (pow x 2) (pow cos 2)) 13.582 * [backup-simplify]: Simplify (/ 1 (* (pow x 2) (pow cos 2))) into (/ 1 (* (pow x 2) (pow cos 2))) 13.583 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow cos 2))) in cos 13.583 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow cos 2)) in cos 13.583 * [taylor]: Taking taylor expansion of (pow x 2) in cos 13.583 * [taylor]: Taking taylor expansion of x in cos 13.583 * [backup-simplify]: Simplify x into x 13.583 * [taylor]: Taking taylor expansion of (pow cos 2) in cos 13.583 * [taylor]: Taking taylor expansion of cos in cos 13.583 * [backup-simplify]: Simplify 0 into 0 13.583 * [backup-simplify]: Simplify 1 into 1 13.583 * [backup-simplify]: Simplify (* x x) into (pow x 2) 13.583 * [backup-simplify]: Simplify (* 1 1) into 1 13.583 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 13.583 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 13.583 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 13.583 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.583 * [taylor]: Taking taylor expansion of x in x 13.583 * [backup-simplify]: Simplify 0 into 0 13.583 * [backup-simplify]: Simplify 1 into 1 13.584 * [backup-simplify]: Simplify (* 1 1) into 1 13.584 * [backup-simplify]: Simplify (/ 1 1) into 1 13.584 * [backup-simplify]: Simplify 1 into 1 13.584 * [backup-simplify]: Simplify (+ (* cos 0) (* 0 cos)) into 0 13.585 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.585 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow cos 2))) into 0 13.586 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 13.586 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow cos 2))) into 0 13.586 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow x 2) (pow cos 2))) (/ 0 (* (pow x 2) (pow cos 2)))))) into 0 13.586 * [taylor]: Taking taylor expansion of 0 in cos 13.586 * [backup-simplify]: Simplify 0 into 0 13.587 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.587 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 13.587 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0 13.587 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 13.587 * [taylor]: Taking taylor expansion of 0 in x 13.587 * [backup-simplify]: Simplify 0 into 0 13.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.589 * [backup-simplify]: Simplify 0 into 0 13.589 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (* 0 cos))) into 0 13.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow cos 2)))) into 0 13.596 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 13.597 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 (pow cos 2)))) into 0 13.597 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow x 2) (pow cos 2))) (/ 0 (* (pow x 2) (pow cos 2)))) (* 0 (/ 0 (* (pow x 2) (pow cos 2)))))) into 0 13.597 * [taylor]: Taking taylor expansion of 0 in cos 13.597 * [backup-simplify]: Simplify 0 into 0 13.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.598 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 13.599 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 1))) into 0 13.599 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 13.599 * [taylor]: Taking taylor expansion of 0 in x 13.599 * [backup-simplify]: Simplify 0 into 0 13.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.601 * [backup-simplify]: Simplify 0 into 0 13.602 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos)))) into 0 13.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow cos 2))))) into 0 13.605 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 13.606 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow cos 2))))) into 0 13.606 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow x 2) (pow cos 2))) (/ 0 (* (pow x 2) (pow cos 2)))) (* 0 (/ 0 (* (pow x 2) (pow cos 2)))) (* 0 (/ 0 (* (pow x 2) (pow cos 2)))))) into 0 13.606 * [taylor]: Taking taylor expansion of 0 in cos 13.606 * [backup-simplify]: Simplify 0 into 0 13.606 * [taylor]: Taking taylor expansion of 0 in x 13.606 * [backup-simplify]: Simplify 0 into 0 13.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.608 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 13.609 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.609 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 13.609 * [taylor]: Taking taylor expansion of 0 in x 13.609 * [backup-simplify]: Simplify 0 into 0 13.609 * [backup-simplify]: Simplify 0 into 0 13.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.611 * [backup-simplify]: Simplify 0 into 0 13.612 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))) into 0 13.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow cos 2)))))) into 0 13.616 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 13.617 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow cos 2)))))) into 0 13.618 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow x 2) (pow cos 2))) (/ 0 (* (pow x 2) (pow cos 2)))) (* 0 (/ 0 (* (pow x 2) (pow cos 2)))) (* 0 (/ 0 (* (pow x 2) (pow cos 2)))) (* 0 (/ 0 (* (pow x 2) (pow cos 2)))))) into 0 13.618 * [taylor]: Taking taylor expansion of 0 in cos 13.618 * [backup-simplify]: Simplify 0 into 0 13.618 * [taylor]: Taking taylor expansion of 0 in x 13.618 * [backup-simplify]: Simplify 0 into 0 13.618 * [taylor]: Taking taylor expansion of 0 in x 13.618 * [backup-simplify]: Simplify 0 into 0 13.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.620 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 13.621 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.621 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 13.621 * [taylor]: Taking taylor expansion of 0 in x 13.621 * [backup-simplify]: Simplify 0 into 0 13.621 * [backup-simplify]: Simplify 0 into 0 13.621 * [backup-simplify]: Simplify 0 into 0 13.622 * [backup-simplify]: Simplify (* 1 (pow (* (/ 1 (/ 1 (- x))) (* (/ 1 (/ 1 (- cos))) (/ 1 (/ 1 (- sin))))) 2)) into (* (pow x 2) (* (pow cos 2) (pow sin 2))) 13.622 * * * [progress]: simplifying candidates 13.622 * * * * [progress]: [ 1 / 154 ] simplifiying candidate # 13.622 * * * * [progress]: [ 2 / 154 ] simplifiying candidate # 13.622 * * * * [progress]: [ 3 / 154 ] simplifiying candidate # 13.622 * * * * [progress]: [ 4 / 154 ] simplifiying candidate # 13.622 * * * * [progress]: [ 5 / 154 ] simplifiying candidate # 13.622 * * * * [progress]: [ 6 / 154 ] simplifiying candidate # 13.623 * * * * [progress]: [ 7 / 154 ] simplifiying candidate # 13.623 * * * * [progress]: [ 8 / 154 ] simplifiying candidate # 13.623 * * * 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[progress]: [ 146 / 154 ] simplifiying candidate # 13.631 * * * * [progress]: [ 147 / 154 ] simplifiying candidate # 13.631 * * * * [progress]: [ 148 / 154 ] simplifiying candidate # 13.631 * * * * [progress]: [ 149 / 154 ] simplifiying candidate # 13.631 * * * * [progress]: [ 150 / 154 ] simplifiying candidate # 13.631 * * * * [progress]: [ 151 / 154 ] simplifiying candidate # 13.631 * * * * [progress]: [ 152 / 154 ] simplifiying candidate # 13.631 * * * * [progress]: [ 153 / 154 ] simplifiying candidate # 13.631 * * * * [progress]: [ 154 / 154 ] simplifiying candidate # 13.634 * [simplify]: Simplifying: (expm1 (* sin (* cos x))) (log1p (* sin (* cos x))) (* sin (* cos x)) (* sin (* cos x)) (+ (log sin) (+ (log cos) (log x))) (+ (log sin) (log (* cos x))) (log (* sin (* cos x))) (exp (* sin (* cos x))) (* (* (* sin sin) sin) (* (* (* cos cos) cos) (* (* x x) x))) (* (* (* sin sin) sin) (* (* (* cos x) (* cos x)) (* cos x))) (* (cbrt (* sin (* cos x))) (cbrt (* sin (* cos x)))) (cbrt (* sin (* cos x))) (* (* (* sin (* cos x)) (* sin (* cos x))) (* sin (* cos x))) (sqrt (* sin (* cos x))) (sqrt (* sin (* cos x))) (* sin cos) (* (cbrt sin) (* cos x)) (* (sqrt sin) (* cos x)) (* sin (* cos x)) (expm1 (* sin (* cos x))) (log1p (* sin (* cos x))) (* sin (* cos x)) (* sin (* cos x)) (+ (log sin) (+ (log cos) (log x))) (+ (log sin) (log (* cos x))) (log (* sin (* cos x))) (exp (* sin (* cos x))) (* (* (* sin sin) sin) (* (* (* cos cos) cos) (* (* x x) x))) (* (* (* sin sin) sin) (* (* (* cos x) (* cos x)) (* cos x))) (* (cbrt (* sin (* cos x))) (cbrt (* sin (* cos x)))) (cbrt (* sin (* cos x))) (* (* (* sin (* cos x)) (* sin (* cos x))) (* sin (* cos x))) (sqrt (* sin (* cos x))) (sqrt (* sin (* cos x))) (* sin cos) (* (cbrt sin) (* cos x)) (* (sqrt sin) (* cos x)) (* sin (* cos x)) (expm1 (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x))))) (log1p (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x))))) (- (log (cos (* 2 x))) (+ (+ (log sin) (+ (log cos) (log x))) (+ (log sin) (+ (log cos) (log x))))) (- (log (cos (* 2 x))) (+ (+ (log sin) (+ (log cos) (log x))) (+ (log sin) (log (* cos x))))) (- (log (cos (* 2 x))) (+ (+ (log sin) (+ (log cos) (log x))) (log (* sin (* cos x))))) (- (log (cos (* 2 x))) (+ (+ (log sin) (log (* cos x))) (+ (log sin) (+ (log cos) (log x))))) (- (log (cos (* 2 x))) (+ (+ (log sin) (log (* cos x))) (+ (log sin) (log (* cos x))))) (- (log (cos (* 2 x))) (+ (+ (log sin) (log (* cos x))) (log (* sin (* cos x))))) (- (log (cos (* 2 x))) (+ (log (* sin (* cos x))) (+ (log sin) (+ (log cos) (log x))))) (- (log (cos (* 2 x))) (+ (log (* sin (* cos x))) (+ (log sin) (log (* cos x))))) (- (log (cos (* 2 x))) (+ (log (* sin (* cos x))) (log (* sin (* cos x))))) (- (log (cos (* 2 x))) (log (* (* sin (* cos x)) (* sin (* cos x))))) (log (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x))))) (exp (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x))))) (/ (* (* (cos (* 2 x)) (cos (* 2 x))) (cos (* 2 x))) (* (* (* (* sin sin) sin) (* (* (* cos cos) cos) (* (* x x) x))) (* (* (* sin sin) sin) (* (* (* cos cos) cos) (* (* x x) x))))) (/ (* (* (cos (* 2 x)) (cos (* 2 x))) (cos (* 2 x))) (* (* (* (* sin sin) sin) (* (* (* cos cos) cos) (* (* x x) x))) (* (* (* sin sin) sin) (* (* (* cos x) (* cos x)) (* cos x))))) (/ (* (* (cos (* 2 x)) (cos (* 2 x))) (cos (* 2 x))) (* (* (* (* sin sin) sin) (* (* (* cos cos) cos) (* (* x x) x))) (* (* (* sin (* cos x)) (* sin (* cos x))) (* sin (* cos x))))) (/ (* (* (cos (* 2 x)) (cos (* 2 x))) (cos (* 2 x))) (* (* (* (* sin sin) sin) (* (* (* cos x) (* cos x)) (* cos x))) (* (* (* sin sin) sin) (* (* (* cos cos) cos) (* (* x x) x))))) (/ (* (* (cos (* 2 x)) (cos (* 2 x))) (cos (* 2 x))) (* (* (* (* sin sin) sin) (* (* (* cos x) (* cos x)) (* cos x))) (* (* (* sin sin) sin) (* (* (* cos x) (* cos x)) (* cos x))))) (/ (* (* (cos (* 2 x)) (cos (* 2 x))) (cos (* 2 x))) (* (* (* (* sin sin) sin) (* (* (* cos x) (* cos x)) (* cos x))) (* (* (* sin (* cos x)) (* sin (* cos x))) (* sin (* cos x))))) (/ (* (* (cos (* 2 x)) (cos (* 2 x))) (cos (* 2 x))) (* (* (* (* sin (* cos x)) (* sin (* cos x))) (* sin (* cos x))) (* (* (* sin sin) sin) (* (* (* cos cos) cos) (* (* x x) x))))) (/ (* (* (cos (* 2 x)) (cos (* 2 x))) (cos (* 2 x))) (* (* (* (* sin (* cos x)) (* sin (* cos x))) (* sin (* cos x))) (* (* (* sin sin) sin) (* (* (* cos x) (* cos x)) (* cos x))))) (/ (* (* (cos (* 2 x)) (cos (* 2 x))) (cos (* 2 x))) (* (* (* (* sin (* cos x)) (* sin (* cos x))) (* sin (* cos x))) (* (* (* sin (* cos x)) (* sin (* cos x))) (* sin (* cos x))))) (/ (* (* (cos (* 2 x)) (cos (* 2 x))) (cos (* 2 x))) (* (* (* (* sin (* cos x)) (* sin (* cos x))) (* (* sin (* cos x)) (* sin (* cos x)))) (* (* sin (* cos x)) (* sin (* cos x))))) (* (cbrt (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x))))) (cbrt (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x)))))) (cbrt (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x))))) (* (* (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x)))) (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x))))) (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x))))) (sqrt (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x))))) (sqrt (/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x))))) (- (cos (* 2 x))) (- (* (* sin (* cos x)) (* sin (* cos x)))) (/ (* (cos x) (cos x)) (* (* sin (* cos x)) (* sin (* cos x)))) (/ (* (sin x) (sin x)) (* (* sin (* cos x)) (* sin (* cos x)))) (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (* sin (* cos x))) (/ (cbrt (cos (* 2 x))) (* sin (* cos x))) (/ (sqrt (cos (* 2 x))) (* sin (* cos x))) (/ (sqrt (cos (* 2 x))) (* sin (* cos x))) (/ 1 (* sin (* cos x))) (/ (cos (* 2 x)) (* sin (* cos x))) (/ 1 (* (* sin (* cos x)) (* sin (* cos x)))) (/ (* (* sin (* cos x)) (* sin (* cos x))) (cos (* 2 x))) (/ (cos (* 2 x)) (* sin (* cos x))) (/ (* (* sin (* cos x)) (* sin (* cos x))) (cbrt (cos (* 2 x)))) (/ (* (* sin (* cos x)) (* sin (* cos x))) (sqrt (cos (* 2 x)))) (/ (* (* sin (* cos x)) (* sin (* cos x))) (cos (* 2 x))) (expm1 (* (* sin (* cos x)) (* sin (* cos x)))) (log1p (* (* sin (* cos x)) (* sin (* cos x)))) (+ 1 1) (+ 1 1) (+ 1 1) (+ 1 1) (+ 1 1) (+ 1 1) (+ 1 1) (+ 1 1) (+ 1 1) (* (* sin (* cos x)) (* sin (* cos x))) (* (* sin (* cos x)) (* sin (* cos x))) (* (* sin (* cos x)) (* sin (* cos x))) (* (* sin (* cos x)) (* sin (* cos x))) (* (* sin (* cos x)) (* sin (* cos x))) (* (* sin (* cos x)) (* sin (* cos x))) (* (* sin (* cos x)) (* sin (* cos x))) (* (* sin (* cos x)) (* sin (* cos x))) (* (* sin (* cos x)) (* sin (* cos x))) (+ 1 1) (+ 1 1) (+ 1 1) (+ (+ (log sin) (+ (log cos) (log x))) (+ (log sin) (+ (log cos) (log x)))) (+ (+ (log sin) (+ (log cos) (log x))) (+ (log sin) (log (* cos x)))) (+ (+ (log sin) (+ (log cos) (log x))) (log (* sin (* cos x)))) (+ (+ (log sin) (log (* cos x))) (+ (log sin) (+ (log cos) (log x)))) (+ (+ (log sin) (log (* cos x))) (+ (log sin) (log (* cos x)))) (+ (+ (log sin) (log (* cos x))) (log (* sin (* cos x)))) (+ (log (* sin (* cos x))) (+ (log sin) (+ (log cos) (log x)))) (+ (log (* sin (* cos x))) (+ (log sin) (log (* cos x)))) (+ (log (* sin (* cos x))) (log (* sin (* cos x)))) (log (* (* sin (* cos x)) (* sin (* cos x)))) (exp (* (* sin (* cos x)) (* sin (* cos x)))) (* (* (* (* sin sin) sin) (* (* (* cos cos) cos) (* (* x x) x))) (* (* (* sin sin) sin) (* (* (* cos cos) cos) (* (* x x) x)))) (* (* (* (* sin sin) sin) (* (* (* cos cos) cos) (* (* x x) x))) (* (* (* sin sin) sin) (* (* (* cos x) (* cos x)) (* cos x)))) (* (* (* (* sin sin) sin) (* (* (* cos cos) cos) (* (* x x) x))) (* (* (* sin (* cos x)) (* sin (* cos x))) (* sin (* cos x)))) (* (* (* (* sin sin) sin) (* (* (* cos x) (* cos x)) (* cos x))) (* (* (* sin sin) sin) (* (* (* cos cos) cos) (* (* x x) x)))) (* (* (* (* sin sin) sin) (* (* (* cos x) (* cos x)) (* cos x))) (* (* (* sin sin) sin) (* (* (* cos x) (* cos x)) (* cos x)))) (* (* (* (* sin sin) sin) (* (* (* cos x) (* cos x)) (* cos x))) (* (* (* sin (* cos x)) (* sin (* cos x))) (* sin (* cos x)))) (* (* (* (* sin (* cos x)) (* sin (* cos x))) (* sin (* cos x))) (* (* (* sin sin) sin) (* (* (* cos cos) cos) (* (* x x) x)))) (* (* (* (* sin (* cos x)) (* sin (* cos x))) (* sin (* cos x))) (* (* (* sin sin) sin) (* (* (* cos x) (* cos x)) (* cos x)))) (* (* (* (* sin (* cos x)) (* sin (* cos x))) (* sin (* cos x))) (* (* (* sin (* cos x)) (* sin (* cos x))) (* sin (* cos x)))) (* (cbrt (* (* sin (* cos x)) (* sin (* cos x)))) (cbrt (* (* sin (* cos x)) (* sin (* cos x))))) (cbrt (* (* sin (* cos x)) (* sin (* cos x)))) (* (* (* (* sin (* cos x)) (* sin (* cos x))) (* (* sin (* cos x)) (* sin (* cos x)))) (* (* sin (* cos x)) (* sin (* cos x)))) (sqrt (* (* sin (* cos x)) (* sin (* cos x)))) (sqrt (* (* sin (* cos x)) (* sin (* cos x)))) (* sin sin) (* (* cos x) (* cos x)) (* 2 1) (* 2 1) (* 2 1) (* 2 1) (* 2 1) (* 2 1) (* 2 1) (* 2 1) (* 2 1) (* (* sin (* cos x)) sin) (* (* cos x) (* sin (* cos x))) 0 (* x (* cos sin)) (* x (* cos sin)) 0 (* x (* cos sin)) (* x (* cos sin)) (- (+ (/ 1 (* (pow x 2) (* (pow cos 2) (pow sin 2)))) (* 2/3 (/ (pow x 2) (* (pow cos 2) (pow sin 2))))) (* 2 (/ 1 (* (pow cos 2) (pow sin 2))))) (/ (cos (* 2 x)) (* (pow sin 2) (* (pow x 2) (pow cos 2)))) (/ (cos (* 2 x)) (* (pow sin 2) (* (pow x 2) (pow cos 2)))) (* (pow x 2) (* (pow cos 2) (pow sin 2))) (* (pow x 2) (* (pow cos 2) (pow sin 2))) (* (pow x 2) (* (pow cos 2) (pow sin 2))) 13.637 * * [simplify]: iteration 1: (144 enodes) 13.689 * * [simplify]: iteration 2: (393 enodes) 14.046 * * [simplify]: Extracting #0: cost 50 inf + 0 14.047 * * [simplify]: Extracting #1: cost 398 inf + 2 14.056 * * [simplify]: Extracting #2: cost 455 inf + 19216 14.082 * * [simplify]: Extracting #3: cost 207 inf + 68284 14.116 * * [simplify]: Extracting #4: cost 136 inf + 82039 14.165 * * [simplify]: Extracting #5: cost 25 inf + 118201 14.219 * * [simplify]: Extracting #6: cost 1 inf + 127763 14.273 * * [simplify]: Extracting #7: cost 0 inf + 127572 14.329 * [simplify]: Simplified to: (expm1 (* (* x cos) sin)) (log1p (* (* x cos) sin)) (* (* x cos) sin) (* (* x cos) sin) (log (* (* x cos) sin)) (log (* (* x cos) sin)) (log (* (* x cos) sin)) (exp (* (* x cos) sin)) (* (* (* (* x cos) sin) (* (* x cos) sin)) (* (* x cos) sin)) (* (* (* (* x cos) sin) (* (* x cos) sin)) (* (* x cos) sin)) (* (cbrt (* (* x cos) sin)) (cbrt (* (* x cos) sin))) (cbrt (* (* x cos) sin)) (* (* (* (* x cos) sin) (* (* x cos) sin)) (* (* x cos) sin)) (sqrt (* (* x cos) sin)) (sqrt (* (* x cos) sin)) (* sin cos) (* (cbrt sin) (* cos x)) (* (sqrt sin) (* cos x)) (* (* x cos) sin) (expm1 (* (* x cos) sin)) (log1p (* (* x cos) sin)) (* (* x cos) sin) (* (* x cos) sin) (log (* (* x cos) sin)) (log (* (* x cos) sin)) (log (* (* x cos) sin)) (exp (* (* x cos) sin)) (* (* (* (* x cos) sin) (* (* x cos) sin)) (* (* x cos) sin)) (* (* (* (* x cos) sin) (* (* x cos) sin)) (* (* x cos) sin)) (* (cbrt (* (* x cos) sin)) (cbrt (* (* x cos) sin))) (cbrt (* (* x cos) sin)) (* (* (* (* x cos) sin) (* (* x cos) sin)) (* (* x cos) sin)) (sqrt (* (* x cos) sin)) (sqrt (* (* x cos) sin)) (* sin cos) (* (cbrt sin) (* cos x)) (* (sqrt sin) (* cos x)) (* (* x cos) sin) (expm1 (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin)))) (log1p (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin)))) (log (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin)))) (log (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin)))) (log (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin)))) (log (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin)))) (log (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin)))) (log (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin)))) (log (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin)))) (log (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin)))) (log (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin)))) (log (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin)))) (log (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin)))) (exp (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin)))) (* (* (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin))) (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin)))) (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin)))) (* (* (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin))) (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin)))) (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin)))) (* (* (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin))) (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin)))) (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin)))) (* (* (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin))) (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin)))) (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin)))) (* (* (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin))) (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin)))) (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin)))) (* (* (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin))) (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin)))) (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin)))) (* (* (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin))) (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin)))) (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin)))) (* (* (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin))) (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin)))) (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin)))) (* (* (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin))) (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin)))) (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin)))) (* (* (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin))) (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin)))) (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin)))) (* (cbrt (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin)))) (cbrt (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin))))) (cbrt (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin)))) (* (* (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin))) (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin)))) (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin)))) (sqrt (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin)))) (sqrt (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin)))) (- (cos (* 2 x))) (* (- (* (* x cos) sin)) (* (* x cos) sin)) (* (/ (cos x) (* (* x cos) sin)) (/ (cos x) (* (* x cos) sin))) (* (/ (sin x) (* (* x cos) sin)) (/ (sin x) (* (* x cos) sin))) (* (/ (cbrt (cos (* 2 x))) (* (* x cos) sin)) (cbrt (cos (* 2 x)))) (/ (cbrt (cos (* 2 x))) (* (* x cos) sin)) (/ (sqrt (cos (* 2 x))) (* (* x cos) sin)) (/ (sqrt (cos (* 2 x))) (* (* x cos) sin)) (/ 1 (* (* x cos) sin)) (/ (cos (* 2 x)) (* (* x cos) sin)) (/ 1 (* (* (* x cos) sin) (* (* x cos) sin))) (/ (* (* (* x cos) sin) (* (* x cos) sin)) (cos (* 2 x))) (/ (cos (* 2 x)) (* (* x cos) sin)) (/ (* (* x cos) sin) (/ (cbrt (cos (* 2 x))) (* (* x cos) sin))) (/ (* (* x cos) sin) (/ (sqrt (cos (* 2 x))) (* (* x cos) sin))) (/ (* (* (* x cos) sin) (* (* x cos) sin)) (cos (* 2 x))) (expm1 (* (* (* x cos) sin) (* (* x cos) sin))) (log1p (* (* (* x cos) sin) (* (* x cos) sin))) 2 2 2 2 2 2 2 2 2 (* (* (* x cos) sin) (* (* x cos) sin)) (* (* (* x cos) sin) (* (* x cos) sin)) (* (* (* x cos) sin) (* (* x cos) sin)) (* (* (* x cos) sin) (* (* x cos) sin)) (* (* (* x cos) sin) (* (* x cos) sin)) (* (* (* x cos) sin) (* (* x cos) sin)) (* (* (* x cos) sin) (* (* x cos) sin)) (* (* (* x cos) sin) (* (* x cos) sin)) (* (* (* x cos) sin) (* (* x cos) sin)) 2 2 2 (log (* (* (* x cos) sin) (* (* x cos) sin))) (log (* (* (* x cos) sin) (* (* x cos) sin))) (log (* (* (* x cos) sin) (* (* x cos) sin))) (log (* (* (* x cos) sin) (* (* x cos) sin))) (log (* (* (* x cos) sin) (* (* x cos) sin))) (log (* (* (* x cos) sin) (* (* x cos) sin))) (log (* (* (* x cos) sin) (* (* x cos) sin))) (log (* (* (* x cos) sin) (* (* x cos) sin))) (log (* (* (* x cos) sin) (* (* x cos) sin))) (log (* (* (* x cos) sin) (* (* x cos) sin))) (exp (* (* (* x cos) sin) (* (* x cos) sin))) (* (* (* (* (* x cos) sin) (* (* x cos) sin)) (* (* (* x cos) sin) (* (* x cos) sin))) (* (* (* x cos) sin) (* (* x cos) sin))) (* (* (* (* (* x cos) sin) (* (* x cos) sin)) (* (* (* x cos) sin) (* (* x cos) sin))) (* (* (* x cos) sin) (* (* x cos) sin))) (* (* (* (* (* x cos) sin) (* (* x cos) sin)) (* (* (* x cos) sin) (* (* x cos) sin))) (* (* (* x cos) sin) (* (* x cos) sin))) (* (* (* (* (* x cos) sin) (* (* x cos) sin)) (* (* (* x cos) sin) (* (* x cos) sin))) (* (* (* x cos) sin) (* (* x cos) sin))) (* (* (* (* (* x cos) sin) (* (* x cos) sin)) (* (* (* x cos) sin) (* (* x cos) sin))) (* (* (* x cos) sin) (* (* x cos) sin))) (* (* (* (* (* x cos) sin) (* (* x cos) sin)) (* (* (* x cos) sin) (* (* x cos) sin))) (* (* (* x cos) sin) (* (* x cos) sin))) (* (* (* (* (* x cos) sin) (* (* x cos) sin)) (* (* (* x cos) sin) (* (* x cos) sin))) (* (* (* x cos) sin) (* (* x cos) sin))) (* (* (* (* (* x cos) sin) (* (* x cos) sin)) (* (* (* x cos) sin) (* (* x cos) sin))) (* (* (* x cos) sin) (* (* x cos) sin))) (* (* (* (* (* x cos) sin) (* (* x cos) sin)) (* (* (* x cos) sin) (* (* x cos) sin))) (* (* (* x cos) sin) (* (* x cos) sin))) (* (cbrt (* (* (* x cos) sin) (* (* x cos) sin))) (cbrt (* (* (* x cos) sin) (* (* x cos) sin)))) (cbrt (* (* (* x cos) sin) (* (* x cos) sin))) (* (* (* (* (* x cos) sin) (* (* x cos) sin)) (* (* (* x cos) sin) (* (* x cos) sin))) (* (* (* x cos) sin) (* (* x cos) sin))) (fabs (* (* x cos) sin)) (fabs (* (* x cos) sin)) (* sin sin) (* (* x cos) (* x cos)) 2 2 2 2 2 2 2 2 2 (* (* sin sin) (* x cos)) (* (* x cos) (* sin (* x cos))) 0 (* (* x cos) sin) (* (* x cos) sin) 0 (* (* x cos) sin) (* (* x cos) sin) (+ (/ -2 (* (* sin cos) (* sin cos))) (fma (/ (* x x) (* (* sin cos) (* sin cos))) 2/3 (/ 1 (* (* (* x cos) sin) (* (* x cos) sin))))) (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin))) (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin))) (* (* (* x cos) sin) (* (* x cos) sin)) (* (* (* x cos) sin) (* (* x cos) sin)) (* (* (* x cos) sin) (* (* x cos) sin)) 14.343 * * * [progress]: adding candidates to table 15.719 * * [progress]: iteration 3 / 4 15.719 * * * [progress]: picking best candidate 15.743 * * * * [pick]: Picked # 15.743 * * * [progress]: localizing error 15.768 * * * [progress]: generating rewritten candidates 15.768 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2) 15.780 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 15.792 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 15.936 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 16.003 * * * [progress]: generating series expansions 16.003 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2) 16.003 * [backup-simplify]: Simplify (* sin (* cos x)) into (* x (* sin cos)) 16.003 * [approximate]: Taking taylor expansion of (* x (* sin cos)) in (sin cos x) around 0 16.003 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in x 16.003 * [taylor]: Taking taylor expansion of x in x 16.003 * [backup-simplify]: Simplify 0 into 0 16.003 * [backup-simplify]: Simplify 1 into 1 16.003 * [taylor]: Taking taylor expansion of (* sin cos) in x 16.003 * [taylor]: Taking taylor expansion of sin in x 16.003 * [backup-simplify]: Simplify sin into sin 16.003 * [taylor]: Taking taylor expansion of cos in x 16.003 * [backup-simplify]: Simplify cos into cos 16.003 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in cos 16.003 * [taylor]: Taking taylor expansion of x in cos 16.003 * [backup-simplify]: Simplify x into x 16.003 * [taylor]: Taking taylor expansion of (* sin cos) in cos 16.003 * [taylor]: Taking taylor expansion of sin in cos 16.004 * [backup-simplify]: Simplify sin into sin 16.004 * [taylor]: Taking taylor expansion of cos in cos 16.004 * [backup-simplify]: Simplify 0 into 0 16.004 * [backup-simplify]: Simplify 1 into 1 16.004 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in sin 16.004 * [taylor]: Taking taylor expansion of x in sin 16.004 * [backup-simplify]: Simplify x into x 16.004 * [taylor]: Taking taylor expansion of (* sin cos) in sin 16.004 * [taylor]: Taking taylor expansion of sin in sin 16.004 * [backup-simplify]: Simplify 0 into 0 16.004 * [backup-simplify]: Simplify 1 into 1 16.004 * [taylor]: Taking taylor expansion of cos in sin 16.004 * [backup-simplify]: Simplify cos into cos 16.004 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in sin 16.004 * [taylor]: Taking taylor expansion of x in sin 16.004 * [backup-simplify]: Simplify x into x 16.004 * [taylor]: Taking taylor expansion of (* sin cos) in sin 16.004 * [taylor]: Taking taylor expansion of sin in sin 16.004 * [backup-simplify]: Simplify 0 into 0 16.004 * [backup-simplify]: Simplify 1 into 1 16.004 * [taylor]: Taking taylor expansion of cos in sin 16.004 * [backup-simplify]: Simplify cos into cos 16.004 * [backup-simplify]: Simplify (* 0 cos) into 0 16.004 * [backup-simplify]: Simplify (* x 0) into 0 16.004 * [taylor]: Taking taylor expansion of 0 in cos 16.004 * [backup-simplify]: Simplify 0 into 0 16.004 * [taylor]: Taking taylor expansion of 0 in x 16.004 * [backup-simplify]: Simplify 0 into 0 16.004 * [backup-simplify]: Simplify 0 into 0 16.005 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 cos)) into cos 16.006 * [backup-simplify]: Simplify (+ (* x cos) (* 0 0)) into (* x cos) 16.006 * [taylor]: Taking taylor expansion of (* x cos) in cos 16.006 * [taylor]: Taking taylor expansion of x in cos 16.006 * [backup-simplify]: Simplify x into x 16.006 * [taylor]: Taking taylor expansion of cos in cos 16.006 * [backup-simplify]: Simplify 0 into 0 16.006 * [backup-simplify]: Simplify 1 into 1 16.006 * [backup-simplify]: Simplify (* x 0) into 0 16.006 * [taylor]: Taking taylor expansion of 0 in x 16.006 * [backup-simplify]: Simplify 0 into 0 16.006 * [backup-simplify]: Simplify 0 into 0 16.006 * [taylor]: Taking taylor expansion of 0 in x 16.006 * [backup-simplify]: Simplify 0 into 0 16.006 * [backup-simplify]: Simplify 0 into 0 16.006 * [backup-simplify]: Simplify 0 into 0 16.007 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 16.008 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 cos) (* 0 0))) into 0 16.008 * [taylor]: Taking taylor expansion of 0 in cos 16.008 * [backup-simplify]: Simplify 0 into 0 16.008 * [taylor]: Taking taylor expansion of 0 in x 16.008 * [backup-simplify]: Simplify 0 into 0 16.008 * [backup-simplify]: Simplify 0 into 0 16.008 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 16.008 * [taylor]: Taking taylor expansion of x in x 16.008 * [backup-simplify]: Simplify 0 into 0 16.008 * [backup-simplify]: Simplify 1 into 1 16.008 * [backup-simplify]: Simplify 0 into 0 16.008 * [backup-simplify]: Simplify 0 into 0 16.008 * [backup-simplify]: Simplify (* (/ 1 sin) (* (/ 1 cos) (/ 1 x))) into (/ 1 (* x (* sin cos))) 16.008 * [approximate]: Taking taylor expansion of (/ 1 (* x (* sin cos))) in (sin cos x) around 0 16.008 * [taylor]: Taking taylor expansion of (/ 1 (* x (* sin cos))) in x 16.009 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in x 16.009 * [taylor]: Taking taylor expansion of x in x 16.009 * [backup-simplify]: Simplify 0 into 0 16.009 * [backup-simplify]: Simplify 1 into 1 16.009 * [taylor]: Taking taylor expansion of (* sin cos) in x 16.009 * [taylor]: Taking taylor expansion of sin in x 16.009 * [backup-simplify]: Simplify sin into sin 16.009 * [taylor]: Taking taylor expansion of cos in x 16.009 * [backup-simplify]: Simplify cos into cos 16.009 * [backup-simplify]: Simplify (* sin cos) into (* sin cos) 16.009 * [backup-simplify]: Simplify (* 0 (* sin cos)) into 0 16.009 * [backup-simplify]: Simplify (+ (* sin 0) (* 0 cos)) into 0 16.009 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* sin cos))) into (* sin cos) 16.009 * [backup-simplify]: Simplify (/ 1 (* sin cos)) into (/ 1 (* sin cos)) 16.010 * [taylor]: Taking taylor expansion of (/ 1 (* x (* sin cos))) in cos 16.010 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in cos 16.010 * [taylor]: Taking taylor expansion of x in cos 16.010 * [backup-simplify]: Simplify x into x 16.010 * [taylor]: Taking taylor expansion of (* sin cos) in cos 16.010 * [taylor]: Taking taylor expansion of sin in cos 16.010 * [backup-simplify]: Simplify sin into sin 16.010 * [taylor]: Taking taylor expansion of cos in cos 16.010 * [backup-simplify]: Simplify 0 into 0 16.010 * [backup-simplify]: Simplify 1 into 1 16.010 * [backup-simplify]: Simplify (* sin 0) into 0 16.010 * [backup-simplify]: Simplify (* x 0) into 0 16.010 * [backup-simplify]: Simplify (+ (* sin 1) (* 0 0)) into sin 16.011 * [backup-simplify]: Simplify (+ (* x sin) (* 0 0)) into (* x sin) 16.011 * [backup-simplify]: Simplify (/ 1 (* x sin)) into (/ 1 (* x sin)) 16.011 * [taylor]: Taking taylor expansion of (/ 1 (* x (* sin cos))) in sin 16.011 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in sin 16.011 * [taylor]: Taking taylor expansion of x in sin 16.011 * [backup-simplify]: Simplify x into x 16.011 * [taylor]: Taking taylor expansion of (* sin cos) in sin 16.011 * [taylor]: Taking taylor expansion of sin in sin 16.011 * [backup-simplify]: Simplify 0 into 0 16.011 * [backup-simplify]: Simplify 1 into 1 16.011 * [taylor]: Taking taylor expansion of cos in sin 16.011 * [backup-simplify]: Simplify cos into cos 16.011 * [backup-simplify]: Simplify (* 0 cos) into 0 16.011 * [backup-simplify]: Simplify (* x 0) into 0 16.011 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 cos)) into cos 16.012 * [backup-simplify]: Simplify (+ (* x cos) (* 0 0)) into (* x cos) 16.012 * [backup-simplify]: Simplify (/ 1 (* x cos)) into (/ 1 (* x cos)) 16.012 * [taylor]: Taking taylor expansion of (/ 1 (* x (* sin cos))) in sin 16.012 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in sin 16.012 * [taylor]: Taking taylor expansion of x in sin 16.012 * [backup-simplify]: Simplify x into x 16.012 * [taylor]: Taking taylor expansion of (* sin cos) in sin 16.012 * [taylor]: Taking taylor expansion of sin in sin 16.012 * [backup-simplify]: Simplify 0 into 0 16.012 * [backup-simplify]: Simplify 1 into 1 16.012 * [taylor]: Taking taylor expansion of cos in sin 16.012 * [backup-simplify]: Simplify cos into cos 16.012 * [backup-simplify]: Simplify (* 0 cos) into 0 16.012 * [backup-simplify]: Simplify (* x 0) into 0 16.013 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 cos)) into cos 16.013 * [backup-simplify]: Simplify (+ (* x cos) (* 0 0)) into (* x cos) 16.013 * [backup-simplify]: Simplify (/ 1 (* x cos)) into (/ 1 (* x cos)) 16.013 * [taylor]: Taking taylor expansion of (/ 1 (* x cos)) in cos 16.013 * [taylor]: Taking taylor expansion of (* x cos) in cos 16.013 * [taylor]: Taking taylor expansion of x in cos 16.013 * [backup-simplify]: Simplify x into x 16.013 * [taylor]: Taking taylor expansion of cos in cos 16.014 * [backup-simplify]: Simplify 0 into 0 16.014 * [backup-simplify]: Simplify 1 into 1 16.014 * [backup-simplify]: Simplify (* x 0) into 0 16.014 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 16.014 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 16.014 * [taylor]: Taking taylor expansion of (/ 1 x) in x 16.014 * [taylor]: Taking taylor expansion of x in x 16.014 * [backup-simplify]: Simplify 0 into 0 16.014 * [backup-simplify]: Simplify 1 into 1 16.015 * [backup-simplify]: Simplify (/ 1 1) into 1 16.015 * [backup-simplify]: Simplify 1 into 1 16.016 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 16.016 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 cos) (* 0 0))) into 0 16.016 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* x cos)) (/ 0 (* x cos))))) into 0 16.016 * [taylor]: Taking taylor expansion of 0 in cos 16.016 * [backup-simplify]: Simplify 0 into 0 16.017 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 16.017 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 16.017 * [taylor]: Taking taylor expansion of 0 in x 16.017 * [backup-simplify]: Simplify 0 into 0 16.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.018 * [backup-simplify]: Simplify 0 into 0 16.019 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 cos)))) into 0 16.020 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 cos) (* 0 0)))) into 0 16.020 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* x cos)) (/ 0 (* x cos))) (* 0 (/ 0 (* x cos))))) into 0 16.020 * [taylor]: Taking taylor expansion of 0 in cos 16.020 * [backup-simplify]: Simplify 0 into 0 16.020 * [taylor]: Taking taylor expansion of 0 in x 16.020 * [backup-simplify]: Simplify 0 into 0 16.021 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 16.021 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 16.021 * [taylor]: Taking taylor expansion of 0 in x 16.021 * [backup-simplify]: Simplify 0 into 0 16.021 * [backup-simplify]: Simplify 0 into 0 16.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.022 * [backup-simplify]: Simplify 0 into 0 16.024 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))) into 0 16.025 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 cos) (* 0 0))))) into 0 16.025 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* x cos)) (/ 0 (* x cos))) (* 0 (/ 0 (* x cos))) (* 0 (/ 0 (* x cos))))) into 0 16.025 * [taylor]: Taking taylor expansion of 0 in cos 16.025 * [backup-simplify]: Simplify 0 into 0 16.025 * [taylor]: Taking taylor expansion of 0 in x 16.025 * [backup-simplify]: Simplify 0 into 0 16.025 * [taylor]: Taking taylor expansion of 0 in x 16.025 * [backup-simplify]: Simplify 0 into 0 16.026 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 16.027 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 16.027 * [taylor]: Taking taylor expansion of 0 in x 16.027 * [backup-simplify]: Simplify 0 into 0 16.027 * [backup-simplify]: Simplify 0 into 0 16.027 * [backup-simplify]: Simplify 0 into 0 16.027 * [backup-simplify]: Simplify 0 into 0 16.027 * [backup-simplify]: Simplify (* 1 (* (/ 1 (/ 1 x)) (* (/ 1 (/ 1 cos)) (/ 1 (/ 1 sin))))) into (* x (* cos sin)) 16.027 * [backup-simplify]: Simplify (* (/ 1 (- sin)) (* (/ 1 (- cos)) (/ 1 (- x)))) into (/ -1 (* x (* sin cos))) 16.027 * [approximate]: Taking taylor expansion of (/ -1 (* x (* sin cos))) in (sin cos x) around 0 16.027 * [taylor]: Taking taylor expansion of (/ -1 (* x (* sin cos))) in x 16.027 * [taylor]: Taking taylor expansion of -1 in x 16.027 * [backup-simplify]: Simplify -1 into -1 16.027 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in x 16.027 * [taylor]: Taking taylor expansion of x in x 16.027 * [backup-simplify]: Simplify 0 into 0 16.028 * [backup-simplify]: Simplify 1 into 1 16.028 * [taylor]: Taking taylor expansion of (* sin cos) in x 16.028 * [taylor]: Taking taylor expansion of sin in x 16.028 * [backup-simplify]: Simplify sin into sin 16.028 * [taylor]: Taking taylor expansion of cos in x 16.028 * [backup-simplify]: Simplify cos into cos 16.028 * [backup-simplify]: Simplify (* sin cos) into (* sin cos) 16.028 * [backup-simplify]: Simplify (* 0 (* sin cos)) into 0 16.028 * [backup-simplify]: Simplify (+ (* sin 0) (* 0 cos)) into 0 16.029 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* sin cos))) into (* sin cos) 16.029 * [backup-simplify]: Simplify (/ -1 (* sin cos)) into (/ -1 (* sin cos)) 16.029 * [taylor]: Taking taylor expansion of (/ -1 (* x (* sin cos))) in cos 16.029 * [taylor]: Taking taylor expansion of -1 in cos 16.029 * [backup-simplify]: Simplify -1 into -1 16.029 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in cos 16.029 * [taylor]: Taking taylor expansion of x in cos 16.029 * [backup-simplify]: Simplify x into x 16.029 * [taylor]: Taking taylor expansion of (* sin cos) in cos 16.029 * [taylor]: Taking taylor expansion of sin in cos 16.029 * [backup-simplify]: Simplify sin into sin 16.029 * [taylor]: Taking taylor expansion of cos in cos 16.029 * [backup-simplify]: Simplify 0 into 0 16.029 * [backup-simplify]: Simplify 1 into 1 16.029 * [backup-simplify]: Simplify (* sin 0) into 0 16.029 * [backup-simplify]: Simplify (* x 0) into 0 16.030 * [backup-simplify]: Simplify (+ (* sin 1) (* 0 0)) into sin 16.030 * [backup-simplify]: Simplify (+ (* x sin) (* 0 0)) into (* x sin) 16.030 * [backup-simplify]: Simplify (/ -1 (* x sin)) into (/ -1 (* x sin)) 16.030 * [taylor]: Taking taylor expansion of (/ -1 (* x (* sin cos))) in sin 16.030 * [taylor]: Taking taylor expansion of -1 in sin 16.030 * [backup-simplify]: Simplify -1 into -1 16.030 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in sin 16.030 * [taylor]: Taking taylor expansion of x in sin 16.030 * [backup-simplify]: Simplify x into x 16.030 * [taylor]: Taking taylor expansion of (* sin cos) in sin 16.030 * [taylor]: Taking taylor expansion of sin in sin 16.030 * [backup-simplify]: Simplify 0 into 0 16.030 * [backup-simplify]: Simplify 1 into 1 16.030 * [taylor]: Taking taylor expansion of cos in sin 16.030 * [backup-simplify]: Simplify cos into cos 16.030 * [backup-simplify]: Simplify (* 0 cos) into 0 16.031 * [backup-simplify]: Simplify (* x 0) into 0 16.031 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 cos)) into cos 16.031 * [backup-simplify]: Simplify (+ (* x cos) (* 0 0)) into (* x cos) 16.031 * [backup-simplify]: Simplify (/ -1 (* x cos)) into (/ -1 (* x cos)) 16.031 * [taylor]: Taking taylor expansion of (/ -1 (* x (* sin cos))) in sin 16.031 * [taylor]: Taking taylor expansion of -1 in sin 16.031 * [backup-simplify]: Simplify -1 into -1 16.032 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in sin 16.032 * [taylor]: Taking taylor expansion of x in sin 16.032 * [backup-simplify]: Simplify x into x 16.032 * [taylor]: Taking taylor expansion of (* sin cos) in sin 16.032 * [taylor]: Taking taylor expansion of sin in sin 16.032 * [backup-simplify]: Simplify 0 into 0 16.032 * [backup-simplify]: Simplify 1 into 1 16.032 * [taylor]: Taking taylor expansion of cos in sin 16.032 * [backup-simplify]: Simplify cos into cos 16.032 * [backup-simplify]: Simplify (* 0 cos) into 0 16.032 * [backup-simplify]: Simplify (* x 0) into 0 16.032 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 cos)) into cos 16.033 * [backup-simplify]: Simplify (+ (* x cos) (* 0 0)) into (* x cos) 16.033 * [backup-simplify]: Simplify (/ -1 (* x cos)) into (/ -1 (* x cos)) 16.033 * [taylor]: Taking taylor expansion of (/ -1 (* x cos)) in cos 16.033 * [taylor]: Taking taylor expansion of -1 in cos 16.033 * [backup-simplify]: Simplify -1 into -1 16.033 * [taylor]: Taking taylor expansion of (* x cos) in cos 16.033 * [taylor]: Taking taylor expansion of x in cos 16.033 * [backup-simplify]: Simplify x into x 16.033 * [taylor]: Taking taylor expansion of cos in cos 16.033 * [backup-simplify]: Simplify 0 into 0 16.033 * [backup-simplify]: Simplify 1 into 1 16.033 * [backup-simplify]: Simplify (* x 0) into 0 16.033 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 16.033 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 16.034 * [taylor]: Taking taylor expansion of (/ -1 x) in x 16.034 * [taylor]: Taking taylor expansion of -1 in x 16.034 * [backup-simplify]: Simplify -1 into -1 16.034 * [taylor]: Taking taylor expansion of x in x 16.034 * [backup-simplify]: Simplify 0 into 0 16.034 * [backup-simplify]: Simplify 1 into 1 16.034 * [backup-simplify]: Simplify (/ -1 1) into -1 16.034 * [backup-simplify]: Simplify -1 into -1 16.035 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 16.035 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 cos) (* 0 0))) into 0 16.035 * [backup-simplify]: Simplify (- (/ 0 (* x cos)) (+ (* (/ -1 (* x cos)) (/ 0 (* x cos))))) into 0 16.036 * [taylor]: Taking taylor expansion of 0 in cos 16.036 * [backup-simplify]: Simplify 0 into 0 16.036 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 16.036 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 16.036 * [taylor]: Taking taylor expansion of 0 in x 16.036 * [backup-simplify]: Simplify 0 into 0 16.037 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.037 * [backup-simplify]: Simplify 0 into 0 16.038 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 cos)))) into 0 16.039 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 cos) (* 0 0)))) into 0 16.039 * [backup-simplify]: Simplify (- (/ 0 (* x cos)) (+ (* (/ -1 (* x cos)) (/ 0 (* x cos))) (* 0 (/ 0 (* x cos))))) into 0 16.039 * [taylor]: Taking taylor expansion of 0 in cos 16.040 * [backup-simplify]: Simplify 0 into 0 16.040 * [taylor]: Taking taylor expansion of 0 in x 16.040 * [backup-simplify]: Simplify 0 into 0 16.040 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 16.041 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 16.041 * [taylor]: Taking taylor expansion of 0 in x 16.041 * [backup-simplify]: Simplify 0 into 0 16.041 * [backup-simplify]: Simplify 0 into 0 16.042 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.042 * [backup-simplify]: Simplify 0 into 0 16.043 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))) into 0 16.044 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 cos) (* 0 0))))) into 0 16.045 * [backup-simplify]: Simplify (- (/ 0 (* x cos)) (+ (* (/ -1 (* x cos)) (/ 0 (* x cos))) (* 0 (/ 0 (* x cos))) (* 0 (/ 0 (* x cos))))) into 0 16.045 * [taylor]: Taking taylor expansion of 0 in cos 16.045 * [backup-simplify]: Simplify 0 into 0 16.045 * [taylor]: Taking taylor expansion of 0 in x 16.045 * [backup-simplify]: Simplify 0 into 0 16.045 * [taylor]: Taking taylor expansion of 0 in x 16.045 * [backup-simplify]: Simplify 0 into 0 16.046 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 16.046 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 16.046 * [taylor]: Taking taylor expansion of 0 in x 16.046 * [backup-simplify]: Simplify 0 into 0 16.046 * [backup-simplify]: Simplify 0 into 0 16.046 * [backup-simplify]: Simplify 0 into 0 16.046 * [backup-simplify]: Simplify 0 into 0 16.047 * [backup-simplify]: Simplify (* -1 (* (/ 1 (/ 1 (- x))) (* (/ 1 (/ 1 (- cos))) (/ 1 (/ 1 (- sin)))))) into (* x (* cos sin)) 16.047 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 16.047 * [backup-simplify]: Simplify (* sin (* cos x)) into (* x (* sin cos)) 16.047 * [approximate]: Taking taylor expansion of (* x (* sin cos)) in (sin cos x) around 0 16.047 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in x 16.047 * [taylor]: Taking taylor expansion of x in x 16.047 * [backup-simplify]: Simplify 0 into 0 16.047 * [backup-simplify]: Simplify 1 into 1 16.047 * [taylor]: Taking taylor expansion of (* sin cos) in x 16.047 * [taylor]: Taking taylor expansion of sin in x 16.047 * [backup-simplify]: Simplify sin into sin 16.047 * [taylor]: Taking taylor expansion of cos in x 16.047 * [backup-simplify]: Simplify cos into cos 16.047 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in cos 16.047 * [taylor]: Taking taylor expansion of x in cos 16.047 * [backup-simplify]: Simplify x into x 16.047 * [taylor]: Taking taylor expansion of (* sin cos) in cos 16.047 * [taylor]: Taking taylor expansion of sin in cos 16.047 * [backup-simplify]: Simplify sin into sin 16.047 * [taylor]: Taking taylor expansion of cos in cos 16.047 * [backup-simplify]: Simplify 0 into 0 16.047 * [backup-simplify]: Simplify 1 into 1 16.047 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in sin 16.047 * [taylor]: Taking taylor expansion of x in sin 16.047 * [backup-simplify]: Simplify x into x 16.047 * [taylor]: Taking taylor expansion of (* sin cos) in sin 16.047 * [taylor]: Taking taylor expansion of sin in sin 16.047 * [backup-simplify]: Simplify 0 into 0 16.047 * [backup-simplify]: Simplify 1 into 1 16.047 * [taylor]: Taking taylor expansion of cos in sin 16.047 * [backup-simplify]: Simplify cos into cos 16.047 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in sin 16.047 * [taylor]: Taking taylor expansion of x in sin 16.048 * [backup-simplify]: Simplify x into x 16.048 * [taylor]: Taking taylor expansion of (* sin cos) in sin 16.048 * [taylor]: Taking taylor expansion of sin in sin 16.048 * [backup-simplify]: Simplify 0 into 0 16.048 * [backup-simplify]: Simplify 1 into 1 16.048 * [taylor]: Taking taylor expansion of cos in sin 16.048 * [backup-simplify]: Simplify cos into cos 16.048 * [backup-simplify]: Simplify (* 0 cos) into 0 16.048 * [backup-simplify]: Simplify (* x 0) into 0 16.048 * [taylor]: Taking taylor expansion of 0 in cos 16.048 * [backup-simplify]: Simplify 0 into 0 16.048 * [taylor]: Taking taylor expansion of 0 in x 16.048 * [backup-simplify]: Simplify 0 into 0 16.048 * [backup-simplify]: Simplify 0 into 0 16.048 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 cos)) into cos 16.049 * [backup-simplify]: Simplify (+ (* x cos) (* 0 0)) into (* x cos) 16.049 * [taylor]: Taking taylor expansion of (* x cos) in cos 16.049 * [taylor]: Taking taylor expansion of x in cos 16.049 * [backup-simplify]: Simplify x into x 16.049 * [taylor]: Taking taylor expansion of cos in cos 16.049 * [backup-simplify]: Simplify 0 into 0 16.049 * [backup-simplify]: Simplify 1 into 1 16.049 * [backup-simplify]: Simplify (* x 0) into 0 16.049 * [taylor]: Taking taylor expansion of 0 in x 16.049 * [backup-simplify]: Simplify 0 into 0 16.049 * [backup-simplify]: Simplify 0 into 0 16.049 * [taylor]: Taking taylor expansion of 0 in x 16.049 * [backup-simplify]: Simplify 0 into 0 16.049 * [backup-simplify]: Simplify 0 into 0 16.049 * [backup-simplify]: Simplify 0 into 0 16.050 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 16.050 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 cos) (* 0 0))) into 0 16.051 * [taylor]: Taking taylor expansion of 0 in cos 16.051 * [backup-simplify]: Simplify 0 into 0 16.051 * [taylor]: Taking taylor expansion of 0 in x 16.051 * [backup-simplify]: Simplify 0 into 0 16.051 * [backup-simplify]: Simplify 0 into 0 16.051 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 16.051 * [taylor]: Taking taylor expansion of x in x 16.051 * [backup-simplify]: Simplify 0 into 0 16.051 * [backup-simplify]: Simplify 1 into 1 16.051 * [backup-simplify]: Simplify 0 into 0 16.051 * [backup-simplify]: Simplify 0 into 0 16.051 * [backup-simplify]: Simplify (* (/ 1 sin) (* (/ 1 cos) (/ 1 x))) into (/ 1 (* x (* sin cos))) 16.051 * [approximate]: Taking taylor expansion of (/ 1 (* x (* sin cos))) in (sin cos x) around 0 16.051 * [taylor]: Taking taylor expansion of (/ 1 (* x (* sin cos))) in x 16.051 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in x 16.051 * [taylor]: Taking taylor expansion of x in x 16.052 * [backup-simplify]: Simplify 0 into 0 16.052 * [backup-simplify]: Simplify 1 into 1 16.052 * [taylor]: Taking taylor expansion of (* sin cos) in x 16.052 * [taylor]: Taking taylor expansion of sin in x 16.052 * [backup-simplify]: Simplify sin into sin 16.052 * [taylor]: Taking taylor expansion of cos in x 16.052 * [backup-simplify]: Simplify cos into cos 16.052 * [backup-simplify]: Simplify (* sin cos) into (* sin cos) 16.052 * [backup-simplify]: Simplify (* 0 (* sin cos)) into 0 16.052 * [backup-simplify]: Simplify (+ (* sin 0) (* 0 cos)) into 0 16.052 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* sin cos))) into (* sin cos) 16.052 * [backup-simplify]: Simplify (/ 1 (* sin cos)) into (/ 1 (* sin cos)) 16.052 * [taylor]: Taking taylor expansion of (/ 1 (* x (* sin cos))) in cos 16.052 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in cos 16.052 * [taylor]: Taking taylor expansion of x in cos 16.052 * [backup-simplify]: Simplify x into x 16.053 * [taylor]: Taking taylor expansion of (* sin cos) in cos 16.053 * [taylor]: Taking taylor expansion of sin in cos 16.053 * [backup-simplify]: Simplify sin into sin 16.053 * [taylor]: Taking taylor expansion of cos in cos 16.053 * [backup-simplify]: Simplify 0 into 0 16.053 * [backup-simplify]: Simplify 1 into 1 16.053 * [backup-simplify]: Simplify (* sin 0) into 0 16.053 * [backup-simplify]: Simplify (* x 0) into 0 16.053 * [backup-simplify]: Simplify (+ (* sin 1) (* 0 0)) into sin 16.054 * [backup-simplify]: Simplify (+ (* x sin) (* 0 0)) into (* x sin) 16.054 * [backup-simplify]: Simplify (/ 1 (* x sin)) into (/ 1 (* x sin)) 16.054 * [taylor]: Taking taylor expansion of (/ 1 (* x (* sin cos))) in sin 16.054 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in sin 16.054 * [taylor]: Taking taylor expansion of x in sin 16.054 * [backup-simplify]: Simplify x into x 16.054 * [taylor]: Taking taylor expansion of (* sin cos) in sin 16.054 * [taylor]: Taking taylor expansion of sin in sin 16.054 * [backup-simplify]: Simplify 0 into 0 16.054 * [backup-simplify]: Simplify 1 into 1 16.054 * [taylor]: Taking taylor expansion of cos in sin 16.054 * [backup-simplify]: Simplify cos into cos 16.054 * [backup-simplify]: Simplify (* 0 cos) into 0 16.054 * [backup-simplify]: Simplify (* x 0) into 0 16.054 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 cos)) into cos 16.055 * [backup-simplify]: Simplify (+ (* x cos) (* 0 0)) into (* x cos) 16.055 * [backup-simplify]: Simplify (/ 1 (* x cos)) into (/ 1 (* x cos)) 16.055 * [taylor]: Taking taylor expansion of (/ 1 (* x (* sin cos))) in sin 16.055 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in sin 16.055 * [taylor]: Taking taylor expansion of x in sin 16.055 * [backup-simplify]: Simplify x into x 16.055 * [taylor]: Taking taylor expansion of (* sin cos) in sin 16.055 * [taylor]: Taking taylor expansion of sin in sin 16.055 * [backup-simplify]: Simplify 0 into 0 16.055 * [backup-simplify]: Simplify 1 into 1 16.055 * [taylor]: Taking taylor expansion of cos in sin 16.055 * [backup-simplify]: Simplify cos into cos 16.055 * [backup-simplify]: Simplify (* 0 cos) into 0 16.055 * [backup-simplify]: Simplify (* x 0) into 0 16.056 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 cos)) into cos 16.056 * [backup-simplify]: Simplify (+ (* x cos) (* 0 0)) into (* x cos) 16.056 * [backup-simplify]: Simplify (/ 1 (* x cos)) into (/ 1 (* x cos)) 16.056 * [taylor]: Taking taylor expansion of (/ 1 (* x cos)) in cos 16.056 * [taylor]: Taking taylor expansion of (* x cos) in cos 16.056 * [taylor]: Taking taylor expansion of x in cos 16.056 * [backup-simplify]: Simplify x into x 16.056 * [taylor]: Taking taylor expansion of cos in cos 16.056 * [backup-simplify]: Simplify 0 into 0 16.056 * [backup-simplify]: Simplify 1 into 1 16.056 * [backup-simplify]: Simplify (* x 0) into 0 16.057 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 16.057 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 16.057 * [taylor]: Taking taylor expansion of (/ 1 x) in x 16.057 * [taylor]: Taking taylor expansion of x in x 16.057 * [backup-simplify]: Simplify 0 into 0 16.057 * [backup-simplify]: Simplify 1 into 1 16.057 * [backup-simplify]: Simplify (/ 1 1) into 1 16.057 * [backup-simplify]: Simplify 1 into 1 16.058 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 16.058 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 cos) (* 0 0))) into 0 16.059 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* x cos)) (/ 0 (* x cos))))) into 0 16.059 * [taylor]: Taking taylor expansion of 0 in cos 16.059 * [backup-simplify]: Simplify 0 into 0 16.059 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 16.059 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 16.060 * [taylor]: Taking taylor expansion of 0 in x 16.060 * [backup-simplify]: Simplify 0 into 0 16.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.060 * [backup-simplify]: Simplify 0 into 0 16.061 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 cos)))) into 0 16.062 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 cos) (* 0 0)))) into 0 16.062 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* x cos)) (/ 0 (* x cos))) (* 0 (/ 0 (* x cos))))) into 0 16.062 * [taylor]: Taking taylor expansion of 0 in cos 16.062 * [backup-simplify]: Simplify 0 into 0 16.063 * [taylor]: Taking taylor expansion of 0 in x 16.063 * [backup-simplify]: Simplify 0 into 0 16.063 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 16.063 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 16.064 * [taylor]: Taking taylor expansion of 0 in x 16.064 * [backup-simplify]: Simplify 0 into 0 16.064 * [backup-simplify]: Simplify 0 into 0 16.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.065 * [backup-simplify]: Simplify 0 into 0 16.066 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))) into 0 16.067 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 cos) (* 0 0))))) into 0 16.067 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* x cos)) (/ 0 (* x cos))) (* 0 (/ 0 (* x cos))) (* 0 (/ 0 (* x cos))))) into 0 16.067 * [taylor]: Taking taylor expansion of 0 in cos 16.067 * [backup-simplify]: Simplify 0 into 0 16.068 * [taylor]: Taking taylor expansion of 0 in x 16.068 * [backup-simplify]: Simplify 0 into 0 16.068 * [taylor]: Taking taylor expansion of 0 in x 16.068 * [backup-simplify]: Simplify 0 into 0 16.069 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 16.069 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 16.069 * [taylor]: Taking taylor expansion of 0 in x 16.069 * [backup-simplify]: Simplify 0 into 0 16.069 * [backup-simplify]: Simplify 0 into 0 16.069 * [backup-simplify]: Simplify 0 into 0 16.069 * [backup-simplify]: Simplify 0 into 0 16.069 * [backup-simplify]: Simplify (* 1 (* (/ 1 (/ 1 x)) (* (/ 1 (/ 1 cos)) (/ 1 (/ 1 sin))))) into (* x (* cos sin)) 16.069 * [backup-simplify]: Simplify (* (/ 1 (- sin)) (* (/ 1 (- cos)) (/ 1 (- x)))) into (/ -1 (* x (* sin cos))) 16.069 * [approximate]: Taking taylor expansion of (/ -1 (* x (* sin cos))) in (sin cos x) around 0 16.069 * [taylor]: Taking taylor expansion of (/ -1 (* x (* sin cos))) in x 16.069 * [taylor]: Taking taylor expansion of -1 in x 16.069 * [backup-simplify]: Simplify -1 into -1 16.069 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in x 16.069 * [taylor]: Taking taylor expansion of x in x 16.070 * [backup-simplify]: Simplify 0 into 0 16.070 * [backup-simplify]: Simplify 1 into 1 16.070 * [taylor]: Taking taylor expansion of (* sin cos) in x 16.070 * [taylor]: Taking taylor expansion of sin in x 16.070 * [backup-simplify]: Simplify sin into sin 16.070 * [taylor]: Taking taylor expansion of cos in x 16.070 * [backup-simplify]: Simplify cos into cos 16.070 * [backup-simplify]: Simplify (* sin cos) into (* sin cos) 16.070 * [backup-simplify]: Simplify (* 0 (* sin cos)) into 0 16.070 * [backup-simplify]: Simplify (+ (* sin 0) (* 0 cos)) into 0 16.070 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* sin cos))) into (* sin cos) 16.070 * [backup-simplify]: Simplify (/ -1 (* sin cos)) into (/ -1 (* sin cos)) 16.070 * [taylor]: Taking taylor expansion of (/ -1 (* x (* sin cos))) in cos 16.070 * [taylor]: Taking taylor expansion of -1 in cos 16.071 * [backup-simplify]: Simplify -1 into -1 16.071 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in cos 16.071 * [taylor]: Taking taylor expansion of x in cos 16.071 * [backup-simplify]: Simplify x into x 16.071 * [taylor]: Taking taylor expansion of (* sin cos) in cos 16.071 * [taylor]: Taking taylor expansion of sin in cos 16.071 * [backup-simplify]: Simplify sin into sin 16.071 * [taylor]: Taking taylor expansion of cos in cos 16.071 * [backup-simplify]: Simplify 0 into 0 16.071 * [backup-simplify]: Simplify 1 into 1 16.071 * [backup-simplify]: Simplify (* sin 0) into 0 16.071 * [backup-simplify]: Simplify (* x 0) into 0 16.071 * [backup-simplify]: Simplify (+ (* sin 1) (* 0 0)) into sin 16.072 * [backup-simplify]: Simplify (+ (* x sin) (* 0 0)) into (* x sin) 16.072 * [backup-simplify]: Simplify (/ -1 (* x sin)) into (/ -1 (* x sin)) 16.072 * [taylor]: Taking taylor expansion of (/ -1 (* x (* sin cos))) in sin 16.072 * [taylor]: Taking taylor expansion of -1 in sin 16.072 * [backup-simplify]: Simplify -1 into -1 16.072 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in sin 16.072 * [taylor]: Taking taylor expansion of x in sin 16.072 * [backup-simplify]: Simplify x into x 16.072 * [taylor]: Taking taylor expansion of (* sin cos) in sin 16.072 * [taylor]: Taking taylor expansion of sin in sin 16.072 * [backup-simplify]: Simplify 0 into 0 16.072 * [backup-simplify]: Simplify 1 into 1 16.072 * [taylor]: Taking taylor expansion of cos in sin 16.072 * [backup-simplify]: Simplify cos into cos 16.072 * [backup-simplify]: Simplify (* 0 cos) into 0 16.072 * [backup-simplify]: Simplify (* x 0) into 0 16.073 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 cos)) into cos 16.073 * [backup-simplify]: Simplify (+ (* x cos) (* 0 0)) into (* x cos) 16.073 * [backup-simplify]: Simplify (/ -1 (* x cos)) into (/ -1 (* x cos)) 16.073 * [taylor]: Taking taylor expansion of (/ -1 (* x (* sin cos))) in sin 16.073 * [taylor]: Taking taylor expansion of -1 in sin 16.073 * [backup-simplify]: Simplify -1 into -1 16.073 * [taylor]: Taking taylor expansion of (* x (* sin cos)) in sin 16.073 * [taylor]: Taking taylor expansion of x in sin 16.073 * [backup-simplify]: Simplify x into x 16.073 * [taylor]: Taking taylor expansion of (* sin cos) in sin 16.073 * [taylor]: Taking taylor expansion of sin in sin 16.073 * [backup-simplify]: Simplify 0 into 0 16.073 * [backup-simplify]: Simplify 1 into 1 16.073 * [taylor]: Taking taylor expansion of cos in sin 16.073 * [backup-simplify]: Simplify cos into cos 16.073 * [backup-simplify]: Simplify (* 0 cos) into 0 16.073 * [backup-simplify]: Simplify (* x 0) into 0 16.074 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 cos)) into cos 16.074 * [backup-simplify]: Simplify (+ (* x cos) (* 0 0)) into (* x cos) 16.074 * [backup-simplify]: Simplify (/ -1 (* x cos)) into (/ -1 (* x cos)) 16.074 * [taylor]: Taking taylor expansion of (/ -1 (* x cos)) in cos 16.074 * [taylor]: Taking taylor expansion of -1 in cos 16.074 * [backup-simplify]: Simplify -1 into -1 16.074 * [taylor]: Taking taylor expansion of (* x cos) in cos 16.074 * [taylor]: Taking taylor expansion of x in cos 16.075 * [backup-simplify]: Simplify x into x 16.075 * [taylor]: Taking taylor expansion of cos in cos 16.075 * [backup-simplify]: Simplify 0 into 0 16.075 * [backup-simplify]: Simplify 1 into 1 16.075 * [backup-simplify]: Simplify (* x 0) into 0 16.075 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 16.075 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 16.075 * [taylor]: Taking taylor expansion of (/ -1 x) in x 16.075 * [taylor]: Taking taylor expansion of -1 in x 16.075 * [backup-simplify]: Simplify -1 into -1 16.075 * [taylor]: Taking taylor expansion of x in x 16.075 * [backup-simplify]: Simplify 0 into 0 16.075 * [backup-simplify]: Simplify 1 into 1 16.076 * [backup-simplify]: Simplify (/ -1 1) into -1 16.076 * [backup-simplify]: Simplify -1 into -1 16.076 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 16.077 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 cos) (* 0 0))) into 0 16.077 * [backup-simplify]: Simplify (- (/ 0 (* x cos)) (+ (* (/ -1 (* x cos)) (/ 0 (* x cos))))) into 0 16.077 * [taylor]: Taking taylor expansion of 0 in cos 16.077 * [backup-simplify]: Simplify 0 into 0 16.078 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 16.078 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 16.078 * [taylor]: Taking taylor expansion of 0 in x 16.078 * [backup-simplify]: Simplify 0 into 0 16.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.079 * [backup-simplify]: Simplify 0 into 0 16.080 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 cos)))) into 0 16.081 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 cos) (* 0 0)))) into 0 16.081 * [backup-simplify]: Simplify (- (/ 0 (* x cos)) (+ (* (/ -1 (* x cos)) (/ 0 (* x cos))) (* 0 (/ 0 (* x cos))))) into 0 16.081 * [taylor]: Taking taylor expansion of 0 in cos 16.081 * [backup-simplify]: Simplify 0 into 0 16.082 * [taylor]: Taking taylor expansion of 0 in x 16.082 * [backup-simplify]: Simplify 0 into 0 16.082 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 16.083 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 16.083 * [taylor]: Taking taylor expansion of 0 in x 16.083 * [backup-simplify]: Simplify 0 into 0 16.083 * [backup-simplify]: Simplify 0 into 0 16.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.084 * [backup-simplify]: Simplify 0 into 0 16.085 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))) into 0 16.086 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 cos) (* 0 0))))) into 0 16.087 * [backup-simplify]: Simplify (- (/ 0 (* x cos)) (+ (* (/ -1 (* x cos)) (/ 0 (* x cos))) (* 0 (/ 0 (* x cos))) (* 0 (/ 0 (* x cos))))) into 0 16.087 * [taylor]: Taking taylor expansion of 0 in cos 16.087 * [backup-simplify]: Simplify 0 into 0 16.087 * [taylor]: Taking taylor expansion of 0 in x 16.087 * [backup-simplify]: Simplify 0 into 0 16.087 * [taylor]: Taking taylor expansion of 0 in x 16.087 * [backup-simplify]: Simplify 0 into 0 16.088 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 16.088 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 16.088 * [taylor]: Taking taylor expansion of 0 in x 16.088 * [backup-simplify]: Simplify 0 into 0 16.088 * [backup-simplify]: Simplify 0 into 0 16.088 * [backup-simplify]: Simplify 0 into 0 16.088 * [backup-simplify]: Simplify 0 into 0 16.089 * [backup-simplify]: Simplify (* -1 (* (/ 1 (/ 1 (- x))) (* (/ 1 (/ 1 (- cos))) (/ 1 (/ 1 (- sin)))))) into (* x (* cos sin)) 16.089 * * * * [progress]: [ 3 / 4 ] generating series at (2) 16.089 * [backup-simplify]: Simplify (/ 1 (/ (* (* sin (* cos x)) (* sin (* cos x))) (cos (* 2 x)))) into (/ (cos (* 2 x)) (* (pow x 2) (* (pow sin 2) (pow cos 2)))) 16.089 * [approximate]: Taking taylor expansion of (/ (cos (* 2 x)) (* (pow x 2) (* (pow sin 2) (pow cos 2)))) in (sin cos x) around 0 16.089 * [taylor]: Taking taylor expansion of (/ (cos (* 2 x)) (* (pow x 2) (* (pow sin 2) (pow cos 2)))) in x 16.089 * [taylor]: Taking taylor expansion of (cos (* 2 x)) in x 16.089 * [taylor]: Taking taylor expansion of (* 2 x) in x 16.089 * [taylor]: Taking taylor expansion of 2 in x 16.089 * [backup-simplify]: Simplify 2 into 2 16.089 * [taylor]: Taking taylor expansion of x in x 16.089 * [backup-simplify]: Simplify 0 into 0 16.089 * [backup-simplify]: Simplify 1 into 1 16.090 * [backup-simplify]: Simplify (* 2 0) into 0 16.090 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 16.091 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (pow cos 2))) in x 16.091 * [taylor]: Taking taylor expansion of (pow x 2) in x 16.091 * [taylor]: Taking taylor expansion of x in x 16.091 * [backup-simplify]: Simplify 0 into 0 16.091 * [backup-simplify]: Simplify 1 into 1 16.091 * [taylor]: Taking taylor expansion of (* (pow sin 2) (pow cos 2)) in x 16.091 * [taylor]: Taking taylor expansion of (pow sin 2) in x 16.091 * [taylor]: Taking taylor expansion of sin in x 16.091 * [backup-simplify]: Simplify sin into sin 16.091 * [taylor]: Taking taylor expansion of (pow cos 2) in x 16.091 * [taylor]: Taking taylor expansion of cos in x 16.091 * [backup-simplify]: Simplify cos into cos 16.091 * [backup-simplify]: Simplify (* 1 1) into 1 16.091 * [backup-simplify]: Simplify (* sin sin) into (pow sin 2) 16.091 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 16.091 * [backup-simplify]: Simplify (* (pow sin 2) (pow cos 2)) into (* (pow sin 2) (pow cos 2)) 16.092 * [backup-simplify]: Simplify (* 1 (* (pow sin 2) (pow cos 2))) into (* (pow sin 2) (pow cos 2)) 16.092 * [backup-simplify]: Simplify (/ 1 (* (pow sin 2) (pow cos 2))) into (/ 1 (* (pow sin 2) (pow cos 2))) 16.092 * [taylor]: Taking taylor expansion of (/ (cos (* 2 x)) (* (pow x 2) (* (pow sin 2) (pow cos 2)))) in cos 16.092 * [taylor]: Taking taylor expansion of (cos (* 2 x)) in cos 16.092 * [taylor]: Taking taylor expansion of (* 2 x) in cos 16.092 * [taylor]: Taking taylor expansion of 2 in cos 16.092 * [backup-simplify]: Simplify 2 into 2 16.092 * [taylor]: Taking taylor expansion of x in cos 16.092 * [backup-simplify]: Simplify x into x 16.092 * [backup-simplify]: Simplify (* 2 x) into (* 2 x) 16.092 * [backup-simplify]: Simplify (cos (* 2 x)) into (cos (* 2 x)) 16.092 * [backup-simplify]: Simplify (sin (* 2 x)) into (sin (* 2 x)) 16.092 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (pow cos 2))) in cos 16.092 * [taylor]: Taking taylor expansion of (pow x 2) in cos 16.092 * [taylor]: Taking taylor expansion of x in cos 16.092 * [backup-simplify]: Simplify x into x 16.092 * [taylor]: Taking taylor expansion of (* (pow sin 2) (pow cos 2)) in cos 16.092 * [taylor]: Taking taylor expansion of (pow sin 2) in cos 16.092 * [taylor]: Taking taylor expansion of sin in cos 16.092 * [backup-simplify]: Simplify sin into sin 16.092 * [taylor]: Taking taylor expansion of (pow cos 2) in cos 16.092 * [taylor]: Taking taylor expansion of cos in cos 16.092 * [backup-simplify]: Simplify 0 into 0 16.092 * [backup-simplify]: Simplify 1 into 1 16.092 * [backup-simplify]: Simplify (* (cos (* 2 x)) 1) into (cos (* 2 x)) 16.093 * [backup-simplify]: Simplify (* (sin (* 2 x)) 0) into 0 16.093 * [backup-simplify]: Simplify (- 0) into 0 16.093 * [backup-simplify]: Simplify (+ (cos (* 2 x)) 0) into (cos (* 2 x)) 16.093 * [backup-simplify]: Simplify (* x x) into (pow x 2) 16.093 * [backup-simplify]: Simplify (* sin sin) into (pow sin 2) 16.094 * [backup-simplify]: Simplify (* 1 1) into 1 16.094 * [backup-simplify]: Simplify (* (pow sin 2) 1) into (pow sin 2) 16.094 * [backup-simplify]: Simplify (* (pow x 2) (pow sin 2)) into (* (pow x 2) (pow sin 2)) 16.094 * [backup-simplify]: Simplify (/ (cos (* 2 x)) (* (pow x 2) (pow sin 2))) into (/ (cos (* 2 x)) (* (pow x 2) (pow sin 2))) 16.094 * [taylor]: Taking taylor expansion of (/ (cos (* 2 x)) (* (pow x 2) (* (pow sin 2) (pow cos 2)))) in sin 16.094 * [taylor]: Taking taylor expansion of (cos (* 2 x)) in sin 16.094 * [taylor]: Taking taylor expansion of (* 2 x) in sin 16.094 * [taylor]: Taking taylor expansion of 2 in sin 16.094 * [backup-simplify]: Simplify 2 into 2 16.094 * [taylor]: Taking taylor expansion of x in sin 16.094 * [backup-simplify]: Simplify x into x 16.094 * [backup-simplify]: Simplify (* 2 x) into (* 2 x) 16.094 * [backup-simplify]: Simplify (cos (* 2 x)) into (cos (* 2 x)) 16.094 * [backup-simplify]: Simplify (sin (* 2 x)) into (sin (* 2 x)) 16.094 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (pow cos 2))) in sin 16.094 * [taylor]: Taking taylor expansion of (pow x 2) in sin 16.094 * [taylor]: Taking taylor expansion of x in sin 16.094 * [backup-simplify]: Simplify x into x 16.094 * [taylor]: Taking taylor expansion of (* (pow sin 2) (pow cos 2)) in sin 16.094 * [taylor]: Taking taylor expansion of (pow sin 2) in sin 16.094 * [taylor]: Taking taylor expansion of sin in sin 16.094 * [backup-simplify]: Simplify 0 into 0 16.094 * [backup-simplify]: Simplify 1 into 1 16.095 * [taylor]: Taking taylor expansion of (pow cos 2) in sin 16.095 * [taylor]: Taking taylor expansion of cos in sin 16.095 * [backup-simplify]: Simplify cos into cos 16.095 * [backup-simplify]: Simplify (* (cos (* 2 x)) 1) into (cos (* 2 x)) 16.095 * [backup-simplify]: Simplify (* (sin (* 2 x)) 0) into 0 16.095 * [backup-simplify]: Simplify (- 0) into 0 16.095 * [backup-simplify]: Simplify (+ (cos (* 2 x)) 0) into (cos (* 2 x)) 16.095 * [backup-simplify]: Simplify (* x x) into (pow x 2) 16.096 * [backup-simplify]: Simplify (* 1 1) into 1 16.096 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 16.096 * [backup-simplify]: Simplify (* 1 (pow cos 2)) into (pow cos 2) 16.096 * [backup-simplify]: Simplify (* (pow x 2) (pow cos 2)) into (* (pow x 2) (pow cos 2)) 16.096 * [backup-simplify]: Simplify (/ (cos (* 2 x)) (* (pow x 2) (pow cos 2))) into (/ (cos (* 2 x)) (* (pow x 2) (pow cos 2))) 16.096 * [taylor]: Taking taylor expansion of (/ (cos (* 2 x)) (* (pow x 2) (* (pow sin 2) (pow cos 2)))) in sin 16.096 * [taylor]: Taking taylor expansion of (cos (* 2 x)) in sin 16.096 * [taylor]: Taking taylor expansion of (* 2 x) in sin 16.096 * [taylor]: Taking taylor expansion of 2 in sin 16.096 * [backup-simplify]: Simplify 2 into 2 16.096 * [taylor]: Taking taylor expansion of x in sin 16.096 * [backup-simplify]: Simplify x into x 16.096 * [backup-simplify]: Simplify (* 2 x) into (* 2 x) 16.096 * [backup-simplify]: Simplify (cos (* 2 x)) into (cos (* 2 x)) 16.096 * [backup-simplify]: Simplify (sin (* 2 x)) into (sin (* 2 x)) 16.096 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (pow cos 2))) in sin 16.096 * [taylor]: Taking taylor expansion of (pow x 2) in sin 16.096 * [taylor]: Taking taylor expansion of x in sin 16.097 * [backup-simplify]: Simplify x into x 16.097 * [taylor]: Taking taylor expansion of (* (pow sin 2) (pow cos 2)) in sin 16.097 * [taylor]: Taking taylor expansion of (pow sin 2) in sin 16.097 * [taylor]: Taking taylor expansion of sin in sin 16.097 * [backup-simplify]: Simplify 0 into 0 16.097 * [backup-simplify]: Simplify 1 into 1 16.097 * [taylor]: Taking taylor expansion of (pow cos 2) in sin 16.097 * [taylor]: Taking taylor expansion of cos in sin 16.097 * [backup-simplify]: Simplify cos into cos 16.097 * [backup-simplify]: Simplify (* (cos (* 2 x)) 1) into (cos (* 2 x)) 16.097 * [backup-simplify]: Simplify (* (sin (* 2 x)) 0) into 0 16.097 * [backup-simplify]: Simplify (- 0) into 0 16.097 * [backup-simplify]: Simplify (+ (cos (* 2 x)) 0) into (cos (* 2 x)) 16.097 * [backup-simplify]: Simplify (* x x) into (pow x 2) 16.098 * [backup-simplify]: Simplify (* 1 1) into 1 16.098 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 16.098 * [backup-simplify]: Simplify (* 1 (pow cos 2)) into (pow cos 2) 16.098 * [backup-simplify]: Simplify (* (pow x 2) (pow cos 2)) into (* (pow x 2) (pow cos 2)) 16.098 * [backup-simplify]: Simplify (/ (cos (* 2 x)) (* (pow x 2) (pow cos 2))) into (/ (cos (* 2 x)) (* (pow x 2) (pow cos 2))) 16.098 * [taylor]: Taking taylor expansion of (/ (cos (* 2 x)) (* (pow x 2) (pow cos 2))) in cos 16.098 * [taylor]: Taking taylor expansion of (cos (* 2 x)) in cos 16.098 * [taylor]: Taking taylor expansion of (* 2 x) in cos 16.098 * [taylor]: Taking taylor expansion of 2 in cos 16.098 * [backup-simplify]: Simplify 2 into 2 16.098 * [taylor]: Taking taylor expansion of x in cos 16.098 * [backup-simplify]: Simplify x into x 16.099 * [backup-simplify]: Simplify (* 2 x) into (* 2 x) 16.099 * [backup-simplify]: Simplify (cos (* 2 x)) into (cos (* 2 x)) 16.099 * [backup-simplify]: Simplify (sin (* 2 x)) into (sin (* 2 x)) 16.099 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow cos 2)) in cos 16.099 * [taylor]: Taking taylor expansion of (pow x 2) in cos 16.099 * [taylor]: Taking taylor expansion of x in cos 16.099 * [backup-simplify]: Simplify x into x 16.099 * [taylor]: Taking taylor expansion of (pow cos 2) in cos 16.099 * [taylor]: Taking taylor expansion of cos in cos 16.099 * [backup-simplify]: Simplify 0 into 0 16.099 * [backup-simplify]: Simplify 1 into 1 16.099 * [backup-simplify]: Simplify (* (cos (* 2 x)) 1) into (cos (* 2 x)) 16.099 * [backup-simplify]: Simplify (* (sin (* 2 x)) 0) into 0 16.099 * [backup-simplify]: Simplify (- 0) into 0 16.099 * [backup-simplify]: Simplify (+ (cos (* 2 x)) 0) into (cos (* 2 x)) 16.100 * [backup-simplify]: Simplify (* x x) into (pow x 2) 16.100 * [backup-simplify]: Simplify (* 1 1) into 1 16.100 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 16.100 * [backup-simplify]: Simplify (/ (cos (* 2 x)) (pow x 2)) into (/ (cos (* 2 x)) (pow x 2)) 16.100 * [taylor]: Taking taylor expansion of (/ (cos (* 2 x)) (pow x 2)) in x 16.100 * [taylor]: Taking taylor expansion of (cos (* 2 x)) in x 16.100 * [taylor]: Taking taylor expansion of (* 2 x) in x 16.100 * [taylor]: Taking taylor expansion of 2 in x 16.100 * [backup-simplify]: Simplify 2 into 2 16.100 * [taylor]: Taking taylor expansion of x in x 16.100 * [backup-simplify]: Simplify 0 into 0 16.100 * [backup-simplify]: Simplify 1 into 1 16.101 * [backup-simplify]: Simplify (* 2 0) into 0 16.101 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 16.101 * [taylor]: Taking taylor expansion of (pow x 2) in x 16.101 * [taylor]: Taking taylor expansion of x in x 16.101 * [backup-simplify]: Simplify 0 into 0 16.102 * [backup-simplify]: Simplify 1 into 1 16.102 * [backup-simplify]: Simplify (* 1 1) into 1 16.102 * [backup-simplify]: Simplify (/ 1 1) into 1 16.102 * [backup-simplify]: Simplify 1 into 1 16.103 * [backup-simplify]: Simplify (+ 0) into 0 16.103 * [backup-simplify]: Simplify (+ (* (cos (* 2 x)) 0) (* 0 1)) into 0 16.104 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 x)) into 0 16.104 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.105 * [backup-simplify]: Simplify (+ (* (sin (* 2 x)) 0) (* 0 0)) into 0 16.105 * [backup-simplify]: Simplify (- 0) into 0 16.105 * [backup-simplify]: Simplify (+ 0 0) into 0 16.106 * [backup-simplify]: Simplify (+ (* cos 0) (* 0 cos)) into 0 16.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow cos 2))) into 0 16.107 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 16.107 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow cos 2))) into 0 16.107 * [backup-simplify]: Simplify (- (/ 0 (* (pow x 2) (pow cos 2))) (+ (* (/ (cos (* 2 x)) (* (pow x 2) (pow cos 2))) (/ 0 (* (pow x 2) (pow cos 2)))))) into 0 16.107 * [taylor]: Taking taylor expansion of 0 in cos 16.107 * [backup-simplify]: Simplify 0 into 0 16.108 * [backup-simplify]: Simplify (+ 0) into 0 16.108 * [backup-simplify]: Simplify (+ (* (cos (* 2 x)) 0) (* 0 1)) into 0 16.109 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 x)) into 0 16.110 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.110 * [backup-simplify]: Simplify (+ (* (sin (* 2 x)) 0) (* 0 0)) into 0 16.110 * [backup-simplify]: Simplify (- 0) into 0 16.111 * [backup-simplify]: Simplify (+ 0 0) into 0 16.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.112 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 16.112 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0 16.112 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ (cos (* 2 x)) (pow x 2)) (/ 0 (pow x 2))))) into 0 16.112 * [taylor]: Taking taylor expansion of 0 in x 16.112 * [backup-simplify]: Simplify 0 into 0 16.113 * [backup-simplify]: Simplify (+ 0) into 0 16.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 16.114 * [backup-simplify]: Simplify 0 into 0 16.115 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 16.116 * [backup-simplify]: Simplify (+ (* (cos (* 2 x)) 0) (+ (* 0 0) (* 0 1))) into 0 16.116 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 x))) into 0 16.117 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 16.118 * [backup-simplify]: Simplify (+ (* (sin (* 2 x)) 0) (+ (* 0 0) (* 0 0))) into 0 16.118 * [backup-simplify]: Simplify (- 0) into 0 16.118 * [backup-simplify]: Simplify (+ 0 0) into 0 16.119 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (* 0 cos))) into 0 16.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow cos 2)))) into 0 16.121 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 16.121 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 (pow cos 2)))) into 0 16.122 * [backup-simplify]: Simplify (- (/ 0 (* (pow x 2) (pow cos 2))) (+ (* (/ (cos (* 2 x)) (* (pow x 2) (pow cos 2))) (/ 0 (* (pow x 2) (pow cos 2)))) (* 0 (/ 0 (* (pow x 2) (pow cos 2)))))) into 0 16.122 * [taylor]: Taking taylor expansion of 0 in cos 16.122 * [backup-simplify]: Simplify 0 into 0 16.123 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 16.124 * [backup-simplify]: Simplify (+ (* (cos (* 2 x)) 0) (+ (* 0 0) (* 0 1))) into 0 16.124 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 x))) into 0 16.125 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 16.125 * [backup-simplify]: Simplify (+ (* (sin (* 2 x)) 0) (+ (* 0 0) (* 0 0))) into 0 16.125 * [backup-simplify]: Simplify (- 0) into 0 16.126 * [backup-simplify]: Simplify (+ 0 0) into 0 16.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.126 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 16.131 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 1))) into 0 16.132 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ (cos (* 2 x)) (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 16.132 * [taylor]: Taking taylor expansion of 0 in x 16.132 * [backup-simplify]: Simplify 0 into 0 16.133 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 2 2) 2)) 0) into -2 16.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.134 * [backup-simplify]: Simplify (- (/ -2 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -2 16.134 * [backup-simplify]: Simplify -2 into -2 16.134 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 16.135 * [backup-simplify]: Simplify (+ (* (cos (* 2 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.136 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 16.136 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 16.137 * [backup-simplify]: Simplify (+ (* (sin (* 2 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 16.137 * [backup-simplify]: Simplify (- 0) into 0 16.137 * [backup-simplify]: Simplify (+ 0 0) into 0 16.138 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos)))) into 0 16.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow cos 2))))) into 0 16.140 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 16.140 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow cos 2))))) into 0 16.141 * [backup-simplify]: Simplify (- (/ 0 (* (pow x 2) (pow cos 2))) (+ (* (/ (cos (* 2 x)) (* (pow x 2) (pow cos 2))) (/ 0 (* (pow x 2) (pow cos 2)))) (* 0 (/ 0 (* (pow x 2) (pow cos 2)))) (* 0 (/ 0 (* (pow x 2) (pow cos 2)))))) into 0 16.141 * [taylor]: Taking taylor expansion of 0 in cos 16.141 * [backup-simplify]: Simplify 0 into 0 16.141 * [taylor]: Taking taylor expansion of 0 in x 16.141 * [backup-simplify]: Simplify 0 into 0 16.141 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 16.142 * [backup-simplify]: Simplify (+ (* (cos (* 2 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.143 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 16.143 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 16.144 * [backup-simplify]: Simplify (+ (* (sin (* 2 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 16.144 * [backup-simplify]: Simplify (- 0) into 0 16.144 * [backup-simplify]: Simplify (+ 0 0) into 0 16.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.145 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 16.146 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.146 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ (cos (* 2 x)) (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 16.146 * [taylor]: Taking taylor expansion of 0 in x 16.146 * [backup-simplify]: Simplify 0 into 0 16.146 * [backup-simplify]: Simplify 0 into 0 16.147 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 16.147 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 2 1) 1) (/ (pow 0 1) 1)) 0) into 0 16.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.149 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -2 (/ 0 1)))) into 0 16.149 * [backup-simplify]: Simplify 0 into 0 16.150 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 16.151 * [backup-simplify]: Simplify (+ (* (cos (* 2 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 16.152 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 16.152 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 16.153 * [backup-simplify]: Simplify (+ (* (sin (* 2 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 16.153 * [backup-simplify]: Simplify (- 0) into 0 16.153 * [backup-simplify]: Simplify (+ 0 0) into 0 16.154 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))) into 0 16.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 16.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow cos 2)))))) into 0 16.156 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 16.157 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow cos 2)))))) into 0 16.157 * [backup-simplify]: Simplify (- (/ 0 (* (pow x 2) (pow cos 2))) (+ (* (/ (cos (* 2 x)) (* (pow x 2) (pow cos 2))) (/ 0 (* (pow x 2) (pow cos 2)))) (* 0 (/ 0 (* (pow x 2) (pow cos 2)))) (* 0 (/ 0 (* (pow x 2) (pow cos 2)))) (* 0 (/ 0 (* (pow x 2) (pow cos 2)))))) into 0 16.158 * [taylor]: Taking taylor expansion of 0 in cos 16.158 * [backup-simplify]: Simplify 0 into 0 16.158 * [taylor]: Taking taylor expansion of 0 in x 16.158 * [backup-simplify]: Simplify 0 into 0 16.158 * [taylor]: Taking taylor expansion of 0 in x 16.158 * [backup-simplify]: Simplify 0 into 0 16.159 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 16.160 * [backup-simplify]: Simplify (+ (* (cos (* 2 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 16.161 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 16.162 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 16.163 * [backup-simplify]: Simplify (+ (* (sin (* 2 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 16.163 * [backup-simplify]: Simplify (- 0) into 0 16.164 * [backup-simplify]: Simplify (+ 0 0) into 0 16.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 16.166 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 16.167 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 16.167 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ (cos (* 2 x)) (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 16.167 * [taylor]: Taking taylor expansion of 0 in x 16.167 * [backup-simplify]: Simplify 0 into 0 16.167 * [backup-simplify]: Simplify 0 into 0 16.168 * [backup-simplify]: Simplify 0 into 0 16.169 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 16.171 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 2 4) 24)) 0 (* -1 (/ (pow 2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 2/3 16.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 16.174 * [backup-simplify]: Simplify (- (/ 2/3 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 2/3 16.174 * [backup-simplify]: Simplify 2/3 into 2/3 16.175 * [backup-simplify]: Simplify (+ (* 2/3 (pow (* x (* (/ 1 cos) (/ 1 sin))) 2)) (+ (* -2 (pow (* 1 (* (/ 1 cos) (/ 1 sin))) 2)) (* 1 (pow (* (/ 1 x) (* (/ 1 cos) (/ 1 sin))) 2)))) into (- (+ (/ 1 (* (pow x 2) (* (pow cos 2) (pow sin 2)))) (* 2/3 (/ (pow x 2) (* (pow cos 2) (pow sin 2))))) (* 2 (/ 1 (* (pow cos 2) (pow sin 2))))) 16.175 * [backup-simplify]: Simplify (/ 1 (/ (* (* (/ 1 sin) (* (/ 1 cos) (/ 1 x))) (* (/ 1 sin) (* (/ 1 cos) (/ 1 x)))) (cos (* 2 (/ 1 x))))) into (* (pow x 2) (* (pow sin 2) (* (pow cos 2) (cos (/ 2 x))))) 16.175 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (* (pow cos 2) (cos (/ 2 x))))) in (sin cos x) around 0 16.175 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (* (pow cos 2) (cos (/ 2 x))))) in x 16.176 * [taylor]: Taking taylor expansion of (pow x 2) in x 16.176 * [taylor]: Taking taylor expansion of x in x 16.176 * [backup-simplify]: Simplify 0 into 0 16.176 * [backup-simplify]: Simplify 1 into 1 16.176 * [taylor]: Taking taylor expansion of (* (pow sin 2) (* (pow cos 2) (cos (/ 2 x)))) in x 16.176 * [taylor]: Taking taylor expansion of (pow sin 2) in x 16.176 * [taylor]: Taking taylor expansion of sin in x 16.176 * [backup-simplify]: Simplify sin into sin 16.176 * [taylor]: Taking taylor expansion of (* (pow cos 2) (cos (/ 2 x))) in x 16.176 * [taylor]: Taking taylor expansion of (pow cos 2) in x 16.176 * [taylor]: Taking taylor expansion of cos in x 16.176 * [backup-simplify]: Simplify cos into cos 16.176 * [taylor]: Taking taylor expansion of (cos (/ 2 x)) in x 16.176 * [taylor]: Taking taylor expansion of (/ 2 x) in x 16.176 * [taylor]: Taking taylor expansion of 2 in x 16.176 * [backup-simplify]: Simplify 2 into 2 16.176 * [taylor]: Taking taylor expansion of x in x 16.176 * [backup-simplify]: Simplify 0 into 0 16.176 * [backup-simplify]: Simplify 1 into 1 16.177 * [backup-simplify]: Simplify (/ 2 1) into 2 16.177 * [backup-simplify]: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) 16.177 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (* (pow cos 2) (cos (/ 2 x))))) in cos 16.177 * [taylor]: Taking taylor expansion of (pow x 2) in cos 16.177 * [taylor]: Taking taylor expansion of x in cos 16.177 * [backup-simplify]: Simplify x into x 16.177 * [taylor]: Taking taylor expansion of (* (pow sin 2) (* (pow cos 2) (cos (/ 2 x)))) in cos 16.177 * [taylor]: Taking taylor expansion of (pow sin 2) in cos 16.177 * [taylor]: Taking taylor expansion of sin in cos 16.177 * [backup-simplify]: Simplify sin into sin 16.177 * [taylor]: Taking taylor expansion of (* (pow cos 2) (cos (/ 2 x))) in cos 16.177 * [taylor]: Taking taylor expansion of (pow cos 2) in cos 16.177 * [taylor]: Taking taylor expansion of cos in cos 16.177 * [backup-simplify]: Simplify 0 into 0 16.177 * [backup-simplify]: Simplify 1 into 1 16.177 * [taylor]: Taking taylor expansion of (cos (/ 2 x)) in cos 16.177 * [taylor]: Taking taylor expansion of (/ 2 x) in cos 16.177 * [taylor]: Taking taylor expansion of 2 in cos 16.177 * [backup-simplify]: Simplify 2 into 2 16.177 * [taylor]: Taking taylor expansion of x in cos 16.177 * [backup-simplify]: Simplify x into x 16.177 * [backup-simplify]: Simplify (/ 2 x) into (/ 2 x) 16.177 * [backup-simplify]: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) 16.177 * [backup-simplify]: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) 16.177 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (* (pow cos 2) (cos (/ 2 x))))) in sin 16.177 * [taylor]: Taking taylor expansion of (pow x 2) in sin 16.177 * [taylor]: Taking taylor expansion of x in sin 16.177 * [backup-simplify]: Simplify x into x 16.177 * [taylor]: Taking taylor expansion of (* (pow sin 2) (* (pow cos 2) (cos (/ 2 x)))) in sin 16.177 * [taylor]: Taking taylor expansion of (pow sin 2) in sin 16.177 * [taylor]: Taking taylor expansion of sin in sin 16.177 * [backup-simplify]: Simplify 0 into 0 16.177 * [backup-simplify]: Simplify 1 into 1 16.178 * [taylor]: Taking taylor expansion of (* (pow cos 2) (cos (/ 2 x))) in sin 16.178 * [taylor]: Taking taylor expansion of (pow cos 2) in sin 16.178 * [taylor]: Taking taylor expansion of cos in sin 16.178 * [backup-simplify]: Simplify cos into cos 16.178 * [taylor]: Taking taylor expansion of (cos (/ 2 x)) in sin 16.178 * [taylor]: Taking taylor expansion of (/ 2 x) in sin 16.178 * [taylor]: Taking taylor expansion of 2 in sin 16.178 * [backup-simplify]: Simplify 2 into 2 16.178 * [taylor]: Taking taylor expansion of x in sin 16.178 * [backup-simplify]: Simplify x into x 16.178 * [backup-simplify]: Simplify (/ 2 x) into (/ 2 x) 16.178 * [backup-simplify]: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) 16.178 * [backup-simplify]: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) 16.178 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (* (pow cos 2) (cos (/ 2 x))))) in sin 16.178 * [taylor]: Taking taylor expansion of (pow x 2) in sin 16.178 * [taylor]: Taking taylor expansion of x in sin 16.178 * [backup-simplify]: Simplify x into x 16.178 * [taylor]: Taking taylor expansion of (* (pow sin 2) (* (pow cos 2) (cos (/ 2 x)))) in sin 16.178 * [taylor]: Taking taylor expansion of (pow sin 2) in sin 16.178 * [taylor]: Taking taylor expansion of sin in sin 16.178 * [backup-simplify]: Simplify 0 into 0 16.178 * [backup-simplify]: Simplify 1 into 1 16.178 * [taylor]: Taking taylor expansion of (* (pow cos 2) (cos (/ 2 x))) in sin 16.178 * [taylor]: Taking taylor expansion of (pow cos 2) in sin 16.178 * [taylor]: Taking taylor expansion of cos in sin 16.178 * [backup-simplify]: Simplify cos into cos 16.178 * [taylor]: Taking taylor expansion of (cos (/ 2 x)) in sin 16.178 * [taylor]: Taking taylor expansion of (/ 2 x) in sin 16.178 * [taylor]: Taking taylor expansion of 2 in sin 16.178 * [backup-simplify]: Simplify 2 into 2 16.178 * [taylor]: Taking taylor expansion of x in sin 16.178 * [backup-simplify]: Simplify x into x 16.178 * [backup-simplify]: Simplify (/ 2 x) into (/ 2 x) 16.179 * [backup-simplify]: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) 16.179 * [backup-simplify]: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) 16.179 * [backup-simplify]: Simplify (* x x) into (pow x 2) 16.179 * [backup-simplify]: Simplify (* 1 1) into 1 16.179 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 16.179 * [backup-simplify]: Simplify (* (cos (/ 2 x)) 1) into (cos (/ 2 x)) 16.179 * [backup-simplify]: Simplify (* (sin (/ 2 x)) 0) into 0 16.180 * [backup-simplify]: Simplify (- 0) into 0 16.180 * [backup-simplify]: Simplify (+ (cos (/ 2 x)) 0) into (cos (/ 2 x)) 16.180 * [backup-simplify]: Simplify (* (pow cos 2) (cos (/ 2 x))) into (* (pow cos 2) (cos (/ 2 x))) 16.180 * [backup-simplify]: Simplify (* 1 (* (pow cos 2) (cos (/ 2 x)))) into (* (pow cos 2) (cos (/ 2 x))) 16.180 * [backup-simplify]: Simplify (* (pow x 2) (* (pow cos 2) (cos (/ 2 x)))) into (* (pow x 2) (* (pow cos 2) (cos (/ 2 x)))) 16.180 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow cos 2) (cos (/ 2 x)))) in cos 16.181 * [taylor]: Taking taylor expansion of (pow x 2) in cos 16.181 * [taylor]: Taking taylor expansion of x in cos 16.181 * [backup-simplify]: Simplify x into x 16.181 * [taylor]: Taking taylor expansion of (* (pow cos 2) (cos (/ 2 x))) in cos 16.181 * [taylor]: Taking taylor expansion of (pow cos 2) in cos 16.181 * [taylor]: Taking taylor expansion of cos in cos 16.181 * [backup-simplify]: Simplify 0 into 0 16.181 * [backup-simplify]: Simplify 1 into 1 16.181 * [taylor]: Taking taylor expansion of (cos (/ 2 x)) in cos 16.181 * [taylor]: Taking taylor expansion of (/ 2 x) in cos 16.181 * [taylor]: Taking taylor expansion of 2 in cos 16.181 * [backup-simplify]: Simplify 2 into 2 16.181 * [taylor]: Taking taylor expansion of x in cos 16.181 * [backup-simplify]: Simplify x into x 16.181 * [backup-simplify]: Simplify (/ 2 x) into (/ 2 x) 16.181 * [backup-simplify]: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) 16.181 * [backup-simplify]: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) 16.181 * [backup-simplify]: Simplify (* x x) into (pow x 2) 16.182 * [backup-simplify]: Simplify (* 1 1) into 1 16.182 * [backup-simplify]: Simplify (* (cos (/ 2 x)) 1) into (cos (/ 2 x)) 16.182 * [backup-simplify]: Simplify (* (sin (/ 2 x)) 0) into 0 16.182 * [backup-simplify]: Simplify (- 0) into 0 16.182 * [backup-simplify]: Simplify (+ (cos (/ 2 x)) 0) into (cos (/ 2 x)) 16.182 * [backup-simplify]: Simplify (* 1 (cos (/ 2 x))) into (cos (/ 2 x)) 16.182 * [backup-simplify]: Simplify (* (pow x 2) (cos (/ 2 x))) into (* (pow x 2) (cos (/ 2 x))) 16.182 * [taylor]: Taking taylor expansion of (* (pow x 2) (cos (/ 2 x))) in x 16.182 * [taylor]: Taking taylor expansion of (pow x 2) in x 16.182 * [taylor]: Taking taylor expansion of x in x 16.182 * [backup-simplify]: Simplify 0 into 0 16.183 * [backup-simplify]: Simplify 1 into 1 16.183 * [taylor]: Taking taylor expansion of (cos (/ 2 x)) in x 16.183 * [taylor]: Taking taylor expansion of (/ 2 x) in x 16.183 * [taylor]: Taking taylor expansion of 2 in x 16.183 * [backup-simplify]: Simplify 2 into 2 16.183 * [taylor]: Taking taylor expansion of x in x 16.183 * [backup-simplify]: Simplify 0 into 0 16.183 * [backup-simplify]: Simplify 1 into 1 16.183 * [backup-simplify]: Simplify (/ 2 1) into 2 16.183 * [backup-simplify]: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) 16.184 * [backup-simplify]: Simplify (* 1 1) into 1 16.184 * [backup-simplify]: Simplify (* 1 (cos (/ 2 x))) into (cos (/ 2 x)) 16.184 * [backup-simplify]: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) 16.184 * [backup-simplify]: Simplify (+ 0) into 0 16.185 * [backup-simplify]: Simplify (+ (* (cos (/ 2 x)) 0) (* 0 1)) into 0 16.185 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 2 x) (/ 0 x)))) into 0 16.185 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.186 * [backup-simplify]: Simplify (+ (* (sin (/ 2 x)) 0) (* 0 0)) into 0 16.186 * [backup-simplify]: Simplify (- 0) into 0 16.187 * [backup-simplify]: Simplify (+ 0 0) into 0 16.187 * [backup-simplify]: Simplify (+ (* cos 0) (* 0 cos)) into 0 16.187 * [backup-simplify]: Simplify (+ (* (pow cos 2) 0) (* 0 (cos (/ 2 x)))) into 0 16.188 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.189 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (* (pow cos 2) (cos (/ 2 x))))) into 0 16.189 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 16.189 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (* (pow cos 2) (cos (/ 2 x))))) into 0 16.189 * [taylor]: Taking taylor expansion of 0 in cos 16.189 * [backup-simplify]: Simplify 0 into 0 16.189 * [taylor]: Taking taylor expansion of 0 in x 16.189 * [backup-simplify]: Simplify 0 into 0 16.189 * [backup-simplify]: Simplify 0 into 0 16.190 * [backup-simplify]: Simplify (+ 0) into 0 16.190 * [backup-simplify]: Simplify (+ (* (cos (/ 2 x)) 0) (* 0 1)) into 0 16.190 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 2 x) (/ 0 x)))) into 0 16.191 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.191 * [backup-simplify]: Simplify (+ (* (sin (/ 2 x)) 0) (* 0 0)) into 0 16.192 * [backup-simplify]: Simplify (- 0) into 0 16.192 * [backup-simplify]: Simplify (+ 0 0) into 0 16.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 2 x)))) into 0 16.193 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 16.194 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (cos (/ 2 x)))) into 0 16.194 * [taylor]: Taking taylor expansion of 0 in x 16.194 * [backup-simplify]: Simplify 0 into 0 16.194 * [backup-simplify]: Simplify 0 into 0 16.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 2 x)))) into 0 16.195 * [backup-simplify]: Simplify 0 into 0 16.196 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 16.197 * [backup-simplify]: Simplify (+ (* (cos (/ 2 x)) 0) (+ (* 0 0) (* 0 1))) into 0 16.197 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 2 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 16.198 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 16.198 * [backup-simplify]: Simplify (+ (* (sin (/ 2 x)) 0) (+ (* 0 0) (* 0 0))) into 0 16.199 * [backup-simplify]: Simplify (- 0) into 0 16.199 * [backup-simplify]: Simplify (+ 0 0) into 0 16.199 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (* 0 cos))) into 0 16.200 * [backup-simplify]: Simplify (+ (* (pow cos 2) 0) (+ (* 0 0) (* 0 (cos (/ 2 x))))) into 0 16.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (* (pow cos 2) (cos (/ 2 x)))))) into 0 16.202 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 16.203 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 (* (pow cos 2) (cos (/ 2 x)))))) into 0 16.203 * [taylor]: Taking taylor expansion of 0 in cos 16.203 * [backup-simplify]: Simplify 0 into 0 16.203 * [taylor]: Taking taylor expansion of 0 in x 16.203 * [backup-simplify]: Simplify 0 into 0 16.203 * [backup-simplify]: Simplify 0 into 0 16.203 * [taylor]: Taking taylor expansion of 0 in x 16.203 * [backup-simplify]: Simplify 0 into 0 16.203 * [backup-simplify]: Simplify 0 into 0 16.204 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 16.205 * [backup-simplify]: Simplify (+ (* (cos (/ 2 x)) 0) (+ (* 0 0) (* 0 1))) into 0 16.205 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 2 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 16.206 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 16.206 * [backup-simplify]: Simplify (+ (* (sin (/ 2 x)) 0) (+ (* 0 0) (* 0 0))) into 0 16.207 * [backup-simplify]: Simplify (- 0) into 0 16.207 * [backup-simplify]: Simplify (+ 0 0) into 0 16.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 2 x))))) into 0 16.209 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 16.210 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 (cos (/ 2 x))))) into 0 16.210 * [taylor]: Taking taylor expansion of 0 in x 16.210 * [backup-simplify]: Simplify 0 into 0 16.210 * [backup-simplify]: Simplify 0 into 0 16.210 * [backup-simplify]: Simplify (* (cos (/ 2 (/ 1 x))) (pow (* (/ 1 x) (* (/ 1 cos) (/ 1 sin))) 2)) into (/ (cos (* 2 x)) (* (pow sin 2) (* (pow x 2) (pow cos 2)))) 16.211 * [backup-simplify]: Simplify (/ 1 (/ (* (* (/ 1 (- sin)) (* (/ 1 (- cos)) (/ 1 (- x)))) (* (/ 1 (- sin)) (* (/ 1 (- cos)) (/ 1 (- x))))) (cos (* 2 (/ 1 (- x)))))) into (* (cos (/ -2 x)) (* (pow x 2) (* (pow sin 2) (pow cos 2)))) 16.211 * [approximate]: Taking taylor expansion of (* (cos (/ -2 x)) (* (pow x 2) (* (pow sin 2) (pow cos 2)))) in (sin cos x) around 0 16.211 * [taylor]: Taking taylor expansion of (* (cos (/ -2 x)) (* (pow x 2) (* (pow sin 2) (pow cos 2)))) in x 16.211 * [taylor]: Taking taylor expansion of (cos (/ -2 x)) in x 16.211 * [taylor]: Taking taylor expansion of (/ -2 x) in x 16.211 * [taylor]: Taking taylor expansion of -2 in x 16.211 * [backup-simplify]: Simplify -2 into -2 16.211 * [taylor]: Taking taylor expansion of x in x 16.211 * [backup-simplify]: Simplify 0 into 0 16.211 * [backup-simplify]: Simplify 1 into 1 16.211 * [backup-simplify]: Simplify (/ -2 1) into -2 16.211 * [backup-simplify]: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) 16.211 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (pow cos 2))) in x 16.211 * [taylor]: Taking taylor expansion of (pow x 2) in x 16.211 * [taylor]: Taking taylor expansion of x in x 16.212 * [backup-simplify]: Simplify 0 into 0 16.212 * [backup-simplify]: Simplify 1 into 1 16.212 * [taylor]: Taking taylor expansion of (* (pow sin 2) (pow cos 2)) in x 16.212 * [taylor]: Taking taylor expansion of (pow sin 2) in x 16.212 * [taylor]: Taking taylor expansion of sin in x 16.212 * [backup-simplify]: Simplify sin into sin 16.212 * [taylor]: Taking taylor expansion of (pow cos 2) in x 16.212 * [taylor]: Taking taylor expansion of cos in x 16.212 * [backup-simplify]: Simplify cos into cos 16.212 * [taylor]: Taking taylor expansion of (* (cos (/ -2 x)) (* (pow x 2) (* (pow sin 2) (pow cos 2)))) in cos 16.212 * [taylor]: Taking taylor expansion of (cos (/ -2 x)) in cos 16.212 * [taylor]: Taking taylor expansion of (/ -2 x) in cos 16.212 * [taylor]: Taking taylor expansion of -2 in cos 16.212 * [backup-simplify]: Simplify -2 into -2 16.212 * [taylor]: Taking taylor expansion of x in cos 16.212 * [backup-simplify]: Simplify x into x 16.212 * [backup-simplify]: Simplify (/ -2 x) into (/ -2 x) 16.212 * [backup-simplify]: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) 16.212 * [backup-simplify]: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) 16.212 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (pow cos 2))) in cos 16.212 * [taylor]: Taking taylor expansion of (pow x 2) in cos 16.212 * [taylor]: Taking taylor expansion of x in cos 16.212 * [backup-simplify]: Simplify x into x 16.212 * [taylor]: Taking taylor expansion of (* (pow sin 2) (pow cos 2)) in cos 16.212 * [taylor]: Taking taylor expansion of (pow sin 2) in cos 16.212 * [taylor]: Taking taylor expansion of sin in cos 16.212 * [backup-simplify]: Simplify sin into sin 16.212 * [taylor]: Taking taylor expansion of (pow cos 2) in cos 16.212 * [taylor]: Taking taylor expansion of cos in cos 16.212 * [backup-simplify]: Simplify 0 into 0 16.212 * [backup-simplify]: Simplify 1 into 1 16.212 * [taylor]: Taking taylor expansion of (* (cos (/ -2 x)) (* (pow x 2) (* (pow sin 2) (pow cos 2)))) in sin 16.212 * [taylor]: Taking taylor expansion of (cos (/ -2 x)) in sin 16.212 * [taylor]: Taking taylor expansion of (/ -2 x) in sin 16.212 * [taylor]: Taking taylor expansion of -2 in sin 16.212 * [backup-simplify]: Simplify -2 into -2 16.212 * [taylor]: Taking taylor expansion of x in sin 16.213 * [backup-simplify]: Simplify x into x 16.213 * [backup-simplify]: Simplify (/ -2 x) into (/ -2 x) 16.213 * [backup-simplify]: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) 16.213 * [backup-simplify]: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) 16.213 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (pow cos 2))) in sin 16.213 * [taylor]: Taking taylor expansion of (pow x 2) in sin 16.213 * [taylor]: Taking taylor expansion of x in sin 16.213 * [backup-simplify]: Simplify x into x 16.213 * [taylor]: Taking taylor expansion of (* (pow sin 2) (pow cos 2)) in sin 16.213 * [taylor]: Taking taylor expansion of (pow sin 2) in sin 16.213 * [taylor]: Taking taylor expansion of sin in sin 16.213 * [backup-simplify]: Simplify 0 into 0 16.213 * [backup-simplify]: Simplify 1 into 1 16.213 * [taylor]: Taking taylor expansion of (pow cos 2) in sin 16.213 * [taylor]: Taking taylor expansion of cos in sin 16.213 * [backup-simplify]: Simplify cos into cos 16.213 * [taylor]: Taking taylor expansion of (* (cos (/ -2 x)) (* (pow x 2) (* (pow sin 2) (pow cos 2)))) in sin 16.213 * [taylor]: Taking taylor expansion of (cos (/ -2 x)) in sin 16.213 * [taylor]: Taking taylor expansion of (/ -2 x) in sin 16.213 * [taylor]: Taking taylor expansion of -2 in sin 16.213 * [backup-simplify]: Simplify -2 into -2 16.213 * [taylor]: Taking taylor expansion of x in sin 16.213 * [backup-simplify]: Simplify x into x 16.213 * [backup-simplify]: Simplify (/ -2 x) into (/ -2 x) 16.213 * [backup-simplify]: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) 16.213 * [backup-simplify]: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) 16.213 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (pow cos 2))) in sin 16.213 * [taylor]: Taking taylor expansion of (pow x 2) in sin 16.213 * [taylor]: Taking taylor expansion of x in sin 16.213 * [backup-simplify]: Simplify x into x 16.213 * [taylor]: Taking taylor expansion of (* (pow sin 2) (pow cos 2)) in sin 16.213 * [taylor]: Taking taylor expansion of (pow sin 2) in sin 16.213 * [taylor]: Taking taylor expansion of sin in sin 16.214 * [backup-simplify]: Simplify 0 into 0 16.214 * [backup-simplify]: Simplify 1 into 1 16.214 * [taylor]: Taking taylor expansion of (pow cos 2) in sin 16.214 * [taylor]: Taking taylor expansion of cos in sin 16.214 * [backup-simplify]: Simplify cos into cos 16.214 * [backup-simplify]: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) 16.214 * [backup-simplify]: Simplify (* (sin (/ -2 x)) 0) into 0 16.214 * [backup-simplify]: Simplify (- 0) into 0 16.214 * [backup-simplify]: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) 16.215 * [backup-simplify]: Simplify (* x x) into (pow x 2) 16.215 * [backup-simplify]: Simplify (* 1 1) into 1 16.215 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 16.215 * [backup-simplify]: Simplify (* 1 (pow cos 2)) into (pow cos 2) 16.215 * [backup-simplify]: Simplify (* (pow x 2) (pow cos 2)) into (* (pow x 2) (pow cos 2)) 16.215 * [backup-simplify]: Simplify (* (cos (/ -2 x)) (* (pow x 2) (pow cos 2))) into (* (cos (/ -2 x)) (* (pow x 2) (pow cos 2))) 16.215 * [taylor]: Taking taylor expansion of (* (cos (/ -2 x)) (* (pow x 2) (pow cos 2))) in cos 16.215 * [taylor]: Taking taylor expansion of (cos (/ -2 x)) in cos 16.215 * [taylor]: Taking taylor expansion of (/ -2 x) in cos 16.215 * [taylor]: Taking taylor expansion of -2 in cos 16.215 * [backup-simplify]: Simplify -2 into -2 16.216 * [taylor]: Taking taylor expansion of x in cos 16.216 * [backup-simplify]: Simplify x into x 16.216 * [backup-simplify]: Simplify (/ -2 x) into (/ -2 x) 16.216 * [backup-simplify]: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) 16.216 * [backup-simplify]: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) 16.216 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow cos 2)) in cos 16.216 * [taylor]: Taking taylor expansion of (pow x 2) in cos 16.216 * [taylor]: Taking taylor expansion of x in cos 16.216 * [backup-simplify]: Simplify x into x 16.216 * [taylor]: Taking taylor expansion of (pow cos 2) in cos 16.216 * [taylor]: Taking taylor expansion of cos in cos 16.216 * [backup-simplify]: Simplify 0 into 0 16.216 * [backup-simplify]: Simplify 1 into 1 16.216 * [backup-simplify]: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) 16.216 * [backup-simplify]: Simplify (* (sin (/ -2 x)) 0) into 0 16.216 * [backup-simplify]: Simplify (- 0) into 0 16.217 * [backup-simplify]: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) 16.217 * [backup-simplify]: Simplify (* x x) into (pow x 2) 16.217 * [backup-simplify]: Simplify (* 1 1) into 1 16.217 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 16.217 * [backup-simplify]: Simplify (* (cos (/ -2 x)) (pow x 2)) into (* (cos (/ -2 x)) (pow x 2)) 16.217 * [taylor]: Taking taylor expansion of (* (cos (/ -2 x)) (pow x 2)) in x 16.217 * [taylor]: Taking taylor expansion of (cos (/ -2 x)) in x 16.217 * [taylor]: Taking taylor expansion of (/ -2 x) in x 16.217 * [taylor]: Taking taylor expansion of -2 in x 16.217 * [backup-simplify]: Simplify -2 into -2 16.217 * [taylor]: Taking taylor expansion of x in x 16.217 * [backup-simplify]: Simplify 0 into 0 16.217 * [backup-simplify]: Simplify 1 into 1 16.218 * [backup-simplify]: Simplify (/ -2 1) into -2 16.218 * [backup-simplify]: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) 16.218 * [taylor]: Taking taylor expansion of (pow x 2) in x 16.218 * [taylor]: Taking taylor expansion of x in x 16.218 * [backup-simplify]: Simplify 0 into 0 16.218 * [backup-simplify]: Simplify 1 into 1 16.219 * [backup-simplify]: Simplify (* 1 1) into 1 16.219 * [backup-simplify]: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) 16.219 * [backup-simplify]: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) 16.219 * [backup-simplify]: Simplify (+ (* cos 0) (* 0 cos)) into 0 16.220 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.220 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow cos 2))) into 0 16.220 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 16.220 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow cos 2))) into 0 16.221 * [backup-simplify]: Simplify (+ 0) into 0 16.221 * [backup-simplify]: Simplify (+ (* (cos (/ -2 x)) 0) (* 0 1)) into 0 16.221 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)))) into 0 16.222 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.222 * [backup-simplify]: Simplify (+ (* (sin (/ -2 x)) 0) (* 0 0)) into 0 16.223 * [backup-simplify]: Simplify (- 0) into 0 16.223 * [backup-simplify]: Simplify (+ 0 0) into 0 16.223 * [backup-simplify]: Simplify (+ (* (cos (/ -2 x)) 0) (* 0 (* (pow x 2) (pow cos 2)))) into 0 16.223 * [taylor]: Taking taylor expansion of 0 in cos 16.223 * [backup-simplify]: Simplify 0 into 0 16.223 * [taylor]: Taking taylor expansion of 0 in x 16.223 * [backup-simplify]: Simplify 0 into 0 16.223 * [backup-simplify]: Simplify 0 into 0 16.224 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.224 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 16.224 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0 16.225 * [backup-simplify]: Simplify (+ 0) into 0 16.225 * [backup-simplify]: Simplify (+ (* (cos (/ -2 x)) 0) (* 0 1)) into 0 16.225 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)))) into 0 16.226 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.227 * [backup-simplify]: Simplify (+ (* (sin (/ -2 x)) 0) (* 0 0)) into 0 16.227 * [backup-simplify]: Simplify (- 0) into 0 16.227 * [backup-simplify]: Simplify (+ 0 0) into 0 16.227 * [backup-simplify]: Simplify (+ (* (cos (/ -2 x)) 0) (* 0 (pow x 2))) into 0 16.227 * [taylor]: Taking taylor expansion of 0 in x 16.228 * [backup-simplify]: Simplify 0 into 0 16.228 * [backup-simplify]: Simplify 0 into 0 16.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.229 * [backup-simplify]: Simplify (+ (* (cos (/ -2 x)) 0) (* 0 1)) into 0 16.229 * [backup-simplify]: Simplify 0 into 0 16.229 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (* 0 cos))) into 0 16.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow cos 2)))) into 0 16.231 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 16.232 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 (pow cos 2)))) into 0 16.233 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 16.233 * [backup-simplify]: Simplify (+ (* (cos (/ -2 x)) 0) (+ (* 0 0) (* 0 1))) into 0 16.233 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 16.234 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 16.235 * [backup-simplify]: Simplify (+ (* (sin (/ -2 x)) 0) (+ (* 0 0) (* 0 0))) into 0 16.235 * [backup-simplify]: Simplify (- 0) into 0 16.235 * [backup-simplify]: Simplify (+ 0 0) into 0 16.236 * [backup-simplify]: Simplify (+ (* (cos (/ -2 x)) 0) (+ (* 0 0) (* 0 (* (pow x 2) (pow cos 2))))) into 0 16.236 * [taylor]: Taking taylor expansion of 0 in cos 16.236 * [backup-simplify]: Simplify 0 into 0 16.236 * [taylor]: Taking taylor expansion of 0 in x 16.236 * [backup-simplify]: Simplify 0 into 0 16.236 * [backup-simplify]: Simplify 0 into 0 16.236 * [taylor]: Taking taylor expansion of 0 in x 16.236 * [backup-simplify]: Simplify 0 into 0 16.236 * [backup-simplify]: Simplify 0 into 0 16.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.238 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 16.239 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 1))) into 0 16.239 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 16.240 * [backup-simplify]: Simplify (+ (* (cos (/ -2 x)) 0) (+ (* 0 0) (* 0 1))) into 0 16.240 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 16.241 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 16.242 * [backup-simplify]: Simplify (+ (* (sin (/ -2 x)) 0) (+ (* 0 0) (* 0 0))) into 0 16.242 * [backup-simplify]: Simplify (- 0) into 0 16.242 * [backup-simplify]: Simplify (+ 0 0) into 0 16.243 * [backup-simplify]: Simplify (+ (* (cos (/ -2 x)) 0) (+ (* 0 0) (* 0 (pow x 2)))) into 0 16.243 * [taylor]: Taking taylor expansion of 0 in x 16.243 * [backup-simplify]: Simplify 0 into 0 16.243 * [backup-simplify]: Simplify 0 into 0 16.243 * [backup-simplify]: Simplify (* (cos (/ -2 (/ 1 (- x)))) (pow (* (/ 1 (- x)) (* (/ 1 (- cos)) (/ 1 (- sin)))) 2)) into (/ (cos (* 2 x)) (* (pow sin 2) (* (pow x 2) (pow cos 2)))) 16.243 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 16.244 * [backup-simplify]: Simplify (* (* sin (* cos x)) (* sin (* cos x))) into (* (pow x 2) (* (pow sin 2) (pow cos 2))) 16.244 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (pow cos 2))) in (sin cos x) around 0 16.244 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (pow cos 2))) in x 16.244 * [taylor]: Taking taylor expansion of (pow x 2) in x 16.244 * [taylor]: Taking taylor expansion of x in x 16.244 * [backup-simplify]: Simplify 0 into 0 16.244 * [backup-simplify]: Simplify 1 into 1 16.244 * [taylor]: Taking taylor expansion of (* (pow sin 2) (pow cos 2)) in x 16.244 * [taylor]: Taking taylor expansion of (pow sin 2) in x 16.244 * [taylor]: Taking taylor expansion of sin in x 16.244 * [backup-simplify]: Simplify sin into sin 16.244 * [taylor]: Taking taylor expansion of (pow cos 2) in x 16.244 * [taylor]: Taking taylor expansion of cos in x 16.244 * [backup-simplify]: Simplify cos into cos 16.244 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (pow cos 2))) in cos 16.244 * [taylor]: Taking taylor expansion of (pow x 2) in cos 16.244 * [taylor]: Taking taylor expansion of x in cos 16.244 * [backup-simplify]: Simplify x into x 16.244 * [taylor]: Taking taylor expansion of (* (pow sin 2) (pow cos 2)) in cos 16.244 * [taylor]: Taking taylor expansion of (pow sin 2) in cos 16.244 * [taylor]: Taking taylor expansion of sin in cos 16.244 * [backup-simplify]: Simplify sin into sin 16.244 * [taylor]: Taking taylor expansion of (pow cos 2) in cos 16.244 * [taylor]: Taking taylor expansion of cos in cos 16.244 * [backup-simplify]: Simplify 0 into 0 16.244 * [backup-simplify]: Simplify 1 into 1 16.244 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (pow cos 2))) in sin 16.244 * [taylor]: Taking taylor expansion of (pow x 2) in sin 16.244 * [taylor]: Taking taylor expansion of x in sin 16.244 * [backup-simplify]: Simplify x into x 16.244 * [taylor]: Taking taylor expansion of (* (pow sin 2) (pow cos 2)) in sin 16.244 * [taylor]: Taking taylor expansion of (pow sin 2) in sin 16.244 * [taylor]: Taking taylor expansion of sin in sin 16.244 * [backup-simplify]: Simplify 0 into 0 16.244 * [backup-simplify]: Simplify 1 into 1 16.244 * [taylor]: Taking taylor expansion of (pow cos 2) in sin 16.244 * [taylor]: Taking taylor expansion of cos in sin 16.244 * [backup-simplify]: Simplify cos into cos 16.244 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (pow cos 2))) in sin 16.244 * [taylor]: Taking taylor expansion of (pow x 2) in sin 16.245 * [taylor]: Taking taylor expansion of x in sin 16.245 * [backup-simplify]: Simplify x into x 16.245 * [taylor]: Taking taylor expansion of (* (pow sin 2) (pow cos 2)) in sin 16.245 * [taylor]: Taking taylor expansion of (pow sin 2) in sin 16.245 * [taylor]: Taking taylor expansion of sin in sin 16.245 * [backup-simplify]: Simplify 0 into 0 16.245 * [backup-simplify]: Simplify 1 into 1 16.245 * [taylor]: Taking taylor expansion of (pow cos 2) in sin 16.245 * [taylor]: Taking taylor expansion of cos in sin 16.245 * [backup-simplify]: Simplify cos into cos 16.245 * [backup-simplify]: Simplify (* x x) into (pow x 2) 16.245 * [backup-simplify]: Simplify (* 1 1) into 1 16.245 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 16.245 * [backup-simplify]: Simplify (* 1 (pow cos 2)) into (pow cos 2) 16.246 * [backup-simplify]: Simplify (* (pow x 2) (pow cos 2)) into (* (pow x 2) (pow cos 2)) 16.246 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow cos 2)) in cos 16.246 * [taylor]: Taking taylor expansion of (pow x 2) in cos 16.246 * [taylor]: Taking taylor expansion of x in cos 16.246 * [backup-simplify]: Simplify x into x 16.246 * [taylor]: Taking taylor expansion of (pow cos 2) in cos 16.246 * [taylor]: Taking taylor expansion of cos in cos 16.246 * [backup-simplify]: Simplify 0 into 0 16.246 * [backup-simplify]: Simplify 1 into 1 16.246 * [backup-simplify]: Simplify (* x x) into (pow x 2) 16.246 * [backup-simplify]: Simplify (* 1 1) into 1 16.246 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 16.246 * [taylor]: Taking taylor expansion of (pow x 2) in x 16.246 * [taylor]: Taking taylor expansion of x in x 16.246 * [backup-simplify]: Simplify 0 into 0 16.246 * [backup-simplify]: Simplify 1 into 1 16.247 * [backup-simplify]: Simplify (* 1 1) into 1 16.247 * [backup-simplify]: Simplify 1 into 1 16.247 * [backup-simplify]: Simplify (+ (* cos 0) (* 0 cos)) into 0 16.248 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.248 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow cos 2))) into 0 16.248 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 16.248 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow cos 2))) into 0 16.248 * [taylor]: Taking taylor expansion of 0 in cos 16.248 * [backup-simplify]: Simplify 0 into 0 16.248 * [taylor]: Taking taylor expansion of 0 in x 16.249 * [backup-simplify]: Simplify 0 into 0 16.249 * [backup-simplify]: Simplify 0 into 0 16.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.249 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 16.250 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0 16.250 * [taylor]: Taking taylor expansion of 0 in x 16.250 * [backup-simplify]: Simplify 0 into 0 16.250 * [backup-simplify]: Simplify 0 into 0 16.250 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.251 * [backup-simplify]: Simplify 0 into 0 16.251 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (* 0 cos))) into 0 16.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow cos 2)))) into 0 16.258 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 16.259 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 (pow cos 2)))) into 0 16.259 * [taylor]: Taking taylor expansion of 0 in cos 16.259 * [backup-simplify]: Simplify 0 into 0 16.259 * [taylor]: Taking taylor expansion of 0 in x 16.259 * [backup-simplify]: Simplify 0 into 0 16.259 * [backup-simplify]: Simplify 0 into 0 16.259 * [taylor]: Taking taylor expansion of 0 in x 16.259 * [backup-simplify]: Simplify 0 into 0 16.259 * [backup-simplify]: Simplify 0 into 0 16.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.261 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 16.261 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 1))) into 0 16.261 * [taylor]: Taking taylor expansion of 0 in x 16.261 * [backup-simplify]: Simplify 0 into 0 16.261 * [backup-simplify]: Simplify 0 into 0 16.261 * [backup-simplify]: Simplify (* 1 (pow (* x (* cos sin)) 2)) into (* (pow x 2) (* (pow cos 2) (pow sin 2))) 16.262 * [backup-simplify]: Simplify (* (* (/ 1 sin) (* (/ 1 cos) (/ 1 x))) (* (/ 1 sin) (* (/ 1 cos) (/ 1 x)))) into (/ 1 (* (pow x 2) (* (pow sin 2) (pow cos 2)))) 16.262 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (* (pow sin 2) (pow cos 2)))) in (sin cos x) around 0 16.262 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (* (pow sin 2) (pow cos 2)))) in x 16.262 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (pow cos 2))) in x 16.262 * [taylor]: Taking taylor expansion of (pow x 2) in x 16.262 * [taylor]: Taking taylor expansion of x in x 16.262 * [backup-simplify]: Simplify 0 into 0 16.262 * [backup-simplify]: Simplify 1 into 1 16.262 * [taylor]: Taking taylor expansion of (* (pow sin 2) (pow cos 2)) in x 16.262 * [taylor]: Taking taylor expansion of (pow sin 2) in x 16.262 * [taylor]: Taking taylor expansion of sin in x 16.262 * [backup-simplify]: Simplify sin into sin 16.262 * [taylor]: Taking taylor expansion of (pow cos 2) in x 16.262 * [taylor]: Taking taylor expansion of cos in x 16.262 * [backup-simplify]: Simplify cos into cos 16.262 * [backup-simplify]: Simplify (* 1 1) into 1 16.263 * [backup-simplify]: Simplify (* sin sin) into (pow sin 2) 16.263 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 16.263 * [backup-simplify]: Simplify (* (pow sin 2) (pow cos 2)) into (* (pow sin 2) (pow cos 2)) 16.263 * [backup-simplify]: Simplify (* 1 (* (pow sin 2) (pow cos 2))) into (* (pow sin 2) (pow cos 2)) 16.263 * [backup-simplify]: Simplify (/ 1 (* (pow sin 2) (pow cos 2))) into (/ 1 (* (pow sin 2) (pow cos 2))) 16.263 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (* (pow sin 2) (pow cos 2)))) in cos 16.263 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (pow cos 2))) in cos 16.263 * [taylor]: Taking taylor expansion of (pow x 2) in cos 16.263 * [taylor]: Taking taylor expansion of x in cos 16.263 * [backup-simplify]: Simplify x into x 16.263 * [taylor]: Taking taylor expansion of (* (pow sin 2) (pow cos 2)) in cos 16.263 * [taylor]: Taking taylor expansion of (pow sin 2) in cos 16.263 * [taylor]: Taking taylor expansion of sin in cos 16.263 * [backup-simplify]: Simplify sin into sin 16.263 * [taylor]: Taking taylor expansion of (pow cos 2) in cos 16.263 * [taylor]: Taking taylor expansion of cos in cos 16.263 * [backup-simplify]: Simplify 0 into 0 16.263 * [backup-simplify]: Simplify 1 into 1 16.263 * [backup-simplify]: Simplify (* x x) into (pow x 2) 16.263 * [backup-simplify]: Simplify (* sin sin) into (pow sin 2) 16.264 * [backup-simplify]: Simplify (* 1 1) into 1 16.264 * [backup-simplify]: Simplify (* (pow sin 2) 1) into (pow sin 2) 16.264 * [backup-simplify]: Simplify (* (pow x 2) (pow sin 2)) into (* (pow x 2) (pow sin 2)) 16.264 * [backup-simplify]: Simplify (/ 1 (* (pow x 2) (pow sin 2))) into (/ 1 (* (pow x 2) (pow sin 2))) 16.264 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (* (pow sin 2) (pow cos 2)))) in sin 16.264 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (pow cos 2))) in sin 16.264 * [taylor]: Taking taylor expansion of (pow x 2) in sin 16.264 * [taylor]: Taking taylor expansion of x in sin 16.264 * [backup-simplify]: Simplify x into x 16.264 * [taylor]: Taking taylor expansion of (* (pow sin 2) (pow cos 2)) in sin 16.264 * [taylor]: Taking taylor expansion of (pow sin 2) in sin 16.264 * [taylor]: Taking taylor expansion of sin in sin 16.264 * [backup-simplify]: Simplify 0 into 0 16.264 * [backup-simplify]: Simplify 1 into 1 16.264 * [taylor]: Taking taylor expansion of (pow cos 2) in sin 16.264 * [taylor]: Taking taylor expansion of cos in sin 16.264 * [backup-simplify]: Simplify cos into cos 16.265 * [backup-simplify]: Simplify (* x x) into (pow x 2) 16.265 * [backup-simplify]: Simplify (* 1 1) into 1 16.265 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 16.265 * [backup-simplify]: Simplify (* 1 (pow cos 2)) into (pow cos 2) 16.265 * [backup-simplify]: Simplify (* (pow x 2) (pow cos 2)) into (* (pow x 2) (pow cos 2)) 16.265 * [backup-simplify]: Simplify (/ 1 (* (pow x 2) (pow cos 2))) into (/ 1 (* (pow x 2) (pow cos 2))) 16.265 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (* (pow sin 2) (pow cos 2)))) in sin 16.265 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (pow cos 2))) in sin 16.265 * [taylor]: Taking taylor expansion of (pow x 2) in sin 16.265 * [taylor]: Taking taylor expansion of x in sin 16.265 * [backup-simplify]: Simplify x into x 16.265 * [taylor]: Taking taylor expansion of (* (pow sin 2) (pow cos 2)) in sin 16.265 * [taylor]: Taking taylor expansion of (pow sin 2) in sin 16.265 * [taylor]: Taking taylor expansion of sin in sin 16.266 * [backup-simplify]: Simplify 0 into 0 16.266 * [backup-simplify]: Simplify 1 into 1 16.266 * [taylor]: Taking taylor expansion of (pow cos 2) in sin 16.266 * [taylor]: Taking taylor expansion of cos in sin 16.266 * [backup-simplify]: Simplify cos into cos 16.266 * [backup-simplify]: Simplify (* x x) into (pow x 2) 16.266 * [backup-simplify]: Simplify (* 1 1) into 1 16.266 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 16.266 * [backup-simplify]: Simplify (* 1 (pow cos 2)) into (pow cos 2) 16.266 * [backup-simplify]: Simplify (* (pow x 2) (pow cos 2)) into (* (pow x 2) (pow cos 2)) 16.266 * [backup-simplify]: Simplify (/ 1 (* (pow x 2) (pow cos 2))) into (/ 1 (* (pow x 2) (pow cos 2))) 16.267 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow cos 2))) in cos 16.267 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow cos 2)) in cos 16.267 * [taylor]: Taking taylor expansion of (pow x 2) in cos 16.267 * [taylor]: Taking taylor expansion of x in cos 16.267 * [backup-simplify]: Simplify x into x 16.267 * [taylor]: Taking taylor expansion of (pow cos 2) in cos 16.267 * [taylor]: Taking taylor expansion of cos in cos 16.267 * [backup-simplify]: Simplify 0 into 0 16.267 * [backup-simplify]: Simplify 1 into 1 16.267 * [backup-simplify]: Simplify (* x x) into (pow x 2) 16.267 * [backup-simplify]: Simplify (* 1 1) into 1 16.267 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 16.267 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 16.267 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 16.267 * [taylor]: Taking taylor expansion of (pow x 2) in x 16.267 * [taylor]: Taking taylor expansion of x in x 16.267 * [backup-simplify]: Simplify 0 into 0 16.267 * [backup-simplify]: Simplify 1 into 1 16.268 * [backup-simplify]: Simplify (* 1 1) into 1 16.268 * [backup-simplify]: Simplify (/ 1 1) into 1 16.268 * [backup-simplify]: Simplify 1 into 1 16.268 * [backup-simplify]: Simplify (+ (* cos 0) (* 0 cos)) into 0 16.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow cos 2))) into 0 16.269 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 16.270 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow cos 2))) into 0 16.270 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow x 2) (pow cos 2))) (/ 0 (* (pow x 2) (pow cos 2)))))) into 0 16.270 * [taylor]: Taking taylor expansion of 0 in cos 16.270 * [backup-simplify]: Simplify 0 into 0 16.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.271 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 16.271 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0 16.271 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 16.271 * [taylor]: Taking taylor expansion of 0 in x 16.271 * [backup-simplify]: Simplify 0 into 0 16.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.273 * [backup-simplify]: Simplify 0 into 0 16.273 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (* 0 cos))) into 0 16.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow cos 2)))) into 0 16.275 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 16.276 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 (pow cos 2)))) into 0 16.276 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow x 2) (pow cos 2))) (/ 0 (* (pow x 2) (pow cos 2)))) (* 0 (/ 0 (* (pow x 2) (pow cos 2)))))) into 0 16.276 * [taylor]: Taking taylor expansion of 0 in cos 16.276 * [backup-simplify]: Simplify 0 into 0 16.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.278 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 16.279 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 1))) into 0 16.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 16.279 * [taylor]: Taking taylor expansion of 0 in x 16.279 * [backup-simplify]: Simplify 0 into 0 16.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.281 * [backup-simplify]: Simplify 0 into 0 16.282 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos)))) into 0 16.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow cos 2))))) into 0 16.285 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 16.285 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow cos 2))))) into 0 16.286 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow x 2) (pow cos 2))) (/ 0 (* (pow x 2) (pow cos 2)))) (* 0 (/ 0 (* (pow x 2) (pow cos 2)))) (* 0 (/ 0 (* (pow x 2) (pow cos 2)))))) into 0 16.286 * [taylor]: Taking taylor expansion of 0 in cos 16.286 * [backup-simplify]: Simplify 0 into 0 16.286 * [taylor]: Taking taylor expansion of 0 in x 16.286 * [backup-simplify]: Simplify 0 into 0 16.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.288 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 16.289 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.289 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 16.289 * [taylor]: Taking taylor expansion of 0 in x 16.289 * [backup-simplify]: Simplify 0 into 0 16.289 * [backup-simplify]: Simplify 0 into 0 16.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.291 * [backup-simplify]: Simplify 0 into 0 16.292 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))) into 0 16.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 16.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow cos 2)))))) into 0 16.296 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 16.297 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow cos 2)))))) into 0 16.298 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow x 2) (pow cos 2))) (/ 0 (* (pow x 2) (pow cos 2)))) (* 0 (/ 0 (* (pow x 2) (pow cos 2)))) (* 0 (/ 0 (* (pow x 2) (pow cos 2)))) (* 0 (/ 0 (* (pow x 2) (pow cos 2)))))) into 0 16.298 * [taylor]: Taking taylor expansion of 0 in cos 16.298 * [backup-simplify]: Simplify 0 into 0 16.298 * [taylor]: Taking taylor expansion of 0 in x 16.298 * [backup-simplify]: Simplify 0 into 0 16.298 * [taylor]: Taking taylor expansion of 0 in x 16.298 * [backup-simplify]: Simplify 0 into 0 16.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 16.300 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 16.301 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 16.302 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 16.302 * [taylor]: Taking taylor expansion of 0 in x 16.302 * [backup-simplify]: Simplify 0 into 0 16.302 * [backup-simplify]: Simplify 0 into 0 16.302 * [backup-simplify]: Simplify 0 into 0 16.302 * [backup-simplify]: Simplify (* 1 (pow (* (/ 1 (/ 1 x)) (* (/ 1 (/ 1 cos)) (/ 1 (/ 1 sin)))) 2)) into (* (pow x 2) (* (pow cos 2) (pow sin 2))) 16.303 * [backup-simplify]: Simplify (* (* (/ 1 (- sin)) (* (/ 1 (- cos)) (/ 1 (- x)))) (* (/ 1 (- sin)) (* (/ 1 (- cos)) (/ 1 (- x))))) into (/ 1 (* (pow x 2) (* (pow sin 2) (pow cos 2)))) 16.303 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (* (pow sin 2) (pow cos 2)))) in (sin cos x) around 0 16.303 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (* (pow sin 2) (pow cos 2)))) in x 16.303 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (pow cos 2))) in x 16.303 * [taylor]: Taking taylor expansion of (pow x 2) in x 16.303 * [taylor]: Taking taylor expansion of x in x 16.303 * [backup-simplify]: Simplify 0 into 0 16.303 * [backup-simplify]: Simplify 1 into 1 16.303 * [taylor]: Taking taylor expansion of (* (pow sin 2) (pow cos 2)) in x 16.303 * [taylor]: Taking taylor expansion of (pow sin 2) in x 16.303 * [taylor]: Taking taylor expansion of sin in x 16.303 * [backup-simplify]: Simplify sin into sin 16.303 * [taylor]: Taking taylor expansion of (pow cos 2) in x 16.303 * [taylor]: Taking taylor expansion of cos in x 16.303 * [backup-simplify]: Simplify cos into cos 16.303 * [backup-simplify]: Simplify (* 1 1) into 1 16.303 * [backup-simplify]: Simplify (* sin sin) into (pow sin 2) 16.304 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 16.304 * [backup-simplify]: Simplify (* (pow sin 2) (pow cos 2)) into (* (pow sin 2) (pow cos 2)) 16.304 * [backup-simplify]: Simplify (* 1 (* (pow sin 2) (pow cos 2))) into (* (pow sin 2) (pow cos 2)) 16.304 * [backup-simplify]: Simplify (/ 1 (* (pow sin 2) (pow cos 2))) into (/ 1 (* (pow sin 2) (pow cos 2))) 16.304 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (* (pow sin 2) (pow cos 2)))) in cos 16.304 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (pow cos 2))) in cos 16.304 * [taylor]: Taking taylor expansion of (pow x 2) in cos 16.304 * [taylor]: Taking taylor expansion of x in cos 16.304 * [backup-simplify]: Simplify x into x 16.304 * [taylor]: Taking taylor expansion of (* (pow sin 2) (pow cos 2)) in cos 16.304 * [taylor]: Taking taylor expansion of (pow sin 2) in cos 16.304 * [taylor]: Taking taylor expansion of sin in cos 16.304 * [backup-simplify]: Simplify sin into sin 16.304 * [taylor]: Taking taylor expansion of (pow cos 2) in cos 16.304 * [taylor]: Taking taylor expansion of cos in cos 16.304 * [backup-simplify]: Simplify 0 into 0 16.304 * [backup-simplify]: Simplify 1 into 1 16.304 * [backup-simplify]: Simplify (* x x) into (pow x 2) 16.304 * [backup-simplify]: Simplify (* sin sin) into (pow sin 2) 16.305 * [backup-simplify]: Simplify (* 1 1) into 1 16.305 * [backup-simplify]: Simplify (* (pow sin 2) 1) into (pow sin 2) 16.305 * [backup-simplify]: Simplify (* (pow x 2) (pow sin 2)) into (* (pow x 2) (pow sin 2)) 16.305 * [backup-simplify]: Simplify (/ 1 (* (pow x 2) (pow sin 2))) into (/ 1 (* (pow x 2) (pow sin 2))) 16.305 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (* (pow sin 2) (pow cos 2)))) in sin 16.305 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (pow cos 2))) in sin 16.305 * [taylor]: Taking taylor expansion of (pow x 2) in sin 16.305 * [taylor]: Taking taylor expansion of x in sin 16.305 * [backup-simplify]: Simplify x into x 16.306 * [taylor]: Taking taylor expansion of (* (pow sin 2) (pow cos 2)) in sin 16.306 * [taylor]: Taking taylor expansion of (pow sin 2) in sin 16.306 * [taylor]: Taking taylor expansion of sin in sin 16.306 * [backup-simplify]: Simplify 0 into 0 16.306 * [backup-simplify]: Simplify 1 into 1 16.306 * [taylor]: Taking taylor expansion of (pow cos 2) in sin 16.306 * [taylor]: Taking taylor expansion of cos in sin 16.306 * [backup-simplify]: Simplify cos into cos 16.306 * [backup-simplify]: Simplify (* x x) into (pow x 2) 16.306 * [backup-simplify]: Simplify (* 1 1) into 1 16.306 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 16.306 * [backup-simplify]: Simplify (* 1 (pow cos 2)) into (pow cos 2) 16.307 * [backup-simplify]: Simplify (* (pow x 2) (pow cos 2)) into (* (pow x 2) (pow cos 2)) 16.307 * [backup-simplify]: Simplify (/ 1 (* (pow x 2) (pow cos 2))) into (/ 1 (* (pow x 2) (pow cos 2))) 16.307 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (* (pow sin 2) (pow cos 2)))) in sin 16.307 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow sin 2) (pow cos 2))) in sin 16.307 * [taylor]: Taking taylor expansion of (pow x 2) in sin 16.307 * [taylor]: Taking taylor expansion of x in sin 16.307 * [backup-simplify]: Simplify x into x 16.307 * [taylor]: Taking taylor expansion of (* (pow sin 2) (pow cos 2)) in sin 16.307 * [taylor]: Taking taylor expansion of (pow sin 2) in sin 16.307 * [taylor]: Taking taylor expansion of sin in sin 16.307 * [backup-simplify]: Simplify 0 into 0 16.307 * [backup-simplify]: Simplify 1 into 1 16.307 * [taylor]: Taking taylor expansion of (pow cos 2) in sin 16.307 * [taylor]: Taking taylor expansion of cos in sin 16.307 * [backup-simplify]: Simplify cos into cos 16.307 * [backup-simplify]: Simplify (* x x) into (pow x 2) 16.308 * [backup-simplify]: Simplify (* 1 1) into 1 16.308 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 16.308 * [backup-simplify]: Simplify (* 1 (pow cos 2)) into (pow cos 2) 16.308 * [backup-simplify]: Simplify (* (pow x 2) (pow cos 2)) into (* (pow x 2) (pow cos 2)) 16.308 * [backup-simplify]: Simplify (/ 1 (* (pow x 2) (pow cos 2))) into (/ 1 (* (pow x 2) (pow cos 2))) 16.308 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow cos 2))) in cos 16.308 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow cos 2)) in cos 16.308 * [taylor]: Taking taylor expansion of (pow x 2) in cos 16.308 * [taylor]: Taking taylor expansion of x in cos 16.308 * [backup-simplify]: Simplify x into x 16.308 * [taylor]: Taking taylor expansion of (pow cos 2) in cos 16.308 * [taylor]: Taking taylor expansion of cos in cos 16.308 * [backup-simplify]: Simplify 0 into 0 16.308 * [backup-simplify]: Simplify 1 into 1 16.309 * [backup-simplify]: Simplify (* x x) into (pow x 2) 16.309 * [backup-simplify]: Simplify (* 1 1) into 1 16.309 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 16.309 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 16.309 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 16.309 * [taylor]: Taking taylor expansion of (pow x 2) in x 16.309 * [taylor]: Taking taylor expansion of x in x 16.309 * [backup-simplify]: Simplify 0 into 0 16.309 * [backup-simplify]: Simplify 1 into 1 16.310 * [backup-simplify]: Simplify (* 1 1) into 1 16.310 * [backup-simplify]: Simplify (/ 1 1) into 1 16.310 * [backup-simplify]: Simplify 1 into 1 16.310 * [backup-simplify]: Simplify (+ (* cos 0) (* 0 cos)) into 0 16.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow cos 2))) into 0 16.312 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 16.312 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow cos 2))) into 0 16.312 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow x 2) (pow cos 2))) (/ 0 (* (pow x 2) (pow cos 2)))))) into 0 16.312 * [taylor]: Taking taylor expansion of 0 in cos 16.312 * [backup-simplify]: Simplify 0 into 0 16.313 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.313 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 16.313 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0 16.314 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 16.314 * [taylor]: Taking taylor expansion of 0 in x 16.314 * [backup-simplify]: Simplify 0 into 0 16.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.315 * [backup-simplify]: Simplify 0 into 0 16.316 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (* 0 cos))) into 0 16.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow cos 2)))) into 0 16.318 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 16.318 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 (pow cos 2)))) into 0 16.319 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow x 2) (pow cos 2))) (/ 0 (* (pow x 2) (pow cos 2)))) (* 0 (/ 0 (* (pow x 2) (pow cos 2)))))) into 0 16.319 * [taylor]: Taking taylor expansion of 0 in cos 16.319 * [backup-simplify]: Simplify 0 into 0 16.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.320 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 16.321 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 1))) into 0 16.321 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 16.321 * [taylor]: Taking taylor expansion of 0 in x 16.321 * [backup-simplify]: Simplify 0 into 0 16.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.323 * [backup-simplify]: Simplify 0 into 0 16.324 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos)))) into 0 16.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow cos 2))))) into 0 16.327 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 16.328 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow cos 2))))) into 0 16.329 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow x 2) (pow cos 2))) (/ 0 (* (pow x 2) (pow cos 2)))) (* 0 (/ 0 (* (pow x 2) (pow cos 2)))) (* 0 (/ 0 (* (pow x 2) (pow cos 2)))))) into 0 16.329 * [taylor]: Taking taylor expansion of 0 in cos 16.329 * [backup-simplify]: Simplify 0 into 0 16.329 * [taylor]: Taking taylor expansion of 0 in x 16.329 * [backup-simplify]: Simplify 0 into 0 16.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.331 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 16.332 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.332 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 16.332 * [taylor]: Taking taylor expansion of 0 in x 16.332 * [backup-simplify]: Simplify 0 into 0 16.332 * [backup-simplify]: Simplify 0 into 0 16.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.335 * [backup-simplify]: Simplify 0 into 0 16.336 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))) into 0 16.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 16.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow cos 2)))))) into 0 16.340 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 16.341 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow cos 2)))))) into 0 16.342 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow x 2) (pow cos 2))) (/ 0 (* (pow x 2) (pow cos 2)))) (* 0 (/ 0 (* (pow x 2) (pow cos 2)))) (* 0 (/ 0 (* (pow x 2) (pow cos 2)))) (* 0 (/ 0 (* (pow x 2) (pow cos 2)))))) into 0 16.342 * [taylor]: Taking taylor expansion of 0 in cos 16.342 * [backup-simplify]: Simplify 0 into 0 16.342 * [taylor]: Taking taylor expansion of 0 in x 16.342 * [backup-simplify]: Simplify 0 into 0 16.342 * [taylor]: Taking taylor expansion of 0 in x 16.342 * [backup-simplify]: Simplify 0 into 0 16.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 16.344 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 16.345 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 16.346 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 16.346 * [taylor]: Taking taylor expansion of 0 in x 16.346 * [backup-simplify]: Simplify 0 into 0 16.346 * [backup-simplify]: Simplify 0 into 0 16.346 * [backup-simplify]: Simplify 0 into 0 16.346 * [backup-simplify]: Simplify (* 1 (pow (* (/ 1 (/ 1 (- x))) (* (/ 1 (/ 1 (- cos))) (/ 1 (/ 1 (- sin))))) 2)) into (* (pow x 2) (* (pow cos 2) (pow sin 2))) 16.347 * * * [progress]: simplifying candidates 16.347 * * * * [progress]: [ 1 / 204 ] simplifiying candidate # 16.347 * * * * [progress]: [ 2 / 204 ] simplifiying candidate # 16.347 * * * * [progress]: [ 3 / 204 ] simplifiying candidate # 16.347 * * * * [progress]: [ 4 / 204 ] simplifiying candidate # 16.347 * * * * [progress]: [ 5 / 204 ] simplifiying candidate # 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simplifiying candidate # 16.360 * * * * [progress]: [ 204 / 204 ] simplifiying candidate # 16.364 * [simplify]: Simplifying: (expm1 (* sin (* cos x))) (log1p (* sin (* cos x))) (* sin (* cos x)) (* sin (* cos x)) (+ (log sin) (+ (log cos) (log x))) (+ (log sin) (log (* cos x))) (log (* sin (* cos x))) (exp (* sin (* cos x))) (* (* (* sin sin) sin) (* (* (* cos cos) cos) (* (* x x) x))) (* (* (* sin sin) sin) (* (* (* cos x) (* cos x)) (* cos x))) (* (cbrt (* sin (* cos x))) (cbrt (* sin (* cos x)))) (cbrt (* sin (* cos x))) (* (* (* sin (* cos x)) (* sin (* cos x))) (* sin (* cos x))) (sqrt (* sin (* cos x))) (sqrt (* sin (* cos x))) (* sin cos) (* (cbrt sin) (* cos x)) (* (sqrt sin) (* cos x)) (* sin (* cos x)) (expm1 (* sin (* cos x))) (log1p (* sin (* cos x))) (* sin (* cos x)) (* sin (* cos x)) (+ (log sin) (+ (log cos) (log x))) (+ (log sin) (log (* cos x))) (log (* sin (* cos x))) (exp (* sin (* cos x))) (* (* (* sin sin) sin) (* (* (* cos cos) cos) (* (* x x) x))) (* (* (* sin 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sin) (* (* x cos) sin)) (cos (* 2 x))))) (/ 1 (sqrt (/ (* (* (* x cos) sin) (* (* x cos) sin)) (cos (* 2 x))))) (* (/ (* 1 (cbrt (cos (* 2 x)))) (* (* x cos) sin)) (cbrt (cos (* 2 x)))) (/ (* 1 (cbrt (cos (* 2 x)))) (* (* x cos) sin)) (* (sqrt (cos (* 2 x))) (/ 1 (* (* x cos) sin))) (* (sqrt (cos (* 2 x))) (/ 1 (* (* x cos) sin))) (/ 1 (* (* x cos) sin)) (/ (cos (* 2 x)) (* (* x cos) sin)) 1 (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin))) (/ (/ 1 (* (* x cos) sin)) (* (* x cos) sin)) (cos (* 2 x)) (/ 1 (* (cbrt (/ (* (* (* x cos) sin) (* (* x cos) sin)) (cos (* 2 x)))) (cbrt (/ (* (* (* x cos) sin) (* (* x cos) sin)) (cos (* 2 x)))))) (/ 1 (cbrt (/ (* (* (* x cos) sin) (* (* x cos) sin)) (cos (* 2 x))))) (/ 1 (sqrt (/ (* (* (* x cos) sin) (* (* x cos) sin)) (cos (* 2 x))))) (/ 1 (sqrt (/ (* (* (* x cos) sin) (* (* x cos) sin)) (cos (* 2 x))))) (* (/ (* 1 (cbrt (cos (* 2 x)))) (* (* x cos) sin)) (cbrt (cos (* 2 x)))) (/ (* 1 (cbrt (cos (* 2 x)))) (* (* x cos) sin)) (* (sqrt (cos (* 2 x))) (/ 1 (* (* x cos) sin))) (* (sqrt (cos (* 2 x))) (/ 1 (* (* x cos) sin))) (/ (/ 1 (* x cos)) sin) (/ (cos (* 2 x)) (* (* x cos) sin)) 1 (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin))) (/ (/ 1 (* (* x cos) sin)) (* (* x cos) sin)) (cos (* 2 x)) (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin))) (/ (* (* (* x cos) sin) (* (* x cos) sin)) (cos (* 2 x))) (/ 1 (* (cbrt (/ (* (* (* x cos) sin) (* (* x cos) sin)) (cos (* 2 x)))) (cbrt (/ (* (* (* x cos) sin) (* (* x cos) sin)) (cos (* 2 x)))))) (/ 1 (sqrt (/ (* (* (* x cos) sin) (* (* x cos) sin)) (cos (* 2 x))))) (* (/ (* 1 (cbrt (cos (* 2 x)))) (* (* x cos) sin)) (cbrt (cos (* 2 x)))) (* (sqrt (cos (* 2 x))) (/ 1 (* (* x cos) sin))) (/ (/ 1 (* x cos)) sin) 1 (/ (/ 1 (* (* x cos) sin)) (* (* x cos) sin)) (/ (* (* (* x cos) sin) (* (* x cos) sin)) (cos (* 2 x))) (/ (* (* (* x cos) sin) (* (* x cos) sin)) (cos (* 2 x))) (/ (* (* (* x cos) sin) (* (* x cos) sin)) (cos (* 2 x))) (/ (/ 1 (* (* x cos) sin)) (* (* x cos) sin)) (expm1 (* (* (* x cos) sin) (* (* x cos) sin))) (log1p (* (* (* x cos) sin) (* (* x cos) sin))) 2 2 2 2 2 2 2 2 2 (* (* (* x cos) sin) (* (* x cos) sin)) (* (* (* x cos) sin) (* (* x cos) sin)) (* (* (* x cos) sin) (* (* x cos) sin)) (* (* (* x cos) sin) (* (* x cos) sin)) (* (* (* x cos) sin) (* (* x cos) sin)) (* (* (* x cos) sin) (* (* x cos) sin)) (* (* (* x cos) sin) (* (* x cos) sin)) (* (* (* x cos) sin) (* (* x cos) sin)) (* (* (* x cos) sin) (* (* x cos) sin)) 2 2 2 (log (* (* (* x cos) sin) (* (* x cos) sin))) (log (* (* (* x cos) sin) (* (* x cos) sin))) (log (* (* (* x cos) sin) (* (* x cos) sin))) (log (* (* (* x cos) sin) (* (* x cos) sin))) (log (* (* (* x cos) sin) (* (* x cos) sin))) (log (* (* (* x cos) sin) (* (* x cos) sin))) (log (* (* (* x cos) sin) (* (* x cos) sin))) (log (* (* (* x cos) sin) (* (* x cos) sin))) (log (* (* (* x cos) sin) (* (* x cos) sin))) (log (* (* (* x cos) sin) (* (* x cos) sin))) (exp (* (* (* x cos) sin) (* (* x cos) sin))) (* (* (* x cos) (* sin (* (* (* x cos) sin) (* (* x cos) sin)))) (* (* x cos) (* sin (* (* (* x cos) sin) (* (* x cos) sin))))) (* (* (* x cos) (* sin (* (* (* x cos) sin) (* (* x cos) sin)))) (* (* x cos) (* sin (* (* (* x cos) sin) (* (* x cos) sin))))) (* (* (* sin (* (* (* x cos) sin) (* (* x cos) sin))) (* (* x cos) (* (* (* x cos) sin) (* (* x cos) sin)))) (* (* x cos) sin)) (* (* (* x cos) (* sin (* (* (* x cos) sin) (* (* x cos) sin)))) (* (* x cos) (* sin (* (* (* x cos) sin) (* (* x cos) sin))))) (* (* (* x cos) (* sin (* (* (* x cos) sin) (* (* x cos) sin)))) (* (* x cos) (* sin (* (* (* x cos) sin) (* (* x cos) sin))))) (* (* (* sin (* (* (* x cos) sin) (* (* x cos) sin))) (* (* x cos) (* (* (* x cos) sin) (* (* x cos) sin)))) (* (* x cos) sin)) (* (* (* sin (* (* (* x cos) sin) (* (* x cos) sin))) (* (* x cos) (* (* (* x cos) sin) (* (* x cos) sin)))) (* (* x cos) sin)) (* (* (* sin (* (* (* x cos) sin) (* (* x cos) sin))) (* (* x cos) (* (* (* x cos) sin) (* (* x cos) sin)))) (* (* x cos) sin)) (* (* (* (* (* x cos) sin) (* (* x cos) sin)) (* (* (* x cos) sin) (* (* x cos) sin))) (* (* (* x cos) sin) (* (* x cos) sin))) (* (cbrt (* (* (* x cos) sin) (* (* x cos) sin))) (cbrt (* (* (* x cos) sin) (* (* x cos) sin)))) (cbrt (* (* (* x cos) sin) (* (* x cos) sin))) (* (* (* (* (* x cos) sin) (* (* x cos) sin)) (* (* (* x cos) sin) (* (* x cos) sin))) (* (* (* x cos) sin) (* (* x cos) sin))) (fabs (* (* x cos) sin)) (fabs (* (* x cos) sin)) (* sin sin) (* (* x cos) (* x cos)) 2 2 2 2 2 2 2 2 2 (* (* sin sin) (* x cos)) (* (* (* x cos) sin) (* x cos)) 0 (* (* x cos) sin) (* (* x cos) sin) 0 (* (* x cos) sin) (* (* x cos) sin) (fma (/ 1 (* (* x cos) sin)) (/ 1 (* (* x cos) sin)) (fma 2/3 (/ (* x x) (* (* cos sin) (* cos sin))) (/ -2 (* (* cos sin) (* cos sin))))) (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin))) (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin))) (* (* (* x cos) sin) (* (* x cos) sin)) (* (* (* x cos) sin) (* (* x cos) sin)) (* (* (* x cos) sin) (* (* x cos) sin)) 17.706 * * * [progress]: adding candidates to table 20.057 * * [progress]: iteration 4 / 4 20.057 * * * [progress]: picking best candidate 20.114 * * * * [pick]: Picked # 20.114 * * * [progress]: localizing error 20.158 * * * [progress]: generating rewritten candidates 20.158 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 20.185 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 20.206 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 20.314 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 20.398 * * * [progress]: generating series expansions 20.398 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 20.398 * [backup-simplify]: Simplify (* (* x cos) sin) into (* x (* cos sin)) 20.398 * [approximate]: Taking taylor expansion of (* x (* cos sin)) in (x cos sin) around 0 20.398 * [taylor]: Taking taylor expansion of (* x (* cos sin)) in sin 20.398 * [taylor]: Taking taylor expansion of x in sin 20.398 * [backup-simplify]: Simplify x into x 20.398 * [taylor]: Taking taylor expansion of (* cos sin) in sin 20.398 * [taylor]: Taking taylor expansion of cos in sin 20.398 * [backup-simplify]: Simplify cos into cos 20.399 * [taylor]: Taking taylor expansion of sin in sin 20.399 * [backup-simplify]: Simplify 0 into 0 20.399 * [backup-simplify]: Simplify 1 into 1 20.399 * [taylor]: Taking taylor expansion of (* x (* cos sin)) in cos 20.399 * [taylor]: Taking taylor expansion of x in cos 20.399 * [backup-simplify]: Simplify x into x 20.399 * [taylor]: Taking taylor expansion of (* cos sin) in cos 20.399 * [taylor]: Taking taylor expansion of cos in cos 20.399 * [backup-simplify]: Simplify 0 into 0 20.399 * [backup-simplify]: Simplify 1 into 1 20.399 * [taylor]: Taking taylor expansion of sin in cos 20.399 * [backup-simplify]: Simplify sin into sin 20.399 * [taylor]: Taking taylor expansion of (* x (* cos sin)) in x 20.399 * [taylor]: Taking taylor expansion of x in x 20.399 * [backup-simplify]: Simplify 0 into 0 20.399 * [backup-simplify]: Simplify 1 into 1 20.399 * [taylor]: Taking taylor expansion of (* cos sin) in x 20.399 * [taylor]: Taking taylor expansion of cos in x 20.399 * [backup-simplify]: Simplify cos into cos 20.399 * [taylor]: Taking taylor expansion of sin in x 20.399 * [backup-simplify]: Simplify sin into sin 20.399 * [taylor]: Taking taylor expansion of (* x (* cos sin)) in x 20.399 * [taylor]: Taking taylor expansion of x in x 20.399 * [backup-simplify]: Simplify 0 into 0 20.399 * [backup-simplify]: Simplify 1 into 1 20.399 * [taylor]: Taking taylor expansion of (* cos sin) in x 20.399 * [taylor]: Taking taylor expansion of cos in x 20.399 * [backup-simplify]: Simplify cos into cos 20.399 * [taylor]: Taking taylor expansion of sin in x 20.399 * [backup-simplify]: Simplify sin into sin 20.399 * [backup-simplify]: Simplify (* cos sin) into (* cos sin) 20.399 * [backup-simplify]: Simplify (* 0 (* cos sin)) into 0 20.399 * [taylor]: Taking taylor expansion of 0 in cos 20.399 * [backup-simplify]: Simplify 0 into 0 20.399 * [taylor]: Taking taylor expansion of 0 in sin 20.399 * [backup-simplify]: Simplify 0 into 0 20.399 * [backup-simplify]: Simplify 0 into 0 20.399 * [backup-simplify]: Simplify (+ (* cos 0) (* 0 sin)) into 0 20.400 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* cos sin))) into (* cos sin) 20.400 * [taylor]: Taking taylor expansion of (* cos sin) in cos 20.400 * [taylor]: Taking taylor expansion of cos in cos 20.400 * [backup-simplify]: Simplify 0 into 0 20.400 * [backup-simplify]: Simplify 1 into 1 20.400 * [taylor]: Taking taylor expansion of sin in cos 20.400 * [backup-simplify]: Simplify sin into sin 20.400 * [backup-simplify]: Simplify (* 0 sin) into 0 20.400 * [taylor]: Taking taylor expansion of 0 in sin 20.400 * [backup-simplify]: Simplify 0 into 0 20.400 * [backup-simplify]: Simplify 0 into 0 20.400 * [taylor]: Taking taylor expansion of 0 in sin 20.400 * [backup-simplify]: Simplify 0 into 0 20.400 * [backup-simplify]: Simplify 0 into 0 20.400 * [backup-simplify]: Simplify 0 into 0 20.400 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (* 0 sin))) into 0 20.401 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* cos sin)))) into 0 20.401 * [taylor]: Taking taylor expansion of 0 in cos 20.401 * [backup-simplify]: Simplify 0 into 0 20.401 * [taylor]: Taking taylor expansion of 0 in sin 20.402 * [backup-simplify]: Simplify 0 into 0 20.402 * [backup-simplify]: Simplify 0 into 0 20.402 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 sin)) into sin 20.402 * [taylor]: Taking taylor expansion of sin in sin 20.402 * [backup-simplify]: Simplify 0 into 0 20.402 * [backup-simplify]: Simplify 1 into 1 20.402 * [backup-simplify]: Simplify 0 into 0 20.402 * [backup-simplify]: Simplify 0 into 0 20.402 * [backup-simplify]: Simplify (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) into (/ 1 (* x (* cos sin))) 20.402 * [approximate]: Taking taylor expansion of (/ 1 (* x (* cos sin))) in (x cos sin) around 0 20.402 * [taylor]: Taking taylor expansion of (/ 1 (* x (* cos sin))) in sin 20.402 * [taylor]: Taking taylor expansion of (* x (* cos sin)) in sin 20.402 * [taylor]: Taking taylor expansion of x in sin 20.402 * [backup-simplify]: Simplify x into x 20.403 * [taylor]: Taking taylor expansion of (* cos sin) in sin 20.403 * [taylor]: Taking taylor expansion of cos in sin 20.403 * [backup-simplify]: Simplify cos into cos 20.403 * [taylor]: Taking taylor expansion of sin in sin 20.403 * [backup-simplify]: Simplify 0 into 0 20.403 * [backup-simplify]: Simplify 1 into 1 20.403 * [backup-simplify]: Simplify (* cos 0) into 0 20.403 * [backup-simplify]: Simplify (* x 0) into 0 20.403 * [backup-simplify]: Simplify (+ (* cos 1) (* 0 0)) into cos 20.404 * [backup-simplify]: Simplify (+ (* x cos) (* 0 0)) into (* x cos) 20.404 * [backup-simplify]: Simplify (/ 1 (* x cos)) into (/ 1 (* x cos)) 20.404 * [taylor]: Taking taylor expansion of (/ 1 (* x (* cos sin))) in cos 20.404 * [taylor]: Taking taylor expansion of (* x (* cos sin)) in cos 20.404 * [taylor]: Taking taylor expansion of x in cos 20.404 * [backup-simplify]: Simplify x into x 20.404 * [taylor]: Taking taylor expansion of (* cos sin) in cos 20.404 * [taylor]: Taking taylor expansion of cos in cos 20.404 * [backup-simplify]: Simplify 0 into 0 20.404 * [backup-simplify]: Simplify 1 into 1 20.404 * [taylor]: Taking taylor expansion of sin in cos 20.404 * [backup-simplify]: Simplify sin into sin 20.404 * [backup-simplify]: Simplify (* 0 sin) into 0 20.404 * [backup-simplify]: Simplify (* x 0) into 0 20.404 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 sin)) into sin 20.405 * [backup-simplify]: Simplify (+ (* x sin) (* 0 0)) into (* x sin) 20.405 * [backup-simplify]: Simplify (/ 1 (* x sin)) into (/ 1 (* x sin)) 20.405 * [taylor]: Taking taylor expansion of (/ 1 (* x (* cos sin))) in x 20.405 * [taylor]: Taking taylor expansion of (* x (* cos sin)) in x 20.405 * [taylor]: Taking taylor expansion of x in x 20.405 * [backup-simplify]: Simplify 0 into 0 20.405 * [backup-simplify]: Simplify 1 into 1 20.405 * [taylor]: Taking taylor expansion of (* cos sin) in x 20.405 * [taylor]: Taking taylor expansion of cos in x 20.405 * [backup-simplify]: Simplify cos into cos 20.405 * [taylor]: Taking taylor expansion of sin in x 20.405 * [backup-simplify]: Simplify sin into sin 20.405 * [backup-simplify]: Simplify (* cos sin) into (* cos sin) 20.405 * [backup-simplify]: Simplify (* 0 (* cos sin)) into 0 20.405 * [backup-simplify]: Simplify (+ (* cos 0) (* 0 sin)) into 0 20.406 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* cos sin))) into (* cos sin) 20.406 * [backup-simplify]: Simplify (/ 1 (* cos sin)) into (/ 1 (* cos sin)) 20.406 * [taylor]: Taking taylor expansion of (/ 1 (* x (* cos sin))) in x 20.406 * [taylor]: Taking taylor expansion of (* x (* cos sin)) in x 20.406 * [taylor]: Taking taylor expansion of x in x 20.406 * [backup-simplify]: Simplify 0 into 0 20.406 * [backup-simplify]: Simplify 1 into 1 20.406 * [taylor]: Taking taylor expansion of (* cos sin) in x 20.406 * [taylor]: Taking taylor expansion of cos in x 20.406 * [backup-simplify]: Simplify cos into cos 20.406 * [taylor]: Taking taylor expansion of sin in x 20.406 * [backup-simplify]: Simplify sin into sin 20.406 * [backup-simplify]: Simplify (* cos sin) into (* cos sin) 20.406 * [backup-simplify]: Simplify (* 0 (* cos sin)) into 0 20.406 * [backup-simplify]: Simplify (+ (* cos 0) (* 0 sin)) into 0 20.407 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* cos sin))) into (* cos sin) 20.407 * [backup-simplify]: Simplify (/ 1 (* cos sin)) into (/ 1 (* cos sin)) 20.407 * [taylor]: Taking taylor expansion of (/ 1 (* cos sin)) in cos 20.407 * [taylor]: Taking taylor expansion of (* cos sin) in cos 20.407 * [taylor]: Taking taylor expansion of cos in cos 20.407 * [backup-simplify]: Simplify 0 into 0 20.407 * [backup-simplify]: Simplify 1 into 1 20.407 * [taylor]: Taking taylor expansion of sin in cos 20.407 * [backup-simplify]: Simplify sin into sin 20.407 * [backup-simplify]: Simplify (* 0 sin) into 0 20.408 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 sin)) into sin 20.408 * [backup-simplify]: Simplify (/ 1 sin) into (/ 1 sin) 20.408 * [taylor]: Taking taylor expansion of (/ 1 sin) in sin 20.408 * [taylor]: Taking taylor expansion of sin in sin 20.408 * [backup-simplify]: Simplify 0 into 0 20.408 * [backup-simplify]: Simplify 1 into 1 20.408 * [backup-simplify]: Simplify (/ 1 1) into 1 20.408 * [backup-simplify]: Simplify 1 into 1 20.409 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (* 0 sin))) into 0 20.410 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* cos sin)))) into 0 20.410 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* cos sin)) (/ 0 (* cos sin))))) into 0 20.410 * [taylor]: Taking taylor expansion of 0 in cos 20.410 * [backup-simplify]: Simplify 0 into 0 20.411 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 sin))) into 0 20.411 * [backup-simplify]: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 20.411 * [taylor]: Taking taylor expansion of 0 in sin 20.411 * [backup-simplify]: Simplify 0 into 0 20.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.412 * [backup-simplify]: Simplify 0 into 0 20.412 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin)))) into 0 20.414 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* cos sin))))) into 0 20.414 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* cos sin)) (/ 0 (* cos sin))) (* 0 (/ 0 (* cos sin))))) into 0 20.414 * [taylor]: Taking taylor expansion of 0 in cos 20.414 * [backup-simplify]: Simplify 0 into 0 20.414 * [taylor]: Taking taylor expansion of 0 in sin 20.414 * [backup-simplify]: Simplify 0 into 0 20.419 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 sin)))) into 0 20.420 * [backup-simplify]: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 20.420 * [taylor]: Taking taylor expansion of 0 in sin 20.420 * [backup-simplify]: Simplify 0 into 0 20.420 * [backup-simplify]: Simplify 0 into 0 20.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.421 * [backup-simplify]: Simplify 0 into 0 20.422 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 20.423 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* cos sin)))))) into 0 20.423 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* cos sin)) (/ 0 (* cos sin))) (* 0 (/ 0 (* cos sin))) (* 0 (/ 0 (* cos sin))))) into 0 20.424 * [taylor]: Taking taylor expansion of 0 in cos 20.424 * [backup-simplify]: Simplify 0 into 0 20.424 * [taylor]: Taking taylor expansion of 0 in sin 20.424 * [backup-simplify]: Simplify 0 into 0 20.424 * [taylor]: Taking taylor expansion of 0 in sin 20.424 * [backup-simplify]: Simplify 0 into 0 20.425 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 20.425 * [backup-simplify]: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 20.425 * [taylor]: Taking taylor expansion of 0 in sin 20.425 * [backup-simplify]: Simplify 0 into 0 20.425 * [backup-simplify]: Simplify 0 into 0 20.426 * [backup-simplify]: Simplify 0 into 0 20.426 * [backup-simplify]: Simplify 0 into 0 20.426 * [backup-simplify]: Simplify (* 1 (* (/ 1 (/ 1 sin)) (* (/ 1 (/ 1 cos)) (/ 1 (/ 1 x))))) into (* x (* sin cos)) 20.426 * [backup-simplify]: Simplify (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) into (/ -1 (* x (* cos sin))) 20.426 * [approximate]: Taking taylor expansion of (/ -1 (* x (* cos sin))) in (x cos sin) around 0 20.426 * [taylor]: Taking taylor expansion of (/ -1 (* x (* cos sin))) in sin 20.426 * [taylor]: Taking taylor expansion of -1 in sin 20.426 * [backup-simplify]: Simplify -1 into -1 20.426 * [taylor]: Taking taylor expansion of (* x (* cos sin)) in sin 20.426 * [taylor]: Taking taylor expansion of x in sin 20.426 * [backup-simplify]: Simplify x into x 20.426 * [taylor]: Taking taylor expansion of (* cos sin) in sin 20.426 * [taylor]: Taking taylor expansion of cos in sin 20.426 * [backup-simplify]: Simplify cos into cos 20.426 * [taylor]: Taking taylor expansion of sin in sin 20.426 * [backup-simplify]: Simplify 0 into 0 20.426 * [backup-simplify]: Simplify 1 into 1 20.426 * [backup-simplify]: Simplify (* cos 0) into 0 20.426 * [backup-simplify]: Simplify (* x 0) into 0 20.427 * [backup-simplify]: Simplify (+ (* cos 1) (* 0 0)) into cos 20.427 * [backup-simplify]: Simplify (+ (* x cos) (* 0 0)) into (* x cos) 20.427 * [backup-simplify]: Simplify (/ -1 (* x cos)) into (/ -1 (* x cos)) 20.427 * [taylor]: Taking taylor expansion of (/ -1 (* x (* cos sin))) in cos 20.427 * [taylor]: Taking taylor expansion of -1 in cos 20.427 * [backup-simplify]: Simplify -1 into -1 20.427 * [taylor]: Taking taylor expansion of (* x (* cos sin)) in cos 20.427 * [taylor]: Taking taylor expansion of x in cos 20.427 * [backup-simplify]: Simplify x into x 20.427 * [taylor]: Taking taylor expansion of (* cos sin) in cos 20.427 * [taylor]: Taking taylor expansion of cos in cos 20.427 * [backup-simplify]: Simplify 0 into 0 20.428 * [backup-simplify]: Simplify 1 into 1 20.428 * [taylor]: Taking taylor expansion of sin in cos 20.428 * [backup-simplify]: Simplify sin into sin 20.428 * [backup-simplify]: Simplify (* 0 sin) into 0 20.428 * [backup-simplify]: Simplify (* x 0) into 0 20.428 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 sin)) into sin 20.428 * [backup-simplify]: Simplify (+ (* x sin) (* 0 0)) into (* x sin) 20.429 * [backup-simplify]: Simplify (/ -1 (* x sin)) into (/ -1 (* x sin)) 20.429 * [taylor]: Taking taylor expansion of (/ -1 (* x (* cos sin))) in x 20.429 * [taylor]: Taking taylor expansion of -1 in x 20.429 * [backup-simplify]: Simplify -1 into -1 20.429 * [taylor]: Taking taylor expansion of (* x (* cos sin)) in x 20.429 * [taylor]: Taking taylor expansion of x in x 20.429 * [backup-simplify]: Simplify 0 into 0 20.429 * [backup-simplify]: Simplify 1 into 1 20.429 * [taylor]: Taking taylor expansion of (* cos sin) in x 20.429 * [taylor]: Taking taylor expansion of cos in x 20.429 * [backup-simplify]: Simplify cos into cos 20.429 * [taylor]: Taking taylor expansion of sin in x 20.429 * [backup-simplify]: Simplify sin into sin 20.429 * [backup-simplify]: Simplify (* cos sin) into (* cos sin) 20.429 * [backup-simplify]: Simplify (* 0 (* cos sin)) into 0 20.429 * [backup-simplify]: Simplify (+ (* cos 0) (* 0 sin)) into 0 20.429 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* cos sin))) into (* cos sin) 20.430 * [backup-simplify]: Simplify (/ -1 (* cos sin)) into (/ -1 (* cos sin)) 20.430 * [taylor]: Taking taylor expansion of (/ -1 (* x (* cos sin))) in x 20.430 * [taylor]: Taking taylor expansion of -1 in x 20.430 * [backup-simplify]: Simplify -1 into -1 20.430 * [taylor]: Taking taylor expansion of (* x (* cos sin)) in x 20.430 * [taylor]: Taking taylor expansion of x in x 20.430 * [backup-simplify]: Simplify 0 into 0 20.430 * [backup-simplify]: Simplify 1 into 1 20.430 * [taylor]: Taking taylor expansion of (* cos sin) in x 20.430 * [taylor]: Taking taylor expansion of cos in x 20.430 * [backup-simplify]: Simplify cos into cos 20.430 * [taylor]: Taking taylor expansion of sin in x 20.430 * [backup-simplify]: Simplify sin into sin 20.430 * [backup-simplify]: Simplify (* cos sin) into (* cos sin) 20.430 * [backup-simplify]: Simplify (* 0 (* cos sin)) into 0 20.430 * [backup-simplify]: Simplify (+ (* cos 0) (* 0 sin)) into 0 20.430 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* cos sin))) into (* cos sin) 20.431 * [backup-simplify]: Simplify (/ -1 (* cos sin)) into (/ -1 (* cos sin)) 20.431 * [taylor]: Taking taylor expansion of (/ -1 (* cos sin)) in cos 20.431 * [taylor]: Taking taylor expansion of -1 in cos 20.431 * [backup-simplify]: Simplify -1 into -1 20.431 * [taylor]: Taking taylor expansion of (* cos sin) in cos 20.431 * [taylor]: Taking taylor expansion of cos in cos 20.431 * [backup-simplify]: Simplify 0 into 0 20.431 * [backup-simplify]: Simplify 1 into 1 20.431 * [taylor]: Taking taylor expansion of sin in cos 20.431 * [backup-simplify]: Simplify sin into sin 20.431 * [backup-simplify]: Simplify (* 0 sin) into 0 20.431 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 sin)) into sin 20.431 * [backup-simplify]: Simplify (/ -1 sin) into (/ -1 sin) 20.431 * [taylor]: Taking taylor expansion of (/ -1 sin) in sin 20.431 * [taylor]: Taking taylor expansion of -1 in sin 20.431 * [backup-simplify]: Simplify -1 into -1 20.431 * [taylor]: Taking taylor expansion of sin in sin 20.431 * [backup-simplify]: Simplify 0 into 0 20.432 * [backup-simplify]: Simplify 1 into 1 20.432 * [backup-simplify]: Simplify (/ -1 1) into -1 20.432 * [backup-simplify]: Simplify -1 into -1 20.432 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (* 0 sin))) into 0 20.433 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* cos sin)))) into 0 20.434 * [backup-simplify]: Simplify (- (/ 0 (* cos sin)) (+ (* (/ -1 (* cos sin)) (/ 0 (* cos sin))))) into 0 20.434 * [taylor]: Taking taylor expansion of 0 in cos 20.434 * [backup-simplify]: Simplify 0 into 0 20.434 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 sin))) into 0 20.435 * [backup-simplify]: Simplify (- (/ 0 sin) (+ (* (/ -1 sin) (/ 0 sin)))) into 0 20.435 * [taylor]: Taking taylor expansion of 0 in sin 20.435 * [backup-simplify]: Simplify 0 into 0 20.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 20.436 * [backup-simplify]: Simplify 0 into 0 20.436 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin)))) into 0 20.438 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* cos sin))))) into 0 20.438 * [backup-simplify]: Simplify (- (/ 0 (* cos sin)) (+ (* (/ -1 (* cos sin)) (/ 0 (* cos sin))) (* 0 (/ 0 (* cos sin))))) into 0 20.438 * [taylor]: Taking taylor expansion of 0 in cos 20.438 * [backup-simplify]: Simplify 0 into 0 20.438 * [taylor]: Taking taylor expansion of 0 in sin 20.438 * [backup-simplify]: Simplify 0 into 0 20.439 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 sin)))) into 0 20.440 * [backup-simplify]: Simplify (- (/ 0 sin) (+ (* (/ -1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 20.440 * [taylor]: Taking taylor expansion of 0 in sin 20.440 * [backup-simplify]: Simplify 0 into 0 20.440 * [backup-simplify]: Simplify 0 into 0 20.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.441 * [backup-simplify]: Simplify 0 into 0 20.442 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 20.444 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* cos sin)))))) into 0 20.444 * [backup-simplify]: Simplify (- (/ 0 (* cos sin)) (+ (* (/ -1 (* cos sin)) (/ 0 (* cos sin))) (* 0 (/ 0 (* cos sin))) (* 0 (/ 0 (* cos sin))))) into 0 20.444 * [taylor]: Taking taylor expansion of 0 in cos 20.444 * [backup-simplify]: Simplify 0 into 0 20.444 * [taylor]: Taking taylor expansion of 0 in sin 20.444 * [backup-simplify]: Simplify 0 into 0 20.444 * [taylor]: Taking taylor expansion of 0 in sin 20.444 * [backup-simplify]: Simplify 0 into 0 20.446 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 20.446 * [backup-simplify]: Simplify (- (/ 0 sin) (+ (* (/ -1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 20.446 * [taylor]: Taking taylor expansion of 0 in sin 20.446 * [backup-simplify]: Simplify 0 into 0 20.446 * [backup-simplify]: Simplify 0 into 0 20.446 * [backup-simplify]: Simplify 0 into 0 20.446 * [backup-simplify]: Simplify 0 into 0 20.446 * [backup-simplify]: Simplify (* -1 (* (/ 1 (/ 1 (- sin))) (* (/ 1 (/ 1 (- cos))) (/ 1 (/ 1 (- x)))))) into (* x (* sin cos)) 20.446 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 20.447 * [backup-simplify]: Simplify (* (* x cos) sin) into (* x (* cos sin)) 20.447 * [approximate]: Taking taylor expansion of (* x (* cos sin)) in (x cos sin) around 0 20.447 * [taylor]: Taking taylor expansion of (* x (* cos sin)) in sin 20.447 * [taylor]: Taking taylor expansion of x in sin 20.447 * [backup-simplify]: Simplify x into x 20.447 * [taylor]: Taking taylor expansion of (* cos sin) in sin 20.447 * [taylor]: Taking taylor expansion of cos in sin 20.447 * [backup-simplify]: Simplify cos into cos 20.447 * [taylor]: Taking taylor expansion of sin in sin 20.447 * [backup-simplify]: Simplify 0 into 0 20.447 * [backup-simplify]: Simplify 1 into 1 20.447 * [taylor]: Taking taylor expansion of (* x (* cos sin)) in cos 20.447 * [taylor]: Taking taylor expansion of x in cos 20.447 * [backup-simplify]: Simplify x into x 20.447 * [taylor]: Taking taylor expansion of (* cos sin) in cos 20.447 * [taylor]: Taking taylor expansion of cos in cos 20.447 * [backup-simplify]: Simplify 0 into 0 20.447 * [backup-simplify]: Simplify 1 into 1 20.447 * [taylor]: Taking taylor expansion of sin in cos 20.447 * [backup-simplify]: Simplify sin into sin 20.447 * [taylor]: Taking taylor expansion of (* x (* cos sin)) in x 20.447 * [taylor]: Taking taylor expansion of x in x 20.447 * [backup-simplify]: Simplify 0 into 0 20.447 * [backup-simplify]: Simplify 1 into 1 20.447 * [taylor]: Taking taylor expansion of (* cos sin) in x 20.447 * [taylor]: Taking taylor expansion of cos in x 20.447 * [backup-simplify]: Simplify cos into cos 20.447 * [taylor]: Taking taylor expansion of sin in x 20.447 * [backup-simplify]: Simplify sin into sin 20.447 * [taylor]: Taking taylor expansion of (* x (* cos sin)) in x 20.447 * [taylor]: Taking taylor expansion of x in x 20.447 * [backup-simplify]: Simplify 0 into 0 20.447 * [backup-simplify]: Simplify 1 into 1 20.447 * [taylor]: Taking taylor expansion of (* cos sin) in x 20.447 * [taylor]: Taking taylor expansion of cos in x 20.447 * [backup-simplify]: Simplify cos into cos 20.448 * [taylor]: Taking taylor expansion of sin in x 20.448 * [backup-simplify]: Simplify sin into sin 20.448 * [backup-simplify]: Simplify (* cos sin) into (* cos sin) 20.448 * [backup-simplify]: Simplify (* 0 (* cos sin)) into 0 20.448 * [taylor]: Taking taylor expansion of 0 in cos 20.448 * [backup-simplify]: Simplify 0 into 0 20.448 * [taylor]: Taking taylor expansion of 0 in sin 20.448 * [backup-simplify]: Simplify 0 into 0 20.448 * [backup-simplify]: Simplify 0 into 0 20.448 * [backup-simplify]: Simplify (+ (* cos 0) (* 0 sin)) into 0 20.449 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* cos sin))) into (* cos sin) 20.449 * [taylor]: Taking taylor expansion of (* cos sin) in cos 20.449 * [taylor]: Taking taylor expansion of cos in cos 20.449 * [backup-simplify]: Simplify 0 into 0 20.449 * [backup-simplify]: Simplify 1 into 1 20.449 * [taylor]: Taking taylor expansion of sin in cos 20.449 * [backup-simplify]: Simplify sin into sin 20.449 * [backup-simplify]: Simplify (* 0 sin) into 0 20.449 * [taylor]: Taking taylor expansion of 0 in sin 20.449 * [backup-simplify]: Simplify 0 into 0 20.449 * [backup-simplify]: Simplify 0 into 0 20.449 * [taylor]: Taking taylor expansion of 0 in sin 20.449 * [backup-simplify]: Simplify 0 into 0 20.449 * [backup-simplify]: Simplify 0 into 0 20.449 * [backup-simplify]: Simplify 0 into 0 20.450 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (* 0 sin))) into 0 20.450 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* cos sin)))) into 0 20.450 * [taylor]: Taking taylor expansion of 0 in cos 20.450 * [backup-simplify]: Simplify 0 into 0 20.451 * [taylor]: Taking taylor expansion of 0 in sin 20.451 * [backup-simplify]: Simplify 0 into 0 20.451 * [backup-simplify]: Simplify 0 into 0 20.451 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 sin)) into sin 20.451 * [taylor]: Taking taylor expansion of sin in sin 20.451 * [backup-simplify]: Simplify 0 into 0 20.451 * [backup-simplify]: Simplify 1 into 1 20.451 * [backup-simplify]: Simplify 0 into 0 20.451 * [backup-simplify]: Simplify 0 into 0 20.451 * [backup-simplify]: Simplify (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) into (/ 1 (* x (* cos sin))) 20.451 * [approximate]: Taking taylor expansion of (/ 1 (* x (* cos sin))) in (x cos sin) around 0 20.451 * [taylor]: Taking taylor expansion of (/ 1 (* x (* cos sin))) in sin 20.451 * [taylor]: Taking taylor expansion of (* x (* cos sin)) in sin 20.451 * [taylor]: Taking taylor expansion of x in sin 20.452 * [backup-simplify]: Simplify x into x 20.452 * [taylor]: Taking taylor expansion of (* cos sin) in sin 20.452 * [taylor]: Taking taylor expansion of cos in sin 20.452 * [backup-simplify]: Simplify cos into cos 20.452 * [taylor]: Taking taylor expansion of sin in sin 20.452 * [backup-simplify]: Simplify 0 into 0 20.452 * [backup-simplify]: Simplify 1 into 1 20.452 * [backup-simplify]: Simplify (* cos 0) into 0 20.452 * [backup-simplify]: Simplify (* x 0) into 0 20.452 * [backup-simplify]: Simplify (+ (* cos 1) (* 0 0)) into cos 20.453 * [backup-simplify]: Simplify (+ (* x cos) (* 0 0)) into (* x cos) 20.453 * [backup-simplify]: Simplify (/ 1 (* x cos)) into (/ 1 (* x cos)) 20.453 * [taylor]: Taking taylor expansion of (/ 1 (* x (* cos sin))) in cos 20.453 * [taylor]: Taking taylor expansion of (* x (* cos sin)) in cos 20.453 * [taylor]: Taking taylor expansion of x in cos 20.453 * [backup-simplify]: Simplify x into x 20.453 * [taylor]: Taking taylor expansion of (* cos sin) in cos 20.453 * [taylor]: Taking taylor expansion of cos in cos 20.453 * [backup-simplify]: Simplify 0 into 0 20.453 * [backup-simplify]: Simplify 1 into 1 20.453 * [taylor]: Taking taylor expansion of sin in cos 20.453 * [backup-simplify]: Simplify sin into sin 20.453 * [backup-simplify]: Simplify (* 0 sin) into 0 20.453 * [backup-simplify]: Simplify (* x 0) into 0 20.454 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 sin)) into sin 20.454 * [backup-simplify]: Simplify (+ (* x sin) (* 0 0)) into (* x sin) 20.454 * [backup-simplify]: Simplify (/ 1 (* x sin)) into (/ 1 (* x sin)) 20.454 * [taylor]: Taking taylor expansion of (/ 1 (* x (* cos sin))) in x 20.454 * [taylor]: Taking taylor expansion of (* x (* cos sin)) in x 20.454 * [taylor]: Taking taylor expansion of x in x 20.454 * [backup-simplify]: Simplify 0 into 0 20.454 * [backup-simplify]: Simplify 1 into 1 20.454 * [taylor]: Taking taylor expansion of (* cos sin) in x 20.454 * [taylor]: Taking taylor expansion of cos in x 20.454 * [backup-simplify]: Simplify cos into cos 20.454 * [taylor]: Taking taylor expansion of sin in x 20.454 * [backup-simplify]: Simplify sin into sin 20.454 * [backup-simplify]: Simplify (* cos sin) into (* cos sin) 20.454 * [backup-simplify]: Simplify (* 0 (* cos sin)) into 0 20.455 * [backup-simplify]: Simplify (+ (* cos 0) (* 0 sin)) into 0 20.455 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* cos sin))) into (* cos sin) 20.455 * [backup-simplify]: Simplify (/ 1 (* cos sin)) into (/ 1 (* cos sin)) 20.455 * [taylor]: Taking taylor expansion of (/ 1 (* x (* cos sin))) in x 20.455 * [taylor]: Taking taylor expansion of (* x (* cos sin)) in x 20.455 * [taylor]: Taking taylor expansion of x in x 20.455 * [backup-simplify]: Simplify 0 into 0 20.455 * [backup-simplify]: Simplify 1 into 1 20.455 * [taylor]: Taking taylor expansion of (* cos sin) in x 20.455 * [taylor]: Taking taylor expansion of cos in x 20.455 * [backup-simplify]: Simplify cos into cos 20.455 * [taylor]: Taking taylor expansion of sin in x 20.455 * [backup-simplify]: Simplify sin into sin 20.455 * [backup-simplify]: Simplify (* cos sin) into (* cos sin) 20.455 * [backup-simplify]: Simplify (* 0 (* cos sin)) into 0 20.456 * [backup-simplify]: Simplify (+ (* cos 0) (* 0 sin)) into 0 20.456 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* cos sin))) into (* cos sin) 20.456 * [backup-simplify]: Simplify (/ 1 (* cos sin)) into (/ 1 (* cos sin)) 20.456 * [taylor]: Taking taylor expansion of (/ 1 (* cos sin)) in cos 20.456 * [taylor]: Taking taylor expansion of (* cos sin) in cos 20.456 * [taylor]: Taking taylor expansion of cos in cos 20.456 * [backup-simplify]: Simplify 0 into 0 20.456 * [backup-simplify]: Simplify 1 into 1 20.456 * [taylor]: Taking taylor expansion of sin in cos 20.456 * [backup-simplify]: Simplify sin into sin 20.456 * [backup-simplify]: Simplify (* 0 sin) into 0 20.457 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 sin)) into sin 20.457 * [backup-simplify]: Simplify (/ 1 sin) into (/ 1 sin) 20.457 * [taylor]: Taking taylor expansion of (/ 1 sin) in sin 20.457 * [taylor]: Taking taylor expansion of sin in sin 20.457 * [backup-simplify]: Simplify 0 into 0 20.457 * [backup-simplify]: Simplify 1 into 1 20.457 * [backup-simplify]: Simplify (/ 1 1) into 1 20.457 * [backup-simplify]: Simplify 1 into 1 20.458 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (* 0 sin))) into 0 20.459 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* cos sin)))) into 0 20.459 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* cos sin)) (/ 0 (* cos sin))))) into 0 20.459 * [taylor]: Taking taylor expansion of 0 in cos 20.459 * [backup-simplify]: Simplify 0 into 0 20.460 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 sin))) into 0 20.460 * [backup-simplify]: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 20.460 * [taylor]: Taking taylor expansion of 0 in sin 20.460 * [backup-simplify]: Simplify 0 into 0 20.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.461 * [backup-simplify]: Simplify 0 into 0 20.462 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin)))) into 0 20.463 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* cos sin))))) into 0 20.463 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* cos sin)) (/ 0 (* cos sin))) (* 0 (/ 0 (* cos sin))))) into 0 20.463 * [taylor]: Taking taylor expansion of 0 in cos 20.463 * [backup-simplify]: Simplify 0 into 0 20.463 * [taylor]: Taking taylor expansion of 0 in sin 20.463 * [backup-simplify]: Simplify 0 into 0 20.464 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 sin)))) into 0 20.465 * [backup-simplify]: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 20.465 * [taylor]: Taking taylor expansion of 0 in sin 20.465 * [backup-simplify]: Simplify 0 into 0 20.465 * [backup-simplify]: Simplify 0 into 0 20.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.466 * [backup-simplify]: Simplify 0 into 0 20.467 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 20.469 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* cos sin)))))) into 0 20.469 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* cos sin)) (/ 0 (* cos sin))) (* 0 (/ 0 (* cos sin))) (* 0 (/ 0 (* cos sin))))) into 0 20.469 * [taylor]: Taking taylor expansion of 0 in cos 20.469 * [backup-simplify]: Simplify 0 into 0 20.469 * [taylor]: Taking taylor expansion of 0 in sin 20.469 * [backup-simplify]: Simplify 0 into 0 20.469 * [taylor]: Taking taylor expansion of 0 in sin 20.469 * [backup-simplify]: Simplify 0 into 0 20.471 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 20.471 * [backup-simplify]: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 20.471 * [taylor]: Taking taylor expansion of 0 in sin 20.471 * [backup-simplify]: Simplify 0 into 0 20.471 * [backup-simplify]: Simplify 0 into 0 20.471 * [backup-simplify]: Simplify 0 into 0 20.471 * [backup-simplify]: Simplify 0 into 0 20.471 * [backup-simplify]: Simplify (* 1 (* (/ 1 (/ 1 sin)) (* (/ 1 (/ 1 cos)) (/ 1 (/ 1 x))))) into (* x (* sin cos)) 20.472 * [backup-simplify]: Simplify (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) into (/ -1 (* x (* cos sin))) 20.472 * [approximate]: Taking taylor expansion of (/ -1 (* x (* cos sin))) in (x cos sin) around 0 20.472 * [taylor]: Taking taylor expansion of (/ -1 (* x (* cos sin))) in sin 20.472 * [taylor]: Taking taylor expansion of -1 in sin 20.472 * [backup-simplify]: Simplify -1 into -1 20.472 * [taylor]: Taking taylor expansion of (* x (* cos sin)) in sin 20.472 * [taylor]: Taking taylor expansion of x in sin 20.472 * [backup-simplify]: Simplify x into x 20.472 * [taylor]: Taking taylor expansion of (* cos sin) in sin 20.472 * [taylor]: Taking taylor expansion of cos in sin 20.472 * [backup-simplify]: Simplify cos into cos 20.472 * [taylor]: Taking taylor expansion of sin in sin 20.472 * [backup-simplify]: Simplify 0 into 0 20.472 * [backup-simplify]: Simplify 1 into 1 20.472 * [backup-simplify]: Simplify (* cos 0) into 0 20.472 * [backup-simplify]: Simplify (* x 0) into 0 20.472 * [backup-simplify]: Simplify (+ (* cos 1) (* 0 0)) into cos 20.473 * [backup-simplify]: Simplify (+ (* x cos) (* 0 0)) into (* x cos) 20.473 * [backup-simplify]: Simplify (/ -1 (* x cos)) into (/ -1 (* x cos)) 20.473 * [taylor]: Taking taylor expansion of (/ -1 (* x (* cos sin))) in cos 20.473 * [taylor]: Taking taylor expansion of -1 in cos 20.473 * [backup-simplify]: Simplify -1 into -1 20.473 * [taylor]: Taking taylor expansion of (* x (* cos sin)) in cos 20.473 * [taylor]: Taking taylor expansion of x in cos 20.473 * [backup-simplify]: Simplify x into x 20.473 * [taylor]: Taking taylor expansion of (* cos sin) in cos 20.474 * [taylor]: Taking taylor expansion of cos in cos 20.474 * [backup-simplify]: Simplify 0 into 0 20.474 * [backup-simplify]: Simplify 1 into 1 20.474 * [taylor]: Taking taylor expansion of sin in cos 20.474 * [backup-simplify]: Simplify sin into sin 20.474 * [backup-simplify]: Simplify (* 0 sin) into 0 20.474 * [backup-simplify]: Simplify (* x 0) into 0 20.474 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 sin)) into sin 20.475 * [backup-simplify]: Simplify (+ (* x sin) (* 0 0)) into (* x sin) 20.475 * [backup-simplify]: Simplify (/ -1 (* x sin)) into (/ -1 (* x sin)) 20.475 * [taylor]: Taking taylor expansion of (/ -1 (* x (* cos sin))) in x 20.475 * [taylor]: Taking taylor expansion of -1 in x 20.475 * [backup-simplify]: Simplify -1 into -1 20.475 * [taylor]: Taking taylor expansion of (* x (* cos sin)) in x 20.475 * [taylor]: Taking taylor expansion of x in x 20.475 * [backup-simplify]: Simplify 0 into 0 20.475 * [backup-simplify]: Simplify 1 into 1 20.475 * [taylor]: Taking taylor expansion of (* cos sin) in x 20.475 * [taylor]: Taking taylor expansion of cos in x 20.475 * [backup-simplify]: Simplify cos into cos 20.475 * [taylor]: Taking taylor expansion of sin in x 20.475 * [backup-simplify]: Simplify sin into sin 20.475 * [backup-simplify]: Simplify (* cos sin) into (* cos sin) 20.475 * [backup-simplify]: Simplify (* 0 (* cos sin)) into 0 20.475 * [backup-simplify]: Simplify (+ (* cos 0) (* 0 sin)) into 0 20.476 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* cos sin))) into (* cos sin) 20.476 * [backup-simplify]: Simplify (/ -1 (* cos sin)) into (/ -1 (* cos sin)) 20.476 * [taylor]: Taking taylor expansion of (/ -1 (* x (* cos sin))) in x 20.476 * [taylor]: Taking taylor expansion of -1 in x 20.476 * [backup-simplify]: Simplify -1 into -1 20.476 * [taylor]: Taking taylor expansion of (* x (* cos sin)) in x 20.476 * [taylor]: Taking taylor expansion of x in x 20.476 * [backup-simplify]: Simplify 0 into 0 20.476 * [backup-simplify]: Simplify 1 into 1 20.476 * [taylor]: Taking taylor expansion of (* cos sin) in x 20.476 * [taylor]: Taking taylor expansion of cos in x 20.476 * [backup-simplify]: Simplify cos into cos 20.476 * [taylor]: Taking taylor expansion of sin in x 20.476 * [backup-simplify]: Simplify sin into sin 20.476 * [backup-simplify]: Simplify (* cos sin) into (* cos sin) 20.476 * [backup-simplify]: Simplify (* 0 (* cos sin)) into 0 20.477 * [backup-simplify]: Simplify (+ (* cos 0) (* 0 sin)) into 0 20.477 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* cos sin))) into (* cos sin) 20.477 * [backup-simplify]: Simplify (/ -1 (* cos sin)) into (/ -1 (* cos sin)) 20.477 * [taylor]: Taking taylor expansion of (/ -1 (* cos sin)) in cos 20.477 * [taylor]: Taking taylor expansion of -1 in cos 20.477 * [backup-simplify]: Simplify -1 into -1 20.477 * [taylor]: Taking taylor expansion of (* cos sin) in cos 20.477 * [taylor]: Taking taylor expansion of cos in cos 20.477 * [backup-simplify]: Simplify 0 into 0 20.477 * [backup-simplify]: Simplify 1 into 1 20.477 * [taylor]: Taking taylor expansion of sin in cos 20.477 * [backup-simplify]: Simplify sin into sin 20.478 * [backup-simplify]: Simplify (* 0 sin) into 0 20.478 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 sin)) into sin 20.478 * [backup-simplify]: Simplify (/ -1 sin) into (/ -1 sin) 20.478 * [taylor]: Taking taylor expansion of (/ -1 sin) in sin 20.478 * [taylor]: Taking taylor expansion of -1 in sin 20.478 * [backup-simplify]: Simplify -1 into -1 20.478 * [taylor]: Taking taylor expansion of sin in sin 20.478 * [backup-simplify]: Simplify 0 into 0 20.478 * [backup-simplify]: Simplify 1 into 1 20.479 * [backup-simplify]: Simplify (/ -1 1) into -1 20.479 * [backup-simplify]: Simplify -1 into -1 20.479 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (* 0 sin))) into 0 20.480 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* cos sin)))) into 0 20.480 * [backup-simplify]: Simplify (- (/ 0 (* cos sin)) (+ (* (/ -1 (* cos sin)) (/ 0 (* cos sin))))) into 0 20.480 * [taylor]: Taking taylor expansion of 0 in cos 20.480 * [backup-simplify]: Simplify 0 into 0 20.481 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 sin))) into 0 20.481 * [backup-simplify]: Simplify (- (/ 0 sin) (+ (* (/ -1 sin) (/ 0 sin)))) into 0 20.481 * [taylor]: Taking taylor expansion of 0 in sin 20.481 * [backup-simplify]: Simplify 0 into 0 20.481 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 20.481 * [backup-simplify]: Simplify 0 into 0 20.482 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin)))) into 0 20.483 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* cos sin))))) into 0 20.483 * [backup-simplify]: Simplify (- (/ 0 (* cos sin)) (+ (* (/ -1 (* cos sin)) (/ 0 (* cos sin))) (* 0 (/ 0 (* cos sin))))) into 0 20.483 * [taylor]: Taking taylor expansion of 0 in cos 20.483 * [backup-simplify]: Simplify 0 into 0 20.483 * [taylor]: Taking taylor expansion of 0 in sin 20.483 * [backup-simplify]: Simplify 0 into 0 20.484 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 sin)))) into 0 20.484 * [backup-simplify]: Simplify (- (/ 0 sin) (+ (* (/ -1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 20.484 * [taylor]: Taking taylor expansion of 0 in sin 20.484 * [backup-simplify]: Simplify 0 into 0 20.484 * [backup-simplify]: Simplify 0 into 0 20.484 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.484 * [backup-simplify]: Simplify 0 into 0 20.485 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 20.486 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* cos sin)))))) into 0 20.486 * [backup-simplify]: Simplify (- (/ 0 (* cos sin)) (+ (* (/ -1 (* cos sin)) (/ 0 (* cos sin))) (* 0 (/ 0 (* cos sin))) (* 0 (/ 0 (* cos sin))))) into 0 20.486 * [taylor]: Taking taylor expansion of 0 in cos 20.486 * [backup-simplify]: Simplify 0 into 0 20.486 * [taylor]: Taking taylor expansion of 0 in sin 20.486 * [backup-simplify]: Simplify 0 into 0 20.486 * [taylor]: Taking taylor expansion of 0 in sin 20.486 * [backup-simplify]: Simplify 0 into 0 20.487 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 20.487 * [backup-simplify]: Simplify (- (/ 0 sin) (+ (* (/ -1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 20.488 * [taylor]: Taking taylor expansion of 0 in sin 20.488 * [backup-simplify]: Simplify 0 into 0 20.488 * [backup-simplify]: Simplify 0 into 0 20.488 * [backup-simplify]: Simplify 0 into 0 20.488 * [backup-simplify]: Simplify 0 into 0 20.488 * [backup-simplify]: Simplify (* -1 (* (/ 1 (/ 1 (- sin))) (* (/ 1 (/ 1 (- cos))) (/ 1 (/ 1 (- x)))))) into (* x (* sin cos)) 20.488 * * * * [progress]: [ 3 / 4 ] generating series at (2) 20.488 * [backup-simplify]: Simplify (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin))) into (/ (cos (* 2 x)) (* (pow sin 2) (* (pow x 2) (pow cos 2)))) 20.488 * [approximate]: Taking taylor expansion of (/ (cos (* 2 x)) (* (pow sin 2) (* (pow x 2) (pow cos 2)))) in (x cos sin) around 0 20.488 * [taylor]: Taking taylor expansion of (/ (cos (* 2 x)) (* (pow sin 2) (* (pow x 2) (pow cos 2)))) in sin 20.488 * [taylor]: Taking taylor expansion of (cos (* 2 x)) in sin 20.488 * [taylor]: Taking taylor expansion of (* 2 x) in sin 20.488 * [taylor]: Taking taylor expansion of 2 in sin 20.488 * [backup-simplify]: Simplify 2 into 2 20.488 * [taylor]: Taking taylor expansion of x in sin 20.488 * [backup-simplify]: Simplify x into x 20.488 * [backup-simplify]: Simplify (* 2 x) into (* 2 x) 20.488 * [backup-simplify]: Simplify (cos (* 2 x)) into (cos (* 2 x)) 20.488 * [backup-simplify]: Simplify (sin (* 2 x)) into (sin (* 2 x)) 20.488 * [taylor]: Taking taylor expansion of (* (pow sin 2) (* (pow x 2) (pow cos 2))) in sin 20.488 * [taylor]: Taking taylor expansion of (pow sin 2) in sin 20.488 * [taylor]: Taking taylor expansion of sin in sin 20.488 * [backup-simplify]: Simplify 0 into 0 20.488 * [backup-simplify]: Simplify 1 into 1 20.488 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow cos 2)) in sin 20.488 * [taylor]: Taking taylor expansion of (pow x 2) in sin 20.488 * [taylor]: Taking taylor expansion of x in sin 20.488 * [backup-simplify]: Simplify x into x 20.488 * [taylor]: Taking taylor expansion of (pow cos 2) in sin 20.488 * [taylor]: Taking taylor expansion of cos in sin 20.488 * [backup-simplify]: Simplify cos into cos 20.488 * [backup-simplify]: Simplify (* (cos (* 2 x)) 1) into (cos (* 2 x)) 20.489 * [backup-simplify]: Simplify (* (sin (* 2 x)) 0) into 0 20.489 * [backup-simplify]: Simplify (- 0) into 0 20.489 * [backup-simplify]: Simplify (+ (cos (* 2 x)) 0) into (cos (* 2 x)) 20.489 * [backup-simplify]: Simplify (* 1 1) into 1 20.489 * [backup-simplify]: Simplify (* x x) into (pow x 2) 20.489 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 20.489 * [backup-simplify]: Simplify (* (pow x 2) (pow cos 2)) into (* (pow x 2) (pow cos 2)) 20.489 * [backup-simplify]: Simplify (* 1 (* (pow x 2) (pow cos 2))) into (* (pow x 2) (pow cos 2)) 20.489 * [backup-simplify]: Simplify (/ (cos (* 2 x)) (* (pow x 2) (pow cos 2))) into (/ (cos (* 2 x)) (* (pow x 2) (pow cos 2))) 20.489 * [taylor]: Taking taylor expansion of (/ (cos (* 2 x)) (* (pow sin 2) (* (pow x 2) (pow cos 2)))) in cos 20.489 * [taylor]: Taking taylor expansion of (cos (* 2 x)) in cos 20.489 * [taylor]: Taking taylor expansion of (* 2 x) in cos 20.489 * [taylor]: Taking taylor expansion of 2 in cos 20.490 * [backup-simplify]: Simplify 2 into 2 20.490 * [taylor]: Taking taylor expansion of x in cos 20.490 * [backup-simplify]: Simplify x into x 20.490 * [backup-simplify]: Simplify (* 2 x) into (* 2 x) 20.490 * [backup-simplify]: Simplify (cos (* 2 x)) into (cos (* 2 x)) 20.490 * [backup-simplify]: Simplify (sin (* 2 x)) into (sin (* 2 x)) 20.490 * [taylor]: Taking taylor expansion of (* (pow sin 2) (* (pow x 2) (pow cos 2))) in cos 20.490 * [taylor]: Taking taylor expansion of (pow sin 2) in cos 20.490 * [taylor]: Taking taylor expansion of sin in cos 20.490 * [backup-simplify]: Simplify sin into sin 20.490 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow cos 2)) in cos 20.490 * [taylor]: Taking taylor expansion of (pow x 2) in cos 20.490 * [taylor]: Taking taylor expansion of x in cos 20.490 * [backup-simplify]: Simplify x into x 20.490 * [taylor]: Taking taylor expansion of (pow cos 2) in cos 20.490 * [taylor]: Taking taylor expansion of cos in cos 20.490 * [backup-simplify]: Simplify 0 into 0 20.490 * [backup-simplify]: Simplify 1 into 1 20.490 * [backup-simplify]: Simplify (* (cos (* 2 x)) 1) into (cos (* 2 x)) 20.490 * [backup-simplify]: Simplify (* (sin (* 2 x)) 0) into 0 20.490 * [backup-simplify]: Simplify (- 0) into 0 20.490 * [backup-simplify]: Simplify (+ (cos (* 2 x)) 0) into (cos (* 2 x)) 20.490 * [backup-simplify]: Simplify (* sin sin) into (pow sin 2) 20.490 * [backup-simplify]: Simplify (* x x) into (pow x 2) 20.491 * [backup-simplify]: Simplify (* 1 1) into 1 20.491 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 20.491 * [backup-simplify]: Simplify (* (pow sin 2) (pow x 2)) into (* (pow x 2) (pow sin 2)) 20.491 * [backup-simplify]: Simplify (/ (cos (* 2 x)) (* (pow x 2) (pow sin 2))) into (/ (cos (* 2 x)) (* (pow x 2) (pow sin 2))) 20.491 * [taylor]: Taking taylor expansion of (/ (cos (* 2 x)) (* (pow sin 2) (* (pow x 2) (pow cos 2)))) in x 20.491 * [taylor]: Taking taylor expansion of (cos (* 2 x)) in x 20.491 * [taylor]: Taking taylor expansion of (* 2 x) in x 20.491 * [taylor]: Taking taylor expansion of 2 in x 20.491 * [backup-simplify]: Simplify 2 into 2 20.491 * [taylor]: Taking taylor expansion of x in x 20.491 * [backup-simplify]: Simplify 0 into 0 20.491 * [backup-simplify]: Simplify 1 into 1 20.491 * [backup-simplify]: Simplify (* 2 0) into 0 20.492 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 20.492 * [taylor]: Taking taylor expansion of (* (pow sin 2) (* (pow x 2) (pow cos 2))) in x 20.492 * [taylor]: Taking taylor expansion of (pow sin 2) in x 20.492 * [taylor]: Taking taylor expansion of sin in x 20.492 * [backup-simplify]: Simplify sin into sin 20.492 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow cos 2)) in x 20.492 * [taylor]: Taking taylor expansion of (pow x 2) in x 20.492 * [taylor]: Taking taylor expansion of x in x 20.492 * [backup-simplify]: Simplify 0 into 0 20.492 * [backup-simplify]: Simplify 1 into 1 20.492 * [taylor]: Taking taylor expansion of (pow cos 2) in x 20.492 * [taylor]: Taking taylor expansion of cos in x 20.492 * [backup-simplify]: Simplify cos into cos 20.492 * [backup-simplify]: Simplify (* sin sin) into (pow sin 2) 20.492 * [backup-simplify]: Simplify (* 1 1) into 1 20.492 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 20.492 * [backup-simplify]: Simplify (* 1 (pow cos 2)) into (pow cos 2) 20.492 * [backup-simplify]: Simplify (* (pow sin 2) (pow cos 2)) into (* (pow sin 2) (pow cos 2)) 20.492 * [backup-simplify]: Simplify (/ 1 (* (pow sin 2) (pow cos 2))) into (/ 1 (* (pow sin 2) (pow cos 2))) 20.492 * [taylor]: Taking taylor expansion of (/ (cos (* 2 x)) (* (pow sin 2) (* (pow x 2) (pow cos 2)))) in x 20.492 * [taylor]: Taking taylor expansion of (cos (* 2 x)) in x 20.492 * [taylor]: Taking taylor expansion of (* 2 x) in x 20.492 * [taylor]: Taking taylor expansion of 2 in x 20.492 * [backup-simplify]: Simplify 2 into 2 20.492 * [taylor]: Taking taylor expansion of x in x 20.492 * [backup-simplify]: Simplify 0 into 0 20.492 * [backup-simplify]: Simplify 1 into 1 20.493 * [backup-simplify]: Simplify (* 2 0) into 0 20.493 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 20.493 * [taylor]: Taking taylor expansion of (* (pow sin 2) (* (pow x 2) (pow cos 2))) in x 20.493 * [taylor]: Taking taylor expansion of (pow sin 2) in x 20.493 * [taylor]: Taking taylor expansion of sin in x 20.493 * [backup-simplify]: Simplify sin into sin 20.493 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow cos 2)) in x 20.493 * [taylor]: Taking taylor expansion of (pow x 2) in x 20.493 * [taylor]: Taking taylor expansion of x in x 20.493 * [backup-simplify]: Simplify 0 into 0 20.493 * [backup-simplify]: Simplify 1 into 1 20.493 * [taylor]: Taking taylor expansion of (pow cos 2) in x 20.493 * [taylor]: Taking taylor expansion of cos in x 20.493 * [backup-simplify]: Simplify cos into cos 20.493 * [backup-simplify]: Simplify (* sin sin) into (pow sin 2) 20.494 * [backup-simplify]: Simplify (* 1 1) into 1 20.494 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 20.494 * [backup-simplify]: Simplify (* 1 (pow cos 2)) into (pow cos 2) 20.494 * [backup-simplify]: Simplify (* (pow sin 2) (pow cos 2)) into (* (pow sin 2) (pow cos 2)) 20.494 * [backup-simplify]: Simplify (/ 1 (* (pow sin 2) (pow cos 2))) into (/ 1 (* (pow sin 2) (pow cos 2))) 20.494 * [taylor]: Taking taylor expansion of (/ 1 (* (pow sin 2) (pow cos 2))) in cos 20.494 * [taylor]: Taking taylor expansion of (* (pow sin 2) (pow cos 2)) in cos 20.494 * [taylor]: Taking taylor expansion of (pow sin 2) in cos 20.494 * [taylor]: Taking taylor expansion of sin in cos 20.494 * [backup-simplify]: Simplify sin into sin 20.494 * [taylor]: Taking taylor expansion of (pow cos 2) in cos 20.494 * [taylor]: Taking taylor expansion of cos in cos 20.494 * [backup-simplify]: Simplify 0 into 0 20.494 * [backup-simplify]: Simplify 1 into 1 20.494 * [backup-simplify]: Simplify (* sin sin) into (pow sin 2) 20.494 * [backup-simplify]: Simplify (* 1 1) into 1 20.494 * [backup-simplify]: Simplify (* (pow sin 2) 1) into (pow sin 2) 20.495 * [backup-simplify]: Simplify (/ 1 (pow sin 2)) into (/ 1 (pow sin 2)) 20.495 * [taylor]: Taking taylor expansion of (/ 1 (pow sin 2)) in sin 20.495 * [taylor]: Taking taylor expansion of (pow sin 2) in sin 20.495 * [taylor]: Taking taylor expansion of sin in sin 20.495 * [backup-simplify]: Simplify 0 into 0 20.495 * [backup-simplify]: Simplify 1 into 1 20.495 * [backup-simplify]: Simplify (* 1 1) into 1 20.495 * [backup-simplify]: Simplify (/ 1 1) into 1 20.495 * [backup-simplify]: Simplify 1 into 1 20.495 * [backup-simplify]: Simplify (+ 0) into 0 20.495 * [backup-simplify]: Simplify (+ (* cos 0) (* 0 cos)) into 0 20.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow cos 2))) into 0 20.496 * [backup-simplify]: Simplify (+ (* sin 0) (* 0 sin)) into 0 20.496 * [backup-simplify]: Simplify (+ (* (pow sin 2) 0) (* 0 (pow cos 2))) into 0 20.497 * [backup-simplify]: Simplify (- (/ 0 (* (pow sin 2) (pow cos 2))) (+ (* (/ 1 (* (pow sin 2) (pow cos 2))) (/ 0 (* (pow sin 2) (pow cos 2)))))) into 0 20.497 * [taylor]: Taking taylor expansion of 0 in cos 20.497 * [backup-simplify]: Simplify 0 into 0 20.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.497 * [backup-simplify]: Simplify (+ (* sin 0) (* 0 sin)) into 0 20.497 * [backup-simplify]: Simplify (+ (* (pow sin 2) 0) (* 0 1)) into 0 20.498 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow sin 2)) (/ 0 (pow sin 2))))) into 0 20.498 * [taylor]: Taking taylor expansion of 0 in sin 20.498 * [backup-simplify]: Simplify 0 into 0 20.498 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.499 * [backup-simplify]: Simplify 0 into 0 20.499 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 2 2) 2)) 0) into -2 20.499 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (* 0 cos))) into 0 20.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow cos 2)))) into 0 20.501 * [backup-simplify]: Simplify (+ (* sin 0) (+ (* 0 0) (* 0 sin))) into 0 20.501 * [backup-simplify]: Simplify (+ (* (pow sin 2) 0) (+ (* 0 0) (* 0 (pow cos 2)))) into 0 20.501 * [backup-simplify]: Simplify (- (/ -2 (* (pow sin 2) (pow cos 2))) (+ (* (/ 1 (* (pow sin 2) (pow cos 2))) (/ 0 (* (pow sin 2) (pow cos 2)))) (* 0 (/ 0 (* (pow sin 2) (pow cos 2)))))) into (- (* 2 (/ 1 (* (pow sin 2) (pow cos 2))))) 20.501 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (* (pow sin 2) (pow cos 2))))) in cos 20.501 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* (pow sin 2) (pow cos 2)))) in cos 20.502 * [taylor]: Taking taylor expansion of 2 in cos 20.502 * [backup-simplify]: Simplify 2 into 2 20.502 * [taylor]: Taking taylor expansion of (/ 1 (* (pow sin 2) (pow cos 2))) in cos 20.502 * [taylor]: Taking taylor expansion of (* (pow sin 2) (pow cos 2)) in cos 20.502 * [taylor]: Taking taylor expansion of (pow sin 2) in cos 20.502 * [taylor]: Taking taylor expansion of sin in cos 20.502 * [backup-simplify]: Simplify sin into sin 20.502 * [taylor]: Taking taylor expansion of (pow cos 2) in cos 20.502 * [taylor]: Taking taylor expansion of cos in cos 20.502 * [backup-simplify]: Simplify 0 into 0 20.502 * [backup-simplify]: Simplify 1 into 1 20.502 * [backup-simplify]: Simplify (* sin sin) into (pow sin 2) 20.502 * [backup-simplify]: Simplify (* 1 1) into 1 20.502 * [backup-simplify]: Simplify (* (pow sin 2) 1) into (pow sin 2) 20.502 * [backup-simplify]: Simplify (/ 1 (pow sin 2)) into (/ 1 (pow sin 2)) 20.502 * [backup-simplify]: Simplify (* 2 (/ 1 (pow sin 2))) into (/ 2 (pow sin 2)) 20.502 * [backup-simplify]: Simplify (- (/ 2 (pow sin 2))) into (- (* 2 (/ 1 (pow sin 2)))) 20.502 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow sin 2)))) in sin 20.502 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow sin 2))) in sin 20.502 * [taylor]: Taking taylor expansion of 2 in sin 20.502 * [backup-simplify]: Simplify 2 into 2 20.502 * [taylor]: Taking taylor expansion of (/ 1 (pow sin 2)) in sin 20.502 * [taylor]: Taking taylor expansion of (pow sin 2) in sin 20.502 * [taylor]: Taking taylor expansion of sin in sin 20.502 * [backup-simplify]: Simplify 0 into 0 20.502 * [backup-simplify]: Simplify 1 into 1 20.503 * [backup-simplify]: Simplify (* 1 1) into 1 20.503 * [backup-simplify]: Simplify (/ 1 1) into 1 20.503 * [backup-simplify]: Simplify (* 2 1) into 2 20.503 * [backup-simplify]: Simplify (- 2) into -2 20.503 * [backup-simplify]: Simplify -2 into -2 20.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.504 * [backup-simplify]: Simplify (+ (* sin 0) (+ (* 0 0) (* 0 sin))) into 0 20.505 * [backup-simplify]: Simplify (+ (* (pow sin 2) 0) (+ (* 0 0) (* 0 1))) into 0 20.505 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow sin 2)) (/ 0 (pow sin 2))) (* 0 (/ 0 (pow sin 2))))) into 0 20.505 * [taylor]: Taking taylor expansion of 0 in sin 20.505 * [backup-simplify]: Simplify 0 into 0 20.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.506 * [backup-simplify]: Simplify 0 into 0 20.506 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 20.507 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 2 1) 1) (/ (pow 0 1) 1)) 0) into 0 20.508 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos)))) into 0 20.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow cos 2))))) into 0 20.510 * [backup-simplify]: Simplify (+ (* sin 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin)))) into 0 20.511 * [backup-simplify]: Simplify (+ (* (pow sin 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow cos 2))))) into 0 20.512 * [backup-simplify]: Simplify (- (/ 0 (* (pow sin 2) (pow cos 2))) (+ (* (/ 1 (* (pow sin 2) (pow cos 2))) (/ 0 (* (pow sin 2) (pow cos 2)))) (* 0 (/ 0 (* (pow sin 2) (pow cos 2)))) (* (- (* 2 (/ 1 (* (pow sin 2) (pow cos 2))))) (/ 0 (* (pow sin 2) (pow cos 2)))))) into 0 20.512 * [taylor]: Taking taylor expansion of 0 in cos 20.512 * [backup-simplify]: Simplify 0 into 0 20.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.513 * [backup-simplify]: Simplify (+ (* sin 0) (* 0 sin)) into 0 20.514 * [backup-simplify]: Simplify (+ (* (pow sin 2) 0) (* 0 1)) into 0 20.514 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow sin 2)) (/ 0 (pow sin 2))))) into 0 20.514 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow sin 2)))) into 0 20.515 * [backup-simplify]: Simplify (- 0) into 0 20.515 * [taylor]: Taking taylor expansion of 0 in sin 20.515 * [backup-simplify]: Simplify 0 into 0 20.515 * [taylor]: Taking taylor expansion of 0 in sin 20.515 * [backup-simplify]: Simplify 0 into 0 20.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.517 * [backup-simplify]: Simplify (+ (* sin 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin)))) into 0 20.518 * [backup-simplify]: Simplify (+ (* (pow sin 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.518 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow sin 2)) (/ 0 (pow sin 2))) (* 0 (/ 0 (pow sin 2))) (* 0 (/ 0 (pow sin 2))))) into 0 20.518 * [taylor]: Taking taylor expansion of 0 in sin 20.518 * [backup-simplify]: Simplify 0 into 0 20.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.520 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 20.521 * [backup-simplify]: Simplify (- 0) into 0 20.521 * [backup-simplify]: Simplify 0 into 0 20.521 * [backup-simplify]: Simplify 0 into 0 20.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.523 * [backup-simplify]: Simplify 0 into 0 20.524 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 20.527 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 2 4) 24)) 0 (* -1 (/ (pow 2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 2/3 20.529 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))) into 0 20.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 20.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow cos 2)))))) into 0 20.533 * [backup-simplify]: Simplify (+ (* sin 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 20.534 * [backup-simplify]: Simplify (+ (* (pow sin 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow cos 2)))))) into 0 20.535 * [backup-simplify]: Simplify (- (/ 2/3 (* (pow sin 2) (pow cos 2))) (+ (* (/ 1 (* (pow sin 2) (pow cos 2))) (/ 0 (* (pow sin 2) (pow cos 2)))) (* 0 (/ 0 (* (pow sin 2) (pow cos 2)))) (* (- (* 2 (/ 1 (* (pow sin 2) (pow cos 2))))) (/ 0 (* (pow sin 2) (pow cos 2)))) (* 0 (/ 0 (* (pow sin 2) (pow cos 2)))))) into (* 2/3 (/ 1 (* (pow sin 2) (pow cos 2)))) 20.535 * [taylor]: Taking taylor expansion of (* 2/3 (/ 1 (* (pow sin 2) (pow cos 2)))) in cos 20.535 * [taylor]: Taking taylor expansion of 2/3 in cos 20.535 * [backup-simplify]: Simplify 2/3 into 2/3 20.535 * [taylor]: Taking taylor expansion of (/ 1 (* (pow sin 2) (pow cos 2))) in cos 20.535 * [taylor]: Taking taylor expansion of (* (pow sin 2) (pow cos 2)) in cos 20.535 * [taylor]: Taking taylor expansion of (pow sin 2) in cos 20.535 * [taylor]: Taking taylor expansion of sin in cos 20.535 * [backup-simplify]: Simplify sin into sin 20.535 * [taylor]: Taking taylor expansion of (pow cos 2) in cos 20.535 * [taylor]: Taking taylor expansion of cos in cos 20.535 * [backup-simplify]: Simplify 0 into 0 20.535 * [backup-simplify]: Simplify 1 into 1 20.535 * [backup-simplify]: Simplify (* sin sin) into (pow sin 2) 20.536 * [backup-simplify]: Simplify (* 1 1) into 1 20.536 * [backup-simplify]: Simplify (* (pow sin 2) 1) into (pow sin 2) 20.536 * [backup-simplify]: Simplify (/ 1 (pow sin 2)) into (/ 1 (pow sin 2)) 20.536 * [backup-simplify]: Simplify (* 2/3 (/ 1 (pow sin 2))) into (/ 2/3 (pow sin 2)) 20.536 * [taylor]: Taking taylor expansion of (/ 2/3 (pow sin 2)) in sin 20.536 * [taylor]: Taking taylor expansion of 2/3 in sin 20.536 * [backup-simplify]: Simplify 2/3 into 2/3 20.536 * [taylor]: Taking taylor expansion of (pow sin 2) in sin 20.536 * [taylor]: Taking taylor expansion of sin in sin 20.536 * [backup-simplify]: Simplify 0 into 0 20.536 * [backup-simplify]: Simplify 1 into 1 20.537 * [backup-simplify]: Simplify (* 1 1) into 1 20.537 * [backup-simplify]: Simplify (/ 2/3 1) into 2/3 20.537 * [backup-simplify]: Simplify 2/3 into 2/3 20.538 * [backup-simplify]: Simplify (+ (* 2/3 (pow (* (/ 1 sin) (* (/ 1 cos) x)) 2)) (+ (* -2 (pow (* (/ 1 sin) (* (/ 1 cos) 1)) 2)) (* 1 (pow (* (/ 1 sin) (* (/ 1 cos) (/ 1 x))) 2)))) into (- (+ (/ 1 (* (pow x 2) (* (pow sin 2) (pow cos 2)))) (* 2/3 (/ (pow x 2) (* (pow sin 2) (pow cos 2))))) (* 2 (/ 1 (* (pow sin 2) (pow cos 2))))) 20.538 * [backup-simplify]: Simplify (/ (cos (* 2 (/ 1 x))) (* (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)))) into (* (pow x 2) (* (pow cos 2) (* (pow sin 2) (cos (/ 2 x))))) 20.538 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (pow cos 2) (* (pow sin 2) (cos (/ 2 x))))) in (x cos sin) around 0 20.538 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow cos 2) (* (pow sin 2) (cos (/ 2 x))))) in sin 20.538 * [taylor]: Taking taylor expansion of (pow x 2) in sin 20.539 * [taylor]: Taking taylor expansion of x in sin 20.539 * [backup-simplify]: Simplify x into x 20.539 * [taylor]: Taking taylor expansion of (* (pow cos 2) (* (pow sin 2) (cos (/ 2 x)))) in sin 20.539 * [taylor]: Taking taylor expansion of (pow cos 2) in sin 20.539 * [taylor]: Taking taylor expansion of cos in sin 20.539 * [backup-simplify]: Simplify cos into cos 20.539 * [taylor]: Taking taylor expansion of (* (pow sin 2) (cos (/ 2 x))) in sin 20.539 * [taylor]: Taking taylor expansion of (pow sin 2) in sin 20.539 * [taylor]: Taking taylor expansion of sin in sin 20.539 * [backup-simplify]: Simplify 0 into 0 20.539 * [backup-simplify]: Simplify 1 into 1 20.539 * [taylor]: Taking taylor expansion of (cos (/ 2 x)) in sin 20.539 * [taylor]: Taking taylor expansion of (/ 2 x) in sin 20.539 * [taylor]: Taking taylor expansion of 2 in sin 20.539 * [backup-simplify]: Simplify 2 into 2 20.539 * [taylor]: Taking taylor expansion of x in sin 20.539 * [backup-simplify]: Simplify x into x 20.539 * [backup-simplify]: Simplify (/ 2 x) into (/ 2 x) 20.539 * [backup-simplify]: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) 20.539 * [backup-simplify]: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) 20.539 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow cos 2) (* (pow sin 2) (cos (/ 2 x))))) in cos 20.539 * [taylor]: Taking taylor expansion of (pow x 2) in cos 20.539 * [taylor]: Taking taylor expansion of x in cos 20.539 * [backup-simplify]: Simplify x into x 20.539 * [taylor]: Taking taylor expansion of (* (pow cos 2) (* (pow sin 2) (cos (/ 2 x)))) in cos 20.539 * [taylor]: Taking taylor expansion of (pow cos 2) in cos 20.539 * [taylor]: Taking taylor expansion of cos in cos 20.539 * [backup-simplify]: Simplify 0 into 0 20.539 * [backup-simplify]: Simplify 1 into 1 20.539 * [taylor]: Taking taylor expansion of (* (pow sin 2) (cos (/ 2 x))) in cos 20.539 * [taylor]: Taking taylor expansion of (pow sin 2) in cos 20.540 * [taylor]: Taking taylor expansion of sin in cos 20.540 * [backup-simplify]: Simplify sin into sin 20.540 * [taylor]: Taking taylor expansion of (cos (/ 2 x)) in cos 20.540 * [taylor]: Taking taylor expansion of (/ 2 x) in cos 20.540 * [taylor]: Taking taylor expansion of 2 in cos 20.540 * [backup-simplify]: Simplify 2 into 2 20.540 * [taylor]: Taking taylor expansion of x in cos 20.540 * [backup-simplify]: Simplify x into x 20.540 * [backup-simplify]: Simplify (/ 2 x) into (/ 2 x) 20.540 * [backup-simplify]: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) 20.540 * [backup-simplify]: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) 20.540 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow cos 2) (* (pow sin 2) (cos (/ 2 x))))) in x 20.540 * [taylor]: Taking taylor expansion of (pow x 2) in x 20.540 * [taylor]: Taking taylor expansion of x in x 20.540 * [backup-simplify]: Simplify 0 into 0 20.540 * [backup-simplify]: Simplify 1 into 1 20.540 * [taylor]: Taking taylor expansion of (* (pow cos 2) (* (pow sin 2) (cos (/ 2 x)))) in x 20.540 * [taylor]: Taking taylor expansion of (pow cos 2) in x 20.540 * [taylor]: Taking taylor expansion of cos in x 20.540 * [backup-simplify]: Simplify cos into cos 20.540 * [taylor]: Taking taylor expansion of (* (pow sin 2) (cos (/ 2 x))) in x 20.540 * [taylor]: Taking taylor expansion of (pow sin 2) in x 20.540 * [taylor]: Taking taylor expansion of sin in x 20.540 * [backup-simplify]: Simplify sin into sin 20.540 * [taylor]: Taking taylor expansion of (cos (/ 2 x)) in x 20.540 * [taylor]: Taking taylor expansion of (/ 2 x) in x 20.540 * [taylor]: Taking taylor expansion of 2 in x 20.540 * [backup-simplify]: Simplify 2 into 2 20.540 * [taylor]: Taking taylor expansion of x in x 20.540 * [backup-simplify]: Simplify 0 into 0 20.540 * [backup-simplify]: Simplify 1 into 1 20.541 * [backup-simplify]: Simplify (/ 2 1) into 2 20.541 * [backup-simplify]: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) 20.541 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow cos 2) (* (pow sin 2) (cos (/ 2 x))))) in x 20.541 * [taylor]: Taking taylor expansion of (pow x 2) in x 20.541 * [taylor]: Taking taylor expansion of x in x 20.541 * [backup-simplify]: Simplify 0 into 0 20.541 * [backup-simplify]: Simplify 1 into 1 20.541 * [taylor]: Taking taylor expansion of (* (pow cos 2) (* (pow sin 2) (cos (/ 2 x)))) in x 20.541 * [taylor]: Taking taylor expansion of (pow cos 2) in x 20.541 * [taylor]: Taking taylor expansion of cos in x 20.541 * [backup-simplify]: Simplify cos into cos 20.541 * [taylor]: Taking taylor expansion of (* (pow sin 2) (cos (/ 2 x))) in x 20.541 * [taylor]: Taking taylor expansion of (pow sin 2) in x 20.541 * [taylor]: Taking taylor expansion of sin in x 20.541 * [backup-simplify]: Simplify sin into sin 20.541 * [taylor]: Taking taylor expansion of (cos (/ 2 x)) in x 20.541 * [taylor]: Taking taylor expansion of (/ 2 x) in x 20.541 * [taylor]: Taking taylor expansion of 2 in x 20.541 * [backup-simplify]: Simplify 2 into 2 20.541 * [taylor]: Taking taylor expansion of x in x 20.541 * [backup-simplify]: Simplify 0 into 0 20.541 * [backup-simplify]: Simplify 1 into 1 20.541 * [backup-simplify]: Simplify (/ 2 1) into 2 20.541 * [backup-simplify]: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) 20.542 * [backup-simplify]: Simplify (* 1 1) into 1 20.542 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 20.542 * [backup-simplify]: Simplify (* sin sin) into (pow sin 2) 20.542 * [backup-simplify]: Simplify (* (pow sin 2) (cos (/ 2 x))) into (* (pow sin 2) (cos (/ 2 x))) 20.542 * [backup-simplify]: Simplify (* (pow cos 2) (* (pow sin 2) (cos (/ 2 x)))) into (* (pow cos 2) (* (pow sin 2) (cos (/ 2 x)))) 20.542 * [backup-simplify]: Simplify (* 1 (* (pow cos 2) (* (pow sin 2) (cos (/ 2 x))))) into (* (pow cos 2) (* (pow sin 2) (cos (/ 2 x)))) 20.542 * [taylor]: Taking taylor expansion of (* (pow cos 2) (* (pow sin 2) (cos (/ 2 x)))) in cos 20.542 * [taylor]: Taking taylor expansion of (pow cos 2) in cos 20.542 * [taylor]: Taking taylor expansion of cos in cos 20.542 * [backup-simplify]: Simplify 0 into 0 20.542 * [backup-simplify]: Simplify 1 into 1 20.542 * [taylor]: Taking taylor expansion of (* (pow sin 2) (cos (/ 2 x))) in cos 20.542 * [taylor]: Taking taylor expansion of (pow sin 2) in cos 20.542 * [taylor]: Taking taylor expansion of sin in cos 20.542 * [backup-simplify]: Simplify sin into sin 20.542 * [taylor]: Taking taylor expansion of (cos (/ 2 x)) in cos 20.542 * [taylor]: Taking taylor expansion of (/ 2 x) in cos 20.542 * [taylor]: Taking taylor expansion of 2 in cos 20.542 * [backup-simplify]: Simplify 2 into 2 20.542 * [taylor]: Taking taylor expansion of x in cos 20.542 * [backup-simplify]: Simplify x into x 20.542 * [backup-simplify]: Simplify (/ 2 x) into (/ 2 x) 20.542 * [backup-simplify]: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) 20.542 * [backup-simplify]: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) 20.543 * [backup-simplify]: Simplify (* 1 1) into 1 20.543 * [backup-simplify]: Simplify (* sin sin) into (pow sin 2) 20.543 * [backup-simplify]: Simplify (* (cos (/ 2 x)) 1) into (cos (/ 2 x)) 20.543 * [backup-simplify]: Simplify (* (sin (/ 2 x)) 0) into 0 20.543 * [backup-simplify]: Simplify (- 0) into 0 20.543 * [backup-simplify]: Simplify (+ (cos (/ 2 x)) 0) into (cos (/ 2 x)) 20.543 * [backup-simplify]: Simplify (* (pow sin 2) (cos (/ 2 x))) into (* (pow sin 2) (cos (/ 2 x))) 20.543 * [backup-simplify]: Simplify (* 1 (* (pow sin 2) (cos (/ 2 x)))) into (* (pow sin 2) (cos (/ 2 x))) 20.543 * [taylor]: Taking taylor expansion of (* (pow sin 2) (cos (/ 2 x))) in sin 20.543 * [taylor]: Taking taylor expansion of (pow sin 2) in sin 20.543 * [taylor]: Taking taylor expansion of sin in sin 20.543 * [backup-simplify]: Simplify 0 into 0 20.543 * [backup-simplify]: Simplify 1 into 1 20.543 * [taylor]: Taking taylor expansion of (cos (/ 2 x)) in sin 20.543 * [taylor]: Taking taylor expansion of (/ 2 x) in sin 20.543 * [taylor]: Taking taylor expansion of 2 in sin 20.543 * [backup-simplify]: Simplify 2 into 2 20.543 * [taylor]: Taking taylor expansion of x in sin 20.543 * [backup-simplify]: Simplify x into x 20.544 * [backup-simplify]: Simplify (/ 2 x) into (/ 2 x) 20.544 * [backup-simplify]: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) 20.544 * [backup-simplify]: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) 20.544 * [backup-simplify]: Simplify (* 1 1) into 1 20.544 * [backup-simplify]: Simplify (* (cos (/ 2 x)) 1) into (cos (/ 2 x)) 20.544 * [backup-simplify]: Simplify (* (sin (/ 2 x)) 0) into 0 20.544 * [backup-simplify]: Simplify (- 0) into 0 20.544 * [backup-simplify]: Simplify (+ (cos (/ 2 x)) 0) into (cos (/ 2 x)) 20.544 * [backup-simplify]: Simplify (* 1 (cos (/ 2 x))) into (cos (/ 2 x)) 20.544 * [backup-simplify]: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) 20.544 * [backup-simplify]: Simplify (+ (* sin 0) (* 0 sin)) into 0 20.545 * [backup-simplify]: Simplify (+ (* (pow sin 2) 0) (* 0 (cos (/ 2 x)))) into 0 20.545 * [backup-simplify]: Simplify (+ (* cos 0) (* 0 cos)) into 0 20.545 * [backup-simplify]: Simplify (+ (* (pow cos 2) 0) (* 0 (* (pow sin 2) (cos (/ 2 x))))) into 0 20.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.549 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (* (pow cos 2) (* (pow sin 2) (cos (/ 2 x)))))) into 0 20.549 * [taylor]: Taking taylor expansion of 0 in cos 20.549 * [backup-simplify]: Simplify 0 into 0 20.549 * [taylor]: Taking taylor expansion of 0 in sin 20.549 * [backup-simplify]: Simplify 0 into 0 20.549 * [backup-simplify]: Simplify 0 into 0 20.550 * [backup-simplify]: Simplify (+ 0) into 0 20.550 * [backup-simplify]: Simplify (+ (* (cos (/ 2 x)) 0) (* 0 1)) into 0 20.550 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 2 x) (/ 0 x)))) into 0 20.551 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.551 * [backup-simplify]: Simplify (+ (* (sin (/ 2 x)) 0) (* 0 0)) into 0 20.552 * [backup-simplify]: Simplify (- 0) into 0 20.552 * [backup-simplify]: Simplify (+ 0 0) into 0 20.552 * [backup-simplify]: Simplify (+ (* sin 0) (* 0 sin)) into 0 20.552 * [backup-simplify]: Simplify (+ (* (pow sin 2) 0) (* 0 (cos (/ 2 x)))) into 0 20.553 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.553 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (* (pow sin 2) (cos (/ 2 x))))) into 0 20.553 * [taylor]: Taking taylor expansion of 0 in sin 20.553 * [backup-simplify]: Simplify 0 into 0 20.553 * [backup-simplify]: Simplify 0 into 0 20.553 * [backup-simplify]: Simplify (+ 0) into 0 20.554 * [backup-simplify]: Simplify (+ (* (cos (/ 2 x)) 0) (* 0 1)) into 0 20.554 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 2 x) (/ 0 x)))) into 0 20.554 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.554 * [backup-simplify]: Simplify (+ (* (sin (/ 2 x)) 0) (* 0 0)) into 0 20.555 * [backup-simplify]: Simplify (- 0) into 0 20.555 * [backup-simplify]: Simplify (+ 0 0) into 0 20.555 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.556 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 2 x)))) into 0 20.556 * [backup-simplify]: Simplify 0 into 0 20.556 * [backup-simplify]: Simplify (+ (* sin 0) (+ (* 0 0) (* 0 sin))) into 0 20.556 * [backup-simplify]: Simplify (+ (* (pow sin 2) 0) (+ (* 0 0) (* 0 (cos (/ 2 x))))) into 0 20.557 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (* 0 cos))) into 0 20.557 * [backup-simplify]: Simplify (+ (* (pow cos 2) 0) (+ (* 0 0) (* 0 (* (pow sin 2) (cos (/ 2 x)))))) into 0 20.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (* (pow cos 2) (* (pow sin 2) (cos (/ 2 x))))))) into 0 20.558 * [taylor]: Taking taylor expansion of 0 in cos 20.558 * [backup-simplify]: Simplify 0 into 0 20.558 * [taylor]: Taking taylor expansion of 0 in sin 20.558 * [backup-simplify]: Simplify 0 into 0 20.558 * [backup-simplify]: Simplify 0 into 0 20.558 * [taylor]: Taking taylor expansion of 0 in sin 20.558 * [backup-simplify]: Simplify 0 into 0 20.558 * [backup-simplify]: Simplify 0 into 0 20.559 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.559 * [backup-simplify]: Simplify (+ (* (cos (/ 2 x)) 0) (+ (* 0 0) (* 0 1))) into 0 20.559 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 2 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 20.560 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.560 * [backup-simplify]: Simplify (+ (* (sin (/ 2 x)) 0) (+ (* 0 0) (* 0 0))) into 0 20.560 * [backup-simplify]: Simplify (- 0) into 0 20.561 * [backup-simplify]: Simplify (+ 0 0) into 0 20.561 * [backup-simplify]: Simplify (+ (* sin 0) (+ (* 0 0) (* 0 sin))) into 0 20.561 * [backup-simplify]: Simplify (+ (* (pow sin 2) 0) (+ (* 0 0) (* 0 (cos (/ 2 x))))) into 0 20.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (* (pow sin 2) (cos (/ 2 x)))))) into 0 20.562 * [taylor]: Taking taylor expansion of 0 in sin 20.562 * [backup-simplify]: Simplify 0 into 0 20.562 * [backup-simplify]: Simplify 0 into 0 20.563 * [backup-simplify]: Simplify (* (cos (/ 2 (/ 1 x))) (pow (* (/ 1 sin) (* (/ 1 cos) (/ 1 x))) 2)) into (/ (cos (* 2 x)) (* (pow cos 2) (* (pow x 2) (pow sin 2)))) 20.563 * [backup-simplify]: Simplify (/ (cos (* 2 (/ 1 (- x)))) (* (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))))) into (* (cos (/ -2 x)) (* (pow x 2) (* (pow cos 2) (pow sin 2)))) 20.563 * [approximate]: Taking taylor expansion of (* (cos (/ -2 x)) (* (pow x 2) (* (pow cos 2) (pow sin 2)))) in (x cos sin) around 0 20.563 * [taylor]: Taking taylor expansion of (* (cos (/ -2 x)) (* (pow x 2) (* (pow cos 2) (pow sin 2)))) in sin 20.563 * [taylor]: Taking taylor expansion of (cos (/ -2 x)) in sin 20.563 * [taylor]: Taking taylor expansion of (/ -2 x) in sin 20.563 * [taylor]: Taking taylor expansion of -2 in sin 20.563 * [backup-simplify]: Simplify -2 into -2 20.563 * [taylor]: Taking taylor expansion of x in sin 20.563 * [backup-simplify]: Simplify x into x 20.563 * [backup-simplify]: Simplify (/ -2 x) into (/ -2 x) 20.563 * [backup-simplify]: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) 20.563 * [backup-simplify]: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) 20.563 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow cos 2) (pow sin 2))) in sin 20.563 * [taylor]: Taking taylor expansion of (pow x 2) in sin 20.563 * [taylor]: Taking taylor expansion of x in sin 20.563 * [backup-simplify]: Simplify x into x 20.563 * [taylor]: Taking taylor expansion of (* (pow cos 2) (pow sin 2)) in sin 20.563 * [taylor]: Taking taylor expansion of (pow cos 2) in sin 20.563 * [taylor]: Taking taylor expansion of cos in sin 20.563 * [backup-simplify]: Simplify cos into cos 20.563 * [taylor]: Taking taylor expansion of (pow sin 2) in sin 20.563 * [taylor]: Taking taylor expansion of sin in sin 20.563 * [backup-simplify]: Simplify 0 into 0 20.563 * [backup-simplify]: Simplify 1 into 1 20.563 * [taylor]: Taking taylor expansion of (* (cos (/ -2 x)) (* (pow x 2) (* (pow cos 2) (pow sin 2)))) in cos 20.563 * [taylor]: Taking taylor expansion of (cos (/ -2 x)) in cos 20.563 * [taylor]: Taking taylor expansion of (/ -2 x) in cos 20.563 * [taylor]: Taking taylor expansion of -2 in cos 20.563 * [backup-simplify]: Simplify -2 into -2 20.563 * [taylor]: Taking taylor expansion of x in cos 20.563 * [backup-simplify]: Simplify x into x 20.563 * [backup-simplify]: Simplify (/ -2 x) into (/ -2 x) 20.563 * [backup-simplify]: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) 20.563 * [backup-simplify]: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) 20.563 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow cos 2) (pow sin 2))) in cos 20.563 * [taylor]: Taking taylor expansion of (pow x 2) in cos 20.564 * [taylor]: Taking taylor expansion of x in cos 20.564 * [backup-simplify]: Simplify x into x 20.564 * [taylor]: Taking taylor expansion of (* (pow cos 2) (pow sin 2)) in cos 20.564 * [taylor]: Taking taylor expansion of (pow cos 2) in cos 20.564 * [taylor]: Taking taylor expansion of cos in cos 20.564 * [backup-simplify]: Simplify 0 into 0 20.564 * [backup-simplify]: Simplify 1 into 1 20.564 * [taylor]: Taking taylor expansion of (pow sin 2) in cos 20.564 * [taylor]: Taking taylor expansion of sin in cos 20.564 * [backup-simplify]: Simplify sin into sin 20.564 * [taylor]: Taking taylor expansion of (* (cos (/ -2 x)) (* (pow x 2) (* (pow cos 2) (pow sin 2)))) in x 20.564 * [taylor]: Taking taylor expansion of (cos (/ -2 x)) in x 20.564 * [taylor]: Taking taylor expansion of (/ -2 x) in x 20.564 * [taylor]: Taking taylor expansion of -2 in x 20.564 * [backup-simplify]: Simplify -2 into -2 20.564 * [taylor]: Taking taylor expansion of x in x 20.564 * [backup-simplify]: Simplify 0 into 0 20.564 * [backup-simplify]: Simplify 1 into 1 20.564 * [backup-simplify]: Simplify (/ -2 1) into -2 20.564 * [backup-simplify]: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) 20.564 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow cos 2) (pow sin 2))) in x 20.564 * [taylor]: Taking taylor expansion of (pow x 2) in x 20.564 * [taylor]: Taking taylor expansion of x in x 20.564 * [backup-simplify]: Simplify 0 into 0 20.564 * [backup-simplify]: Simplify 1 into 1 20.564 * [taylor]: Taking taylor expansion of (* (pow cos 2) (pow sin 2)) in x 20.564 * [taylor]: Taking taylor expansion of (pow cos 2) in x 20.564 * [taylor]: Taking taylor expansion of cos in x 20.564 * [backup-simplify]: Simplify cos into cos 20.564 * [taylor]: Taking taylor expansion of (pow sin 2) in x 20.564 * [taylor]: Taking taylor expansion of sin in x 20.564 * [backup-simplify]: Simplify sin into sin 20.564 * [taylor]: Taking taylor expansion of (* (cos (/ -2 x)) (* (pow x 2) (* (pow cos 2) (pow sin 2)))) in x 20.564 * [taylor]: Taking taylor expansion of (cos (/ -2 x)) in x 20.564 * [taylor]: Taking taylor expansion of (/ -2 x) in x 20.564 * [taylor]: Taking taylor expansion of -2 in x 20.564 * [backup-simplify]: Simplify -2 into -2 20.564 * [taylor]: Taking taylor expansion of x in x 20.564 * [backup-simplify]: Simplify 0 into 0 20.564 * [backup-simplify]: Simplify 1 into 1 20.565 * [backup-simplify]: Simplify (/ -2 1) into -2 20.565 * [backup-simplify]: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) 20.565 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow cos 2) (pow sin 2))) in x 20.565 * [taylor]: Taking taylor expansion of (pow x 2) in x 20.565 * [taylor]: Taking taylor expansion of x in x 20.565 * [backup-simplify]: Simplify 0 into 0 20.565 * [backup-simplify]: Simplify 1 into 1 20.565 * [taylor]: Taking taylor expansion of (* (pow cos 2) (pow sin 2)) in x 20.565 * [taylor]: Taking taylor expansion of (pow cos 2) in x 20.565 * [taylor]: Taking taylor expansion of cos in x 20.565 * [backup-simplify]: Simplify cos into cos 20.565 * [taylor]: Taking taylor expansion of (pow sin 2) in x 20.565 * [taylor]: Taking taylor expansion of sin in x 20.565 * [backup-simplify]: Simplify sin into sin 20.565 * [backup-simplify]: Simplify (* 1 1) into 1 20.565 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 20.565 * [backup-simplify]: Simplify (* sin sin) into (pow sin 2) 20.565 * [backup-simplify]: Simplify (* (pow cos 2) (pow sin 2)) into (* (pow cos 2) (pow sin 2)) 20.565 * [backup-simplify]: Simplify (* 1 (* (pow cos 2) (pow sin 2))) into (* (pow cos 2) (pow sin 2)) 20.566 * [backup-simplify]: Simplify (* (cos (/ -2 x)) (* (pow cos 2) (pow sin 2))) into (* (cos (/ -2 x)) (* (pow cos 2) (pow sin 2))) 20.566 * [taylor]: Taking taylor expansion of (* (cos (/ -2 x)) (* (pow cos 2) (pow sin 2))) in cos 20.566 * [taylor]: Taking taylor expansion of (cos (/ -2 x)) in cos 20.566 * [taylor]: Taking taylor expansion of (/ -2 x) in cos 20.566 * [taylor]: Taking taylor expansion of -2 in cos 20.566 * [backup-simplify]: Simplify -2 into -2 20.566 * [taylor]: Taking taylor expansion of x in cos 20.566 * [backup-simplify]: Simplify x into x 20.566 * [backup-simplify]: Simplify (/ -2 x) into (/ -2 x) 20.566 * [backup-simplify]: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) 20.566 * [backup-simplify]: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) 20.566 * [taylor]: Taking taylor expansion of (* (pow cos 2) (pow sin 2)) in cos 20.566 * [taylor]: Taking taylor expansion of (pow cos 2) in cos 20.566 * [taylor]: Taking taylor expansion of cos in cos 20.566 * [backup-simplify]: Simplify 0 into 0 20.566 * [backup-simplify]: Simplify 1 into 1 20.566 * [taylor]: Taking taylor expansion of (pow sin 2) in cos 20.566 * [taylor]: Taking taylor expansion of sin in cos 20.566 * [backup-simplify]: Simplify sin into sin 20.566 * [backup-simplify]: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) 20.566 * [backup-simplify]: Simplify (* (sin (/ -2 x)) 0) into 0 20.566 * [backup-simplify]: Simplify (- 0) into 0 20.566 * [backup-simplify]: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) 20.567 * [backup-simplify]: Simplify (* 1 1) into 1 20.567 * [backup-simplify]: Simplify (* sin sin) into (pow sin 2) 20.567 * [backup-simplify]: Simplify (* 1 (pow sin 2)) into (pow sin 2) 20.567 * [backup-simplify]: Simplify (* (cos (/ -2 x)) (pow sin 2)) into (* (cos (/ -2 x)) (pow sin 2)) 20.567 * [taylor]: Taking taylor expansion of (* (cos (/ -2 x)) (pow sin 2)) in sin 20.567 * [taylor]: Taking taylor expansion of (cos (/ -2 x)) in sin 20.567 * [taylor]: Taking taylor expansion of (/ -2 x) in sin 20.567 * [taylor]: Taking taylor expansion of -2 in sin 20.567 * [backup-simplify]: Simplify -2 into -2 20.567 * [taylor]: Taking taylor expansion of x in sin 20.567 * [backup-simplify]: Simplify x into x 20.567 * [backup-simplify]: Simplify (/ -2 x) into (/ -2 x) 20.567 * [backup-simplify]: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) 20.567 * [backup-simplify]: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) 20.567 * [taylor]: Taking taylor expansion of (pow sin 2) in sin 20.567 * [taylor]: Taking taylor expansion of sin in sin 20.567 * [backup-simplify]: Simplify 0 into 0 20.567 * [backup-simplify]: Simplify 1 into 1 20.567 * [backup-simplify]: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) 20.567 * [backup-simplify]: Simplify (* (sin (/ -2 x)) 0) into 0 20.567 * [backup-simplify]: Simplify (- 0) into 0 20.567 * [backup-simplify]: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) 20.568 * [backup-simplify]: Simplify (* 1 1) into 1 20.568 * [backup-simplify]: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) 20.568 * [backup-simplify]: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) 20.568 * [backup-simplify]: Simplify (+ (* sin 0) (* 0 sin)) into 0 20.568 * [backup-simplify]: Simplify (+ (* cos 0) (* 0 cos)) into 0 20.568 * [backup-simplify]: Simplify (+ (* (pow cos 2) 0) (* 0 (pow sin 2))) into 0 20.569 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.569 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (* (pow cos 2) (pow sin 2)))) into 0 20.570 * [backup-simplify]: Simplify (+ (* (cos (/ -2 x)) 0) (* 0 (* (pow cos 2) (pow sin 2)))) into 0 20.570 * [taylor]: Taking taylor expansion of 0 in cos 20.570 * [backup-simplify]: Simplify 0 into 0 20.570 * [taylor]: Taking taylor expansion of 0 in sin 20.570 * [backup-simplify]: Simplify 0 into 0 20.570 * [backup-simplify]: Simplify 0 into 0 20.570 * [backup-simplify]: Simplify (+ (* sin 0) (* 0 sin)) into 0 20.570 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow sin 2))) into 0 20.571 * [backup-simplify]: Simplify (+ 0) into 0 20.572 * [backup-simplify]: Simplify (+ (* (cos (/ -2 x)) 0) (* 0 1)) into 0 20.572 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)))) into 0 20.573 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.573 * [backup-simplify]: Simplify (+ (* (sin (/ -2 x)) 0) (* 0 0)) into 0 20.574 * [backup-simplify]: Simplify (- 0) into 0 20.574 * [backup-simplify]: Simplify (+ 0 0) into 0 20.574 * [backup-simplify]: Simplify (+ (* (cos (/ -2 x)) 0) (* 0 (pow sin 2))) into 0 20.575 * [taylor]: Taking taylor expansion of 0 in sin 20.575 * [backup-simplify]: Simplify 0 into 0 20.575 * [backup-simplify]: Simplify 0 into 0 20.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.576 * [backup-simplify]: Simplify (+ 0) into 0 20.576 * [backup-simplify]: Simplify (+ (* (cos (/ -2 x)) 0) (* 0 1)) into 0 20.576 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)))) into 0 20.577 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.578 * [backup-simplify]: Simplify (+ (* (sin (/ -2 x)) 0) (* 0 0)) into 0 20.578 * [backup-simplify]: Simplify (- 0) into 0 20.578 * [backup-simplify]: Simplify (+ 0 0) into 0 20.579 * [backup-simplify]: Simplify (+ (* (cos (/ -2 x)) 0) (* 0 1)) into 0 20.579 * [backup-simplify]: Simplify 0 into 0 20.579 * [backup-simplify]: Simplify (+ (* sin 0) (+ (* 0 0) (* 0 sin))) into 0 20.580 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (* 0 cos))) into 0 20.580 * [backup-simplify]: Simplify (+ (* (pow cos 2) 0) (+ (* 0 0) (* 0 (pow sin 2)))) into 0 20.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (* (pow cos 2) (pow sin 2))))) into 0 20.583 * [backup-simplify]: Simplify (+ (* (cos (/ -2 x)) 0) (+ (* 0 0) (* 0 (* (pow cos 2) (pow sin 2))))) into 0 20.583 * [taylor]: Taking taylor expansion of 0 in cos 20.583 * [backup-simplify]: Simplify 0 into 0 20.583 * [taylor]: Taking taylor expansion of 0 in sin 20.583 * [backup-simplify]: Simplify 0 into 0 20.583 * [backup-simplify]: Simplify 0 into 0 20.583 * [taylor]: Taking taylor expansion of 0 in sin 20.583 * [backup-simplify]: Simplify 0 into 0 20.583 * [backup-simplify]: Simplify 0 into 0 20.583 * [backup-simplify]: Simplify (+ (* sin 0) (+ (* 0 0) (* 0 sin))) into 0 20.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow sin 2)))) into 0 20.586 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.587 * [backup-simplify]: Simplify (+ (* (cos (/ -2 x)) 0) (+ (* 0 0) (* 0 1))) into 0 20.587 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 20.588 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.588 * [backup-simplify]: Simplify (+ (* (sin (/ -2 x)) 0) (+ (* 0 0) (* 0 0))) into 0 20.588 * [backup-simplify]: Simplify (- 0) into 0 20.589 * [backup-simplify]: Simplify (+ 0 0) into 0 20.589 * [backup-simplify]: Simplify (+ (* (cos (/ -2 x)) 0) (+ (* 0 0) (* 0 (pow sin 2)))) into 0 20.589 * [taylor]: Taking taylor expansion of 0 in sin 20.589 * [backup-simplify]: Simplify 0 into 0 20.589 * [backup-simplify]: Simplify 0 into 0 20.590 * [backup-simplify]: Simplify (* (cos (/ -2 (/ 1 (- x)))) (pow (* (/ 1 (- sin)) (* (/ 1 (- cos)) (/ 1 (- x)))) 2)) into (/ (cos (* 2 x)) (* (pow cos 2) (* (pow x 2) (pow sin 2)))) 20.590 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 20.590 * [backup-simplify]: Simplify (* (* (* x cos) sin) (* (* x cos) sin)) into (* (pow x 2) (* (pow cos 2) (pow sin 2))) 20.590 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (pow cos 2) (pow sin 2))) in (x cos sin) around 0 20.590 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow cos 2) (pow sin 2))) in sin 20.590 * [taylor]: Taking taylor expansion of (pow x 2) in sin 20.590 * [taylor]: Taking taylor expansion of x in sin 20.590 * [backup-simplify]: Simplify x into x 20.590 * [taylor]: Taking taylor expansion of (* (pow cos 2) (pow sin 2)) in sin 20.590 * [taylor]: Taking taylor expansion of (pow cos 2) in sin 20.590 * [taylor]: Taking taylor expansion of cos in sin 20.590 * [backup-simplify]: Simplify cos into cos 20.590 * [taylor]: Taking taylor expansion of (pow sin 2) in sin 20.590 * [taylor]: Taking taylor expansion of sin in sin 20.590 * [backup-simplify]: Simplify 0 into 0 20.590 * [backup-simplify]: Simplify 1 into 1 20.590 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow cos 2) (pow sin 2))) in cos 20.590 * [taylor]: Taking taylor expansion of (pow x 2) in cos 20.590 * [taylor]: Taking taylor expansion of x in cos 20.591 * [backup-simplify]: Simplify x into x 20.591 * [taylor]: Taking taylor expansion of (* (pow cos 2) (pow sin 2)) in cos 20.591 * [taylor]: Taking taylor expansion of (pow cos 2) in cos 20.591 * [taylor]: Taking taylor expansion of cos in cos 20.591 * [backup-simplify]: Simplify 0 into 0 20.591 * [backup-simplify]: Simplify 1 into 1 20.591 * [taylor]: Taking taylor expansion of (pow sin 2) in cos 20.591 * [taylor]: Taking taylor expansion of sin in cos 20.591 * [backup-simplify]: Simplify sin into sin 20.591 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow cos 2) (pow sin 2))) in x 20.591 * [taylor]: Taking taylor expansion of (pow x 2) in x 20.591 * [taylor]: Taking taylor expansion of x in x 20.591 * [backup-simplify]: Simplify 0 into 0 20.591 * [backup-simplify]: Simplify 1 into 1 20.591 * [taylor]: Taking taylor expansion of (* (pow cos 2) (pow sin 2)) in x 20.591 * [taylor]: Taking taylor expansion of (pow cos 2) in x 20.591 * [taylor]: Taking taylor expansion of cos in x 20.591 * [backup-simplify]: Simplify cos into cos 20.591 * [taylor]: Taking taylor expansion of (pow sin 2) in x 20.591 * [taylor]: Taking taylor expansion of sin in x 20.591 * [backup-simplify]: Simplify sin into sin 20.591 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow cos 2) (pow sin 2))) in x 20.591 * [taylor]: Taking taylor expansion of (pow x 2) in x 20.591 * [taylor]: Taking taylor expansion of x in x 20.591 * [backup-simplify]: Simplify 0 into 0 20.591 * [backup-simplify]: Simplify 1 into 1 20.591 * [taylor]: Taking taylor expansion of (* (pow cos 2) (pow sin 2)) in x 20.591 * [taylor]: Taking taylor expansion of (pow cos 2) in x 20.591 * [taylor]: Taking taylor expansion of cos in x 20.591 * [backup-simplify]: Simplify cos into cos 20.591 * [taylor]: Taking taylor expansion of (pow sin 2) in x 20.591 * [taylor]: Taking taylor expansion of sin in x 20.591 * [backup-simplify]: Simplify sin into sin 20.592 * [backup-simplify]: Simplify (* 1 1) into 1 20.592 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 20.592 * [backup-simplify]: Simplify (* sin sin) into (pow sin 2) 20.592 * [backup-simplify]: Simplify (* (pow cos 2) (pow sin 2)) into (* (pow cos 2) (pow sin 2)) 20.592 * [backup-simplify]: Simplify (* 1 (* (pow cos 2) (pow sin 2))) into (* (pow cos 2) (pow sin 2)) 20.592 * [taylor]: Taking taylor expansion of (* (pow cos 2) (pow sin 2)) in cos 20.592 * [taylor]: Taking taylor expansion of (pow cos 2) in cos 20.592 * [taylor]: Taking taylor expansion of cos in cos 20.592 * [backup-simplify]: Simplify 0 into 0 20.592 * [backup-simplify]: Simplify 1 into 1 20.592 * [taylor]: Taking taylor expansion of (pow sin 2) in cos 20.592 * [taylor]: Taking taylor expansion of sin in cos 20.592 * [backup-simplify]: Simplify sin into sin 20.593 * [backup-simplify]: Simplify (* 1 1) into 1 20.593 * [backup-simplify]: Simplify (* sin sin) into (pow sin 2) 20.593 * [backup-simplify]: Simplify (* 1 (pow sin 2)) into (pow sin 2) 20.593 * [taylor]: Taking taylor expansion of (pow sin 2) in sin 20.593 * [taylor]: Taking taylor expansion of sin in sin 20.593 * [backup-simplify]: Simplify 0 into 0 20.593 * [backup-simplify]: Simplify 1 into 1 20.593 * [backup-simplify]: Simplify (* 1 1) into 1 20.593 * [backup-simplify]: Simplify 1 into 1 20.594 * [backup-simplify]: Simplify (+ (* sin 0) (* 0 sin)) into 0 20.594 * [backup-simplify]: Simplify (+ (* cos 0) (* 0 cos)) into 0 20.594 * [backup-simplify]: Simplify (+ (* (pow cos 2) 0) (* 0 (pow sin 2))) into 0 20.594 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (* (pow cos 2) (pow sin 2)))) into 0 20.595 * [taylor]: Taking taylor expansion of 0 in cos 20.595 * [backup-simplify]: Simplify 0 into 0 20.595 * [taylor]: Taking taylor expansion of 0 in sin 20.595 * [backup-simplify]: Simplify 0 into 0 20.595 * [backup-simplify]: Simplify 0 into 0 20.595 * [backup-simplify]: Simplify (+ (* sin 0) (* 0 sin)) into 0 20.596 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.596 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow sin 2))) into 0 20.596 * [taylor]: Taking taylor expansion of 0 in sin 20.596 * [backup-simplify]: Simplify 0 into 0 20.596 * [backup-simplify]: Simplify 0 into 0 20.597 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.597 * [backup-simplify]: Simplify 0 into 0 20.598 * [backup-simplify]: Simplify (+ (* sin 0) (+ (* 0 0) (* 0 sin))) into 0 20.598 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (* 0 cos))) into 0 20.599 * [backup-simplify]: Simplify (+ (* (pow cos 2) 0) (+ (* 0 0) (* 0 (pow sin 2)))) into 0 20.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (* (pow cos 2) (pow sin 2))))) into 0 20.601 * [taylor]: Taking taylor expansion of 0 in cos 20.601 * [backup-simplify]: Simplify 0 into 0 20.601 * [taylor]: Taking taylor expansion of 0 in sin 20.601 * [backup-simplify]: Simplify 0 into 0 20.601 * [backup-simplify]: Simplify 0 into 0 20.601 * [taylor]: Taking taylor expansion of 0 in sin 20.601 * [backup-simplify]: Simplify 0 into 0 20.601 * [backup-simplify]: Simplify 0 into 0 20.601 * [backup-simplify]: Simplify (+ (* sin 0) (+ (* 0 0) (* 0 sin))) into 0 20.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow sin 2)))) into 0 20.603 * [taylor]: Taking taylor expansion of 0 in sin 20.603 * [backup-simplify]: Simplify 0 into 0 20.603 * [backup-simplify]: Simplify 0 into 0 20.603 * [backup-simplify]: Simplify (* 1 (pow (* sin (* cos x)) 2)) into (* (pow x 2) (* (pow sin 2) (pow cos 2))) 20.604 * [backup-simplify]: Simplify (* (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) into (/ 1 (* (pow x 2) (* (pow cos 2) (pow sin 2)))) 20.604 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (* (pow cos 2) (pow sin 2)))) in (x cos sin) around 0 20.604 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (* (pow cos 2) (pow sin 2)))) in sin 20.604 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow cos 2) (pow sin 2))) in sin 20.604 * [taylor]: Taking taylor expansion of (pow x 2) in sin 20.604 * [taylor]: Taking taylor expansion of x in sin 20.604 * [backup-simplify]: Simplify x into x 20.604 * [taylor]: Taking taylor expansion of (* (pow cos 2) (pow sin 2)) in sin 20.604 * [taylor]: Taking taylor expansion of (pow cos 2) in sin 20.604 * [taylor]: Taking taylor expansion of cos in sin 20.604 * [backup-simplify]: Simplify cos into cos 20.604 * [taylor]: Taking taylor expansion of (pow sin 2) in sin 20.604 * [taylor]: Taking taylor expansion of sin in sin 20.604 * [backup-simplify]: Simplify 0 into 0 20.604 * [backup-simplify]: Simplify 1 into 1 20.604 * [backup-simplify]: Simplify (* x x) into (pow x 2) 20.604 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 20.605 * [backup-simplify]: Simplify (* 1 1) into 1 20.605 * [backup-simplify]: Simplify (* (pow cos 2) 1) into (pow cos 2) 20.605 * [backup-simplify]: Simplify (* (pow x 2) (pow cos 2)) into (* (pow x 2) (pow cos 2)) 20.605 * [backup-simplify]: Simplify (/ 1 (* (pow x 2) (pow cos 2))) into (/ 1 (* (pow x 2) (pow cos 2))) 20.605 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (* (pow cos 2) (pow sin 2)))) in cos 20.605 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow cos 2) (pow sin 2))) in cos 20.605 * [taylor]: Taking taylor expansion of (pow x 2) in cos 20.605 * [taylor]: Taking taylor expansion of x in cos 20.605 * [backup-simplify]: Simplify x into x 20.605 * [taylor]: Taking taylor expansion of (* (pow cos 2) (pow sin 2)) in cos 20.605 * [taylor]: Taking taylor expansion of (pow cos 2) in cos 20.605 * [taylor]: Taking taylor expansion of cos in cos 20.605 * [backup-simplify]: Simplify 0 into 0 20.605 * [backup-simplify]: Simplify 1 into 1 20.605 * [taylor]: Taking taylor expansion of (pow sin 2) in cos 20.605 * [taylor]: Taking taylor expansion of sin in cos 20.605 * [backup-simplify]: Simplify sin into sin 20.606 * [backup-simplify]: Simplify (* x x) into (pow x 2) 20.606 * [backup-simplify]: Simplify (* 1 1) into 1 20.606 * [backup-simplify]: Simplify (* sin sin) into (pow sin 2) 20.606 * [backup-simplify]: Simplify (* 1 (pow sin 2)) into (pow sin 2) 20.606 * [backup-simplify]: Simplify (* (pow x 2) (pow sin 2)) into (* (pow x 2) (pow sin 2)) 20.606 * [backup-simplify]: Simplify (/ 1 (* (pow x 2) (pow sin 2))) into (/ 1 (* (pow x 2) (pow sin 2))) 20.606 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (* (pow cos 2) (pow sin 2)))) in x 20.606 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow cos 2) (pow sin 2))) in x 20.606 * [taylor]: Taking taylor expansion of (pow x 2) in x 20.606 * [taylor]: Taking taylor expansion of x in x 20.606 * [backup-simplify]: Simplify 0 into 0 20.606 * [backup-simplify]: Simplify 1 into 1 20.606 * [taylor]: Taking taylor expansion of (* (pow cos 2) (pow sin 2)) in x 20.606 * [taylor]: Taking taylor expansion of (pow cos 2) in x 20.607 * [taylor]: Taking taylor expansion of cos in x 20.607 * [backup-simplify]: Simplify cos into cos 20.607 * [taylor]: Taking taylor expansion of (pow sin 2) in x 20.607 * [taylor]: Taking taylor expansion of sin in x 20.607 * [backup-simplify]: Simplify sin into sin 20.607 * [backup-simplify]: Simplify (* 1 1) into 1 20.607 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 20.607 * [backup-simplify]: Simplify (* sin sin) into (pow sin 2) 20.607 * [backup-simplify]: Simplify (* (pow cos 2) (pow sin 2)) into (* (pow cos 2) (pow sin 2)) 20.607 * [backup-simplify]: Simplify (* 1 (* (pow cos 2) (pow sin 2))) into (* (pow cos 2) (pow sin 2)) 20.608 * [backup-simplify]: Simplify (/ 1 (* (pow cos 2) (pow sin 2))) into (/ 1 (* (pow cos 2) (pow sin 2))) 20.608 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (* (pow cos 2) (pow sin 2)))) in x 20.608 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow cos 2) (pow sin 2))) in x 20.608 * [taylor]: Taking taylor expansion of (pow x 2) in x 20.608 * [taylor]: Taking taylor expansion of x in x 20.608 * [backup-simplify]: Simplify 0 into 0 20.608 * [backup-simplify]: Simplify 1 into 1 20.608 * [taylor]: Taking taylor expansion of (* (pow cos 2) (pow sin 2)) in x 20.608 * [taylor]: Taking taylor expansion of (pow cos 2) in x 20.608 * [taylor]: Taking taylor expansion of cos in x 20.608 * [backup-simplify]: Simplify cos into cos 20.608 * [taylor]: Taking taylor expansion of (pow sin 2) in x 20.608 * [taylor]: Taking taylor expansion of sin in x 20.608 * [backup-simplify]: Simplify sin into sin 20.608 * [backup-simplify]: Simplify (* 1 1) into 1 20.608 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 20.608 * [backup-simplify]: Simplify (* sin sin) into (pow sin 2) 20.608 * [backup-simplify]: Simplify (* (pow cos 2) (pow sin 2)) into (* (pow cos 2) (pow sin 2)) 20.609 * [backup-simplify]: Simplify (* 1 (* (pow cos 2) (pow sin 2))) into (* (pow cos 2) (pow sin 2)) 20.609 * [backup-simplify]: Simplify (/ 1 (* (pow cos 2) (pow sin 2))) into (/ 1 (* (pow cos 2) (pow sin 2))) 20.609 * [taylor]: Taking taylor expansion of (/ 1 (* (pow cos 2) (pow sin 2))) in cos 20.609 * [taylor]: Taking taylor expansion of (* (pow cos 2) (pow sin 2)) in cos 20.609 * [taylor]: Taking taylor expansion of (pow cos 2) in cos 20.609 * [taylor]: Taking taylor expansion of cos in cos 20.609 * [backup-simplify]: Simplify 0 into 0 20.609 * [backup-simplify]: Simplify 1 into 1 20.609 * [taylor]: Taking taylor expansion of (pow sin 2) in cos 20.609 * [taylor]: Taking taylor expansion of sin in cos 20.609 * [backup-simplify]: Simplify sin into sin 20.609 * [backup-simplify]: Simplify (* 1 1) into 1 20.610 * [backup-simplify]: Simplify (* sin sin) into (pow sin 2) 20.610 * [backup-simplify]: Simplify (* 1 (pow sin 2)) into (pow sin 2) 20.610 * [backup-simplify]: Simplify (/ 1 (pow sin 2)) into (/ 1 (pow sin 2)) 20.610 * [taylor]: Taking taylor expansion of (/ 1 (pow sin 2)) in sin 20.610 * [taylor]: Taking taylor expansion of (pow sin 2) in sin 20.610 * [taylor]: Taking taylor expansion of sin in sin 20.610 * [backup-simplify]: Simplify 0 into 0 20.610 * [backup-simplify]: Simplify 1 into 1 20.610 * [backup-simplify]: Simplify (* 1 1) into 1 20.611 * [backup-simplify]: Simplify (/ 1 1) into 1 20.611 * [backup-simplify]: Simplify 1 into 1 20.611 * [backup-simplify]: Simplify (+ (* sin 0) (* 0 sin)) into 0 20.611 * [backup-simplify]: Simplify (+ (* cos 0) (* 0 cos)) into 0 20.611 * [backup-simplify]: Simplify (+ (* (pow cos 2) 0) (* 0 (pow sin 2))) into 0 20.612 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.612 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (* (pow cos 2) (pow sin 2)))) into 0 20.612 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow cos 2) (pow sin 2))) (/ 0 (* (pow cos 2) (pow sin 2)))))) into 0 20.613 * [taylor]: Taking taylor expansion of 0 in cos 20.613 * [backup-simplify]: Simplify 0 into 0 20.613 * [backup-simplify]: Simplify (+ (* sin 0) (* 0 sin)) into 0 20.613 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.614 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow sin 2))) into 0 20.614 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow sin 2)) (/ 0 (pow sin 2))))) into 0 20.614 * [taylor]: Taking taylor expansion of 0 in sin 20.614 * [backup-simplify]: Simplify 0 into 0 20.615 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.615 * [backup-simplify]: Simplify 0 into 0 20.616 * [backup-simplify]: Simplify (+ (* sin 0) (+ (* 0 0) (* 0 sin))) into 0 20.616 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (* 0 cos))) into 0 20.617 * [backup-simplify]: Simplify (+ (* (pow cos 2) 0) (+ (* 0 0) (* 0 (pow sin 2)))) into 0 20.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (* (pow cos 2) (pow sin 2))))) into 0 20.619 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow cos 2) (pow sin 2))) (/ 0 (* (pow cos 2) (pow sin 2)))) (* 0 (/ 0 (* (pow cos 2) (pow sin 2)))))) into 0 20.619 * [taylor]: Taking taylor expansion of 0 in cos 20.619 * [backup-simplify]: Simplify 0 into 0 20.620 * [backup-simplify]: Simplify (+ (* sin 0) (+ (* 0 0) (* 0 sin))) into 0 20.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow sin 2)))) into 0 20.622 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow sin 2)) (/ 0 (pow sin 2))) (* 0 (/ 0 (pow sin 2))))) into 0 20.622 * [taylor]: Taking taylor expansion of 0 in sin 20.622 * [backup-simplify]: Simplify 0 into 0 20.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.624 * [backup-simplify]: Simplify 0 into 0 20.625 * [backup-simplify]: Simplify (+ (* sin 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin)))) into 0 20.626 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos)))) into 0 20.627 * [backup-simplify]: Simplify (+ (* (pow cos 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow sin 2))))) into 0 20.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow cos 2) (pow sin 2)))))) into 0 20.630 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow cos 2) (pow sin 2))) (/ 0 (* (pow cos 2) (pow sin 2)))) (* 0 (/ 0 (* (pow cos 2) (pow sin 2)))) (* 0 (/ 0 (* (pow cos 2) (pow sin 2)))))) into 0 20.630 * [taylor]: Taking taylor expansion of 0 in cos 20.630 * [backup-simplify]: Simplify 0 into 0 20.630 * [taylor]: Taking taylor expansion of 0 in sin 20.630 * [backup-simplify]: Simplify 0 into 0 20.631 * [backup-simplify]: Simplify (+ (* sin 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin)))) into 0 20.632 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow sin 2))))) into 0 20.634 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow sin 2)) (/ 0 (pow sin 2))) (* 0 (/ 0 (pow sin 2))) (* 0 (/ 0 (pow sin 2))))) into 0 20.634 * [taylor]: Taking taylor expansion of 0 in sin 20.634 * [backup-simplify]: Simplify 0 into 0 20.634 * [backup-simplify]: Simplify 0 into 0 20.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.637 * [backup-simplify]: Simplify 0 into 0 20.638 * [backup-simplify]: Simplify (+ (* sin 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 20.639 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))) into 0 20.640 * [backup-simplify]: Simplify (+ (* (pow cos 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow sin 2)))))) into 0 20.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 20.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow cos 2) (pow sin 2))))))) into 0 20.644 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow cos 2) (pow sin 2))) (/ 0 (* (pow cos 2) (pow sin 2)))) (* 0 (/ 0 (* (pow cos 2) (pow sin 2)))) (* 0 (/ 0 (* (pow cos 2) (pow sin 2)))) (* 0 (/ 0 (* (pow cos 2) (pow sin 2)))))) into 0 20.644 * [taylor]: Taking taylor expansion of 0 in cos 20.644 * [backup-simplify]: Simplify 0 into 0 20.644 * [taylor]: Taking taylor expansion of 0 in sin 20.644 * [backup-simplify]: Simplify 0 into 0 20.644 * [taylor]: Taking taylor expansion of 0 in sin 20.644 * [backup-simplify]: Simplify 0 into 0 20.645 * [backup-simplify]: Simplify (+ (* sin 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 20.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 20.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow sin 2)))))) into 0 20.648 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow sin 2)) (/ 0 (pow sin 2))) (* 0 (/ 0 (pow sin 2))) (* 0 (/ 0 (pow sin 2))) (* 0 (/ 0 (pow sin 2))))) into 0 20.648 * [taylor]: Taking taylor expansion of 0 in sin 20.648 * [backup-simplify]: Simplify 0 into 0 20.648 * [backup-simplify]: Simplify 0 into 0 20.648 * [backup-simplify]: Simplify 0 into 0 20.649 * [backup-simplify]: Simplify (* 1 (pow (* (/ 1 (/ 1 sin)) (* (/ 1 (/ 1 cos)) (/ 1 (/ 1 x)))) 2)) into (* (pow x 2) (* (pow sin 2) (pow cos 2))) 20.649 * [backup-simplify]: Simplify (* (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) into (/ 1 (* (pow x 2) (* (pow cos 2) (pow sin 2)))) 20.649 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (* (pow cos 2) (pow sin 2)))) in (x cos sin) around 0 20.649 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (* (pow cos 2) (pow sin 2)))) in sin 20.649 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow cos 2) (pow sin 2))) in sin 20.649 * [taylor]: Taking taylor expansion of (pow x 2) in sin 20.649 * [taylor]: Taking taylor expansion of x in sin 20.649 * [backup-simplify]: Simplify x into x 20.649 * [taylor]: Taking taylor expansion of (* (pow cos 2) (pow sin 2)) in sin 20.649 * [taylor]: Taking taylor expansion of (pow cos 2) in sin 20.649 * [taylor]: Taking taylor expansion of cos in sin 20.649 * [backup-simplify]: Simplify cos into cos 20.649 * [taylor]: Taking taylor expansion of (pow sin 2) in sin 20.649 * [taylor]: Taking taylor expansion of sin in sin 20.649 * [backup-simplify]: Simplify 0 into 0 20.649 * [backup-simplify]: Simplify 1 into 1 20.650 * [backup-simplify]: Simplify (* x x) into (pow x 2) 20.650 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 20.650 * [backup-simplify]: Simplify (* 1 1) into 1 20.650 * [backup-simplify]: Simplify (* (pow cos 2) 1) into (pow cos 2) 20.650 * [backup-simplify]: Simplify (* (pow x 2) (pow cos 2)) into (* (pow x 2) (pow cos 2)) 20.650 * [backup-simplify]: Simplify (/ 1 (* (pow x 2) (pow cos 2))) into (/ 1 (* (pow x 2) (pow cos 2))) 20.650 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (* (pow cos 2) (pow sin 2)))) in cos 20.651 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow cos 2) (pow sin 2))) in cos 20.651 * [taylor]: Taking taylor expansion of (pow x 2) in cos 20.651 * [taylor]: Taking taylor expansion of x in cos 20.651 * [backup-simplify]: Simplify x into x 20.651 * [taylor]: Taking taylor expansion of (* (pow cos 2) (pow sin 2)) in cos 20.651 * [taylor]: Taking taylor expansion of (pow cos 2) in cos 20.651 * [taylor]: Taking taylor expansion of cos in cos 20.651 * [backup-simplify]: Simplify 0 into 0 20.651 * [backup-simplify]: Simplify 1 into 1 20.651 * [taylor]: Taking taylor expansion of (pow sin 2) in cos 20.651 * [taylor]: Taking taylor expansion of sin in cos 20.651 * [backup-simplify]: Simplify sin into sin 20.651 * [backup-simplify]: Simplify (* x x) into (pow x 2) 20.651 * [backup-simplify]: Simplify (* 1 1) into 1 20.651 * [backup-simplify]: Simplify (* sin sin) into (pow sin 2) 20.651 * [backup-simplify]: Simplify (* 1 (pow sin 2)) into (pow sin 2) 20.652 * [backup-simplify]: Simplify (* (pow x 2) (pow sin 2)) into (* (pow x 2) (pow sin 2)) 20.652 * [backup-simplify]: Simplify (/ 1 (* (pow x 2) (pow sin 2))) into (/ 1 (* (pow x 2) (pow sin 2))) 20.652 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (* (pow cos 2) (pow sin 2)))) in x 20.652 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow cos 2) (pow sin 2))) in x 20.652 * [taylor]: Taking taylor expansion of (pow x 2) in x 20.652 * [taylor]: Taking taylor expansion of x in x 20.652 * [backup-simplify]: Simplify 0 into 0 20.652 * [backup-simplify]: Simplify 1 into 1 20.652 * [taylor]: Taking taylor expansion of (* (pow cos 2) (pow sin 2)) in x 20.652 * [taylor]: Taking taylor expansion of (pow cos 2) in x 20.652 * [taylor]: Taking taylor expansion of cos in x 20.652 * [backup-simplify]: Simplify cos into cos 20.652 * [taylor]: Taking taylor expansion of (pow sin 2) in x 20.652 * [taylor]: Taking taylor expansion of sin in x 20.652 * [backup-simplify]: Simplify sin into sin 20.652 * [backup-simplify]: Simplify (* 1 1) into 1 20.653 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 20.653 * [backup-simplify]: Simplify (* sin sin) into (pow sin 2) 20.653 * [backup-simplify]: Simplify (* (pow cos 2) (pow sin 2)) into (* (pow cos 2) (pow sin 2)) 20.653 * [backup-simplify]: Simplify (* 1 (* (pow cos 2) (pow sin 2))) into (* (pow cos 2) (pow sin 2)) 20.653 * [backup-simplify]: Simplify (/ 1 (* (pow cos 2) (pow sin 2))) into (/ 1 (* (pow cos 2) (pow sin 2))) 20.653 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (* (pow cos 2) (pow sin 2)))) in x 20.653 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (pow cos 2) (pow sin 2))) in x 20.653 * [taylor]: Taking taylor expansion of (pow x 2) in x 20.653 * [taylor]: Taking taylor expansion of x in x 20.653 * [backup-simplify]: Simplify 0 into 0 20.653 * [backup-simplify]: Simplify 1 into 1 20.653 * [taylor]: Taking taylor expansion of (* (pow cos 2) (pow sin 2)) in x 20.653 * [taylor]: Taking taylor expansion of (pow cos 2) in x 20.653 * [taylor]: Taking taylor expansion of cos in x 20.653 * [backup-simplify]: Simplify cos into cos 20.653 * [taylor]: Taking taylor expansion of (pow sin 2) in x 20.653 * [taylor]: Taking taylor expansion of sin in x 20.653 * [backup-simplify]: Simplify sin into sin 20.654 * [backup-simplify]: Simplify (* 1 1) into 1 20.654 * [backup-simplify]: Simplify (* cos cos) into (pow cos 2) 20.654 * [backup-simplify]: Simplify (* sin sin) into (pow sin 2) 20.654 * [backup-simplify]: Simplify (* (pow cos 2) (pow sin 2)) into (* (pow cos 2) (pow sin 2)) 20.654 * [backup-simplify]: Simplify (* 1 (* (pow cos 2) (pow sin 2))) into (* (pow cos 2) (pow sin 2)) 20.654 * [backup-simplify]: Simplify (/ 1 (* (pow cos 2) (pow sin 2))) into (/ 1 (* (pow cos 2) (pow sin 2))) 20.654 * [taylor]: Taking taylor expansion of (/ 1 (* (pow cos 2) (pow sin 2))) in cos 20.654 * [taylor]: Taking taylor expansion of (* (pow cos 2) (pow sin 2)) in cos 20.655 * [taylor]: Taking taylor expansion of (pow cos 2) in cos 20.655 * [taylor]: Taking taylor expansion of cos in cos 20.655 * [backup-simplify]: Simplify 0 into 0 20.655 * [backup-simplify]: Simplify 1 into 1 20.655 * [taylor]: Taking taylor expansion of (pow sin 2) in cos 20.655 * [taylor]: Taking taylor expansion of sin in cos 20.655 * [backup-simplify]: Simplify sin into sin 20.655 * [backup-simplify]: Simplify (* 1 1) into 1 20.655 * [backup-simplify]: Simplify (* sin sin) into (pow sin 2) 20.655 * [backup-simplify]: Simplify (* 1 (pow sin 2)) into (pow sin 2) 20.655 * [backup-simplify]: Simplify (/ 1 (pow sin 2)) into (/ 1 (pow sin 2)) 20.655 * [taylor]: Taking taylor expansion of (/ 1 (pow sin 2)) in sin 20.655 * [taylor]: Taking taylor expansion of (pow sin 2) in sin 20.655 * [taylor]: Taking taylor expansion of sin in sin 20.655 * [backup-simplify]: Simplify 0 into 0 20.655 * [backup-simplify]: Simplify 1 into 1 20.656 * [backup-simplify]: Simplify (* 1 1) into 1 20.656 * [backup-simplify]: Simplify (/ 1 1) into 1 20.656 * [backup-simplify]: Simplify 1 into 1 20.656 * [backup-simplify]: Simplify (+ (* sin 0) (* 0 sin)) into 0 20.656 * [backup-simplify]: Simplify (+ (* cos 0) (* 0 cos)) into 0 20.657 * [backup-simplify]: Simplify (+ (* (pow cos 2) 0) (* 0 (pow sin 2))) into 0 20.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (* (pow cos 2) (pow sin 2)))) into 0 20.658 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow cos 2) (pow sin 2))) (/ 0 (* (pow cos 2) (pow sin 2)))))) into 0 20.658 * [taylor]: Taking taylor expansion of 0 in cos 20.658 * [backup-simplify]: Simplify 0 into 0 20.658 * [backup-simplify]: Simplify (+ (* sin 0) (* 0 sin)) into 0 20.659 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.659 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow sin 2))) into 0 20.660 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow sin 2)) (/ 0 (pow sin 2))))) into 0 20.660 * [taylor]: Taking taylor expansion of 0 in sin 20.660 * [backup-simplify]: Simplify 0 into 0 20.660 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.661 * [backup-simplify]: Simplify 0 into 0 20.662 * [backup-simplify]: Simplify (+ (* sin 0) (+ (* 0 0) (* 0 sin))) into 0 20.662 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (* 0 cos))) into 0 20.663 * [backup-simplify]: Simplify (+ (* (pow cos 2) 0) (+ (* 0 0) (* 0 (pow sin 2)))) into 0 20.664 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (* (pow cos 2) (pow sin 2))))) into 0 20.665 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow cos 2) (pow sin 2))) (/ 0 (* (pow cos 2) (pow sin 2)))) (* 0 (/ 0 (* (pow cos 2) (pow sin 2)))))) into 0 20.665 * [taylor]: Taking taylor expansion of 0 in cos 20.665 * [backup-simplify]: Simplify 0 into 0 20.666 * [backup-simplify]: Simplify (+ (* sin 0) (+ (* 0 0) (* 0 sin))) into 0 20.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow sin 2)))) into 0 20.668 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow sin 2)) (/ 0 (pow sin 2))) (* 0 (/ 0 (pow sin 2))))) into 0 20.668 * [taylor]: Taking taylor expansion of 0 in sin 20.668 * [backup-simplify]: Simplify 0 into 0 20.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.670 * [backup-simplify]: Simplify 0 into 0 20.671 * [backup-simplify]: Simplify (+ (* sin 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin)))) into 0 20.672 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos)))) into 0 20.672 * [backup-simplify]: Simplify (+ (* (pow cos 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow sin 2))))) into 0 20.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow cos 2) (pow sin 2)))))) into 0 20.675 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow cos 2) (pow sin 2))) (/ 0 (* (pow cos 2) (pow sin 2)))) (* 0 (/ 0 (* (pow cos 2) (pow sin 2)))) (* 0 (/ 0 (* (pow cos 2) (pow sin 2)))))) into 0 20.675 * [taylor]: Taking taylor expansion of 0 in cos 20.676 * [backup-simplify]: Simplify 0 into 0 20.676 * [taylor]: Taking taylor expansion of 0 in sin 20.676 * [backup-simplify]: Simplify 0 into 0 20.676 * [backup-simplify]: Simplify (+ (* sin 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin)))) into 0 20.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow sin 2))))) into 0 20.679 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow sin 2)) (/ 0 (pow sin 2))) (* 0 (/ 0 (pow sin 2))) (* 0 (/ 0 (pow sin 2))))) into 0 20.679 * [taylor]: Taking taylor expansion of 0 in sin 20.679 * [backup-simplify]: Simplify 0 into 0 20.679 * [backup-simplify]: Simplify 0 into 0 20.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.681 * [backup-simplify]: Simplify 0 into 0 20.683 * [backup-simplify]: Simplify (+ (* sin 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 20.684 * [backup-simplify]: Simplify (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))) into 0 20.685 * [backup-simplify]: Simplify (+ (* (pow cos 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow sin 2)))))) into 0 20.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 20.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow cos 2) (pow sin 2))))))) into 0 20.694 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow cos 2) (pow sin 2))) (/ 0 (* (pow cos 2) (pow sin 2)))) (* 0 (/ 0 (* (pow cos 2) (pow sin 2)))) (* 0 (/ 0 (* (pow cos 2) (pow sin 2)))) (* 0 (/ 0 (* (pow cos 2) (pow sin 2)))))) into 0 20.694 * [taylor]: Taking taylor expansion of 0 in cos 20.694 * [backup-simplify]: Simplify 0 into 0 20.694 * [taylor]: Taking taylor expansion of 0 in sin 20.694 * [backup-simplify]: Simplify 0 into 0 20.694 * [taylor]: Taking taylor expansion of 0 in sin 20.694 * [backup-simplify]: Simplify 0 into 0 20.696 * [backup-simplify]: Simplify (+ (* sin 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 20.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 20.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow sin 2)))))) into 0 20.699 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow sin 2)) (/ 0 (pow sin 2))) (* 0 (/ 0 (pow sin 2))) (* 0 (/ 0 (pow sin 2))) (* 0 (/ 0 (pow sin 2))))) into 0 20.699 * [taylor]: Taking taylor expansion of 0 in sin 20.699 * [backup-simplify]: Simplify 0 into 0 20.699 * [backup-simplify]: Simplify 0 into 0 20.699 * [backup-simplify]: Simplify 0 into 0 20.699 * [backup-simplify]: Simplify (* 1 (pow (* (/ 1 (/ 1 (- sin))) (* (/ 1 (/ 1 (- cos))) (/ 1 (/ 1 (- x))))) 2)) into (* (pow x 2) (* (pow sin 2) (pow cos 2))) 20.699 * * * [progress]: simplifying candidates 20.699 * * * * [progress]: [ 1 / 154 ] simplifiying candidate # 20.699 * * * * [progress]: [ 2 / 154 ] simplifiying candidate # 20.700 * * * * [progress]: [ 3 / 154 ] simplifiying candidate # 20.700 * * * * [progress]: [ 4 / 154 ] simplifiying candidate # 20.700 * * * * [progress]: [ 5 / 154 ] simplifiying candidate # 20.700 * * * * [progress]: [ 6 / 154 ] simplifiying candidate # 20.700 * * * * [progress]: [ 7 / 154 ] simplifiying candidate # 20.700 * * * * [progress]: [ 8 / 154 ] simplifiying candidate # 20.700 * * * * [progress]: [ 9 / 154 ] simplifiying candidate # 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[progress]: [ 147 / 154 ] simplifiying candidate # 20.707 * * * * [progress]: [ 148 / 154 ] simplifiying candidate # 20.707 * * * * [progress]: [ 149 / 154 ] simplifiying candidate # 20.707 * * * * [progress]: [ 150 / 154 ] simplifiying candidate # 20.707 * * * * [progress]: [ 151 / 154 ] simplifiying candidate # 20.707 * * * * [progress]: [ 152 / 154 ] simplifiying candidate # 20.707 * * * * [progress]: [ 153 / 154 ] simplifiying candidate # 20.707 * * * * [progress]: [ 154 / 154 ] simplifiying candidate # 20.708 * [simplify]: Simplifying: (expm1 (* (* x cos) sin)) (log1p (* (* x cos) sin)) (* (* x cos) sin) (* (* x cos) sin) (+ (+ (log x) (log cos)) (log sin)) (+ (log (* x cos)) (log sin)) (log (* (* x cos) sin)) (exp (* (* x cos) sin)) (* (* (* (* x x) x) (* (* cos cos) cos)) (* (* sin sin) sin)) (* (* (* (* x cos) (* x cos)) (* x cos)) (* (* sin sin) sin)) (* (cbrt (* (* x cos) sin)) (cbrt (* (* x cos) sin))) (cbrt (* (* x cos) sin)) (* (* (* (* x cos) sin) (* (* x cos) sin)) (* (* x cos) sin)) (sqrt (* (* x cos) sin)) (sqrt (* (* x cos) sin)) (* (* x cos) (* (cbrt sin) (cbrt sin))) (* (* x cos) (sqrt sin)) (* (* x cos) 1) (* cos sin) (expm1 (* (* x cos) sin)) (log1p (* (* x cos) sin)) (* (* x cos) sin) (* (* x cos) sin) (+ (+ (log x) (log cos)) (log sin)) (+ (log (* x cos)) (log sin)) (log (* (* x cos) sin)) (exp (* (* x cos) sin)) (* (* (* (* x x) x) (* (* cos cos) cos)) (* (* sin sin) sin)) (* (* (* (* x cos) (* x cos)) (* x cos)) (* (* sin sin) sin)) (* (cbrt (* (* x cos) sin)) (cbrt (* (* x cos) sin))) (cbrt (* (* x cos) sin)) (* (* (* (* x cos) sin) (* (* x cos) sin)) (* (* x cos) sin)) (sqrt (* (* x cos) sin)) (sqrt (* (* x cos) sin)) (* (* x cos) (* (cbrt sin) (cbrt sin))) (* (* x cos) (sqrt sin)) (* (* x cos) 1) (* cos sin) (expm1 (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin)))) (log1p (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin)))) (- (log (cos (* 2 x))) (+ (+ (+ (log x) (log cos)) (log sin)) (+ (+ (log x) (log cos)) (log sin)))) (- (log (cos (* 2 x))) (+ (+ (+ (log x) (log cos)) (log sin)) (+ (log (* x cos)) (log sin)))) (- (log (cos (* 2 x))) (+ (+ (+ (log x) (log cos)) (log sin)) (log (* (* x cos) sin)))) (- (log (cos (* 2 x))) (+ (+ (log (* x cos)) (log sin)) (+ (+ (log x) (log cos)) (log sin)))) (- (log (cos (* 2 x))) (+ (+ (log (* x cos)) (log sin)) (+ (log (* x cos)) (log sin)))) (- (log (cos (* 2 x))) (+ (+ (log (* x cos)) (log sin)) (log (* (* x cos) sin)))) (- (log (cos (* 2 x))) (+ (log (* (* x cos) sin)) (+ (+ (log x) (log cos)) (log sin)))) (- (log (cos (* 2 x))) (+ (log (* (* x cos) sin)) (+ (log (* x cos)) (log sin)))) (- (log (cos (* 2 x))) (+ (log (* (* x cos) sin)) (log (* (* x cos) sin)))) (- (log (cos (* 2 x))) (log (* (* (* x cos) sin) (* (* x cos) sin)))) (log (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin)))) (exp (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin)))) (/ (* (* (cos (* 2 x)) (cos (* 2 x))) (cos (* 2 x))) (* (* (* (* (* x x) x) (* (* cos cos) cos)) (* (* sin sin) sin)) (* (* (* (* x x) x) (* (* cos cos) cos)) (* (* sin sin) sin)))) (/ (* (* (cos (* 2 x)) (cos (* 2 x))) (cos (* 2 x))) (* (* (* (* (* x x) x) (* (* cos cos) cos)) (* (* sin sin) sin)) (* (* (* (* x cos) (* x cos)) (* x cos)) (* (* sin sin) sin)))) (/ (* (* (cos (* 2 x)) (cos (* 2 x))) (cos (* 2 x))) (* (* (* (* (* x x) x) (* (* cos cos) cos)) (* (* sin sin) sin)) (* (* (* (* x cos) sin) (* (* x cos) sin)) (* (* x cos) sin)))) (/ (* (* (cos (* 2 x)) (cos (* 2 x))) (cos (* 2 x))) (* (* (* (* (* x cos) (* x cos)) (* x cos)) (* (* sin sin) sin)) (* (* (* (* x x) x) (* (* cos cos) cos)) (* (* sin sin) sin)))) (/ (* (* (cos (* 2 x)) (cos (* 2 x))) (cos (* 2 x))) (* (* (* (* (* x cos) (* x cos)) (* x cos)) (* (* sin sin) sin)) (* (* (* (* x cos) (* x cos)) (* x cos)) (* (* sin sin) sin)))) (/ (* (* (cos (* 2 x)) (cos (* 2 x))) (cos (* 2 x))) (* (* (* (* (* x cos) (* x cos)) (* x cos)) (* (* sin sin) sin)) (* (* (* (* x cos) sin) (* (* x cos) sin)) (* (* x cos) sin)))) (/ (* (* (cos (* 2 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cos) sin) (* (* x cos) sin)))) (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin)))) (sqrt (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin)))) (sqrt (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin)))) (- (cos (* 2 x))) (- (* (* (* x cos) sin) (* (* x cos) sin))) (/ (* (cos x) (cos x)) (* (* (* x cos) sin) (* (* x cos) sin))) (/ (* (sin x) (sin x)) (* (* (* x cos) sin) (* (* x cos) sin))) (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (* (* x cos) sin)) (/ (cbrt (cos (* 2 x))) (* (* x cos) sin)) (/ (sqrt (cos (* 2 x))) (* (* x cos) sin)) (/ (sqrt (cos (* 2 x))) (* (* x cos) sin)) (/ 1 (* (* x cos) sin)) (/ (cos (* 2 x)) (* (* x cos) sin)) (/ 1 (* (* (* x cos) sin) (* (* x cos) sin))) (/ (* (* (* x cos) sin) (* (* x cos) sin)) (cos (* 2 x))) (/ (cos (* 2 x)) (* (* x cos) sin)) (/ (* (* (* x cos) sin) (* (* x cos) sin)) (cbrt (cos (* 2 x)))) (/ (* (* (* x cos) sin) (* (* x cos) sin)) (sqrt (cos (* 2 x)))) (/ (* (* (* x cos) sin) (* (* x cos) sin)) (cos (* 2 x))) (expm1 (* (* (* x cos) sin) (* (* x cos) sin))) (log1p (* (* (* x cos) sin) (* (* x cos) sin))) (+ 1 1) (+ 1 1) (+ 1 1) (+ 1 1) (+ 1 1) (+ 1 1) (+ 1 1) (+ 1 1) (+ 1 1) (* (* (* x cos) sin) (* (* x cos) sin)) (* (* (* x cos) sin) (* (* x cos) sin)) (* (* (* x cos) sin) (* (* x cos) sin)) (* (* (* x cos) sin) (* (* x cos) sin)) (* (* (* x cos) sin) (* (* x cos) sin)) (* (* (* x cos) sin) (* (* x cos) sin)) (* (* (* x cos) sin) (* (* x cos) sin)) (* (* (* x cos) sin) (* (* x cos) sin)) (* (* (* x cos) sin) (* (* x cos) sin)) (+ 1 1) (+ 1 1) (+ 1 1) (+ (+ (+ (log x) (log cos)) (log sin)) (+ (+ (log x) (log cos)) (log sin))) (+ (+ (+ (log x) (log cos)) (log sin)) (+ (log (* x cos)) (log sin))) (+ (+ (+ (log x) (log cos)) (log sin)) (log (* (* x cos) sin))) (+ (+ (log (* x cos)) (log sin)) (+ (+ (log x) (log cos)) (log sin))) (+ (+ (log (* x cos)) (log sin)) (+ (log (* x cos)) (log sin))) (+ (+ (log (* x cos)) (log sin)) (log (* (* x cos) sin))) (+ (log (* (* x cos) sin)) (+ (+ (log x) (log 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(* x cos) sin) (* (* x cos) sin)) (* (* x cos) sin)) (* (* (* (* x x) x) (* (* cos cos) cos)) (* (* sin sin) sin))) (* (* (* (* (* x cos) sin) (* (* x cos) sin)) (* (* x cos) sin)) (* (* (* (* x cos) (* x cos)) (* x cos)) (* (* sin sin) sin))) (* (* (* (* (* x cos) sin) (* (* x cos) sin)) (* (* x cos) sin)) (* (* (* (* x cos) sin) (* (* x cos) sin)) (* (* x cos) sin))) (* (cbrt (* (* (* x cos) sin) (* (* x cos) sin))) (cbrt (* (* (* x cos) sin) (* (* x cos) sin)))) (cbrt (* (* (* x cos) sin) (* (* x cos) sin))) (* (* (* (* (* x cos) sin) (* (* x cos) sin)) (* (* (* x cos) sin) (* (* x cos) sin))) (* (* (* x cos) sin) (* (* x cos) sin))) (sqrt (* (* (* x cos) sin) (* (* x cos) sin))) (sqrt (* (* (* x cos) sin) (* (* x cos) sin))) (* (* x cos) (* x cos)) (* sin sin) (* 2 1) (* 2 1) (* 2 1) (* 2 1) (* 2 1) (* 2 1) (* 2 1) (* 2 1) (* 2 1) (* (* (* x cos) sin) (* x cos)) (* sin (* (* x cos) sin)) 0 (* x (* sin cos)) (* x (* sin cos)) 0 (* x (* sin cos)) (* x (* sin cos)) (- (+ (/ 1 (* (pow x 2) (* (pow sin 2) (pow cos 2)))) (* 2/3 (/ (pow x 2) (* (pow sin 2) (pow cos 2))))) (* 2 (/ 1 (* (pow sin 2) (pow cos 2))))) (/ (cos (* 2 x)) (* (pow cos 2) (* (pow x 2) (pow sin 2)))) (/ (cos (* 2 x)) (* (pow cos 2) (* (pow x 2) (pow sin 2)))) (* (pow x 2) (* (pow sin 2) (pow cos 2))) (* (pow x 2) (* (pow sin 2) (pow cos 2))) (* (pow x 2) (* (pow sin 2) (pow cos 2))) 20.710 * * [simplify]: iteration 1: (146 enodes) 20.744 * * [simplify]: iteration 2: (416 enodes) 21.031 * * [simplify]: iteration 3: (1936 enodes) 31.014 * * [simplify]: Extracting #0: cost 51 inf + 0 31.021 * * [simplify]: Extracting #1: cost 1998 inf + 2 31.042 * * [simplify]: Extracting #2: cost 4637 inf + 5788 31.123 * * [simplify]: Extracting #3: cost 3359 inf + 332075 31.578 * * [simplify]: Extracting #4: cost 461 inf + 1272842 32.058 * * [simplify]: Extracting #5: cost 0 inf + 1383204 32.610 * * [simplify]: Extracting #6: cost 0 inf + 1367644 33.084 * * [simplify]: Extracting #7: cost 0 inf + 1367364 33.674 * [simplify]: Simplified to: (expm1 (* x (* sin cos))) (log1p (* x (* sin cos))) (* x (* sin cos)) (* x (* sin cos)) (log (* x (* sin cos))) (log (* x (* sin cos))) (log (* x (* sin cos))) (exp (* x (* sin cos))) (* (* (* x (* sin cos)) (* x (* sin cos))) (* x (* sin cos))) (* (* (* x (* sin cos)) (* x (* sin cos))) (* x (* sin cos))) (* (cbrt (* x (* sin cos))) (cbrt (* x (* sin cos)))) (cbrt (* x (* sin cos))) (* (* (* x (* sin cos)) (* x (* sin cos))) (* x (* sin cos))) (sqrt (* x (* sin cos))) (sqrt (* x (* sin cos))) (* (* (cbrt sin) (* x cos)) (cbrt sin)) (* (* x (sqrt sin)) cos) (* x cos) (* sin cos) (expm1 (* x (* sin cos))) (log1p (* x (* sin cos))) (* x (* sin cos)) (* x (* sin cos)) (log (* x (* sin cos))) (log (* x (* sin cos))) (log (* x (* sin cos))) (exp (* x (* sin cos))) (* (* (* x (* sin cos)) (* x (* sin cos))) (* x (* sin cos))) (* (* (* x (* sin cos)) (* x (* sin cos))) (* x (* sin cos))) (* (cbrt (* x (* sin cos))) (cbrt (* x (* sin cos)))) (cbrt (* x (* sin cos))) (* (* (* x (* sin cos)) (* x (* sin cos))) (* x (* sin cos))) (sqrt (* x (* sin cos))) (sqrt (* x (* sin cos))) (* (* (cbrt sin) (* x cos)) (cbrt sin)) (* (* x (sqrt sin)) cos) (* x cos) (* sin cos) (expm1 (/ (/ (cos (* x 2)) (* x (* sin cos))) (* x (* sin cos)))) (log1p (/ (/ (cos (* x 2)) (* x (* sin cos))) (* x (* sin cos)))) (log (/ (/ (cos (* x 2)) (* x (* sin cos))) (* x (* sin cos)))) (log (/ (/ (cos (* x 2)) (* x (* sin cos))) (* x (* sin cos)))) (log (/ (/ (cos (* x 2)) (* x (* sin cos))) (* x (* sin cos)))) (log (/ (/ (cos (* x 2)) (* x (* sin cos))) (* x (* sin cos)))) (log (/ (/ (cos (* x 2)) (* x (* sin cos))) (* x (* sin cos)))) (log (/ (/ (cos (* x 2)) (* x (* sin cos))) (* x (* sin cos)))) (log (/ (/ (cos (* x 2)) (* x (* sin cos))) (* x (* sin cos)))) (log (/ (/ (cos (* x 2)) (* x (* sin cos))) (* x (* sin cos)))) (log (/ (/ (cos (* x 2)) (* x (* sin cos))) (* x (* sin cos)))) (log (/ (/ (cos (* x 2)) (* x (* sin cos))) (* x (* sin cos)))) (log (/ (/ (cos (* x 2)) (* x 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(+ (log (* x (* sin cos))) (log (* x (* sin cos)))) (+ (log (* x (* sin cos))) (log (* x (* sin cos)))) (+ (log (* x (* sin cos))) (log (* x (* sin cos)))) (+ (log (* x (* sin cos))) (log (* x (* sin cos)))) (exp (* (* x (* sin cos)) (* x (* sin cos)))) (* (* (* x (* sin cos)) (* x (* sin cos))) (* (* (* x (* sin cos)) (* x (* sin cos))) (* (* x (* sin cos)) (* x (* sin cos))))) (* (* (* x (* sin cos)) (* x (* sin cos))) (* (* (* x (* sin cos)) (* x (* sin cos))) (* (* x (* sin cos)) (* x (* sin cos))))) (* (* (* x (* sin cos)) (* x (* sin cos))) (* (* (* x (* sin cos)) (* x (* sin cos))) (* (* x (* sin cos)) (* x (* sin cos))))) (* (* (* x (* sin cos)) (* x (* sin cos))) (* (* (* x (* sin cos)) (* x (* sin cos))) (* (* x (* sin cos)) (* x (* sin cos))))) (* (* (* x (* sin cos)) (* x (* sin cos))) (* (* (* x (* sin cos)) (* x (* sin cos))) (* (* x (* sin cos)) (* x (* sin cos))))) (* (* (* x (* sin cos)) (* x (* sin cos))) (* (* (* x (* sin cos)) (* x (* sin cos))) (* (* x (* sin cos)) (* x (* sin cos))))) (* (* (* x (* sin cos)) (* x (* sin cos))) (* (* (* x (* sin cos)) (* x (* sin cos))) (* (* x (* sin cos)) (* x (* sin cos))))) (* (* (* x (* sin cos)) (* x (* sin cos))) (* (* (* x (* sin cos)) (* x (* sin cos))) (* (* x (* sin cos)) (* x (* sin cos))))) (* (* (* x (* sin cos)) (* x (* sin cos))) (* (* (* x (* sin cos)) (* x (* sin cos))) (* (* x (* sin cos)) (* x (* sin cos))))) (* (cbrt (* (* x (* sin cos)) (* x (* sin cos)))) (cbrt (* (* x (* sin cos)) (* x (* sin cos))))) (cbrt (* (* x (* sin cos)) (* x (* sin cos)))) (* (* (* x (* sin cos)) (* x (* sin cos))) (* (* (* x (* sin cos)) (* x (* sin cos))) (* (* x (* sin cos)) (* x (* sin cos))))) (fabs (* x (* sin cos))) (fabs (* x (* sin cos))) (* (* x cos) (* x cos)) (* sin sin) 2 2 2 2 2 2 2 2 2 (* sin (* (* x cos) (* x cos))) (* cos (* (* sin sin) x)) 0 (* x (* sin cos)) (* x (* sin cos)) 0 (* x (* sin cos)) (* x (* sin cos)) (+ (/ 1 (* (* x (* sin cos)) (* x (* sin cos)))) (fma 2/3 (* (/ x (* sin cos)) (/ x (* sin cos))) (/ -2 (* (* cos sin) (* cos sin))))) (/ (/ (cos (* x 2)) (* x (* sin cos))) (* x (* sin cos))) (/ (/ (cos (* x 2)) (* x (* sin cos))) (* x (* sin cos))) (* (* x (* sin cos)) (* x (* sin cos))) (* (* x (* sin cos)) (* x (* sin cos))) (* (* x (* sin cos)) (* x (* sin cos))) 33.681 * * * [progress]: adding candidates to table 35.165 * [progress]: [Phase 3 of 3] Extracting. 35.165 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 35.167 * * * [regime-changes]: Trying 3 branch expressions: (sin cos x) 35.167 * * * * [regimes]: Trying to branch on sin from (# # # # # # # # # # #) 35.231 * * * * [regimes]: Trying to branch on cos from (# # # # # # # # # # #) 35.300 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # #) 35.382 * * * [regime]: Found split indices: #