17.004 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.073 * * * [progress]: [2/2] Setting up program. 0.077 * [progress]: [Phase 2 of 3] Improving. 0.077 * [simplify]: Simplifying: (/ (- 1.0 (cos x)) (* x x)) 0.077 * * [simplify]: iteration 0: 6 enodes 0.078 * * [simplify]: iteration 1: 13 enodes 0.081 * * [simplify]: iteration 2: 21 enodes 0.084 * * [simplify]: iteration 3: 26 enodes 0.087 * * [simplify]: iteration 4: 28 enodes 0.090 * * [simplify]: iteration complete: 28 enodes 0.090 * * [simplify]: Extracting #0: cost 1 inf + 0 0.090 * * [simplify]: Extracting #1: cost 8 inf + 0 0.090 * * [simplify]: Extracting #2: cost 12 inf + 42 0.091 * * [simplify]: Extracting #3: cost 6 inf + 588 0.091 * * [simplify]: Extracting #4: cost 0 inf + 1319 0.091 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.092 * * [progress]: iteration 1 / 4 0.092 * * * [progress]: picking best candidate 0.113 * * * * [pick]: Picked # 0.113 * * * [progress]: localizing error 0.124 * * * [progress]: generating rewritten candidates 0.124 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.147 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.155 * * * [progress]: generating series expansions 0.155 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.159 * [backup-simplify]: Simplify (/ (- 1.0 (cos x)) (* x x)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.159 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.160 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.160 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.160 * [taylor]: Taking taylor expansion of 1.0 in x 0.160 * [backup-simplify]: Simplify 1.0 into 1.0 0.160 * [taylor]: Taking taylor expansion of (cos x) in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 1 into 1 0.161 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 1 into 1 0.161 * [backup-simplify]: Simplify (- 1) into -1 0.162 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.163 * [backup-simplify]: Simplify (+ 0) into 0 0.163 * [backup-simplify]: Simplify (- 0) into 0 0.163 * [backup-simplify]: Simplify (+ 0 0) into 0 0.164 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.164 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.164 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.165 * [backup-simplify]: Simplify (* 1 1) into 1 0.165 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.165 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.165 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.165 * [taylor]: Taking taylor expansion of 1.0 in x 0.165 * [backup-simplify]: Simplify 1.0 into 1.0 0.165 * [taylor]: Taking taylor expansion of (cos x) in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [backup-simplify]: Simplify (- 1) into -1 0.166 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.166 * [backup-simplify]: Simplify (+ 0) into 0 0.166 * [backup-simplify]: Simplify (- 0) into 0 0.166 * [backup-simplify]: Simplify (+ 0 0) into 0 0.167 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.167 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.168 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.168 * [backup-simplify]: Simplify (* 1 1) into 1 0.168 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.168 * [backup-simplify]: Simplify 1/2 into 1/2 0.169 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.170 * [backup-simplify]: Simplify (- 0) into 0 0.170 * [backup-simplify]: Simplify (+ 0 0) into 0 0.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.171 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 0.173 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.173 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.174 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 0.174 * [backup-simplify]: Simplify -1/24 into -1/24 0.176 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.176 * [backup-simplify]: Simplify (- 0) into 0 0.176 * [backup-simplify]: Simplify (+ 0 0) into 0 0.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.178 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 0.178 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 0.181 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.181 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.183 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 0.183 * [backup-simplify]: Simplify 1/720 into 1/720 0.184 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 0.184 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (* (/ 1 x) (/ 1 x))) into (* (- 1.0 (cos (/ 1 x))) (pow x 2)) 0.184 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in (x) around 0 0.184 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in x 0.184 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.184 * [taylor]: Taking taylor expansion of 1.0 in x 0.184 * [backup-simplify]: Simplify 1.0 into 1.0 0.184 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.184 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.184 * [taylor]: Taking taylor expansion of x in x 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 1 into 1 0.185 * [backup-simplify]: Simplify (/ 1 1) into 1 0.185 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.185 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 1 into 1 0.185 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in x 0.185 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.185 * [taylor]: Taking taylor expansion of 1.0 in x 0.185 * [backup-simplify]: Simplify 1.0 into 1.0 0.185 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.185 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 1 into 1 0.185 * [backup-simplify]: Simplify (/ 1 1) into 1 0.185 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.185 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 1 into 1 0.186 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.186 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.186 * [backup-simplify]: Simplify (* 1 1) into 1 0.186 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 x))) 1) into (- 1.0 (cos (/ 1 x))) 0.186 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.187 * [backup-simplify]: Simplify (- 0) into 0 0.188 * [backup-simplify]: Simplify (+ 0 0) into 0 0.188 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (* 0 1)) into 0 0.188 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.190 * [backup-simplify]: Simplify (- 0) into 0 0.190 * [backup-simplify]: Simplify (+ 0 0) into 0 0.191 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 1))) into 0 0.191 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.192 * [backup-simplify]: Simplify (- 0) into 0 0.193 * [backup-simplify]: Simplify (+ 0 0) into 0 0.194 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.194 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.195 * [backup-simplify]: Simplify (- 0) into 0 0.196 * [backup-simplify]: Simplify (+ 0 0) into 0 0.197 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.197 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.199 * [backup-simplify]: Simplify (- 0) into 0 0.199 * [backup-simplify]: Simplify (+ 0 0) into 0 0.200 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.200 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.202 * [backup-simplify]: Simplify (- 0) into 0 0.202 * [backup-simplify]: Simplify (+ 0 0) into 0 0.213 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.213 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) into (* (pow x 2) (- 1.0 (cos (/ -1 x)))) 0.213 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in (x) around 0 0.213 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in x 0.213 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.214 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.214 * [taylor]: Taking taylor expansion of 1.0 in x 0.214 * [backup-simplify]: Simplify 1.0 into 1.0 0.214 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.214 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.214 * [taylor]: Taking taylor expansion of -1 in x 0.214 * [backup-simplify]: Simplify -1 into -1 0.214 * [taylor]: Taking taylor expansion of x in x 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.214 * [backup-simplify]: Simplify (/ -1 1) into -1 0.215 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.215 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in x 0.215 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 1 into 1 0.215 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.215 * [taylor]: Taking taylor expansion of 1.0 in x 0.215 * [backup-simplify]: Simplify 1.0 into 1.0 0.215 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.215 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.215 * [taylor]: Taking taylor expansion of -1 in x 0.215 * [backup-simplify]: Simplify -1 into -1 0.215 * [taylor]: Taking taylor expansion of x in x 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 1 into 1 0.215 * [backup-simplify]: Simplify (/ -1 1) into -1 0.215 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.216 * [backup-simplify]: Simplify (* 1 1) into 1 0.216 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.216 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.216 * [backup-simplify]: Simplify (* 1 (- 1.0 (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.216 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 0.217 * [backup-simplify]: Simplify (- 0) into 0 0.217 * [backup-simplify]: Simplify (+ 0 0) into 0 0.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1.0 (cos (/ -1 x))))) into 0 0.218 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify (- 0) into 0 0.219 * [backup-simplify]: Simplify (+ 0 0) into 0 0.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))) into 0 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify (- 0) into 0 0.222 * [backup-simplify]: Simplify (+ 0 0) into 0 0.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))) into 0 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify (- 0) into 0 0.225 * [backup-simplify]: Simplify (+ 0 0) into 0 0.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))) into 0 0.227 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify (- 0) into 0 0.228 * [backup-simplify]: Simplify (+ 0 0) into 0 0.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))))) into 0 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify (- 0) into 0 0.233 * [backup-simplify]: Simplify (+ 0 0) into 0 0.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))))) into 0 0.235 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.236 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.236 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 0.236 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.236 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.236 * [taylor]: Taking taylor expansion of 1.0 in x 0.236 * [backup-simplify]: Simplify 1.0 into 1.0 0.236 * [taylor]: Taking taylor expansion of (cos x) in x 0.236 * [taylor]: Taking taylor expansion of x in x 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 1 into 1 0.236 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.236 * [taylor]: Taking taylor expansion of 1.0 in x 0.236 * [backup-simplify]: Simplify 1.0 into 1.0 0.236 * [taylor]: Taking taylor expansion of (cos x) in x 0.236 * [taylor]: Taking taylor expansion of x in x 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 1 into 1 0.236 * [backup-simplify]: Simplify (- 1) into -1 0.236 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.236 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify (+ 0) into 0 0.237 * [backup-simplify]: Simplify (- 0) into 0 0.237 * [backup-simplify]: Simplify (+ 0 0) into 0 0.237 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.238 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.238 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.238 * [backup-simplify]: Simplify 1/2 into 1/2 0.239 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.239 * [backup-simplify]: Simplify (- 0) into 0 0.239 * [backup-simplify]: Simplify (+ 0 0) into 0 0.239 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 0.241 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.241 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.242 * [backup-simplify]: Simplify -1/24 into -1/24 0.243 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.243 * [backup-simplify]: Simplify (- 0) into 0 0.243 * [backup-simplify]: Simplify (+ 0 0) into 0 0.243 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 0.246 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.246 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.246 * [backup-simplify]: Simplify 1/720 into 1/720 0.247 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (pow x 2)))) into (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) 0.247 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.247 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.247 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.247 * [taylor]: Taking taylor expansion of 1.0 in x 0.247 * [backup-simplify]: Simplify 1.0 into 1.0 0.247 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 1 into 1 0.247 * [backup-simplify]: Simplify (/ 1 1) into 1 0.247 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.247 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.247 * [taylor]: Taking taylor expansion of 1.0 in x 0.247 * [backup-simplify]: Simplify 1.0 into 1.0 0.247 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.248 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.248 * [taylor]: Taking taylor expansion of x in x 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [backup-simplify]: Simplify (/ 1 1) into 1 0.248 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.248 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.248 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.248 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.248 * [backup-simplify]: Simplify (- 0) into 0 0.249 * [backup-simplify]: Simplify (+ 0 0) into 0 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify (- 0) into 0 0.249 * [backup-simplify]: Simplify (+ 0 0) into 0 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify (- 0) into 0 0.250 * [backup-simplify]: Simplify (+ 0 0) into 0 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify (- 0) into 0 0.250 * [backup-simplify]: Simplify (+ 0 0) into 0 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify (- 0) into 0 0.251 * [backup-simplify]: Simplify (+ 0 0) into 0 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify (- 0) into 0 0.251 * [backup-simplify]: Simplify (+ 0 0) into 0 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 0.251 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 0.251 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.252 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.252 * [taylor]: Taking taylor expansion of 1.0 in x 0.252 * [backup-simplify]: Simplify 1.0 into 1.0 0.252 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.252 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.252 * [taylor]: Taking taylor expansion of -1 in x 0.252 * [backup-simplify]: Simplify -1 into -1 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 1 into 1 0.252 * [backup-simplify]: Simplify (/ -1 1) into -1 0.252 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.252 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.252 * [taylor]: Taking taylor expansion of 1.0 in x 0.252 * [backup-simplify]: Simplify 1.0 into 1.0 0.252 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.252 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.252 * [taylor]: Taking taylor expansion of -1 in x 0.252 * [backup-simplify]: Simplify -1 into -1 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 1 into 1 0.253 * [backup-simplify]: Simplify (/ -1 1) into -1 0.253 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.253 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.253 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.253 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 0.253 * [backup-simplify]: Simplify (- 0) into 0 0.254 * [backup-simplify]: Simplify (+ 0 0) into 0 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify (- 0) into 0 0.254 * [backup-simplify]: Simplify (+ 0 0) into 0 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify (- 0) into 0 0.255 * [backup-simplify]: Simplify (+ 0 0) into 0 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify (- 0) into 0 0.255 * [backup-simplify]: Simplify (+ 0 0) into 0 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify (- 0) into 0 0.256 * [backup-simplify]: Simplify (+ 0 0) into 0 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify (- 0) into 0 0.256 * [backup-simplify]: Simplify (+ 0 0) into 0 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 0.256 * * * [progress]: simplifying candidates 0.257 * [simplify]: Simplifying: (- (log (- 1.0 (cos x))) (+ (log x) (log x))) (- (log (- 1.0 (cos x))) (log (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (exp (/ (- 1.0 (cos x)) (* x x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (* x x) x) (* (* x x) x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (/ (- 1.0 (cos x)) (* x x))) (cbrt (/ (- 1.0 (cos x)) (* x x)))) (cbrt (/ (- 1.0 (cos x)) (* x x))) (* (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x))) (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (- (- 1.0 (cos x))) (- (* x x)) (/ 1.0 (* x x)) (/ (cos x) (* x x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (* x x)) (/ (* x x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) x) (/ (* x x) (cbrt (- 1.0 (cos x)))) (/ (* x x) (sqrt (- 1.0 (cos x)))) (/ (* x x) (- 1.0 (cos x))) (/ (* x x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (* x x) (- 1.0 (cos x))) (* (* x x) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* (* x x) (+ 1.0 (cos x))) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) 0.258 * * [simplify]: iteration 0: 88 enodes 0.291 * * [simplify]: iteration 1: 217 enodes 0.368 * * [simplify]: iteration 2: 651 enodes 0.840 * * [simplify]: iteration 3: 2415 enodes 1.638 * * [simplify]: iteration complete: 5074 enodes 1.639 * * [simplify]: Extracting #0: cost 41 inf + 0 1.643 * * [simplify]: Extracting #1: cost 1035 inf + 0 1.653 * * [simplify]: Extracting #2: cost 1746 inf + 1562 1.682 * * [simplify]: Extracting #3: cost 1345 inf + 78207 1.768 * * [simplify]: Extracting #4: cost 349 inf + 308780 1.864 * * [simplify]: Extracting #5: cost 35 inf + 397848 1.969 * * [simplify]: Extracting #6: cost 0 inf + 407554 2.055 * [simplify]: Simplified to: (log (/ (/ (- 1.0 (cos x)) x) x)) (log (/ (/ (- 1.0 (cos x)) x) x)) (log (/ (/ (- 1.0 (cos x)) x) x)) (exp (/ (/ (- 1.0 (cos x)) x) x)) (* (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x))) (/ (- 1.0 (cos x)) (* x x))) (* (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x))) (/ (- 1.0 (cos x)) (* x x))) (* (cbrt (/ (/ (- 1.0 (cos x)) x) x)) (cbrt (/ (/ (- 1.0 (cos x)) x) x))) (cbrt (/ (/ (- 1.0 (cos x)) x) x)) (* (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x))) (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (/ (- 1.0 (cos x)) x) x)) (sqrt (/ (/ (- 1.0 (cos x)) x) x)) (+ (- 1.0) (cos x)) (- (* x x)) (/ (/ 1.0 x) x) (/ (cos x) (* x x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt (cos x)) (sqrt 1.0)) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ (/ 1 x) x) (/ x (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x) (/ (* x x) (cbrt (- 1.0 (cos x)))) (* (/ x (sqrt (- 1.0 (cos x)))) x) (/ x (/ (- 1.0 (cos x)) x)) (* (/ x (- (sqrt 1.0) (sqrt (cos x)))) x) (/ x (/ (- 1.0 (cos x)) x)) (* (* x x) (+ (* 1.0 1.0) (* (cos x) (+ 1.0 (cos x))))) (* (* x x) (+ 1.0 (cos x))) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (* 1.0 (* 1.0 1.0)) (* (* (cos x) (cos x)) (cos x))) (+ (* 1.0 1.0) (* (cos x) (+ 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt (cos x)) (sqrt 1.0)) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (+ 1/2 (* (* x x) (- (* (* x x) 1/720) 1/24))) (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (- 1.0 (cos x)) x) x) (+ (* (* (* x x) x) (* (* (* x x) x) 1/720)) (* (* x x) (- 1/2 (* (* x x) 1/24)))) (- 1.0 (cos x)) (- 1.0 (cos x)) 2.057 * * * [progress]: adding candidates to table 2.246 * * [progress]: iteration 2 / 4 2.246 * * * [progress]: picking best candidate 2.291 * * * * [pick]: Picked # 2.291 * * * [progress]: localizing error 2.330 * * * [progress]: generating rewritten candidates 2.330 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 2.340 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 2.350 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 2.425 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 2.448 * * * [progress]: generating series expansions 2.448 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 2.448 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 2.448 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 2.448 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.448 * [taylor]: Taking taylor expansion of 1.0 in x 2.448 * [backup-simplify]: Simplify 1.0 into 1.0 2.448 * [taylor]: Taking taylor expansion of (cos x) in x 2.448 * [taylor]: Taking taylor expansion of x in x 2.448 * [backup-simplify]: Simplify 0 into 0 2.448 * [backup-simplify]: Simplify 1 into 1 2.448 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.448 * [taylor]: Taking taylor expansion of 1.0 in x 2.448 * [backup-simplify]: Simplify 1.0 into 1.0 2.448 * [taylor]: Taking taylor expansion of (cos x) in x 2.448 * [taylor]: Taking taylor expansion of x in x 2.448 * [backup-simplify]: Simplify 0 into 0 2.448 * [backup-simplify]: Simplify 1 into 1 2.449 * [backup-simplify]: Simplify (- 1) into -1 2.449 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 2.449 * [backup-simplify]: Simplify 0 into 0 2.450 * [backup-simplify]: Simplify (+ 0) into 0 2.450 * [backup-simplify]: Simplify (- 0) into 0 2.451 * [backup-simplify]: Simplify (+ 0 0) into 0 2.451 * [backup-simplify]: Simplify 0 into 0 2.452 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.452 * [backup-simplify]: Simplify (- -1/2) into 1/2 2.453 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.453 * [backup-simplify]: Simplify 1/2 into 1/2 2.454 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.454 * [backup-simplify]: Simplify (- 0) into 0 2.455 * [backup-simplify]: Simplify (+ 0 0) into 0 2.455 * [backup-simplify]: Simplify 0 into 0 2.458 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 2.458 * [backup-simplify]: Simplify (- 1/24) into -1/24 2.459 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 2.459 * [backup-simplify]: Simplify -1/24 into -1/24 2.461 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.461 * [backup-simplify]: Simplify (- 0) into 0 2.462 * [backup-simplify]: Simplify (+ 0 0) into 0 2.462 * [backup-simplify]: Simplify 0 into 0 2.467 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 2.467 * [backup-simplify]: Simplify (- -1/720) into 1/720 2.468 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 2.468 * [backup-simplify]: Simplify 1/720 into 1/720 2.469 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (pow x 2)))) into (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) 2.469 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 2.469 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 2.469 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.469 * [taylor]: Taking taylor expansion of 1.0 in x 2.469 * [backup-simplify]: Simplify 1.0 into 1.0 2.469 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.469 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.469 * [taylor]: Taking taylor expansion of x in x 2.469 * [backup-simplify]: Simplify 0 into 0 2.469 * [backup-simplify]: Simplify 1 into 1 2.470 * [backup-simplify]: Simplify (/ 1 1) into 1 2.470 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.470 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.470 * [taylor]: Taking taylor expansion of 1.0 in x 2.470 * [backup-simplify]: Simplify 1.0 into 1.0 2.470 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.470 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.470 * [taylor]: Taking taylor expansion of x in x 2.470 * [backup-simplify]: Simplify 0 into 0 2.470 * [backup-simplify]: Simplify 1 into 1 2.470 * [backup-simplify]: Simplify (/ 1 1) into 1 2.470 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.471 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 2.471 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 2.471 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 2.471 * [backup-simplify]: Simplify (- 0) into 0 2.472 * [backup-simplify]: Simplify (+ 0 0) into 0 2.472 * [backup-simplify]: Simplify 0 into 0 2.472 * [backup-simplify]: Simplify (- 0) into 0 2.473 * [backup-simplify]: Simplify (+ 0 0) into 0 2.473 * [backup-simplify]: Simplify 0 into 0 2.473 * [backup-simplify]: Simplify (- 0) into 0 2.473 * [backup-simplify]: Simplify (+ 0 0) into 0 2.473 * [backup-simplify]: Simplify 0 into 0 2.474 * [backup-simplify]: Simplify (- 0) into 0 2.474 * [backup-simplify]: Simplify (+ 0 0) into 0 2.474 * [backup-simplify]: Simplify 0 into 0 2.475 * [backup-simplify]: Simplify (- 0) into 0 2.475 * [backup-simplify]: Simplify (+ 0 0) into 0 2.475 * [backup-simplify]: Simplify 0 into 0 2.475 * [backup-simplify]: Simplify (- 0) into 0 2.476 * [backup-simplify]: Simplify (+ 0 0) into 0 2.476 * [backup-simplify]: Simplify 0 into 0 2.476 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 2.476 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 2.476 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 2.476 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.476 * [taylor]: Taking taylor expansion of 1.0 in x 2.476 * [backup-simplify]: Simplify 1.0 into 1.0 2.476 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.476 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.476 * [taylor]: Taking taylor expansion of -1 in x 2.476 * [backup-simplify]: Simplify -1 into -1 2.477 * [taylor]: Taking taylor expansion of x in x 2.477 * [backup-simplify]: Simplify 0 into 0 2.477 * [backup-simplify]: Simplify 1 into 1 2.477 * [backup-simplify]: Simplify (/ -1 1) into -1 2.477 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.477 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.477 * [taylor]: Taking taylor expansion of 1.0 in x 2.477 * [backup-simplify]: Simplify 1.0 into 1.0 2.477 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.477 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.477 * [taylor]: Taking taylor expansion of -1 in x 2.477 * [backup-simplify]: Simplify -1 into -1 2.477 * [taylor]: Taking taylor expansion of x in x 2.477 * [backup-simplify]: Simplify 0 into 0 2.477 * [backup-simplify]: Simplify 1 into 1 2.478 * [backup-simplify]: Simplify (/ -1 1) into -1 2.478 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.478 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 2.478 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 2.478 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 2.479 * [backup-simplify]: Simplify (- 0) into 0 2.479 * [backup-simplify]: Simplify (+ 0 0) into 0 2.479 * [backup-simplify]: Simplify 0 into 0 2.480 * [backup-simplify]: Simplify (- 0) into 0 2.480 * [backup-simplify]: Simplify (+ 0 0) into 0 2.480 * [backup-simplify]: Simplify 0 into 0 2.481 * [backup-simplify]: Simplify (- 0) into 0 2.481 * [backup-simplify]: Simplify (+ 0 0) into 0 2.481 * [backup-simplify]: Simplify 0 into 0 2.481 * [backup-simplify]: Simplify (- 0) into 0 2.482 * [backup-simplify]: Simplify (+ 0 0) into 0 2.482 * [backup-simplify]: Simplify 0 into 0 2.482 * [backup-simplify]: Simplify (- 0) into 0 2.483 * [backup-simplify]: Simplify (+ 0 0) into 0 2.483 * [backup-simplify]: Simplify 0 into 0 2.483 * [backup-simplify]: Simplify (- 0) into 0 2.484 * [backup-simplify]: Simplify (+ 0 0) into 0 2.484 * [backup-simplify]: Simplify 0 into 0 2.484 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 2.484 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 2.484 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 2.484 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 2.484 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.484 * [taylor]: Taking taylor expansion of 1.0 in x 2.484 * [backup-simplify]: Simplify 1.0 into 1.0 2.484 * [taylor]: Taking taylor expansion of (cos x) in x 2.484 * [taylor]: Taking taylor expansion of x in x 2.484 * [backup-simplify]: Simplify 0 into 0 2.484 * [backup-simplify]: Simplify 1 into 1 2.484 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.484 * [taylor]: Taking taylor expansion of 1.0 in x 2.484 * [backup-simplify]: Simplify 1.0 into 1.0 2.484 * [taylor]: Taking taylor expansion of (cos x) in x 2.485 * [taylor]: Taking taylor expansion of x in x 2.485 * [backup-simplify]: Simplify 0 into 0 2.485 * [backup-simplify]: Simplify 1 into 1 2.485 * [backup-simplify]: Simplify (- 1) into -1 2.486 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 2.486 * [backup-simplify]: Simplify 0 into 0 2.486 * [backup-simplify]: Simplify (+ 0) into 0 2.486 * [backup-simplify]: Simplify (- 0) into 0 2.487 * [backup-simplify]: Simplify (+ 0 0) into 0 2.487 * [backup-simplify]: Simplify 0 into 0 2.488 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.488 * [backup-simplify]: Simplify (- -1/2) into 1/2 2.489 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.489 * [backup-simplify]: Simplify 1/2 into 1/2 2.490 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.490 * [backup-simplify]: Simplify (- 0) into 0 2.491 * [backup-simplify]: Simplify (+ 0 0) into 0 2.491 * [backup-simplify]: Simplify 0 into 0 2.494 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 2.494 * [backup-simplify]: Simplify (- 1/24) into -1/24 2.495 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 2.495 * [backup-simplify]: Simplify -1/24 into -1/24 2.497 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.498 * [backup-simplify]: Simplify (- 0) into 0 2.498 * [backup-simplify]: Simplify (+ 0 0) into 0 2.498 * [backup-simplify]: Simplify 0 into 0 2.504 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 2.505 * [backup-simplify]: Simplify (- -1/720) into 1/720 2.506 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 2.506 * [backup-simplify]: Simplify 1/720 into 1/720 2.507 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (pow x 2)))) into (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) 2.507 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 2.507 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 2.507 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.507 * [taylor]: Taking taylor expansion of 1.0 in x 2.507 * [backup-simplify]: Simplify 1.0 into 1.0 2.507 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.507 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.507 * [taylor]: Taking taylor expansion of x in x 2.507 * [backup-simplify]: Simplify 0 into 0 2.507 * [backup-simplify]: Simplify 1 into 1 2.508 * [backup-simplify]: Simplify (/ 1 1) into 1 2.508 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.508 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.508 * [taylor]: Taking taylor expansion of 1.0 in x 2.508 * [backup-simplify]: Simplify 1.0 into 1.0 2.508 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.508 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.508 * [taylor]: Taking taylor expansion of x in x 2.508 * [backup-simplify]: Simplify 0 into 0 2.508 * [backup-simplify]: Simplify 1 into 1 2.509 * [backup-simplify]: Simplify (/ 1 1) into 1 2.509 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.509 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 2.509 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 2.509 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 2.510 * [backup-simplify]: Simplify (- 0) into 0 2.510 * [backup-simplify]: Simplify (+ 0 0) into 0 2.510 * [backup-simplify]: Simplify 0 into 0 2.511 * [backup-simplify]: Simplify (- 0) into 0 2.511 * [backup-simplify]: Simplify (+ 0 0) into 0 2.511 * [backup-simplify]: Simplify 0 into 0 2.512 * [backup-simplify]: Simplify (- 0) into 0 2.512 * [backup-simplify]: Simplify (+ 0 0) into 0 2.512 * [backup-simplify]: Simplify 0 into 0 2.513 * [backup-simplify]: Simplify (- 0) into 0 2.513 * [backup-simplify]: Simplify (+ 0 0) into 0 2.513 * [backup-simplify]: Simplify 0 into 0 2.513 * [backup-simplify]: Simplify (- 0) into 0 2.514 * [backup-simplify]: Simplify (+ 0 0) into 0 2.514 * [backup-simplify]: Simplify 0 into 0 2.514 * [backup-simplify]: Simplify (- 0) into 0 2.515 * [backup-simplify]: Simplify (+ 0 0) into 0 2.515 * [backup-simplify]: Simplify 0 into 0 2.515 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 2.515 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 2.515 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 2.515 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.515 * [taylor]: Taking taylor expansion of 1.0 in x 2.515 * [backup-simplify]: Simplify 1.0 into 1.0 2.515 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.515 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.515 * [taylor]: Taking taylor expansion of -1 in x 2.515 * [backup-simplify]: Simplify -1 into -1 2.515 * [taylor]: Taking taylor expansion of x in x 2.515 * [backup-simplify]: Simplify 0 into 0 2.515 * [backup-simplify]: Simplify 1 into 1 2.516 * [backup-simplify]: Simplify (/ -1 1) into -1 2.516 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.516 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.516 * [taylor]: Taking taylor expansion of 1.0 in x 2.516 * [backup-simplify]: Simplify 1.0 into 1.0 2.516 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.516 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.516 * [taylor]: Taking taylor expansion of -1 in x 2.516 * [backup-simplify]: Simplify -1 into -1 2.516 * [taylor]: Taking taylor expansion of x in x 2.516 * [backup-simplify]: Simplify 0 into 0 2.516 * [backup-simplify]: Simplify 1 into 1 2.517 * [backup-simplify]: Simplify (/ -1 1) into -1 2.517 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.517 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 2.517 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 2.517 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 2.518 * [backup-simplify]: Simplify (- 0) into 0 2.518 * [backup-simplify]: Simplify (+ 0 0) into 0 2.518 * [backup-simplify]: Simplify 0 into 0 2.518 * [backup-simplify]: Simplify (- 0) into 0 2.519 * [backup-simplify]: Simplify (+ 0 0) into 0 2.519 * [backup-simplify]: Simplify 0 into 0 2.519 * [backup-simplify]: Simplify (- 0) into 0 2.520 * [backup-simplify]: Simplify (+ 0 0) into 0 2.520 * [backup-simplify]: Simplify 0 into 0 2.520 * [backup-simplify]: Simplify (- 0) into 0 2.520 * [backup-simplify]: Simplify (+ 0 0) into 0 2.520 * [backup-simplify]: Simplify 0 into 0 2.521 * [backup-simplify]: Simplify (- 0) into 0 2.521 * [backup-simplify]: Simplify (+ 0 0) into 0 2.521 * [backup-simplify]: Simplify 0 into 0 2.522 * [backup-simplify]: Simplify (- 0) into 0 2.522 * [backup-simplify]: Simplify (+ 0 0) into 0 2.522 * [backup-simplify]: Simplify 0 into 0 2.522 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 2.522 * * * * [progress]: [ 3 / 4 ] generating series at (2) 2.523 * [backup-simplify]: Simplify (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x)) into (/ (- 1.0 (cos x)) (pow x 2)) 2.523 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 2.523 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 2.523 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.523 * [taylor]: Taking taylor expansion of 1.0 in x 2.523 * [backup-simplify]: Simplify 1.0 into 1.0 2.523 * [taylor]: Taking taylor expansion of (cos x) in x 2.523 * [taylor]: Taking taylor expansion of x in x 2.523 * [backup-simplify]: Simplify 0 into 0 2.523 * [backup-simplify]: Simplify 1 into 1 2.523 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.523 * [taylor]: Taking taylor expansion of x in x 2.523 * [backup-simplify]: Simplify 0 into 0 2.523 * [backup-simplify]: Simplify 1 into 1 2.524 * [backup-simplify]: Simplify (- 1) into -1 2.524 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 2.524 * [backup-simplify]: Simplify (+ 0) into 0 2.525 * [backup-simplify]: Simplify (- 0) into 0 2.525 * [backup-simplify]: Simplify (+ 0 0) into 0 2.526 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.527 * [backup-simplify]: Simplify (- -1/2) into 1/2 2.527 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.528 * [backup-simplify]: Simplify (* 1 1) into 1 2.528 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.528 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 2.529 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.529 * [taylor]: Taking taylor expansion of 1.0 in x 2.529 * [backup-simplify]: Simplify 1.0 into 1.0 2.529 * [taylor]: Taking taylor expansion of (cos x) in x 2.529 * [taylor]: Taking taylor expansion of x in x 2.529 * [backup-simplify]: Simplify 0 into 0 2.529 * [backup-simplify]: Simplify 1 into 1 2.529 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.529 * [taylor]: Taking taylor expansion of x in x 2.529 * [backup-simplify]: Simplify 0 into 0 2.529 * [backup-simplify]: Simplify 1 into 1 2.529 * [backup-simplify]: Simplify (- 1) into -1 2.530 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 2.530 * [backup-simplify]: Simplify (+ 0) into 0 2.531 * [backup-simplify]: Simplify (- 0) into 0 2.531 * [backup-simplify]: Simplify (+ 0 0) into 0 2.532 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.533 * [backup-simplify]: Simplify (- -1/2) into 1/2 2.533 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.534 * [backup-simplify]: Simplify (* 1 1) into 1 2.534 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.534 * [backup-simplify]: Simplify 1/2 into 1/2 2.535 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.536 * [backup-simplify]: Simplify (- 0) into 0 2.536 * [backup-simplify]: Simplify (+ 0 0) into 0 2.537 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.538 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.538 * [backup-simplify]: Simplify 0 into 0 2.541 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 2.541 * [backup-simplify]: Simplify (- 1/24) into -1/24 2.541 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 2.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.544 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 2.544 * [backup-simplify]: Simplify -1/24 into -1/24 2.546 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.546 * [backup-simplify]: Simplify (- 0) into 0 2.547 * [backup-simplify]: Simplify (+ 0 0) into 0 2.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.549 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 2.549 * [backup-simplify]: Simplify 0 into 0 2.554 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 2.555 * [backup-simplify]: Simplify (- -1/720) into 1/720 2.555 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 2.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.558 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 2.558 * [backup-simplify]: Simplify 1/720 into 1/720 2.559 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 2.559 * [backup-simplify]: Simplify (* (/ (sqrt (- 1.0 (cos (/ 1 x)))) (/ 1 x)) (/ (sqrt (- 1.0 (cos (/ 1 x)))) (/ 1 x))) into (* (- 1.0 (cos (/ 1 x))) (pow x 2)) 2.559 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in (x) around 0 2.559 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in x 2.559 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.559 * [taylor]: Taking taylor expansion of 1.0 in x 2.559 * [backup-simplify]: Simplify 1.0 into 1.0 2.559 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.559 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.559 * [taylor]: Taking taylor expansion of x in x 2.559 * [backup-simplify]: Simplify 0 into 0 2.559 * [backup-simplify]: Simplify 1 into 1 2.560 * [backup-simplify]: Simplify (/ 1 1) into 1 2.560 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.560 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.560 * [taylor]: Taking taylor expansion of x in x 2.560 * [backup-simplify]: Simplify 0 into 0 2.560 * [backup-simplify]: Simplify 1 into 1 2.560 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in x 2.560 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.560 * [taylor]: Taking taylor expansion of 1.0 in x 2.560 * [backup-simplify]: Simplify 1.0 into 1.0 2.560 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.560 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.560 * [taylor]: Taking taylor expansion of x in x 2.560 * [backup-simplify]: Simplify 0 into 0 2.560 * [backup-simplify]: Simplify 1 into 1 2.561 * [backup-simplify]: Simplify (/ 1 1) into 1 2.561 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.561 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.561 * [taylor]: Taking taylor expansion of x in x 2.561 * [backup-simplify]: Simplify 0 into 0 2.561 * [backup-simplify]: Simplify 1 into 1 2.561 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 2.561 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 2.561 * [backup-simplify]: Simplify (* 1 1) into 1 2.562 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 x))) 1) into (- 1.0 (cos (/ 1 x))) 2.562 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 2.562 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.563 * [backup-simplify]: Simplify (- 0) into 0 2.563 * [backup-simplify]: Simplify (+ 0 0) into 0 2.564 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (* 0 1)) into 0 2.564 * [backup-simplify]: Simplify 0 into 0 2.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.565 * [backup-simplify]: Simplify (- 0) into 0 2.566 * [backup-simplify]: Simplify (+ 0 0) into 0 2.566 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 1))) into 0 2.567 * [backup-simplify]: Simplify 0 into 0 2.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.568 * [backup-simplify]: Simplify (- 0) into 0 2.568 * [backup-simplify]: Simplify (+ 0 0) into 0 2.569 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.569 * [backup-simplify]: Simplify 0 into 0 2.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.571 * [backup-simplify]: Simplify (- 0) into 0 2.571 * [backup-simplify]: Simplify (+ 0 0) into 0 2.572 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.572 * [backup-simplify]: Simplify 0 into 0 2.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.574 * [backup-simplify]: Simplify (- 0) into 0 2.575 * [backup-simplify]: Simplify (+ 0 0) into 0 2.576 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.576 * [backup-simplify]: Simplify 0 into 0 2.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.578 * [backup-simplify]: Simplify (- 0) into 0 2.578 * [backup-simplify]: Simplify (+ 0 0) into 0 2.580 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.580 * [backup-simplify]: Simplify 0 into 0 2.580 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 2.581 * [backup-simplify]: Simplify (* (/ (sqrt (- 1.0 (cos (/ 1 (- x))))) (/ 1 (- x))) (/ (sqrt (- 1.0 (cos (/ 1 (- x))))) (/ 1 (- x)))) into (* (pow x 2) (- 1.0 (cos (/ -1 x)))) 2.581 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in (x) around 0 2.581 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in x 2.581 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.581 * [taylor]: Taking taylor expansion of x in x 2.581 * [backup-simplify]: Simplify 0 into 0 2.581 * [backup-simplify]: Simplify 1 into 1 2.581 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.581 * [taylor]: Taking taylor expansion of 1.0 in x 2.581 * [backup-simplify]: Simplify 1.0 into 1.0 2.581 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.581 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.581 * [taylor]: Taking taylor expansion of -1 in x 2.581 * [backup-simplify]: Simplify -1 into -1 2.581 * [taylor]: Taking taylor expansion of x in x 2.581 * [backup-simplify]: Simplify 0 into 0 2.581 * [backup-simplify]: Simplify 1 into 1 2.582 * [backup-simplify]: Simplify (/ -1 1) into -1 2.582 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.582 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in x 2.582 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.582 * [taylor]: Taking taylor expansion of x in x 2.582 * [backup-simplify]: Simplify 0 into 0 2.582 * [backup-simplify]: Simplify 1 into 1 2.582 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.582 * [taylor]: Taking taylor expansion of 1.0 in x 2.582 * [backup-simplify]: Simplify 1.0 into 1.0 2.582 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.582 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.582 * [taylor]: Taking taylor expansion of -1 in x 2.582 * [backup-simplify]: Simplify -1 into -1 2.582 * [taylor]: Taking taylor expansion of x in x 2.582 * [backup-simplify]: Simplify 0 into 0 2.582 * [backup-simplify]: Simplify 1 into 1 2.583 * [backup-simplify]: Simplify (/ -1 1) into -1 2.583 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.583 * [backup-simplify]: Simplify (* 1 1) into 1 2.583 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 2.583 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 2.584 * [backup-simplify]: Simplify (* 1 (- 1.0 (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 2.584 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 2.584 * [backup-simplify]: Simplify (- 0) into 0 2.585 * [backup-simplify]: Simplify (+ 0 0) into 0 2.585 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.586 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1.0 (cos (/ -1 x))))) into 0 2.586 * [backup-simplify]: Simplify 0 into 0 2.586 * [backup-simplify]: Simplify (- 0) into 0 2.587 * [backup-simplify]: Simplify (+ 0 0) into 0 2.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))) into 0 2.588 * [backup-simplify]: Simplify 0 into 0 2.589 * [backup-simplify]: Simplify (- 0) into 0 2.589 * [backup-simplify]: Simplify (+ 0 0) into 0 2.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))) into 0 2.592 * [backup-simplify]: Simplify 0 into 0 2.592 * [backup-simplify]: Simplify (- 0) into 0 2.592 * [backup-simplify]: Simplify (+ 0 0) into 0 2.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))) into 0 2.595 * [backup-simplify]: Simplify 0 into 0 2.602 * [backup-simplify]: Simplify (- 0) into 0 2.604 * [backup-simplify]: Simplify (+ 0 0) into 0 2.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))))) into 0 2.608 * [backup-simplify]: Simplify 0 into 0 2.609 * [backup-simplify]: Simplify (- 0) into 0 2.609 * [backup-simplify]: Simplify (+ 0 0) into 0 2.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))))) into 0 2.613 * [backup-simplify]: Simplify 0 into 0 2.613 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 2.614 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 2.614 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (cos x))) x) into (* (/ 1 x) (sqrt (- 1.0 (cos x)))) 2.614 * [approximate]: Taking taylor expansion of (* (/ 1 x) (sqrt (- 1.0 (cos x)))) in (x) around 0 2.614 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- 1.0 (cos x)))) in x 2.614 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.614 * [taylor]: Taking taylor expansion of x in x 2.614 * [backup-simplify]: Simplify 0 into 0 2.614 * [backup-simplify]: Simplify 1 into 1 2.614 * [backup-simplify]: Simplify (/ 1 1) into 1 2.614 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 2.614 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.614 * [taylor]: Taking taylor expansion of 1.0 in x 2.614 * [backup-simplify]: Simplify 1.0 into 1.0 2.614 * [taylor]: Taking taylor expansion of (cos x) in x 2.615 * [taylor]: Taking taylor expansion of x in x 2.615 * [backup-simplify]: Simplify 0 into 0 2.615 * [backup-simplify]: Simplify 1 into 1 2.615 * [backup-simplify]: Simplify (- 1) into -1 2.616 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 2.616 * [backup-simplify]: Simplify (+ 0) into 0 2.617 * [backup-simplify]: Simplify (- 0) into 0 2.617 * [backup-simplify]: Simplify (+ 0 0) into 0 2.618 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.618 * [backup-simplify]: Simplify (- -1/2) into 1/2 2.619 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.619 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 2.621 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.621 * [backup-simplify]: Simplify (- 0) into 0 2.621 * [backup-simplify]: Simplify (+ 0 0) into 0 2.622 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 2.622 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- 1.0 (cos x)))) in x 2.622 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.622 * [taylor]: Taking taylor expansion of x in x 2.622 * [backup-simplify]: Simplify 0 into 0 2.622 * [backup-simplify]: Simplify 1 into 1 2.623 * [backup-simplify]: Simplify (/ 1 1) into 1 2.623 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 2.623 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.623 * [taylor]: Taking taylor expansion of 1.0 in x 2.623 * [backup-simplify]: Simplify 1.0 into 1.0 2.623 * [taylor]: Taking taylor expansion of (cos x) in x 2.623 * [taylor]: Taking taylor expansion of x in x 2.623 * [backup-simplify]: Simplify 0 into 0 2.623 * [backup-simplify]: Simplify 1 into 1 2.623 * [backup-simplify]: Simplify (- 1) into -1 2.624 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 2.624 * [backup-simplify]: Simplify (+ 0) into 0 2.625 * [backup-simplify]: Simplify (- 0) into 0 2.625 * [backup-simplify]: Simplify (+ 0 0) into 0 2.626 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.626 * [backup-simplify]: Simplify (- -1/2) into 1/2 2.627 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.627 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 2.628 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.629 * [backup-simplify]: Simplify (- 0) into 0 2.629 * [backup-simplify]: Simplify (+ 0 0) into 0 2.630 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 2.631 * [backup-simplify]: Simplify (* 1 (sqrt 1/2)) into (sqrt 1/2) 2.631 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 2.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.633 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 1/2))) into 0 2.633 * [backup-simplify]: Simplify 0 into 0 2.637 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 2.637 * [backup-simplify]: Simplify (- 1/24) into -1/24 2.637 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 2.640 * [backup-simplify]: Simplify (/ (- -1/24 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/48 (sqrt 1/2)) 2.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.645 * [backup-simplify]: Simplify (+ (* 1 (/ -1/48 (sqrt 1/2))) (+ (* 0 0) (* 0 (sqrt 1/2)))) into (- (* 1/48 (/ 1 (sqrt 1/2)))) 2.648 * [backup-simplify]: Simplify (- (* 1/48 (/ 1 (sqrt 1/2)))) into (- (* 1/48 (/ 1 (sqrt 1/2)))) 2.650 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.650 * [backup-simplify]: Simplify (- 0) into 0 2.650 * [backup-simplify]: Simplify (+ 0 0) into 0 2.651 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/48 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into 0 2.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ -1/48 (sqrt 1/2))) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 2.653 * [backup-simplify]: Simplify 0 into 0 2.655 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 2.656 * [backup-simplify]: Simplify (- -1/720) into 1/720 2.656 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 2.660 * [backup-simplify]: Simplify (/ (- 1/720 (pow (/ -1/48 (sqrt 1/2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) 2.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.669 * [backup-simplify]: Simplify (+ (* 1 (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2)))) (+ (* 0 0) (+ (* 0 (/ -1/48 (sqrt 1/2))) (+ (* 0 0) (* 0 (sqrt 1/2)))))) into (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) 2.673 * [backup-simplify]: Simplify (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) 2.678 * [backup-simplify]: Simplify (+ (* (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) (pow x 4)) (+ (* (- (* 1/48 (/ 1 (sqrt 1/2)))) (pow x 2)) (sqrt 1/2))) into (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (+ (* 1/48 (/ (pow x 2) (sqrt 1/2))) (* 1/4608 (/ (pow x 4) (pow (sqrt 1/2) 3))))) 2.679 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (cos (/ 1 x)))) (/ 1 x)) into (* (sqrt (- 1.0 (cos (/ 1 x)))) x) 2.679 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ 1 x)))) x) in (x) around 0 2.679 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ 1 x)))) x) in x 2.679 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 2.679 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.679 * [taylor]: Taking taylor expansion of 1.0 in x 2.679 * [backup-simplify]: Simplify 1.0 into 1.0 2.679 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.679 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.679 * [taylor]: Taking taylor expansion of x in x 2.679 * [backup-simplify]: Simplify 0 into 0 2.679 * [backup-simplify]: Simplify 1 into 1 2.679 * [backup-simplify]: Simplify (/ 1 1) into 1 2.679 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.679 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 2.679 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 2.679 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ 1 x)))) into (sqrt (- 1.0 (cos (/ 1 x)))) 2.680 * [backup-simplify]: Simplify (- 0) into 0 2.680 * [backup-simplify]: Simplify (+ 0 0) into 0 2.680 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 2.680 * [taylor]: Taking taylor expansion of x in x 2.680 * [backup-simplify]: Simplify 0 into 0 2.680 * [backup-simplify]: Simplify 1 into 1 2.680 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ 1 x)))) x) in x 2.680 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 2.680 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.680 * [taylor]: Taking taylor expansion of 1.0 in x 2.680 * [backup-simplify]: Simplify 1.0 into 1.0 2.680 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.680 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.680 * [taylor]: Taking taylor expansion of x in x 2.680 * [backup-simplify]: Simplify 0 into 0 2.680 * [backup-simplify]: Simplify 1 into 1 2.680 * [backup-simplify]: Simplify (/ 1 1) into 1 2.680 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.681 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 2.681 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 2.681 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ 1 x)))) into (sqrt (- 1.0 (cos (/ 1 x)))) 2.681 * [backup-simplify]: Simplify (- 0) into 0 2.681 * [backup-simplify]: Simplify (+ 0 0) into 0 2.681 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 2.681 * [taylor]: Taking taylor expansion of x in x 2.681 * [backup-simplify]: Simplify 0 into 0 2.681 * [backup-simplify]: Simplify 1 into 1 2.682 * [backup-simplify]: Simplify (* (sqrt (- 1.0 (cos (/ 1 x)))) 0) into 0 2.682 * [backup-simplify]: Simplify 0 into 0 2.682 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ 1 x)))) 1) (* 0 0)) into (sqrt (- 1.0 (cos (/ 1 x)))) 2.682 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ 1 x)))) into (sqrt (- 1.0 (cos (/ 1 x)))) 2.683 * [backup-simplify]: Simplify (- 0) into 0 2.683 * [backup-simplify]: Simplify (+ 0 0) into 0 2.684 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 2.685 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ 1 x)))) 0) (+ (* 0 1) (* 0 0))) into 0 2.685 * [backup-simplify]: Simplify 0 into 0 2.685 * [backup-simplify]: Simplify (- 0) into 0 2.685 * [backup-simplify]: Simplify (+ 0 0) into 0 2.686 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 2.687 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ 1 x)))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.688 * [backup-simplify]: Simplify 0 into 0 2.688 * [backup-simplify]: Simplify (- 0) into 0 2.688 * [backup-simplify]: Simplify (+ 0 0) into 0 2.690 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 2.691 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ 1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.691 * [backup-simplify]: Simplify 0 into 0 2.692 * [backup-simplify]: Simplify (- 0) into 0 2.692 * [backup-simplify]: Simplify (+ 0 0) into 0 2.693 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 2.695 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ 1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.695 * [backup-simplify]: Simplify 0 into 0 2.695 * [backup-simplify]: Simplify (- 0) into 0 2.696 * [backup-simplify]: Simplify (+ 0 0) into 0 2.697 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 2.698 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ 1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 2.699 * [backup-simplify]: Simplify 0 into 0 2.699 * [backup-simplify]: Simplify (- 0) into 0 2.699 * [backup-simplify]: Simplify (+ 0 0) into 0 2.700 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 2.702 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ 1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 2.702 * [backup-simplify]: Simplify 0 into 0 2.702 * [backup-simplify]: Simplify (* (sqrt (- 1.0 (cos (/ 1 (/ 1 x))))) (/ 1 x)) into (* (/ 1 x) (sqrt (- 1.0 (cos x)))) 2.702 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (cos (/ 1 (- x))))) (/ 1 (- x))) into (* -1 (* x (sqrt (- 1.0 (cos (/ -1 x)))))) 2.702 * [approximate]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (cos (/ -1 x)))))) in (x) around 0 2.702 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (cos (/ -1 x)))))) in x 2.703 * [taylor]: Taking taylor expansion of -1 in x 2.703 * [backup-simplify]: Simplify -1 into -1 2.703 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ -1 x))))) in x 2.703 * [taylor]: Taking taylor expansion of x in x 2.703 * [backup-simplify]: Simplify 0 into 0 2.703 * [backup-simplify]: Simplify 1 into 1 2.703 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 2.703 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.703 * [taylor]: Taking taylor expansion of 1.0 in x 2.703 * [backup-simplify]: Simplify 1.0 into 1.0 2.703 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.703 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.703 * [taylor]: Taking taylor expansion of -1 in x 2.703 * [backup-simplify]: Simplify -1 into -1 2.703 * [taylor]: Taking taylor expansion of x in x 2.703 * [backup-simplify]: Simplify 0 into 0 2.703 * [backup-simplify]: Simplify 1 into 1 2.703 * [backup-simplify]: Simplify (/ -1 1) into -1 2.704 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.704 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 2.704 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 2.704 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ -1 x)))) into (sqrt (- 1.0 (cos (/ -1 x)))) 2.704 * [backup-simplify]: Simplify (- 0) into 0 2.705 * [backup-simplify]: Simplify (+ 0 0) into 0 2.705 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 2.705 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (cos (/ -1 x)))))) in x 2.705 * [taylor]: Taking taylor expansion of -1 in x 2.705 * [backup-simplify]: Simplify -1 into -1 2.705 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ -1 x))))) in x 2.705 * [taylor]: Taking taylor expansion of x in x 2.705 * [backup-simplify]: Simplify 0 into 0 2.705 * [backup-simplify]: Simplify 1 into 1 2.705 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 2.705 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.705 * [taylor]: Taking taylor expansion of 1.0 in x 2.705 * [backup-simplify]: Simplify 1.0 into 1.0 2.705 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.705 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.705 * [taylor]: Taking taylor expansion of -1 in x 2.705 * [backup-simplify]: Simplify -1 into -1 2.705 * [taylor]: Taking taylor expansion of x in x 2.706 * [backup-simplify]: Simplify 0 into 0 2.706 * [backup-simplify]: Simplify 1 into 1 2.706 * [backup-simplify]: Simplify (/ -1 1) into -1 2.706 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.706 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 2.706 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 2.706 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ -1 x)))) into (sqrt (- 1.0 (cos (/ -1 x)))) 2.707 * [backup-simplify]: Simplify (- 0) into 0 2.707 * [backup-simplify]: Simplify (+ 0 0) into 0 2.707 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 2.708 * [backup-simplify]: Simplify (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) into 0 2.708 * [backup-simplify]: Simplify (* -1 0) into 0 2.708 * [backup-simplify]: Simplify 0 into 0 2.709 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt (- 1.0 (cos (/ -1 x)))))) into (sqrt (- 1.0 (cos (/ -1 x)))) 2.709 * [backup-simplify]: Simplify (+ (* -1 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0)) into (- (sqrt (- 1.0 (cos (/ -1 x))))) 2.709 * [backup-simplify]: Simplify (- (sqrt (- 1.0 (cos (/ -1 x))))) into (- (sqrt (- 1.0 (cos (/ -1 x))))) 2.710 * [backup-simplify]: Simplify (- 0) into 0 2.710 * [backup-simplify]: Simplify (+ 0 0) into 0 2.711 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 2.712 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt (- 1.0 (cos (/ -1 x))))))) into 0 2.713 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0))) into 0 2.713 * [backup-simplify]: Simplify 0 into 0 2.713 * [backup-simplify]: Simplify (- 0) into 0 2.714 * [backup-simplify]: Simplify (+ 0 0) into 0 2.715 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 2.716 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ -1 x)))))))) into 0 2.717 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0)))) into 0 2.717 * [backup-simplify]: Simplify 0 into 0 2.718 * [backup-simplify]: Simplify (- 0) into 0 2.718 * [backup-simplify]: Simplify (+ 0 0) into 0 2.720 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 2.721 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ -1 x))))))))) into 0 2.723 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0))))) into 0 2.723 * [backup-simplify]: Simplify 0 into 0 2.724 * [backup-simplify]: Simplify (- 0) into 0 2.724 * [backup-simplify]: Simplify (+ 0 0) into 0 2.725 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 2.727 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ -1 x)))))))))) into 0 2.729 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0)))))) into 0 2.729 * [backup-simplify]: Simplify 0 into 0 2.735 * [backup-simplify]: Simplify (- 0) into 0 2.736 * [backup-simplify]: Simplify (+ 0 0) into 0 2.737 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 2.739 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ -1 x))))))))))) into 0 2.742 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0))))))) into 0 2.742 * [backup-simplify]: Simplify 0 into 0 2.742 * [backup-simplify]: Simplify (- 0) into 0 2.743 * [backup-simplify]: Simplify (+ 0 0) into 0 2.744 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 2.746 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ -1 x)))))))))))) into 0 2.749 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0)))))))) into 0 2.749 * [backup-simplify]: Simplify 0 into 0 2.749 * [backup-simplify]: Simplify (* (- (sqrt (- 1.0 (cos (/ -1 (/ 1 (- x))))))) (/ 1 (- x))) into (* (/ 1 x) (sqrt (- 1.0 (cos x)))) 2.750 * * * [progress]: simplifying candidates 2.756 * [simplify]: Simplifying: (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos 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1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (+ (* 1/48 (/ (pow x 2) (sqrt 1/2))) (* 1/4608 (/ (pow x 4) (pow (sqrt 1/2) 3))))) (* (/ 1 x) (sqrt (- 1.0 (cos x)))) (* (/ 1 x) (sqrt (- 1.0 (cos x)))) 2.763 * * [simplify]: iteration 0: 231 enodes 2.883 * * [simplify]: iteration 1: 724 enodes 3.320 * * [simplify]: iteration 2: 2361 enodes 4.712 * * [simplify]: iteration complete: 5000 enodes 4.713 * * [simplify]: Extracting #0: cost 128 inf + 0 4.715 * * [simplify]: Extracting #1: cost 827 inf + 2 4.720 * * [simplify]: Extracting #2: cost 1382 inf + 561 4.726 * * [simplify]: Extracting #3: cost 1473 inf + 10381 4.739 * * [simplify]: Extracting #4: cost 1270 inf + 50787 4.767 * * [simplify]: Extracting #5: cost 868 inf + 171546 4.869 * * [simplify]: Extracting #6: cost 295 inf + 365311 4.983 * * [simplify]: Extracting #7: cost 23 inf + 472092 5.088 * * [simplify]: Extracting #8: cost 0 inf + 481009 5.175 * [simplify]: Simplified to: (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 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x)) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (/ (cbrt (sqrt (- 1.0 (cos x)))) x) (/ (/ (fabs (cbrt (- 1.0 (cos x)))) (cbrt x)) (cbrt x)) (/ (sqrt (cbrt (- 1.0 (cos x)))) (cbrt x)) (/ (fabs (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (cbrt (- 1.0 (cos x)))) (sqrt x)) (fabs (cbrt (- 1.0 (cos x)))) (/ (sqrt (cbrt (- 1.0 (cos x)))) x) (/ (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (sqrt (sqrt (- 1.0 (cos x)))) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (+ (sqrt (cos x)) (sqrt 1.0))) (* (cbrt x) (cbrt x))) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt x)) (/ (sqrt (+ (sqrt (cos x)) (sqrt 1.0))) (sqrt x)) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (sqrt (+ (sqrt (cos x)) (sqrt 1.0))) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) x) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (cos x))) x) (/ (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (sqrt (sqrt (- 1.0 (cos x)))) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ x (sqrt (- 1.0 (cos x)))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt (- 1.0 (cos x))) (/ x (cbrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (cbrt (- 1.0 (cos x))))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (- (sqrt 1.0) (sqrt (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (* x (sqrt (+ (* (cos x) (cos x)) (* 1.0 (+ (cos x) 1.0))))) (* (sqrt (+ (cos x) 1.0)) x) (+ (* 1/720 (* (* x (* x x)) (* x (* x x)))) (* (* x x) (- 1/2 (* 1/24 (* x x))))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* 1/720 (* (* x (* x x)) (* x (* x x)))) (* (* x x) (- 1/2 (* 1/24 (* x x))))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ 1/2 (* (* x x) (- (* 1/720 (* x x)) 1/24))) (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)) (- (+ (* 1/1440 (/ (* (* x x) (* x x)) (sqrt 1/2))) (- (sqrt 1/2) (* (/ (* (* x x) (* x x)) (sqrt 1/2)) 1/2304))) (/ (* (* x x) 1/48) (sqrt 1/2))) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) 5.190 * * * [progress]: adding candidates to table 6.086 * * [progress]: iteration 3 / 4 6.086 * * * [progress]: picking best candidate 6.183 * * * * [pick]: Picked # 6.183 * * * [progress]: localizing error 6.196 * * * [progress]: generating rewritten candidates 6.196 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 6.200 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 6.218 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 6.245 * * * [progress]: generating series expansions 6.245 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 6.246 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 6.246 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 6.246 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.246 * [taylor]: Taking taylor expansion of 1.0 in x 6.246 * [backup-simplify]: Simplify 1.0 into 1.0 6.246 * [taylor]: Taking taylor expansion of (cos x) in x 6.246 * [taylor]: Taking taylor expansion of x in x 6.246 * [backup-simplify]: Simplify 0 into 0 6.246 * [backup-simplify]: Simplify 1 into 1 6.246 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.246 * [taylor]: Taking taylor expansion of 1.0 in x 6.246 * [backup-simplify]: Simplify 1.0 into 1.0 6.246 * [taylor]: Taking taylor expansion of (cos x) in x 6.246 * [taylor]: Taking taylor expansion of x in x 6.246 * [backup-simplify]: Simplify 0 into 0 6.246 * [backup-simplify]: Simplify 1 into 1 6.246 * [backup-simplify]: Simplify (- 1) into -1 6.247 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 6.247 * [backup-simplify]: Simplify 0 into 0 6.247 * [backup-simplify]: Simplify (+ 0) into 0 6.247 * [backup-simplify]: Simplify (- 0) into 0 6.248 * [backup-simplify]: Simplify (+ 0 0) into 0 6.248 * [backup-simplify]: Simplify 0 into 0 6.248 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 6.248 * [backup-simplify]: Simplify (- -1/2) into 1/2 6.249 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.249 * [backup-simplify]: Simplify 1/2 into 1/2 6.249 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.250 * [backup-simplify]: Simplify (- 0) into 0 6.250 * [backup-simplify]: Simplify (+ 0 0) into 0 6.250 * [backup-simplify]: Simplify 0 into 0 6.251 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 6.252 * [backup-simplify]: Simplify (- 1/24) into -1/24 6.252 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 6.252 * [backup-simplify]: Simplify -1/24 into -1/24 6.253 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.253 * [backup-simplify]: Simplify (- 0) into 0 6.254 * [backup-simplify]: Simplify (+ 0 0) into 0 6.254 * [backup-simplify]: Simplify 0 into 0 6.259 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 6.260 * [backup-simplify]: Simplify (- -1/720) into 1/720 6.260 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 6.260 * [backup-simplify]: Simplify 1/720 into 1/720 6.261 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (pow x 2)))) into (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) 6.261 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 6.261 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 6.261 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.261 * [taylor]: Taking taylor expansion of 1.0 in x 6.261 * [backup-simplify]: Simplify 1.0 into 1.0 6.261 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.261 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.261 * [taylor]: Taking taylor expansion of x in x 6.261 * [backup-simplify]: Simplify 0 into 0 6.261 * [backup-simplify]: Simplify 1 into 1 6.262 * [backup-simplify]: Simplify (/ 1 1) into 1 6.262 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 6.262 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.262 * [taylor]: Taking taylor expansion of 1.0 in x 6.262 * [backup-simplify]: Simplify 1.0 into 1.0 6.262 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.262 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.262 * [taylor]: Taking taylor expansion of x in x 6.262 * [backup-simplify]: Simplify 0 into 0 6.262 * [backup-simplify]: Simplify 1 into 1 6.262 * [backup-simplify]: Simplify (/ 1 1) into 1 6.262 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 6.262 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 6.262 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 6.263 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 6.263 * [backup-simplify]: Simplify (- 0) into 0 6.263 * [backup-simplify]: Simplify (+ 0 0) into 0 6.263 * [backup-simplify]: Simplify 0 into 0 6.263 * [backup-simplify]: Simplify (- 0) into 0 6.264 * [backup-simplify]: Simplify (+ 0 0) into 0 6.264 * [backup-simplify]: Simplify 0 into 0 6.264 * [backup-simplify]: Simplify (- 0) into 0 6.264 * [backup-simplify]: Simplify (+ 0 0) into 0 6.264 * [backup-simplify]: Simplify 0 into 0 6.264 * [backup-simplify]: Simplify (- 0) into 0 6.265 * [backup-simplify]: Simplify (+ 0 0) into 0 6.265 * [backup-simplify]: Simplify 0 into 0 6.265 * [backup-simplify]: Simplify (- 0) into 0 6.265 * [backup-simplify]: Simplify (+ 0 0) into 0 6.265 * [backup-simplify]: Simplify 0 into 0 6.265 * [backup-simplify]: Simplify (- 0) into 0 6.266 * [backup-simplify]: Simplify (+ 0 0) into 0 6.266 * [backup-simplify]: Simplify 0 into 0 6.266 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 6.266 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 6.266 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 6.266 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.266 * [taylor]: Taking taylor expansion of 1.0 in x 6.266 * [backup-simplify]: Simplify 1.0 into 1.0 6.266 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.266 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.266 * [taylor]: Taking taylor expansion of -1 in x 6.266 * [backup-simplify]: Simplify -1 into -1 6.266 * [taylor]: Taking taylor expansion of x in x 6.266 * [backup-simplify]: Simplify 0 into 0 6.266 * [backup-simplify]: Simplify 1 into 1 6.266 * [backup-simplify]: Simplify (/ -1 1) into -1 6.266 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 6.266 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.266 * [taylor]: Taking taylor expansion of 1.0 in x 6.266 * [backup-simplify]: Simplify 1.0 into 1.0 6.266 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.267 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.267 * [taylor]: Taking taylor expansion of -1 in x 6.267 * [backup-simplify]: Simplify -1 into -1 6.267 * [taylor]: Taking taylor expansion of x in x 6.267 * [backup-simplify]: Simplify 0 into 0 6.267 * [backup-simplify]: Simplify 1 into 1 6.267 * [backup-simplify]: Simplify (/ -1 1) into -1 6.267 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 6.267 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 6.267 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 6.267 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 6.267 * [backup-simplify]: Simplify (- 0) into 0 6.268 * [backup-simplify]: Simplify (+ 0 0) into 0 6.268 * [backup-simplify]: Simplify 0 into 0 6.268 * [backup-simplify]: Simplify (- 0) into 0 6.268 * [backup-simplify]: Simplify (+ 0 0) into 0 6.268 * [backup-simplify]: Simplify 0 into 0 6.268 * [backup-simplify]: Simplify (- 0) into 0 6.269 * [backup-simplify]: Simplify (+ 0 0) into 0 6.269 * [backup-simplify]: Simplify 0 into 0 6.269 * [backup-simplify]: Simplify (- 0) into 0 6.269 * [backup-simplify]: Simplify (+ 0 0) into 0 6.269 * [backup-simplify]: Simplify 0 into 0 6.269 * [backup-simplify]: Simplify (- 0) into 0 6.270 * [backup-simplify]: Simplify (+ 0 0) into 0 6.270 * [backup-simplify]: Simplify 0 into 0 6.270 * [backup-simplify]: Simplify (- 0) into 0 6.270 * [backup-simplify]: Simplify (+ 0 0) into 0 6.270 * [backup-simplify]: Simplify 0 into 0 6.270 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 6.270 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 6.270 * [backup-simplify]: Simplify (/ (- 1.0 (cos x)) x) into (/ (- 1.0 (cos x)) x) 6.270 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in (x) around 0 6.270 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 6.270 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.270 * [taylor]: Taking taylor expansion of 1.0 in x 6.270 * [backup-simplify]: Simplify 1.0 into 1.0 6.270 * [taylor]: Taking taylor expansion of (cos x) in x 6.271 * [taylor]: Taking taylor expansion of x in x 6.271 * [backup-simplify]: Simplify 0 into 0 6.271 * [backup-simplify]: Simplify 1 into 1 6.271 * [taylor]: Taking taylor expansion of x in x 6.271 * [backup-simplify]: Simplify 0 into 0 6.271 * [backup-simplify]: Simplify 1 into 1 6.271 * [backup-simplify]: Simplify (- 1) into -1 6.271 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 6.271 * [backup-simplify]: Simplify (+ 0) into 0 6.272 * [backup-simplify]: Simplify (- 0) into 0 6.272 * [backup-simplify]: Simplify (+ 0 0) into 0 6.272 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 6.273 * [backup-simplify]: Simplify (- -1/2) into 1/2 6.273 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.273 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.273 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 6.273 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.273 * [taylor]: Taking taylor expansion of 1.0 in x 6.273 * [backup-simplify]: Simplify 1.0 into 1.0 6.273 * [taylor]: Taking taylor expansion of (cos x) in x 6.273 * [taylor]: Taking taylor expansion of x in x 6.273 * [backup-simplify]: Simplify 0 into 0 6.273 * [backup-simplify]: Simplify 1 into 1 6.273 * [taylor]: Taking taylor expansion of x in x 6.273 * [backup-simplify]: Simplify 0 into 0 6.273 * [backup-simplify]: Simplify 1 into 1 6.274 * [backup-simplify]: Simplify (- 1) into -1 6.274 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 6.277 * [backup-simplify]: Simplify (+ 0) into 0 6.278 * [backup-simplify]: Simplify (- 0) into 0 6.278 * [backup-simplify]: Simplify (+ 0 0) into 0 6.279 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 6.279 * [backup-simplify]: Simplify (- -1/2) into 1/2 6.279 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.279 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.279 * [backup-simplify]: Simplify 1/2 into 1/2 6.280 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.280 * [backup-simplify]: Simplify (- 0) into 0 6.281 * [backup-simplify]: Simplify (+ 0 0) into 0 6.281 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.281 * [backup-simplify]: Simplify 0 into 0 6.283 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 6.283 * [backup-simplify]: Simplify (- 1/24) into -1/24 6.283 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 6.284 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 6.284 * [backup-simplify]: Simplify -1/24 into -1/24 6.285 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.285 * [backup-simplify]: Simplify (- 0) into 0 6.286 * [backup-simplify]: Simplify (+ 0 0) into 0 6.286 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 6.286 * [backup-simplify]: Simplify 0 into 0 6.289 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 6.289 * [backup-simplify]: Simplify (- -1/720) into 1/720 6.290 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 6.290 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 6.291 * [backup-simplify]: Simplify 1/720 into 1/720 6.291 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 5)) (+ (* -1/24 (pow x 3)) (* 1/2 x))) into (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) 6.291 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (/ 1 x)) into (* (- 1.0 (cos (/ 1 x))) x) 6.291 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) x) in (x) around 0 6.291 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) x) in x 6.291 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.291 * [taylor]: Taking taylor expansion of 1.0 in x 6.291 * [backup-simplify]: Simplify 1.0 into 1.0 6.291 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.291 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.291 * [taylor]: Taking taylor expansion of x in x 6.291 * [backup-simplify]: Simplify 0 into 0 6.291 * [backup-simplify]: Simplify 1 into 1 6.292 * [backup-simplify]: Simplify (/ 1 1) into 1 6.292 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 6.292 * [taylor]: Taking taylor expansion of x in x 6.292 * [backup-simplify]: Simplify 0 into 0 6.292 * [backup-simplify]: Simplify 1 into 1 6.292 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) x) in x 6.292 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.292 * [taylor]: Taking taylor expansion of 1.0 in x 6.292 * [backup-simplify]: Simplify 1.0 into 1.0 6.292 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.292 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.292 * [taylor]: Taking taylor expansion of x in x 6.292 * [backup-simplify]: Simplify 0 into 0 6.292 * [backup-simplify]: Simplify 1 into 1 6.292 * [backup-simplify]: Simplify (/ 1 1) into 1 6.292 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 6.292 * [taylor]: Taking taylor expansion of x in x 6.292 * [backup-simplify]: Simplify 0 into 0 6.292 * [backup-simplify]: Simplify 1 into 1 6.292 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 6.292 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 6.292 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 x))) 0) into 0 6.292 * [backup-simplify]: Simplify 0 into 0 6.293 * [backup-simplify]: Simplify (- 0) into 0 6.293 * [backup-simplify]: Simplify (+ 0 0) into 0 6.293 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 1) (* 0 0)) into (- 1.0 (cos (/ 1 x))) 6.293 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 6.293 * [backup-simplify]: Simplify (- 0) into 0 6.294 * [backup-simplify]: Simplify (+ 0 0) into 0 6.294 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 1) (* 0 0))) into 0 6.294 * [backup-simplify]: Simplify 0 into 0 6.294 * [backup-simplify]: Simplify (- 0) into 0 6.295 * [backup-simplify]: Simplify (+ 0 0) into 0 6.295 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.295 * [backup-simplify]: Simplify 0 into 0 6.295 * [backup-simplify]: Simplify (- 0) into 0 6.296 * [backup-simplify]: Simplify (+ 0 0) into 0 6.296 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.296 * [backup-simplify]: Simplify 0 into 0 6.297 * [backup-simplify]: Simplify (- 0) into 0 6.297 * [backup-simplify]: Simplify (+ 0 0) into 0 6.298 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 6.298 * [backup-simplify]: Simplify 0 into 0 6.298 * [backup-simplify]: Simplify (- 0) into 0 6.299 * [backup-simplify]: Simplify (+ 0 0) into 0 6.300 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 6.300 * [backup-simplify]: Simplify 0 into 0 6.300 * [backup-simplify]: Simplify (- 0) into 0 6.301 * [backup-simplify]: Simplify (+ 0 0) into 0 6.302 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 6.302 * [backup-simplify]: Simplify 0 into 0 6.303 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (/ 1 x)) into (/ (- 1.0 (cos x)) x) 6.303 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (- x)))) (/ 1 (- x))) into (* -1 (* x (- 1.0 (cos (/ -1 x))))) 6.303 * [approximate]: Taking taylor expansion of (* -1 (* x (- 1.0 (cos (/ -1 x))))) in (x) around 0 6.303 * [taylor]: Taking taylor expansion of (* -1 (* x (- 1.0 (cos (/ -1 x))))) in x 6.303 * [taylor]: Taking taylor expansion of -1 in x 6.303 * [backup-simplify]: Simplify -1 into -1 6.303 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ -1 x)))) in x 6.303 * [taylor]: Taking taylor expansion of x in x 6.303 * [backup-simplify]: Simplify 0 into 0 6.303 * [backup-simplify]: Simplify 1 into 1 6.303 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.303 * [taylor]: Taking taylor expansion of 1.0 in x 6.303 * [backup-simplify]: Simplify 1.0 into 1.0 6.303 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.303 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.303 * [taylor]: Taking taylor expansion of -1 in x 6.303 * [backup-simplify]: Simplify -1 into -1 6.303 * [taylor]: Taking taylor expansion of x in x 6.303 * [backup-simplify]: Simplify 0 into 0 6.303 * [backup-simplify]: Simplify 1 into 1 6.304 * [backup-simplify]: Simplify (/ -1 1) into -1 6.304 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 6.304 * [taylor]: Taking taylor expansion of (* -1 (* x (- 1.0 (cos (/ -1 x))))) in x 6.304 * [taylor]: Taking taylor expansion of -1 in x 6.304 * [backup-simplify]: Simplify -1 into -1 6.304 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ -1 x)))) in x 6.304 * [taylor]: Taking taylor expansion of x in x 6.304 * [backup-simplify]: Simplify 0 into 0 6.304 * [backup-simplify]: Simplify 1 into 1 6.304 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.304 * [taylor]: Taking taylor expansion of 1.0 in x 6.304 * [backup-simplify]: Simplify 1.0 into 1.0 6.304 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.304 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.304 * [taylor]: Taking taylor expansion of -1 in x 6.304 * [backup-simplify]: Simplify -1 into -1 6.304 * [taylor]: Taking taylor expansion of x in x 6.304 * [backup-simplify]: Simplify 0 into 0 6.304 * [backup-simplify]: Simplify 1 into 1 6.305 * [backup-simplify]: Simplify (/ -1 1) into -1 6.305 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 6.305 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 6.305 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 6.305 * [backup-simplify]: Simplify (* 0 (- 1.0 (cos (/ -1 x)))) into 0 6.306 * [backup-simplify]: Simplify (* -1 0) into 0 6.306 * [backup-simplify]: Simplify 0 into 0 6.306 * [backup-simplify]: Simplify (- 0) into 0 6.307 * [backup-simplify]: Simplify (+ 0 0) into 0 6.307 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (- 1.0 (cos (/ -1 x))))) into (- 1.0 (cos (/ -1 x))) 6.308 * [backup-simplify]: Simplify (+ (* -1 (- 1.0 (cos (/ -1 x)))) (* 0 0)) into (- (cos (/ -1 x)) 1.0) 6.308 * [backup-simplify]: Simplify (- (cos (/ -1 x)) 1.0) into (- (cos (/ -1 x)) 1.0) 6.308 * [backup-simplify]: Simplify (- 0) into 0 6.309 * [backup-simplify]: Simplify (+ 0 0) into 0 6.309 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- 1.0 (cos (/ -1 x)))))) into 0 6.310 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))) into 0 6.310 * [backup-simplify]: Simplify 0 into 0 6.311 * [backup-simplify]: Simplify (- 0) into 0 6.311 * [backup-simplify]: Simplify (+ 0 0) into 0 6.313 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))) into 0 6.314 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))) into 0 6.314 * [backup-simplify]: Simplify 0 into 0 6.314 * [backup-simplify]: Simplify (- 0) into 0 6.314 * [backup-simplify]: Simplify (+ 0 0) into 0 6.315 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))) into 0 6.316 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))))) into 0 6.316 * [backup-simplify]: Simplify 0 into 0 6.316 * [backup-simplify]: Simplify (- 0) into 0 6.317 * [backup-simplify]: Simplify (+ 0 0) into 0 6.318 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))))) into 0 6.319 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))))) into 0 6.319 * [backup-simplify]: Simplify 0 into 0 6.319 * [backup-simplify]: Simplify (- 0) into 0 6.320 * [backup-simplify]: Simplify (+ 0 0) into 0 6.321 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))))) into 0 6.322 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))))))) into 0 6.322 * [backup-simplify]: Simplify 0 into 0 6.323 * [backup-simplify]: Simplify (- 0) into 0 6.323 * [backup-simplify]: Simplify (+ 0 0) into 0 6.325 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))))))) into 0 6.326 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))))))) into 0 6.326 * [backup-simplify]: Simplify 0 into 0 6.326 * [backup-simplify]: Simplify (* (- (cos (/ -1 (/ 1 (- x)))) 1.0) (/ 1 (- x))) into (* -1 (/ (- (cos x) 1.0) x)) 6.326 * * * * [progress]: [ 3 / 3 ] generating series at (2) 6.327 * [backup-simplify]: Simplify (/ (/ (- 1.0 (cos x)) x) x) into (/ (- 1.0 (cos x)) (pow x 2)) 6.327 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 6.327 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 6.327 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.327 * [taylor]: Taking taylor expansion of 1.0 in x 6.327 * [backup-simplify]: Simplify 1.0 into 1.0 6.327 * [taylor]: Taking taylor expansion of (cos x) in x 6.327 * [taylor]: Taking taylor expansion of x in x 6.327 * [backup-simplify]: Simplify 0 into 0 6.327 * [backup-simplify]: Simplify 1 into 1 6.327 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.327 * [taylor]: Taking taylor expansion of x in x 6.327 * [backup-simplify]: Simplify 0 into 0 6.327 * [backup-simplify]: Simplify 1 into 1 6.327 * [backup-simplify]: Simplify (- 1) into -1 6.327 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 6.328 * [backup-simplify]: Simplify (+ 0) into 0 6.328 * [backup-simplify]: Simplify (- 0) into 0 6.328 * [backup-simplify]: Simplify (+ 0 0) into 0 6.329 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 6.329 * [backup-simplify]: Simplify (- -1/2) into 1/2 6.329 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.329 * [backup-simplify]: Simplify (* 1 1) into 1 6.330 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.330 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 6.330 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.330 * [taylor]: Taking taylor expansion of 1.0 in x 6.330 * [backup-simplify]: Simplify 1.0 into 1.0 6.330 * [taylor]: Taking taylor expansion of (cos x) in x 6.330 * [taylor]: Taking taylor expansion of x in x 6.330 * [backup-simplify]: Simplify 0 into 0 6.330 * [backup-simplify]: Simplify 1 into 1 6.330 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.330 * [taylor]: Taking taylor expansion of x in x 6.330 * [backup-simplify]: Simplify 0 into 0 6.330 * [backup-simplify]: Simplify 1 into 1 6.330 * [backup-simplify]: Simplify (- 1) into -1 6.330 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 6.331 * [backup-simplify]: Simplify (+ 0) into 0 6.331 * [backup-simplify]: Simplify (- 0) into 0 6.331 * [backup-simplify]: Simplify (+ 0 0) into 0 6.332 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 6.332 * [backup-simplify]: Simplify (- -1/2) into 1/2 6.332 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.333 * [backup-simplify]: Simplify (* 1 1) into 1 6.333 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.333 * [backup-simplify]: Simplify 1/2 into 1/2 6.334 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.334 * [backup-simplify]: Simplify (- 0) into 0 6.334 * [backup-simplify]: Simplify (+ 0 0) into 0 6.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.335 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.335 * [backup-simplify]: Simplify 0 into 0 6.337 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 6.338 * [backup-simplify]: Simplify (- 1/24) into -1/24 6.338 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 6.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.339 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 6.339 * [backup-simplify]: Simplify -1/24 into -1/24 6.341 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.341 * [backup-simplify]: Simplify (- 0) into 0 6.341 * [backup-simplify]: Simplify (+ 0 0) into 0 6.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 6.343 * [backup-simplify]: Simplify 0 into 0 6.345 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 6.346 * [backup-simplify]: Simplify (- -1/720) into 1/720 6.346 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 6.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.349 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 6.349 * [backup-simplify]: Simplify 1/720 into 1/720 6.350 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 6.350 * [backup-simplify]: Simplify (/ (/ (- 1.0 (cos (/ 1 x))) (/ 1 x)) (/ 1 x)) into (* (- 1.0 (cos (/ 1 x))) (pow x 2)) 6.350 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in (x) around 0 6.350 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in x 6.350 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.350 * [taylor]: Taking taylor expansion of 1.0 in x 6.350 * [backup-simplify]: Simplify 1.0 into 1.0 6.350 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.350 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.350 * [taylor]: Taking taylor expansion of x in x 6.350 * [backup-simplify]: Simplify 0 into 0 6.350 * [backup-simplify]: Simplify 1 into 1 6.351 * [backup-simplify]: Simplify (/ 1 1) into 1 6.351 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 6.351 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.351 * [taylor]: Taking taylor expansion of x in x 6.351 * [backup-simplify]: Simplify 0 into 0 6.351 * [backup-simplify]: Simplify 1 into 1 6.351 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (pow x 2)) in x 6.351 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.351 * [taylor]: Taking taylor expansion of 1.0 in x 6.351 * [backup-simplify]: Simplify 1.0 into 1.0 6.351 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.351 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.351 * [taylor]: Taking taylor expansion of x in x 6.351 * [backup-simplify]: Simplify 0 into 0 6.351 * [backup-simplify]: Simplify 1 into 1 6.352 * [backup-simplify]: Simplify (/ 1 1) into 1 6.352 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 6.352 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.352 * [taylor]: Taking taylor expansion of x in x 6.352 * [backup-simplify]: Simplify 0 into 0 6.352 * [backup-simplify]: Simplify 1 into 1 6.352 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 6.352 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 6.353 * [backup-simplify]: Simplify (* 1 1) into 1 6.353 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 x))) 1) into (- 1.0 (cos (/ 1 x))) 6.353 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 6.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.354 * [backup-simplify]: Simplify (- 0) into 0 6.355 * [backup-simplify]: Simplify (+ 0 0) into 0 6.355 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (* 0 1)) into 0 6.355 * [backup-simplify]: Simplify 0 into 0 6.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.357 * [backup-simplify]: Simplify (- 0) into 0 6.357 * [backup-simplify]: Simplify (+ 0 0) into 0 6.358 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 1))) into 0 6.358 * [backup-simplify]: Simplify 0 into 0 6.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.360 * [backup-simplify]: Simplify (- 0) into 0 6.360 * [backup-simplify]: Simplify (+ 0 0) into 0 6.361 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.361 * [backup-simplify]: Simplify 0 into 0 6.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.363 * [backup-simplify]: Simplify (- 0) into 0 6.363 * [backup-simplify]: Simplify (+ 0 0) into 0 6.364 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.364 * [backup-simplify]: Simplify 0 into 0 6.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.366 * [backup-simplify]: Simplify (- 0) into 0 6.366 * [backup-simplify]: Simplify (+ 0 0) into 0 6.367 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.367 * [backup-simplify]: Simplify 0 into 0 6.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.369 * [backup-simplify]: Simplify (- 0) into 0 6.370 * [backup-simplify]: Simplify (+ 0 0) into 0 6.371 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.371 * [backup-simplify]: Simplify 0 into 0 6.371 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 6.372 * [backup-simplify]: Simplify (/ (/ (- 1.0 (cos (/ 1 (- x)))) (/ 1 (- x))) (/ 1 (- x))) into (* (pow x 2) (- 1.0 (cos (/ -1 x)))) 6.372 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in (x) around 0 6.372 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in x 6.372 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.372 * [taylor]: Taking taylor expansion of x in x 6.372 * [backup-simplify]: Simplify 0 into 0 6.372 * [backup-simplify]: Simplify 1 into 1 6.372 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.372 * [taylor]: Taking taylor expansion of 1.0 in x 6.372 * [backup-simplify]: Simplify 1.0 into 1.0 6.372 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.372 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.372 * [taylor]: Taking taylor expansion of -1 in x 6.372 * [backup-simplify]: Simplify -1 into -1 6.372 * [taylor]: Taking taylor expansion of x in x 6.372 * [backup-simplify]: Simplify 0 into 0 6.372 * [backup-simplify]: Simplify 1 into 1 6.373 * [backup-simplify]: Simplify (/ -1 1) into -1 6.373 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 6.373 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in x 6.373 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.373 * [taylor]: Taking taylor expansion of x in x 6.373 * [backup-simplify]: Simplify 0 into 0 6.373 * [backup-simplify]: Simplify 1 into 1 6.373 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.373 * [taylor]: Taking taylor expansion of 1.0 in x 6.373 * [backup-simplify]: Simplify 1.0 into 1.0 6.373 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.373 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.373 * [taylor]: Taking taylor expansion of -1 in x 6.373 * [backup-simplify]: Simplify -1 into -1 6.373 * [taylor]: Taking taylor expansion of x in x 6.373 * [backup-simplify]: Simplify 0 into 0 6.373 * [backup-simplify]: Simplify 1 into 1 6.374 * [backup-simplify]: Simplify (/ -1 1) into -1 6.374 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 6.374 * [backup-simplify]: Simplify (* 1 1) into 1 6.374 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 6.374 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 6.374 * [backup-simplify]: Simplify (* 1 (- 1.0 (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 6.374 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 6.375 * [backup-simplify]: Simplify (- 0) into 0 6.375 * [backup-simplify]: Simplify (+ 0 0) into 0 6.376 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.376 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1.0 (cos (/ -1 x))))) into 0 6.376 * [backup-simplify]: Simplify 0 into 0 6.377 * [backup-simplify]: Simplify (- 0) into 0 6.377 * [backup-simplify]: Simplify (+ 0 0) into 0 6.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))) into 0 6.379 * [backup-simplify]: Simplify 0 into 0 6.380 * [backup-simplify]: Simplify (- 0) into 0 6.380 * [backup-simplify]: Simplify (+ 0 0) into 0 6.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))) into 0 6.382 * [backup-simplify]: Simplify 0 into 0 6.383 * [backup-simplify]: Simplify (- 0) into 0 6.383 * [backup-simplify]: Simplify (+ 0 0) into 0 6.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))) into 0 6.386 * [backup-simplify]: Simplify 0 into 0 6.386 * [backup-simplify]: Simplify (- 0) into 0 6.387 * [backup-simplify]: Simplify (+ 0 0) into 0 6.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))))) into 0 6.395 * [backup-simplify]: Simplify 0 into 0 6.396 * [backup-simplify]: Simplify (- 0) into 0 6.396 * [backup-simplify]: Simplify (+ 0 0) into 0 6.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))))) into 0 6.400 * [backup-simplify]: Simplify 0 into 0 6.401 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 6.401 * * * [progress]: simplifying candidates 6.405 * [simplify]: Simplifying: (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (- (log (- 1.0 (cos x))) (log x)) (log (/ (- 1.0 (cos x)) x)) (exp (/ (- 1.0 (cos x)) x)) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* x x) x)) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (cbrt (/ (- 1.0 (cos x)) x)) (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (- (- 1.0 (cos x))) (- x) (/ 1.0 x) (/ (cos x) x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) 1) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ 1 1) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ 1 1) (/ (- 1.0 (cos x)) x) (/ 1 x) (/ x (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (sqrt x)) (/ (- 1.0 (cos x)) 1) (/ x (cbrt (- 1.0 (cos x)))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (- 1.0 (cos x))) (/ x (- (sqrt 1.0) (sqrt (cos x)))) (/ x (- 1.0 (cos x))) (* x (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* x (+ 1.0 (cos x))) (- (- (log (- 1.0 (cos x))) (log x)) (log x)) (- (log (/ (- 1.0 (cos x)) x)) (log x)) (log (/ (/ (- 1.0 (cos x)) x) x)) (exp (/ (/ (- 1.0 (cos x)) x) x)) (/ (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* x x) x)) (* (* x x) x)) (/ (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x)) (* (* x x) x)) (* (cbrt (/ (/ (- 1.0 (cos x)) x) x)) (cbrt (/ (/ (- 1.0 (cos x)) x) x))) (cbrt (/ (/ (- 1.0 (cos x)) x) x)) (* (* (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (- 1.0 (cos x)) x) x)) (/ (/ (- 1.0 (cos x)) x) x)) (sqrt (/ (/ (- 1.0 (cos x)) x) x)) (sqrt (/ (/ (- 1.0 (cos x)) x) x)) (- (/ (- 1.0 (cos x)) x)) (- x) (/ (/ 1.0 x) x) (/ (/ (cos x) x) x) (/ (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (* (cbrt x) (cbrt x))) (/ (cbrt (/ (- 1.0 (cos x)) x)) (cbrt x)) (/ (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (sqrt x)) (/ (cbrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) 1) (/ (cbrt (/ (- 1.0 (cos x)) x)) x) (/ (sqrt (/ (- 1.0 (cos x)) x)) (* (cbrt x) (cbrt x))) (/ (sqrt (/ (- 1.0 (cos x)) x)) (cbrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) 1) (/ (sqrt (/ (- 1.0 (cos x)) x)) x) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (/ (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (cbrt x)) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (sqrt x)) (/ (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (sqrt x)) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) 1) (/ (/ (cbrt (- 1.0 (cos x))) (cbrt x)) x) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (cbrt x)) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (sqrt x)) (/ (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (sqrt x)) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) 1) (/ (/ (cbrt (- 1.0 (cos x))) (sqrt x)) x) (/ (/ (* 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x))) (/ (/ (sqrt (- 1.0 (cos x))) x) (cbrt x)) (/ (/ (sqrt (- 1.0 (cos x))) 1) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) x) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) 1) 1) (/ (/ (sqrt (- 1.0 (cos x))) x) x) (/ (/ 1 (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (cbrt x)) (cbrt x)) (/ (/ 1 (* (cbrt x) (cbrt x))) (sqrt x)) (/ (/ (- 1.0 (cos x)) (cbrt x)) (sqrt x)) (/ (/ 1 (* (cbrt x) (cbrt x))) 1) (/ (/ (- 1.0 (cos x)) (cbrt x)) x) (/ (/ 1 (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (sqrt x)) (cbrt x)) (/ (/ 1 (sqrt x)) (sqrt x)) (/ (/ (- 1.0 (cos x)) (sqrt x)) (sqrt x)) (/ (/ 1 (sqrt x)) 1) (/ (/ (- 1.0 (cos x)) (sqrt x)) x) (/ (/ 1 1) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ 1 1) (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (/ 1 1) 1) (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (cbrt x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) 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(sqrt x)) (/ (/ 1 (* (cbrt x) (cbrt x))) 1) (/ (/ (- 1.0 (cos x)) (cbrt x)) x) (/ (/ 1 (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (sqrt x)) (cbrt x)) (/ (/ 1 (sqrt x)) (sqrt x)) (/ (/ (- 1.0 (cos x)) (sqrt x)) (sqrt x)) (/ (/ 1 (sqrt x)) 1) (/ (/ (- 1.0 (cos x)) (sqrt x)) x) (/ (/ 1 1) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ 1 1) (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (/ 1 1) 1) (/ (/ (- 1.0 (cos x)) x) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ 1 1) (/ (/ (- 1.0 (cos x)) x) x) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (/ 1 x) (cbrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ (/ 1 x) (sqrt x)) (/ (- 1.0 (cos x)) 1) (/ (/ 1 x) x) (/ 1 x) (/ x (/ (- 1.0 (cos x)) x)) (/ (/ (- 1.0 (cos x)) x) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (/ (- 1.0 (cos x)) x) 1) (/ x (cbrt (/ (- 1.0 (cos x)) x))) (/ x (sqrt (/ (- 1.0 (cos x)) x))) (/ x (/ (cbrt (- 1.0 (cos x))) (cbrt x))) (/ x (/ (cbrt (- 1.0 (cos x))) (sqrt x))) (/ x (/ (cbrt (- 1.0 (cos x))) x)) (/ x (/ (sqrt (- 1.0 (cos x))) (cbrt x))) (/ x (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (/ x (/ (sqrt (- 1.0 (cos x))) x)) (/ x (/ (- 1.0 (cos x)) (cbrt x))) (/ x (/ (- 1.0 (cos x)) (sqrt x))) (/ x (/ (- 1.0 (cos x)) x)) (/ x (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x))) (/ x (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x))) (/ x (/ (- (sqrt 1.0) (sqrt (cos x))) x)) (/ x (/ (- 1.0 (cos x)) (cbrt x))) (/ x (/ (- 1.0 (cos x)) (sqrt x))) (/ x (/ (- 1.0 (cos x)) x)) (/ x (/ (- 1.0 (cos x)) x)) (/ x (/ 1 x)) (* x x) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) (/ (- 1.0 (cos x)) x) (* -1 (/ (- (cos x) 1.0) x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) 6.410 * * [simplify]: iteration 0: 229 enodes 6.481 * * [simplify]: iteration 1: 530 enodes 6.710 * * [simplify]: iteration 2: 1389 enodes 7.967 * * [simplify]: iteration complete: 5001 enodes 7.967 * * [simplify]: Extracting #0: cost 125 inf + 0 7.971 * * [simplify]: Extracting #1: cost 1014 inf + 1 7.985 * * [simplify]: Extracting #2: cost 1865 inf + 4998 8.004 * * [simplify]: Extracting #3: cost 1147 inf + 112768 8.053 * * [simplify]: Extracting #4: cost 232 inf + 340947 8.157 * * [simplify]: Extracting #5: cost 13 inf + 404117 8.264 * * [simplify]: Extracting #6: cost 0 inf + 408028 8.354 * [simplify]: Simplified to: (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (- 1.0 (cos x)) (* (- 1.0 (cos x)) (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (* (* 1.0 1.0) 1.0) (* (cos x) (* (cos x) (cos x)))) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)) (- (cos x)) (* (+ (cos x) 1.0) (- 1.0 (cos x))) (+ (cos x) 1.0) (+ (sqrt (cos x)) (sqrt 1.0)) (- (sqrt 1.0) (sqrt (cos 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x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) x) (* (/ (cbrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (cbrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x)))) (/ (cbrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (* (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (cbrt (- 1.0 (cos x))) (cbrt x))) (sqrt x)) (/ (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (cbrt x)) (* (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (cbrt (- 1.0 (cos x))) (cbrt x))) (/ (/ (cbrt (- 1.0 (cos x))) x) (cbrt x)) (/ (* (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (cbrt (- 1.0 (cos x))) (cbrt x))) (sqrt x)) (/ (cbrt (- 1.0 (cos x))) (* (sqrt x) (cbrt x))) (* (/ (cbrt (- 1.0 (cos x))) x) (cbrt (- 1.0 (cos x)))) (/ (cbrt (- 1.0 (cos x))) x) (* (cbrt (- 1.0 (cos x))) (/ (cbrt (- 1.0 (cos x))) (sqrt x))) (/ (/ (cbrt (- 1.0 (cos x))) (sqrt x)) x) (* (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (cbrt (- 1.0 (cos x))) (cbrt x))) (/ (/ (cbrt (- 1.0 (cos x))) x) (cbrt x)) (* (cbrt (- 1.0 (cos x))) (/ (cbrt (- 1.0 (cos x))) (sqrt x))) (/ (/ (cbrt (- 1.0 (cos x))) x) (sqrt x)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ (cbrt (- 1.0 (cos x))) (* x x)) (/ (sqrt (- 1.0 (cos x))) (* (* (cbrt x) (cbrt x)) (* (cbrt x) (cbrt x)))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (sqrt x))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (* x (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (sqrt x))) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (* (sqrt x) x)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (* x (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (* (sqrt x) x)) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) (* x x)) (/ (/ 1 (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (/ 1 (* (cbrt x) (cbrt x))) (sqrt x)) (/ (/ (- 1.0 (cos x)) (cbrt x)) (sqrt x)) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ 1 (* (cbrt x) (cbrt x))) (sqrt x)) (/ (/ (- 1.0 (cos x)) (cbrt x)) (sqrt x)) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (* x (sqrt x))) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (* x (sqrt x))) 1 (/ (- 1.0 (cos x)) (* x x)) (/ (/ (+ (sqrt (cos x)) (sqrt 1.0)) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (/ (+ (sqrt (cos x)) (sqrt 1.0)) (* (sqrt x) (* (cbrt x) (cbrt x)))) (/ (- (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (sqrt x))) (/ (+ (sqrt (cos x)) (sqrt 1.0)) (* (cbrt x) (cbrt x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (* x (cbrt x))) (/ (+ (sqrt (cos x)) (sqrt 1.0)) (* (sqrt x) (* (cbrt x) (cbrt x)))) (/ (- (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (sqrt x))) (/ (+ (sqrt (cos x)) (sqrt 1.0)) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ (+ (sqrt (cos x)) (sqrt 1.0)) (sqrt x)) (/ (- (sqrt 1.0) (sqrt (cos x))) (* x (sqrt x))) (/ (+ (sqrt (cos x)) (sqrt 1.0)) (* (cbrt x) (cbrt x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (* x (cbrt x))) (/ (+ (sqrt (cos x)) (sqrt 1.0)) (sqrt x)) (/ (- (sqrt 1.0) (sqrt (cos x))) (* x (sqrt x))) (+ (sqrt (cos x)) (sqrt 1.0)) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) x) x) (/ (/ 1 (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (/ 1 (* (cbrt x) (cbrt x))) (sqrt x)) (/ (/ (- 1.0 (cos x)) (cbrt x)) (sqrt x)) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ 1 (* (cbrt x) (cbrt x))) (sqrt x)) (/ (/ (- 1.0 (cos x)) (cbrt x)) (sqrt x)) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (* x (sqrt x))) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (* x (sqrt x))) 1 (/ (- 1.0 (cos x)) (* x x)) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (* x (sqrt x))) 1 (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (/ 1 x) (cbrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ (/ 1 x) (sqrt x)) (- 1.0 (cos x)) (/ (/ 1 x) x) (/ 1 x) (/ (* x x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* x (* (cbrt x) (cbrt x)))) (/ (- 1.0 (cos x)) (* x (sqrt x))) (/ (- 1.0 (cos x)) x) (/ x (cbrt (/ (- 1.0 (cos x)) x))) (/ x (sqrt (/ (- 1.0 (cos x)) x))) (* (/ x (cbrt (- 1.0 (cos x)))) (cbrt x)) (/ (* x (sqrt x)) (cbrt (- 1.0 (cos x)))) (/ (* x x) (cbrt (- 1.0 (cos x)))) (/ x (/ (sqrt (- 1.0 (cos x))) (cbrt x))) (/ (* (sqrt x) x) (sqrt (- 1.0 (cos x)))) (/ (* x x) (sqrt (- 1.0 (cos x)))) (/ (* x (cbrt x)) (- 1.0 (cos x))) (/ (* x (sqrt x)) (- 1.0 (cos x))) (/ (* x x) (- 1.0 (cos x))) (* (/ x (- (sqrt 1.0) (sqrt (cos x)))) (cbrt x)) (/ (* x (sqrt x)) (- (sqrt 1.0) (sqrt (cos x)))) (/ (* x x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (* x (cbrt x)) (- 1.0 (cos x))) (/ (* x (sqrt x)) (- 1.0 (cos x))) (/ (* x x) (- 1.0 (cos x))) (/ (* x x) (- 1.0 (cos x))) (* x x) (* x x) (+ (+ (* -1/24 (* (* x x) (* x x))) (* (* 1/2 x) x)) (* 1/720 (* (* (* x x) (* x x)) (* x x)))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* (pow x 5) 1/720) (* x (- 1/2 (* (* 1/24 x) x)))) (/ (- 1.0 (cos x)) x) (- (/ (- (cos x) 1.0) x)) (+ (* (* 1/720 (* x x)) (* x x)) (+ 1/2 (* (* x x) -1/24))) (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)) 8.362 * * * [progress]: adding candidates to table 8.937 * * [progress]: iteration 4 / 4 8.937 * * * [progress]: picking best candidate 8.980 * * * * [pick]: Picked # 8.980 * * * [progress]: localizing error 9.015 * * * [progress]: generating rewritten candidates 9.015 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 9.053 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 9.058 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2 1 2) 9.073 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2 1) 9.109 * * * [progress]: generating series expansions 9.109 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 9.110 * [backup-simplify]: Simplify (- (pow 1.0 3) (pow (cos x) 3)) into (- 1.0 (pow (cos x) 3)) 9.110 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in (x) around 0 9.110 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 9.110 * [taylor]: Taking taylor expansion of 1.0 in x 9.110 * [backup-simplify]: Simplify 1.0 into 1.0 9.110 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 9.110 * [taylor]: Taking taylor expansion of (cos x) in x 9.110 * [taylor]: Taking taylor expansion of x in x 9.110 * [backup-simplify]: Simplify 0 into 0 9.110 * [backup-simplify]: Simplify 1 into 1 9.111 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 9.111 * [taylor]: Taking taylor expansion of 1.0 in x 9.111 * [backup-simplify]: Simplify 1.0 into 1.0 9.111 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 9.111 * [taylor]: Taking taylor expansion of (cos x) in x 9.111 * [taylor]: Taking taylor expansion of x in x 9.111 * [backup-simplify]: Simplify 0 into 0 9.111 * [backup-simplify]: Simplify 1 into 1 9.112 * [backup-simplify]: Simplify (* 1 1) into 1 9.112 * [backup-simplify]: Simplify (* 1 1) into 1 9.112 * [backup-simplify]: Simplify (- 1) into -1 9.113 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 9.113 * [backup-simplify]: Simplify 0 into 0 9.113 * [backup-simplify]: Simplify (+ 0) into 0 9.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.115 * [backup-simplify]: Simplify (- 0) into 0 9.115 * [backup-simplify]: Simplify (+ 0 0) into 0 9.115 * [backup-simplify]: Simplify 0 into 0 9.116 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 9.117 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/2 1))) into -1 9.118 * [backup-simplify]: Simplify (+ (* 1 -1) (+ (* 0 0) (* -1/2 1))) into -3/2 9.119 * [backup-simplify]: Simplify (- -3/2) into 3/2 9.119 * [backup-simplify]: Simplify (+ 0 3/2) into 3/2 9.119 * [backup-simplify]: Simplify 3/2 into 3/2 9.120 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 9.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/2 0) (* 0 1)))) into 0 9.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1) (+ (* -1/2 0) (* 0 1)))) into 0 9.123 * [backup-simplify]: Simplify (- 0) into 0 9.124 * [backup-simplify]: Simplify (+ 0 0) into 0 9.124 * [backup-simplify]: Simplify 0 into 0 9.127 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 9.128 * [backup-simplify]: Simplify (+ (* 1 1/24) (+ (* 0 0) (+ (* -1/2 -1/2) (+ (* 0 0) (* 1/24 1))))) into 1/3 9.130 * [backup-simplify]: Simplify (+ (* 1 1/3) (+ (* 0 0) (+ (* -1/2 -1) (+ (* 0 0) (* 1/24 1))))) into 7/8 9.130 * [backup-simplify]: Simplify (- 7/8) into -7/8 9.131 * [backup-simplify]: Simplify (+ 0 -7/8) into -7/8 9.131 * [backup-simplify]: Simplify -7/8 into -7/8 9.133 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 9.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/2 0) (+ (* 0 -1/2) (+ (* 1/24 0) (* 0 1)))))) into 0 9.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/3) (+ (* -1/2 0) (+ (* 0 -1) (+ (* 1/24 0) (* 0 1)))))) into 0 9.136 * [backup-simplify]: Simplify (- 0) into 0 9.136 * [backup-simplify]: Simplify (+ 0 0) into 0 9.136 * [backup-simplify]: Simplify 0 into 0 9.139 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 9.140 * [backup-simplify]: Simplify (+ (* 1 -1/720) (+ (* 0 0) (+ (* -1/2 1/24) (+ (* 0 0) (+ (* 1/24 -1/2) (+ (* 0 0) (* -1/720 1))))))) into -2/45 9.142 * [backup-simplify]: Simplify (+ (* 1 -2/45) (+ (* 0 0) (+ (* -1/2 1/3) (+ (* 0 0) (+ (* 1/24 -1) (+ (* 0 0) (* -1/720 1))))))) into -61/240 9.142 * [backup-simplify]: Simplify (- -61/240) into 61/240 9.142 * [backup-simplify]: Simplify (+ 0 61/240) into 61/240 9.142 * [backup-simplify]: Simplify 61/240 into 61/240 9.142 * [backup-simplify]: Simplify (+ (* 61/240 (pow x 6)) (+ (* -7/8 (pow x 4)) (* 3/2 (pow x 2)))) into (- (+ (* 3/2 (pow x 2)) (* 61/240 (pow x 6))) (* 7/8 (pow x 4))) 9.143 * [backup-simplify]: Simplify (- (pow 1.0 3) (pow (cos (/ 1 x)) 3)) into (- 1.0 (pow (cos (/ 1 x)) 3)) 9.143 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in (x) around 0 9.143 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 9.143 * [taylor]: Taking taylor expansion of 1.0 in x 9.143 * [backup-simplify]: Simplify 1.0 into 1.0 9.143 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 9.143 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 9.143 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.143 * [taylor]: Taking taylor expansion of x in x 9.143 * [backup-simplify]: Simplify 0 into 0 9.143 * [backup-simplify]: Simplify 1 into 1 9.143 * [backup-simplify]: Simplify (/ 1 1) into 1 9.143 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 9.143 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 9.143 * [taylor]: Taking taylor expansion of 1.0 in x 9.143 * [backup-simplify]: Simplify 1.0 into 1.0 9.143 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 9.144 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 9.144 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.144 * [taylor]: Taking taylor expansion of x in x 9.144 * [backup-simplify]: Simplify 0 into 0 9.144 * [backup-simplify]: Simplify 1 into 1 9.144 * [backup-simplify]: Simplify (/ 1 1) into 1 9.144 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 9.144 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (cos (/ 1 x))) into (pow (cos (/ 1 x)) 2) 9.144 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (pow (cos (/ 1 x)) 2)) into (pow (cos (/ 1 x)) 3) 9.144 * [backup-simplify]: Simplify (- (pow (cos (/ 1 x)) 3)) into (- (pow (cos (/ 1 x)) 3)) 9.144 * [backup-simplify]: Simplify (+ 1.0 (- (pow (cos (/ 1 x)) 3))) into (- 1.0 (pow (cos (/ 1 x)) 3)) 9.145 * [backup-simplify]: Simplify (- 1.0 (pow (cos (/ 1 x)) 3)) into (- 1.0 (pow (cos (/ 1 x)) 3)) 9.145 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (cos (/ 1 x)))) into 0 9.145 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (pow (cos (/ 1 x)) 2))) into 0 9.145 * [backup-simplify]: Simplify (- 0) into 0 9.145 * [backup-simplify]: Simplify (+ 0 0) into 0 9.145 * [backup-simplify]: Simplify 0 into 0 9.146 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) into 0 9.146 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2)))) into 0 9.146 * [backup-simplify]: Simplify (- 0) into 0 9.147 * [backup-simplify]: Simplify (+ 0 0) into 0 9.147 * [backup-simplify]: Simplify 0 into 0 9.147 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) into 0 9.148 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2))))) into 0 9.148 * [backup-simplify]: Simplify (- 0) into 0 9.148 * [backup-simplify]: Simplify (+ 0 0) into 0 9.148 * [backup-simplify]: Simplify 0 into 0 9.149 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))) into 0 9.150 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2)))))) into 0 9.150 * [backup-simplify]: Simplify (- 0) into 0 9.150 * [backup-simplify]: Simplify (+ 0 0) into 0 9.150 * [backup-simplify]: Simplify 0 into 0 9.151 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))) into 0 9.152 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2))))))) into 0 9.153 * [backup-simplify]: Simplify (- 0) into 0 9.153 * [backup-simplify]: Simplify (+ 0 0) into 0 9.153 * [backup-simplify]: Simplify 0 into 0 9.154 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))))) into 0 9.155 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2)))))))) into 0 9.156 * [backup-simplify]: Simplify (- 0) into 0 9.156 * [backup-simplify]: Simplify (+ 0 0) into 0 9.156 * [backup-simplify]: Simplify 0 into 0 9.156 * [backup-simplify]: Simplify (- 1.0 (pow (cos (/ 1 (/ 1 x))) 3)) into (- 1.0 (pow (cos x) 3)) 9.157 * [backup-simplify]: Simplify (- (pow 1.0 3) (pow (cos (/ 1 (- x))) 3)) into (- 1.0 (pow (cos (/ -1 x)) 3)) 9.157 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in (x) around 0 9.157 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 9.157 * [taylor]: Taking taylor expansion of 1.0 in x 9.157 * [backup-simplify]: Simplify 1.0 into 1.0 9.157 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 9.157 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 9.157 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.157 * [taylor]: Taking taylor expansion of -1 in x 9.157 * [backup-simplify]: Simplify -1 into -1 9.157 * [taylor]: Taking taylor expansion of x in x 9.157 * [backup-simplify]: Simplify 0 into 0 9.157 * [backup-simplify]: Simplify 1 into 1 9.157 * [backup-simplify]: Simplify (/ -1 1) into -1 9.157 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 9.157 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 9.157 * [taylor]: Taking taylor expansion of 1.0 in x 9.157 * [backup-simplify]: Simplify 1.0 into 1.0 9.157 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 9.157 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 9.157 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.157 * [taylor]: Taking taylor expansion of -1 in x 9.157 * [backup-simplify]: Simplify -1 into -1 9.157 * [taylor]: Taking taylor expansion of x in x 9.157 * [backup-simplify]: Simplify 0 into 0 9.157 * [backup-simplify]: Simplify 1 into 1 9.158 * [backup-simplify]: Simplify (/ -1 1) into -1 9.158 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 9.158 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (cos (/ -1 x))) into (pow (cos (/ -1 x)) 2) 9.158 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (pow (cos (/ -1 x)) 2)) into (pow (cos (/ -1 x)) 3) 9.158 * [backup-simplify]: Simplify (- (pow (cos (/ -1 x)) 3)) into (- (pow (cos (/ -1 x)) 3)) 9.158 * [backup-simplify]: Simplify (+ 1.0 (- (pow (cos (/ -1 x)) 3))) into (- 1.0 (pow (cos (/ -1 x)) 3)) 9.158 * [backup-simplify]: Simplify (- 1.0 (pow (cos (/ -1 x)) 3)) into (- 1.0 (pow (cos (/ -1 x)) 3)) 9.158 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (cos (/ -1 x)))) into 0 9.159 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (pow (cos (/ -1 x)) 2))) into 0 9.159 * [backup-simplify]: Simplify (- 0) into 0 9.159 * [backup-simplify]: Simplify (+ 0 0) into 0 9.159 * [backup-simplify]: Simplify 0 into 0 9.160 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))) into 0 9.160 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2)))) into 0 9.161 * [backup-simplify]: Simplify (- 0) into 0 9.161 * [backup-simplify]: Simplify (+ 0 0) into 0 9.161 * [backup-simplify]: Simplify 0 into 0 9.162 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) into 0 9.163 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2))))) into 0 9.163 * [backup-simplify]: Simplify (- 0) into 0 9.163 * [backup-simplify]: Simplify (+ 0 0) into 0 9.164 * [backup-simplify]: Simplify 0 into 0 9.165 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))) into 0 9.166 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2)))))) into 0 9.166 * [backup-simplify]: Simplify (- 0) into 0 9.167 * [backup-simplify]: Simplify (+ 0 0) into 0 9.167 * [backup-simplify]: Simplify 0 into 0 9.168 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))) into 0 9.170 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2))))))) into 0 9.170 * [backup-simplify]: Simplify (- 0) into 0 9.171 * [backup-simplify]: Simplify (+ 0 0) into 0 9.171 * [backup-simplify]: Simplify 0 into 0 9.172 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))))) into 0 9.174 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2)))))))) into 0 9.175 * [backup-simplify]: Simplify (- 0) into 0 9.175 * [backup-simplify]: Simplify (+ 0 0) into 0 9.175 * [backup-simplify]: Simplify 0 into 0 9.175 * [backup-simplify]: Simplify (- 1.0 (pow (cos (/ -1 (/ 1 (- x)))) 3)) into (- 1.0 (pow (cos x) 3)) 9.175 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 9.176 * [backup-simplify]: Simplify (pow (cos x) 3) into (pow (cos x) 3) 9.176 * [approximate]: Taking taylor expansion of (pow (cos x) 3) in (x) around 0 9.176 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 9.176 * [taylor]: Taking taylor expansion of (cos x) in x 9.176 * [taylor]: Taking taylor expansion of x in x 9.176 * [backup-simplify]: Simplify 0 into 0 9.176 * [backup-simplify]: Simplify 1 into 1 9.176 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 9.176 * [taylor]: Taking taylor expansion of (cos x) in x 9.176 * [taylor]: Taking taylor expansion of x in x 9.176 * [backup-simplify]: Simplify 0 into 0 9.176 * [backup-simplify]: Simplify 1 into 1 9.176 * [backup-simplify]: Simplify (* 1 1) into 1 9.177 * [backup-simplify]: Simplify (* 1 1) into 1 9.177 * [backup-simplify]: Simplify 1 into 1 9.177 * [backup-simplify]: Simplify (+ 0) into 0 9.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.178 * [backup-simplify]: Simplify 0 into 0 9.179 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 9.180 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/2 1))) into -1 9.181 * [backup-simplify]: Simplify (+ (* 1 -1) (+ (* 0 0) (* -1/2 1))) into -3/2 9.181 * [backup-simplify]: Simplify -3/2 into -3/2 9.185 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 9.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/2 0) (* 0 1)))) into 0 9.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1) (+ (* -1/2 0) (* 0 1)))) into 0 9.187 * [backup-simplify]: Simplify 0 into 0 9.188 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 9.189 * [backup-simplify]: Simplify (+ (* 1 1/24) (+ (* 0 0) (+ (* -1/2 -1/2) (+ (* 0 0) (* 1/24 1))))) into 1/3 9.190 * [backup-simplify]: Simplify (+ (* 1 1/3) (+ (* 0 0) (+ (* -1/2 -1) (+ (* 0 0) (* 1/24 1))))) into 7/8 9.190 * [backup-simplify]: Simplify 7/8 into 7/8 9.191 * [backup-simplify]: Simplify (+ (* 7/8 (pow x 4)) (+ (* -3/2 (pow x 2)) 1)) into (- (+ (* 7/8 (pow x 4)) 1) (* 3/2 (pow x 2))) 9.191 * [backup-simplify]: Simplify (pow (cos (/ 1 x)) 3) into (pow (cos (/ 1 x)) 3) 9.191 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in (x) around 0 9.191 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 9.191 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 9.191 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.191 * [taylor]: Taking taylor expansion of x in x 9.191 * [backup-simplify]: Simplify 0 into 0 9.191 * [backup-simplify]: Simplify 1 into 1 9.191 * [backup-simplify]: Simplify (/ 1 1) into 1 9.191 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 9.191 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 9.191 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 9.191 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.191 * [taylor]: Taking taylor expansion of x in x 9.191 * [backup-simplify]: Simplify 0 into 0 9.191 * [backup-simplify]: Simplify 1 into 1 9.192 * [backup-simplify]: Simplify (/ 1 1) into 1 9.192 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 9.192 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (cos (/ 1 x))) into (pow (cos (/ 1 x)) 2) 9.192 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (pow (cos (/ 1 x)) 2)) into (pow (cos (/ 1 x)) 3) 9.192 * [backup-simplify]: Simplify (pow (cos (/ 1 x)) 3) into (pow (cos (/ 1 x)) 3) 9.192 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (cos (/ 1 x)))) into 0 9.192 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (pow (cos (/ 1 x)) 2))) into 0 9.192 * [backup-simplify]: Simplify 0 into 0 9.193 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) into 0 9.193 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2)))) into 0 9.193 * [backup-simplify]: Simplify 0 into 0 9.194 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) into 0 9.194 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2))))) into 0 9.194 * [backup-simplify]: Simplify 0 into 0 9.195 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))) into 0 9.196 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2)))))) into 0 9.196 * [backup-simplify]: Simplify 0 into 0 9.197 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))) into 0 9.198 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2))))))) into 0 9.198 * [backup-simplify]: Simplify 0 into 0 9.199 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))))) into 0 9.200 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 x)) 2)))))))) into 0 9.200 * [backup-simplify]: Simplify 0 into 0 9.201 * [backup-simplify]: Simplify (pow (cos (/ 1 (/ 1 x))) 3) into (pow (cos x) 3) 9.201 * [backup-simplify]: Simplify (pow (cos (/ 1 (- x))) 3) into (pow (cos (/ -1 x)) 3) 9.201 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in (x) around 0 9.201 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 9.201 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 9.201 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.201 * [taylor]: Taking taylor expansion of -1 in x 9.201 * [backup-simplify]: Simplify -1 into -1 9.201 * [taylor]: Taking taylor expansion of x in x 9.201 * [backup-simplify]: Simplify 0 into 0 9.201 * [backup-simplify]: Simplify 1 into 1 9.201 * [backup-simplify]: Simplify (/ -1 1) into -1 9.201 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 9.201 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 9.201 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 9.201 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.201 * [taylor]: Taking taylor expansion of -1 in x 9.201 * [backup-simplify]: Simplify -1 into -1 9.201 * [taylor]: Taking taylor expansion of x in x 9.201 * [backup-simplify]: Simplify 0 into 0 9.201 * [backup-simplify]: Simplify 1 into 1 9.202 * [backup-simplify]: Simplify (/ -1 1) into -1 9.202 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 9.202 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (cos (/ -1 x))) into (pow (cos (/ -1 x)) 2) 9.202 * [backup-simplify]: Simplify (* (cos (/ -1 x)) (pow (cos (/ -1 x)) 2)) into (pow (cos (/ -1 x)) 3) 9.202 * [backup-simplify]: Simplify (pow (cos (/ -1 x)) 3) into (pow (cos (/ -1 x)) 3) 9.202 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (cos (/ -1 x)))) into 0 9.202 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (pow (cos (/ -1 x)) 2))) into 0 9.202 * [backup-simplify]: Simplify 0 into 0 9.203 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))) into 0 9.203 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2)))) into 0 9.203 * [backup-simplify]: Simplify 0 into 0 9.204 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) into 0 9.204 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2))))) into 0 9.204 * [backup-simplify]: Simplify 0 into 0 9.205 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))) into 0 9.206 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2)))))) into 0 9.206 * [backup-simplify]: Simplify 0 into 0 9.207 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))) into 0 9.208 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2))))))) into 0 9.208 * [backup-simplify]: Simplify 0 into 0 9.209 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))))) into 0 9.211 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2)))))))) into 0 9.211 * [backup-simplify]: Simplify 0 into 0 9.211 * [backup-simplify]: Simplify (pow (cos (/ -1 (/ 1 (- x)))) 3) into (pow (cos x) 3) 9.211 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2 1 2) 9.211 * [backup-simplify]: Simplify (+ 1.0 (cos x)) into (+ (cos x) 1.0) 9.211 * [approximate]: Taking taylor expansion of (+ (cos x) 1.0) in (x) around 0 9.211 * [taylor]: Taking taylor expansion of (+ (cos x) 1.0) in x 9.211 * [taylor]: Taking taylor expansion of (cos x) in x 9.211 * [taylor]: Taking taylor expansion of x in x 9.211 * [backup-simplify]: Simplify 0 into 0 9.211 * [backup-simplify]: Simplify 1 into 1 9.211 * [taylor]: Taking taylor expansion of 1.0 in x 9.211 * [backup-simplify]: Simplify 1.0 into 1.0 9.211 * [taylor]: Taking taylor expansion of (+ (cos x) 1.0) in x 9.211 * [taylor]: Taking taylor expansion of (cos x) in x 9.211 * [taylor]: Taking taylor expansion of x in x 9.211 * [backup-simplify]: Simplify 0 into 0 9.211 * [backup-simplify]: Simplify 1 into 1 9.211 * [taylor]: Taking taylor expansion of 1.0 in x 9.211 * [backup-simplify]: Simplify 1.0 into 1.0 9.211 * [backup-simplify]: Simplify (+ 1 1.0) into 2.0 9.211 * [backup-simplify]: Simplify 2.0 into 2.0 9.212 * [backup-simplify]: Simplify (+ 0) into 0 9.212 * [backup-simplify]: Simplify (+ 0 0) into 0 9.212 * [backup-simplify]: Simplify 0 into 0 9.213 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 9.213 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 9.213 * [backup-simplify]: Simplify -1/2 into -1/2 9.214 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 9.214 * [backup-simplify]: Simplify (+ 0 0) into 0 9.214 * [backup-simplify]: Simplify 0 into 0 9.215 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 9.216 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 9.216 * [backup-simplify]: Simplify 1/24 into 1/24 9.216 * [backup-simplify]: Simplify (+ (* 1/24 (pow x 4)) (+ (* -1/2 (pow x 2)) 2.0)) into (- (+ (* 1/24 (pow x 4)) 2.0) (* 1/2 (pow x 2))) 9.216 * [backup-simplify]: Simplify (+ 1.0 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1.0) 9.216 * [approximate]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in (x) around 0 9.216 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 9.216 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 9.216 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.216 * [taylor]: Taking taylor expansion of x in x 9.216 * [backup-simplify]: Simplify 0 into 0 9.217 * [backup-simplify]: Simplify 1 into 1 9.217 * [backup-simplify]: Simplify (/ 1 1) into 1 9.217 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 9.217 * [taylor]: Taking taylor expansion of 1.0 in x 9.217 * [backup-simplify]: Simplify 1.0 into 1.0 9.217 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 9.217 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 9.217 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.217 * [taylor]: Taking taylor expansion of x in x 9.217 * [backup-simplify]: Simplify 0 into 0 9.217 * [backup-simplify]: Simplify 1 into 1 9.217 * [backup-simplify]: Simplify (/ 1 1) into 1 9.217 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 9.217 * [taylor]: Taking taylor expansion of 1.0 in x 9.217 * [backup-simplify]: Simplify 1.0 into 1.0 9.217 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1.0) into (+ (cos (/ 1 x)) 1.0) 9.217 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1.0) into (+ (cos (/ 1 x)) 1.0) 9.218 * [backup-simplify]: Simplify (+ 0 0) into 0 9.218 * [backup-simplify]: Simplify 0 into 0 9.218 * [backup-simplify]: Simplify (+ 0 0) into 0 9.218 * [backup-simplify]: Simplify 0 into 0 9.218 * [backup-simplify]: Simplify (+ 0 0) into 0 9.218 * [backup-simplify]: Simplify 0 into 0 9.219 * [backup-simplify]: Simplify (+ 0 0) into 0 9.219 * [backup-simplify]: Simplify 0 into 0 9.219 * [backup-simplify]: Simplify (+ 0 0) into 0 9.219 * [backup-simplify]: Simplify 0 into 0 9.219 * [backup-simplify]: Simplify (+ 0 0) into 0 9.219 * [backup-simplify]: Simplify 0 into 0 9.219 * [backup-simplify]: Simplify (+ (cos (/ 1 (/ 1 x))) 1.0) into (+ (cos x) 1.0) 9.219 * [backup-simplify]: Simplify (+ 1.0 (cos (/ 1 (- x)))) into (+ (cos (/ -1 x)) 1.0) 9.219 * [approximate]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in (x) around 0 9.219 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 9.219 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 9.219 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.219 * [taylor]: Taking taylor expansion of -1 in x 9.219 * [backup-simplify]: Simplify -1 into -1 9.219 * [taylor]: Taking taylor expansion of x in x 9.219 * [backup-simplify]: Simplify 0 into 0 9.219 * [backup-simplify]: Simplify 1 into 1 9.220 * [backup-simplify]: Simplify (/ -1 1) into -1 9.220 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 9.220 * [taylor]: Taking taylor expansion of 1.0 in x 9.220 * [backup-simplify]: Simplify 1.0 into 1.0 9.220 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 9.220 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 9.220 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.220 * [taylor]: Taking taylor expansion of -1 in x 9.220 * [backup-simplify]: Simplify -1 into -1 9.220 * [taylor]: Taking taylor expansion of x in x 9.220 * [backup-simplify]: Simplify 0 into 0 9.220 * [backup-simplify]: Simplify 1 into 1 9.220 * [backup-simplify]: Simplify (/ -1 1) into -1 9.220 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 9.220 * [taylor]: Taking taylor expansion of 1.0 in x 9.220 * [backup-simplify]: Simplify 1.0 into 1.0 9.220 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1.0) into (+ (cos (/ -1 x)) 1.0) 9.220 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1.0) into (+ (cos (/ -1 x)) 1.0) 9.221 * [backup-simplify]: Simplify (+ 0 0) into 0 9.221 * [backup-simplify]: Simplify 0 into 0 9.221 * [backup-simplify]: Simplify (+ 0 0) into 0 9.221 * [backup-simplify]: Simplify 0 into 0 9.221 * [backup-simplify]: Simplify (+ 0 0) into 0 9.221 * [backup-simplify]: Simplify 0 into 0 9.221 * [backup-simplify]: Simplify (+ 0 0) into 0 9.222 * [backup-simplify]: Simplify 0 into 0 9.222 * [backup-simplify]: Simplify (+ 0 0) into 0 9.222 * [backup-simplify]: Simplify 0 into 0 9.222 * [backup-simplify]: Simplify (+ 0 0) into 0 9.222 * [backup-simplify]: Simplify 0 into 0 9.222 * [backup-simplify]: Simplify (+ (cos (/ -1 (/ 1 (- x)))) 1.0) into (+ (cos x) 1.0) 9.222 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2 1) 9.222 * [backup-simplify]: Simplify (* (cos x) (+ 1.0 (cos x))) into (* (cos x) (+ (cos x) 1.0)) 9.222 * [approximate]: Taking taylor expansion of (* (cos x) (+ (cos x) 1.0)) in (x) around 0 9.222 * [taylor]: Taking taylor expansion of (* (cos x) (+ (cos x) 1.0)) in x 9.222 * [taylor]: Taking taylor expansion of (cos x) in x 9.222 * [taylor]: Taking taylor expansion of x in x 9.222 * [backup-simplify]: Simplify 0 into 0 9.222 * [backup-simplify]: Simplify 1 into 1 9.222 * [taylor]: Taking taylor expansion of (+ (cos x) 1.0) in x 9.222 * [taylor]: Taking taylor expansion of (cos x) in x 9.222 * [taylor]: Taking taylor expansion of x in x 9.222 * [backup-simplify]: Simplify 0 into 0 9.222 * [backup-simplify]: Simplify 1 into 1 9.222 * [taylor]: Taking taylor expansion of 1.0 in x 9.223 * [backup-simplify]: Simplify 1.0 into 1.0 9.223 * [taylor]: Taking taylor expansion of (* (cos x) (+ (cos x) 1.0)) in x 9.223 * [taylor]: Taking taylor expansion of (cos x) in x 9.223 * [taylor]: Taking taylor expansion of x in x 9.223 * [backup-simplify]: Simplify 0 into 0 9.223 * [backup-simplify]: Simplify 1 into 1 9.223 * [taylor]: Taking taylor expansion of (+ (cos x) 1.0) in x 9.223 * [taylor]: Taking taylor expansion of (cos x) in x 9.223 * [taylor]: Taking taylor expansion of x in x 9.223 * [backup-simplify]: Simplify 0 into 0 9.223 * [backup-simplify]: Simplify 1 into 1 9.223 * [taylor]: Taking taylor expansion of 1.0 in x 9.223 * [backup-simplify]: Simplify 1.0 into 1.0 9.223 * [backup-simplify]: Simplify (+ 1 1.0) into 2.0 9.223 * [backup-simplify]: Simplify (* 1 2.0) into 2.0 9.223 * [backup-simplify]: Simplify 2.0 into 2.0 9.224 * [backup-simplify]: Simplify (+ 0) into 0 9.224 * [backup-simplify]: Simplify (+ 0 0) into 0 9.224 * [backup-simplify]: Simplify (+ 0) into 0 9.224 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 2.0)) into 0 9.224 * [backup-simplify]: Simplify 0 into 0 9.225 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 9.225 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 9.226 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 9.228 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/2 2.0))) into (- 1.5) 9.228 * [backup-simplify]: Simplify (- 1.5) into (- 1.5) 9.229 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 9.229 * [backup-simplify]: Simplify (+ 0 0) into 0 9.230 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 9.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/2 0) (* 0 2.0)))) into 0 9.230 * [backup-simplify]: Simplify 0 into 0 9.232 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 9.232 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 9.234 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 9.238 * [backup-simplify]: Simplify (+ (* 1 1/24) (+ (* 0 0) (+ (* -1/2 -1/2) (+ (* 0 0) (* 1/24 2.0))))) into 0.375 9.238 * [backup-simplify]: Simplify 0.375 into 0.375 9.239 * [backup-simplify]: Simplify (+ (* 0.375 (pow x 4)) (+ (* (- 1.5) (pow x 2)) 2.0)) into (- (+ (* 0.375 (pow x 4)) 2.0) (* 1.5 (pow x 2))) 9.239 * [backup-simplify]: Simplify (* (cos (/ 1 x)) (+ 1.0 (cos (/ 1 x)))) into (* (+ (cos (/ 1 x)) 1.0) (cos (/ 1 x))) 9.239 * [approximate]: Taking taylor expansion of (* (+ (cos (/ 1 x)) 1.0) (cos (/ 1 x))) in (x) around 0 9.239 * [taylor]: Taking taylor expansion of (* (+ (cos (/ 1 x)) 1.0) (cos (/ 1 x))) in x 9.239 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 9.239 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 9.239 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.239 * [taylor]: Taking taylor expansion of x in x 9.239 * [backup-simplify]: Simplify 0 into 0 9.239 * [backup-simplify]: Simplify 1 into 1 9.239 * [backup-simplify]: Simplify (/ 1 1) into 1 9.239 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 9.239 * [taylor]: Taking taylor expansion of 1.0 in x 9.239 * [backup-simplify]: Simplify 1.0 into 1.0 9.239 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 9.239 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.239 * [taylor]: Taking taylor expansion of x in x 9.239 * [backup-simplify]: Simplify 0 into 0 9.239 * [backup-simplify]: Simplify 1 into 1 9.240 * [backup-simplify]: Simplify (/ 1 1) into 1 9.240 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 9.240 * [taylor]: Taking taylor expansion of (* (+ (cos (/ 1 x)) 1.0) (cos (/ 1 x))) in x 9.240 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 9.240 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 9.240 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.240 * [taylor]: Taking taylor expansion of x in x 9.240 * [backup-simplify]: Simplify 0 into 0 9.240 * [backup-simplify]: Simplify 1 into 1 9.240 * [backup-simplify]: Simplify (/ 1 1) into 1 9.240 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 9.240 * [taylor]: Taking taylor expansion of 1.0 in x 9.240 * [backup-simplify]: Simplify 1.0 into 1.0 9.240 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 9.240 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.240 * [taylor]: Taking taylor expansion of x in x 9.240 * [backup-simplify]: Simplify 0 into 0 9.240 * [backup-simplify]: Simplify 1 into 1 9.241 * [backup-simplify]: Simplify (/ 1 1) into 1 9.241 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 9.241 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1.0) into (+ (cos (/ 1 x)) 1.0) 9.241 * [backup-simplify]: Simplify (* (+ (cos (/ 1 x)) 1.0) (cos (/ 1 x))) into (* (+ (cos (/ 1 x)) 1.0) (cos (/ 1 x))) 9.241 * [backup-simplify]: Simplify (* (+ (cos (/ 1 x)) 1.0) (cos (/ 1 x))) into (* (+ (cos (/ 1 x)) 1.0) (cos (/ 1 x))) 9.241 * [backup-simplify]: Simplify (+ 0 0) into 0 9.241 * [backup-simplify]: Simplify (+ (* (+ (cos (/ 1 x)) 1.0) 0) (* 0 (cos (/ 1 x)))) into 0 9.241 * [backup-simplify]: Simplify 0 into 0 9.242 * [backup-simplify]: Simplify (+ 0 0) into 0 9.242 * [backup-simplify]: Simplify (+ (* (+ (cos (/ 1 x)) 1.0) 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) into 0 9.242 * [backup-simplify]: Simplify 0 into 0 9.242 * [backup-simplify]: Simplify (+ 0 0) into 0 9.243 * [backup-simplify]: Simplify (+ (* (+ (cos (/ 1 x)) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) into 0 9.243 * [backup-simplify]: Simplify 0 into 0 9.243 * [backup-simplify]: Simplify (+ 0 0) into 0 9.244 * [backup-simplify]: Simplify (+ (* (+ (cos (/ 1 x)) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))) into 0 9.244 * [backup-simplify]: Simplify 0 into 0 9.244 * [backup-simplify]: Simplify (+ 0 0) into 0 9.245 * [backup-simplify]: Simplify (+ (* (+ (cos (/ 1 x)) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))) into 0 9.245 * [backup-simplify]: Simplify 0 into 0 9.245 * [backup-simplify]: Simplify (+ 0 0) into 0 9.247 * [backup-simplify]: Simplify (+ (* (+ (cos (/ 1 x)) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))))) into 0 9.247 * [backup-simplify]: Simplify 0 into 0 9.247 * [backup-simplify]: Simplify (* (+ (cos (/ 1 (/ 1 x))) 1.0) (cos (/ 1 (/ 1 x)))) into (* (cos x) (+ (cos x) 1.0)) 9.247 * [backup-simplify]: Simplify (* (cos (/ 1 (- x))) (+ 1.0 (cos (/ 1 (- x))))) into (* (+ (cos (/ -1 x)) 1.0) (cos (/ -1 x))) 9.247 * [approximate]: Taking taylor expansion of (* (+ (cos (/ -1 x)) 1.0) (cos (/ -1 x))) in (x) around 0 9.247 * [taylor]: Taking taylor expansion of (* (+ (cos (/ -1 x)) 1.0) (cos (/ -1 x))) in x 9.247 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 9.247 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 9.247 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.247 * [taylor]: Taking taylor expansion of -1 in x 9.247 * [backup-simplify]: Simplify -1 into -1 9.247 * [taylor]: Taking taylor expansion of x in x 9.247 * [backup-simplify]: Simplify 0 into 0 9.247 * [backup-simplify]: Simplify 1 into 1 9.247 * [backup-simplify]: Simplify (/ -1 1) into -1 9.248 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 9.248 * [taylor]: Taking taylor expansion of 1.0 in x 9.248 * [backup-simplify]: Simplify 1.0 into 1.0 9.248 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 9.248 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.248 * [taylor]: Taking taylor expansion of -1 in x 9.248 * [backup-simplify]: Simplify -1 into -1 9.248 * [taylor]: Taking taylor expansion of x in x 9.248 * [backup-simplify]: Simplify 0 into 0 9.248 * [backup-simplify]: Simplify 1 into 1 9.248 * [backup-simplify]: Simplify (/ -1 1) into -1 9.248 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 9.248 * [taylor]: Taking taylor expansion of (* (+ (cos (/ -1 x)) 1.0) (cos (/ -1 x))) in x 9.248 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 9.248 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 9.248 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.248 * [taylor]: Taking taylor expansion of -1 in x 9.248 * [backup-simplify]: Simplify -1 into -1 9.248 * [taylor]: Taking taylor expansion of x in x 9.248 * [backup-simplify]: Simplify 0 into 0 9.248 * [backup-simplify]: Simplify 1 into 1 9.248 * [backup-simplify]: Simplify (/ -1 1) into -1 9.248 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 9.248 * [taylor]: Taking taylor expansion of 1.0 in x 9.249 * [backup-simplify]: Simplify 1.0 into 1.0 9.249 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 9.249 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.249 * [taylor]: Taking taylor expansion of -1 in x 9.249 * [backup-simplify]: Simplify -1 into -1 9.249 * [taylor]: Taking taylor expansion of x in x 9.249 * [backup-simplify]: Simplify 0 into 0 9.249 * [backup-simplify]: Simplify 1 into 1 9.249 * [backup-simplify]: Simplify (/ -1 1) into -1 9.249 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 9.249 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1.0) into (+ (cos (/ -1 x)) 1.0) 9.249 * [backup-simplify]: Simplify (* (+ (cos (/ -1 x)) 1.0) (cos (/ -1 x))) into (* (+ (cos (/ -1 x)) 1.0) (cos (/ -1 x))) 9.249 * [backup-simplify]: Simplify (* (+ (cos (/ -1 x)) 1.0) (cos (/ -1 x))) into (* (+ (cos (/ -1 x)) 1.0) (cos (/ -1 x))) 9.250 * [backup-simplify]: Simplify (+ 0 0) into 0 9.250 * [backup-simplify]: Simplify (+ (* (+ (cos (/ -1 x)) 1.0) 0) (* 0 (cos (/ -1 x)))) into 0 9.250 * [backup-simplify]: Simplify 0 into 0 9.250 * [backup-simplify]: Simplify (+ 0 0) into 0 9.250 * [backup-simplify]: Simplify (+ (* (+ (cos (/ -1 x)) 1.0) 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))) into 0 9.250 * [backup-simplify]: Simplify 0 into 0 9.251 * [backup-simplify]: Simplify (+ 0 0) into 0 9.251 * [backup-simplify]: Simplify (+ (* (+ (cos (/ -1 x)) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) into 0 9.251 * [backup-simplify]: Simplify 0 into 0 9.251 * [backup-simplify]: Simplify (+ 0 0) into 0 9.252 * [backup-simplify]: Simplify (+ (* (+ (cos (/ -1 x)) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))) into 0 9.252 * [backup-simplify]: Simplify 0 into 0 9.252 * [backup-simplify]: Simplify (+ 0 0) into 0 9.254 * [backup-simplify]: Simplify (+ (* (+ (cos (/ -1 x)) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))) into 0 9.254 * [backup-simplify]: Simplify 0 into 0 9.254 * [backup-simplify]: Simplify (+ 0 0) into 0 9.256 * [backup-simplify]: Simplify (+ (* (+ (cos (/ -1 x)) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))))) into 0 9.256 * [backup-simplify]: Simplify 0 into 0 9.256 * [backup-simplify]: Simplify (* (+ (cos (/ -1 (/ 1 (- x)))) 1.0) (cos (/ -1 (/ 1 (- x))))) into (* (cos x) (+ (cos x) 1.0)) 9.256 * * * [progress]: simplifying candidates 9.259 * [simplify]: Simplifying: (/ (exp (pow 1.0 3)) (exp (pow (cos x) 3))) (log (- (pow 1.0 3) (pow (cos x) 3))) (exp (- (pow 1.0 3) (pow (cos x) 3))) (* (cbrt (- (pow 1.0 3) (pow (cos x) 3))) (cbrt (- (pow 1.0 3) (pow (cos x) 3)))) (cbrt (- (pow 1.0 3) (pow (cos x) 3))) (* (* (- (pow 1.0 3) (pow (cos x) 3)) (- (pow 1.0 3) (pow (cos x) 3))) (- (pow 1.0 3) (pow (cos x) 3))) (sqrt (- (pow 1.0 3) (pow (cos x) 3))) (sqrt (- (pow 1.0 3) (pow (cos x) 3))) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- 1.0 (cos x)) (- (pow (pow 1.0 3) 3) (pow (pow (cos x) 3) 3)) (+ (* (pow 1.0 3) (pow 1.0 3)) (+ (* (pow (cos x) 3) (pow (cos x) 3)) (* (pow 1.0 3) (pow (cos x) 3)))) (- (pow (cos x) 3)) (- (* (pow 1.0 3) (pow 1.0 3)) (* (pow (cos x) 3) (pow (cos x) 3))) (+ (pow 1.0 3) (pow (cos x) 3)) (+ (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3)) (- (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3)) (+ (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3)) (- (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3)) (+ (pow (sqrt 1.0) 3) (sqrt (pow (cos x) 3))) (- (pow (sqrt 1.0) 3) (sqrt (pow (cos x) 3))) (+ (pow (sqrt 1.0) 3) (pow (cos x) (/ 3 2))) (- (pow (sqrt 1.0) 3) (pow (cos x) (/ 3 2))) (+ (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3)) (- (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3)) (+ (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3)) (- (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3)) (+ (pow (sqrt 1.0) 3) (sqrt (pow (cos x) 3))) (- (pow (sqrt 1.0) 3) (sqrt (pow (cos x) 3))) (+ (pow (sqrt 1.0) 3) (pow (cos x) (/ 3 2))) (- (pow (sqrt 1.0) 3) (pow (cos x) (/ 3 2))) (+ (sqrt (pow 1.0 3)) (pow (sqrt (cos x)) 3)) (- (sqrt (pow 1.0 3)) (pow (sqrt (cos x)) 3)) (+ (sqrt (pow 1.0 3)) (pow (sqrt (cos x)) 3)) (- (sqrt (pow 1.0 3)) (pow (sqrt (cos x)) 3)) (+ (sqrt (pow 1.0 3)) (sqrt (pow (cos x) 3))) (- (sqrt (pow 1.0 3)) (sqrt (pow (cos x) 3))) (+ (sqrt (pow 1.0 3)) (pow (cos x) (/ 3 2))) (- (sqrt (pow 1.0 3)) (pow (cos x) (/ 3 2))) (+ (pow 1.0 (/ 3 2)) (pow (sqrt (cos x)) 3)) (- (pow 1.0 (/ 3 2)) (pow (sqrt (cos x)) 3)) (+ (pow 1.0 (/ 3 2)) (pow (sqrt (cos x)) 3)) (- (pow 1.0 (/ 3 2)) (pow (sqrt (cos x)) 3)) (+ (pow 1.0 (/ 3 2)) (sqrt (pow (cos x) 3))) (- (pow 1.0 (/ 3 2)) (sqrt (pow (cos x) 3))) (+ (pow 1.0 (/ 3 2)) (pow (cos x) (/ 3 2))) (- (pow 1.0 (/ 3 2)) (pow (cos x) (/ 3 2))) (- (pow 1.0 3) (pow (cos x) 3)) (- (pow 1.0 3) (pow (cos x) 3)) (- (pow 1.0 3) (pow (cos x) 3)) (- (pow 1.0 3) (pow (cos x) 3)) (- (pow 1.0 3) (pow (cos x) 3)) (- (pow (cos x) 3)) (* (log (cos x)) 3) (* (log (cos x)) 3) (* 1 3) (pow (cos x) (* (cbrt 3) (cbrt 3))) (pow (cos x) (sqrt 3)) (pow (cos x) 1) (pow (* (cbrt (cos x)) (cbrt (cos x))) 3) (pow (cbrt (cos x)) 3) (pow (sqrt (cos x)) 3) (pow (sqrt (cos x)) 3) (pow 1 3) (pow (cos x) 3) (* (cos x) (cos x)) (log (pow (cos x) 3)) (exp (pow (cos x) 3)) (* (cbrt (pow (cos x) 3)) (cbrt (pow (cos x) 3))) (cbrt (pow (cos x) 3)) (* (* (pow (cos x) 3) (pow (cos x) 3)) (pow (cos x) 3)) (pow (* (cbrt (cos x)) (cbrt (cos x))) 3) (pow (cbrt (cos x)) 3) (pow (sqrt (cos x)) 3) (pow (sqrt (cos x)) 3) (pow 1 3) (pow (cos x) 3) (* (cos x) (cos x)) (sqrt (pow (cos x) 3)) (sqrt (pow (cos x) 3)) (pow (cos x) (/ 3 2)) (pow (cos x) (/ 3 2)) (* (exp 1.0) (exp (cos x))) (log (+ 1.0 (cos x))) (exp (+ 1.0 (cos x))) (* (cbrt (+ 1.0 (cos x))) (cbrt (+ 1.0 (cos x)))) (cbrt (+ 1.0 (cos x))) (* (* (+ 1.0 (cos x)) (+ 1.0 (cos x))) (+ 1.0 (cos x))) (sqrt (+ 1.0 (cos x))) (sqrt (+ 1.0 (cos x))) (+ (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (- (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (* 1.0 1.0) (* (cos x) (cos x))) (- 1.0 (cos x)) (+ 1.0 (cos x)) (* (cos x) (+ 1.0 (cos x))) (+ (log (cos x)) (log (+ 1.0 (cos x)))) (log (* (cos x) (+ 1.0 (cos x)))) (exp (* (cos x) (+ 1.0 (cos x)))) (* (* (* (cos x) (cos x)) (cos x)) (* (* (+ 1.0 (cos x)) (+ 1.0 (cos x))) (+ 1.0 (cos x)))) (* (cbrt (* (cos x) (+ 1.0 (cos x)))) (cbrt (* (cos x) (+ 1.0 (cos x))))) (cbrt (* (cos x) (+ 1.0 (cos x)))) (* (* (* (cos x) (+ 1.0 (cos x))) (* (cos x) (+ 1.0 (cos x)))) (* (cos x) (+ 1.0 (cos x)))) (sqrt (* (cos x) (+ 1.0 (cos x)))) (sqrt (* (cos x) (+ 1.0 (cos x)))) (* (sqrt (cos x)) (sqrt (+ 1.0 (cos x)))) (* (sqrt (cos x)) (sqrt (+ 1.0 (cos x)))) (* (cos x) 1.0) (* (cos x) (cos x)) (* 1.0 (cos x)) (* (cos x) (cos x)) (* (cos x) (* (cbrt (+ 1.0 (cos x))) (cbrt (+ 1.0 (cos x))))) (* (cos x) (sqrt (+ 1.0 (cos x)))) (* (cos x) 1) (* (cos x) 1) (* (cbrt (cos x)) (+ 1.0 (cos x))) (* (sqrt (cos x)) (+ 1.0 (cos x))) (* (cos x) (+ 1.0 (cos x))) (* (cos x) (+ (pow 1.0 3) (pow (cos x) 3))) (* (cos x) (- (* 1.0 1.0) (* (cos x) (cos x)))) (- (+ (* 3/2 (pow x 2)) (* 61/240 (pow x 6))) (* 7/8 (pow x 4))) (- 1.0 (pow (cos x) 3)) (- 1.0 (pow (cos x) 3)) (- (+ (* 7/8 (pow x 4)) 1) (* 3/2 (pow x 2))) (pow (cos x) 3) (pow (cos x) 3) (- (+ (* 1/24 (pow x 4)) 2.0) (* 1/2 (pow x 2))) (+ (cos x) 1.0) (+ (cos x) 1.0) (- (+ (* 0.375 (pow x 4)) 2.0) (* 1.5 (pow x 2))) (* (cos x) (+ (cos x) 1.0)) (* (cos x) (+ (cos x) 1.0)) 9.261 * * [simplify]: iteration 0: 146 enodes 9.317 * * [simplify]: iteration 1: 412 enodes 9.518 * * [simplify]: iteration 2: 1427 enodes 10.326 * * [simplify]: iteration complete: 5003 enodes 10.326 * * [simplify]: Extracting #0: cost 75 inf + 0 10.327 * * [simplify]: Extracting #1: cost 664 inf + 2 10.336 * * [simplify]: Extracting #2: cost 1416 inf + 8503 10.353 * * [simplify]: Extracting #3: cost 1198 inf + 108406 10.404 * * [simplify]: Extracting #4: cost 270 inf + 378462 10.472 * * [simplify]: Extracting #5: cost 43 inf + 440800 10.540 * * [simplify]: Extracting #6: cost 6 inf + 444007 10.608 * * [simplify]: Extracting #7: cost 0 inf + 445405 10.677 * [simplify]: Simplified to: (exp (- (* (* 1.0 1.0) 1.0) (* (cos x) (* (cos x) (cos x))))) (log (- (* (* 1.0 1.0) 1.0) (* (cos x) (* (cos x) (cos x))))) (exp (- (* (* 1.0 1.0) 1.0) (* (cos x) (* (cos x) (cos x))))) (* (cbrt (- (* (* 1.0 1.0) 1.0) (* (cos x) (* (cos x) (cos x))))) (cbrt (- (* (* 1.0 1.0) 1.0) (* (cos x) (* (cos x) (cos x)))))) (cbrt (- (* (* 1.0 1.0) 1.0) (* (cos x) (* (cos x) (cos x))))) (* (* (- (* (* 1.0 1.0) 1.0) (* (cos x) (* (cos x) (cos x)))) (- (* (* 1.0 1.0) 1.0) (* (cos x) (* (cos x) (cos x))))) (- (* (* 1.0 1.0) 1.0) (* (cos x) (* (cos x) (cos x))))) (sqrt (- (* (* 1.0 1.0) 1.0) (* (cos x) (* (cos x) (cos x))))) (sqrt (- (* (* 1.0 1.0) 1.0) (* (cos x) (* (cos x) (cos x))))) (+ (* (cos x) (cos x)) (* 1.0 (+ 1.0 (cos x)))) (- 1.0 (cos x)) (- (* (* (* (* 1.0 1.0) (* 1.0 1.0)) (* 1.0 1.0)) (* (* 1.0 1.0) 1.0)) (* (* (* (* (cos x) (cos x)) (* (cos x) (cos x))) (* (cos x) (cos x))) (* (cos x) (* (cos x) (cos x))))) (+ (* (* (cos x) (* (cos x) (cos x))) (+ (* (* 1.0 1.0) 1.0) (* (cos x) (* (cos x) (cos x))))) (* (* (* 1.0 1.0) (* 1.0 1.0)) (* 1.0 1.0))) (* (- (* (cos x) (cos x))) (cos x)) (- (* (* (* 1.0 1.0) (* 1.0 1.0)) (* 1.0 1.0)) (* (* (* (cos x) (cos x)) (* (cos x) (cos x))) (* (cos x) (cos x)))) (+ (* (* 1.0 1.0) 1.0) (* (cos x) (* (cos x) (cos x)))) (+ (* (sqrt (cos x)) (cos x)) (* 1.0 (sqrt 1.0))) (- (* 1.0 (sqrt 1.0)) (* (sqrt (cos x)) (cos x))) (+ (* (sqrt (cos x)) (cos x)) (* 1.0 (sqrt 1.0))) (- (* 1.0 (sqrt 1.0)) (* (sqrt (cos x)) (cos x))) (+ (* 1.0 (sqrt 1.0)) (sqrt (* (cos x) (* (cos x) (cos x))))) (- (* 1.0 (sqrt 1.0)) (sqrt (* (cos x) (* (cos x) (cos x))))) (+ (pow (cos x) 3/2) (* 1.0 (sqrt 1.0))) (- (* 1.0 (sqrt 1.0)) (pow (cos x) 3/2)) (+ (* (sqrt (cos x)) (cos x)) (* 1.0 (sqrt 1.0))) (- (* 1.0 (sqrt 1.0)) (* (sqrt (cos x)) (cos x))) (+ (* (sqrt (cos x)) (cos x)) (* 1.0 (sqrt 1.0))) (- (* 1.0 (sqrt 1.0)) (* (sqrt (cos x)) (cos x))) (+ (* 1.0 (sqrt 1.0)) (sqrt (* (cos x) (* (cos x) (cos x))))) (- (* 1.0 (sqrt 1.0)) (sqrt (* (cos x) (* (cos x) (cos x))))) (+ (pow (cos x) 3/2) (* 1.0 (sqrt 1.0))) (- (* 1.0 (sqrt 1.0)) (pow (cos x) 3/2)) (+ (* (sqrt (cos x)) (cos x)) (sqrt (* (* 1.0 1.0) 1.0))) (- (sqrt (* (* 1.0 1.0) 1.0)) (* (sqrt (cos x)) (cos x))) (+ (* (sqrt (cos x)) (cos x)) (sqrt (* (* 1.0 1.0) 1.0))) (- (sqrt (* (* 1.0 1.0) 1.0)) (* (sqrt (cos x)) (cos x))) (+ (sqrt (* (* 1.0 1.0) 1.0)) (sqrt (* (cos x) (* (cos x) (cos x))))) (- (sqrt (* (* 1.0 1.0) 1.0)) (sqrt (* (cos x) (* (cos x) (cos x))))) (+ (sqrt (* (* 1.0 1.0) 1.0)) (pow (cos x) 3/2)) (- (sqrt (* (* 1.0 1.0) 1.0)) (pow (cos x) 3/2)) (+ (* (sqrt (cos x)) (cos x)) (pow 1.0 3/2)) (- (pow 1.0 3/2) (* (sqrt (cos x)) (cos x))) (+ (* (sqrt (cos x)) (cos x)) (pow 1.0 3/2)) (- (pow 1.0 3/2) (* (sqrt (cos x)) (cos x))) (+ (pow 1.0 3/2) (sqrt (* (cos x) (* (cos x) (cos x))))) (- (pow 1.0 3/2) (sqrt (* (cos x) (* (cos x) (cos x))))) (+ (pow 1.0 3/2) (pow (cos x) 3/2)) (- (pow 1.0 3/2) (pow (cos x) 3/2)) (- (* (* 1.0 1.0) 1.0) (* (cos x) (* (cos x) (cos x)))) (- (* (* 1.0 1.0) 1.0) (* (cos x) (* (cos x) (cos x)))) (- (* (* 1.0 1.0) 1.0) (* (cos x) (* (cos x) (cos x)))) (- (* (* 1.0 1.0) 1.0) (* (cos x) (* (cos x) (cos x)))) (- (* (* 1.0 1.0) 1.0) (* (cos x) (* (cos x) (cos x)))) (* (- (* (cos x) (cos x))) (cos x)) (* (log (cos x)) 3) (* (log (cos x)) 3) 3 (pow (cos x) (* (cbrt 3) (cbrt 3))) (pow (cos x) (sqrt 3)) (cos x) (* (cos x) (cos x)) (cos x) (* (sqrt (cos x)) (cos x)) (* (sqrt (cos x)) (cos x)) 1 (* (cos x) (* (cos x) (cos x))) (* (cos x) (cos x)) (* (log (cos x)) 3) (exp (* (cos x) (* (cos x) (cos x)))) (* (cos x) (cos x)) (cos x) (* (* (* (* (cos x) (cos x)) (* (cos x) (cos x))) (* (cos x) (cos x))) (* (cos x) (* (cos x) (cos x)))) (* (cos x) (cos x)) (cos x) (* (sqrt (cos x)) (cos x)) (* (sqrt (cos x)) (cos x)) 1 (* (cos x) (* (cos x) (cos x))) (* (cos x) (cos x)) (sqrt (* (cos x) (* (cos x) (cos x)))) (sqrt (* (cos x) (* (cos x) (cos x)))) (pow (cos x) 3/2) (pow (cos x) 3/2) (exp (+ (cos x) 1.0)) (log (+ (cos x) 1.0)) (exp (+ (cos x) 1.0)) (* (cbrt (+ (cos x) 1.0)) (cbrt (+ (cos x) 1.0))) (cbrt (+ (cos x) 1.0)) (* (* (+ (cos x) 1.0) (+ (cos x) 1.0)) (+ (cos x) 1.0)) (sqrt (+ (cos x) 1.0)) (sqrt (+ (cos x) 1.0)) (+ (* (* 1.0 1.0) 1.0) (* (cos x) (* (cos x) (cos x)))) (+ (* 1.0 1.0) (* (cos x) (- (cos x) 1.0))) (* (- 1.0 (cos x)) (+ (cos x) 1.0)) (- 1.0 (cos x)) (+ (cos x) 1.0) (* (cos x) (+ (cos x) 1.0)) (log (* (cos x) (+ (cos x) 1.0))) (log (* (cos x) (+ (cos x) 1.0))) (exp (* (cos x) (+ (cos x) 1.0))) (* (* (* (cos x) (+ (cos x) 1.0)) (* (cos x) (+ (cos x) 1.0))) (* (cos x) (+ (cos x) 1.0))) (* (cbrt (* (cos x) (+ (cos x) 1.0))) (cbrt (* (cos x) (+ (cos x) 1.0)))) (cbrt (* (cos x) (+ (cos x) 1.0))) (* (* (* (cos x) (+ (cos x) 1.0)) (* (cos x) (+ (cos x) 1.0))) (* (cos x) (+ (cos x) 1.0))) (sqrt (* (cos x) (+ (cos x) 1.0))) (sqrt (* (cos x) (+ (cos x) 1.0))) (* (sqrt (cos x)) (sqrt (+ (cos x) 1.0))) (* (sqrt (cos x)) (sqrt (+ (cos x) 1.0))) (* (cos x) 1.0) (* (cos x) (cos x)) (* (cos x) 1.0) (* (cos x) (cos x)) (* (* (cbrt (+ (cos x) 1.0)) (cbrt (+ (cos x) 1.0))) (cos x)) (* (cos x) (sqrt (+ (cos x) 1.0))) (cos x) (cos x) (* (cbrt (cos x)) (+ 1.0 (cos x))) (* (sqrt (cos x)) (+ 1.0 (cos x))) (* (cos x) (+ (cos x) 1.0)) (+ (* (* (cos x) (cos x)) (* (cos x) (cos x))) (* (cos x) (* (* 1.0 1.0) 1.0))) (* (* (cos x) (+ 1.0 (cos x))) (- 1.0 (cos x))) (+ (* (* (* x (* x x)) (* x (* x x))) 61/240) (+ (* (* (* x x) (* x x)) -7/8) (* (* 3/2 x) x))) (- 1.0 (* (cos x) (* (cos x) (cos x)))) (- 1.0 (* (cos x) (* (cos x) (cos x)))) (+ (+ (* -3/2 (* x x)) 1) (* (* (* x x) (* x x)) 7/8)) (* (cos x) (* (cos x) (cos x))) (* (cos x) (* (cos x) (cos x))) (+ (* (* 1/24 (* x x)) (* x x)) (- 2.0 (* 1/2 (* x x)))) (+ (cos x) 1.0) (+ (cos x) 1.0) (+ (- 2.0 (* x (* x 1.5))) (* (* 0.375 (* x x)) (* x x))) (* (cos x) (+ (cos x) 1.0)) (* (cos x) (+ (cos x) 1.0)) 10.687 * * * [progress]: adding candidates to table 11.076 * [progress]: [Phase 3 of 3] Extracting. 11.077 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # #) 11.080 * * * [regime-changes]: Trying 1 branch expressions: (x) 11.081 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # #) 11.190 * * * [regime]: Found split indices: #