19.391 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.063 * * * [progress]: [2/2] Setting up program. 0.065 * [progress]: [Phase 2 of 3] Improving. 0.066 * [simplify]: Simplifying: (/ (- 1.0 (cos x)) (* x x)) 0.066 * * [simplify]: Extracting # 0 : cost 0 0.066 * * [simplify]: Extracting # 1 : cost 0 0.066 * * [simplify]: Extracting # 2 : cost 0 0.066 * * [simplify]: Extracting # 3 : cost 0 0.066 * * [simplify]: Extracting # 4 : cost 0 0.066 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.067 * * [simplify]: Extracting # 0 : cost 0 0.067 * * [simplify]: Extracting # 1 : cost 0 0.067 * * [simplify]: Extracting # 2 : cost 0 0.067 * * [simplify]: iteration 1 : 13 enodes (cost 8 ) 0.070 * * [simplify]: Extracting # 0 : cost 0 0.070 * * [simplify]: Extracting # 1 : cost 0 0.070 * * [simplify]: Extracting # 2 : cost 0 0.070 * * [simplify]: iteration 2 : 21 enodes (cost 8 ) 0.073 * * [simplify]: Extracting # 0 : cost 0 0.073 * * [simplify]: Extracting # 1 : cost 0 0.073 * * [simplify]: Extracting # 2 : cost 0 0.073 * * [simplify]: iteration 3 : 26 enodes (cost 8 ) 0.078 * * [simplify]: Extracting # 0 : cost 0 0.078 * * [simplify]: iteration 4 : 28 enodes (cost 8 ) 0.082 * * [simplify]: Extracting # 0 : cost 0 0.083 * * [simplify]: iteration done: 28 enodes (cost 8 ) 0.083 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.083 * * [progress]: iteration 1 / 4 0.083 * * * [progress]: picking best candidate 0.085 * * * * [pick]: Picked # 0.085 * * * [progress]: localizing error 0.098 * * * [progress]: generating rewritten candidates 0.098 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.156 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.170 * * * [progress]: generating series expansions 0.170 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.176 * [backup-simplify]: Simplify (/ (- 1.0 (cos x)) (* x x)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.176 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.177 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.177 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.177 * [taylor]: Taking taylor expansion of 1.0 in x 0.177 * [backup-simplify]: Simplify 1.0 into 1.0 0.177 * [taylor]: Taking taylor expansion of (cos x) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 1 into 1 0.177 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 1 into 1 0.178 * [backup-simplify]: Simplify (- 1) into -1 0.179 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.179 * [backup-simplify]: Simplify (+ 0) into 0 0.180 * [backup-simplify]: Simplify (- 0) into 0 0.180 * [backup-simplify]: Simplify (+ 0 0) into 0 0.180 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.181 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.181 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.181 * [backup-simplify]: Simplify (* 1 1) into 1 0.182 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.182 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.182 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.182 * [taylor]: Taking taylor expansion of 1.0 in x 0.182 * [backup-simplify]: Simplify 1.0 into 1.0 0.182 * [taylor]: Taking taylor expansion of (cos x) in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 1 into 1 0.182 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 1 into 1 0.182 * [backup-simplify]: Simplify (- 1) into -1 0.182 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.183 * [backup-simplify]: Simplify (+ 0) into 0 0.183 * [backup-simplify]: Simplify (- 0) into 0 0.183 * [backup-simplify]: Simplify (+ 0 0) into 0 0.184 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.184 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.184 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.184 * [backup-simplify]: Simplify (* 1 1) into 1 0.185 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.185 * [backup-simplify]: Simplify 1/2 into 1/2 0.186 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.186 * [backup-simplify]: Simplify (- 0) into 0 0.186 * [backup-simplify]: Simplify (+ 0 0) into 0 0.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.187 * [backup-simplify]: Simplify 0 into 0 0.189 * [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 0.189 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.189 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.191 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 0.191 * [backup-simplify]: Simplify -1/24 into -1/24 0.192 * [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 0.192 * [backup-simplify]: Simplify (- 0) into 0 0.193 * [backup-simplify]: Simplify (+ 0 0) into 0 0.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.194 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 0.194 * [backup-simplify]: Simplify 0 into 0 0.197 * [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 0.197 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.198 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.199 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 0.199 * [backup-simplify]: Simplify 1/720 into 1/720 0.200 * [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))) 0.200 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (* (/ 1 x) (/ 1 x))) into (* (pow x 2) (- 1.0 (cos (/ 1 x)))) 0.200 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.200 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.201 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 1 into 1 0.201 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.201 * [taylor]: Taking taylor expansion of 1.0 in x 0.201 * [backup-simplify]: Simplify 1.0 into 1.0 0.201 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.201 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 1 into 1 0.201 * [backup-simplify]: Simplify (/ 1 1) into 1 0.201 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.201 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.201 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 1 into 1 0.201 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.201 * [taylor]: Taking taylor expansion of 1.0 in x 0.201 * [backup-simplify]: Simplify 1.0 into 1.0 0.201 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.201 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 1 into 1 0.202 * [backup-simplify]: Simplify (/ 1 1) into 1 0.202 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.202 * [backup-simplify]: Simplify (* 1 1) into 1 0.202 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.202 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.202 * [backup-simplify]: Simplify (* 1 (- 1.0 (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.202 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.203 * [backup-simplify]: Simplify (- 0) into 0 0.203 * [backup-simplify]: Simplify (+ 0 0) into 0 0.203 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1.0 (cos (/ 1 x))))) into 0 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify (- 0) into 0 0.204 * [backup-simplify]: Simplify (+ 0 0) into 0 0.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))) into 0 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify (- 0) into 0 0.206 * [backup-simplify]: Simplify (+ 0 0) into 0 0.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))) into 0 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify (- 0) into 0 0.208 * [backup-simplify]: Simplify (+ 0 0) into 0 0.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))) into 0 0.211 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify (- 0) into 0 0.212 * [backup-simplify]: Simplify (+ 0 0) into 0 0.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))))) into 0 0.215 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify (- 0) into 0 0.225 * [backup-simplify]: Simplify (+ 0 0) into 0 0.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))))) into 0 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.230 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) into (* (- 1.0 (cos (/ -1 x))) (pow x 2)) 0.230 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.230 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.230 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.230 * [taylor]: Taking taylor expansion of 1.0 in x 0.230 * [backup-simplify]: Simplify 1.0 into 1.0 0.230 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.230 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.230 * [taylor]: Taking taylor expansion of -1 in x 0.230 * [backup-simplify]: Simplify -1 into -1 0.230 * [taylor]: Taking taylor expansion of x in x 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 1 into 1 0.230 * [backup-simplify]: Simplify (/ -1 1) into -1 0.231 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.231 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 1 into 1 0.231 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.231 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.231 * [taylor]: Taking taylor expansion of 1.0 in x 0.231 * [backup-simplify]: Simplify 1.0 into 1.0 0.231 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.231 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.231 * [taylor]: Taking taylor expansion of -1 in x 0.231 * [backup-simplify]: Simplify -1 into -1 0.231 * [taylor]: Taking taylor expansion of x in x 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 1 into 1 0.231 * [backup-simplify]: Simplify (/ -1 1) into -1 0.231 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.231 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.231 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify 1 into 1 0.232 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.232 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.232 * [backup-simplify]: Simplify (* 1 1) into 1 0.232 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 x))) 1) into (- 1.0 (cos (/ -1 x))) 0.232 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 0.233 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.233 * [backup-simplify]: Simplify (- 0) into 0 0.234 * [backup-simplify]: Simplify (+ 0 0) into 0 0.234 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (* 0 1)) into 0 0.234 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.236 * [backup-simplify]: Simplify (- 0) into 0 0.236 * [backup-simplify]: Simplify (+ 0 0) into 0 0.237 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 1))) into 0 0.237 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.238 * [backup-simplify]: Simplify (- 0) into 0 0.238 * [backup-simplify]: Simplify (+ 0 0) into 0 0.239 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.239 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.241 * [backup-simplify]: Simplify (- 0) into 0 0.241 * [backup-simplify]: Simplify (+ 0 0) into 0 0.242 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.242 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.244 * [backup-simplify]: Simplify (- 0) into 0 0.244 * [backup-simplify]: Simplify (+ 0 0) into 0 0.246 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.246 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.247 * [backup-simplify]: Simplify (- 0) into 0 0.248 * [backup-simplify]: Simplify (+ 0 0) into 0 0.249 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.249 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.250 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.250 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 0.250 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.250 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.250 * [taylor]: Taking taylor expansion of 1.0 in x 0.250 * [backup-simplify]: Simplify 1.0 into 1.0 0.250 * [taylor]: Taking taylor expansion of (cos x) in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 1 into 1 0.250 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.250 * [taylor]: Taking taylor expansion of 1.0 in x 0.250 * [backup-simplify]: Simplify 1.0 into 1.0 0.250 * [taylor]: Taking taylor expansion of (cos x) in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 1 into 1 0.251 * [backup-simplify]: Simplify (- 1) into -1 0.251 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.251 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify (+ 0) into 0 0.252 * [backup-simplify]: Simplify (- 0) into 0 0.252 * [backup-simplify]: Simplify (+ 0 0) into 0 0.252 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.254 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.254 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.254 * [backup-simplify]: Simplify 1/2 into 1/2 0.255 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 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 0.259 * [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 0.260 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.260 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.260 * [backup-simplify]: Simplify -1/24 into -1/24 0.262 * [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 0.263 * [backup-simplify]: Simplify (- 0) into 0 0.263 * [backup-simplify]: Simplify (+ 0 0) into 0 0.263 * [backup-simplify]: Simplify 0 into 0 0.268 * [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 0.269 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.269 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.269 * [backup-simplify]: Simplify 1/720 into 1/720 0.270 * [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))) 0.270 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.270 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.270 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.270 * [taylor]: Taking taylor expansion of 1.0 in x 0.270 * [backup-simplify]: Simplify 1.0 into 1.0 0.270 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify 1 into 1 0.271 * [backup-simplify]: Simplify (/ 1 1) into 1 0.271 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.271 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.271 * [taylor]: Taking taylor expansion of 1.0 in x 0.271 * [backup-simplify]: Simplify 1.0 into 1.0 0.271 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.271 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.271 * [taylor]: Taking taylor expansion of x in x 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 1 into 1 0.271 * [backup-simplify]: Simplify (/ 1 1) into 1 0.271 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.272 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.272 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.272 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.272 * [backup-simplify]: Simplify (- 0) into 0 0.273 * [backup-simplify]: Simplify (+ 0 0) into 0 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify (- 0) into 0 0.273 * [backup-simplify]: Simplify (+ 0 0) into 0 0.273 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify (- 0) into 0 0.274 * [backup-simplify]: Simplify (+ 0 0) into 0 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify (- 0) into 0 0.275 * [backup-simplify]: Simplify (+ 0 0) into 0 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify (- 0) into 0 0.276 * [backup-simplify]: Simplify (+ 0 0) into 0 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify (- 0) into 0 0.276 * [backup-simplify]: Simplify (+ 0 0) into 0 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 0.277 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 0.277 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.277 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.277 * [taylor]: Taking taylor expansion of 1.0 in x 0.277 * [backup-simplify]: Simplify 1.0 into 1.0 0.277 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.277 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.277 * [taylor]: Taking taylor expansion of -1 in x 0.277 * [backup-simplify]: Simplify -1 into -1 0.277 * [taylor]: Taking taylor expansion of x in x 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify 1 into 1 0.277 * [backup-simplify]: Simplify (/ -1 1) into -1 0.277 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.277 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.277 * [taylor]: Taking taylor expansion of 1.0 in x 0.278 * [backup-simplify]: Simplify 1.0 into 1.0 0.278 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.278 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.278 * [taylor]: Taking taylor expansion of -1 in x 0.278 * [backup-simplify]: Simplify -1 into -1 0.278 * [taylor]: Taking taylor expansion of x in x 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify 1 into 1 0.278 * [backup-simplify]: Simplify (/ -1 1) into -1 0.278 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.278 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.279 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.279 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 0.279 * [backup-simplify]: Simplify (- 0) into 0 0.279 * [backup-simplify]: Simplify (+ 0 0) into 0 0.279 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify (- 0) into 0 0.280 * [backup-simplify]: Simplify (+ 0 0) into 0 0.280 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify (- 0) into 0 0.281 * [backup-simplify]: Simplify (+ 0 0) into 0 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify (- 0) into 0 0.282 * [backup-simplify]: Simplify (+ 0 0) into 0 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify (- 0) into 0 0.282 * [backup-simplify]: Simplify (+ 0 0) into 0 0.282 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify (- 0) into 0 0.283 * [backup-simplify]: Simplify (+ 0 0) into 0 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 0.283 * * * [progress]: simplifying candidates 0.285 * [simplify]: Simplifying: (expm1 (/ (- 1.0 (cos x)) (* x x))) (log1p (/ (- 1.0 (cos x)) (* x x))) (- (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))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma 1 1.0 (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma 1 1.0 (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma 1 1.0 (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (- (+ (* 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)) 0.288 * * [simplify]: Extracting # 0 : cost 0 0.288 * * [simplify]: Extracting # 1 : cost 0 0.288 * * [simplify]: Extracting # 2 : cost 0 0.289 * * [simplify]: Extracting # 3 : cost 0 0.289 * * [simplify]: Extracting # 4 : cost 0 0.289 * * [simplify]: Extracting # 5 : cost 0 0.290 * * [simplify]: Extracting # 6 : cost 0 0.290 * * [simplify]: Extracting # 7 : cost 0 0.290 * * [simplify]: Extracting # 8 : cost 0 0.290 * * [simplify]: iteration 0 : 116 enodes (cost 808 ) 0.344 * * [simplify]: Extracting # 0 : cost 0 0.345 * * [simplify]: Extracting # 1 : cost 0 0.345 * * [simplify]: Extracting # 2 : cost 0 0.346 * * [simplify]: Extracting # 3 : cost 0 0.346 * * [simplify]: Extracting # 4 : cost 0 0.347 * * [simplify]: iteration 1 : 269 enodes (cost 678 ) 0.510 * * [simplify]: Extracting # 0 : cost 0 0.511 * * [simplify]: Extracting # 1 : cost 0 0.513 * * [simplify]: Extracting # 2 : cost 0 0.514 * * [simplify]: Extracting # 3 : cost 0 0.515 * * [simplify]: Extracting # 4 : cost 0 0.516 * * [simplify]: iteration 2 : 747 enodes (cost 566 ) 1.224 * * [simplify]: Extracting # 0 : cost 0 1.228 * * [simplify]: Extracting # 1 : cost 0 1.235 * * [simplify]: Extracting # 2 : cost 0 1.237 * * [simplify]: Extracting # 3 : cost 0 1.240 * * [simplify]: Extracting # 4 : cost 0 1.243 * * [simplify]: iteration 3 : 2669 enodes (cost 526 ) 2.354 * * [simplify]: Extracting # 0 : cost 0 2.361 * * [simplify]: Extracting # 1 : cost 0 2.367 * * [simplify]: Extracting # 2 : cost 0 2.380 * * [simplify]: iteration done: 5001 enodes (cost 517 ) 2.380 * [simplify]: Simplified to: (expm1 (/ (- 1.0 (cos x)) (* x x))) (log1p (/ (- 1.0 (cos x)) (* x x))) (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))) (pow (/ (- 1.0 (cos x)) (* x x)) 3) (pow (/ (- 1.0 (cos x)) (* x x)) 3) (* (cbrt (/ (- 1.0 (cos x)) (* x x))) (cbrt (/ (- 1.0 (cos x)) (* x x)))) (cbrt (/ (- 1.0 (cos x)) (* x x))) (pow (/ (- 1.0 (cos x)) (* x x)) 3) (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) (fma 1.0 1.0 (* (cos x) (+ 1.0 (cos x))))) (* (* x x) (+ 1.0 (cos x))) (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (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))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (fma 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 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (fma (* x x) -1/24 (fma 1/720 (pow x 4) 1/2)) (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)) (fma 1/2 (* x x) (fma 1/720 (pow x 6) (* (pow x 4) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) 2.380 * * * [progress]: adding candidates to table 2.560 * * [progress]: iteration 2 / 4 2.560 * * * [progress]: picking best candidate 2.583 * * * * [pick]: Picked # 2.583 * * * [progress]: localizing error 2.593 * * * [progress]: generating rewritten candidates 2.593 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.593 * * * * [progress]: [ 2 / 2 ] rewriting at (2 3) 2.594 * * * [progress]: generating series expansions 2.594 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.594 * [backup-simplify]: Simplify (fma (* x x) -1/24 (fma 1/720 (pow x 4) 1/2)) into (fma (pow x 2) -1/24 (fma 1/720 (pow x 4) 1/2)) 2.594 * [approximate]: Taking taylor expansion of (fma (pow x 2) -1/24 (fma 1/720 (pow x 4) 1/2)) in (x) around 0 2.594 * [taylor]: Taking taylor expansion of (fma (pow x 2) -1/24 (fma 1/720 (pow x 4) 1/2)) in x 2.595 * [taylor]: Rewrote expression to (+ (* (pow x 2) -1/24) (fma 1/720 (pow x 4) 1/2)) 2.595 * [taylor]: Taking taylor expansion of (* (pow x 2) -1/24) in x 2.596 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.596 * [taylor]: Taking taylor expansion of x in x 2.596 * [backup-simplify]: Simplify 0 into 0 2.596 * [backup-simplify]: Simplify 1 into 1 2.596 * [taylor]: Taking taylor expansion of -1/24 in x 2.596 * [backup-simplify]: Simplify -1/24 into -1/24 2.596 * [taylor]: Taking taylor expansion of (fma 1/720 (pow x 4) 1/2) in x 2.596 * [taylor]: Rewrote expression to (+ (* 1/720 (pow x 4)) 1/2) 2.596 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 2.596 * [taylor]: Taking taylor expansion of 1/720 in x 2.596 * [backup-simplify]: Simplify 1/720 into 1/720 2.596 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.596 * [taylor]: Taking taylor expansion of x in x 2.596 * [backup-simplify]: Simplify 0 into 0 2.596 * [backup-simplify]: Simplify 1 into 1 2.596 * [taylor]: Taking taylor expansion of 1/2 in x 2.596 * [backup-simplify]: Simplify 1/2 into 1/2 2.596 * [taylor]: Taking taylor expansion of (fma (pow x 2) -1/24 (fma 1/720 (pow x 4) 1/2)) in x 2.596 * [taylor]: Rewrote expression to (+ (* (pow x 2) -1/24) (fma 1/720 (pow x 4) 1/2)) 2.596 * [taylor]: Taking taylor expansion of (* (pow x 2) -1/24) in x 2.596 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.596 * [taylor]: Taking taylor expansion of x in x 2.596 * [backup-simplify]: Simplify 0 into 0 2.596 * [backup-simplify]: Simplify 1 into 1 2.596 * [taylor]: Taking taylor expansion of -1/24 in x 2.596 * [backup-simplify]: Simplify -1/24 into -1/24 2.596 * [taylor]: Taking taylor expansion of (fma 1/720 (pow x 4) 1/2) in x 2.596 * [taylor]: Rewrote expression to (+ (* 1/720 (pow x 4)) 1/2) 2.596 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 2.596 * [taylor]: Taking taylor expansion of 1/720 in x 2.596 * [backup-simplify]: Simplify 1/720 into 1/720 2.596 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.596 * [taylor]: Taking taylor expansion of x in x 2.596 * [backup-simplify]: Simplify 0 into 0 2.596 * [backup-simplify]: Simplify 1 into 1 2.596 * [taylor]: Taking taylor expansion of 1/2 in x 2.596 * [backup-simplify]: Simplify 1/2 into 1/2 2.597 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.597 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.597 * [backup-simplify]: Simplify 1/2 into 1/2 2.597 * [backup-simplify]: Simplify (+ 0 0) into 0 2.598 * [backup-simplify]: Simplify (+ 0 0) into 0 2.598 * [backup-simplify]: Simplify 0 into 0 2.598 * [backup-simplify]: Simplify (* 1 1) into 1 2.598 * [backup-simplify]: Simplify (* 1 -1/24) into -1/24 2.598 * [backup-simplify]: Simplify (+ 0 0) into 0 2.599 * [backup-simplify]: Simplify (+ -1/24 0) into -1/24 2.599 * [backup-simplify]: Simplify -1/24 into -1/24 2.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.600 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 -1/24)) into 0 2.600 * [backup-simplify]: Simplify (+ 0 0) into 0 2.600 * [backup-simplify]: Simplify (+ 0 0) into 0 2.600 * [backup-simplify]: Simplify 0 into 0 2.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 -1/24))) into 0 2.602 * [backup-simplify]: Simplify (* 1 1) into 1 2.602 * [backup-simplify]: Simplify (* 1 1) into 1 2.602 * [backup-simplify]: Simplify (* 1/720 1) into 1/720 2.602 * [backup-simplify]: Simplify (+ 1/720 0) into 1/720 2.603 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 2.603 * [backup-simplify]: Simplify 1/720 into 1/720 2.603 * [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))) 2.603 * [backup-simplify]: Simplify (fma (* (/ 1 x) (/ 1 x)) -1/24 (fma 1/720 (pow (/ 1 x) 4) 1/2)) into (fma (/ 1 (pow x 2)) -1/24 (fma 1/720 (pow (/ 1 x) 4) 1/2)) 2.603 * [approximate]: Taking taylor expansion of (fma (/ 1 (pow x 2)) -1/24 (fma 1/720 (pow (/ 1 x) 4) 1/2)) in (x) around 0 2.603 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow x 2)) -1/24 (fma 1/720 (pow (/ 1 x) 4) 1/2)) in x 2.603 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow x 2)) -1/24) (fma 1/720 (pow (/ 1 x) 4) 1/2)) 2.603 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 2)) -1/24) in x 2.603 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.603 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.603 * [taylor]: Taking taylor expansion of x in x 2.603 * [backup-simplify]: Simplify 0 into 0 2.603 * [backup-simplify]: Simplify 1 into 1 2.604 * [backup-simplify]: Simplify (* 1 1) into 1 2.604 * [backup-simplify]: Simplify (/ 1 1) into 1 2.604 * [taylor]: Taking taylor expansion of -1/24 in x 2.604 * [backup-simplify]: Simplify -1/24 into -1/24 2.604 * [taylor]: Taking taylor expansion of (fma 1/720 (pow (/ 1 x) 4) 1/2) in x 2.604 * [taylor]: Rewrote expression to (+ (* 1/720 (pow (/ 1 x) 4)) 1/2) 2.604 * [taylor]: Taking taylor expansion of (* 1/720 (pow (/ 1 x) 4)) in x 2.604 * [taylor]: Taking taylor expansion of 1/720 in x 2.604 * [backup-simplify]: Simplify 1/720 into 1/720 2.604 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 4) in x 2.604 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.604 * [taylor]: Taking taylor expansion of x in x 2.604 * [backup-simplify]: Simplify 0 into 0 2.604 * [backup-simplify]: Simplify 1 into 1 2.604 * [backup-simplify]: Simplify (/ 1 1) into 1 2.604 * [taylor]: Taking taylor expansion of 1/2 in x 2.604 * [backup-simplify]: Simplify 1/2 into 1/2 2.604 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow x 2)) -1/24 (fma 1/720 (pow (/ 1 x) 4) 1/2)) in x 2.605 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow x 2)) -1/24) (fma 1/720 (pow (/ 1 x) 4) 1/2)) 2.605 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 2)) -1/24) in x 2.605 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.605 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.605 * [taylor]: Taking taylor expansion of x in x 2.605 * [backup-simplify]: Simplify 0 into 0 2.605 * [backup-simplify]: Simplify 1 into 1 2.605 * [backup-simplify]: Simplify (* 1 1) into 1 2.605 * [backup-simplify]: Simplify (/ 1 1) into 1 2.605 * [taylor]: Taking taylor expansion of -1/24 in x 2.605 * [backup-simplify]: Simplify -1/24 into -1/24 2.605 * [taylor]: Taking taylor expansion of (fma 1/720 (pow (/ 1 x) 4) 1/2) in x 2.605 * [taylor]: Rewrote expression to (+ (* 1/720 (pow (/ 1 x) 4)) 1/2) 2.605 * [taylor]: Taking taylor expansion of (* 1/720 (pow (/ 1 x) 4)) in x 2.605 * [taylor]: Taking taylor expansion of 1/720 in x 2.605 * [backup-simplify]: Simplify 1/720 into 1/720 2.605 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 4) in x 2.605 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.605 * [taylor]: Taking taylor expansion of x in x 2.605 * [backup-simplify]: Simplify 0 into 0 2.605 * [backup-simplify]: Simplify 1 into 1 2.606 * [backup-simplify]: Simplify (/ 1 1) into 1 2.606 * [taylor]: Taking taylor expansion of 1/2 in x 2.606 * [backup-simplify]: Simplify 1/2 into 1/2 2.606 * [backup-simplify]: Simplify (* 1 1) into 1 2.606 * [backup-simplify]: Simplify (* 1 1) into 1 2.606 * [backup-simplify]: Simplify (* 1/720 1) into 1/720 2.607 * [backup-simplify]: Simplify (+ 1/720 0) into 1/720 2.607 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 2.607 * [backup-simplify]: Simplify 1/720 into 1/720 2.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.609 * [backup-simplify]: Simplify (+ (* 1/720 0) (* 0 1)) into 0 2.609 * [backup-simplify]: Simplify (+ 0 0) into 0 2.609 * [backup-simplify]: Simplify (+ 0 0) into 0 2.609 * [backup-simplify]: Simplify 0 into 0 2.610 * [backup-simplify]: Simplify (* 1 -1/24) into -1/24 2.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.612 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (* 0 1))) into 0 2.612 * [backup-simplify]: Simplify (+ 0 0) into 0 2.612 * [backup-simplify]: Simplify (+ -1/24 0) into -1/24 2.612 * [backup-simplify]: Simplify -1/24 into -1/24 2.613 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.614 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 -1/24)) into 0 2.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.616 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.616 * [backup-simplify]: Simplify (+ 0 0) into 0 2.616 * [backup-simplify]: Simplify (+ 0 0) into 0 2.616 * [backup-simplify]: Simplify 0 into 0 2.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 -1/24))) into 0 2.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.621 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.621 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.621 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.621 * [backup-simplify]: Simplify 1/2 into 1/2 2.622 * [backup-simplify]: Simplify (+ 1/2 (+ (* -1/24 (pow (/ 1 (/ 1 x)) 2)) (* 1/720 (pow (/ 1 (/ 1 x)) 4)))) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 2.622 * [backup-simplify]: Simplify (fma (* (/ 1 (- x)) (/ 1 (- x))) -1/24 (fma 1/720 (pow (/ 1 (- x)) 4) 1/2)) into (fma (/ 1 (pow x 2)) -1/24 (fma 1/720 (pow (/ -1 x) 4) 1/2)) 2.622 * [approximate]: Taking taylor expansion of (fma (/ 1 (pow x 2)) -1/24 (fma 1/720 (pow (/ -1 x) 4) 1/2)) in (x) around 0 2.622 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow x 2)) -1/24 (fma 1/720 (pow (/ -1 x) 4) 1/2)) in x 2.622 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow x 2)) -1/24) (fma 1/720 (pow (/ -1 x) 4) 1/2)) 2.622 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 2)) -1/24) in x 2.622 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.622 * [taylor]: Taking taylor expansion of (pow x 2) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 2.623 * [taylor]: Taking taylor expansion of -1/24 in x 2.623 * [backup-simplify]: Simplify -1/24 into -1/24 2.623 * [taylor]: Taking taylor expansion of (fma 1/720 (pow (/ -1 x) 4) 1/2) in x 2.623 * [taylor]: Rewrote expression to (+ (* 1/720 (pow (/ -1 x) 4)) 1/2) 2.623 * [taylor]: Taking taylor expansion of (* 1/720 (pow (/ -1 x) 4)) in x 2.623 * [taylor]: Taking taylor expansion of 1/720 in x 2.623 * [backup-simplify]: Simplify 1/720 into 1/720 2.623 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 4) in x 2.623 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.623 * [taylor]: Taking taylor expansion of -1 in x 2.623 * [backup-simplify]: Simplify -1 into -1 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 1) into -1 2.623 * [taylor]: Taking taylor expansion of 1/2 in x 2.623 * [backup-simplify]: Simplify 1/2 into 1/2 2.623 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow x 2)) -1/24 (fma 1/720 (pow (/ -1 x) 4) 1/2)) in x 2.624 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow x 2)) -1/24) (fma 1/720 (pow (/ -1 x) 4) 1/2)) 2.624 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 2)) -1/24) in x 2.624 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.624 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.624 * [taylor]: Taking taylor expansion of x in x 2.624 * [backup-simplify]: Simplify 0 into 0 2.624 * [backup-simplify]: Simplify 1 into 1 2.624 * [backup-simplify]: Simplify (* 1 1) into 1 2.624 * [backup-simplify]: Simplify (/ 1 1) into 1 2.624 * [taylor]: Taking taylor expansion of -1/24 in x 2.624 * [backup-simplify]: Simplify -1/24 into -1/24 2.624 * [taylor]: Taking taylor expansion of (fma 1/720 (pow (/ -1 x) 4) 1/2) in x 2.624 * [taylor]: Rewrote expression to (+ (* 1/720 (pow (/ -1 x) 4)) 1/2) 2.624 * [taylor]: Taking taylor expansion of (* 1/720 (pow (/ -1 x) 4)) in x 2.624 * [taylor]: Taking taylor expansion of 1/720 in x 2.624 * [backup-simplify]: Simplify 1/720 into 1/720 2.624 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 4) in x 2.624 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.624 * [taylor]: Taking taylor expansion of -1 in x 2.624 * [backup-simplify]: Simplify -1 into -1 2.624 * [taylor]: Taking taylor expansion of x in x 2.624 * [backup-simplify]: Simplify 0 into 0 2.624 * [backup-simplify]: Simplify 1 into 1 2.625 * [backup-simplify]: Simplify (/ -1 1) into -1 2.625 * [taylor]: Taking taylor expansion of 1/2 in x 2.625 * [backup-simplify]: Simplify 1/2 into 1/2 2.625 * [backup-simplify]: Simplify (* -1 -1) into 1 2.625 * [backup-simplify]: Simplify (* 1 1) into 1 2.626 * [backup-simplify]: Simplify (* 1/720 1) into 1/720 2.626 * [backup-simplify]: Simplify (+ 1/720 0) into 1/720 2.626 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 2.626 * [backup-simplify]: Simplify 1/720 into 1/720 2.627 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.627 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.628 * [backup-simplify]: Simplify (+ (* 1/720 0) (* 0 1)) into 0 2.628 * [backup-simplify]: Simplify (+ 0 0) into 0 2.628 * [backup-simplify]: Simplify (+ 0 0) into 0 2.628 * [backup-simplify]: Simplify 0 into 0 2.629 * [backup-simplify]: Simplify (* 1 -1/24) into -1/24 2.629 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.630 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 2.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.632 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (* 0 1))) into 0 2.632 * [backup-simplify]: Simplify (+ 0 0) into 0 2.632 * [backup-simplify]: Simplify (+ -1/24 0) into -1/24 2.632 * [backup-simplify]: Simplify -1/24 into -1/24 2.633 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.635 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 -1/24)) into 0 2.636 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.637 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 2.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.639 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.649 * [backup-simplify]: Simplify (+ 0 0) into 0 2.650 * [backup-simplify]: Simplify (+ 0 0) into 0 2.650 * [backup-simplify]: Simplify 0 into 0 2.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 -1/24))) into 0 2.654 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.655 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 2.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.658 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.658 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.659 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.659 * [backup-simplify]: Simplify 1/2 into 1/2 2.660 * [backup-simplify]: Simplify (+ 1/2 (+ (* -1/24 (pow (/ 1 (/ 1 (- x))) 2)) (* 1/720 (pow (/ 1 (/ 1 (- x))) 4)))) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 2.660 * * * * [progress]: [ 2 / 2 ] generating series at (2 3) 2.660 * [backup-simplify]: Simplify (fma 1/720 (pow x 4) 1/2) into (fma 1/720 (pow x 4) 1/2) 2.660 * [approximate]: Taking taylor expansion of (fma 1/720 (pow x 4) 1/2) in (x) around 0 2.660 * [taylor]: Taking taylor expansion of (fma 1/720 (pow x 4) 1/2) in x 2.661 * [taylor]: Rewrote expression to (+ (* 1/720 (pow x 4)) 1/2) 2.661 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 2.661 * [taylor]: Taking taylor expansion of 1/720 in x 2.661 * [backup-simplify]: Simplify 1/720 into 1/720 2.661 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.661 * [taylor]: Taking taylor expansion of x in x 2.661 * [backup-simplify]: Simplify 0 into 0 2.662 * [backup-simplify]: Simplify 1 into 1 2.662 * [taylor]: Taking taylor expansion of 1/2 in x 2.662 * [backup-simplify]: Simplify 1/2 into 1/2 2.662 * [taylor]: Taking taylor expansion of (fma 1/720 (pow x 4) 1/2) in x 2.662 * [taylor]: Rewrote expression to (+ (* 1/720 (pow x 4)) 1/2) 2.662 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 2.662 * [taylor]: Taking taylor expansion of 1/720 in x 2.662 * [backup-simplify]: Simplify 1/720 into 1/720 2.662 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.662 * [taylor]: Taking taylor expansion of x in x 2.662 * [backup-simplify]: Simplify 0 into 0 2.662 * [backup-simplify]: Simplify 1 into 1 2.662 * [taylor]: Taking taylor expansion of 1/2 in x 2.662 * [backup-simplify]: Simplify 1/2 into 1/2 2.663 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.663 * [backup-simplify]: Simplify 1/2 into 1/2 2.663 * [backup-simplify]: Simplify (+ 0 0) into 0 2.663 * [backup-simplify]: Simplify 0 into 0 2.664 * [backup-simplify]: Simplify (+ 0 0) into 0 2.664 * [backup-simplify]: Simplify 0 into 0 2.664 * [backup-simplify]: Simplify (+ 0 0) into 0 2.664 * [backup-simplify]: Simplify 0 into 0 2.665 * [backup-simplify]: Simplify (* 1 1) into 1 2.665 * [backup-simplify]: Simplify (* 1 1) into 1 2.666 * [backup-simplify]: Simplify (* 1/720 1) into 1/720 2.666 * [backup-simplify]: Simplify (+ 1/720 0) into 1/720 2.666 * [backup-simplify]: Simplify 1/720 into 1/720 2.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.668 * [backup-simplify]: Simplify (+ (* 1/720 0) (* 0 1)) into 0 2.668 * [backup-simplify]: Simplify (+ 0 0) into 0 2.668 * [backup-simplify]: Simplify 0 into 0 2.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.672 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (* 0 1))) into 0 2.672 * [backup-simplify]: Simplify (+ 0 0) into 0 2.672 * [backup-simplify]: Simplify 0 into 0 2.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.675 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.676 * [backup-simplify]: Simplify (+ 0 0) into 0 2.676 * [backup-simplify]: Simplify 0 into 0 2.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.680 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.680 * [backup-simplify]: Simplify (+ 0 0) into 0 2.680 * [backup-simplify]: Simplify 0 into 0 2.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.685 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.685 * [backup-simplify]: Simplify (+ 0 0) into 0 2.685 * [backup-simplify]: Simplify 0 into 0 2.687 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.688 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.690 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.690 * [backup-simplify]: Simplify (+ 0 0) into 0 2.690 * [backup-simplify]: Simplify 0 into 0 2.691 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) 1/2) into (+ (* 1/720 (pow x 4)) 1/2) 2.691 * [backup-simplify]: Simplify (fma 1/720 (pow (/ 1 x) 4) 1/2) into (fma 1/720 (pow (/ 1 x) 4) 1/2) 2.691 * [approximate]: Taking taylor expansion of (fma 1/720 (pow (/ 1 x) 4) 1/2) in (x) around 0 2.691 * [taylor]: Taking taylor expansion of (fma 1/720 (pow (/ 1 x) 4) 1/2) in x 2.691 * [taylor]: Rewrote expression to (+ (* 1/720 (pow (/ 1 x) 4)) 1/2) 2.691 * [taylor]: Taking taylor expansion of (* 1/720 (pow (/ 1 x) 4)) in x 2.691 * [taylor]: Taking taylor expansion of 1/720 in x 2.691 * [backup-simplify]: Simplify 1/720 into 1/720 2.691 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 4) in x 2.691 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.691 * [taylor]: Taking taylor expansion of x in x 2.691 * [backup-simplify]: Simplify 0 into 0 2.691 * [backup-simplify]: Simplify 1 into 1 2.692 * [backup-simplify]: Simplify (/ 1 1) into 1 2.692 * [taylor]: Taking taylor expansion of 1/2 in x 2.692 * [backup-simplify]: Simplify 1/2 into 1/2 2.692 * [taylor]: Taking taylor expansion of (fma 1/720 (pow (/ 1 x) 4) 1/2) in x 2.692 * [taylor]: Rewrote expression to (+ (* 1/720 (pow (/ 1 x) 4)) 1/2) 2.692 * [taylor]: Taking taylor expansion of (* 1/720 (pow (/ 1 x) 4)) in x 2.692 * [taylor]: Taking taylor expansion of 1/720 in x 2.692 * [backup-simplify]: Simplify 1/720 into 1/720 2.692 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 4) in x 2.692 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.692 * [taylor]: Taking taylor expansion of x in x 2.692 * [backup-simplify]: Simplify 0 into 0 2.692 * [backup-simplify]: Simplify 1 into 1 2.693 * [backup-simplify]: Simplify (/ 1 1) into 1 2.693 * [taylor]: Taking taylor expansion of 1/2 in x 2.693 * [backup-simplify]: Simplify 1/2 into 1/2 2.693 * [backup-simplify]: Simplify (* 1 1) into 1 2.693 * [backup-simplify]: Simplify (* 1 1) into 1 2.694 * [backup-simplify]: Simplify (* 1/720 1) into 1/720 2.694 * [backup-simplify]: Simplify (+ 1/720 0) into 1/720 2.694 * [backup-simplify]: Simplify 1/720 into 1/720 2.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.696 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.696 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.697 * [backup-simplify]: Simplify (+ (* 1/720 0) (* 0 1)) into 0 2.697 * [backup-simplify]: Simplify (+ 0 0) into 0 2.697 * [backup-simplify]: Simplify 0 into 0 2.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.701 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (* 0 1))) into 0 2.701 * [backup-simplify]: Simplify (+ 0 0) into 0 2.701 * [backup-simplify]: Simplify 0 into 0 2.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.705 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.706 * [backup-simplify]: Simplify (+ 0 0) into 0 2.706 * [backup-simplify]: Simplify 0 into 0 2.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.710 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.711 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.711 * [backup-simplify]: Simplify 1/2 into 1/2 2.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.715 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.716 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.716 * [backup-simplify]: Simplify (+ 0 0) into 0 2.716 * [backup-simplify]: Simplify 0 into 0 2.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.719 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.722 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.723 * [backup-simplify]: Simplify (+ 0 0) into 0 2.723 * [backup-simplify]: Simplify 0 into 0 2.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.729 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.730 * [backup-simplify]: Simplify (+ 0 0) into 0 2.730 * [backup-simplify]: Simplify 0 into 0 2.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 2.734 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 2.735 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 2.736 * [backup-simplify]: Simplify (+ 0 0) into 0 2.736 * [backup-simplify]: Simplify 0 into 0 2.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))))) into 0 2.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))))) into 0 2.740 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))))) into 0 2.740 * [backup-simplify]: Simplify (+ 0 0) into 0 2.740 * [backup-simplify]: Simplify 0 into 0 2.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))))) into 0 2.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))))) into 0 2.745 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))))) into 0 2.745 * [backup-simplify]: Simplify (+ 0 0) into 0 2.745 * [backup-simplify]: Simplify 0 into 0 2.745 * [backup-simplify]: Simplify (+ 1/2 (* 1/720 (pow (/ 1 (/ 1 x)) 4))) into (+ (* 1/720 (pow x 4)) 1/2) 2.745 * [backup-simplify]: Simplify (fma 1/720 (pow (/ 1 (- x)) 4) 1/2) into (fma 1/720 (pow (/ -1 x) 4) 1/2) 2.745 * [approximate]: Taking taylor expansion of (fma 1/720 (pow (/ -1 x) 4) 1/2) in (x) around 0 2.745 * [taylor]: Taking taylor expansion of (fma 1/720 (pow (/ -1 x) 4) 1/2) in x 2.746 * [taylor]: Rewrote expression to (+ (* 1/720 (pow (/ -1 x) 4)) 1/2) 2.746 * [taylor]: Taking taylor expansion of (* 1/720 (pow (/ -1 x) 4)) in x 2.746 * [taylor]: Taking taylor expansion of 1/720 in x 2.746 * [backup-simplify]: Simplify 1/720 into 1/720 2.746 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 4) in x 2.746 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.746 * [taylor]: Taking taylor expansion of -1 in x 2.746 * [backup-simplify]: Simplify -1 into -1 2.746 * [taylor]: Taking taylor expansion of x in x 2.746 * [backup-simplify]: Simplify 0 into 0 2.746 * [backup-simplify]: Simplify 1 into 1 2.746 * [backup-simplify]: Simplify (/ -1 1) into -1 2.746 * [taylor]: Taking taylor expansion of 1/2 in x 2.746 * [backup-simplify]: Simplify 1/2 into 1/2 2.746 * [taylor]: Taking taylor expansion of (fma 1/720 (pow (/ -1 x) 4) 1/2) in x 2.746 * [taylor]: Rewrote expression to (+ (* 1/720 (pow (/ -1 x) 4)) 1/2) 2.746 * [taylor]: Taking taylor expansion of (* 1/720 (pow (/ -1 x) 4)) in x 2.746 * [taylor]: Taking taylor expansion of 1/720 in x 2.746 * [backup-simplify]: Simplify 1/720 into 1/720 2.746 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 4) in x 2.746 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.746 * [taylor]: Taking taylor expansion of -1 in x 2.746 * [backup-simplify]: Simplify -1 into -1 2.746 * [taylor]: Taking taylor expansion of x in x 2.746 * [backup-simplify]: Simplify 0 into 0 2.746 * [backup-simplify]: Simplify 1 into 1 2.747 * [backup-simplify]: Simplify (/ -1 1) into -1 2.747 * [taylor]: Taking taylor expansion of 1/2 in x 2.747 * [backup-simplify]: Simplify 1/2 into 1/2 2.747 * [backup-simplify]: Simplify (* -1 -1) into 1 2.747 * [backup-simplify]: Simplify (* 1 1) into 1 2.747 * [backup-simplify]: Simplify (* 1/720 1) into 1/720 2.748 * [backup-simplify]: Simplify (+ 1/720 0) into 1/720 2.748 * [backup-simplify]: Simplify 1/720 into 1/720 2.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.749 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.749 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.749 * [backup-simplify]: Simplify (+ (* 1/720 0) (* 0 1)) into 0 2.750 * [backup-simplify]: Simplify (+ 0 0) into 0 2.750 * [backup-simplify]: Simplify 0 into 0 2.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.751 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 2.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.752 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (* 0 1))) into 0 2.752 * [backup-simplify]: Simplify (+ 0 0) into 0 2.752 * [backup-simplify]: Simplify 0 into 0 2.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.753 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 2.754 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.755 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.755 * [backup-simplify]: Simplify (+ 0 0) into 0 2.755 * [backup-simplify]: Simplify 0 into 0 2.755 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.756 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 2.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.757 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.758 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.758 * [backup-simplify]: Simplify 1/2 into 1/2 2.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.759 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 2.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.761 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.761 * [backup-simplify]: Simplify (+ 0 0) into 0 2.761 * [backup-simplify]: Simplify 0 into 0 2.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.763 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 2.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.765 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.765 * [backup-simplify]: Simplify (+ 0 0) into 0 2.765 * [backup-simplify]: Simplify 0 into 0 2.765 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.767 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))) into 0 2.768 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.770 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.770 * [backup-simplify]: Simplify (+ 0 0) into 0 2.770 * [backup-simplify]: Simplify 0 into 0 2.771 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.773 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))))) into 0 2.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 2.784 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 2.784 * [backup-simplify]: Simplify (+ 0 0) into 0 2.784 * [backup-simplify]: Simplify 0 into 0 2.785 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.787 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))))) into 0 2.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))))) into 0 2.791 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))))) into 0 2.791 * [backup-simplify]: Simplify (+ 0 0) into 0 2.791 * [backup-simplify]: Simplify 0 into 0 2.792 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.794 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))))))) into 0 2.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))))) into 0 2.797 * [backup-simplify]: Simplify (+ (* 1/720 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))))) into 0 2.797 * [backup-simplify]: Simplify (+ 0 0) into 0 2.797 * [backup-simplify]: Simplify 0 into 0 2.797 * [backup-simplify]: Simplify (+ 1/2 (* 1/720 (pow (/ 1 (/ 1 (- x))) 4))) into (+ (* 1/720 (pow x 4)) 1/2) 2.797 * * * [progress]: simplifying candidates 2.798 * [simplify]: Simplifying: (expm1 (fma (* x x) -1/24 (fma 1/720 (pow x 4) 1/2))) (log1p (fma (* x x) -1/24 (fma 1/720 (pow x 4) 1/2))) (* (* x x) -1/24) (log (fma (* x x) -1/24 (fma 1/720 (pow x 4) 1/2))) (exp (fma (* x x) -1/24 (fma 1/720 (pow x 4) 1/2))) (* (cbrt (fma (* x x) -1/24 (fma 1/720 (pow x 4) 1/2))) (cbrt (fma (* x x) -1/24 (fma 1/720 (pow x 4) 1/2)))) (cbrt (fma (* x x) -1/24 (fma 1/720 (pow x 4) 1/2))) (* (* (fma (* x x) -1/24 (fma 1/720 (pow x 4) 1/2)) (fma (* x x) -1/24 (fma 1/720 (pow x 4) 1/2))) (fma (* x x) -1/24 (fma 1/720 (pow x 4) 1/2))) (sqrt (fma (* x x) -1/24 (fma 1/720 (pow x 4) 1/2))) (sqrt (fma (* x x) -1/24 (fma 1/720 (pow x 4) 1/2))) (expm1 (fma 1/720 (pow x 4) 1/2)) (log1p (fma 1/720 (pow x 4) 1/2)) (* 1/720 (pow x 4)) (log (fma 1/720 (pow x 4) 1/2)) (exp (fma 1/720 (pow x 4) 1/2)) (* (cbrt (fma 1/720 (pow x 4) 1/2)) (cbrt (fma 1/720 (pow x 4) 1/2))) (cbrt (fma 1/720 (pow x 4) 1/2)) (* (* (fma 1/720 (pow x 4) 1/2) (fma 1/720 (pow x 4) 1/2)) (fma 1/720 (pow x 4) 1/2)) (sqrt (fma 1/720 (pow x 4) 1/2)) (sqrt (fma 1/720 (pow x 4) 1/2)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (+ (* 1/720 (pow x 4)) 1/2) (+ (* 1/720 (pow x 4)) 1/2) (+ (* 1/720 (pow x 4)) 1/2) 2.798 * * [simplify]: Extracting # 0 : cost 0 2.798 * * [simplify]: Extracting # 1 : cost 0 2.798 * * [simplify]: Extracting # 2 : cost 0 2.798 * * [simplify]: Extracting # 3 : cost 0 2.798 * * [simplify]: Extracting # 4 : cost 0 2.799 * * [simplify]: Extracting # 5 : cost 0 2.799 * * [simplify]: iteration 0 : 35 enodes (cost 298 ) 2.805 * * [simplify]: Extracting # 0 : cost 0 2.805 * * [simplify]: Extracting # 1 : cost 0 2.805 * * [simplify]: Extracting # 2 : cost 0 2.805 * * [simplify]: Extracting # 3 : cost 0 2.805 * * [simplify]: Extracting # 4 : cost 0 2.805 * * [simplify]: iteration 1 : 55 enodes (cost 292 ) 2.822 * * [simplify]: Extracting # 0 : cost 0 2.822 * * [simplify]: Extracting # 1 : cost 0 2.822 * * [simplify]: Extracting # 2 : cost 0 2.822 * * [simplify]: Extracting # 3 : cost 0 2.822 * * [simplify]: iteration 2 : 140 enodes (cost 255 ) 2.906 * * [simplify]: Extracting # 0 : cost 0 2.907 * * [simplify]: Extracting # 1 : cost 0 2.907 * * [simplify]: Extracting # 2 : cost 0 2.908 * * [simplify]: Extracting # 3 : cost 0 2.908 * * [simplify]: iteration 3 : 556 enodes (cost 255 ) 3.819 * * [simplify]: Extracting # 0 : cost 0 3.826 * * [simplify]: Extracting # 1 : cost 0 3.831 * * [simplify]: Extracting # 2 : cost 0 3.834 * * [simplify]: Extracting # 3 : cost 0 3.836 * * [simplify]: Extracting # 4 : cost 0 3.839 * * [simplify]: Extracting # 5 : cost 0 3.842 * * [simplify]: iteration 4 : 3220 enodes (cost 255 ) 5.103 * * [simplify]: Extracting # 0 : cost 0 5.108 * * [simplify]: Extracting # 1 : cost 0 5.118 * * [simplify]: Extracting # 2 : cost 0 5.123 * * [simplify]: iteration done: 5000 enodes (cost 255 ) 5.123 * [simplify]: Simplified to: (expm1 (fma (* x x) -1/24 (fma 1/720 (pow x 4) 1/2))) (log1p (fma (* x x) -1/24 (fma 1/720 (pow x 4) 1/2))) (* (* x x) -1/24) (log (fma (* x x) -1/24 (fma 1/720 (pow x 4) 1/2))) (exp (fma (* x x) -1/24 (fma 1/720 (pow x 4) 1/2))) (* (cbrt (fma (* x x) -1/24 (fma 1/720 (pow x 4) 1/2))) (cbrt (fma (* x x) -1/24 (fma 1/720 (pow x 4) 1/2)))) (cbrt (fma (* x x) -1/24 (fma 1/720 (pow x 4) 1/2))) (pow (fma (* x x) -1/24 (fma 1/720 (pow x 4) 1/2)) 3) (sqrt (fma (* x x) -1/24 (fma 1/720 (pow x 4) 1/2))) (sqrt (fma (* x x) -1/24 (fma 1/720 (pow x 4) 1/2))) (expm1 (fma 1/720 (pow x 4) 1/2)) (log1p (fma 1/720 (pow x 4) 1/2)) (* 1/720 (pow x 4)) (log (fma 1/720 (pow x 4) 1/2)) (exp (fma 1/720 (pow x 4) 1/2)) (* (cbrt (fma 1/720 (pow x 4) 1/2)) (cbrt (fma 1/720 (pow x 4) 1/2))) (cbrt (fma 1/720 (pow x 4) 1/2)) (pow (fma 1/720 (pow x 4) 1/2) 3) (sqrt (fma 1/720 (pow x 4) 1/2)) (sqrt (fma 1/720 (pow x 4) 1/2)) (fma (* x x) -1/24 (fma 1/720 (pow x 4) 1/2)) (fma (* x x) -1/24 (fma 1/720 (pow x 4) 1/2)) (fma (* x x) -1/24 (fma 1/720 (pow x 4) 1/2)) (fma 1/720 (pow x 4) 1/2) (fma 1/720 (pow x 4) 1/2) (fma 1/720 (pow x 4) 1/2) 5.123 * * * [progress]: adding candidates to table 5.192 * * [progress]: iteration 3 / 4 5.193 * * * [progress]: picking best candidate 5.214 * * * * [pick]: Picked # 5.214 * * * [progress]: localizing error 5.225 * * * [progress]: generating rewritten candidates 5.225 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 5.232 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 5.240 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 5.308 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 5.340 * * * [progress]: generating series expansions 5.340 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 5.340 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 5.340 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 5.340 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.340 * [taylor]: Taking taylor expansion of 1.0 in x 5.340 * [backup-simplify]: Simplify 1.0 into 1.0 5.340 * [taylor]: Taking taylor expansion of (cos x) in x 5.340 * [taylor]: Taking taylor expansion of x in x 5.340 * [backup-simplify]: Simplify 0 into 0 5.340 * [backup-simplify]: Simplify 1 into 1 5.340 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.340 * [taylor]: Taking taylor expansion of 1.0 in x 5.340 * [backup-simplify]: Simplify 1.0 into 1.0 5.340 * [taylor]: Taking taylor expansion of (cos x) in x 5.340 * [taylor]: Taking taylor expansion of x in x 5.340 * [backup-simplify]: Simplify 0 into 0 5.340 * [backup-simplify]: Simplify 1 into 1 5.341 * [backup-simplify]: Simplify (- 1) into -1 5.341 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 5.341 * [backup-simplify]: Simplify 0 into 0 5.341 * [backup-simplify]: Simplify (+ 0) into 0 5.341 * [backup-simplify]: Simplify (- 0) into 0 5.342 * [backup-simplify]: Simplify (+ 0 0) into 0 5.342 * [backup-simplify]: Simplify 0 into 0 5.342 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 5.343 * [backup-simplify]: Simplify (- -1/2) into 1/2 5.343 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.343 * [backup-simplify]: Simplify 1/2 into 1/2 5.344 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.344 * [backup-simplify]: Simplify (- 0) into 0 5.344 * [backup-simplify]: Simplify (+ 0 0) into 0 5.344 * [backup-simplify]: Simplify 0 into 0 5.346 * [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 5.346 * [backup-simplify]: Simplify (- 1/24) into -1/24 5.346 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 5.346 * [backup-simplify]: Simplify -1/24 into -1/24 5.348 * [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 5.348 * [backup-simplify]: Simplify (- 0) into 0 5.348 * [backup-simplify]: Simplify (+ 0 0) into 0 5.348 * [backup-simplify]: Simplify 0 into 0 5.351 * [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 5.351 * [backup-simplify]: Simplify (- -1/720) into 1/720 5.351 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 5.351 * [backup-simplify]: Simplify 1/720 into 1/720 5.352 * [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))) 5.352 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 5.352 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 5.352 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.352 * [taylor]: Taking taylor expansion of 1.0 in x 5.352 * [backup-simplify]: Simplify 1.0 into 1.0 5.352 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.352 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.352 * [taylor]: Taking taylor expansion of x in x 5.352 * [backup-simplify]: Simplify 0 into 0 5.352 * [backup-simplify]: Simplify 1 into 1 5.352 * [backup-simplify]: Simplify (/ 1 1) into 1 5.352 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 5.352 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.352 * [taylor]: Taking taylor expansion of 1.0 in x 5.352 * [backup-simplify]: Simplify 1.0 into 1.0 5.352 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.352 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.353 * [taylor]: Taking taylor expansion of x in x 5.353 * [backup-simplify]: Simplify 0 into 0 5.353 * [backup-simplify]: Simplify 1 into 1 5.353 * [backup-simplify]: Simplify (/ 1 1) into 1 5.353 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 5.353 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 5.353 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 5.353 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 5.353 * [backup-simplify]: Simplify (- 0) into 0 5.354 * [backup-simplify]: Simplify (+ 0 0) into 0 5.354 * [backup-simplify]: Simplify 0 into 0 5.354 * [backup-simplify]: Simplify (- 0) into 0 5.354 * [backup-simplify]: Simplify (+ 0 0) into 0 5.354 * [backup-simplify]: Simplify 0 into 0 5.354 * [backup-simplify]: Simplify (- 0) into 0 5.354 * [backup-simplify]: Simplify (+ 0 0) into 0 5.355 * [backup-simplify]: Simplify 0 into 0 5.355 * [backup-simplify]: Simplify (- 0) into 0 5.355 * [backup-simplify]: Simplify (+ 0 0) into 0 5.355 * [backup-simplify]: Simplify 0 into 0 5.355 * [backup-simplify]: Simplify (- 0) into 0 5.355 * [backup-simplify]: Simplify (+ 0 0) into 0 5.355 * [backup-simplify]: Simplify 0 into 0 5.356 * [backup-simplify]: Simplify (- 0) into 0 5.356 * [backup-simplify]: Simplify (+ 0 0) into 0 5.356 * [backup-simplify]: Simplify 0 into 0 5.356 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 5.356 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 5.356 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 5.356 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.356 * [taylor]: Taking taylor expansion of 1.0 in x 5.356 * [backup-simplify]: Simplify 1.0 into 1.0 5.356 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.356 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.356 * [taylor]: Taking taylor expansion of -1 in x 5.356 * [backup-simplify]: Simplify -1 into -1 5.356 * [taylor]: Taking taylor expansion of x in x 5.356 * [backup-simplify]: Simplify 0 into 0 5.356 * [backup-simplify]: Simplify 1 into 1 5.357 * [backup-simplify]: Simplify (/ -1 1) into -1 5.357 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 5.357 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.357 * [taylor]: Taking taylor expansion of 1.0 in x 5.357 * [backup-simplify]: Simplify 1.0 into 1.0 5.357 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.357 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.357 * [taylor]: Taking taylor expansion of -1 in x 5.357 * [backup-simplify]: Simplify -1 into -1 5.357 * [taylor]: Taking taylor expansion of x in x 5.357 * [backup-simplify]: Simplify 0 into 0 5.357 * [backup-simplify]: Simplify 1 into 1 5.357 * [backup-simplify]: Simplify (/ -1 1) into -1 5.357 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 5.357 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 5.357 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 5.357 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 5.358 * [backup-simplify]: Simplify (- 0) into 0 5.358 * [backup-simplify]: Simplify (+ 0 0) into 0 5.358 * [backup-simplify]: Simplify 0 into 0 5.358 * [backup-simplify]: Simplify (- 0) into 0 5.358 * [backup-simplify]: Simplify (+ 0 0) into 0 5.358 * [backup-simplify]: Simplify 0 into 0 5.359 * [backup-simplify]: Simplify (- 0) into 0 5.359 * [backup-simplify]: Simplify (+ 0 0) into 0 5.359 * [backup-simplify]: Simplify 0 into 0 5.359 * [backup-simplify]: Simplify (- 0) into 0 5.359 * [backup-simplify]: Simplify (+ 0 0) into 0 5.359 * [backup-simplify]: Simplify 0 into 0 5.360 * [backup-simplify]: Simplify (- 0) into 0 5.360 * [backup-simplify]: Simplify (+ 0 0) into 0 5.360 * [backup-simplify]: Simplify 0 into 0 5.360 * [backup-simplify]: Simplify (- 0) into 0 5.360 * [backup-simplify]: Simplify (+ 0 0) into 0 5.360 * [backup-simplify]: Simplify 0 into 0 5.360 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 5.360 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 5.360 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 5.360 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 5.360 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.361 * [taylor]: Taking taylor expansion of 1.0 in x 5.361 * [backup-simplify]: Simplify 1.0 into 1.0 5.361 * [taylor]: Taking taylor expansion of (cos x) in x 5.361 * [taylor]: Taking taylor expansion of x in x 5.361 * [backup-simplify]: Simplify 0 into 0 5.361 * [backup-simplify]: Simplify 1 into 1 5.361 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.361 * [taylor]: Taking taylor expansion of 1.0 in x 5.361 * [backup-simplify]: Simplify 1.0 into 1.0 5.361 * [taylor]: Taking taylor expansion of (cos x) in x 5.361 * [taylor]: Taking taylor expansion of x in x 5.361 * [backup-simplify]: Simplify 0 into 0 5.361 * [backup-simplify]: Simplify 1 into 1 5.361 * [backup-simplify]: Simplify (- 1) into -1 5.361 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 5.361 * [backup-simplify]: Simplify 0 into 0 5.361 * [backup-simplify]: Simplify (+ 0) into 0 5.362 * [backup-simplify]: Simplify (- 0) into 0 5.362 * [backup-simplify]: Simplify (+ 0 0) into 0 5.362 * [backup-simplify]: Simplify 0 into 0 5.363 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 5.363 * [backup-simplify]: Simplify (- -1/2) into 1/2 5.363 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.363 * [backup-simplify]: Simplify 1/2 into 1/2 5.364 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.364 * [backup-simplify]: Simplify (- 0) into 0 5.364 * [backup-simplify]: Simplify (+ 0 0) into 0 5.364 * [backup-simplify]: Simplify 0 into 0 5.366 * [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 5.366 * [backup-simplify]: Simplify (- 1/24) into -1/24 5.366 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 5.366 * [backup-simplify]: Simplify -1/24 into -1/24 5.368 * [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 5.368 * [backup-simplify]: Simplify (- 0) into 0 5.368 * [backup-simplify]: Simplify (+ 0 0) into 0 5.368 * [backup-simplify]: Simplify 0 into 0 5.371 * [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 5.371 * [backup-simplify]: Simplify (- -1/720) into 1/720 5.371 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 5.371 * [backup-simplify]: Simplify 1/720 into 1/720 5.372 * [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))) 5.372 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 5.372 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 5.372 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.372 * [taylor]: Taking taylor expansion of 1.0 in x 5.372 * [backup-simplify]: Simplify 1.0 into 1.0 5.372 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.372 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.372 * [taylor]: Taking taylor expansion of x in x 5.372 * [backup-simplify]: Simplify 0 into 0 5.372 * [backup-simplify]: Simplify 1 into 1 5.372 * [backup-simplify]: Simplify (/ 1 1) into 1 5.372 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 5.372 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.372 * [taylor]: Taking taylor expansion of 1.0 in x 5.372 * [backup-simplify]: Simplify 1.0 into 1.0 5.372 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.372 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.372 * [taylor]: Taking taylor expansion of x in x 5.372 * [backup-simplify]: Simplify 0 into 0 5.372 * [backup-simplify]: Simplify 1 into 1 5.373 * [backup-simplify]: Simplify (/ 1 1) into 1 5.373 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 5.373 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 5.373 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 5.373 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 5.373 * [backup-simplify]: Simplify (- 0) into 0 5.373 * [backup-simplify]: Simplify (+ 0 0) into 0 5.373 * [backup-simplify]: Simplify 0 into 0 5.374 * [backup-simplify]: Simplify (- 0) into 0 5.374 * [backup-simplify]: Simplify (+ 0 0) into 0 5.374 * [backup-simplify]: Simplify 0 into 0 5.374 * [backup-simplify]: Simplify (- 0) into 0 5.374 * [backup-simplify]: Simplify (+ 0 0) into 0 5.374 * [backup-simplify]: Simplify 0 into 0 5.375 * [backup-simplify]: Simplify (- 0) into 0 5.375 * [backup-simplify]: Simplify (+ 0 0) into 0 5.375 * [backup-simplify]: Simplify 0 into 0 5.375 * [backup-simplify]: Simplify (- 0) into 0 5.375 * [backup-simplify]: Simplify (+ 0 0) into 0 5.375 * [backup-simplify]: Simplify 0 into 0 5.376 * [backup-simplify]: Simplify (- 0) into 0 5.376 * [backup-simplify]: Simplify (+ 0 0) into 0 5.376 * [backup-simplify]: Simplify 0 into 0 5.376 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 5.376 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 5.376 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 5.376 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.376 * [taylor]: Taking taylor expansion of 1.0 in x 5.376 * [backup-simplify]: Simplify 1.0 into 1.0 5.376 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.376 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.376 * [taylor]: Taking taylor expansion of -1 in x 5.376 * [backup-simplify]: Simplify -1 into -1 5.376 * [taylor]: Taking taylor expansion of x in x 5.376 * [backup-simplify]: Simplify 0 into 0 5.376 * [backup-simplify]: Simplify 1 into 1 5.376 * [backup-simplify]: Simplify (/ -1 1) into -1 5.377 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 5.377 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.377 * [taylor]: Taking taylor expansion of 1.0 in x 5.377 * [backup-simplify]: Simplify 1.0 into 1.0 5.377 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.377 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.377 * [taylor]: Taking taylor expansion of -1 in x 5.377 * [backup-simplify]: Simplify -1 into -1 5.377 * [taylor]: Taking taylor expansion of x in x 5.377 * [backup-simplify]: Simplify 0 into 0 5.377 * [backup-simplify]: Simplify 1 into 1 5.377 * [backup-simplify]: Simplify (/ -1 1) into -1 5.377 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 5.377 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 5.377 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 5.377 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 5.377 * [backup-simplify]: Simplify (- 0) into 0 5.378 * [backup-simplify]: Simplify (+ 0 0) into 0 5.378 * [backup-simplify]: Simplify 0 into 0 5.378 * [backup-simplify]: Simplify (- 0) into 0 5.378 * [backup-simplify]: Simplify (+ 0 0) into 0 5.378 * [backup-simplify]: Simplify 0 into 0 5.378 * [backup-simplify]: Simplify (- 0) into 0 5.379 * [backup-simplify]: Simplify (+ 0 0) into 0 5.379 * [backup-simplify]: Simplify 0 into 0 5.379 * [backup-simplify]: Simplify (- 0) into 0 5.379 * [backup-simplify]: Simplify (+ 0 0) into 0 5.379 * [backup-simplify]: Simplify 0 into 0 5.379 * [backup-simplify]: Simplify (- 0) into 0 5.380 * [backup-simplify]: Simplify (+ 0 0) into 0 5.380 * [backup-simplify]: Simplify 0 into 0 5.380 * [backup-simplify]: Simplify (- 0) into 0 5.380 * [backup-simplify]: Simplify (+ 0 0) into 0 5.380 * [backup-simplify]: Simplify 0 into 0 5.380 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 5.380 * * * * [progress]: [ 3 / 4 ] generating series at (2) 5.381 * [backup-simplify]: Simplify (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x)) into (/ (- 1.0 (cos x)) (pow x 2)) 5.381 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 5.381 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 5.381 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.381 * [taylor]: Taking taylor expansion of 1.0 in x 5.381 * [backup-simplify]: Simplify 1.0 into 1.0 5.381 * [taylor]: Taking taylor expansion of (cos x) in x 5.381 * [taylor]: Taking taylor expansion of x in x 5.381 * [backup-simplify]: Simplify 0 into 0 5.381 * [backup-simplify]: Simplify 1 into 1 5.381 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.381 * [taylor]: Taking taylor expansion of x in x 5.381 * [backup-simplify]: Simplify 0 into 0 5.381 * [backup-simplify]: Simplify 1 into 1 5.381 * [backup-simplify]: Simplify (- 1) into -1 5.381 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 5.382 * [backup-simplify]: Simplify (+ 0) into 0 5.382 * [backup-simplify]: Simplify (- 0) into 0 5.382 * [backup-simplify]: Simplify (+ 0 0) into 0 5.383 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 5.383 * [backup-simplify]: Simplify (- -1/2) into 1/2 5.383 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.383 * [backup-simplify]: Simplify (* 1 1) into 1 5.384 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.384 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 5.384 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.384 * [taylor]: Taking taylor expansion of 1.0 in x 5.384 * [backup-simplify]: Simplify 1.0 into 1.0 5.384 * [taylor]: Taking taylor expansion of (cos x) in x 5.384 * [taylor]: Taking taylor expansion of x in x 5.384 * [backup-simplify]: Simplify 0 into 0 5.384 * [backup-simplify]: Simplify 1 into 1 5.384 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.384 * [taylor]: Taking taylor expansion of x in x 5.384 * [backup-simplify]: Simplify 0 into 0 5.384 * [backup-simplify]: Simplify 1 into 1 5.384 * [backup-simplify]: Simplify (- 1) into -1 5.384 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 5.384 * [backup-simplify]: Simplify (+ 0) into 0 5.385 * [backup-simplify]: Simplify (- 0) into 0 5.385 * [backup-simplify]: Simplify (+ 0 0) into 0 5.385 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 5.386 * [backup-simplify]: Simplify (- -1/2) into 1/2 5.386 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.386 * [backup-simplify]: Simplify (* 1 1) into 1 5.386 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.387 * [backup-simplify]: Simplify 1/2 into 1/2 5.387 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.387 * [backup-simplify]: Simplify (- 0) into 0 5.388 * [backup-simplify]: Simplify (+ 0 0) into 0 5.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.389 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.389 * [backup-simplify]: Simplify 0 into 0 5.395 * [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 5.396 * [backup-simplify]: Simplify (- 1/24) into -1/24 5.396 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 5.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.397 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 5.397 * [backup-simplify]: Simplify -1/24 into -1/24 5.399 * [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 5.399 * [backup-simplify]: Simplify (- 0) into 0 5.399 * [backup-simplify]: Simplify (+ 0 0) into 0 5.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 5.400 * [backup-simplify]: Simplify 0 into 0 5.403 * [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 5.403 * [backup-simplify]: Simplify (- -1/720) into 1/720 5.404 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 5.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.405 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 5.405 * [backup-simplify]: Simplify 1/720 into 1/720 5.406 * [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))) 5.406 * [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)))) 5.406 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 5.406 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 5.406 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.406 * [taylor]: Taking taylor expansion of x in x 5.406 * [backup-simplify]: Simplify 0 into 0 5.406 * [backup-simplify]: Simplify 1 into 1 5.406 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.406 * [taylor]: Taking taylor expansion of 1.0 in x 5.406 * [backup-simplify]: Simplify 1.0 into 1.0 5.406 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.406 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.406 * [taylor]: Taking taylor expansion of x in x 5.406 * [backup-simplify]: Simplify 0 into 0 5.406 * [backup-simplify]: Simplify 1 into 1 5.406 * [backup-simplify]: Simplify (/ 1 1) into 1 5.406 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 5.406 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 5.406 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.406 * [taylor]: Taking taylor expansion of x in x 5.406 * [backup-simplify]: Simplify 0 into 0 5.406 * [backup-simplify]: Simplify 1 into 1 5.406 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.406 * [taylor]: Taking taylor expansion of 1.0 in x 5.406 * [backup-simplify]: Simplify 1.0 into 1.0 5.406 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.406 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.407 * [taylor]: Taking taylor expansion of x in x 5.407 * [backup-simplify]: Simplify 0 into 0 5.407 * [backup-simplify]: Simplify 1 into 1 5.407 * [backup-simplify]: Simplify (/ 1 1) into 1 5.407 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 5.407 * [backup-simplify]: Simplify (* 1 1) into 1 5.407 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 5.407 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 5.407 * [backup-simplify]: Simplify (* 1 (- 1.0 (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 5.407 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 5.408 * [backup-simplify]: Simplify (- 0) into 0 5.408 * [backup-simplify]: Simplify (+ 0 0) into 0 5.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.409 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1.0 (cos (/ 1 x))))) into 0 5.409 * [backup-simplify]: Simplify 0 into 0 5.409 * [backup-simplify]: Simplify (- 0) into 0 5.409 * [backup-simplify]: Simplify (+ 0 0) into 0 5.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))) into 0 5.410 * [backup-simplify]: Simplify 0 into 0 5.410 * [backup-simplify]: Simplify (- 0) into 0 5.411 * [backup-simplify]: Simplify (+ 0 0) into 0 5.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))) into 0 5.412 * [backup-simplify]: Simplify 0 into 0 5.412 * [backup-simplify]: Simplify (- 0) into 0 5.412 * [backup-simplify]: Simplify (+ 0 0) into 0 5.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))) into 0 5.414 * [backup-simplify]: Simplify 0 into 0 5.414 * [backup-simplify]: Simplify (- 0) into 0 5.414 * [backup-simplify]: Simplify (+ 0 0) into 0 5.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))))) into 0 5.416 * [backup-simplify]: Simplify 0 into 0 5.417 * [backup-simplify]: Simplify (- 0) into 0 5.417 * [backup-simplify]: Simplify (+ 0 0) into 0 5.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))))) into 0 5.419 * [backup-simplify]: Simplify 0 into 0 5.419 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 5.420 * [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)) 5.420 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 5.420 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 5.420 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.420 * [taylor]: Taking taylor expansion of 1.0 in x 5.420 * [backup-simplify]: Simplify 1.0 into 1.0 5.420 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.420 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.420 * [taylor]: Taking taylor expansion of -1 in x 5.420 * [backup-simplify]: Simplify -1 into -1 5.420 * [taylor]: Taking taylor expansion of x in x 5.420 * [backup-simplify]: Simplify 0 into 0 5.420 * [backup-simplify]: Simplify 1 into 1 5.420 * [backup-simplify]: Simplify (/ -1 1) into -1 5.420 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 5.420 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.420 * [taylor]: Taking taylor expansion of x in x 5.420 * [backup-simplify]: Simplify 0 into 0 5.420 * [backup-simplify]: Simplify 1 into 1 5.420 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 5.420 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.420 * [taylor]: Taking taylor expansion of 1.0 in x 5.420 * [backup-simplify]: Simplify 1.0 into 1.0 5.420 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.420 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.420 * [taylor]: Taking taylor expansion of -1 in x 5.420 * [backup-simplify]: Simplify -1 into -1 5.420 * [taylor]: Taking taylor expansion of x in x 5.420 * [backup-simplify]: Simplify 0 into 0 5.420 * [backup-simplify]: Simplify 1 into 1 5.421 * [backup-simplify]: Simplify (/ -1 1) into -1 5.421 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 5.421 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.421 * [taylor]: Taking taylor expansion of x in x 5.421 * [backup-simplify]: Simplify 0 into 0 5.421 * [backup-simplify]: Simplify 1 into 1 5.421 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 5.421 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 5.421 * [backup-simplify]: Simplify (* 1 1) into 1 5.421 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 x))) 1) into (- 1.0 (cos (/ -1 x))) 5.421 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 5.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.422 * [backup-simplify]: Simplify (- 0) into 0 5.422 * [backup-simplify]: Simplify (+ 0 0) into 0 5.422 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (* 0 1)) into 0 5.422 * [backup-simplify]: Simplify 0 into 0 5.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.423 * [backup-simplify]: Simplify (- 0) into 0 5.423 * [backup-simplify]: Simplify (+ 0 0) into 0 5.424 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 1))) into 0 5.424 * [backup-simplify]: Simplify 0 into 0 5.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.425 * [backup-simplify]: Simplify (- 0) into 0 5.425 * [backup-simplify]: Simplify (+ 0 0) into 0 5.425 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.425 * [backup-simplify]: Simplify 0 into 0 5.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.426 * [backup-simplify]: Simplify (- 0) into 0 5.427 * [backup-simplify]: Simplify (+ 0 0) into 0 5.427 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.427 * [backup-simplify]: Simplify 0 into 0 5.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.428 * [backup-simplify]: Simplify (- 0) into 0 5.428 * [backup-simplify]: Simplify (+ 0 0) into 0 5.429 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.429 * [backup-simplify]: Simplify 0 into 0 5.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.430 * [backup-simplify]: Simplify (- 0) into 0 5.430 * [backup-simplify]: Simplify (+ 0 0) into 0 5.431 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.431 * [backup-simplify]: Simplify 0 into 0 5.431 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 5.431 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 5.432 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (cos x))) x) into (* (sqrt (- 1.0 (cos x))) (/ 1 x)) 5.432 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in (x) around 0 5.432 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 5.432 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 5.432 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.432 * [taylor]: Taking taylor expansion of 1.0 in x 5.432 * [backup-simplify]: Simplify 1.0 into 1.0 5.432 * [taylor]: Taking taylor expansion of (cos x) in x 5.432 * [taylor]: Taking taylor expansion of x in x 5.432 * [backup-simplify]: Simplify 0 into 0 5.432 * [backup-simplify]: Simplify 1 into 1 5.432 * [backup-simplify]: Simplify (- 1) into -1 5.432 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 5.433 * [backup-simplify]: Simplify (+ 0) into 0 5.433 * [backup-simplify]: Simplify (- 0) into 0 5.433 * [backup-simplify]: Simplify (+ 0 0) into 0 5.434 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 5.434 * [backup-simplify]: Simplify (- -1/2) into 1/2 5.434 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.434 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.435 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.435 * [backup-simplify]: Simplify (- 0) into 0 5.436 * [backup-simplify]: Simplify (+ 0 0) into 0 5.436 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.436 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.436 * [taylor]: Taking taylor expansion of x in x 5.436 * [backup-simplify]: Simplify 0 into 0 5.436 * [backup-simplify]: Simplify 1 into 1 5.436 * [backup-simplify]: Simplify (/ 1 1) into 1 5.436 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 5.436 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 5.436 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.436 * [taylor]: Taking taylor expansion of 1.0 in x 5.436 * [backup-simplify]: Simplify 1.0 into 1.0 5.436 * [taylor]: Taking taylor expansion of (cos x) in x 5.436 * [taylor]: Taking taylor expansion of x in x 5.436 * [backup-simplify]: Simplify 0 into 0 5.436 * [backup-simplify]: Simplify 1 into 1 5.437 * [backup-simplify]: Simplify (- 1) into -1 5.437 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 5.437 * [backup-simplify]: Simplify (+ 0) into 0 5.437 * [backup-simplify]: Simplify (- 0) into 0 5.438 * [backup-simplify]: Simplify (+ 0 0) into 0 5.438 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 5.438 * [backup-simplify]: Simplify (- -1/2) into 1/2 5.439 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.439 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.440 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.440 * [backup-simplify]: Simplify (- 0) into 0 5.440 * [backup-simplify]: Simplify (+ 0 0) into 0 5.440 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.440 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.441 * [taylor]: Taking taylor expansion of x in x 5.441 * [backup-simplify]: Simplify 0 into 0 5.441 * [backup-simplify]: Simplify 1 into 1 5.441 * [backup-simplify]: Simplify (/ 1 1) into 1 5.441 * [backup-simplify]: Simplify (* (sqrt 1/2) 1) into (sqrt 1/2) 5.442 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.443 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 1)) into 0 5.443 * [backup-simplify]: Simplify 0 into 0 5.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.445 * [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 5.445 * [backup-simplify]: Simplify (- 1/24) into -1/24 5.445 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 5.447 * [backup-simplify]: Simplify (/ (- -1/24 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/48 (sqrt 1/2)) 5.450 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* (/ -1/48 (sqrt 1/2)) 1))) into (- (* 1/48 (/ 1 (sqrt 1/2)))) 5.452 * [backup-simplify]: Simplify (- (* 1/48 (/ 1 (sqrt 1/2)))) into (- (* 1/48 (/ 1 (sqrt 1/2)))) 5.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.453 * [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 5.454 * [backup-simplify]: Simplify (- 0) into 0 5.454 * [backup-simplify]: Simplify (+ 0 0) into 0 5.455 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/48 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into 0 5.456 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* (/ -1/48 (sqrt 1/2)) 0) (* 0 1)))) into 0 5.456 * [backup-simplify]: Simplify 0 into 0 5.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.459 * [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 5.459 * [backup-simplify]: Simplify (- -1/720) into 1/720 5.460 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 5.464 * [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))) 5.477 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* (/ -1/48 (sqrt 1/2)) 0) (+ (* 0 0) (* (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) 1))))) into (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) 5.485 * [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)))) 5.491 * [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))))) 5.491 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (cos (/ 1 x)))) (/ 1 x)) into (* x (sqrt (- 1.0 (cos (/ 1 x))))) 5.491 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in (x) around 0 5.491 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 5.491 * [taylor]: Taking taylor expansion of x in x 5.491 * [backup-simplify]: Simplify 0 into 0 5.491 * [backup-simplify]: Simplify 1 into 1 5.491 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 5.491 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.491 * [taylor]: Taking taylor expansion of 1.0 in x 5.491 * [backup-simplify]: Simplify 1.0 into 1.0 5.491 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.491 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.491 * [taylor]: Taking taylor expansion of x in x 5.491 * [backup-simplify]: Simplify 0 into 0 5.491 * [backup-simplify]: Simplify 1 into 1 5.491 * [backup-simplify]: Simplify (/ 1 1) into 1 5.491 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 5.492 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 5.492 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 5.492 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ 1 x)))) into (sqrt (- 1.0 (cos (/ 1 x)))) 5.492 * [backup-simplify]: Simplify (- 0) into 0 5.492 * [backup-simplify]: Simplify (+ 0 0) into 0 5.492 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 5.492 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 5.492 * [taylor]: Taking taylor expansion of x in x 5.492 * [backup-simplify]: Simplify 0 into 0 5.492 * [backup-simplify]: Simplify 1 into 1 5.492 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 5.492 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.492 * [taylor]: Taking taylor expansion of 1.0 in x 5.492 * [backup-simplify]: Simplify 1.0 into 1.0 5.492 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.492 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.492 * [taylor]: Taking taylor expansion of x in x 5.492 * [backup-simplify]: Simplify 0 into 0 5.492 * [backup-simplify]: Simplify 1 into 1 5.493 * [backup-simplify]: Simplify (/ 1 1) into 1 5.493 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 5.493 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 5.493 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 5.493 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ 1 x)))) into (sqrt (- 1.0 (cos (/ 1 x)))) 5.493 * [backup-simplify]: Simplify (- 0) into 0 5.493 * [backup-simplify]: Simplify (+ 0 0) into 0 5.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 5.494 * [backup-simplify]: Simplify (* 0 (sqrt (- 1.0 (cos (/ 1 x))))) into 0 5.494 * [backup-simplify]: Simplify 0 into 0 5.494 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt (- 1.0 (cos (/ 1 x)))))) into (sqrt (- 1.0 (cos (/ 1 x)))) 5.494 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ 1 x)))) into (sqrt (- 1.0 (cos (/ 1 x)))) 5.494 * [backup-simplify]: Simplify (- 0) into 0 5.495 * [backup-simplify]: Simplify (+ 0 0) into 0 5.495 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 5.496 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x))))))) into 0 5.496 * [backup-simplify]: Simplify 0 into 0 5.496 * [backup-simplify]: Simplify (- 0) into 0 5.496 * [backup-simplify]: Simplify (+ 0 0) into 0 5.497 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 5.497 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x)))))))) into 0 5.497 * [backup-simplify]: Simplify 0 into 0 5.498 * [backup-simplify]: Simplify (- 0) into 0 5.498 * [backup-simplify]: Simplify (+ 0 0) into 0 5.498 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 5.499 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x))))))))) into 0 5.499 * [backup-simplify]: Simplify 0 into 0 5.500 * [backup-simplify]: Simplify (- 0) into 0 5.500 * [backup-simplify]: Simplify (+ 0 0) into 0 5.500 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 5.502 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x)))))))))) into 0 5.502 * [backup-simplify]: Simplify 0 into 0 5.502 * [backup-simplify]: Simplify (- 0) into 0 5.502 * [backup-simplify]: Simplify (+ 0 0) into 0 5.503 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 5.504 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x))))))))))) into 0 5.504 * [backup-simplify]: Simplify 0 into 0 5.504 * [backup-simplify]: Simplify (- 0) into 0 5.505 * [backup-simplify]: Simplify (+ 0 0) into 0 5.505 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 5.507 * [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 5.507 * [backup-simplify]: Simplify 0 into 0 5.507 * [backup-simplify]: Simplify (* (sqrt (- 1.0 (cos (/ 1 (/ 1 x))))) (/ 1 x)) into (* (sqrt (- 1.0 (cos x))) (/ 1 x)) 5.507 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (cos (/ 1 (- x))))) (/ 1 (- x))) into (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) 5.507 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in (x) around 0 5.507 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 5.507 * [taylor]: Taking taylor expansion of -1 in x 5.507 * [backup-simplify]: Simplify -1 into -1 5.507 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 5.507 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 5.507 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.507 * [taylor]: Taking taylor expansion of 1.0 in x 5.507 * [backup-simplify]: Simplify 1.0 into 1.0 5.507 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.507 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.507 * [taylor]: Taking taylor expansion of -1 in x 5.507 * [backup-simplify]: Simplify -1 into -1 5.507 * [taylor]: Taking taylor expansion of x in x 5.507 * [backup-simplify]: Simplify 0 into 0 5.507 * [backup-simplify]: Simplify 1 into 1 5.508 * [backup-simplify]: Simplify (/ -1 1) into -1 5.508 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 5.508 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 5.508 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 5.508 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ -1 x)))) into (sqrt (- 1.0 (cos (/ -1 x)))) 5.508 * [backup-simplify]: Simplify (- 0) into 0 5.508 * [backup-simplify]: Simplify (+ 0 0) into 0 5.508 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 5.509 * [taylor]: Taking taylor expansion of x in x 5.509 * [backup-simplify]: Simplify 0 into 0 5.509 * [backup-simplify]: Simplify 1 into 1 5.509 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 5.509 * [taylor]: Taking taylor expansion of -1 in x 5.509 * [backup-simplify]: Simplify -1 into -1 5.509 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 5.509 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 5.509 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.509 * [taylor]: Taking taylor expansion of 1.0 in x 5.509 * [backup-simplify]: Simplify 1.0 into 1.0 5.509 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.509 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.509 * [taylor]: Taking taylor expansion of -1 in x 5.509 * [backup-simplify]: Simplify -1 into -1 5.509 * [taylor]: Taking taylor expansion of x in x 5.509 * [backup-simplify]: Simplify 0 into 0 5.509 * [backup-simplify]: Simplify 1 into 1 5.509 * [backup-simplify]: Simplify (/ -1 1) into -1 5.509 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 5.509 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 5.509 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 5.509 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ -1 x)))) into (sqrt (- 1.0 (cos (/ -1 x)))) 5.510 * [backup-simplify]: Simplify (- 0) into 0 5.510 * [backup-simplify]: Simplify (+ 0 0) into 0 5.510 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 5.510 * [taylor]: Taking taylor expansion of x in x 5.510 * [backup-simplify]: Simplify 0 into 0 5.510 * [backup-simplify]: Simplify 1 into 1 5.510 * [backup-simplify]: Simplify (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) into 0 5.510 * [backup-simplify]: Simplify (* -1 0) into 0 5.510 * [backup-simplify]: Simplify 0 into 0 5.511 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 1) (* 0 0)) into (sqrt (- 1.0 (cos (/ -1 x)))) 5.511 * [backup-simplify]: Simplify (+ (* -1 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0)) into (- (sqrt (- 1.0 (cos (/ -1 x))))) 5.511 * [backup-simplify]: Simplify (- (sqrt (- 1.0 (cos (/ -1 x))))) into (- (sqrt (- 1.0 (cos (/ -1 x))))) 5.511 * [backup-simplify]: Simplify (- 0) into 0 5.512 * [backup-simplify]: Simplify (+ 0 0) into 0 5.512 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 5.513 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 1) (* 0 0))) into 0 5.513 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0))) into 0 5.513 * [backup-simplify]: Simplify 0 into 0 5.513 * [backup-simplify]: Simplify (- 0) into 0 5.514 * [backup-simplify]: Simplify (+ 0 0) into 0 5.514 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 5.515 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.516 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0)))) into 0 5.516 * [backup-simplify]: Simplify 0 into 0 5.516 * [backup-simplify]: Simplify (- 0) into 0 5.516 * [backup-simplify]: Simplify (+ 0 0) into 0 5.517 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 5.517 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.518 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0))))) into 0 5.518 * [backup-simplify]: Simplify 0 into 0 5.519 * [backup-simplify]: Simplify (- 0) into 0 5.519 * [backup-simplify]: Simplify (+ 0 0) into 0 5.519 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 5.520 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 5.521 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0)))))) into 0 5.521 * [backup-simplify]: Simplify 0 into 0 5.522 * [backup-simplify]: Simplify (- 0) into 0 5.522 * [backup-simplify]: Simplify (+ 0 0) into 0 5.523 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 5.523 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 5.525 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt (- 1.0 (cos (/ -1 x))))) (* 0 0))))))) into 0 5.525 * [backup-simplify]: Simplify 0 into 0 5.525 * [backup-simplify]: Simplify (- 0) into 0 5.525 * [backup-simplify]: Simplify (+ 0 0) into 0 5.526 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 5.527 * [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 5.528 * [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 5.528 * [backup-simplify]: Simplify 0 into 0 5.528 * [backup-simplify]: Simplify (* (- (sqrt (- 1.0 (cos (/ -1 (/ 1 (- x))))))) (/ 1 (- x))) into (* (sqrt (- 1.0 (cos x))) (/ 1 x)) 5.529 * * * [progress]: simplifying candidates 5.532 * [simplify]: Simplifying: (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma 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(pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) (- (+ (* 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))))) (* (sqrt (- 1.0 (cos x))) (/ 1 x)) (* (sqrt (- 1.0 (cos x))) (/ 1 x)) 5.539 * * [simplify]: Extracting # 0 : cost 0 5.539 * * [simplify]: Extracting # 1 : cost 0 5.539 * * [simplify]: Extracting # 2 : cost 0 5.540 * * [simplify]: Extracting # 3 : cost 0 5.540 * * [simplify]: Extracting # 4 : cost 0 5.540 * * [simplify]: Extracting # 5 : cost 0 5.541 * * [simplify]: Extracting # 6 : cost 0 5.541 * * [simplify]: Extracting # 7 : cost 0 5.541 * * [simplify]: Extracting # 8 : cost 0 5.542 * * [simplify]: iteration 0 : 261 enodes (cost 4851 ) 5.645 * * [simplify]: Extracting # 0 : cost 0 5.646 * * [simplify]: Extracting # 1 : cost 0 5.647 * * [simplify]: Extracting # 2 : cost 0 5.648 * * [simplify]: Extracting # 3 : cost 0 5.649 * * [simplify]: Extracting # 4 : cost 0 5.651 * * [simplify]: iteration 1 : 693 enodes (cost 3988 ) 6.032 * * [simplify]: Extracting # 0 : cost 0 6.035 * * [simplify]: Extracting # 1 : cost 0 6.038 * * [simplify]: Extracting # 2 : cost 0 6.040 * * [simplify]: Extracting # 3 : cost 0 6.043 * * [simplify]: Extracting # 4 : cost 0 6.045 * * [simplify]: iteration 2 : 2409 enodes (cost 3318 ) 7.530 * * [simplify]: Extracting # 0 : cost 0 7.543 * * [simplify]: Extracting # 1 : cost 0 7.554 * * [simplify]: Extracting # 2 : cost 0 7.565 * * [simplify]: Extracting # 3 : cost 0 7.571 * * [simplify]: Extracting # 4 : cost 0 7.577 * * [simplify]: iteration done: 5000 enodes (cost 3078 ) 7.578 * [simplify]: Simplified to: (- (pow (cbrt 1.0) 3) (cos x)) 0 (- (pow (cbrt 1.0) 3) (cos x)) 0 (- (pow (cbrt 1.0) 3) (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos 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x) x) (* (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) x)) (* (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) x)) (* (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) x) (/ (sqrt (- 1.0 (cos x))) x)) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (/ (- 1.0 (cos x)) x) x) (/ (pow (sqrt (sqrt (- 1.0 (cos x)))) 3) (* (cbrt x) x)) (/ (pow (sqrt (sqrt (- 1.0 (cos x)))) 3) (* (sqrt x) x)) (/ (pow (sqrt (sqrt (- 1.0 (cos x)))) 3) (* x x)) (/ (/ (- 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) x) (/ (sqrt (- 1.0 (cos x))) (* x x)) (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x) (expm1 (/ (sqrt (- 1.0 (cos x))) x)) (log1p (/ (sqrt (- 1.0 (cos x))) x)) (log (/ (sqrt (- 1.0 (cos x))) x)) (log (/ (sqrt (- 1.0 (cos x))) x)) (exp (/ (sqrt (- 1.0 (cos x))) x)) (pow (/ (sqrt (- 1.0 (cos x))) x) 3) (* (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (cbrt (/ (sqrt (- 1.0 (cos 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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 1.0) (sqrt (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt x)) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (/ (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 (fma 1.0 1.0 (* (cos x) (+ 1.0 (cos x)))))) (* x (sqrt (+ 1.0 (cos x)))) (fma (* x x) 1/2 (fma (pow x 6) 1/720 (* (pow x 4) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) (fma (* x x) 1/2 (fma (pow x 6) 1/720 (* (pow x 4) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) (fma -1/24 (* x x) (fma 1/720 (pow x 4) 1/2)) (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (- 1.0 (cos x)) x) x) (- (fma 1/1440 (/ (pow x 4) (sqrt 1/2)) (sqrt 1/2)) (fma 1/48 (/ (pow x 2) (sqrt 1/2)) (* 1/2304 (/ (pow x 4) (sqrt 1/2))))) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) 7.580 * * * [progress]: adding candidates to table 8.100 * * [progress]: iteration 4 / 4 8.101 * * * [progress]: picking best candidate 8.131 * * * * [pick]: Picked # 8.131 * * * [progress]: localizing error 8.144 * * * [progress]: generating rewritten candidates 8.145 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1) 8.156 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 8.184 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 8.232 * * * [progress]: generating series expansions 8.232 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1) 8.232 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 8.232 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 8.232 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 8.233 * [taylor]: Taking taylor expansion of 1.0 in x 8.233 * [backup-simplify]: Simplify 1.0 into 1.0 8.233 * [taylor]: Taking taylor expansion of (cos x) in x 8.233 * [taylor]: Taking taylor expansion of x in x 8.233 * [backup-simplify]: Simplify 0 into 0 8.233 * [backup-simplify]: Simplify 1 into 1 8.233 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 8.233 * [taylor]: Taking taylor expansion of 1.0 in x 8.233 * [backup-simplify]: Simplify 1.0 into 1.0 8.233 * [taylor]: Taking taylor expansion of (cos x) in x 8.233 * [taylor]: Taking taylor expansion of x in x 8.233 * [backup-simplify]: Simplify 0 into 0 8.233 * [backup-simplify]: Simplify 1 into 1 8.233 * [backup-simplify]: Simplify (- 1) into -1 8.234 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 8.234 * [backup-simplify]: Simplify 0 into 0 8.234 * [backup-simplify]: Simplify (+ 0) into 0 8.235 * [backup-simplify]: Simplify (- 0) into 0 8.235 * [backup-simplify]: Simplify (+ 0 0) into 0 8.235 * [backup-simplify]: Simplify 0 into 0 8.236 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 8.237 * [backup-simplify]: Simplify (- -1/2) into 1/2 8.237 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 8.237 * [backup-simplify]: Simplify 1/2 into 1/2 8.238 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.238 * [backup-simplify]: Simplify (- 0) into 0 8.239 * [backup-simplify]: Simplify (+ 0 0) into 0 8.239 * [backup-simplify]: Simplify 0 into 0 8.241 * [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 8.241 * [backup-simplify]: Simplify (- 1/24) into -1/24 8.242 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 8.242 * [backup-simplify]: Simplify -1/24 into -1/24 8.244 * [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 8.244 * [backup-simplify]: Simplify (- 0) into 0 8.245 * [backup-simplify]: Simplify (+ 0 0) into 0 8.245 * [backup-simplify]: Simplify 0 into 0 8.249 * [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 8.249 * [backup-simplify]: Simplify (- -1/720) into 1/720 8.250 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 8.250 * [backup-simplify]: Simplify 1/720 into 1/720 8.251 * [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))) 8.251 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 8.251 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 8.251 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 8.251 * [taylor]: Taking taylor expansion of 1.0 in x 8.251 * [backup-simplify]: Simplify 1.0 into 1.0 8.251 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 8.251 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.251 * [taylor]: Taking taylor expansion of x in x 8.251 * [backup-simplify]: Simplify 0 into 0 8.251 * [backup-simplify]: Simplify 1 into 1 8.251 * [backup-simplify]: Simplify (/ 1 1) into 1 8.251 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 8.251 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 8.251 * [taylor]: Taking taylor expansion of 1.0 in x 8.251 * [backup-simplify]: Simplify 1.0 into 1.0 8.251 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 8.251 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.251 * [taylor]: Taking taylor expansion of x in x 8.252 * [backup-simplify]: Simplify 0 into 0 8.252 * [backup-simplify]: Simplify 1 into 1 8.252 * [backup-simplify]: Simplify (/ 1 1) into 1 8.252 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 8.252 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 8.252 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 8.252 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 8.253 * [backup-simplify]: Simplify (- 0) into 0 8.253 * [backup-simplify]: Simplify (+ 0 0) into 0 8.253 * [backup-simplify]: Simplify 0 into 0 8.253 * [backup-simplify]: Simplify (- 0) into 0 8.254 * [backup-simplify]: Simplify (+ 0 0) into 0 8.254 * [backup-simplify]: Simplify 0 into 0 8.254 * [backup-simplify]: Simplify (- 0) into 0 8.254 * [backup-simplify]: Simplify (+ 0 0) into 0 8.254 * [backup-simplify]: Simplify 0 into 0 8.255 * [backup-simplify]: Simplify (- 0) into 0 8.255 * [backup-simplify]: Simplify (+ 0 0) into 0 8.255 * [backup-simplify]: Simplify 0 into 0 8.255 * [backup-simplify]: Simplify (- 0) into 0 8.256 * [backup-simplify]: Simplify (+ 0 0) into 0 8.256 * [backup-simplify]: Simplify 0 into 0 8.256 * [backup-simplify]: Simplify (- 0) into 0 8.256 * [backup-simplify]: Simplify (+ 0 0) into 0 8.256 * [backup-simplify]: Simplify 0 into 0 8.256 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 8.257 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 8.257 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 8.257 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 8.257 * [taylor]: Taking taylor expansion of 1.0 in x 8.257 * [backup-simplify]: Simplify 1.0 into 1.0 8.257 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 8.257 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.257 * [taylor]: Taking taylor expansion of -1 in x 8.257 * [backup-simplify]: Simplify -1 into -1 8.257 * [taylor]: Taking taylor expansion of x in x 8.257 * [backup-simplify]: Simplify 0 into 0 8.257 * [backup-simplify]: Simplify 1 into 1 8.257 * [backup-simplify]: Simplify (/ -1 1) into -1 8.257 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 8.257 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 8.257 * [taylor]: Taking taylor expansion of 1.0 in x 8.257 * [backup-simplify]: Simplify 1.0 into 1.0 8.257 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 8.257 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.257 * [taylor]: Taking taylor expansion of -1 in x 8.257 * [backup-simplify]: Simplify -1 into -1 8.257 * [taylor]: Taking taylor expansion of x in x 8.257 * [backup-simplify]: Simplify 0 into 0 8.257 * [backup-simplify]: Simplify 1 into 1 8.258 * [backup-simplify]: Simplify (/ -1 1) into -1 8.258 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 8.258 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 8.258 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 8.258 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 8.258 * [backup-simplify]: Simplify (- 0) into 0 8.259 * [backup-simplify]: Simplify (+ 0 0) into 0 8.259 * [backup-simplify]: Simplify 0 into 0 8.259 * [backup-simplify]: Simplify (- 0) into 0 8.259 * [backup-simplify]: Simplify (+ 0 0) into 0 8.259 * [backup-simplify]: Simplify 0 into 0 8.259 * [backup-simplify]: Simplify (- 0) into 0 8.260 * [backup-simplify]: Simplify (+ 0 0) into 0 8.260 * [backup-simplify]: Simplify 0 into 0 8.260 * [backup-simplify]: Simplify (- 0) into 0 8.260 * [backup-simplify]: Simplify (+ 0 0) into 0 8.260 * [backup-simplify]: Simplify 0 into 0 8.260 * [backup-simplify]: Simplify (- 0) into 0 8.261 * [backup-simplify]: Simplify (+ 0 0) into 0 8.261 * [backup-simplify]: Simplify 0 into 0 8.261 * [backup-simplify]: Simplify (- 0) into 0 8.261 * [backup-simplify]: Simplify (+ 0 0) into 0 8.261 * [backup-simplify]: Simplify 0 into 0 8.261 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 8.261 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 8.261 * [backup-simplify]: Simplify (/ (/ (- 1.0 (cos x)) x) x) into (/ (- 1.0 (cos x)) (pow x 2)) 8.261 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 8.261 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 8.261 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 8.261 * [taylor]: Taking taylor expansion of 1.0 in x 8.261 * [backup-simplify]: Simplify 1.0 into 1.0 8.261 * [taylor]: Taking taylor expansion of (cos x) in x 8.261 * [taylor]: Taking taylor expansion of x in x 8.262 * [backup-simplify]: Simplify 0 into 0 8.262 * [backup-simplify]: Simplify 1 into 1 8.262 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.262 * [taylor]: Taking taylor expansion of x in x 8.262 * [backup-simplify]: Simplify 0 into 0 8.262 * [backup-simplify]: Simplify 1 into 1 8.262 * [backup-simplify]: Simplify (- 1) into -1 8.262 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 8.262 * [backup-simplify]: Simplify (+ 0) into 0 8.263 * [backup-simplify]: Simplify (- 0) into 0 8.263 * [backup-simplify]: Simplify (+ 0 0) into 0 8.263 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 8.264 * [backup-simplify]: Simplify (- -1/2) into 1/2 8.264 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 8.264 * [backup-simplify]: Simplify (* 1 1) into 1 8.264 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.264 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 8.264 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 8.264 * [taylor]: Taking taylor expansion of 1.0 in x 8.264 * [backup-simplify]: Simplify 1.0 into 1.0 8.264 * [taylor]: Taking taylor expansion of (cos x) in x 8.264 * [taylor]: Taking taylor expansion of x in x 8.264 * [backup-simplify]: Simplify 0 into 0 8.265 * [backup-simplify]: Simplify 1 into 1 8.265 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.265 * [taylor]: Taking taylor expansion of x in x 8.265 * [backup-simplify]: Simplify 0 into 0 8.265 * [backup-simplify]: Simplify 1 into 1 8.265 * [backup-simplify]: Simplify (- 1) into -1 8.265 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 8.265 * [backup-simplify]: Simplify (+ 0) into 0 8.266 * [backup-simplify]: Simplify (- 0) into 0 8.266 * [backup-simplify]: Simplify (+ 0 0) into 0 8.267 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 8.267 * [backup-simplify]: Simplify (- -1/2) into 1/2 8.267 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 8.268 * [backup-simplify]: Simplify (* 1 1) into 1 8.268 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.268 * [backup-simplify]: Simplify 1/2 into 1/2 8.269 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.270 * [backup-simplify]: Simplify (- 0) into 0 8.270 * [backup-simplify]: Simplify (+ 0 0) into 0 8.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.271 * [backup-simplify]: Simplify 0 into 0 8.274 * [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 8.274 * [backup-simplify]: Simplify (- 1/24) into -1/24 8.274 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 8.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.275 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 8.275 * [backup-simplify]: Simplify -1/24 into -1/24 8.277 * [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 8.277 * [backup-simplify]: Simplify (- 0) into 0 8.277 * [backup-simplify]: Simplify (+ 0 0) into 0 8.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.278 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 8.278 * [backup-simplify]: Simplify 0 into 0 8.282 * [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 8.282 * [backup-simplify]: Simplify (- -1/720) into 1/720 8.282 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 8.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.284 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 8.284 * [backup-simplify]: Simplify 1/720 into 1/720 8.284 * [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))) 8.285 * [backup-simplify]: Simplify (/ (/ (- 1.0 (cos (/ 1 x))) (/ 1 x)) (/ 1 x)) into (* (pow x 2) (- 1.0 (cos (/ 1 x)))) 8.285 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 8.285 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 8.285 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.285 * [taylor]: Taking taylor expansion of x in x 8.285 * [backup-simplify]: Simplify 0 into 0 8.285 * [backup-simplify]: Simplify 1 into 1 8.285 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 8.285 * [taylor]: Taking taylor expansion of 1.0 in x 8.285 * [backup-simplify]: Simplify 1.0 into 1.0 8.285 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 8.285 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.285 * [taylor]: Taking taylor expansion of x in x 8.285 * [backup-simplify]: Simplify 0 into 0 8.285 * [backup-simplify]: Simplify 1 into 1 8.285 * [backup-simplify]: Simplify (/ 1 1) into 1 8.285 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 8.285 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 8.285 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.285 * [taylor]: Taking taylor expansion of x in x 8.285 * [backup-simplify]: Simplify 0 into 0 8.285 * [backup-simplify]: Simplify 1 into 1 8.285 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 8.285 * [taylor]: Taking taylor expansion of 1.0 in x 8.285 * [backup-simplify]: Simplify 1.0 into 1.0 8.285 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 8.285 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.285 * [taylor]: Taking taylor expansion of x in x 8.285 * [backup-simplify]: Simplify 0 into 0 8.285 * [backup-simplify]: Simplify 1 into 1 8.286 * [backup-simplify]: Simplify (/ 1 1) into 1 8.286 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 8.286 * [backup-simplify]: Simplify (* 1 1) into 1 8.286 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 8.286 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 8.286 * [backup-simplify]: Simplify (* 1 (- 1.0 (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 8.286 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 8.286 * [backup-simplify]: Simplify (- 0) into 0 8.287 * [backup-simplify]: Simplify (+ 0 0) into 0 8.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1.0 (cos (/ 1 x))))) into 0 8.287 * [backup-simplify]: Simplify 0 into 0 8.288 * [backup-simplify]: Simplify (- 0) into 0 8.288 * [backup-simplify]: Simplify (+ 0 0) into 0 8.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))) into 0 8.289 * [backup-simplify]: Simplify 0 into 0 8.290 * [backup-simplify]: Simplify (- 0) into 0 8.290 * [backup-simplify]: Simplify (+ 0 0) into 0 8.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))) into 0 8.291 * [backup-simplify]: Simplify 0 into 0 8.291 * [backup-simplify]: Simplify (- 0) into 0 8.292 * [backup-simplify]: Simplify (+ 0 0) into 0 8.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))) into 0 8.293 * [backup-simplify]: Simplify 0 into 0 8.293 * [backup-simplify]: Simplify (- 0) into 0 8.294 * [backup-simplify]: Simplify (+ 0 0) into 0 8.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))))) into 0 8.296 * [backup-simplify]: Simplify 0 into 0 8.296 * [backup-simplify]: Simplify (- 0) into 0 8.296 * [backup-simplify]: Simplify (+ 0 0) into 0 8.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))))) into 0 8.299 * [backup-simplify]: Simplify 0 into 0 8.299 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 8.299 * [backup-simplify]: Simplify (/ (/ (- 1.0 (cos (/ 1 (- x)))) (/ 1 (- x))) (/ 1 (- x))) into (* (- 1.0 (cos (/ -1 x))) (pow x 2)) 8.299 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 8.299 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 8.299 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 8.299 * [taylor]: Taking taylor expansion of 1.0 in x 8.299 * [backup-simplify]: Simplify 1.0 into 1.0 8.299 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 8.299 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.299 * [taylor]: Taking taylor expansion of -1 in x 8.299 * [backup-simplify]: Simplify -1 into -1 8.299 * [taylor]: Taking taylor expansion of x in x 8.299 * [backup-simplify]: Simplify 0 into 0 8.299 * [backup-simplify]: Simplify 1 into 1 8.299 * [backup-simplify]: Simplify (/ -1 1) into -1 8.299 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 8.299 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.299 * [taylor]: Taking taylor expansion of x in x 8.300 * [backup-simplify]: Simplify 0 into 0 8.300 * [backup-simplify]: Simplify 1 into 1 8.300 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 8.300 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 8.300 * [taylor]: Taking taylor expansion of 1.0 in x 8.300 * [backup-simplify]: Simplify 1.0 into 1.0 8.300 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 8.300 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.300 * [taylor]: Taking taylor expansion of -1 in x 8.300 * [backup-simplify]: Simplify -1 into -1 8.300 * [taylor]: Taking taylor expansion of x in x 8.300 * [backup-simplify]: Simplify 0 into 0 8.300 * [backup-simplify]: Simplify 1 into 1 8.300 * [backup-simplify]: Simplify (/ -1 1) into -1 8.300 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 8.300 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.300 * [taylor]: Taking taylor expansion of x in x 8.300 * [backup-simplify]: Simplify 0 into 0 8.300 * [backup-simplify]: Simplify 1 into 1 8.300 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 8.300 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 8.300 * [backup-simplify]: Simplify (* 1 1) into 1 8.301 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 x))) 1) into (- 1.0 (cos (/ -1 x))) 8.301 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 8.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.301 * [backup-simplify]: Simplify (- 0) into 0 8.301 * [backup-simplify]: Simplify (+ 0 0) into 0 8.302 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (* 0 1)) into 0 8.302 * [backup-simplify]: Simplify 0 into 0 8.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.303 * [backup-simplify]: Simplify (- 0) into 0 8.303 * [backup-simplify]: Simplify (+ 0 0) into 0 8.303 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 1))) into 0 8.303 * [backup-simplify]: Simplify 0 into 0 8.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.304 * [backup-simplify]: Simplify (- 0) into 0 8.304 * [backup-simplify]: Simplify (+ 0 0) into 0 8.305 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.305 * [backup-simplify]: Simplify 0 into 0 8.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.306 * [backup-simplify]: Simplify (- 0) into 0 8.306 * [backup-simplify]: Simplify (+ 0 0) into 0 8.307 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.307 * [backup-simplify]: Simplify 0 into 0 8.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.308 * [backup-simplify]: Simplify (- 0) into 0 8.308 * [backup-simplify]: Simplify (+ 0 0) into 0 8.309 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.309 * [backup-simplify]: Simplify 0 into 0 8.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.310 * [backup-simplify]: Simplify (- 0) into 0 8.310 * [backup-simplify]: Simplify (+ 0 0) into 0 8.311 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.311 * [backup-simplify]: Simplify 0 into 0 8.311 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 8.311 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 8.311 * [backup-simplify]: Simplify (/ (- 1.0 (cos x)) x) into (/ (- 1.0 (cos x)) x) 8.311 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in (x) around 0 8.311 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 8.311 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 8.311 * [taylor]: Taking taylor expansion of 1.0 in x 8.311 * [backup-simplify]: Simplify 1.0 into 1.0 8.311 * [taylor]: Taking taylor expansion of (cos x) in x 8.311 * [taylor]: Taking taylor expansion of x in x 8.311 * [backup-simplify]: Simplify 0 into 0 8.311 * [backup-simplify]: Simplify 1 into 1 8.311 * [taylor]: Taking taylor expansion of x in x 8.311 * [backup-simplify]: Simplify 0 into 0 8.311 * [backup-simplify]: Simplify 1 into 1 8.311 * [backup-simplify]: Simplify (- 1) into -1 8.312 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 8.312 * [backup-simplify]: Simplify (+ 0) into 0 8.312 * [backup-simplify]: Simplify (- 0) into 0 8.312 * [backup-simplify]: Simplify (+ 0 0) into 0 8.313 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 8.313 * [backup-simplify]: Simplify (- -1/2) into 1/2 8.313 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 8.314 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.314 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 8.314 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 8.314 * [taylor]: Taking taylor expansion of 1.0 in x 8.314 * [backup-simplify]: Simplify 1.0 into 1.0 8.314 * [taylor]: Taking taylor expansion of (cos x) in x 8.314 * [taylor]: Taking taylor expansion of x in x 8.314 * [backup-simplify]: Simplify 0 into 0 8.314 * [backup-simplify]: Simplify 1 into 1 8.314 * [taylor]: Taking taylor expansion of x in x 8.314 * [backup-simplify]: Simplify 0 into 0 8.314 * [backup-simplify]: Simplify 1 into 1 8.314 * [backup-simplify]: Simplify (- 1) into -1 8.314 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 8.315 * [backup-simplify]: Simplify (+ 0) into 0 8.315 * [backup-simplify]: Simplify (- 0) into 0 8.315 * [backup-simplify]: Simplify (+ 0 0) into 0 8.316 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 8.316 * [backup-simplify]: Simplify (- -1/2) into 1/2 8.316 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 8.316 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.316 * [backup-simplify]: Simplify 1/2 into 1/2 8.317 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.317 * [backup-simplify]: Simplify (- 0) into 0 8.318 * [backup-simplify]: Simplify (+ 0 0) into 0 8.318 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.318 * [backup-simplify]: Simplify 0 into 0 8.320 * [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 8.320 * [backup-simplify]: Simplify (- 1/24) into -1/24 8.320 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 8.321 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 8.321 * [backup-simplify]: Simplify -1/24 into -1/24 8.322 * [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 8.323 * [backup-simplify]: Simplify (- 0) into 0 8.323 * [backup-simplify]: Simplify (+ 0 0) into 0 8.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 8.323 * [backup-simplify]: Simplify 0 into 0 8.329 * [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 8.330 * [backup-simplify]: Simplify (- -1/720) into 1/720 8.330 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 8.331 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 8.331 * [backup-simplify]: Simplify 1/720 into 1/720 8.331 * [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))) 8.331 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (/ 1 x)) into (* x (- 1.0 (cos (/ 1 x)))) 8.332 * [approximate]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in (x) around 0 8.332 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 8.332 * [taylor]: Taking taylor expansion of x in x 8.332 * [backup-simplify]: Simplify 0 into 0 8.332 * [backup-simplify]: Simplify 1 into 1 8.332 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 8.332 * [taylor]: Taking taylor expansion of 1.0 in x 8.332 * [backup-simplify]: Simplify 1.0 into 1.0 8.332 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 8.332 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.332 * [taylor]: Taking taylor expansion of x in x 8.332 * [backup-simplify]: Simplify 0 into 0 8.332 * [backup-simplify]: Simplify 1 into 1 8.332 * [backup-simplify]: Simplify (/ 1 1) into 1 8.332 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 8.332 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 8.332 * [taylor]: Taking taylor expansion of x in x 8.332 * [backup-simplify]: Simplify 0 into 0 8.332 * [backup-simplify]: Simplify 1 into 1 8.332 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 8.332 * [taylor]: Taking taylor expansion of 1.0 in x 8.332 * [backup-simplify]: Simplify 1.0 into 1.0 8.332 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 8.332 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.332 * [taylor]: Taking taylor expansion of x in x 8.332 * [backup-simplify]: Simplify 0 into 0 8.332 * [backup-simplify]: Simplify 1 into 1 8.332 * [backup-simplify]: Simplify (/ 1 1) into 1 8.332 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 8.333 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 8.333 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 8.333 * [backup-simplify]: Simplify (* 0 (- 1.0 (cos (/ 1 x)))) into 0 8.333 * [backup-simplify]: Simplify 0 into 0 8.333 * [backup-simplify]: Simplify (- 0) into 0 8.333 * [backup-simplify]: Simplify (+ 0 0) into 0 8.334 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (- 1.0 (cos (/ 1 x))))) into (- 1.0 (cos (/ 1 x))) 8.334 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 8.334 * [backup-simplify]: Simplify (- 0) into 0 8.334 * [backup-simplify]: Simplify (+ 0 0) into 0 8.335 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- 1.0 (cos (/ 1 x)))))) into 0 8.335 * [backup-simplify]: Simplify 0 into 0 8.335 * [backup-simplify]: Simplify (- 0) into 0 8.335 * [backup-simplify]: Simplify (+ 0 0) into 0 8.336 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))) into 0 8.336 * [backup-simplify]: Simplify 0 into 0 8.336 * [backup-simplify]: Simplify (- 0) into 0 8.336 * [backup-simplify]: Simplify (+ 0 0) into 0 8.337 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))) into 0 8.337 * [backup-simplify]: Simplify 0 into 0 8.338 * [backup-simplify]: Simplify (- 0) into 0 8.338 * [backup-simplify]: Simplify (+ 0 0) into 0 8.339 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))))) into 0 8.339 * [backup-simplify]: Simplify 0 into 0 8.339 * [backup-simplify]: Simplify (- 0) into 0 8.339 * [backup-simplify]: Simplify (+ 0 0) into 0 8.341 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))))) into 0 8.341 * [backup-simplify]: Simplify 0 into 0 8.341 * [backup-simplify]: Simplify (- 0) into 0 8.341 * [backup-simplify]: Simplify (+ 0 0) into 0 8.343 * [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 8.343 * [backup-simplify]: Simplify 0 into 0 8.343 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (/ 1 x)) into (/ (- 1.0 (cos x)) x) 8.343 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (- x)))) (/ 1 (- x))) into (* -1 (* (- 1.0 (cos (/ -1 x))) x)) 8.343 * [approximate]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in (x) around 0 8.343 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 8.343 * [taylor]: Taking taylor expansion of -1 in x 8.343 * [backup-simplify]: Simplify -1 into -1 8.343 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 8.343 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 8.343 * [taylor]: Taking taylor expansion of 1.0 in x 8.343 * [backup-simplify]: Simplify 1.0 into 1.0 8.343 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 8.343 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.343 * [taylor]: Taking taylor expansion of -1 in x 8.343 * [backup-simplify]: Simplify -1 into -1 8.343 * [taylor]: Taking taylor expansion of x in x 8.343 * [backup-simplify]: Simplify 0 into 0 8.343 * [backup-simplify]: Simplify 1 into 1 8.344 * [backup-simplify]: Simplify (/ -1 1) into -1 8.344 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 8.344 * [taylor]: Taking taylor expansion of x in x 8.344 * [backup-simplify]: Simplify 0 into 0 8.344 * [backup-simplify]: Simplify 1 into 1 8.344 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 8.344 * [taylor]: Taking taylor expansion of -1 in x 8.344 * [backup-simplify]: Simplify -1 into -1 8.344 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 8.344 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 8.344 * [taylor]: Taking taylor expansion of 1.0 in x 8.344 * [backup-simplify]: Simplify 1.0 into 1.0 8.344 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 8.344 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.344 * [taylor]: Taking taylor expansion of -1 in x 8.344 * [backup-simplify]: Simplify -1 into -1 8.344 * [taylor]: Taking taylor expansion of x in x 8.344 * [backup-simplify]: Simplify 0 into 0 8.344 * [backup-simplify]: Simplify 1 into 1 8.344 * [backup-simplify]: Simplify (/ -1 1) into -1 8.344 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 8.344 * [taylor]: Taking taylor expansion of x in x 8.344 * [backup-simplify]: Simplify 0 into 0 8.344 * [backup-simplify]: Simplify 1 into 1 8.344 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 8.344 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 8.345 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 x))) 0) into 0 8.345 * [backup-simplify]: Simplify (* -1 0) into 0 8.345 * [backup-simplify]: Simplify 0 into 0 8.345 * [backup-simplify]: Simplify (- 0) into 0 8.345 * [backup-simplify]: Simplify (+ 0 0) into 0 8.346 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 1) (* 0 0)) into (- 1.0 (cos (/ -1 x))) 8.346 * [backup-simplify]: Simplify (+ (* -1 (- 1.0 (cos (/ -1 x)))) (* 0 0)) into (- (cos (/ -1 x)) 1.0) 8.346 * [backup-simplify]: Simplify (- (cos (/ -1 x)) 1.0) into (- (cos (/ -1 x)) 1.0) 8.347 * [backup-simplify]: Simplify (- 0) into 0 8.347 * [backup-simplify]: Simplify (+ 0 0) into 0 8.347 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 1) (* 0 0))) into 0 8.348 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))) into 0 8.348 * [backup-simplify]: Simplify 0 into 0 8.348 * [backup-simplify]: Simplify (- 0) into 0 8.348 * [backup-simplify]: Simplify (+ 0 0) into 0 8.349 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.350 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))) into 0 8.350 * [backup-simplify]: Simplify 0 into 0 8.350 * [backup-simplify]: Simplify (- 0) into 0 8.350 * [backup-simplify]: Simplify (+ 0 0) into 0 8.351 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.352 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))))) into 0 8.352 * [backup-simplify]: Simplify 0 into 0 8.352 * [backup-simplify]: Simplify (- 0) into 0 8.352 * [backup-simplify]: Simplify (+ 0 0) into 0 8.353 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 8.354 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))))) into 0 8.354 * [backup-simplify]: Simplify 0 into 0 8.354 * [backup-simplify]: Simplify (- 0) into 0 8.354 * [backup-simplify]: Simplify (+ 0 0) into 0 8.355 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 8.357 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))))))) into 0 8.357 * [backup-simplify]: Simplify 0 into 0 8.357 * [backup-simplify]: Simplify (- 0) into 0 8.357 * [backup-simplify]: Simplify (+ 0 0) into 0 8.358 * [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 8.359 * [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 8.359 * [backup-simplify]: Simplify 0 into 0 8.360 * [backup-simplify]: Simplify (* (- (cos (/ -1 (/ 1 (- x)))) 1.0) (/ 1 (- x))) into (* -1 (/ (- (cos x) 1.0) x)) 8.360 * * * [progress]: simplifying candidates 8.363 * [simplify]: Simplifying: (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma 1 1.0 (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma 1 1.0 (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma 1 1.0 (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (expm1 (/ (/ (- 1.0 (cos x)) x) x)) (log1p (/ (/ (- 1.0 (cos x)) x) 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) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) (* (cbrt x) (cbrt x))) (/ (/ (cbrt (- 1.0 (cos x))) x) (cbrt x)) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) (sqrt x)) (/ (/ (cbrt (- 1.0 (cos x))) x) (sqrt x)) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) 1) (/ (/ (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))) (* (cbrt x) (cbrt x))) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) 1) (/ (/ (sqrt (- 1.0 (cos x))) (cbrt x)) x) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (cbrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) 1) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) x) (/ (/ (sqrt (- 1.0 (cos x))) 1) (* (cbrt x) (cbrt 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))) (* (cbrt x) (cbrt x))) (sqrt x)) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (sqrt x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) 1) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) x) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (cbrt x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (sqrt x)) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (sqrt x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) 1) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) x) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) (* (cbrt x) (cbrt x))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) x) (cbrt x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) (sqrt x)) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) x) (sqrt x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) 1) (/ (/ (- (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) (/ (/ (- 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) (expm1 (/ (- 1.0 (cos x)) x)) (log1p (/ (- 1.0 (cos x)) 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))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (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 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) (/ (- 1.0 (cos x)) x) (* -1 (/ (- (cos x) 1.0) x)) 8.369 * * [simplify]: Extracting # 0 : cost 0 8.369 * * [simplify]: Extracting # 1 : cost 0 8.369 * * [simplify]: Extracting # 2 : cost 0 8.370 * * [simplify]: Extracting # 3 : cost 0 8.370 * * [simplify]: Extracting # 4 : cost 0 8.371 * * [simplify]: Extracting # 5 : cost 0 8.371 * * [simplify]: Extracting # 6 : cost 0 8.371 * * [simplify]: Extracting # 7 : cost 0 8.372 * * [simplify]: Extracting # 8 : cost 0 8.372 * * [simplify]: Extracting # 9 : cost 0 8.372 * * [simplify]: iteration 0 : 259 enodes (cost 2577 ) 8.440 * * [simplify]: Extracting # 0 : cost 0 8.441 * * [simplify]: Extracting # 1 : cost 0 8.442 * * [simplify]: Extracting # 2 : cost 0 8.442 * * [simplify]: Extracting # 3 : cost 0 8.443 * * [simplify]: Extracting # 4 : cost 0 8.444 * * [simplify]: iteration 1 : 583 enodes (cost 2358 ) 8.752 * * [simplify]: Extracting # 0 : cost 0 8.755 * * [simplify]: Extracting # 1 : cost 0 8.757 * * [simplify]: Extracting # 2 : cost 0 8.759 * * [simplify]: Extracting # 3 : cost 0 8.761 * * [simplify]: Extracting # 4 : cost 0 8.764 * * [simplify]: iteration 2 : 1473 enodes (cost 2183 ) 9.710 * * [simplify]: Extracting # 0 : cost 0 9.718 * * [simplify]: Extracting # 1 : cost 0 9.724 * * [simplify]: Extracting # 2 : cost 0 9.729 * * [simplify]: Extracting # 3 : cost 0 9.734 * * [simplify]: Extracting # 4 : cost 0 9.741 * * [simplify]: iteration 3 : 4779 enodes (cost 2121 ) 11.014 * * [simplify]: Extracting # 0 : cost 0 11.026 * * [simplify]: iteration done: 5000 enodes (cost 2121 ) 11.028 * [simplify]: Simplified to: (- (pow (cbrt 1.0) 3) (cos x)) 0 (- (pow (cbrt 1.0) 3) (cos x)) 0 (- (pow (cbrt 1.0) 3) (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (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))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (fma 1.0 1.0 (* (cos x) (+ 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ (cos x) 1.0) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (expm1 (/ (/ (- 1.0 (cos x)) x) x)) (log1p (/ (/ (- 1.0 (cos x)) x) x)) (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)) (pow (/ (/ (- 1.0 (cos x)) x) x) 3) (pow (/ (/ (- 1.0 (cos x)) x) x) 3) (* (cbrt (/ (/ (- 1.0 (cos x)) x) x)) (cbrt (/ (/ (- 1.0 (cos x)) x) x))) (cbrt (/ (/ (- 1.0 (cos x)) x) x)) (pow (/ (/ (- 1.0 (cos x)) x) x) 3) (sqrt (/ (/ (- 1.0 (cos x)) x) x)) (sqrt (/ (/ (- 1.0 (cos x)) x) x)) (/ (- (cos x) 1.0) 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))) (/ (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)) (/ (sqrt (/ (- 1.0 (cos x)) x)) x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (pow (cbrt x) 3) (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))) (sqrt x)) (cbrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (/ (cbrt (- 1.0 (cos x))) (cbrt x)) x) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (sqrt x)) (/ (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (cbrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 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 (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (/ (cbrt (- 1.0 (cos x))) (cbrt 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 (- 1.0 (cos x)))) (/ (/ (cbrt (- 1.0 (cos x))) x) x) (/ (/ (sqrt (- 1.0 (cos x))) (pow (cbrt x) 3)) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (sqrt 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))) (* (cbrt x) (cbrt x))) (sqrt 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))) 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)) (/ (/ (sqrt (- 1.0 (cos x))) x) (sqrt x)) (sqrt (- 1.0 (cos x))) (/ (/ (sqrt (- 1.0 (cos x))) x) x) (/ (/ 1 (pow (cbrt x) 3)) (cbrt x)) (/ (/ (- 1.0 (cos x)) (cbrt x)) (cbrt x)) (/ (/ 1 (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (sqrt x)) (cbrt x)) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ 1 (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (sqrt x)) (cbrt x)) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) (sqrt x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) (sqrt x)) x) 1 (/ (/ (- 1.0 (cos x)) x) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (pow (cbrt x) 3) (cbrt x))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (cbrt x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (sqrt x)) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (cbrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) x) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (sqrt x)) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (cbrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) x) (+ (sqrt 1.0) (sqrt (cos x))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) x) x) (/ (/ 1 (pow (cbrt x) 3)) (cbrt x)) (/ (/ (- 1.0 (cos x)) (cbrt x)) (cbrt x)) (/ (/ 1 (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (sqrt x)) (cbrt x)) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ 1 (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (sqrt x)) (cbrt x)) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) (sqrt x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) (sqrt x)) 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)) (sqrt x)) 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 (/ (- 1.0 (cos x)) x)) (/ (/ (- 1.0 (cos x)) x) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (sqrt x)) 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 (/ (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)) (pow x 2) (pow x 2) (expm1 (/ (- 1.0 (cos x)) x)) (log1p (/ (- 1.0 (cos x)) x)) (log (/ (- 1.0 (cos x)) x)) (log (/ (- 1.0 (cos x)) x)) (exp (/ (- 1.0 (cos x)) x)) (pow (/ (- 1.0 (cos x)) x) 3) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (cbrt (/ (- 1.0 (cos x)) x)) (pow (/ (- 1.0 (cos x)) x) 3) (sqrt (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (- (cos x) 1.0) (- 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)))) (/ (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))) (/ (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 (/ (- 1.0 (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))) (/ (- (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 (/ (- 1.0 (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)) (/ 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 (fma 1.0 1.0 (* (cos x) (+ 1.0 (cos x))))) (* x (+ 1.0 (cos x))) (fma (* x x) 1/2 (fma (pow x 6) 1/720 (* -1/24 (pow x 4)))) (- 1.0 (cos x)) (- 1.0 (cos x)) (fma -1/24 (* x x) (fma 1/720 (pow x 4) 1/2)) (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (- 1.0 (cos x)) x) x) (fma 1/2 x (fma (pow x 5) 1/720 (* (pow x 3) -1/24))) (/ (- 1.0 (cos x)) x) (- (/ (- (cos x) 1.0) x)) 11.029 * * * [progress]: adding candidates to table 11.352 * [progress]: [Phase 3 of 3] Extracting. 11.352 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 11.355 * * * [regime-changes]: Trying 1 branch expressions: (x) 11.355 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # #) 11.413 * * * [regime]: Found split indices: #