43.699 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.096 * * * [progress]: [2/2] Setting up program. 0.101 * [progress]: [Phase 2 of 3] Improving. 0.101 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.101 * [simplify]: Simplifying: (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (hypot 1 x)))))) 0.102 * * [simplify]: iteration 1: (9 enodes) 0.106 * * [simplify]: iteration 2: (19 enodes) 0.111 * * [simplify]: iteration 3: (23 enodes) 0.116 * * [simplify]: iteration 4: (25 enodes) 0.120 * * [simplify]: Extracting #0: cost 1 inf + 0 0.120 * * [simplify]: Extracting #1: cost 4 inf + 0 0.120 * * [simplify]: Extracting #2: cost 4 inf + 1 0.120 * * [simplify]: Extracting #3: cost 8 inf + 1 0.120 * * [simplify]: Extracting #4: cost 8 inf + 2 0.120 * * [simplify]: Extracting #5: cost 9 inf + 2 0.121 * * [simplify]: Extracting #6: cost 0 inf + 1204 0.121 * * [simplify]: Extracting #7: cost 0 inf + 1144 0.121 * [simplify]: Simplified to: (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 0.126 * * [progress]: iteration 1 / 4 0.127 * * * [progress]: picking best candidate 0.129 * * * * [pick]: Picked # 0.129 * * * [progress]: localizing error 0.169 * * * [progress]: generating rewritten candidates 0.169 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.200 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2 2) 0.200 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 2) 0.204 * * * [progress]: generating series expansions 0.204 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.204 * [backup-simplify]: Simplify (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) 0.205 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in (x) around 0 0.205 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x 0.205 * [taylor]: Taking taylor expansion of 1 in x 0.205 * [backup-simplify]: Simplify 1 into 1 0.205 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.205 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.205 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.205 * [taylor]: Taking taylor expansion of 1/2 in x 0.205 * [backup-simplify]: Simplify 1/2 into 1/2 0.205 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.205 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.205 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.205 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.205 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.205 * [taylor]: Taking taylor expansion of 1 in x 0.205 * [backup-simplify]: Simplify 1 into 1 0.205 * [taylor]: Taking taylor expansion of 1 in x 0.205 * [backup-simplify]: Simplify 1 into 1 0.205 * [taylor]: Taking taylor expansion of (* x x) in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 1 into 1 0.205 * [taylor]: Taking taylor expansion of x in x 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 1 into 1 0.206 * [backup-simplify]: Simplify (* 1 1) into 1 0.206 * [backup-simplify]: Simplify (* 0 0) into 0 0.206 * [backup-simplify]: Simplify (+ 1 0) into 1 0.206 * [backup-simplify]: Simplify (sqrt 1) into 1 0.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.207 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.207 * [backup-simplify]: Simplify (+ 0 0) into 0 0.208 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.208 * [backup-simplify]: Simplify (/ 1 1) into 1 0.208 * [taylor]: Taking taylor expansion of 1/2 in x 0.208 * [backup-simplify]: Simplify 1/2 into 1/2 0.208 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.209 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.209 * [backup-simplify]: Simplify (sqrt 1) into 1 0.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.210 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.210 * [backup-simplify]: Simplify (+ 0 0) into 0 0.210 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.211 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x 0.211 * [taylor]: Taking taylor expansion of 1 in x 0.211 * [backup-simplify]: Simplify 1 into 1 0.211 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.211 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.211 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.211 * [taylor]: Taking taylor expansion of 1/2 in x 0.211 * [backup-simplify]: Simplify 1/2 into 1/2 0.211 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.211 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.211 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.211 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.211 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.211 * [taylor]: Taking taylor expansion of 1 in x 0.211 * [backup-simplify]: Simplify 1 into 1 0.211 * [taylor]: Taking taylor expansion of 1 in x 0.211 * [backup-simplify]: Simplify 1 into 1 0.211 * [taylor]: Taking taylor expansion of (* x x) in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 1 into 1 0.211 * [taylor]: Taking taylor expansion of x in x 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 1 into 1 0.211 * [backup-simplify]: Simplify (* 1 1) into 1 0.211 * [backup-simplify]: Simplify (* 0 0) into 0 0.212 * [backup-simplify]: Simplify (+ 1 0) into 1 0.212 * [backup-simplify]: Simplify (sqrt 1) into 1 0.212 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.213 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.213 * [backup-simplify]: Simplify (+ 0 0) into 0 0.213 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.214 * [backup-simplify]: Simplify (/ 1 1) into 1 0.214 * [taylor]: Taking taylor expansion of 1/2 in x 0.214 * [backup-simplify]: Simplify 1/2 into 1/2 0.214 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.214 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.214 * [backup-simplify]: Simplify (sqrt 1) into 1 0.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.215 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.215 * [backup-simplify]: Simplify (+ 0 0) into 0 0.216 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.216 * [backup-simplify]: Simplify (- 1) into -1 0.216 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.216 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify (- 0) into 0 0.217 * [backup-simplify]: Simplify (+ 0 0) into 0 0.217 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.218 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.218 * [backup-simplify]: Simplify (+ 0 1) into 1 0.219 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.220 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.221 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.221 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 0.221 * [backup-simplify]: Simplify (- -1/8) into 1/8 0.222 * [backup-simplify]: Simplify (+ 0 1/8) into 1/8 0.222 * [backup-simplify]: Simplify 1/8 into 1/8 0.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.223 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.223 * [backup-simplify]: Simplify (+ 0 0) into 0 0.224 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 0.227 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 0.227 * [backup-simplify]: Simplify (+ 0 0) into 0 0.228 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 0.228 * [backup-simplify]: Simplify (- 0) into 0 0.229 * [backup-simplify]: Simplify (+ 0 0) into 0 0.229 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.231 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.232 * [backup-simplify]: Simplify (+ 0 0) into 0 0.233 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 0.236 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 0.237 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 0.238 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 0.239 * [backup-simplify]: Simplify (- 11/128) into -11/128 0.239 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 0.239 * [backup-simplify]: Simplify -11/128 into -11/128 0.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.247 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.247 * [backup-simplify]: Simplify (+ 0 0) into 0 0.249 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 0.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 0.254 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 0.255 * [backup-simplify]: Simplify (+ 0 0) into 0 0.256 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 11/128)) (* 2 (* -1/8 0)))) (* 2 1)) into 0 0.257 * [backup-simplify]: Simplify (- 0) into 0 0.257 * [backup-simplify]: Simplify (+ 0 0) into 0 0.257 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.260 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.260 * [backup-simplify]: Simplify (+ 0 0) into 0 0.262 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 0.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/16 1)) (* 0 (/ 0 1)) (* -1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* 3/8 (/ 1/2 1)) (* 0 (/ 0 1)))) into -5/16 0.266 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 0.266 * [backup-simplify]: Simplify (+ -5/32 0) into -5/32 0.267 * [backup-simplify]: Simplify (/ (- -5/32 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -1/8 11/128)))) (* 2 1)) into -69/1024 0.268 * [backup-simplify]: Simplify (- -69/1024) into 69/1024 0.268 * [backup-simplify]: Simplify (+ 0 69/1024) into 69/1024 0.268 * [backup-simplify]: Simplify 69/1024 into 69/1024 0.268 * [backup-simplify]: Simplify (+ (* 69/1024 (pow x 6)) (+ (* -11/128 (pow x 4)) (* 1/8 (pow x 2)))) into (- (+ (* 1/8 (pow x 2)) (* 69/1024 (pow x 6))) (* 11/128 (pow x 4))) 0.268 * [backup-simplify]: Simplify (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x)))))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) 0.268 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in (x) around 0 0.268 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 0.268 * [taylor]: Taking taylor expansion of 1 in x 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.268 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.268 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.268 * [taylor]: Taking taylor expansion of 1/2 in x 0.268 * [backup-simplify]: Simplify 1/2 into 1/2 0.268 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.268 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.269 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.269 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.269 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.269 * [taylor]: Taking taylor expansion of 1 in x 0.269 * [backup-simplify]: Simplify 1 into 1 0.269 * [taylor]: Taking taylor expansion of 1 in x 0.269 * [backup-simplify]: Simplify 1 into 1 0.269 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.269 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 1 into 1 0.269 * [backup-simplify]: Simplify (/ 1 1) into 1 0.269 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 1 into 1 0.269 * [backup-simplify]: Simplify (/ 1 1) into 1 0.270 * [backup-simplify]: Simplify (* 1 1) into 1 0.270 * [backup-simplify]: Simplify (+ 0 1) into 1 0.270 * [backup-simplify]: Simplify (sqrt 1) into 1 0.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.271 * [backup-simplify]: Simplify (+ 0 0) into 0 0.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.272 * [backup-simplify]: Simplify (/ 1 1) into 1 0.272 * [taylor]: Taking taylor expansion of 1/2 in x 0.272 * [backup-simplify]: Simplify 1/2 into 1/2 0.272 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.273 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.273 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.273 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.274 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.274 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 0.274 * [taylor]: Taking taylor expansion of 1 in x 0.274 * [backup-simplify]: Simplify 1 into 1 0.274 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.274 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.274 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.274 * [taylor]: Taking taylor expansion of 1/2 in x 0.274 * [backup-simplify]: Simplify 1/2 into 1/2 0.274 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.274 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.274 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.274 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.274 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.274 * [taylor]: Taking taylor expansion of 1 in x 0.275 * [backup-simplify]: Simplify 1 into 1 0.275 * [taylor]: Taking taylor expansion of 1 in x 0.275 * [backup-simplify]: Simplify 1 into 1 0.275 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.275 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 1 into 1 0.275 * [backup-simplify]: Simplify (/ 1 1) into 1 0.275 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 1 into 1 0.275 * [backup-simplify]: Simplify (/ 1 1) into 1 0.276 * [backup-simplify]: Simplify (* 1 1) into 1 0.276 * [backup-simplify]: Simplify (+ 0 1) into 1 0.276 * [backup-simplify]: Simplify (sqrt 1) into 1 0.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.278 * [backup-simplify]: Simplify (+ 0 0) into 0 0.278 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.278 * [backup-simplify]: Simplify (/ 1 1) into 1 0.278 * [taylor]: Taking taylor expansion of 1/2 in x 0.278 * [backup-simplify]: Simplify 1/2 into 1/2 0.278 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.279 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.279 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.279 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.280 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.281 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 0.282 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/2))) into (- 1 (sqrt 1/2)) 0.282 * [backup-simplify]: Simplify (- 1 (sqrt 1/2)) into (- 1 (sqrt 1/2)) 0.283 * [backup-simplify]: Simplify (- (/ 1/4 (sqrt 1/2))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.285 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (sqrt 1/2))))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.287 * [backup-simplify]: Simplify (- (* 1/4 (/ 1 (sqrt 1/2)))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.288 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.288 * [backup-simplify]: Simplify (+ 0 0) into 0 0.291 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.292 * [backup-simplify]: Simplify (- (/ -1/32 (pow (sqrt 1/2) 3))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.295 * [backup-simplify]: Simplify (+ 0 (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.296 * [backup-simplify]: Simplify (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) into (/ 1/32 (pow (sqrt 1/2) 3)) 0.299 * [backup-simplify]: Simplify (+ (* (/ 1/32 (pow (sqrt 1/2) 3)) (pow (/ 1 x) 2)) (+ (* (- (* 1/4 (/ 1 (sqrt 1/2)))) (/ 1 x)) (- 1 (sqrt 1/2)))) into (- (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) 1) (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (sqrt 1/2))) 0.299 * [backup-simplify]: Simplify (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) 0.299 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in (x) around 0 0.299 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 0.299 * [taylor]: Taking taylor expansion of 1 in x 0.299 * [backup-simplify]: Simplify 1 into 1 0.299 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.299 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.299 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.299 * [taylor]: Taking taylor expansion of 1/2 in x 0.299 * [backup-simplify]: Simplify 1/2 into 1/2 0.299 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.299 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.299 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.299 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.299 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.299 * [taylor]: Taking taylor expansion of 1 in x 0.299 * [backup-simplify]: Simplify 1 into 1 0.299 * [taylor]: Taking taylor expansion of 1 in x 0.300 * [backup-simplify]: Simplify 1 into 1 0.300 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.300 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.300 * [taylor]: Taking taylor expansion of -1 in x 0.300 * [backup-simplify]: Simplify -1 into -1 0.300 * [taylor]: Taking taylor expansion of x in x 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify 1 into 1 0.300 * [backup-simplify]: Simplify (/ -1 1) into -1 0.300 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.300 * [taylor]: Taking taylor expansion of -1 in x 0.300 * [backup-simplify]: Simplify -1 into -1 0.300 * [taylor]: Taking taylor expansion of x in x 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify 1 into 1 0.300 * [backup-simplify]: Simplify (/ -1 1) into -1 0.300 * [backup-simplify]: Simplify (* -1 -1) into 1 0.301 * [backup-simplify]: Simplify (+ 0 1) into 1 0.301 * [backup-simplify]: Simplify (sqrt 1) into 1 0.301 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.302 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.302 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.303 * [backup-simplify]: Simplify (+ 0 0) into 0 0.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.303 * [backup-simplify]: Simplify (/ 1 1) into 1 0.303 * [taylor]: Taking taylor expansion of 1/2 in x 0.303 * [backup-simplify]: Simplify 1/2 into 1/2 0.304 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.304 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.304 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.304 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.305 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.305 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 0.305 * [taylor]: Taking taylor expansion of 1 in x 0.305 * [backup-simplify]: Simplify 1 into 1 0.305 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.305 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.305 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.305 * [taylor]: Taking taylor expansion of 1/2 in x 0.305 * [backup-simplify]: Simplify 1/2 into 1/2 0.305 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.305 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.305 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.305 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.305 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.306 * [taylor]: Taking taylor expansion of 1 in x 0.306 * [backup-simplify]: Simplify 1 into 1 0.306 * [taylor]: Taking taylor expansion of 1 in x 0.306 * [backup-simplify]: Simplify 1 into 1 0.306 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.306 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.306 * [taylor]: Taking taylor expansion of -1 in x 0.306 * [backup-simplify]: Simplify -1 into -1 0.306 * [taylor]: Taking taylor expansion of x in x 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 1 into 1 0.306 * [backup-simplify]: Simplify (/ -1 1) into -1 0.306 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.306 * [taylor]: Taking taylor expansion of -1 in x 0.306 * [backup-simplify]: Simplify -1 into -1 0.306 * [taylor]: Taking taylor expansion of x in x 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 1 into 1 0.306 * [backup-simplify]: Simplify (/ -1 1) into -1 0.307 * [backup-simplify]: Simplify (* -1 -1) into 1 0.307 * [backup-simplify]: Simplify (+ 0 1) into 1 0.307 * [backup-simplify]: Simplify (sqrt 1) into 1 0.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.308 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.309 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.309 * [backup-simplify]: Simplify (+ 0 0) into 0 0.310 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.310 * [backup-simplify]: Simplify (/ 1 1) into 1 0.310 * [taylor]: Taking taylor expansion of 1/2 in x 0.310 * [backup-simplify]: Simplify 1/2 into 1/2 0.311 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.311 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.311 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.312 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.313 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.314 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 0.316 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/2))) into (- 1 (sqrt 1/2)) 0.317 * [backup-simplify]: Simplify (- 1 (sqrt 1/2)) into (- 1 (sqrt 1/2)) 0.318 * [backup-simplify]: Simplify (- (/ 1/4 (sqrt 1/2))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.322 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (sqrt 1/2))))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.325 * [backup-simplify]: Simplify (- (* 1/4 (/ 1 (sqrt 1/2)))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.326 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.327 * [backup-simplify]: Simplify (+ 0 0) into 0 0.332 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.333 * [backup-simplify]: Simplify (- (/ -1/32 (pow (sqrt 1/2) 3))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.335 * [backup-simplify]: Simplify (+ 0 (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.337 * [backup-simplify]: Simplify (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) into (/ 1/32 (pow (sqrt 1/2) 3)) 0.340 * [backup-simplify]: Simplify (+ (* (/ 1/32 (pow (sqrt 1/2) 3)) (pow (/ 1 (- x)) 2)) (+ (* (- (* 1/4 (/ 1 (sqrt 1/2)))) (/ 1 (- x))) (- 1 (sqrt 1/2)))) into (- (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) 1)) (sqrt 1/2)) 0.340 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2 2) 0.340 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 0.340 * [approximate]: Taking taylor expansion of (hypot 1 x) in (x) around 0 0.340 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.340 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.340 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.340 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.340 * [taylor]: Taking taylor expansion of 1 in x 0.340 * [backup-simplify]: Simplify 1 into 1 0.340 * [taylor]: Taking taylor expansion of 1 in x 0.340 * [backup-simplify]: Simplify 1 into 1 0.340 * [taylor]: Taking taylor expansion of (* x x) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify 1 into 1 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify 1 into 1 0.341 * [backup-simplify]: Simplify (* 1 1) into 1 0.341 * [backup-simplify]: Simplify (* 0 0) into 0 0.341 * [backup-simplify]: Simplify (+ 1 0) into 1 0.341 * [backup-simplify]: Simplify (sqrt 1) into 1 0.342 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.342 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.342 * [backup-simplify]: Simplify (+ 0 0) into 0 0.343 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.343 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.343 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.343 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.343 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.343 * [taylor]: Taking taylor expansion of 1 in x 0.343 * [backup-simplify]: Simplify 1 into 1 0.343 * [taylor]: Taking taylor expansion of 1 in x 0.343 * [backup-simplify]: Simplify 1 into 1 0.343 * [taylor]: Taking taylor expansion of (* x x) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 1 into 1 0.343 * [taylor]: Taking taylor expansion of x in x 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 1 into 1 0.343 * [backup-simplify]: Simplify (* 1 1) into 1 0.343 * [backup-simplify]: Simplify (* 0 0) into 0 0.344 * [backup-simplify]: Simplify (+ 1 0) into 1 0.344 * [backup-simplify]: Simplify (sqrt 1) into 1 0.346 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.346 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.346 * [backup-simplify]: Simplify (+ 0 0) into 0 0.347 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.347 * [backup-simplify]: Simplify 1 into 1 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.348 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.348 * [backup-simplify]: Simplify (+ 0 1) into 1 0.349 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.349 * [backup-simplify]: Simplify 1/2 into 1/2 0.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.350 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.350 * [backup-simplify]: Simplify (+ 0 0) into 0 0.351 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.352 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.352 * [backup-simplify]: Simplify (+ 0 0) into 0 0.353 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.353 * [backup-simplify]: Simplify -1/8 into -1/8 0.353 * [backup-simplify]: Simplify (+ (* -1/8 (pow x 4)) (+ (* 1/2 (pow x 2)) 1)) into (- (+ (* 1/2 (pow x 2)) 1) (* 1/8 (pow x 4))) 0.353 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 0.353 * [approximate]: Taking taylor expansion of (hypot 1 (/ 1 x)) in (x) around 0 0.354 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.354 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.354 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.354 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.354 * [taylor]: Taking taylor expansion of 1 in x 0.354 * [backup-simplify]: Simplify 1 into 1 0.354 * [taylor]: Taking taylor expansion of 1 in x 0.354 * [backup-simplify]: Simplify 1 into 1 0.354 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.354 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 1 into 1 0.354 * [backup-simplify]: Simplify (/ 1 1) into 1 0.354 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 1 into 1 0.354 * [backup-simplify]: Simplify (/ 1 1) into 1 0.355 * [backup-simplify]: Simplify (* 1 1) into 1 0.355 * [backup-simplify]: Simplify (+ 0 1) into 1 0.355 * [backup-simplify]: Simplify (sqrt 1) into 1 0.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.357 * [backup-simplify]: Simplify (+ 0 0) into 0 0.357 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.357 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.357 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.357 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.357 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.357 * [taylor]: Taking taylor expansion of 1 in x 0.357 * [backup-simplify]: Simplify 1 into 1 0.357 * [taylor]: Taking taylor expansion of 1 in x 0.357 * [backup-simplify]: Simplify 1 into 1 0.357 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.357 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.357 * [taylor]: Taking taylor expansion of x in x 0.357 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify 1 into 1 0.357 * [backup-simplify]: Simplify (/ 1 1) into 1 0.357 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.357 * [taylor]: Taking taylor expansion of x in x 0.357 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify 1 into 1 0.358 * [backup-simplify]: Simplify (/ 1 1) into 1 0.358 * [backup-simplify]: Simplify (* 1 1) into 1 0.358 * [backup-simplify]: Simplify (+ 0 1) into 1 0.358 * [backup-simplify]: Simplify (sqrt 1) into 1 0.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.360 * [backup-simplify]: Simplify (+ 0 0) into 0 0.361 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.361 * [backup-simplify]: Simplify 1 into 1 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify (* 1 1) into 1 0.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.364 * [backup-simplify]: Simplify (+ 1 0) into 1 0.365 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.366 * [backup-simplify]: Simplify 1/2 into 1/2 0.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.370 * [backup-simplify]: Simplify (+ 0 0) into 0 0.371 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.371 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.376 * [backup-simplify]: Simplify (+ 0 0) into 0 0.377 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.377 * [backup-simplify]: Simplify -1/8 into -1/8 0.378 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 x) 3)) (+ (* 1/2 (/ 1 x)) (* 1 (/ 1 (/ 1 x))))) into (- (+ x (* 1/2 (/ 1 x))) (* 1/8 (/ 1 (pow x 3)))) 0.378 * [backup-simplify]: Simplify (hypot 1 (/ 1 (- x))) into (hypot 1 (/ -1 x)) 0.378 * [approximate]: Taking taylor expansion of (hypot 1 (/ -1 x)) in (x) around 0 0.378 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.378 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.378 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.378 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.378 * [taylor]: Taking taylor expansion of 1 in x 0.378 * [backup-simplify]: Simplify 1 into 1 0.378 * [taylor]: Taking taylor expansion of 1 in x 0.378 * [backup-simplify]: Simplify 1 into 1 0.378 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.378 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.378 * [taylor]: Taking taylor expansion of -1 in x 0.378 * [backup-simplify]: Simplify -1 into -1 0.378 * [taylor]: Taking taylor expansion of x in x 0.378 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify 1 into 1 0.379 * [backup-simplify]: Simplify (/ -1 1) into -1 0.379 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.379 * [taylor]: Taking taylor expansion of -1 in x 0.379 * [backup-simplify]: Simplify -1 into -1 0.379 * [taylor]: Taking taylor expansion of x in x 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify 1 into 1 0.379 * [backup-simplify]: Simplify (/ -1 1) into -1 0.380 * [backup-simplify]: Simplify (* -1 -1) into 1 0.380 * [backup-simplify]: Simplify (+ 0 1) into 1 0.380 * [backup-simplify]: Simplify (sqrt 1) into 1 0.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.383 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.383 * [backup-simplify]: Simplify (+ 0 0) into 0 0.384 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.384 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.384 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.384 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.384 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.384 * [taylor]: Taking taylor expansion of 1 in x 0.384 * [backup-simplify]: Simplify 1 into 1 0.384 * [taylor]: Taking taylor expansion of 1 in x 0.384 * [backup-simplify]: Simplify 1 into 1 0.384 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.384 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.384 * [taylor]: Taking taylor expansion of -1 in x 0.384 * [backup-simplify]: Simplify -1 into -1 0.384 * [taylor]: Taking taylor expansion of x in x 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 1 into 1 0.385 * [backup-simplify]: Simplify (/ -1 1) into -1 0.385 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.385 * [taylor]: Taking taylor expansion of -1 in x 0.385 * [backup-simplify]: Simplify -1 into -1 0.385 * [taylor]: Taking taylor expansion of x in x 0.385 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify 1 into 1 0.385 * [backup-simplify]: Simplify (/ -1 1) into -1 0.386 * [backup-simplify]: Simplify (* -1 -1) into 1 0.386 * [backup-simplify]: Simplify (+ 0 1) into 1 0.386 * [backup-simplify]: Simplify (sqrt 1) into 1 0.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.388 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.389 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.390 * [backup-simplify]: Simplify (+ 0 0) into 0 0.391 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.391 * [backup-simplify]: Simplify 1 into 1 0.391 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify (* 1 1) into 1 0.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.394 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.395 * [backup-simplify]: Simplify (+ 1 0) into 1 0.395 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.396 * [backup-simplify]: Simplify 1/2 into 1/2 0.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.398 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.399 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.399 * [backup-simplify]: Simplify (+ 0 0) into 0 0.401 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.401 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.403 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.404 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.405 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.405 * [backup-simplify]: Simplify (+ 0 0) into 0 0.406 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.406 * [backup-simplify]: Simplify -1/8 into -1/8 0.407 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 (- x)) 3)) (+ (* 1/2 (/ 1 (- x))) (* 1 (/ 1 (/ 1 (- x)))))) into (- (* 1/8 (/ 1 (pow x 3))) (+ x (* 1/2 (/ 1 x)))) 0.407 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 2) 0.407 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 0.407 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 0.407 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 0.407 * [taylor]: Taking taylor expansion of 1/2 in x 0.407 * [backup-simplify]: Simplify 1/2 into 1/2 0.407 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.407 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.407 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.407 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.407 * [taylor]: Taking taylor expansion of 1 in x 0.407 * [backup-simplify]: Simplify 1 into 1 0.407 * [taylor]: Taking taylor expansion of 1 in x 0.407 * [backup-simplify]: Simplify 1 into 1 0.407 * [taylor]: Taking taylor expansion of (* x x) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify 1 into 1 0.407 * [taylor]: Taking taylor expansion of x in x 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify 1 into 1 0.408 * [backup-simplify]: Simplify (* 1 1) into 1 0.408 * [backup-simplify]: Simplify (* 0 0) into 0 0.409 * [backup-simplify]: Simplify (+ 1 0) into 1 0.409 * [backup-simplify]: Simplify (sqrt 1) into 1 0.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.410 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.411 * [backup-simplify]: Simplify (+ 0 0) into 0 0.412 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.412 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.412 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 0.412 * [taylor]: Taking taylor expansion of 1/2 in x 0.412 * [backup-simplify]: Simplify 1/2 into 1/2 0.412 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.412 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.412 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.412 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.412 * [taylor]: Taking taylor expansion of 1 in x 0.412 * [backup-simplify]: Simplify 1 into 1 0.412 * [taylor]: Taking taylor expansion of 1 in x 0.412 * [backup-simplify]: Simplify 1 into 1 0.412 * [taylor]: Taking taylor expansion of (* x x) in x 0.413 * [taylor]: Taking taylor expansion of x in x 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 1 into 1 0.413 * [taylor]: Taking taylor expansion of x in x 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 1 into 1 0.413 * [backup-simplify]: Simplify (* 1 1) into 1 0.413 * [backup-simplify]: Simplify (* 0 0) into 0 0.414 * [backup-simplify]: Simplify (+ 1 0) into 1 0.414 * [backup-simplify]: Simplify (sqrt 1) into 1 0.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.416 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.416 * [backup-simplify]: Simplify (+ 0 0) into 0 0.417 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.417 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.417 * [backup-simplify]: Simplify 1/2 into 1/2 0.418 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.418 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.420 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.420 * [backup-simplify]: Simplify (+ 0 1) into 1 0.421 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.423 * [backup-simplify]: Simplify -1/4 into -1/4 0.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.425 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.425 * [backup-simplify]: Simplify (+ 0 0) into 0 0.427 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.428 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.431 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.431 * [backup-simplify]: Simplify (+ 0 0) into 0 0.433 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.435 * [backup-simplify]: Simplify 3/16 into 3/16 0.435 * [backup-simplify]: Simplify (+ (* 3/16 (pow x 4)) (+ (* -1/4 (pow x 2)) 1/2)) into (- (+ (* 3/16 (pow x 4)) 1/2) (* 1/4 (pow x 2))) 0.435 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 0.435 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 0.435 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 0.435 * [taylor]: Taking taylor expansion of 1/2 in x 0.435 * [backup-simplify]: Simplify 1/2 into 1/2 0.435 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.435 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.435 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.435 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.435 * [taylor]: Taking taylor expansion of 1 in x 0.435 * [backup-simplify]: Simplify 1 into 1 0.435 * [taylor]: Taking taylor expansion of 1 in x 0.436 * [backup-simplify]: Simplify 1 into 1 0.436 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.436 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.436 * [taylor]: Taking taylor expansion of x in x 0.436 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify 1 into 1 0.436 * [backup-simplify]: Simplify (/ 1 1) into 1 0.436 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.436 * [taylor]: Taking taylor expansion of x in x 0.436 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify 1 into 1 0.437 * [backup-simplify]: Simplify (/ 1 1) into 1 0.437 * [backup-simplify]: Simplify (* 1 1) into 1 0.437 * [backup-simplify]: Simplify (+ 0 1) into 1 0.438 * [backup-simplify]: Simplify (sqrt 1) into 1 0.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.440 * [backup-simplify]: Simplify (+ 0 0) into 0 0.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.442 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.442 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 0.442 * [taylor]: Taking taylor expansion of 1/2 in x 0.442 * [backup-simplify]: Simplify 1/2 into 1/2 0.442 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.442 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.442 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.442 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.442 * [taylor]: Taking taylor expansion of 1 in x 0.442 * [backup-simplify]: Simplify 1 into 1 0.442 * [taylor]: Taking taylor expansion of 1 in x 0.442 * [backup-simplify]: Simplify 1 into 1 0.442 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.442 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 1 into 1 0.443 * [backup-simplify]: Simplify (/ 1 1) into 1 0.443 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.443 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify 1 into 1 0.443 * [backup-simplify]: Simplify (/ 1 1) into 1 0.443 * [backup-simplify]: Simplify (* 1 1) into 1 0.444 * [backup-simplify]: Simplify (+ 0 1) into 1 0.444 * [backup-simplify]: Simplify (sqrt 1) into 1 0.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.447 * [backup-simplify]: Simplify (+ 0 0) into 0 0.448 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.448 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.448 * [backup-simplify]: Simplify 1/2 into 1/2 0.449 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.449 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify (* 1 1) into 1 0.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.453 * [backup-simplify]: Simplify (+ 1 0) into 1 0.454 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.455 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.455 * [backup-simplify]: Simplify -1/4 into -1/4 0.456 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.460 * [backup-simplify]: Simplify (+ 0 0) into 0 0.461 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.463 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.463 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.466 * [backup-simplify]: Simplify (+ 0 0) into 0 0.467 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.468 * [backup-simplify]: Simplify 3/16 into 3/16 0.468 * [backup-simplify]: Simplify (+ (* 3/16 (pow (/ 1 x) 5)) (+ (* -1/4 (pow (/ 1 x) 3)) (* 1/2 (/ 1 x)))) into (- (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x))) (* 1/4 (/ 1 (pow x 3)))) 0.468 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 0.468 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 0.468 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 0.468 * [taylor]: Taking taylor expansion of 1/2 in x 0.468 * [backup-simplify]: Simplify 1/2 into 1/2 0.468 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.468 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.468 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.468 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.468 * [taylor]: Taking taylor expansion of 1 in x 0.468 * [backup-simplify]: Simplify 1 into 1 0.468 * [taylor]: Taking taylor expansion of 1 in x 0.469 * [backup-simplify]: Simplify 1 into 1 0.469 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.469 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.469 * [taylor]: Taking taylor expansion of -1 in x 0.469 * [backup-simplify]: Simplify -1 into -1 0.469 * [taylor]: Taking taylor expansion of x in x 0.469 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify 1 into 1 0.469 * [backup-simplify]: Simplify (/ -1 1) into -1 0.469 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.469 * [taylor]: Taking taylor expansion of -1 in x 0.469 * [backup-simplify]: Simplify -1 into -1 0.469 * [taylor]: Taking taylor expansion of x in x 0.469 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify 1 into 1 0.469 * [backup-simplify]: Simplify (/ -1 1) into -1 0.469 * [backup-simplify]: Simplify (* -1 -1) into 1 0.470 * [backup-simplify]: Simplify (+ 0 1) into 1 0.470 * [backup-simplify]: Simplify (sqrt 1) into 1 0.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.471 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.471 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.472 * [backup-simplify]: Simplify (+ 0 0) into 0 0.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.472 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.472 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 0.472 * [taylor]: Taking taylor expansion of 1/2 in x 0.472 * [backup-simplify]: Simplify 1/2 into 1/2 0.472 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.472 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.472 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.472 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.472 * [taylor]: Taking taylor expansion of 1 in x 0.472 * [backup-simplify]: Simplify 1 into 1 0.472 * [taylor]: Taking taylor expansion of 1 in x 0.472 * [backup-simplify]: Simplify 1 into 1 0.472 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.473 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.473 * [taylor]: Taking taylor expansion of -1 in x 0.473 * [backup-simplify]: Simplify -1 into -1 0.473 * [taylor]: Taking taylor expansion of x in x 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 1 into 1 0.473 * [backup-simplify]: Simplify (/ -1 1) into -1 0.473 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.473 * [taylor]: Taking taylor expansion of -1 in x 0.473 * [backup-simplify]: Simplify -1 into -1 0.473 * [taylor]: Taking taylor expansion of x in x 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 1 into 1 0.473 * [backup-simplify]: Simplify (/ -1 1) into -1 0.473 * [backup-simplify]: Simplify (* -1 -1) into 1 0.474 * [backup-simplify]: Simplify (+ 0 1) into 1 0.474 * [backup-simplify]: Simplify (sqrt 1) into 1 0.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.477 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.477 * [backup-simplify]: Simplify (+ 0 0) into 0 0.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.478 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.478 * [backup-simplify]: Simplify 1/2 into 1/2 0.478 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.478 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify (* 1 1) into 1 0.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.480 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.480 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.481 * [backup-simplify]: Simplify (+ 1 0) into 1 0.481 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.482 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.482 * [backup-simplify]: Simplify -1/4 into -1/4 0.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.484 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.484 * [backup-simplify]: Simplify (+ 0 0) into 0 0.485 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.486 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.487 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.487 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.488 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.488 * [backup-simplify]: Simplify (+ 0 0) into 0 0.489 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.490 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.490 * [backup-simplify]: Simplify 3/16 into 3/16 0.490 * [backup-simplify]: Simplify (+ (* 3/16 (pow (/ 1 (- x)) 5)) (+ (* -1/4 (pow (/ 1 (- x)) 3)) (* 1/2 (/ 1 (- x))))) into (- (* 1/4 (/ 1 (pow x 3))) (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x)))) 0.491 * * * [progress]: simplifying candidates 0.491 * * * * [progress]: [ 1 / 93 ] simplifiying candidate # 0.491 * * * * [progress]: [ 2 / 93 ] simplifiying candidate # 0.491 * * * * [progress]: [ 3 / 93 ] simplifiying candidate # 0.491 * * * * [progress]: [ 4 / 93 ] simplifiying candidate # 0.491 * * * * [progress]: [ 5 / 93 ] simplifiying candidate # 0.491 * * * * [progress]: [ 6 / 93 ] simplifiying candidate # 0.491 * * * * [progress]: [ 7 / 93 ] simplifiying candidate # 0.491 * * * * [progress]: [ 8 / 93 ] simplifiying candidate # 0.491 * * * * [progress]: [ 9 / 93 ] simplifiying candidate # 0.491 * * * * [progress]: [ 10 / 93 ] simplifiying candidate # 0.491 * * * * [progress]: [ 11 / 93 ] simplifiying candidate # 0.491 * * * * [progress]: [ 12 / 93 ] simplifiying candidate # 0.491 * * * * [progress]: [ 13 / 93 ] simplifiying candidate # 0.491 * * * * [progress]: [ 14 / 93 ] simplifiying candidate # 0.491 * * * * [progress]: [ 15 / 93 ] simplifiying candidate # 0.491 * * * * [progress]: [ 16 / 93 ] simplifiying candidate # 0.491 * * * * [progress]: [ 17 / 93 ] simplifiying candidate # 0.491 * * * * [progress]: [ 18 / 93 ] simplifiying candidate # 0.491 * * * * [progress]: [ 19 / 93 ] simplifiying candidate # 0.492 * * * * [progress]: [ 20 / 93 ] simplifiying candidate # 0.492 * * * * [progress]: [ 21 / 93 ] simplifiying candidate # 0.492 * * * * [progress]: [ 22 / 93 ] simplifiying candidate # 0.492 * * * * [progress]: [ 23 / 93 ] simplifiying candidate # 0.492 * * * * [progress]: [ 24 / 93 ] simplifiying candidate # 0.492 * * * * [progress]: [ 25 / 93 ] simplifiying candidate # 0.492 * * * * [progress]: [ 26 / 93 ] simplifiying candidate # 0.492 * * * * [progress]: [ 27 / 93 ] simplifiying candidate # 0.492 * * * * [progress]: [ 28 / 93 ] simplifiying candidate # 0.492 * * * * [progress]: [ 29 / 93 ] simplifiying candidate # 0.492 * * * * [progress]: [ 30 / 93 ] simplifiying candidate # 0.492 * * * * [progress]: [ 31 / 93 ] simplifiying candidate # 0.492 * * * * [progress]: [ 32 / 93 ] simplifiying candidate # 0.492 * * * * [progress]: [ 33 / 93 ] simplifiying candidate # 0.492 * * * * [progress]: [ 34 / 93 ] simplifiying candidate # 0.492 * * * * [progress]: [ 35 / 93 ] simplifiying candidate # 0.492 * * * * [progress]: [ 36 / 93 ] simplifiying candidate # 0.492 * * * * [progress]: [ 37 / 93 ] simplifiying candidate # 0.492 * * * * [progress]: [ 38 / 93 ] simplifiying candidate # 0.492 * * * * [progress]: [ 39 / 93 ] simplifiying candidate # 0.492 * * * * [progress]: [ 40 / 93 ] simplifiying candidate # 0.492 * * * * [progress]: [ 41 / 93 ] simplifiying candidate # 0.492 * * * * [progress]: [ 42 / 93 ] simplifiying candidate # 0.492 * * * * [progress]: [ 43 / 93 ] simplifiying candidate # 0.492 * * * * [progress]: [ 44 / 93 ] simplifiying candidate # 0.492 * * * * [progress]: [ 45 / 93 ] simplifiying candidate # 0.493 * * * * [progress]: [ 46 / 93 ] simplifiying candidate # 0.493 * * * * [progress]: [ 47 / 93 ] simplifiying candidate # 0.493 * * * * [progress]: [ 48 / 93 ] simplifiying candidate # 0.493 * * * * [progress]: [ 49 / 93 ] simplifiying candidate # 0.493 * * * * [progress]: [ 50 / 93 ] simplifiying candidate # 0.493 * * * * [progress]: [ 51 / 93 ] simplifiying candidate # 0.493 * * * * [progress]: [ 52 / 93 ] simplifiying candidate # 0.493 * * * * [progress]: [ 53 / 93 ] simplifiying candidate # 0.493 * * * * [progress]: [ 54 / 93 ] simplifiying candidate # 0.493 * * * * [progress]: [ 55 / 93 ] simplifiying candidate # 0.493 * * * * [progress]: [ 56 / 93 ] simplifiying candidate # 0.493 * * * * [progress]: [ 57 / 93 ] simplifiying candidate # 0.493 * * * * [progress]: [ 58 / 93 ] simplifiying candidate # 0.493 * * * * [progress]: [ 59 / 93 ] simplifiying candidate # 0.493 * * * * [progress]: [ 60 / 93 ] simplifiying candidate # 0.493 * * * * [progress]: [ 61 / 93 ] simplifiying candidate # 0.493 * * * * [progress]: [ 62 / 93 ] simplifiying candidate # 0.493 * * * * [progress]: [ 63 / 93 ] simplifiying candidate # 0.493 * * * * [progress]: [ 64 / 93 ] simplifiying candidate # 0.493 * * * * [progress]: [ 65 / 93 ] simplifiying candidate # 0.493 * * * * [progress]: [ 66 / 93 ] simplifiying candidate # 0.493 * * * * [progress]: [ 67 / 93 ] simplifiying candidate # 0.493 * * * * [progress]: [ 68 / 93 ] simplifiying candidate # 0.493 * * * * [progress]: [ 69 / 93 ] simplifiying candidate # 0.493 * * * * [progress]: [ 70 / 93 ] simplifiying candidate # 0.493 * * * * [progress]: [ 71 / 93 ] simplifiying candidate # 0.493 * * * * [progress]: [ 72 / 93 ] simplifiying candidate # 0.494 * * * * [progress]: [ 73 / 93 ] simplifiying candidate # 0.494 * * * * [progress]: [ 74 / 93 ] simplifiying candidate # 0.494 * * * * [progress]: [ 75 / 93 ] simplifiying candidate # 0.494 * * * * [progress]: [ 76 / 93 ] simplifiying candidate # 0.494 * * * * [progress]: [ 77 / 93 ] simplifiying candidate # 0.494 * * * * [progress]: [ 78 / 93 ] simplifiying candidate # 0.494 * * * * [progress]: [ 79 / 93 ] simplifiying candidate # 0.494 * * * * [progress]: [ 80 / 93 ] simplifiying candidate # 0.494 * * * * [progress]: [ 81 / 93 ] simplifiying candidate # 0.494 * * * * [progress]: [ 82 / 93 ] simplifiying candidate # 0.494 * * * * [progress]: [ 83 / 93 ] simplifiying candidate # 0.494 * * * * [progress]: [ 84 / 93 ] simplifiying candidate # 0.494 * * * * [progress]: [ 85 / 93 ] simplifiying candidate # 0.494 * * * * [progress]: [ 86 / 93 ] simplifiying candidate # 0.494 * * * * [progress]: [ 87 / 93 ] simplifiying candidate # 0.494 * * * * [progress]: [ 88 / 93 ] simplifiying candidate # 0.494 * * * * [progress]: [ 89 / 93 ] simplifiying candidate # 0.494 * * * * [progress]: [ 90 / 93 ] simplifiying candidate # 0.494 * * * * [progress]: [ 91 / 93 ] simplifiying candidate # 0.494 * * * * [progress]: [ 92 / 93 ] simplifiying candidate # 0.494 * * * * [progress]: [ 93 / 93 ] simplifiying candidate # 0.495 * [simplify]: Simplifying: (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1)))) (fma (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt 1) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1)))) (fma (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt 1) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (fma (sqrt 1) (sqrt 1) (- (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 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(cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma 1 1 (- (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma 1 1 (- (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma 1 1 (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1)))) (fma (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt 1) (* (sqrt (+ 1/2 (/ 1/2 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1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (hypot 1 x)) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) (/ 1 1) (/ 1/2 (hypot 1 x)) (/ 1 (hypot 1 x)) (/ (hypot 1 x) 1/2) (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (sqrt (hypot 1 x))) (/ 1/2 1) (/ (hypot 1 x) (cbrt 1/2)) (/ (hypot 1 x) (sqrt 1/2)) (/ (hypot 1 x) 1/2) (- (+ (* 1/8 (pow x 2)) (* 69/1024 (pow x 6))) (* 11/128 (pow x 4))) (- (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) 1) (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (sqrt 1/2))) (- (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) 1)) (sqrt 1/2)) (- (+ (* 1/2 (pow x 2)) 1) (* 1/8 (pow x 4))) (- (+ x (* 1/2 (/ 1 x))) (* 1/8 (/ 1 (pow x 3)))) (- (* 1/8 (/ 1 (pow x 3))) (+ x (* 1/2 (/ 1 x)))) (- (+ (* 3/16 (pow x 4)) 1/2) (* 1/4 (pow x 2))) (- (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x))) (* 1/4 (/ 1 (pow x 3)))) (- (* 1/4 (/ 1 (pow x 3))) (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x)))) 0.499 * * [simplify]: iteration 1: (186 enodes) 0.644 * * [simplify]: iteration 2: (411 enodes) 0.943 * * [simplify]: iteration 3: (936 enodes) 2.005 * * [simplify]: Extracting #0: cost 70 inf + 0 2.007 * * [simplify]: Extracting #1: cost 312 inf + 44 2.011 * * [simplify]: Extracting #2: cost 487 inf + 3758 2.027 * * [simplify]: Extracting #3: cost 301 inf + 35344 2.054 * * [simplify]: Extracting #4: cost 190 inf + 60694 2.091 * * [simplify]: Extracting #5: cost 70 inf + 100356 2.137 * * [simplify]: Extracting #6: cost 3 inf + 125578 2.161 * * [simplify]: Extracting #7: cost 0 inf + 126821 2.210 * [simplify]: Simplified to: (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (+ (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (+ (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (cbrt (+ 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x)))))) (+ (+ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1) (- 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1) (- 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1) (- 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1) (- 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (expm1 (hypot 1 x)) (log1p (hypot 1 x)) (fma x x 1) (log (hypot 1 x)) (exp (hypot 1 x)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)) (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))) (sqrt (hypot 1 x)) (sqrt (hypot 1 x)) (expm1 (/ 1/2 (hypot 1 x))) (log1p (/ 1/2 (hypot 1 x))) (log (/ 1/2 (hypot 1 x))) (log (/ 1/2 (hypot 1 x))) (exp (/ 1/2 (hypot 1 x))) (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (cbrt (/ 1/2 (hypot 1 x))) (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))) -1/2 (- (hypot 1 x)) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))) (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (hypot 1 x)) (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1/2) (/ (sqrt 1/2) (hypot 1 x)) (/ (/ 1 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) 1 (/ 1/2 (hypot 1 x)) (/ 1 (hypot 1 x)) (/ (hypot 1 x) 1/2) (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (sqrt (hypot 1 x))) 1/2 (/ (hypot 1 x) (cbrt 1/2)) (/ (hypot 1 x) (sqrt 1/2)) (/ (hypot 1 x) 1/2) (fma (* (* x (* x x)) (* x (* x x))) 69/1024 (* (* x x) (- 1/8 (* 11/128 (* x x))))) (- (+ 1 (/ 1/32 (* (* 1/2 (sqrt 1/2)) (* x x)))) (+ (sqrt 1/2) (/ 1/4 (* (sqrt 1/2) x)))) (+ (/ 1/4 (* (sqrt 1/2) x)) (+ (/ 1/32 (* (* 1/2 (sqrt 1/2)) (* x x))) (- 1 (sqrt 1/2)))) (fma (* (* x x) (* x x)) -1/8 (fma (* x x) 1/2 1)) (- (/ 1/2 x) (- (/ (/ 1/8 (* x x)) x) x)) (+ (- (/ -1/2 x) x) (/ (/ 1/8 (* x x)) x)) (fma -1/4 (* x x) (fma (* (* x x) (* x x)) 3/16 1/2)) (- (/ 1/2 x) (- (/ 1/4 (* (* x x) x)) (/ 3/16 (pow x 5)))) (- (/ 1/4 (* (* x x) x)) (+ (/ 1/2 x) (/ 3/16 (pow x 5)))) 2.220 * * * [progress]: adding candidates to table 2.988 * * [progress]: iteration 2 / 4 2.988 * * * [progress]: picking best candidate 2.992 * * * * [pick]: Picked # 2.993 * * * [progress]: localizing error 3.011 * * * [progress]: generating rewritten candidates 3.011 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 3.018 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 3.062 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 3.076 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2 2) 3.079 * * * [progress]: generating series expansions 3.079 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 3.079 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 x))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 3.079 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in (x) around 0 3.079 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 3.079 * [taylor]: Taking taylor expansion of 1/2 in x 3.079 * [backup-simplify]: Simplify 1/2 into 1/2 3.079 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 3.079 * [taylor]: Taking taylor expansion of 1/2 in x 3.079 * [backup-simplify]: Simplify 1/2 into 1/2 3.079 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 3.079 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.079 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.079 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.079 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.079 * [taylor]: Taking taylor expansion of 1 in x 3.079 * [backup-simplify]: Simplify 1 into 1 3.079 * [taylor]: Taking taylor expansion of 1 in x 3.079 * [backup-simplify]: Simplify 1 into 1 3.079 * [taylor]: Taking taylor expansion of (* x x) in x 3.079 * [taylor]: Taking taylor expansion of x in x 3.079 * [backup-simplify]: Simplify 0 into 0 3.079 * [backup-simplify]: Simplify 1 into 1 3.079 * [taylor]: Taking taylor expansion of x in x 3.079 * [backup-simplify]: Simplify 0 into 0 3.079 * [backup-simplify]: Simplify 1 into 1 3.080 * [backup-simplify]: Simplify (* 1 1) into 1 3.080 * [backup-simplify]: Simplify (* 0 0) into 0 3.080 * [backup-simplify]: Simplify (+ 1 0) into 1 3.081 * [backup-simplify]: Simplify (sqrt 1) into 1 3.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.081 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.082 * [backup-simplify]: Simplify (+ 0 0) into 0 3.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.082 * [backup-simplify]: Simplify (/ 1 1) into 1 3.082 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 3.082 * [taylor]: Taking taylor expansion of 1/2 in x 3.082 * [backup-simplify]: Simplify 1/2 into 1/2 3.082 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 3.082 * [taylor]: Taking taylor expansion of 1/2 in x 3.082 * [backup-simplify]: Simplify 1/2 into 1/2 3.082 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 3.082 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.082 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.082 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.082 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.083 * [taylor]: Taking taylor expansion of 1 in x 3.083 * [backup-simplify]: Simplify 1 into 1 3.083 * [taylor]: Taking taylor expansion of 1 in x 3.083 * [backup-simplify]: Simplify 1 into 1 3.083 * [taylor]: Taking taylor expansion of (* x x) in x 3.083 * [taylor]: Taking taylor expansion of x in x 3.083 * [backup-simplify]: Simplify 0 into 0 3.083 * [backup-simplify]: Simplify 1 into 1 3.083 * [taylor]: Taking taylor expansion of x in x 3.083 * [backup-simplify]: Simplify 0 into 0 3.083 * [backup-simplify]: Simplify 1 into 1 3.083 * [backup-simplify]: Simplify (* 1 1) into 1 3.083 * [backup-simplify]: Simplify (* 0 0) into 0 3.083 * [backup-simplify]: Simplify (+ 1 0) into 1 3.084 * [backup-simplify]: Simplify (sqrt 1) into 1 3.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.084 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.085 * [backup-simplify]: Simplify (+ 0 0) into 0 3.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.085 * [backup-simplify]: Simplify (/ 1 1) into 1 3.086 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.086 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.086 * [backup-simplify]: Simplify (+ 1/2 -1/2) into 0 3.086 * [backup-simplify]: Simplify 0 into 0 3.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.087 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.087 * [backup-simplify]: Simplify (- 0) into 0 3.087 * [backup-simplify]: Simplify (+ 0 0) into 0 3.087 * [backup-simplify]: Simplify 0 into 0 3.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.088 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.089 * [backup-simplify]: Simplify (+ 0 1) into 1 3.089 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 3.091 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 3.091 * [backup-simplify]: Simplify (- -1/4) into 1/4 3.091 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 3.091 * [backup-simplify]: Simplify 1/4 into 1/4 3.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.092 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 3.093 * [backup-simplify]: Simplify (+ 0 0) into 0 3.093 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 3.095 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 3.095 * [backup-simplify]: Simplify (- 0) into 0 3.095 * [backup-simplify]: Simplify (+ 0 0) into 0 3.095 * [backup-simplify]: Simplify 0 into 0 3.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.097 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.097 * [backup-simplify]: Simplify (+ 0 0) into 0 3.098 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 3.100 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 3.100 * [backup-simplify]: Simplify (- 3/16) into -3/16 3.100 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 3.100 * [backup-simplify]: Simplify -3/16 into -3/16 3.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.102 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 3.102 * [backup-simplify]: Simplify (+ 0 0) into 0 3.103 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 3.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 3.106 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 3.106 * [backup-simplify]: Simplify (- 0) into 0 3.106 * [backup-simplify]: Simplify (+ 0 0) into 0 3.107 * [backup-simplify]: Simplify 0 into 0 3.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.108 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 3.109 * [backup-simplify]: Simplify (+ 0 0) into 0 3.110 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 3.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/16 1)) (* 0 (/ 0 1)) (* -1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* 3/8 (/ 1/2 1)) (* 0 (/ 0 1)))) into -5/16 3.115 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 3.116 * [backup-simplify]: Simplify (- -5/32) into 5/32 3.116 * [backup-simplify]: Simplify (+ 0 5/32) into 5/32 3.116 * [backup-simplify]: Simplify 5/32 into 5/32 3.116 * [backup-simplify]: Simplify (+ (* 5/32 (pow x 6)) (+ (* -3/16 (pow x 4)) (* 1/4 (pow x 2)))) into (- (+ (* 1/4 (pow x 2)) (* 5/32 (pow x 6))) (* 3/16 (pow x 4))) 3.116 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 (/ 1 x)))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 3.116 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in (x) around 0 3.116 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 3.116 * [taylor]: Taking taylor expansion of 1/2 in x 3.116 * [backup-simplify]: Simplify 1/2 into 1/2 3.116 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 3.116 * [taylor]: Taking taylor expansion of 1/2 in x 3.116 * [backup-simplify]: Simplify 1/2 into 1/2 3.116 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 3.116 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.117 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.117 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.117 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.117 * [taylor]: Taking taylor expansion of 1 in x 3.117 * [backup-simplify]: Simplify 1 into 1 3.117 * [taylor]: Taking taylor expansion of 1 in x 3.117 * [backup-simplify]: Simplify 1 into 1 3.117 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.117 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.117 * [taylor]: Taking taylor expansion of x in x 3.117 * [backup-simplify]: Simplify 0 into 0 3.117 * [backup-simplify]: Simplify 1 into 1 3.117 * [backup-simplify]: Simplify (/ 1 1) into 1 3.117 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.117 * [taylor]: Taking taylor expansion of x in x 3.117 * [backup-simplify]: Simplify 0 into 0 3.117 * [backup-simplify]: Simplify 1 into 1 3.117 * [backup-simplify]: Simplify (/ 1 1) into 1 3.117 * [backup-simplify]: Simplify (* 1 1) into 1 3.118 * [backup-simplify]: Simplify (+ 0 1) into 1 3.118 * [backup-simplify]: Simplify (sqrt 1) into 1 3.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.119 * [backup-simplify]: Simplify (+ 0 0) into 0 3.120 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.120 * [backup-simplify]: Simplify (/ 1 1) into 1 3.120 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 3.120 * [taylor]: Taking taylor expansion of 1/2 in x 3.120 * [backup-simplify]: Simplify 1/2 into 1/2 3.120 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 3.120 * [taylor]: Taking taylor expansion of 1/2 in x 3.120 * [backup-simplify]: Simplify 1/2 into 1/2 3.120 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 3.120 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.120 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.120 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.120 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.120 * [taylor]: Taking taylor expansion of 1 in x 3.120 * [backup-simplify]: Simplify 1 into 1 3.120 * [taylor]: Taking taylor expansion of 1 in x 3.120 * [backup-simplify]: Simplify 1 into 1 3.120 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.120 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.120 * [taylor]: Taking taylor expansion of x in x 3.120 * [backup-simplify]: Simplify 0 into 0 3.120 * [backup-simplify]: Simplify 1 into 1 3.121 * [backup-simplify]: Simplify (/ 1 1) into 1 3.121 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.121 * [taylor]: Taking taylor expansion of x in x 3.121 * [backup-simplify]: Simplify 0 into 0 3.121 * [backup-simplify]: Simplify 1 into 1 3.121 * [backup-simplify]: Simplify (/ 1 1) into 1 3.121 * [backup-simplify]: Simplify (* 1 1) into 1 3.122 * [backup-simplify]: Simplify (+ 0 1) into 1 3.122 * [backup-simplify]: Simplify (sqrt 1) into 1 3.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.123 * [backup-simplify]: Simplify (+ 0 0) into 0 3.124 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.124 * [backup-simplify]: Simplify (/ 1 1) into 1 3.124 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.125 * [backup-simplify]: Simplify 1/2 into 1/2 3.125 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.125 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.125 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 3.125 * [backup-simplify]: Simplify -1/2 into -1/2 3.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.126 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.126 * [backup-simplify]: Simplify (- 0) into 0 3.127 * [backup-simplify]: Simplify (+ 0 0) into 0 3.127 * [backup-simplify]: Simplify 0 into 0 3.127 * [backup-simplify]: Simplify (* 1 1) into 1 3.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.129 * [backup-simplify]: Simplify (+ 1 0) into 1 3.130 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 3.132 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 3.133 * [backup-simplify]: Simplify (- -1/4) into 1/4 3.133 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 3.133 * [backup-simplify]: Simplify 1/4 into 1/4 3.133 * [backup-simplify]: Simplify (+ (* 1/4 (pow (/ 1 x) 3)) (+ (* -1/2 (/ 1 x)) 1/2)) into (- (+ (* 1/4 (/ 1 (pow x 3))) 1/2) (* 1/2 (/ 1 x))) 3.134 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 3.134 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in (x) around 0 3.134 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 3.134 * [taylor]: Taking taylor expansion of 1/2 in x 3.134 * [backup-simplify]: Simplify 1/2 into 1/2 3.134 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 3.134 * [taylor]: Taking taylor expansion of 1/2 in x 3.134 * [backup-simplify]: Simplify 1/2 into 1/2 3.134 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 3.134 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.134 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.134 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.134 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.134 * [taylor]: Taking taylor expansion of 1 in x 3.134 * [backup-simplify]: Simplify 1 into 1 3.134 * [taylor]: Taking taylor expansion of 1 in x 3.134 * [backup-simplify]: Simplify 1 into 1 3.134 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.134 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.134 * [taylor]: Taking taylor expansion of -1 in x 3.134 * [backup-simplify]: Simplify -1 into -1 3.134 * [taylor]: Taking taylor expansion of x in x 3.134 * [backup-simplify]: Simplify 0 into 0 3.134 * [backup-simplify]: Simplify 1 into 1 3.135 * [backup-simplify]: Simplify (/ -1 1) into -1 3.135 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.135 * [taylor]: Taking taylor expansion of -1 in x 3.135 * [backup-simplify]: Simplify -1 into -1 3.135 * [taylor]: Taking taylor expansion of x in x 3.135 * [backup-simplify]: Simplify 0 into 0 3.135 * [backup-simplify]: Simplify 1 into 1 3.135 * [backup-simplify]: Simplify (/ -1 1) into -1 3.135 * [backup-simplify]: Simplify (* -1 -1) into 1 3.136 * [backup-simplify]: Simplify (+ 0 1) into 1 3.136 * [backup-simplify]: Simplify (sqrt 1) into 1 3.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.138 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.139 * [backup-simplify]: Simplify (+ 0 0) into 0 3.139 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.140 * [backup-simplify]: Simplify (/ 1 1) into 1 3.140 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 3.140 * [taylor]: Taking taylor expansion of 1/2 in x 3.140 * [backup-simplify]: Simplify 1/2 into 1/2 3.140 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 3.140 * [taylor]: Taking taylor expansion of 1/2 in x 3.140 * [backup-simplify]: Simplify 1/2 into 1/2 3.140 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 3.140 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.140 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.140 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.140 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.140 * [taylor]: Taking taylor expansion of 1 in x 3.140 * [backup-simplify]: Simplify 1 into 1 3.140 * [taylor]: Taking taylor expansion of 1 in x 3.140 * [backup-simplify]: Simplify 1 into 1 3.140 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.140 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.140 * [taylor]: Taking taylor expansion of -1 in x 3.140 * [backup-simplify]: Simplify -1 into -1 3.140 * [taylor]: Taking taylor expansion of x in x 3.140 * [backup-simplify]: Simplify 0 into 0 3.140 * [backup-simplify]: Simplify 1 into 1 3.141 * [backup-simplify]: Simplify (/ -1 1) into -1 3.141 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.141 * [taylor]: Taking taylor expansion of -1 in x 3.141 * [backup-simplify]: Simplify -1 into -1 3.141 * [taylor]: Taking taylor expansion of x in x 3.141 * [backup-simplify]: Simplify 0 into 0 3.141 * [backup-simplify]: Simplify 1 into 1 3.141 * [backup-simplify]: Simplify (/ -1 1) into -1 3.142 * [backup-simplify]: Simplify (* -1 -1) into 1 3.142 * [backup-simplify]: Simplify (+ 0 1) into 1 3.143 * [backup-simplify]: Simplify (sqrt 1) into 1 3.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.144 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.145 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.145 * [backup-simplify]: Simplify (+ 0 0) into 0 3.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.146 * [backup-simplify]: Simplify (/ 1 1) into 1 3.147 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.147 * [backup-simplify]: Simplify 1/2 into 1/2 3.147 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.148 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.148 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 3.148 * [backup-simplify]: Simplify -1/2 into -1/2 3.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.150 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.150 * [backup-simplify]: Simplify (- 0) into 0 3.151 * [backup-simplify]: Simplify (+ 0 0) into 0 3.151 * [backup-simplify]: Simplify 0 into 0 3.151 * [backup-simplify]: Simplify (* 1 1) into 1 3.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.153 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.154 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 3.155 * [backup-simplify]: Simplify (+ 1 0) into 1 3.156 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 3.158 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 3.159 * [backup-simplify]: Simplify (- -1/4) into 1/4 3.159 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 3.159 * [backup-simplify]: Simplify 1/4 into 1/4 3.159 * [backup-simplify]: Simplify (+ (* 1/4 (pow (/ 1 (- x)) 3)) (+ (* -1/2 (/ 1 (- x))) 1/2)) into (- (+ (* 1/2 (/ 1 x)) 1/2) (* 1/4 (/ 1 (pow x 3)))) 3.159 * * * * [progress]: [ 2 / 4 ] generating series at (2) 3.160 * [backup-simplify]: Simplify (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) into (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) 3.160 * [approximate]: Taking taylor expansion of (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in (x) around 0 3.160 * [taylor]: Taking taylor expansion of (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x 3.160 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 3.160 * [taylor]: Taking taylor expansion of 1/2 in x 3.160 * [backup-simplify]: Simplify 1/2 into 1/2 3.160 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 3.160 * [taylor]: Taking taylor expansion of 1/2 in x 3.160 * [backup-simplify]: Simplify 1/2 into 1/2 3.160 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 3.160 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.160 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.160 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.160 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.160 * [taylor]: Taking taylor expansion of 1 in x 3.160 * [backup-simplify]: Simplify 1 into 1 3.160 * [taylor]: Taking taylor expansion of 1 in x 3.160 * [backup-simplify]: Simplify 1 into 1 3.160 * [taylor]: Taking taylor expansion of (* x x) in x 3.160 * [taylor]: Taking taylor expansion of x in x 3.160 * [backup-simplify]: Simplify 0 into 0 3.160 * [backup-simplify]: Simplify 1 into 1 3.160 * [taylor]: Taking taylor expansion of x in x 3.160 * [backup-simplify]: Simplify 0 into 0 3.160 * [backup-simplify]: Simplify 1 into 1 3.161 * [backup-simplify]: Simplify (* 1 1) into 1 3.161 * [backup-simplify]: Simplify (* 0 0) into 0 3.162 * [backup-simplify]: Simplify (+ 1 0) into 1 3.162 * [backup-simplify]: Simplify (sqrt 1) into 1 3.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.164 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.164 * [backup-simplify]: Simplify (+ 0 0) into 0 3.165 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.165 * [backup-simplify]: Simplify (/ 1 1) into 1 3.165 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 3.165 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 3.165 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 3.165 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 3.165 * [taylor]: Taking taylor expansion of 1/2 in x 3.165 * [backup-simplify]: Simplify 1/2 into 1/2 3.165 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 3.165 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.165 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.166 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.166 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.166 * [taylor]: Taking taylor expansion of 1 in x 3.166 * [backup-simplify]: Simplify 1 into 1 3.166 * [taylor]: Taking taylor expansion of 1 in x 3.166 * [backup-simplify]: Simplify 1 into 1 3.166 * [taylor]: Taking taylor expansion of (* x x) in x 3.166 * [taylor]: Taking taylor expansion of x in x 3.166 * [backup-simplify]: Simplify 0 into 0 3.166 * [backup-simplify]: Simplify 1 into 1 3.166 * [taylor]: Taking taylor expansion of x in x 3.166 * [backup-simplify]: Simplify 0 into 0 3.166 * [backup-simplify]: Simplify 1 into 1 3.166 * [backup-simplify]: Simplify (* 1 1) into 1 3.167 * [backup-simplify]: Simplify (* 0 0) into 0 3.167 * [backup-simplify]: Simplify (+ 1 0) into 1 3.167 * [backup-simplify]: Simplify (sqrt 1) into 1 3.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.169 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.169 * [backup-simplify]: Simplify (+ 0 0) into 0 3.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.170 * [backup-simplify]: Simplify (/ 1 1) into 1 3.170 * [taylor]: Taking taylor expansion of 1/2 in x 3.170 * [backup-simplify]: Simplify 1/2 into 1/2 3.171 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.171 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 3.172 * [backup-simplify]: Simplify (sqrt 1) into 1 3.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.173 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.174 * [backup-simplify]: Simplify (+ 0 0) into 0 3.175 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.175 * [taylor]: Taking taylor expansion of 1 in x 3.175 * [backup-simplify]: Simplify 1 into 1 3.175 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.175 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.176 * [backup-simplify]: Simplify (+ 1/2 -1/2) into 0 3.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.177 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.178 * [backup-simplify]: Simplify (- 0) into 0 3.178 * [backup-simplify]: Simplify (+ 0 0) into 0 3.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.180 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.180 * [backup-simplify]: Simplify (+ 0 1) into 1 3.181 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 3.183 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 3.184 * [backup-simplify]: Simplify (- -1/4) into 1/4 3.184 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 3.184 * [backup-simplify]: Simplify (+ 1 1) into 2 3.185 * [backup-simplify]: Simplify (/ 1/4 2) into 1/8 3.185 * [taylor]: Taking taylor expansion of (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x 3.185 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 3.185 * [taylor]: Taking taylor expansion of 1/2 in x 3.185 * [backup-simplify]: Simplify 1/2 into 1/2 3.185 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 3.185 * [taylor]: Taking taylor expansion of 1/2 in x 3.185 * [backup-simplify]: Simplify 1/2 into 1/2 3.185 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 3.185 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.185 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.185 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.185 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.185 * [taylor]: Taking taylor expansion of 1 in x 3.185 * [backup-simplify]: Simplify 1 into 1 3.185 * [taylor]: Taking taylor expansion of 1 in x 3.185 * [backup-simplify]: Simplify 1 into 1 3.185 * [taylor]: Taking taylor expansion of (* x x) in x 3.185 * [taylor]: Taking taylor expansion of x in x 3.185 * [backup-simplify]: Simplify 0 into 0 3.185 * [backup-simplify]: Simplify 1 into 1 3.185 * [taylor]: Taking taylor expansion of x in x 3.185 * [backup-simplify]: Simplify 0 into 0 3.185 * [backup-simplify]: Simplify 1 into 1 3.186 * [backup-simplify]: Simplify (* 1 1) into 1 3.186 * [backup-simplify]: Simplify (* 0 0) into 0 3.187 * [backup-simplify]: Simplify (+ 1 0) into 1 3.187 * [backup-simplify]: Simplify (sqrt 1) into 1 3.188 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.188 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.188 * [backup-simplify]: Simplify (+ 0 0) into 0 3.189 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.190 * [backup-simplify]: Simplify (/ 1 1) into 1 3.190 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 3.190 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 3.190 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 3.190 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 3.190 * [taylor]: Taking taylor expansion of 1/2 in x 3.190 * [backup-simplify]: Simplify 1/2 into 1/2 3.190 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 3.190 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.190 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.190 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.190 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.190 * [taylor]: Taking taylor expansion of 1 in x 3.190 * [backup-simplify]: Simplify 1 into 1 3.190 * [taylor]: Taking taylor expansion of 1 in x 3.190 * [backup-simplify]: Simplify 1 into 1 3.190 * [taylor]: Taking taylor expansion of (* x x) in x 3.190 * [taylor]: Taking taylor expansion of x in x 3.190 * [backup-simplify]: Simplify 0 into 0 3.190 * [backup-simplify]: Simplify 1 into 1 3.190 * [taylor]: Taking taylor expansion of x in x 3.190 * [backup-simplify]: Simplify 0 into 0 3.190 * [backup-simplify]: Simplify 1 into 1 3.190 * [backup-simplify]: Simplify (* 1 1) into 1 3.191 * [backup-simplify]: Simplify (* 0 0) into 0 3.191 * [backup-simplify]: Simplify (+ 1 0) into 1 3.192 * [backup-simplify]: Simplify (sqrt 1) into 1 3.192 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.193 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.193 * [backup-simplify]: Simplify (+ 0 0) into 0 3.194 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.194 * [backup-simplify]: Simplify (/ 1 1) into 1 3.194 * [taylor]: Taking taylor expansion of 1/2 in x 3.194 * [backup-simplify]: Simplify 1/2 into 1/2 3.195 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.195 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 3.195 * [backup-simplify]: Simplify (sqrt 1) into 1 3.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.197 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.197 * [backup-simplify]: Simplify (+ 0 0) into 0 3.197 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.197 * [taylor]: Taking taylor expansion of 1 in x 3.197 * [backup-simplify]: Simplify 1 into 1 3.198 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.198 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.198 * [backup-simplify]: Simplify (+ 1/2 -1/2) into 0 3.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.199 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.199 * [backup-simplify]: Simplify (- 0) into 0 3.200 * [backup-simplify]: Simplify (+ 0 0) into 0 3.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.201 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.201 * [backup-simplify]: Simplify (+ 0 1) into 1 3.201 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 3.203 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 3.203 * [backup-simplify]: Simplify (- -1/4) into 1/4 3.203 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 3.204 * [backup-simplify]: Simplify (+ 1 1) into 2 3.204 * [backup-simplify]: Simplify (/ 1/4 2) into 1/8 3.204 * [backup-simplify]: Simplify 1/8 into 1/8 3.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.205 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 3.205 * [backup-simplify]: Simplify (+ 0 0) into 0 3.206 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 3.208 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 3.208 * [backup-simplify]: Simplify (- 0) into 0 3.209 * [backup-simplify]: Simplify (+ 0 0) into 0 3.209 * [backup-simplify]: Simplify (+ 0 0) into 0 3.210 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/8 (/ 0 2)))) into 0 3.210 * [backup-simplify]: Simplify 0 into 0 3.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.212 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.212 * [backup-simplify]: Simplify (+ 0 0) into 0 3.213 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 3.215 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 3.215 * [backup-simplify]: Simplify (- 3/16) into -3/16 3.215 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 3.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.216 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.217 * [backup-simplify]: Simplify (+ 0 1) into 1 3.217 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 3.218 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 3.219 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 3.219 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 3.220 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 3.221 * [backup-simplify]: Simplify (- (/ -3/16 2) (+ (* 1/8 (/ -1/8 2)) (* 0 (/ 0 2)))) into -11/128 3.221 * [backup-simplify]: Simplify -11/128 into -11/128 3.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.222 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 3.222 * [backup-simplify]: Simplify (+ 0 0) into 0 3.223 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 3.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 3.227 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 3.228 * [backup-simplify]: Simplify (- 0) into 0 3.228 * [backup-simplify]: Simplify (+ 0 0) into 0 3.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.229 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 3.229 * [backup-simplify]: Simplify (+ 0 0) into 0 3.230 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 3.232 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 3.232 * [backup-simplify]: Simplify (+ 0 0) into 0 3.233 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 3.233 * [backup-simplify]: Simplify (+ 0 0) into 0 3.234 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/8 (/ 0 2)) (* 0 (/ -1/8 2)) (* -11/128 (/ 0 2)))) into 0 3.234 * [backup-simplify]: Simplify 0 into 0 3.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.236 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 3.236 * [backup-simplify]: Simplify (+ 0 0) into 0 3.237 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 3.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/16 1)) (* 0 (/ 0 1)) (* -1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* 3/8 (/ 1/2 1)) (* 0 (/ 0 1)))) into -5/16 3.240 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 3.240 * [backup-simplify]: Simplify (- -5/32) into 5/32 3.240 * [backup-simplify]: Simplify (+ 0 5/32) into 5/32 3.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.242 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.242 * [backup-simplify]: Simplify (+ 0 0) into 0 3.243 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 3.244 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 3.245 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 3.246 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 3.246 * [backup-simplify]: Simplify (+ 11/128 0) into 11/128 3.247 * [backup-simplify]: Simplify (- (/ 5/32 2) (+ (* 1/8 (/ 11/128 2)) (* 0 (/ 0 2)) (* -11/128 (/ -1/8 2)) (* 0 (/ 0 2)))) into 69/1024 3.247 * [backup-simplify]: Simplify 69/1024 into 69/1024 3.247 * [backup-simplify]: Simplify (+ (* 69/1024 (pow x 6)) (+ (* -11/128 (pow x 4)) (* 1/8 (pow x 2)))) into (- (+ (* 1/8 (pow x 2)) (* 69/1024 (pow x 6))) (* 11/128 (pow x 4))) 3.247 * [backup-simplify]: Simplify (/ (- 1/2 (/ 1/2 (hypot 1 (/ 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))))) into (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) 3.247 * [approximate]: Taking taylor expansion of (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in (x) around 0 3.248 * [taylor]: Taking taylor expansion of (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 3.248 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 3.248 * [taylor]: Taking taylor expansion of 1/2 in x 3.248 * [backup-simplify]: Simplify 1/2 into 1/2 3.248 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 3.248 * [taylor]: Taking taylor expansion of 1/2 in x 3.248 * [backup-simplify]: Simplify 1/2 into 1/2 3.248 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 3.248 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.248 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.248 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.248 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.248 * [taylor]: Taking taylor expansion of 1 in x 3.248 * [backup-simplify]: Simplify 1 into 1 3.248 * [taylor]: Taking taylor expansion of 1 in x 3.248 * [backup-simplify]: Simplify 1 into 1 3.248 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.248 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.248 * [taylor]: Taking taylor expansion of x in x 3.248 * [backup-simplify]: Simplify 0 into 0 3.248 * [backup-simplify]: Simplify 1 into 1 3.248 * [backup-simplify]: Simplify (/ 1 1) into 1 3.248 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.248 * [taylor]: Taking taylor expansion of x in x 3.248 * [backup-simplify]: Simplify 0 into 0 3.248 * [backup-simplify]: Simplify 1 into 1 3.248 * [backup-simplify]: Simplify (/ 1 1) into 1 3.249 * [backup-simplify]: Simplify (* 1 1) into 1 3.249 * [backup-simplify]: Simplify (+ 0 1) into 1 3.249 * [backup-simplify]: Simplify (sqrt 1) into 1 3.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.250 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.251 * [backup-simplify]: Simplify (+ 0 0) into 0 3.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.251 * [backup-simplify]: Simplify (/ 1 1) into 1 3.251 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 3.251 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 3.251 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 3.251 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 3.251 * [taylor]: Taking taylor expansion of 1/2 in x 3.251 * [backup-simplify]: Simplify 1/2 into 1/2 3.251 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 3.251 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.251 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.252 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.252 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.252 * [taylor]: Taking taylor expansion of 1 in x 3.252 * [backup-simplify]: Simplify 1 into 1 3.252 * [taylor]: Taking taylor expansion of 1 in x 3.252 * [backup-simplify]: Simplify 1 into 1 3.252 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.252 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.252 * [taylor]: Taking taylor expansion of x in x 3.252 * [backup-simplify]: Simplify 0 into 0 3.252 * [backup-simplify]: Simplify 1 into 1 3.252 * [backup-simplify]: Simplify (/ 1 1) into 1 3.252 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.252 * [taylor]: Taking taylor expansion of x in x 3.252 * [backup-simplify]: Simplify 0 into 0 3.252 * [backup-simplify]: Simplify 1 into 1 3.252 * [backup-simplify]: Simplify (/ 1 1) into 1 3.252 * [backup-simplify]: Simplify (* 1 1) into 1 3.253 * [backup-simplify]: Simplify (+ 0 1) into 1 3.253 * [backup-simplify]: Simplify (sqrt 1) into 1 3.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.254 * [backup-simplify]: Simplify (+ 0 0) into 0 3.255 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.255 * [backup-simplify]: Simplify (/ 1 1) into 1 3.255 * [taylor]: Taking taylor expansion of 1/2 in x 3.255 * [backup-simplify]: Simplify 1/2 into 1/2 3.255 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.256 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 3.256 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.256 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.257 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 3.257 * [taylor]: Taking taylor expansion of 1 in x 3.257 * [backup-simplify]: Simplify 1 into 1 3.258 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.258 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 3.259 * [backup-simplify]: Simplify (/ 1/2 (+ (sqrt 1/2) 1)) into (/ 1/2 (+ (sqrt 1/2) 1)) 3.259 * [taylor]: Taking taylor expansion of (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 3.259 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 3.259 * [taylor]: Taking taylor expansion of 1/2 in x 3.259 * [backup-simplify]: Simplify 1/2 into 1/2 3.259 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 3.259 * [taylor]: Taking taylor expansion of 1/2 in x 3.259 * [backup-simplify]: Simplify 1/2 into 1/2 3.259 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 3.259 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.259 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.260 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.260 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.260 * [taylor]: Taking taylor expansion of 1 in x 3.260 * [backup-simplify]: Simplify 1 into 1 3.260 * [taylor]: Taking taylor expansion of 1 in x 3.260 * [backup-simplify]: Simplify 1 into 1 3.260 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.260 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.260 * [taylor]: Taking taylor expansion of x in x 3.260 * [backup-simplify]: Simplify 0 into 0 3.260 * [backup-simplify]: Simplify 1 into 1 3.260 * [backup-simplify]: Simplify (/ 1 1) into 1 3.260 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.260 * [taylor]: Taking taylor expansion of x in x 3.260 * [backup-simplify]: Simplify 0 into 0 3.260 * [backup-simplify]: Simplify 1 into 1 3.260 * [backup-simplify]: Simplify (/ 1 1) into 1 3.260 * [backup-simplify]: Simplify (* 1 1) into 1 3.261 * [backup-simplify]: Simplify (+ 0 1) into 1 3.261 * [backup-simplify]: Simplify (sqrt 1) into 1 3.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.262 * [backup-simplify]: Simplify (+ 0 0) into 0 3.263 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.263 * [backup-simplify]: Simplify (/ 1 1) into 1 3.263 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 3.263 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 3.263 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 3.263 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 3.263 * [taylor]: Taking taylor expansion of 1/2 in x 3.263 * [backup-simplify]: Simplify 1/2 into 1/2 3.263 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 3.263 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.263 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.263 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.263 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.263 * [taylor]: Taking taylor expansion of 1 in x 3.263 * [backup-simplify]: Simplify 1 into 1 3.263 * [taylor]: Taking taylor expansion of 1 in x 3.263 * [backup-simplify]: Simplify 1 into 1 3.263 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.263 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.263 * [taylor]: Taking taylor expansion of x in x 3.263 * [backup-simplify]: Simplify 0 into 0 3.263 * [backup-simplify]: Simplify 1 into 1 3.264 * [backup-simplify]: Simplify (/ 1 1) into 1 3.264 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.264 * [taylor]: Taking taylor expansion of x in x 3.264 * [backup-simplify]: Simplify 0 into 0 3.264 * [backup-simplify]: Simplify 1 into 1 3.264 * [backup-simplify]: Simplify (/ 1 1) into 1 3.264 * [backup-simplify]: Simplify (* 1 1) into 1 3.264 * [backup-simplify]: Simplify (+ 0 1) into 1 3.265 * [backup-simplify]: Simplify (sqrt 1) into 1 3.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.266 * [backup-simplify]: Simplify (+ 0 0) into 0 3.267 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.267 * [backup-simplify]: Simplify (/ 1 1) into 1 3.267 * [taylor]: Taking taylor expansion of 1/2 in x 3.267 * [backup-simplify]: Simplify 1/2 into 1/2 3.267 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.267 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 3.268 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.268 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.269 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 3.269 * [taylor]: Taking taylor expansion of 1 in x 3.269 * [backup-simplify]: Simplify 1 into 1 3.269 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.270 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 3.271 * [backup-simplify]: Simplify (/ 1/2 (+ (sqrt 1/2) 1)) into (/ 1/2 (+ (sqrt 1/2) 1)) 3.272 * [backup-simplify]: Simplify (/ 1/2 (+ (sqrt 1/2) 1)) into (/ 1/2 (+ (sqrt 1/2) 1)) 3.272 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.272 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.273 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 3.273 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 3.280 * [backup-simplify]: Simplify (- (/ -1/2 (+ (sqrt 1/2) 1)) (+ (* (/ 1/2 (+ (sqrt 1/2) 1)) (/ (* 1/4 (/ 1 (sqrt 1/2))) (+ (sqrt 1/2) 1))))) into (- (+ (* 1/2 (/ 1 (+ (sqrt 1/2) 1))) (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))))) 3.286 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 1 (+ (sqrt 1/2) 1))) (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))))) into (- (+ (* 1/2 (/ 1 (+ (sqrt 1/2) 1))) (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))))) 3.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.287 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.288 * [backup-simplify]: Simplify (- 0) into 0 3.288 * [backup-simplify]: Simplify (+ 0 0) into 0 3.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.289 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.289 * [backup-simplify]: Simplify (+ 0 0) into 0 3.292 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 3.294 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 3.317 * [backup-simplify]: Simplify (- (/ 0 (+ (sqrt 1/2) 1)) (+ (* (/ 1/2 (+ (sqrt 1/2) 1)) (/ (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) 1))) (* (- (+ (* 1/2 (/ 1 (+ (sqrt 1/2) 1))) (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))))) (/ (* 1/4 (/ 1 (sqrt 1/2))) (+ (sqrt 1/2) 1))))) into (+ (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3)))) (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2)))))) 3.332 * [backup-simplify]: Simplify (+ (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3)))) (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2)))))) into (+ (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3)))) (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2)))))) 3.355 * [backup-simplify]: Simplify (+ (* (+ (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3)))) (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2)))))) (pow (/ 1 x) 2)) (+ (* (- (+ (* 1/2 (/ 1 (+ (sqrt 1/2) 1))) (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))))) (/ 1 x)) (/ 1/2 (+ (sqrt 1/2) 1)))) into (- (+ (* 1/8 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) (+ (* 1/32 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2))))) (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3))))) (* 1/2 (/ 1 (+ (sqrt 1/2) 1)))))) (+ (* 1/8 (/ 1 (* x (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) (* 1/2 (/ 1 (* x (+ (sqrt 1/2) 1)))))) 3.355 * [backup-simplify]: Simplify (/ (- 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))))) into (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) 3.355 * [approximate]: Taking taylor expansion of (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in (x) around 0 3.355 * [taylor]: Taking taylor expansion of (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 3.355 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 3.355 * [taylor]: Taking taylor expansion of 1/2 in x 3.355 * [backup-simplify]: Simplify 1/2 into 1/2 3.355 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 3.355 * [taylor]: Taking taylor expansion of 1/2 in x 3.355 * [backup-simplify]: Simplify 1/2 into 1/2 3.355 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 3.355 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.355 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.355 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.355 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.355 * [taylor]: Taking taylor expansion of 1 in x 3.355 * [backup-simplify]: Simplify 1 into 1 3.355 * [taylor]: Taking taylor expansion of 1 in x 3.355 * [backup-simplify]: Simplify 1 into 1 3.355 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.355 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.355 * [taylor]: Taking taylor expansion of -1 in x 3.356 * [backup-simplify]: Simplify -1 into -1 3.356 * [taylor]: Taking taylor expansion of x in x 3.356 * [backup-simplify]: Simplify 0 into 0 3.356 * [backup-simplify]: Simplify 1 into 1 3.356 * [backup-simplify]: Simplify (/ -1 1) into -1 3.356 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.356 * [taylor]: Taking taylor expansion of -1 in x 3.356 * [backup-simplify]: Simplify -1 into -1 3.356 * [taylor]: Taking taylor expansion of x in x 3.356 * [backup-simplify]: Simplify 0 into 0 3.356 * [backup-simplify]: Simplify 1 into 1 3.356 * [backup-simplify]: Simplify (/ -1 1) into -1 3.356 * [backup-simplify]: Simplify (* -1 -1) into 1 3.357 * [backup-simplify]: Simplify (+ 0 1) into 1 3.357 * [backup-simplify]: Simplify (sqrt 1) into 1 3.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.358 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.359 * [backup-simplify]: Simplify (+ 0 0) into 0 3.359 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.359 * [backup-simplify]: Simplify (/ 1 1) into 1 3.359 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 3.359 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 3.359 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 3.359 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 3.359 * [taylor]: Taking taylor expansion of 1/2 in x 3.359 * [backup-simplify]: Simplify 1/2 into 1/2 3.359 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 3.359 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.359 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.360 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.360 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.360 * [taylor]: Taking taylor expansion of 1 in x 3.360 * [backup-simplify]: Simplify 1 into 1 3.360 * [taylor]: Taking taylor expansion of 1 in x 3.360 * [backup-simplify]: Simplify 1 into 1 3.360 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.360 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.360 * [taylor]: Taking taylor expansion of -1 in x 3.360 * [backup-simplify]: Simplify -1 into -1 3.360 * [taylor]: Taking taylor expansion of x in x 3.360 * [backup-simplify]: Simplify 0 into 0 3.360 * [backup-simplify]: Simplify 1 into 1 3.360 * [backup-simplify]: Simplify (/ -1 1) into -1 3.360 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.360 * [taylor]: Taking taylor expansion of -1 in x 3.360 * [backup-simplify]: Simplify -1 into -1 3.360 * [taylor]: Taking taylor expansion of x in x 3.360 * [backup-simplify]: Simplify 0 into 0 3.360 * [backup-simplify]: Simplify 1 into 1 3.360 * [backup-simplify]: Simplify (/ -1 1) into -1 3.361 * [backup-simplify]: Simplify (* -1 -1) into 1 3.361 * [backup-simplify]: Simplify (+ 0 1) into 1 3.361 * [backup-simplify]: Simplify (sqrt 1) into 1 3.362 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.362 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.362 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.363 * [backup-simplify]: Simplify (+ 0 0) into 0 3.363 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.363 * [backup-simplify]: Simplify (/ 1 1) into 1 3.363 * [taylor]: Taking taylor expansion of 1/2 in x 3.363 * [backup-simplify]: Simplify 1/2 into 1/2 3.364 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.364 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 3.364 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.364 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.365 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 3.365 * [taylor]: Taking taylor expansion of 1 in x 3.365 * [backup-simplify]: Simplify 1 into 1 3.366 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.366 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 3.367 * [backup-simplify]: Simplify (/ 1/2 (+ (sqrt 1/2) 1)) into (/ 1/2 (+ (sqrt 1/2) 1)) 3.367 * [taylor]: Taking taylor expansion of (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 3.367 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 3.367 * [taylor]: Taking taylor expansion of 1/2 in x 3.367 * [backup-simplify]: Simplify 1/2 into 1/2 3.367 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 3.367 * [taylor]: Taking taylor expansion of 1/2 in x 3.367 * [backup-simplify]: Simplify 1/2 into 1/2 3.367 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 3.367 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.367 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.367 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.367 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.367 * [taylor]: Taking taylor expansion of 1 in x 3.368 * [backup-simplify]: Simplify 1 into 1 3.368 * [taylor]: Taking taylor expansion of 1 in x 3.368 * [backup-simplify]: Simplify 1 into 1 3.368 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.368 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.368 * [taylor]: Taking taylor expansion of -1 in x 3.368 * [backup-simplify]: Simplify -1 into -1 3.368 * [taylor]: Taking taylor expansion of x in x 3.368 * [backup-simplify]: Simplify 0 into 0 3.368 * [backup-simplify]: Simplify 1 into 1 3.368 * [backup-simplify]: Simplify (/ -1 1) into -1 3.368 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.368 * [taylor]: Taking taylor expansion of -1 in x 3.368 * [backup-simplify]: Simplify -1 into -1 3.368 * [taylor]: Taking taylor expansion of x in x 3.368 * [backup-simplify]: Simplify 0 into 0 3.368 * [backup-simplify]: Simplify 1 into 1 3.368 * [backup-simplify]: Simplify (/ -1 1) into -1 3.369 * [backup-simplify]: Simplify (* -1 -1) into 1 3.369 * [backup-simplify]: Simplify (+ 0 1) into 1 3.369 * [backup-simplify]: Simplify (sqrt 1) into 1 3.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.370 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.371 * [backup-simplify]: Simplify (+ 0 0) into 0 3.371 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.371 * [backup-simplify]: Simplify (/ 1 1) into 1 3.371 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 3.371 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 3.371 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 3.371 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 3.372 * [taylor]: Taking taylor expansion of 1/2 in x 3.372 * [backup-simplify]: Simplify 1/2 into 1/2 3.372 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 3.372 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.372 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.372 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.372 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.372 * [taylor]: Taking taylor expansion of 1 in x 3.372 * [backup-simplify]: Simplify 1 into 1 3.372 * [taylor]: Taking taylor expansion of 1 in x 3.372 * [backup-simplify]: Simplify 1 into 1 3.372 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.372 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.372 * [taylor]: Taking taylor expansion of -1 in x 3.372 * [backup-simplify]: Simplify -1 into -1 3.372 * [taylor]: Taking taylor expansion of x in x 3.372 * [backup-simplify]: Simplify 0 into 0 3.372 * [backup-simplify]: Simplify 1 into 1 3.372 * [backup-simplify]: Simplify (/ -1 1) into -1 3.372 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.372 * [taylor]: Taking taylor expansion of -1 in x 3.372 * [backup-simplify]: Simplify -1 into -1 3.372 * [taylor]: Taking taylor expansion of x in x 3.372 * [backup-simplify]: Simplify 0 into 0 3.372 * [backup-simplify]: Simplify 1 into 1 3.372 * [backup-simplify]: Simplify (/ -1 1) into -1 3.373 * [backup-simplify]: Simplify (* -1 -1) into 1 3.373 * [backup-simplify]: Simplify (+ 0 1) into 1 3.373 * [backup-simplify]: Simplify (sqrt 1) into 1 3.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.375 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.375 * [backup-simplify]: Simplify (+ 0 0) into 0 3.375 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.376 * [backup-simplify]: Simplify (/ 1 1) into 1 3.376 * [taylor]: Taking taylor expansion of 1/2 in x 3.376 * [backup-simplify]: Simplify 1/2 into 1/2 3.376 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.376 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 3.377 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.377 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.378 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 3.378 * [taylor]: Taking taylor expansion of 1 in x 3.378 * [backup-simplify]: Simplify 1 into 1 3.378 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.379 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 3.379 * [backup-simplify]: Simplify (/ 1/2 (+ (sqrt 1/2) 1)) into (/ 1/2 (+ (sqrt 1/2) 1)) 3.380 * [backup-simplify]: Simplify (/ 1/2 (+ (sqrt 1/2) 1)) into (/ 1/2 (+ (sqrt 1/2) 1)) 3.381 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.381 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.381 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 3.382 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 3.389 * [backup-simplify]: Simplify (- (/ -1/2 (+ (sqrt 1/2) 1)) (+ (* (/ 1/2 (+ (sqrt 1/2) 1)) (/ (* 1/4 (/ 1 (sqrt 1/2))) (+ (sqrt 1/2) 1))))) into (- (+ (* 1/2 (/ 1 (+ (sqrt 1/2) 1))) (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))))) 3.396 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 1 (+ (sqrt 1/2) 1))) (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))))) into (- (+ (* 1/2 (/ 1 (+ (sqrt 1/2) 1))) (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))))) 3.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.397 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.398 * [backup-simplify]: Simplify (- 0) into 0 3.398 * [backup-simplify]: Simplify (+ 0 0) into 0 3.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.399 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.399 * [backup-simplify]: Simplify (+ 0 0) into 0 3.402 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 3.403 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 3.426 * [backup-simplify]: Simplify (- (/ 0 (+ (sqrt 1/2) 1)) (+ (* (/ 1/2 (+ (sqrt 1/2) 1)) (/ (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) 1))) (* (- (+ (* 1/2 (/ 1 (+ (sqrt 1/2) 1))) (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))))) (/ (* 1/4 (/ 1 (sqrt 1/2))) (+ (sqrt 1/2) 1))))) into (+ (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3)))) (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2)))))) 3.440 * [backup-simplify]: Simplify (+ (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3)))) (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2)))))) into (+ (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3)))) (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2)))))) 3.477 * [backup-simplify]: Simplify (+ (* (+ (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3)))) (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2)))))) (pow (/ 1 (- x)) 2)) (+ (* (- (+ (* 1/2 (/ 1 (+ (sqrt 1/2) 1))) (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))))) (/ 1 (- x))) (/ 1/2 (+ (sqrt 1/2) 1)))) into (+ (* 1/8 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) (+ (* 1/32 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2))))) (+ (* 1/8 (/ 1 (* x (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3))))) (+ (* 1/2 (/ 1 (* x (+ (sqrt 1/2) 1)))) (* 1/2 (/ 1 (+ (sqrt 1/2) 1)))))))) 3.477 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 3.478 * [backup-simplify]: Simplify (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) 3.478 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in (x) around 0 3.478 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 3.478 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 3.478 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 3.478 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 3.478 * [taylor]: Taking taylor expansion of 1/2 in x 3.478 * [backup-simplify]: Simplify 1/2 into 1/2 3.478 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 3.478 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.478 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.478 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.478 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.478 * [taylor]: Taking taylor expansion of 1 in x 3.478 * [backup-simplify]: Simplify 1 into 1 3.478 * [taylor]: Taking taylor expansion of 1 in x 3.478 * [backup-simplify]: Simplify 1 into 1 3.478 * [taylor]: Taking taylor expansion of (* x x) in x 3.478 * [taylor]: Taking taylor expansion of x in x 3.478 * [backup-simplify]: Simplify 0 into 0 3.478 * [backup-simplify]: Simplify 1 into 1 3.478 * [taylor]: Taking taylor expansion of x in x 3.478 * [backup-simplify]: Simplify 0 into 0 3.478 * [backup-simplify]: Simplify 1 into 1 3.479 * [backup-simplify]: Simplify (* 1 1) into 1 3.479 * [backup-simplify]: Simplify (* 0 0) into 0 3.479 * [backup-simplify]: Simplify (+ 1 0) into 1 3.480 * [backup-simplify]: Simplify (sqrt 1) into 1 3.480 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.481 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.481 * [backup-simplify]: Simplify (+ 0 0) into 0 3.482 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.482 * [backup-simplify]: Simplify (/ 1 1) into 1 3.483 * [taylor]: Taking taylor expansion of 1/2 in x 3.483 * [backup-simplify]: Simplify 1/2 into 1/2 3.483 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.483 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 3.484 * [backup-simplify]: Simplify (sqrt 1) into 1 3.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.485 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.485 * [backup-simplify]: Simplify (+ 0 0) into 0 3.486 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.486 * [taylor]: Taking taylor expansion of 1 in x 3.486 * [backup-simplify]: Simplify 1 into 1 3.486 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 3.486 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 3.486 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 3.486 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 3.486 * [taylor]: Taking taylor expansion of 1/2 in x 3.486 * [backup-simplify]: Simplify 1/2 into 1/2 3.486 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 3.487 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.487 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.487 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.487 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.487 * [taylor]: Taking taylor expansion of 1 in x 3.487 * [backup-simplify]: Simplify 1 into 1 3.487 * [taylor]: Taking taylor expansion of 1 in x 3.487 * [backup-simplify]: Simplify 1 into 1 3.487 * [taylor]: Taking taylor expansion of (* x x) in x 3.487 * [taylor]: Taking taylor expansion of x in x 3.487 * [backup-simplify]: Simplify 0 into 0 3.487 * [backup-simplify]: Simplify 1 into 1 3.487 * [taylor]: Taking taylor expansion of x in x 3.487 * [backup-simplify]: Simplify 0 into 0 3.487 * [backup-simplify]: Simplify 1 into 1 3.488 * [backup-simplify]: Simplify (* 1 1) into 1 3.488 * [backup-simplify]: Simplify (* 0 0) into 0 3.489 * [backup-simplify]: Simplify (+ 1 0) into 1 3.489 * [backup-simplify]: Simplify (sqrt 1) into 1 3.490 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.490 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.491 * [backup-simplify]: Simplify (+ 0 0) into 0 3.491 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.492 * [backup-simplify]: Simplify (/ 1 1) into 1 3.492 * [taylor]: Taking taylor expansion of 1/2 in x 3.492 * [backup-simplify]: Simplify 1/2 into 1/2 3.492 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.493 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 3.493 * [backup-simplify]: Simplify (sqrt 1) into 1 3.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.496 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.497 * [backup-simplify]: Simplify (+ 0 0) into 0 3.497 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.497 * [taylor]: Taking taylor expansion of 1 in x 3.497 * [backup-simplify]: Simplify 1 into 1 3.498 * [backup-simplify]: Simplify (+ 1 1) into 2 3.498 * [backup-simplify]: Simplify 2 into 2 3.498 * [backup-simplify]: Simplify (+ 0 0) into 0 3.498 * [backup-simplify]: Simplify 0 into 0 3.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.500 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.500 * [backup-simplify]: Simplify (+ 0 1) into 1 3.501 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 3.503 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 3.504 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 3.505 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 3.505 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 3.505 * [backup-simplify]: Simplify -1/8 into -1/8 3.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.507 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 3.508 * [backup-simplify]: Simplify (+ 0 0) into 0 3.509 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 3.511 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 3.512 * [backup-simplify]: Simplify (+ 0 0) into 0 3.513 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 3.514 * [backup-simplify]: Simplify (+ 0 0) into 0 3.514 * [backup-simplify]: Simplify 0 into 0 3.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.516 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.516 * [backup-simplify]: Simplify (+ 0 0) into 0 3.518 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 3.521 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 3.521 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 3.523 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 3.523 * [backup-simplify]: Simplify (+ 11/128 0) into 11/128 3.523 * [backup-simplify]: Simplify 11/128 into 11/128 3.524 * [backup-simplify]: Simplify (+ (* 11/128 (pow x 4)) (+ (* -1/8 (pow x 2)) 2)) into (- (+ (* 11/128 (pow x 4)) 2) (* 1/8 (pow x 2))) 3.524 * [backup-simplify]: Simplify (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x)))))) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) 3.524 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in (x) around 0 3.524 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 3.524 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 3.524 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 3.524 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 3.524 * [taylor]: Taking taylor expansion of 1/2 in x 3.524 * [backup-simplify]: Simplify 1/2 into 1/2 3.524 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 3.524 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.524 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.524 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.524 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.524 * [taylor]: Taking taylor expansion of 1 in x 3.524 * [backup-simplify]: Simplify 1 into 1 3.524 * [taylor]: Taking taylor expansion of 1 in x 3.524 * [backup-simplify]: Simplify 1 into 1 3.524 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.524 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.524 * [taylor]: Taking taylor expansion of x in x 3.524 * [backup-simplify]: Simplify 0 into 0 3.524 * [backup-simplify]: Simplify 1 into 1 3.525 * [backup-simplify]: Simplify (/ 1 1) into 1 3.525 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.525 * [taylor]: Taking taylor expansion of x in x 3.525 * [backup-simplify]: Simplify 0 into 0 3.525 * [backup-simplify]: Simplify 1 into 1 3.525 * [backup-simplify]: Simplify (/ 1 1) into 1 3.526 * [backup-simplify]: Simplify (* 1 1) into 1 3.526 * [backup-simplify]: Simplify (+ 0 1) into 1 3.527 * [backup-simplify]: Simplify (sqrt 1) into 1 3.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.529 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.529 * [backup-simplify]: Simplify (+ 0 0) into 0 3.530 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.530 * [backup-simplify]: Simplify (/ 1 1) into 1 3.530 * [taylor]: Taking taylor expansion of 1/2 in x 3.530 * [backup-simplify]: Simplify 1/2 into 1/2 3.531 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.531 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 3.531 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.532 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.533 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 3.533 * [taylor]: Taking taylor expansion of 1 in x 3.533 * [backup-simplify]: Simplify 1 into 1 3.533 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 3.533 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 3.533 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 3.533 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 3.534 * [taylor]: Taking taylor expansion of 1/2 in x 3.534 * [backup-simplify]: Simplify 1/2 into 1/2 3.534 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 3.534 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.534 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.534 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.534 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.534 * [taylor]: Taking taylor expansion of 1 in x 3.534 * [backup-simplify]: Simplify 1 into 1 3.534 * [taylor]: Taking taylor expansion of 1 in x 3.534 * [backup-simplify]: Simplify 1 into 1 3.534 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.534 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.534 * [taylor]: Taking taylor expansion of x in x 3.534 * [backup-simplify]: Simplify 0 into 0 3.534 * [backup-simplify]: Simplify 1 into 1 3.534 * [backup-simplify]: Simplify (/ 1 1) into 1 3.534 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.534 * [taylor]: Taking taylor expansion of x in x 3.534 * [backup-simplify]: Simplify 0 into 0 3.534 * [backup-simplify]: Simplify 1 into 1 3.535 * [backup-simplify]: Simplify (/ 1 1) into 1 3.535 * [backup-simplify]: Simplify (* 1 1) into 1 3.536 * [backup-simplify]: Simplify (+ 0 1) into 1 3.536 * [backup-simplify]: Simplify (sqrt 1) into 1 3.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.538 * [backup-simplify]: Simplify (+ 0 0) into 0 3.539 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.539 * [backup-simplify]: Simplify (/ 1 1) into 1 3.539 * [taylor]: Taking taylor expansion of 1/2 in x 3.539 * [backup-simplify]: Simplify 1/2 into 1/2 3.540 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.540 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 3.541 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.541 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.543 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 3.543 * [taylor]: Taking taylor expansion of 1 in x 3.543 * [backup-simplify]: Simplify 1 into 1 3.543 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 3.544 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 3.546 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 3.547 * [backup-simplify]: Simplify (* 1/4 (/ 1 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 3.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.549 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.549 * [backup-simplify]: Simplify (+ 0 0) into 0 3.554 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 3.557 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 3.560 * [backup-simplify]: Simplify (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 3.566 * [backup-simplify]: Simplify (+ (* (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (pow (/ 1 x) 2)) (+ (* (/ 1/4 (sqrt 1/2)) (/ 1 x)) (+ (sqrt 1/2) 1))) into (- (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (+ (sqrt 1/2) 1)) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) 3.566 * [backup-simplify]: Simplify (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))))) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) 3.566 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in (x) around 0 3.566 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 3.566 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 3.566 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 3.566 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 3.566 * [taylor]: Taking taylor expansion of 1/2 in x 3.566 * [backup-simplify]: Simplify 1/2 into 1/2 3.566 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 3.566 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.566 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.566 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.566 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.566 * [taylor]: Taking taylor expansion of 1 in x 3.566 * [backup-simplify]: Simplify 1 into 1 3.566 * [taylor]: Taking taylor expansion of 1 in x 3.566 * [backup-simplify]: Simplify 1 into 1 3.566 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.566 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.566 * [taylor]: Taking taylor expansion of -1 in x 3.566 * [backup-simplify]: Simplify -1 into -1 3.566 * [taylor]: Taking taylor expansion of x in x 3.566 * [backup-simplify]: Simplify 0 into 0 3.566 * [backup-simplify]: Simplify 1 into 1 3.567 * [backup-simplify]: Simplify (/ -1 1) into -1 3.567 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.567 * [taylor]: Taking taylor expansion of -1 in x 3.567 * [backup-simplify]: Simplify -1 into -1 3.567 * [taylor]: Taking taylor expansion of x in x 3.567 * [backup-simplify]: Simplify 0 into 0 3.567 * [backup-simplify]: Simplify 1 into 1 3.567 * [backup-simplify]: Simplify (/ -1 1) into -1 3.568 * [backup-simplify]: Simplify (* -1 -1) into 1 3.568 * [backup-simplify]: Simplify (+ 0 1) into 1 3.568 * [backup-simplify]: Simplify (sqrt 1) into 1 3.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.570 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.571 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.571 * [backup-simplify]: Simplify (+ 0 0) into 0 3.572 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.572 * [backup-simplify]: Simplify (/ 1 1) into 1 3.572 * [taylor]: Taking taylor expansion of 1/2 in x 3.572 * [backup-simplify]: Simplify 1/2 into 1/2 3.573 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.573 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 3.573 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.574 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.575 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 3.575 * [taylor]: Taking taylor expansion of 1 in x 3.575 * [backup-simplify]: Simplify 1 into 1 3.575 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 3.575 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 3.575 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 3.575 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 3.575 * [taylor]: Taking taylor expansion of 1/2 in x 3.575 * [backup-simplify]: Simplify 1/2 into 1/2 3.575 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 3.575 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.576 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.576 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.576 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.576 * [taylor]: Taking taylor expansion of 1 in x 3.576 * [backup-simplify]: Simplify 1 into 1 3.576 * [taylor]: Taking taylor expansion of 1 in x 3.576 * [backup-simplify]: Simplify 1 into 1 3.576 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.576 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.576 * [taylor]: Taking taylor expansion of -1 in x 3.576 * [backup-simplify]: Simplify -1 into -1 3.576 * [taylor]: Taking taylor expansion of x in x 3.576 * [backup-simplify]: Simplify 0 into 0 3.576 * [backup-simplify]: Simplify 1 into 1 3.576 * [backup-simplify]: Simplify (/ -1 1) into -1 3.576 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.576 * [taylor]: Taking taylor expansion of -1 in x 3.576 * [backup-simplify]: Simplify -1 into -1 3.576 * [taylor]: Taking taylor expansion of x in x 3.576 * [backup-simplify]: Simplify 0 into 0 3.576 * [backup-simplify]: Simplify 1 into 1 3.577 * [backup-simplify]: Simplify (/ -1 1) into -1 3.577 * [backup-simplify]: Simplify (* -1 -1) into 1 3.578 * [backup-simplify]: Simplify (+ 0 1) into 1 3.578 * [backup-simplify]: Simplify (sqrt 1) into 1 3.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.580 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.580 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.581 * [backup-simplify]: Simplify (+ 0 0) into 0 3.581 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.582 * [backup-simplify]: Simplify (/ 1 1) into 1 3.582 * [taylor]: Taking taylor expansion of 1/2 in x 3.582 * [backup-simplify]: Simplify 1/2 into 1/2 3.582 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.582 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 3.583 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.583 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.585 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 3.585 * [taylor]: Taking taylor expansion of 1 in x 3.585 * [backup-simplify]: Simplify 1 into 1 3.586 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 3.587 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 3.589 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 3.590 * [backup-simplify]: Simplify (* 1/4 (/ 1 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 3.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.592 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.592 * [backup-simplify]: Simplify (+ 0 0) into 0 3.597 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 3.600 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 3.603 * [backup-simplify]: Simplify (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 3.607 * [backup-simplify]: Simplify (+ (* (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (pow (/ 1 (- x)) 2)) (+ (* (/ 1/4 (sqrt 1/2)) (/ 1 (- x))) (+ (sqrt 1/2) 1))) into (- (+ (sqrt 1/2) 1) (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (* x (sqrt 1/2)))))) 3.607 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2 2) 3.607 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 3.607 * [approximate]: Taking taylor expansion of (hypot 1 x) in (x) around 0 3.607 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.607 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.607 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.607 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.607 * [taylor]: Taking taylor expansion of 1 in x 3.607 * [backup-simplify]: Simplify 1 into 1 3.607 * [taylor]: Taking taylor expansion of 1 in x 3.607 * [backup-simplify]: Simplify 1 into 1 3.607 * [taylor]: Taking taylor expansion of (* x x) in x 3.607 * [taylor]: Taking taylor expansion of x in x 3.607 * [backup-simplify]: Simplify 0 into 0 3.607 * [backup-simplify]: Simplify 1 into 1 3.607 * [taylor]: Taking taylor expansion of x in x 3.607 * [backup-simplify]: Simplify 0 into 0 3.607 * [backup-simplify]: Simplify 1 into 1 3.607 * [backup-simplify]: Simplify (* 1 1) into 1 3.608 * [backup-simplify]: Simplify (* 0 0) into 0 3.608 * [backup-simplify]: Simplify (+ 1 0) into 1 3.608 * [backup-simplify]: Simplify (sqrt 1) into 1 3.609 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.609 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.609 * [backup-simplify]: Simplify (+ 0 0) into 0 3.610 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.610 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.610 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.610 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.610 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.610 * [taylor]: Taking taylor expansion of 1 in x 3.610 * [backup-simplify]: Simplify 1 into 1 3.610 * [taylor]: Taking taylor expansion of 1 in x 3.610 * [backup-simplify]: Simplify 1 into 1 3.610 * [taylor]: Taking taylor expansion of (* x x) in x 3.610 * [taylor]: Taking taylor expansion of x in x 3.610 * [backup-simplify]: Simplify 0 into 0 3.610 * [backup-simplify]: Simplify 1 into 1 3.610 * [taylor]: Taking taylor expansion of x in x 3.610 * [backup-simplify]: Simplify 0 into 0 3.610 * [backup-simplify]: Simplify 1 into 1 3.610 * [backup-simplify]: Simplify (* 1 1) into 1 3.610 * [backup-simplify]: Simplify (* 0 0) into 0 3.611 * [backup-simplify]: Simplify (+ 1 0) into 1 3.611 * [backup-simplify]: Simplify (sqrt 1) into 1 3.611 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.612 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.612 * [backup-simplify]: Simplify (+ 0 0) into 0 3.612 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.613 * [backup-simplify]: Simplify 1 into 1 3.613 * [backup-simplify]: Simplify 0 into 0 3.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.614 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.614 * [backup-simplify]: Simplify (+ 0 1) into 1 3.615 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.615 * [backup-simplify]: Simplify 1/2 into 1/2 3.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.616 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 3.616 * [backup-simplify]: Simplify (+ 0 0) into 0 3.617 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.617 * [backup-simplify]: Simplify 0 into 0 3.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.619 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.619 * [backup-simplify]: Simplify (+ 0 0) into 0 3.621 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.621 * [backup-simplify]: Simplify -1/8 into -1/8 3.622 * [backup-simplify]: Simplify (+ (* -1/8 (pow x 4)) (+ (* 1/2 (pow x 2)) 1)) into (- (+ (* 1/2 (pow x 2)) 1) (* 1/8 (pow x 4))) 3.622 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 3.622 * [approximate]: Taking taylor expansion of (hypot 1 (/ 1 x)) in (x) around 0 3.622 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.622 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.622 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.622 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.622 * [taylor]: Taking taylor expansion of 1 in x 3.622 * [backup-simplify]: Simplify 1 into 1 3.622 * [taylor]: Taking taylor expansion of 1 in x 3.622 * [backup-simplify]: Simplify 1 into 1 3.622 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.622 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.622 * [taylor]: Taking taylor expansion of x in x 3.622 * [backup-simplify]: Simplify 0 into 0 3.622 * [backup-simplify]: Simplify 1 into 1 3.623 * [backup-simplify]: Simplify (/ 1 1) into 1 3.623 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.623 * [taylor]: Taking taylor expansion of x in x 3.623 * [backup-simplify]: Simplify 0 into 0 3.623 * [backup-simplify]: Simplify 1 into 1 3.623 * [backup-simplify]: Simplify (/ 1 1) into 1 3.623 * [backup-simplify]: Simplify (* 1 1) into 1 3.623 * [backup-simplify]: Simplify (+ 0 1) into 1 3.624 * [backup-simplify]: Simplify (sqrt 1) into 1 3.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.625 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.625 * [backup-simplify]: Simplify (+ 0 0) into 0 3.625 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.626 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.626 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.626 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.626 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.626 * [taylor]: Taking taylor expansion of 1 in x 3.626 * [backup-simplify]: Simplify 1 into 1 3.626 * [taylor]: Taking taylor expansion of 1 in x 3.626 * [backup-simplify]: Simplify 1 into 1 3.626 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.626 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.626 * [taylor]: Taking taylor expansion of x in x 3.626 * [backup-simplify]: Simplify 0 into 0 3.626 * [backup-simplify]: Simplify 1 into 1 3.626 * [backup-simplify]: Simplify (/ 1 1) into 1 3.626 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.626 * [taylor]: Taking taylor expansion of x in x 3.626 * [backup-simplify]: Simplify 0 into 0 3.626 * [backup-simplify]: Simplify 1 into 1 3.626 * [backup-simplify]: Simplify (/ 1 1) into 1 3.627 * [backup-simplify]: Simplify (* 1 1) into 1 3.627 * [backup-simplify]: Simplify (+ 0 1) into 1 3.627 * [backup-simplify]: Simplify (sqrt 1) into 1 3.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.628 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.629 * [backup-simplify]: Simplify (+ 0 0) into 0 3.629 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.629 * [backup-simplify]: Simplify 1 into 1 3.629 * [backup-simplify]: Simplify 0 into 0 3.629 * [backup-simplify]: Simplify (* 1 1) into 1 3.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.631 * [backup-simplify]: Simplify (+ 1 0) into 1 3.632 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.632 * [backup-simplify]: Simplify 1/2 into 1/2 3.632 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.634 * [backup-simplify]: Simplify (+ 0 0) into 0 3.635 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.635 * [backup-simplify]: Simplify 0 into 0 3.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.639 * [backup-simplify]: Simplify (+ 0 0) into 0 3.641 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.641 * [backup-simplify]: Simplify -1/8 into -1/8 3.641 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 x) 3)) (+ (* 1/2 (/ 1 x)) (* 1 (/ 1 (/ 1 x))))) into (- (+ x (* 1/2 (/ 1 x))) (* 1/8 (/ 1 (pow x 3)))) 3.641 * [backup-simplify]: Simplify (hypot 1 (/ 1 (- x))) into (hypot 1 (/ -1 x)) 3.641 * [approximate]: Taking taylor expansion of (hypot 1 (/ -1 x)) in (x) around 0 3.641 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.641 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.641 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.641 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.641 * [taylor]: Taking taylor expansion of 1 in x 3.641 * [backup-simplify]: Simplify 1 into 1 3.641 * [taylor]: Taking taylor expansion of 1 in x 3.641 * [backup-simplify]: Simplify 1 into 1 3.641 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.641 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.641 * [taylor]: Taking taylor expansion of -1 in x 3.642 * [backup-simplify]: Simplify -1 into -1 3.642 * [taylor]: Taking taylor expansion of x in x 3.642 * [backup-simplify]: Simplify 0 into 0 3.642 * [backup-simplify]: Simplify 1 into 1 3.642 * [backup-simplify]: Simplify (/ -1 1) into -1 3.642 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.642 * [taylor]: Taking taylor expansion of -1 in x 3.642 * [backup-simplify]: Simplify -1 into -1 3.642 * [taylor]: Taking taylor expansion of x in x 3.642 * [backup-simplify]: Simplify 0 into 0 3.642 * [backup-simplify]: Simplify 1 into 1 3.643 * [backup-simplify]: Simplify (/ -1 1) into -1 3.643 * [backup-simplify]: Simplify (* -1 -1) into 1 3.644 * [backup-simplify]: Simplify (+ 0 1) into 1 3.644 * [backup-simplify]: Simplify (sqrt 1) into 1 3.645 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.646 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.646 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.647 * [backup-simplify]: Simplify (+ 0 0) into 0 3.648 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.648 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.648 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.648 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.648 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.648 * [taylor]: Taking taylor expansion of 1 in x 3.648 * [backup-simplify]: Simplify 1 into 1 3.648 * [taylor]: Taking taylor expansion of 1 in x 3.648 * [backup-simplify]: Simplify 1 into 1 3.648 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.648 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.648 * [taylor]: Taking taylor expansion of -1 in x 3.648 * [backup-simplify]: Simplify -1 into -1 3.648 * [taylor]: Taking taylor expansion of x in x 3.648 * [backup-simplify]: Simplify 0 into 0 3.648 * [backup-simplify]: Simplify 1 into 1 3.649 * [backup-simplify]: Simplify (/ -1 1) into -1 3.649 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.649 * [taylor]: Taking taylor expansion of -1 in x 3.649 * [backup-simplify]: Simplify -1 into -1 3.649 * [taylor]: Taking taylor expansion of x in x 3.649 * [backup-simplify]: Simplify 0 into 0 3.649 * [backup-simplify]: Simplify 1 into 1 3.649 * [backup-simplify]: Simplify (/ -1 1) into -1 3.650 * [backup-simplify]: Simplify (* -1 -1) into 1 3.650 * [backup-simplify]: Simplify (+ 0 1) into 1 3.650 * [backup-simplify]: Simplify (sqrt 1) into 1 3.651 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.652 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.653 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.653 * [backup-simplify]: Simplify (+ 0 0) into 0 3.653 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.653 * [backup-simplify]: Simplify 1 into 1 3.653 * [backup-simplify]: Simplify 0 into 0 3.654 * [backup-simplify]: Simplify (* 1 1) into 1 3.654 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.655 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.655 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 3.656 * [backup-simplify]: Simplify (+ 1 0) into 1 3.656 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.656 * [backup-simplify]: Simplify 1/2 into 1/2 3.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.657 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.658 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.658 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 3.659 * [backup-simplify]: Simplify (+ 0 0) into 0 3.659 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.659 * [backup-simplify]: Simplify 0 into 0 3.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.660 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.661 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.662 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 3.662 * [backup-simplify]: Simplify (+ 0 0) into 0 3.663 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.663 * [backup-simplify]: Simplify -1/8 into -1/8 3.663 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 (- x)) 3)) (+ (* 1/2 (/ 1 (- x))) (* 1 (/ 1 (/ 1 (- x)))))) into (- (* 1/8 (/ 1 (pow x 3))) (+ x (* 1/2 (/ 1 x)))) 3.663 * * * [progress]: simplifying candidates 3.663 * * * * [progress]: [ 1 / 167 ] simplifiying candidate # 3.663 * * * * [progress]: [ 2 / 167 ] simplifiying candidate # 3.663 * * * * [progress]: [ 3 / 167 ] simplifiying candidate # 3.663 * * * * [progress]: [ 4 / 167 ] simplifiying candidate # 3.663 * * * * [progress]: [ 5 / 167 ] simplifiying candidate # 3.663 * * * * [progress]: 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1 x))))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (fma (- (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x)))))) (fma (- (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt 1/2) (hypot 1 x)) (/ (* (cbrt 1/2) (cbrt 1/2)) 1)))) (fma (- (/ (cbrt 1/2) (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (/ (cbrt 1/2) (hypot 1 x)) (/ (* (cbrt 1/2) (cbrt 1/2)) 1))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (fma (- (/ (sqrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x)))))) (fma (- (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1)))) (fma (- (/ (sqrt 1/2) (hypot 1 x))) (/ (sqrt 1/2) 1) (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (fma (- (/ 1/2 (cbrt (hypot 1 x)))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (* 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#6: cost 1 inf + 251477 7.332 * * [simplify]: Extracting #7: cost 0 inf + 249552 7.407 * * [simplify]: Extracting #8: cost 0 inf + 249392 7.484 * [simplify]: Simplified to: (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (/ -1/2 (hypot 1 x))) (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (/ -1/2 (hypot 1 x))) (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x))) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (- (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (* (cbrt 1/2) (cbrt 1/2))) (sqrt (hypot 1 x)))) (* (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt 1/2)) (+ (- (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (- (* (cbrt 1/2) (* (cbrt 1/2) 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(/ 1/2 (hypot 1 x)))))) (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1 (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ 1 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1/2 (/ 1/2 (hypot 1 x)))) (/ (/ (- 1/2 (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (- 1/2 (/ 1/2 (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x))) (/ (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (/ (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (- 1/2 (/ 1/2 (hypot 1 x))))) (/ (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1/2 (/ 1/2 (hypot 1 x)))) (/ (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x))))) (/ (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x))))) (/ (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1/2 (/ 1/2 (hypot 1 x)))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))) 1)) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (- 1 (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4)) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (expm1 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (log1p (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (exp (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (log1p (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (exp (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))) 1) (+ (- (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1) (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (expm1 (hypot 1 x)) (log1p (hypot 1 x)) (fma x x 1) (log (hypot 1 x)) (exp (hypot 1 x)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)) (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))) (sqrt (hypot 1 x)) (sqrt (hypot 1 x)) (fma 1/4 (* x x) (fma 5/32 (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) (* x x)) -3/16))) (+ (/ 1/4 (* (* x x) x)) (- 1/2 (/ 1/2 x))) (- (+ 1/2 (/ 1/2 x)) (/ 1/4 (* (* x x) x))) (fma 1/8 (* x x) (fma 69/1024 (* (* (* x x) x) (* (* x x) x)) (* -11/128 (* (* x x) (* x x))))) (+ (/ 1/8 (* (* (* x (+ 1 (sqrt 1/2))) (* x (+ 1 (sqrt 1/2)))) (sqrt 1/2))) (+ (+ (/ 1/64 (* (* (* x (+ 1 (sqrt 1/2))) (* x (+ 1 (sqrt 1/2)))) (* 1/2 (sqrt 1/2)))) (/ 1/2 (+ 1 (sqrt 1/2)))) (- (/ 1/32 (* 1/2 (* (* (* x (+ 1 (sqrt 1/2))) (* x (+ 1 (sqrt 1/2)))) (+ 1 (sqrt 1/2))))) (fma 1/2 (/ (/ 1 x) (+ 1 (sqrt 1/2))) (/ (* 1/8 (/ 1 x)) (* (* (sqrt 1/2) (+ 1 (sqrt 1/2))) (+ 1 (sqrt 1/2)))))))) (+ (/ 1/8 (* (* (* x (+ 1 (sqrt 1/2))) (* x (+ 1 (sqrt 1/2)))) (sqrt 1/2))) (+ (+ (/ 1/64 (* (* (* x (+ 1 (sqrt 1/2))) (* x (+ 1 (sqrt 1/2)))) (* 1/2 (sqrt 1/2)))) (/ 1/8 (* x (* (* (sqrt 1/2) (+ 1 (sqrt 1/2))) (+ 1 (sqrt 1/2)))))) (+ (+ (/ 1/2 (fma (sqrt 1/2) x x)) (/ 1/2 (+ 1 (sqrt 1/2)))) (/ 1/32 (* 1/2 (* (* (* x (+ 1 (sqrt 1/2))) (* x (+ 1 (sqrt 1/2)))) (+ 1 (sqrt 1/2)))))))) (fma (* (* x x) (* x x)) 11/128 (+ 2 (* (* x x) -1/8))) (+ (+ (sqrt 1/2) (+ 1 (/ (/ 1/4 x) (sqrt 1/2)))) (/ -1/32 (* (* 1/2 (sqrt 1/2)) (* x x)))) (- (- (+ 1 (sqrt 1/2)) (/ (/ 1/4 x) (sqrt 1/2))) (/ 1/32 (* (* 1/2 (sqrt 1/2)) (* x x)))) (fma (* x x) 1/2 (+ 1 (* -1/8 (* (* x x) (* x x))))) (+ (+ x (/ 1/2 x)) (/ -1/8 (* (* x x) x))) (- (- (/ 1/8 (* (* x x) x)) (/ 1/2 x)) x) 7.516 * * * [progress]: adding candidates to table 9.057 * * [progress]: iteration 3 / 4 9.057 * * * [progress]: picking best candidate 9.060 * * * * [pick]: Picked # 9.060 * * * [progress]: localizing error 9.083 * * * [progress]: generating rewritten candidates 9.084 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 9.084 * * * * [progress]: [ 2 / 4 ] rewriting at (2 3 2 2) 9.105 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 9.171 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 9.202 * * * [progress]: generating series expansions 9.202 * * * * [progress]: [ 1 / 4 ] generating series at (2) 9.202 * [backup-simplify]: Simplify (fma (* (* x (* x x)) (* x (* x x))) 69/1024 (* (* x x) (- 1/8 (* 11/128 (* x x))))) into (fma (pow x 6) 69/1024 (* (pow x 2) (- 1/8 (* 11/128 (pow x 2))))) 9.203 * [approximate]: Taking taylor expansion of (fma (pow x 6) 69/1024 (* (pow x 2) (- 1/8 (* 11/128 (pow x 2))))) in (x) around 0 9.203 * [taylor]: Taking taylor expansion of (fma (pow x 6) 69/1024 (* (pow x 2) (- 1/8 (* 11/128 (pow x 2))))) in x 9.203 * [taylor]: Rewrote expression to (+ (* (pow x 6) 69/1024) (* (pow x 2) (- 1/8 (* 11/128 (pow x 2))))) 9.203 * [taylor]: Taking taylor expansion of (* (pow x 6) 69/1024) in x 9.203 * [taylor]: Taking taylor expansion of (pow x 6) in x 9.203 * [taylor]: Taking taylor expansion of x in x 9.203 * [backup-simplify]: Simplify 0 into 0 9.203 * [backup-simplify]: Simplify 1 into 1 9.203 * [taylor]: Taking taylor expansion of 69/1024 in x 9.203 * [backup-simplify]: Simplify 69/1024 into 69/1024 9.203 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1/8 (* 11/128 (pow x 2)))) in x 9.203 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.203 * [taylor]: Taking taylor expansion of x in x 9.203 * [backup-simplify]: Simplify 0 into 0 9.203 * [backup-simplify]: Simplify 1 into 1 9.203 * [taylor]: Taking taylor expansion of (- 1/8 (* 11/128 (pow x 2))) in x 9.203 * [taylor]: Taking taylor expansion of 1/8 in x 9.203 * [backup-simplify]: Simplify 1/8 into 1/8 9.203 * [taylor]: Taking taylor expansion of (* 11/128 (pow x 2)) in x 9.203 * [taylor]: Taking taylor expansion of 11/128 in x 9.203 * [backup-simplify]: Simplify 11/128 into 11/128 9.203 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.203 * [taylor]: Taking taylor expansion of x in x 9.203 * [backup-simplify]: Simplify 0 into 0 9.203 * [backup-simplify]: Simplify 1 into 1 9.203 * [taylor]: Taking taylor expansion of (fma (pow x 6) 69/1024 (* (pow x 2) (- 1/8 (* 11/128 (pow x 2))))) in x 9.203 * [taylor]: Rewrote expression to (+ (* (pow x 6) 69/1024) (* (pow x 2) (- 1/8 (* 11/128 (pow x 2))))) 9.203 * [taylor]: Taking taylor expansion of (* (pow x 6) 69/1024) in x 9.204 * [taylor]: Taking taylor expansion of (pow x 6) in x 9.204 * [taylor]: Taking taylor expansion of x in x 9.204 * [backup-simplify]: Simplify 0 into 0 9.204 * [backup-simplify]: Simplify 1 into 1 9.204 * [taylor]: Taking taylor expansion of 69/1024 in x 9.204 * [backup-simplify]: Simplify 69/1024 into 69/1024 9.204 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1/8 (* 11/128 (pow x 2)))) in x 9.204 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.204 * [taylor]: Taking taylor expansion of x in x 9.204 * [backup-simplify]: Simplify 0 into 0 9.204 * [backup-simplify]: Simplify 1 into 1 9.204 * [taylor]: Taking taylor expansion of (- 1/8 (* 11/128 (pow x 2))) in x 9.204 * [taylor]: Taking taylor expansion of 1/8 in x 9.204 * [backup-simplify]: Simplify 1/8 into 1/8 9.204 * [taylor]: Taking taylor expansion of (* 11/128 (pow x 2)) in x 9.204 * [taylor]: Taking taylor expansion of 11/128 in x 9.204 * [backup-simplify]: Simplify 11/128 into 11/128 9.204 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.204 * [taylor]: Taking taylor expansion of x in x 9.204 * [backup-simplify]: Simplify 0 into 0 9.204 * [backup-simplify]: Simplify 1 into 1 9.205 * [backup-simplify]: Simplify (* 1 1) into 1 9.205 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 9.206 * [backup-simplify]: Simplify (* 1 1/8) into 1/8 9.206 * [backup-simplify]: Simplify (+ 0 1/8) into 1/8 9.206 * [backup-simplify]: Simplify 1/8 into 1/8 9.207 * [backup-simplify]: Simplify (+ 0 0) into 0 9.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1/8)) into 0 9.208 * [backup-simplify]: Simplify (+ 0 0) into 0 9.208 * [backup-simplify]: Simplify 0 into 0 9.209 * [backup-simplify]: Simplify (* 1 1) into 1 9.209 * [backup-simplify]: Simplify (* 11/128 1) into 11/128 9.209 * [backup-simplify]: Simplify (- 11/128) into -11/128 9.209 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 9.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.210 * [backup-simplify]: Simplify (+ (* 1 -11/128) (+ (* 0 0) (* 0 1/8))) into -11/128 9.211 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 9.211 * [backup-simplify]: Simplify -11/128 into -11/128 9.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.212 * [backup-simplify]: Simplify (+ (* 11/128 0) (* 0 1)) into 0 9.212 * [backup-simplify]: Simplify (- 0) into 0 9.212 * [backup-simplify]: Simplify (+ 0 0) into 0 9.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -11/128) (+ (* 0 0) (* 0 1/8)))) into 0 9.214 * [backup-simplify]: Simplify (+ 0 0) into 0 9.214 * [backup-simplify]: Simplify 0 into 0 9.214 * [backup-simplify]: Simplify (* 1 1) into 1 9.214 * [backup-simplify]: Simplify (* 1 1) into 1 9.215 * [backup-simplify]: Simplify (* 1 1) into 1 9.215 * [backup-simplify]: Simplify (* 1 69/1024) into 69/1024 9.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.216 * [backup-simplify]: Simplify (+ (* 11/128 0) (+ (* 0 0) (* 0 1))) into 0 9.216 * [backup-simplify]: Simplify (- 0) into 0 9.216 * [backup-simplify]: Simplify (+ 0 0) into 0 9.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 -11/128) (+ (* 0 0) (* 0 1/8))))) into 0 9.218 * [backup-simplify]: Simplify (+ 69/1024 0) into 69/1024 9.218 * [backup-simplify]: Simplify 69/1024 into 69/1024 9.218 * [backup-simplify]: Simplify (+ (* 69/1024 (pow x 6)) (+ (* -11/128 (pow x 4)) (* 1/8 (pow x 2)))) into (- (+ (* 1/8 (pow x 2)) (* 69/1024 (pow x 6))) (* 11/128 (pow x 4))) 9.219 * [backup-simplify]: Simplify (fma (* (* (/ 1 x) (* (/ 1 x) (/ 1 x))) (* (/ 1 x) (* (/ 1 x) (/ 1 x)))) 69/1024 (* (* (/ 1 x) (/ 1 x)) (- 1/8 (* 11/128 (* (/ 1 x) (/ 1 x)))))) into (fma (/ 1 (pow x 6)) 69/1024 (/ (- 1/8 (* 11/128 (/ 1 (pow x 2)))) (pow x 2))) 9.219 * [approximate]: Taking taylor expansion of (fma (/ 1 (pow x 6)) 69/1024 (/ (- 1/8 (* 11/128 (/ 1 (pow x 2)))) (pow x 2))) in (x) around 0 9.219 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow x 6)) 69/1024 (/ (- 1/8 (* 11/128 (/ 1 (pow x 2)))) (pow x 2))) in x 9.219 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow x 6)) 69/1024) (/ (- 1/8 (* 11/128 (/ 1 (pow x 2)))) (pow x 2))) 9.219 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 6)) 69/1024) in x 9.219 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 9.219 * [taylor]: Taking taylor expansion of (pow x 6) in x 9.219 * [taylor]: Taking taylor expansion of x in x 9.219 * [backup-simplify]: Simplify 0 into 0 9.219 * [backup-simplify]: Simplify 1 into 1 9.219 * [backup-simplify]: Simplify (* 1 1) into 1 9.220 * [backup-simplify]: Simplify (* 1 1) into 1 9.220 * [backup-simplify]: Simplify (* 1 1) into 1 9.220 * [backup-simplify]: Simplify (/ 1 1) into 1 9.220 * [taylor]: Taking taylor expansion of 69/1024 in x 9.220 * [backup-simplify]: Simplify 69/1024 into 69/1024 9.220 * [taylor]: Taking taylor expansion of (/ (- 1/8 (* 11/128 (/ 1 (pow x 2)))) (pow x 2)) in x 9.220 * [taylor]: Taking taylor expansion of (- 1/8 (* 11/128 (/ 1 (pow x 2)))) in x 9.220 * [taylor]: Taking taylor expansion of 1/8 in x 9.220 * [backup-simplify]: Simplify 1/8 into 1/8 9.220 * [taylor]: Taking taylor expansion of (* 11/128 (/ 1 (pow x 2))) in x 9.220 * [taylor]: Taking taylor expansion of 11/128 in x 9.220 * [backup-simplify]: Simplify 11/128 into 11/128 9.220 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.220 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.220 * [taylor]: Taking taylor expansion of x in x 9.220 * [backup-simplify]: Simplify 0 into 0 9.220 * [backup-simplify]: Simplify 1 into 1 9.221 * [backup-simplify]: Simplify (* 1 1) into 1 9.221 * [backup-simplify]: Simplify (/ 1 1) into 1 9.221 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.221 * [taylor]: Taking taylor expansion of x in x 9.221 * [backup-simplify]: Simplify 0 into 0 9.221 * [backup-simplify]: Simplify 1 into 1 9.221 * [backup-simplify]: Simplify (* 11/128 1) into 11/128 9.221 * [backup-simplify]: Simplify (- 11/128) into -11/128 9.222 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 9.222 * [backup-simplify]: Simplify (* 1 1) into 1 9.222 * [backup-simplify]: Simplify (/ -11/128 1) into -11/128 9.222 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow x 6)) 69/1024 (/ (- 1/8 (* 11/128 (/ 1 (pow x 2)))) (pow x 2))) in x 9.222 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow x 6)) 69/1024) (/ (- 1/8 (* 11/128 (/ 1 (pow x 2)))) (pow x 2))) 9.222 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 6)) 69/1024) in x 9.222 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 9.222 * [taylor]: Taking taylor expansion of (pow x 6) in x 9.222 * [taylor]: Taking taylor expansion of x in x 9.222 * [backup-simplify]: Simplify 0 into 0 9.222 * [backup-simplify]: Simplify 1 into 1 9.223 * [backup-simplify]: Simplify (* 1 1) into 1 9.223 * [backup-simplify]: Simplify (* 1 1) into 1 9.223 * [backup-simplify]: Simplify (* 1 1) into 1 9.223 * [backup-simplify]: Simplify (/ 1 1) into 1 9.223 * [taylor]: Taking taylor expansion of 69/1024 in x 9.223 * [backup-simplify]: Simplify 69/1024 into 69/1024 9.223 * [taylor]: Taking taylor expansion of (/ (- 1/8 (* 11/128 (/ 1 (pow x 2)))) (pow x 2)) in x 9.223 * [taylor]: Taking taylor expansion of (- 1/8 (* 11/128 (/ 1 (pow x 2)))) in x 9.223 * [taylor]: Taking taylor expansion of 1/8 in x 9.223 * [backup-simplify]: Simplify 1/8 into 1/8 9.224 * [taylor]: Taking taylor expansion of (* 11/128 (/ 1 (pow x 2))) in x 9.224 * [taylor]: Taking taylor expansion of 11/128 in x 9.224 * [backup-simplify]: Simplify 11/128 into 11/128 9.224 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.224 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.224 * [taylor]: Taking taylor expansion of x in x 9.224 * [backup-simplify]: Simplify 0 into 0 9.224 * [backup-simplify]: Simplify 1 into 1 9.224 * [backup-simplify]: Simplify (* 1 1) into 1 9.224 * [backup-simplify]: Simplify (/ 1 1) into 1 9.224 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.224 * [taylor]: Taking taylor expansion of x in x 9.224 * [backup-simplify]: Simplify 0 into 0 9.224 * [backup-simplify]: Simplify 1 into 1 9.225 * [backup-simplify]: Simplify (* 11/128 1) into 11/128 9.225 * [backup-simplify]: Simplify (- 11/128) into -11/128 9.225 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 9.225 * [backup-simplify]: Simplify (* 1 1) into 1 9.226 * [backup-simplify]: Simplify (/ -11/128 1) into -11/128 9.226 * [backup-simplify]: Simplify (* 1 69/1024) into 69/1024 9.226 * [backup-simplify]: Simplify (+ 69/1024 0) into 69/1024 9.226 * [backup-simplify]: Simplify 69/1024 into 69/1024 9.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 69/1024)) into 0 9.228 * [backup-simplify]: Simplify (+ 0 0) into 0 9.228 * [backup-simplify]: Simplify 0 into 0 9.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 69/1024))) into 0 9.231 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 9.231 * [backup-simplify]: Simplify -11/128 into -11/128 9.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 69/1024)))) into 0 9.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.236 * [backup-simplify]: Simplify (+ (* 11/128 0) (* 0 1)) into 0 9.236 * [backup-simplify]: Simplify (- 0) into 0 9.236 * [backup-simplify]: Simplify (+ 0 0) into 0 9.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -11/128 (/ 0 1)))) into 0 9.238 * [backup-simplify]: Simplify (+ 0 0) into 0 9.238 * [backup-simplify]: Simplify 0 into 0 9.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 69/1024))))) into 0 9.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.243 * [backup-simplify]: Simplify (+ (* 11/128 0) (+ (* 0 0) (* 0 1))) into 0 9.243 * [backup-simplify]: Simplify (- 0) into 0 9.243 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 9.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.245 * [backup-simplify]: Simplify (- (/ 1/8 1) (+ (* -11/128 (/ 0 1)) (* 0 (/ 0 1)))) into 1/8 9.246 * [backup-simplify]: Simplify (+ 0 1/8) into 1/8 9.246 * [backup-simplify]: Simplify 1/8 into 1/8 9.246 * [backup-simplify]: Simplify (+ (* 1/8 (pow (/ 1 (/ 1 x)) 2)) (+ (* -11/128 (pow (/ 1 (/ 1 x)) 4)) (* 69/1024 (pow (/ 1 (/ 1 x)) 6)))) into (- (+ (* 1/8 (pow x 2)) (* 69/1024 (pow x 6))) (* 11/128 (pow x 4))) 9.247 * [backup-simplify]: Simplify (fma (* (* (/ 1 (- x)) (* (/ 1 (- x)) (/ 1 (- x)))) (* (/ 1 (- x)) (* (/ 1 (- x)) (/ 1 (- x))))) 69/1024 (* (* (/ 1 (- x)) (/ 1 (- x))) (- 1/8 (* 11/128 (* (/ 1 (- x)) (/ 1 (- x))))))) into (fma (/ 1 (pow x 6)) 69/1024 (/ (- 1/8 (* 11/128 (/ 1 (pow x 2)))) (pow x 2))) 9.247 * [approximate]: Taking taylor expansion of (fma (/ 1 (pow x 6)) 69/1024 (/ (- 1/8 (* 11/128 (/ 1 (pow x 2)))) (pow x 2))) in (x) around 0 9.247 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow x 6)) 69/1024 (/ (- 1/8 (* 11/128 (/ 1 (pow x 2)))) (pow x 2))) in x 9.247 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow x 6)) 69/1024) (/ (- 1/8 (* 11/128 (/ 1 (pow x 2)))) (pow x 2))) 9.247 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 6)) 69/1024) in x 9.247 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 9.247 * [taylor]: Taking taylor expansion of (pow x 6) in x 9.247 * [taylor]: Taking taylor expansion of x in x 9.247 * [backup-simplify]: Simplify 0 into 0 9.247 * [backup-simplify]: Simplify 1 into 1 9.248 * [backup-simplify]: Simplify (* 1 1) into 1 9.248 * [backup-simplify]: Simplify (* 1 1) into 1 9.248 * [backup-simplify]: Simplify (* 1 1) into 1 9.253 * [backup-simplify]: Simplify (/ 1 1) into 1 9.253 * [taylor]: Taking taylor expansion of 69/1024 in x 9.253 * [backup-simplify]: Simplify 69/1024 into 69/1024 9.253 * [taylor]: Taking taylor expansion of (/ (- 1/8 (* 11/128 (/ 1 (pow x 2)))) (pow x 2)) in x 9.253 * [taylor]: Taking taylor expansion of (- 1/8 (* 11/128 (/ 1 (pow x 2)))) in x 9.253 * [taylor]: Taking taylor expansion of 1/8 in x 9.253 * [backup-simplify]: Simplify 1/8 into 1/8 9.253 * [taylor]: Taking taylor expansion of (* 11/128 (/ 1 (pow x 2))) in x 9.253 * [taylor]: Taking taylor expansion of 11/128 in x 9.253 * [backup-simplify]: Simplify 11/128 into 11/128 9.253 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.253 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.253 * [taylor]: Taking taylor expansion of x in x 9.253 * [backup-simplify]: Simplify 0 into 0 9.253 * [backup-simplify]: Simplify 1 into 1 9.254 * [backup-simplify]: Simplify (* 1 1) into 1 9.254 * [backup-simplify]: Simplify (/ 1 1) into 1 9.254 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.254 * [taylor]: Taking taylor expansion of x in x 9.254 * [backup-simplify]: Simplify 0 into 0 9.254 * [backup-simplify]: Simplify 1 into 1 9.255 * [backup-simplify]: Simplify (* 11/128 1) into 11/128 9.255 * [backup-simplify]: Simplify (- 11/128) into -11/128 9.256 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 9.256 * [backup-simplify]: Simplify (* 1 1) into 1 9.256 * [backup-simplify]: Simplify (/ -11/128 1) into -11/128 9.256 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow x 6)) 69/1024 (/ (- 1/8 (* 11/128 (/ 1 (pow x 2)))) (pow x 2))) in x 9.256 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow x 6)) 69/1024) (/ (- 1/8 (* 11/128 (/ 1 (pow x 2)))) (pow x 2))) 9.256 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 6)) 69/1024) in x 9.257 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 9.257 * [taylor]: Taking taylor expansion of (pow x 6) in x 9.257 * [taylor]: Taking taylor expansion of x in x 9.257 * [backup-simplify]: Simplify 0 into 0 9.257 * [backup-simplify]: Simplify 1 into 1 9.257 * [backup-simplify]: Simplify (* 1 1) into 1 9.257 * [backup-simplify]: Simplify (* 1 1) into 1 9.258 * [backup-simplify]: Simplify (* 1 1) into 1 9.258 * [backup-simplify]: Simplify (/ 1 1) into 1 9.258 * [taylor]: Taking taylor expansion of 69/1024 in x 9.258 * [backup-simplify]: Simplify 69/1024 into 69/1024 9.258 * [taylor]: Taking taylor expansion of (/ (- 1/8 (* 11/128 (/ 1 (pow x 2)))) (pow x 2)) in x 9.258 * [taylor]: Taking taylor expansion of (- 1/8 (* 11/128 (/ 1 (pow x 2)))) in x 9.258 * [taylor]: Taking taylor expansion of 1/8 in x 9.258 * [backup-simplify]: Simplify 1/8 into 1/8 9.258 * [taylor]: Taking taylor expansion of (* 11/128 (/ 1 (pow x 2))) in x 9.258 * [taylor]: Taking taylor expansion of 11/128 in x 9.258 * [backup-simplify]: Simplify 11/128 into 11/128 9.258 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.258 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.258 * [taylor]: Taking taylor expansion of x in x 9.258 * [backup-simplify]: Simplify 0 into 0 9.258 * [backup-simplify]: Simplify 1 into 1 9.259 * [backup-simplify]: Simplify (* 1 1) into 1 9.259 * [backup-simplify]: Simplify (/ 1 1) into 1 9.259 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.259 * [taylor]: Taking taylor expansion of x in x 9.259 * [backup-simplify]: Simplify 0 into 0 9.259 * [backup-simplify]: Simplify 1 into 1 9.260 * [backup-simplify]: Simplify (* 11/128 1) into 11/128 9.260 * [backup-simplify]: Simplify (- 11/128) into -11/128 9.260 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 9.261 * [backup-simplify]: Simplify (* 1 1) into 1 9.261 * [backup-simplify]: Simplify (/ -11/128 1) into -11/128 9.262 * [backup-simplify]: Simplify (* 1 69/1024) into 69/1024 9.262 * [backup-simplify]: Simplify (+ 69/1024 0) into 69/1024 9.262 * [backup-simplify]: Simplify 69/1024 into 69/1024 9.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 69/1024)) into 0 9.266 * [backup-simplify]: Simplify (+ 0 0) into 0 9.266 * [backup-simplify]: Simplify 0 into 0 9.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 69/1024))) into 0 9.271 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 9.272 * [backup-simplify]: Simplify -11/128 into -11/128 9.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 69/1024)))) into 0 9.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.276 * [backup-simplify]: Simplify (+ (* 11/128 0) (* 0 1)) into 0 9.276 * [backup-simplify]: Simplify (- 0) into 0 9.276 * [backup-simplify]: Simplify (+ 0 0) into 0 9.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.277 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -11/128 (/ 0 1)))) into 0 9.277 * [backup-simplify]: Simplify (+ 0 0) into 0 9.277 * [backup-simplify]: Simplify 0 into 0 9.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 69/1024))))) into 0 9.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.282 * [backup-simplify]: Simplify (+ (* 11/128 0) (+ (* 0 0) (* 0 1))) into 0 9.283 * [backup-simplify]: Simplify (- 0) into 0 9.283 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 9.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.284 * [backup-simplify]: Simplify (- (/ 1/8 1) (+ (* -11/128 (/ 0 1)) (* 0 (/ 0 1)))) into 1/8 9.284 * [backup-simplify]: Simplify (+ 0 1/8) into 1/8 9.284 * [backup-simplify]: Simplify 1/8 into 1/8 9.285 * [backup-simplify]: Simplify (+ (* 1/8 (pow (/ 1 (/ 1 (- x))) 2)) (+ (* -11/128 (pow (/ 1 (/ 1 (- x))) 4)) (* 69/1024 (pow (/ 1 (/ 1 (- x))) 6)))) into (- (+ (* 1/8 (pow x 2)) (* 69/1024 (pow x 6))) (* 11/128 (pow x 4))) 9.285 * * * * [progress]: [ 2 / 4 ] generating series at (2 3 2 2) 9.285 * [backup-simplify]: Simplify (* 11/128 (* x x)) into (* 11/128 (pow x 2)) 9.285 * [approximate]: Taking taylor expansion of (* 11/128 (pow x 2)) in (x) around 0 9.285 * [taylor]: Taking taylor expansion of (* 11/128 (pow x 2)) in x 9.285 * [taylor]: Taking taylor expansion of 11/128 in x 9.285 * [backup-simplify]: Simplify 11/128 into 11/128 9.285 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.285 * [taylor]: Taking taylor expansion of x in x 9.285 * [backup-simplify]: Simplify 0 into 0 9.285 * [backup-simplify]: Simplify 1 into 1 9.285 * [taylor]: Taking taylor expansion of (* 11/128 (pow x 2)) in x 9.285 * [taylor]: Taking taylor expansion of 11/128 in x 9.285 * [backup-simplify]: Simplify 11/128 into 11/128 9.285 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.285 * [taylor]: Taking taylor expansion of x in x 9.285 * [backup-simplify]: Simplify 0 into 0 9.285 * [backup-simplify]: Simplify 1 into 1 9.285 * [backup-simplify]: Simplify (* 1 1) into 1 9.286 * [backup-simplify]: Simplify (* 11/128 1) into 11/128 9.286 * [backup-simplify]: Simplify 11/128 into 11/128 9.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.286 * [backup-simplify]: Simplify (+ (* 11/128 0) (* 0 1)) into 0 9.286 * [backup-simplify]: Simplify 0 into 0 9.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.288 * [backup-simplify]: Simplify (+ (* 11/128 0) (+ (* 0 0) (* 0 1))) into 0 9.288 * [backup-simplify]: Simplify 0 into 0 9.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.289 * [backup-simplify]: Simplify (+ (* 11/128 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.289 * [backup-simplify]: Simplify 0 into 0 9.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.290 * [backup-simplify]: Simplify (+ (* 11/128 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.290 * [backup-simplify]: Simplify 0 into 0 9.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.292 * [backup-simplify]: Simplify (+ (* 11/128 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.292 * [backup-simplify]: Simplify 0 into 0 9.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.294 * [backup-simplify]: Simplify (+ (* 11/128 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.294 * [backup-simplify]: Simplify 0 into 0 9.294 * [backup-simplify]: Simplify (* 11/128 (pow x 2)) into (* 11/128 (pow x 2)) 9.294 * [backup-simplify]: Simplify (* 11/128 (* (/ 1 x) (/ 1 x))) into (/ 11/128 (pow x 2)) 9.294 * [approximate]: Taking taylor expansion of (/ 11/128 (pow x 2)) in (x) around 0 9.294 * [taylor]: Taking taylor expansion of (/ 11/128 (pow x 2)) in x 9.294 * [taylor]: Taking taylor expansion of 11/128 in x 9.294 * [backup-simplify]: Simplify 11/128 into 11/128 9.294 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.294 * [taylor]: Taking taylor expansion of x in x 9.294 * [backup-simplify]: Simplify 0 into 0 9.294 * [backup-simplify]: Simplify 1 into 1 9.294 * [backup-simplify]: Simplify (* 1 1) into 1 9.295 * [backup-simplify]: Simplify (/ 11/128 1) into 11/128 9.295 * [taylor]: Taking taylor expansion of (/ 11/128 (pow x 2)) in x 9.295 * [taylor]: Taking taylor expansion of 11/128 in x 9.295 * [backup-simplify]: Simplify 11/128 into 11/128 9.295 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.295 * [taylor]: Taking taylor expansion of x in x 9.295 * [backup-simplify]: Simplify 0 into 0 9.295 * [backup-simplify]: Simplify 1 into 1 9.295 * [backup-simplify]: Simplify (* 1 1) into 1 9.295 * [backup-simplify]: Simplify (/ 11/128 1) into 11/128 9.295 * [backup-simplify]: Simplify 11/128 into 11/128 9.296 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 11/128 (/ 0 1)))) into 0 9.296 * [backup-simplify]: Simplify 0 into 0 9.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.298 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 11/128 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.298 * [backup-simplify]: Simplify 0 into 0 9.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.299 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.299 * [backup-simplify]: Simplify 0 into 0 9.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.300 * [backup-simplify]: Simplify 0 into 0 9.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.302 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.302 * [backup-simplify]: Simplify 0 into 0 9.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.303 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.303 * [backup-simplify]: Simplify 0 into 0 9.303 * [backup-simplify]: Simplify (* 11/128 (pow (/ 1 (/ 1 x)) 2)) into (* 11/128 (pow x 2)) 9.303 * [backup-simplify]: Simplify (* 11/128 (* (/ 1 (- x)) (/ 1 (- x)))) into (/ 11/128 (pow x 2)) 9.303 * [approximate]: Taking taylor expansion of (/ 11/128 (pow x 2)) in (x) around 0 9.303 * [taylor]: Taking taylor expansion of (/ 11/128 (pow x 2)) in x 9.303 * [taylor]: Taking taylor expansion of 11/128 in x 9.303 * [backup-simplify]: Simplify 11/128 into 11/128 9.303 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.303 * [taylor]: Taking taylor expansion of x in x 9.303 * [backup-simplify]: Simplify 0 into 0 9.303 * [backup-simplify]: Simplify 1 into 1 9.304 * [backup-simplify]: Simplify (* 1 1) into 1 9.304 * [backup-simplify]: Simplify (/ 11/128 1) into 11/128 9.304 * [taylor]: Taking taylor expansion of (/ 11/128 (pow x 2)) in x 9.304 * [taylor]: Taking taylor expansion of 11/128 in x 9.304 * [backup-simplify]: Simplify 11/128 into 11/128 9.304 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.304 * [taylor]: Taking taylor expansion of x in x 9.304 * [backup-simplify]: Simplify 0 into 0 9.304 * [backup-simplify]: Simplify 1 into 1 9.304 * [backup-simplify]: Simplify (* 1 1) into 1 9.305 * [backup-simplify]: Simplify (/ 11/128 1) into 11/128 9.305 * [backup-simplify]: Simplify 11/128 into 11/128 9.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 11/128 (/ 0 1)))) into 0 9.306 * [backup-simplify]: Simplify 0 into 0 9.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 11/128 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.307 * [backup-simplify]: Simplify 0 into 0 9.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.308 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.308 * [backup-simplify]: Simplify 0 into 0 9.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.310 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.310 * [backup-simplify]: Simplify 0 into 0 9.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.313 * [backup-simplify]: Simplify 0 into 0 9.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.315 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.316 * [backup-simplify]: Simplify 0 into 0 9.316 * [backup-simplify]: Simplify (* 11/128 (pow (/ 1 (/ 1 (- x))) 2)) into (* 11/128 (pow x 2)) 9.316 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 9.316 * [backup-simplify]: Simplify (* (* x (* x x)) (* x (* x x))) into (pow x 6) 9.316 * [approximate]: Taking taylor expansion of (pow x 6) in (x) around 0 9.316 * [taylor]: Taking taylor expansion of (pow x 6) in x 9.316 * [taylor]: Taking taylor expansion of x in x 9.316 * [backup-simplify]: Simplify 0 into 0 9.316 * [backup-simplify]: Simplify 1 into 1 9.316 * [taylor]: Taking taylor expansion of (pow x 6) in x 9.316 * [taylor]: Taking taylor expansion of x in x 9.316 * [backup-simplify]: Simplify 0 into 0 9.316 * [backup-simplify]: Simplify 1 into 1 9.317 * [backup-simplify]: Simplify (* 1 1) into 1 9.317 * [backup-simplify]: Simplify (* 1 1) into 1 9.318 * [backup-simplify]: Simplify (* 1 1) into 1 9.318 * [backup-simplify]: Simplify 1 into 1 9.319 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.319 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.320 * [backup-simplify]: Simplify 0 into 0 9.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.323 * [backup-simplify]: Simplify 0 into 0 9.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.326 * [backup-simplify]: Simplify 0 into 0 9.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.330 * [backup-simplify]: Simplify 0 into 0 9.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.334 * [backup-simplify]: Simplify 0 into 0 9.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.339 * [backup-simplify]: Simplify 0 into 0 9.339 * [backup-simplify]: Simplify (* 1 (pow x 6)) into (pow x 6) 9.339 * [backup-simplify]: Simplify (* (* (/ 1 x) (* (/ 1 x) (/ 1 x))) (* (/ 1 x) (* (/ 1 x) (/ 1 x)))) into (/ 1 (pow x 6)) 9.339 * [approximate]: Taking taylor expansion of (/ 1 (pow x 6)) in (x) around 0 9.339 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 9.339 * [taylor]: Taking taylor expansion of (pow x 6) in x 9.339 * [taylor]: Taking taylor expansion of x in x 9.339 * [backup-simplify]: Simplify 0 into 0 9.339 * [backup-simplify]: Simplify 1 into 1 9.340 * [backup-simplify]: Simplify (* 1 1) into 1 9.340 * [backup-simplify]: Simplify (* 1 1) into 1 9.340 * [backup-simplify]: Simplify (* 1 1) into 1 9.341 * [backup-simplify]: Simplify (/ 1 1) into 1 9.341 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 9.341 * [taylor]: Taking taylor expansion of (pow x 6) in x 9.341 * [taylor]: Taking taylor expansion of x in x 9.341 * [backup-simplify]: Simplify 0 into 0 9.341 * [backup-simplify]: Simplify 1 into 1 9.341 * [backup-simplify]: Simplify (* 1 1) into 1 9.342 * [backup-simplify]: Simplify (* 1 1) into 1 9.342 * [backup-simplify]: Simplify (* 1 1) into 1 9.342 * [backup-simplify]: Simplify (/ 1 1) into 1 9.343 * [backup-simplify]: Simplify 1 into 1 9.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.346 * [backup-simplify]: Simplify 0 into 0 9.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.350 * [backup-simplify]: Simplify 0 into 0 9.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.354 * [backup-simplify]: Simplify 0 into 0 9.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.359 * [backup-simplify]: Simplify 0 into 0 9.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.364 * [backup-simplify]: Simplify 0 into 0 9.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.370 * [backup-simplify]: Simplify 0 into 0 9.370 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (/ 1 x)) 6)) into (pow x 6) 9.371 * [backup-simplify]: Simplify (* (* (/ 1 (- x)) (* (/ 1 (- x)) (/ 1 (- x)))) (* (/ 1 (- x)) (* (/ 1 (- x)) (/ 1 (- x))))) into (/ 1 (pow x 6)) 9.371 * [approximate]: Taking taylor expansion of (/ 1 (pow x 6)) in (x) around 0 9.371 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 9.371 * [taylor]: Taking taylor expansion of (pow x 6) in x 9.371 * [taylor]: Taking taylor expansion of x in x 9.371 * [backup-simplify]: Simplify 0 into 0 9.371 * [backup-simplify]: Simplify 1 into 1 9.377 * [backup-simplify]: Simplify (* 1 1) into 1 9.377 * [backup-simplify]: Simplify (* 1 1) into 1 9.377 * [backup-simplify]: Simplify (* 1 1) into 1 9.378 * [backup-simplify]: Simplify (/ 1 1) into 1 9.378 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 9.378 * [taylor]: Taking taylor expansion of (pow x 6) in x 9.378 * [taylor]: Taking taylor expansion of x in x 9.378 * [backup-simplify]: Simplify 0 into 0 9.378 * [backup-simplify]: Simplify 1 into 1 9.378 * [backup-simplify]: Simplify (* 1 1) into 1 9.378 * [backup-simplify]: Simplify (* 1 1) into 1 9.378 * [backup-simplify]: Simplify (* 1 1) into 1 9.379 * [backup-simplify]: Simplify (/ 1 1) into 1 9.379 * [backup-simplify]: Simplify 1 into 1 9.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.381 * [backup-simplify]: Simplify 0 into 0 9.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.383 * [backup-simplify]: Simplify 0 into 0 9.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.386 * [backup-simplify]: Simplify 0 into 0 9.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.388 * [backup-simplify]: Simplify 0 into 0 9.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.391 * [backup-simplify]: Simplify 0 into 0 9.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.395 * [backup-simplify]: Simplify 0 into 0 9.395 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (/ 1 (- x))) 6)) into (pow x 6) 9.395 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 9.395 * [backup-simplify]: Simplify (* x (* x x)) into (pow x 3) 9.395 * [approximate]: Taking taylor expansion of (pow x 3) in (x) around 0 9.395 * [taylor]: Taking taylor expansion of (pow x 3) in x 9.395 * [taylor]: Taking taylor expansion of x in x 9.395 * [backup-simplify]: Simplify 0 into 0 9.395 * [backup-simplify]: Simplify 1 into 1 9.395 * [taylor]: Taking taylor expansion of (pow x 3) in x 9.395 * [taylor]: Taking taylor expansion of x in x 9.395 * [backup-simplify]: Simplify 0 into 0 9.395 * [backup-simplify]: Simplify 1 into 1 9.395 * [backup-simplify]: Simplify (* 1 1) into 1 9.396 * [backup-simplify]: Simplify (* 1 1) into 1 9.396 * [backup-simplify]: Simplify 1 into 1 9.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.396 * [backup-simplify]: Simplify 0 into 0 9.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.397 * [backup-simplify]: Simplify 0 into 0 9.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.399 * [backup-simplify]: Simplify 0 into 0 9.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.400 * [backup-simplify]: Simplify 0 into 0 9.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.402 * [backup-simplify]: Simplify 0 into 0 9.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.403 * [backup-simplify]: Simplify 0 into 0 9.403 * [backup-simplify]: Simplify (* 1 (pow x 3)) into (pow x 3) 9.403 * [backup-simplify]: Simplify (* (/ 1 x) (* (/ 1 x) (/ 1 x))) into (/ 1 (pow x 3)) 9.403 * [approximate]: Taking taylor expansion of (/ 1 (pow x 3)) in (x) around 0 9.403 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 9.403 * [taylor]: Taking taylor expansion of (pow x 3) in x 9.404 * [taylor]: Taking taylor expansion of x in x 9.404 * [backup-simplify]: Simplify 0 into 0 9.404 * [backup-simplify]: Simplify 1 into 1 9.404 * [backup-simplify]: Simplify (* 1 1) into 1 9.404 * [backup-simplify]: Simplify (* 1 1) into 1 9.404 * [backup-simplify]: Simplify (/ 1 1) into 1 9.404 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 9.404 * [taylor]: Taking taylor expansion of (pow x 3) in x 9.404 * [taylor]: Taking taylor expansion of x in x 9.404 * [backup-simplify]: Simplify 0 into 0 9.404 * [backup-simplify]: Simplify 1 into 1 9.405 * [backup-simplify]: Simplify (* 1 1) into 1 9.405 * [backup-simplify]: Simplify (* 1 1) into 1 9.405 * [backup-simplify]: Simplify (/ 1 1) into 1 9.405 * [backup-simplify]: Simplify 1 into 1 9.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.406 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.406 * [backup-simplify]: Simplify 0 into 0 9.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.408 * [backup-simplify]: Simplify 0 into 0 9.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.410 * [backup-simplify]: Simplify 0 into 0 9.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.412 * [backup-simplify]: Simplify 0 into 0 9.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.414 * [backup-simplify]: Simplify 0 into 0 9.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.416 * [backup-simplify]: Simplify 0 into 0 9.416 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (/ 1 x)) 3)) into (pow x 3) 9.416 * [backup-simplify]: Simplify (* (/ 1 (- x)) (* (/ 1 (- x)) (/ 1 (- x)))) into (/ -1 (pow x 3)) 9.416 * [approximate]: Taking taylor expansion of (/ -1 (pow x 3)) in (x) around 0 9.416 * [taylor]: Taking taylor expansion of (/ -1 (pow x 3)) in x 9.416 * [taylor]: Taking taylor expansion of -1 in x 9.416 * [backup-simplify]: Simplify -1 into -1 9.416 * [taylor]: Taking taylor expansion of (pow x 3) in x 9.416 * [taylor]: Taking taylor expansion of x in x 9.416 * [backup-simplify]: Simplify 0 into 0 9.416 * [backup-simplify]: Simplify 1 into 1 9.417 * [backup-simplify]: Simplify (* 1 1) into 1 9.417 * [backup-simplify]: Simplify (* 1 1) into 1 9.417 * [backup-simplify]: Simplify (/ -1 1) into -1 9.417 * [taylor]: Taking taylor expansion of (/ -1 (pow x 3)) in x 9.417 * [taylor]: Taking taylor expansion of -1 in x 9.417 * [backup-simplify]: Simplify -1 into -1 9.417 * [taylor]: Taking taylor expansion of (pow x 3) in x 9.417 * [taylor]: Taking taylor expansion of x in x 9.417 * [backup-simplify]: Simplify 0 into 0 9.417 * [backup-simplify]: Simplify 1 into 1 9.417 * [backup-simplify]: Simplify (* 1 1) into 1 9.418 * [backup-simplify]: Simplify (* 1 1) into 1 9.418 * [backup-simplify]: Simplify (/ -1 1) into -1 9.418 * [backup-simplify]: Simplify -1 into -1 9.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.419 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.419 * [backup-simplify]: Simplify 0 into 0 9.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.421 * [backup-simplify]: Simplify 0 into 0 9.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.423 * [backup-simplify]: Simplify 0 into 0 9.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.425 * [backup-simplify]: Simplify 0 into 0 9.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.427 * [backup-simplify]: Simplify 0 into 0 9.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.429 * [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 9.429 * [backup-simplify]: Simplify 0 into 0 9.429 * [backup-simplify]: Simplify (* -1 (pow (/ 1 (/ 1 (- x))) 3)) into (pow x 3) 9.429 * * * [progress]: simplifying candidates 9.429 * * * * [progress]: [ 1 / 170 ] simplifiying candidate # 9.429 * * * * [progress]: [ 2 / 170 ] simplifiying candidate # 9.429 * * * * [progress]: [ 3 / 170 ] simplifiying candidate # 9.429 * * * * [progress]: [ 4 / 170 ] simplifiying candidate # 9.429 * * * * [progress]: [ 5 / 170 ] simplifiying candidate # 9.429 * * * * [progress]: [ 6 / 170 ] simplifiying candidate # 9.430 * * * * [progress]: [ 7 / 170 ] simplifiying candidate # 9.430 * * * * [progress]: [ 8 / 170 ] simplifiying candidate # 9.430 * * * * [progress]: [ 9 / 170 ] simplifiying candidate # 9.430 * * * * [progress]: [ 10 / 170 ] simplifiying candidate # 9.430 * * * * [progress]: [ 11 / 170 ] simplifiying candidate # 9.430 * * * * [progress]: [ 12 / 170 ] simplifiying candidate # 9.430 * * * * [progress]: [ 13 / 170 ] simplifiying candidate # 9.430 * * * * [progress]: [ 14 / 170 ] simplifiying candidate # 9.430 * * * * [progress]: [ 15 / 170 ] simplifiying candidate # 9.430 * * * * [progress]: [ 16 / 170 ] simplifiying candidate # 9.430 * * * * [progress]: [ 17 / 170 ] simplifiying candidate # 9.430 * * * * [progress]: [ 18 / 170 ] simplifiying candidate # 9.430 * * * * [progress]: [ 19 / 170 ] simplifiying candidate # 9.430 * * * * [progress]: [ 20 / 170 ] simplifiying candidate # 9.430 * * * * [progress]: [ 21 / 170 ] simplifiying candidate # 9.430 * * * * [progress]: [ 22 / 170 ] simplifiying candidate # 9.430 * * * * [progress]: [ 23 / 170 ] simplifiying candidate # 9.430 * * * * [progress]: [ 24 / 170 ] simplifiying candidate # 9.430 * * * * [progress]: [ 25 / 170 ] simplifiying candidate # 9.430 * * * * [progress]: [ 26 / 170 ] simplifiying candidate # 9.430 * * * * [progress]: [ 27 / 170 ] simplifiying candidate # 9.430 * * * * [progress]: [ 28 / 170 ] simplifiying candidate # 9.430 * * * * [progress]: [ 29 / 170 ] simplifiying candidate # 9.431 * * * * [progress]: [ 30 / 170 ] simplifiying candidate # 9.431 * * * * [progress]: [ 31 / 170 ] simplifiying candidate # 9.431 * * * * [progress]: [ 32 / 170 ] simplifiying candidate # 9.431 * * * * 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9.436 * * * * [progress]: [ 157 / 170 ] simplifiying candidate # 9.436 * * * * [progress]: [ 158 / 170 ] simplifiying candidate # 9.436 * * * * [progress]: [ 159 / 170 ] simplifiying candidate # 9.436 * * * * [progress]: [ 160 / 170 ] simplifiying candidate # 9.436 * * * * [progress]: [ 161 / 170 ] simplifiying candidate # 9.436 * * * * [progress]: [ 162 / 170 ] simplifiying candidate # 9.436 * * * * [progress]: [ 163 / 170 ] simplifiying candidate # 9.436 * * * * [progress]: [ 164 / 170 ] simplifiying candidate # 9.436 * * * * [progress]: [ 165 / 170 ] simplifiying candidate # 9.436 * * * * [progress]: [ 166 / 170 ] simplifiying candidate # 9.436 * * * * [progress]: [ 167 / 170 ] simplifiying candidate # 9.436 * * * * [progress]: [ 168 / 170 ] simplifiying candidate # 9.436 * * * * [progress]: [ 169 / 170 ] simplifiying candidate # 9.436 * * * * [progress]: [ 170 / 170 ] simplifiying candidate # 9.437 * [simplify]: Simplifying: (expm1 (fma (* (* x (* x x)) (* x (* x x))) 69/1024 (* (* x x) (- 1/8 (* 11/128 (* x x)))))) (log1p (fma (* (* x (* x x)) (* x (* x x))) 69/1024 (* (* x x) (- 1/8 (* 11/128 (* x x)))))) (* (* (* x (* x x)) (* x (* x x))) 69/1024) (log (fma (* (* x (* x x)) (* x (* x x))) 69/1024 (* (* x x) (- 1/8 (* 11/128 (* x x)))))) (exp (fma (* (* x (* x x)) (* x (* x x))) 69/1024 (* (* x x) (- 1/8 (* 11/128 (* x x)))))) (* (cbrt (fma (* (* x (* x x)) (* x (* x x))) 69/1024 (* (* x x) (- 1/8 (* 11/128 (* x x)))))) (cbrt (fma (* (* x (* x x)) (* x (* x x))) 69/1024 (* (* x x) (- 1/8 (* 11/128 (* x x))))))) (cbrt (fma (* (* x (* x x)) (* x (* x x))) 69/1024 (* (* x x) (- 1/8 (* 11/128 (* x x)))))) (* (* (fma (* (* x (* x x)) (* x (* x x))) 69/1024 (* (* x x) (- 1/8 (* 11/128 (* x x))))) (fma (* (* x (* x x)) (* x (* x x))) 69/1024 (* (* x x) (- 1/8 (* 11/128 (* x x)))))) (fma (* (* x (* x x)) (* x (* x x))) 69/1024 (* (* x x) (- 1/8 (* 11/128 (* x x)))))) (sqrt (fma (* (* x (* x x)) (* x (* x x))) 69/1024 (* (* x x) (- 1/8 (* 11/128 (* x x)))))) (sqrt (fma (* (* x (* x x)) (* x (* x x))) 69/1024 (* (* x x) (- 1/8 (* 11/128 (* x x)))))) (expm1 (* 11/128 (* x x))) (log1p (* 11/128 (* x x))) (* 11/128 (* x x)) (* 11/128 (* x x)) (+ (log 11/128) (+ (log x) (log x))) (+ (log 11/128) (log (* x x))) (log (* 11/128 (* x x))) (exp (* 11/128 (* x x))) (* (* (* 11/128 11/128) 11/128) (* (* (* x x) x) (* (* x x) x))) (* (* (* 11/128 11/128) 11/128) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (* 11/128 (* x x))) (cbrt (* 11/128 (* x x)))) (cbrt (* 11/128 (* x x))) (* (* (* 11/128 (* x x)) (* 11/128 (* x x))) (* 11/128 (* x x))) (sqrt (* 11/128 (* x x))) (sqrt (* 11/128 (* x x))) (* (sqrt 11/128) x) (* (sqrt 11/128) x) (* 11/128 x) (* (cbrt 11/128) (* x x)) (* (sqrt 11/128) (* x x)) (* 11/128 (* x x)) (expm1 (* (* x (* x x)) (* x (* x x)))) (log1p (* (* x (* x x)) (* x (* x x)))) (+ (+ 1 (+ 1 1)) (+ 1 (+ 1 1))) (+ (+ 1 (+ 1 1)) (+ 1 2)) (+ (+ 1 (+ 1 1)) (+ 1 (+ 1 1))) (+ (+ 1 (+ 1 1)) (+ 1 (* 2 1))) (+ (+ 1 (+ 1 1)) 3) (+ (+ 1 2) (+ 1 (+ 1 1))) (+ (+ 1 2) (+ 1 2)) (+ (+ 1 2) (+ 1 (+ 1 1))) (+ (+ 1 2) (+ 1 (* 2 1))) (+ (+ 1 2) 3) (+ (+ 1 (+ 1 1)) (+ 1 (+ 1 1))) (+ (+ 1 (+ 1 1)) (+ 1 2)) (+ (+ 1 (+ 1 1)) (+ 1 (+ 1 1))) (+ (+ 1 (+ 1 1)) (+ 1 (* 2 1))) (+ (+ 1 (+ 1 1)) 3) (+ (+ 1 (* 2 1)) (+ 1 (+ 1 1))) (+ (+ 1 (* 2 1)) (+ 1 2)) (+ (+ 1 (* 2 1)) (+ 1 (+ 1 1))) (+ (+ 1 (* 2 1)) (+ 1 (* 2 1))) (+ (+ 1 (* 2 1)) 3) (+ 1 1) (+ 1 1) (+ 1 1) (+ 1 1) (+ 1 1) (+ 1 1) (+ 1 1) (+ 1 1) (+ 1 1) (+ 3 (+ 1 (+ 1 1))) (+ 3 (+ 1 2)) (+ 3 (+ 1 (+ 1 1))) (+ 3 (+ 1 (* 2 1))) (+ 3 3) (* x x) (* x x) (* x x) (* x x) (* x x) (* x x) (* (* x (* x x)) (* x (* x x))) (* (* x (* x x)) (* x (* x x))) (* (* x (* x x)) (* x (* x x))) (* (* x (* x x)) (* x (* x x))) (* (* x (* x x)) (* x (* x x))) (* (* x (* x x)) (* x (* x x))) (* (* x (* x x)) (* x (* x x))) (* (* x (* x x)) (* x (* x x))) (* (* x (* x x)) (* x (* x x))) (* x x) (+ 1 1) (+ 1 1) (+ 1 1) (+ (+ (log x) (+ (log x) (log x))) (+ (log x) (+ (log x) (log x)))) (+ (+ (log x) (+ (log x) (log x))) (+ (log x) (log (* x x)))) (+ (+ (log x) (+ (log x) (log x))) (log (* x (* x x)))) (+ (+ (log x) (log (* x x))) (+ (log x) (+ (log x) (log x)))) (+ (+ (log x) (log (* x x))) (+ (log x) (log (* x x)))) (+ (+ (log x) (log (* x x))) (log (* x (* x x)))) (+ (log (* x (* x x))) (+ (log x) (+ (log x) (log x)))) (+ (log (* x (* x x))) (+ (log x) (log (* x x)))) (+ (log (* x (* x x))) (log (* x (* x x)))) (log (* (* x (* x x)) (* x (* x x)))) (exp (* (* x (* x x)) (* x (* x x)))) (* (* (* (* x x) x) (* (* (* x x) x) (* (* x x) x))) (* (* (* x x) x) (* (* (* x x) x) (* (* x x) x)))) (* (* (* (* x x) x) (* (* (* x x) x) (* (* x x) x))) (* (* (* x x) x) (* (* (* x x) (* x x)) (* x x)))) (* (* (* (* x x) x) (* (* (* x x) x) (* (* x x) x))) (* (* (* x (* x x)) (* x (* x x))) (* x (* x x)))) (* (* (* (* x x) x) (* (* (* x x) (* x x)) (* x x))) (* (* (* x x) x) (* (* (* x x) x) (* (* x x) x)))) (* (* (* (* x x) x) (* (* (* x x) (* x x)) (* x x))) (* (* (* x x) x) (* (* (* x x) (* x x)) (* x x)))) (* (* (* (* x x) x) (* (* (* x x) (* x x)) (* x x))) (* (* (* x (* x x)) (* x (* x x))) (* x (* x x)))) (* (* (* (* x (* x x)) (* x (* x x))) (* x (* x x))) (* (* (* x x) x) (* (* (* x x) x) (* (* x x) x)))) (* (* (* (* x (* x x)) (* x (* x x))) (* x (* x x))) (* (* (* x x) x) (* (* (* x x) (* x x)) (* x x)))) (* (* (* (* x (* x x)) (* x (* x x))) (* x (* x x))) (* (* (* x (* x x)) (* x (* x x))) (* x (* x x)))) (* (cbrt (* (* x (* x x)) (* x (* x x)))) (cbrt (* (* x (* x x)) (* x (* x x))))) (cbrt (* (* x (* x x)) (* x (* x x)))) (* (* (* (* x (* x x)) (* x (* x x))) (* (* x (* x x)) (* x (* x x)))) (* (* x (* x x)) (* x (* x x)))) (sqrt (* (* x (* x x)) (* x (* x x)))) (sqrt (* (* x (* x x)) (* x (* x x)))) (* x x) (* (* x x) (* x x)) (* 2 (+ 1 (+ 1 1))) (* 2 (+ 1 (+ 1 1))) (* 2 (+ 1 2)) (* 2 (+ 1 (+ 1 1))) (* 2 (+ 1 (+ 1 1))) (* 2 (+ 1 (* 2 1))) (* 2 1) (* 2 1) (* 2 1) (* 2 1) (* 2 1) (* 2 1) (* 2 1) (* 2 1) (* 2 1) (* 2 3) (* (* x (* x x)) x) (* (* x x) (* x (* x x))) (expm1 (* x (* x x))) (log1p (* x (* x x))) (+ 1 (+ 1 1)) (+ 1 2) (+ 1 (+ 1 1)) (+ 1 (* 2 1)) (* x (* x x)) (* x (* x x)) (+ (log x) (+ (log x) (log x))) (+ (log x) (log (* x x))) (log (* x (* x x))) (exp (* x (* x x))) (* (* (* x x) x) (* (* (* x x) x) (* (* x x) x))) (* (* (* x x) x) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (* x (* x x))) (cbrt (* x (* x x)))) (cbrt (* x (* x x))) (* (* (* x (* x x)) (* x (* x x))) (* x (* x x))) (sqrt (* x (* x x))) (sqrt (* x (* x x))) (* (sqrt x) x) (* (sqrt x) x) (* x x) (* (cbrt x) (* x x)) (* (sqrt x) (* x x)) (* x (* x x)) (- (+ (* 1/8 (pow x 2)) (* 69/1024 (pow x 6))) (* 11/128 (pow x 4))) (- (+ (* 1/8 (pow x 2)) (* 69/1024 (pow x 6))) (* 11/128 (pow x 4))) (- (+ (* 1/8 (pow x 2)) (* 69/1024 (pow x 6))) (* 11/128 (pow x 4))) (* 11/128 (pow x 2)) (* 11/128 (pow x 2)) (* 11/128 (pow x 2)) (pow x 6) (pow x 6) (pow x 6) (pow x 3) (pow x 3) (pow x 3) 9.439 * * [simplify]: iteration 1: (136 enodes) 9.495 * * [simplify]: iteration 2: (342 enodes) 9.707 * * [simplify]: iteration 3: (830 enodes) 11.039 * * [simplify]: Extracting #0: cost 47 inf + 0 11.040 * * [simplify]: Extracting #1: cost 408 inf + 4 11.045 * * [simplify]: Extracting #2: cost 527 inf + 18303 11.060 * * [simplify]: Extracting #3: cost 287 inf + 68406 11.089 * * [simplify]: Extracting #4: cost 24 inf + 153731 11.137 * * [simplify]: Extracting #5: cost 0 inf + 162527 11.175 * * [simplify]: Extracting #6: cost 0 inf + 162347 11.239 * [simplify]: Simplified to: (expm1 (fma 1/8 (* x x) (fma (* x x) (* (* (* x x) (* x x)) 69/1024) (* (* (* x x) (* x x)) -11/128)))) (log1p (fma 1/8 (* x x) (fma (* x x) (* (* (* x x) (* x x)) 69/1024) (* (* (* x x) (* x x)) -11/128)))) (* (* x x) (* (* (* x x) (* x x)) 69/1024)) (log (fma 1/8 (* x x) (fma (* x x) (* (* (* x x) (* x x)) 69/1024) (* (* (* x x) (* x x)) -11/128)))) (exp (fma 1/8 (* x x) (fma (* x x) (* (* (* x x) (* x x)) 69/1024) (* (* (* x x) (* x x)) -11/128)))) (* (cbrt (fma 1/8 (* x x) (fma (* x x) (* (* (* x x) (* x x)) 69/1024) (* (* (* x x) (* x x)) -11/128)))) (cbrt (fma 1/8 (* x x) (fma (* x x) (* (* (* x x) (* x x)) 69/1024) (* (* (* x x) (* x x)) -11/128))))) (cbrt (fma 1/8 (* x x) (fma (* x x) (* (* (* x x) (* x x)) 69/1024) (* (* (* x x) (* x x)) -11/128)))) (* (fma 1/8 (* x x) (fma (* x x) (* (* (* x x) (* x x)) 69/1024) (* (* (* x x) (* x x)) -11/128))) (* (fma 1/8 (* x x) (fma (* x x) (* (* (* x x) (* x x)) 69/1024) (* (* (* x x) (* x x)) -11/128))) (fma 1/8 (* x x) (fma (* x x) (* (* (* x x) (* x x)) 69/1024) (* (* (* x x) (* x x)) -11/128))))) (sqrt (fma 1/8 (* x x) (fma (* x x) (* (* (* x x) (* x x)) 69/1024) (* (* (* x x) (* x x)) -11/128)))) (sqrt (fma 1/8 (* x x) (fma (* x x) (* (* (* x x) (* x x)) 69/1024) (* (* (* x x) (* x x)) -11/128)))) (expm1 (* (* x x) 11/128)) (log1p (* (* x x) 11/128)) (* (* x x) 11/128) (* (* x x) 11/128) (log (* (* x x) 11/128)) (log (* (* x x) 11/128)) (log (* (* x x) 11/128)) (exp (* (* x x) 11/128)) (* (* (* x x) (* (* x x) 1331/2097152)) (* x x)) (* (* (* x x) (* (* x x) 1331/2097152)) (* x x)) (* (cbrt (* (* x x) 11/128)) (cbrt (* (* x x) 11/128))) (cbrt (* (* x x) 11/128)) (* (* (* x x) (* (* x x) 1331/2097152)) (* x x)) (sqrt (* (* x x) 11/128)) (sqrt (* (* x x) 11/128)) (* x (sqrt 11/128)) (* x (sqrt 11/128)) (* x 11/128) (* (cbrt 11/128) (* x x)) (* x (* x (sqrt 11/128))) (* (* x x) 11/128) (expm1 (* (* x (* x x)) (* x (* x x)))) (log1p (* (* x (* x x)) (* x (* x x)))) 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 2 2 2 2 2 2 6 6 6 6 6 (* x x) (* x x) (* x x) (* x x) (* x x) (* x x) (* (* x (* x x)) (* x (* x x))) (* (* x (* x x)) (* x (* x x))) (* (* x (* x x)) (* x (* x x))) (* (* x (* x x)) (* x (* x x))) (* (* x (* x x)) (* x (* x x))) (* (* x (* x x)) (* x (* x x))) (* (* x (* x x)) (* x (* x x))) (* (* x (* x x)) (* x (* x x))) (* (* x (* x x)) (* x (* x x))) (* x x) 2 2 2 (* 6 (log x)) (* 6 (log x)) (* 6 (log x)) (* 6 (log x)) (* 6 (log x)) (* 6 (log x)) (* 6 (log x)) (* 6 (log x)) (* 6 (log x)) (* 6 (log x)) (exp (* (* x (* x x)) (* x (* x x)))) (* (* (* (* x (* x x)) (* x (* x x))) (* (* x (* x x)) (* x (* x x)))) (* (* x (* x x)) (* x (* x x)))) (* (* (* (* x (* x x)) (* x (* x x))) (* (* x (* x x)) (* x (* x x)))) (* (* x (* x x)) (* x (* x x)))) (* (* (* (* x (* x x)) (* x (* x x))) (* (* x (* x x)) (* x (* x x)))) (* (* x (* x x)) (* x (* x x)))) (* (* (* (* x (* x x)) (* x (* x x))) (* (* x (* x x)) (* x (* x x)))) (* (* x (* x x)) (* x (* x x)))) (* (* (* (* x (* x x)) (* x (* x x))) (* (* x (* x x)) (* x (* x x)))) (* (* x (* x x)) (* x (* x x)))) (* (* (* (* x (* x x)) (* x (* x x))) (* (* x (* x x)) (* x (* x x)))) (* (* x (* x x)) (* x (* x x)))) (* (* (* (* x (* x x)) (* x (* x x))) (* (* x (* x x)) (* x (* x x)))) (* (* x (* x x)) (* x (* x x)))) (* (* (* (* x (* x x)) (* x (* x x))) (* (* x (* x x)) (* x (* x x)))) (* (* x (* x x)) (* x (* x x)))) (* (* (* (* x (* x x)) (* x (* x x))) (* (* x (* x x)) (* x (* x x)))) (* (* x (* x x)) (* x (* x x)))) (* (* x x) (* x x)) (* x x) (* (* (* (* x (* x x)) (* x (* x x))) (* (* x (* x x)) (* x (* x x)))) (* (* x (* x x)) (* x (* x x)))) (fabs (* x (* x x))) (fabs (* x (* x x))) (* x x) (* (* x x) (* x x)) 6 6 6 6 6 6 2 2 2 2 2 2 2 2 2 6 (* (* x x) (* x x)) (* (* x (* x x)) (* x x)) (expm1 (* x (* x x))) (log1p (* x (* x x))) 3 3 3 3 (* x (* x x)) (* x (* x x)) (* 3 (log x)) (* 3 (log x)) (* 3 (log x)) (exp (* x (* x x))) (* x (* (* (* x x) (* x x)) (* (* x x) (* x x)))) (* x (* (* (* x x) (* x x)) (* (* x x) (* x x)))) (* x x) x (* x (* (* (* x x) (* x x)) (* (* x x) (* x x)))) (sqrt (* x (* x x))) (sqrt (* x (* x x))) (* (sqrt x) x) (* (sqrt x) x) (* x x) (* (* (cbrt x) x) x) (* (* x x) (sqrt x)) (* x (* x x)) (fma 1/8 (* x x) (fma (* x x) (* (* (* x x) (* x x)) 69/1024) (* (* (* x x) (* x x)) -11/128))) (fma 1/8 (* x x) (fma (* x x) (* (* (* x x) (* x x)) 69/1024) (* (* (* x x) (* x x)) -11/128))) (fma 1/8 (* x x) (fma (* x x) (* (* (* x x) (* x x)) 69/1024) (* (* (* x x) (* x x)) -11/128))) (* (* x x) 11/128) (* (* x x) 11/128) (* (* x x) 11/128) (* (* x (* x x)) (* x (* x x))) (* (* x (* x x)) (* x (* x x))) (* (* x (* x x)) (* x (* x x))) (* x (* x x)) (* x (* x x)) (* x (* x x)) 11.255 * * * [progress]: adding candidates to table 12.789 * [progress]: [Phase 3 of 3] Extracting. 12.789 * * [regime]: Finding splitpoints for: (# #) 12.789 * * * [regime-changes]: Trying 2 branch expressions: ((hypot 1 x) x) 12.789 * * * * [regimes]: Trying to branch on (hypot 1 x) from (# #) 12.810 * * * * [regimes]: Trying to branch on x from (# #) 12.850 * * * [regime]: Found split indices: #