64.192 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.069 * * * [progress]: [2/2] Setting up program. 0.074 * [progress]: [Phase 2 of 3] Improving. 0.074 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.074 * [simplify]: Simplifying: (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (hypot 1 x)))))) 0.074 * * [simplify]: iteration 1: (9 enodes) 0.078 * * [simplify]: iteration 2: (19 enodes) 0.083 * * [simplify]: iteration 3: (23 enodes) 0.088 * * [simplify]: iteration 4: (25 enodes) 0.092 * * [simplify]: Extracting #0: cost 1 inf + 0 0.093 * * [simplify]: Extracting #1: cost 4 inf + 0 0.093 * * [simplify]: Extracting #2: cost 4 inf + 1 0.093 * * [simplify]: Extracting #3: cost 8 inf + 1 0.093 * * [simplify]: Extracting #4: cost 8 inf + 2 0.093 * * [simplify]: Extracting #5: cost 9 inf + 2 0.093 * * [simplify]: Extracting #6: cost 0 inf + 1204 0.093 * * [simplify]: Extracting #7: cost 0 inf + 1144 0.094 * [simplify]: Simplified to: (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 0.104 * * [progress]: iteration 1 / 4 0.104 * * * [progress]: picking best candidate 0.108 * * * * [pick]: Picked # 0.108 * * * [progress]: localizing error 0.144 * * * [progress]: generating rewritten candidates 0.144 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.178 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.182 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.188 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2) 0.190 * * * [progress]: generating series expansions 0.190 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.190 * [backup-simplify]: Simplify (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) 0.190 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in (x) around 0 0.190 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x 0.190 * [taylor]: Taking taylor expansion of 1 in x 0.190 * [backup-simplify]: Simplify 1 into 1 0.190 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.190 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.190 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.190 * [taylor]: Taking taylor expansion of 1/2 in x 0.190 * [backup-simplify]: Simplify 1/2 into 1/2 0.190 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.190 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.190 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.190 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.190 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.190 * [taylor]: Taking taylor expansion of 1 in x 0.190 * [backup-simplify]: Simplify 1 into 1 0.190 * [taylor]: Taking taylor expansion of 1 in x 0.190 * [backup-simplify]: Simplify 1 into 1 0.191 * [taylor]: Taking taylor expansion of (* x x) in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 1 into 1 0.191 * [taylor]: Taking taylor expansion of x in x 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 1 into 1 0.191 * [backup-simplify]: Simplify (* 1 1) into 1 0.191 * [backup-simplify]: Simplify (* 0 0) into 0 0.192 * [backup-simplify]: Simplify (+ 1 0) into 1 0.192 * [backup-simplify]: Simplify (sqrt 1) into 1 0.192 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.193 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.193 * [backup-simplify]: Simplify (+ 0 0) into 0 0.193 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.194 * [backup-simplify]: Simplify (/ 1 1) into 1 0.194 * [taylor]: Taking taylor expansion of 1/2 in x 0.194 * [backup-simplify]: Simplify 1/2 into 1/2 0.194 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.194 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.195 * [backup-simplify]: Simplify (sqrt 1) into 1 0.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.195 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.196 * [backup-simplify]: Simplify (+ 0 0) into 0 0.196 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.196 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x 0.196 * [taylor]: Taking taylor expansion of 1 in x 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.196 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.196 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.196 * [taylor]: Taking taylor expansion of 1/2 in x 0.196 * [backup-simplify]: Simplify 1/2 into 1/2 0.196 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.196 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.196 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.196 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.196 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.196 * [taylor]: Taking taylor expansion of 1 in x 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [taylor]: Taking taylor expansion of 1 in x 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [taylor]: Taking taylor expansion of (* x x) in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [taylor]: Taking taylor expansion of x in x 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.197 * [backup-simplify]: Simplify (* 1 1) into 1 0.197 * [backup-simplify]: Simplify (* 0 0) into 0 0.197 * [backup-simplify]: Simplify (+ 1 0) into 1 0.198 * [backup-simplify]: Simplify (sqrt 1) into 1 0.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.198 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.199 * [backup-simplify]: Simplify (+ 0 0) into 0 0.199 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.199 * [backup-simplify]: Simplify (/ 1 1) into 1 0.199 * [taylor]: Taking taylor expansion of 1/2 in x 0.199 * [backup-simplify]: Simplify 1/2 into 1/2 0.200 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.200 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.200 * [backup-simplify]: Simplify (sqrt 1) into 1 0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.201 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.202 * [backup-simplify]: Simplify (+ 0 0) into 0 0.202 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.203 * [backup-simplify]: Simplify (- 1) into -1 0.203 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.203 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify (- 0) into 0 0.204 * [backup-simplify]: Simplify (+ 0 0) into 0 0.204 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.206 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.206 * [backup-simplify]: Simplify (+ 0 1) into 1 0.207 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.209 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.210 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.211 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 0.211 * [backup-simplify]: Simplify (- -1/8) into 1/8 0.212 * [backup-simplify]: Simplify (+ 0 1/8) into 1/8 0.212 * [backup-simplify]: Simplify 1/8 into 1/8 0.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.214 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.219 * [backup-simplify]: Simplify (+ 0 0) into 0 0.221 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 0.224 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 0.224 * [backup-simplify]: Simplify (+ 0 0) into 0 0.225 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 0.226 * [backup-simplify]: Simplify (- 0) into 0 0.226 * [backup-simplify]: Simplify (+ 0 0) into 0 0.226 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.227 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.228 * [backup-simplify]: Simplify (+ 0 0) into 0 0.229 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 0.231 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 0.231 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 0.232 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 0.232 * [backup-simplify]: Simplify (- 11/128) into -11/128 0.232 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 0.232 * [backup-simplify]: Simplify -11/128 into -11/128 0.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.234 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.234 * [backup-simplify]: Simplify (+ 0 0) into 0 0.235 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 0.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 0.238 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 0.238 * [backup-simplify]: Simplify (+ 0 0) into 0 0.239 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 11/128)) (* 2 (* -1/8 0)))) (* 2 1)) into 0 0.239 * [backup-simplify]: Simplify (- 0) into 0 0.240 * [backup-simplify]: Simplify (+ 0 0) into 0 0.240 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.241 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.242 * [backup-simplify]: Simplify (+ 0 0) into 0 0.243 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 0.244 * [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 0.246 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 0.246 * [backup-simplify]: Simplify (+ -5/32 0) into -5/32 0.247 * [backup-simplify]: Simplify (/ (- -5/32 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -1/8 11/128)))) (* 2 1)) into -69/1024 0.247 * [backup-simplify]: Simplify (- -69/1024) into 69/1024 0.248 * [backup-simplify]: Simplify (+ 0 69/1024) into 69/1024 0.248 * [backup-simplify]: Simplify 69/1024 into 69/1024 0.248 * [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))) 0.248 * [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))) 0.248 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in (x) around 0 0.248 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 0.248 * [taylor]: Taking taylor expansion of 1 in x 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.248 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.248 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.248 * [taylor]: Taking taylor expansion of 1/2 in x 0.248 * [backup-simplify]: Simplify 1/2 into 1/2 0.248 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.248 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.249 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.249 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.249 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.249 * [taylor]: Taking taylor expansion of 1 in x 0.249 * [backup-simplify]: Simplify 1 into 1 0.249 * [taylor]: Taking taylor expansion of 1 in x 0.249 * [backup-simplify]: Simplify 1 into 1 0.249 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.249 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 1 into 1 0.249 * [backup-simplify]: Simplify (/ 1 1) into 1 0.249 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 1 into 1 0.249 * [backup-simplify]: Simplify (/ 1 1) into 1 0.250 * [backup-simplify]: Simplify (* 1 1) into 1 0.250 * [backup-simplify]: Simplify (+ 0 1) into 1 0.250 * [backup-simplify]: Simplify (sqrt 1) into 1 0.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.253 * [backup-simplify]: Simplify (+ 0 0) into 0 0.254 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.254 * [backup-simplify]: Simplify (/ 1 1) into 1 0.254 * [taylor]: Taking taylor expansion of 1/2 in x 0.254 * [backup-simplify]: Simplify 1/2 into 1/2 0.254 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.255 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.255 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.256 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.257 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.257 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 0.257 * [taylor]: Taking taylor expansion of 1 in x 0.257 * [backup-simplify]: Simplify 1 into 1 0.257 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.257 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.257 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.257 * [taylor]: Taking taylor expansion of 1/2 in x 0.258 * [backup-simplify]: Simplify 1/2 into 1/2 0.258 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.258 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.258 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.258 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.258 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.258 * [taylor]: Taking taylor expansion of 1 in x 0.258 * [backup-simplify]: Simplify 1 into 1 0.258 * [taylor]: Taking taylor expansion of 1 in x 0.258 * [backup-simplify]: Simplify 1 into 1 0.258 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.258 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 1 into 1 0.258 * [backup-simplify]: Simplify (/ 1 1) into 1 0.258 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 1 into 1 0.259 * [backup-simplify]: Simplify (/ 1 1) into 1 0.259 * [backup-simplify]: Simplify (* 1 1) into 1 0.260 * [backup-simplify]: Simplify (+ 0 1) into 1 0.260 * [backup-simplify]: Simplify (sqrt 1) into 1 0.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.263 * [backup-simplify]: Simplify (+ 0 0) into 0 0.263 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.264 * [backup-simplify]: Simplify (/ 1 1) into 1 0.264 * [taylor]: Taking taylor expansion of 1/2 in x 0.264 * [backup-simplify]: Simplify 1/2 into 1/2 0.264 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.265 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.265 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.266 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.267 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.268 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 0.270 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/2))) into (- 1 (sqrt 1/2)) 0.270 * [backup-simplify]: Simplify (- 1 (sqrt 1/2)) into (- 1 (sqrt 1/2)) 0.272 * [backup-simplify]: Simplify (- (/ 1/4 (sqrt 1/2))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.275 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (sqrt 1/2))))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.276 * [backup-simplify]: Simplify (- (* 1/4 (/ 1 (sqrt 1/2)))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.277 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.277 * [backup-simplify]: Simplify (+ 0 0) into 0 0.283 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.285 * [backup-simplify]: Simplify (- (/ -1/32 (pow (sqrt 1/2) 3))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.289 * [backup-simplify]: Simplify (+ 0 (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.292 * [backup-simplify]: Simplify (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) into (/ 1/32 (pow (sqrt 1/2) 3)) 0.297 * [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))) 0.297 * [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))) 0.297 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in (x) around 0 0.297 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 0.297 * [taylor]: Taking taylor expansion of 1 in x 0.297 * [backup-simplify]: Simplify 1 into 1 0.297 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.297 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.297 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.297 * [taylor]: Taking taylor expansion of 1/2 in x 0.297 * [backup-simplify]: Simplify 1/2 into 1/2 0.297 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.297 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.297 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.297 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.297 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.297 * [taylor]: Taking taylor expansion of 1 in x 0.297 * [backup-simplify]: Simplify 1 into 1 0.297 * [taylor]: Taking taylor expansion of 1 in x 0.297 * [backup-simplify]: Simplify 1 into 1 0.297 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.297 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.297 * [taylor]: Taking taylor expansion of -1 in x 0.297 * [backup-simplify]: Simplify -1 into -1 0.297 * [taylor]: Taking taylor expansion of x in x 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify 1 into 1 0.298 * [backup-simplify]: Simplify (/ -1 1) into -1 0.298 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.298 * [taylor]: Taking taylor expansion of -1 in x 0.298 * [backup-simplify]: Simplify -1 into -1 0.298 * [taylor]: Taking taylor expansion of x in x 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify 1 into 1 0.299 * [backup-simplify]: Simplify (/ -1 1) into -1 0.299 * [backup-simplify]: Simplify (* -1 -1) into 1 0.299 * [backup-simplify]: Simplify (+ 0 1) into 1 0.300 * [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 0.304 * [backup-simplify]: Simplify (/ 1 1) into 1 0.304 * [taylor]: Taking taylor expansion of 1/2 in x 0.304 * [backup-simplify]: Simplify 1/2 into 1/2 0.304 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.305 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.305 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.306 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.307 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.307 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 0.307 * [taylor]: Taking taylor expansion of 1 in x 0.307 * [backup-simplify]: Simplify 1 into 1 0.307 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.307 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.308 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.308 * [taylor]: Taking taylor expansion of 1/2 in x 0.308 * [backup-simplify]: Simplify 1/2 into 1/2 0.308 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.308 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.308 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.308 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.308 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.308 * [taylor]: Taking taylor expansion of 1 in x 0.308 * [backup-simplify]: Simplify 1 into 1 0.308 * [taylor]: Taking taylor expansion of 1 in x 0.308 * [backup-simplify]: Simplify 1 into 1 0.308 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.308 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.308 * [taylor]: Taking taylor expansion of -1 in x 0.308 * [backup-simplify]: Simplify -1 into -1 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 1 into 1 0.308 * [backup-simplify]: Simplify (/ -1 1) into -1 0.309 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.309 * [taylor]: Taking taylor expansion of -1 in x 0.309 * [backup-simplify]: Simplify -1 into -1 0.309 * [taylor]: Taking taylor expansion of x in x 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify (/ -1 1) into -1 0.310 * [backup-simplify]: Simplify (* -1 -1) into 1 0.310 * [backup-simplify]: Simplify (+ 0 1) into 1 0.310 * [backup-simplify]: Simplify (sqrt 1) into 1 0.311 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.313 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.313 * [backup-simplify]: Simplify (+ 0 0) into 0 0.314 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.314 * [backup-simplify]: Simplify (/ 1 1) into 1 0.314 * [taylor]: Taking taylor expansion of 1/2 in x 0.314 * [backup-simplify]: Simplify 1/2 into 1/2 0.315 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.316 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.316 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.317 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.318 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.319 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 0.321 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/2))) into (- 1 (sqrt 1/2)) 0.321 * [backup-simplify]: Simplify (- 1 (sqrt 1/2)) into (- 1 (sqrt 1/2)) 0.322 * [backup-simplify]: Simplify (- (/ 1/4 (sqrt 1/2))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.325 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (sqrt 1/2))))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.326 * [backup-simplify]: Simplify (- (* 1/4 (/ 1 (sqrt 1/2)))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.327 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.327 * [backup-simplify]: Simplify (+ 0 0) into 0 0.330 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.332 * [backup-simplify]: Simplify (- (/ -1/32 (pow (sqrt 1/2) 3))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.337 * [backup-simplify]: Simplify (+ 0 (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.338 * [backup-simplify]: Simplify (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) into (/ 1/32 (pow (sqrt 1/2) 3)) 0.341 * [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)) 0.341 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.341 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 0.342 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 0.342 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 0.342 * [taylor]: Taking taylor expansion of 1/2 in x 0.342 * [backup-simplify]: Simplify 1/2 into 1/2 0.342 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.342 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.342 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.342 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.342 * [taylor]: Taking taylor expansion of 1 in x 0.342 * [backup-simplify]: Simplify 1 into 1 0.342 * [taylor]: Taking taylor expansion of 1 in x 0.342 * [backup-simplify]: Simplify 1 into 1 0.342 * [taylor]: Taking taylor expansion of (* x x) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify 1 into 1 0.342 * [taylor]: Taking taylor expansion of x in x 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify 1 into 1 0.342 * [backup-simplify]: Simplify (* 1 1) into 1 0.343 * [backup-simplify]: Simplify (* 0 0) into 0 0.343 * [backup-simplify]: Simplify (+ 1 0) into 1 0.343 * [backup-simplify]: Simplify (sqrt 1) into 1 0.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.344 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.344 * [backup-simplify]: Simplify (+ 0 0) into 0 0.345 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.345 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.345 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 0.345 * [taylor]: Taking taylor expansion of 1/2 in x 0.345 * [backup-simplify]: Simplify 1/2 into 1/2 0.345 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.345 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.345 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.345 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.345 * [taylor]: Taking taylor expansion of 1 in x 0.345 * [backup-simplify]: Simplify 1 into 1 0.345 * [taylor]: Taking taylor expansion of 1 in x 0.345 * [backup-simplify]: Simplify 1 into 1 0.345 * [taylor]: Taking taylor expansion of (* x x) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify 1 into 1 0.345 * [taylor]: Taking taylor expansion of x in x 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify 1 into 1 0.345 * [backup-simplify]: Simplify (* 1 1) into 1 0.346 * [backup-simplify]: Simplify (* 0 0) into 0 0.346 * [backup-simplify]: Simplify (+ 1 0) into 1 0.346 * [backup-simplify]: Simplify (sqrt 1) into 1 0.347 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.347 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.347 * [backup-simplify]: Simplify (+ 0 0) into 0 0.348 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.348 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.348 * [backup-simplify]: Simplify 1/2 into 1/2 0.349 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.350 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.350 * [backup-simplify]: Simplify (+ 0 1) into 1 0.351 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.351 * [backup-simplify]: Simplify -1/4 into -1/4 0.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.353 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.353 * [backup-simplify]: Simplify (+ 0 0) into 0 0.354 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.355 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.355 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.356 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.357 * [backup-simplify]: Simplify (+ 0 0) into 0 0.358 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.359 * [backup-simplify]: Simplify 3/16 into 3/16 0.359 * [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))) 0.359 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 0.359 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 0.359 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 0.359 * [taylor]: Taking taylor expansion of 1/2 in x 0.359 * [backup-simplify]: Simplify 1/2 into 1/2 0.359 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.359 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.359 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.359 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.359 * [taylor]: Taking taylor expansion of 1 in x 0.359 * [backup-simplify]: Simplify 1 into 1 0.359 * [taylor]: Taking taylor expansion of 1 in x 0.359 * [backup-simplify]: Simplify 1 into 1 0.359 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.359 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify 1 into 1 0.359 * [backup-simplify]: Simplify (/ 1 1) into 1 0.359 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.359 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify 1 into 1 0.360 * [backup-simplify]: Simplify (/ 1 1) into 1 0.360 * [backup-simplify]: Simplify (* 1 1) into 1 0.360 * [backup-simplify]: Simplify (+ 0 1) into 1 0.361 * [backup-simplify]: Simplify (sqrt 1) into 1 0.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.362 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.362 * [backup-simplify]: Simplify (+ 0 0) into 0 0.363 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.363 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.363 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 0.363 * [taylor]: Taking taylor expansion of 1/2 in x 0.363 * [backup-simplify]: Simplify 1/2 into 1/2 0.363 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.363 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.363 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.363 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.363 * [taylor]: Taking taylor expansion of 1 in x 0.363 * [backup-simplify]: Simplify 1 into 1 0.363 * [taylor]: Taking taylor expansion of 1 in x 0.363 * [backup-simplify]: Simplify 1 into 1 0.363 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.363 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.363 * [taylor]: Taking taylor expansion of x in x 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 1 into 1 0.363 * [backup-simplify]: Simplify (/ 1 1) into 1 0.363 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.363 * [taylor]: Taking taylor expansion of x in x 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 1 into 1 0.364 * [backup-simplify]: Simplify (/ 1 1) into 1 0.364 * [backup-simplify]: Simplify (* 1 1) into 1 0.364 * [backup-simplify]: Simplify (+ 0 1) into 1 0.364 * [backup-simplify]: Simplify (sqrt 1) into 1 0.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.366 * [backup-simplify]: Simplify (+ 0 0) into 0 0.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.367 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.367 * [backup-simplify]: Simplify 1/2 into 1/2 0.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.367 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify (* 1 1) into 1 0.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.370 * [backup-simplify]: Simplify (+ 1 0) into 1 0.370 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.371 * [backup-simplify]: Simplify -1/4 into -1/4 0.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.373 * [backup-simplify]: Simplify (+ 0 0) into 0 0.374 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.375 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.378 * [backup-simplify]: Simplify (+ 0 0) into 0 0.378 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.379 * [backup-simplify]: Simplify 3/16 into 3/16 0.380 * [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)))) 0.380 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 0.380 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 0.380 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 0.380 * [taylor]: Taking taylor expansion of 1/2 in x 0.380 * [backup-simplify]: Simplify 1/2 into 1/2 0.380 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.380 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.380 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.380 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.380 * [taylor]: Taking taylor expansion of 1 in x 0.380 * [backup-simplify]: Simplify 1 into 1 0.380 * [taylor]: Taking taylor expansion of 1 in x 0.380 * [backup-simplify]: Simplify 1 into 1 0.380 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.380 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.380 * [taylor]: Taking taylor expansion of -1 in x 0.380 * [backup-simplify]: Simplify -1 into -1 0.380 * [taylor]: Taking taylor expansion of x in x 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 1 into 1 0.380 * [backup-simplify]: Simplify (/ -1 1) into -1 0.380 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.380 * [taylor]: Taking taylor expansion of -1 in x 0.380 * [backup-simplify]: Simplify -1 into -1 0.381 * [taylor]: Taking taylor expansion of x in x 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify 1 into 1 0.381 * [backup-simplify]: Simplify (/ -1 1) into -1 0.381 * [backup-simplify]: Simplify (* -1 -1) into 1 0.381 * [backup-simplify]: Simplify (+ 0 1) into 1 0.382 * [backup-simplify]: Simplify (sqrt 1) into 1 0.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.383 * [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 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.384 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 0.384 * [taylor]: Taking taylor expansion of 1/2 in x 0.384 * [backup-simplify]: Simplify 1/2 into 1/2 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 0.385 * [backup-simplify]: Simplify (* -1 -1) into 1 0.385 * [backup-simplify]: Simplify (+ 0 1) into 1 0.386 * [backup-simplify]: Simplify (sqrt 1) into 1 0.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.387 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.387 * [backup-simplify]: Simplify (+ 0 0) into 0 0.388 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.388 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.388 * [backup-simplify]: Simplify 1/2 into 1/2 0.389 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify (* 1 1) into 1 0.390 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.390 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.391 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.391 * [backup-simplify]: Simplify (+ 1 0) into 1 0.392 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.392 * [backup-simplify]: Simplify -1/4 into -1/4 0.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.395 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.395 * [backup-simplify]: Simplify (+ 0 0) into 0 0.396 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.397 * [backup-simplify]: Simplify 0 into 0 0.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.398 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 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)) (* 0 (/ 0 1)))) into 0 0.399 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.399 * [backup-simplify]: Simplify (+ 0 0) into 0 0.400 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.401 * [backup-simplify]: Simplify 3/16 into 3/16 0.401 * [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)))) 0.402 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.402 * [backup-simplify]: Simplify (+ 1/2 (/ 1/2 (hypot 1 x))) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 0.402 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in (x) around 0 0.402 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.402 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.402 * [taylor]: Taking taylor expansion of 1/2 in x 0.402 * [backup-simplify]: Simplify 1/2 into 1/2 0.402 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.402 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.402 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.402 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.402 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.402 * [taylor]: Taking taylor expansion of 1 in x 0.402 * [backup-simplify]: Simplify 1 into 1 0.402 * [taylor]: Taking taylor expansion of 1 in x 0.402 * [backup-simplify]: Simplify 1 into 1 0.402 * [taylor]: Taking taylor expansion of (* x x) in x 0.402 * [taylor]: Taking taylor expansion of x in x 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify 1 into 1 0.402 * [taylor]: Taking taylor expansion of x in x 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify 1 into 1 0.403 * [backup-simplify]: Simplify (* 1 1) into 1 0.403 * [backup-simplify]: Simplify (* 0 0) into 0 0.403 * [backup-simplify]: Simplify (+ 1 0) into 1 0.404 * [backup-simplify]: Simplify (sqrt 1) into 1 0.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.405 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.405 * [backup-simplify]: Simplify (+ 0 0) into 0 0.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.406 * [backup-simplify]: Simplify (/ 1 1) into 1 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 (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.407 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (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 (/ 1 (hypot 1 x)) in x 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 0.407 * [backup-simplify]: Simplify (* 1 1) into 1 0.408 * [backup-simplify]: Simplify (* 0 0) into 0 0.408 * [backup-simplify]: Simplify (+ 1 0) into 1 0.409 * [backup-simplify]: Simplify (sqrt 1) into 1 0.409 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.410 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.410 * [backup-simplify]: Simplify (+ 0 0) into 0 0.410 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.411 * [backup-simplify]: Simplify (/ 1 1) into 1 0.411 * [taylor]: Taking taylor expansion of 1/2 in x 0.411 * [backup-simplify]: Simplify 1/2 into 1/2 0.411 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.411 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.411 * [backup-simplify]: Simplify 1 into 1 0.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.412 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.412 * [backup-simplify]: Simplify (+ 0 0) into 0 0.412 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.413 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.414 * [backup-simplify]: Simplify (+ 0 1) into 1 0.414 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.416 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.416 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.416 * [backup-simplify]: Simplify -1/4 into -1/4 0.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.417 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.417 * [backup-simplify]: Simplify (+ 0 0) into 0 0.418 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 0.420 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 0.420 * [backup-simplify]: Simplify (+ 0 0) into 0 0.420 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.422 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.422 * [backup-simplify]: Simplify (+ 0 0) into 0 0.423 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 0.425 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 0.425 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 0.425 * [backup-simplify]: Simplify 3/16 into 3/16 0.425 * [backup-simplify]: Simplify (+ (* 3/16 (pow x 4)) (+ (* -1/4 (pow x 2)) 1)) into (- (+ (* 3/16 (pow x 4)) 1) (* 1/4 (pow x 2))) 0.425 * [backup-simplify]: Simplify (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x)))) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 0.425 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in (x) around 0 0.425 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.425 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.425 * [taylor]: Taking taylor expansion of 1/2 in x 0.425 * [backup-simplify]: Simplify 1/2 into 1/2 0.426 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.426 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.426 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.426 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.426 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.426 * [taylor]: Taking taylor expansion of 1 in x 0.426 * [backup-simplify]: Simplify 1 into 1 0.426 * [taylor]: Taking taylor expansion of 1 in x 0.426 * [backup-simplify]: Simplify 1 into 1 0.426 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.426 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify 1 into 1 0.426 * [backup-simplify]: Simplify (/ 1 1) into 1 0.426 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify 1 into 1 0.428 * [backup-simplify]: Simplify (/ 1 1) into 1 0.428 * [backup-simplify]: Simplify (* 1 1) into 1 0.428 * [backup-simplify]: Simplify (+ 0 1) into 1 0.429 * [backup-simplify]: Simplify (sqrt 1) into 1 0.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.431 * [backup-simplify]: Simplify (+ 0 0) into 0 0.432 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.432 * [backup-simplify]: Simplify (/ 1 1) into 1 0.432 * [taylor]: Taking taylor expansion of 1/2 in x 0.432 * [backup-simplify]: Simplify 1/2 into 1/2 0.432 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.432 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.432 * [taylor]: Taking taylor expansion of 1/2 in x 0.433 * [backup-simplify]: Simplify 1/2 into 1/2 0.433 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.433 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.433 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.433 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.433 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.433 * [taylor]: Taking taylor expansion of 1 in x 0.433 * [backup-simplify]: Simplify 1 into 1 0.433 * [taylor]: Taking taylor expansion of 1 in x 0.433 * [backup-simplify]: Simplify 1 into 1 0.433 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.433 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify 1 into 1 0.433 * [backup-simplify]: Simplify (/ 1 1) into 1 0.433 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify 1 into 1 0.434 * [backup-simplify]: Simplify (/ 1 1) into 1 0.434 * [backup-simplify]: Simplify (* 1 1) into 1 0.435 * [backup-simplify]: Simplify (+ 0 1) into 1 0.435 * [backup-simplify]: Simplify (sqrt 1) into 1 0.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.437 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.438 * [backup-simplify]: Simplify (+ 0 0) into 0 0.438 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.439 * [backup-simplify]: Simplify (/ 1 1) into 1 0.439 * [taylor]: Taking taylor expansion of 1/2 in x 0.439 * [backup-simplify]: Simplify 1/2 into 1/2 0.439 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.439 * [backup-simplify]: Simplify 1/2 into 1/2 0.440 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.440 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.440 * [backup-simplify]: Simplify 1/2 into 1/2 0.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.442 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.442 * [backup-simplify]: Simplify (+ 0 0) into 0 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify (* 1 1) into 1 0.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.444 * [backup-simplify]: Simplify (+ 1 0) into 1 0.445 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.446 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.447 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.447 * [backup-simplify]: Simplify -1/4 into -1/4 0.447 * [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)))) 0.447 * [backup-simplify]: Simplify (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 0.447 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in (x) around 0 0.447 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.447 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.447 * [taylor]: Taking taylor expansion of 1/2 in x 0.447 * [backup-simplify]: Simplify 1/2 into 1/2 0.447 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.447 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.447 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.447 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.447 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.447 * [taylor]: Taking taylor expansion of 1 in x 0.447 * [backup-simplify]: Simplify 1 into 1 0.447 * [taylor]: Taking taylor expansion of 1 in x 0.447 * [backup-simplify]: Simplify 1 into 1 0.447 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.447 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.447 * [taylor]: Taking taylor expansion of -1 in x 0.447 * [backup-simplify]: Simplify -1 into -1 0.447 * [taylor]: Taking taylor expansion of x in x 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 1 into 1 0.447 * [backup-simplify]: Simplify (/ -1 1) into -1 0.448 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.448 * [taylor]: Taking taylor expansion of -1 in x 0.448 * [backup-simplify]: Simplify -1 into -1 0.448 * [taylor]: Taking taylor expansion of x in x 0.448 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify 1 into 1 0.448 * [backup-simplify]: Simplify (/ -1 1) into -1 0.448 * [backup-simplify]: Simplify (* -1 -1) into 1 0.448 * [backup-simplify]: Simplify (+ 0 1) into 1 0.449 * [backup-simplify]: Simplify (sqrt 1) into 1 0.449 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.450 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.450 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.450 * [backup-simplify]: Simplify (+ 0 0) into 0 0.451 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.451 * [backup-simplify]: Simplify (/ 1 1) into 1 0.451 * [taylor]: Taking taylor expansion of 1/2 in x 0.451 * [backup-simplify]: Simplify 1/2 into 1/2 0.451 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.451 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.451 * [taylor]: Taking taylor expansion of 1/2 in x 0.451 * [backup-simplify]: Simplify 1/2 into 1/2 0.451 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.451 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.451 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.451 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.451 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.451 * [taylor]: Taking taylor expansion of 1 in x 0.451 * [backup-simplify]: Simplify 1 into 1 0.451 * [taylor]: Taking taylor expansion of 1 in x 0.451 * [backup-simplify]: Simplify 1 into 1 0.451 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.451 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.451 * [taylor]: Taking taylor expansion of -1 in x 0.451 * [backup-simplify]: Simplify -1 into -1 0.451 * [taylor]: Taking taylor expansion of x in x 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 1 into 1 0.452 * [backup-simplify]: Simplify (/ -1 1) into -1 0.452 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.452 * [taylor]: Taking taylor expansion of -1 in x 0.452 * [backup-simplify]: Simplify -1 into -1 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify 1 into 1 0.452 * [backup-simplify]: Simplify (/ -1 1) into -1 0.452 * [backup-simplify]: Simplify (* -1 -1) into 1 0.453 * [backup-simplify]: Simplify (+ 0 1) into 1 0.453 * [backup-simplify]: Simplify (sqrt 1) into 1 0.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.454 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.454 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.454 * [backup-simplify]: Simplify (+ 0 0) into 0 0.455 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.455 * [backup-simplify]: Simplify (/ 1 1) into 1 0.455 * [taylor]: Taking taylor expansion of 1/2 in x 0.456 * [backup-simplify]: Simplify 1/2 into 1/2 0.456 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.456 * [backup-simplify]: Simplify 1/2 into 1/2 0.456 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.457 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.457 * [backup-simplify]: Simplify 1/2 into 1/2 0.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.458 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.459 * [backup-simplify]: Simplify (+ 0 0) into 0 0.459 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify (* 1 1) into 1 0.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.461 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.462 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.463 * [backup-simplify]: Simplify (+ 1 0) into 1 0.464 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.466 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.467 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.467 * [backup-simplify]: Simplify -1/4 into -1/4 0.467 * [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))) 0.467 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2) 0.467 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 0.467 * [approximate]: Taking taylor expansion of (hypot 1 x) in (x) around 0 0.467 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.467 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.467 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.467 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.467 * [taylor]: Taking taylor expansion of 1 in x 0.467 * [backup-simplify]: Simplify 1 into 1 0.467 * [taylor]: Taking taylor expansion of 1 in x 0.467 * [backup-simplify]: Simplify 1 into 1 0.467 * [taylor]: Taking taylor expansion of (* x x) in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify 1 into 1 0.468 * [taylor]: Taking taylor expansion of x in x 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify 1 into 1 0.468 * [backup-simplify]: Simplify (* 1 1) into 1 0.468 * [backup-simplify]: Simplify (* 0 0) into 0 0.469 * [backup-simplify]: Simplify (+ 1 0) into 1 0.469 * [backup-simplify]: Simplify (sqrt 1) into 1 0.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.471 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.471 * [backup-simplify]: Simplify (+ 0 0) into 0 0.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.472 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.472 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.472 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x 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 (* x x) in x 0.472 * [taylor]: Taking taylor expansion of x in x 0.472 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify 1 into 1 0.472 * [taylor]: Taking taylor expansion of x in x 0.472 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify 1 into 1 0.473 * [backup-simplify]: Simplify (* 1 1) into 1 0.473 * [backup-simplify]: Simplify (* 0 0) into 0 0.474 * [backup-simplify]: Simplify (+ 1 0) into 1 0.474 * [backup-simplify]: Simplify (sqrt 1) into 1 0.475 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.475 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.476 * [backup-simplify]: Simplify (+ 0 0) into 0 0.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.476 * [backup-simplify]: Simplify 1 into 1 0.477 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.478 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.479 * [backup-simplify]: Simplify (+ 0 1) into 1 0.480 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.480 * [backup-simplify]: Simplify 1/2 into 1/2 0.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.482 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.483 * [backup-simplify]: Simplify (+ 0 0) into 0 0.484 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.484 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.487 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.487 * [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 0.489 * [backup-simplify]: Simplify -1/8 into -1/8 0.489 * [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))) 0.489 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 0.489 * [approximate]: Taking taylor expansion of (hypot 1 (/ 1 x)) in (x) around 0 0.489 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.489 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.489 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.489 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.489 * [taylor]: Taking taylor expansion of 1 in x 0.489 * [backup-simplify]: Simplify 1 into 1 0.490 * [taylor]: Taking taylor expansion of 1 in x 0.490 * [backup-simplify]: Simplify 1 into 1 0.490 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.490 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.490 * [taylor]: Taking taylor expansion of x in x 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify 1 into 1 0.490 * [backup-simplify]: Simplify (/ 1 1) into 1 0.490 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.490 * [taylor]: Taking taylor expansion of x in x 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify 1 into 1 0.490 * [backup-simplify]: Simplify (/ 1 1) into 1 0.490 * [backup-simplify]: Simplify (* 1 1) into 1 0.491 * [backup-simplify]: Simplify (+ 0 1) into 1 0.491 * [backup-simplify]: Simplify (sqrt 1) into 1 0.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.493 * [backup-simplify]: Simplify (+ 0 0) into 0 0.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.493 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.493 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.493 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.493 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.493 * [taylor]: Taking taylor expansion of 1 in x 0.493 * [backup-simplify]: Simplify 1 into 1 0.493 * [taylor]: Taking taylor expansion of 1 in x 0.493 * [backup-simplify]: Simplify 1 into 1 0.493 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.493 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.493 * [taylor]: Taking taylor expansion of x in x 0.493 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify 1 into 1 0.493 * [backup-simplify]: Simplify (/ 1 1) into 1 0.493 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.493 * [taylor]: Taking taylor expansion of x in x 0.493 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify 1 into 1 0.494 * [backup-simplify]: Simplify (/ 1 1) into 1 0.494 * [backup-simplify]: Simplify (* 1 1) into 1 0.494 * [backup-simplify]: Simplify (+ 0 1) into 1 0.495 * [backup-simplify]: Simplify (sqrt 1) into 1 0.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.496 * [backup-simplify]: Simplify (+ 0 0) into 0 0.497 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.497 * [backup-simplify]: Simplify 1 into 1 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify (* 1 1) into 1 0.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.499 * [backup-simplify]: Simplify (+ 1 0) into 1 0.500 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.500 * [backup-simplify]: Simplify 1/2 into 1/2 0.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.502 * [backup-simplify]: Simplify (+ 0 0) into 0 0.503 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.504 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.507 * [backup-simplify]: Simplify (+ 0 0) into 0 0.508 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.508 * [backup-simplify]: Simplify -1/8 into -1/8 0.508 * [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)))) 0.508 * [backup-simplify]: Simplify (hypot 1 (/ 1 (- x))) into (hypot 1 (/ -1 x)) 0.508 * [approximate]: Taking taylor expansion of (hypot 1 (/ -1 x)) in (x) around 0 0.508 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.508 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.508 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.508 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.508 * [taylor]: Taking taylor expansion of 1 in x 0.508 * [backup-simplify]: Simplify 1 into 1 0.508 * [taylor]: Taking taylor expansion of 1 in x 0.508 * [backup-simplify]: Simplify 1 into 1 0.508 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.508 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.508 * [taylor]: Taking taylor expansion of -1 in x 0.508 * [backup-simplify]: Simplify -1 into -1 0.508 * [taylor]: Taking taylor expansion of x in x 0.508 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify 1 into 1 0.509 * [backup-simplify]: Simplify (/ -1 1) into -1 0.509 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.509 * [taylor]: Taking taylor expansion of -1 in x 0.509 * [backup-simplify]: Simplify -1 into -1 0.509 * [taylor]: Taking taylor expansion of x in x 0.509 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify 1 into 1 0.509 * [backup-simplify]: Simplify (/ -1 1) into -1 0.509 * [backup-simplify]: Simplify (* -1 -1) into 1 0.509 * [backup-simplify]: Simplify (+ 0 1) into 1 0.510 * [backup-simplify]: Simplify (sqrt 1) into 1 0.510 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.512 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.512 * [backup-simplify]: Simplify (+ 0 0) into 0 0.513 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.513 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.513 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.513 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.513 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.513 * [taylor]: Taking taylor expansion of 1 in x 0.513 * [backup-simplify]: Simplify 1 into 1 0.513 * [taylor]: Taking taylor expansion of 1 in x 0.513 * [backup-simplify]: Simplify 1 into 1 0.513 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.513 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.513 * [taylor]: Taking taylor expansion of -1 in x 0.513 * [backup-simplify]: Simplify -1 into -1 0.513 * [taylor]: Taking taylor expansion of x in x 0.513 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify 1 into 1 0.514 * [backup-simplify]: Simplify (/ -1 1) into -1 0.514 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.514 * [taylor]: Taking taylor expansion of -1 in x 0.514 * [backup-simplify]: Simplify -1 into -1 0.514 * [taylor]: Taking taylor expansion of x in x 0.514 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify 1 into 1 0.514 * [backup-simplify]: Simplify (/ -1 1) into -1 0.514 * [backup-simplify]: Simplify (* -1 -1) into 1 0.515 * [backup-simplify]: Simplify (+ 0 1) into 1 0.515 * [backup-simplify]: Simplify (sqrt 1) into 1 0.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.517 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.518 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.518 * [backup-simplify]: Simplify (+ 0 0) into 0 0.519 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.519 * [backup-simplify]: Simplify 1 into 1 0.519 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify (* 1 1) into 1 0.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.521 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.522 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.522 * [backup-simplify]: Simplify (+ 1 0) into 1 0.523 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.523 * [backup-simplify]: Simplify 1/2 into 1/2 0.524 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.525 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.526 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.527 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.527 * [backup-simplify]: Simplify (+ 0 0) into 0 0.529 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.529 * [backup-simplify]: Simplify 0 into 0 0.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.531 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.533 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.533 * [backup-simplify]: Simplify (+ 0 0) into 0 0.535 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.535 * [backup-simplify]: Simplify -1/8 into -1/8 0.535 * [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)))) 0.535 * * * [progress]: simplifying candidates 0.535 * * * * [progress]: [ 1 / 117 ] simplifiying candidate # 0.535 * * * * [progress]: [ 2 / 117 ] simplifiying candidate # 0.535 * * * * [progress]: [ 3 / 117 ] simplifiying candidate # 0.535 * * * * [progress]: [ 4 / 117 ] simplifiying candidate # 0.536 * * * * [progress]: [ 5 / 117 ] simplifiying candidate # 0.536 * * * * [progress]: [ 6 / 117 ] simplifiying candidate # 0.536 * * * * [progress]: [ 7 / 117 ] simplifiying candidate # 0.536 * * * * [progress]: [ 8 / 117 ] simplifiying candidate # 0.536 * * * * [progress]: [ 9 / 117 ] simplifiying candidate # 0.536 * * * * [progress]: [ 10 / 117 ] simplifiying candidate # 0.536 * * * * [progress]: [ 11 / 117 ] simplifiying candidate # 0.536 * * * * [progress]: [ 12 / 117 ] simplifiying candidate # 0.536 * * * * [progress]: [ 13 / 117 ] simplifiying candidate # 0.536 * * * * [progress]: [ 14 / 117 ] simplifiying candidate # 0.536 * * * * [progress]: [ 15 / 117 ] simplifiying candidate # 0.536 * * * * [progress]: [ 16 / 117 ] simplifiying candidate # 0.536 * * * * [progress]: [ 17 / 117 ] simplifiying candidate # 0.537 * * * * [progress]: [ 18 / 117 ] simplifiying candidate # 0.537 * * * * [progress]: [ 19 / 117 ] simplifiying candidate # 0.537 * * * * [progress]: [ 20 / 117 ] simplifiying candidate # 0.537 * * * * [progress]: [ 21 / 117 ] simplifiying candidate # 0.537 * * * * [progress]: [ 22 / 117 ] simplifiying candidate # 0.537 * * * * [progress]: [ 23 / 117 ] simplifiying candidate # 0.537 * * * * [progress]: [ 24 / 117 ] simplifiying candidate # 0.537 * * * * [progress]: [ 25 / 117 ] simplifiying candidate # 0.537 * * * * [progress]: [ 26 / 117 ] simplifiying candidate # 0.537 * * * * [progress]: [ 27 / 117 ] simplifiying candidate # 0.537 * * * * [progress]: [ 28 / 117 ] simplifiying candidate # 0.537 * * * * [progress]: [ 29 / 117 ] simplifiying candidate # 0.537 * * * * [progress]: [ 30 / 117 ] simplifiying candidate # 0.537 * * * * [progress]: [ 31 / 117 ] simplifiying candidate # 0.537 * * * * [progress]: [ 32 / 117 ] simplifiying candidate # 0.537 * * * * [progress]: [ 33 / 117 ] simplifiying candidate # 0.538 * * * * [progress]: [ 34 / 117 ] simplifiying candidate # 0.538 * * * * [progress]: [ 35 / 117 ] simplifiying candidate # 0.538 * * * * [progress]: [ 36 / 117 ] simplifiying candidate # 0.538 * * * * [progress]: [ 37 / 117 ] simplifiying candidate # 0.538 * * * * [progress]: [ 38 / 117 ] simplifiying candidate # 0.538 * * * * [progress]: [ 39 / 117 ] simplifiying candidate # 0.538 * * * * [progress]: [ 40 / 117 ] simplifiying candidate # 0.538 * * * * [progress]: [ 41 / 117 ] simplifiying candidate # 0.538 * * * * [progress]: [ 42 / 117 ] simplifiying candidate # 0.538 * * * * [progress]: [ 43 / 117 ] simplifiying candidate # 0.538 * * * * [progress]: [ 44 / 117 ] simplifiying candidate # 0.538 * * * * [progress]: [ 45 / 117 ] simplifiying candidate # 0.538 * * * * [progress]: [ 46 / 117 ] simplifiying candidate #real (real->posit16 (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))> 0.538 * * * * [progress]: [ 47 / 117 ] simplifiying candidate # 0.538 * * * * [progress]: [ 48 / 117 ] simplifiying candidate # 0.538 * * * * [progress]: [ 49 / 117 ] simplifiying candidate # 0.538 * * * * [progress]: [ 50 / 117 ] simplifiying candidate # 0.539 * * * * [progress]: [ 51 / 117 ] simplifiying candidate # 0.539 * * * * [progress]: [ 52 / 117 ] simplifiying candidate # 0.539 * * * * [progress]: [ 53 / 117 ] simplifiying candidate # 0.539 * * * * [progress]: [ 54 / 117 ] simplifiying candidate # 0.539 * * * * [progress]: [ 55 / 117 ] simplifiying candidate # 0.539 * * * * [progress]: [ 56 / 117 ] simplifiying candidate # 0.539 * * * * [progress]: [ 57 / 117 ] simplifiying candidate # 0.539 * * * * [progress]: [ 58 / 117 ] simplifiying candidate # 0.539 * * * * [progress]: [ 59 / 117 ] simplifiying candidate # 0.539 * * * * [progress]: [ 60 / 117 ] simplifiying candidate # 0.539 * * * * [progress]: [ 61 / 117 ] simplifiying candidate # 0.539 * * * * [progress]: [ 62 / 117 ] simplifiying candidate # 0.539 * * * * [progress]: [ 63 / 117 ] simplifiying candidate # 0.539 * * * * [progress]: [ 64 / 117 ] simplifiying candidate # 0.539 * * * * [progress]: [ 65 / 117 ] simplifiying candidate # 0.540 * * * * [progress]: [ 66 / 117 ] simplifiying candidate # 0.540 * * * * [progress]: [ 67 / 117 ] simplifiying candidate # 0.540 * * * * [progress]: [ 68 / 117 ] simplifiying candidate # 0.540 * * * * [progress]: [ 69 / 117 ] simplifiying candidate # 0.540 * * * * [progress]: [ 70 / 117 ] simplifiying candidate # 0.540 * * * * [progress]: [ 71 / 117 ] simplifiying candidate # 0.540 * * * * [progress]: [ 72 / 117 ] simplifiying candidate # 0.540 * * * * [progress]: [ 73 / 117 ] simplifiying candidate # 0.540 * * * * [progress]: [ 74 / 117 ] simplifiying candidate # 0.540 * * * * [progress]: [ 75 / 117 ] simplifiying candidate # 0.540 * * * * [progress]: [ 76 / 117 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x))))))))> 0.540 * * * * [progress]: [ 77 / 117 ] simplifiying candidate # 0.540 * * * * [progress]: [ 78 / 117 ] simplifiying candidate # 0.540 * * * * [progress]: [ 79 / 117 ] simplifiying candidate # 0.540 * * * * [progress]: [ 80 / 117 ] simplifiying candidate # 0.540 * * * * [progress]: [ 81 / 117 ] simplifiying candidate # 0.540 * * * * [progress]: [ 82 / 117 ] simplifiying candidate # 0.541 * * * * [progress]: [ 83 / 117 ] simplifiying candidate # 0.541 * * * * [progress]: [ 84 / 117 ] simplifiying candidate # 0.541 * * * * [progress]: [ 85 / 117 ] simplifiying candidate # 0.541 * * * * [progress]: [ 86 / 117 ] simplifiying candidate # 0.541 * * * * [progress]: [ 87 / 117 ] simplifiying candidate # 0.541 * * * * [progress]: [ 88 / 117 ] simplifiying candidate # 0.541 * * * * [progress]: [ 89 / 117 ] simplifiying candidate # 0.541 * * * * [progress]: [ 90 / 117 ] simplifiying candidate # 0.541 * * * * [progress]: [ 91 / 117 ] simplifiying candidate # 0.541 * * * * [progress]: [ 92 / 117 ] simplifiying candidate # 0.541 * * * * [progress]: [ 93 / 117 ] simplifiying candidate #real (real->posit16 (+ 1/2 (/ 1/2 (hypot 1 x))))))))> 0.541 * * * * [progress]: [ 94 / 117 ] simplifiying candidate # 0.541 * * * * [progress]: [ 95 / 117 ] simplifiying candidate # 0.541 * * * * [progress]: [ 96 / 117 ] simplifiying candidate # 0.541 * * * * [progress]: [ 97 / 117 ] simplifiying candidate # 0.541 * * * * [progress]: [ 98 / 117 ] simplifiying candidate # 0.541 * * * * [progress]: [ 99 / 117 ] simplifiying candidate # 0.542 * * * * [progress]: [ 100 / 117 ] simplifiying candidate # 0.542 * * * * [progress]: [ 101 / 117 ] simplifiying candidate # 0.542 * * * * [progress]: [ 102 / 117 ] simplifiying candidate # 0.542 * * * * [progress]: [ 103 / 117 ] simplifiying candidate # 0.542 * * * * [progress]: [ 104 / 117 ] simplifiying candidate # 0.542 * * * * [progress]: [ 105 / 117 ] simplifiying candidate #real (real->posit16 (hypot 1 x))))))))> 0.542 * * * * [progress]: [ 106 / 117 ] simplifiying candidate # 0.542 * * * * [progress]: [ 107 / 117 ] simplifiying candidate # 0.542 * * * * [progress]: [ 108 / 117 ] simplifiying candidate # 0.542 * * * * [progress]: [ 109 / 117 ] simplifiying candidate # 0.542 * * * * [progress]: [ 110 / 117 ] simplifiying candidate # 0.542 * * * * [progress]: [ 111 / 117 ] simplifiying candidate # 0.542 * * * * [progress]: [ 112 / 117 ] simplifiying candidate # 0.542 * * * * [progress]: [ 113 / 117 ] simplifiying candidate # 0.542 * * * * [progress]: [ 114 / 117 ] simplifiying candidate # 0.542 * * * * [progress]: [ 115 / 117 ] simplifiying candidate # 0.542 * * * * [progress]: [ 116 / 117 ] simplifiying candidate # 0.542 * * * * [progress]: [ 117 / 117 ] simplifiying candidate # 0.545 * [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 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(log1p (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (exp (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (log (- 1 (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)))))) (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 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))))) (real->posit16 (- 1 (sqrt (+ 1/2 (/ 1/2 (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) (/ (sqrt (hypot 1 x)) (cbrt 1/2))) (/ (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) (real->posit16 (/ 1/2 (hypot 1 x))) (expm1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (log1p (+ 1/2 (/ 1/2 (hypot 1 x)))) (exp (+ 1/2 (/ 1/2 (hypot 1 x)))) (log (+ 1/2 (/ 1/2 (hypot 1 x)))) (exp (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (+ 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))))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ (/ (/ (/ 1/8 (hypot 1 x)) (hypot 1 x)) (hypot 1 x)) 1/8) (fma (- (/ 1/2 (hypot 1 x)) 1/2) (/ 1/2 (hypot 1 x)) 1/4) (- 1/4 (/ (/ 1/4 (hypot 1 x)) (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x))) (real->posit16 (+ 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)) (real->posit16 (hypot 1 x)) (fma (* (* x (* x x)) (* x (* x x))) 69/1024 (* (* x x) (- 1/8 (* 11/128 (* x x))))) (+ (- 1 (+ (/ (/ 1/4 x) (sqrt 1/2)) (sqrt 1/2))) (/ 1/16 (* (* x x) (sqrt 1/2)))) (- (+ (/ (/ 1/4 x) (sqrt 1/2)) 1) (- (sqrt 1/2) (/ 1/16 (* (* x x) (sqrt 1/2))))) (fma -1/4 (* x x) (fma (* (* x x) (* x x)) 3/16 1/2)) (+ (/ 3/16 (pow x 5)) (- (/ 1/2 x) (/ (/ 1/4 x) (* x x)))) (+ (+ (/ -3/16 (pow x 5)) (/ -1/2 x)) (/ (/ 1/4 x) (* x x))) (fma (* x x) -1/4 (fma 3/16 (* (* x x) (* x x)) 1)) (+ (- (/ 1/2 x) (/ (/ 1/4 x) (* x x))) 1/2) (- 1/2 (- (/ 1/2 x) (/ (/ 1/4 x) (* x x)))) (fma (* (* x x) (* x x)) -1/8 (fma (* x x) 1/2 1)) (- (+ x (/ 1/2 x)) (/ (/ 1/8 x) (* x x))) (- (/ (/ 1/8 x) (* x x)) (+ x (/ 1/2 x))) 3.385 * * * [progress]: adding candidates to table 4.536 * * [progress]: iteration 2 / 4 4.536 * * * [progress]: picking best candidate 4.546 * * * * [pick]: Picked # 4.546 * * * [progress]: localizing error 4.583 * * * [progress]: generating rewritten candidates 4.584 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 4.591 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 4.606 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2) 4.610 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 4.626 * * * [progress]: generating series expansions 4.626 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 4.626 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 x))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 4.626 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in (x) around 0 4.626 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 4.626 * [taylor]: Taking taylor expansion of 1/2 in x 4.626 * [backup-simplify]: Simplify 1/2 into 1/2 4.626 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 4.626 * [taylor]: Taking taylor expansion of 1/2 in x 4.626 * [backup-simplify]: Simplify 1/2 into 1/2 4.626 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 4.626 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 4.626 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 4.626 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 4.626 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.626 * [taylor]: Taking taylor expansion of 1 in x 4.626 * [backup-simplify]: Simplify 1 into 1 4.626 * [taylor]: Taking taylor expansion of 1 in x 4.627 * [backup-simplify]: Simplify 1 into 1 4.627 * [taylor]: Taking taylor expansion of (* x x) in x 4.627 * [taylor]: Taking taylor expansion of x in x 4.627 * [backup-simplify]: Simplify 0 into 0 4.627 * [backup-simplify]: Simplify 1 into 1 4.627 * [taylor]: Taking taylor expansion of x in x 4.627 * [backup-simplify]: Simplify 0 into 0 4.627 * [backup-simplify]: Simplify 1 into 1 4.628 * [backup-simplify]: Simplify (* 1 1) into 1 4.628 * [backup-simplify]: Simplify (* 0 0) into 0 4.629 * [backup-simplify]: Simplify (+ 1 0) into 1 4.630 * [backup-simplify]: Simplify (sqrt 1) into 1 4.631 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.632 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.632 * [backup-simplify]: Simplify (+ 0 0) into 0 4.634 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.634 * [backup-simplify]: Simplify (/ 1 1) into 1 4.634 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 4.634 * [taylor]: Taking taylor expansion of 1/2 in x 4.634 * [backup-simplify]: Simplify 1/2 into 1/2 4.634 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 4.634 * [taylor]: Taking taylor expansion of 1/2 in x 4.634 * [backup-simplify]: Simplify 1/2 into 1/2 4.634 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 4.634 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 4.635 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 4.635 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 4.635 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.635 * [taylor]: Taking taylor expansion of 1 in x 4.635 * [backup-simplify]: Simplify 1 into 1 4.635 * [taylor]: Taking taylor expansion of 1 in x 4.635 * [backup-simplify]: Simplify 1 into 1 4.635 * [taylor]: Taking taylor expansion of (* x x) in x 4.635 * [taylor]: Taking taylor expansion of x in x 4.635 * [backup-simplify]: Simplify 0 into 0 4.635 * [backup-simplify]: Simplify 1 into 1 4.635 * [taylor]: Taking taylor expansion of x in x 4.635 * [backup-simplify]: Simplify 0 into 0 4.635 * [backup-simplify]: Simplify 1 into 1 4.636 * [backup-simplify]: Simplify (* 1 1) into 1 4.636 * [backup-simplify]: Simplify (* 0 0) into 0 4.637 * [backup-simplify]: Simplify (+ 1 0) into 1 4.638 * [backup-simplify]: Simplify (sqrt 1) into 1 4.639 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.639 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.640 * [backup-simplify]: Simplify (+ 0 0) into 0 4.641 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.641 * [backup-simplify]: Simplify (/ 1 1) into 1 4.642 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.642 * [backup-simplify]: Simplify (- 1/2) into -1/2 4.643 * [backup-simplify]: Simplify (+ 1/2 -1/2) into 0 4.643 * [backup-simplify]: Simplify 0 into 0 4.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.644 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.645 * [backup-simplify]: Simplify (- 0) into 0 4.645 * [backup-simplify]: Simplify (+ 0 0) into 0 4.645 * [backup-simplify]: Simplify 0 into 0 4.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.647 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 4.647 * [backup-simplify]: Simplify (+ 0 1) into 1 4.649 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 4.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 4.651 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 4.651 * [backup-simplify]: Simplify (- -1/4) into 1/4 4.652 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 4.652 * [backup-simplify]: Simplify 1/4 into 1/4 4.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.654 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 4.655 * [backup-simplify]: Simplify (+ 0 0) into 0 4.656 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 4.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 4.660 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 4.660 * [backup-simplify]: Simplify (- 0) into 0 4.660 * [backup-simplify]: Simplify (+ 0 0) into 0 4.660 * [backup-simplify]: Simplify 0 into 0 4.662 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.663 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.664 * [backup-simplify]: Simplify (+ 0 0) into 0 4.665 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 4.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 4.669 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 4.670 * [backup-simplify]: Simplify (- 3/16) into -3/16 4.670 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 4.670 * [backup-simplify]: Simplify -3/16 into -3/16 4.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.673 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 4.674 * [backup-simplify]: Simplify (+ 0 0) into 0 4.675 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 4.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 4.680 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 4.681 * [backup-simplify]: Simplify (- 0) into 0 4.681 * [backup-simplify]: Simplify (+ 0 0) into 0 4.681 * [backup-simplify]: Simplify 0 into 0 4.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.685 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 4.685 * [backup-simplify]: Simplify (+ 0 0) into 0 4.687 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 4.690 * [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 4.692 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 4.693 * [backup-simplify]: Simplify (- -5/32) into 5/32 4.693 * [backup-simplify]: Simplify (+ 0 5/32) into 5/32 4.693 * [backup-simplify]: Simplify 5/32 into 5/32 4.694 * [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))) 4.694 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 (/ 1 x)))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 4.694 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in (x) around 0 4.694 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 4.694 * [taylor]: Taking taylor expansion of 1/2 in x 4.694 * [backup-simplify]: Simplify 1/2 into 1/2 4.694 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 4.694 * [taylor]: Taking taylor expansion of 1/2 in x 4.694 * [backup-simplify]: Simplify 1/2 into 1/2 4.694 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 4.694 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 4.694 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 4.694 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 4.694 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.694 * [taylor]: Taking taylor expansion of 1 in x 4.694 * [backup-simplify]: Simplify 1 into 1 4.694 * [taylor]: Taking taylor expansion of 1 in x 4.694 * [backup-simplify]: Simplify 1 into 1 4.694 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.694 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.694 * [taylor]: Taking taylor expansion of x in x 4.694 * [backup-simplify]: Simplify 0 into 0 4.694 * [backup-simplify]: Simplify 1 into 1 4.695 * [backup-simplify]: Simplify (/ 1 1) into 1 4.695 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.695 * [taylor]: Taking taylor expansion of x in x 4.695 * [backup-simplify]: Simplify 0 into 0 4.695 * [backup-simplify]: Simplify 1 into 1 4.695 * [backup-simplify]: Simplify (/ 1 1) into 1 4.696 * [backup-simplify]: Simplify (* 1 1) into 1 4.696 * [backup-simplify]: Simplify (+ 0 1) into 1 4.697 * [backup-simplify]: Simplify (sqrt 1) into 1 4.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.699 * [backup-simplify]: Simplify (+ 0 0) into 0 4.700 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.700 * [backup-simplify]: Simplify (/ 1 1) into 1 4.701 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 4.701 * [taylor]: Taking taylor expansion of 1/2 in x 4.701 * [backup-simplify]: Simplify 1/2 into 1/2 4.701 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 4.701 * [taylor]: Taking taylor expansion of 1/2 in x 4.701 * [backup-simplify]: Simplify 1/2 into 1/2 4.701 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 4.701 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 4.701 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 4.701 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 4.701 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.701 * [taylor]: Taking taylor expansion of 1 in x 4.701 * [backup-simplify]: Simplify 1 into 1 4.701 * [taylor]: Taking taylor expansion of 1 in x 4.701 * [backup-simplify]: Simplify 1 into 1 4.701 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.701 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.701 * [taylor]: Taking taylor expansion of x in x 4.701 * [backup-simplify]: Simplify 0 into 0 4.701 * [backup-simplify]: Simplify 1 into 1 4.701 * [backup-simplify]: Simplify (/ 1 1) into 1 4.702 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.702 * [taylor]: Taking taylor expansion of x in x 4.702 * [backup-simplify]: Simplify 0 into 0 4.702 * [backup-simplify]: Simplify 1 into 1 4.702 * [backup-simplify]: Simplify (/ 1 1) into 1 4.702 * [backup-simplify]: Simplify (* 1 1) into 1 4.702 * [backup-simplify]: Simplify (+ 0 1) into 1 4.703 * [backup-simplify]: Simplify (sqrt 1) into 1 4.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.704 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.704 * [backup-simplify]: Simplify (+ 0 0) into 0 4.705 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.705 * [backup-simplify]: Simplify (/ 1 1) into 1 4.705 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.705 * [backup-simplify]: Simplify 1/2 into 1/2 4.705 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.706 * [backup-simplify]: Simplify (- 1/2) into -1/2 4.706 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 4.706 * [backup-simplify]: Simplify -1/2 into -1/2 4.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.707 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.707 * [backup-simplify]: Simplify (- 0) into 0 4.707 * [backup-simplify]: Simplify (+ 0 0) into 0 4.707 * [backup-simplify]: Simplify 0 into 0 4.708 * [backup-simplify]: Simplify (* 1 1) into 1 4.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.710 * [backup-simplify]: Simplify (+ 1 0) into 1 4.710 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 4.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 4.712 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 4.712 * [backup-simplify]: Simplify (- -1/4) into 1/4 4.712 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 4.712 * [backup-simplify]: Simplify 1/4 into 1/4 4.712 * [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))) 4.712 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 4.712 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in (x) around 0 4.712 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 4.713 * [taylor]: Taking taylor expansion of 1/2 in x 4.713 * [backup-simplify]: Simplify 1/2 into 1/2 4.713 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 4.713 * [taylor]: Taking taylor expansion of 1/2 in x 4.713 * [backup-simplify]: Simplify 1/2 into 1/2 4.713 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 4.713 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 4.713 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 4.713 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 4.713 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.713 * [taylor]: Taking taylor expansion of 1 in x 4.713 * [backup-simplify]: Simplify 1 into 1 4.713 * [taylor]: Taking taylor expansion of 1 in x 4.713 * [backup-simplify]: Simplify 1 into 1 4.713 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.713 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.713 * [taylor]: Taking taylor expansion of -1 in x 4.713 * [backup-simplify]: Simplify -1 into -1 4.713 * [taylor]: Taking taylor expansion of x in x 4.713 * [backup-simplify]: Simplify 0 into 0 4.713 * [backup-simplify]: Simplify 1 into 1 4.713 * [backup-simplify]: Simplify (/ -1 1) into -1 4.713 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.713 * [taylor]: Taking taylor expansion of -1 in x 4.713 * [backup-simplify]: Simplify -1 into -1 4.713 * [taylor]: Taking taylor expansion of x in x 4.713 * [backup-simplify]: Simplify 0 into 0 4.713 * [backup-simplify]: Simplify 1 into 1 4.713 * [backup-simplify]: Simplify (/ -1 1) into -1 4.714 * [backup-simplify]: Simplify (* -1 -1) into 1 4.714 * [backup-simplify]: Simplify (+ 0 1) into 1 4.714 * [backup-simplify]: Simplify (sqrt 1) into 1 4.715 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.715 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.716 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.716 * [backup-simplify]: Simplify (+ 0 0) into 0 4.716 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.717 * [backup-simplify]: Simplify (/ 1 1) into 1 4.717 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 4.717 * [taylor]: Taking taylor expansion of 1/2 in x 4.717 * [backup-simplify]: Simplify 1/2 into 1/2 4.717 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 4.717 * [taylor]: Taking taylor expansion of 1/2 in x 4.717 * [backup-simplify]: Simplify 1/2 into 1/2 4.717 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 4.717 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 4.717 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 4.717 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 4.717 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.717 * [taylor]: Taking taylor expansion of 1 in x 4.717 * [backup-simplify]: Simplify 1 into 1 4.717 * [taylor]: Taking taylor expansion of 1 in x 4.717 * [backup-simplify]: Simplify 1 into 1 4.717 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.717 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.717 * [taylor]: Taking taylor expansion of -1 in x 4.717 * [backup-simplify]: Simplify -1 into -1 4.717 * [taylor]: Taking taylor expansion of x in x 4.717 * [backup-simplify]: Simplify 0 into 0 4.717 * [backup-simplify]: Simplify 1 into 1 4.717 * [backup-simplify]: Simplify (/ -1 1) into -1 4.717 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.717 * [taylor]: Taking taylor expansion of -1 in x 4.717 * [backup-simplify]: Simplify -1 into -1 4.717 * [taylor]: Taking taylor expansion of x in x 4.717 * [backup-simplify]: Simplify 0 into 0 4.717 * [backup-simplify]: Simplify 1 into 1 4.718 * [backup-simplify]: Simplify (/ -1 1) into -1 4.718 * [backup-simplify]: Simplify (* -1 -1) into 1 4.718 * [backup-simplify]: Simplify (+ 0 1) into 1 4.718 * [backup-simplify]: Simplify (sqrt 1) into 1 4.719 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.719 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.720 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.720 * [backup-simplify]: Simplify (+ 0 0) into 0 4.720 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.721 * [backup-simplify]: Simplify (/ 1 1) into 1 4.721 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.721 * [backup-simplify]: Simplify 1/2 into 1/2 4.721 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.722 * [backup-simplify]: Simplify (- 1/2) into -1/2 4.722 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 4.722 * [backup-simplify]: Simplify -1/2 into -1/2 4.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.723 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.723 * [backup-simplify]: Simplify (- 0) into 0 4.723 * [backup-simplify]: Simplify (+ 0 0) into 0 4.723 * [backup-simplify]: Simplify 0 into 0 4.723 * [backup-simplify]: Simplify (* 1 1) into 1 4.724 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.725 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.725 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 4.725 * [backup-simplify]: Simplify (+ 1 0) into 1 4.726 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 4.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 4.728 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 4.728 * [backup-simplify]: Simplify (- -1/4) into 1/4 4.728 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 4.728 * [backup-simplify]: Simplify 1/4 into 1/4 4.728 * [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)))) 4.728 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 4.729 * [backup-simplify]: Simplify (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) 4.729 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in (x) around 0 4.729 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 4.729 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 4.729 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 4.729 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 4.729 * [taylor]: Taking taylor expansion of 1/2 in x 4.729 * [backup-simplify]: Simplify 1/2 into 1/2 4.729 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 4.729 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 4.729 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 4.729 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 4.729 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.729 * [taylor]: Taking taylor expansion of 1 in x 4.729 * [backup-simplify]: Simplify 1 into 1 4.729 * [taylor]: Taking taylor expansion of 1 in x 4.729 * [backup-simplify]: Simplify 1 into 1 4.729 * [taylor]: Taking taylor expansion of (* x x) in x 4.729 * [taylor]: Taking taylor expansion of x in x 4.729 * [backup-simplify]: Simplify 0 into 0 4.729 * [backup-simplify]: Simplify 1 into 1 4.729 * [taylor]: Taking taylor expansion of x in x 4.729 * [backup-simplify]: Simplify 0 into 0 4.729 * [backup-simplify]: Simplify 1 into 1 4.729 * [backup-simplify]: Simplify (* 1 1) into 1 4.730 * [backup-simplify]: Simplify (* 0 0) into 0 4.730 * [backup-simplify]: Simplify (+ 1 0) into 1 4.730 * [backup-simplify]: Simplify (sqrt 1) into 1 4.731 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.732 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.732 * [backup-simplify]: Simplify (+ 0 0) into 0 4.733 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.733 * [backup-simplify]: Simplify (/ 1 1) into 1 4.733 * [taylor]: Taking taylor expansion of 1/2 in x 4.733 * [backup-simplify]: Simplify 1/2 into 1/2 4.734 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.734 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 4.735 * [backup-simplify]: Simplify (sqrt 1) into 1 4.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.736 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.737 * [backup-simplify]: Simplify (+ 0 0) into 0 4.738 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.738 * [taylor]: Taking taylor expansion of 1 in x 4.738 * [backup-simplify]: Simplify 1 into 1 4.738 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 4.738 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 4.738 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 4.738 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 4.738 * [taylor]: Taking taylor expansion of 1/2 in x 4.738 * [backup-simplify]: Simplify 1/2 into 1/2 4.738 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 4.738 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 4.738 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 4.738 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 4.738 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.738 * [taylor]: Taking taylor expansion of 1 in x 4.738 * [backup-simplify]: Simplify 1 into 1 4.738 * [taylor]: Taking taylor expansion of 1 in x 4.738 * [backup-simplify]: Simplify 1 into 1 4.738 * [taylor]: Taking taylor expansion of (* x x) in x 4.738 * [taylor]: Taking taylor expansion of x in x 4.738 * [backup-simplify]: Simplify 0 into 0 4.738 * [backup-simplify]: Simplify 1 into 1 4.738 * [taylor]: Taking taylor expansion of x in x 4.738 * [backup-simplify]: Simplify 0 into 0 4.738 * [backup-simplify]: Simplify 1 into 1 4.739 * [backup-simplify]: Simplify (* 1 1) into 1 4.739 * [backup-simplify]: Simplify (* 0 0) into 0 4.740 * [backup-simplify]: Simplify (+ 1 0) into 1 4.740 * [backup-simplify]: Simplify (sqrt 1) into 1 4.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.741 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.742 * [backup-simplify]: Simplify (+ 0 0) into 0 4.743 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.743 * [backup-simplify]: Simplify (/ 1 1) into 1 4.743 * [taylor]: Taking taylor expansion of 1/2 in x 4.743 * [backup-simplify]: Simplify 1/2 into 1/2 4.744 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.744 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 4.744 * [backup-simplify]: Simplify (sqrt 1) into 1 4.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.746 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.746 * [backup-simplify]: Simplify (+ 0 0) into 0 4.747 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.747 * [taylor]: Taking taylor expansion of 1 in x 4.747 * [backup-simplify]: Simplify 1 into 1 4.748 * [backup-simplify]: Simplify (+ 1 1) into 2 4.748 * [backup-simplify]: Simplify 2 into 2 4.748 * [backup-simplify]: Simplify (+ 0 0) into 0 4.748 * [backup-simplify]: Simplify 0 into 0 4.749 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.750 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 4.750 * [backup-simplify]: Simplify (+ 0 1) into 1 4.751 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 4.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 4.754 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 4.758 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 4.759 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 4.760 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 4.760 * [backup-simplify]: Simplify -1/8 into -1/8 4.761 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.762 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 4.763 * [backup-simplify]: Simplify (+ 0 0) into 0 4.764 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 4.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 4.767 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 4.768 * [backup-simplify]: Simplify (+ 0 0) into 0 4.769 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 4.769 * [backup-simplify]: Simplify (+ 0 0) into 0 4.769 * [backup-simplify]: Simplify 0 into 0 4.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.772 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.772 * [backup-simplify]: Simplify (+ 0 0) into 0 4.774 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 4.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 4.778 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 4.778 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 4.780 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 4.780 * [backup-simplify]: Simplify (+ 11/128 0) into 11/128 4.780 * [backup-simplify]: Simplify 11/128 into 11/128 4.781 * [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))) 4.781 * [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) 4.781 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in (x) around 0 4.781 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 4.781 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 4.781 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 4.781 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 4.781 * [taylor]: Taking taylor expansion of 1/2 in x 4.781 * [backup-simplify]: Simplify 1/2 into 1/2 4.781 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 4.781 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 4.781 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 4.782 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 4.782 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.782 * [taylor]: Taking taylor expansion of 1 in x 4.782 * [backup-simplify]: Simplify 1 into 1 4.782 * [taylor]: Taking taylor expansion of 1 in x 4.782 * [backup-simplify]: Simplify 1 into 1 4.782 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.782 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.782 * [taylor]: Taking taylor expansion of x in x 4.782 * [backup-simplify]: Simplify 0 into 0 4.782 * [backup-simplify]: Simplify 1 into 1 4.782 * [backup-simplify]: Simplify (/ 1 1) into 1 4.782 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.782 * [taylor]: Taking taylor expansion of x in x 4.782 * [backup-simplify]: Simplify 0 into 0 4.782 * [backup-simplify]: Simplify 1 into 1 4.783 * [backup-simplify]: Simplify (/ 1 1) into 1 4.783 * [backup-simplify]: Simplify (* 1 1) into 1 4.784 * [backup-simplify]: Simplify (+ 0 1) into 1 4.784 * [backup-simplify]: Simplify (sqrt 1) into 1 4.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.786 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.787 * [backup-simplify]: Simplify (+ 0 0) into 0 4.788 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.788 * [backup-simplify]: Simplify (/ 1 1) into 1 4.788 * [taylor]: Taking taylor expansion of 1/2 in x 4.788 * [backup-simplify]: Simplify 1/2 into 1/2 4.789 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.789 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.789 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.790 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.792 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 4.792 * [taylor]: Taking taylor expansion of 1 in x 4.792 * [backup-simplify]: Simplify 1 into 1 4.792 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 4.792 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 4.792 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 4.792 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 4.793 * [taylor]: Taking taylor expansion of 1/2 in x 4.793 * [backup-simplify]: Simplify 1/2 into 1/2 4.793 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 4.793 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 4.793 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 4.793 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 4.793 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.793 * [taylor]: Taking taylor expansion of 1 in x 4.793 * [backup-simplify]: Simplify 1 into 1 4.793 * [taylor]: Taking taylor expansion of 1 in x 4.793 * [backup-simplify]: Simplify 1 into 1 4.793 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.793 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.793 * [taylor]: Taking taylor expansion of x in x 4.793 * [backup-simplify]: Simplify 0 into 0 4.793 * [backup-simplify]: Simplify 1 into 1 4.794 * [backup-simplify]: Simplify (/ 1 1) into 1 4.794 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.794 * [taylor]: Taking taylor expansion of x in x 4.794 * [backup-simplify]: Simplify 0 into 0 4.794 * [backup-simplify]: Simplify 1 into 1 4.794 * [backup-simplify]: Simplify (/ 1 1) into 1 4.795 * [backup-simplify]: Simplify (* 1 1) into 1 4.795 * [backup-simplify]: Simplify (+ 0 1) into 1 4.795 * [backup-simplify]: Simplify (sqrt 1) into 1 4.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.798 * [backup-simplify]: Simplify (+ 0 0) into 0 4.799 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.799 * [backup-simplify]: Simplify (/ 1 1) into 1 4.799 * [taylor]: Taking taylor expansion of 1/2 in x 4.799 * [backup-simplify]: Simplify 1/2 into 1/2 4.800 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.800 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.801 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.801 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.803 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 4.803 * [taylor]: Taking taylor expansion of 1 in x 4.803 * [backup-simplify]: Simplify 1 into 1 4.804 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 4.805 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 4.807 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 4.809 * [backup-simplify]: Simplify (* 1/4 (/ 1 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 4.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.810 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.811 * [backup-simplify]: Simplify (+ 0 0) into 0 4.816 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 4.819 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 4.823 * [backup-simplify]: Simplify (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 4.828 * [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))))) 4.828 * [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) 4.828 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in (x) around 0 4.828 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 4.828 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 4.828 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 4.828 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 4.828 * [taylor]: Taking taylor expansion of 1/2 in x 4.828 * [backup-simplify]: Simplify 1/2 into 1/2 4.828 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 4.828 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 4.829 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 4.829 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 4.829 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.829 * [taylor]: Taking taylor expansion of 1 in x 4.829 * [backup-simplify]: Simplify 1 into 1 4.829 * [taylor]: Taking taylor expansion of 1 in x 4.829 * [backup-simplify]: Simplify 1 into 1 4.829 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.829 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.829 * [taylor]: Taking taylor expansion of -1 in x 4.829 * [backup-simplify]: Simplify -1 into -1 4.829 * [taylor]: Taking taylor expansion of x in x 4.829 * [backup-simplify]: Simplify 0 into 0 4.829 * [backup-simplify]: Simplify 1 into 1 4.829 * [backup-simplify]: Simplify (/ -1 1) into -1 4.829 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.829 * [taylor]: Taking taylor expansion of -1 in x 4.829 * [backup-simplify]: Simplify -1 into -1 4.829 * [taylor]: Taking taylor expansion of x in x 4.829 * [backup-simplify]: Simplify 0 into 0 4.829 * [backup-simplify]: Simplify 1 into 1 4.830 * [backup-simplify]: Simplify (/ -1 1) into -1 4.830 * [backup-simplify]: Simplify (* -1 -1) into 1 4.831 * [backup-simplify]: Simplify (+ 0 1) into 1 4.831 * [backup-simplify]: Simplify (sqrt 1) into 1 4.832 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.833 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.833 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.834 * [backup-simplify]: Simplify (+ 0 0) into 0 4.834 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.835 * [backup-simplify]: Simplify (/ 1 1) into 1 4.835 * [taylor]: Taking taylor expansion of 1/2 in x 4.835 * [backup-simplify]: Simplify 1/2 into 1/2 4.835 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.835 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.836 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.836 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.838 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 4.838 * [taylor]: Taking taylor expansion of 1 in x 4.838 * [backup-simplify]: Simplify 1 into 1 4.838 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 4.838 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 4.838 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 4.838 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 4.838 * [taylor]: Taking taylor expansion of 1/2 in x 4.838 * [backup-simplify]: Simplify 1/2 into 1/2 4.838 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 4.838 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 4.838 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 4.838 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 4.838 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.838 * [taylor]: Taking taylor expansion of 1 in x 4.838 * [backup-simplify]: Simplify 1 into 1 4.838 * [taylor]: Taking taylor expansion of 1 in x 4.838 * [backup-simplify]: Simplify 1 into 1 4.838 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.838 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.838 * [taylor]: Taking taylor expansion of -1 in x 4.838 * [backup-simplify]: Simplify -1 into -1 4.838 * [taylor]: Taking taylor expansion of x in x 4.838 * [backup-simplify]: Simplify 0 into 0 4.838 * [backup-simplify]: Simplify 1 into 1 4.839 * [backup-simplify]: Simplify (/ -1 1) into -1 4.839 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.839 * [taylor]: Taking taylor expansion of -1 in x 4.839 * [backup-simplify]: Simplify -1 into -1 4.839 * [taylor]: Taking taylor expansion of x in x 4.839 * [backup-simplify]: Simplify 0 into 0 4.839 * [backup-simplify]: Simplify 1 into 1 4.839 * [backup-simplify]: Simplify (/ -1 1) into -1 4.840 * [backup-simplify]: Simplify (* -1 -1) into 1 4.840 * [backup-simplify]: Simplify (+ 0 1) into 1 4.840 * [backup-simplify]: Simplify (sqrt 1) into 1 4.841 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.842 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.843 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.843 * [backup-simplify]: Simplify (+ 0 0) into 0 4.844 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.844 * [backup-simplify]: Simplify (/ 1 1) into 1 4.844 * [taylor]: Taking taylor expansion of 1/2 in x 4.844 * [backup-simplify]: Simplify 1/2 into 1/2 4.844 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.845 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.845 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.846 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.847 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 4.847 * [taylor]: Taking taylor expansion of 1 in x 4.847 * [backup-simplify]: Simplify 1 into 1 4.848 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 4.849 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 4.850 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 4.852 * [backup-simplify]: Simplify (* 1/4 (/ 1 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 4.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.853 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.854 * [backup-simplify]: Simplify (+ 0 0) into 0 4.859 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 4.862 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 4.865 * [backup-simplify]: Simplify (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 4.871 * [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)))))) 4.871 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2) 4.871 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 4.871 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 4.871 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 4.871 * [taylor]: Taking taylor expansion of 1/2 in x 4.871 * [backup-simplify]: Simplify 1/2 into 1/2 4.871 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 4.871 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 4.871 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 4.871 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.871 * [taylor]: Taking taylor expansion of 1 in x 4.871 * [backup-simplify]: Simplify 1 into 1 4.871 * [taylor]: Taking taylor expansion of 1 in x 4.871 * [backup-simplify]: Simplify 1 into 1 4.871 * [taylor]: Taking taylor expansion of (* x x) in x 4.871 * [taylor]: Taking taylor expansion of x in x 4.871 * [backup-simplify]: Simplify 0 into 0 4.872 * [backup-simplify]: Simplify 1 into 1 4.872 * [taylor]: Taking taylor expansion of x in x 4.872 * [backup-simplify]: Simplify 0 into 0 4.872 * [backup-simplify]: Simplify 1 into 1 4.872 * [backup-simplify]: Simplify (* 1 1) into 1 4.872 * [backup-simplify]: Simplify (* 0 0) into 0 4.873 * [backup-simplify]: Simplify (+ 1 0) into 1 4.873 * [backup-simplify]: Simplify (sqrt 1) into 1 4.874 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.874 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.875 * [backup-simplify]: Simplify (+ 0 0) into 0 4.875 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.876 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.876 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 4.876 * [taylor]: Taking taylor expansion of 1/2 in x 4.876 * [backup-simplify]: Simplify 1/2 into 1/2 4.876 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 4.876 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 4.876 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 4.876 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.876 * [taylor]: Taking taylor expansion of 1 in x 4.876 * [backup-simplify]: Simplify 1 into 1 4.876 * [taylor]: Taking taylor expansion of 1 in x 4.876 * [backup-simplify]: Simplify 1 into 1 4.876 * [taylor]: Taking taylor expansion of (* x x) in x 4.876 * [taylor]: Taking taylor expansion of x in x 4.876 * [backup-simplify]: Simplify 0 into 0 4.876 * [backup-simplify]: Simplify 1 into 1 4.876 * [taylor]: Taking taylor expansion of x in x 4.876 * [backup-simplify]: Simplify 0 into 0 4.876 * [backup-simplify]: Simplify 1 into 1 4.877 * [backup-simplify]: Simplify (* 1 1) into 1 4.877 * [backup-simplify]: Simplify (* 0 0) into 0 4.877 * [backup-simplify]: Simplify (+ 1 0) into 1 4.878 * [backup-simplify]: Simplify (sqrt 1) into 1 4.878 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.879 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.879 * [backup-simplify]: Simplify (+ 0 0) into 0 4.880 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.881 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.881 * [backup-simplify]: Simplify 1/2 into 1/2 4.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.881 * [backup-simplify]: Simplify 0 into 0 4.882 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.882 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 4.883 * [backup-simplify]: Simplify (+ 0 1) into 1 4.883 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 4.884 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 4.884 * [backup-simplify]: Simplify -1/4 into -1/4 4.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.885 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 4.885 * [backup-simplify]: Simplify (+ 0 0) into 0 4.886 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 4.887 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 4.887 * [backup-simplify]: Simplify 0 into 0 4.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.889 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.889 * [backup-simplify]: Simplify (+ 0 0) into 0 4.890 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 4.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 4.891 * [backup-simplify]: Simplify 3/16 into 3/16 4.891 * [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))) 4.891 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 4.891 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 4.891 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 4.891 * [taylor]: Taking taylor expansion of 1/2 in x 4.891 * [backup-simplify]: Simplify 1/2 into 1/2 4.891 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 4.891 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 4.891 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 4.891 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.891 * [taylor]: Taking taylor expansion of 1 in x 4.891 * [backup-simplify]: Simplify 1 into 1 4.892 * [taylor]: Taking taylor expansion of 1 in x 4.892 * [backup-simplify]: Simplify 1 into 1 4.892 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.892 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.892 * [taylor]: Taking taylor expansion of x in x 4.892 * [backup-simplify]: Simplify 0 into 0 4.892 * [backup-simplify]: Simplify 1 into 1 4.892 * [backup-simplify]: Simplify (/ 1 1) into 1 4.892 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.892 * [taylor]: Taking taylor expansion of x in x 4.892 * [backup-simplify]: Simplify 0 into 0 4.892 * [backup-simplify]: Simplify 1 into 1 4.893 * [backup-simplify]: Simplify (/ 1 1) into 1 4.894 * [backup-simplify]: Simplify (* 1 1) into 1 4.894 * [backup-simplify]: Simplify (+ 0 1) into 1 4.894 * [backup-simplify]: Simplify (sqrt 1) into 1 4.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.896 * [backup-simplify]: Simplify (+ 0 0) into 0 4.896 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.897 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.897 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 4.897 * [taylor]: Taking taylor expansion of 1/2 in x 4.897 * [backup-simplify]: Simplify 1/2 into 1/2 4.897 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 4.897 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 4.897 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 4.897 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.897 * [taylor]: Taking taylor expansion of 1 in x 4.897 * [backup-simplify]: Simplify 1 into 1 4.897 * [taylor]: Taking taylor expansion of 1 in x 4.897 * [backup-simplify]: Simplify 1 into 1 4.897 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.897 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.897 * [taylor]: Taking taylor expansion of x in x 4.897 * [backup-simplify]: Simplify 0 into 0 4.897 * [backup-simplify]: Simplify 1 into 1 4.897 * [backup-simplify]: Simplify (/ 1 1) into 1 4.897 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.897 * [taylor]: Taking taylor expansion of x in x 4.897 * [backup-simplify]: Simplify 0 into 0 4.897 * [backup-simplify]: Simplify 1 into 1 4.897 * [backup-simplify]: Simplify (/ 1 1) into 1 4.898 * [backup-simplify]: Simplify (* 1 1) into 1 4.898 * [backup-simplify]: Simplify (+ 0 1) into 1 4.898 * [backup-simplify]: Simplify (sqrt 1) into 1 4.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.899 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.900 * [backup-simplify]: Simplify (+ 0 0) into 0 4.900 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.900 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.901 * [backup-simplify]: Simplify 1/2 into 1/2 4.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.901 * [backup-simplify]: Simplify 0 into 0 4.901 * [backup-simplify]: Simplify (* 1 1) into 1 4.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.903 * [backup-simplify]: Simplify (+ 1 0) into 1 4.904 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 4.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 4.905 * [backup-simplify]: Simplify -1/4 into -1/4 4.905 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.907 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.907 * [backup-simplify]: Simplify (+ 0 0) into 0 4.908 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 4.908 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 4.908 * [backup-simplify]: Simplify 0 into 0 4.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.911 * [backup-simplify]: Simplify (+ 0 0) into 0 4.912 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 4.913 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 4.913 * [backup-simplify]: Simplify 3/16 into 3/16 4.913 * [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)))) 4.913 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 4.913 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 4.913 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 4.913 * [taylor]: Taking taylor expansion of 1/2 in x 4.913 * [backup-simplify]: Simplify 1/2 into 1/2 4.913 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 4.913 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 4.913 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 4.913 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.913 * [taylor]: Taking taylor expansion of 1 in x 4.913 * [backup-simplify]: Simplify 1 into 1 4.913 * [taylor]: Taking taylor expansion of 1 in x 4.913 * [backup-simplify]: Simplify 1 into 1 4.913 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.913 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.913 * [taylor]: Taking taylor expansion of -1 in x 4.914 * [backup-simplify]: Simplify -1 into -1 4.914 * [taylor]: Taking taylor expansion of x in x 4.914 * [backup-simplify]: Simplify 0 into 0 4.914 * [backup-simplify]: Simplify 1 into 1 4.914 * [backup-simplify]: Simplify (/ -1 1) into -1 4.914 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.914 * [taylor]: Taking taylor expansion of -1 in x 4.914 * [backup-simplify]: Simplify -1 into -1 4.914 * [taylor]: Taking taylor expansion of x in x 4.914 * [backup-simplify]: Simplify 0 into 0 4.914 * [backup-simplify]: Simplify 1 into 1 4.915 * [backup-simplify]: Simplify (/ -1 1) into -1 4.915 * [backup-simplify]: Simplify (* -1 -1) into 1 4.915 * [backup-simplify]: Simplify (+ 0 1) into 1 4.916 * [backup-simplify]: Simplify (sqrt 1) into 1 4.917 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.918 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.918 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.919 * [backup-simplify]: Simplify (+ 0 0) into 0 4.919 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.920 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.920 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 4.920 * [taylor]: Taking taylor expansion of 1/2 in x 4.920 * [backup-simplify]: Simplify 1/2 into 1/2 4.920 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 4.920 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 4.920 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 4.920 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.921 * [taylor]: Taking taylor expansion of 1 in x 4.921 * [backup-simplify]: Simplify 1 into 1 4.921 * [taylor]: Taking taylor expansion of 1 in x 4.921 * [backup-simplify]: Simplify 1 into 1 4.921 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.921 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.921 * [taylor]: Taking taylor expansion of -1 in x 4.921 * [backup-simplify]: Simplify -1 into -1 4.921 * [taylor]: Taking taylor expansion of x in x 4.921 * [backup-simplify]: Simplify 0 into 0 4.921 * [backup-simplify]: Simplify 1 into 1 4.921 * [backup-simplify]: Simplify (/ -1 1) into -1 4.921 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.921 * [taylor]: Taking taylor expansion of -1 in x 4.921 * [backup-simplify]: Simplify -1 into -1 4.921 * [taylor]: Taking taylor expansion of x in x 4.921 * [backup-simplify]: Simplify 0 into 0 4.921 * [backup-simplify]: Simplify 1 into 1 4.922 * [backup-simplify]: Simplify (/ -1 1) into -1 4.922 * [backup-simplify]: Simplify (* -1 -1) into 1 4.923 * [backup-simplify]: Simplify (+ 0 1) into 1 4.923 * [backup-simplify]: Simplify (sqrt 1) into 1 4.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.925 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.925 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.926 * [backup-simplify]: Simplify (+ 0 0) into 0 4.927 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.927 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.927 * [backup-simplify]: Simplify 1/2 into 1/2 4.928 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.928 * [backup-simplify]: Simplify 0 into 0 4.928 * [backup-simplify]: Simplify (* 1 1) into 1 4.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.931 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 4.932 * [backup-simplify]: Simplify (+ 1 0) into 1 4.933 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 4.934 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 4.934 * [backup-simplify]: Simplify -1/4 into -1/4 4.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.936 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.938 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 4.938 * [backup-simplify]: Simplify (+ 0 0) into 0 4.940 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 4.941 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 4.941 * [backup-simplify]: Simplify 0 into 0 4.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.943 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.945 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.946 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 4.946 * [backup-simplify]: Simplify (+ 0 0) into 0 4.948 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 4.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 4.950 * [backup-simplify]: Simplify 3/16 into 3/16 4.950 * [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)))) 4.950 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 4.950 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 4.950 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 4.950 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 4.951 * [taylor]: Taking taylor expansion of 1/2 in x 4.951 * [backup-simplify]: Simplify 1/2 into 1/2 4.951 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 4.951 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 4.951 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 4.951 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.951 * [taylor]: Taking taylor expansion of 1 in x 4.951 * [backup-simplify]: Simplify 1 into 1 4.951 * [taylor]: Taking taylor expansion of 1 in x 4.951 * [backup-simplify]: Simplify 1 into 1 4.951 * [taylor]: Taking taylor expansion of (* x x) in x 4.951 * [taylor]: Taking taylor expansion of x in x 4.951 * [backup-simplify]: Simplify 0 into 0 4.951 * [backup-simplify]: Simplify 1 into 1 4.951 * [taylor]: Taking taylor expansion of x in x 4.951 * [backup-simplify]: Simplify 0 into 0 4.951 * [backup-simplify]: Simplify 1 into 1 4.951 * [backup-simplify]: Simplify (* 1 1) into 1 4.952 * [backup-simplify]: Simplify (* 0 0) into 0 4.952 * [backup-simplify]: Simplify (+ 1 0) into 1 4.953 * [backup-simplify]: Simplify (sqrt 1) into 1 4.953 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.954 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.954 * [backup-simplify]: Simplify (+ 0 0) into 0 4.955 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.955 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.955 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 4.955 * [taylor]: Taking taylor expansion of 1/2 in x 4.956 * [backup-simplify]: Simplify 1/2 into 1/2 4.956 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 4.956 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 4.956 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 4.956 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.956 * [taylor]: Taking taylor expansion of 1 in x 4.956 * [backup-simplify]: Simplify 1 into 1 4.956 * [taylor]: Taking taylor expansion of 1 in x 4.956 * [backup-simplify]: Simplify 1 into 1 4.956 * [taylor]: Taking taylor expansion of (* x x) in x 4.956 * [taylor]: Taking taylor expansion of x in x 4.956 * [backup-simplify]: Simplify 0 into 0 4.956 * [backup-simplify]: Simplify 1 into 1 4.956 * [taylor]: Taking taylor expansion of x in x 4.956 * [backup-simplify]: Simplify 0 into 0 4.956 * [backup-simplify]: Simplify 1 into 1 4.956 * [backup-simplify]: Simplify (* 1 1) into 1 4.957 * [backup-simplify]: Simplify (* 0 0) into 0 4.957 * [backup-simplify]: Simplify (+ 1 0) into 1 4.957 * [backup-simplify]: Simplify (sqrt 1) into 1 4.958 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.958 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.958 * [backup-simplify]: Simplify (+ 0 0) into 0 4.959 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.959 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.959 * [backup-simplify]: Simplify 1/2 into 1/2 4.960 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.960 * [backup-simplify]: Simplify 0 into 0 4.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.961 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 4.961 * [backup-simplify]: Simplify (+ 0 1) into 1 4.962 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 4.963 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 4.963 * [backup-simplify]: Simplify -1/4 into -1/4 4.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.964 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 4.964 * [backup-simplify]: Simplify (+ 0 0) into 0 4.965 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 4.966 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 4.966 * [backup-simplify]: Simplify 0 into 0 4.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.967 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.967 * [backup-simplify]: Simplify (+ 0 0) into 0 4.968 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 4.969 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 4.969 * [backup-simplify]: Simplify 3/16 into 3/16 4.969 * [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))) 4.969 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 4.969 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 4.969 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 4.969 * [taylor]: Taking taylor expansion of 1/2 in x 4.969 * [backup-simplify]: Simplify 1/2 into 1/2 4.969 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 4.969 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 4.970 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 4.970 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.970 * [taylor]: Taking taylor expansion of 1 in x 4.970 * [backup-simplify]: Simplify 1 into 1 4.970 * [taylor]: Taking taylor expansion of 1 in x 4.970 * [backup-simplify]: Simplify 1 into 1 4.970 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.970 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.970 * [taylor]: Taking taylor expansion of x in x 4.970 * [backup-simplify]: Simplify 0 into 0 4.970 * [backup-simplify]: Simplify 1 into 1 4.970 * [backup-simplify]: Simplify (/ 1 1) into 1 4.970 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.970 * [taylor]: Taking taylor expansion of x in x 4.970 * [backup-simplify]: Simplify 0 into 0 4.970 * [backup-simplify]: Simplify 1 into 1 4.970 * [backup-simplify]: Simplify (/ 1 1) into 1 4.970 * [backup-simplify]: Simplify (* 1 1) into 1 4.971 * [backup-simplify]: Simplify (+ 0 1) into 1 4.971 * [backup-simplify]: Simplify (sqrt 1) into 1 4.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.972 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.972 * [backup-simplify]: Simplify (+ 0 0) into 0 4.973 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.973 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.973 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 4.973 * [taylor]: Taking taylor expansion of 1/2 in x 4.973 * [backup-simplify]: Simplify 1/2 into 1/2 4.973 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 4.973 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 4.973 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 4.973 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.973 * [taylor]: Taking taylor expansion of 1 in x 4.973 * [backup-simplify]: Simplify 1 into 1 4.973 * [taylor]: Taking taylor expansion of 1 in x 4.973 * [backup-simplify]: Simplify 1 into 1 4.973 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.973 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.973 * [taylor]: Taking taylor expansion of x in x 4.973 * [backup-simplify]: Simplify 0 into 0 4.973 * [backup-simplify]: Simplify 1 into 1 4.974 * [backup-simplify]: Simplify (/ 1 1) into 1 4.974 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.974 * [taylor]: Taking taylor expansion of x in x 4.974 * [backup-simplify]: Simplify 0 into 0 4.974 * [backup-simplify]: Simplify 1 into 1 4.974 * [backup-simplify]: Simplify (/ 1 1) into 1 4.974 * [backup-simplify]: Simplify (* 1 1) into 1 4.975 * [backup-simplify]: Simplify (+ 0 1) into 1 4.975 * [backup-simplify]: Simplify (sqrt 1) into 1 4.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.976 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.976 * [backup-simplify]: Simplify (+ 0 0) into 0 4.977 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.977 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.977 * [backup-simplify]: Simplify 1/2 into 1/2 4.978 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.978 * [backup-simplify]: Simplify 0 into 0 4.978 * [backup-simplify]: Simplify (* 1 1) into 1 4.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.980 * [backup-simplify]: Simplify (+ 1 0) into 1 4.981 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 4.981 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 4.981 * [backup-simplify]: Simplify -1/4 into -1/4 4.982 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.984 * [backup-simplify]: Simplify (+ 0 0) into 0 4.984 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 4.985 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 4.985 * [backup-simplify]: Simplify 0 into 0 4.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.988 * [backup-simplify]: Simplify (+ 0 0) into 0 4.989 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 4.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 4.990 * [backup-simplify]: Simplify 3/16 into 3/16 4.990 * [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)))) 4.990 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 4.990 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 4.990 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 4.990 * [taylor]: Taking taylor expansion of 1/2 in x 4.990 * [backup-simplify]: Simplify 1/2 into 1/2 4.990 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 4.990 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 4.990 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 4.990 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.991 * [taylor]: Taking taylor expansion of 1 in x 4.991 * [backup-simplify]: Simplify 1 into 1 4.991 * [taylor]: Taking taylor expansion of 1 in x 4.991 * [backup-simplify]: Simplify 1 into 1 4.991 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.991 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.991 * [taylor]: Taking taylor expansion of -1 in x 4.991 * [backup-simplify]: Simplify -1 into -1 4.991 * [taylor]: Taking taylor expansion of x in x 4.991 * [backup-simplify]: Simplify 0 into 0 4.991 * [backup-simplify]: Simplify 1 into 1 4.991 * [backup-simplify]: Simplify (/ -1 1) into -1 4.991 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.991 * [taylor]: Taking taylor expansion of -1 in x 4.991 * [backup-simplify]: Simplify -1 into -1 4.991 * [taylor]: Taking taylor expansion of x in x 4.991 * [backup-simplify]: Simplify 0 into 0 4.991 * [backup-simplify]: Simplify 1 into 1 4.991 * [backup-simplify]: Simplify (/ -1 1) into -1 4.992 * [backup-simplify]: Simplify (* -1 -1) into 1 4.992 * [backup-simplify]: Simplify (+ 0 1) into 1 4.992 * [backup-simplify]: Simplify (sqrt 1) into 1 4.993 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.993 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.993 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.994 * [backup-simplify]: Simplify (+ 0 0) into 0 4.994 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.994 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.994 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 4.994 * [taylor]: Taking taylor expansion of 1/2 in x 4.994 * [backup-simplify]: Simplify 1/2 into 1/2 4.994 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 4.995 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 4.995 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 4.995 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.995 * [taylor]: Taking taylor expansion of 1 in x 4.995 * [backup-simplify]: Simplify 1 into 1 4.995 * [taylor]: Taking taylor expansion of 1 in x 4.995 * [backup-simplify]: Simplify 1 into 1 4.995 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.995 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.995 * [taylor]: Taking taylor expansion of -1 in x 4.995 * [backup-simplify]: Simplify -1 into -1 4.995 * [taylor]: Taking taylor expansion of x in x 4.995 * [backup-simplify]: Simplify 0 into 0 4.995 * [backup-simplify]: Simplify 1 into 1 4.995 * [backup-simplify]: Simplify (/ -1 1) into -1 4.995 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.995 * [taylor]: Taking taylor expansion of -1 in x 4.995 * [backup-simplify]: Simplify -1 into -1 4.995 * [taylor]: Taking taylor expansion of x in x 4.995 * [backup-simplify]: Simplify 0 into 0 4.995 * [backup-simplify]: Simplify 1 into 1 4.995 * [backup-simplify]: Simplify (/ -1 1) into -1 4.996 * [backup-simplify]: Simplify (* -1 -1) into 1 4.996 * [backup-simplify]: Simplify (+ 0 1) into 1 4.996 * [backup-simplify]: Simplify (sqrt 1) into 1 4.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.998 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.998 * [backup-simplify]: Simplify (+ 0 0) into 0 4.999 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.001 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.001 * [backup-simplify]: Simplify 1/2 into 1/2 5.002 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.002 * [backup-simplify]: Simplify 0 into 0 5.002 * [backup-simplify]: Simplify (* 1 1) into 1 5.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.005 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 5.005 * [backup-simplify]: Simplify (+ 1 0) into 1 5.006 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 5.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 5.007 * [backup-simplify]: Simplify -1/4 into -1/4 5.008 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.009 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.010 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.011 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 5.011 * [backup-simplify]: Simplify (+ 0 0) into 0 5.012 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 5.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 5.014 * [backup-simplify]: Simplify 0 into 0 5.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.016 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.017 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.018 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 5.019 * [backup-simplify]: Simplify (+ 0 0) into 0 5.020 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 5.022 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 5.022 * [backup-simplify]: Simplify 3/16 into 3/16 5.022 * [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)))) 5.022 * * * [progress]: simplifying candidates 5.022 * * * * [progress]: [ 1 / 152 ] simplifiying candidate # 5.023 * * * * [progress]: [ 2 / 152 ] simplifiying candidate # 5.023 * * * * [progress]: [ 3 / 152 ] simplifiying candidate # 5.023 * * * * [progress]: [ 4 / 152 ] simplifiying candidate # 5.023 * * * * [progress]: [ 5 / 152 ] simplifiying candidate # 5.023 * * * * [progress]: [ 6 / 152 ] simplifiying candidate # 5.023 * * * * [progress]: [ 7 / 152 ] simplifiying candidate # 5.023 * * * * [progress]: [ 8 / 152 ] simplifiying candidate # 5.023 * * * * [progress]: [ 9 / 152 ] simplifiying candidate # 5.023 * * * * [progress]: [ 10 / 152 ] simplifiying candidate # 5.023 * * * * [progress]: [ 11 / 152 ] simplifiying candidate # 5.023 * * * * [progress]: [ 12 / 152 ] simplifiying candidate # 5.023 * * * * [progress]: [ 13 / 152 ] simplifiying candidate # 5.024 * * * * [progress]: [ 14 / 152 ] simplifiying candidate # 5.024 * * * * [progress]: [ 15 / 152 ] simplifiying candidate # 5.024 * * * * [progress]: [ 16 / 152 ] simplifiying candidate # 5.024 * * * * [progress]: [ 17 / 152 ] simplifiying candidate # 5.024 * * * * [progress]: [ 18 / 152 ] simplifiying candidate # 5.024 * * * * [progress]: [ 19 / 152 ] simplifiying candidate # 5.024 * * * * [progress]: [ 20 / 152 ] simplifiying candidate # 5.024 * * * * [progress]: [ 21 / 152 ] simplifiying candidate # 5.024 * * * * [progress]: [ 22 / 152 ] simplifiying candidate # 5.024 * * * * [progress]: [ 23 / 152 ] simplifiying candidate # 5.024 * * * * [progress]: [ 24 / 152 ] simplifiying candidate # 5.024 * * * * [progress]: [ 25 / 152 ] simplifiying candidate # 5.024 * * * * [progress]: [ 26 / 152 ] simplifiying candidate # 5.025 * * * * [progress]: [ 27 / 152 ] simplifiying candidate # 5.025 * * * * [progress]: [ 28 / 152 ] simplifiying candidate # 5.025 * * * * [progress]: [ 29 / 152 ] simplifiying candidate # 5.025 * * * * [progress]: [ 30 / 152 ] simplifiying candidate # 5.025 * * * * [progress]: [ 31 / 152 ] simplifiying candidate # 5.025 * * * * [progress]: [ 32 / 152 ] simplifiying candidate # 5.025 * * * * [progress]: [ 33 / 152 ] simplifiying candidate # 5.025 * * * * [progress]: [ 34 / 152 ] simplifiying candidate # 5.025 * * * * [progress]: [ 35 / 152 ] simplifiying candidate # 5.025 * * * * [progress]: [ 36 / 152 ] simplifiying candidate # 5.025 * * * * [progress]: [ 37 / 152 ] simplifiying candidate # 5.025 * * * * [progress]: [ 38 / 152 ] simplifiying candidate # 5.025 * * * * [progress]: [ 39 / 152 ] simplifiying candidate # 5.026 * * * * [progress]: [ 40 / 152 ] simplifiying candidate # 5.026 * * * * [progress]: [ 41 / 152 ] simplifiying candidate # 5.026 * * * * [progress]: [ 42 / 152 ] simplifiying candidate # 5.026 * * * * [progress]: [ 43 / 152 ] simplifiying candidate # 5.026 * * * * [progress]: [ 44 / 152 ] simplifiying candidate # 5.026 * * * * [progress]: [ 45 / 152 ] simplifiying candidate # 5.026 * * * * [progress]: [ 46 / 152 ] simplifiying candidate # 5.026 * * * * [progress]: [ 47 / 152 ] simplifiying candidate # 5.026 * * * * [progress]: [ 48 / 152 ] simplifiying candidate # 5.026 * * * * [progress]: [ 49 / 152 ] simplifiying candidate # 5.026 * * * * [progress]: [ 50 / 152 ] simplifiying candidate # 5.026 * * * * [progress]: [ 51 / 152 ] simplifiying candidate # 5.026 * * * * [progress]: [ 52 / 152 ] simplifiying candidate # 5.026 * * * * [progress]: [ 53 / 152 ] simplifiying candidate # 5.026 * * * * [progress]: [ 54 / 152 ] simplifiying candidate # 5.026 * * * * [progress]: [ 55 / 152 ] simplifiying candidate # 5.027 * * * * [progress]: [ 56 / 152 ] simplifiying candidate # 5.027 * * * * [progress]: [ 57 / 152 ] simplifiying candidate # 5.027 * * * * [progress]: [ 58 / 152 ] simplifiying candidate # 5.027 * * * * [progress]: [ 59 / 152 ] simplifiying candidate # 5.027 * * * * [progress]: [ 60 / 152 ] simplifiying candidate #real (real->posit16 (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))> 5.027 * * * * [progress]: [ 61 / 152 ] simplifiying candidate # 5.027 * * * * [progress]: [ 62 / 152 ] simplifiying candidate # 5.027 * * * * [progress]: [ 63 / 152 ] simplifiying candidate # 5.027 * * * * [progress]: [ 64 / 152 ] simplifiying candidate # 5.027 * * * * [progress]: [ 65 / 152 ] simplifiying candidate # 5.027 * * * * [progress]: [ 66 / 152 ] simplifiying candidate # 5.027 * * * * [progress]: [ 67 / 152 ] simplifiying candidate # 5.027 * * * * [progress]: [ 68 / 152 ] simplifiying candidate # 5.027 * * * * [progress]: [ 69 / 152 ] simplifiying candidate # 5.027 * * * * [progress]: [ 70 / 152 ] simplifiying candidate # 5.027 * * * * [progress]: [ 71 / 152 ] simplifiying candidate # 5.027 * * * * [progress]: [ 72 / 152 ] simplifiying candidate # 5.028 * * * * [progress]: [ 73 / 152 ] simplifiying candidate # 5.028 * * * * [progress]: [ 74 / 152 ] simplifiying candidate # 5.028 * * * * [progress]: [ 75 / 152 ] simplifiying candidate # 5.028 * * * * [progress]: [ 76 / 152 ] simplifiying candidate # 5.028 * * * * [progress]: [ 77 / 152 ] simplifiying candidate # 5.028 * * * * [progress]: [ 78 / 152 ] simplifiying candidate # 5.028 * * * * [progress]: [ 79 / 152 ] simplifiying candidate #real (real->posit16 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))> 5.028 * * * * [progress]: [ 80 / 152 ] simplifiying candidate # 5.028 * * * * [progress]: [ 81 / 152 ] simplifiying candidate # 5.028 * * * * [progress]: [ 82 / 152 ] simplifiying candidate # 5.028 * * * * [progress]: [ 83 / 152 ] simplifiying candidate # 5.028 * * * * [progress]: [ 84 / 152 ] simplifiying candidate # 5.028 * * * * [progress]: [ 85 / 152 ] simplifiying candidate # 5.028 * * * * [progress]: [ 86 / 152 ] simplifiying candidate # 5.028 * * * * [progress]: [ 87 / 152 ] simplifiying candidate # 5.028 * * * * [progress]: [ 88 / 152 ] simplifiying candidate # 5.029 * * * * [progress]: [ 89 / 152 ] simplifiying candidate # 5.029 * * * * [progress]: [ 90 / 152 ] simplifiying candidate # 5.029 * * * * [progress]: [ 91 / 152 ] simplifiying candidate # 5.029 * * * * [progress]: [ 92 / 152 ] simplifiying candidate # 5.029 * * * * [progress]: [ 93 / 152 ] simplifiying candidate # 5.029 * * * * [progress]: [ 94 / 152 ] simplifiying candidate # 5.029 * * * * [progress]: [ 95 / 152 ] simplifiying candidate # 5.029 * * * * [progress]: [ 96 / 152 ] simplifiying candidate # 5.029 * * * * [progress]: [ 97 / 152 ] simplifiying candidate # 5.029 * * * * [progress]: [ 98 / 152 ] simplifiying candidate # 5.029 * * * * [progress]: [ 99 / 152 ] simplifiying candidate # 5.029 * * * * [progress]: [ 100 / 152 ] simplifiying candidate # 5.029 * * * * [progress]: [ 101 / 152 ] simplifiying candidate # 5.029 * * * * [progress]: [ 102 / 152 ] simplifiying candidate # 5.029 * * * * [progress]: [ 103 / 152 ] simplifiying candidate # 5.030 * * * * [progress]: [ 104 / 152 ] simplifiying candidate # 5.030 * * * * [progress]: [ 105 / 152 ] simplifiying candidate # 5.030 * * * * [progress]: [ 106 / 152 ] simplifiying candidate # 5.030 * * * * [progress]: [ 107 / 152 ] simplifiying candidate # 5.030 * * * * [progress]: [ 108 / 152 ] simplifiying candidate # 5.030 * * * * [progress]: [ 109 / 152 ] simplifiying candidate # 5.030 * * * * [progress]: [ 110 / 152 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x)))))))))> 5.030 * * * * [progress]: [ 111 / 152 ] simplifiying candidate # 5.030 * * * * [progress]: [ 112 / 152 ] simplifiying candidate # 5.030 * * * * [progress]: [ 113 / 152 ] simplifiying candidate # 5.030 * * * * [progress]: [ 114 / 152 ] simplifiying candidate # 5.030 * * * * [progress]: [ 115 / 152 ] simplifiying candidate # 5.030 * * * * [progress]: [ 116 / 152 ] simplifiying candidate # 5.030 * * * * [progress]: [ 117 / 152 ] simplifiying candidate # 5.030 * * * * [progress]: [ 118 / 152 ] simplifiying candidate # 5.030 * * * * [progress]: [ 119 / 152 ] simplifiying candidate # 5.031 * * * * [progress]: [ 120 / 152 ] simplifiying candidate # 5.031 * * * * [progress]: [ 121 / 152 ] simplifiying candidate # 5.031 * * * * [progress]: [ 122 / 152 ] simplifiying candidate # 5.031 * * * * [progress]: [ 123 / 152 ] simplifiying candidate # 5.031 * * * * [progress]: [ 124 / 152 ] simplifiying candidate # 5.031 * * * * [progress]: [ 125 / 152 ] simplifiying candidate # 5.031 * * * * [progress]: [ 126 / 152 ] simplifiying candidate # 5.031 * * * * [progress]: [ 127 / 152 ] simplifiying candidate # 5.031 * * * * [progress]: [ 128 / 152 ] simplifiying candidate # 5.031 * * * * [progress]: [ 129 / 152 ] simplifiying candidate # 5.031 * * * * [progress]: [ 130 / 152 ] simplifiying candidate # 5.031 * * * * [progress]: [ 131 / 152 ] simplifiying candidate # 5.032 * * * * [progress]: [ 132 / 152 ] simplifiying candidate # 5.032 * * * * [progress]: [ 133 / 152 ] simplifiying candidate # 5.032 * * * * [progress]: [ 134 / 152 ] simplifiying candidate # 5.032 * * * * [progress]: [ 135 / 152 ] simplifiying candidate # 5.032 * * * * [progress]: [ 136 / 152 ] simplifiying candidate # 5.032 * * * * [progress]: [ 137 / 152 ] simplifiying candidate # 5.032 * * * * [progress]: [ 138 / 152 ] simplifiying candidate # 5.032 * * * * [progress]: [ 139 / 152 ] simplifiying candidate # 5.032 * * * * [progress]: [ 140 / 152 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))> 5.032 * * * * [progress]: [ 141 / 152 ] simplifiying candidate # 5.032 * * * * [progress]: [ 142 / 152 ] simplifiying candidate # 5.032 * * * * [progress]: [ 143 / 152 ] simplifiying candidate # 5.032 * * * * [progress]: [ 144 / 152 ] simplifiying candidate # 5.032 * * * * [progress]: [ 145 / 152 ] simplifiying candidate # 5.032 * * * * [progress]: [ 146 / 152 ] simplifiying candidate # 5.032 * * * * [progress]: [ 147 / 152 ] simplifiying candidate # 5.032 * * * * [progress]: [ 148 / 152 ] simplifiying candidate # 5.033 * * * * [progress]: [ 149 / 152 ] simplifiying candidate # 5.033 * * * * [progress]: [ 150 / 152 ] simplifiying candidate # 5.033 * * * * [progress]: [ 151 / 152 ] simplifiying candidate # 5.033 * * * * [progress]: [ 152 / 152 ] simplifiying candidate # 5.036 * [simplify]: Simplifying: (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (cbrt (/ 1/2 (hypot 1 x))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x))))))) (fma (- (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (/ 1/2 (hypot 1 x))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))))) (fma (- (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (/ 1/2 (hypot 1 x))) (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 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 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1/2 (sqrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x)))))) (fma (- (/ 1/2 (sqrt (hypot 1 x)))) (/ 1 (sqrt (hypot 1 x))) (* (/ 1/2 (sqrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x))))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1/2 (hypot 1 x)) (/ 1 1)))) (fma (- (/ 1/2 (hypot 1 x))) (/ 1 1) (* (/ 1/2 (hypot 1 x)) (/ 1 1))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1/2 (hypot 1 x)) 1))) (fma (- (/ 1/2 (hypot 1 x))) 1 (* (/ 1/2 (hypot 1 x)) 1)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 (hypot 1 x)) 1/2))) (fma (- (/ 1 (hypot 1 x))) 1/2 (* (/ 1 (hypot 1 x)) 1/2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (cbrt (/ 1/2 (hypot 1 x))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x))))))) (fma (- (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (/ 1/2 (hypot 1 x))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))))) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))))) (fma (- (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (/ 1/2 (hypot 1 x))) (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))))) (fma (sqrt 1/2) (sqrt 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 (sqrt 1/2) (sqrt 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 (sqrt 1/2) (sqrt 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 (sqrt 1/2) (sqrt 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 (sqrt 1/2) (sqrt 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 (sqrt 1/2) (sqrt 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 (sqrt 1/2) (sqrt 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 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1/2 (sqrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x)))))) (fma (- (/ 1/2 (sqrt (hypot 1 x)))) (/ 1 (sqrt (hypot 1 x))) (* (/ 1/2 (sqrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x))))) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1/2 (hypot 1 x)) (/ 1 1)))) (fma (- (/ 1/2 (hypot 1 x))) (/ 1 1) (* (/ 1/2 (hypot 1 x)) (/ 1 1))) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1/2 (hypot 1 x)) 1))) (fma (- (/ 1/2 (hypot 1 x))) 1 (* (/ 1/2 (hypot 1 x)) 1)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 (hypot 1 x)) 1/2))) (fma (- (/ 1 (hypot 1 x))) 1/2 (* (/ 1 (hypot 1 x)) 1/2)) (fma 1 1/2 (- (* (cbrt (/ 1/2 (hypot 1 x))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x))))))) (fma (- (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (/ 1/2 (hypot 1 x))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))))) (fma 1 1/2 (- (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))))) (fma (- (sqrt (/ 1/2 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[simplify]: iteration 1: (247 enodes) 5.250 * * [simplify]: iteration 2: (618 enodes) 5.847 * * [simplify]: iteration 3: (1657 enodes) 9.491 * * [simplify]: Extracting #0: cost 80 inf + 0 9.494 * * [simplify]: Extracting #1: cost 502 inf + 3 9.505 * * [simplify]: Extracting #2: cost 861 inf + 4109 9.516 * * [simplify]: Extracting #3: cost 648 inf + 51378 9.550 * * [simplify]: Extracting #4: cost 214 inf + 164646 9.629 * * [simplify]: Extracting #5: cost 16 inf + 226298 9.710 * * [simplify]: Extracting #6: cost 1 inf + 231372 9.766 * * [simplify]: Extracting #7: cost 0 inf + 231569 9.819 * [simplify]: Simplified to: (- 1/2 (/ 1/2 (hypot 1 x))) (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x))) (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x))) (- 1/2 (/ (/ 1/2 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (* (+ (/ -1/2 (cbrt (hypot 1 x))) (/ 1/2 (cbrt (hypot 1 x)))) (/ (/ 1 (cbrt (hypot 1 x))) (cbrt (hypot 1 x)))) (- 1/2 (/ (/ 1/2 (sqrt (hypot 1 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(* (hypot 1 x) (hypot 1 x))) (hypot 1 x))) (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4) (/ -1/2 (hypot 1 x)) (- 1/4 (/ (/ 1/4 (hypot 1 x)) (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x))) (+ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) (- (sqrt 1/2) (sqrt (/ 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)))) (- 1/2 (/ 1/2 (hypot 1 x))) (/ -1/2 (hypot 1 x)) (real->posit16 (- 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 (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (+ (- (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1) (- 1/2 (/ 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))))) (real->posit16 (+ 1 (sqrt (+ 1/2 (/ 1/2 (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) (real->posit16 (/ 1/2 (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) (real->posit16 (/ 1/2 (hypot 1 x))) (fma 5/32 (* (* (* x x) x) (* (* x x) x)) (* (* x x) (- 1/4 (* 3/16 (* x x))))) (+ (- 1/2 (/ 1/2 x)) (/ (/ 1/4 x) (* x x))) (- (+ 1/2 (/ 1/2 x)) (/ (/ 1/4 x) (* x x))) (fma -1/8 (* x x) (fma (* (* x x) (* x x)) 11/128 2)) (+ (- (/ 1/4 (* x (sqrt 1/2))) (/ (/ 1/32 (* x x)) (* 1/2 (sqrt 1/2)))) (+ 1 (sqrt 1/2))) (- (- (+ 1 (sqrt 1/2)) (/ (/ 1/32 (* x x)) (* 1/2 (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2)))) (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))) (+ (/ -3/16 (pow x 5)) (+ (/ -1/2 x) (/ (/ 1/4 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))) (+ (/ -3/16 (pow x 5)) (+ (/ -1/2 x) (/ (/ 1/4 x) (* x x)))) 9.833 * * * [progress]: adding candidates to table 11.320 * * [progress]: iteration 3 / 4 11.320 * * * [progress]: picking best candidate 11.333 * * * * [pick]: Picked # 11.333 * * * [progress]: localizing error 11.388 * * * [progress]: generating rewritten candidates 11.388 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 11.388 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 11.408 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 3) 11.418 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 11.473 * * * [progress]: generating series expansions 11.473 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 11.473 * [backup-simplify]: Simplify (fma (/ -1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) into (fma (* -1 (sqrt (/ 1 (hypot 1 x)))) (* 1/2 (sqrt (/ 1 (hypot 1 x)))) (/ 1/2 (hypot 1 x))) 11.473 * [approximate]: Taking taylor expansion of (fma (* -1 (sqrt (/ 1 (hypot 1 x)))) (* 1/2 (sqrt (/ 1 (hypot 1 x)))) (/ 1/2 (hypot 1 x))) in (x) around 0 11.473 * [taylor]: Taking taylor expansion of (fma (* -1 (sqrt (/ 1 (hypot 1 x)))) (* 1/2 (sqrt (/ 1 (hypot 1 x)))) (/ 1/2 (hypot 1 x))) in x 11.473 * [taylor]: Rewrote expression to (+ (* (* -1 (sqrt (/ 1 (hypot 1 x)))) (* 1/2 (sqrt (/ 1 (hypot 1 x))))) (/ 1/2 (hypot 1 x))) 11.473 * [taylor]: Taking taylor expansion of (* (* -1 (sqrt (/ 1 (hypot 1 x)))) (* 1/2 (sqrt (/ 1 (hypot 1 x))))) in x 11.473 * [taylor]: Taking taylor expansion of (* -1 (sqrt (/ 1 (hypot 1 x)))) in x 11.473 * [taylor]: Taking taylor expansion of -1 in x 11.473 * [backup-simplify]: Simplify -1 into -1 11.474 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 x))) in x 11.474 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 11.474 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 11.474 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 11.474 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 11.474 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.474 * [taylor]: Taking taylor expansion of 1 in x 11.474 * [backup-simplify]: Simplify 1 into 1 11.474 * [taylor]: Taking taylor expansion of 1 in x 11.474 * [backup-simplify]: Simplify 1 into 1 11.474 * [taylor]: Taking taylor expansion of (* x x) in x 11.474 * [taylor]: Taking taylor expansion of x in x 11.474 * [backup-simplify]: Simplify 0 into 0 11.474 * [backup-simplify]: Simplify 1 into 1 11.474 * [taylor]: Taking taylor expansion of x in x 11.474 * [backup-simplify]: Simplify 0 into 0 11.474 * [backup-simplify]: Simplify 1 into 1 11.475 * [backup-simplify]: Simplify (* 1 1) into 1 11.475 * [backup-simplify]: Simplify (* 0 0) into 0 11.475 * [backup-simplify]: Simplify (+ 1 0) into 1 11.476 * [backup-simplify]: Simplify (sqrt 1) into 1 11.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.477 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.478 * [backup-simplify]: Simplify (+ 0 0) into 0 11.478 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.479 * [backup-simplify]: Simplify (/ 1 1) into 1 11.479 * [backup-simplify]: Simplify (sqrt 1) into 1 11.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.480 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.480 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (hypot 1 x)))) in x 11.480 * [taylor]: Taking taylor expansion of 1/2 in x 11.480 * [backup-simplify]: Simplify 1/2 into 1/2 11.480 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 x))) in x 11.480 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 11.481 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 11.481 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 11.481 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 11.481 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.481 * [taylor]: Taking taylor expansion of 1 in x 11.481 * [backup-simplify]: Simplify 1 into 1 11.481 * [taylor]: Taking taylor expansion of 1 in x 11.481 * [backup-simplify]: Simplify 1 into 1 11.481 * [taylor]: Taking taylor expansion of (* x x) in x 11.481 * [taylor]: Taking taylor expansion of x in x 11.481 * [backup-simplify]: Simplify 0 into 0 11.481 * [backup-simplify]: Simplify 1 into 1 11.481 * [taylor]: Taking taylor expansion of x in x 11.481 * [backup-simplify]: Simplify 0 into 0 11.481 * [backup-simplify]: Simplify 1 into 1 11.481 * [backup-simplify]: Simplify (* 1 1) into 1 11.482 * [backup-simplify]: Simplify (* 0 0) into 0 11.482 * [backup-simplify]: Simplify (+ 1 0) into 1 11.482 * [backup-simplify]: Simplify (sqrt 1) into 1 11.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.484 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.484 * [backup-simplify]: Simplify (+ 0 0) into 0 11.485 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.485 * [backup-simplify]: Simplify (/ 1 1) into 1 11.486 * [backup-simplify]: Simplify (sqrt 1) into 1 11.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.487 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 11.487 * [taylor]: Taking taylor expansion of 1/2 in x 11.487 * [backup-simplify]: Simplify 1/2 into 1/2 11.487 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 11.487 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 11.487 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 11.487 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.487 * [taylor]: Taking taylor expansion of 1 in x 11.487 * [backup-simplify]: Simplify 1 into 1 11.487 * [taylor]: Taking taylor expansion of 1 in x 11.487 * [backup-simplify]: Simplify 1 into 1 11.487 * [taylor]: Taking taylor expansion of (* x x) in x 11.487 * [taylor]: Taking taylor expansion of x in x 11.487 * [backup-simplify]: Simplify 0 into 0 11.487 * [backup-simplify]: Simplify 1 into 1 11.487 * [taylor]: Taking taylor expansion of x in x 11.488 * [backup-simplify]: Simplify 0 into 0 11.488 * [backup-simplify]: Simplify 1 into 1 11.488 * [backup-simplify]: Simplify (* 1 1) into 1 11.488 * [backup-simplify]: Simplify (* 0 0) into 0 11.489 * [backup-simplify]: Simplify (+ 1 0) into 1 11.489 * [backup-simplify]: Simplify (sqrt 1) into 1 11.490 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.490 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.491 * [backup-simplify]: Simplify (+ 0 0) into 0 11.491 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.492 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.492 * [taylor]: Taking taylor expansion of (fma (* -1 (sqrt (/ 1 (hypot 1 x)))) (* 1/2 (sqrt (/ 1 (hypot 1 x)))) (/ 1/2 (hypot 1 x))) in x 11.492 * [taylor]: Rewrote expression to (+ (* (* -1 (sqrt (/ 1 (hypot 1 x)))) (* 1/2 (sqrt (/ 1 (hypot 1 x))))) (/ 1/2 (hypot 1 x))) 11.492 * [taylor]: Taking taylor expansion of (* (* -1 (sqrt (/ 1 (hypot 1 x)))) (* 1/2 (sqrt (/ 1 (hypot 1 x))))) in x 11.492 * [taylor]: Taking taylor expansion of (* -1 (sqrt (/ 1 (hypot 1 x)))) in x 11.492 * [taylor]: Taking taylor expansion of -1 in x 11.492 * [backup-simplify]: Simplify -1 into -1 11.492 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 x))) in x 11.492 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 11.492 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 11.492 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 11.492 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 11.492 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.492 * [taylor]: Taking taylor expansion of 1 in x 11.492 * [backup-simplify]: Simplify 1 into 1 11.492 * [taylor]: Taking taylor expansion of 1 in x 11.492 * [backup-simplify]: Simplify 1 into 1 11.492 * [taylor]: Taking taylor expansion of (* x x) in x 11.492 * [taylor]: Taking taylor expansion of x in x 11.492 * [backup-simplify]: Simplify 0 into 0 11.492 * [backup-simplify]: Simplify 1 into 1 11.492 * [taylor]: Taking taylor expansion of x in x 11.493 * [backup-simplify]: Simplify 0 into 0 11.493 * [backup-simplify]: Simplify 1 into 1 11.493 * [backup-simplify]: Simplify (* 1 1) into 1 11.493 * [backup-simplify]: Simplify (* 0 0) into 0 11.494 * [backup-simplify]: Simplify (+ 1 0) into 1 11.494 * [backup-simplify]: Simplify (sqrt 1) into 1 11.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.495 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.496 * [backup-simplify]: Simplify (+ 0 0) into 0 11.496 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.497 * [backup-simplify]: Simplify (/ 1 1) into 1 11.497 * [backup-simplify]: Simplify (sqrt 1) into 1 11.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.499 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.499 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (hypot 1 x)))) in x 11.499 * [taylor]: Taking taylor expansion of 1/2 in x 11.499 * [backup-simplify]: Simplify 1/2 into 1/2 11.499 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 x))) in x 11.499 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 11.499 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 11.499 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 11.499 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 11.499 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.499 * [taylor]: Taking taylor expansion of 1 in x 11.499 * [backup-simplify]: Simplify 1 into 1 11.499 * [taylor]: Taking taylor expansion of 1 in x 11.499 * [backup-simplify]: Simplify 1 into 1 11.499 * [taylor]: Taking taylor expansion of (* x x) in x 11.499 * [taylor]: Taking taylor expansion of x in x 11.499 * [backup-simplify]: Simplify 0 into 0 11.499 * [backup-simplify]: Simplify 1 into 1 11.499 * [taylor]: Taking taylor expansion of x in x 11.499 * [backup-simplify]: Simplify 0 into 0 11.499 * [backup-simplify]: Simplify 1 into 1 11.499 * [backup-simplify]: Simplify (* 1 1) into 1 11.500 * [backup-simplify]: Simplify (* 0 0) into 0 11.500 * [backup-simplify]: Simplify (+ 1 0) into 1 11.501 * [backup-simplify]: Simplify (sqrt 1) into 1 11.501 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.502 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.502 * [backup-simplify]: Simplify (+ 0 0) into 0 11.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.503 * [backup-simplify]: Simplify (/ 1 1) into 1 11.504 * [backup-simplify]: Simplify (sqrt 1) into 1 11.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.505 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.505 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 11.505 * [taylor]: Taking taylor expansion of 1/2 in x 11.505 * [backup-simplify]: Simplify 1/2 into 1/2 11.505 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 11.505 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 11.505 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 11.505 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.505 * [taylor]: Taking taylor expansion of 1 in x 11.505 * [backup-simplify]: Simplify 1 into 1 11.506 * [taylor]: Taking taylor expansion of 1 in x 11.506 * [backup-simplify]: Simplify 1 into 1 11.506 * [taylor]: Taking taylor expansion of (* x x) in x 11.506 * [taylor]: Taking taylor expansion of x in x 11.506 * [backup-simplify]: Simplify 0 into 0 11.506 * [backup-simplify]: Simplify 1 into 1 11.506 * [taylor]: Taking taylor expansion of x in x 11.506 * [backup-simplify]: Simplify 0 into 0 11.506 * [backup-simplify]: Simplify 1 into 1 11.506 * [backup-simplify]: Simplify (* 1 1) into 1 11.506 * [backup-simplify]: Simplify (* 0 0) into 0 11.507 * [backup-simplify]: Simplify (+ 1 0) into 1 11.507 * [backup-simplify]: Simplify (sqrt 1) into 1 11.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.509 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.509 * [backup-simplify]: Simplify (+ 0 0) into 0 11.510 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.510 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.511 * [backup-simplify]: Simplify (* -1 1) into -1 11.511 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.511 * [backup-simplify]: Simplify (* -1 1/2) into -1/2 11.512 * [backup-simplify]: Simplify (+ -1/2 1/2) into 0 11.512 * [backup-simplify]: Simplify 0 into 0 11.513 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.513 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 11.514 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1/2)) into 0 11.515 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.515 * [backup-simplify]: Simplify (+ 0 0) into 0 11.515 * [backup-simplify]: Simplify 0 into 0 11.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.517 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 11.518 * [backup-simplify]: Simplify (+ 0 1) into 1 11.519 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 11.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 11.521 * [backup-simplify]: Simplify (/ (- -1/2 (pow 0 2) (+)) (* 2 1)) into -1/4 11.522 * [backup-simplify]: Simplify (+ (* 1/2 -1/4) (+ (* 0 0) (* 0 1))) into -1/8 11.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.524 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 11.525 * [backup-simplify]: Simplify (+ 0 1) into 1 11.526 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 11.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 11.528 * [backup-simplify]: Simplify (/ (- -1/2 (pow 0 2) (+)) (* 2 1)) into -1/4 11.530 * [backup-simplify]: Simplify (+ (* -1 -1/4) (+ (* 0 0) (* 0 1))) into 1/4 11.531 * [backup-simplify]: Simplify (+ (* -1 -1/8) (+ (* 0 0) (* 1/4 1/2))) into 1/4 11.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.532 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 11.533 * [backup-simplify]: Simplify (+ 0 1) into 1 11.534 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 11.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 11.535 * [backup-simplify]: Simplify (+ 1/4 -1/4) into 0 11.535 * [backup-simplify]: Simplify 0 into 0 11.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.538 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 11.538 * [backup-simplify]: Simplify (+ 0 0) into 0 11.539 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 11.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 11.542 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/4)))) (* 2 1)) into 0 11.543 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/4) (+ (* 0 0) (* 0 1)))) into 0 11.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.545 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 11.546 * [backup-simplify]: Simplify (+ 0 0) into 0 11.547 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 11.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 11.550 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/4)))) (* 2 1)) into 0 11.551 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 -1/4) (+ (* 0 0) (* 0 1)))) into 0 11.553 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 -1/8) (+ (* 1/4 0) (* 0 1/2)))) into 0 11.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.555 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 11.555 * [backup-simplify]: Simplify (+ 0 0) into 0 11.557 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 11.558 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 11.559 * [backup-simplify]: Simplify (+ 0 0) into 0 11.559 * [backup-simplify]: Simplify 0 into 0 11.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.561 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 11.562 * [backup-simplify]: Simplify (+ 0 0) into 0 11.563 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 11.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 11.566 * [backup-simplify]: Simplify (/ (- 3/8 (pow -1/4 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 5/32 11.568 * [backup-simplify]: Simplify (+ (* 1/2 5/32) (+ (* 0 0) (+ (* 0 -1/4) (+ (* 0 0) (* 0 1))))) into 5/64 11.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.571 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 11.571 * [backup-simplify]: Simplify (+ 0 0) into 0 11.573 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 11.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 11.576 * [backup-simplify]: Simplify (/ (- 3/8 (pow -1/4 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 5/32 11.578 * [backup-simplify]: Simplify (+ (* -1 5/32) (+ (* 0 0) (+ (* 0 -1/4) (+ (* 0 0) (* 0 1))))) into -5/32 11.580 * [backup-simplify]: Simplify (+ (* -1 5/64) (+ (* 0 0) (+ (* 1/4 -1/8) (+ (* 0 0) (* -5/32 1/2))))) into -3/16 11.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.582 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 11.583 * [backup-simplify]: Simplify (+ 0 0) into 0 11.584 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 11.586 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 11.587 * [backup-simplify]: Simplify (+ -3/16 3/16) into 0 11.587 * [backup-simplify]: Simplify 0 into 0 11.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.590 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 11.590 * [backup-simplify]: Simplify (+ 0 0) into 0 11.592 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 11.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 11.596 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 5/32)) (* 2 (* -1/4 0)))) (* 2 1)) into 0 11.598 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 5/32) (+ (* 0 0) (+ (* 0 -1/4) (+ (* 0 0) (* 0 1)))))) into 0 11.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.601 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 11.601 * [backup-simplify]: Simplify (+ 0 0) into 0 11.603 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 11.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 11.607 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 5/32)) (* 2 (* -1/4 0)))) (* 2 1)) into 0 11.613 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 5/32) (+ (* 0 0) (+ (* 0 -1/4) (+ (* 0 0) (* 0 1)))))) into 0 11.616 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 5/64) (+ (* 1/4 0) (+ (* 0 -1/8) (+ (* -5/32 0) (* 0 1/2)))))) into 0 11.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.618 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 11.619 * [backup-simplify]: Simplify (+ 0 0) into 0 11.621 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 11.624 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/4 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/16 (/ 0 1)))) into 0 11.624 * [backup-simplify]: Simplify (+ 0 0) into 0 11.624 * [backup-simplify]: Simplify 0 into 0 11.624 * [backup-simplify]: Simplify 0 into 0 11.625 * [backup-simplify]: Simplify (fma (/ -1 (sqrt (hypot 1 (/ 1 x)))) (/ 1/2 (sqrt (hypot 1 (/ 1 x)))) (/ (/ 1/2 (sqrt (hypot 1 (/ 1 x)))) (sqrt (hypot 1 (/ 1 x))))) into (fma (* -1 (sqrt (/ 1 (hypot 1 (/ 1 x))))) (* 1/2 (sqrt (/ 1 (hypot 1 (/ 1 x))))) (/ 1/2 (hypot 1 (/ 1 x)))) 11.625 * [approximate]: Taking taylor expansion of (fma (* -1 (sqrt (/ 1 (hypot 1 (/ 1 x))))) (* 1/2 (sqrt (/ 1 (hypot 1 (/ 1 x))))) (/ 1/2 (hypot 1 (/ 1 x)))) in (x) around 0 11.625 * [taylor]: Taking taylor expansion of (fma (* -1 (sqrt (/ 1 (hypot 1 (/ 1 x))))) (* 1/2 (sqrt (/ 1 (hypot 1 (/ 1 x))))) (/ 1/2 (hypot 1 (/ 1 x)))) in x 11.625 * [taylor]: Rewrote expression to (+ (* (* -1 (sqrt (/ 1 (hypot 1 (/ 1 x))))) (* 1/2 (sqrt (/ 1 (hypot 1 (/ 1 x)))))) (/ 1/2 (hypot 1 (/ 1 x)))) 11.625 * [taylor]: Taking taylor expansion of (* (* -1 (sqrt (/ 1 (hypot 1 (/ 1 x))))) (* 1/2 (sqrt (/ 1 (hypot 1 (/ 1 x)))))) in x 11.625 * [taylor]: Taking taylor expansion of (* -1 (sqrt (/ 1 (hypot 1 (/ 1 x))))) in x 11.625 * [taylor]: Taking taylor expansion of -1 in x 11.625 * [backup-simplify]: Simplify -1 into -1 11.625 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ 1 x)))) in x 11.625 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 11.625 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 11.625 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 11.625 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 11.625 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.625 * [taylor]: Taking taylor expansion of 1 in x 11.625 * [backup-simplify]: Simplify 1 into 1 11.625 * [taylor]: Taking taylor expansion of 1 in x 11.625 * [backup-simplify]: Simplify 1 into 1 11.625 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 11.625 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.625 * [taylor]: Taking taylor expansion of x in x 11.625 * [backup-simplify]: Simplify 0 into 0 11.625 * [backup-simplify]: Simplify 1 into 1 11.626 * [backup-simplify]: Simplify (/ 1 1) into 1 11.626 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.626 * [taylor]: Taking taylor expansion of x in x 11.626 * [backup-simplify]: Simplify 0 into 0 11.626 * [backup-simplify]: Simplify 1 into 1 11.626 * [backup-simplify]: Simplify (/ 1 1) into 1 11.627 * [backup-simplify]: Simplify (* 1 1) into 1 11.627 * [backup-simplify]: Simplify (+ 0 1) into 1 11.627 * [backup-simplify]: Simplify (sqrt 1) into 1 11.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.630 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.630 * [backup-simplify]: Simplify (+ 0 0) into 0 11.631 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.631 * [backup-simplify]: Simplify (/ 1 1) into 1 11.632 * [backup-simplify]: Simplify (sqrt 0) into 0 11.633 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.633 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (hypot 1 (/ 1 x))))) in x 11.633 * [taylor]: Taking taylor expansion of 1/2 in x 11.633 * [backup-simplify]: Simplify 1/2 into 1/2 11.633 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ 1 x)))) in x 11.633 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 11.633 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 11.634 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 11.634 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 11.634 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.634 * [taylor]: Taking taylor expansion of 1 in x 11.634 * [backup-simplify]: Simplify 1 into 1 11.634 * [taylor]: Taking taylor expansion of 1 in x 11.634 * [backup-simplify]: Simplify 1 into 1 11.634 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 11.634 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.634 * [taylor]: Taking taylor expansion of x in x 11.634 * [backup-simplify]: Simplify 0 into 0 11.634 * [backup-simplify]: Simplify 1 into 1 11.634 * [backup-simplify]: Simplify (/ 1 1) into 1 11.634 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.634 * [taylor]: Taking taylor expansion of x in x 11.634 * [backup-simplify]: Simplify 0 into 0 11.634 * [backup-simplify]: Simplify 1 into 1 11.635 * [backup-simplify]: Simplify (/ 1 1) into 1 11.635 * [backup-simplify]: Simplify (* 1 1) into 1 11.636 * [backup-simplify]: Simplify (+ 0 1) into 1 11.636 * [backup-simplify]: Simplify (sqrt 1) into 1 11.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.638 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.639 * [backup-simplify]: Simplify (+ 0 0) into 0 11.639 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.640 * [backup-simplify]: Simplify (/ 1 1) into 1 11.640 * [backup-simplify]: Simplify (sqrt 0) into 0 11.641 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.641 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 11.641 * [taylor]: Taking taylor expansion of 1/2 in x 11.641 * [backup-simplify]: Simplify 1/2 into 1/2 11.642 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 11.642 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 11.642 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 11.642 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.642 * [taylor]: Taking taylor expansion of 1 in x 11.642 * [backup-simplify]: Simplify 1 into 1 11.642 * [taylor]: Taking taylor expansion of 1 in x 11.642 * [backup-simplify]: Simplify 1 into 1 11.642 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 11.642 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.642 * [taylor]: Taking taylor expansion of x in x 11.642 * [backup-simplify]: Simplify 0 into 0 11.642 * [backup-simplify]: Simplify 1 into 1 11.642 * [backup-simplify]: Simplify (/ 1 1) into 1 11.642 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.642 * [taylor]: Taking taylor expansion of x in x 11.642 * [backup-simplify]: Simplify 0 into 0 11.642 * [backup-simplify]: Simplify 1 into 1 11.643 * [backup-simplify]: Simplify (/ 1 1) into 1 11.643 * [backup-simplify]: Simplify (* 1 1) into 1 11.644 * [backup-simplify]: Simplify (+ 0 1) into 1 11.644 * [backup-simplify]: Simplify (sqrt 1) into 1 11.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.646 * [backup-simplify]: Simplify (+ 0 0) into 0 11.647 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.648 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.648 * [taylor]: Taking taylor expansion of (fma (* -1 (sqrt (/ 1 (hypot 1 (/ 1 x))))) (* 1/2 (sqrt (/ 1 (hypot 1 (/ 1 x))))) (/ 1/2 (hypot 1 (/ 1 x)))) in x 11.648 * [taylor]: Rewrote expression to (+ (* (* -1 (sqrt (/ 1 (hypot 1 (/ 1 x))))) (* 1/2 (sqrt (/ 1 (hypot 1 (/ 1 x)))))) (/ 1/2 (hypot 1 (/ 1 x)))) 11.648 * [taylor]: Taking taylor expansion of (* (* -1 (sqrt (/ 1 (hypot 1 (/ 1 x))))) (* 1/2 (sqrt (/ 1 (hypot 1 (/ 1 x)))))) in x 11.648 * [taylor]: Taking taylor expansion of (* -1 (sqrt (/ 1 (hypot 1 (/ 1 x))))) in x 11.648 * [taylor]: Taking taylor expansion of -1 in x 11.648 * [backup-simplify]: Simplify -1 into -1 11.648 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ 1 x)))) in x 11.648 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 11.648 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 11.648 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 11.648 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 11.648 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.648 * [taylor]: Taking taylor expansion of 1 in x 11.648 * [backup-simplify]: Simplify 1 into 1 11.648 * [taylor]: Taking taylor expansion of 1 in x 11.648 * [backup-simplify]: Simplify 1 into 1 11.648 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 11.648 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.648 * [taylor]: Taking taylor expansion of x in x 11.648 * [backup-simplify]: Simplify 0 into 0 11.648 * [backup-simplify]: Simplify 1 into 1 11.649 * [backup-simplify]: Simplify (/ 1 1) into 1 11.649 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.649 * [taylor]: Taking taylor expansion of x in x 11.649 * [backup-simplify]: Simplify 0 into 0 11.649 * [backup-simplify]: Simplify 1 into 1 11.649 * [backup-simplify]: Simplify (/ 1 1) into 1 11.650 * [backup-simplify]: Simplify (* 1 1) into 1 11.650 * [backup-simplify]: Simplify (+ 0 1) into 1 11.650 * [backup-simplify]: Simplify (sqrt 1) into 1 11.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.653 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.653 * [backup-simplify]: Simplify (+ 0 0) into 0 11.654 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.654 * [backup-simplify]: Simplify (/ 1 1) into 1 11.654 * [backup-simplify]: Simplify (sqrt 0) into 0 11.656 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.656 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (hypot 1 (/ 1 x))))) in x 11.656 * [taylor]: Taking taylor expansion of 1/2 in x 11.656 * [backup-simplify]: Simplify 1/2 into 1/2 11.656 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ 1 x)))) in x 11.656 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 11.656 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 11.656 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 11.656 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 11.656 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.656 * [taylor]: Taking taylor expansion of 1 in x 11.656 * [backup-simplify]: Simplify 1 into 1 11.656 * [taylor]: Taking taylor expansion of 1 in x 11.656 * [backup-simplify]: Simplify 1 into 1 11.656 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 11.656 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.656 * [taylor]: Taking taylor expansion of x in x 11.656 * [backup-simplify]: Simplify 0 into 0 11.656 * [backup-simplify]: Simplify 1 into 1 11.657 * [backup-simplify]: Simplify (/ 1 1) into 1 11.657 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.657 * [taylor]: Taking taylor expansion of x in x 11.657 * [backup-simplify]: Simplify 0 into 0 11.657 * [backup-simplify]: Simplify 1 into 1 11.657 * [backup-simplify]: Simplify (/ 1 1) into 1 11.658 * [backup-simplify]: Simplify (* 1 1) into 1 11.658 * [backup-simplify]: Simplify (+ 0 1) into 1 11.658 * [backup-simplify]: Simplify (sqrt 1) into 1 11.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.661 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.661 * [backup-simplify]: Simplify (+ 0 0) into 0 11.662 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.662 * [backup-simplify]: Simplify (/ 1 1) into 1 11.662 * [backup-simplify]: Simplify (sqrt 0) into 0 11.664 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.664 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 11.664 * [taylor]: Taking taylor expansion of 1/2 in x 11.664 * [backup-simplify]: Simplify 1/2 into 1/2 11.664 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 11.664 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 11.664 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 11.664 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.664 * [taylor]: Taking taylor expansion of 1 in x 11.664 * [backup-simplify]: Simplify 1 into 1 11.664 * [taylor]: Taking taylor expansion of 1 in x 11.664 * [backup-simplify]: Simplify 1 into 1 11.664 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 11.664 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.664 * [taylor]: Taking taylor expansion of x in x 11.664 * [backup-simplify]: Simplify 0 into 0 11.664 * [backup-simplify]: Simplify 1 into 1 11.665 * [backup-simplify]: Simplify (/ 1 1) into 1 11.665 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.665 * [taylor]: Taking taylor expansion of x in x 11.665 * [backup-simplify]: Simplify 0 into 0 11.665 * [backup-simplify]: Simplify 1 into 1 11.665 * [backup-simplify]: Simplify (/ 1 1) into 1 11.666 * [backup-simplify]: Simplify (* 1 1) into 1 11.666 * [backup-simplify]: Simplify (+ 0 1) into 1 11.666 * [backup-simplify]: Simplify (sqrt 1) into 1 11.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.668 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.669 * [backup-simplify]: Simplify (+ 0 0) into 0 11.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.670 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.670 * [backup-simplify]: Simplify (* -1 0) into 0 11.671 * [backup-simplify]: Simplify (* 1/2 0) into 0 11.671 * [backup-simplify]: Simplify (* 0 0) into 0 11.672 * [backup-simplify]: Simplify (+ 0 0) into 0 11.672 * [backup-simplify]: Simplify 0 into 0 11.673 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 11.675 * [backup-simplify]: Simplify (+ (* -1 +nan.0) (* 0 0)) into (- +nan.0) 11.675 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* (- +nan.0) 0)) into 0 11.676 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 11.676 * [backup-simplify]: Simplify 1/2 into 1/2 11.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.679 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.682 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 11.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.685 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.687 * [backup-simplify]: Simplify (+ (* -1 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 11.691 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* (- +nan.0) (- +nan.0)) (* (- +nan.0) 0))) into (- +nan.0) 11.692 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.693 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 11.693 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.694 * [backup-simplify]: Simplify (* 1 1) into 1 11.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.697 * [backup-simplify]: Simplify (+ 1 0) into 1 11.698 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 11.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 11.703 * [backup-simplify]: Simplify (/ (- -1/2 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.705 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 11.706 * [backup-simplify]: Simplify (* 1 1) into 1 11.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.709 * [backup-simplify]: Simplify (+ 1 0) into 1 11.710 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 11.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 11.715 * [backup-simplify]: Simplify (/ (- -1/2 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.717 * [backup-simplify]: Simplify (+ (* -1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 11.723 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* (- +nan.0) (- +nan.0)) (+ (* (- +nan.0) (- +nan.0)) (* (- +nan.0) 0)))) into (- +nan.0) 11.724 * [backup-simplify]: Simplify (* 1 1) into 1 11.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.727 * [backup-simplify]: Simplify (+ 1 0) into 1 11.728 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 11.729 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 11.730 * [backup-simplify]: Simplify (+ (- +nan.0) -1/4) into (- +nan.0) 11.730 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.731 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 3)) (+ (* (- +nan.0) (pow (/ 1 x) 2)) (* 1/2 (/ 1 x)))) into (- (* 1/2 (/ 1 x)) (+ (* +nan.0 (/ 1 (pow x 3))) (- (* +nan.0 (/ 1 (pow x 2)))))) 11.732 * [backup-simplify]: Simplify (fma (/ -1 (sqrt (hypot 1 (/ 1 (- x))))) (/ 1/2 (sqrt (hypot 1 (/ 1 (- x))))) (/ (/ 1/2 (sqrt (hypot 1 (/ 1 (- x))))) (sqrt (hypot 1 (/ 1 (- x)))))) into (fma (* -1 (sqrt (/ 1 (hypot 1 (/ -1 x))))) (* 1/2 (sqrt (/ 1 (hypot 1 (/ -1 x))))) (/ 1/2 (hypot 1 (/ -1 x)))) 11.732 * [approximate]: Taking taylor expansion of (fma (* -1 (sqrt (/ 1 (hypot 1 (/ -1 x))))) (* 1/2 (sqrt (/ 1 (hypot 1 (/ -1 x))))) (/ 1/2 (hypot 1 (/ -1 x)))) in (x) around 0 11.732 * [taylor]: Taking taylor expansion of (fma (* -1 (sqrt (/ 1 (hypot 1 (/ -1 x))))) (* 1/2 (sqrt (/ 1 (hypot 1 (/ -1 x))))) (/ 1/2 (hypot 1 (/ -1 x)))) in x 11.732 * [taylor]: Rewrote expression to (+ (* (* -1 (sqrt (/ 1 (hypot 1 (/ -1 x))))) (* 1/2 (sqrt (/ 1 (hypot 1 (/ -1 x)))))) (/ 1/2 (hypot 1 (/ -1 x)))) 11.732 * [taylor]: Taking taylor expansion of (* (* -1 (sqrt (/ 1 (hypot 1 (/ -1 x))))) (* 1/2 (sqrt (/ 1 (hypot 1 (/ -1 x)))))) in x 11.732 * [taylor]: Taking taylor expansion of (* -1 (sqrt (/ 1 (hypot 1 (/ -1 x))))) in x 11.732 * [taylor]: Taking taylor expansion of -1 in x 11.732 * [backup-simplify]: Simplify -1 into -1 11.732 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ -1 x)))) in x 11.732 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 11.732 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 11.732 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 11.732 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 11.732 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.732 * [taylor]: Taking taylor expansion of 1 in x 11.732 * [backup-simplify]: Simplify 1 into 1 11.732 * [taylor]: Taking taylor expansion of 1 in x 11.732 * [backup-simplify]: Simplify 1 into 1 11.732 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 11.732 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.732 * [taylor]: Taking taylor expansion of -1 in x 11.733 * [backup-simplify]: Simplify -1 into -1 11.733 * [taylor]: Taking taylor expansion of x in x 11.733 * [backup-simplify]: Simplify 0 into 0 11.733 * [backup-simplify]: Simplify 1 into 1 11.733 * [backup-simplify]: Simplify (/ -1 1) into -1 11.733 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.733 * [taylor]: Taking taylor expansion of -1 in x 11.733 * [backup-simplify]: Simplify -1 into -1 11.733 * [taylor]: Taking taylor expansion of x in x 11.733 * [backup-simplify]: Simplify 0 into 0 11.733 * [backup-simplify]: Simplify 1 into 1 11.734 * [backup-simplify]: Simplify (/ -1 1) into -1 11.734 * [backup-simplify]: Simplify (* -1 -1) into 1 11.734 * [backup-simplify]: Simplify (+ 0 1) into 1 11.735 * [backup-simplify]: Simplify (sqrt 1) into 1 11.736 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.737 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.737 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.738 * [backup-simplify]: Simplify (+ 0 0) into 0 11.738 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.739 * [backup-simplify]: Simplify (/ 1 1) into 1 11.739 * [backup-simplify]: Simplify (sqrt 0) into 0 11.741 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.741 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (hypot 1 (/ -1 x))))) in x 11.741 * [taylor]: Taking taylor expansion of 1/2 in x 11.741 * [backup-simplify]: Simplify 1/2 into 1/2 11.741 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ -1 x)))) in x 11.741 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 11.741 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 11.741 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 11.741 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 11.741 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.741 * [taylor]: Taking taylor expansion of 1 in x 11.741 * [backup-simplify]: Simplify 1 into 1 11.741 * [taylor]: Taking taylor expansion of 1 in x 11.741 * [backup-simplify]: Simplify 1 into 1 11.741 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 11.741 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.741 * [taylor]: Taking taylor expansion of -1 in x 11.741 * [backup-simplify]: Simplify -1 into -1 11.741 * [taylor]: Taking taylor expansion of x in x 11.741 * [backup-simplify]: Simplify 0 into 0 11.741 * [backup-simplify]: Simplify 1 into 1 11.742 * [backup-simplify]: Simplify (/ -1 1) into -1 11.742 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.742 * [taylor]: Taking taylor expansion of -1 in x 11.742 * [backup-simplify]: Simplify -1 into -1 11.742 * [taylor]: Taking taylor expansion of x in x 11.742 * [backup-simplify]: Simplify 0 into 0 11.742 * [backup-simplify]: Simplify 1 into 1 11.742 * [backup-simplify]: Simplify (/ -1 1) into -1 11.743 * [backup-simplify]: Simplify (* -1 -1) into 1 11.743 * [backup-simplify]: Simplify (+ 0 1) into 1 11.744 * [backup-simplify]: Simplify (sqrt 1) into 1 11.745 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.746 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.746 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.747 * [backup-simplify]: Simplify (+ 0 0) into 0 11.748 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.748 * [backup-simplify]: Simplify (/ 1 1) into 1 11.748 * [backup-simplify]: Simplify (sqrt 0) into 0 11.750 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.750 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 11.750 * [taylor]: Taking taylor expansion of 1/2 in x 11.750 * [backup-simplify]: Simplify 1/2 into 1/2 11.750 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 11.750 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 11.750 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 11.750 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.750 * [taylor]: Taking taylor expansion of 1 in x 11.750 * [backup-simplify]: Simplify 1 into 1 11.750 * [taylor]: Taking taylor expansion of 1 in x 11.750 * [backup-simplify]: Simplify 1 into 1 11.750 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 11.750 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.750 * [taylor]: Taking taylor expansion of -1 in x 11.750 * [backup-simplify]: Simplify -1 into -1 11.750 * [taylor]: Taking taylor expansion of x in x 11.750 * [backup-simplify]: Simplify 0 into 0 11.750 * [backup-simplify]: Simplify 1 into 1 11.751 * [backup-simplify]: Simplify (/ -1 1) into -1 11.751 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.751 * [taylor]: Taking taylor expansion of -1 in x 11.751 * [backup-simplify]: Simplify -1 into -1 11.751 * [taylor]: Taking taylor expansion of x in x 11.751 * [backup-simplify]: Simplify 0 into 0 11.751 * [backup-simplify]: Simplify 1 into 1 11.751 * [backup-simplify]: Simplify (/ -1 1) into -1 11.752 * [backup-simplify]: Simplify (* -1 -1) into 1 11.752 * [backup-simplify]: Simplify (+ 0 1) into 1 11.753 * [backup-simplify]: Simplify (sqrt 1) into 1 11.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.756 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.756 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.756 * [backup-simplify]: Simplify (+ 0 0) into 0 11.757 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.757 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.757 * [taylor]: Taking taylor expansion of (fma (* -1 (sqrt (/ 1 (hypot 1 (/ -1 x))))) (* 1/2 (sqrt (/ 1 (hypot 1 (/ -1 x))))) (/ 1/2 (hypot 1 (/ -1 x)))) in x 11.757 * [taylor]: Rewrote expression to (+ (* (* -1 (sqrt (/ 1 (hypot 1 (/ -1 x))))) (* 1/2 (sqrt (/ 1 (hypot 1 (/ -1 x)))))) (/ 1/2 (hypot 1 (/ -1 x)))) 11.757 * [taylor]: Taking taylor expansion of (* (* -1 (sqrt (/ 1 (hypot 1 (/ -1 x))))) (* 1/2 (sqrt (/ 1 (hypot 1 (/ -1 x)))))) in x 11.757 * [taylor]: Taking taylor expansion of (* -1 (sqrt (/ 1 (hypot 1 (/ -1 x))))) in x 11.757 * [taylor]: Taking taylor expansion of -1 in x 11.757 * [backup-simplify]: Simplify -1 into -1 11.757 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ -1 x)))) in x 11.757 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 11.757 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 11.757 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 11.757 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 11.757 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.757 * [taylor]: Taking taylor expansion of 1 in x 11.757 * [backup-simplify]: Simplify 1 into 1 11.758 * [taylor]: Taking taylor expansion of 1 in x 11.758 * [backup-simplify]: Simplify 1 into 1 11.758 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 11.758 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.758 * [taylor]: Taking taylor expansion of -1 in x 11.758 * [backup-simplify]: Simplify -1 into -1 11.758 * [taylor]: Taking taylor expansion of x in x 11.758 * [backup-simplify]: Simplify 0 into 0 11.758 * [backup-simplify]: Simplify 1 into 1 11.758 * [backup-simplify]: Simplify (/ -1 1) into -1 11.758 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.758 * [taylor]: Taking taylor expansion of -1 in x 11.758 * [backup-simplify]: Simplify -1 into -1 11.758 * [taylor]: Taking taylor expansion of x in x 11.758 * [backup-simplify]: Simplify 0 into 0 11.758 * [backup-simplify]: Simplify 1 into 1 11.758 * [backup-simplify]: Simplify (/ -1 1) into -1 11.759 * [backup-simplify]: Simplify (* -1 -1) into 1 11.759 * [backup-simplify]: Simplify (+ 0 1) into 1 11.759 * [backup-simplify]: Simplify (sqrt 1) into 1 11.760 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.760 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.760 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.761 * [backup-simplify]: Simplify (+ 0 0) into 0 11.761 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.761 * [backup-simplify]: Simplify (/ 1 1) into 1 11.762 * [backup-simplify]: Simplify (sqrt 0) into 0 11.762 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.762 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (hypot 1 (/ -1 x))))) in x 11.762 * [taylor]: Taking taylor expansion of 1/2 in x 11.762 * [backup-simplify]: Simplify 1/2 into 1/2 11.763 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ -1 x)))) in x 11.763 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 11.763 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 11.763 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 11.763 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 11.763 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.763 * [taylor]: Taking taylor expansion of 1 in x 11.763 * [backup-simplify]: Simplify 1 into 1 11.763 * [taylor]: Taking taylor expansion of 1 in x 11.763 * [backup-simplify]: Simplify 1 into 1 11.763 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 11.763 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.763 * [taylor]: Taking taylor expansion of -1 in x 11.763 * [backup-simplify]: Simplify -1 into -1 11.763 * [taylor]: Taking taylor expansion of x in x 11.763 * [backup-simplify]: Simplify 0 into 0 11.763 * [backup-simplify]: Simplify 1 into 1 11.763 * [backup-simplify]: Simplify (/ -1 1) into -1 11.763 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.763 * [taylor]: Taking taylor expansion of -1 in x 11.763 * [backup-simplify]: Simplify -1 into -1 11.763 * [taylor]: Taking taylor expansion of x in x 11.763 * [backup-simplify]: Simplify 0 into 0 11.763 * [backup-simplify]: Simplify 1 into 1 11.763 * [backup-simplify]: Simplify (/ -1 1) into -1 11.764 * [backup-simplify]: Simplify (* -1 -1) into 1 11.764 * [backup-simplify]: Simplify (+ 0 1) into 1 11.764 * [backup-simplify]: Simplify (sqrt 1) into 1 11.765 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.765 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.766 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.766 * [backup-simplify]: Simplify (+ 0 0) into 0 11.767 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.767 * [backup-simplify]: Simplify (/ 1 1) into 1 11.767 * [backup-simplify]: Simplify (sqrt 0) into 0 11.768 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.768 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 11.768 * [taylor]: Taking taylor expansion of 1/2 in x 11.768 * [backup-simplify]: Simplify 1/2 into 1/2 11.768 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 11.768 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 11.768 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 11.768 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.768 * [taylor]: Taking taylor expansion of 1 in x 11.768 * [backup-simplify]: Simplify 1 into 1 11.768 * [taylor]: Taking taylor expansion of 1 in x 11.768 * [backup-simplify]: Simplify 1 into 1 11.768 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 11.768 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.768 * [taylor]: Taking taylor expansion of -1 in x 11.768 * [backup-simplify]: Simplify -1 into -1 11.768 * [taylor]: Taking taylor expansion of x in x 11.768 * [backup-simplify]: Simplify 0 into 0 11.768 * [backup-simplify]: Simplify 1 into 1 11.768 * [backup-simplify]: Simplify (/ -1 1) into -1 11.769 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.769 * [taylor]: Taking taylor expansion of -1 in x 11.769 * [backup-simplify]: Simplify -1 into -1 11.769 * [taylor]: Taking taylor expansion of x in x 11.769 * [backup-simplify]: Simplify 0 into 0 11.769 * [backup-simplify]: Simplify 1 into 1 11.769 * [backup-simplify]: Simplify (/ -1 1) into -1 11.769 * [backup-simplify]: Simplify (* -1 -1) into 1 11.769 * [backup-simplify]: Simplify (+ 0 1) into 1 11.770 * [backup-simplify]: Simplify (sqrt 1) into 1 11.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.771 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.771 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.771 * [backup-simplify]: Simplify (+ 0 0) into 0 11.772 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.772 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.772 * [backup-simplify]: Simplify (* -1 0) into 0 11.773 * [backup-simplify]: Simplify (* 1/2 0) into 0 11.773 * [backup-simplify]: Simplify (* 0 0) into 0 11.773 * [backup-simplify]: Simplify (+ 0 0) into 0 11.773 * [backup-simplify]: Simplify 0 into 0 11.774 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 11.775 * [backup-simplify]: Simplify (+ (* -1 +nan.0) (* 0 0)) into (- +nan.0) 11.775 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* (- +nan.0) 0)) into 0 11.776 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 11.776 * [backup-simplify]: Simplify 1/2 into 1/2 11.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.778 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.779 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 11.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.782 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.783 * [backup-simplify]: Simplify (+ (* -1 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 11.785 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* (- +nan.0) (- +nan.0)) (* (- +nan.0) 0))) into (- +nan.0) 11.786 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.786 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 11.787 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.787 * [backup-simplify]: Simplify (* 1 1) into 1 11.787 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.788 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.789 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 11.789 * [backup-simplify]: Simplify (+ 1 0) into 1 11.789 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 11.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 11.793 * [backup-simplify]: Simplify (/ (- -1/2 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.794 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 11.795 * [backup-simplify]: Simplify (* 1 1) into 1 11.796 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.797 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.798 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 11.798 * [backup-simplify]: Simplify (+ 1 0) into 1 11.799 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 11.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 11.805 * [backup-simplify]: Simplify (/ (- -1/2 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.807 * [backup-simplify]: Simplify (+ (* -1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 11.814 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* (- +nan.0) (- +nan.0)) (+ (* (- +nan.0) (- +nan.0)) (* (- +nan.0) 0)))) into (- +nan.0) 11.814 * [backup-simplify]: Simplify (* 1 1) into 1 11.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.816 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.817 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 11.817 * [backup-simplify]: Simplify (+ 1 0) into 1 11.818 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 11.819 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 11.820 * [backup-simplify]: Simplify (+ (- +nan.0) -1/4) into (- +nan.0) 11.821 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.822 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 3)) (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (* 1/2 (/ 1 (- x))))) into (- (+ (* +nan.0 (/ 1 (pow x 3))) (- (* 1/2 (/ 1 x)) (* +nan.0 (/ 1 (pow x 2)))))) 11.822 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 11.822 * [backup-simplify]: Simplify (- 1/2 (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 11.822 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in (x) around 0 11.822 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 11.822 * [taylor]: Taking taylor expansion of 1/2 in x 11.822 * [backup-simplify]: Simplify 1/2 into 1/2 11.822 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 11.822 * [taylor]: Taking taylor expansion of 1/2 in x 11.822 * [backup-simplify]: Simplify 1/2 into 1/2 11.822 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 11.822 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 11.823 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 11.823 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 11.823 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.823 * [taylor]: Taking taylor expansion of 1 in x 11.823 * [backup-simplify]: Simplify 1 into 1 11.823 * [taylor]: Taking taylor expansion of 1 in x 11.823 * [backup-simplify]: Simplify 1 into 1 11.823 * [taylor]: Taking taylor expansion of (* x x) in x 11.823 * [taylor]: Taking taylor expansion of x in x 11.823 * [backup-simplify]: Simplify 0 into 0 11.823 * [backup-simplify]: Simplify 1 into 1 11.823 * [taylor]: Taking taylor expansion of x in x 11.823 * [backup-simplify]: Simplify 0 into 0 11.823 * [backup-simplify]: Simplify 1 into 1 11.823 * [backup-simplify]: Simplify (* 1 1) into 1 11.824 * [backup-simplify]: Simplify (* 0 0) into 0 11.824 * [backup-simplify]: Simplify (+ 1 0) into 1 11.824 * [backup-simplify]: Simplify (sqrt 1) into 1 11.825 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.826 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.826 * [backup-simplify]: Simplify (+ 0 0) into 0 11.827 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.827 * [backup-simplify]: Simplify (/ 1 1) into 1 11.827 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 11.827 * [taylor]: Taking taylor expansion of 1/2 in x 11.827 * [backup-simplify]: Simplify 1/2 into 1/2 11.827 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 11.827 * [taylor]: Taking taylor expansion of 1/2 in x 11.827 * [backup-simplify]: Simplify 1/2 into 1/2 11.827 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 11.827 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 11.827 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 11.827 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 11.827 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.827 * [taylor]: Taking taylor expansion of 1 in x 11.827 * [backup-simplify]: Simplify 1 into 1 11.827 * [taylor]: Taking taylor expansion of 1 in x 11.827 * [backup-simplify]: Simplify 1 into 1 11.828 * [taylor]: Taking taylor expansion of (* x x) in x 11.828 * [taylor]: Taking taylor expansion of x in x 11.828 * [backup-simplify]: Simplify 0 into 0 11.828 * [backup-simplify]: Simplify 1 into 1 11.828 * [taylor]: Taking taylor expansion of x in x 11.828 * [backup-simplify]: Simplify 0 into 0 11.828 * [backup-simplify]: Simplify 1 into 1 11.828 * [backup-simplify]: Simplify (* 1 1) into 1 11.828 * [backup-simplify]: Simplify (* 0 0) into 0 11.829 * [backup-simplify]: Simplify (+ 1 0) into 1 11.829 * [backup-simplify]: Simplify (sqrt 1) into 1 11.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.830 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.831 * [backup-simplify]: Simplify (+ 0 0) into 0 11.831 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.832 * [backup-simplify]: Simplify (/ 1 1) into 1 11.833 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.833 * [backup-simplify]: Simplify (- 1/2) into -1/2 11.833 * [backup-simplify]: Simplify (+ 1/2 -1/2) into 0 11.833 * [backup-simplify]: Simplify 0 into 0 11.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.835 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.835 * [backup-simplify]: Simplify (- 0) into 0 11.836 * [backup-simplify]: Simplify (+ 0 0) into 0 11.836 * [backup-simplify]: Simplify 0 into 0 11.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.838 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 11.838 * [backup-simplify]: Simplify (+ 0 1) into 1 11.840 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 11.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 11.842 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 11.843 * [backup-simplify]: Simplify (- -1/4) into 1/4 11.843 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 11.843 * [backup-simplify]: Simplify 1/4 into 1/4 11.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.845 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 11.846 * [backup-simplify]: Simplify (+ 0 0) into 0 11.847 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 11.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 11.850 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 11.850 * [backup-simplify]: Simplify (- 0) into 0 11.851 * [backup-simplify]: Simplify (+ 0 0) into 0 11.851 * [backup-simplify]: Simplify 0 into 0 11.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.853 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 11.854 * [backup-simplify]: Simplify (+ 0 0) into 0 11.855 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 11.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 11.859 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 11.859 * [backup-simplify]: Simplify (- 3/16) into -3/16 11.860 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 11.860 * [backup-simplify]: Simplify -3/16 into -3/16 11.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.863 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 11.863 * [backup-simplify]: Simplify (+ 0 0) into 0 11.865 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 11.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 11.868 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 11.868 * [backup-simplify]: Simplify (- 0) into 0 11.868 * [backup-simplify]: Simplify (+ 0 0) into 0 11.868 * [backup-simplify]: Simplify 0 into 0 11.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.872 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 11.872 * [backup-simplify]: Simplify (+ 0 0) into 0 11.873 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 11.875 * [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 11.876 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 11.876 * [backup-simplify]: Simplify (- -5/32) into 5/32 11.877 * [backup-simplify]: Simplify (+ 0 5/32) into 5/32 11.877 * [backup-simplify]: Simplify 5/32 into 5/32 11.877 * [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))) 11.877 * [backup-simplify]: Simplify (- 1/2 (/ (/ 1/2 (sqrt (hypot 1 (/ 1 x)))) (sqrt (hypot 1 (/ 1 x))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 11.877 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in (x) around 0 11.877 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 11.877 * [taylor]: Taking taylor expansion of 1/2 in x 11.877 * [backup-simplify]: Simplify 1/2 into 1/2 11.877 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 11.877 * [taylor]: Taking taylor expansion of 1/2 in x 11.877 * [backup-simplify]: Simplify 1/2 into 1/2 11.877 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 11.877 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 11.877 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 11.877 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 11.877 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.877 * [taylor]: Taking taylor expansion of 1 in x 11.877 * [backup-simplify]: Simplify 1 into 1 11.877 * [taylor]: Taking taylor expansion of 1 in x 11.877 * [backup-simplify]: Simplify 1 into 1 11.877 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 11.877 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.877 * [taylor]: Taking taylor expansion of x in x 11.877 * [backup-simplify]: Simplify 0 into 0 11.877 * [backup-simplify]: Simplify 1 into 1 11.878 * [backup-simplify]: Simplify (/ 1 1) into 1 11.878 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.878 * [taylor]: Taking taylor expansion of x in x 11.878 * [backup-simplify]: Simplify 0 into 0 11.878 * [backup-simplify]: Simplify 1 into 1 11.878 * [backup-simplify]: Simplify (/ 1 1) into 1 11.878 * [backup-simplify]: Simplify (* 1 1) into 1 11.879 * [backup-simplify]: Simplify (+ 0 1) into 1 11.879 * [backup-simplify]: Simplify (sqrt 1) into 1 11.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.880 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.880 * [backup-simplify]: Simplify (+ 0 0) into 0 11.881 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.881 * [backup-simplify]: Simplify (/ 1 1) into 1 11.881 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 11.881 * [taylor]: Taking taylor expansion of 1/2 in x 11.881 * [backup-simplify]: Simplify 1/2 into 1/2 11.881 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 11.881 * [taylor]: Taking taylor expansion of 1/2 in x 11.881 * [backup-simplify]: Simplify 1/2 into 1/2 11.881 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 11.881 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 11.881 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 11.881 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 11.881 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.881 * [taylor]: Taking taylor expansion of 1 in x 11.881 * [backup-simplify]: Simplify 1 into 1 11.881 * [taylor]: Taking taylor expansion of 1 in x 11.881 * [backup-simplify]: Simplify 1 into 1 11.881 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 11.881 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.881 * [taylor]: Taking taylor expansion of x in x 11.881 * [backup-simplify]: Simplify 0 into 0 11.881 * [backup-simplify]: Simplify 1 into 1 11.882 * [backup-simplify]: Simplify (/ 1 1) into 1 11.882 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.882 * [taylor]: Taking taylor expansion of x in x 11.882 * [backup-simplify]: Simplify 0 into 0 11.882 * [backup-simplify]: Simplify 1 into 1 11.882 * [backup-simplify]: Simplify (/ 1 1) into 1 11.882 * [backup-simplify]: Simplify (* 1 1) into 1 11.882 * [backup-simplify]: Simplify (+ 0 1) into 1 11.883 * [backup-simplify]: Simplify (sqrt 1) into 1 11.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.884 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.884 * [backup-simplify]: Simplify (+ 0 0) into 0 11.885 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.885 * [backup-simplify]: Simplify (/ 1 1) into 1 11.885 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 11.885 * [backup-simplify]: Simplify 1/2 into 1/2 11.886 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.886 * [backup-simplify]: Simplify (- 1/2) into -1/2 11.886 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 11.886 * [backup-simplify]: Simplify -1/2 into -1/2 11.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.887 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.887 * [backup-simplify]: Simplify (- 0) into 0 11.887 * [backup-simplify]: Simplify (+ 0 0) into 0 11.888 * [backup-simplify]: Simplify 0 into 0 11.888 * [backup-simplify]: Simplify (* 1 1) into 1 11.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.890 * [backup-simplify]: Simplify (+ 1 0) into 1 11.890 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 11.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 11.892 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 11.892 * [backup-simplify]: Simplify (- -1/4) into 1/4 11.892 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 11.892 * [backup-simplify]: Simplify 1/4 into 1/4 11.892 * [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))) 11.892 * [backup-simplify]: Simplify (- 1/2 (/ (/ 1/2 (sqrt (hypot 1 (/ 1 (- x))))) (sqrt (hypot 1 (/ 1 (- x)))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 11.892 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in (x) around 0 11.892 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 11.892 * [taylor]: Taking taylor expansion of 1/2 in x 11.892 * [backup-simplify]: Simplify 1/2 into 1/2 11.892 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 11.893 * [taylor]: Taking taylor expansion of 1/2 in x 11.893 * [backup-simplify]: Simplify 1/2 into 1/2 11.893 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 11.893 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 11.893 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 11.893 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 11.893 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.893 * [taylor]: Taking taylor expansion of 1 in x 11.893 * [backup-simplify]: Simplify 1 into 1 11.893 * [taylor]: Taking taylor expansion of 1 in x 11.893 * [backup-simplify]: Simplify 1 into 1 11.893 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 11.893 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.893 * [taylor]: Taking taylor expansion of -1 in x 11.893 * [backup-simplify]: Simplify -1 into -1 11.893 * [taylor]: Taking taylor expansion of x in x 11.893 * [backup-simplify]: Simplify 0 into 0 11.893 * [backup-simplify]: Simplify 1 into 1 11.893 * [backup-simplify]: Simplify (/ -1 1) into -1 11.893 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.893 * [taylor]: Taking taylor expansion of -1 in x 11.893 * [backup-simplify]: Simplify -1 into -1 11.893 * [taylor]: Taking taylor expansion of x in x 11.893 * [backup-simplify]: Simplify 0 into 0 11.893 * [backup-simplify]: Simplify 1 into 1 11.894 * [backup-simplify]: Simplify (/ -1 1) into -1 11.894 * [backup-simplify]: Simplify (* -1 -1) into 1 11.894 * [backup-simplify]: Simplify (+ 0 1) into 1 11.894 * [backup-simplify]: Simplify (sqrt 1) into 1 11.895 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.895 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.896 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.896 * [backup-simplify]: Simplify (+ 0 0) into 0 11.897 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.897 * [backup-simplify]: Simplify (/ 1 1) into 1 11.897 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 11.897 * [taylor]: Taking taylor expansion of 1/2 in x 11.897 * [backup-simplify]: Simplify 1/2 into 1/2 11.897 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 11.897 * [taylor]: Taking taylor expansion of 1/2 in x 11.897 * [backup-simplify]: Simplify 1/2 into 1/2 11.897 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 11.897 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 11.897 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 11.897 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 11.897 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.897 * [taylor]: Taking taylor expansion of 1 in x 11.897 * [backup-simplify]: Simplify 1 into 1 11.897 * [taylor]: Taking taylor expansion of 1 in x 11.897 * [backup-simplify]: Simplify 1 into 1 11.897 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 11.897 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.897 * [taylor]: Taking taylor expansion of -1 in x 11.897 * [backup-simplify]: Simplify -1 into -1 11.897 * [taylor]: Taking taylor expansion of x in x 11.897 * [backup-simplify]: Simplify 0 into 0 11.897 * [backup-simplify]: Simplify 1 into 1 11.897 * [backup-simplify]: Simplify (/ -1 1) into -1 11.898 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.898 * [taylor]: Taking taylor expansion of -1 in x 11.898 * [backup-simplify]: Simplify -1 into -1 11.898 * [taylor]: Taking taylor expansion of x in x 11.898 * [backup-simplify]: Simplify 0 into 0 11.898 * [backup-simplify]: Simplify 1 into 1 11.898 * [backup-simplify]: Simplify (/ -1 1) into -1 11.898 * [backup-simplify]: Simplify (* -1 -1) into 1 11.899 * [backup-simplify]: Simplify (+ 0 1) into 1 11.899 * [backup-simplify]: Simplify (sqrt 1) into 1 11.900 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.902 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.902 * [backup-simplify]: Simplify (+ 0 0) into 0 11.903 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.903 * [backup-simplify]: Simplify (/ 1 1) into 1 11.904 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 11.904 * [backup-simplify]: Simplify 1/2 into 1/2 11.904 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.905 * [backup-simplify]: Simplify (- 1/2) into -1/2 11.905 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 11.905 * [backup-simplify]: Simplify -1/2 into -1/2 11.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.907 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.907 * [backup-simplify]: Simplify (- 0) into 0 11.907 * [backup-simplify]: Simplify (+ 0 0) into 0 11.907 * [backup-simplify]: Simplify 0 into 0 11.908 * [backup-simplify]: Simplify (* 1 1) into 1 11.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.911 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 11.911 * [backup-simplify]: Simplify (+ 1 0) into 1 11.913 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 11.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 11.915 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 11.915 * [backup-simplify]: Simplify (- -1/4) into 1/4 11.916 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 11.916 * [backup-simplify]: Simplify 1/4 into 1/4 11.916 * [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)))) 11.916 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 3) 11.917 * [backup-simplify]: Simplify (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) into (/ 1/2 (hypot 1 x)) 11.917 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 11.917 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 11.917 * [taylor]: Taking taylor expansion of 1/2 in x 11.917 * [backup-simplify]: Simplify 1/2 into 1/2 11.917 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 11.917 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 11.917 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 11.917 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.917 * [taylor]: Taking taylor expansion of 1 in x 11.917 * [backup-simplify]: Simplify 1 into 1 11.917 * [taylor]: Taking taylor expansion of 1 in x 11.917 * [backup-simplify]: Simplify 1 into 1 11.917 * [taylor]: Taking taylor expansion of (* x x) in x 11.917 * [taylor]: Taking taylor expansion of x in x 11.917 * [backup-simplify]: Simplify 0 into 0 11.917 * [backup-simplify]: Simplify 1 into 1 11.917 * [taylor]: Taking taylor expansion of x in x 11.917 * [backup-simplify]: Simplify 0 into 0 11.917 * [backup-simplify]: Simplify 1 into 1 11.918 * [backup-simplify]: Simplify (* 1 1) into 1 11.918 * [backup-simplify]: Simplify (* 0 0) into 0 11.918 * [backup-simplify]: Simplify (+ 1 0) into 1 11.919 * [backup-simplify]: Simplify (sqrt 1) into 1 11.919 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.920 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.920 * [backup-simplify]: Simplify (+ 0 0) into 0 11.921 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.922 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.922 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 11.922 * [taylor]: Taking taylor expansion of 1/2 in x 11.922 * [backup-simplify]: Simplify 1/2 into 1/2 11.922 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 11.922 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 11.922 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 11.922 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.922 * [taylor]: Taking taylor expansion of 1 in x 11.922 * [backup-simplify]: Simplify 1 into 1 11.922 * [taylor]: Taking taylor expansion of 1 in x 11.922 * [backup-simplify]: Simplify 1 into 1 11.922 * [taylor]: Taking taylor expansion of (* x x) in x 11.922 * [taylor]: Taking taylor expansion of x in x 11.922 * [backup-simplify]: Simplify 0 into 0 11.922 * [backup-simplify]: Simplify 1 into 1 11.922 * [taylor]: Taking taylor expansion of x in x 11.922 * [backup-simplify]: Simplify 0 into 0 11.922 * [backup-simplify]: Simplify 1 into 1 11.923 * [backup-simplify]: Simplify (* 1 1) into 1 11.923 * [backup-simplify]: Simplify (* 0 0) into 0 11.923 * [backup-simplify]: Simplify (+ 1 0) into 1 11.924 * [backup-simplify]: Simplify (sqrt 1) into 1 11.924 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.925 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.925 * [backup-simplify]: Simplify (+ 0 0) into 0 11.926 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.926 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.926 * [backup-simplify]: Simplify 1/2 into 1/2 11.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.927 * [backup-simplify]: Simplify 0 into 0 11.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.928 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 11.928 * [backup-simplify]: Simplify (+ 0 1) into 1 11.929 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 11.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 11.929 * [backup-simplify]: Simplify -1/4 into -1/4 11.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.930 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 11.931 * [backup-simplify]: Simplify (+ 0 0) into 0 11.931 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 11.932 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 11.932 * [backup-simplify]: Simplify 0 into 0 11.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.934 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 11.934 * [backup-simplify]: Simplify (+ 0 0) into 0 11.935 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 11.936 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 11.936 * [backup-simplify]: Simplify 3/16 into 3/16 11.936 * [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))) 11.936 * [backup-simplify]: Simplify (/ (/ 1/2 (sqrt (hypot 1 (/ 1 x)))) (sqrt (hypot 1 (/ 1 x)))) into (/ 1/2 (hypot 1 (/ 1 x))) 11.936 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 11.936 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 11.936 * [taylor]: Taking taylor expansion of 1/2 in x 11.936 * [backup-simplify]: Simplify 1/2 into 1/2 11.936 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 11.936 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 11.936 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 11.936 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.936 * [taylor]: Taking taylor expansion of 1 in x 11.936 * [backup-simplify]: Simplify 1 into 1 11.936 * [taylor]: Taking taylor expansion of 1 in x 11.936 * [backup-simplify]: Simplify 1 into 1 11.936 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 11.936 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.937 * [taylor]: Taking taylor expansion of x in x 11.937 * [backup-simplify]: Simplify 0 into 0 11.937 * [backup-simplify]: Simplify 1 into 1 11.937 * [backup-simplify]: Simplify (/ 1 1) into 1 11.937 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.937 * [taylor]: Taking taylor expansion of x in x 11.937 * [backup-simplify]: Simplify 0 into 0 11.937 * [backup-simplify]: Simplify 1 into 1 11.937 * [backup-simplify]: Simplify (/ 1 1) into 1 11.937 * [backup-simplify]: Simplify (* 1 1) into 1 11.938 * [backup-simplify]: Simplify (+ 0 1) into 1 11.938 * [backup-simplify]: Simplify (sqrt 1) into 1 11.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.939 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.939 * [backup-simplify]: Simplify (+ 0 0) into 0 11.940 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.940 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.940 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 11.940 * [taylor]: Taking taylor expansion of 1/2 in x 11.940 * [backup-simplify]: Simplify 1/2 into 1/2 11.940 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 11.940 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 11.940 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 11.940 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.940 * [taylor]: Taking taylor expansion of 1 in x 11.940 * [backup-simplify]: Simplify 1 into 1 11.940 * [taylor]: Taking taylor expansion of 1 in x 11.940 * [backup-simplify]: Simplify 1 into 1 11.940 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 11.940 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.940 * [taylor]: Taking taylor expansion of x in x 11.940 * [backup-simplify]: Simplify 0 into 0 11.940 * [backup-simplify]: Simplify 1 into 1 11.941 * [backup-simplify]: Simplify (/ 1 1) into 1 11.941 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.941 * [taylor]: Taking taylor expansion of x in x 11.941 * [backup-simplify]: Simplify 0 into 0 11.941 * [backup-simplify]: Simplify 1 into 1 11.941 * [backup-simplify]: Simplify (/ 1 1) into 1 11.941 * [backup-simplify]: Simplify (* 1 1) into 1 11.941 * [backup-simplify]: Simplify (+ 0 1) into 1 11.942 * [backup-simplify]: Simplify (sqrt 1) into 1 11.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.943 * [backup-simplify]: Simplify (+ 0 0) into 0 11.944 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.944 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.944 * [backup-simplify]: Simplify 1/2 into 1/2 11.945 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.945 * [backup-simplify]: Simplify 0 into 0 11.945 * [backup-simplify]: Simplify (* 1 1) into 1 11.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.947 * [backup-simplify]: Simplify (+ 1 0) into 1 11.948 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 11.948 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 11.948 * [backup-simplify]: Simplify -1/4 into -1/4 11.949 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.951 * [backup-simplify]: Simplify (+ 0 0) into 0 11.951 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 11.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 11.952 * [backup-simplify]: Simplify 0 into 0 11.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.955 * [backup-simplify]: Simplify (+ 0 0) into 0 11.956 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 11.957 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 11.957 * [backup-simplify]: Simplify 3/16 into 3/16 11.957 * [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)))) 11.957 * [backup-simplify]: Simplify (/ (/ 1/2 (sqrt (hypot 1 (/ 1 (- x))))) (sqrt (hypot 1 (/ 1 (- x))))) into (/ 1/2 (hypot 1 (/ -1 x))) 11.957 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 11.957 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 11.957 * [taylor]: Taking taylor expansion of 1/2 in x 11.957 * [backup-simplify]: Simplify 1/2 into 1/2 11.957 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 11.957 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 11.957 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 11.957 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.957 * [taylor]: Taking taylor expansion of 1 in x 11.957 * [backup-simplify]: Simplify 1 into 1 11.957 * [taylor]: Taking taylor expansion of 1 in x 11.957 * [backup-simplify]: Simplify 1 into 1 11.957 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 11.958 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.958 * [taylor]: Taking taylor expansion of -1 in x 11.958 * [backup-simplify]: Simplify -1 into -1 11.958 * [taylor]: Taking taylor expansion of x in x 11.958 * [backup-simplify]: Simplify 0 into 0 11.958 * [backup-simplify]: Simplify 1 into 1 11.958 * [backup-simplify]: Simplify (/ -1 1) into -1 11.958 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.958 * [taylor]: Taking taylor expansion of -1 in x 11.958 * [backup-simplify]: Simplify -1 into -1 11.958 * [taylor]: Taking taylor expansion of x in x 11.958 * [backup-simplify]: Simplify 0 into 0 11.958 * [backup-simplify]: Simplify 1 into 1 11.959 * [backup-simplify]: Simplify (/ -1 1) into -1 11.959 * [backup-simplify]: Simplify (* -1 -1) into 1 11.960 * [backup-simplify]: Simplify (+ 0 1) into 1 11.960 * [backup-simplify]: Simplify (sqrt 1) into 1 11.961 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.962 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.962 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.963 * [backup-simplify]: Simplify (+ 0 0) into 0 11.964 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.964 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.964 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 11.964 * [taylor]: Taking taylor expansion of 1/2 in x 11.964 * [backup-simplify]: Simplify 1/2 into 1/2 11.964 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 11.964 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 11.964 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 11.964 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.964 * [taylor]: Taking taylor expansion of 1 in x 11.964 * [backup-simplify]: Simplify 1 into 1 11.964 * [taylor]: Taking taylor expansion of 1 in x 11.964 * [backup-simplify]: Simplify 1 into 1 11.964 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 11.964 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.964 * [taylor]: Taking taylor expansion of -1 in x 11.965 * [backup-simplify]: Simplify -1 into -1 11.965 * [taylor]: Taking taylor expansion of x in x 11.965 * [backup-simplify]: Simplify 0 into 0 11.965 * [backup-simplify]: Simplify 1 into 1 11.965 * [backup-simplify]: Simplify (/ -1 1) into -1 11.965 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.965 * [taylor]: Taking taylor expansion of -1 in x 11.965 * [backup-simplify]: Simplify -1 into -1 11.965 * [taylor]: Taking taylor expansion of x in x 11.965 * [backup-simplify]: Simplify 0 into 0 11.965 * [backup-simplify]: Simplify 1 into 1 11.966 * [backup-simplify]: Simplify (/ -1 1) into -1 11.966 * [backup-simplify]: Simplify (* -1 -1) into 1 11.967 * [backup-simplify]: Simplify (+ 0 1) into 1 11.967 * [backup-simplify]: Simplify (sqrt 1) into 1 11.968 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.969 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.969 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.970 * [backup-simplify]: Simplify (+ 0 0) into 0 11.971 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.971 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.971 * [backup-simplify]: Simplify 1/2 into 1/2 11.972 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.972 * [backup-simplify]: Simplify 0 into 0 11.972 * [backup-simplify]: Simplify (* 1 1) into 1 11.974 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.976 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 11.978 * [backup-simplify]: Simplify (+ 1 0) into 1 11.979 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 11.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 11.981 * [backup-simplify]: Simplify -1/4 into -1/4 11.981 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.984 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.985 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 11.986 * [backup-simplify]: Simplify (+ 0 0) into 0 11.987 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 11.988 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 11.988 * [backup-simplify]: Simplify 0 into 0 11.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.992 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.993 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 11.994 * [backup-simplify]: Simplify (+ 0 0) into 0 11.995 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 11.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 11.997 * [backup-simplify]: Simplify 3/16 into 3/16 11.998 * [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)))) 11.998 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 11.998 * [backup-simplify]: Simplify (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) into (/ 1/2 (hypot 1 x)) 11.998 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 11.998 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 11.998 * [taylor]: Taking taylor expansion of 1/2 in x 11.998 * [backup-simplify]: Simplify 1/2 into 1/2 11.998 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 11.998 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 11.998 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 11.998 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.998 * [taylor]: Taking taylor expansion of 1 in x 11.998 * [backup-simplify]: Simplify 1 into 1 11.998 * [taylor]: Taking taylor expansion of 1 in x 11.998 * [backup-simplify]: Simplify 1 into 1 11.998 * [taylor]: Taking taylor expansion of (* x x) in x 11.998 * [taylor]: Taking taylor expansion of x in x 11.998 * [backup-simplify]: Simplify 0 into 0 11.998 * [backup-simplify]: Simplify 1 into 1 11.998 * [taylor]: Taking taylor expansion of x in x 11.998 * [backup-simplify]: Simplify 0 into 0 11.998 * [backup-simplify]: Simplify 1 into 1 11.999 * [backup-simplify]: Simplify (* 1 1) into 1 11.999 * [backup-simplify]: Simplify (* 0 0) into 0 12.000 * [backup-simplify]: Simplify (+ 1 0) into 1 12.000 * [backup-simplify]: Simplify (sqrt 1) into 1 12.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.001 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 12.002 * [backup-simplify]: Simplify (+ 0 0) into 0 12.002 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.003 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.003 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 12.003 * [taylor]: Taking taylor expansion of 1/2 in x 12.003 * [backup-simplify]: Simplify 1/2 into 1/2 12.003 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 12.003 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 12.003 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 12.003 * [taylor]: Taking taylor expansion of (* 1 1) in x 12.003 * [taylor]: Taking taylor expansion of 1 in x 12.003 * [backup-simplify]: Simplify 1 into 1 12.003 * [taylor]: Taking taylor expansion of 1 in x 12.003 * [backup-simplify]: Simplify 1 into 1 12.003 * [taylor]: Taking taylor expansion of (* x x) in x 12.003 * [taylor]: Taking taylor expansion of x in x 12.003 * [backup-simplify]: Simplify 0 into 0 12.003 * [backup-simplify]: Simplify 1 into 1 12.003 * [taylor]: Taking taylor expansion of x in x 12.003 * [backup-simplify]: Simplify 0 into 0 12.003 * [backup-simplify]: Simplify 1 into 1 12.004 * [backup-simplify]: Simplify (* 1 1) into 1 12.004 * [backup-simplify]: Simplify (* 0 0) into 0 12.005 * [backup-simplify]: Simplify (+ 1 0) into 1 12.005 * [backup-simplify]: Simplify (sqrt 1) into 1 12.006 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.006 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 12.007 * [backup-simplify]: Simplify (+ 0 0) into 0 12.008 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.008 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.008 * [backup-simplify]: Simplify 1/2 into 1/2 12.009 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 12.009 * [backup-simplify]: Simplify 0 into 0 12.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.011 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 12.011 * [backup-simplify]: Simplify (+ 0 1) into 1 12.012 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 12.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 12.014 * [backup-simplify]: Simplify -1/4 into -1/4 12.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.016 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 12.016 * [backup-simplify]: Simplify (+ 0 0) into 0 12.018 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 12.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 12.019 * [backup-simplify]: Simplify 0 into 0 12.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.022 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 12.022 * [backup-simplify]: Simplify (+ 0 0) into 0 12.023 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 12.025 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 12.025 * [backup-simplify]: Simplify 3/16 into 3/16 12.026 * [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))) 12.026 * [backup-simplify]: Simplify (/ (/ 1/2 (sqrt (hypot 1 (/ 1 x)))) (sqrt (hypot 1 (/ 1 x)))) into (/ 1/2 (hypot 1 (/ 1 x))) 12.026 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 12.026 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 12.026 * [taylor]: Taking taylor expansion of 1/2 in x 12.026 * [backup-simplify]: Simplify 1/2 into 1/2 12.026 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 12.026 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 12.026 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 12.026 * [taylor]: Taking taylor expansion of (* 1 1) in x 12.026 * [taylor]: Taking taylor expansion of 1 in x 12.026 * [backup-simplify]: Simplify 1 into 1 12.026 * [taylor]: Taking taylor expansion of 1 in x 12.026 * [backup-simplify]: Simplify 1 into 1 12.026 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 12.026 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.026 * [taylor]: Taking taylor expansion of x in x 12.026 * [backup-simplify]: Simplify 0 into 0 12.027 * [backup-simplify]: Simplify 1 into 1 12.027 * [backup-simplify]: Simplify (/ 1 1) into 1 12.027 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.027 * [taylor]: Taking taylor expansion of x in x 12.027 * [backup-simplify]: Simplify 0 into 0 12.027 * [backup-simplify]: Simplify 1 into 1 12.027 * [backup-simplify]: Simplify (/ 1 1) into 1 12.028 * [backup-simplify]: Simplify (* 1 1) into 1 12.028 * [backup-simplify]: Simplify (+ 0 1) into 1 12.029 * [backup-simplify]: Simplify (sqrt 1) into 1 12.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.031 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.031 * [backup-simplify]: Simplify (+ 0 0) into 0 12.032 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.032 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.032 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 12.033 * [taylor]: Taking taylor expansion of 1/2 in x 12.033 * [backup-simplify]: Simplify 1/2 into 1/2 12.033 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 12.033 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 12.033 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 12.033 * [taylor]: Taking taylor expansion of (* 1 1) in x 12.033 * [taylor]: Taking taylor expansion of 1 in x 12.033 * [backup-simplify]: Simplify 1 into 1 12.033 * [taylor]: Taking taylor expansion of 1 in x 12.033 * [backup-simplify]: Simplify 1 into 1 12.033 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 12.033 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.033 * [taylor]: Taking taylor expansion of x in x 12.033 * [backup-simplify]: Simplify 0 into 0 12.033 * [backup-simplify]: Simplify 1 into 1 12.033 * [backup-simplify]: Simplify (/ 1 1) into 1 12.033 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.033 * [taylor]: Taking taylor expansion of x in x 12.033 * [backup-simplify]: Simplify 0 into 0 12.033 * [backup-simplify]: Simplify 1 into 1 12.034 * [backup-simplify]: Simplify (/ 1 1) into 1 12.034 * [backup-simplify]: Simplify (* 1 1) into 1 12.035 * [backup-simplify]: Simplify (+ 0 1) into 1 12.035 * [backup-simplify]: Simplify (sqrt 1) into 1 12.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.037 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.038 * [backup-simplify]: Simplify (+ 0 0) into 0 12.038 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.038 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.038 * [backup-simplify]: Simplify 1/2 into 1/2 12.039 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 12.039 * [backup-simplify]: Simplify 0 into 0 12.039 * [backup-simplify]: Simplify (* 1 1) into 1 12.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.041 * [backup-simplify]: Simplify (+ 1 0) into 1 12.042 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 12.042 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 12.042 * [backup-simplify]: Simplify -1/4 into -1/4 12.043 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.045 * [backup-simplify]: Simplify (+ 0 0) into 0 12.046 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 12.046 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 12.046 * [backup-simplify]: Simplify 0 into 0 12.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.049 * [backup-simplify]: Simplify (+ 0 0) into 0 12.050 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 12.051 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 12.051 * [backup-simplify]: Simplify 3/16 into 3/16 12.051 * [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)))) 12.051 * [backup-simplify]: Simplify (/ (/ 1/2 (sqrt (hypot 1 (/ 1 (- x))))) (sqrt (hypot 1 (/ 1 (- x))))) into (/ 1/2 (hypot 1 (/ -1 x))) 12.051 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 12.051 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 12.051 * [taylor]: Taking taylor expansion of 1/2 in x 12.051 * [backup-simplify]: Simplify 1/2 into 1/2 12.051 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 12.051 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 12.051 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 12.051 * [taylor]: Taking taylor expansion of (* 1 1) in x 12.052 * [taylor]: Taking taylor expansion of 1 in x 12.052 * [backup-simplify]: Simplify 1 into 1 12.052 * [taylor]: Taking taylor expansion of 1 in x 12.052 * [backup-simplify]: Simplify 1 into 1 12.052 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 12.052 * [taylor]: Taking taylor expansion of (/ -1 x) in x 12.052 * [taylor]: Taking taylor expansion of -1 in x 12.052 * [backup-simplify]: Simplify -1 into -1 12.052 * [taylor]: Taking taylor expansion of x in x 12.052 * [backup-simplify]: Simplify 0 into 0 12.052 * [backup-simplify]: Simplify 1 into 1 12.052 * [backup-simplify]: Simplify (/ -1 1) into -1 12.052 * [taylor]: Taking taylor expansion of (/ -1 x) in x 12.052 * [taylor]: Taking taylor expansion of -1 in x 12.052 * [backup-simplify]: Simplify -1 into -1 12.052 * [taylor]: Taking taylor expansion of x in x 12.052 * [backup-simplify]: Simplify 0 into 0 12.052 * [backup-simplify]: Simplify 1 into 1 12.052 * [backup-simplify]: Simplify (/ -1 1) into -1 12.053 * [backup-simplify]: Simplify (* -1 -1) into 1 12.053 * [backup-simplify]: Simplify (+ 0 1) into 1 12.053 * [backup-simplify]: Simplify (sqrt 1) into 1 12.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.055 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 12.055 * [backup-simplify]: Simplify (+ 0 0) into 0 12.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.056 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.056 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 12.056 * [taylor]: Taking taylor expansion of 1/2 in x 12.056 * [backup-simplify]: Simplify 1/2 into 1/2 12.056 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 12.056 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 12.056 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 12.056 * [taylor]: Taking taylor expansion of (* 1 1) in x 12.056 * [taylor]: Taking taylor expansion of 1 in x 12.056 * [backup-simplify]: Simplify 1 into 1 12.056 * [taylor]: Taking taylor expansion of 1 in x 12.056 * [backup-simplify]: Simplify 1 into 1 12.056 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 12.056 * [taylor]: Taking taylor expansion of (/ -1 x) in x 12.056 * [taylor]: Taking taylor expansion of -1 in x 12.056 * [backup-simplify]: Simplify -1 into -1 12.056 * [taylor]: Taking taylor expansion of x in x 12.056 * [backup-simplify]: Simplify 0 into 0 12.056 * [backup-simplify]: Simplify 1 into 1 12.056 * [backup-simplify]: Simplify (/ -1 1) into -1 12.056 * [taylor]: Taking taylor expansion of (/ -1 x) in x 12.056 * [taylor]: Taking taylor expansion of -1 in x 12.056 * [backup-simplify]: Simplify -1 into -1 12.056 * [taylor]: Taking taylor expansion of x in x 12.056 * [backup-simplify]: Simplify 0 into 0 12.056 * [backup-simplify]: Simplify 1 into 1 12.057 * [backup-simplify]: Simplify (/ -1 1) into -1 12.057 * [backup-simplify]: Simplify (* -1 -1) into 1 12.057 * [backup-simplify]: Simplify (+ 0 1) into 1 12.058 * [backup-simplify]: Simplify (sqrt 1) into 1 12.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.059 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 12.059 * [backup-simplify]: Simplify (+ 0 0) into 0 12.060 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.060 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.060 * [backup-simplify]: Simplify 1/2 into 1/2 12.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 12.061 * [backup-simplify]: Simplify 0 into 0 12.061 * [backup-simplify]: Simplify (* 1 1) into 1 12.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.062 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.063 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 12.063 * [backup-simplify]: Simplify (+ 1 0) into 1 12.063 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 12.064 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 12.064 * [backup-simplify]: Simplify -1/4 into -1/4 12.065 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.067 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 12.067 * [backup-simplify]: Simplify (+ 0 0) into 0 12.069 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 12.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 12.071 * [backup-simplify]: Simplify 0 into 0 12.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.075 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 12.075 * [backup-simplify]: Simplify (+ 0 0) into 0 12.077 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 12.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 12.079 * [backup-simplify]: Simplify 3/16 into 3/16 12.079 * [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)))) 12.079 * * * [progress]: simplifying candidates 12.080 * * * * [progress]: [ 1 / 813 ] simplifiying candidate # 12.080 * * * * [progress]: [ 2 / 813 ] simplifiying candidate # 12.080 * * * * [progress]: [ 3 / 813 ] simplifiying candidate # 12.080 * * * * [progress]: [ 4 / 813 ] simplifiying candidate # 12.080 * * * * [progress]: [ 5 / 813 ] simplifiying candidate # 12.080 * * * * [progress]: [ 6 / 813 ] simplifiying candidate # 12.081 * * * * [progress]: [ 7 / 813 ] simplifiying candidate # 12.081 * * * * [progress]: [ 8 / 813 ] simplifiying candidate # 12.081 * * * * [progress]: [ 9 / 813 ] simplifiying candidate # 12.081 * * * * [progress]: [ 10 / 813 ] simplifiying candidate # 12.081 * * * * [progress]: [ 11 / 813 ] simplifiying candidate #real (real->posit16 (fma (/ -1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))> 12.081 * * * * [progress]: [ 12 / 813 ] simplifiying candidate # 12.081 * * * * [progress]: [ 13 / 813 ] simplifiying candidate # 12.081 * * * * [progress]: [ 14 / 813 ] simplifiying candidate # 12.081 * * * * [progress]: [ 15 / 813 ] simplifiying candidate # 12.081 * * * * [progress]: [ 16 / 813 ] simplifiying candidate # 12.082 * * * * [progress]: [ 17 / 813 ] simplifiying candidate # 12.082 * * * * [progress]: [ 18 / 813 ] simplifiying candidate # 12.082 * * * * [progress]: [ 19 / 813 ] simplifiying candidate # 12.082 * * * * [progress]: [ 20 / 813 ] simplifiying candidate # 12.082 * * * * [progress]: [ 21 / 813 ] simplifiying candidate # 12.082 * * * * [progress]: [ 22 / 813 ] simplifiying candidate # 12.082 * * * * [progress]: [ 23 / 813 ] simplifiying candidate # 12.082 * * * * [progress]: [ 24 / 813 ] simplifiying candidate # 12.083 * * * * [progress]: [ 25 / 813 ] simplifiying candidate # 12.083 * * * * [progress]: [ 26 / 813 ] simplifiying candidate # 12.083 * * * * [progress]: [ 27 / 813 ] simplifiying candidate # 12.083 * * * * [progress]: [ 28 / 813 ] simplifiying candidate # 12.083 * * * * [progress]: [ 29 / 813 ] simplifiying candidate # 12.083 * * * * [progress]: [ 30 / 813 ] simplifiying candidate # 12.083 * * * * [progress]: [ 31 / 813 ] simplifiying candidate # 12.083 * * * * [progress]: [ 32 / 813 ] simplifiying candidate # 12.084 * * * * [progress]: [ 33 / 813 ] simplifiying candidate # 12.084 * * * * [progress]: [ 34 / 813 ] simplifiying candidate # 12.084 * * * * [progress]: [ 35 / 813 ] simplifiying candidate # 12.084 * * * * [progress]: [ 36 / 813 ] simplifiying candidate # 12.084 * * * * [progress]: [ 37 / 813 ] simplifiying candidate # 12.084 * * * * [progress]: [ 38 / 813 ] simplifiying candidate # 12.084 * * * * [progress]: [ 39 / 813 ] simplifiying candidate # 12.084 * * * * [progress]: [ 40 / 813 ] simplifiying candidate # 12.085 * * * * [progress]: [ 41 / 813 ] simplifiying candidate # 12.085 * * * * [progress]: [ 42 / 813 ] simplifiying candidate # 12.085 * * * * [progress]: [ 43 / 813 ] simplifiying candidate # 12.085 * * * * [progress]: [ 44 / 813 ] simplifiying candidate # 12.085 * * * * [progress]: [ 45 / 813 ] simplifiying candidate # 12.085 * * * * [progress]: [ 46 / 813 ] simplifiying candidate # 12.085 * * * * 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simplifiying candidate # 12.159 * * * * [progress]: [ 734 / 813 ] simplifiying candidate # 12.159 * * * * [progress]: [ 735 / 813 ] simplifiying candidate # 12.159 * * * * [progress]: [ 736 / 813 ] simplifiying candidate # 12.159 * * * * [progress]: [ 737 / 813 ] simplifiying candidate # 12.160 * * * * [progress]: [ 738 / 813 ] simplifiying candidate # 12.160 * * * * [progress]: [ 739 / 813 ] simplifiying candidate # 12.160 * * * * [progress]: [ 740 / 813 ] simplifiying candidate # 12.160 * * * * [progress]: [ 741 / 813 ] simplifiying candidate # 12.160 * * * * [progress]: [ 742 / 813 ] simplifiying candidate # 12.160 * * * * [progress]: [ 743 / 813 ] simplifiying candidate # 12.160 * * * * [progress]: [ 744 / 813 ] simplifiying candidate # 12.160 * * * * [progress]: [ 745 / 813 ] simplifiying candidate # 12.160 * * * * [progress]: [ 746 / 813 ] simplifiying candidate # 12.160 * * * * [progress]: [ 747 / 813 ] simplifiying candidate # 12.160 * * * * [progress]: [ 748 / 813 ] simplifiying candidate # 12.161 * * * * [progress]: [ 749 / 813 ] simplifiying candidate # 12.161 * * * * [progress]: [ 750 / 813 ] simplifiying candidate # 12.161 * * * * [progress]: [ 751 / 813 ] simplifiying candidate # 12.161 * * * * [progress]: [ 752 / 813 ] simplifiying candidate # 12.161 * * * * [progress]: [ 753 / 813 ] simplifiying candidate # 12.161 * * * * [progress]: [ 754 / 813 ] simplifiying candidate # 12.161 * * * * [progress]: [ 755 / 813 ] simplifiying candidate # 12.161 * * * * [progress]: [ 756 / 813 ] simplifiying candidate # 12.161 * * * * [progress]: [ 757 / 813 ] simplifiying candidate # 12.161 * * * * [progress]: [ 758 / 813 ] simplifiying candidate # 12.161 * * * * [progress]: [ 759 / 813 ] simplifiying candidate # 12.162 * * * * [progress]: [ 760 / 813 ] simplifiying candidate # 12.162 * * * * [progress]: [ 761 / 813 ] simplifiying candidate # 12.162 * * * * [progress]: [ 762 / 813 ] simplifiying candidate # 12.162 * * * * [progress]: [ 763 / 813 ] simplifiying candidate # 12.162 * * * * [progress]: [ 764 / 813 ] simplifiying candidate # 12.162 * * * * [progress]: [ 765 / 813 ] simplifiying candidate # 12.162 * * * * [progress]: [ 766 / 813 ] simplifiying candidate # 12.162 * * * * [progress]: [ 767 / 813 ] simplifiying candidate # 12.162 * * * * [progress]: [ 768 / 813 ] simplifiying candidate # 12.162 * * * * [progress]: [ 769 / 813 ] simplifiying candidate # 12.162 * * * * [progress]: [ 770 / 813 ] simplifiying candidate # 12.162 * * * * [progress]: [ 771 / 813 ] simplifiying candidate # 12.163 * * * * [progress]: [ 772 / 813 ] simplifiying candidate # 12.163 * * * * [progress]: [ 773 / 813 ] simplifiying candidate # 12.163 * * * * [progress]: [ 774 / 813 ] simplifiying candidate # 12.163 * * * * [progress]: [ 775 / 813 ] simplifiying candidate # 12.163 * * * * [progress]: [ 776 / 813 ] simplifiying candidate # 12.163 * * * * [progress]: [ 777 / 813 ] simplifiying candidate # 12.163 * * * * [progress]: [ 778 / 813 ] simplifiying candidate # 12.163 * * * * [progress]: [ 779 / 813 ] simplifiying candidate # 12.163 * * * * [progress]: [ 780 / 813 ] simplifiying candidate # 12.163 * * * * [progress]: [ 781 / 813 ] simplifiying candidate # 12.164 * * * * [progress]: [ 782 / 813 ] simplifiying candidate # 12.164 * * * * [progress]: [ 783 / 813 ] simplifiying candidate # 12.164 * * * * [progress]: [ 784 / 813 ] simplifiying candidate # 12.164 * * * * [progress]: [ 785 / 813 ] simplifiying candidate # 12.164 * * * * [progress]: [ 786 / 813 ] simplifiying candidate # 12.164 * * * * [progress]: [ 787 / 813 ] simplifiying candidate # 12.164 * * * * [progress]: [ 788 / 813 ] simplifiying candidate # 12.164 * * * * [progress]: [ 789 / 813 ] simplifiying candidate # 12.164 * * * * [progress]: [ 790 / 813 ] simplifiying candidate # 12.164 * * * * [progress]: [ 791 / 813 ] simplifiying candidate # 12.165 * * * * [progress]: [ 792 / 813 ] simplifiying candidate # 12.165 * * * * [progress]: [ 793 / 813 ] simplifiying candidate # 12.165 * * * * [progress]: [ 794 / 813 ] simplifiying candidate # 12.165 * * * * [progress]: [ 795 / 813 ] simplifiying candidate # 12.165 * * * * [progress]: [ 796 / 813 ] simplifiying candidate # 12.165 * * * * [progress]: [ 797 / 813 ] simplifiying candidate # 12.165 * * * * [progress]: [ 798 / 813 ] simplifiying candidate # 12.165 * * * * [progress]: [ 799 / 813 ] simplifiying candidate # 12.165 * * * * [progress]: [ 800 / 813 ] simplifiying candidate # 12.165 * * * * [progress]: [ 801 / 813 ] simplifiying candidate #real (real->posit16 (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))))) (fma (/ -1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))> 12.165 * * * * [progress]: [ 802 / 813 ] simplifiying candidate # 12.166 * * * * [progress]: [ 803 / 813 ] simplifiying candidate # 12.166 * * * * [progress]: [ 804 / 813 ] simplifiying candidate # 12.166 * * * * [progress]: [ 805 / 813 ] simplifiying candidate # 12.166 * * * * [progress]: [ 806 / 813 ] simplifiying candidate # 12.166 * * * * [progress]: [ 807 / 813 ] simplifiying candidate # 12.166 * * * * [progress]: [ 808 / 813 ] simplifiying candidate # 12.166 * * * * [progress]: [ 809 / 813 ] simplifiying candidate # 12.166 * * * * [progress]: [ 810 / 813 ] simplifiying candidate # 12.166 * * * * [progress]: [ 811 / 813 ] simplifiying candidate # 12.166 * * * * [progress]: [ 812 / 813 ] simplifiying candidate # 12.166 * * * * [progress]: [ 813 / 813 ] simplifiying candidate # 12.201 * [simplify]: Simplifying: (expm1 (fma (/ -1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))))) (log1p (fma (/ -1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))))) (* (/ -1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x)))) (log (fma (/ -1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))))) (exp (fma (/ -1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))))) (* (cbrt (fma (/ -1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))))) (cbrt (fma (/ -1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))))) (cbrt (fma (/ -1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))))) (* (* (fma (/ -1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (fma (/ -1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))))) (fma (/ -1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))))) (sqrt (fma (/ -1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))))) (sqrt (fma (/ -1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))))) (real->posit16 (fma (/ -1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (cbrt (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (* (cbrt (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (cbrt (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))))))) (fma (- (cbrt (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))))) (* (cbrt (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (cbrt (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))))) (* (cbrt (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (* (cbrt (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (cbrt (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))))))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (sqrt (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))))))) (fma (- (sqrt (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 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(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)))) (- (+ (* 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)))) 12.283 * * [simplify]: iteration 1: (981 enodes) 13.976 * * [simplify]: Extracting #0: cost 428 inf + 0 13.979 * * [simplify]: Extracting #1: cost 793 inf + 44 13.983 * * [simplify]: Extracting #2: cost 1006 inf + 700 13.988 * * [simplify]: Extracting #3: cost 930 inf + 15476 14.004 * * [simplify]: Extracting #4: cost 552 inf + 124479 14.093 * * [simplify]: Extracting #5: cost 156 inf + 296449 14.169 * * [simplify]: Extracting #6: cost 15 inf + 373663 14.284 * * [simplify]: Extracting #7: cost 0 inf + 382239 14.399 * * [simplify]: Extracting #8: cost 0 inf + 382184 14.539 * [simplify]: Simplified to: (expm1 (fma (/ 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(hypot 1 x))) (/ (/ 1 (fabs (cbrt (hypot 1 x)))) (sqrt (sqrt (hypot 1 x)))) (/ 1/2 (* (sqrt (sqrt (hypot 1 x))) (sqrt (cbrt (hypot 1 x))))) (/ 1 (fabs (cbrt (hypot 1 x)))) (/ (/ 1/2 (sqrt (cbrt (hypot 1 x)))) (sqrt (hypot 1 x))) (/ (/ 1 (sqrt (sqrt (hypot 1 x)))) (* (cbrt (sqrt (hypot 1 x))) (cbrt (sqrt (hypot 1 x))))) (/ 1/2 (* (cbrt (sqrt (hypot 1 x))) (sqrt (sqrt (hypot 1 x))))) (/ (/ 1 (sqrt (sqrt (hypot 1 x)))) (fabs (cbrt (hypot 1 x)))) (/ (/ 1/2 (sqrt (sqrt (hypot 1 x)))) (sqrt (cbrt (hypot 1 x)))) (/ (/ 1 (sqrt (sqrt (hypot 1 x)))) (sqrt (sqrt (hypot 1 x)))) (/ 1/2 (* (sqrt (sqrt (hypot 1 x))) (sqrt (sqrt (hypot 1 x))))) (/ 1 (sqrt (sqrt (hypot 1 x)))) (/ 1/2 (* (sqrt (hypot 1 x)) (sqrt (sqrt (hypot 1 x))))) (/ (/ 1 (sqrt (sqrt (hypot 1 x)))) (sqrt (sqrt (hypot 1 x)))) (/ 1/2 (* (sqrt (sqrt (hypot 1 x))) (sqrt (sqrt (hypot 1 x))))) (/ 1 (sqrt (sqrt (hypot 1 x)))) (/ 1/2 (* (sqrt (hypot 1 x)) (sqrt (sqrt (hypot 1 x))))) (/ 1 (* (cbrt (sqrt (hypot 1 x))) (cbrt (sqrt (hypot 1 x))))) (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (sqrt (hypot 1 x)))) (/ 1 (fabs (cbrt (hypot 1 x)))) (/ 1/2 (* (sqrt (cbrt (hypot 1 x))) (sqrt (hypot 1 x)))) (/ 1 (sqrt (sqrt (hypot 1 x)))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (sqrt (hypot 1 x)))) 1 (/ 1/2 (hypot 1 x)) (/ 1 (sqrt (sqrt (hypot 1 x)))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (sqrt (hypot 1 x)))) 1 (/ 1/2 (hypot 1 x)) (/ (/ 1 (sqrt (sqrt (hypot 1 x)))) (* (cbrt (sqrt (hypot 1 x))) (cbrt (sqrt (hypot 1 x))))) (/ 1/2 (* (cbrt (sqrt (hypot 1 x))) (sqrt (sqrt (hypot 1 x))))) (/ (/ 1 (sqrt (sqrt (hypot 1 x)))) (fabs (cbrt (hypot 1 x)))) (/ (/ 1/2 (sqrt (sqrt (hypot 1 x)))) (sqrt (cbrt (hypot 1 x)))) (/ (/ 1 (sqrt (sqrt (hypot 1 x)))) (sqrt (sqrt (hypot 1 x)))) (/ 1/2 (* (sqrt (sqrt (hypot 1 x))) (sqrt (sqrt (hypot 1 x))))) (/ 1 (sqrt (sqrt (hypot 1 x)))) (/ 1/2 (* (sqrt (hypot 1 x)) (sqrt (sqrt (hypot 1 x))))) (/ (/ 1 (sqrt (sqrt (hypot 1 x)))) (sqrt (sqrt (hypot 1 x)))) (/ 1/2 (* (sqrt (sqrt (hypot 1 x))) (sqrt (sqrt (hypot 1 x))))) (/ 1 (sqrt (sqrt (hypot 1 x)))) (/ 1/2 (* (sqrt (hypot 1 x)) (sqrt (sqrt (hypot 1 x))))) (/ 1 (* (cbrt (sqrt (hypot 1 x))) (cbrt (sqrt (hypot 1 x))))) (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (sqrt (hypot 1 x)))) (/ 1 (fabs (cbrt (hypot 1 x)))) (/ 1/2 (* (sqrt (cbrt (hypot 1 x))) (sqrt (hypot 1 x)))) (/ 1 (sqrt (sqrt (hypot 1 x)))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (sqrt (hypot 1 x)))) 1 (/ 1/2 (hypot 1 x)) (/ 1 (sqrt (sqrt (hypot 1 x)))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (sqrt (hypot 1 x)))) 1 (/ 1/2 (hypot 1 x)) (/ 1 (* (cbrt (sqrt (hypot 1 x))) (cbrt (sqrt (hypot 1 x))))) (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (sqrt (hypot 1 x)))) (/ 1 (fabs (cbrt (hypot 1 x)))) (/ 1/2 (* (sqrt (cbrt (hypot 1 x))) (sqrt (hypot 1 x)))) (/ 1 (sqrt (sqrt (hypot 1 x)))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (sqrt (hypot 1 x)))) 1 (/ 1/2 (hypot 1 x)) (/ 1 (sqrt (sqrt (hypot 1 x)))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (sqrt (hypot 1 x)))) 1 (/ 1/2 (hypot 1 x)) (/ 1/2 (* (cbrt (sqrt (hypot 1 x))) (cbrt (sqrt (hypot 1 x))))) (/ (/ 1 (sqrt (hypot 1 x))) (cbrt (sqrt (hypot 1 x)))) (/ 1/2 (fabs (cbrt (hypot 1 x)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (cbrt (hypot 1 x)))) (/ 1/2 (sqrt (sqrt (hypot 1 x)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (sqrt (hypot 1 x)))) 1/2 (/ 1 (hypot 1 x)) (/ 1/2 (sqrt (sqrt (hypot 1 x)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (sqrt (hypot 1 x)))) 1/2 (/ 1 (hypot 1 x)) (/ 1 (sqrt (hypot 1 x))) (/ (sqrt (hypot 1 x)) (/ 1/2 (sqrt (hypot 1 x)))) (/ (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (sqrt (hypot 1 x)))) (cbrt (sqrt (hypot 1 x)))) (/ (/ 1/2 (sqrt (hypot 1 x))) (fabs (cbrt (hypot 1 x)))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (sqrt (hypot 1 x)))) (/ 1/2 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (sqrt (hypot 1 x)))) (/ 1/2 (sqrt (hypot 1 x))) (/ (sqrt (hypot 1 x)) (cbrt (/ 1/2 (sqrt (hypot 1 x))))) (/ (sqrt (hypot 1 x)) (sqrt (/ 1/2 (sqrt (hypot 1 x))))) (/ (sqrt (hypot 1 x)) (/ (cbrt 1/2) (cbrt (sqrt (hypot 1 x))))) (/ (sqrt (hypot 1 x)) (/ (cbrt 1/2) (sqrt (cbrt (hypot 1 x))))) (/ (sqrt (hypot 1 x)) (/ (cbrt 1/2) (sqrt (sqrt (hypot 1 x))))) (/ (sqrt (hypot 1 x)) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (/ (sqrt (hypot 1 x)) (/ (cbrt 1/2) (sqrt (sqrt (hypot 1 x))))) (/ (sqrt (hypot 1 x)) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (/ (sqrt (hypot 1 x)) (/ (sqrt 1/2) (cbrt (sqrt (hypot 1 x))))) (* (/ (sqrt (hypot 1 x)) (sqrt 1/2)) (sqrt (cbrt (hypot 1 x)))) (/ (sqrt (hypot 1 x)) (/ (sqrt 1/2) (sqrt (sqrt (hypot 1 x))))) (* (/ (sqrt (hypot 1 x)) (sqrt 1/2)) (sqrt (hypot 1 x))) (/ (sqrt (hypot 1 x)) (/ (sqrt 1/2) (sqrt (sqrt (hypot 1 x))))) (* (/ (sqrt (hypot 1 x)) (sqrt 1/2)) (sqrt (hypot 1 x))) (* (/ (sqrt (hypot 1 x)) 1/2) (cbrt (sqrt (hypot 1 x)))) (* (/ (sqrt (hypot 1 x)) 1/2) (sqrt (cbrt (hypot 1 x)))) (/ (sqrt (hypot 1 x)) (/ 1/2 (sqrt (sqrt (hypot 1 x))))) (/ (sqrt (hypot 1 x)) (/ 1/2 (sqrt (hypot 1 x)))) (/ (sqrt (hypot 1 x)) (/ 1/2 (sqrt (sqrt (hypot 1 x))))) (/ (sqrt (hypot 1 x)) (/ 1/2 (sqrt (hypot 1 x)))) (/ (sqrt (hypot 1 x)) (/ 1/2 (sqrt (hypot 1 x)))) (/ (sqrt (hypot 1 x)) (/ 1 (sqrt (hypot 1 x)))) (hypot 1 x) (real->posit16 (/ 1/2 (hypot 1 x))) 0 (- (/ 1/2 x) (- (/ (* +nan.0 1) (* (* x x) x)) (* +nan.0 (/ 1 (* x x))))) (- (fma +nan.0 (/ 1 (* (* x x) x)) (- (/ 1/2 x) (* +nan.0 (/ 1 (* x x)))))) (- (fma 1/4 (* x x) (* 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 x) 1/2) (/ 1/4 (* (* x x) x))) (- (fma 3/16 (* (* x x) (* x x)) 1/2) (* (* x x) 1/4)) (+ (/ 3/16 (pow x 5)) (- (/ 1/2 x) (/ 1/4 (* (* x x) x)))) (- (- (/ 1/4 (* (* x x) x)) (/ 3/16 (pow x 5))) (/ 1/2 x)) (- (fma 3/16 (* (* x x) (* x x)) 1/2) (* (* x x) 1/4)) (+ (/ 3/16 (pow x 5)) (- (/ 1/2 x) (/ 1/4 (* (* x x) x)))) (- (- (/ 1/4 (* (* x x) x)) (/ 3/16 (pow x 5))) (/ 1/2 x)) 14.938 * * * [progress]: adding candidates to table 28.386 * * [progress]: iteration 4 / 4 28.386 * * * [progress]: picking best candidate 28.396 * * * * [pick]: Picked # 28.396 * * * [progress]: localizing error 28.433 * * * [progress]: generating rewritten candidates 28.433 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 28.441 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 28.454 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 28.482 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 28.500 * * * [progress]: generating series expansions 28.501 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 28.502 * [backup-simplify]: Simplify (- (* 1/2 1/2) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) into (- 1/4 (* 1/4 (/ 1 (pow (hypot 1 x) 2)))) 28.502 * [approximate]: Taking taylor expansion of (- 1/4 (* 1/4 (/ 1 (pow (hypot 1 x) 2)))) in (x) around 0 28.502 * [taylor]: Taking taylor expansion of (- 1/4 (* 1/4 (/ 1 (pow (hypot 1 x) 2)))) in x 28.502 * [taylor]: Taking taylor expansion of 1/4 in x 28.502 * [backup-simplify]: Simplify 1/4 into 1/4 28.502 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow (hypot 1 x) 2))) in x 28.502 * [taylor]: Taking taylor expansion of 1/4 in x 28.502 * [backup-simplify]: Simplify 1/4 into 1/4 28.502 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 x) 2)) in x 28.502 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 2) in x 28.502 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 28.502 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 28.502 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 28.502 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.502 * [taylor]: Taking taylor expansion of 1 in x 28.502 * [backup-simplify]: Simplify 1 into 1 28.502 * [taylor]: Taking taylor expansion of 1 in x 28.502 * [backup-simplify]: Simplify 1 into 1 28.502 * [taylor]: Taking taylor expansion of (* x x) in x 28.502 * [taylor]: Taking taylor expansion of x in x 28.502 * [backup-simplify]: Simplify 0 into 0 28.502 * [backup-simplify]: Simplify 1 into 1 28.502 * [taylor]: Taking taylor expansion of x in x 28.502 * [backup-simplify]: Simplify 0 into 0 28.502 * [backup-simplify]: Simplify 1 into 1 28.503 * [backup-simplify]: Simplify (* 1 1) into 1 28.503 * [backup-simplify]: Simplify (* 0 0) into 0 28.503 * [backup-simplify]: Simplify (+ 1 0) into 1 28.504 * [backup-simplify]: Simplify (sqrt 1) into 1 28.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.505 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 28.505 * [backup-simplify]: Simplify (+ 0 0) into 0 28.506 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.506 * [backup-simplify]: Simplify (* 1 1) into 1 28.507 * [backup-simplify]: Simplify (/ 1 1) into 1 28.507 * [taylor]: Taking taylor expansion of (- 1/4 (* 1/4 (/ 1 (pow (hypot 1 x) 2)))) in x 28.507 * [taylor]: Taking taylor expansion of 1/4 in x 28.507 * [backup-simplify]: Simplify 1/4 into 1/4 28.507 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow (hypot 1 x) 2))) in x 28.507 * [taylor]: Taking taylor expansion of 1/4 in x 28.507 * [backup-simplify]: Simplify 1/4 into 1/4 28.507 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 x) 2)) in x 28.507 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 2) in x 28.507 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 28.507 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 28.507 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 28.507 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.507 * [taylor]: Taking taylor expansion of 1 in x 28.507 * [backup-simplify]: Simplify 1 into 1 28.507 * [taylor]: Taking taylor expansion of 1 in x 28.507 * [backup-simplify]: Simplify 1 into 1 28.507 * [taylor]: Taking taylor expansion of (* x x) in x 28.507 * [taylor]: Taking taylor expansion of x in x 28.507 * [backup-simplify]: Simplify 0 into 0 28.507 * [backup-simplify]: Simplify 1 into 1 28.507 * [taylor]: Taking taylor expansion of x in x 28.507 * [backup-simplify]: Simplify 0 into 0 28.507 * [backup-simplify]: Simplify 1 into 1 28.508 * [backup-simplify]: Simplify (* 1 1) into 1 28.508 * [backup-simplify]: Simplify (* 0 0) into 0 28.509 * [backup-simplify]: Simplify (+ 1 0) into 1 28.509 * [backup-simplify]: Simplify (sqrt 1) into 1 28.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.510 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 28.510 * [backup-simplify]: Simplify (+ 0 0) into 0 28.511 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.511 * [backup-simplify]: Simplify (* 1 1) into 1 28.512 * [backup-simplify]: Simplify (/ 1 1) into 1 28.512 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 28.513 * [backup-simplify]: Simplify (- 1/4) into -1/4 28.513 * [backup-simplify]: Simplify (+ 1/4 -1/4) into 0 28.513 * [backup-simplify]: Simplify 0 into 0 28.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.516 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 28.516 * [backup-simplify]: Simplify (- 0) into 0 28.516 * [backup-simplify]: Simplify (+ 0 0) into 0 28.516 * [backup-simplify]: Simplify 0 into 0 28.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 28.518 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 28.519 * [backup-simplify]: Simplify (+ 0 1) into 1 28.520 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 28.520 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 28.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1 1)) (* 0 (/ 0 1)))) into -1 28.522 * [backup-simplify]: Simplify (+ (* 1/4 -1) (+ (* 0 0) (* 0 1))) into -1/4 28.522 * [backup-simplify]: Simplify (- -1/4) into 1/4 28.522 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 28.522 * [backup-simplify]: Simplify 1/4 into 1/4 28.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 28.524 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 28.524 * [backup-simplify]: Simplify (+ 0 0) into 0 28.525 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 28.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 28.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1 1)) (* -1 (/ 0 1)))) into 0 28.527 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1)))) into 0 28.527 * [backup-simplify]: Simplify (- 0) into 0 28.528 * [backup-simplify]: Simplify (+ 0 0) into 0 28.528 * [backup-simplify]: Simplify 0 into 0 28.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 28.529 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 28.529 * [backup-simplify]: Simplify (+ 0 0) into 0 28.530 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 28.531 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 28.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1 (/ 1 1)) (* 0 (/ 0 1)))) into 1 28.533 * [backup-simplify]: Simplify (+ (* 1/4 1) (+ (* 0 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1))))) into 1/4 28.533 * [backup-simplify]: Simplify (- 1/4) into -1/4 28.533 * [backup-simplify]: Simplify (+ 0 -1/4) into -1/4 28.533 * [backup-simplify]: Simplify -1/4 into -1/4 28.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 28.535 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 28.535 * [backup-simplify]: Simplify (+ 0 0) into 0 28.536 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 28.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* 1/2 0) (+ (* 0 1/2) (+ (* -1/8 0) (* 0 1)))))) into 0 28.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1 (/ 0 1)) (* 0 (/ 1 1)) (* 1 (/ 0 1)))) into 0 28.539 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 1) (+ (* 0 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1)))))) into 0 28.540 * [backup-simplify]: Simplify (- 0) into 0 28.540 * [backup-simplify]: Simplify (+ 0 0) into 0 28.540 * [backup-simplify]: Simplify 0 into 0 28.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 28.542 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 28.542 * [backup-simplify]: Simplify (+ 0 0) into 0 28.543 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 28.545 * [backup-simplify]: Simplify (+ (* 1 1/16) (+ (* 0 0) (+ (* 1/2 -1/8) (+ (* 0 0) (+ (* -1/8 1/2) (+ (* 0 0) (* 1/16 1))))))) into 0 28.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 1 (/ 1 1)) (* 0 (/ 0 1)))) into -1 28.547 * [backup-simplify]: Simplify (+ (* 1/4 -1) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1))))))) into -1/4 28.547 * [backup-simplify]: Simplify (- -1/4) into 1/4 28.548 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 28.548 * [backup-simplify]: Simplify 1/4 into 1/4 28.548 * [backup-simplify]: Simplify (+ (* 1/4 (pow x 6)) (+ (* -1/4 (pow x 4)) (* 1/4 (pow x 2)))) into (- (+ (* 1/4 (pow x 2)) (* 1/4 (pow x 6))) (* 1/4 (pow x 4))) 28.548 * [backup-simplify]: Simplify (- (* 1/2 1/2) (* (/ 1/2 (hypot 1 (/ 1 x))) (/ 1/2 (hypot 1 (/ 1 x))))) into (- 1/4 (* 1/4 (/ 1 (pow (hypot 1 (/ 1 x)) 2)))) 28.548 * [approximate]: Taking taylor expansion of (- 1/4 (* 1/4 (/ 1 (pow (hypot 1 (/ 1 x)) 2)))) in (x) around 0 28.548 * [taylor]: Taking taylor expansion of (- 1/4 (* 1/4 (/ 1 (pow (hypot 1 (/ 1 x)) 2)))) in x 28.548 * [taylor]: Taking taylor expansion of 1/4 in x 28.549 * [backup-simplify]: Simplify 1/4 into 1/4 28.549 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow (hypot 1 (/ 1 x)) 2))) in x 28.549 * [taylor]: Taking taylor expansion of 1/4 in x 28.549 * [backup-simplify]: Simplify 1/4 into 1/4 28.549 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ 1 x)) 2)) in x 28.549 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 2) in x 28.549 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 28.549 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 28.549 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 28.549 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.549 * [taylor]: Taking taylor expansion of 1 in x 28.549 * [backup-simplify]: Simplify 1 into 1 28.549 * [taylor]: Taking taylor expansion of 1 in x 28.549 * [backup-simplify]: Simplify 1 into 1 28.549 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 28.549 * [taylor]: Taking taylor expansion of (/ 1 x) in x 28.549 * [taylor]: Taking taylor expansion of x in x 28.549 * [backup-simplify]: Simplify 0 into 0 28.549 * [backup-simplify]: Simplify 1 into 1 28.549 * [backup-simplify]: Simplify (/ 1 1) into 1 28.549 * [taylor]: Taking taylor expansion of (/ 1 x) in x 28.549 * [taylor]: Taking taylor expansion of x in x 28.549 * [backup-simplify]: Simplify 0 into 0 28.549 * [backup-simplify]: Simplify 1 into 1 28.549 * [backup-simplify]: Simplify (/ 1 1) into 1 28.550 * [backup-simplify]: Simplify (* 1 1) into 1 28.550 * [backup-simplify]: Simplify (+ 0 1) into 1 28.550 * [backup-simplify]: Simplify (sqrt 1) into 1 28.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.552 * [backup-simplify]: Simplify (+ 0 0) into 0 28.552 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.552 * [backup-simplify]: Simplify (* 1 1) into 1 28.553 * [backup-simplify]: Simplify (/ 1 1) into 1 28.553 * [taylor]: Taking taylor expansion of (- 1/4 (* 1/4 (/ 1 (pow (hypot 1 (/ 1 x)) 2)))) in x 28.553 * [taylor]: Taking taylor expansion of 1/4 in x 28.553 * [backup-simplify]: Simplify 1/4 into 1/4 28.553 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow (hypot 1 (/ 1 x)) 2))) in x 28.553 * [taylor]: Taking taylor expansion of 1/4 in x 28.553 * [backup-simplify]: Simplify 1/4 into 1/4 28.553 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ 1 x)) 2)) in x 28.553 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 2) in x 28.553 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 28.553 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 28.553 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 28.553 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.553 * [taylor]: Taking taylor expansion of 1 in x 28.553 * [backup-simplify]: Simplify 1 into 1 28.553 * [taylor]: Taking taylor expansion of 1 in x 28.553 * [backup-simplify]: Simplify 1 into 1 28.553 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 28.553 * [taylor]: Taking taylor expansion of (/ 1 x) in x 28.553 * [taylor]: Taking taylor expansion of x in x 28.553 * [backup-simplify]: Simplify 0 into 0 28.553 * [backup-simplify]: Simplify 1 into 1 28.553 * [backup-simplify]: Simplify (/ 1 1) into 1 28.553 * [taylor]: Taking taylor expansion of (/ 1 x) in x 28.553 * [taylor]: Taking taylor expansion of x in x 28.553 * [backup-simplify]: Simplify 0 into 0 28.553 * [backup-simplify]: Simplify 1 into 1 28.554 * [backup-simplify]: Simplify (/ 1 1) into 1 28.554 * [backup-simplify]: Simplify (* 1 1) into 1 28.555 * [backup-simplify]: Simplify (+ 0 1) into 1 28.555 * [backup-simplify]: Simplify (sqrt 1) into 1 28.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.557 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.558 * [backup-simplify]: Simplify (+ 0 0) into 0 28.558 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.559 * [backup-simplify]: Simplify (* 1 1) into 1 28.559 * [backup-simplify]: Simplify (/ 1 1) into 1 28.560 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 28.560 * [backup-simplify]: Simplify 1/4 into 1/4 28.560 * [backup-simplify]: Simplify (+ 0 0) into 0 28.560 * [backup-simplify]: Simplify 0 into 0 28.561 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 28.561 * [backup-simplify]: Simplify (- 1/4) into -1/4 28.561 * [backup-simplify]: Simplify (+ 0 -1/4) into -1/4 28.561 * [backup-simplify]: Simplify -1/4 into -1/4 28.562 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.570 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 28.570 * [backup-simplify]: Simplify (- 0) into 0 28.571 * [backup-simplify]: Simplify (+ 0 0) into 0 28.571 * [backup-simplify]: Simplify 0 into 0 28.571 * [backup-simplify]: Simplify (* 1 1) into 1 28.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 28.575 * [backup-simplify]: Simplify (+ 1 0) into 1 28.576 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 28.577 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 28.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1 1)) (* 0 (/ 0 1)))) into -1 28.578 * [backup-simplify]: Simplify (+ (* 1/4 -1) (+ (* 0 0) (* 0 1))) into -1/4 28.579 * [backup-simplify]: Simplify (- -1/4) into 1/4 28.579 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 28.579 * [backup-simplify]: Simplify 1/4 into 1/4 28.579 * [backup-simplify]: Simplify (+ (* 1/4 (pow (/ 1 x) 4)) (+ (* -1/4 (pow (/ 1 x) 2)) 1/4)) into (- (+ (* 1/4 (/ 1 (pow x 4))) 1/4) (* 1/4 (/ 1 (pow x 2)))) 28.580 * [backup-simplify]: Simplify (- (* 1/2 1/2) (* (/ 1/2 (hypot 1 (/ 1 (- x)))) (/ 1/2 (hypot 1 (/ 1 (- x)))))) into (- 1/4 (* 1/4 (/ 1 (pow (hypot 1 (/ -1 x)) 2)))) 28.580 * [approximate]: Taking taylor expansion of (- 1/4 (* 1/4 (/ 1 (pow (hypot 1 (/ -1 x)) 2)))) in (x) around 0 28.580 * [taylor]: Taking taylor expansion of (- 1/4 (* 1/4 (/ 1 (pow (hypot 1 (/ -1 x)) 2)))) in x 28.580 * [taylor]: Taking taylor expansion of 1/4 in x 28.580 * [backup-simplify]: Simplify 1/4 into 1/4 28.580 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow (hypot 1 (/ -1 x)) 2))) in x 28.580 * [taylor]: Taking taylor expansion of 1/4 in x 28.580 * [backup-simplify]: Simplify 1/4 into 1/4 28.580 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ -1 x)) 2)) in x 28.580 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 2) in x 28.580 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 28.580 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 28.580 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 28.580 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.580 * [taylor]: Taking taylor expansion of 1 in x 28.580 * [backup-simplify]: Simplify 1 into 1 28.580 * [taylor]: Taking taylor expansion of 1 in x 28.580 * [backup-simplify]: Simplify 1 into 1 28.580 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 28.580 * [taylor]: Taking taylor expansion of (/ -1 x) in x 28.580 * [taylor]: Taking taylor expansion of -1 in x 28.580 * [backup-simplify]: Simplify -1 into -1 28.580 * [taylor]: Taking taylor expansion of x in x 28.580 * [backup-simplify]: Simplify 0 into 0 28.580 * [backup-simplify]: Simplify 1 into 1 28.580 * [backup-simplify]: Simplify (/ -1 1) into -1 28.580 * [taylor]: Taking taylor expansion of (/ -1 x) in x 28.580 * [taylor]: Taking taylor expansion of -1 in x 28.580 * [backup-simplify]: Simplify -1 into -1 28.580 * [taylor]: Taking taylor expansion of x in x 28.580 * [backup-simplify]: Simplify 0 into 0 28.580 * [backup-simplify]: Simplify 1 into 1 28.581 * [backup-simplify]: Simplify (/ -1 1) into -1 28.581 * [backup-simplify]: Simplify (* -1 -1) into 1 28.581 * [backup-simplify]: Simplify (+ 0 1) into 1 28.582 * [backup-simplify]: Simplify (sqrt 1) into 1 28.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 28.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 28.583 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 28.584 * [backup-simplify]: Simplify (+ 0 0) into 0 28.584 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.584 * [backup-simplify]: Simplify (* 1 1) into 1 28.585 * [backup-simplify]: Simplify (/ 1 1) into 1 28.585 * [taylor]: Taking taylor expansion of (- 1/4 (* 1/4 (/ 1 (pow (hypot 1 (/ -1 x)) 2)))) in x 28.585 * [taylor]: Taking taylor expansion of 1/4 in x 28.585 * [backup-simplify]: Simplify 1/4 into 1/4 28.585 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow (hypot 1 (/ -1 x)) 2))) in x 28.585 * [taylor]: Taking taylor expansion of 1/4 in x 28.585 * [backup-simplify]: Simplify 1/4 into 1/4 28.585 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ -1 x)) 2)) in x 28.585 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 2) in x 28.585 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 28.585 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 28.585 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 28.585 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.585 * [taylor]: Taking taylor expansion of 1 in x 28.585 * [backup-simplify]: Simplify 1 into 1 28.585 * [taylor]: Taking taylor expansion of 1 in x 28.585 * [backup-simplify]: Simplify 1 into 1 28.585 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 28.585 * [taylor]: Taking taylor expansion of (/ -1 x) in x 28.585 * [taylor]: Taking taylor expansion of -1 in x 28.585 * [backup-simplify]: Simplify -1 into -1 28.585 * [taylor]: Taking taylor expansion of x in x 28.585 * [backup-simplify]: Simplify 0 into 0 28.585 * [backup-simplify]: Simplify 1 into 1 28.586 * [backup-simplify]: Simplify (/ -1 1) into -1 28.586 * [taylor]: Taking taylor expansion of (/ -1 x) in x 28.586 * [taylor]: Taking taylor expansion of -1 in x 28.586 * [backup-simplify]: Simplify -1 into -1 28.586 * [taylor]: Taking taylor expansion of x in x 28.586 * [backup-simplify]: Simplify 0 into 0 28.586 * [backup-simplify]: Simplify 1 into 1 28.586 * [backup-simplify]: Simplify (/ -1 1) into -1 28.586 * [backup-simplify]: Simplify (* -1 -1) into 1 28.586 * [backup-simplify]: Simplify (+ 0 1) into 1 28.587 * [backup-simplify]: Simplify (sqrt 1) into 1 28.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 28.588 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 28.588 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 28.589 * [backup-simplify]: Simplify (+ 0 0) into 0 28.589 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.589 * [backup-simplify]: Simplify (* 1 1) into 1 28.590 * [backup-simplify]: Simplify (/ 1 1) into 1 28.590 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 28.590 * [backup-simplify]: Simplify 1/4 into 1/4 28.590 * [backup-simplify]: Simplify (+ 0 0) into 0 28.590 * [backup-simplify]: Simplify 0 into 0 28.591 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 28.591 * [backup-simplify]: Simplify (- 1/4) into -1/4 28.591 * [backup-simplify]: Simplify (+ 0 -1/4) into -1/4 28.591 * [backup-simplify]: Simplify -1/4 into -1/4 28.592 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.592 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 28.593 * [backup-simplify]: Simplify (- 0) into 0 28.593 * [backup-simplify]: Simplify (+ 0 0) into 0 28.593 * [backup-simplify]: Simplify 0 into 0 28.593 * [backup-simplify]: Simplify (* 1 1) into 1 28.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.595 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 28.595 * [backup-simplify]: Simplify (+ 1 0) into 1 28.597 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 28.598 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 28.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1 1)) (* 0 (/ 0 1)))) into -1 28.599 * [backup-simplify]: Simplify (+ (* 1/4 -1) (+ (* 0 0) (* 0 1))) into -1/4 28.600 * [backup-simplify]: Simplify (- -1/4) into 1/4 28.600 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 28.600 * [backup-simplify]: Simplify 1/4 into 1/4 28.600 * [backup-simplify]: Simplify (+ (* 1/4 (pow (/ 1 (- x)) 4)) (+ (* -1/4 (pow (/ 1 (- x)) 2)) 1/4)) into (- (+ (* 1/4 (/ 1 (pow x 4))) 1/4) (* 1/4 (/ 1 (pow x 2)))) 28.601 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 28.601 * [backup-simplify]: Simplify (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) into (/ 1/4 (pow (hypot 1 x) 2)) 28.601 * [approximate]: Taking taylor expansion of (/ 1/4 (pow (hypot 1 x) 2)) in (x) around 0 28.601 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (hypot 1 x) 2)) in x 28.601 * [taylor]: Taking taylor expansion of 1/4 in x 28.601 * [backup-simplify]: Simplify 1/4 into 1/4 28.601 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 2) in x 28.601 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 28.601 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 28.601 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 28.601 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.601 * [taylor]: Taking taylor expansion of 1 in x 28.601 * [backup-simplify]: Simplify 1 into 1 28.601 * [taylor]: Taking taylor expansion of 1 in x 28.601 * [backup-simplify]: Simplify 1 into 1 28.601 * [taylor]: Taking taylor expansion of (* x x) in x 28.601 * [taylor]: Taking taylor expansion of x in x 28.601 * [backup-simplify]: Simplify 0 into 0 28.601 * [backup-simplify]: Simplify 1 into 1 28.601 * [taylor]: Taking taylor expansion of x in x 28.601 * [backup-simplify]: Simplify 0 into 0 28.601 * [backup-simplify]: Simplify 1 into 1 28.601 * [backup-simplify]: Simplify (* 1 1) into 1 28.602 * [backup-simplify]: Simplify (* 0 0) into 0 28.602 * [backup-simplify]: Simplify (+ 1 0) into 1 28.602 * [backup-simplify]: Simplify (sqrt 1) into 1 28.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.603 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 28.603 * [backup-simplify]: Simplify (+ 0 0) into 0 28.604 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.604 * [backup-simplify]: Simplify (* 1 1) into 1 28.604 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 28.604 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (hypot 1 x) 2)) in x 28.604 * [taylor]: Taking taylor expansion of 1/4 in x 28.604 * [backup-simplify]: Simplify 1/4 into 1/4 28.604 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 2) in x 28.604 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 28.604 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 28.604 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 28.604 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.604 * [taylor]: Taking taylor expansion of 1 in x 28.604 * [backup-simplify]: Simplify 1 into 1 28.604 * [taylor]: Taking taylor expansion of 1 in x 28.604 * [backup-simplify]: Simplify 1 into 1 28.604 * [taylor]: Taking taylor expansion of (* x x) in x 28.604 * [taylor]: Taking taylor expansion of x in x 28.604 * [backup-simplify]: Simplify 0 into 0 28.604 * [backup-simplify]: Simplify 1 into 1 28.604 * [taylor]: Taking taylor expansion of x in x 28.604 * [backup-simplify]: Simplify 0 into 0 28.604 * [backup-simplify]: Simplify 1 into 1 28.605 * [backup-simplify]: Simplify (* 1 1) into 1 28.605 * [backup-simplify]: Simplify (* 0 0) into 0 28.605 * [backup-simplify]: Simplify (+ 1 0) into 1 28.605 * [backup-simplify]: Simplify (sqrt 1) into 1 28.606 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.606 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 28.606 * [backup-simplify]: Simplify (+ 0 0) into 0 28.607 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.607 * [backup-simplify]: Simplify (* 1 1) into 1 28.607 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 28.608 * [backup-simplify]: Simplify 1/4 into 1/4 28.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.608 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 28.608 * [backup-simplify]: Simplify 0 into 0 28.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 28.610 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 28.610 * [backup-simplify]: Simplify (+ 0 1) into 1 28.610 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 28.611 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 28.612 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 1 1)) (* 0 (/ 0 1)))) into -1/4 28.612 * [backup-simplify]: Simplify -1/4 into -1/4 28.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 28.613 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 28.613 * [backup-simplify]: Simplify (+ 0 0) into 0 28.614 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 28.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 28.616 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 1 1)) (* -1/4 (/ 0 1)))) into 0 28.616 * [backup-simplify]: Simplify 0 into 0 28.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 28.617 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 28.617 * [backup-simplify]: Simplify (+ 0 0) into 0 28.618 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 28.619 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 28.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1 1)) (* 0 (/ 0 1)))) into 1/4 28.620 * [backup-simplify]: Simplify 1/4 into 1/4 28.620 * [backup-simplify]: Simplify (+ (* 1/4 (pow x 4)) (+ (* -1/4 (pow x 2)) 1/4)) into (- (+ (* 1/4 (pow x 4)) 1/4) (* 1/4 (pow x 2))) 28.620 * [backup-simplify]: Simplify (* (/ 1/2 (hypot 1 (/ 1 x))) (/ 1/2 (hypot 1 (/ 1 x)))) into (/ 1/4 (pow (hypot 1 (/ 1 x)) 2)) 28.620 * [approximate]: Taking taylor expansion of (/ 1/4 (pow (hypot 1 (/ 1 x)) 2)) in (x) around 0 28.620 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (hypot 1 (/ 1 x)) 2)) in x 28.620 * [taylor]: Taking taylor expansion of 1/4 in x 28.620 * [backup-simplify]: Simplify 1/4 into 1/4 28.620 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 2) in x 28.620 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 28.620 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 28.620 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 28.620 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.620 * [taylor]: Taking taylor expansion of 1 in x 28.620 * [backup-simplify]: Simplify 1 into 1 28.621 * [taylor]: Taking taylor expansion of 1 in x 28.621 * [backup-simplify]: Simplify 1 into 1 28.621 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 28.621 * [taylor]: Taking taylor expansion of (/ 1 x) in x 28.621 * [taylor]: Taking taylor expansion of x in x 28.621 * [backup-simplify]: Simplify 0 into 0 28.621 * [backup-simplify]: Simplify 1 into 1 28.621 * [backup-simplify]: Simplify (/ 1 1) into 1 28.621 * [taylor]: Taking taylor expansion of (/ 1 x) in x 28.621 * [taylor]: Taking taylor expansion of x in x 28.621 * [backup-simplify]: Simplify 0 into 0 28.621 * [backup-simplify]: Simplify 1 into 1 28.621 * [backup-simplify]: Simplify (/ 1 1) into 1 28.621 * [backup-simplify]: Simplify (* 1 1) into 1 28.622 * [backup-simplify]: Simplify (+ 0 1) into 1 28.622 * [backup-simplify]: Simplify (sqrt 1) into 1 28.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.625 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.625 * [backup-simplify]: Simplify (+ 0 0) into 0 28.626 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.626 * [backup-simplify]: Simplify (* 1 1) into 1 28.627 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 28.627 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (hypot 1 (/ 1 x)) 2)) in x 28.627 * [taylor]: Taking taylor expansion of 1/4 in x 28.627 * [backup-simplify]: Simplify 1/4 into 1/4 28.627 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 2) in x 28.627 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 28.627 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 28.627 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 28.627 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.627 * [taylor]: Taking taylor expansion of 1 in x 28.627 * [backup-simplify]: Simplify 1 into 1 28.627 * [taylor]: Taking taylor expansion of 1 in x 28.627 * [backup-simplify]: Simplify 1 into 1 28.627 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 28.627 * [taylor]: Taking taylor expansion of (/ 1 x) in x 28.627 * [taylor]: Taking taylor expansion of x in x 28.627 * [backup-simplify]: Simplify 0 into 0 28.627 * [backup-simplify]: Simplify 1 into 1 28.628 * [backup-simplify]: Simplify (/ 1 1) into 1 28.628 * [taylor]: Taking taylor expansion of (/ 1 x) in x 28.628 * [taylor]: Taking taylor expansion of x in x 28.628 * [backup-simplify]: Simplify 0 into 0 28.628 * [backup-simplify]: Simplify 1 into 1 28.628 * [backup-simplify]: Simplify (/ 1 1) into 1 28.629 * [backup-simplify]: Simplify (* 1 1) into 1 28.629 * [backup-simplify]: Simplify (+ 0 1) into 1 28.630 * [backup-simplify]: Simplify (sqrt 1) into 1 28.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.632 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.632 * [backup-simplify]: Simplify (+ 0 0) into 0 28.633 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.633 * [backup-simplify]: Simplify (* 1 1) into 1 28.634 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 28.634 * [backup-simplify]: Simplify 1/4 into 1/4 28.634 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 28.635 * [backup-simplify]: Simplify 0 into 0 28.636 * [backup-simplify]: Simplify (* 1 1) into 1 28.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 28.639 * [backup-simplify]: Simplify (+ 1 0) into 1 28.640 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 28.641 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 28.642 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 1 1)) (* 0 (/ 0 1)))) into -1/4 28.642 * [backup-simplify]: Simplify -1/4 into -1/4 28.643 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 28.647 * [backup-simplify]: Simplify (+ 0 0) into 0 28.648 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 28.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 28.651 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 1 1)) (* -1/4 (/ 0 1)))) into 0 28.651 * [backup-simplify]: Simplify 0 into 0 28.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 28.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 28.656 * [backup-simplify]: Simplify (+ 0 0) into 0 28.657 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 28.659 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 28.660 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1 1)) (* 0 (/ 0 1)))) into 1/4 28.660 * [backup-simplify]: Simplify 1/4 into 1/4 28.661 * [backup-simplify]: Simplify (+ (* 1/4 (pow (/ 1 x) 6)) (+ (* -1/4 (pow (/ 1 x) 4)) (* 1/4 (pow (/ 1 x) 2)))) into (- (+ (* 1/4 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))) (* 1/4 (/ 1 (pow x 4)))) 28.661 * [backup-simplify]: Simplify (* (/ 1/2 (hypot 1 (/ 1 (- x)))) (/ 1/2 (hypot 1 (/ 1 (- x))))) into (/ 1/4 (pow (hypot 1 (/ -1 x)) 2)) 28.661 * [approximate]: Taking taylor expansion of (/ 1/4 (pow (hypot 1 (/ -1 x)) 2)) in (x) around 0 28.661 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (hypot 1 (/ -1 x)) 2)) in x 28.661 * [taylor]: Taking taylor expansion of 1/4 in x 28.661 * [backup-simplify]: Simplify 1/4 into 1/4 28.661 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 2) in x 28.661 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 28.661 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 28.661 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 28.661 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.661 * [taylor]: Taking taylor expansion of 1 in x 28.661 * [backup-simplify]: Simplify 1 into 1 28.661 * [taylor]: Taking taylor expansion of 1 in x 28.662 * [backup-simplify]: Simplify 1 into 1 28.662 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 28.662 * [taylor]: Taking taylor expansion of (/ -1 x) in x 28.662 * [taylor]: Taking taylor expansion of -1 in x 28.662 * [backup-simplify]: Simplify -1 into -1 28.662 * [taylor]: Taking taylor expansion of x in x 28.662 * [backup-simplify]: Simplify 0 into 0 28.662 * [backup-simplify]: Simplify 1 into 1 28.662 * [backup-simplify]: Simplify (/ -1 1) into -1 28.662 * [taylor]: Taking taylor expansion of (/ -1 x) in x 28.662 * [taylor]: Taking taylor expansion of -1 in x 28.662 * [backup-simplify]: Simplify -1 into -1 28.662 * [taylor]: Taking taylor expansion of x in x 28.662 * [backup-simplify]: Simplify 0 into 0 28.662 * [backup-simplify]: Simplify 1 into 1 28.663 * [backup-simplify]: Simplify (/ -1 1) into -1 28.663 * [backup-simplify]: Simplify (* -1 -1) into 1 28.664 * [backup-simplify]: Simplify (+ 0 1) into 1 28.664 * [backup-simplify]: Simplify (sqrt 1) into 1 28.665 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 28.666 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 28.666 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 28.667 * [backup-simplify]: Simplify (+ 0 0) into 0 28.667 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.668 * [backup-simplify]: Simplify (* 1 1) into 1 28.668 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 28.668 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (hypot 1 (/ -1 x)) 2)) in x 28.668 * [taylor]: Taking taylor expansion of 1/4 in x 28.668 * [backup-simplify]: Simplify 1/4 into 1/4 28.668 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 2) in x 28.668 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 28.668 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 28.668 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 28.668 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.668 * [taylor]: Taking taylor expansion of 1 in x 28.669 * [backup-simplify]: Simplify 1 into 1 28.669 * [taylor]: Taking taylor expansion of 1 in x 28.669 * [backup-simplify]: Simplify 1 into 1 28.669 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 28.669 * [taylor]: Taking taylor expansion of (/ -1 x) in x 28.669 * [taylor]: Taking taylor expansion of -1 in x 28.669 * [backup-simplify]: Simplify -1 into -1 28.669 * [taylor]: Taking taylor expansion of x in x 28.669 * [backup-simplify]: Simplify 0 into 0 28.669 * [backup-simplify]: Simplify 1 into 1 28.669 * [backup-simplify]: Simplify (/ -1 1) into -1 28.669 * [taylor]: Taking taylor expansion of (/ -1 x) in x 28.669 * [taylor]: Taking taylor expansion of -1 in x 28.669 * [backup-simplify]: Simplify -1 into -1 28.669 * [taylor]: Taking taylor expansion of x in x 28.669 * [backup-simplify]: Simplify 0 into 0 28.669 * [backup-simplify]: Simplify 1 into 1 28.670 * [backup-simplify]: Simplify (/ -1 1) into -1 28.670 * [backup-simplify]: Simplify (* -1 -1) into 1 28.670 * [backup-simplify]: Simplify (+ 0 1) into 1 28.671 * [backup-simplify]: Simplify (sqrt 1) into 1 28.672 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 28.673 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 28.674 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 28.674 * [backup-simplify]: Simplify (+ 0 0) into 0 28.675 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.675 * [backup-simplify]: Simplify (* 1 1) into 1 28.676 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 28.676 * [backup-simplify]: Simplify 1/4 into 1/4 28.677 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.677 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 28.677 * [backup-simplify]: Simplify 0 into 0 28.678 * [backup-simplify]: Simplify (* 1 1) into 1 28.679 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.680 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.681 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 28.681 * [backup-simplify]: Simplify (+ 1 0) into 1 28.682 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 28.683 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 28.684 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 1 1)) (* 0 (/ 0 1)))) into -1/4 28.685 * [backup-simplify]: Simplify -1/4 into -1/4 28.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.686 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.687 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.687 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 28.692 * [backup-simplify]: Simplify (+ 0 0) into 0 28.693 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 28.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 28.695 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 1 1)) (* -1/4 (/ 0 1)))) into 0 28.695 * [backup-simplify]: Simplify 0 into 0 28.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 28.696 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.696 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.697 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 28.697 * [backup-simplify]: Simplify (+ 0 0) into 0 28.698 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 28.700 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 28.701 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1 1)) (* 0 (/ 0 1)))) into 1/4 28.701 * [backup-simplify]: Simplify 1/4 into 1/4 28.701 * [backup-simplify]: Simplify (+ (* 1/4 (pow (/ 1 (- x)) 6)) (+ (* -1/4 (pow (/ 1 (- x)) 4)) (* 1/4 (pow (/ 1 (- x)) 2)))) into (- (+ (* 1/4 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))) (* 1/4 (/ 1 (pow x 4)))) 28.701 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 28.702 * [backup-simplify]: Simplify (/ (- (* 1/2 1/2) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) into (/ (- 1/4 (* 1/4 (/ 1 (pow (hypot 1 x) 2)))) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 28.702 * [approximate]: Taking taylor expansion of (/ (- 1/4 (* 1/4 (/ 1 (pow (hypot 1 x) 2)))) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in (x) around 0 28.702 * [taylor]: Taking taylor expansion of (/ (- 1/4 (* 1/4 (/ 1 (pow (hypot 1 x) 2)))) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 28.702 * [taylor]: Taking taylor expansion of (- 1/4 (* 1/4 (/ 1 (pow (hypot 1 x) 2)))) in x 28.702 * [taylor]: Taking taylor expansion of 1/4 in x 28.702 * [backup-simplify]: Simplify 1/4 into 1/4 28.702 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow (hypot 1 x) 2))) in x 28.702 * [taylor]: Taking taylor expansion of 1/4 in x 28.702 * [backup-simplify]: Simplify 1/4 into 1/4 28.702 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 x) 2)) in x 28.702 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 2) in x 28.702 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 28.702 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 28.702 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 28.702 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.702 * [taylor]: Taking taylor expansion of 1 in x 28.702 * [backup-simplify]: Simplify 1 into 1 28.702 * [taylor]: Taking taylor expansion of 1 in x 28.702 * [backup-simplify]: Simplify 1 into 1 28.702 * [taylor]: Taking taylor expansion of (* x x) in x 28.702 * [taylor]: Taking taylor expansion of x in x 28.702 * [backup-simplify]: Simplify 0 into 0 28.702 * [backup-simplify]: Simplify 1 into 1 28.702 * [taylor]: Taking taylor expansion of x in x 28.702 * [backup-simplify]: Simplify 0 into 0 28.702 * [backup-simplify]: Simplify 1 into 1 28.702 * [backup-simplify]: Simplify (* 1 1) into 1 28.702 * [backup-simplify]: Simplify (* 0 0) into 0 28.703 * [backup-simplify]: Simplify (+ 1 0) into 1 28.703 * [backup-simplify]: Simplify (sqrt 1) into 1 28.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.704 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 28.704 * [backup-simplify]: Simplify (+ 0 0) into 0 28.704 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.705 * [backup-simplify]: Simplify (* 1 1) into 1 28.705 * [backup-simplify]: Simplify (/ 1 1) into 1 28.705 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 28.705 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 28.705 * [taylor]: Taking taylor expansion of 1/2 in x 28.705 * [backup-simplify]: Simplify 1/2 into 1/2 28.705 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 28.705 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 28.705 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 28.705 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 28.705 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.705 * [taylor]: Taking taylor expansion of 1 in x 28.705 * [backup-simplify]: Simplify 1 into 1 28.705 * [taylor]: Taking taylor expansion of 1 in x 28.705 * [backup-simplify]: Simplify 1 into 1 28.705 * [taylor]: Taking taylor expansion of (* x x) in x 28.705 * [taylor]: Taking taylor expansion of x in x 28.705 * [backup-simplify]: Simplify 0 into 0 28.705 * [backup-simplify]: Simplify 1 into 1 28.705 * [taylor]: Taking taylor expansion of x in x 28.705 * [backup-simplify]: Simplify 0 into 0 28.705 * [backup-simplify]: Simplify 1 into 1 28.706 * [backup-simplify]: Simplify (* 1 1) into 1 28.706 * [backup-simplify]: Simplify (* 0 0) into 0 28.706 * [backup-simplify]: Simplify (+ 1 0) into 1 28.706 * [backup-simplify]: Simplify (sqrt 1) into 1 28.707 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.707 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 28.707 * [backup-simplify]: Simplify (+ 0 0) into 0 28.708 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.708 * [backup-simplify]: Simplify (/ 1 1) into 1 28.708 * [taylor]: Taking taylor expansion of 1/2 in x 28.708 * [backup-simplify]: Simplify 1/2 into 1/2 28.708 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 28.709 * [backup-simplify]: Simplify (- 1/4) into -1/4 28.709 * [backup-simplify]: Simplify (+ 1/4 -1/4) into 0 28.709 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.710 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 28.710 * [backup-simplify]: Simplify (- 0) into 0 28.711 * [backup-simplify]: Simplify (+ 0 0) into 0 28.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 28.712 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 28.712 * [backup-simplify]: Simplify (+ 0 1) into 1 28.712 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 28.713 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 28.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1 1)) (* 0 (/ 0 1)))) into -1 28.714 * [backup-simplify]: Simplify (+ (* 1/4 -1) (+ (* 0 0) (* 0 1))) into -1/4 28.715 * [backup-simplify]: Simplify (- -1/4) into 1/4 28.715 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 28.715 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 28.715 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 28.716 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 28.716 * [taylor]: Taking taylor expansion of (/ (- 1/4 (* 1/4 (/ 1 (pow (hypot 1 x) 2)))) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 28.716 * [taylor]: Taking taylor expansion of (- 1/4 (* 1/4 (/ 1 (pow (hypot 1 x) 2)))) in x 28.716 * [taylor]: Taking taylor expansion of 1/4 in x 28.716 * [backup-simplify]: Simplify 1/4 into 1/4 28.716 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow (hypot 1 x) 2))) in x 28.716 * [taylor]: Taking taylor expansion of 1/4 in x 28.716 * [backup-simplify]: Simplify 1/4 into 1/4 28.716 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 x) 2)) in x 28.716 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 2) in x 28.716 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 28.716 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 28.716 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 28.716 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.716 * [taylor]: Taking taylor expansion of 1 in x 28.716 * [backup-simplify]: Simplify 1 into 1 28.716 * [taylor]: Taking taylor expansion of 1 in x 28.716 * [backup-simplify]: Simplify 1 into 1 28.716 * [taylor]: Taking taylor expansion of (* x x) in x 28.716 * [taylor]: Taking taylor expansion of x in x 28.716 * [backup-simplify]: Simplify 0 into 0 28.716 * [backup-simplify]: Simplify 1 into 1 28.716 * [taylor]: Taking taylor expansion of x in x 28.716 * [backup-simplify]: Simplify 0 into 0 28.716 * [backup-simplify]: Simplify 1 into 1 28.716 * [backup-simplify]: Simplify (* 1 1) into 1 28.717 * [backup-simplify]: Simplify (* 0 0) into 0 28.717 * [backup-simplify]: Simplify (+ 1 0) into 1 28.717 * [backup-simplify]: Simplify (sqrt 1) into 1 28.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.718 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 28.718 * [backup-simplify]: Simplify (+ 0 0) into 0 28.718 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.719 * [backup-simplify]: Simplify (* 1 1) into 1 28.719 * [backup-simplify]: Simplify (/ 1 1) into 1 28.719 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 28.719 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 28.719 * [taylor]: Taking taylor expansion of 1/2 in x 28.719 * [backup-simplify]: Simplify 1/2 into 1/2 28.719 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 28.719 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 28.719 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 28.719 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 28.719 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.719 * [taylor]: Taking taylor expansion of 1 in x 28.719 * [backup-simplify]: Simplify 1 into 1 28.719 * [taylor]: Taking taylor expansion of 1 in x 28.719 * [backup-simplify]: Simplify 1 into 1 28.719 * [taylor]: Taking taylor expansion of (* x x) in x 28.719 * [taylor]: Taking taylor expansion of x in x 28.719 * [backup-simplify]: Simplify 0 into 0 28.719 * [backup-simplify]: Simplify 1 into 1 28.719 * [taylor]: Taking taylor expansion of x in x 28.719 * [backup-simplify]: Simplify 0 into 0 28.719 * [backup-simplify]: Simplify 1 into 1 28.720 * [backup-simplify]: Simplify (* 1 1) into 1 28.720 * [backup-simplify]: Simplify (* 0 0) into 0 28.720 * [backup-simplify]: Simplify (+ 1 0) into 1 28.720 * [backup-simplify]: Simplify (sqrt 1) into 1 28.721 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.721 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 28.721 * [backup-simplify]: Simplify (+ 0 0) into 0 28.722 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.722 * [backup-simplify]: Simplify (/ 1 1) into 1 28.722 * [taylor]: Taking taylor expansion of 1/2 in x 28.722 * [backup-simplify]: Simplify 1/2 into 1/2 28.722 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 28.723 * [backup-simplify]: Simplify (- 1/4) into -1/4 28.723 * [backup-simplify]: Simplify (+ 1/4 -1/4) into 0 28.723 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.724 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 28.724 * [backup-simplify]: Simplify (- 0) into 0 28.725 * [backup-simplify]: Simplify (+ 0 0) into 0 28.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 28.726 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 28.726 * [backup-simplify]: Simplify (+ 0 1) into 1 28.727 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 28.727 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 28.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1 1)) (* 0 (/ 0 1)))) into -1 28.729 * [backup-simplify]: Simplify (+ (* 1/4 -1) (+ (* 0 0) (* 0 1))) into -1/4 28.729 * [backup-simplify]: Simplify (- -1/4) into 1/4 28.729 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 28.729 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 28.730 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 28.730 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 28.730 * [backup-simplify]: Simplify 1/4 into 1/4 28.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 28.731 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 28.731 * [backup-simplify]: Simplify (+ 0 0) into 0 28.732 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 28.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 28.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1 1)) (* -1 (/ 0 1)))) into 0 28.734 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1)))) into 0 28.735 * [backup-simplify]: Simplify (- 0) into 0 28.735 * [backup-simplify]: Simplify (+ 0 0) into 0 28.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.736 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 28.736 * [backup-simplify]: Simplify (+ 0 0) into 0 28.737 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 28.737 * [backup-simplify]: Simplify 0 into 0 28.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 28.738 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 28.738 * [backup-simplify]: Simplify (+ 0 0) into 0 28.739 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 28.740 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 28.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1 (/ 1 1)) (* 0 (/ 0 1)))) into 1 28.742 * [backup-simplify]: Simplify (+ (* 1/4 1) (+ (* 0 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1))))) into 1/4 28.742 * [backup-simplify]: Simplify (- 1/4) into -1/4 28.743 * [backup-simplify]: Simplify (+ 0 -1/4) into -1/4 28.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 28.744 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 28.744 * [backup-simplify]: Simplify (+ 0 1) into 1 28.745 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 28.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 28.746 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 28.746 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 28.747 * [backup-simplify]: Simplify (- (/ -1/4 1) (+ (* 1/4 (/ -1/4 1)) (* 0 (/ 0 1)))) into -3/16 28.747 * [backup-simplify]: Simplify -3/16 into -3/16 28.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 28.749 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 28.749 * [backup-simplify]: Simplify (+ 0 0) into 0 28.750 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 28.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* 1/2 0) (+ (* 0 1/2) (+ (* -1/8 0) (* 0 1)))))) into 0 28.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1 (/ 0 1)) (* 0 (/ 1 1)) (* 1 (/ 0 1)))) into 0 28.753 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 1) (+ (* 0 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1)))))) into 0 28.754 * [backup-simplify]: Simplify (- 0) into 0 28.754 * [backup-simplify]: Simplify (+ 0 0) into 0 28.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 28.755 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 28.756 * [backup-simplify]: Simplify (+ 0 0) into 0 28.756 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 28.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 28.758 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 28.758 * [backup-simplify]: Simplify (+ 0 0) into 0 28.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ -1/4 1)) (* -3/16 (/ 0 1)))) into 0 28.759 * [backup-simplify]: Simplify 0 into 0 28.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 28.761 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 28.761 * [backup-simplify]: Simplify (+ 0 0) into 0 28.762 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 28.764 * [backup-simplify]: Simplify (+ (* 1 1/16) (+ (* 0 0) (+ (* 1/2 -1/8) (+ (* 0 0) (+ (* -1/8 1/2) (+ (* 0 0) (* 1/16 1))))))) into 0 28.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 1 (/ 1 1)) (* 0 (/ 0 1)))) into -1 28.766 * [backup-simplify]: Simplify (+ (* 1/4 -1) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1))))))) into -1/4 28.766 * [backup-simplify]: Simplify (- -1/4) into 1/4 28.766 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 28.767 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 28.768 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 28.768 * [backup-simplify]: Simplify (+ 0 0) into 0 28.769 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 28.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 28.771 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 28.771 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 28.772 * [backup-simplify]: Simplify (- (/ 1/4 1) (+ (* 1/4 (/ 3/16 1)) (* 0 (/ 0 1)) (* -3/16 (/ -1/4 1)) (* 0 (/ 0 1)))) into 5/32 28.772 * [backup-simplify]: Simplify 5/32 into 5/32 28.773 * [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))) 28.773 * [backup-simplify]: Simplify (/ (- (* 1/2 1/2) (* (/ 1/2 (hypot 1 (/ 1 x))) (/ 1/2 (hypot 1 (/ 1 x))))) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) into (/ (- 1/4 (* 1/4 (/ 1 (pow (hypot 1 (/ 1 x)) 2)))) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 28.773 * [approximate]: Taking taylor expansion of (/ (- 1/4 (* 1/4 (/ 1 (pow (hypot 1 (/ 1 x)) 2)))) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in (x) around 0 28.773 * [taylor]: Taking taylor expansion of (/ (- 1/4 (* 1/4 (/ 1 (pow (hypot 1 (/ 1 x)) 2)))) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 28.773 * [taylor]: Taking taylor expansion of (- 1/4 (* 1/4 (/ 1 (pow (hypot 1 (/ 1 x)) 2)))) in x 28.773 * [taylor]: Taking taylor expansion of 1/4 in x 28.773 * [backup-simplify]: Simplify 1/4 into 1/4 28.773 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow (hypot 1 (/ 1 x)) 2))) in x 28.773 * [taylor]: Taking taylor expansion of 1/4 in x 28.773 * [backup-simplify]: Simplify 1/4 into 1/4 28.773 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ 1 x)) 2)) in x 28.773 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 2) in x 28.773 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 28.773 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 28.773 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 28.773 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.773 * [taylor]: Taking taylor expansion of 1 in x 28.773 * [backup-simplify]: Simplify 1 into 1 28.773 * [taylor]: Taking taylor expansion of 1 in x 28.773 * [backup-simplify]: Simplify 1 into 1 28.773 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 28.773 * [taylor]: Taking taylor expansion of (/ 1 x) in x 28.773 * [taylor]: Taking taylor expansion of x in x 28.773 * [backup-simplify]: Simplify 0 into 0 28.773 * [backup-simplify]: Simplify 1 into 1 28.774 * [backup-simplify]: Simplify (/ 1 1) into 1 28.774 * [taylor]: Taking taylor expansion of (/ 1 x) in x 28.774 * [taylor]: Taking taylor expansion of x in x 28.774 * [backup-simplify]: Simplify 0 into 0 28.774 * [backup-simplify]: Simplify 1 into 1 28.774 * [backup-simplify]: Simplify (/ 1 1) into 1 28.774 * [backup-simplify]: Simplify (* 1 1) into 1 28.775 * [backup-simplify]: Simplify (+ 0 1) into 1 28.775 * [backup-simplify]: Simplify (sqrt 1) into 1 28.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.777 * [backup-simplify]: Simplify (+ 0 0) into 0 28.777 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.778 * [backup-simplify]: Simplify (* 1 1) into 1 28.778 * [backup-simplify]: Simplify (/ 1 1) into 1 28.778 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 28.778 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 28.778 * [taylor]: Taking taylor expansion of 1/2 in x 28.778 * [backup-simplify]: Simplify 1/2 into 1/2 28.778 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 28.778 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 28.778 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 28.778 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 28.778 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.778 * [taylor]: Taking taylor expansion of 1 in x 28.778 * [backup-simplify]: Simplify 1 into 1 28.778 * [taylor]: Taking taylor expansion of 1 in x 28.778 * [backup-simplify]: Simplify 1 into 1 28.778 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 28.778 * [taylor]: Taking taylor expansion of (/ 1 x) in x 28.778 * [taylor]: Taking taylor expansion of x in x 28.778 * [backup-simplify]: Simplify 0 into 0 28.778 * [backup-simplify]: Simplify 1 into 1 28.778 * [backup-simplify]: Simplify (/ 1 1) into 1 28.779 * [taylor]: Taking taylor expansion of (/ 1 x) in x 28.779 * [taylor]: Taking taylor expansion of x in x 28.779 * [backup-simplify]: Simplify 0 into 0 28.779 * [backup-simplify]: Simplify 1 into 1 28.779 * [backup-simplify]: Simplify (/ 1 1) into 1 28.779 * [backup-simplify]: Simplify (* 1 1) into 1 28.779 * [backup-simplify]: Simplify (+ 0 1) into 1 28.780 * [backup-simplify]: Simplify (sqrt 1) into 1 28.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.786 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.786 * [backup-simplify]: Simplify (+ 0 0) into 0 28.787 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.787 * [backup-simplify]: Simplify (/ 1 1) into 1 28.787 * [taylor]: Taking taylor expansion of 1/2 in x 28.787 * [backup-simplify]: Simplify 1/2 into 1/2 28.787 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 28.788 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 28.788 * [backup-simplify]: Simplify (/ 1/4 1/2) into 1/2 28.788 * [taylor]: Taking taylor expansion of (/ (- 1/4 (* 1/4 (/ 1 (pow (hypot 1 (/ 1 x)) 2)))) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 28.788 * [taylor]: Taking taylor expansion of (- 1/4 (* 1/4 (/ 1 (pow (hypot 1 (/ 1 x)) 2)))) in x 28.788 * [taylor]: Taking taylor expansion of 1/4 in x 28.788 * [backup-simplify]: Simplify 1/4 into 1/4 28.788 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow (hypot 1 (/ 1 x)) 2))) in x 28.788 * [taylor]: Taking taylor expansion of 1/4 in x 28.788 * [backup-simplify]: Simplify 1/4 into 1/4 28.788 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ 1 x)) 2)) in x 28.788 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 2) in x 28.788 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 28.788 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 28.788 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 28.788 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.788 * [taylor]: Taking taylor expansion of 1 in x 28.788 * [backup-simplify]: Simplify 1 into 1 28.788 * [taylor]: Taking taylor expansion of 1 in x 28.788 * [backup-simplify]: Simplify 1 into 1 28.788 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 28.788 * [taylor]: Taking taylor expansion of (/ 1 x) in x 28.788 * [taylor]: Taking taylor expansion of x in x 28.788 * [backup-simplify]: Simplify 0 into 0 28.788 * [backup-simplify]: Simplify 1 into 1 28.789 * [backup-simplify]: Simplify (/ 1 1) into 1 28.789 * [taylor]: Taking taylor expansion of (/ 1 x) in x 28.789 * [taylor]: Taking taylor expansion of x in x 28.789 * [backup-simplify]: Simplify 0 into 0 28.789 * [backup-simplify]: Simplify 1 into 1 28.789 * [backup-simplify]: Simplify (/ 1 1) into 1 28.789 * [backup-simplify]: Simplify (* 1 1) into 1 28.789 * [backup-simplify]: Simplify (+ 0 1) into 1 28.790 * [backup-simplify]: Simplify (sqrt 1) into 1 28.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.791 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.791 * [backup-simplify]: Simplify (+ 0 0) into 0 28.792 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.792 * [backup-simplify]: Simplify (* 1 1) into 1 28.792 * [backup-simplify]: Simplify (/ 1 1) into 1 28.792 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 28.792 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 28.792 * [taylor]: Taking taylor expansion of 1/2 in x 28.792 * [backup-simplify]: Simplify 1/2 into 1/2 28.792 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 28.792 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 28.792 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 28.792 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 28.792 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.792 * [taylor]: Taking taylor expansion of 1 in x 28.792 * [backup-simplify]: Simplify 1 into 1 28.792 * [taylor]: Taking taylor expansion of 1 in x 28.792 * [backup-simplify]: Simplify 1 into 1 28.793 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 28.793 * [taylor]: Taking taylor expansion of (/ 1 x) in x 28.793 * [taylor]: Taking taylor expansion of x in x 28.793 * [backup-simplify]: Simplify 0 into 0 28.793 * [backup-simplify]: Simplify 1 into 1 28.793 * [backup-simplify]: Simplify (/ 1 1) into 1 28.793 * [taylor]: Taking taylor expansion of (/ 1 x) in x 28.793 * [taylor]: Taking taylor expansion of x in x 28.793 * [backup-simplify]: Simplify 0 into 0 28.793 * [backup-simplify]: Simplify 1 into 1 28.793 * [backup-simplify]: Simplify (/ 1 1) into 1 28.793 * [backup-simplify]: Simplify (* 1 1) into 1 28.794 * [backup-simplify]: Simplify (+ 0 1) into 1 28.794 * [backup-simplify]: Simplify (sqrt 1) into 1 28.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.796 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.796 * [backup-simplify]: Simplify (+ 0 0) into 0 28.796 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.797 * [backup-simplify]: Simplify (/ 1 1) into 1 28.797 * [taylor]: Taking taylor expansion of 1/2 in x 28.797 * [backup-simplify]: Simplify 1/2 into 1/2 28.797 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 28.797 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 28.798 * [backup-simplify]: Simplify (/ 1/4 1/2) into 1/2 28.798 * [backup-simplify]: Simplify 1/2 into 1/2 28.798 * [backup-simplify]: Simplify (+ 0 0) into 0 28.798 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 28.798 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 28.799 * [backup-simplify]: Simplify (- (/ 0 1/2) (+ (* 1/2 (/ 1/2 1/2)))) into -1/2 28.799 * [backup-simplify]: Simplify -1/2 into -1/2 28.799 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 28.800 * [backup-simplify]: Simplify (- 1/4) into -1/4 28.800 * [backup-simplify]: Simplify (+ 0 -1/4) into -1/4 28.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.801 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 28.801 * [backup-simplify]: Simplify (+ 0 0) into 0 28.802 * [backup-simplify]: Simplify (- (/ -1/4 1/2) (+ (* 1/2 (/ 0 1/2)) (* -1/2 (/ 1/2 1/2)))) into 0 28.802 * [backup-simplify]: Simplify 0 into 0 28.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.803 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 28.803 * [backup-simplify]: Simplify (- 0) into 0 28.804 * [backup-simplify]: Simplify (+ 0 0) into 0 28.804 * [backup-simplify]: Simplify (* 1 1) into 1 28.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 28.806 * [backup-simplify]: Simplify (+ 1 0) into 1 28.807 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 28.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 28.808 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 28.808 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 28.809 * [backup-simplify]: Simplify (- (/ 0 1/2) (+ (* 1/2 (/ -1/4 1/2)) (* -1/2 (/ 0 1/2)) (* 0 (/ 1/2 1/2)))) into 1/4 28.809 * [backup-simplify]: Simplify 1/4 into 1/4 28.810 * [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))) 28.810 * [backup-simplify]: Simplify (/ (- (* 1/2 1/2) (* (/ 1/2 (hypot 1 (/ 1 (- x)))) (/ 1/2 (hypot 1 (/ 1 (- x)))))) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) into (/ (- 1/4 (* 1/4 (/ 1 (pow (hypot 1 (/ -1 x)) 2)))) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 28.810 * [approximate]: Taking taylor expansion of (/ (- 1/4 (* 1/4 (/ 1 (pow (hypot 1 (/ -1 x)) 2)))) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in (x) around 0 28.810 * [taylor]: Taking taylor expansion of (/ (- 1/4 (* 1/4 (/ 1 (pow (hypot 1 (/ -1 x)) 2)))) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 28.810 * [taylor]: Taking taylor expansion of (- 1/4 (* 1/4 (/ 1 (pow (hypot 1 (/ -1 x)) 2)))) in x 28.810 * [taylor]: Taking taylor expansion of 1/4 in x 28.810 * [backup-simplify]: Simplify 1/4 into 1/4 28.810 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow (hypot 1 (/ -1 x)) 2))) in x 28.810 * [taylor]: Taking taylor expansion of 1/4 in x 28.810 * [backup-simplify]: Simplify 1/4 into 1/4 28.810 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ -1 x)) 2)) in x 28.810 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 2) in x 28.810 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 28.810 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 28.810 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 28.810 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.810 * [taylor]: Taking taylor expansion of 1 in x 28.810 * [backup-simplify]: Simplify 1 into 1 28.810 * [taylor]: Taking taylor expansion of 1 in x 28.810 * [backup-simplify]: Simplify 1 into 1 28.810 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 28.810 * [taylor]: Taking taylor expansion of (/ -1 x) in x 28.810 * [taylor]: Taking taylor expansion of -1 in x 28.810 * [backup-simplify]: Simplify -1 into -1 28.810 * [taylor]: Taking taylor expansion of x in x 28.810 * [backup-simplify]: Simplify 0 into 0 28.810 * [backup-simplify]: Simplify 1 into 1 28.811 * [backup-simplify]: Simplify (/ -1 1) into -1 28.811 * [taylor]: Taking taylor expansion of (/ -1 x) in x 28.811 * [taylor]: Taking taylor expansion of -1 in x 28.811 * [backup-simplify]: Simplify -1 into -1 28.811 * [taylor]: Taking taylor expansion of x in x 28.811 * [backup-simplify]: Simplify 0 into 0 28.811 * [backup-simplify]: Simplify 1 into 1 28.811 * [backup-simplify]: Simplify (/ -1 1) into -1 28.811 * [backup-simplify]: Simplify (* -1 -1) into 1 28.812 * [backup-simplify]: Simplify (+ 0 1) into 1 28.812 * [backup-simplify]: Simplify (sqrt 1) into 1 28.812 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 28.813 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 28.813 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 28.814 * [backup-simplify]: Simplify (+ 0 0) into 0 28.814 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.814 * [backup-simplify]: Simplify (* 1 1) into 1 28.815 * [backup-simplify]: Simplify (/ 1 1) into 1 28.815 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 28.815 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 28.815 * [taylor]: Taking taylor expansion of 1/2 in x 28.815 * [backup-simplify]: Simplify 1/2 into 1/2 28.815 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 28.815 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 28.815 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 28.815 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 28.815 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.815 * [taylor]: Taking taylor expansion of 1 in x 28.815 * [backup-simplify]: Simplify 1 into 1 28.815 * [taylor]: Taking taylor expansion of 1 in x 28.815 * [backup-simplify]: Simplify 1 into 1 28.815 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 28.815 * [taylor]: Taking taylor expansion of (/ -1 x) in x 28.815 * [taylor]: Taking taylor expansion of -1 in x 28.815 * [backup-simplify]: Simplify -1 into -1 28.815 * [taylor]: Taking taylor expansion of x in x 28.815 * [backup-simplify]: Simplify 0 into 0 28.815 * [backup-simplify]: Simplify 1 into 1 28.815 * [backup-simplify]: Simplify (/ -1 1) into -1 28.815 * [taylor]: Taking taylor expansion of (/ -1 x) in x 28.815 * [taylor]: Taking taylor expansion of -1 in x 28.815 * [backup-simplify]: Simplify -1 into -1 28.815 * [taylor]: Taking taylor expansion of x in x 28.815 * [backup-simplify]: Simplify 0 into 0 28.815 * [backup-simplify]: Simplify 1 into 1 28.816 * [backup-simplify]: Simplify (/ -1 1) into -1 28.816 * [backup-simplify]: Simplify (* -1 -1) into 1 28.816 * [backup-simplify]: Simplify (+ 0 1) into 1 28.816 * [backup-simplify]: Simplify (sqrt 1) into 1 28.817 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 28.817 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 28.818 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 28.818 * [backup-simplify]: Simplify (+ 0 0) into 0 28.819 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.820 * [backup-simplify]: Simplify (/ 1 1) into 1 28.820 * [taylor]: Taking taylor expansion of 1/2 in x 28.820 * [backup-simplify]: Simplify 1/2 into 1/2 28.820 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 28.821 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 28.821 * [backup-simplify]: Simplify (/ 1/4 1/2) into 1/2 28.821 * [taylor]: Taking taylor expansion of (/ (- 1/4 (* 1/4 (/ 1 (pow (hypot 1 (/ -1 x)) 2)))) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 28.821 * [taylor]: Taking taylor expansion of (- 1/4 (* 1/4 (/ 1 (pow (hypot 1 (/ -1 x)) 2)))) in x 28.821 * [taylor]: Taking taylor expansion of 1/4 in x 28.821 * [backup-simplify]: Simplify 1/4 into 1/4 28.821 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow (hypot 1 (/ -1 x)) 2))) in x 28.821 * [taylor]: Taking taylor expansion of 1/4 in x 28.821 * [backup-simplify]: Simplify 1/4 into 1/4 28.821 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ -1 x)) 2)) in x 28.821 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 2) in x 28.821 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 28.821 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 28.821 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 28.821 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.821 * [taylor]: Taking taylor expansion of 1 in x 28.822 * [backup-simplify]: Simplify 1 into 1 28.822 * [taylor]: Taking taylor expansion of 1 in x 28.822 * [backup-simplify]: Simplify 1 into 1 28.822 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 28.822 * [taylor]: Taking taylor expansion of (/ -1 x) in x 28.822 * [taylor]: Taking taylor expansion of -1 in x 28.822 * [backup-simplify]: Simplify -1 into -1 28.822 * [taylor]: Taking taylor expansion of x in x 28.822 * [backup-simplify]: Simplify 0 into 0 28.822 * [backup-simplify]: Simplify 1 into 1 28.822 * [backup-simplify]: Simplify (/ -1 1) into -1 28.822 * [taylor]: Taking taylor expansion of (/ -1 x) in x 28.822 * [taylor]: Taking taylor expansion of -1 in x 28.822 * [backup-simplify]: Simplify -1 into -1 28.822 * [taylor]: Taking taylor expansion of x in x 28.822 * [backup-simplify]: Simplify 0 into 0 28.822 * [backup-simplify]: Simplify 1 into 1 28.823 * [backup-simplify]: Simplify (/ -1 1) into -1 28.823 * [backup-simplify]: Simplify (* -1 -1) into 1 28.824 * [backup-simplify]: Simplify (+ 0 1) into 1 28.824 * [backup-simplify]: Simplify (sqrt 1) into 1 28.825 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 28.826 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 28.827 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 28.827 * [backup-simplify]: Simplify (+ 0 0) into 0 28.828 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.828 * [backup-simplify]: Simplify (* 1 1) into 1 28.829 * [backup-simplify]: Simplify (/ 1 1) into 1 28.829 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 28.829 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 28.829 * [taylor]: Taking taylor expansion of 1/2 in x 28.829 * [backup-simplify]: Simplify 1/2 into 1/2 28.829 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 28.829 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 28.829 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 28.829 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 28.829 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.829 * [taylor]: Taking taylor expansion of 1 in x 28.829 * [backup-simplify]: Simplify 1 into 1 28.829 * [taylor]: Taking taylor expansion of 1 in x 28.829 * [backup-simplify]: Simplify 1 into 1 28.829 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 28.829 * [taylor]: Taking taylor expansion of (/ -1 x) in x 28.829 * [taylor]: Taking taylor expansion of -1 in x 28.829 * [backup-simplify]: Simplify -1 into -1 28.829 * [taylor]: Taking taylor expansion of x in x 28.829 * [backup-simplify]: Simplify 0 into 0 28.829 * [backup-simplify]: Simplify 1 into 1 28.830 * [backup-simplify]: Simplify (/ -1 1) into -1 28.830 * [taylor]: Taking taylor expansion of (/ -1 x) in x 28.830 * [taylor]: Taking taylor expansion of -1 in x 28.830 * [backup-simplify]: Simplify -1 into -1 28.830 * [taylor]: Taking taylor expansion of x in x 28.830 * [backup-simplify]: Simplify 0 into 0 28.830 * [backup-simplify]: Simplify 1 into 1 28.830 * [backup-simplify]: Simplify (/ -1 1) into -1 28.831 * [backup-simplify]: Simplify (* -1 -1) into 1 28.831 * [backup-simplify]: Simplify (+ 0 1) into 1 28.832 * [backup-simplify]: Simplify (sqrt 1) into 1 28.832 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 28.833 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 28.834 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 28.834 * [backup-simplify]: Simplify (+ 0 0) into 0 28.835 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.836 * [backup-simplify]: Simplify (/ 1 1) into 1 28.836 * [taylor]: Taking taylor expansion of 1/2 in x 28.836 * [backup-simplify]: Simplify 1/2 into 1/2 28.836 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 28.836 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 28.837 * [backup-simplify]: Simplify (/ 1/4 1/2) into 1/2 28.837 * [backup-simplify]: Simplify 1/2 into 1/2 28.837 * [backup-simplify]: Simplify (+ 0 0) into 0 28.838 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 28.838 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 28.839 * [backup-simplify]: Simplify (- (/ 0 1/2) (+ (* 1/2 (/ 1/2 1/2)))) into -1/2 28.839 * [backup-simplify]: Simplify -1/2 into -1/2 28.840 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 28.840 * [backup-simplify]: Simplify (- 1/4) into -1/4 28.840 * [backup-simplify]: Simplify (+ 0 -1/4) into -1/4 28.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.842 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 28.842 * [backup-simplify]: Simplify (+ 0 0) into 0 28.844 * [backup-simplify]: Simplify (- (/ -1/4 1/2) (+ (* 1/2 (/ 0 1/2)) (* -1/2 (/ 1/2 1/2)))) into 0 28.844 * [backup-simplify]: Simplify 0 into 0 28.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.847 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 28.847 * [backup-simplify]: Simplify (- 0) into 0 28.848 * [backup-simplify]: Simplify (+ 0 0) into 0 28.848 * [backup-simplify]: Simplify (* 1 1) into 1 28.849 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.850 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.851 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 28.851 * [backup-simplify]: Simplify (+ 1 0) into 1 28.852 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 28.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 28.855 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 28.855 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 28.857 * [backup-simplify]: Simplify (- (/ 0 1/2) (+ (* 1/2 (/ -1/4 1/2)) (* -1/2 (/ 0 1/2)) (* 0 (/ 1/2 1/2)))) into 1/4 28.857 * [backup-simplify]: Simplify 1/4 into 1/4 28.857 * [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)))) 28.857 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 28.858 * [backup-simplify]: Simplify (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) 28.858 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in (x) around 0 28.858 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 28.858 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 28.858 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 28.858 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 28.858 * [taylor]: Taking taylor expansion of 1/2 in x 28.858 * [backup-simplify]: Simplify 1/2 into 1/2 28.858 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 28.858 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 28.858 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 28.858 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 28.858 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.858 * [taylor]: Taking taylor expansion of 1 in x 28.858 * [backup-simplify]: Simplify 1 into 1 28.858 * [taylor]: Taking taylor expansion of 1 in x 28.858 * [backup-simplify]: Simplify 1 into 1 28.858 * [taylor]: Taking taylor expansion of (* x x) in x 28.858 * [taylor]: Taking taylor expansion of x in x 28.858 * [backup-simplify]: Simplify 0 into 0 28.858 * [backup-simplify]: Simplify 1 into 1 28.858 * [taylor]: Taking taylor expansion of x in x 28.858 * [backup-simplify]: Simplify 0 into 0 28.859 * [backup-simplify]: Simplify 1 into 1 28.859 * [backup-simplify]: Simplify (* 1 1) into 1 28.859 * [backup-simplify]: Simplify (* 0 0) into 0 28.860 * [backup-simplify]: Simplify (+ 1 0) into 1 28.860 * [backup-simplify]: Simplify (sqrt 1) into 1 28.861 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.862 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 28.862 * [backup-simplify]: Simplify (+ 0 0) into 0 28.863 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.863 * [backup-simplify]: Simplify (/ 1 1) into 1 28.863 * [taylor]: Taking taylor expansion of 1/2 in x 28.863 * [backup-simplify]: Simplify 1/2 into 1/2 28.864 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 28.864 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 28.864 * [backup-simplify]: Simplify (sqrt 1) into 1 28.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.866 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 28.866 * [backup-simplify]: Simplify (+ 0 0) into 0 28.867 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.867 * [taylor]: Taking taylor expansion of 1 in x 28.867 * [backup-simplify]: Simplify 1 into 1 28.867 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 28.867 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 28.867 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 28.867 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 28.867 * [taylor]: Taking taylor expansion of 1/2 in x 28.867 * [backup-simplify]: Simplify 1/2 into 1/2 28.867 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 28.867 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 28.867 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 28.867 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 28.867 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.867 * [taylor]: Taking taylor expansion of 1 in x 28.867 * [backup-simplify]: Simplify 1 into 1 28.867 * [taylor]: Taking taylor expansion of 1 in x 28.868 * [backup-simplify]: Simplify 1 into 1 28.868 * [taylor]: Taking taylor expansion of (* x x) in x 28.868 * [taylor]: Taking taylor expansion of x in x 28.868 * [backup-simplify]: Simplify 0 into 0 28.868 * [backup-simplify]: Simplify 1 into 1 28.868 * [taylor]: Taking taylor expansion of x in x 28.868 * [backup-simplify]: Simplify 0 into 0 28.868 * [backup-simplify]: Simplify 1 into 1 28.868 * [backup-simplify]: Simplify (* 1 1) into 1 28.868 * [backup-simplify]: Simplify (* 0 0) into 0 28.869 * [backup-simplify]: Simplify (+ 1 0) into 1 28.869 * [backup-simplify]: Simplify (sqrt 1) into 1 28.870 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.871 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 28.871 * [backup-simplify]: Simplify (+ 0 0) into 0 28.872 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.872 * [backup-simplify]: Simplify (/ 1 1) into 1 28.872 * [taylor]: Taking taylor expansion of 1/2 in x 28.872 * [backup-simplify]: Simplify 1/2 into 1/2 28.873 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 28.873 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 28.873 * [backup-simplify]: Simplify (sqrt 1) into 1 28.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.875 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 28.875 * [backup-simplify]: Simplify (+ 0 0) into 0 28.876 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.876 * [taylor]: Taking taylor expansion of 1 in x 28.876 * [backup-simplify]: Simplify 1 into 1 28.876 * [backup-simplify]: Simplify (+ 1 1) into 2 28.876 * [backup-simplify]: Simplify 2 into 2 28.877 * [backup-simplify]: Simplify (+ 0 0) into 0 28.877 * [backup-simplify]: Simplify 0 into 0 28.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 28.879 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 28.879 * [backup-simplify]: Simplify (+ 0 1) into 1 28.880 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 28.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 28.883 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 28.883 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 28.885 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 28.885 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 28.885 * [backup-simplify]: Simplify -1/8 into -1/8 28.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 28.887 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 28.888 * [backup-simplify]: Simplify (+ 0 0) into 0 28.889 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 28.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 28.892 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 28.893 * [backup-simplify]: Simplify (+ 0 0) into 0 28.894 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 28.894 * [backup-simplify]: Simplify (+ 0 0) into 0 28.894 * [backup-simplify]: Simplify 0 into 0 28.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 28.897 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 28.897 * [backup-simplify]: Simplify (+ 0 0) into 0 28.898 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 28.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 28.902 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 28.903 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 28.904 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 28.905 * [backup-simplify]: Simplify (+ 11/128 0) into 11/128 28.905 * [backup-simplify]: Simplify 11/128 into 11/128 28.905 * [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))) 28.905 * [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) 28.905 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in (x) around 0 28.905 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 28.905 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 28.905 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 28.905 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 28.905 * [taylor]: Taking taylor expansion of 1/2 in x 28.905 * [backup-simplify]: Simplify 1/2 into 1/2 28.905 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 28.905 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 28.906 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 28.906 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 28.906 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.906 * [taylor]: Taking taylor expansion of 1 in x 28.906 * [backup-simplify]: Simplify 1 into 1 28.906 * [taylor]: Taking taylor expansion of 1 in x 28.906 * [backup-simplify]: Simplify 1 into 1 28.906 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 28.906 * [taylor]: Taking taylor expansion of (/ 1 x) in x 28.906 * [taylor]: Taking taylor expansion of x in x 28.906 * [backup-simplify]: Simplify 0 into 0 28.906 * [backup-simplify]: Simplify 1 into 1 28.906 * [backup-simplify]: Simplify (/ 1 1) into 1 28.906 * [taylor]: Taking taylor expansion of (/ 1 x) in x 28.906 * [taylor]: Taking taylor expansion of x in x 28.906 * [backup-simplify]: Simplify 0 into 0 28.906 * [backup-simplify]: Simplify 1 into 1 28.907 * [backup-simplify]: Simplify (/ 1 1) into 1 28.907 * [backup-simplify]: Simplify (* 1 1) into 1 28.908 * [backup-simplify]: Simplify (+ 0 1) into 1 28.908 * [backup-simplify]: Simplify (sqrt 1) into 1 28.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.910 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.911 * [backup-simplify]: Simplify (+ 0 0) into 0 28.917 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.918 * [backup-simplify]: Simplify (/ 1 1) into 1 28.918 * [taylor]: Taking taylor expansion of 1/2 in x 28.918 * [backup-simplify]: Simplify 1/2 into 1/2 28.919 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 28.919 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 28.919 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 28.920 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 28.922 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 28.922 * [taylor]: Taking taylor expansion of 1 in x 28.922 * [backup-simplify]: Simplify 1 into 1 28.922 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 28.922 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 28.922 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 28.922 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 28.922 * [taylor]: Taking taylor expansion of 1/2 in x 28.922 * [backup-simplify]: Simplify 1/2 into 1/2 28.922 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 28.922 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 28.922 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 28.922 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 28.922 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.922 * [taylor]: Taking taylor expansion of 1 in x 28.922 * [backup-simplify]: Simplify 1 into 1 28.922 * [taylor]: Taking taylor expansion of 1 in x 28.922 * [backup-simplify]: Simplify 1 into 1 28.922 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 28.922 * [taylor]: Taking taylor expansion of (/ 1 x) in x 28.922 * [taylor]: Taking taylor expansion of x in x 28.922 * [backup-simplify]: Simplify 0 into 0 28.922 * [backup-simplify]: Simplify 1 into 1 28.923 * [backup-simplify]: Simplify (/ 1 1) into 1 28.923 * [taylor]: Taking taylor expansion of (/ 1 x) in x 28.923 * [taylor]: Taking taylor expansion of x in x 28.923 * [backup-simplify]: Simplify 0 into 0 28.923 * [backup-simplify]: Simplify 1 into 1 28.923 * [backup-simplify]: Simplify (/ 1 1) into 1 28.923 * [backup-simplify]: Simplify (* 1 1) into 1 28.924 * [backup-simplify]: Simplify (+ 0 1) into 1 28.924 * [backup-simplify]: Simplify (sqrt 1) into 1 28.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.926 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.927 * [backup-simplify]: Simplify (+ 0 0) into 0 28.927 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.928 * [backup-simplify]: Simplify (/ 1 1) into 1 28.928 * [taylor]: Taking taylor expansion of 1/2 in x 28.928 * [backup-simplify]: Simplify 1/2 into 1/2 28.928 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 28.929 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 28.929 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 28.930 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 28.931 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 28.931 * [taylor]: Taking taylor expansion of 1 in x 28.931 * [backup-simplify]: Simplify 1 into 1 28.932 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 28.933 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 28.935 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 28.937 * [backup-simplify]: Simplify (* 1/4 (/ 1 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 28.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.938 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 28.938 * [backup-simplify]: Simplify (+ 0 0) into 0 28.942 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 28.944 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 28.946 * [backup-simplify]: Simplify (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 28.949 * [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))))) 28.950 * [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) 28.950 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in (x) around 0 28.950 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 28.950 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 28.950 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 28.950 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 28.950 * [taylor]: Taking taylor expansion of 1/2 in x 28.950 * [backup-simplify]: Simplify 1/2 into 1/2 28.950 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 28.950 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 28.950 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 28.950 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 28.950 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.950 * [taylor]: Taking taylor expansion of 1 in x 28.950 * [backup-simplify]: Simplify 1 into 1 28.950 * [taylor]: Taking taylor expansion of 1 in x 28.950 * [backup-simplify]: Simplify 1 into 1 28.950 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 28.950 * [taylor]: Taking taylor expansion of (/ -1 x) in x 28.950 * [taylor]: Taking taylor expansion of -1 in x 28.950 * [backup-simplify]: Simplify -1 into -1 28.950 * [taylor]: Taking taylor expansion of x in x 28.950 * [backup-simplify]: Simplify 0 into 0 28.950 * [backup-simplify]: Simplify 1 into 1 28.950 * [backup-simplify]: Simplify (/ -1 1) into -1 28.950 * [taylor]: Taking taylor expansion of (/ -1 x) in x 28.950 * [taylor]: Taking taylor expansion of -1 in x 28.950 * [backup-simplify]: Simplify -1 into -1 28.950 * [taylor]: Taking taylor expansion of x in x 28.950 * [backup-simplify]: Simplify 0 into 0 28.950 * [backup-simplify]: Simplify 1 into 1 28.951 * [backup-simplify]: Simplify (/ -1 1) into -1 28.951 * [backup-simplify]: Simplify (* -1 -1) into 1 28.951 * [backup-simplify]: Simplify (+ 0 1) into 1 28.951 * [backup-simplify]: Simplify (sqrt 1) into 1 28.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 28.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 28.953 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 28.953 * [backup-simplify]: Simplify (+ 0 0) into 0 28.954 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.954 * [backup-simplify]: Simplify (/ 1 1) into 1 28.954 * [taylor]: Taking taylor expansion of 1/2 in x 28.954 * [backup-simplify]: Simplify 1/2 into 1/2 28.954 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 28.954 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 28.955 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 28.955 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 28.956 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 28.956 * [taylor]: Taking taylor expansion of 1 in x 28.956 * [backup-simplify]: Simplify 1 into 1 28.956 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 28.956 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 28.956 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 28.956 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 28.956 * [taylor]: Taking taylor expansion of 1/2 in x 28.956 * [backup-simplify]: Simplify 1/2 into 1/2 28.956 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 28.956 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 28.956 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 28.956 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 28.956 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.956 * [taylor]: Taking taylor expansion of 1 in x 28.956 * [backup-simplify]: Simplify 1 into 1 28.956 * [taylor]: Taking taylor expansion of 1 in x 28.956 * [backup-simplify]: Simplify 1 into 1 28.956 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 28.956 * [taylor]: Taking taylor expansion of (/ -1 x) in x 28.956 * [taylor]: Taking taylor expansion of -1 in x 28.956 * [backup-simplify]: Simplify -1 into -1 28.956 * [taylor]: Taking taylor expansion of x in x 28.956 * [backup-simplify]: Simplify 0 into 0 28.956 * [backup-simplify]: Simplify 1 into 1 28.957 * [backup-simplify]: Simplify (/ -1 1) into -1 28.957 * [taylor]: Taking taylor expansion of (/ -1 x) in x 28.957 * [taylor]: Taking taylor expansion of -1 in x 28.957 * [backup-simplify]: Simplify -1 into -1 28.957 * [taylor]: Taking taylor expansion of x in x 28.957 * [backup-simplify]: Simplify 0 into 0 28.957 * [backup-simplify]: Simplify 1 into 1 28.957 * [backup-simplify]: Simplify (/ -1 1) into -1 28.957 * [backup-simplify]: Simplify (* -1 -1) into 1 28.958 * [backup-simplify]: Simplify (+ 0 1) into 1 28.958 * [backup-simplify]: Simplify (sqrt 1) into 1 28.958 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 28.959 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 28.959 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 28.960 * [backup-simplify]: Simplify (+ 0 0) into 0 28.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.960 * [backup-simplify]: Simplify (/ 1 1) into 1 28.960 * [taylor]: Taking taylor expansion of 1/2 in x 28.960 * [backup-simplify]: Simplify 1/2 into 1/2 28.961 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 28.961 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 28.961 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 28.961 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 28.962 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 28.962 * [taylor]: Taking taylor expansion of 1 in x 28.962 * [backup-simplify]: Simplify 1 into 1 28.963 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 28.964 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 28.964 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 28.965 * [backup-simplify]: Simplify (* 1/4 (/ 1 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 28.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.966 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 28.967 * [backup-simplify]: Simplify (+ 0 0) into 0 28.970 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 28.972 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 28.974 * [backup-simplify]: Simplify (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 28.977 * [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)))))) 28.977 * * * [progress]: simplifying candidates 28.978 * * * * [progress]: [ 1 / 164 ] simplifiying candidate # 28.978 * * * * [progress]: [ 2 / 164 ] simplifiying candidate # 28.978 * * * * [progress]: [ 3 / 164 ] simplifiying candidate # 28.978 * * * * [progress]: [ 4 / 164 ] simplifiying candidate # 28.978 * * * * [progress]: [ 5 / 164 ] simplifiying candidate # 28.978 * * * * [progress]: [ 6 / 164 ] simplifiying candidate # 28.978 * * * * [progress]: [ 7 / 164 ] simplifiying candidate # 28.978 * * * * [progress]: [ 8 / 164 ] simplifiying candidate # 28.978 * * * * [progress]: [ 9 / 164 ] simplifiying candidate # 28.978 * * * * [progress]: [ 10 / 164 ] simplifiying candidate # 28.978 * * * * [progress]: [ 11 / 164 ] simplifiying candidate # 28.978 * * * * [progress]: [ 12 / 164 ] simplifiying candidate # 28.978 * * * * [progress]: [ 13 / 164 ] simplifiying candidate # 28.978 * * * * [progress]: [ 14 / 164 ] simplifiying candidate # 28.978 * * * * [progress]: [ 15 / 164 ] simplifiying candidate # 28.979 * * * * [progress]: [ 16 / 164 ] simplifiying candidate # 28.979 * * * * [progress]: [ 17 / 164 ] simplifiying candidate # 28.979 * * * * [progress]: [ 18 / 164 ] simplifiying candidate #real (real->posit16 (- (* 1/2 1/2) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))> 28.979 * * * * [progress]: [ 19 / 164 ] simplifiying candidate # 28.979 * * * * [progress]: [ 20 / 164 ] simplifiying candidate # 28.979 * * * * [progress]: [ 21 / 164 ] simplifiying candidate # 28.979 * * * * [progress]: [ 22 / 164 ] simplifiying candidate # 28.979 * * * * [progress]: [ 23 / 164 ] simplifiying candidate # 28.979 * * * * [progress]: [ 24 / 164 ] simplifiying candidate # 28.979 * * * * [progress]: [ 25 / 164 ] simplifiying candidate # 28.979 * * * * [progress]: [ 26 / 164 ] simplifiying candidate # 28.979 * * * * [progress]: [ 27 / 164 ] simplifiying candidate # 28.979 * * * * [progress]: [ 28 / 164 ] simplifiying candidate # 28.979 * * * * [progress]: [ 29 / 164 ] simplifiying candidate # 28.979 * * * * [progress]: [ 30 / 164 ] simplifiying candidate # 28.979 * * * * [progress]: [ 31 / 164 ] simplifiying candidate # 28.979 * * * * [progress]: [ 32 / 164 ] simplifiying candidate # 28.979 * * * * [progress]: [ 33 / 164 ] simplifiying candidate # 28.979 * * * * [progress]: [ 34 / 164 ] simplifiying candidate # 28.979 * * * * [progress]: [ 35 / 164 ] simplifiying candidate # 28.979 * * * * [progress]: [ 36 / 164 ] simplifiying candidate # 28.980 * * * * [progress]: [ 37 / 164 ] simplifiying candidate # 28.980 * * * * [progress]: [ 38 / 164 ] simplifiying candidate # 28.980 * * * * [progress]: [ 39 / 164 ] simplifiying candidate # 28.980 * * * * [progress]: [ 40 / 164 ] simplifiying candidate # 28.980 * * * * [progress]: [ 41 / 164 ] simplifiying candidate # 28.980 * * * * [progress]: [ 42 / 164 ] simplifiying candidate # 28.980 * * * * [progress]: [ 43 / 164 ] simplifiying candidate # 28.980 * * * * [progress]: [ 44 / 164 ] simplifiying candidate # 28.980 * * * * [progress]: [ 45 / 164 ] simplifiying candidate # 28.980 * * * * [progress]: [ 46 / 164 ] simplifiying candidate # 28.980 * * * * [progress]: [ 47 / 164 ] simplifiying candidate # 28.980 * * * * [progress]: [ 48 / 164 ] simplifiying candidate # 28.980 * * * * [progress]: [ 49 / 164 ] simplifiying candidate # 28.980 * * * * [progress]: [ 50 / 164 ] simplifiying candidate # 28.980 * * * * [progress]: [ 51 / 164 ] simplifiying candidate # 28.980 * * * * [progress]: [ 52 / 164 ] simplifiying candidate # 28.980 * * * * [progress]: [ 53 / 164 ] simplifiying candidate # 28.980 * * * * [progress]: [ 54 / 164 ] simplifiying candidate # 28.980 * * * * [progress]: [ 55 / 164 ] simplifiying candidate # 28.981 * * * * [progress]: [ 56 / 164 ] simplifiying candidate # 28.981 * * * * [progress]: [ 57 / 164 ] simplifiying candidate # 28.981 * * * * [progress]: [ 58 / 164 ] simplifiying candidate # 28.981 * * * * [progress]: [ 59 / 164 ] simplifiying candidate # 28.981 * * * * [progress]: [ 60 / 164 ] simplifiying candidate # 28.981 * * * * [progress]: [ 61 / 164 ] simplifiying candidate # 28.981 * * * * [progress]: [ 62 / 164 ] simplifiying candidate # 28.981 * * * * [progress]: [ 63 / 164 ] simplifiying candidate # 28.981 * * * * [progress]: [ 64 / 164 ] simplifiying candidate # 28.981 * * * * [progress]: [ 65 / 164 ] simplifiying candidate # 28.981 * * * * [progress]: [ 66 / 164 ] simplifiying candidate # 28.981 * * * * [progress]: [ 67 / 164 ] simplifiying candidate # 28.981 * * * * [progress]: [ 68 / 164 ] simplifiying candidate # 28.981 * * * * [progress]: [ 69 / 164 ] simplifiying candidate # 28.981 * * * * [progress]: [ 70 / 164 ] simplifiying candidate # 28.981 * * * * [progress]: [ 71 / 164 ] simplifiying candidate # 28.981 * * * * [progress]: [ 72 / 164 ] simplifiying candidate # 28.981 * * * * [progress]: [ 73 / 164 ] simplifiying candidate # 28.981 * * * * [progress]: [ 74 / 164 ] simplifiying candidate # 28.981 * * * * [progress]: [ 75 / 164 ] simplifiying candidate # 28.981 * * * * [progress]: [ 76 / 164 ] simplifiying candidate # 28.982 * * * * [progress]: [ 77 / 164 ] simplifiying candidate # 28.982 * * * * [progress]: [ 78 / 164 ] simplifiying candidate # 28.982 * * * * [progress]: [ 79 / 164 ] simplifiying candidate # 28.982 * * * * [progress]: [ 80 / 164 ] simplifiying candidate # 28.982 * * * * [progress]: [ 81 / 164 ] simplifiying candidate # 28.982 * * * * [progress]: [ 82 / 164 ] simplifiying candidate # 28.982 * * * * [progress]: [ 83 / 164 ] simplifiying candidate # 28.982 * * * * [progress]: [ 84 / 164 ] simplifiying candidate # 28.982 * * * * [progress]: [ 85 / 164 ] simplifiying candidate # 28.982 * * * * [progress]: [ 86 / 164 ] simplifiying candidate # 28.982 * * * * [progress]: [ 87 / 164 ] simplifiying candidate #real (real->posit16 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))> 28.982 * * * * [progress]: [ 88 / 164 ] simplifiying candidate # 28.982 * * * * [progress]: [ 89 / 164 ] simplifiying candidate # 28.982 * * * * [progress]: [ 90 / 164 ] simplifiying candidate # 28.982 * * * * [progress]: [ 91 / 164 ] simplifiying candidate # 28.982 * * * * [progress]: [ 92 / 164 ] simplifiying candidate # 28.982 * * * * [progress]: [ 93 / 164 ] simplifiying candidate # 28.982 * * * * [progress]: [ 94 / 164 ] simplifiying candidate # 28.982 * * * * [progress]: [ 95 / 164 ] simplifiying candidate # 28.982 * * * * [progress]: [ 96 / 164 ] simplifiying candidate # 28.983 * * * * [progress]: [ 97 / 164 ] simplifiying candidate # 28.983 * * * * [progress]: [ 98 / 164 ] simplifiying candidate # 28.983 * * * * [progress]: [ 99 / 164 ] simplifiying candidate # 28.983 * * * * [progress]: [ 100 / 164 ] simplifiying candidate # 28.983 * * * * [progress]: [ 101 / 164 ] simplifiying candidate # 28.983 * * * * [progress]: [ 102 / 164 ] simplifiying candidate # 28.983 * * * * [progress]: [ 103 / 164 ] simplifiying candidate # 28.983 * * * * [progress]: [ 104 / 164 ] simplifiying candidate # 28.983 * * * * [progress]: [ 105 / 164 ] simplifiying candidate # 28.983 * * * * [progress]: [ 106 / 164 ] simplifiying candidate # 28.983 * * * * [progress]: [ 107 / 164 ] simplifiying candidate # 28.983 * * * * [progress]: [ 108 / 164 ] simplifiying candidate # 28.983 * * * * [progress]: [ 109 / 164 ] simplifiying candidate # 28.983 * * * * [progress]: [ 110 / 164 ] simplifiying candidate # 28.983 * * * * [progress]: [ 111 / 164 ] simplifiying candidate # 28.983 * * * * [progress]: [ 112 / 164 ] simplifiying candidate # 28.983 * * * * [progress]: [ 113 / 164 ] simplifiying candidate # 28.983 * * * * [progress]: [ 114 / 164 ] simplifiying candidate # 28.983 * * * * [progress]: [ 115 / 164 ] simplifiying candidate # 28.983 * * * * [progress]: [ 116 / 164 ] simplifiying candidate # 28.983 * * * * [progress]: [ 117 / 164 ] simplifiying candidate # 28.984 * * * * [progress]: [ 118 / 164 ] simplifiying candidate # 28.984 * * * * [progress]: [ 119 / 164 ] simplifiying candidate # 28.984 * * * * [progress]: [ 120 / 164 ] simplifiying candidate # 28.984 * * * * [progress]: [ 121 / 164 ] simplifiying candidate # 28.984 * * * * [progress]: [ 122 / 164 ] simplifiying candidate # 28.984 * * * * [progress]: [ 123 / 164 ] simplifiying candidate # 28.984 * * * * [progress]: [ 124 / 164 ] simplifiying candidate # 28.984 * * * * [progress]: [ 125 / 164 ] simplifiying candidate # 28.984 * * * * [progress]: [ 126 / 164 ] simplifiying candidate # 28.984 * * * * [progress]: [ 127 / 164 ] simplifiying candidate # 28.984 * * * * [progress]: [ 128 / 164 ] simplifiying candidate # 28.984 * * * * [progress]: [ 129 / 164 ] simplifiying candidate # 28.984 * * * * [progress]: [ 130 / 164 ] simplifiying candidate # 28.984 * * * * [progress]: [ 131 / 164 ] simplifiying candidate # 28.984 * * * * [progress]: [ 132 / 164 ] simplifiying candidate #real (real->posit16 (/ (- (* 1/2 1/2) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))> 28.984 * * * * [progress]: [ 133 / 164 ] simplifiying candidate # 28.984 * * * * [progress]: [ 134 / 164 ] simplifiying candidate # 28.984 * * * * [progress]: [ 135 / 164 ] simplifiying candidate # 28.984 * * * * [progress]: [ 136 / 164 ] simplifiying candidate # 28.984 * * * * [progress]: [ 137 / 164 ] simplifiying candidate # 28.984 * * * * [progress]: [ 138 / 164 ] simplifiying candidate # 28.984 * * * * [progress]: [ 139 / 164 ] simplifiying candidate # 28.985 * * * * [progress]: [ 140 / 164 ] simplifiying candidate # 28.985 * * * * [progress]: [ 141 / 164 ] simplifiying candidate # 28.985 * * * * [progress]: [ 142 / 164 ] simplifiying candidate # 28.985 * * * * [progress]: [ 143 / 164 ] simplifiying candidate # 28.985 * * * * [progress]: [ 144 / 164 ] simplifiying candidate # 28.985 * * * * [progress]: [ 145 / 164 ] simplifiying candidate # 28.985 * * * * [progress]: [ 146 / 164 ] simplifiying candidate # 28.985 * * * * [progress]: [ 147 / 164 ] simplifiying candidate # 28.985 * * * * [progress]: [ 148 / 164 ] simplifiying candidate # 28.985 * * * * [progress]: [ 149 / 164 ] simplifiying candidate # 28.985 * * * * [progress]: [ 150 / 164 ] simplifiying candidate # 28.985 * * * * [progress]: [ 151 / 164 ] simplifiying candidate #real (real->posit16 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))> 28.985 * * * * [progress]: [ 152 / 164 ] simplifiying candidate # 28.985 * * * * [progress]: [ 153 / 164 ] simplifiying candidate # 28.985 * * * * [progress]: [ 154 / 164 ] simplifiying candidate # 28.985 * * * * [progress]: [ 155 / 164 ] simplifiying candidate # 28.985 * * * * [progress]: [ 156 / 164 ] simplifiying candidate # 28.985 * * * * [progress]: [ 157 / 164 ] simplifiying candidate # 28.985 * * * * [progress]: [ 158 / 164 ] simplifiying candidate # 28.985 * * * * [progress]: [ 159 / 164 ] simplifiying candidate # 28.985 * * * * [progress]: [ 160 / 164 ] simplifiying candidate # 28.985 * * * * [progress]: [ 161 / 164 ] simplifiying candidate # 28.985 * * * * [progress]: [ 162 / 164 ] simplifiying candidate # 28.986 * * * * [progress]: [ 163 / 164 ] simplifiying candidate # 28.986 * * * * [progress]: [ 164 / 164 ] simplifiying candidate # 28.988 * [simplify]: Simplifying: (fma 1/2 1/2 (- (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))))) (fma (- (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (expm1 (- (* 1/2 1/2) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))))) (log1p (- (* 1/2 1/2) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))))) (- (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (/ (exp (* 1/2 1/2)) (exp (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))))) (log (- (* 1/2 1/2) (* (/ 1/2 (hypot 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1/4 (/ 1 (pow x 2)))) (- (+ (* 1/4 (/ 1 (pow x 4))) 1/4) (* 1/4 (/ 1 (pow x 2)))) (- (+ (* 1/4 (pow x 4)) 1/4) (* 1/4 (pow x 2))) (- (+ (* 1/4 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))) (* 1/4 (/ 1 (pow x 4)))) (- (+ (* 1/4 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))) (* 1/4 (/ 1 (pow x 4)))) (- (+ (* 1/4 (pow x 2)) (* 5/32 (pow x 6))) (* 3/16 (pow x 4))) (- (+ (* 1/4 (/ 1 (pow x 3))) 1/2) (* 1/2 (/ 1 x))) (- (+ (* 1/2 (/ 1 x)) 1/2) (* 1/4 (/ 1 (pow x 3)))) (- (+ (* 11/128 (pow x 4)) 2) (* 1/8 (pow x 2))) (- (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (+ (sqrt 1/2) 1)) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) (- (+ (sqrt 1/2) 1) (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (* x (sqrt 1/2)))))) 28.991 * * [simplify]: iteration 1: (279 enodes) 29.201 * * [simplify]: iteration 2: (853 enodes) 31.888 * * [simplify]: Extracting #0: cost 136 inf + 0 31.891 * * [simplify]: Extracting #1: cost 684 inf + 4 31.901 * * [simplify]: Extracting #2: cost 952 inf + 1552 31.911 * * [simplify]: Extracting #3: cost 861 inf + 15658 31.935 * * [simplify]: Extracting #4: cost 623 inf + 60388 31.988 * * [simplify]: Extracting #5: cost 287 inf + 145673 32.067 * * [simplify]: Extracting #6: cost 53 inf + 211908 32.148 * * [simplify]: Extracting #7: cost 0 inf + 227375 32.194 * * [simplify]: Extracting #8: cost 0 inf + 227335 32.267 * [simplify]: Simplified to: (- 1/4 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (- (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))))) (expm1 (- 1/4 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))))) (log1p (- 1/4 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))))) (- (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (exp (- 1/4 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))))) (log (- 1/4 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))))) (exp (- 1/4 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))))) (* (cbrt (- 1/4 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))))) (cbrt (- 1/4 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))))) (cbrt (- 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(/ 1/2 (hypot 1 x)) 1/2)) 1)) (fma (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1) (+ 1 (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- 1/2 (/ 1/2 (hypot 1 x))) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1) (real->posit16 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (* 1/4 (- (+ (* (* x x) (* (* x x) (* x x))) (* x x)) (* (* x x) (* x x)))) (+ (- 1/4 (/ 1/4 (* x x))) (/ (/ 1/4 (* x x)) (* x x))) (+ (- 1/4 (/ 1/4 (* x x))) (/ (/ 1/4 (* x x)) (* x x))) (fma 1/4 (* (* x x) (* x x)) (- 1/4 (* 1/4 (* x x)))) (- (+ (/ 1/4 (* x x)) (/ 1/4 (* (* x x) (* (* x x) (* x x))))) (/ (/ 1/4 (* x x)) (* x x))) (- (+ (/ 1/4 (* x x)) (/ 1/4 (* (* x x) (* (* x x) (* x x))))) (/ (/ 1/4 (* x x)) (* x x))) (fma (* x x) 1/4 (fma 5/32 (* (* x x) (* (* x x) (* x x))) (* (* (* x x) (* x x)) -3/16))) (+ (- 1/2 (/ 1/2 x)) (/ (/ 1/4 (* x x)) x)) (- (+ (/ 1/2 x) 1/2) (/ (/ 1/4 (* x x)) x)) (+ (fma 11/128 (* (* x x) (* x x)) 2) (* (* x x) -1/8)) (+ (+ 1 (sqrt 1/2)) (+ (/ (/ 1/4 x) (sqrt 1/2)) (/ -1/32 (* (* x x) (* 1/2 (sqrt 1/2)))))) (- (+ (+ 1 (sqrt 1/2)) (/ -1/32 (* (* x x) (* 1/2 (sqrt 1/2))))) (/ (/ 1/4 x) (sqrt 1/2))) 32.286 * * * [progress]: adding candidates to table 34.162 * [progress]: [Phase 3 of 3] Extracting. 34.163 * * [regime]: Finding splitpoints for: (# # #) 34.164 * * * [regime-changes]: Trying 2 branch expressions: ((hypot 1 x) x) 34.164 * * * * [regimes]: Trying to branch on (hypot 1 x) from (# # #) 34.216 * * * * [regimes]: Trying to branch on (hypot 1 x) from (# #) 34.260 * * * * [regimes]: Trying to branch on x from (# # #) 34.324 * * * [regime]: Found split indices: #