46.284 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.088 * * * [progress]: [2/2] Setting up program. 0.092 * [progress]: [Phase 2 of 3] Improving. 0.092 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.093 * [simplify]: Simplifying: (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (hypot 1 x)))))) 0.093 * * [simplify]: iteration 1: (9 enodes) 0.097 * * [simplify]: iteration 2: (21 enodes) 0.103 * * [simplify]: iteration 3: (25 enodes) 0.108 * * [simplify]: iteration 4: (27 enodes) 0.114 * * [simplify]: Extracting #0: cost 1 inf + 0 0.114 * * [simplify]: Extracting #1: cost 4 inf + 0 0.114 * * [simplify]: Extracting #2: cost 4 inf + 1 0.114 * * [simplify]: Extracting #3: cost 8 inf + 1 0.114 * * [simplify]: Extracting #4: cost 8 inf + 2 0.114 * * [simplify]: Extracting #5: cost 9 inf + 2 0.114 * * [simplify]: Extracting #6: cost 8 inf + 3 0.114 * * [simplify]: Extracting #7: cost 1 inf + 971 0.115 * * [simplify]: Extracting #8: cost 0 inf + 1159 0.115 * * [simplify]: Extracting #9: cost 0 inf + 1144 0.116 * [simplify]: Simplified to: (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 0.126 * * [progress]: iteration 1 / 4 0.127 * * * [progress]: picking best candidate 0.131 * * * * [pick]: Picked # 0.131 * * * [progress]: localizing error 0.161 * * * [progress]: generating rewritten candidates 0.161 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.196 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 0.200 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.214 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.240 * * * [progress]: generating series expansions 0.240 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.240 * [backup-simplify]: Simplify (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) 0.240 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in (x) around 0 0.240 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x 0.240 * [taylor]: Taking taylor expansion of 1 in x 0.240 * [backup-simplify]: Simplify 1 into 1 0.240 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.240 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.240 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.240 * [taylor]: Taking taylor expansion of 1/2 in x 0.240 * [backup-simplify]: Simplify 1/2 into 1/2 0.240 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.240 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.241 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.241 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.241 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.241 * [taylor]: Taking taylor expansion of 1 in x 0.241 * [backup-simplify]: Simplify 1 into 1 0.241 * [taylor]: Taking taylor expansion of 1 in x 0.241 * [backup-simplify]: Simplify 1 into 1 0.241 * [taylor]: Taking taylor expansion of (* x x) in x 0.241 * [taylor]: Taking taylor expansion of x in x 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify 1 into 1 0.241 * [taylor]: Taking taylor expansion of x in x 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify 1 into 1 0.242 * [backup-simplify]: Simplify (* 1 1) into 1 0.242 * [backup-simplify]: Simplify (* 0 0) into 0 0.243 * [backup-simplify]: Simplify (+ 1 0) into 1 0.243 * [backup-simplify]: Simplify (sqrt 1) into 1 0.244 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.244 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.245 * [backup-simplify]: Simplify (+ 0 0) into 0 0.245 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.246 * [backup-simplify]: Simplify (/ 1 1) into 1 0.246 * [taylor]: Taking taylor expansion of 1/2 in x 0.246 * [backup-simplify]: Simplify 1/2 into 1/2 0.246 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.247 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.247 * [backup-simplify]: Simplify (sqrt 1) into 1 0.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.248 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.249 * [backup-simplify]: Simplify (+ 0 0) into 0 0.249 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.250 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x 0.250 * [taylor]: Taking taylor expansion of 1 in x 0.250 * [backup-simplify]: Simplify 1 into 1 0.250 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.250 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.250 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.250 * [taylor]: Taking taylor expansion of 1/2 in x 0.250 * [backup-simplify]: Simplify 1/2 into 1/2 0.250 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.250 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.250 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.250 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.250 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.250 * [taylor]: Taking taylor expansion of 1 in x 0.250 * [backup-simplify]: Simplify 1 into 1 0.250 * [taylor]: Taking taylor expansion of 1 in x 0.250 * [backup-simplify]: Simplify 1 into 1 0.250 * [taylor]: Taking taylor expansion of (* x x) in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 1 into 1 0.250 * [taylor]: Taking taylor expansion of x in x 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 1 into 1 0.251 * [backup-simplify]: Simplify (* 1 1) into 1 0.251 * [backup-simplify]: Simplify (* 0 0) into 0 0.251 * [backup-simplify]: Simplify (+ 1 0) into 1 0.252 * [backup-simplify]: Simplify (sqrt 1) into 1 0.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.253 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) 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 0.255 * [taylor]: Taking taylor expansion of 1/2 in x 0.255 * [backup-simplify]: Simplify 1/2 into 1/2 0.255 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.255 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.256 * [backup-simplify]: Simplify (sqrt 1) into 1 0.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.257 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.258 * [backup-simplify]: Simplify (+ 0 0) into 0 0.258 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.259 * [backup-simplify]: Simplify (- 1) into -1 0.259 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify (- 0) into 0 0.260 * [backup-simplify]: Simplify (+ 0 0) into 0 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.261 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.261 * [backup-simplify]: Simplify (+ 0 1) into 1 0.261 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.263 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.263 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.264 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 0.264 * [backup-simplify]: Simplify (- -1/8) into 1/8 0.264 * [backup-simplify]: Simplify (+ 0 1/8) into 1/8 0.264 * [backup-simplify]: Simplify 1/8 into 1/8 0.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.265 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.266 * [backup-simplify]: Simplify (+ 0 0) into 0 0.266 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 0.268 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 0.268 * [backup-simplify]: Simplify (+ 0 0) into 0 0.269 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 0.269 * [backup-simplify]: Simplify (- 0) into 0 0.269 * [backup-simplify]: Simplify (+ 0 0) into 0 0.269 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.271 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.271 * [backup-simplify]: Simplify (+ 0 0) into 0 0.272 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 0.274 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 0.274 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 0.275 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 0.275 * [backup-simplify]: Simplify (- 11/128) into -11/128 0.275 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 0.275 * [backup-simplify]: Simplify -11/128 into -11/128 0.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.277 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.277 * [backup-simplify]: Simplify (+ 0 0) into 0 0.278 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 0.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 0.281 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 0.281 * [backup-simplify]: Simplify (+ 0 0) into 0 0.282 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 11/128)) (* 2 (* -1/8 0)))) (* 2 1)) into 0 0.282 * [backup-simplify]: Simplify (- 0) into 0 0.283 * [backup-simplify]: Simplify (+ 0 0) into 0 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.285 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.285 * [backup-simplify]: Simplify (+ 0 0) into 0 0.287 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 0.290 * [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 0.292 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 0.293 * [backup-simplify]: Simplify (+ -5/32 0) into -5/32 0.295 * [backup-simplify]: Simplify (/ (- -5/32 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -1/8 11/128)))) (* 2 1)) into -69/1024 0.295 * [backup-simplify]: Simplify (- -69/1024) into 69/1024 0.296 * [backup-simplify]: Simplify (+ 0 69/1024) into 69/1024 0.296 * [backup-simplify]: Simplify 69/1024 into 69/1024 0.296 * [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))) 0.296 * [backup-simplify]: Simplify (- 1 (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) 0.296 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in (x) around 0 0.296 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 0.296 * [taylor]: Taking taylor expansion of 1 in x 0.296 * [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 x in x 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 1 into 1 0.297 * [backup-simplify]: Simplify (/ 1 1) into 1 0.297 * [taylor]: Taking taylor expansion of (/ 1 x) in x 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 0.298 * [backup-simplify]: Simplify (/ 1 1) into 1 0.298 * [backup-simplify]: Simplify (* 1 1) into 1 0.299 * [backup-simplify]: Simplify (+ 0 1) into 1 0.299 * [backup-simplify]: Simplify (sqrt 1) into 1 0.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.302 * [backup-simplify]: Simplify (+ 0 0) into 0 0.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.303 * [backup-simplify]: Simplify (/ 1 1) into 1 0.303 * [taylor]: Taking taylor expansion of 1/2 in x 0.303 * [backup-simplify]: Simplify 1/2 into 1/2 0.303 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.304 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.304 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.305 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.306 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.306 * [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 0.307 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.307 * [taylor]: Taking taylor expansion of 1/2 in x 0.307 * [backup-simplify]: Simplify 1/2 into 1/2 0.307 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.307 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.307 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.307 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.307 * [taylor]: Taking taylor expansion of (* 1 1) 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 1 in x 0.307 * [backup-simplify]: Simplify 1 into 1 0.307 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.307 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.307 * [taylor]: Taking taylor expansion of x in x 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 1 into 1 0.308 * [backup-simplify]: Simplify (/ 1 1) into 1 0.308 * [taylor]: Taking taylor expansion of (/ 1 x) in x 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 0.308 * [backup-simplify]: Simplify (* 1 1) into 1 0.309 * [backup-simplify]: Simplify (+ 0 1) into 1 0.309 * [backup-simplify]: Simplify (sqrt 1) into 1 0.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.312 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.312 * [backup-simplify]: Simplify (+ 0 0) into 0 0.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.313 * [backup-simplify]: Simplify (/ 1 1) into 1 0.313 * [taylor]: Taking taylor expansion of 1/2 in x 0.313 * [backup-simplify]: Simplify 1/2 into 1/2 0.314 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.314 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.314 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.315 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.316 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.317 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 0.319 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/2))) into (- 1 (sqrt 1/2)) 0.320 * [backup-simplify]: Simplify (- 1 (sqrt 1/2)) into (- 1 (sqrt 1/2)) 0.321 * [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)))) 0.327 * [backup-simplify]: Simplify (- (* 1/4 (/ 1 (sqrt 1/2)))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.329 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.329 * [backup-simplify]: Simplify (+ 0 0) into 0 0.334 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.340 * [backup-simplify]: Simplify (- (/ -1/32 (pow (sqrt 1/2) 3))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.343 * [backup-simplify]: Simplify (+ 0 (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.345 * [backup-simplify]: Simplify (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) into (/ 1/32 (pow (sqrt 1/2) 3)) 0.350 * [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))) 0.350 * [backup-simplify]: Simplify (- 1 (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) 0.350 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in (x) around 0 0.350 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 0.351 * [taylor]: Taking taylor expansion of 1 in x 0.351 * [backup-simplify]: Simplify 1 into 1 0.351 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.351 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.351 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.351 * [taylor]: Taking taylor expansion of 1/2 in x 0.351 * [backup-simplify]: Simplify 1/2 into 1/2 0.351 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.351 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.351 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.351 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.351 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.351 * [taylor]: Taking taylor expansion of 1 in x 0.351 * [backup-simplify]: Simplify 1 into 1 0.351 * [taylor]: Taking taylor expansion of 1 in x 0.351 * [backup-simplify]: Simplify 1 into 1 0.351 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.351 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.351 * [taylor]: Taking taylor expansion of -1 in x 0.351 * [backup-simplify]: Simplify -1 into -1 0.351 * [taylor]: Taking taylor expansion of x in x 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify 1 into 1 0.351 * [backup-simplify]: Simplify (/ -1 1) into -1 0.352 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.352 * [taylor]: Taking taylor expansion of -1 in x 0.352 * [backup-simplify]: Simplify -1 into -1 0.352 * [taylor]: Taking taylor expansion of x in x 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify 1 into 1 0.352 * [backup-simplify]: Simplify (/ -1 1) into -1 0.352 * [backup-simplify]: Simplify (* -1 -1) into 1 0.353 * [backup-simplify]: Simplify (+ 0 1) into 1 0.353 * [backup-simplify]: Simplify (sqrt 1) into 1 0.354 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.355 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.355 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.356 * [backup-simplify]: Simplify (+ 0 0) into 0 0.356 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.357 * [backup-simplify]: Simplify (/ 1 1) into 1 0.357 * [taylor]: Taking taylor expansion of 1/2 in x 0.357 * [backup-simplify]: Simplify 1/2 into 1/2 0.357 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.358 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.358 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.359 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.360 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.360 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 0.360 * [taylor]: Taking taylor expansion of 1 in x 0.360 * [backup-simplify]: Simplify 1 into 1 0.360 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.360 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.360 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.360 * [taylor]: Taking taylor expansion of 1/2 in x 0.360 * [backup-simplify]: Simplify 1/2 into 1/2 0.360 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.360 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.360 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.360 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.360 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.360 * [taylor]: Taking taylor expansion of 1 in x 0.361 * [backup-simplify]: Simplify 1 into 1 0.361 * [taylor]: Taking taylor expansion of 1 in x 0.361 * [backup-simplify]: Simplify 1 into 1 0.361 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.361 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.361 * [taylor]: Taking taylor expansion of -1 in x 0.361 * [backup-simplify]: Simplify -1 into -1 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 1 into 1 0.361 * [backup-simplify]: Simplify (/ -1 1) into -1 0.361 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.361 * [taylor]: Taking taylor expansion of -1 in x 0.361 * [backup-simplify]: Simplify -1 into -1 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 1 into 1 0.362 * [backup-simplify]: Simplify (/ -1 1) into -1 0.362 * [backup-simplify]: Simplify (* -1 -1) into 1 0.363 * [backup-simplify]: Simplify (+ 0 1) into 1 0.363 * [backup-simplify]: Simplify (sqrt 1) into 1 0.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.365 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.365 * [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 1) into 1 0.367 * [taylor]: Taking taylor expansion of 1/2 in x 0.367 * [backup-simplify]: Simplify 1/2 into 1/2 0.367 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.368 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.368 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.368 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.370 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.371 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 0.372 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/2))) into (- 1 (sqrt 1/2)) 0.373 * [backup-simplify]: Simplify (- 1 (sqrt 1/2)) into (- 1 (sqrt 1/2)) 0.375 * [backup-simplify]: Simplify (- (/ 1/4 (sqrt 1/2))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.379 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (sqrt 1/2))))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.381 * [backup-simplify]: Simplify (- (* 1/4 (/ 1 (sqrt 1/2)))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.383 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.383 * [backup-simplify]: Simplify (+ 0 0) into 0 0.388 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.391 * [backup-simplify]: Simplify (- (/ -1/32 (pow (sqrt 1/2) 3))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.394 * [backup-simplify]: Simplify (+ 0 (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.397 * [backup-simplify]: Simplify (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) into (/ 1/32 (pow (sqrt 1/2) 3)) 0.402 * [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)) 0.402 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 0.402 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 0.402 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 0.403 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 0.403 * [taylor]: Taking taylor expansion of 1/2 in x 0.403 * [backup-simplify]: Simplify 1/2 into 1/2 0.403 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.403 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.403 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.403 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.403 * [taylor]: Taking taylor expansion of 1 in x 0.403 * [backup-simplify]: Simplify 1 into 1 0.403 * [taylor]: Taking taylor expansion of 1 in x 0.403 * [backup-simplify]: Simplify 1 into 1 0.403 * [taylor]: Taking taylor expansion of (* x x) in x 0.403 * [taylor]: Taking taylor expansion of x in x 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify 1 into 1 0.403 * [taylor]: Taking taylor expansion of x in x 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify 1 into 1 0.403 * [backup-simplify]: Simplify (* 1 1) into 1 0.404 * [backup-simplify]: Simplify (* 0 0) into 0 0.404 * [backup-simplify]: Simplify (+ 1 0) into 1 0.404 * [backup-simplify]: Simplify (sqrt 1) into 1 0.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.406 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.406 * [backup-simplify]: Simplify (+ 0 0) into 0 0.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.407 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.407 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 0.407 * [taylor]: Taking taylor expansion of 1/2 in x 0.407 * [backup-simplify]: Simplify 1/2 into 1/2 0.407 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.407 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.407 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.407 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.407 * [taylor]: Taking taylor expansion of 1 in x 0.407 * [backup-simplify]: Simplify 1 into 1 0.408 * [taylor]: Taking taylor expansion of 1 in x 0.408 * [backup-simplify]: Simplify 1 into 1 0.408 * [taylor]: Taking taylor expansion of (* x x) in x 0.408 * [taylor]: Taking taylor expansion of x in x 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify 1 into 1 0.408 * [taylor]: Taking taylor expansion of x in x 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify 1 into 1 0.408 * [backup-simplify]: Simplify (* 1 1) into 1 0.408 * [backup-simplify]: Simplify (* 0 0) into 0 0.409 * [backup-simplify]: Simplify (+ 1 0) into 1 0.409 * [backup-simplify]: Simplify (sqrt 1) into 1 0.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.410 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.411 * [backup-simplify]: Simplify (+ 0 0) into 0 0.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.412 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.412 * [backup-simplify]: Simplify 1/2 into 1/2 0.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.413 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.414 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.415 * [backup-simplify]: Simplify (+ 0 1) into 1 0.416 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.417 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.417 * [backup-simplify]: Simplify -1/4 into -1/4 0.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.419 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.419 * [backup-simplify]: Simplify (+ 0 0) into 0 0.420 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.421 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.424 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.424 * [backup-simplify]: Simplify (+ 0 0) into 0 0.425 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.427 * [backup-simplify]: Simplify 3/16 into 3/16 0.427 * [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))) 0.427 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 0.427 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 0.428 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 0.428 * [taylor]: Taking taylor expansion of 1/2 in x 0.428 * [backup-simplify]: Simplify 1/2 into 1/2 0.428 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.428 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.428 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.428 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.428 * [taylor]: Taking taylor expansion of 1 in x 0.428 * [backup-simplify]: Simplify 1 into 1 0.428 * [taylor]: Taking taylor expansion of 1 in x 0.428 * [backup-simplify]: Simplify 1 into 1 0.428 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.428 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.428 * [taylor]: Taking taylor expansion of x in x 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify 1 into 1 0.428 * [backup-simplify]: Simplify (/ 1 1) into 1 0.428 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.429 * [taylor]: Taking taylor expansion of x in x 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify 1 into 1 0.429 * [backup-simplify]: Simplify (/ 1 1) into 1 0.429 * [backup-simplify]: Simplify (* 1 1) into 1 0.430 * [backup-simplify]: Simplify (+ 0 1) into 1 0.430 * [backup-simplify]: Simplify (sqrt 1) into 1 0.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.432 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.432 * [backup-simplify]: Simplify (+ 0 0) into 0 0.433 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.433 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.433 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 0.434 * [taylor]: Taking taylor expansion of 1/2 in x 0.434 * [backup-simplify]: Simplify 1/2 into 1/2 0.434 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.434 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.434 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.434 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.434 * [taylor]: Taking taylor expansion of 1 in x 0.434 * [backup-simplify]: Simplify 1 into 1 0.434 * [taylor]: Taking taylor expansion of 1 in x 0.434 * [backup-simplify]: Simplify 1 into 1 0.434 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.434 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify 1 into 1 0.434 * [backup-simplify]: Simplify (/ 1 1) into 1 0.434 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify 1 into 1 0.435 * [backup-simplify]: Simplify (/ 1 1) into 1 0.435 * [backup-simplify]: Simplify (* 1 1) into 1 0.435 * [backup-simplify]: Simplify (+ 0 1) into 1 0.436 * [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 0.437 * [backup-simplify]: Simplify (+ 0 0) into 0 0.438 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.438 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.438 * [backup-simplify]: Simplify 1/2 into 1/2 0.439 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify (* 1 1) into 1 0.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.441 * [backup-simplify]: Simplify (+ 1 0) into 1 0.442 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.442 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.442 * [backup-simplify]: Simplify -1/4 into -1/4 0.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.445 * [backup-simplify]: Simplify (+ 0 0) into 0 0.445 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.446 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.449 * [backup-simplify]: Simplify (+ 0 0) into 0 0.449 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.450 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.450 * [backup-simplify]: Simplify 3/16 into 3/16 0.451 * [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)))) 0.451 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 0.451 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 0.451 * [taylor]: Taking taylor expansion of (/ 1/2 (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 (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 0.451 * [backup-simplify]: Simplify (/ -1 1) into -1 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 * [backup-simplify]: Simplify (* -1 -1) into 1 0.452 * [backup-simplify]: Simplify (+ 0 1) into 1 0.452 * [backup-simplify]: Simplify (sqrt 1) into 1 0.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.453 * [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 (/ 1/2 1) into 1/2 0.455 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 0.455 * [taylor]: Taking taylor expansion of 1/2 in x 0.455 * [backup-simplify]: Simplify 1/2 into 1/2 0.455 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.455 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.455 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.455 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.455 * [taylor]: Taking taylor expansion of 1 in x 0.455 * [backup-simplify]: Simplify 1 into 1 0.455 * [taylor]: Taking taylor expansion of 1 in x 0.455 * [backup-simplify]: Simplify 1 into 1 0.455 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.455 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.455 * [taylor]: Taking taylor expansion of -1 in x 0.455 * [backup-simplify]: Simplify -1 into -1 0.455 * [taylor]: Taking taylor expansion of x in x 0.455 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify 1 into 1 0.455 * [backup-simplify]: Simplify (/ -1 1) into -1 0.455 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.455 * [taylor]: Taking taylor expansion of -1 in x 0.455 * [backup-simplify]: Simplify -1 into -1 0.455 * [taylor]: Taking taylor expansion of x in x 0.455 * [backup-simplify]: Simplify 0 into 0 0.456 * [backup-simplify]: Simplify 1 into 1 0.456 * [backup-simplify]: Simplify (/ -1 1) into -1 0.456 * [backup-simplify]: Simplify (* -1 -1) into 1 0.457 * [backup-simplify]: Simplify (+ 0 1) into 1 0.457 * [backup-simplify]: Simplify (sqrt 1) into 1 0.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.461 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.461 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.462 * [backup-simplify]: Simplify (+ 0 0) into 0 0.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.463 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.463 * [backup-simplify]: Simplify 1/2 into 1/2 0.464 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify (* 1 1) into 1 0.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.467 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.467 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.468 * [backup-simplify]: Simplify (+ 1 0) into 1 0.469 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.470 * [backup-simplify]: Simplify -1/4 into -1/4 0.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.473 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.474 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.474 * [backup-simplify]: Simplify (+ 0 0) into 0 0.476 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.477 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.477 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.481 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.482 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.482 * [backup-simplify]: Simplify (+ 0 0) into 0 0.484 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.485 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.485 * [backup-simplify]: Simplify 3/16 into 3/16 0.486 * [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)))) 0.486 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.486 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 x)) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 0.486 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in (x) around 0 0.486 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.486 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.486 * [taylor]: Taking taylor expansion of 1/2 in x 0.486 * [backup-simplify]: Simplify 1/2 into 1/2 0.486 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.486 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.486 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.486 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.486 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.487 * [taylor]: Taking taylor expansion of 1 in x 0.487 * [backup-simplify]: Simplify 1 into 1 0.487 * [taylor]: Taking taylor expansion of 1 in x 0.487 * [backup-simplify]: Simplify 1 into 1 0.487 * [taylor]: Taking taylor expansion of (* x x) in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.487 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify 1 into 1 0.487 * [taylor]: Taking taylor expansion of x in x 0.487 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify 1 into 1 0.487 * [backup-simplify]: Simplify (* 1 1) into 1 0.488 * [backup-simplify]: Simplify (* 0 0) into 0 0.488 * [backup-simplify]: Simplify (+ 1 0) into 1 0.488 * [backup-simplify]: Simplify (sqrt 1) into 1 0.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.490 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.490 * [backup-simplify]: Simplify (+ 0 0) into 0 0.491 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.491 * [backup-simplify]: Simplify (/ 1 1) into 1 0.491 * [taylor]: Taking taylor expansion of 1/2 in x 0.491 * [backup-simplify]: Simplify 1/2 into 1/2 0.491 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.491 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.491 * [taylor]: Taking taylor expansion of 1/2 in x 0.491 * [backup-simplify]: Simplify 1/2 into 1/2 0.491 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.491 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.492 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.492 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.492 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.492 * [taylor]: Taking taylor expansion of 1 in x 0.492 * [backup-simplify]: Simplify 1 into 1 0.492 * [taylor]: Taking taylor expansion of 1 in x 0.492 * [backup-simplify]: Simplify 1 into 1 0.492 * [taylor]: Taking taylor expansion of (* x x) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify 1 into 1 0.492 * [taylor]: Taking taylor expansion of x in x 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify 1 into 1 0.492 * [backup-simplify]: Simplify (* 1 1) into 1 0.493 * [backup-simplify]: Simplify (* 0 0) into 0 0.493 * [backup-simplify]: Simplify (+ 1 0) into 1 0.493 * [backup-simplify]: Simplify (sqrt 1) into 1 0.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.495 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.495 * [backup-simplify]: Simplify (+ 0 0) into 0 0.496 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.496 * [backup-simplify]: Simplify (/ 1 1) into 1 0.496 * [taylor]: Taking taylor expansion of 1/2 in x 0.496 * [backup-simplify]: Simplify 1/2 into 1/2 0.497 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.497 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.497 * [backup-simplify]: Simplify 1 into 1 0.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.499 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.499 * [backup-simplify]: Simplify (+ 0 0) into 0 0.499 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.500 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.501 * [backup-simplify]: Simplify (+ 0 1) into 1 0.501 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.503 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.503 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.503 * [backup-simplify]: Simplify -1/4 into -1/4 0.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.504 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.504 * [backup-simplify]: Simplify (+ 0 0) into 0 0.505 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 0.507 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 0.507 * [backup-simplify]: Simplify (+ 0 0) into 0 0.507 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.508 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.509 * [backup-simplify]: Simplify (+ 0 0) into 0 0.509 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 0.511 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 0.512 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 0.512 * [backup-simplify]: Simplify 3/16 into 3/16 0.512 * [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))) 0.512 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 0.512 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in (x) around 0 0.512 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.512 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.512 * [taylor]: Taking taylor expansion of 1/2 in x 0.512 * [backup-simplify]: Simplify 1/2 into 1/2 0.512 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.512 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.512 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.512 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.512 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.512 * [taylor]: Taking taylor expansion of 1 in x 0.512 * [backup-simplify]: Simplify 1 into 1 0.512 * [taylor]: Taking taylor expansion of 1 in x 0.512 * [backup-simplify]: Simplify 1 into 1 0.512 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.512 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.512 * [taylor]: Taking taylor expansion of x in x 0.512 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify 1 into 1 0.512 * [backup-simplify]: Simplify (/ 1 1) into 1 0.513 * [taylor]: Taking taylor expansion of (/ 1 x) in x 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 0.513 * [backup-simplify]: Simplify (/ 1 1) into 1 0.513 * [backup-simplify]: Simplify (* 1 1) into 1 0.513 * [backup-simplify]: Simplify (+ 0 1) into 1 0.514 * [backup-simplify]: Simplify (sqrt 1) into 1 0.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.515 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.515 * [backup-simplify]: Simplify (+ 0 0) into 0 0.516 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.516 * [backup-simplify]: Simplify (/ 1 1) into 1 0.516 * [taylor]: Taking taylor expansion of 1/2 in x 0.516 * [backup-simplify]: Simplify 1/2 into 1/2 0.516 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.516 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.516 * [taylor]: Taking taylor expansion of 1/2 in x 0.516 * [backup-simplify]: Simplify 1/2 into 1/2 0.516 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.516 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.516 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.516 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.516 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.516 * [taylor]: Taking taylor expansion of 1 in x 0.516 * [backup-simplify]: Simplify 1 into 1 0.516 * [taylor]: Taking taylor expansion of 1 in x 0.516 * [backup-simplify]: Simplify 1 into 1 0.516 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.516 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.516 * [taylor]: Taking taylor expansion of x in x 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify 1 into 1 0.516 * [backup-simplify]: Simplify (/ 1 1) into 1 0.516 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.516 * [taylor]: Taking taylor expansion of x in x 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify 1 into 1 0.517 * [backup-simplify]: Simplify (/ 1 1) into 1 0.517 * [backup-simplify]: Simplify (* 1 1) into 1 0.517 * [backup-simplify]: Simplify (+ 0 1) into 1 0.517 * [backup-simplify]: Simplify (sqrt 1) into 1 0.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.519 * [backup-simplify]: Simplify (+ 0 0) into 0 0.519 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.520 * [backup-simplify]: Simplify (/ 1 1) into 1 0.520 * [taylor]: Taking taylor expansion of 1/2 in x 0.520 * [backup-simplify]: Simplify 1/2 into 1/2 0.520 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.520 * [backup-simplify]: Simplify 1/2 into 1/2 0.520 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.521 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.521 * [backup-simplify]: Simplify 1/2 into 1/2 0.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.522 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.522 * [backup-simplify]: Simplify (+ 0 0) into 0 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify (* 1 1) into 1 0.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.524 * [backup-simplify]: Simplify (+ 1 0) into 1 0.524 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.526 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.526 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.526 * [backup-simplify]: Simplify -1/4 into -1/4 0.526 * [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)))) 0.526 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 0.526 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in (x) around 0 0.526 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.526 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.526 * [taylor]: Taking taylor expansion of 1/2 in x 0.526 * [backup-simplify]: Simplify 1/2 into 1/2 0.526 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.526 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.527 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.527 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.527 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.527 * [taylor]: Taking taylor expansion of 1 in x 0.527 * [backup-simplify]: Simplify 1 into 1 0.527 * [taylor]: Taking taylor expansion of 1 in x 0.527 * [backup-simplify]: Simplify 1 into 1 0.527 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.527 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.527 * [taylor]: Taking taylor expansion of -1 in x 0.527 * [backup-simplify]: Simplify -1 into -1 0.527 * [taylor]: Taking taylor expansion of x in x 0.527 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify 1 into 1 0.527 * [backup-simplify]: Simplify (/ -1 1) into -1 0.527 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.527 * [taylor]: Taking taylor expansion of -1 in x 0.527 * [backup-simplify]: Simplify -1 into -1 0.527 * [taylor]: Taking taylor expansion of x in x 0.527 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify 1 into 1 0.527 * [backup-simplify]: Simplify (/ -1 1) into -1 0.528 * [backup-simplify]: Simplify (* -1 -1) into 1 0.528 * [backup-simplify]: Simplify (+ 0 1) into 1 0.529 * [backup-simplify]: Simplify (sqrt 1) into 1 0.530 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.530 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.531 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.531 * [backup-simplify]: Simplify (+ 0 0) into 0 0.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.533 * [backup-simplify]: Simplify (/ 1 1) into 1 0.533 * [taylor]: Taking taylor expansion of 1/2 in x 0.533 * [backup-simplify]: Simplify 1/2 into 1/2 0.533 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.533 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.533 * [taylor]: Taking taylor expansion of 1/2 in x 0.533 * [backup-simplify]: Simplify 1/2 into 1/2 0.533 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.533 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.533 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.533 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.533 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.533 * [taylor]: Taking taylor expansion of 1 in x 0.533 * [backup-simplify]: Simplify 1 into 1 0.533 * [taylor]: Taking taylor expansion of 1 in x 0.533 * [backup-simplify]: Simplify 1 into 1 0.533 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.533 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.533 * [taylor]: Taking taylor expansion of -1 in x 0.533 * [backup-simplify]: Simplify -1 into -1 0.533 * [taylor]: Taking taylor expansion of x in x 0.533 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify 1 into 1 0.534 * [backup-simplify]: Simplify (/ -1 1) into -1 0.534 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.534 * [taylor]: Taking taylor expansion of -1 in x 0.534 * [backup-simplify]: Simplify -1 into -1 0.534 * [taylor]: Taking taylor expansion of x in x 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify 1 into 1 0.534 * [backup-simplify]: Simplify (/ -1 1) into -1 0.535 * [backup-simplify]: Simplify (* -1 -1) into 1 0.535 * [backup-simplify]: Simplify (+ 0 1) into 1 0.536 * [backup-simplify]: Simplify (sqrt 1) into 1 0.536 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.537 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.538 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.538 * [backup-simplify]: Simplify (+ 0 0) into 0 0.539 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.539 * [backup-simplify]: Simplify (/ 1 1) into 1 0.540 * [taylor]: Taking taylor expansion of 1/2 in x 0.540 * [backup-simplify]: Simplify 1/2 into 1/2 0.540 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.540 * [backup-simplify]: Simplify 1/2 into 1/2 0.541 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.541 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.541 * [backup-simplify]: Simplify 1/2 into 1/2 0.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.543 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.543 * [backup-simplify]: Simplify (+ 0 0) into 0 0.543 * [backup-simplify]: Simplify 0 into 0 0.544 * [backup-simplify]: Simplify (* 1 1) into 1 0.545 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.546 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.546 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.547 * [backup-simplify]: Simplify (+ 1 0) into 1 0.548 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.550 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.551 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.551 * [backup-simplify]: Simplify -1/4 into -1/4 0.551 * [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))) 0.551 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.551 * [backup-simplify]: Simplify (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 0.551 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in (x) around 0 0.551 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.551 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.551 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.551 * [taylor]: Taking taylor expansion of 1/2 in x 0.551 * [backup-simplify]: Simplify 1/2 into 1/2 0.551 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.551 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.552 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.552 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.552 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.552 * [taylor]: Taking taylor expansion of 1 in x 0.552 * [backup-simplify]: Simplify 1 into 1 0.552 * [taylor]: Taking taylor expansion of 1 in x 0.552 * [backup-simplify]: Simplify 1 into 1 0.552 * [taylor]: Taking taylor expansion of (* x x) in x 0.552 * [taylor]: Taking taylor expansion of x in x 0.552 * [backup-simplify]: Simplify 0 into 0 0.552 * [backup-simplify]: Simplify 1 into 1 0.552 * [taylor]: Taking taylor expansion of x in x 0.552 * [backup-simplify]: Simplify 0 into 0 0.552 * [backup-simplify]: Simplify 1 into 1 0.552 * [backup-simplify]: Simplify (* 1 1) into 1 0.552 * [backup-simplify]: Simplify (* 0 0) into 0 0.553 * [backup-simplify]: Simplify (+ 1 0) into 1 0.553 * [backup-simplify]: Simplify (sqrt 1) into 1 0.553 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.554 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.554 * [backup-simplify]: Simplify (+ 0 0) into 0 0.554 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.554 * [backup-simplify]: Simplify (/ 1 1) into 1 0.554 * [taylor]: Taking taylor expansion of 1/2 in x 0.554 * [backup-simplify]: Simplify 1/2 into 1/2 0.555 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.555 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.555 * [backup-simplify]: Simplify (sqrt 1) into 1 0.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.556 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.556 * [backup-simplify]: Simplify (+ 0 0) into 0 0.557 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.557 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.557 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.557 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.557 * [taylor]: Taking taylor expansion of 1/2 in x 0.557 * [backup-simplify]: Simplify 1/2 into 1/2 0.557 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.557 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.557 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.557 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.557 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.557 * [taylor]: Taking taylor expansion of 1 in x 0.557 * [backup-simplify]: Simplify 1 into 1 0.557 * [taylor]: Taking taylor expansion of 1 in x 0.557 * [backup-simplify]: Simplify 1 into 1 0.557 * [taylor]: Taking taylor expansion of (* x x) in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.557 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify 1 into 1 0.557 * [taylor]: Taking taylor expansion of x in x 0.557 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify 1 into 1 0.557 * [backup-simplify]: Simplify (* 1 1) into 1 0.558 * [backup-simplify]: Simplify (* 0 0) into 0 0.558 * [backup-simplify]: Simplify (+ 1 0) into 1 0.558 * [backup-simplify]: Simplify (sqrt 1) into 1 0.558 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.559 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.559 * [backup-simplify]: Simplify (+ 0 0) into 0 0.560 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.560 * [backup-simplify]: Simplify (/ 1 1) into 1 0.560 * [taylor]: Taking taylor expansion of 1/2 in x 0.560 * [backup-simplify]: Simplify 1/2 into 1/2 0.560 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.560 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.561 * [backup-simplify]: Simplify (sqrt 1) into 1 0.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.561 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.562 * [backup-simplify]: Simplify (+ 0 0) into 0 0.562 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.562 * [backup-simplify]: Simplify 1 into 1 0.562 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.563 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.563 * [backup-simplify]: Simplify (+ 0 1) into 1 0.564 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.565 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.566 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.566 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 0.566 * [backup-simplify]: Simplify -1/8 into -1/8 0.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.567 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.568 * [backup-simplify]: Simplify (+ 0 0) into 0 0.568 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 0.571 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 0.572 * [backup-simplify]: Simplify (+ 0 0) into 0 0.572 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 0.572 * [backup-simplify]: Simplify 0 into 0 0.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.574 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.574 * [backup-simplify]: Simplify (+ 0 0) into 0 0.575 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 0.577 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 0.578 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 0.579 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 0.579 * [backup-simplify]: Simplify 11/128 into 11/128 0.579 * [backup-simplify]: Simplify (+ (* 11/128 (pow x 4)) (+ (* -1/8 (pow x 2)) 1)) into (- (+ (* 11/128 (pow x 4)) 1) (* 1/8 (pow x 2))) 0.580 * [backup-simplify]: Simplify (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 0.580 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in (x) around 0 0.580 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.580 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.580 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.580 * [taylor]: Taking taylor expansion of 1/2 in x 0.580 * [backup-simplify]: Simplify 1/2 into 1/2 0.580 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.580 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.580 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.580 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.580 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.580 * [taylor]: Taking taylor expansion of 1 in x 0.580 * [backup-simplify]: Simplify 1 into 1 0.580 * [taylor]: Taking taylor expansion of 1 in x 0.580 * [backup-simplify]: Simplify 1 into 1 0.580 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.580 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.580 * [taylor]: Taking taylor expansion of x in x 0.580 * [backup-simplify]: Simplify 0 into 0 0.580 * [backup-simplify]: Simplify 1 into 1 0.581 * [backup-simplify]: Simplify (/ 1 1) into 1 0.581 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.581 * [taylor]: Taking taylor expansion of x in x 0.581 * [backup-simplify]: Simplify 0 into 0 0.581 * [backup-simplify]: Simplify 1 into 1 0.581 * [backup-simplify]: Simplify (/ 1 1) into 1 0.581 * [backup-simplify]: Simplify (* 1 1) into 1 0.582 * [backup-simplify]: Simplify (+ 0 1) into 1 0.582 * [backup-simplify]: Simplify (sqrt 1) into 1 0.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.584 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.584 * [backup-simplify]: Simplify (+ 0 0) into 0 0.585 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.586 * [backup-simplify]: Simplify (/ 1 1) into 1 0.586 * [taylor]: Taking taylor expansion of 1/2 in x 0.586 * [backup-simplify]: Simplify 1/2 into 1/2 0.586 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.586 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.587 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.587 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.589 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.589 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.589 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.589 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.589 * [taylor]: Taking taylor expansion of 1/2 in x 0.589 * [backup-simplify]: Simplify 1/2 into 1/2 0.589 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.589 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.589 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.589 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.589 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.589 * [taylor]: Taking taylor expansion of 1 in x 0.589 * [backup-simplify]: Simplify 1 into 1 0.589 * [taylor]: Taking taylor expansion of 1 in x 0.589 * [backup-simplify]: Simplify 1 into 1 0.589 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.589 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.589 * [taylor]: Taking taylor expansion of x in x 0.589 * [backup-simplify]: Simplify 0 into 0 0.589 * [backup-simplify]: Simplify 1 into 1 0.590 * [backup-simplify]: Simplify (/ 1 1) into 1 0.590 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.590 * [taylor]: Taking taylor expansion of x in x 0.590 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify 1 into 1 0.590 * [backup-simplify]: Simplify (/ 1 1) into 1 0.591 * [backup-simplify]: Simplify (* 1 1) into 1 0.591 * [backup-simplify]: Simplify (+ 0 1) into 1 0.591 * [backup-simplify]: Simplify (sqrt 1) into 1 0.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.593 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.594 * [backup-simplify]: Simplify (+ 0 0) into 0 0.595 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.595 * [backup-simplify]: Simplify (/ 1 1) into 1 0.595 * [taylor]: Taking taylor expansion of 1/2 in x 0.595 * [backup-simplify]: Simplify 1/2 into 1/2 0.595 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.596 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.596 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.596 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.598 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.598 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.599 * [backup-simplify]: Simplify (/ 1/4 (sqrt 1/2)) into (/ 1/4 (sqrt 1/2)) 0.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.601 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.601 * [backup-simplify]: Simplify (+ 0 0) into 0 0.606 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.607 * [backup-simplify]: Simplify (/ -1/32 (pow (sqrt 1/2) 3)) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.610 * [backup-simplify]: Simplify (+ (* (/ -1/32 (pow (sqrt 1/2) 3)) (pow (/ 1 x) 2)) (+ (* (/ 1/4 (sqrt 1/2)) (/ 1 x)) (sqrt 1/2))) into (- (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (sqrt 1/2)) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) 0.611 * [backup-simplify]: Simplify (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 0.611 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in (x) around 0 0.611 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.611 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.611 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.611 * [taylor]: Taking taylor expansion of 1/2 in x 0.611 * [backup-simplify]: Simplify 1/2 into 1/2 0.611 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.611 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.611 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.611 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.611 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.611 * [taylor]: Taking taylor expansion of 1 in x 0.611 * [backup-simplify]: Simplify 1 into 1 0.611 * [taylor]: Taking taylor expansion of 1 in x 0.611 * [backup-simplify]: Simplify 1 into 1 0.611 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.611 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.611 * [taylor]: Taking taylor expansion of -1 in x 0.611 * [backup-simplify]: Simplify -1 into -1 0.611 * [taylor]: Taking taylor expansion of x in x 0.611 * [backup-simplify]: Simplify 0 into 0 0.611 * [backup-simplify]: Simplify 1 into 1 0.612 * [backup-simplify]: Simplify (/ -1 1) into -1 0.612 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.612 * [taylor]: Taking taylor expansion of -1 in x 0.612 * [backup-simplify]: Simplify -1 into -1 0.612 * [taylor]: Taking taylor expansion of x in x 0.612 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify 1 into 1 0.612 * [backup-simplify]: Simplify (/ -1 1) into -1 0.613 * [backup-simplify]: Simplify (* -1 -1) into 1 0.613 * [backup-simplify]: Simplify (+ 0 1) into 1 0.613 * [backup-simplify]: Simplify (sqrt 1) into 1 0.614 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.615 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.616 * [backup-simplify]: Simplify (+ 0 0) into 0 0.617 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.617 * [backup-simplify]: Simplify (/ 1 1) into 1 0.617 * [taylor]: Taking taylor expansion of 1/2 in x 0.617 * [backup-simplify]: Simplify 1/2 into 1/2 0.617 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.618 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.618 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.619 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.620 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.620 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.620 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.620 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.620 * [taylor]: Taking taylor expansion of 1/2 in x 0.620 * [backup-simplify]: Simplify 1/2 into 1/2 0.620 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.620 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.620 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.620 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.620 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.620 * [taylor]: Taking taylor expansion of 1 in x 0.620 * [backup-simplify]: Simplify 1 into 1 0.620 * [taylor]: Taking taylor expansion of 1 in x 0.620 * [backup-simplify]: Simplify 1 into 1 0.620 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.621 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.621 * [taylor]: Taking taylor expansion of -1 in x 0.621 * [backup-simplify]: Simplify -1 into -1 0.621 * [taylor]: Taking taylor expansion of x in x 0.621 * [backup-simplify]: Simplify 0 into 0 0.621 * [backup-simplify]: Simplify 1 into 1 0.621 * [backup-simplify]: Simplify (/ -1 1) into -1 0.621 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.621 * [taylor]: Taking taylor expansion of -1 in x 0.621 * [backup-simplify]: Simplify -1 into -1 0.621 * [taylor]: Taking taylor expansion of x in x 0.621 * [backup-simplify]: Simplify 0 into 0 0.621 * [backup-simplify]: Simplify 1 into 1 0.622 * [backup-simplify]: Simplify (/ -1 1) into -1 0.622 * [backup-simplify]: Simplify (* -1 -1) into 1 0.622 * [backup-simplify]: Simplify (+ 0 1) into 1 0.623 * [backup-simplify]: Simplify (sqrt 1) into 1 0.624 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.624 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.625 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.625 * [backup-simplify]: Simplify (+ 0 0) into 0 0.626 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.626 * [backup-simplify]: Simplify (/ 1 1) into 1 0.626 * [taylor]: Taking taylor expansion of 1/2 in x 0.626 * [backup-simplify]: Simplify 1/2 into 1/2 0.627 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.627 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.628 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.628 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.630 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.630 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.631 * [backup-simplify]: Simplify (/ 1/4 (sqrt 1/2)) into (/ 1/4 (sqrt 1/2)) 0.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.632 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.632 * [backup-simplify]: Simplify (+ 0 0) into 0 0.635 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.636 * [backup-simplify]: Simplify (/ -1/32 (pow (sqrt 1/2) 3)) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.638 * [backup-simplify]: Simplify (+ (* (/ -1/32 (pow (sqrt 1/2) 3)) (pow (/ 1 (- x)) 2)) (+ (* (/ 1/4 (sqrt 1/2)) (/ 1 (- x))) (sqrt 1/2))) into (- (sqrt 1/2) (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (* x (sqrt 1/2)))))) 0.638 * * * [progress]: simplifying candidates 0.638 * * * * [progress]: [ 1 / 137 ] simplifiying candidate # 0.639 * * * * [progress]: [ 2 / 137 ] simplifiying candidate # 0.639 * * * * [progress]: [ 3 / 137 ] simplifiying candidate # 0.639 * * * * [progress]: [ 4 / 137 ] simplifiying candidate # 0.639 * * * * [progress]: [ 5 / 137 ] simplifiying candidate # 0.639 * * * * [progress]: [ 6 / 137 ] simplifiying candidate # 0.639 * * * * [progress]: [ 7 / 137 ] simplifiying candidate # 0.639 * * * * [progress]: [ 8 / 137 ] simplifiying candidate # 0.639 * * * * [progress]: [ 9 / 137 ] simplifiying candidate # 0.639 * * * * [progress]: [ 10 / 137 ] simplifiying candidate # 0.639 * * * * [progress]: [ 11 / 137 ] simplifiying candidate # 0.639 * * * * [progress]: [ 12 / 137 ] simplifiying candidate # 0.639 * * * * [progress]: [ 13 / 137 ] simplifiying candidate # 0.639 * * * * [progress]: [ 14 / 137 ] simplifiying candidate # 0.639 * * * * [progress]: [ 15 / 137 ] simplifiying candidate # 0.639 * * * * [progress]: [ 16 / 137 ] simplifiying candidate # 0.639 * * * * [progress]: [ 17 / 137 ] simplifiying candidate # 0.640 * * * * [progress]: [ 18 / 137 ] simplifiying candidate # 0.640 * * * * [progress]: [ 19 / 137 ] simplifiying candidate # 0.640 * * * * [progress]: [ 20 / 137 ] simplifiying candidate # 0.640 * * * * [progress]: [ 21 / 137 ] simplifiying candidate # 0.640 * * * * [progress]: [ 22 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* * * [progress]: [ 38 / 137 ] simplifiying candidate # 0.640 * * * * [progress]: [ 39 / 137 ] simplifiying candidate # 0.640 * * * * [progress]: [ 40 / 137 ] simplifiying candidate # 0.640 * * * * [progress]: [ 41 / 137 ] simplifiying candidate # 0.640 * * * * [progress]: [ 42 / 137 ] simplifiying candidate # 0.641 * * * * [progress]: [ 43 / 137 ] simplifiying candidate # 0.641 * * * * [progress]: [ 44 / 137 ] simplifiying candidate # 0.641 * * * * [progress]: [ 45 / 137 ] simplifiying candidate # 0.641 * * * * [progress]: [ 46 / 137 ] simplifiying candidate #real (real->posit16 (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))> 0.641 * * * * [progress]: [ 47 / 137 ] simplifiying candidate # 0.641 * * * * [progress]: [ 48 / 137 ] simplifiying candidate # 0.641 * * * * [progress]: [ 49 / 137 ] simplifiying candidate # 0.641 * * * * [progress]: [ 50 / 137 ] simplifiying candidate # 0.641 * * * * [progress]: [ 51 / 137 ] simplifiying candidate # 0.641 * * * * [progress]: [ 52 / 137 ] 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[progress]: [ 68 / 137 ] simplifiying candidate # 0.642 * * * * [progress]: [ 69 / 137 ] simplifiying candidate # 0.642 * * * * [progress]: [ 70 / 137 ] simplifiying candidate # 0.642 * * * * [progress]: [ 71 / 137 ] simplifiying candidate # 0.642 * * * * [progress]: [ 72 / 137 ] simplifiying candidate # 0.642 * * * * [progress]: [ 73 / 137 ] simplifiying candidate # 0.642 * * * * [progress]: [ 74 / 137 ] simplifiying candidate # 0.642 * * * * [progress]: [ 75 / 137 ] simplifiying candidate # 0.642 * * * * [progress]: [ 76 / 137 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x)))) 1/2))))> 0.642 * * * * [progress]: [ 77 / 137 ] simplifiying candidate # 0.642 * * * * [progress]: [ 78 / 137 ] simplifiying candidate # 0.642 * * * * [progress]: [ 79 / 137 ] simplifiying candidate # 0.642 * * * * [progress]: [ 80 / 137 ] simplifiying candidate # 0.642 * * * * [progress]: [ 81 / 137 ] simplifiying candidate # 0.642 * * * * [progress]: [ 82 / 137 ] simplifiying candidate # 0.642 * * * * [progress]: [ 83 / 137 ] simplifiying candidate # 0.642 * * * * [progress]: [ 84 / 137 ] simplifiying candidate # 0.642 * * * * [progress]: [ 85 / 137 ] simplifiying candidate # 0.642 * * * * [progress]: [ 86 / 137 ] simplifiying candidate # 0.642 * * * * [progress]: [ 87 / 137 ] simplifiying candidate # 0.642 * * * * [progress]: [ 88 / 137 ] simplifiying candidate # 0.642 * * * * [progress]: [ 89 / 137 ] simplifiying candidate # 0.642 * * * * [progress]: [ 90 / 137 ] simplifiying candidate # 0.642 * * * * [progress]: [ 91 / 137 ] simplifiying candidate # 0.642 * * * * [progress]: [ 92 / 137 ] simplifiying candidate # 0.642 * * * * [progress]: [ 93 / 137 ] simplifiying candidate # 0.643 * * * * [progress]: [ 94 / 137 ] simplifiying candidate # 0.643 * * * * [progress]: [ 95 / 137 ] simplifiying candidate # 0.643 * * * * [progress]: [ 96 / 137 ] simplifiying candidate # 0.643 * * * * [progress]: [ 97 / 137 ] simplifiying candidate # 0.643 * * * * [progress]: [ 98 / 137 ] simplifiying candidate # 0.643 * * * * [progress]: [ 99 / 137 ] simplifiying candidate # 0.643 * * * * [progress]: [ 100 / 137 ] simplifiying candidate # 0.643 * * * * [progress]: [ 101 / 137 ] simplifiying candidate # 0.643 * * * * [progress]: [ 102 / 137 ] simplifiying candidate # 0.643 * * * * [progress]: [ 103 / 137 ] simplifiying candidate #real (real->posit16 (+ (/ 1/2 (hypot 1 x)) 1/2))))))> 0.643 * * * * [progress]: [ 104 / 137 ] simplifiying candidate # 0.643 * * * * [progress]: [ 105 / 137 ] simplifiying candidate # 0.643 * * * * [progress]: [ 106 / 137 ] simplifiying candidate # 0.643 * * * * [progress]: [ 107 / 137 ] simplifiying candidate # 0.643 * * * * [progress]: [ 108 / 137 ] simplifiying candidate # 0.643 * * * * [progress]: [ 109 / 137 ] simplifiying candidate # 0.643 * * * * [progress]: [ 110 / 137 ] simplifiying candidate # 0.643 * * * * [progress]: [ 111 / 137 ] simplifiying candidate # 0.643 * * * * [progress]: [ 112 / 137 ] simplifiying candidate # 0.643 * * * * [progress]: [ 113 / 137 ] simplifiying candidate # 0.643 * * * * [progress]: [ 114 / 137 ] simplifiying candidate # 0.643 * * * * [progress]: [ 115 / 137 ] simplifiying candidate # 0.643 * * * * [progress]: [ 116 / 137 ] simplifiying candidate # 0.643 * * * * [progress]: [ 117 / 137 ] simplifiying candidate # 0.644 * * * * [progress]: [ 118 / 137 ] simplifiying candidate # 0.644 * * * * [progress]: [ 119 / 137 ] simplifiying candidate # 0.644 * * * * [progress]: [ 120 / 137 ] simplifiying candidate # 0.644 * * * * [progress]: [ 121 / 137 ] simplifiying candidate # 0.644 * * * * [progress]: [ 122 / 137 ] simplifiying candidate # 0.644 * * * * [progress]: [ 123 / 137 ] simplifiying candidate # 0.644 * * * * [progress]: [ 124 / 137 ] simplifiying candidate # 0.644 * * * * [progress]: [ 125 / 137 ] simplifiying candidate #real (real->posit16 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))> 0.644 * * * * [progress]: [ 126 / 137 ] simplifiying candidate # 0.644 * * * * [progress]: [ 127 / 137 ] simplifiying candidate # 0.644 * * * * [progress]: [ 128 / 137 ] simplifiying candidate # 0.644 * * * * [progress]: [ 129 / 137 ] simplifiying candidate # 0.644 * * * * [progress]: [ 130 / 137 ] simplifiying candidate # 0.644 * * * * [progress]: [ 131 / 137 ] simplifiying candidate # 0.644 * * * * [progress]: [ 132 / 137 ] simplifiying candidate # 0.644 * * * * [progress]: [ 133 / 137 ] simplifiying candidate # 0.644 * * * * [progress]: [ 134 / 137 ] simplifiying candidate # 0.644 * * * * [progress]: [ 135 / 137 ] simplifiying candidate # 0.644 * * * * [progress]: [ 136 / 137 ] simplifiying candidate # 0.644 * * * * [progress]: [ 137 / 137 ] simplifiying candidate # 0.646 * [simplify]: Simplifying: (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (fma (- (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (fma (- (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (* (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (fma (- (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1)))) (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1)))) (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (fma (- (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 1 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (fma (sqrt 1) (sqrt 1) (- (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (fma (- (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (fma (- (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (* (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (fma (- (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1)))) (fma (- (sqrt 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1/2)))) (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (fma 1 1 (- (* (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (fma (- (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (* (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (fma 1 1 (- (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (fma (- (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (fma 1 1 (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1)))) (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1))) (fma 1 1 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x)) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (hypot 1 x)) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) (/ 1 1) (/ 1/2 (hypot 1 x)) (/ 1 (hypot 1 x)) (/ (hypot 1 x) 1/2) (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (sqrt (hypot 1 x))) (/ 1/2 1) (/ (hypot 1 x) (cbrt 1/2)) (/ (hypot 1 x) (sqrt 1/2)) (/ (hypot 1 x) 1/2) (real->posit16 (/ 1/2 (hypot 1 x))) (expm1 (+ (/ 1/2 (hypot 1 x)) 1/2)) (log1p (+ (/ 1/2 (hypot 1 x)) 1/2)) (* (exp (/ 1/2 (hypot 1 x))) (exp 1/2)) (log (+ (/ 1/2 (hypot 1 x)) 1/2)) (exp (+ (/ 1/2 (hypot 1 x)) 1/2)) (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (* (* (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 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1/2)) (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (pow (/ 1/2 (hypot 1 x)) 3) (pow 1/2 3))) (sqrt (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (- (* 1/2 1/2) (* (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (- (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 1/2))) (sqrt (- (/ 1/2 (hypot 1 x)) 1/2)) (/ 1 2) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (real->posit16 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (- (+ (* 1/8 (pow x 2)) (* 69/1024 (pow x 6))) (* 11/128 (pow x 4))) (- (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) 1) (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (sqrt 1/2))) (- (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) 1)) (sqrt 1/2)) (- (+ (* 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)))) (- (+ (* 3/16 (pow x 4)) 1) (* 1/4 (pow x 2))) (- (+ (* 1/2 (/ 1 x)) 1/2) (* 1/4 (/ 1 (pow x 3)))) (- (+ (* 1/4 (/ 1 (pow x 3))) 1/2) (* 1/2 (/ 1 x))) (- (+ (* 11/128 (pow x 4)) 1) (* 1/8 (pow x 2))) (- (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (sqrt 1/2)) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) (- (sqrt 1/2) (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (* x (sqrt 1/2)))))) 0.648 * * [simplify]: iteration 1: (213 enodes) 0.760 * * [simplify]: iteration 2: (490 enodes) 1.002 * * [simplify]: iteration 3: (1145 enodes) 2.530 * * [simplify]: Extracting #0: cost 95 inf + 0 2.533 * * [simplify]: Extracting #1: cost 415 inf + 44 2.538 * * [simplify]: Extracting #2: cost 694 inf + 5554 2.554 * * [simplify]: Extracting #3: cost 479 inf + 44892 2.594 * * [simplify]: Extracting #4: cost 266 inf + 104260 2.629 * * [simplify]: Extracting #5: cost 37 inf + 183910 2.690 * * [simplify]: Extracting #6: cost 1 inf + 196918 2.729 * * [simplify]: Extracting #7: cost 0 inf + 197130 2.786 * [simplify]: Simplified to: (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* 0 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ (- (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* 0 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* 0 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* 0 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* 0 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* 0 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* 0 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ (- (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* 0 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* 0 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* 0 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* 0 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* 0 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* 0 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ (- (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* 0 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* 0 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* 0 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* 0 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* 0 (sqrt (+ 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)))))) (- (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 (* (sqrt (+ 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))))) 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) (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 (/ 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)))) (fma (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)) 1/8) (fma 1/2 (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)) -1/4) (- (/ 1/2 (hypot 1 x)) 1/2) (+ 1/2 (/ 1/2 (hypot 1 x))) (real->posit16 (+ 1/2 (/ 1/2 (hypot 1 x)))) (expm1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (log1p (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (log (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (exp (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))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (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)))) (sqrt (fma (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)) 1/8)) (sqrt (fma 1/2 (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))))) (sqrt (fma (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)) -1/4)) (sqrt (- (/ 1/2 (hypot 1 x)) 1/2)) 1/2 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (real->posit16 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (* (* (* x x) (* x x)) (* x x)) 69/1024 (fma 1/8 (* x x) (* (* (* x x) (* x x)) -11/128))) (+ 1 (- (+ (/ 1/16 (* (* (sqrt 1/2) x) x)) (/ -1/4 (* (sqrt 1/2) x))) (sqrt 1/2))) (+ (+ (/ 1/16 (* (* (sqrt 1/2) x) x)) 1) (- (/ (/ 1/4 (sqrt 1/2)) x) (sqrt 1/2))) (fma -1/4 (* x x) (fma (* (* x x) (* x x)) 3/16 1/2)) (+ (/ 3/16 (pow x 5)) (+ (/ -1/4 (* (* x x) x)) (/ 1/2 x))) (- (+ (/ -1/2 x) (/ (/ 1/4 x) (* x x))) (/ 3/16 (pow x 5))) (fma -1/4 (* x x) (fma (* (* x x) (* x x)) 3/16 1)) (+ (+ (/ 1/2 x) 1/2) (/ -1/4 (* (* x x) x))) (fma -1/2 (/ 1 x) (fma (/ (/ 1 x) (* x x)) 1/4 1/2)) (fma (* x x) -1/8 (fma 11/128 (* (* x x) (* x x)) 1)) (- (+ (sqrt 1/2) (/ (/ 1/4 (sqrt 1/2)) x)) (/ 1/16 (* (* (sqrt 1/2) x) x))) (+ (/ -1/4 (* (sqrt 1/2) x)) (- (sqrt 1/2) (/ 1/16 (* (* (sqrt 1/2) x) x)))) 2.796 * * * [progress]: adding candidates to table 3.946 * * [progress]: iteration 2 / 4 3.946 * * * [progress]: picking best candidate 3.953 * * * * [pick]: Picked # 3.954 * * * [progress]: localizing error 3.988 * * * [progress]: generating rewritten candidates 3.988 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 3.996 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 2) 4.003 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2) 4.009 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2 2) 4.017 * * * [progress]: generating series expansions 4.017 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 4.018 * [backup-simplify]: Simplify (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) into (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) 4.018 * [approximate]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in (x) around 0 4.018 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in x 4.018 * [taylor]: Taking taylor expansion of 1 in x 4.018 * [backup-simplify]: Simplify 1 into 1 4.018 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 4.018 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 4.018 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 4.018 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 4.018 * [taylor]: Taking taylor expansion of 1/2 in x 4.018 * [backup-simplify]: Simplify 1/2 into 1/2 4.018 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 4.018 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 4.018 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 4.018 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 4.018 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.018 * [taylor]: Taking taylor expansion of 1 in x 4.018 * [backup-simplify]: Simplify 1 into 1 4.018 * [taylor]: Taking taylor expansion of 1 in x 4.018 * [backup-simplify]: Simplify 1 into 1 4.018 * [taylor]: Taking taylor expansion of (* x x) in x 4.018 * [taylor]: Taking taylor expansion of x in x 4.018 * [backup-simplify]: Simplify 0 into 0 4.018 * [backup-simplify]: Simplify 1 into 1 4.018 * [taylor]: Taking taylor expansion of x in x 4.018 * [backup-simplify]: Simplify 0 into 0 4.018 * [backup-simplify]: Simplify 1 into 1 4.019 * [backup-simplify]: Simplify (* 1 1) into 1 4.019 * [backup-simplify]: Simplify (* 0 0) into 0 4.020 * [backup-simplify]: Simplify (+ 1 0) into 1 4.020 * [backup-simplify]: Simplify (sqrt 1) into 1 4.021 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.021 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.022 * [backup-simplify]: Simplify (+ 0 0) into 0 4.023 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.023 * [backup-simplify]: Simplify (/ 1 1) into 1 4.023 * [taylor]: Taking taylor expansion of 1/2 in x 4.023 * [backup-simplify]: Simplify 1/2 into 1/2 4.023 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.024 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 4.024 * [backup-simplify]: Simplify (* 1 1) into 1 4.024 * [backup-simplify]: Simplify (* 1 1) into 1 4.025 * [backup-simplify]: Simplify (sqrt 1) into 1 4.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.026 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.027 * [backup-simplify]: Simplify (+ 0 0) into 0 4.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.029 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in x 4.029 * [taylor]: Taking taylor expansion of 1 in x 4.029 * [backup-simplify]: Simplify 1 into 1 4.029 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 4.029 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 4.029 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 4.029 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 4.029 * [taylor]: Taking taylor expansion of 1/2 in x 4.029 * [backup-simplify]: Simplify 1/2 into 1/2 4.029 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 4.029 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 4.029 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 4.029 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 4.029 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.029 * [taylor]: Taking taylor expansion of 1 in x 4.029 * [backup-simplify]: Simplify 1 into 1 4.029 * [taylor]: Taking taylor expansion of 1 in x 4.029 * [backup-simplify]: Simplify 1 into 1 4.029 * [taylor]: Taking taylor expansion of (* x x) in x 4.029 * [taylor]: Taking taylor expansion of x in x 4.029 * [backup-simplify]: Simplify 0 into 0 4.029 * [backup-simplify]: Simplify 1 into 1 4.029 * [taylor]: Taking taylor expansion of x in x 4.029 * [backup-simplify]: Simplify 0 into 0 4.029 * [backup-simplify]: Simplify 1 into 1 4.030 * [backup-simplify]: Simplify (* 1 1) into 1 4.030 * [backup-simplify]: Simplify (* 0 0) into 0 4.031 * [backup-simplify]: Simplify (+ 1 0) into 1 4.031 * [backup-simplify]: Simplify (sqrt 1) into 1 4.031 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.032 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.032 * [backup-simplify]: Simplify (+ 0 0) into 0 4.033 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.033 * [backup-simplify]: Simplify (/ 1 1) into 1 4.033 * [taylor]: Taking taylor expansion of 1/2 in x 4.033 * [backup-simplify]: Simplify 1/2 into 1/2 4.033 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.033 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 4.034 * [backup-simplify]: Simplify (* 1 1) into 1 4.034 * [backup-simplify]: Simplify (* 1 1) into 1 4.034 * [backup-simplify]: Simplify (sqrt 1) into 1 4.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.035 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.035 * [backup-simplify]: Simplify (+ 0 0) into 0 4.035 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.036 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.037 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.037 * [backup-simplify]: Simplify (- 1) into -1 4.043 * [backup-simplify]: Simplify (+ 1 -1) into 0 4.044 * [backup-simplify]: Simplify 0 into 0 4.044 * [backup-simplify]: Simplify (- 0) into 0 4.044 * [backup-simplify]: Simplify (+ 0 0) into 0 4.045 * [backup-simplify]: Simplify 0 into 0 4.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.046 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 4.047 * [backup-simplify]: Simplify (+ 0 1) into 1 4.047 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 4.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 4.050 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 4.050 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 4.051 * [backup-simplify]: Simplify (+ (* 1 -1/4) (+ (* 0 0) (* -1/4 1))) into -1/2 4.052 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/4 1))) into -3/4 4.053 * [backup-simplify]: Simplify (/ (- -3/4 (pow 0 2) (+)) (* 2 1)) into -3/8 4.054 * [backup-simplify]: Simplify (- -3/8) into 3/8 4.054 * [backup-simplify]: Simplify (+ 0 3/8) into 3/8 4.054 * [backup-simplify]: Simplify 3/8 into 3/8 4.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.056 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 4.056 * [backup-simplify]: Simplify (+ 0 0) into 0 4.057 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 4.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 4.060 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 4.060 * [backup-simplify]: Simplify (+ 0 0) into 0 4.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/4) (+ (* -1/4 0) (* 0 1)))) into 0 4.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/4 0) (* 0 1)))) into 0 4.064 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -3/8)))) (* 2 1)) into 0 4.065 * [backup-simplify]: Simplify (- 0) into 0 4.065 * [backup-simplify]: Simplify (+ 0 0) into 0 4.065 * [backup-simplify]: Simplify 0 into 0 4.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.067 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.067 * [backup-simplify]: Simplify (+ 0 0) into 0 4.069 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 4.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 4.072 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 4.072 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 4.074 * [backup-simplify]: Simplify (+ (* 1 3/16) (+ (* 0 0) (+ (* -1/4 -1/4) (+ (* 0 0) (* 3/16 1))))) into 7/16 4.075 * [backup-simplify]: Simplify (+ (* 1 7/16) (+ (* 0 0) (+ (* -1/4 -1/2) (+ (* 0 0) (* 3/16 1))))) into 3/4 4.077 * [backup-simplify]: Simplify (/ (- 3/4 (pow -3/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 39/128 4.077 * [backup-simplify]: Simplify (- 39/128) into -39/128 4.078 * [backup-simplify]: Simplify (+ 0 -39/128) into -39/128 4.078 * [backup-simplify]: Simplify -39/128 into -39/128 4.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.080 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 4.081 * [backup-simplify]: Simplify (+ 0 0) into 0 4.082 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 4.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 4.086 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 4.087 * [backup-simplify]: Simplify (+ 0 0) into 0 4.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 3/16) (+ (* -1/4 0) (+ (* 0 -1/4) (+ (* 3/16 0) (* 0 1)))))) into 0 4.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 7/16) (+ (* -1/4 0) (+ (* 0 -1/2) (+ (* 3/16 0) (* 0 1)))))) into 0 4.093 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 39/128)) (* 2 (* -3/8 0)))) (* 2 1)) into 0 4.093 * [backup-simplify]: Simplify (- 0) into 0 4.093 * [backup-simplify]: Simplify (+ 0 0) into 0 4.093 * [backup-simplify]: Simplify 0 into 0 4.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.096 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 4.097 * [backup-simplify]: Simplify (+ 0 0) into 0 4.098 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 4.101 * [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 4.103 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 4.103 * [backup-simplify]: Simplify (+ -5/32 0) into -5/32 4.105 * [backup-simplify]: Simplify (+ (* 1 -5/32) (+ (* 0 0) (+ (* -1/4 3/16) (+ (* 0 0) (+ (* 3/16 -1/4) (+ (* 0 0) (* -5/32 1))))))) into -13/32 4.106 * [backup-simplify]: Simplify (+ (* 1 -13/32) (+ (* 0 0) (+ (* -1/4 7/16) (+ (* 0 0) (+ (* 3/16 -1/2) (+ (* 0 0) (* -5/32 1))))))) into -49/64 4.108 * [backup-simplify]: Simplify (/ (- -49/64 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -3/8 39/128)))) (* 2 1)) into -275/1024 4.109 * [backup-simplify]: Simplify (- -275/1024) into 275/1024 4.109 * [backup-simplify]: Simplify (+ 0 275/1024) into 275/1024 4.109 * [backup-simplify]: Simplify 275/1024 into 275/1024 4.110 * [backup-simplify]: Simplify (+ (* 275/1024 (pow x 6)) (+ (* -39/128 (pow x 4)) (* 3/8 (pow x 2)))) into (- (+ (* 3/8 (pow x 2)) (* 275/1024 (pow x 6))) (* 39/128 (pow x 4))) 4.110 * [backup-simplify]: Simplify (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x)))))) into (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) 4.110 * [approximate]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in (x) around 0 4.110 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in x 4.110 * [taylor]: Taking taylor expansion of 1 in x 4.110 * [backup-simplify]: Simplify 1 into 1 4.110 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 4.110 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 4.110 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 4.110 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 4.110 * [taylor]: Taking taylor expansion of 1/2 in x 4.110 * [backup-simplify]: Simplify 1/2 into 1/2 4.110 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 4.110 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 4.110 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 4.110 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 4.110 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.110 * [taylor]: Taking taylor expansion of 1 in x 4.111 * [backup-simplify]: Simplify 1 into 1 4.111 * [taylor]: Taking taylor expansion of 1 in x 4.111 * [backup-simplify]: Simplify 1 into 1 4.111 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.111 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.111 * [taylor]: Taking taylor expansion of x in x 4.111 * [backup-simplify]: Simplify 0 into 0 4.111 * [backup-simplify]: Simplify 1 into 1 4.111 * [backup-simplify]: Simplify (/ 1 1) into 1 4.111 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.111 * [taylor]: Taking taylor expansion of x in x 4.111 * [backup-simplify]: Simplify 0 into 0 4.111 * [backup-simplify]: Simplify 1 into 1 4.112 * [backup-simplify]: Simplify (/ 1 1) into 1 4.112 * [backup-simplify]: Simplify (* 1 1) into 1 4.112 * [backup-simplify]: Simplify (+ 0 1) into 1 4.113 * [backup-simplify]: Simplify (sqrt 1) into 1 4.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.115 * [backup-simplify]: Simplify (+ 0 0) into 0 4.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.116 * [backup-simplify]: Simplify (/ 1 1) into 1 4.116 * [taylor]: Taking taylor expansion of 1/2 in x 4.116 * [backup-simplify]: Simplify 1/2 into 1/2 4.117 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.117 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 4.118 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 4.118 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 4.119 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.119 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.120 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 4.120 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 4.122 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 4.122 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in x 4.122 * [taylor]: Taking taylor expansion of 1 in x 4.122 * [backup-simplify]: Simplify 1 into 1 4.122 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 4.122 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 4.122 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 4.122 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 4.122 * [taylor]: Taking taylor expansion of 1/2 in x 4.122 * [backup-simplify]: Simplify 1/2 into 1/2 4.122 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 4.122 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 4.122 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 4.122 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 4.122 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.122 * [taylor]: Taking taylor expansion of 1 in x 4.122 * [backup-simplify]: Simplify 1 into 1 4.122 * [taylor]: Taking taylor expansion of 1 in x 4.122 * [backup-simplify]: Simplify 1 into 1 4.122 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.122 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.122 * [taylor]: Taking taylor expansion of x in x 4.122 * [backup-simplify]: Simplify 0 into 0 4.122 * [backup-simplify]: Simplify 1 into 1 4.123 * [backup-simplify]: Simplify (/ 1 1) into 1 4.123 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.123 * [taylor]: Taking taylor expansion of x in x 4.123 * [backup-simplify]: Simplify 0 into 0 4.123 * [backup-simplify]: Simplify 1 into 1 4.123 * [backup-simplify]: Simplify (/ 1 1) into 1 4.123 * [backup-simplify]: Simplify (* 1 1) into 1 4.124 * [backup-simplify]: Simplify (+ 0 1) into 1 4.124 * [backup-simplify]: Simplify (sqrt 1) into 1 4.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.127 * [backup-simplify]: Simplify (+ 0 0) into 0 4.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.127 * [backup-simplify]: Simplify (/ 1 1) into 1 4.128 * [taylor]: Taking taylor expansion of 1/2 in x 4.128 * [backup-simplify]: Simplify 1/2 into 1/2 4.128 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.128 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 4.129 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 4.129 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 4.129 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.130 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.130 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 4.131 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 4.132 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 4.133 * [backup-simplify]: Simplify (- (sqrt 1/8)) into (- (sqrt 1/8)) 4.134 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/8))) into (- 1 (sqrt 1/8)) 4.135 * [backup-simplify]: Simplify (- 1 (sqrt 1/8)) into (- 1 (sqrt 1/8)) 4.137 * [backup-simplify]: Simplify (- (/ 3/16 (sqrt 1/8))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 4.140 * [backup-simplify]: Simplify (+ 0 (- (* 3/16 (/ 1 (sqrt 1/8))))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 4.141 * [backup-simplify]: Simplify (- (* 3/16 (/ 1 (sqrt 1/8)))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 4.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.142 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.143 * [backup-simplify]: Simplify (+ 0 0) into 0 4.143 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 4.144 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 4.149 * [backup-simplify]: Simplify (/ (- 3/8 (pow (/ 3/16 (sqrt 1/8)) 2) (+)) (* 2 (sqrt 1/8))) into (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) 4.154 * [backup-simplify]: Simplify (- (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) into (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) 4.158 * [backup-simplify]: Simplify (+ 0 (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8))))) into (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) 4.163 * [backup-simplify]: Simplify (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) into (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) 4.169 * [backup-simplify]: Simplify (+ (* (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) (pow (/ 1 x) 2)) (+ (* (- (* 3/16 (/ 1 (sqrt 1/8)))) (/ 1 x)) (- 1 (sqrt 1/8)))) into (- (+ (* 9/512 (/ 1 (* (pow x 2) (pow (sqrt 1/8) 3)))) 1) (+ (* 3/16 (/ 1 (* (pow x 2) (sqrt 1/8)))) (+ (* 3/16 (/ 1 (* x (sqrt 1/8)))) (sqrt 1/8)))) 4.170 * [backup-simplify]: Simplify (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))))) into (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) 4.170 * [approximate]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in (x) around 0 4.170 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in x 4.170 * [taylor]: Taking taylor expansion of 1 in x 4.170 * [backup-simplify]: Simplify 1 into 1 4.170 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 4.170 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 4.170 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 4.170 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 4.170 * [taylor]: Taking taylor expansion of 1/2 in x 4.170 * [backup-simplify]: Simplify 1/2 into 1/2 4.170 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 4.170 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 4.170 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 4.170 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 4.170 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.170 * [taylor]: Taking taylor expansion of 1 in x 4.170 * [backup-simplify]: Simplify 1 into 1 4.170 * [taylor]: Taking taylor expansion of 1 in x 4.170 * [backup-simplify]: Simplify 1 into 1 4.170 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.170 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.170 * [taylor]: Taking taylor expansion of -1 in x 4.170 * [backup-simplify]: Simplify -1 into -1 4.170 * [taylor]: Taking taylor expansion of x in x 4.170 * [backup-simplify]: Simplify 0 into 0 4.171 * [backup-simplify]: Simplify 1 into 1 4.171 * [backup-simplify]: Simplify (/ -1 1) into -1 4.171 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.171 * [taylor]: Taking taylor expansion of -1 in x 4.171 * [backup-simplify]: Simplify -1 into -1 4.171 * [taylor]: Taking taylor expansion of x in x 4.171 * [backup-simplify]: Simplify 0 into 0 4.171 * [backup-simplify]: Simplify 1 into 1 4.171 * [backup-simplify]: Simplify (/ -1 1) into -1 4.172 * [backup-simplify]: Simplify (* -1 -1) into 1 4.172 * [backup-simplify]: Simplify (+ 0 1) into 1 4.172 * [backup-simplify]: Simplify (sqrt 1) into 1 4.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.174 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.174 * [backup-simplify]: Simplify (+ 0 0) into 0 4.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.175 * [backup-simplify]: Simplify (/ 1 1) into 1 4.175 * [taylor]: Taking taylor expansion of 1/2 in x 4.175 * [backup-simplify]: Simplify 1/2 into 1/2 4.175 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.175 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 4.175 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 4.176 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 4.176 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.176 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.176 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 4.177 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 4.178 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 4.178 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in x 4.178 * [taylor]: Taking taylor expansion of 1 in x 4.178 * [backup-simplify]: Simplify 1 into 1 4.178 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 4.178 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 4.178 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 4.178 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 4.178 * [taylor]: Taking taylor expansion of 1/2 in x 4.178 * [backup-simplify]: Simplify 1/2 into 1/2 4.178 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 4.178 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 4.178 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 4.178 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 4.178 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.178 * [taylor]: Taking taylor expansion of 1 in x 4.178 * [backup-simplify]: Simplify 1 into 1 4.178 * [taylor]: Taking taylor expansion of 1 in x 4.178 * [backup-simplify]: Simplify 1 into 1 4.178 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.178 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.178 * [taylor]: Taking taylor expansion of -1 in x 4.178 * [backup-simplify]: Simplify -1 into -1 4.178 * [taylor]: Taking taylor expansion of x in x 4.178 * [backup-simplify]: Simplify 0 into 0 4.178 * [backup-simplify]: Simplify 1 into 1 4.178 * [backup-simplify]: Simplify (/ -1 1) into -1 4.178 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.178 * [taylor]: Taking taylor expansion of -1 in x 4.178 * [backup-simplify]: Simplify -1 into -1 4.178 * [taylor]: Taking taylor expansion of x in x 4.178 * [backup-simplify]: Simplify 0 into 0 4.179 * [backup-simplify]: Simplify 1 into 1 4.179 * [backup-simplify]: Simplify (/ -1 1) into -1 4.179 * [backup-simplify]: Simplify (* -1 -1) into 1 4.179 * [backup-simplify]: Simplify (+ 0 1) into 1 4.179 * [backup-simplify]: Simplify (sqrt 1) into 1 4.180 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.180 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.181 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.181 * [backup-simplify]: Simplify (+ 0 0) into 0 4.181 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.182 * [backup-simplify]: Simplify (/ 1 1) into 1 4.182 * [taylor]: Taking taylor expansion of 1/2 in x 4.182 * [backup-simplify]: Simplify 1/2 into 1/2 4.182 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.182 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 4.183 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 4.183 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 4.183 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.183 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.184 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 4.184 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 4.185 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 4.185 * [backup-simplify]: Simplify (- (sqrt 1/8)) into (- (sqrt 1/8)) 4.186 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/8))) into (- 1 (sqrt 1/8)) 4.187 * [backup-simplify]: Simplify (- 1 (sqrt 1/8)) into (- 1 (sqrt 1/8)) 4.188 * [backup-simplify]: Simplify (- (/ 3/16 (sqrt 1/8))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 4.190 * [backup-simplify]: Simplify (+ 0 (- (* 3/16 (/ 1 (sqrt 1/8))))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 4.192 * [backup-simplify]: Simplify (- (* 3/16 (/ 1 (sqrt 1/8)))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 4.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.194 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.194 * [backup-simplify]: Simplify (+ 0 0) into 0 4.195 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 4.196 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 4.201 * [backup-simplify]: Simplify (/ (- 3/8 (pow (/ 3/16 (sqrt 1/8)) 2) (+)) (* 2 (sqrt 1/8))) into (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) 4.209 * [backup-simplify]: Simplify (- (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) into (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) 4.216 * [backup-simplify]: Simplify (+ 0 (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8))))) into (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) 4.220 * [backup-simplify]: Simplify (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) into (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) 4.227 * [backup-simplify]: Simplify (+ (* (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) (pow (/ 1 (- x)) 2)) (+ (* (- (* 3/16 (/ 1 (sqrt 1/8)))) (/ 1 (- x))) (- 1 (sqrt 1/8)))) into (- (+ (* 9/512 (/ 1 (* (pow x 2) (pow (sqrt 1/8) 3)))) (+ (* 3/16 (/ 1 (* x (sqrt 1/8)))) 1)) (+ (* 3/16 (/ 1 (* (pow x 2) (sqrt 1/8)))) (sqrt 1/8))) 4.227 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 2) 4.227 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 4.227 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 4.227 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 4.227 * [taylor]: Taking taylor expansion of 1/2 in x 4.227 * [backup-simplify]: Simplify 1/2 into 1/2 4.227 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 4.227 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 4.227 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 4.227 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.227 * [taylor]: Taking taylor expansion of 1 in x 4.227 * [backup-simplify]: Simplify 1 into 1 4.227 * [taylor]: Taking taylor expansion of 1 in x 4.227 * [backup-simplify]: Simplify 1 into 1 4.227 * [taylor]: Taking taylor expansion of (* x x) in x 4.227 * [taylor]: Taking taylor expansion of x in x 4.227 * [backup-simplify]: Simplify 0 into 0 4.227 * [backup-simplify]: Simplify 1 into 1 4.227 * [taylor]: Taking taylor expansion of x in x 4.227 * [backup-simplify]: Simplify 0 into 0 4.228 * [backup-simplify]: Simplify 1 into 1 4.228 * [backup-simplify]: Simplify (* 1 1) into 1 4.228 * [backup-simplify]: Simplify (* 0 0) into 0 4.229 * [backup-simplify]: Simplify (+ 1 0) into 1 4.229 * [backup-simplify]: Simplify (sqrt 1) into 1 4.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.230 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.230 * [backup-simplify]: Simplify (+ 0 0) into 0 4.231 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.231 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.231 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 4.231 * [taylor]: Taking taylor expansion of 1/2 in x 4.232 * [backup-simplify]: Simplify 1/2 into 1/2 4.232 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 4.232 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 4.232 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 4.232 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.232 * [taylor]: Taking taylor expansion of 1 in x 4.232 * [backup-simplify]: Simplify 1 into 1 4.232 * [taylor]: Taking taylor expansion of 1 in x 4.232 * [backup-simplify]: Simplify 1 into 1 4.232 * [taylor]: Taking taylor expansion of (* x x) in x 4.232 * [taylor]: Taking taylor expansion of x in x 4.232 * [backup-simplify]: Simplify 0 into 0 4.232 * [backup-simplify]: Simplify 1 into 1 4.232 * [taylor]: Taking taylor expansion of x in x 4.232 * [backup-simplify]: Simplify 0 into 0 4.232 * [backup-simplify]: Simplify 1 into 1 4.232 * [backup-simplify]: Simplify (* 1 1) into 1 4.233 * [backup-simplify]: Simplify (* 0 0) into 0 4.233 * [backup-simplify]: Simplify (+ 1 0) into 1 4.233 * [backup-simplify]: Simplify (sqrt 1) into 1 4.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.234 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.235 * [backup-simplify]: Simplify (+ 0 0) into 0 4.235 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.236 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.236 * [backup-simplify]: Simplify 1/2 into 1/2 4.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.237 * [backup-simplify]: Simplify 0 into 0 4.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.238 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 4.239 * [backup-simplify]: Simplify (+ 0 1) into 1 4.240 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 4.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 4.241 * [backup-simplify]: Simplify -1/4 into -1/4 4.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.243 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 4.243 * [backup-simplify]: Simplify (+ 0 0) into 0 4.244 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 4.245 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 4.245 * [backup-simplify]: Simplify 0 into 0 4.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.246 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.246 * [backup-simplify]: Simplify (+ 0 0) into 0 4.247 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 4.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 4.248 * [backup-simplify]: Simplify 3/16 into 3/16 4.248 * [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))) 4.248 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 4.248 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 4.248 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 4.248 * [taylor]: Taking taylor expansion of 1/2 in x 4.248 * [backup-simplify]: Simplify 1/2 into 1/2 4.248 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 4.249 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 4.249 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 4.249 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.249 * [taylor]: Taking taylor expansion of 1 in x 4.249 * [backup-simplify]: Simplify 1 into 1 4.249 * [taylor]: Taking taylor expansion of 1 in x 4.249 * [backup-simplify]: Simplify 1 into 1 4.249 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.249 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.249 * [taylor]: Taking taylor expansion of x in x 4.249 * [backup-simplify]: Simplify 0 into 0 4.249 * [backup-simplify]: Simplify 1 into 1 4.249 * [backup-simplify]: Simplify (/ 1 1) into 1 4.249 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.249 * [taylor]: Taking taylor expansion of x in x 4.249 * [backup-simplify]: Simplify 0 into 0 4.249 * [backup-simplify]: Simplify 1 into 1 4.249 * [backup-simplify]: Simplify (/ 1 1) into 1 4.250 * [backup-simplify]: Simplify (* 1 1) into 1 4.250 * [backup-simplify]: Simplify (+ 0 1) into 1 4.250 * [backup-simplify]: Simplify (sqrt 1) into 1 4.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.253 * [backup-simplify]: Simplify (+ 0 0) into 0 4.253 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.254 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.254 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 4.254 * [taylor]: Taking taylor expansion of 1/2 in x 4.254 * [backup-simplify]: Simplify 1/2 into 1/2 4.254 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 4.254 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 4.254 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 4.254 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.254 * [taylor]: Taking taylor expansion of 1 in x 4.254 * [backup-simplify]: Simplify 1 into 1 4.254 * [taylor]: Taking taylor expansion of 1 in x 4.254 * [backup-simplify]: Simplify 1 into 1 4.254 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.254 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.254 * [taylor]: Taking taylor expansion of x in x 4.254 * [backup-simplify]: Simplify 0 into 0 4.254 * [backup-simplify]: Simplify 1 into 1 4.255 * [backup-simplify]: Simplify (/ 1 1) into 1 4.255 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.255 * [taylor]: Taking taylor expansion of x in x 4.255 * [backup-simplify]: Simplify 0 into 0 4.255 * [backup-simplify]: Simplify 1 into 1 4.255 * [backup-simplify]: Simplify (/ 1 1) into 1 4.255 * [backup-simplify]: Simplify (* 1 1) into 1 4.256 * [backup-simplify]: Simplify (+ 0 1) into 1 4.256 * [backup-simplify]: Simplify (sqrt 1) into 1 4.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.258 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.258 * [backup-simplify]: Simplify (+ 0 0) into 0 4.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.259 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.260 * [backup-simplify]: Simplify 1/2 into 1/2 4.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.260 * [backup-simplify]: Simplify 0 into 0 4.261 * [backup-simplify]: Simplify (* 1 1) into 1 4.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.264 * [backup-simplify]: Simplify (+ 1 0) into 1 4.265 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 4.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 4.266 * [backup-simplify]: Simplify -1/4 into -1/4 4.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.271 * [backup-simplify]: Simplify (+ 0 0) into 0 4.271 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 4.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 4.272 * [backup-simplify]: Simplify 0 into 0 4.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.274 * [backup-simplify]: Simplify (+ 0 0) into 0 4.275 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 4.276 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 4.276 * [backup-simplify]: Simplify 3/16 into 3/16 4.276 * [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)))) 4.277 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 4.277 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 4.277 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 4.277 * [taylor]: Taking taylor expansion of 1/2 in x 4.277 * [backup-simplify]: Simplify 1/2 into 1/2 4.277 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 4.277 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 4.277 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 4.277 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.277 * [taylor]: Taking taylor expansion of 1 in x 4.277 * [backup-simplify]: Simplify 1 into 1 4.277 * [taylor]: Taking taylor expansion of 1 in x 4.277 * [backup-simplify]: Simplify 1 into 1 4.277 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.277 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.277 * [taylor]: Taking taylor expansion of -1 in x 4.277 * [backup-simplify]: Simplify -1 into -1 4.277 * [taylor]: Taking taylor expansion of x in x 4.277 * [backup-simplify]: Simplify 0 into 0 4.277 * [backup-simplify]: Simplify 1 into 1 4.277 * [backup-simplify]: Simplify (/ -1 1) into -1 4.277 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.277 * [taylor]: Taking taylor expansion of -1 in x 4.277 * [backup-simplify]: Simplify -1 into -1 4.277 * [taylor]: Taking taylor expansion of x in x 4.277 * [backup-simplify]: Simplify 0 into 0 4.277 * [backup-simplify]: Simplify 1 into 1 4.278 * [backup-simplify]: Simplify (/ -1 1) into -1 4.278 * [backup-simplify]: Simplify (* -1 -1) into 1 4.278 * [backup-simplify]: Simplify (+ 0 1) into 1 4.278 * [backup-simplify]: Simplify (sqrt 1) into 1 4.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.280 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.280 * [backup-simplify]: Simplify (+ 0 0) into 0 4.280 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.281 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.281 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 4.281 * [taylor]: Taking taylor expansion of 1/2 in x 4.281 * [backup-simplify]: Simplify 1/2 into 1/2 4.281 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 4.281 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 4.281 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 4.281 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.281 * [taylor]: Taking taylor expansion of 1 in x 4.281 * [backup-simplify]: Simplify 1 into 1 4.281 * [taylor]: Taking taylor expansion of 1 in x 4.281 * [backup-simplify]: Simplify 1 into 1 4.281 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.281 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.281 * [taylor]: Taking taylor expansion of -1 in x 4.281 * [backup-simplify]: Simplify -1 into -1 4.281 * [taylor]: Taking taylor expansion of x in x 4.281 * [backup-simplify]: Simplify 0 into 0 4.281 * [backup-simplify]: Simplify 1 into 1 4.281 * [backup-simplify]: Simplify (/ -1 1) into -1 4.281 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.281 * [taylor]: Taking taylor expansion of -1 in x 4.281 * [backup-simplify]: Simplify -1 into -1 4.281 * [taylor]: Taking taylor expansion of x in x 4.281 * [backup-simplify]: Simplify 0 into 0 4.281 * [backup-simplify]: Simplify 1 into 1 4.281 * [backup-simplify]: Simplify (/ -1 1) into -1 4.282 * [backup-simplify]: Simplify (* -1 -1) into 1 4.282 * [backup-simplify]: Simplify (+ 0 1) into 1 4.282 * [backup-simplify]: Simplify (sqrt 1) into 1 4.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.284 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.284 * [backup-simplify]: Simplify (+ 0 0) into 0 4.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.284 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.285 * [backup-simplify]: Simplify 1/2 into 1/2 4.285 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.285 * [backup-simplify]: Simplify 0 into 0 4.285 * [backup-simplify]: Simplify (* 1 1) into 1 4.286 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.286 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.287 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 4.287 * [backup-simplify]: Simplify (+ 1 0) into 1 4.288 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 4.288 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 4.288 * [backup-simplify]: Simplify -1/4 into -1/4 4.289 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.291 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 4.291 * [backup-simplify]: Simplify (+ 0 0) into 0 4.292 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 4.293 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 4.293 * [backup-simplify]: Simplify 0 into 0 4.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.295 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 4.295 * [backup-simplify]: Simplify (+ 0 0) into 0 4.296 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 4.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 4.297 * [backup-simplify]: Simplify 3/16 into 3/16 4.297 * [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)))) 4.297 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2) 4.297 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 4.297 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 4.297 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 4.297 * [taylor]: Taking taylor expansion of 1/2 in x 4.297 * [backup-simplify]: Simplify 1/2 into 1/2 4.297 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 4.297 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 4.297 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 4.297 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.297 * [taylor]: Taking taylor expansion of 1 in x 4.297 * [backup-simplify]: Simplify 1 into 1 4.298 * [taylor]: Taking taylor expansion of 1 in x 4.298 * [backup-simplify]: Simplify 1 into 1 4.298 * [taylor]: Taking taylor expansion of (* x x) in x 4.298 * [taylor]: Taking taylor expansion of x in x 4.298 * [backup-simplify]: Simplify 0 into 0 4.298 * [backup-simplify]: Simplify 1 into 1 4.298 * [taylor]: Taking taylor expansion of x in x 4.298 * [backup-simplify]: Simplify 0 into 0 4.298 * [backup-simplify]: Simplify 1 into 1 4.298 * [backup-simplify]: Simplify (* 1 1) into 1 4.298 * [backup-simplify]: Simplify (* 0 0) into 0 4.298 * [backup-simplify]: Simplify (+ 1 0) into 1 4.299 * [backup-simplify]: Simplify (sqrt 1) into 1 4.299 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.299 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.300 * [backup-simplify]: Simplify (+ 0 0) into 0 4.300 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.300 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.300 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 4.300 * [taylor]: Taking taylor expansion of 1/2 in x 4.300 * [backup-simplify]: Simplify 1/2 into 1/2 4.300 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 4.300 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 4.300 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 4.300 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.300 * [taylor]: Taking taylor expansion of 1 in x 4.300 * [backup-simplify]: Simplify 1 into 1 4.300 * [taylor]: Taking taylor expansion of 1 in x 4.300 * [backup-simplify]: Simplify 1 into 1 4.300 * [taylor]: Taking taylor expansion of (* x x) in x 4.301 * [taylor]: Taking taylor expansion of x in x 4.301 * [backup-simplify]: Simplify 0 into 0 4.301 * [backup-simplify]: Simplify 1 into 1 4.301 * [taylor]: Taking taylor expansion of x in x 4.301 * [backup-simplify]: Simplify 0 into 0 4.301 * [backup-simplify]: Simplify 1 into 1 4.301 * [backup-simplify]: Simplify (* 1 1) into 1 4.301 * [backup-simplify]: Simplify (* 0 0) into 0 4.301 * [backup-simplify]: Simplify (+ 1 0) into 1 4.302 * [backup-simplify]: Simplify (sqrt 1) into 1 4.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.302 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.303 * [backup-simplify]: Simplify (+ 0 0) into 0 4.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.303 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.303 * [backup-simplify]: Simplify 1/2 into 1/2 4.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.304 * [backup-simplify]: Simplify 0 into 0 4.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.305 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 4.305 * [backup-simplify]: Simplify (+ 0 1) into 1 4.306 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 4.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 4.306 * [backup-simplify]: Simplify -1/4 into -1/4 4.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.308 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 4.308 * [backup-simplify]: Simplify (+ 0 0) into 0 4.309 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 4.309 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 4.309 * [backup-simplify]: Simplify 0 into 0 4.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.311 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.311 * [backup-simplify]: Simplify (+ 0 0) into 0 4.312 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 4.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 4.313 * [backup-simplify]: Simplify 3/16 into 3/16 4.313 * [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))) 4.313 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 4.313 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 4.313 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 4.313 * [taylor]: Taking taylor expansion of 1/2 in x 4.313 * [backup-simplify]: Simplify 1/2 into 1/2 4.313 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 4.313 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 4.313 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 4.313 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.313 * [taylor]: Taking taylor expansion of 1 in x 4.313 * [backup-simplify]: Simplify 1 into 1 4.313 * [taylor]: Taking taylor expansion of 1 in x 4.313 * [backup-simplify]: Simplify 1 into 1 4.313 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.313 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.313 * [taylor]: Taking taylor expansion of x in x 4.313 * [backup-simplify]: Simplify 0 into 0 4.313 * [backup-simplify]: Simplify 1 into 1 4.314 * [backup-simplify]: Simplify (/ 1 1) into 1 4.314 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.314 * [taylor]: Taking taylor expansion of x in x 4.314 * [backup-simplify]: Simplify 0 into 0 4.314 * [backup-simplify]: Simplify 1 into 1 4.314 * [backup-simplify]: Simplify (/ 1 1) into 1 4.314 * [backup-simplify]: Simplify (* 1 1) into 1 4.314 * [backup-simplify]: Simplify (+ 0 1) into 1 4.315 * [backup-simplify]: Simplify (sqrt 1) into 1 4.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.316 * [backup-simplify]: Simplify (+ 0 0) into 0 4.317 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.317 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.317 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 4.317 * [taylor]: Taking taylor expansion of 1/2 in x 4.317 * [backup-simplify]: Simplify 1/2 into 1/2 4.317 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 4.317 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 4.317 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 4.317 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.317 * [taylor]: Taking taylor expansion of 1 in x 4.317 * [backup-simplify]: Simplify 1 into 1 4.317 * [taylor]: Taking taylor expansion of 1 in x 4.317 * [backup-simplify]: Simplify 1 into 1 4.317 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.317 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.317 * [taylor]: Taking taylor expansion of x in x 4.317 * [backup-simplify]: Simplify 0 into 0 4.317 * [backup-simplify]: Simplify 1 into 1 4.317 * [backup-simplify]: Simplify (/ 1 1) into 1 4.317 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.317 * [taylor]: Taking taylor expansion of x in x 4.317 * [backup-simplify]: Simplify 0 into 0 4.317 * [backup-simplify]: Simplify 1 into 1 4.318 * [backup-simplify]: Simplify (/ 1 1) into 1 4.318 * [backup-simplify]: Simplify (* 1 1) into 1 4.318 * [backup-simplify]: Simplify (+ 0 1) into 1 4.318 * [backup-simplify]: Simplify (sqrt 1) into 1 4.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.320 * [backup-simplify]: Simplify (+ 0 0) into 0 4.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.321 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.321 * [backup-simplify]: Simplify 1/2 into 1/2 4.321 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.321 * [backup-simplify]: Simplify 0 into 0 4.321 * [backup-simplify]: Simplify (* 1 1) into 1 4.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.323 * [backup-simplify]: Simplify (+ 1 0) into 1 4.324 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 4.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 4.324 * [backup-simplify]: Simplify -1/4 into -1/4 4.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.327 * [backup-simplify]: Simplify (+ 0 0) into 0 4.327 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 4.328 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 4.328 * [backup-simplify]: Simplify 0 into 0 4.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.331 * [backup-simplify]: Simplify (+ 0 0) into 0 4.332 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 4.332 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 4.332 * [backup-simplify]: Simplify 3/16 into 3/16 4.333 * [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)))) 4.333 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 4.333 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 4.333 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 4.333 * [taylor]: Taking taylor expansion of 1/2 in x 4.333 * [backup-simplify]: Simplify 1/2 into 1/2 4.333 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 4.333 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 4.333 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 4.333 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.333 * [taylor]: Taking taylor expansion of 1 in x 4.333 * [backup-simplify]: Simplify 1 into 1 4.333 * [taylor]: Taking taylor expansion of 1 in x 4.333 * [backup-simplify]: Simplify 1 into 1 4.333 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.333 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.333 * [taylor]: Taking taylor expansion of -1 in x 4.333 * [backup-simplify]: Simplify -1 into -1 4.333 * [taylor]: Taking taylor expansion of x in x 4.333 * [backup-simplify]: Simplify 0 into 0 4.333 * [backup-simplify]: Simplify 1 into 1 4.333 * [backup-simplify]: Simplify (/ -1 1) into -1 4.333 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.333 * [taylor]: Taking taylor expansion of -1 in x 4.333 * [backup-simplify]: Simplify -1 into -1 4.333 * [taylor]: Taking taylor expansion of x in x 4.334 * [backup-simplify]: Simplify 0 into 0 4.334 * [backup-simplify]: Simplify 1 into 1 4.334 * [backup-simplify]: Simplify (/ -1 1) into -1 4.334 * [backup-simplify]: Simplify (* -1 -1) into 1 4.334 * [backup-simplify]: Simplify (+ 0 1) into 1 4.335 * [backup-simplify]: Simplify (sqrt 1) into 1 4.335 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.335 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.336 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.336 * [backup-simplify]: Simplify (+ 0 0) into 0 4.337 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.337 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.337 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 4.337 * [taylor]: Taking taylor expansion of 1/2 in x 4.337 * [backup-simplify]: Simplify 1/2 into 1/2 4.337 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 4.337 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 4.337 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 4.337 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.337 * [taylor]: Taking taylor expansion of 1 in x 4.337 * [backup-simplify]: Simplify 1 into 1 4.337 * [taylor]: Taking taylor expansion of 1 in x 4.337 * [backup-simplify]: Simplify 1 into 1 4.337 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.337 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.337 * [taylor]: Taking taylor expansion of -1 in x 4.337 * [backup-simplify]: Simplify -1 into -1 4.337 * [taylor]: Taking taylor expansion of x in x 4.337 * [backup-simplify]: Simplify 0 into 0 4.337 * [backup-simplify]: Simplify 1 into 1 4.337 * [backup-simplify]: Simplify (/ -1 1) into -1 4.337 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.337 * [taylor]: Taking taylor expansion of -1 in x 4.337 * [backup-simplify]: Simplify -1 into -1 4.337 * [taylor]: Taking taylor expansion of x in x 4.337 * [backup-simplify]: Simplify 0 into 0 4.337 * [backup-simplify]: Simplify 1 into 1 4.338 * [backup-simplify]: Simplify (/ -1 1) into -1 4.338 * [backup-simplify]: Simplify (* -1 -1) into 1 4.338 * [backup-simplify]: Simplify (+ 0 1) into 1 4.338 * [backup-simplify]: Simplify (sqrt 1) into 1 4.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.340 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.340 * [backup-simplify]: Simplify (+ 0 0) into 0 4.341 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.341 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.341 * [backup-simplify]: Simplify 1/2 into 1/2 4.342 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.342 * [backup-simplify]: Simplify 0 into 0 4.342 * [backup-simplify]: Simplify (* 1 1) into 1 4.342 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.343 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 4.344 * [backup-simplify]: Simplify (+ 1 0) into 1 4.344 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 4.345 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 4.345 * [backup-simplify]: Simplify -1/4 into -1/4 4.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.346 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.346 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.347 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 4.347 * [backup-simplify]: Simplify (+ 0 0) into 0 4.348 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 4.349 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 4.349 * [backup-simplify]: Simplify 0 into 0 4.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.350 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.350 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.351 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 4.351 * [backup-simplify]: Simplify (+ 0 0) into 0 4.352 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 4.354 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 4.354 * [backup-simplify]: Simplify 3/16 into 3/16 4.355 * [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)))) 4.355 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2 2) 4.355 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 4.355 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 4.355 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 4.355 * [taylor]: Taking taylor expansion of 1/2 in x 4.355 * [backup-simplify]: Simplify 1/2 into 1/2 4.355 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 4.355 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 4.355 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 4.355 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.355 * [taylor]: Taking taylor expansion of 1 in x 4.355 * [backup-simplify]: Simplify 1 into 1 4.355 * [taylor]: Taking taylor expansion of 1 in x 4.355 * [backup-simplify]: Simplify 1 into 1 4.355 * [taylor]: Taking taylor expansion of (* x x) in x 4.355 * [taylor]: Taking taylor expansion of x in x 4.355 * [backup-simplify]: Simplify 0 into 0 4.355 * [backup-simplify]: Simplify 1 into 1 4.355 * [taylor]: Taking taylor expansion of x in x 4.355 * [backup-simplify]: Simplify 0 into 0 4.355 * [backup-simplify]: Simplify 1 into 1 4.355 * [backup-simplify]: Simplify (* 1 1) into 1 4.356 * [backup-simplify]: Simplify (* 0 0) into 0 4.356 * [backup-simplify]: Simplify (+ 1 0) into 1 4.356 * [backup-simplify]: Simplify (sqrt 1) into 1 4.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.357 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.357 * [backup-simplify]: Simplify (+ 0 0) into 0 4.358 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.358 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.358 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 4.358 * [taylor]: Taking taylor expansion of 1/2 in x 4.358 * [backup-simplify]: Simplify 1/2 into 1/2 4.358 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 4.358 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 4.358 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 4.358 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.358 * [taylor]: Taking taylor expansion of 1 in x 4.358 * [backup-simplify]: Simplify 1 into 1 4.358 * [taylor]: Taking taylor expansion of 1 in x 4.358 * [backup-simplify]: Simplify 1 into 1 4.358 * [taylor]: Taking taylor expansion of (* x x) in x 4.358 * [taylor]: Taking taylor expansion of x in x 4.358 * [backup-simplify]: Simplify 0 into 0 4.358 * [backup-simplify]: Simplify 1 into 1 4.358 * [taylor]: Taking taylor expansion of x in x 4.358 * [backup-simplify]: Simplify 0 into 0 4.358 * [backup-simplify]: Simplify 1 into 1 4.358 * [backup-simplify]: Simplify (* 1 1) into 1 4.359 * [backup-simplify]: Simplify (* 0 0) into 0 4.359 * [backup-simplify]: Simplify (+ 1 0) into 1 4.359 * [backup-simplify]: Simplify (sqrt 1) into 1 4.359 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.360 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.360 * [backup-simplify]: Simplify (+ 0 0) into 0 4.361 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.361 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.361 * [backup-simplify]: Simplify 1/2 into 1/2 4.362 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.362 * [backup-simplify]: Simplify 0 into 0 4.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.363 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 4.364 * [backup-simplify]: Simplify (+ 0 1) into 1 4.365 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 4.366 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 4.366 * [backup-simplify]: Simplify -1/4 into -1/4 4.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.367 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 4.368 * [backup-simplify]: Simplify (+ 0 0) into 0 4.369 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 4.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 4.370 * [backup-simplify]: Simplify 0 into 0 4.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.372 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.372 * [backup-simplify]: Simplify (+ 0 0) into 0 4.374 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 4.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 4.375 * [backup-simplify]: Simplify 3/16 into 3/16 4.375 * [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))) 4.376 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 4.376 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 4.376 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 4.376 * [taylor]: Taking taylor expansion of 1/2 in x 4.376 * [backup-simplify]: Simplify 1/2 into 1/2 4.376 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 4.376 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 4.376 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 4.376 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.376 * [taylor]: Taking taylor expansion of 1 in x 4.376 * [backup-simplify]: Simplify 1 into 1 4.376 * [taylor]: Taking taylor expansion of 1 in x 4.376 * [backup-simplify]: Simplify 1 into 1 4.376 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.376 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.376 * [taylor]: Taking taylor expansion of x in x 4.376 * [backup-simplify]: Simplify 0 into 0 4.376 * [backup-simplify]: Simplify 1 into 1 4.376 * [backup-simplify]: Simplify (/ 1 1) into 1 4.376 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.376 * [taylor]: Taking taylor expansion of x in x 4.376 * [backup-simplify]: Simplify 0 into 0 4.376 * [backup-simplify]: Simplify 1 into 1 4.377 * [backup-simplify]: Simplify (/ 1 1) into 1 4.377 * [backup-simplify]: Simplify (* 1 1) into 1 4.377 * [backup-simplify]: Simplify (+ 0 1) into 1 4.378 * [backup-simplify]: Simplify (sqrt 1) into 1 4.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.380 * [backup-simplify]: Simplify (+ 0 0) into 0 4.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.381 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.381 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 4.381 * [taylor]: Taking taylor expansion of 1/2 in x 4.381 * [backup-simplify]: Simplify 1/2 into 1/2 4.381 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 4.381 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 4.381 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 4.381 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.381 * [taylor]: Taking taylor expansion of 1 in x 4.381 * [backup-simplify]: Simplify 1 into 1 4.381 * [taylor]: Taking taylor expansion of 1 in x 4.381 * [backup-simplify]: Simplify 1 into 1 4.381 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.381 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.381 * [taylor]: Taking taylor expansion of x in x 4.381 * [backup-simplify]: Simplify 0 into 0 4.382 * [backup-simplify]: Simplify 1 into 1 4.382 * [backup-simplify]: Simplify (/ 1 1) into 1 4.382 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.382 * [taylor]: Taking taylor expansion of x in x 4.382 * [backup-simplify]: Simplify 0 into 0 4.382 * [backup-simplify]: Simplify 1 into 1 4.382 * [backup-simplify]: Simplify (/ 1 1) into 1 4.383 * [backup-simplify]: Simplify (* 1 1) into 1 4.383 * [backup-simplify]: Simplify (+ 0 1) into 1 4.383 * [backup-simplify]: Simplify (sqrt 1) into 1 4.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.386 * [backup-simplify]: Simplify (+ 0 0) into 0 4.386 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.387 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.387 * [backup-simplify]: Simplify 1/2 into 1/2 4.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.387 * [backup-simplify]: Simplify 0 into 0 4.388 * [backup-simplify]: Simplify (* 1 1) into 1 4.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.391 * [backup-simplify]: Simplify (+ 1 0) into 1 4.392 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 4.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 4.393 * [backup-simplify]: Simplify -1/4 into -1/4 4.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.397 * [backup-simplify]: Simplify (+ 0 0) into 0 4.398 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 4.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 4.399 * [backup-simplify]: Simplify 0 into 0 4.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.403 * [backup-simplify]: Simplify (+ 0 0) into 0 4.404 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 4.405 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 4.405 * [backup-simplify]: Simplify 3/16 into 3/16 4.406 * [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)))) 4.406 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 4.406 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 4.406 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 4.406 * [taylor]: Taking taylor expansion of 1/2 in x 4.406 * [backup-simplify]: Simplify 1/2 into 1/2 4.406 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 4.406 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 4.406 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 4.406 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.406 * [taylor]: Taking taylor expansion of 1 in x 4.406 * [backup-simplify]: Simplify 1 into 1 4.406 * [taylor]: Taking taylor expansion of 1 in x 4.406 * [backup-simplify]: Simplify 1 into 1 4.406 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.406 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.406 * [taylor]: Taking taylor expansion of -1 in x 4.406 * [backup-simplify]: Simplify -1 into -1 4.406 * [taylor]: Taking taylor expansion of x in x 4.406 * [backup-simplify]: Simplify 0 into 0 4.406 * [backup-simplify]: Simplify 1 into 1 4.407 * [backup-simplify]: Simplify (/ -1 1) into -1 4.407 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.407 * [taylor]: Taking taylor expansion of -1 in x 4.407 * [backup-simplify]: Simplify -1 into -1 4.407 * [taylor]: Taking taylor expansion of x in x 4.407 * [backup-simplify]: Simplify 0 into 0 4.407 * [backup-simplify]: Simplify 1 into 1 4.407 * [backup-simplify]: Simplify (/ -1 1) into -1 4.408 * [backup-simplify]: Simplify (* -1 -1) into 1 4.408 * [backup-simplify]: Simplify (+ 0 1) into 1 4.408 * [backup-simplify]: Simplify (sqrt 1) into 1 4.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.410 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.410 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.411 * [backup-simplify]: Simplify (+ 0 0) into 0 4.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.412 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.412 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 4.412 * [taylor]: Taking taylor expansion of 1/2 in x 4.412 * [backup-simplify]: Simplify 1/2 into 1/2 4.412 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 4.412 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 4.412 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 4.412 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.412 * [taylor]: Taking taylor expansion of 1 in x 4.412 * [backup-simplify]: Simplify 1 into 1 4.412 * [taylor]: Taking taylor expansion of 1 in x 4.412 * [backup-simplify]: Simplify 1 into 1 4.412 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.412 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.412 * [taylor]: Taking taylor expansion of -1 in x 4.412 * [backup-simplify]: Simplify -1 into -1 4.412 * [taylor]: Taking taylor expansion of x in x 4.412 * [backup-simplify]: Simplify 0 into 0 4.412 * [backup-simplify]: Simplify 1 into 1 4.413 * [backup-simplify]: Simplify (/ -1 1) into -1 4.413 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.413 * [taylor]: Taking taylor expansion of -1 in x 4.413 * [backup-simplify]: Simplify -1 into -1 4.413 * [taylor]: Taking taylor expansion of x in x 4.413 * [backup-simplify]: Simplify 0 into 0 4.413 * [backup-simplify]: Simplify 1 into 1 4.413 * [backup-simplify]: Simplify (/ -1 1) into -1 4.413 * [backup-simplify]: Simplify (* -1 -1) into 1 4.414 * [backup-simplify]: Simplify (+ 0 1) into 1 4.414 * [backup-simplify]: Simplify (sqrt 1) into 1 4.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.416 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.416 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.417 * [backup-simplify]: Simplify (+ 0 0) into 0 4.417 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.418 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.418 * [backup-simplify]: Simplify 1/2 into 1/2 4.418 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.419 * [backup-simplify]: Simplify 0 into 0 4.419 * [backup-simplify]: Simplify (* 1 1) into 1 4.420 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.421 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 4.422 * [backup-simplify]: Simplify (+ 1 0) into 1 4.423 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 4.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 4.424 * [backup-simplify]: Simplify -1/4 into -1/4 4.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.427 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 4.427 * [backup-simplify]: Simplify (+ 0 0) into 0 4.428 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 4.430 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 4.430 * [backup-simplify]: Simplify 0 into 0 4.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.431 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.432 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.433 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 4.434 * [backup-simplify]: Simplify (+ 0 0) into 0 4.435 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 4.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 4.436 * [backup-simplify]: Simplify 3/16 into 3/16 4.437 * [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)))) 4.437 * * * [progress]: simplifying candidates 4.437 * * * * [progress]: [ 1 / 125 ] simplifiying candidate # 4.437 * * * * [progress]: [ 2 / 125 ] simplifiying candidate # 4.437 * * * * [progress]: [ 3 / 125 ] simplifiying candidate # 4.437 * * * * [progress]: [ 4 / 125 ] simplifiying candidate # 4.437 * * * * [progress]: [ 5 / 125 ] simplifiying candidate # 4.437 * * * * [progress]: [ 6 / 125 ] simplifiying candidate # 4.437 * * * * [progress]: [ 7 / 125 ] simplifiying candidate # 4.437 * * * * [progress]: [ 8 / 125 ] simplifiying candidate # 4.438 * * * * [progress]: [ 9 / 125 ] simplifiying candidate # 4.438 * * * * [progress]: [ 10 / 125 ] simplifiying candidate # 4.438 * * * * [progress]: [ 11 / 125 ] simplifiying candidate # 4.438 * * * * [progress]: [ 12 / 125 ] simplifiying candidate # 4.438 * * * * [progress]: [ 13 / 125 ] simplifiying candidate # 4.438 * * * * [progress]: [ 14 / 125 ] simplifiying candidate # 4.438 * * * * [progress]: [ 15 / 125 ] simplifiying candidate # 4.438 * * * * [progress]: [ 16 / 125 ] simplifiying candidate # 4.438 * * * * [progress]: [ 17 / 125 ] simplifiying candidate # 4.438 * * * * [progress]: [ 18 / 125 ] simplifiying candidate # 4.438 * * * * [progress]: [ 19 / 125 ] simplifiying candidate # 4.438 * * * * [progress]: [ 20 / 125 ] simplifiying candidate # 4.438 * * * * [progress]: [ 21 / 125 ] simplifiying candidate # 4.438 * * * * [progress]: [ 22 / 125 ] simplifiying candidate # 4.439 * * * * [progress]: [ 23 / 125 ] simplifiying candidate #real (real->posit16 (- 1 (* (sqrt (+ 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))))) 1)))> 4.439 * * * * [progress]: [ 24 / 125 ] simplifiying candidate # 4.439 * * * * [progress]: [ 25 / 125 ] simplifiying candidate # 4.439 * * * * [progress]: [ 26 / 125 ] simplifiying candidate # 4.439 * * * * [progress]: [ 27 / 125 ] simplifiying candidate # 4.439 * * * * [progress]: [ 28 / 125 ] simplifiying candidate # 4.439 * * * * [progress]: [ 29 / 125 ] simplifiying candidate # 4.439 * * * * [progress]: [ 30 / 125 ] simplifiying candidate # 4.439 * * * * [progress]: [ 31 / 125 ] simplifiying candidate # 4.439 * * * * [progress]: [ 32 / 125 ] simplifiying candidate # 4.439 * * * * [progress]: [ 33 / 125 ] simplifiying candidate # 4.439 * * * * [progress]: [ 34 / 125 ] simplifiying candidate # 4.439 * * * * [progress]: [ 35 / 125 ] simplifiying candidate # 4.439 * * * * [progress]: [ 36 / 125 ] simplifiying candidate # 4.439 * * * * [progress]: [ 37 / 125 ] simplifiying candidate # 4.440 * * * * [progress]: [ 38 / 125 ] simplifiying candidate # 4.440 * * * * [progress]: [ 39 / 125 ] simplifiying candidate # 4.440 * * * * [progress]: [ 40 / 125 ] simplifiying candidate # 4.440 * * * * [progress]: [ 41 / 125 ] simplifiying candidate # 4.440 * * * * [progress]: [ 42 / 125 ] simplifiying candidate # 4.440 * * * * [progress]: [ 43 / 125 ] simplifiying candidate # 4.440 * * * * [progress]: [ 44 / 125 ] simplifiying candidate # 4.440 * * * * [progress]: [ 45 / 125 ] simplifiying candidate # 4.440 * * * * [progress]: [ 46 / 125 ] simplifiying candidate # 4.440 * * * * [progress]: [ 47 / 125 ] simplifiying candidate # 4.440 * * * * [progress]: [ 48 / 125 ] simplifiying candidate # 4.440 * * * * [progress]: [ 49 / 125 ] simplifiying candidate # 4.440 * * * * [progress]: [ 50 / 125 ] simplifiying candidate # 4.440 * * * * [progress]: [ 51 / 125 ] simplifiying candidate # 4.441 * * * * [progress]: [ 52 / 125 ] simplifiying candidate # 4.441 * * * * [progress]: [ 53 / 125 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x))))))) 1)))> 4.441 * * * * [progress]: [ 54 / 125 ] simplifiying candidate # 4.441 * * * * [progress]: [ 55 / 125 ] simplifiying candidate # 4.441 * * * * [progress]: [ 56 / 125 ] simplifiying candidate # 4.441 * * * * [progress]: [ 57 / 125 ] simplifiying candidate # 4.441 * * * * [progress]: [ 58 / 125 ] simplifiying candidate # 4.441 * * * * [progress]: [ 59 / 125 ] simplifiying candidate # 4.441 * * * * [progress]: [ 60 / 125 ] simplifiying candidate # 4.441 * * * * [progress]: [ 61 / 125 ] simplifiying candidate # 4.441 * * * * [progress]: [ 62 / 125 ] simplifiying candidate # 4.441 * * * * [progress]: [ 63 / 125 ] simplifiying candidate # 4.441 * * * * [progress]: [ 64 / 125 ] simplifiying candidate # 4.441 * * * * [progress]: [ 65 / 125 ] simplifiying candidate # 4.441 * * * * [progress]: [ 66 / 125 ] simplifiying candidate # 4.441 * * * * [progress]: [ 67 / 125 ] simplifiying candidate # 4.441 * * * * [progress]: [ 68 / 125 ] simplifiying candidate # 4.441 * * * * [progress]: [ 69 / 125 ] simplifiying candidate # 4.442 * * * * [progress]: [ 70 / 125 ] simplifiying candidate # 4.442 * * * * [progress]: [ 71 / 125 ] simplifiying candidate # 4.442 * * * * [progress]: [ 72 / 125 ] simplifiying candidate # 4.442 * * * * [progress]: [ 73 / 125 ] simplifiying candidate # 4.442 * * * * [progress]: [ 74 / 125 ] simplifiying candidate # 4.442 * * * * [progress]: [ 75 / 125 ] simplifiying candidate # 4.442 * * * * [progress]: [ 76 / 125 ] simplifiying candidate # 4.442 * * * * [progress]: [ 77 / 125 ] simplifiying candidate # 4.442 * * * * [progress]: [ 78 / 125 ] simplifiying candidate # 4.442 * * * * [progress]: [ 79 / 125 ] simplifiying candidate # 4.442 * * * * [progress]: [ 80 / 125 ] simplifiying candidate # 4.442 * * * * [progress]: [ 81 / 125 ] simplifiying candidate # 4.442 * * * * [progress]: [ 82 / 125 ] simplifiying candidate # 4.442 * * * * [progress]: [ 83 / 125 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x))))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1)))> 4.443 * * * * [progress]: [ 84 / 125 ] simplifiying candidate # 4.443 * * * * [progress]: [ 85 / 125 ] simplifiying candidate # 4.443 * * * * [progress]: [ 86 / 125 ] simplifiying candidate # 4.443 * * * * [progress]: [ 87 / 125 ] simplifiying candidate # 4.443 * * * * [progress]: [ 88 / 125 ] simplifiying candidate # 4.443 * * * * [progress]: [ 89 / 125 ] simplifiying candidate # 4.443 * * * * [progress]: [ 90 / 125 ] simplifiying candidate # 4.443 * * * * [progress]: [ 91 / 125 ] simplifiying candidate # 4.443 * * * * [progress]: [ 92 / 125 ] simplifiying candidate # 4.443 * * * * [progress]: [ 93 / 125 ] simplifiying candidate # 4.443 * * * * [progress]: [ 94 / 125 ] simplifiying candidate # 4.443 * * * * [progress]: [ 95 / 125 ] simplifiying candidate # 4.443 * * * * [progress]: [ 96 / 125 ] simplifiying candidate # 4.443 * * * * [progress]: [ 97 / 125 ] simplifiying candidate # 4.443 * * * * [progress]: [ 98 / 125 ] simplifiying candidate # 4.444 * * * * [progress]: [ 99 / 125 ] simplifiying candidate # 4.444 * * * * [progress]: [ 100 / 125 ] simplifiying candidate # 4.444 * * * * [progress]: [ 101 / 125 ] simplifiying candidate # 4.444 * * * * [progress]: [ 102 / 125 ] simplifiying candidate # 4.444 * * * * [progress]: [ 103 / 125 ] simplifiying candidate # 4.444 * * * * [progress]: [ 104 / 125 ] simplifiying candidate # 4.444 * * * * [progress]: [ 105 / 125 ] simplifiying candidate # 4.444 * * * * [progress]: [ 106 / 125 ] simplifiying candidate # 4.444 * * * * [progress]: [ 107 / 125 ] simplifiying candidate # 4.444 * * * * [progress]: [ 108 / 125 ] simplifiying candidate # 4.444 * * * * [progress]: [ 109 / 125 ] simplifiying candidate # 4.444 * * * * [progress]: [ 110 / 125 ] simplifiying candidate # 4.444 * * * * [progress]: [ 111 / 125 ] simplifiying candidate # 4.444 * * * * [progress]: [ 112 / 125 ] simplifiying candidate # 4.444 * * * * [progress]: [ 113 / 125 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x))))))) (+ (+ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1)))> 4.445 * * * * [progress]: [ 114 / 125 ] simplifiying candidate # 4.445 * * * * [progress]: [ 115 / 125 ] simplifiying candidate # 4.445 * * * * [progress]: [ 116 / 125 ] simplifiying candidate # 4.445 * * * * [progress]: [ 117 / 125 ] simplifiying candidate # 4.445 * * * * [progress]: [ 118 / 125 ] simplifiying candidate # 4.445 * * * * [progress]: [ 119 / 125 ] simplifiying candidate # 4.445 * * * * [progress]: [ 120 / 125 ] simplifiying candidate # 4.445 * * * * [progress]: [ 121 / 125 ] simplifiying candidate # 4.445 * * * * [progress]: [ 122 / 125 ] simplifiying candidate # 4.445 * * * * [progress]: [ 123 / 125 ] simplifiying candidate # 4.445 * * * * [progress]: [ 124 / 125 ] simplifiying candidate # 4.445 * * * * [progress]: [ 125 / 125 ] simplifiying candidate # 4.447 * [simplify]: Simplifying: (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (fma (sqrt 1) (sqrt 1) (- (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (fma 1 1 (- (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (expm1 (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (log1p (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 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)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (/ (exp 1) (exp (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (log (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (exp (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 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)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- (pow 1 3) (pow (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) 3)) (+ (* 1 1) (+ (* (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (* 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))))) (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (* 1 1) (* (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 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)))) 1/2)) (- 1 (* 1/2 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (real->posit16 (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (expm1 (/ 1/2 (hypot 1 x))) (log1p (/ 1/2 (hypot 1 x))) (- (log 1/2) (log (hypot 1 x))) (log (/ 1/2 (hypot 1 x))) (exp (/ 1/2 (hypot 1 x))) (/ (* (* 1/2 1/2) 1/2) (* (* (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))) (* (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))) (- 1/2) (- (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)) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (hypot 1 x)) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) (/ 1 1) (/ 1/2 (hypot 1 x)) (/ 1 (hypot 1 x)) (/ (hypot 1 x) 1/2) (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (sqrt (hypot 1 x))) (/ 1/2 1) (/ (hypot 1 x) (cbrt 1/2)) (/ (hypot 1 x) (sqrt 1/2)) (/ (hypot 1 x) 1/2) (real->posit16 (/ 1/2 (hypot 1 x))) (expm1 (/ 1/2 (hypot 1 x))) (log1p (/ 1/2 (hypot 1 x))) (- (log 1/2) (log (hypot 1 x))) (log (/ 1/2 (hypot 1 x))) (exp (/ 1/2 (hypot 1 x))) (/ (* (* 1/2 1/2) 1/2) (* (* (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))) (* (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))) (- 1/2) (- (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)) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (hypot 1 x)) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) (/ 1 1) (/ 1/2 (hypot 1 x)) (/ 1 (hypot 1 x)) (/ (hypot 1 x) 1/2) (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (sqrt (hypot 1 x))) (/ 1/2 1) (/ (hypot 1 x) (cbrt 1/2)) (/ (hypot 1 x) (sqrt 1/2)) (/ (hypot 1 x) 1/2) (real->posit16 (/ 1/2 (hypot 1 x))) (expm1 (/ 1/2 (hypot 1 x))) (log1p (/ 1/2 (hypot 1 x))) (- (log 1/2) (log (hypot 1 x))) (log (/ 1/2 (hypot 1 x))) (exp (/ 1/2 (hypot 1 x))) (/ (* (* 1/2 1/2) 1/2) (* (* (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))) (* (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))) (- 1/2) (- (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)) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (hypot 1 x)) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) (/ 1 1) (/ 1/2 (hypot 1 x)) (/ 1 (hypot 1 x)) (/ (hypot 1 x) 1/2) (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (sqrt (hypot 1 x))) (/ 1/2 1) (/ (hypot 1 x) (cbrt 1/2)) (/ (hypot 1 x) (sqrt 1/2)) (/ (hypot 1 x) 1/2) (real->posit16 (/ 1/2 (hypot 1 x))) (- (+ (* 3/8 (pow x 2)) (* 275/1024 (pow x 6))) (* 39/128 (pow x 4))) (- (+ (* 9/512 (/ 1 (* (pow x 2) (pow (sqrt 1/8) 3)))) 1) (+ (* 3/16 (/ 1 (* (pow x 2) (sqrt 1/8)))) (+ (* 3/16 (/ 1 (* x (sqrt 1/8)))) (sqrt 1/8)))) (- (+ (* 9/512 (/ 1 (* (pow x 2) (pow (sqrt 1/8) 3)))) (+ (* 3/16 (/ 1 (* x (sqrt 1/8)))) 1)) (+ (* 3/16 (/ 1 (* (pow x 2) (sqrt 1/8)))) (sqrt 1/8))) (- (+ (* 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)))) (- (+ (* 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)))) (- (+ (* 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)))) 4.450 * * [simplify]: iteration 1: (149 enodes) 4.509 * * [simplify]: iteration 2: (349 enodes) 4.639 * * [simplify]: iteration 3: (933 enodes) 5.320 * * [simplify]: Extracting #0: cost 57 inf + 0 5.321 * * [simplify]: Extracting #1: cost 284 inf + 44 5.323 * * [simplify]: Extracting #2: cost 565 inf + 1908 5.329 * * [simplify]: Extracting #3: cost 447 inf + 27900 5.349 * * [simplify]: Extracting #4: cost 158 inf + 101274 5.387 * * [simplify]: Extracting #5: cost 9 inf + 149824 5.425 * * [simplify]: Extracting #6: cost 1 inf + 152456 5.466 * * [simplify]: Extracting #7: cost 0 inf + 152668 5.512 * [simplify]: Simplified to: (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 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)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 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)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 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)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (expm1 (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (log1p (- 1 (* (sqrt (+ 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)))))) (* (+ 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)))))) (exp (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (log (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (exp (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 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)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))))) (sqrt (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (* (* (+ 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))))))) (fma (+ 1/2 (/ 1/2 (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x))))) 1) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (* (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))) 1) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1/2 1) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1/2 1) (* (+ 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)))) (+ 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))) (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 275/1024 (* (* (* x x) x) (* (* x x) x)) (* (* x x) (- 3/8 (* 39/128 (* x x))))) (+ (- (/ -3/16 (* (* x x) (sqrt 1/8))) (+ (/ 3/16 (* x (sqrt 1/8))) (sqrt 1/8))) (+ (/ 9/64 (* (* x x) (sqrt 1/8))) 1)) (+ (+ (/ 9/64 (* (* x x) (sqrt 1/8))) (+ (/ 3/16 (* x (sqrt 1/8))) 1)) (- (/ -3/16 (* (* x x) (sqrt 1/8))) (sqrt 1/8))) (fma (* x x) -1/4 (fma 3/16 (* (* x x) (* x x)) 1/2)) (+ (/ 3/16 (pow x 5)) (- (/ 1/2 x) (/ 1/4 (* (* x x) x)))) (- (- (/ 1/4 (* (* x x) x)) (/ 1/2 x)) (/ 3/16 (pow x 5))) (fma (* x x) -1/4 (fma 3/16 (* (* x x) (* x x)) 1/2)) (+ (/ 3/16 (pow x 5)) (- (/ 1/2 x) (/ 1/4 (* (* x x) x)))) (- (- (/ 1/4 (* (* x x) x)) (/ 1/2 x)) (/ 3/16 (pow x 5))) (fma (* x x) -1/4 (fma 3/16 (* (* x x) (* x x)) 1/2)) (+ (/ 3/16 (pow x 5)) (- (/ 1/2 x) (/ 1/4 (* (* x x) x)))) (- (- (/ 1/4 (* (* x x) x)) (/ 1/2 x)) (/ 3/16 (pow x 5))) 5.535 * * * [progress]: adding candidates to table 6.633 * * [progress]: iteration 3 / 4 6.633 * * * [progress]: picking best candidate 6.648 * * * * [pick]: Picked # 6.648 * * * [progress]: localizing error 6.709 * * * [progress]: generating rewritten candidates 6.709 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 6.826 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 6.924 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 2) 6.928 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2) 6.938 * * * [progress]: generating series expansions 6.938 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 6.939 * [backup-simplify]: Simplify (- (* 1 1) (* (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) into (- 7/8 (+ (* 1/8 (/ 1 (pow (hypot 1 x) 3))) (+ (* 3/8 (/ 1 (pow (hypot 1 x) 2))) (* 3/8 (/ 1 (hypot 1 x)))))) 6.939 * [approximate]: Taking taylor expansion of (- 7/8 (+ (* 1/8 (/ 1 (pow (hypot 1 x) 3))) (+ (* 3/8 (/ 1 (pow (hypot 1 x) 2))) (* 3/8 (/ 1 (hypot 1 x)))))) in (x) around 0 6.939 * [taylor]: Taking taylor expansion of (- 7/8 (+ (* 1/8 (/ 1 (pow (hypot 1 x) 3))) (+ (* 3/8 (/ 1 (pow (hypot 1 x) 2))) (* 3/8 (/ 1 (hypot 1 x)))))) in x 6.939 * [taylor]: Taking taylor expansion of 7/8 in x 6.939 * [backup-simplify]: Simplify 7/8 into 7/8 6.939 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (pow (hypot 1 x) 3))) (+ (* 3/8 (/ 1 (pow (hypot 1 x) 2))) (* 3/8 (/ 1 (hypot 1 x))))) in x 6.939 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 x) 3))) in x 6.939 * [taylor]: Taking taylor expansion of 1/8 in x 6.939 * [backup-simplify]: Simplify 1/8 into 1/8 6.939 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 x) 3)) in x 6.939 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 3) in x 6.939 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 6.939 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 6.939 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 6.939 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.939 * [taylor]: Taking taylor expansion of 1 in x 6.939 * [backup-simplify]: Simplify 1 into 1 6.939 * [taylor]: Taking taylor expansion of 1 in x 6.939 * [backup-simplify]: Simplify 1 into 1 6.939 * [taylor]: Taking taylor expansion of (* x x) in x 6.939 * [taylor]: Taking taylor expansion of x in x 6.939 * [backup-simplify]: Simplify 0 into 0 6.939 * [backup-simplify]: Simplify 1 into 1 6.939 * [taylor]: Taking taylor expansion of x in x 6.939 * [backup-simplify]: Simplify 0 into 0 6.939 * [backup-simplify]: Simplify 1 into 1 6.939 * [backup-simplify]: Simplify (* 1 1) into 1 6.940 * [backup-simplify]: Simplify (* 0 0) into 0 6.940 * [backup-simplify]: Simplify (+ 1 0) into 1 6.940 * [backup-simplify]: Simplify (sqrt 1) into 1 6.941 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.941 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.941 * [backup-simplify]: Simplify (+ 0 0) into 0 6.942 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.946 * [backup-simplify]: Simplify (* 1 1) into 1 6.946 * [backup-simplify]: Simplify (* 1 1) into 1 6.946 * [backup-simplify]: Simplify (/ 1 1) into 1 6.946 * [taylor]: Taking taylor expansion of (+ (* 3/8 (/ 1 (pow (hypot 1 x) 2))) (* 3/8 (/ 1 (hypot 1 x)))) in x 6.946 * [taylor]: Taking taylor expansion of (* 3/8 (/ 1 (pow (hypot 1 x) 2))) in x 6.946 * [taylor]: Taking taylor expansion of 3/8 in x 6.946 * [backup-simplify]: Simplify 3/8 into 3/8 6.946 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 x) 2)) in x 6.946 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 2) in x 6.946 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 6.947 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 6.947 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 6.947 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.947 * [taylor]: Taking taylor expansion of 1 in x 6.947 * [backup-simplify]: Simplify 1 into 1 6.947 * [taylor]: Taking taylor expansion of 1 in x 6.947 * [backup-simplify]: Simplify 1 into 1 6.947 * [taylor]: Taking taylor expansion of (* x x) in x 6.947 * [taylor]: Taking taylor expansion of x in x 6.947 * [backup-simplify]: Simplify 0 into 0 6.947 * [backup-simplify]: Simplify 1 into 1 6.947 * [taylor]: Taking taylor expansion of x in x 6.947 * [backup-simplify]: Simplify 0 into 0 6.947 * [backup-simplify]: Simplify 1 into 1 6.947 * [backup-simplify]: Simplify (* 1 1) into 1 6.947 * [backup-simplify]: Simplify (* 0 0) into 0 6.948 * [backup-simplify]: Simplify (+ 1 0) into 1 6.948 * [backup-simplify]: Simplify (sqrt 1) into 1 6.948 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.949 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.949 * [backup-simplify]: Simplify (+ 0 0) into 0 6.949 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.949 * [backup-simplify]: Simplify (* 1 1) into 1 6.950 * [backup-simplify]: Simplify (/ 1 1) into 1 6.950 * [taylor]: Taking taylor expansion of (* 3/8 (/ 1 (hypot 1 x))) in x 6.950 * [taylor]: Taking taylor expansion of 3/8 in x 6.950 * [backup-simplify]: Simplify 3/8 into 3/8 6.950 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 6.950 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 6.950 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 6.950 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 6.950 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.950 * [taylor]: Taking taylor expansion of 1 in x 6.950 * [backup-simplify]: Simplify 1 into 1 6.950 * [taylor]: Taking taylor expansion of 1 in x 6.950 * [backup-simplify]: Simplify 1 into 1 6.950 * [taylor]: Taking taylor expansion of (* x x) in x 6.950 * [taylor]: Taking taylor expansion of x in x 6.950 * [backup-simplify]: Simplify 0 into 0 6.950 * [backup-simplify]: Simplify 1 into 1 6.950 * [taylor]: Taking taylor expansion of x in x 6.950 * [backup-simplify]: Simplify 0 into 0 6.950 * [backup-simplify]: Simplify 1 into 1 6.950 * [backup-simplify]: Simplify (* 1 1) into 1 6.951 * [backup-simplify]: Simplify (* 0 0) into 0 6.951 * [backup-simplify]: Simplify (+ 1 0) into 1 6.951 * [backup-simplify]: Simplify (sqrt 1) into 1 6.951 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.952 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.952 * [backup-simplify]: Simplify (+ 0 0) into 0 6.952 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.953 * [backup-simplify]: Simplify (/ 1 1) into 1 6.953 * [taylor]: Taking taylor expansion of (- 7/8 (+ (* 1/8 (/ 1 (pow (hypot 1 x) 3))) (+ (* 3/8 (/ 1 (pow (hypot 1 x) 2))) (* 3/8 (/ 1 (hypot 1 x)))))) in x 6.953 * [taylor]: Taking taylor expansion of 7/8 in x 6.953 * [backup-simplify]: Simplify 7/8 into 7/8 6.953 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (pow (hypot 1 x) 3))) (+ (* 3/8 (/ 1 (pow (hypot 1 x) 2))) (* 3/8 (/ 1 (hypot 1 x))))) in x 6.953 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 x) 3))) in x 6.953 * [taylor]: Taking taylor expansion of 1/8 in x 6.953 * [backup-simplify]: Simplify 1/8 into 1/8 6.953 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 x) 3)) in x 6.953 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 3) in x 6.953 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 6.953 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 6.953 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 6.953 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.953 * [taylor]: Taking taylor expansion of 1 in x 6.953 * [backup-simplify]: Simplify 1 into 1 6.953 * [taylor]: Taking taylor expansion of 1 in x 6.953 * [backup-simplify]: Simplify 1 into 1 6.953 * [taylor]: Taking taylor expansion of (* x x) in x 6.953 * [taylor]: Taking taylor expansion of x in x 6.953 * [backup-simplify]: Simplify 0 into 0 6.953 * [backup-simplify]: Simplify 1 into 1 6.953 * [taylor]: Taking taylor expansion of x in x 6.953 * [backup-simplify]: Simplify 0 into 0 6.953 * [backup-simplify]: Simplify 1 into 1 6.953 * [backup-simplify]: Simplify (* 1 1) into 1 6.954 * [backup-simplify]: Simplify (* 0 0) into 0 6.954 * [backup-simplify]: Simplify (+ 1 0) into 1 6.954 * [backup-simplify]: Simplify (sqrt 1) into 1 6.955 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.955 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.955 * [backup-simplify]: Simplify (+ 0 0) into 0 6.956 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.956 * [backup-simplify]: Simplify (* 1 1) into 1 6.956 * [backup-simplify]: Simplify (* 1 1) into 1 6.956 * [backup-simplify]: Simplify (/ 1 1) into 1 6.956 * [taylor]: Taking taylor expansion of (+ (* 3/8 (/ 1 (pow (hypot 1 x) 2))) (* 3/8 (/ 1 (hypot 1 x)))) in x 6.956 * [taylor]: Taking taylor expansion of (* 3/8 (/ 1 (pow (hypot 1 x) 2))) in x 6.956 * [taylor]: Taking taylor expansion of 3/8 in x 6.956 * [backup-simplify]: Simplify 3/8 into 3/8 6.956 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 x) 2)) in x 6.956 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 2) in x 6.956 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 6.956 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 6.957 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 6.957 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.957 * [taylor]: Taking taylor expansion of 1 in x 6.957 * [backup-simplify]: Simplify 1 into 1 6.957 * [taylor]: Taking taylor expansion of 1 in x 6.957 * [backup-simplify]: Simplify 1 into 1 6.957 * [taylor]: Taking taylor expansion of (* x x) in x 6.957 * [taylor]: Taking taylor expansion of x in x 6.957 * [backup-simplify]: Simplify 0 into 0 6.957 * [backup-simplify]: Simplify 1 into 1 6.957 * [taylor]: Taking taylor expansion of x in x 6.957 * [backup-simplify]: Simplify 0 into 0 6.957 * [backup-simplify]: Simplify 1 into 1 6.957 * [backup-simplify]: Simplify (* 1 1) into 1 6.957 * [backup-simplify]: Simplify (* 0 0) into 0 6.957 * [backup-simplify]: Simplify (+ 1 0) into 1 6.958 * [backup-simplify]: Simplify (sqrt 1) into 1 6.958 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.958 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.959 * [backup-simplify]: Simplify (+ 0 0) into 0 6.959 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.959 * [backup-simplify]: Simplify (* 1 1) into 1 6.960 * [backup-simplify]: Simplify (/ 1 1) into 1 6.960 * [taylor]: Taking taylor expansion of (* 3/8 (/ 1 (hypot 1 x))) in x 6.960 * [taylor]: Taking taylor expansion of 3/8 in x 6.960 * [backup-simplify]: Simplify 3/8 into 3/8 6.960 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 6.960 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 6.960 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 6.960 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 6.960 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.960 * [taylor]: Taking taylor expansion of 1 in x 6.960 * [backup-simplify]: Simplify 1 into 1 6.960 * [taylor]: Taking taylor expansion of 1 in x 6.960 * [backup-simplify]: Simplify 1 into 1 6.960 * [taylor]: Taking taylor expansion of (* x x) in x 6.960 * [taylor]: Taking taylor expansion of x in x 6.960 * [backup-simplify]: Simplify 0 into 0 6.960 * [backup-simplify]: Simplify 1 into 1 6.960 * [taylor]: Taking taylor expansion of x in x 6.960 * [backup-simplify]: Simplify 0 into 0 6.960 * [backup-simplify]: Simplify 1 into 1 6.960 * [backup-simplify]: Simplify (* 1 1) into 1 6.960 * [backup-simplify]: Simplify (* 0 0) into 0 6.961 * [backup-simplify]: Simplify (+ 1 0) into 1 6.961 * [backup-simplify]: Simplify (sqrt 1) into 1 6.961 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.962 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.962 * [backup-simplify]: Simplify (+ 0 0) into 0 6.962 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.963 * [backup-simplify]: Simplify (/ 1 1) into 1 6.963 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 6.963 * [backup-simplify]: Simplify (* 3/8 1) into 3/8 6.963 * [backup-simplify]: Simplify (* 3/8 1) into 3/8 6.964 * [backup-simplify]: Simplify (+ 3/8 3/8) into 3/4 6.964 * [backup-simplify]: Simplify (+ 1/8 3/4) into 7/8 6.964 * [backup-simplify]: Simplify (- 7/8) into -7/8 6.964 * [backup-simplify]: Simplify (+ 7/8 -7/8) into 0 6.964 * [backup-simplify]: Simplify 0 into 0 6.965 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.965 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.966 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0 6.966 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.967 * [backup-simplify]: Simplify (+ (* 3/8 0) (* 0 1)) into 0 6.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.968 * [backup-simplify]: Simplify (+ (* 3/8 0) (* 0 1)) into 0 6.968 * [backup-simplify]: Simplify (+ 0 0) into 0 6.969 * [backup-simplify]: Simplify (+ 0 0) into 0 6.969 * [backup-simplify]: Simplify (- 0) into 0 6.969 * [backup-simplify]: Simplify (+ 0 0) into 0 6.969 * [backup-simplify]: Simplify 0 into 0 6.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.970 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 6.970 * [backup-simplify]: Simplify (+ 0 1) into 1 6.971 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 6.972 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 6.972 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 6.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 3/2 1)) (* 0 (/ 0 1)))) into -3/2 6.973 * [backup-simplify]: Simplify (+ (* 1/8 -3/2) (+ (* 0 0) (* 0 1))) into -3/16 6.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.974 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 6.975 * [backup-simplify]: Simplify (+ 0 1) into 1 6.975 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 6.976 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 6.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1 1)) (* 0 (/ 0 1)))) into -1 6.977 * [backup-simplify]: Simplify (+ (* 3/8 -1) (+ (* 0 0) (* 0 1))) into -3/8 6.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.979 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 6.979 * [backup-simplify]: Simplify (+ 0 1) into 1 6.980 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 6.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 6.982 * [backup-simplify]: Simplify (+ (* 3/8 -1/2) (+ (* 0 0) (* 0 1))) into -3/16 6.983 * [backup-simplify]: Simplify (+ -3/8 -3/16) into -9/16 6.983 * [backup-simplify]: Simplify (+ -3/16 -9/16) into -3/4 6.984 * [backup-simplify]: Simplify (- -3/4) into 3/4 6.984 * [backup-simplify]: Simplify (+ 0 3/4) into 3/4 6.984 * [backup-simplify]: Simplify 3/4 into 3/4 6.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.986 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 6.986 * [backup-simplify]: Simplify (+ 0 0) into 0 6.987 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 6.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 6.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (+ (* 1/2 0) (* 0 1)))) into 0 6.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 3/2 1)) (* -3/2 (/ 0 1)))) into 0 6.993 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1)))) into 0 6.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.995 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 6.995 * [backup-simplify]: Simplify (+ 0 0) into 0 6.996 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 6.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 6.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1 1)) (* -1 (/ 0 1)))) into 0 7.000 * [backup-simplify]: Simplify (+ (* 3/8 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1)))) into 0 7.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.002 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 7.002 * [backup-simplify]: Simplify (+ 0 0) into 0 7.003 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 7.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 7.005 * [backup-simplify]: Simplify (+ (* 3/8 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 7.006 * [backup-simplify]: Simplify (+ 0 0) into 0 7.006 * [backup-simplify]: Simplify (+ 0 0) into 0 7.006 * [backup-simplify]: Simplify (- 0) into 0 7.006 * [backup-simplify]: Simplify (+ 0 0) into 0 7.006 * [backup-simplify]: Simplify 0 into 0 7.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.008 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.008 * [backup-simplify]: Simplify (+ 0 0) into 0 7.010 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 7.011 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 7.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 1) (+ (* 0 0) (* -1/8 1))))) into 3/8 7.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 3/8 1)) (* 0 (/ 0 1)) (* -3/2 (/ 3/2 1)) (* 0 (/ 0 1)))) into 15/8 7.016 * [backup-simplify]: Simplify (+ (* 1/8 15/8) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1))))) into 15/64 7.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.019 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.019 * [backup-simplify]: Simplify (+ 0 0) into 0 7.020 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 7.022 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 7.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1 (/ 1 1)) (* 0 (/ 0 1)))) into 1 7.025 * [backup-simplify]: Simplify (+ (* 3/8 1) (+ (* 0 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1))))) into 3/8 7.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.027 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.028 * [backup-simplify]: Simplify (+ 0 0) into 0 7.029 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 7.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 7.032 * [backup-simplify]: Simplify (+ (* 3/8 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 9/64 7.033 * [backup-simplify]: Simplify (+ 3/8 9/64) into 33/64 7.033 * [backup-simplify]: Simplify (+ 15/64 33/64) into 3/4 7.033 * [backup-simplify]: Simplify (- 3/4) into -3/4 7.034 * [backup-simplify]: Simplify (+ 0 -3/4) into -3/4 7.034 * [backup-simplify]: Simplify -3/4 into -3/4 7.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.037 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 7.037 * [backup-simplify]: Simplify (+ 0 0) into 0 7.039 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 7.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* 1/2 0) (+ (* 0 1/2) (+ (* -1/8 0) (* 0 1)))))) into 0 7.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 0) (+ (* 0 1) (+ (* -1/8 0) (* 0 1)))))) into 0 7.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 3/8 1)) (* -3/2 (/ 0 1)) (* 0 (/ 3/2 1)) (* 15/8 (/ 0 1)))) into 0 7.046 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 15/8) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1)))))) into 0 7.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.049 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 7.049 * [backup-simplify]: Simplify (+ 0 0) into 0 7.051 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 7.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* 1/2 0) (+ (* 0 1/2) (+ (* -1/8 0) (* 0 1)))))) into 0 7.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1 (/ 0 1)) (* 0 (/ 1 1)) (* 1 (/ 0 1)))) into 0 7.056 * [backup-simplify]: Simplify (+ (* 3/8 0) (+ (* 0 1) (+ (* 0 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1)))))) into 0 7.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.059 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 7.059 * [backup-simplify]: Simplify (+ 0 0) into 0 7.067 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 7.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 7.070 * [backup-simplify]: Simplify (+ (* 3/8 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 7.070 * [backup-simplify]: Simplify (+ 0 0) into 0 7.071 * [backup-simplify]: Simplify (+ 0 0) into 0 7.071 * [backup-simplify]: Simplify (- 0) into 0 7.071 * [backup-simplify]: Simplify (+ 0 0) into 0 7.071 * [backup-simplify]: Simplify 0 into 0 7.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.073 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 7.073 * [backup-simplify]: Simplify (+ 0 0) into 0 7.074 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 7.075 * [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 7.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* -1/8 1) (+ (* 0 0) (* 1/16 1))))))) into -1/16 7.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/16 1)) (* 0 (/ 0 1)) (* -3/2 (/ 3/8 1)) (* 0 (/ 0 1)) (* 15/8 (/ 3/2 1)) (* 0 (/ 0 1)))) into -35/16 7.079 * [backup-simplify]: Simplify (+ (* 1/8 -35/16) (+ (* 0 0) (+ (* 0 15/8) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1))))))) into -35/128 7.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.081 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 7.081 * [backup-simplify]: Simplify (+ 0 0) into 0 7.082 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 7.084 * [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 7.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 1 (/ 1 1)) (* 0 (/ 0 1)))) into -1 7.086 * [backup-simplify]: Simplify (+ (* 3/8 -1) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1))))))) into -3/8 7.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.087 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 7.088 * [backup-simplify]: Simplify (+ 0 0) into 0 7.089 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 7.090 * [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 7.091 * [backup-simplify]: Simplify (+ (* 3/8 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -15/128 7.091 * [backup-simplify]: Simplify (+ -3/8 -15/128) into -63/128 7.092 * [backup-simplify]: Simplify (+ -35/128 -63/128) into -49/64 7.092 * [backup-simplify]: Simplify (- -49/64) into 49/64 7.092 * [backup-simplify]: Simplify (+ 0 49/64) into 49/64 7.092 * [backup-simplify]: Simplify 49/64 into 49/64 7.093 * [backup-simplify]: Simplify (+ (* 49/64 (pow x 6)) (+ (* -3/4 (pow x 4)) (* 3/4 (pow x 2)))) into (- (+ (* 3/4 (pow x 2)) (* 49/64 (pow x 6))) (* 3/4 (pow x 4))) 7.093 * [backup-simplify]: Simplify (- (* 1 1) (* (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))))) into (- 7/8 (+ (* 3/8 (/ 1 (hypot 1 (/ 1 x)))) (+ (* 3/8 (/ 1 (pow (hypot 1 (/ 1 x)) 2))) (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))))) 7.093 * [approximate]: Taking taylor expansion of (- 7/8 (+ (* 3/8 (/ 1 (hypot 1 (/ 1 x)))) (+ (* 3/8 (/ 1 (pow (hypot 1 (/ 1 x)) 2))) (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))))) in (x) around 0 7.093 * [taylor]: Taking taylor expansion of (- 7/8 (+ (* 3/8 (/ 1 (hypot 1 (/ 1 x)))) (+ (* 3/8 (/ 1 (pow (hypot 1 (/ 1 x)) 2))) (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))))) in x 7.093 * [taylor]: Taking taylor expansion of 7/8 in x 7.093 * [backup-simplify]: Simplify 7/8 into 7/8 7.093 * [taylor]: Taking taylor expansion of (+ (* 3/8 (/ 1 (hypot 1 (/ 1 x)))) (+ (* 3/8 (/ 1 (pow (hypot 1 (/ 1 x)) 2))) (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3))))) in x 7.093 * [taylor]: Taking taylor expansion of (* 3/8 (/ 1 (hypot 1 (/ 1 x)))) in x 7.093 * [taylor]: Taking taylor expansion of 3/8 in x 7.093 * [backup-simplify]: Simplify 3/8 into 3/8 7.093 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 7.093 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 7.094 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 7.094 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 7.094 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.094 * [taylor]: Taking taylor expansion of 1 in x 7.094 * [backup-simplify]: Simplify 1 into 1 7.094 * [taylor]: Taking taylor expansion of 1 in x 7.094 * [backup-simplify]: Simplify 1 into 1 7.094 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.094 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.094 * [taylor]: Taking taylor expansion of x in x 7.094 * [backup-simplify]: Simplify 0 into 0 7.094 * [backup-simplify]: Simplify 1 into 1 7.094 * [backup-simplify]: Simplify (/ 1 1) into 1 7.094 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.094 * [taylor]: Taking taylor expansion of x in x 7.094 * [backup-simplify]: Simplify 0 into 0 7.094 * [backup-simplify]: Simplify 1 into 1 7.094 * [backup-simplify]: Simplify (/ 1 1) into 1 7.095 * [backup-simplify]: Simplify (* 1 1) into 1 7.095 * [backup-simplify]: Simplify (+ 0 1) into 1 7.095 * [backup-simplify]: Simplify (sqrt 1) into 1 7.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.097 * [backup-simplify]: Simplify (+ 0 0) into 0 7.098 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.098 * [backup-simplify]: Simplify (/ 1 1) into 1 7.098 * [taylor]: Taking taylor expansion of (+ (* 3/8 (/ 1 (pow (hypot 1 (/ 1 x)) 2))) (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))) in x 7.098 * [taylor]: Taking taylor expansion of (* 3/8 (/ 1 (pow (hypot 1 (/ 1 x)) 2))) in x 7.098 * [taylor]: Taking taylor expansion of 3/8 in x 7.098 * [backup-simplify]: Simplify 3/8 into 3/8 7.098 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ 1 x)) 2)) in x 7.098 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 2) in x 7.098 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 7.098 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 7.099 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 7.099 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.099 * [taylor]: Taking taylor expansion of 1 in x 7.099 * [backup-simplify]: Simplify 1 into 1 7.099 * [taylor]: Taking taylor expansion of 1 in x 7.099 * [backup-simplify]: Simplify 1 into 1 7.099 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.099 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.099 * [taylor]: Taking taylor expansion of x in x 7.099 * [backup-simplify]: Simplify 0 into 0 7.099 * [backup-simplify]: Simplify 1 into 1 7.099 * [backup-simplify]: Simplify (/ 1 1) into 1 7.099 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.099 * [taylor]: Taking taylor expansion of x in x 7.099 * [backup-simplify]: Simplify 0 into 0 7.099 * [backup-simplify]: Simplify 1 into 1 7.100 * [backup-simplify]: Simplify (/ 1 1) into 1 7.100 * [backup-simplify]: Simplify (* 1 1) into 1 7.101 * [backup-simplify]: Simplify (+ 0 1) into 1 7.101 * [backup-simplify]: Simplify (sqrt 1) into 1 7.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.103 * [backup-simplify]: Simplify (+ 0 0) into 0 7.104 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.104 * [backup-simplify]: Simplify (* 1 1) into 1 7.104 * [backup-simplify]: Simplify (/ 1 1) into 1 7.104 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3))) in x 7.104 * [taylor]: Taking taylor expansion of 1/8 in x 7.104 * [backup-simplify]: Simplify 1/8 into 1/8 7.104 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ 1 x)) 3)) in x 7.104 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 3) in x 7.104 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 7.104 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 7.104 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 7.104 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.104 * [taylor]: Taking taylor expansion of 1 in x 7.104 * [backup-simplify]: Simplify 1 into 1 7.104 * [taylor]: Taking taylor expansion of 1 in x 7.104 * [backup-simplify]: Simplify 1 into 1 7.104 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.104 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.104 * [taylor]: Taking taylor expansion of x in x 7.104 * [backup-simplify]: Simplify 0 into 0 7.104 * [backup-simplify]: Simplify 1 into 1 7.105 * [backup-simplify]: Simplify (/ 1 1) into 1 7.105 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.105 * [taylor]: Taking taylor expansion of x in x 7.105 * [backup-simplify]: Simplify 0 into 0 7.105 * [backup-simplify]: Simplify 1 into 1 7.105 * [backup-simplify]: Simplify (/ 1 1) into 1 7.105 * [backup-simplify]: Simplify (* 1 1) into 1 7.105 * [backup-simplify]: Simplify (+ 0 1) into 1 7.106 * [backup-simplify]: Simplify (sqrt 1) into 1 7.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.108 * [backup-simplify]: Simplify (+ 0 0) into 0 7.108 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.108 * [backup-simplify]: Simplify (* 1 1) into 1 7.108 * [backup-simplify]: Simplify (* 1 1) into 1 7.109 * [backup-simplify]: Simplify (/ 1 1) into 1 7.109 * [taylor]: Taking taylor expansion of (- 7/8 (+ (* 3/8 (/ 1 (hypot 1 (/ 1 x)))) (+ (* 3/8 (/ 1 (pow (hypot 1 (/ 1 x)) 2))) (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))))) in x 7.109 * [taylor]: Taking taylor expansion of 7/8 in x 7.109 * [backup-simplify]: Simplify 7/8 into 7/8 7.109 * [taylor]: Taking taylor expansion of (+ (* 3/8 (/ 1 (hypot 1 (/ 1 x)))) (+ (* 3/8 (/ 1 (pow (hypot 1 (/ 1 x)) 2))) (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3))))) in x 7.109 * [taylor]: Taking taylor expansion of (* 3/8 (/ 1 (hypot 1 (/ 1 x)))) in x 7.109 * [taylor]: Taking taylor expansion of 3/8 in x 7.109 * [backup-simplify]: Simplify 3/8 into 3/8 7.109 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 7.109 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 7.109 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 7.109 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 7.109 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.109 * [taylor]: Taking taylor expansion of 1 in x 7.109 * [backup-simplify]: Simplify 1 into 1 7.109 * [taylor]: Taking taylor expansion of 1 in x 7.109 * [backup-simplify]: Simplify 1 into 1 7.109 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.109 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.109 * [taylor]: Taking taylor expansion of x in x 7.109 * [backup-simplify]: Simplify 0 into 0 7.109 * [backup-simplify]: Simplify 1 into 1 7.109 * [backup-simplify]: Simplify (/ 1 1) into 1 7.109 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.109 * [taylor]: Taking taylor expansion of x in x 7.109 * [backup-simplify]: Simplify 0 into 0 7.109 * [backup-simplify]: Simplify 1 into 1 7.110 * [backup-simplify]: Simplify (/ 1 1) into 1 7.110 * [backup-simplify]: Simplify (* 1 1) into 1 7.110 * [backup-simplify]: Simplify (+ 0 1) into 1 7.110 * [backup-simplify]: Simplify (sqrt 1) into 1 7.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.112 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.112 * [backup-simplify]: Simplify (+ 0 0) into 0 7.112 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.112 * [backup-simplify]: Simplify (/ 1 1) into 1 7.113 * [taylor]: Taking taylor expansion of (+ (* 3/8 (/ 1 (pow (hypot 1 (/ 1 x)) 2))) (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))) in x 7.113 * [taylor]: Taking taylor expansion of (* 3/8 (/ 1 (pow (hypot 1 (/ 1 x)) 2))) in x 7.113 * [taylor]: Taking taylor expansion of 3/8 in x 7.113 * [backup-simplify]: Simplify 3/8 into 3/8 7.113 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ 1 x)) 2)) in x 7.113 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 2) in x 7.113 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 7.113 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 7.113 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 7.113 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.113 * [taylor]: Taking taylor expansion of 1 in x 7.113 * [backup-simplify]: Simplify 1 into 1 7.113 * [taylor]: Taking taylor expansion of 1 in x 7.113 * [backup-simplify]: Simplify 1 into 1 7.113 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.113 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.113 * [taylor]: Taking taylor expansion of x in x 7.113 * [backup-simplify]: Simplify 0 into 0 7.113 * [backup-simplify]: Simplify 1 into 1 7.113 * [backup-simplify]: Simplify (/ 1 1) into 1 7.113 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.113 * [taylor]: Taking taylor expansion of x in x 7.113 * [backup-simplify]: Simplify 0 into 0 7.113 * [backup-simplify]: Simplify 1 into 1 7.113 * [backup-simplify]: Simplify (/ 1 1) into 1 7.114 * [backup-simplify]: Simplify (* 1 1) into 1 7.114 * [backup-simplify]: Simplify (+ 0 1) into 1 7.114 * [backup-simplify]: Simplify (sqrt 1) into 1 7.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.116 * [backup-simplify]: Simplify (+ 0 0) into 0 7.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.116 * [backup-simplify]: Simplify (* 1 1) into 1 7.117 * [backup-simplify]: Simplify (/ 1 1) into 1 7.117 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3))) in x 7.117 * [taylor]: Taking taylor expansion of 1/8 in x 7.117 * [backup-simplify]: Simplify 1/8 into 1/8 7.117 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ 1 x)) 3)) in x 7.117 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 3) in x 7.117 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 7.117 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 7.117 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 7.117 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.117 * [taylor]: Taking taylor expansion of 1 in x 7.117 * [backup-simplify]: Simplify 1 into 1 7.117 * [taylor]: Taking taylor expansion of 1 in x 7.117 * [backup-simplify]: Simplify 1 into 1 7.117 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.117 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.117 * [taylor]: Taking taylor expansion of x in x 7.117 * [backup-simplify]: Simplify 0 into 0 7.117 * [backup-simplify]: Simplify 1 into 1 7.117 * [backup-simplify]: Simplify (/ 1 1) into 1 7.117 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.117 * [taylor]: Taking taylor expansion of x in x 7.117 * [backup-simplify]: Simplify 0 into 0 7.117 * [backup-simplify]: Simplify 1 into 1 7.117 * [backup-simplify]: Simplify (/ 1 1) into 1 7.118 * [backup-simplify]: Simplify (* 1 1) into 1 7.118 * [backup-simplify]: Simplify (+ 0 1) into 1 7.118 * [backup-simplify]: Simplify (sqrt 1) into 1 7.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.120 * [backup-simplify]: Simplify (+ 0 0) into 0 7.120 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.120 * [backup-simplify]: Simplify (* 1 1) into 1 7.121 * [backup-simplify]: Simplify (* 1 1) into 1 7.121 * [backup-simplify]: Simplify (/ 1 1) into 1 7.121 * [backup-simplify]: Simplify (+ 7/8 0) into 7/8 7.121 * [backup-simplify]: Simplify 7/8 into 7/8 7.121 * [backup-simplify]: Simplify (* 3/8 1) into 3/8 7.122 * [backup-simplify]: Simplify (+ 3/8 0) into 3/8 7.122 * [backup-simplify]: Simplify (- 3/8) into -3/8 7.122 * [backup-simplify]: Simplify (+ 0 -3/8) into -3/8 7.122 * [backup-simplify]: Simplify -3/8 into -3/8 7.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.123 * [backup-simplify]: Simplify (+ (* 3/8 0) (* 0 1)) into 0 7.123 * [backup-simplify]: Simplify (* 3/8 1) into 3/8 7.124 * [backup-simplify]: Simplify (+ 3/8 0) into 3/8 7.124 * [backup-simplify]: Simplify (+ 0 3/8) into 3/8 7.124 * [backup-simplify]: Simplify (- 3/8) into -3/8 7.124 * [backup-simplify]: Simplify (+ 0 -3/8) into -3/8 7.124 * [backup-simplify]: Simplify -3/8 into -3/8 7.125 * [backup-simplify]: Simplify (+ (* -3/8 (pow (/ 1 x) 2)) (+ (* -3/8 (/ 1 x)) 7/8)) into (- 7/8 (+ (* 3/8 (/ 1 x)) (* 3/8 (/ 1 (pow x 2))))) 7.125 * [backup-simplify]: Simplify (- (* 1 1) (* (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))))) into (- 7/8 (+ (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3))) (+ (* 3/8 (/ 1 (hypot 1 (/ -1 x)))) (* 3/8 (/ 1 (pow (hypot 1 (/ -1 x)) 2)))))) 7.125 * [approximate]: Taking taylor expansion of (- 7/8 (+ (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3))) (+ (* 3/8 (/ 1 (hypot 1 (/ -1 x)))) (* 3/8 (/ 1 (pow (hypot 1 (/ -1 x)) 2)))))) in (x) around 0 7.125 * [taylor]: Taking taylor expansion of (- 7/8 (+ (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3))) (+ (* 3/8 (/ 1 (hypot 1 (/ -1 x)))) (* 3/8 (/ 1 (pow (hypot 1 (/ -1 x)) 2)))))) in x 7.125 * [taylor]: Taking taylor expansion of 7/8 in x 7.125 * [backup-simplify]: Simplify 7/8 into 7/8 7.125 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3))) (+ (* 3/8 (/ 1 (hypot 1 (/ -1 x)))) (* 3/8 (/ 1 (pow (hypot 1 (/ -1 x)) 2))))) in x 7.125 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3))) in x 7.125 * [taylor]: Taking taylor expansion of 1/8 in x 7.125 * [backup-simplify]: Simplify 1/8 into 1/8 7.125 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ -1 x)) 3)) in x 7.125 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 3) in x 7.125 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 7.126 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 7.126 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 7.126 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.126 * [taylor]: Taking taylor expansion of 1 in x 7.126 * [backup-simplify]: Simplify 1 into 1 7.126 * [taylor]: Taking taylor expansion of 1 in x 7.126 * [backup-simplify]: Simplify 1 into 1 7.126 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.126 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.126 * [taylor]: Taking taylor expansion of -1 in x 7.126 * [backup-simplify]: Simplify -1 into -1 7.126 * [taylor]: Taking taylor expansion of x in x 7.126 * [backup-simplify]: Simplify 0 into 0 7.126 * [backup-simplify]: Simplify 1 into 1 7.126 * [backup-simplify]: Simplify (/ -1 1) into -1 7.126 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.126 * [taylor]: Taking taylor expansion of -1 in x 7.126 * [backup-simplify]: Simplify -1 into -1 7.126 * [taylor]: Taking taylor expansion of x in x 7.126 * [backup-simplify]: Simplify 0 into 0 7.126 * [backup-simplify]: Simplify 1 into 1 7.126 * [backup-simplify]: Simplify (/ -1 1) into -1 7.127 * [backup-simplify]: Simplify (* -1 -1) into 1 7.127 * [backup-simplify]: Simplify (+ 0 1) into 1 7.127 * [backup-simplify]: Simplify (sqrt 1) into 1 7.128 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.128 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.129 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.129 * [backup-simplify]: Simplify (+ 0 0) into 0 7.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.129 * [backup-simplify]: Simplify (* 1 1) into 1 7.130 * [backup-simplify]: Simplify (* 1 1) into 1 7.130 * [backup-simplify]: Simplify (/ 1 1) into 1 7.130 * [taylor]: Taking taylor expansion of (+ (* 3/8 (/ 1 (hypot 1 (/ -1 x)))) (* 3/8 (/ 1 (pow (hypot 1 (/ -1 x)) 2)))) in x 7.130 * [taylor]: Taking taylor expansion of (* 3/8 (/ 1 (hypot 1 (/ -1 x)))) in x 7.130 * [taylor]: Taking taylor expansion of 3/8 in x 7.130 * [backup-simplify]: Simplify 3/8 into 3/8 7.130 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 7.130 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 7.130 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 7.130 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 7.130 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.130 * [taylor]: Taking taylor expansion of 1 in x 7.130 * [backup-simplify]: Simplify 1 into 1 7.130 * [taylor]: Taking taylor expansion of 1 in x 7.130 * [backup-simplify]: Simplify 1 into 1 7.130 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.130 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.130 * [taylor]: Taking taylor expansion of -1 in x 7.130 * [backup-simplify]: Simplify -1 into -1 7.130 * [taylor]: Taking taylor expansion of x in x 7.130 * [backup-simplify]: Simplify 0 into 0 7.130 * [backup-simplify]: Simplify 1 into 1 7.131 * [backup-simplify]: Simplify (/ -1 1) into -1 7.131 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.131 * [taylor]: Taking taylor expansion of -1 in x 7.131 * [backup-simplify]: Simplify -1 into -1 7.131 * [taylor]: Taking taylor expansion of x in x 7.131 * [backup-simplify]: Simplify 0 into 0 7.131 * [backup-simplify]: Simplify 1 into 1 7.131 * [backup-simplify]: Simplify (/ -1 1) into -1 7.131 * [backup-simplify]: Simplify (* -1 -1) into 1 7.131 * [backup-simplify]: Simplify (+ 0 1) into 1 7.132 * [backup-simplify]: Simplify (sqrt 1) into 1 7.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.133 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.133 * [backup-simplify]: Simplify (+ 0 0) into 0 7.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.134 * [backup-simplify]: Simplify (/ 1 1) into 1 7.134 * [taylor]: Taking taylor expansion of (* 3/8 (/ 1 (pow (hypot 1 (/ -1 x)) 2))) in x 7.134 * [taylor]: Taking taylor expansion of 3/8 in x 7.134 * [backup-simplify]: Simplify 3/8 into 3/8 7.134 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ -1 x)) 2)) in x 7.134 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 2) in x 7.134 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 7.134 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 7.134 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 7.134 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.134 * [taylor]: Taking taylor expansion of 1 in x 7.134 * [backup-simplify]: Simplify 1 into 1 7.134 * [taylor]: Taking taylor expansion of 1 in x 7.134 * [backup-simplify]: Simplify 1 into 1 7.134 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.134 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.134 * [taylor]: Taking taylor expansion of -1 in x 7.134 * [backup-simplify]: Simplify -1 into -1 7.134 * [taylor]: Taking taylor expansion of x in x 7.134 * [backup-simplify]: Simplify 0 into 0 7.134 * [backup-simplify]: Simplify 1 into 1 7.135 * [backup-simplify]: Simplify (/ -1 1) into -1 7.135 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.135 * [taylor]: Taking taylor expansion of -1 in x 7.135 * [backup-simplify]: Simplify -1 into -1 7.135 * [taylor]: Taking taylor expansion of x in x 7.135 * [backup-simplify]: Simplify 0 into 0 7.135 * [backup-simplify]: Simplify 1 into 1 7.135 * [backup-simplify]: Simplify (/ -1 1) into -1 7.135 * [backup-simplify]: Simplify (* -1 -1) into 1 7.135 * [backup-simplify]: Simplify (+ 0 1) into 1 7.136 * [backup-simplify]: Simplify (sqrt 1) into 1 7.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.137 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.137 * [backup-simplify]: Simplify (+ 0 0) into 0 7.138 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.138 * [backup-simplify]: Simplify (* 1 1) into 1 7.138 * [backup-simplify]: Simplify (/ 1 1) into 1 7.138 * [taylor]: Taking taylor expansion of (- 7/8 (+ (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3))) (+ (* 3/8 (/ 1 (hypot 1 (/ -1 x)))) (* 3/8 (/ 1 (pow (hypot 1 (/ -1 x)) 2)))))) in x 7.138 * [taylor]: Taking taylor expansion of 7/8 in x 7.138 * [backup-simplify]: Simplify 7/8 into 7/8 7.138 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3))) (+ (* 3/8 (/ 1 (hypot 1 (/ -1 x)))) (* 3/8 (/ 1 (pow (hypot 1 (/ -1 x)) 2))))) in x 7.138 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3))) in x 7.138 * [taylor]: Taking taylor expansion of 1/8 in x 7.138 * [backup-simplify]: Simplify 1/8 into 1/8 7.138 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ -1 x)) 3)) in x 7.138 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 3) in x 7.138 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 7.138 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 7.138 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 7.138 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.139 * [taylor]: Taking taylor expansion of 1 in x 7.139 * [backup-simplify]: Simplify 1 into 1 7.139 * [taylor]: Taking taylor expansion of 1 in x 7.139 * [backup-simplify]: Simplify 1 into 1 7.139 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.139 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.139 * [taylor]: Taking taylor expansion of -1 in x 7.139 * [backup-simplify]: Simplify -1 into -1 7.139 * [taylor]: Taking taylor expansion of x in x 7.139 * [backup-simplify]: Simplify 0 into 0 7.139 * [backup-simplify]: Simplify 1 into 1 7.139 * [backup-simplify]: Simplify (/ -1 1) into -1 7.139 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.139 * [taylor]: Taking taylor expansion of -1 in x 7.139 * [backup-simplify]: Simplify -1 into -1 7.139 * [taylor]: Taking taylor expansion of x in x 7.139 * [backup-simplify]: Simplify 0 into 0 7.139 * [backup-simplify]: Simplify 1 into 1 7.139 * [backup-simplify]: Simplify (/ -1 1) into -1 7.140 * [backup-simplify]: Simplify (* -1 -1) into 1 7.140 * [backup-simplify]: Simplify (+ 0 1) into 1 7.140 * [backup-simplify]: Simplify (sqrt 1) into 1 7.141 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.141 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.141 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.142 * [backup-simplify]: Simplify (+ 0 0) into 0 7.142 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.142 * [backup-simplify]: Simplify (* 1 1) into 1 7.143 * [backup-simplify]: Simplify (* 1 1) into 1 7.143 * [backup-simplify]: Simplify (/ 1 1) into 1 7.143 * [taylor]: Taking taylor expansion of (+ (* 3/8 (/ 1 (hypot 1 (/ -1 x)))) (* 3/8 (/ 1 (pow (hypot 1 (/ -1 x)) 2)))) in x 7.143 * [taylor]: Taking taylor expansion of (* 3/8 (/ 1 (hypot 1 (/ -1 x)))) in x 7.143 * [taylor]: Taking taylor expansion of 3/8 in x 7.143 * [backup-simplify]: Simplify 3/8 into 3/8 7.143 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 7.143 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 7.143 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 7.143 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 7.143 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.143 * [taylor]: Taking taylor expansion of 1 in x 7.143 * [backup-simplify]: Simplify 1 into 1 7.143 * [taylor]: Taking taylor expansion of 1 in x 7.143 * [backup-simplify]: Simplify 1 into 1 7.143 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.143 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.143 * [taylor]: Taking taylor expansion of -1 in x 7.143 * [backup-simplify]: Simplify -1 into -1 7.143 * [taylor]: Taking taylor expansion of x in x 7.143 * [backup-simplify]: Simplify 0 into 0 7.143 * [backup-simplify]: Simplify 1 into 1 7.143 * [backup-simplify]: Simplify (/ -1 1) into -1 7.143 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.143 * [taylor]: Taking taylor expansion of -1 in x 7.143 * [backup-simplify]: Simplify -1 into -1 7.143 * [taylor]: Taking taylor expansion of x in x 7.144 * [backup-simplify]: Simplify 0 into 0 7.144 * [backup-simplify]: Simplify 1 into 1 7.144 * [backup-simplify]: Simplify (/ -1 1) into -1 7.144 * [backup-simplify]: Simplify (* -1 -1) into 1 7.144 * [backup-simplify]: Simplify (+ 0 1) into 1 7.145 * [backup-simplify]: Simplify (sqrt 1) into 1 7.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.146 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.146 * [backup-simplify]: Simplify (+ 0 0) into 0 7.147 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.147 * [backup-simplify]: Simplify (/ 1 1) into 1 7.147 * [taylor]: Taking taylor expansion of (* 3/8 (/ 1 (pow (hypot 1 (/ -1 x)) 2))) in x 7.147 * [taylor]: Taking taylor expansion of 3/8 in x 7.147 * [backup-simplify]: Simplify 3/8 into 3/8 7.147 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ -1 x)) 2)) in x 7.147 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 2) in x 7.147 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 7.147 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 7.147 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 7.147 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.147 * [taylor]: Taking taylor expansion of 1 in x 7.147 * [backup-simplify]: Simplify 1 into 1 7.147 * [taylor]: Taking taylor expansion of 1 in x 7.147 * [backup-simplify]: Simplify 1 into 1 7.147 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.147 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.147 * [taylor]: Taking taylor expansion of -1 in x 7.147 * [backup-simplify]: Simplify -1 into -1 7.147 * [taylor]: Taking taylor expansion of x in x 7.147 * [backup-simplify]: Simplify 0 into 0 7.147 * [backup-simplify]: Simplify 1 into 1 7.147 * [backup-simplify]: Simplify (/ -1 1) into -1 7.147 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.148 * [taylor]: Taking taylor expansion of -1 in x 7.148 * [backup-simplify]: Simplify -1 into -1 7.148 * [taylor]: Taking taylor expansion of x in x 7.148 * [backup-simplify]: Simplify 0 into 0 7.148 * [backup-simplify]: Simplify 1 into 1 7.148 * [backup-simplify]: Simplify (/ -1 1) into -1 7.148 * [backup-simplify]: Simplify (* -1 -1) into 1 7.149 * [backup-simplify]: Simplify (+ 0 1) into 1 7.149 * [backup-simplify]: Simplify (sqrt 1) into 1 7.149 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.150 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.151 * [backup-simplify]: Simplify (+ 0 0) into 0 7.151 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.151 * [backup-simplify]: Simplify (* 1 1) into 1 7.151 * [backup-simplify]: Simplify (/ 1 1) into 1 7.152 * [backup-simplify]: Simplify (+ 7/8 0) into 7/8 7.152 * [backup-simplify]: Simplify 7/8 into 7/8 7.152 * [backup-simplify]: Simplify (* 3/8 1) into 3/8 7.153 * [backup-simplify]: Simplify (+ 3/8 0) into 3/8 7.153 * [backup-simplify]: Simplify (+ 0 3/8) into 3/8 7.154 * [backup-simplify]: Simplify (- 3/8) into -3/8 7.154 * [backup-simplify]: Simplify (+ 0 -3/8) into -3/8 7.154 * [backup-simplify]: Simplify -3/8 into -3/8 7.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.161 * [backup-simplify]: Simplify (+ (* 3/8 0) (* 0 1)) into 0 7.162 * [backup-simplify]: Simplify (* 3/8 1) into 3/8 7.163 * [backup-simplify]: Simplify (+ 0 3/8) into 3/8 7.163 * [backup-simplify]: Simplify (+ 0 3/8) into 3/8 7.164 * [backup-simplify]: Simplify (- 3/8) into -3/8 7.164 * [backup-simplify]: Simplify (+ 0 -3/8) into -3/8 7.164 * [backup-simplify]: Simplify -3/8 into -3/8 7.165 * [backup-simplify]: Simplify (+ (* -3/8 (pow (/ 1 (- x)) 2)) (+ (* -3/8 (/ 1 (- x))) 7/8)) into (- (+ (* 3/8 (/ 1 x)) 7/8) (* 3/8 (/ 1 (pow x 2)))) 7.165 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 7.165 * [backup-simplify]: Simplify (* (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) into (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) 7.165 * [approximate]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in (x) around 0 7.165 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 7.165 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 7.165 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 7.165 * [taylor]: Taking taylor expansion of 1/2 in x 7.165 * [backup-simplify]: Simplify 1/2 into 1/2 7.165 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 7.165 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 7.166 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 7.166 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 7.166 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.166 * [taylor]: Taking taylor expansion of 1 in x 7.166 * [backup-simplify]: Simplify 1 into 1 7.166 * [taylor]: Taking taylor expansion of 1 in x 7.166 * [backup-simplify]: Simplify 1 into 1 7.166 * [taylor]: Taking taylor expansion of (* x x) in x 7.166 * [taylor]: Taking taylor expansion of x in x 7.166 * [backup-simplify]: Simplify 0 into 0 7.166 * [backup-simplify]: Simplify 1 into 1 7.166 * [taylor]: Taking taylor expansion of x in x 7.166 * [backup-simplify]: Simplify 0 into 0 7.166 * [backup-simplify]: Simplify 1 into 1 7.166 * [backup-simplify]: Simplify (* 1 1) into 1 7.167 * [backup-simplify]: Simplify (* 0 0) into 0 7.167 * [backup-simplify]: Simplify (+ 1 0) into 1 7.168 * [backup-simplify]: Simplify (sqrt 1) into 1 7.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.168 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.169 * [backup-simplify]: Simplify (+ 0 0) into 0 7.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.169 * [backup-simplify]: Simplify (/ 1 1) into 1 7.169 * [taylor]: Taking taylor expansion of 1/2 in x 7.169 * [backup-simplify]: Simplify 1/2 into 1/2 7.170 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 7.170 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 7.170 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 7.170 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 7.170 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 7.170 * [taylor]: Taking taylor expansion of 1/2 in x 7.170 * [backup-simplify]: Simplify 1/2 into 1/2 7.170 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 7.170 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 7.170 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 7.170 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 7.170 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.170 * [taylor]: Taking taylor expansion of 1 in x 7.170 * [backup-simplify]: Simplify 1 into 1 7.170 * [taylor]: Taking taylor expansion of 1 in x 7.170 * [backup-simplify]: Simplify 1 into 1 7.170 * [taylor]: Taking taylor expansion of (* x x) in x 7.170 * [taylor]: Taking taylor expansion of x in x 7.170 * [backup-simplify]: Simplify 0 into 0 7.170 * [backup-simplify]: Simplify 1 into 1 7.170 * [taylor]: Taking taylor expansion of x in x 7.170 * [backup-simplify]: Simplify 0 into 0 7.170 * [backup-simplify]: Simplify 1 into 1 7.170 * [backup-simplify]: Simplify (* 1 1) into 1 7.171 * [backup-simplify]: Simplify (* 0 0) into 0 7.171 * [backup-simplify]: Simplify (+ 1 0) into 1 7.171 * [backup-simplify]: Simplify (sqrt 1) into 1 7.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.172 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.172 * [backup-simplify]: Simplify (+ 0 0) into 0 7.173 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.173 * [backup-simplify]: Simplify (/ 1 1) into 1 7.173 * [taylor]: Taking taylor expansion of 1/2 in x 7.173 * [backup-simplify]: Simplify 1/2 into 1/2 7.173 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 7.173 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 7.174 * [backup-simplify]: Simplify (* 1 1) into 1 7.174 * [backup-simplify]: Simplify (* 1 1) into 1 7.174 * [backup-simplify]: Simplify 1 into 1 7.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.175 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.175 * [backup-simplify]: Simplify (+ 0 0) into 0 7.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.176 * [backup-simplify]: Simplify 0 into 0 7.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.177 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 7.177 * [backup-simplify]: Simplify (+ 0 1) into 1 7.178 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 7.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 7.179 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 7.179 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 7.180 * [backup-simplify]: Simplify (+ (* 1 -1/4) (+ (* 0 0) (* -1/4 1))) into -1/2 7.181 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/4 1))) into -3/4 7.181 * [backup-simplify]: Simplify -3/4 into -3/4 7.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.182 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 7.182 * [backup-simplify]: Simplify (+ 0 0) into 0 7.183 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 7.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 7.184 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 7.185 * [backup-simplify]: Simplify (+ 0 0) into 0 7.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/4) (+ (* -1/4 0) (* 0 1)))) into 0 7.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/4 0) (* 0 1)))) into 0 7.186 * [backup-simplify]: Simplify 0 into 0 7.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.188 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.188 * [backup-simplify]: Simplify (+ 0 0) into 0 7.189 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 7.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 7.190 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 7.191 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 7.192 * [backup-simplify]: Simplify (+ (* 1 3/16) (+ (* 0 0) (+ (* -1/4 -1/4) (+ (* 0 0) (* 3/16 1))))) into 7/16 7.193 * [backup-simplify]: Simplify (+ (* 1 7/16) (+ (* 0 0) (+ (* -1/4 -1/2) (+ (* 0 0) (* 3/16 1))))) into 3/4 7.193 * [backup-simplify]: Simplify 3/4 into 3/4 7.193 * [backup-simplify]: Simplify (+ (* 3/4 (pow x 4)) (+ (* -3/4 (pow x 2)) 1)) into (- (+ (* 3/4 (pow x 4)) 1) (* 3/4 (pow x 2))) 7.193 * [backup-simplify]: Simplify (* (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x)))))) into (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) 7.193 * [approximate]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in (x) around 0 7.193 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 7.193 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 7.193 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 7.193 * [taylor]: Taking taylor expansion of 1/2 in x 7.193 * [backup-simplify]: Simplify 1/2 into 1/2 7.193 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 7.193 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 7.193 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 7.193 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 7.193 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.193 * [taylor]: Taking taylor expansion of 1 in x 7.193 * [backup-simplify]: Simplify 1 into 1 7.193 * [taylor]: Taking taylor expansion of 1 in x 7.193 * [backup-simplify]: Simplify 1 into 1 7.194 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.194 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.194 * [taylor]: Taking taylor expansion of x in x 7.194 * [backup-simplify]: Simplify 0 into 0 7.194 * [backup-simplify]: Simplify 1 into 1 7.194 * [backup-simplify]: Simplify (/ 1 1) into 1 7.194 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.194 * [taylor]: Taking taylor expansion of x in x 7.194 * [backup-simplify]: Simplify 0 into 0 7.194 * [backup-simplify]: Simplify 1 into 1 7.194 * [backup-simplify]: Simplify (/ 1 1) into 1 7.194 * [backup-simplify]: Simplify (* 1 1) into 1 7.195 * [backup-simplify]: Simplify (+ 0 1) into 1 7.195 * [backup-simplify]: Simplify (sqrt 1) into 1 7.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.196 * [backup-simplify]: Simplify (+ 0 0) into 0 7.197 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.197 * [backup-simplify]: Simplify (/ 1 1) into 1 7.197 * [taylor]: Taking taylor expansion of 1/2 in x 7.197 * [backup-simplify]: Simplify 1/2 into 1/2 7.197 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 7.197 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 7.197 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 7.197 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 7.197 * [taylor]: Taking taylor expansion of 1/2 in x 7.198 * [backup-simplify]: Simplify 1/2 into 1/2 7.198 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 7.198 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 7.198 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 7.198 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 7.198 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.198 * [taylor]: Taking taylor expansion of 1 in x 7.198 * [backup-simplify]: Simplify 1 into 1 7.198 * [taylor]: Taking taylor expansion of 1 in x 7.198 * [backup-simplify]: Simplify 1 into 1 7.198 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.198 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.198 * [taylor]: Taking taylor expansion of x in x 7.198 * [backup-simplify]: Simplify 0 into 0 7.198 * [backup-simplify]: Simplify 1 into 1 7.198 * [backup-simplify]: Simplify (/ 1 1) into 1 7.198 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.198 * [taylor]: Taking taylor expansion of x in x 7.198 * [backup-simplify]: Simplify 0 into 0 7.198 * [backup-simplify]: Simplify 1 into 1 7.198 * [backup-simplify]: Simplify (/ 1 1) into 1 7.199 * [backup-simplify]: Simplify (* 1 1) into 1 7.199 * [backup-simplify]: Simplify (+ 0 1) into 1 7.199 * [backup-simplify]: Simplify (sqrt 1) into 1 7.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.201 * [backup-simplify]: Simplify (+ 0 0) into 0 7.201 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.201 * [backup-simplify]: Simplify (/ 1 1) into 1 7.201 * [taylor]: Taking taylor expansion of 1/2 in x 7.201 * [backup-simplify]: Simplify 1/2 into 1/2 7.202 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 7.202 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 7.202 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 7.202 * [backup-simplify]: Simplify 1/8 into 1/8 7.202 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 7.203 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 7.203 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 7.203 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 7.203 * [backup-simplify]: Simplify 3/8 into 3/8 7.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.204 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.205 * [backup-simplify]: Simplify (+ 0 0) into 0 7.205 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 7.206 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 7.206 * [backup-simplify]: Simplify 3/8 into 3/8 7.206 * [backup-simplify]: Simplify (+ (* 3/8 (pow (/ 1 x) 2)) (+ (* 3/8 (/ 1 x)) 1/8)) into (+ (* 3/8 (/ 1 (pow x 2))) (+ (* 3/8 (/ 1 x)) 1/8)) 7.206 * [backup-simplify]: Simplify (* (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))))) into (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) 7.206 * [approximate]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in (x) around 0 7.206 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 7.207 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 7.207 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 7.207 * [taylor]: Taking taylor expansion of 1/2 in x 7.207 * [backup-simplify]: Simplify 1/2 into 1/2 7.207 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 7.207 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 7.207 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 7.207 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 7.207 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.207 * [taylor]: Taking taylor expansion of 1 in x 7.207 * [backup-simplify]: Simplify 1 into 1 7.207 * [taylor]: Taking taylor expansion of 1 in x 7.207 * [backup-simplify]: Simplify 1 into 1 7.207 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.207 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.207 * [taylor]: Taking taylor expansion of -1 in x 7.207 * [backup-simplify]: Simplify -1 into -1 7.207 * [taylor]: Taking taylor expansion of x in x 7.207 * [backup-simplify]: Simplify 0 into 0 7.207 * [backup-simplify]: Simplify 1 into 1 7.207 * [backup-simplify]: Simplify (/ -1 1) into -1 7.207 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.207 * [taylor]: Taking taylor expansion of -1 in x 7.207 * [backup-simplify]: Simplify -1 into -1 7.207 * [taylor]: Taking taylor expansion of x in x 7.207 * [backup-simplify]: Simplify 0 into 0 7.207 * [backup-simplify]: Simplify 1 into 1 7.208 * [backup-simplify]: Simplify (/ -1 1) into -1 7.208 * [backup-simplify]: Simplify (* -1 -1) into 1 7.208 * [backup-simplify]: Simplify (+ 0 1) into 1 7.208 * [backup-simplify]: Simplify (sqrt 1) into 1 7.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.210 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.210 * [backup-simplify]: Simplify (+ 0 0) into 0 7.210 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.211 * [backup-simplify]: Simplify (/ 1 1) into 1 7.211 * [taylor]: Taking taylor expansion of 1/2 in x 7.211 * [backup-simplify]: Simplify 1/2 into 1/2 7.211 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 7.211 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 7.211 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 7.211 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 7.211 * [taylor]: Taking taylor expansion of 1/2 in x 7.211 * [backup-simplify]: Simplify 1/2 into 1/2 7.211 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 7.211 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 7.211 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 7.211 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 7.211 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.211 * [taylor]: Taking taylor expansion of 1 in x 7.211 * [backup-simplify]: Simplify 1 into 1 7.211 * [taylor]: Taking taylor expansion of 1 in x 7.211 * [backup-simplify]: Simplify 1 into 1 7.211 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.211 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.211 * [taylor]: Taking taylor expansion of -1 in x 7.211 * [backup-simplify]: Simplify -1 into -1 7.211 * [taylor]: Taking taylor expansion of x in x 7.211 * [backup-simplify]: Simplify 0 into 0 7.211 * [backup-simplify]: Simplify 1 into 1 7.212 * [backup-simplify]: Simplify (/ -1 1) into -1 7.212 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.212 * [taylor]: Taking taylor expansion of -1 in x 7.212 * [backup-simplify]: Simplify -1 into -1 7.212 * [taylor]: Taking taylor expansion of x in x 7.212 * [backup-simplify]: Simplify 0 into 0 7.212 * [backup-simplify]: Simplify 1 into 1 7.212 * [backup-simplify]: Simplify (/ -1 1) into -1 7.212 * [backup-simplify]: Simplify (* -1 -1) into 1 7.213 * [backup-simplify]: Simplify (+ 0 1) into 1 7.213 * [backup-simplify]: Simplify (sqrt 1) into 1 7.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.214 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.214 * [backup-simplify]: Simplify (+ 0 0) into 0 7.215 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.215 * [backup-simplify]: Simplify (/ 1 1) into 1 7.215 * [taylor]: Taking taylor expansion of 1/2 in x 7.215 * [backup-simplify]: Simplify 1/2 into 1/2 7.215 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 7.216 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 7.216 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 7.216 * [backup-simplify]: Simplify 1/8 into 1/8 7.216 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 7.217 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 7.217 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 7.217 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 7.217 * [backup-simplify]: Simplify 3/8 into 3/8 7.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.218 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.219 * [backup-simplify]: Simplify (+ 0 0) into 0 7.219 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 7.220 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 7.220 * [backup-simplify]: Simplify 3/8 into 3/8 7.220 * [backup-simplify]: Simplify (+ (* 3/8 (pow (/ 1 (- x)) 2)) (+ (* 3/8 (/ 1 (- x))) 1/8)) into (- (+ (* 3/8 (/ 1 (pow x 2))) 1/8) (* 3/8 (/ 1 x))) 7.220 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 2) 7.220 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 7.220 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 7.220 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 7.220 * [taylor]: Taking taylor expansion of 1/2 in x 7.220 * [backup-simplify]: Simplify 1/2 into 1/2 7.220 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 7.220 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 7.220 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 7.220 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.220 * [taylor]: Taking taylor expansion of 1 in x 7.221 * [backup-simplify]: Simplify 1 into 1 7.221 * [taylor]: Taking taylor expansion of 1 in x 7.221 * [backup-simplify]: Simplify 1 into 1 7.221 * [taylor]: Taking taylor expansion of (* x x) in x 7.221 * [taylor]: Taking taylor expansion of x in x 7.221 * [backup-simplify]: Simplify 0 into 0 7.221 * [backup-simplify]: Simplify 1 into 1 7.221 * [taylor]: Taking taylor expansion of x in x 7.221 * [backup-simplify]: Simplify 0 into 0 7.221 * [backup-simplify]: Simplify 1 into 1 7.221 * [backup-simplify]: Simplify (* 1 1) into 1 7.221 * [backup-simplify]: Simplify (* 0 0) into 0 7.222 * [backup-simplify]: Simplify (+ 1 0) into 1 7.222 * [backup-simplify]: Simplify (sqrt 1) into 1 7.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.224 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.224 * [backup-simplify]: Simplify (+ 0 0) into 0 7.225 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.225 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.225 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 7.225 * [taylor]: Taking taylor expansion of 1/2 in x 7.225 * [backup-simplify]: Simplify 1/2 into 1/2 7.225 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 7.225 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 7.225 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 7.225 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.226 * [taylor]: Taking taylor expansion of 1 in x 7.226 * [backup-simplify]: Simplify 1 into 1 7.226 * [taylor]: Taking taylor expansion of 1 in x 7.226 * [backup-simplify]: Simplify 1 into 1 7.226 * [taylor]: Taking taylor expansion of (* x x) in x 7.226 * [taylor]: Taking taylor expansion of x in x 7.226 * [backup-simplify]: Simplify 0 into 0 7.226 * [backup-simplify]: Simplify 1 into 1 7.226 * [taylor]: Taking taylor expansion of x in x 7.226 * [backup-simplify]: Simplify 0 into 0 7.226 * [backup-simplify]: Simplify 1 into 1 7.226 * [backup-simplify]: Simplify (* 1 1) into 1 7.227 * [backup-simplify]: Simplify (* 0 0) into 0 7.227 * [backup-simplify]: Simplify (+ 1 0) into 1 7.227 * [backup-simplify]: Simplify (sqrt 1) into 1 7.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.229 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.229 * [backup-simplify]: Simplify (+ 0 0) into 0 7.230 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.230 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.230 * [backup-simplify]: Simplify 1/2 into 1/2 7.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.231 * [backup-simplify]: Simplify 0 into 0 7.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.233 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 7.233 * [backup-simplify]: Simplify (+ 0 1) into 1 7.234 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 7.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 7.236 * [backup-simplify]: Simplify -1/4 into -1/4 7.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.238 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 7.238 * [backup-simplify]: Simplify (+ 0 0) into 0 7.239 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 7.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 7.241 * [backup-simplify]: Simplify 0 into 0 7.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.243 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.243 * [backup-simplify]: Simplify (+ 0 0) into 0 7.245 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 7.247 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 7.247 * [backup-simplify]: Simplify 3/16 into 3/16 7.247 * [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))) 7.247 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 7.247 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 7.247 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 7.247 * [taylor]: Taking taylor expansion of 1/2 in x 7.247 * [backup-simplify]: Simplify 1/2 into 1/2 7.247 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 7.247 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 7.247 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 7.247 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.247 * [taylor]: Taking taylor expansion of 1 in x 7.247 * [backup-simplify]: Simplify 1 into 1 7.247 * [taylor]: Taking taylor expansion of 1 in x 7.247 * [backup-simplify]: Simplify 1 into 1 7.247 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.247 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.247 * [taylor]: Taking taylor expansion of x in x 7.248 * [backup-simplify]: Simplify 0 into 0 7.248 * [backup-simplify]: Simplify 1 into 1 7.248 * [backup-simplify]: Simplify (/ 1 1) into 1 7.248 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.248 * [taylor]: Taking taylor expansion of x in x 7.248 * [backup-simplify]: Simplify 0 into 0 7.248 * [backup-simplify]: Simplify 1 into 1 7.248 * [backup-simplify]: Simplify (/ 1 1) into 1 7.249 * [backup-simplify]: Simplify (* 1 1) into 1 7.249 * [backup-simplify]: Simplify (+ 0 1) into 1 7.250 * [backup-simplify]: Simplify (sqrt 1) into 1 7.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.252 * [backup-simplify]: Simplify (+ 0 0) into 0 7.253 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.253 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.253 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 7.253 * [taylor]: Taking taylor expansion of 1/2 in x 7.253 * [backup-simplify]: Simplify 1/2 into 1/2 7.253 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 7.253 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 7.253 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 7.253 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.254 * [taylor]: Taking taylor expansion of 1 in x 7.254 * [backup-simplify]: Simplify 1 into 1 7.254 * [taylor]: Taking taylor expansion of 1 in x 7.254 * [backup-simplify]: Simplify 1 into 1 7.254 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.254 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.254 * [taylor]: Taking taylor expansion of x in x 7.254 * [backup-simplify]: Simplify 0 into 0 7.254 * [backup-simplify]: Simplify 1 into 1 7.254 * [backup-simplify]: Simplify (/ 1 1) into 1 7.254 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.254 * [taylor]: Taking taylor expansion of x in x 7.254 * [backup-simplify]: Simplify 0 into 0 7.254 * [backup-simplify]: Simplify 1 into 1 7.255 * [backup-simplify]: Simplify (/ 1 1) into 1 7.255 * [backup-simplify]: Simplify (* 1 1) into 1 7.255 * [backup-simplify]: Simplify (+ 0 1) into 1 7.256 * [backup-simplify]: Simplify (sqrt 1) into 1 7.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.258 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.258 * [backup-simplify]: Simplify (+ 0 0) into 0 7.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.260 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.260 * [backup-simplify]: Simplify 1/2 into 1/2 7.261 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.261 * [backup-simplify]: Simplify 0 into 0 7.261 * [backup-simplify]: Simplify (* 1 1) into 1 7.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.264 * [backup-simplify]: Simplify (+ 1 0) into 1 7.265 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 7.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 7.266 * [backup-simplify]: Simplify -1/4 into -1/4 7.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.274 * [backup-simplify]: Simplify (+ 0 0) into 0 7.275 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 7.276 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 7.276 * [backup-simplify]: Simplify 0 into 0 7.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.278 * [backup-simplify]: Simplify (+ 0 0) into 0 7.279 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 7.280 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 7.280 * [backup-simplify]: Simplify 3/16 into 3/16 7.280 * [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)))) 7.280 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 7.280 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 7.281 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 7.281 * [taylor]: Taking taylor expansion of 1/2 in x 7.281 * [backup-simplify]: Simplify 1/2 into 1/2 7.281 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 7.281 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 7.281 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 7.281 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.281 * [taylor]: Taking taylor expansion of 1 in x 7.281 * [backup-simplify]: Simplify 1 into 1 7.281 * [taylor]: Taking taylor expansion of 1 in x 7.281 * [backup-simplify]: Simplify 1 into 1 7.281 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.281 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.281 * [taylor]: Taking taylor expansion of -1 in x 7.281 * [backup-simplify]: Simplify -1 into -1 7.281 * [taylor]: Taking taylor expansion of x in x 7.281 * [backup-simplify]: Simplify 0 into 0 7.281 * [backup-simplify]: Simplify 1 into 1 7.281 * [backup-simplify]: Simplify (/ -1 1) into -1 7.281 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.281 * [taylor]: Taking taylor expansion of -1 in x 7.281 * [backup-simplify]: Simplify -1 into -1 7.281 * [taylor]: Taking taylor expansion of x in x 7.281 * [backup-simplify]: Simplify 0 into 0 7.281 * [backup-simplify]: Simplify 1 into 1 7.281 * [backup-simplify]: Simplify (/ -1 1) into -1 7.282 * [backup-simplify]: Simplify (* -1 -1) into 1 7.282 * [backup-simplify]: Simplify (+ 0 1) into 1 7.282 * [backup-simplify]: Simplify (sqrt 1) into 1 7.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.284 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.284 * [backup-simplify]: Simplify (+ 0 0) into 0 7.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.285 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.285 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 7.285 * [taylor]: Taking taylor expansion of 1/2 in x 7.285 * [backup-simplify]: Simplify 1/2 into 1/2 7.285 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 7.285 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 7.285 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 7.285 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.285 * [taylor]: Taking taylor expansion of 1 in x 7.285 * [backup-simplify]: Simplify 1 into 1 7.285 * [taylor]: Taking taylor expansion of 1 in x 7.285 * [backup-simplify]: Simplify 1 into 1 7.285 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.285 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.285 * [taylor]: Taking taylor expansion of -1 in x 7.285 * [backup-simplify]: Simplify -1 into -1 7.285 * [taylor]: Taking taylor expansion of x in x 7.285 * [backup-simplify]: Simplify 0 into 0 7.285 * [backup-simplify]: Simplify 1 into 1 7.285 * [backup-simplify]: Simplify (/ -1 1) into -1 7.285 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.285 * [taylor]: Taking taylor expansion of -1 in x 7.285 * [backup-simplify]: Simplify -1 into -1 7.285 * [taylor]: Taking taylor expansion of x in x 7.285 * [backup-simplify]: Simplify 0 into 0 7.285 * [backup-simplify]: Simplify 1 into 1 7.285 * [backup-simplify]: Simplify (/ -1 1) into -1 7.286 * [backup-simplify]: Simplify (* -1 -1) into 1 7.286 * [backup-simplify]: Simplify (+ 0 1) into 1 7.286 * [backup-simplify]: Simplify (sqrt 1) into 1 7.287 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.287 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.288 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.288 * [backup-simplify]: Simplify (+ 0 0) into 0 7.288 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.289 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.289 * [backup-simplify]: Simplify 1/2 into 1/2 7.289 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.289 * [backup-simplify]: Simplify 0 into 0 7.289 * [backup-simplify]: Simplify (* 1 1) into 1 7.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.291 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 7.291 * [backup-simplify]: Simplify (+ 1 0) into 1 7.292 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 7.293 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 7.293 * [backup-simplify]: Simplify -1/4 into -1/4 7.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.295 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 7.295 * [backup-simplify]: Simplify (+ 0 0) into 0 7.296 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 7.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 7.297 * [backup-simplify]: Simplify 0 into 0 7.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.298 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.298 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.299 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 7.300 * [backup-simplify]: Simplify (+ 0 0) into 0 7.300 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 7.301 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 7.301 * [backup-simplify]: Simplify 3/16 into 3/16 7.302 * [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)))) 7.302 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2) 7.302 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 7.302 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 7.302 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 7.302 * [taylor]: Taking taylor expansion of 1/2 in x 7.302 * [backup-simplify]: Simplify 1/2 into 1/2 7.302 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 7.302 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 7.302 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 7.302 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.302 * [taylor]: Taking taylor expansion of 1 in x 7.302 * [backup-simplify]: Simplify 1 into 1 7.302 * [taylor]: Taking taylor expansion of 1 in x 7.302 * [backup-simplify]: Simplify 1 into 1 7.302 * [taylor]: Taking taylor expansion of (* x x) in x 7.302 * [taylor]: Taking taylor expansion of x in x 7.302 * [backup-simplify]: Simplify 0 into 0 7.302 * [backup-simplify]: Simplify 1 into 1 7.302 * [taylor]: Taking taylor expansion of x in x 7.302 * [backup-simplify]: Simplify 0 into 0 7.302 * [backup-simplify]: Simplify 1 into 1 7.302 * [backup-simplify]: Simplify (* 1 1) into 1 7.303 * [backup-simplify]: Simplify (* 0 0) into 0 7.303 * [backup-simplify]: Simplify (+ 1 0) into 1 7.303 * [backup-simplify]: Simplify (sqrt 1) into 1 7.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.304 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.304 * [backup-simplify]: Simplify (+ 0 0) into 0 7.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.305 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.305 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 7.305 * [taylor]: Taking taylor expansion of 1/2 in x 7.305 * [backup-simplify]: Simplify 1/2 into 1/2 7.305 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 7.305 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 7.305 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 7.305 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.305 * [taylor]: Taking taylor expansion of 1 in x 7.305 * [backup-simplify]: Simplify 1 into 1 7.305 * [taylor]: Taking taylor expansion of 1 in x 7.305 * [backup-simplify]: Simplify 1 into 1 7.305 * [taylor]: Taking taylor expansion of (* x x) in x 7.305 * [taylor]: Taking taylor expansion of x in x 7.305 * [backup-simplify]: Simplify 0 into 0 7.305 * [backup-simplify]: Simplify 1 into 1 7.305 * [taylor]: Taking taylor expansion of x in x 7.305 * [backup-simplify]: Simplify 0 into 0 7.305 * [backup-simplify]: Simplify 1 into 1 7.305 * [backup-simplify]: Simplify (* 1 1) into 1 7.306 * [backup-simplify]: Simplify (* 0 0) into 0 7.306 * [backup-simplify]: Simplify (+ 1 0) into 1 7.306 * [backup-simplify]: Simplify (sqrt 1) into 1 7.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.307 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.307 * [backup-simplify]: Simplify (+ 0 0) into 0 7.308 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.308 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.308 * [backup-simplify]: Simplify 1/2 into 1/2 7.309 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.309 * [backup-simplify]: Simplify 0 into 0 7.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.311 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 7.311 * [backup-simplify]: Simplify (+ 0 1) into 1 7.312 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 7.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 7.313 * [backup-simplify]: Simplify -1/4 into -1/4 7.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.315 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 7.316 * [backup-simplify]: Simplify (+ 0 0) into 0 7.317 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 7.318 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 7.318 * [backup-simplify]: Simplify 0 into 0 7.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.321 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.321 * [backup-simplify]: Simplify (+ 0 0) into 0 7.322 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 7.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 7.324 * [backup-simplify]: Simplify 3/16 into 3/16 7.324 * [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))) 7.324 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 7.324 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 7.324 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 7.324 * [taylor]: Taking taylor expansion of 1/2 in x 7.324 * [backup-simplify]: Simplify 1/2 into 1/2 7.324 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 7.324 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 7.324 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 7.324 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.324 * [taylor]: Taking taylor expansion of 1 in x 7.324 * [backup-simplify]: Simplify 1 into 1 7.324 * [taylor]: Taking taylor expansion of 1 in x 7.324 * [backup-simplify]: Simplify 1 into 1 7.324 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.324 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.324 * [taylor]: Taking taylor expansion of x in x 7.324 * [backup-simplify]: Simplify 0 into 0 7.324 * [backup-simplify]: Simplify 1 into 1 7.325 * [backup-simplify]: Simplify (/ 1 1) into 1 7.325 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.325 * [taylor]: Taking taylor expansion of x in x 7.325 * [backup-simplify]: Simplify 0 into 0 7.325 * [backup-simplify]: Simplify 1 into 1 7.325 * [backup-simplify]: Simplify (/ 1 1) into 1 7.325 * [backup-simplify]: Simplify (* 1 1) into 1 7.326 * [backup-simplify]: Simplify (+ 0 1) into 1 7.326 * [backup-simplify]: Simplify (sqrt 1) into 1 7.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.327 * [backup-simplify]: Simplify (+ 0 0) into 0 7.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.328 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.328 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 7.328 * [taylor]: Taking taylor expansion of 1/2 in x 7.328 * [backup-simplify]: Simplify 1/2 into 1/2 7.328 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 7.328 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 7.328 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 7.328 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.328 * [taylor]: Taking taylor expansion of 1 in x 7.328 * [backup-simplify]: Simplify 1 into 1 7.328 * [taylor]: Taking taylor expansion of 1 in x 7.328 * [backup-simplify]: Simplify 1 into 1 7.328 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.328 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.328 * [taylor]: Taking taylor expansion of x in x 7.328 * [backup-simplify]: Simplify 0 into 0 7.328 * [backup-simplify]: Simplify 1 into 1 7.329 * [backup-simplify]: Simplify (/ 1 1) into 1 7.329 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.329 * [taylor]: Taking taylor expansion of x in x 7.329 * [backup-simplify]: Simplify 0 into 0 7.329 * [backup-simplify]: Simplify 1 into 1 7.329 * [backup-simplify]: Simplify (/ 1 1) into 1 7.329 * [backup-simplify]: Simplify (* 1 1) into 1 7.329 * [backup-simplify]: Simplify (+ 0 1) into 1 7.330 * [backup-simplify]: Simplify (sqrt 1) into 1 7.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.331 * [backup-simplify]: Simplify (+ 0 0) into 0 7.332 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.332 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.332 * [backup-simplify]: Simplify 1/2 into 1/2 7.333 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.333 * [backup-simplify]: Simplify 0 into 0 7.333 * [backup-simplify]: Simplify (* 1 1) into 1 7.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.335 * [backup-simplify]: Simplify (+ 1 0) into 1 7.335 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 7.336 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 7.336 * [backup-simplify]: Simplify -1/4 into -1/4 7.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.338 * [backup-simplify]: Simplify (+ 0 0) into 0 7.339 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 7.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 7.340 * [backup-simplify]: Simplify 0 into 0 7.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.343 * [backup-simplify]: Simplify (+ 0 0) into 0 7.343 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 7.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 7.344 * [backup-simplify]: Simplify 3/16 into 3/16 7.345 * [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)))) 7.345 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 7.345 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 7.345 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 7.345 * [taylor]: Taking taylor expansion of 1/2 in x 7.345 * [backup-simplify]: Simplify 1/2 into 1/2 7.345 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 7.345 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 7.345 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 7.345 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.345 * [taylor]: Taking taylor expansion of 1 in x 7.345 * [backup-simplify]: Simplify 1 into 1 7.345 * [taylor]: Taking taylor expansion of 1 in x 7.345 * [backup-simplify]: Simplify 1 into 1 7.345 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.345 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.345 * [taylor]: Taking taylor expansion of -1 in x 7.345 * [backup-simplify]: Simplify -1 into -1 7.345 * [taylor]: Taking taylor expansion of x in x 7.345 * [backup-simplify]: Simplify 0 into 0 7.345 * [backup-simplify]: Simplify 1 into 1 7.345 * [backup-simplify]: Simplify (/ -1 1) into -1 7.345 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.346 * [taylor]: Taking taylor expansion of -1 in x 7.346 * [backup-simplify]: Simplify -1 into -1 7.346 * [taylor]: Taking taylor expansion of x in x 7.346 * [backup-simplify]: Simplify 0 into 0 7.346 * [backup-simplify]: Simplify 1 into 1 7.346 * [backup-simplify]: Simplify (/ -1 1) into -1 7.346 * [backup-simplify]: Simplify (* -1 -1) into 1 7.346 * [backup-simplify]: Simplify (+ 0 1) into 1 7.347 * [backup-simplify]: Simplify (sqrt 1) into 1 7.347 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.348 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.348 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.348 * [backup-simplify]: Simplify (+ 0 0) into 0 7.349 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.349 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.349 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 7.349 * [taylor]: Taking taylor expansion of 1/2 in x 7.349 * [backup-simplify]: Simplify 1/2 into 1/2 7.349 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 7.349 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 7.349 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 7.349 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.349 * [taylor]: Taking taylor expansion of 1 in x 7.349 * [backup-simplify]: Simplify 1 into 1 7.349 * [taylor]: Taking taylor expansion of 1 in x 7.349 * [backup-simplify]: Simplify 1 into 1 7.349 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.349 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.349 * [taylor]: Taking taylor expansion of -1 in x 7.349 * [backup-simplify]: Simplify -1 into -1 7.349 * [taylor]: Taking taylor expansion of x in x 7.349 * [backup-simplify]: Simplify 0 into 0 7.349 * [backup-simplify]: Simplify 1 into 1 7.350 * [backup-simplify]: Simplify (/ -1 1) into -1 7.350 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.350 * [taylor]: Taking taylor expansion of -1 in x 7.350 * [backup-simplify]: Simplify -1 into -1 7.350 * [taylor]: Taking taylor expansion of x in x 7.350 * [backup-simplify]: Simplify 0 into 0 7.350 * [backup-simplify]: Simplify 1 into 1 7.350 * [backup-simplify]: Simplify (/ -1 1) into -1 7.350 * [backup-simplify]: Simplify (* -1 -1) into 1 7.350 * [backup-simplify]: Simplify (+ 0 1) into 1 7.351 * [backup-simplify]: Simplify (sqrt 1) into 1 7.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.352 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.353 * [backup-simplify]: Simplify (+ 0 0) into 0 7.353 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.354 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.354 * [backup-simplify]: Simplify 1/2 into 1/2 7.355 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.355 * [backup-simplify]: Simplify 0 into 0 7.355 * [backup-simplify]: Simplify (* 1 1) into 1 7.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.357 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.358 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 7.359 * [backup-simplify]: Simplify (+ 1 0) into 1 7.360 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 7.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 7.361 * [backup-simplify]: Simplify -1/4 into -1/4 7.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.362 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.365 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 7.365 * [backup-simplify]: Simplify (+ 0 0) into 0 7.366 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 7.368 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 7.368 * [backup-simplify]: Simplify 0 into 0 7.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.378 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 7.379 * [backup-simplify]: Simplify (+ 0 0) into 0 7.381 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 7.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 7.383 * [backup-simplify]: Simplify 3/16 into 3/16 7.383 * [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)))) 7.383 * * * [progress]: simplifying candidates 7.383 * * * * [progress]: [ 1 / 252 ] simplifiying candidate # 7.383 * * * * [progress]: [ 2 / 252 ] simplifiying candidate # 7.383 * * * * [progress]: [ 3 / 252 ] simplifiying candidate # 7.384 * * * * [progress]: [ 4 / 252 ] simplifiying candidate # 7.384 * * * * [progress]: [ 5 / 252 ] simplifiying candidate # 7.384 * * * * [progress]: [ 6 / 252 ] simplifiying candidate # 7.384 * * * * [progress]: [ 7 / 252 ] simplifiying candidate # 7.384 * * * * [progress]: [ 8 / 252 ] simplifiying candidate # 7.384 * * * * [progress]: [ 9 / 252 ] simplifiying candidate # 7.384 * * * * [progress]: [ 10 / 252 ] simplifiying candidate # 7.384 * * * * [progress]: [ 11 / 252 ] simplifiying candidate # 7.384 * * * * [progress]: [ 12 / 252 ] simplifiying candidate # 7.384 * * * * [progress]: [ 13 / 252 ] simplifiying candidate # 7.385 * * * * [progress]: [ 14 / 252 ] simplifiying candidate # 7.385 * * * * [progress]: [ 15 / 252 ] simplifiying candidate # 7.385 * * * * [progress]: [ 16 / 252 ] simplifiying candidate # 7.385 * * * * [progress]: [ 17 / 252 ] simplifiying candidate # 7.385 * * * * [progress]: [ 18 / 252 ] simplifiying candidate # 7.385 * * * * [progress]: [ 19 / 252 ] simplifiying candidate # 7.385 * * * * [progress]: [ 20 / 252 ] simplifiying candidate # 7.385 * * * * [progress]: [ 21 / 252 ] simplifiying candidate # 7.385 * * * * [progress]: [ 22 / 252 ] simplifiying candidate # 7.385 * * * * [progress]: [ 23 / 252 ] simplifiying candidate # 7.386 * * * * [progress]: [ 24 / 252 ] simplifiying candidate #real (real->posit16 (- (* 1 1) (* (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (+ 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ (+ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1)))> 7.386 * * * * [progress]: [ 25 / 252 ] simplifiying candidate # 7.386 * * * * [progress]: [ 26 / 252 ] simplifiying candidate # 7.386 * * * * [progress]: [ 27 / 252 ] simplifiying candidate # 7.386 * * * * [progress]: [ 28 / 252 ] simplifiying candidate # 7.386 * * * * [progress]: [ 29 / 252 ] simplifiying candidate # 7.386 * * * * [progress]: [ 30 / 252 ] simplifiying candidate # 7.386 * * * * [progress]: [ 31 / 252 ] simplifiying candidate # 7.386 * * * * [progress]: [ 32 / 252 ] simplifiying candidate # 7.386 * * * * [progress]: [ 33 / 252 ] simplifiying candidate # 7.386 * * * * [progress]: [ 34 / 252 ] simplifiying candidate # 7.386 * * * * [progress]: [ 35 / 252 ] simplifiying candidate # 7.387 * * * * [progress]: [ 36 / 252 ] simplifiying candidate # 7.387 * * * * [progress]: [ 37 / 252 ] simplifiying candidate # 7.387 * * * * [progress]: [ 38 / 252 ] simplifiying candidate # 7.387 * * * * [progress]: [ 39 / 252 ] simplifiying candidate # 7.387 * * * * [progress]: [ 40 / 252 ] simplifiying candidate # 7.387 * * * * [progress]: [ 41 / 252 ] simplifiying candidate # 7.387 * * * * [progress]: [ 42 / 252 ] simplifiying candidate # 7.387 * * * * [progress]: [ 43 / 252 ] simplifiying candidate # 7.387 * * * * [progress]: [ 44 / 252 ] simplifiying candidate # 7.387 * * * * [progress]: [ 45 / 252 ] simplifiying candidate # 7.387 * * * * [progress]: [ 46 / 252 ] simplifiying candidate # 7.387 * * * * [progress]: [ 47 / 252 ] simplifiying candidate # 7.388 * * * * [progress]: [ 48 / 252 ] simplifiying candidate # 7.388 * * * * [progress]: [ 49 / 252 ] simplifiying candidate # 7.388 * * * * [progress]: [ 50 / 252 ] simplifiying candidate # 7.388 * * * * [progress]: [ 51 / 252 ] simplifiying candidate # 7.388 * * * * [progress]: [ 52 / 252 ] simplifiying candidate # 7.388 * * * * [progress]: [ 53 / 252 ] simplifiying candidate # 7.388 * * * * [progress]: [ 54 / 252 ] simplifiying candidate # 7.388 * * * * [progress]: [ 55 / 252 ] simplifiying candidate # 7.388 * * * * [progress]: [ 56 / 252 ] simplifiying candidate # 7.388 * * * * [progress]: [ 57 / 252 ] simplifiying candidate # 7.388 * * * * [progress]: [ 58 / 252 ] simplifiying candidate # 7.389 * * * * [progress]: [ 59 / 252 ] simplifiying candidate # 7.389 * * * * [progress]: [ 60 / 252 ] simplifiying candidate # 7.389 * * * * [progress]: [ 61 / 252 ] simplifiying candidate # 7.389 * * * * [progress]: [ 62 / 252 ] simplifiying candidate # 7.389 * * * * [progress]: [ 63 / 252 ] simplifiying candidate # 7.389 * * * * [progress]: [ 64 / 252 ] simplifiying candidate # 7.389 * * * * [progress]: [ 65 / 252 ] simplifiying candidate # 7.389 * * * * [progress]: [ 66 / 252 ] simplifiying candidate # 7.389 * * * * [progress]: [ 67 / 252 ] simplifiying candidate # 7.389 * * * * [progress]: [ 68 / 252 ] simplifiying candidate # 7.389 * * * * [progress]: [ 69 / 252 ] simplifiying candidate # 7.390 * * * * [progress]: [ 70 / 252 ] simplifiying candidate # 7.390 * * * * [progress]: [ 71 / 252 ] simplifiying candidate # 7.390 * * * * [progress]: [ 72 / 252 ] simplifiying candidate # 7.390 * * * * [progress]: [ 73 / 252 ] simplifiying candidate # 7.390 * * * * [progress]: [ 74 / 252 ] simplifiying candidate # 7.390 * * * * [progress]: [ 75 / 252 ] simplifiying candidate # 7.390 * * * * [progress]: [ 76 / 252 ] simplifiying candidate # 7.390 * * * * [progress]: [ 77 / 252 ] simplifiying candidate # 7.391 * * * * [progress]: [ 78 / 252 ] simplifiying candidate # 7.391 * * * * [progress]: [ 79 / 252 ] simplifiying candidate # 7.391 * * * * [progress]: [ 80 / 252 ] simplifiying candidate # 7.391 * * * * [progress]: [ 81 / 252 ] simplifiying candidate # 7.391 * * * * [progress]: [ 82 / 252 ] simplifiying candidate # 7.391 * * * * [progress]: [ 83 / 252 ] simplifiying candidate # 7.391 * * * * [progress]: [ 84 / 252 ] simplifiying candidate # 7.392 * * * * [progress]: [ 85 / 252 ] simplifiying candidate # 7.392 * * * * [progress]: [ 86 / 252 ] simplifiying candidate # 7.392 * * * * [progress]: [ 87 / 252 ] simplifiying candidate # 7.392 * * * * [progress]: [ 88 / 252 ] simplifiying candidate # 7.392 * * * * [progress]: [ 89 / 252 ] simplifiying candidate # 7.392 * * * * [progress]: [ 90 / 252 ] simplifiying candidate # 7.392 * * * * [progress]: [ 91 / 252 ] simplifiying candidate # 7.393 * * * * [progress]: [ 92 / 252 ] simplifiying candidate # 7.393 * * * * [progress]: [ 93 / 252 ] simplifiying candidate # 7.393 * * * * [progress]: [ 94 / 252 ] simplifiying candidate # 7.393 * * * * [progress]: [ 95 / 252 ] simplifiying candidate # 7.393 * * * * [progress]: [ 96 / 252 ] simplifiying candidate # 7.393 * * * * [progress]: [ 97 / 252 ] simplifiying candidate # 7.394 * * * * [progress]: [ 98 / 252 ] simplifiying candidate # 7.394 * * * * [progress]: [ 99 / 252 ] simplifiying candidate # 7.394 * * * * [progress]: [ 100 / 252 ] simplifiying candidate # 7.394 * * * * [progress]: [ 101 / 252 ] simplifiying candidate # 7.394 * * * * [progress]: [ 102 / 252 ] simplifiying candidate # 7.394 * * * * [progress]: [ 103 / 252 ] simplifiying candidate # 7.395 * * * * [progress]: [ 104 / 252 ] simplifiying candidate # 7.395 * * 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candidate # 7.398 * * * * [progress]: [ 136 / 252 ] simplifiying candidate # 7.398 * * * * [progress]: [ 137 / 252 ] simplifiying candidate # 7.399 * * * * [progress]: [ 138 / 252 ] simplifiying candidate # 7.399 * * * * [progress]: [ 139 / 252 ] simplifiying candidate # 7.399 * * * * [progress]: [ 140 / 252 ] simplifiying candidate # 7.399 * * * * [progress]: [ 141 / 252 ] simplifiying candidate # 7.399 * * * * [progress]: [ 142 / 252 ] simplifiying candidate # 7.399 * * * * [progress]: [ 143 / 252 ] simplifiying candidate # 7.399 * * * * [progress]: [ 144 / 252 ] simplifiying candidate # 7.399 * * * * [progress]: [ 145 / 252 ] simplifiying candidate # 7.399 * * * * [progress]: [ 146 / 252 ] simplifiying candidate # 7.399 * * * * [progress]: [ 147 / 252 ] simplifiying candidate # 7.400 * * * * [progress]: [ 148 / 252 ] simplifiying candidate # 7.400 * * * * [progress]: [ 149 / 252 ] simplifiying candidate # 7.400 * * * * [progress]: [ 150 / 252 ] simplifiying candidate # 7.400 * * * * [progress]: [ 151 / 252 ] simplifiying candidate # 7.400 * * * * [progress]: [ 152 / 252 ] simplifiying candidate # 7.400 * * * * [progress]: [ 153 / 252 ] simplifiying candidate # 7.400 * * * * [progress]: [ 154 / 252 ] simplifiying candidate # 7.400 * * * * [progress]: [ 155 / 252 ] simplifiying candidate # 7.400 * * * * [progress]: [ 156 / 252 ] simplifiying candidate # 7.400 * * * * [progress]: [ 157 / 252 ] simplifiying candidate # 7.400 * * * * [progress]: [ 158 / 252 ] simplifiying candidate # 7.401 * * * * [progress]: [ 159 / 252 ] simplifiying candidate # 7.401 * * * * [progress]: [ 160 / 252 ] simplifiying candidate # 7.401 * * * * [progress]: [ 161 / 252 ] simplifiying candidate # 7.401 * * * * [progress]: [ 162 / 252 ] simplifiying candidate # 7.401 * * * * [progress]: [ 163 / 252 ] simplifiying candidate # 7.401 * * * * [progress]: [ 164 / 252 ] simplifiying candidate # 7.401 * * * * [progress]: [ 165 / 252 ] simplifiying candidate # 7.401 * * * * [progress]: [ 166 / 252 ] simplifiying candidate # 7.401 * * * * [progress]: [ 167 / 252 ] simplifiying candidate # 7.401 * * * * [progress]: [ 168 / 252 ] simplifiying candidate # 7.402 * * * * [progress]: [ 169 / 252 ] simplifiying candidate # 7.402 * * * * [progress]: [ 170 / 252 ] simplifiying candidate # 7.402 * * * * [progress]: [ 171 / 252 ] simplifiying candidate # 7.402 * * * * [progress]: [ 172 / 252 ] simplifiying candidate # 7.402 * * * * [progress]: [ 173 / 252 ] simplifiying candidate # 7.402 * * * * [progress]: [ 174 / 252 ] simplifiying candidate # 7.402 * * * * [progress]: [ 175 / 252 ] simplifiying candidate # 7.402 * * * * [progress]: [ 176 / 252 ] simplifiying candidate # 7.402 * * * * [progress]: [ 177 / 252 ] simplifiying candidate # 7.403 * * * * [progress]: [ 178 / 252 ] simplifiying candidate # 7.403 * * * * [progress]: [ 179 / 252 ] simplifiying candidate #real (real->posit16 (* (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (+ 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ (+ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1)))> 7.403 * * * * [progress]: [ 180 / 252 ] simplifiying candidate # 7.403 * * * * [progress]: [ 181 / 252 ] simplifiying candidate # 7.403 * * * * [progress]: [ 182 / 252 ] simplifiying candidate # 7.403 * * * * [progress]: [ 183 / 252 ] simplifiying candidate # 7.403 * * * * [progress]: [ 184 / 252 ] simplifiying candidate # 7.403 * * * * [progress]: [ 185 / 252 ] simplifiying candidate # 7.403 * * * * [progress]: [ 186 / 252 ] simplifiying candidate # 7.403 * * * * [progress]: [ 187 / 252 ] simplifiying candidate # 7.403 * * * * [progress]: [ 188 / 252 ] simplifiying candidate # 7.403 * * * * [progress]: [ 189 / 252 ] simplifiying candidate # 7.404 * * * * [progress]: [ 190 / 252 ] simplifiying candidate # 7.404 * * * * [progress]: [ 191 / 252 ] simplifiying candidate # 7.404 * * * * [progress]: [ 192 / 252 ] 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7.405 * * * * [progress]: [ 208 / 252 ] simplifiying candidate # 7.405 * * * * [progress]: [ 209 / 252 ] simplifiying candidate # 7.405 * * * * [progress]: [ 210 / 252 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x))))))) 1)))> 7.405 * * * * [progress]: [ 211 / 252 ] simplifiying candidate # 7.406 * * * * [progress]: [ 212 / 252 ] simplifiying candidate # 7.406 * * * * [progress]: [ 213 / 252 ] simplifiying candidate # 7.406 * * * * [progress]: [ 214 / 252 ] simplifiying candidate # 7.406 * * * * [progress]: [ 215 / 252 ] simplifiying candidate # 7.406 * * * * [progress]: [ 216 / 252 ] simplifiying candidate # 7.406 * * * * [progress]: [ 217 / 252 ] simplifiying candidate # 7.406 * * * * [progress]: [ 218 / 252 ] simplifiying candidate # 7.406 * * * * [progress]: [ 219 / 252 ] simplifiying candidate # 7.406 * * * * [progress]: [ 220 / 252 ] simplifiying candidate # 7.406 * * * * [progress]: [ 221 / 252 ] simplifiying candidate # 7.406 * * * * [progress]: [ 222 / 252 ] 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7.408 * * * * [progress]: [ 238 / 252 ] simplifiying candidate # 7.408 * * * * [progress]: [ 239 / 252 ] simplifiying candidate # 7.408 * * * * [progress]: [ 240 / 252 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x))))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1)))> 7.408 * * * * [progress]: [ 241 / 252 ] simplifiying candidate # 7.408 * * * * [progress]: [ 242 / 252 ] simplifiying candidate # 7.408 * * * * [progress]: [ 243 / 252 ] simplifiying candidate # 7.409 * * * * [progress]: [ 244 / 252 ] simplifiying candidate # 7.409 * * * * [progress]: [ 245 / 252 ] simplifiying candidate # 7.409 * * * * [progress]: [ 246 / 252 ] simplifiying candidate # 7.409 * * * * [progress]: [ 247 / 252 ] simplifiying candidate # 7.409 * * * * [progress]: [ 248 / 252 ] simplifiying candidate # 7.409 * * * * [progress]: [ 249 / 252 ] simplifiying candidate # 7.409 * * * * [progress]: [ 250 / 252 ] simplifiying candidate # 7.409 * * * * [progress]: [ 251 / 252 ] simplifiying candidate # 7.409 * * * * [progress]: [ 252 / 252 ] simplifiying candidate # 7.417 * [simplify]: Simplifying: (fma 1 1 (- (* (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 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)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (expm1 (- (* 1 1) (* (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))))) (log1p (- (* 1 1) (* (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 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)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (exp (* 1 1)) 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(/ 1 (pow x 3)))) (- (* 1/4 (/ 1 (pow x 3))) (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x)))) 7.428 * * [simplify]: iteration 1: (362 enodes) 7.631 * * [simplify]: iteration 2: (1129 enodes) 8.790 * * [simplify]: Extracting #0: cost 133 inf + 0 8.795 * * [simplify]: Extracting #1: cost 1231 inf + 47 8.807 * * [simplify]: Extracting #2: cost 1657 inf + 328 8.820 * * [simplify]: Extracting #3: cost 1656 inf + 1980 8.839 * * [simplify]: Extracting #4: cost 1512 inf + 27986 8.900 * * [simplify]: Extracting #5: cost 1092 inf + 168144 9.085 * * [simplify]: Extracting #6: cost 221 inf + 540960 9.359 * * [simplify]: Extracting #7: cost 0 inf + 630356 9.582 * * [simplify]: Extracting #8: cost 0 inf + 630291 9.752 * [simplify]: Simplified to: (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ (- (* (+ 1/2 (/ 1/2 (hypot 1 x))) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (* (+ 1/2 (/ 1/2 (hypot 1 x))) 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(/ 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 3/4 (* x x) (fma (* (* (* x x) (* x x)) (* x x)) 49/64 (* -3/4 (* (* x x) (* x x))))) (- (- 7/8 (/ 3/8 x)) (/ 3/8 (* x x))) (+ 7/8 (- (/ 3/8 x) (/ 3/8 (* x x)))) (fma (* (* x x) (* x x)) 3/4 (- 1 (* (* x x) 3/4))) (+ (+ (/ 3/8 (* x x)) 1/8) (/ 3/8 x)) (+ (- 1/8 (/ 3/8 x)) (/ 3/8 (* x x))) (+ (fma (* (* x x) (* x x)) 3/16 1/2) (* -1/4 (* x x))) (- (+ (/ 1/2 x) (/ 3/16 (pow x 5))) (/ 1/4 (* (* x x) x))) (- (- (/ 1/4 (* (* x x) x)) (/ 3/16 (pow x 5))) (/ 1/2 x)) (+ (fma (* (* x x) (* x x)) 3/16 1/2) (* -1/4 (* x x))) (- (+ (/ 1/2 x) (/ 3/16 (pow x 5))) (/ 1/4 (* (* x x) x))) (- (- (/ 1/4 (* (* x x) x)) (/ 3/16 (pow x 5))) (/ 1/2 x)) 9.838 * * * [progress]: adding candidates to table 13.442 * * [progress]: iteration 4 / 4 13.442 * * * [progress]: picking best candidate 13.474 * * * * [pick]: Picked # 13.474 * * * [progress]: localizing error 13.555 * * * [progress]: generating rewritten candidates 13.555 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 13.779 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 13.900 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 2) 13.907 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2) 13.918 * * * [progress]: generating series expansions 13.919 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 13.920 * [backup-simplify]: Simplify (- (* 1 1) (* (* (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1/2 (/ 1/2 (hypot 1 x))))) into (- 7/8 (+ (* 1/8 (/ 1 (pow (hypot 1 x) 3))) (+ (* 3/8 (/ 1 (pow (hypot 1 x) 2))) (* 3/8 (/ 1 (hypot 1 x)))))) 13.920 * [approximate]: Taking taylor expansion of (- 7/8 (+ (* 1/8 (/ 1 (pow (hypot 1 x) 3))) (+ (* 3/8 (/ 1 (pow (hypot 1 x) 2))) (* 3/8 (/ 1 (hypot 1 x)))))) in (x) around 0 13.920 * [taylor]: Taking taylor expansion of (- 7/8 (+ (* 1/8 (/ 1 (pow (hypot 1 x) 3))) (+ (* 3/8 (/ 1 (pow (hypot 1 x) 2))) (* 3/8 (/ 1 (hypot 1 x)))))) in x 13.920 * [taylor]: Taking taylor expansion of 7/8 in x 13.920 * [backup-simplify]: Simplify 7/8 into 7/8 13.920 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (pow (hypot 1 x) 3))) (+ (* 3/8 (/ 1 (pow (hypot 1 x) 2))) (* 3/8 (/ 1 (hypot 1 x))))) in x 13.920 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 x) 3))) in x 13.920 * [taylor]: Taking taylor expansion of 1/8 in x 13.920 * [backup-simplify]: Simplify 1/8 into 1/8 13.920 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 x) 3)) in x 13.920 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 3) in x 13.920 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 13.920 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 13.921 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 13.921 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.921 * [taylor]: Taking taylor expansion of 1 in x 13.921 * [backup-simplify]: Simplify 1 into 1 13.921 * [taylor]: Taking taylor expansion of 1 in x 13.921 * [backup-simplify]: Simplify 1 into 1 13.921 * [taylor]: Taking taylor expansion of (* x x) in x 13.921 * [taylor]: Taking taylor expansion of x in x 13.921 * [backup-simplify]: Simplify 0 into 0 13.921 * [backup-simplify]: Simplify 1 into 1 13.921 * [taylor]: Taking taylor expansion of x in x 13.921 * [backup-simplify]: Simplify 0 into 0 13.921 * [backup-simplify]: Simplify 1 into 1 13.921 * [backup-simplify]: Simplify (* 1 1) into 1 13.922 * [backup-simplify]: Simplify (* 0 0) into 0 13.922 * [backup-simplify]: Simplify (+ 1 0) into 1 13.923 * [backup-simplify]: Simplify (sqrt 1) into 1 13.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.924 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 13.924 * [backup-simplify]: Simplify (+ 0 0) into 0 13.925 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.925 * [backup-simplify]: Simplify (* 1 1) into 1 13.926 * [backup-simplify]: Simplify (* 1 1) into 1 13.926 * [backup-simplify]: Simplify (/ 1 1) into 1 13.926 * [taylor]: Taking taylor expansion of (+ (* 3/8 (/ 1 (pow (hypot 1 x) 2))) (* 3/8 (/ 1 (hypot 1 x)))) in x 13.926 * [taylor]: Taking taylor expansion of (* 3/8 (/ 1 (pow (hypot 1 x) 2))) in x 13.926 * [taylor]: Taking taylor expansion of 3/8 in x 13.926 * [backup-simplify]: Simplify 3/8 into 3/8 13.926 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 x) 2)) in x 13.926 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 2) in x 13.926 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 13.926 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 13.926 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 13.926 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.926 * [taylor]: Taking taylor expansion of 1 in x 13.926 * [backup-simplify]: Simplify 1 into 1 13.926 * [taylor]: Taking taylor expansion of 1 in x 13.926 * [backup-simplify]: Simplify 1 into 1 13.927 * [taylor]: Taking taylor expansion of (* x x) in x 13.927 * [taylor]: Taking taylor expansion of x in x 13.927 * [backup-simplify]: Simplify 0 into 0 13.927 * [backup-simplify]: Simplify 1 into 1 13.927 * [taylor]: Taking taylor expansion of x in x 13.927 * [backup-simplify]: Simplify 0 into 0 13.927 * [backup-simplify]: Simplify 1 into 1 13.927 * [backup-simplify]: Simplify (* 1 1) into 1 13.927 * [backup-simplify]: Simplify (* 0 0) into 0 13.928 * [backup-simplify]: Simplify (+ 1 0) into 1 13.928 * [backup-simplify]: Simplify (sqrt 1) into 1 13.929 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.929 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 13.930 * [backup-simplify]: Simplify (+ 0 0) into 0 13.930 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.931 * [backup-simplify]: Simplify (* 1 1) into 1 13.931 * [backup-simplify]: Simplify (/ 1 1) into 1 13.931 * [taylor]: Taking taylor expansion of (* 3/8 (/ 1 (hypot 1 x))) in x 13.931 * [taylor]: Taking taylor expansion of 3/8 in x 13.931 * [backup-simplify]: Simplify 3/8 into 3/8 13.931 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 13.931 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 13.931 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 13.931 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 13.931 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.932 * [taylor]: Taking taylor expansion of 1 in x 13.932 * [backup-simplify]: Simplify 1 into 1 13.932 * [taylor]: Taking taylor expansion of 1 in x 13.932 * [backup-simplify]: Simplify 1 into 1 13.932 * [taylor]: Taking taylor expansion of (* x x) in x 13.932 * [taylor]: Taking taylor expansion of x in x 13.932 * [backup-simplify]: Simplify 0 into 0 13.932 * [backup-simplify]: Simplify 1 into 1 13.932 * [taylor]: Taking taylor expansion of x in x 13.932 * [backup-simplify]: Simplify 0 into 0 13.932 * [backup-simplify]: Simplify 1 into 1 13.932 * [backup-simplify]: Simplify (* 1 1) into 1 13.932 * [backup-simplify]: Simplify (* 0 0) into 0 13.933 * [backup-simplify]: Simplify (+ 1 0) into 1 13.933 * [backup-simplify]: Simplify (sqrt 1) into 1 13.934 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.935 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 13.935 * [backup-simplify]: Simplify (+ 0 0) into 0 13.936 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.936 * [backup-simplify]: Simplify (/ 1 1) into 1 13.936 * [taylor]: Taking taylor expansion of (- 7/8 (+ (* 1/8 (/ 1 (pow (hypot 1 x) 3))) (+ (* 3/8 (/ 1 (pow (hypot 1 x) 2))) (* 3/8 (/ 1 (hypot 1 x)))))) in x 13.936 * [taylor]: Taking taylor expansion of 7/8 in x 13.936 * [backup-simplify]: Simplify 7/8 into 7/8 13.936 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (pow (hypot 1 x) 3))) (+ (* 3/8 (/ 1 (pow (hypot 1 x) 2))) (* 3/8 (/ 1 (hypot 1 x))))) in x 13.936 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 x) 3))) in x 13.936 * [taylor]: Taking taylor expansion of 1/8 in x 13.936 * [backup-simplify]: Simplify 1/8 into 1/8 13.936 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 x) 3)) in x 13.936 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 3) in x 13.936 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 13.937 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 13.937 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 13.937 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.937 * [taylor]: Taking taylor expansion of 1 in x 13.937 * [backup-simplify]: Simplify 1 into 1 13.937 * [taylor]: Taking taylor expansion of 1 in x 13.937 * [backup-simplify]: Simplify 1 into 1 13.937 * [taylor]: Taking taylor expansion of (* x x) in x 13.937 * [taylor]: Taking taylor expansion of x in x 13.937 * [backup-simplify]: Simplify 0 into 0 13.937 * [backup-simplify]: Simplify 1 into 1 13.937 * [taylor]: Taking taylor expansion of x in x 13.937 * [backup-simplify]: Simplify 0 into 0 13.937 * [backup-simplify]: Simplify 1 into 1 13.937 * [backup-simplify]: Simplify (* 1 1) into 1 13.938 * [backup-simplify]: Simplify (* 0 0) into 0 13.938 * [backup-simplify]: Simplify (+ 1 0) into 1 13.938 * [backup-simplify]: Simplify (sqrt 1) into 1 13.939 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.940 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 13.940 * [backup-simplify]: Simplify (+ 0 0) into 0 13.941 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.941 * [backup-simplify]: Simplify (* 1 1) into 1 13.942 * [backup-simplify]: Simplify (* 1 1) into 1 13.942 * [backup-simplify]: Simplify (/ 1 1) into 1 13.942 * [taylor]: Taking taylor expansion of (+ (* 3/8 (/ 1 (pow (hypot 1 x) 2))) (* 3/8 (/ 1 (hypot 1 x)))) in x 13.942 * [taylor]: Taking taylor expansion of (* 3/8 (/ 1 (pow (hypot 1 x) 2))) in x 13.942 * [taylor]: Taking taylor expansion of 3/8 in x 13.942 * [backup-simplify]: Simplify 3/8 into 3/8 13.942 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 x) 2)) in x 13.942 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 2) in x 13.942 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 13.942 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 13.942 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 13.942 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.942 * [taylor]: Taking taylor expansion of 1 in x 13.942 * [backup-simplify]: Simplify 1 into 1 13.942 * [taylor]: Taking taylor expansion of 1 in x 13.942 * [backup-simplify]: Simplify 1 into 1 13.942 * [taylor]: Taking taylor expansion of (* x x) in x 13.942 * [taylor]: Taking taylor expansion of x in x 13.943 * [backup-simplify]: Simplify 0 into 0 13.943 * [backup-simplify]: Simplify 1 into 1 13.943 * [taylor]: Taking taylor expansion of x in x 13.943 * [backup-simplify]: Simplify 0 into 0 13.943 * [backup-simplify]: Simplify 1 into 1 13.943 * [backup-simplify]: Simplify (* 1 1) into 1 13.943 * [backup-simplify]: Simplify (* 0 0) into 0 13.944 * [backup-simplify]: Simplify (+ 1 0) into 1 13.944 * [backup-simplify]: Simplify (sqrt 1) into 1 13.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.945 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 13.946 * [backup-simplify]: Simplify (+ 0 0) into 0 13.947 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.947 * [backup-simplify]: Simplify (* 1 1) into 1 13.947 * [backup-simplify]: Simplify (/ 1 1) into 1 13.947 * [taylor]: Taking taylor expansion of (* 3/8 (/ 1 (hypot 1 x))) in x 13.947 * [taylor]: Taking taylor expansion of 3/8 in x 13.947 * [backup-simplify]: Simplify 3/8 into 3/8 13.947 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 13.947 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 13.948 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 13.948 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 13.948 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.948 * [taylor]: Taking taylor expansion of 1 in x 13.948 * [backup-simplify]: Simplify 1 into 1 13.948 * [taylor]: Taking taylor expansion of 1 in x 13.948 * [backup-simplify]: Simplify 1 into 1 13.948 * [taylor]: Taking taylor expansion of (* x x) in x 13.948 * [taylor]: Taking taylor expansion of x in x 13.948 * [backup-simplify]: Simplify 0 into 0 13.948 * [backup-simplify]: Simplify 1 into 1 13.948 * [taylor]: Taking taylor expansion of x in x 13.948 * [backup-simplify]: Simplify 0 into 0 13.948 * [backup-simplify]: Simplify 1 into 1 13.948 * [backup-simplify]: Simplify (* 1 1) into 1 13.949 * [backup-simplify]: Simplify (* 0 0) into 0 13.949 * [backup-simplify]: Simplify (+ 1 0) into 1 13.950 * [backup-simplify]: Simplify (sqrt 1) into 1 13.950 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.951 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 13.951 * [backup-simplify]: Simplify (+ 0 0) into 0 13.952 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.952 * [backup-simplify]: Simplify (/ 1 1) into 1 13.953 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 13.953 * [backup-simplify]: Simplify (* 3/8 1) into 3/8 13.954 * [backup-simplify]: Simplify (* 3/8 1) into 3/8 13.954 * [backup-simplify]: Simplify (+ 3/8 3/8) into 3/4 13.955 * [backup-simplify]: Simplify (+ 1/8 3/4) into 7/8 13.955 * [backup-simplify]: Simplify (- 7/8) into -7/8 13.956 * [backup-simplify]: Simplify (+ 7/8 -7/8) into 0 13.956 * [backup-simplify]: Simplify 0 into 0 13.956 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.957 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.959 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0 13.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.961 * [backup-simplify]: Simplify (+ (* 3/8 0) (* 0 1)) into 0 13.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.962 * [backup-simplify]: Simplify (+ (* 3/8 0) (* 0 1)) into 0 13.963 * [backup-simplify]: Simplify (+ 0 0) into 0 13.963 * [backup-simplify]: Simplify (+ 0 0) into 0 13.964 * [backup-simplify]: Simplify (- 0) into 0 13.964 * [backup-simplify]: Simplify (+ 0 0) into 0 13.964 * [backup-simplify]: Simplify 0 into 0 13.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.966 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 13.966 * [backup-simplify]: Simplify (+ 0 1) into 1 13.967 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 13.968 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 13.969 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 13.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 3/2 1)) (* 0 (/ 0 1)))) into -3/2 13.971 * [backup-simplify]: Simplify (+ (* 1/8 -3/2) (+ (* 0 0) (* 0 1))) into -3/16 13.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.973 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 13.974 * [backup-simplify]: Simplify (+ 0 1) into 1 13.975 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 13.976 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 13.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1 1)) (* 0 (/ 0 1)))) into -1 13.978 * [backup-simplify]: Simplify (+ (* 3/8 -1) (+ (* 0 0) (* 0 1))) into -3/8 13.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.980 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 13.981 * [backup-simplify]: Simplify (+ 0 1) into 1 13.982 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 13.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 13.984 * [backup-simplify]: Simplify (+ (* 3/8 -1/2) (+ (* 0 0) (* 0 1))) into -3/16 13.984 * [backup-simplify]: Simplify (+ -3/8 -3/16) into -9/16 13.985 * [backup-simplify]: Simplify (+ -3/16 -9/16) into -3/4 13.985 * [backup-simplify]: Simplify (- -3/4) into 3/4 13.986 * [backup-simplify]: Simplify (+ 0 3/4) into 3/4 13.986 * [backup-simplify]: Simplify 3/4 into 3/4 13.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.988 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 13.988 * [backup-simplify]: Simplify (+ 0 0) into 0 13.989 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 13.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 13.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (+ (* 1/2 0) (* 0 1)))) into 0 14.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 3/2 1)) (* -3/2 (/ 0 1)))) into 0 14.002 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1)))) into 0 14.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.005 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 14.005 * [backup-simplify]: Simplify (+ 0 0) into 0 14.007 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 14.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 14.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1 1)) (* -1 (/ 0 1)))) into 0 14.011 * [backup-simplify]: Simplify (+ (* 3/8 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1)))) into 0 14.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.013 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 14.014 * [backup-simplify]: Simplify (+ 0 0) into 0 14.015 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 14.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 14.018 * [backup-simplify]: Simplify (+ (* 3/8 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 14.018 * [backup-simplify]: Simplify (+ 0 0) into 0 14.019 * [backup-simplify]: Simplify (+ 0 0) into 0 14.019 * [backup-simplify]: Simplify (- 0) into 0 14.019 * [backup-simplify]: Simplify (+ 0 0) into 0 14.019 * [backup-simplify]: Simplify 0 into 0 14.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.022 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 14.022 * [backup-simplify]: Simplify (+ 0 0) into 0 14.024 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 14.025 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 14.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 1) (+ (* 0 0) (* -1/8 1))))) into 3/8 14.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 3/8 1)) (* 0 (/ 0 1)) (* -3/2 (/ 3/2 1)) (* 0 (/ 0 1)))) into 15/8 14.030 * [backup-simplify]: Simplify (+ (* 1/8 15/8) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1))))) into 15/64 14.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.033 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 14.033 * [backup-simplify]: Simplify (+ 0 0) into 0 14.035 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 14.036 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 14.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1 (/ 1 1)) (* 0 (/ 0 1)))) into 1 14.040 * [backup-simplify]: Simplify (+ (* 3/8 1) (+ (* 0 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1))))) into 3/8 14.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.042 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 14.042 * [backup-simplify]: Simplify (+ 0 0) into 0 14.044 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 14.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 14.047 * [backup-simplify]: Simplify (+ (* 3/8 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 9/64 14.048 * [backup-simplify]: Simplify (+ 3/8 9/64) into 33/64 14.048 * [backup-simplify]: Simplify (+ 15/64 33/64) into 3/4 14.049 * [backup-simplify]: Simplify (- 3/4) into -3/4 14.049 * [backup-simplify]: Simplify (+ 0 -3/4) into -3/4 14.049 * [backup-simplify]: Simplify -3/4 into -3/4 14.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 14.052 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 14.052 * [backup-simplify]: Simplify (+ 0 0) into 0 14.054 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 14.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* 1/2 0) (+ (* 0 1/2) (+ (* -1/8 0) (* 0 1)))))) into 0 14.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 0) (+ (* 0 1) (+ (* -1/8 0) (* 0 1)))))) into 0 14.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 3/8 1)) (* -3/2 (/ 0 1)) (* 0 (/ 3/2 1)) (* 15/8 (/ 0 1)))) into 0 14.062 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 15/8) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1)))))) into 0 14.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 14.065 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 14.066 * [backup-simplify]: Simplify (+ 0 0) into 0 14.068 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 14.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* 1/2 0) (+ (* 0 1/2) (+ (* -1/8 0) (* 0 1)))))) into 0 14.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1 (/ 0 1)) (* 0 (/ 1 1)) (* 1 (/ 0 1)))) into 0 14.073 * [backup-simplify]: Simplify (+ (* 3/8 0) (+ (* 0 1) (+ (* 0 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1)))))) into 0 14.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 14.076 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 14.076 * [backup-simplify]: Simplify (+ 0 0) into 0 14.078 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 14.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 14.082 * [backup-simplify]: Simplify (+ (* 3/8 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 14.083 * [backup-simplify]: Simplify (+ 0 0) into 0 14.083 * [backup-simplify]: Simplify (+ 0 0) into 0 14.083 * [backup-simplify]: Simplify (- 0) into 0 14.084 * [backup-simplify]: Simplify (+ 0 0) into 0 14.084 * [backup-simplify]: Simplify 0 into 0 14.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 14.087 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 14.087 * [backup-simplify]: Simplify (+ 0 0) into 0 14.089 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 14.092 * [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 14.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* -1/8 1) (+ (* 0 0) (* 1/16 1))))))) into -1/16 14.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/16 1)) (* 0 (/ 0 1)) (* -3/2 (/ 3/8 1)) (* 0 (/ 0 1)) (* 15/8 (/ 3/2 1)) (* 0 (/ 0 1)))) into -35/16 14.100 * [backup-simplify]: Simplify (+ (* 1/8 -35/16) (+ (* 0 0) (+ (* 0 15/8) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1))))))) into -35/128 14.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 14.103 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 14.103 * [backup-simplify]: Simplify (+ 0 0) into 0 14.105 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 14.108 * [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 14.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 1 (/ 1 1)) (* 0 (/ 0 1)))) into -1 14.111 * [backup-simplify]: Simplify (+ (* 3/8 -1) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1))))))) into -3/8 14.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 14.115 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 14.115 * [backup-simplify]: Simplify (+ 0 0) into 0 14.118 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 14.120 * [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 14.123 * [backup-simplify]: Simplify (+ (* 3/8 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -15/128 14.123 * [backup-simplify]: Simplify (+ -3/8 -15/128) into -63/128 14.124 * [backup-simplify]: Simplify (+ -35/128 -63/128) into -49/64 14.124 * [backup-simplify]: Simplify (- -49/64) into 49/64 14.125 * [backup-simplify]: Simplify (+ 0 49/64) into 49/64 14.125 * [backup-simplify]: Simplify 49/64 into 49/64 14.125 * [backup-simplify]: Simplify (+ (* 49/64 (pow x 6)) (+ (* -3/4 (pow x 4)) (* 3/4 (pow x 2)))) into (- (+ (* 3/4 (pow x 2)) (* 49/64 (pow x 6))) (* 3/4 (pow x 4))) 14.126 * [backup-simplify]: Simplify (- (* 1 1) (* (* (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x)))))) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x)))))) into (- 7/8 (+ (* 3/8 (/ 1 (hypot 1 (/ 1 x)))) (+ (* 3/8 (/ 1 (pow (hypot 1 (/ 1 x)) 2))) (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))))) 14.126 * [approximate]: Taking taylor expansion of (- 7/8 (+ (* 3/8 (/ 1 (hypot 1 (/ 1 x)))) (+ (* 3/8 (/ 1 (pow (hypot 1 (/ 1 x)) 2))) (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))))) in (x) around 0 14.126 * [taylor]: Taking taylor expansion of (- 7/8 (+ (* 3/8 (/ 1 (hypot 1 (/ 1 x)))) (+ (* 3/8 (/ 1 (pow (hypot 1 (/ 1 x)) 2))) (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))))) in x 14.127 * [taylor]: Taking taylor expansion of 7/8 in x 14.127 * [backup-simplify]: Simplify 7/8 into 7/8 14.127 * [taylor]: Taking taylor expansion of (+ (* 3/8 (/ 1 (hypot 1 (/ 1 x)))) (+ (* 3/8 (/ 1 (pow (hypot 1 (/ 1 x)) 2))) (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3))))) in x 14.127 * [taylor]: Taking taylor expansion of (* 3/8 (/ 1 (hypot 1 (/ 1 x)))) in x 14.127 * [taylor]: Taking taylor expansion of 3/8 in x 14.127 * [backup-simplify]: Simplify 3/8 into 3/8 14.127 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 14.127 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 14.127 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 14.127 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 14.127 * [taylor]: Taking taylor expansion of (* 1 1) in x 14.127 * [taylor]: Taking taylor expansion of 1 in x 14.127 * [backup-simplify]: Simplify 1 into 1 14.127 * [taylor]: Taking taylor expansion of 1 in x 14.127 * [backup-simplify]: Simplify 1 into 1 14.127 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 14.127 * [taylor]: Taking taylor expansion of (/ 1 x) in x 14.127 * [taylor]: Taking taylor expansion of x in x 14.127 * [backup-simplify]: Simplify 0 into 0 14.127 * [backup-simplify]: Simplify 1 into 1 14.128 * [backup-simplify]: Simplify (/ 1 1) into 1 14.128 * [taylor]: Taking taylor expansion of (/ 1 x) in x 14.128 * [taylor]: Taking taylor expansion of x in x 14.128 * [backup-simplify]: Simplify 0 into 0 14.128 * [backup-simplify]: Simplify 1 into 1 14.128 * [backup-simplify]: Simplify (/ 1 1) into 1 14.129 * [backup-simplify]: Simplify (* 1 1) into 1 14.129 * [backup-simplify]: Simplify (+ 0 1) into 1 14.130 * [backup-simplify]: Simplify (sqrt 1) into 1 14.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.132 * [backup-simplify]: Simplify (+ 0 0) into 0 14.133 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.134 * [backup-simplify]: Simplify (/ 1 1) into 1 14.134 * [taylor]: Taking taylor expansion of (+ (* 3/8 (/ 1 (pow (hypot 1 (/ 1 x)) 2))) (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))) in x 14.134 * [taylor]: Taking taylor expansion of (* 3/8 (/ 1 (pow (hypot 1 (/ 1 x)) 2))) in x 14.134 * [taylor]: Taking taylor expansion of 3/8 in x 14.134 * [backup-simplify]: Simplify 3/8 into 3/8 14.134 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ 1 x)) 2)) in x 14.134 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 2) in x 14.134 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 14.134 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 14.134 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 14.134 * [taylor]: Taking taylor expansion of (* 1 1) in x 14.134 * [taylor]: Taking taylor expansion of 1 in x 14.134 * [backup-simplify]: Simplify 1 into 1 14.134 * [taylor]: Taking taylor expansion of 1 in x 14.134 * [backup-simplify]: Simplify 1 into 1 14.134 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 14.134 * [taylor]: Taking taylor expansion of (/ 1 x) in x 14.134 * [taylor]: Taking taylor expansion of x in x 14.134 * [backup-simplify]: Simplify 0 into 0 14.134 * [backup-simplify]: Simplify 1 into 1 14.135 * [backup-simplify]: Simplify (/ 1 1) into 1 14.135 * [taylor]: Taking taylor expansion of (/ 1 x) in x 14.135 * [taylor]: Taking taylor expansion of x in x 14.135 * [backup-simplify]: Simplify 0 into 0 14.135 * [backup-simplify]: Simplify 1 into 1 14.135 * [backup-simplify]: Simplify (/ 1 1) into 1 14.136 * [backup-simplify]: Simplify (* 1 1) into 1 14.136 * [backup-simplify]: Simplify (+ 0 1) into 1 14.136 * [backup-simplify]: Simplify (sqrt 1) into 1 14.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.140 * [backup-simplify]: Simplify (+ 0 0) into 0 14.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.141 * [backup-simplify]: Simplify (* 1 1) into 1 14.141 * [backup-simplify]: Simplify (/ 1 1) into 1 14.141 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3))) in x 14.141 * [taylor]: Taking taylor expansion of 1/8 in x 14.142 * [backup-simplify]: Simplify 1/8 into 1/8 14.142 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ 1 x)) 3)) in x 14.142 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 3) in x 14.142 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 14.142 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 14.142 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 14.142 * [taylor]: Taking taylor expansion of (* 1 1) in x 14.142 * [taylor]: Taking taylor expansion of 1 in x 14.142 * [backup-simplify]: Simplify 1 into 1 14.142 * [taylor]: Taking taylor expansion of 1 in x 14.142 * [backup-simplify]: Simplify 1 into 1 14.142 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 14.142 * [taylor]: Taking taylor expansion of (/ 1 x) in x 14.142 * [taylor]: Taking taylor expansion of x in x 14.142 * [backup-simplify]: Simplify 0 into 0 14.142 * [backup-simplify]: Simplify 1 into 1 14.142 * [backup-simplify]: Simplify (/ 1 1) into 1 14.142 * [taylor]: Taking taylor expansion of (/ 1 x) in x 14.143 * [taylor]: Taking taylor expansion of x in x 14.143 * [backup-simplify]: Simplify 0 into 0 14.143 * [backup-simplify]: Simplify 1 into 1 14.143 * [backup-simplify]: Simplify (/ 1 1) into 1 14.143 * [backup-simplify]: Simplify (* 1 1) into 1 14.144 * [backup-simplify]: Simplify (+ 0 1) into 1 14.144 * [backup-simplify]: Simplify (sqrt 1) into 1 14.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.147 * [backup-simplify]: Simplify (+ 0 0) into 0 14.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.155 * [backup-simplify]: Simplify (* 1 1) into 1 14.155 * [backup-simplify]: Simplify (* 1 1) into 1 14.156 * [backup-simplify]: Simplify (/ 1 1) into 1 14.156 * [taylor]: Taking taylor expansion of (- 7/8 (+ (* 3/8 (/ 1 (hypot 1 (/ 1 x)))) (+ (* 3/8 (/ 1 (pow (hypot 1 (/ 1 x)) 2))) (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))))) in x 14.156 * [taylor]: Taking taylor expansion of 7/8 in x 14.156 * [backup-simplify]: Simplify 7/8 into 7/8 14.156 * [taylor]: Taking taylor expansion of (+ (* 3/8 (/ 1 (hypot 1 (/ 1 x)))) (+ (* 3/8 (/ 1 (pow (hypot 1 (/ 1 x)) 2))) (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3))))) in x 14.156 * [taylor]: Taking taylor expansion of (* 3/8 (/ 1 (hypot 1 (/ 1 x)))) in x 14.156 * [taylor]: Taking taylor expansion of 3/8 in x 14.156 * [backup-simplify]: Simplify 3/8 into 3/8 14.156 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 14.156 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 14.156 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 14.156 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 14.156 * [taylor]: Taking taylor expansion of (* 1 1) in x 14.156 * [taylor]: Taking taylor expansion of 1 in x 14.156 * [backup-simplify]: Simplify 1 into 1 14.157 * [taylor]: Taking taylor expansion of 1 in x 14.157 * [backup-simplify]: Simplify 1 into 1 14.157 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 14.157 * [taylor]: Taking taylor expansion of (/ 1 x) in x 14.157 * [taylor]: Taking taylor expansion of x in x 14.157 * [backup-simplify]: Simplify 0 into 0 14.157 * [backup-simplify]: Simplify 1 into 1 14.157 * [backup-simplify]: Simplify (/ 1 1) into 1 14.157 * [taylor]: Taking taylor expansion of (/ 1 x) in x 14.157 * [taylor]: Taking taylor expansion of x in x 14.157 * [backup-simplify]: Simplify 0 into 0 14.157 * [backup-simplify]: Simplify 1 into 1 14.158 * [backup-simplify]: Simplify (/ 1 1) into 1 14.158 * [backup-simplify]: Simplify (* 1 1) into 1 14.159 * [backup-simplify]: Simplify (+ 0 1) into 1 14.159 * [backup-simplify]: Simplify (sqrt 1) into 1 14.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.162 * [backup-simplify]: Simplify (+ 0 0) into 0 14.162 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.163 * [backup-simplify]: Simplify (/ 1 1) into 1 14.163 * [taylor]: Taking taylor expansion of (+ (* 3/8 (/ 1 (pow (hypot 1 (/ 1 x)) 2))) (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))) in x 14.163 * [taylor]: Taking taylor expansion of (* 3/8 (/ 1 (pow (hypot 1 (/ 1 x)) 2))) in x 14.163 * [taylor]: Taking taylor expansion of 3/8 in x 14.163 * [backup-simplify]: Simplify 3/8 into 3/8 14.163 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ 1 x)) 2)) in x 14.163 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 2) in x 14.163 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 14.163 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 14.163 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 14.163 * [taylor]: Taking taylor expansion of (* 1 1) in x 14.163 * [taylor]: Taking taylor expansion of 1 in x 14.163 * [backup-simplify]: Simplify 1 into 1 14.163 * [taylor]: Taking taylor expansion of 1 in x 14.163 * [backup-simplify]: Simplify 1 into 1 14.163 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 14.163 * [taylor]: Taking taylor expansion of (/ 1 x) in x 14.163 * [taylor]: Taking taylor expansion of x in x 14.163 * [backup-simplify]: Simplify 0 into 0 14.163 * [backup-simplify]: Simplify 1 into 1 14.164 * [backup-simplify]: Simplify (/ 1 1) into 1 14.164 * [taylor]: Taking taylor expansion of (/ 1 x) in x 14.164 * [taylor]: Taking taylor expansion of x in x 14.164 * [backup-simplify]: Simplify 0 into 0 14.164 * [backup-simplify]: Simplify 1 into 1 14.164 * [backup-simplify]: Simplify (/ 1 1) into 1 14.165 * [backup-simplify]: Simplify (* 1 1) into 1 14.165 * [backup-simplify]: Simplify (+ 0 1) into 1 14.165 * [backup-simplify]: Simplify (sqrt 1) into 1 14.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.168 * [backup-simplify]: Simplify (+ 0 0) into 0 14.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.169 * [backup-simplify]: Simplify (* 1 1) into 1 14.169 * [backup-simplify]: Simplify (/ 1 1) into 1 14.169 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3))) in x 14.169 * [taylor]: Taking taylor expansion of 1/8 in x 14.170 * [backup-simplify]: Simplify 1/8 into 1/8 14.170 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ 1 x)) 3)) in x 14.170 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 3) in x 14.170 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 14.170 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 14.170 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 14.170 * [taylor]: Taking taylor expansion of (* 1 1) in x 14.170 * [taylor]: Taking taylor expansion of 1 in x 14.170 * [backup-simplify]: Simplify 1 into 1 14.170 * [taylor]: Taking taylor expansion of 1 in x 14.170 * [backup-simplify]: Simplify 1 into 1 14.170 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 14.170 * [taylor]: Taking taylor expansion of (/ 1 x) in x 14.170 * [taylor]: Taking taylor expansion of x in x 14.170 * [backup-simplify]: Simplify 0 into 0 14.170 * [backup-simplify]: Simplify 1 into 1 14.170 * [backup-simplify]: Simplify (/ 1 1) into 1 14.170 * [taylor]: Taking taylor expansion of (/ 1 x) in x 14.170 * [taylor]: Taking taylor expansion of x in x 14.170 * [backup-simplify]: Simplify 0 into 0 14.170 * [backup-simplify]: Simplify 1 into 1 14.171 * [backup-simplify]: Simplify (/ 1 1) into 1 14.171 * [backup-simplify]: Simplify (* 1 1) into 1 14.171 * [backup-simplify]: Simplify (+ 0 1) into 1 14.172 * [backup-simplify]: Simplify (sqrt 1) into 1 14.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.174 * [backup-simplify]: Simplify (+ 0 0) into 0 14.175 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.175 * [backup-simplify]: Simplify (* 1 1) into 1 14.176 * [backup-simplify]: Simplify (* 1 1) into 1 14.176 * [backup-simplify]: Simplify (/ 1 1) into 1 14.177 * [backup-simplify]: Simplify (+ 7/8 0) into 7/8 14.177 * [backup-simplify]: Simplify 7/8 into 7/8 14.177 * [backup-simplify]: Simplify (* 3/8 1) into 3/8 14.178 * [backup-simplify]: Simplify (+ 3/8 0) into 3/8 14.178 * [backup-simplify]: Simplify (- 3/8) into -3/8 14.178 * [backup-simplify]: Simplify (+ 0 -3/8) into -3/8 14.178 * [backup-simplify]: Simplify -3/8 into -3/8 14.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.180 * [backup-simplify]: Simplify (+ (* 3/8 0) (* 0 1)) into 0 14.180 * [backup-simplify]: Simplify (* 3/8 1) into 3/8 14.181 * [backup-simplify]: Simplify (+ 3/8 0) into 3/8 14.181 * [backup-simplify]: Simplify (+ 0 3/8) into 3/8 14.182 * [backup-simplify]: Simplify (- 3/8) into -3/8 14.182 * [backup-simplify]: Simplify (+ 0 -3/8) into -3/8 14.182 * [backup-simplify]: Simplify -3/8 into -3/8 14.182 * [backup-simplify]: Simplify (+ (* -3/8 (pow (/ 1 x) 2)) (+ (* -3/8 (/ 1 x)) 7/8)) into (- 7/8 (+ (* 3/8 (/ 1 x)) (* 3/8 (/ 1 (pow x 2))))) 14.184 * [backup-simplify]: Simplify (- (* 1 1) (* (* (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))))) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))))) into (- 7/8 (+ (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3))) (+ (* 3/8 (/ 1 (hypot 1 (/ -1 x)))) (* 3/8 (/ 1 (pow (hypot 1 (/ -1 x)) 2)))))) 14.184 * [approximate]: Taking taylor expansion of (- 7/8 (+ (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3))) (+ (* 3/8 (/ 1 (hypot 1 (/ -1 x)))) (* 3/8 (/ 1 (pow (hypot 1 (/ -1 x)) 2)))))) in (x) around 0 14.184 * [taylor]: Taking taylor expansion of (- 7/8 (+ (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3))) (+ (* 3/8 (/ 1 (hypot 1 (/ -1 x)))) (* 3/8 (/ 1 (pow (hypot 1 (/ -1 x)) 2)))))) in x 14.184 * [taylor]: Taking taylor expansion of 7/8 in x 14.184 * [backup-simplify]: Simplify 7/8 into 7/8 14.184 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3))) (+ (* 3/8 (/ 1 (hypot 1 (/ -1 x)))) (* 3/8 (/ 1 (pow (hypot 1 (/ -1 x)) 2))))) in x 14.184 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3))) in x 14.184 * [taylor]: Taking taylor expansion of 1/8 in x 14.184 * [backup-simplify]: Simplify 1/8 into 1/8 14.184 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ -1 x)) 3)) in x 14.184 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 3) in x 14.184 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 14.184 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 14.184 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 14.184 * [taylor]: Taking taylor expansion of (* 1 1) in x 14.184 * [taylor]: Taking taylor expansion of 1 in x 14.184 * [backup-simplify]: Simplify 1 into 1 14.184 * [taylor]: Taking taylor expansion of 1 in x 14.185 * [backup-simplify]: Simplify 1 into 1 14.185 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 14.185 * [taylor]: Taking taylor expansion of (/ -1 x) in x 14.185 * [taylor]: Taking taylor expansion of -1 in x 14.185 * [backup-simplify]: Simplify -1 into -1 14.185 * [taylor]: Taking taylor expansion of x in x 14.185 * [backup-simplify]: Simplify 0 into 0 14.185 * [backup-simplify]: Simplify 1 into 1 14.185 * [backup-simplify]: Simplify (/ -1 1) into -1 14.185 * [taylor]: Taking taylor expansion of (/ -1 x) in x 14.185 * [taylor]: Taking taylor expansion of -1 in x 14.185 * [backup-simplify]: Simplify -1 into -1 14.185 * [taylor]: Taking taylor expansion of x in x 14.185 * [backup-simplify]: Simplify 0 into 0 14.185 * [backup-simplify]: Simplify 1 into 1 14.186 * [backup-simplify]: Simplify (/ -1 1) into -1 14.186 * [backup-simplify]: Simplify (* -1 -1) into 1 14.187 * [backup-simplify]: Simplify (+ 0 1) into 1 14.187 * [backup-simplify]: Simplify (sqrt 1) into 1 14.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.189 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.190 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 14.190 * [backup-simplify]: Simplify (+ 0 0) into 0 14.191 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.191 * [backup-simplify]: Simplify (* 1 1) into 1 14.191 * [backup-simplify]: Simplify (* 1 1) into 1 14.192 * [backup-simplify]: Simplify (/ 1 1) into 1 14.192 * [taylor]: Taking taylor expansion of (+ (* 3/8 (/ 1 (hypot 1 (/ -1 x)))) (* 3/8 (/ 1 (pow (hypot 1 (/ -1 x)) 2)))) in x 14.192 * [taylor]: Taking taylor expansion of (* 3/8 (/ 1 (hypot 1 (/ -1 x)))) in x 14.192 * [taylor]: Taking taylor expansion of 3/8 in x 14.192 * [backup-simplify]: Simplify 3/8 into 3/8 14.192 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 14.192 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 14.192 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 14.192 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 14.192 * [taylor]: Taking taylor expansion of (* 1 1) in x 14.192 * [taylor]: Taking taylor expansion of 1 in x 14.192 * [backup-simplify]: Simplify 1 into 1 14.192 * [taylor]: Taking taylor expansion of 1 in x 14.192 * [backup-simplify]: Simplify 1 into 1 14.192 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 14.192 * [taylor]: Taking taylor expansion of (/ -1 x) in x 14.192 * [taylor]: Taking taylor expansion of -1 in x 14.192 * [backup-simplify]: Simplify -1 into -1 14.192 * [taylor]: Taking taylor expansion of x in x 14.192 * [backup-simplify]: Simplify 0 into 0 14.193 * [backup-simplify]: Simplify 1 into 1 14.193 * [backup-simplify]: Simplify (/ -1 1) into -1 14.193 * [taylor]: Taking taylor expansion of (/ -1 x) in x 14.193 * [taylor]: Taking taylor expansion of -1 in x 14.193 * [backup-simplify]: Simplify -1 into -1 14.193 * [taylor]: Taking taylor expansion of x in x 14.193 * [backup-simplify]: Simplify 0 into 0 14.193 * [backup-simplify]: Simplify 1 into 1 14.194 * [backup-simplify]: Simplify (/ -1 1) into -1 14.194 * [backup-simplify]: Simplify (* -1 -1) into 1 14.194 * [backup-simplify]: Simplify (+ 0 1) into 1 14.195 * [backup-simplify]: Simplify (sqrt 1) into 1 14.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.197 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 14.198 * [backup-simplify]: Simplify (+ 0 0) into 0 14.198 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.199 * [backup-simplify]: Simplify (/ 1 1) into 1 14.199 * [taylor]: Taking taylor expansion of (* 3/8 (/ 1 (pow (hypot 1 (/ -1 x)) 2))) in x 14.199 * [taylor]: Taking taylor expansion of 3/8 in x 14.199 * [backup-simplify]: Simplify 3/8 into 3/8 14.199 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ -1 x)) 2)) in x 14.199 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 2) in x 14.199 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 14.199 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 14.199 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 14.199 * [taylor]: Taking taylor expansion of (* 1 1) in x 14.199 * [taylor]: Taking taylor expansion of 1 in x 14.199 * [backup-simplify]: Simplify 1 into 1 14.199 * [taylor]: Taking taylor expansion of 1 in x 14.199 * [backup-simplify]: Simplify 1 into 1 14.199 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 14.199 * [taylor]: Taking taylor expansion of (/ -1 x) in x 14.199 * [taylor]: Taking taylor expansion of -1 in x 14.199 * [backup-simplify]: Simplify -1 into -1 14.199 * [taylor]: Taking taylor expansion of x in x 14.199 * [backup-simplify]: Simplify 0 into 0 14.199 * [backup-simplify]: Simplify 1 into 1 14.200 * [backup-simplify]: Simplify (/ -1 1) into -1 14.200 * [taylor]: Taking taylor expansion of (/ -1 x) in x 14.200 * [taylor]: Taking taylor expansion of -1 in x 14.200 * [backup-simplify]: Simplify -1 into -1 14.200 * [taylor]: Taking taylor expansion of x in x 14.200 * [backup-simplify]: Simplify 0 into 0 14.200 * [backup-simplify]: Simplify 1 into 1 14.200 * [backup-simplify]: Simplify (/ -1 1) into -1 14.201 * [backup-simplify]: Simplify (* -1 -1) into 1 14.201 * [backup-simplify]: Simplify (+ 0 1) into 1 14.202 * [backup-simplify]: Simplify (sqrt 1) into 1 14.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.204 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 14.205 * [backup-simplify]: Simplify (+ 0 0) into 0 14.205 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.206 * [backup-simplify]: Simplify (* 1 1) into 1 14.206 * [backup-simplify]: Simplify (/ 1 1) into 1 14.206 * [taylor]: Taking taylor expansion of (- 7/8 (+ (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3))) (+ (* 3/8 (/ 1 (hypot 1 (/ -1 x)))) (* 3/8 (/ 1 (pow (hypot 1 (/ -1 x)) 2)))))) in x 14.206 * [taylor]: Taking taylor expansion of 7/8 in x 14.206 * [backup-simplify]: Simplify 7/8 into 7/8 14.206 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3))) (+ (* 3/8 (/ 1 (hypot 1 (/ -1 x)))) (* 3/8 (/ 1 (pow (hypot 1 (/ -1 x)) 2))))) in x 14.206 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3))) in x 14.206 * [taylor]: Taking taylor expansion of 1/8 in x 14.206 * [backup-simplify]: Simplify 1/8 into 1/8 14.206 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ -1 x)) 3)) in x 14.206 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 3) in x 14.206 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 14.207 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 14.207 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 14.207 * [taylor]: Taking taylor expansion of (* 1 1) in x 14.207 * [taylor]: Taking taylor expansion of 1 in x 14.207 * [backup-simplify]: Simplify 1 into 1 14.207 * [taylor]: Taking taylor expansion of 1 in x 14.207 * [backup-simplify]: Simplify 1 into 1 14.207 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 14.207 * [taylor]: Taking taylor expansion of (/ -1 x) in x 14.207 * [taylor]: Taking taylor expansion of -1 in x 14.207 * [backup-simplify]: Simplify -1 into -1 14.207 * [taylor]: Taking taylor expansion of x in x 14.207 * [backup-simplify]: Simplify 0 into 0 14.207 * [backup-simplify]: Simplify 1 into 1 14.207 * [backup-simplify]: Simplify (/ -1 1) into -1 14.207 * [taylor]: Taking taylor expansion of (/ -1 x) in x 14.207 * [taylor]: Taking taylor expansion of -1 in x 14.207 * [backup-simplify]: Simplify -1 into -1 14.208 * [taylor]: Taking taylor expansion of x in x 14.208 * [backup-simplify]: Simplify 0 into 0 14.208 * [backup-simplify]: Simplify 1 into 1 14.208 * [backup-simplify]: Simplify (/ -1 1) into -1 14.209 * [backup-simplify]: Simplify (* -1 -1) into 1 14.209 * [backup-simplify]: Simplify (+ 0 1) into 1 14.210 * [backup-simplify]: Simplify (sqrt 1) into 1 14.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.212 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.212 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 14.213 * [backup-simplify]: Simplify (+ 0 0) into 0 14.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.214 * [backup-simplify]: Simplify (* 1 1) into 1 14.214 * [backup-simplify]: Simplify (* 1 1) into 1 14.215 * [backup-simplify]: Simplify (/ 1 1) into 1 14.215 * [taylor]: Taking taylor expansion of (+ (* 3/8 (/ 1 (hypot 1 (/ -1 x)))) (* 3/8 (/ 1 (pow (hypot 1 (/ -1 x)) 2)))) in x 14.215 * [taylor]: Taking taylor expansion of (* 3/8 (/ 1 (hypot 1 (/ -1 x)))) in x 14.215 * [taylor]: Taking taylor expansion of 3/8 in x 14.215 * [backup-simplify]: Simplify 3/8 into 3/8 14.215 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 14.215 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 14.215 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 14.215 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 14.215 * [taylor]: Taking taylor expansion of (* 1 1) in x 14.215 * [taylor]: Taking taylor expansion of 1 in x 14.215 * [backup-simplify]: Simplify 1 into 1 14.215 * [taylor]: Taking taylor expansion of 1 in x 14.215 * [backup-simplify]: Simplify 1 into 1 14.215 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 14.215 * [taylor]: Taking taylor expansion of (/ -1 x) in x 14.215 * [taylor]: Taking taylor expansion of -1 in x 14.215 * [backup-simplify]: Simplify -1 into -1 14.215 * [taylor]: Taking taylor expansion of x in x 14.215 * [backup-simplify]: Simplify 0 into 0 14.215 * [backup-simplify]: Simplify 1 into 1 14.216 * [backup-simplify]: Simplify (/ -1 1) into -1 14.216 * [taylor]: Taking taylor expansion of (/ -1 x) in x 14.216 * [taylor]: Taking taylor expansion of -1 in x 14.216 * [backup-simplify]: Simplify -1 into -1 14.216 * [taylor]: Taking taylor expansion of x in x 14.216 * [backup-simplify]: Simplify 0 into 0 14.216 * [backup-simplify]: Simplify 1 into 1 14.217 * [backup-simplify]: Simplify (/ -1 1) into -1 14.217 * [backup-simplify]: Simplify (* -1 -1) into 1 14.217 * [backup-simplify]: Simplify (+ 0 1) into 1 14.218 * [backup-simplify]: Simplify (sqrt 1) into 1 14.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.220 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 14.221 * [backup-simplify]: Simplify (+ 0 0) into 0 14.221 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.222 * [backup-simplify]: Simplify (/ 1 1) into 1 14.222 * [taylor]: Taking taylor expansion of (* 3/8 (/ 1 (pow (hypot 1 (/ -1 x)) 2))) in x 14.222 * [taylor]: Taking taylor expansion of 3/8 in x 14.222 * [backup-simplify]: Simplify 3/8 into 3/8 14.222 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ -1 x)) 2)) in x 14.222 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 2) in x 14.222 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 14.222 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 14.222 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 14.222 * [taylor]: Taking taylor expansion of (* 1 1) in x 14.222 * [taylor]: Taking taylor expansion of 1 in x 14.222 * [backup-simplify]: Simplify 1 into 1 14.222 * [taylor]: Taking taylor expansion of 1 in x 14.222 * [backup-simplify]: Simplify 1 into 1 14.222 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 14.222 * [taylor]: Taking taylor expansion of (/ -1 x) in x 14.222 * [taylor]: Taking taylor expansion of -1 in x 14.222 * [backup-simplify]: Simplify -1 into -1 14.222 * [taylor]: Taking taylor expansion of x in x 14.222 * [backup-simplify]: Simplify 0 into 0 14.222 * [backup-simplify]: Simplify 1 into 1 14.223 * [backup-simplify]: Simplify (/ -1 1) into -1 14.223 * [taylor]: Taking taylor expansion of (/ -1 x) in x 14.223 * [taylor]: Taking taylor expansion of -1 in x 14.223 * [backup-simplify]: Simplify -1 into -1 14.223 * [taylor]: Taking taylor expansion of x in x 14.223 * [backup-simplify]: Simplify 0 into 0 14.223 * [backup-simplify]: Simplify 1 into 1 14.223 * [backup-simplify]: Simplify (/ -1 1) into -1 14.224 * [backup-simplify]: Simplify (* -1 -1) into 1 14.224 * [backup-simplify]: Simplify (+ 0 1) into 1 14.225 * [backup-simplify]: Simplify (sqrt 1) into 1 14.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.227 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 14.227 * [backup-simplify]: Simplify (+ 0 0) into 0 14.228 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.229 * [backup-simplify]: Simplify (* 1 1) into 1 14.229 * [backup-simplify]: Simplify (/ 1 1) into 1 14.229 * [backup-simplify]: Simplify (+ 7/8 0) into 7/8 14.229 * [backup-simplify]: Simplify 7/8 into 7/8 14.230 * [backup-simplify]: Simplify (* 3/8 1) into 3/8 14.230 * [backup-simplify]: Simplify (+ 3/8 0) into 3/8 14.231 * [backup-simplify]: Simplify (+ 0 3/8) into 3/8 14.231 * [backup-simplify]: Simplify (- 3/8) into -3/8 14.232 * [backup-simplify]: Simplify (+ 0 -3/8) into -3/8 14.232 * [backup-simplify]: Simplify -3/8 into -3/8 14.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.233 * [backup-simplify]: Simplify (+ (* 3/8 0) (* 0 1)) into 0 14.234 * [backup-simplify]: Simplify (* 3/8 1) into 3/8 14.234 * [backup-simplify]: Simplify (+ 0 3/8) into 3/8 14.234 * [backup-simplify]: Simplify (+ 0 3/8) into 3/8 14.235 * [backup-simplify]: Simplify (- 3/8) into -3/8 14.235 * [backup-simplify]: Simplify (+ 0 -3/8) into -3/8 14.235 * [backup-simplify]: Simplify -3/8 into -3/8 14.236 * [backup-simplify]: Simplify (+ (* -3/8 (pow (/ 1 (- x)) 2)) (+ (* -3/8 (/ 1 (- x))) 7/8)) into (- (+ (* 3/8 (/ 1 x)) 7/8) (* 3/8 (/ 1 (pow x 2)))) 14.236 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 14.236 * [backup-simplify]: Simplify (* (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) into (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 2) 14.236 * [approximate]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 2) in (x) around 0 14.236 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 2) in x 14.236 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 14.236 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 14.236 * [taylor]: Taking taylor expansion of 1/2 in x 14.236 * [backup-simplify]: Simplify 1/2 into 1/2 14.236 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 14.236 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 14.236 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 14.236 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 14.237 * [taylor]: Taking taylor expansion of (* 1 1) in x 14.237 * [taylor]: Taking taylor expansion of 1 in x 14.237 * [backup-simplify]: Simplify 1 into 1 14.237 * [taylor]: Taking taylor expansion of 1 in x 14.237 * [backup-simplify]: Simplify 1 into 1 14.237 * [taylor]: Taking taylor expansion of (* x x) in x 14.237 * [taylor]: Taking taylor expansion of x in x 14.237 * [backup-simplify]: Simplify 0 into 0 14.237 * [backup-simplify]: Simplify 1 into 1 14.237 * [taylor]: Taking taylor expansion of x in x 14.237 * [backup-simplify]: Simplify 0 into 0 14.237 * [backup-simplify]: Simplify 1 into 1 14.237 * [backup-simplify]: Simplify (* 1 1) into 1 14.238 * [backup-simplify]: Simplify (* 0 0) into 0 14.238 * [backup-simplify]: Simplify (+ 1 0) into 1 14.239 * [backup-simplify]: Simplify (sqrt 1) into 1 14.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.240 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 14.240 * [backup-simplify]: Simplify (+ 0 0) into 0 14.241 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.241 * [backup-simplify]: Simplify (/ 1 1) into 1 14.242 * [taylor]: Taking taylor expansion of 1/2 in x 14.242 * [backup-simplify]: Simplify 1/2 into 1/2 14.242 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 14.242 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 14.242 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 2) in x 14.242 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 14.243 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 14.243 * [taylor]: Taking taylor expansion of 1/2 in x 14.243 * [backup-simplify]: Simplify 1/2 into 1/2 14.243 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 14.243 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 14.243 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 14.243 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 14.243 * [taylor]: Taking taylor expansion of (* 1 1) in x 14.243 * [taylor]: Taking taylor expansion of 1 in x 14.243 * [backup-simplify]: Simplify 1 into 1 14.243 * [taylor]: Taking taylor expansion of 1 in x 14.243 * [backup-simplify]: Simplify 1 into 1 14.243 * [taylor]: Taking taylor expansion of (* x x) in x 14.243 * [taylor]: Taking taylor expansion of x in x 14.243 * [backup-simplify]: Simplify 0 into 0 14.243 * [backup-simplify]: Simplify 1 into 1 14.243 * [taylor]: Taking taylor expansion of x in x 14.243 * [backup-simplify]: Simplify 0 into 0 14.243 * [backup-simplify]: Simplify 1 into 1 14.244 * [backup-simplify]: Simplify (* 1 1) into 1 14.244 * [backup-simplify]: Simplify (* 0 0) into 0 14.244 * [backup-simplify]: Simplify (+ 1 0) into 1 14.245 * [backup-simplify]: Simplify (sqrt 1) into 1 14.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.246 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 14.246 * [backup-simplify]: Simplify (+ 0 0) into 0 14.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.248 * [backup-simplify]: Simplify (/ 1 1) into 1 14.248 * [taylor]: Taking taylor expansion of 1/2 in x 14.248 * [backup-simplify]: Simplify 1/2 into 1/2 14.248 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 14.249 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 14.249 * [backup-simplify]: Simplify (* 1 1) into 1 14.249 * [backup-simplify]: Simplify 1 into 1 14.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.251 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 14.251 * [backup-simplify]: Simplify (+ 0 0) into 0 14.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.252 * [backup-simplify]: Simplify 0 into 0 14.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.253 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 14.254 * [backup-simplify]: Simplify (+ 0 1) into 1 14.255 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 14.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 14.257 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 14.258 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 14.259 * [backup-simplify]: Simplify (+ (* 1 -1/4) (+ (* 0 0) (* -1/4 1))) into -1/2 14.259 * [backup-simplify]: Simplify -1/2 into -1/2 14.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.261 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 14.262 * [backup-simplify]: Simplify (+ 0 0) into 0 14.263 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 14.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 14.266 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 14.267 * [backup-simplify]: Simplify (+ 0 0) into 0 14.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/4) (+ (* -1/4 0) (* 0 1)))) into 0 14.268 * [backup-simplify]: Simplify 0 into 0 14.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.271 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 14.271 * [backup-simplify]: Simplify (+ 0 0) into 0 14.273 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 14.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 14.277 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 14.278 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 14.280 * [backup-simplify]: Simplify (+ (* 1 3/16) (+ (* 0 0) (+ (* -1/4 -1/4) (+ (* 0 0) (* 3/16 1))))) into 7/16 14.280 * [backup-simplify]: Simplify 7/16 into 7/16 14.280 * [backup-simplify]: Simplify (+ (* 7/16 (pow x 4)) (+ (* -1/2 (pow x 2)) 1)) into (- (+ (* 7/16 (pow x 4)) 1) (* 1/2 (pow x 2))) 14.280 * [backup-simplify]: Simplify (* (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x)))))) into (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 2) 14.280 * [approximate]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 2) in (x) around 0 14.280 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 2) in x 14.281 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 14.281 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 14.281 * [taylor]: Taking taylor expansion of 1/2 in x 14.281 * [backup-simplify]: Simplify 1/2 into 1/2 14.281 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 14.281 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 14.281 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 14.281 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 14.281 * [taylor]: Taking taylor expansion of (* 1 1) in x 14.281 * [taylor]: Taking taylor expansion of 1 in x 14.281 * [backup-simplify]: Simplify 1 into 1 14.281 * [taylor]: Taking taylor expansion of 1 in x 14.281 * [backup-simplify]: Simplify 1 into 1 14.281 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 14.281 * [taylor]: Taking taylor expansion of (/ 1 x) in x 14.281 * [taylor]: Taking taylor expansion of x in x 14.281 * [backup-simplify]: Simplify 0 into 0 14.281 * [backup-simplify]: Simplify 1 into 1 14.281 * [backup-simplify]: Simplify (/ 1 1) into 1 14.281 * [taylor]: Taking taylor expansion of (/ 1 x) in x 14.282 * [taylor]: Taking taylor expansion of x in x 14.282 * [backup-simplify]: Simplify 0 into 0 14.282 * [backup-simplify]: Simplify 1 into 1 14.282 * [backup-simplify]: Simplify (/ 1 1) into 1 14.282 * [backup-simplify]: Simplify (* 1 1) into 1 14.283 * [backup-simplify]: Simplify (+ 0 1) into 1 14.283 * [backup-simplify]: Simplify (sqrt 1) into 1 14.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.285 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.285 * [backup-simplify]: Simplify (+ 0 0) into 0 14.285 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.286 * [backup-simplify]: Simplify (/ 1 1) into 1 14.286 * [taylor]: Taking taylor expansion of 1/2 in x 14.286 * [backup-simplify]: Simplify 1/2 into 1/2 14.286 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 14.286 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 2) in x 14.286 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 14.286 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 14.286 * [taylor]: Taking taylor expansion of 1/2 in x 14.286 * [backup-simplify]: Simplify 1/2 into 1/2 14.286 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 14.286 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 14.286 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 14.286 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 14.286 * [taylor]: Taking taylor expansion of (* 1 1) in x 14.286 * [taylor]: Taking taylor expansion of 1 in x 14.286 * [backup-simplify]: Simplify 1 into 1 14.286 * [taylor]: Taking taylor expansion of 1 in x 14.286 * [backup-simplify]: Simplify 1 into 1 14.286 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 14.286 * [taylor]: Taking taylor expansion of (/ 1 x) in x 14.286 * [taylor]: Taking taylor expansion of x in x 14.286 * [backup-simplify]: Simplify 0 into 0 14.286 * [backup-simplify]: Simplify 1 into 1 14.287 * [backup-simplify]: Simplify (/ 1 1) into 1 14.287 * [taylor]: Taking taylor expansion of (/ 1 x) in x 14.287 * [taylor]: Taking taylor expansion of x in x 14.287 * [backup-simplify]: Simplify 0 into 0 14.287 * [backup-simplify]: Simplify 1 into 1 14.287 * [backup-simplify]: Simplify (/ 1 1) into 1 14.287 * [backup-simplify]: Simplify (* 1 1) into 1 14.287 * [backup-simplify]: Simplify (+ 0 1) into 1 14.288 * [backup-simplify]: Simplify (sqrt 1) into 1 14.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.289 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.289 * [backup-simplify]: Simplify (+ 0 0) into 0 14.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.290 * [backup-simplify]: Simplify (/ 1 1) into 1 14.290 * [taylor]: Taking taylor expansion of 1/2 in x 14.290 * [backup-simplify]: Simplify 1/2 into 1/2 14.290 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 14.291 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 14.291 * [backup-simplify]: Simplify 1/4 into 1/4 14.291 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 14.291 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 14.292 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 14.292 * [backup-simplify]: Simplify 1/2 into 1/2 14.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.292 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 14.293 * [backup-simplify]: Simplify (+ 0 0) into 0 14.293 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 14.293 * [backup-simplify]: Simplify 1/4 into 1/4 14.293 * [backup-simplify]: Simplify (+ (* 1/4 (pow (/ 1 x) 2)) (+ (* 1/2 (/ 1 x)) 1/4)) into (+ (* 1/4 (/ 1 (pow x 2))) (+ (* 1/2 (/ 1 x)) 1/4)) 14.294 * [backup-simplify]: Simplify (* (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))))) into (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 2) 14.294 * [approximate]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 2) in (x) around 0 14.294 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 2) in x 14.294 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 14.294 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 14.294 * [taylor]: Taking taylor expansion of 1/2 in x 14.294 * [backup-simplify]: Simplify 1/2 into 1/2 14.294 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 14.294 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 14.294 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 14.294 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 14.294 * [taylor]: Taking taylor expansion of (* 1 1) in x 14.294 * [taylor]: Taking taylor expansion of 1 in x 14.294 * [backup-simplify]: Simplify 1 into 1 14.294 * [taylor]: Taking taylor expansion of 1 in x 14.294 * [backup-simplify]: Simplify 1 into 1 14.294 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 14.294 * [taylor]: Taking taylor expansion of (/ -1 x) in x 14.294 * [taylor]: Taking taylor expansion of -1 in x 14.294 * [backup-simplify]: Simplify -1 into -1 14.294 * [taylor]: Taking taylor expansion of x in x 14.294 * [backup-simplify]: Simplify 0 into 0 14.294 * [backup-simplify]: Simplify 1 into 1 14.294 * [backup-simplify]: Simplify (/ -1 1) into -1 14.294 * [taylor]: Taking taylor expansion of (/ -1 x) in x 14.294 * [taylor]: Taking taylor expansion of -1 in x 14.294 * [backup-simplify]: Simplify -1 into -1 14.294 * [taylor]: Taking taylor expansion of x in x 14.294 * [backup-simplify]: Simplify 0 into 0 14.294 * [backup-simplify]: Simplify 1 into 1 14.295 * [backup-simplify]: Simplify (/ -1 1) into -1 14.295 * [backup-simplify]: Simplify (* -1 -1) into 1 14.295 * [backup-simplify]: Simplify (+ 0 1) into 1 14.295 * [backup-simplify]: Simplify (sqrt 1) into 1 14.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.301 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.302 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 14.302 * [backup-simplify]: Simplify (+ 0 0) into 0 14.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.303 * [backup-simplify]: Simplify (/ 1 1) into 1 14.303 * [taylor]: Taking taylor expansion of 1/2 in x 14.303 * [backup-simplify]: Simplify 1/2 into 1/2 14.303 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 14.303 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 2) in x 14.303 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 14.303 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 14.303 * [taylor]: Taking taylor expansion of 1/2 in x 14.303 * [backup-simplify]: Simplify 1/2 into 1/2 14.303 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 14.303 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 14.304 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 14.304 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 14.304 * [taylor]: Taking taylor expansion of (* 1 1) in x 14.304 * [taylor]: Taking taylor expansion of 1 in x 14.304 * [backup-simplify]: Simplify 1 into 1 14.304 * [taylor]: Taking taylor expansion of 1 in x 14.304 * [backup-simplify]: Simplify 1 into 1 14.304 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 14.304 * [taylor]: Taking taylor expansion of (/ -1 x) in x 14.304 * [taylor]: Taking taylor expansion of -1 in x 14.304 * [backup-simplify]: Simplify -1 into -1 14.304 * [taylor]: Taking taylor expansion of x in x 14.304 * [backup-simplify]: Simplify 0 into 0 14.304 * [backup-simplify]: Simplify 1 into 1 14.304 * [backup-simplify]: Simplify (/ -1 1) into -1 14.304 * [taylor]: Taking taylor expansion of (/ -1 x) in x 14.304 * [taylor]: Taking taylor expansion of -1 in x 14.304 * [backup-simplify]: Simplify -1 into -1 14.304 * [taylor]: Taking taylor expansion of x in x 14.304 * [backup-simplify]: Simplify 0 into 0 14.304 * [backup-simplify]: Simplify 1 into 1 14.304 * [backup-simplify]: Simplify (/ -1 1) into -1 14.305 * [backup-simplify]: Simplify (* -1 -1) into 1 14.305 * [backup-simplify]: Simplify (+ 0 1) into 1 14.305 * [backup-simplify]: Simplify (sqrt 1) into 1 14.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.307 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 14.307 * [backup-simplify]: Simplify (+ 0 0) into 0 14.307 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.308 * [backup-simplify]: Simplify (/ 1 1) into 1 14.308 * [taylor]: Taking taylor expansion of 1/2 in x 14.308 * [backup-simplify]: Simplify 1/2 into 1/2 14.308 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 14.308 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 14.308 * [backup-simplify]: Simplify 1/4 into 1/4 14.309 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 14.309 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 14.309 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 14.309 * [backup-simplify]: Simplify 1/2 into 1/2 14.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.310 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 14.310 * [backup-simplify]: Simplify (+ 0 0) into 0 14.311 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 14.311 * [backup-simplify]: Simplify 1/4 into 1/4 14.311 * [backup-simplify]: Simplify (+ (* 1/4 (pow (/ 1 (- x)) 2)) (+ (* 1/2 (/ 1 (- x))) 1/4)) into (- (+ (* 1/4 (/ 1 (pow x 2))) 1/4) (* 1/2 (/ 1 x))) 14.311 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 2) 14.311 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 14.311 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 14.311 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 14.311 * [taylor]: Taking taylor expansion of 1/2 in x 14.311 * [backup-simplify]: Simplify 1/2 into 1/2 14.311 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 14.311 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 14.311 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 14.311 * [taylor]: Taking taylor expansion of (* 1 1) in x 14.311 * [taylor]: Taking taylor expansion of 1 in x 14.311 * [backup-simplify]: Simplify 1 into 1 14.311 * [taylor]: Taking taylor expansion of 1 in x 14.311 * [backup-simplify]: Simplify 1 into 1 14.311 * [taylor]: Taking taylor expansion of (* x x) in x 14.311 * [taylor]: Taking taylor expansion of x in x 14.311 * [backup-simplify]: Simplify 0 into 0 14.311 * [backup-simplify]: Simplify 1 into 1 14.311 * [taylor]: Taking taylor expansion of x in x 14.311 * [backup-simplify]: Simplify 0 into 0 14.311 * [backup-simplify]: Simplify 1 into 1 14.312 * [backup-simplify]: Simplify (* 1 1) into 1 14.312 * [backup-simplify]: Simplify (* 0 0) into 0 14.313 * [backup-simplify]: Simplify (+ 1 0) into 1 14.313 * [backup-simplify]: Simplify (sqrt 1) into 1 14.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.314 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 14.315 * [backup-simplify]: Simplify (+ 0 0) into 0 14.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.316 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.316 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 14.316 * [taylor]: Taking taylor expansion of 1/2 in x 14.316 * [backup-simplify]: Simplify 1/2 into 1/2 14.316 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 14.316 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 14.316 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 14.316 * [taylor]: Taking taylor expansion of (* 1 1) in x 14.316 * [taylor]: Taking taylor expansion of 1 in x 14.316 * [backup-simplify]: Simplify 1 into 1 14.316 * [taylor]: Taking taylor expansion of 1 in x 14.316 * [backup-simplify]: Simplify 1 into 1 14.316 * [taylor]: Taking taylor expansion of (* x x) in x 14.316 * [taylor]: Taking taylor expansion of x in x 14.316 * [backup-simplify]: Simplify 0 into 0 14.316 * [backup-simplify]: Simplify 1 into 1 14.316 * [taylor]: Taking taylor expansion of x in x 14.316 * [backup-simplify]: Simplify 0 into 0 14.316 * [backup-simplify]: Simplify 1 into 1 14.317 * [backup-simplify]: Simplify (* 1 1) into 1 14.317 * [backup-simplify]: Simplify (* 0 0) into 0 14.318 * [backup-simplify]: Simplify (+ 1 0) into 1 14.318 * [backup-simplify]: Simplify (sqrt 1) into 1 14.319 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.319 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 14.320 * [backup-simplify]: Simplify (+ 0 0) into 0 14.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.321 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.321 * [backup-simplify]: Simplify 1/2 into 1/2 14.322 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 14.322 * [backup-simplify]: Simplify 0 into 0 14.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.324 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 14.324 * [backup-simplify]: Simplify (+ 0 1) into 1 14.325 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 14.326 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 14.326 * [backup-simplify]: Simplify -1/4 into -1/4 14.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.328 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 14.329 * [backup-simplify]: Simplify (+ 0 0) into 0 14.330 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 14.332 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 14.332 * [backup-simplify]: Simplify 0 into 0 14.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.335 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 14.335 * [backup-simplify]: Simplify (+ 0 0) into 0 14.337 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 14.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 14.339 * [backup-simplify]: Simplify 3/16 into 3/16 14.339 * [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))) 14.339 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 14.339 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 14.339 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 14.339 * [taylor]: Taking taylor expansion of 1/2 in x 14.339 * [backup-simplify]: Simplify 1/2 into 1/2 14.339 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 14.339 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 14.339 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 14.339 * [taylor]: Taking taylor expansion of (* 1 1) in x 14.339 * [taylor]: Taking taylor expansion of 1 in x 14.339 * [backup-simplify]: Simplify 1 into 1 14.339 * [taylor]: Taking taylor expansion of 1 in x 14.339 * [backup-simplify]: Simplify 1 into 1 14.339 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 14.339 * [taylor]: Taking taylor expansion of (/ 1 x) in x 14.340 * [taylor]: Taking taylor expansion of x in x 14.340 * [backup-simplify]: Simplify 0 into 0 14.340 * [backup-simplify]: Simplify 1 into 1 14.340 * [backup-simplify]: Simplify (/ 1 1) into 1 14.340 * [taylor]: Taking taylor expansion of (/ 1 x) in x 14.340 * [taylor]: Taking taylor expansion of x in x 14.340 * [backup-simplify]: Simplify 0 into 0 14.340 * [backup-simplify]: Simplify 1 into 1 14.341 * [backup-simplify]: Simplify (/ 1 1) into 1 14.341 * [backup-simplify]: Simplify (* 1 1) into 1 14.341 * [backup-simplify]: Simplify (+ 0 1) into 1 14.342 * [backup-simplify]: Simplify (sqrt 1) into 1 14.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.344 * [backup-simplify]: Simplify (+ 0 0) into 0 14.345 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.346 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.346 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 14.346 * [taylor]: Taking taylor expansion of 1/2 in x 14.346 * [backup-simplify]: Simplify 1/2 into 1/2 14.346 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 14.346 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 14.346 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 14.346 * [taylor]: Taking taylor expansion of (* 1 1) in x 14.346 * [taylor]: Taking taylor expansion of 1 in x 14.346 * [backup-simplify]: Simplify 1 into 1 14.346 * [taylor]: Taking taylor expansion of 1 in x 14.346 * [backup-simplify]: Simplify 1 into 1 14.346 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 14.346 * [taylor]: Taking taylor expansion of (/ 1 x) in x 14.346 * [taylor]: Taking taylor expansion of x in x 14.346 * [backup-simplify]: Simplify 0 into 0 14.346 * [backup-simplify]: Simplify 1 into 1 14.347 * [backup-simplify]: Simplify (/ 1 1) into 1 14.347 * [taylor]: Taking taylor expansion of (/ 1 x) in x 14.347 * [taylor]: Taking taylor expansion of x in x 14.347 * [backup-simplify]: Simplify 0 into 0 14.347 * [backup-simplify]: Simplify 1 into 1 14.347 * [backup-simplify]: Simplify (/ 1 1) into 1 14.347 * [backup-simplify]: Simplify (* 1 1) into 1 14.348 * [backup-simplify]: Simplify (+ 0 1) into 1 14.348 * [backup-simplify]: Simplify (sqrt 1) into 1 14.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.351 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.351 * [backup-simplify]: Simplify (+ 0 0) into 0 14.352 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.352 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.352 * [backup-simplify]: Simplify 1/2 into 1/2 14.353 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 14.353 * [backup-simplify]: Simplify 0 into 0 14.354 * [backup-simplify]: Simplify (* 1 1) into 1 14.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.357 * [backup-simplify]: Simplify (+ 1 0) into 1 14.358 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 14.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 14.359 * [backup-simplify]: Simplify -1/4 into -1/4 14.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.364 * [backup-simplify]: Simplify (+ 0 0) into 0 14.365 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 14.366 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 14.366 * [backup-simplify]: Simplify 0 into 0 14.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.371 * [backup-simplify]: Simplify (+ 0 0) into 0 14.372 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 14.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 14.374 * [backup-simplify]: Simplify 3/16 into 3/16 14.375 * [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)))) 14.375 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 14.375 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 14.375 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 14.375 * [taylor]: Taking taylor expansion of 1/2 in x 14.375 * [backup-simplify]: Simplify 1/2 into 1/2 14.375 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 14.375 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 14.375 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 14.375 * [taylor]: Taking taylor expansion of (* 1 1) in x 14.375 * [taylor]: Taking taylor expansion of 1 in x 14.375 * [backup-simplify]: Simplify 1 into 1 14.375 * [taylor]: Taking taylor expansion of 1 in x 14.375 * [backup-simplify]: Simplify 1 into 1 14.375 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 14.375 * [taylor]: Taking taylor expansion of (/ -1 x) in x 14.375 * [taylor]: Taking taylor expansion of -1 in x 14.375 * [backup-simplify]: Simplify -1 into -1 14.375 * [taylor]: Taking taylor expansion of x in x 14.375 * [backup-simplify]: Simplify 0 into 0 14.375 * [backup-simplify]: Simplify 1 into 1 14.376 * [backup-simplify]: Simplify (/ -1 1) into -1 14.376 * [taylor]: Taking taylor expansion of (/ -1 x) in x 14.376 * [taylor]: Taking taylor expansion of -1 in x 14.376 * [backup-simplify]: Simplify -1 into -1 14.376 * [taylor]: Taking taylor expansion of x in x 14.376 * [backup-simplify]: Simplify 0 into 0 14.376 * [backup-simplify]: Simplify 1 into 1 14.376 * [backup-simplify]: Simplify (/ -1 1) into -1 14.377 * [backup-simplify]: Simplify (* -1 -1) into 1 14.377 * [backup-simplify]: Simplify (+ 0 1) into 1 14.378 * [backup-simplify]: Simplify (sqrt 1) into 1 14.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.380 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.380 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 14.381 * [backup-simplify]: Simplify (+ 0 0) into 0 14.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.382 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.382 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 14.382 * [taylor]: Taking taylor expansion of 1/2 in x 14.382 * [backup-simplify]: Simplify 1/2 into 1/2 14.382 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 14.382 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 14.382 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 14.382 * [taylor]: Taking taylor expansion of (* 1 1) in x 14.382 * [taylor]: Taking taylor expansion of 1 in x 14.382 * [backup-simplify]: Simplify 1 into 1 14.382 * [taylor]: Taking taylor expansion of 1 in x 14.382 * [backup-simplify]: Simplify 1 into 1 14.382 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 14.382 * [taylor]: Taking taylor expansion of (/ -1 x) in x 14.382 * [taylor]: Taking taylor expansion of -1 in x 14.383 * [backup-simplify]: Simplify -1 into -1 14.383 * [taylor]: Taking taylor expansion of x in x 14.383 * [backup-simplify]: Simplify 0 into 0 14.383 * [backup-simplify]: Simplify 1 into 1 14.383 * [backup-simplify]: Simplify (/ -1 1) into -1 14.383 * [taylor]: Taking taylor expansion of (/ -1 x) in x 14.383 * [taylor]: Taking taylor expansion of -1 in x 14.383 * [backup-simplify]: Simplify -1 into -1 14.383 * [taylor]: Taking taylor expansion of x in x 14.383 * [backup-simplify]: Simplify 0 into 0 14.383 * [backup-simplify]: Simplify 1 into 1 14.384 * [backup-simplify]: Simplify (/ -1 1) into -1 14.384 * [backup-simplify]: Simplify (* -1 -1) into 1 14.385 * [backup-simplify]: Simplify (+ 0 1) into 1 14.385 * [backup-simplify]: Simplify (sqrt 1) into 1 14.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.388 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 14.388 * [backup-simplify]: Simplify (+ 0 0) into 0 14.389 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.390 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.390 * [backup-simplify]: Simplify 1/2 into 1/2 14.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 14.391 * [backup-simplify]: Simplify 0 into 0 14.391 * [backup-simplify]: Simplify (* 1 1) into 1 14.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.394 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 14.395 * [backup-simplify]: Simplify (+ 1 0) into 1 14.396 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 14.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 14.397 * [backup-simplify]: Simplify -1/4 into -1/4 14.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.401 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 14.402 * [backup-simplify]: Simplify (+ 0 0) into 0 14.403 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 14.404 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 14.404 * [backup-simplify]: Simplify 0 into 0 14.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.407 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.408 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.410 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 14.410 * [backup-simplify]: Simplify (+ 0 0) into 0 14.412 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 14.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 14.413 * [backup-simplify]: Simplify 3/16 into 3/16 14.414 * [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)))) 14.414 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2) 14.414 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 14.414 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 14.414 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 14.414 * [taylor]: Taking taylor expansion of 1/2 in x 14.414 * [backup-simplify]: Simplify 1/2 into 1/2 14.414 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 14.414 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 14.414 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 14.414 * [taylor]: Taking taylor expansion of (* 1 1) in x 14.414 * [taylor]: Taking taylor expansion of 1 in x 14.414 * [backup-simplify]: Simplify 1 into 1 14.414 * [taylor]: Taking taylor expansion of 1 in x 14.414 * [backup-simplify]: Simplify 1 into 1 14.414 * [taylor]: Taking taylor expansion of (* x x) in x 14.415 * [taylor]: Taking taylor expansion of x in x 14.415 * [backup-simplify]: Simplify 0 into 0 14.415 * [backup-simplify]: Simplify 1 into 1 14.415 * [taylor]: Taking taylor expansion of x in x 14.415 * [backup-simplify]: Simplify 0 into 0 14.415 * [backup-simplify]: Simplify 1 into 1 14.415 * [backup-simplify]: Simplify (* 1 1) into 1 14.415 * [backup-simplify]: Simplify (* 0 0) into 0 14.416 * [backup-simplify]: Simplify (+ 1 0) into 1 14.416 * [backup-simplify]: Simplify (sqrt 1) into 1 14.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.417 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 14.418 * [backup-simplify]: Simplify (+ 0 0) into 0 14.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.419 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.419 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 14.419 * [taylor]: Taking taylor expansion of 1/2 in x 14.419 * [backup-simplify]: Simplify 1/2 into 1/2 14.419 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 14.419 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 14.419 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 14.419 * [taylor]: Taking taylor expansion of (* 1 1) in x 14.419 * [taylor]: Taking taylor expansion of 1 in x 14.419 * [backup-simplify]: Simplify 1 into 1 14.419 * [taylor]: Taking taylor expansion of 1 in x 14.419 * [backup-simplify]: Simplify 1 into 1 14.420 * [taylor]: Taking taylor expansion of (* x x) in x 14.420 * [taylor]: Taking taylor expansion of x in x 14.420 * [backup-simplify]: Simplify 0 into 0 14.420 * [backup-simplify]: Simplify 1 into 1 14.420 * [taylor]: Taking taylor expansion of x in x 14.420 * [backup-simplify]: Simplify 0 into 0 14.420 * [backup-simplify]: Simplify 1 into 1 14.420 * [backup-simplify]: Simplify (* 1 1) into 1 14.420 * [backup-simplify]: Simplify (* 0 0) into 0 14.421 * [backup-simplify]: Simplify (+ 1 0) into 1 14.421 * [backup-simplify]: Simplify (sqrt 1) into 1 14.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.423 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 14.423 * [backup-simplify]: Simplify (+ 0 0) into 0 14.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.424 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.424 * [backup-simplify]: Simplify 1/2 into 1/2 14.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 14.425 * [backup-simplify]: Simplify 0 into 0 14.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.427 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 14.427 * [backup-simplify]: Simplify (+ 0 1) into 1 14.428 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 14.430 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 14.430 * [backup-simplify]: Simplify -1/4 into -1/4 14.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.432 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 14.432 * [backup-simplify]: Simplify (+ 0 0) into 0 14.433 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 14.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 14.435 * [backup-simplify]: Simplify 0 into 0 14.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.437 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 14.438 * [backup-simplify]: Simplify (+ 0 0) into 0 14.440 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 14.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 14.441 * [backup-simplify]: Simplify 3/16 into 3/16 14.442 * [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))) 14.442 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 14.442 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 14.442 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 14.442 * [taylor]: Taking taylor expansion of 1/2 in x 14.442 * [backup-simplify]: Simplify 1/2 into 1/2 14.442 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 14.442 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 14.442 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 14.442 * [taylor]: Taking taylor expansion of (* 1 1) in x 14.442 * [taylor]: Taking taylor expansion of 1 in x 14.442 * [backup-simplify]: Simplify 1 into 1 14.442 * [taylor]: Taking taylor expansion of 1 in x 14.442 * [backup-simplify]: Simplify 1 into 1 14.442 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 14.442 * [taylor]: Taking taylor expansion of (/ 1 x) in x 14.442 * [taylor]: Taking taylor expansion of x in x 14.442 * [backup-simplify]: Simplify 0 into 0 14.442 * [backup-simplify]: Simplify 1 into 1 14.443 * [backup-simplify]: Simplify (/ 1 1) into 1 14.443 * [taylor]: Taking taylor expansion of (/ 1 x) in x 14.443 * [taylor]: Taking taylor expansion of x in x 14.443 * [backup-simplify]: Simplify 0 into 0 14.443 * [backup-simplify]: Simplify 1 into 1 14.443 * [backup-simplify]: Simplify (/ 1 1) into 1 14.444 * [backup-simplify]: Simplify (* 1 1) into 1 14.444 * [backup-simplify]: Simplify (+ 0 1) into 1 14.445 * [backup-simplify]: Simplify (sqrt 1) into 1 14.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.453 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.454 * [backup-simplify]: Simplify (+ 0 0) into 0 14.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.455 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.455 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 14.455 * [taylor]: Taking taylor expansion of 1/2 in x 14.455 * [backup-simplify]: Simplify 1/2 into 1/2 14.455 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 14.455 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 14.455 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 14.455 * [taylor]: Taking taylor expansion of (* 1 1) in x 14.455 * [taylor]: Taking taylor expansion of 1 in x 14.455 * [backup-simplify]: Simplify 1 into 1 14.455 * [taylor]: Taking taylor expansion of 1 in x 14.455 * [backup-simplify]: Simplify 1 into 1 14.455 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 14.456 * [taylor]: Taking taylor expansion of (/ 1 x) in x 14.456 * [taylor]: Taking taylor expansion of x in x 14.456 * [backup-simplify]: Simplify 0 into 0 14.456 * [backup-simplify]: Simplify 1 into 1 14.456 * [backup-simplify]: Simplify (/ 1 1) into 1 14.456 * [taylor]: Taking taylor expansion of (/ 1 x) in x 14.456 * [taylor]: Taking taylor expansion of x in x 14.456 * [backup-simplify]: Simplify 0 into 0 14.456 * [backup-simplify]: Simplify 1 into 1 14.457 * [backup-simplify]: Simplify (/ 1 1) into 1 14.457 * [backup-simplify]: Simplify (* 1 1) into 1 14.457 * [backup-simplify]: Simplify (+ 0 1) into 1 14.458 * [backup-simplify]: Simplify (sqrt 1) into 1 14.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.460 * [backup-simplify]: Simplify (+ 0 0) into 0 14.461 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.462 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.462 * [backup-simplify]: Simplify 1/2 into 1/2 14.463 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 14.463 * [backup-simplify]: Simplify 0 into 0 14.463 * [backup-simplify]: Simplify (* 1 1) into 1 14.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.466 * [backup-simplify]: Simplify (+ 1 0) into 1 14.467 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 14.469 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 14.469 * [backup-simplify]: Simplify -1/4 into -1/4 14.469 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.473 * [backup-simplify]: Simplify (+ 0 0) into 0 14.474 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 14.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 14.476 * [backup-simplify]: Simplify 0 into 0 14.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.480 * [backup-simplify]: Simplify (+ 0 0) into 0 14.482 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 14.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 14.483 * [backup-simplify]: Simplify 3/16 into 3/16 14.484 * [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)))) 14.484 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 14.484 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 14.484 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 14.484 * [taylor]: Taking taylor expansion of 1/2 in x 14.484 * [backup-simplify]: Simplify 1/2 into 1/2 14.484 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 14.484 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 14.484 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 14.484 * [taylor]: Taking taylor expansion of (* 1 1) in x 14.484 * [taylor]: Taking taylor expansion of 1 in x 14.484 * [backup-simplify]: Simplify 1 into 1 14.484 * [taylor]: Taking taylor expansion of 1 in x 14.484 * [backup-simplify]: Simplify 1 into 1 14.484 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 14.484 * [taylor]: Taking taylor expansion of (/ -1 x) in x 14.484 * [taylor]: Taking taylor expansion of -1 in x 14.485 * [backup-simplify]: Simplify -1 into -1 14.485 * [taylor]: Taking taylor expansion of x in x 14.485 * [backup-simplify]: Simplify 0 into 0 14.485 * [backup-simplify]: Simplify 1 into 1 14.485 * [backup-simplify]: Simplify (/ -1 1) into -1 14.485 * [taylor]: Taking taylor expansion of (/ -1 x) in x 14.485 * [taylor]: Taking taylor expansion of -1 in x 14.485 * [backup-simplify]: Simplify -1 into -1 14.485 * [taylor]: Taking taylor expansion of x in x 14.485 * [backup-simplify]: Simplify 0 into 0 14.485 * [backup-simplify]: Simplify 1 into 1 14.486 * [backup-simplify]: Simplify (/ -1 1) into -1 14.486 * [backup-simplify]: Simplify (* -1 -1) into 1 14.486 * [backup-simplify]: Simplify (+ 0 1) into 1 14.487 * [backup-simplify]: Simplify (sqrt 1) into 1 14.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.489 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 14.490 * [backup-simplify]: Simplify (+ 0 0) into 0 14.491 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.491 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.491 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 14.491 * [taylor]: Taking taylor expansion of 1/2 in x 14.491 * [backup-simplify]: Simplify 1/2 into 1/2 14.491 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 14.491 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 14.491 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 14.492 * [taylor]: Taking taylor expansion of (* 1 1) in x 14.492 * [taylor]: Taking taylor expansion of 1 in x 14.492 * [backup-simplify]: Simplify 1 into 1 14.492 * [taylor]: Taking taylor expansion of 1 in x 14.492 * [backup-simplify]: Simplify 1 into 1 14.492 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 14.492 * [taylor]: Taking taylor expansion of (/ -1 x) in x 14.492 * [taylor]: Taking taylor expansion of -1 in x 14.492 * [backup-simplify]: Simplify -1 into -1 14.492 * [taylor]: Taking taylor expansion of x in x 14.492 * [backup-simplify]: Simplify 0 into 0 14.492 * [backup-simplify]: Simplify 1 into 1 14.492 * [backup-simplify]: Simplify (/ -1 1) into -1 14.492 * [taylor]: Taking taylor expansion of (/ -1 x) in x 14.492 * [taylor]: Taking taylor expansion of -1 in x 14.492 * [backup-simplify]: Simplify -1 into -1 14.492 * [taylor]: Taking taylor expansion of x in x 14.492 * [backup-simplify]: Simplify 0 into 0 14.492 * [backup-simplify]: Simplify 1 into 1 14.493 * [backup-simplify]: Simplify (/ -1 1) into -1 14.493 * [backup-simplify]: Simplify (* -1 -1) into 1 14.494 * [backup-simplify]: Simplify (+ 0 1) into 1 14.494 * [backup-simplify]: Simplify (sqrt 1) into 1 14.495 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.496 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 14.497 * [backup-simplify]: Simplify (+ 0 0) into 0 14.498 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.498 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.498 * [backup-simplify]: Simplify 1/2 into 1/2 14.499 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 14.499 * [backup-simplify]: Simplify 0 into 0 14.499 * [backup-simplify]: Simplify (* 1 1) into 1 14.500 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.501 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.502 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 14.503 * [backup-simplify]: Simplify (+ 1 0) into 1 14.504 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 14.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 14.505 * [backup-simplify]: Simplify -1/4 into -1/4 14.506 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.507 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.509 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 14.509 * [backup-simplify]: Simplify (+ 0 0) into 0 14.510 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 14.512 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 14.512 * [backup-simplify]: Simplify 0 into 0 14.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.514 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.515 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.516 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 14.517 * [backup-simplify]: Simplify (+ 0 0) into 0 14.518 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 14.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 14.520 * [backup-simplify]: Simplify 3/16 into 3/16 14.520 * [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)))) 14.520 * * * [progress]: simplifying candidates 14.521 * * * * [progress]: [ 1 / 152 ] simplifiying candidate # 14.521 * * * * [progress]: [ 2 / 152 ] simplifiying candidate # 14.521 * * * * [progress]: [ 3 / 152 ] simplifiying candidate # 14.521 * * * * [progress]: [ 4 / 152 ] simplifiying candidate # 14.521 * * * * [progress]: [ 5 / 152 ] simplifiying candidate # 14.521 * * * * [progress]: [ 6 / 152 ] simplifiying candidate # 14.521 * * * * [progress]: [ 7 / 152 ] simplifiying candidate # 14.521 * * * * [progress]: [ 8 / 152 ] simplifiying candidate # 14.521 * * * * [progress]: [ 9 / 152 ] simplifiying candidate # 14.521 * * * * [progress]: [ 10 / 152 ] simplifiying candidate # 14.522 * * * * [progress]: [ 11 / 152 ] simplifiying candidate # 14.522 * * * * [progress]: [ 12 / 152 ] simplifiying candidate # 14.522 * * * * [progress]: [ 13 / 152 ] simplifiying candidate # 14.522 * * * * [progress]: [ 14 / 152 ] simplifiying candidate # 14.522 * * * * [progress]: [ 15 / 152 ] simplifiying candidate # 14.522 * * * * [progress]: [ 16 / 152 ] simplifiying candidate # 14.522 * * * * [progress]: [ 17 / 152 ] simplifiying candidate # 14.522 * * * * [progress]: [ 18 / 152 ] simplifiying candidate # 14.522 * * * * [progress]: [ 19 / 152 ] simplifiying candidate #real (real->posit16 (- (* 1 1) (* (* (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1/2 (/ 1/2 (hypot 1 x))))))) (+ 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ (+ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1)))> 14.522 * * * * [progress]: [ 20 / 152 ] simplifiying candidate # 14.523 * * * * [progress]: [ 21 / 152 ] simplifiying candidate # 14.523 * * * * [progress]: [ 22 / 152 ] simplifiying candidate # 14.523 * * * * [progress]: [ 23 / 152 ] simplifiying candidate # 14.523 * * * * [progress]: [ 24 / 152 ] simplifiying candidate # 14.523 * * * * [progress]: [ 25 / 152 ] simplifiying candidate # 14.523 * * * * [progress]: [ 26 / 152 ] simplifiying candidate # 14.523 * * * * [progress]: [ 27 / 152 ] simplifiying candidate # 14.523 * * * * [progress]: [ 28 / 152 ] simplifiying candidate # 14.523 * * * * [progress]: [ 29 / 152 ] simplifiying candidate # 14.523 * * * * [progress]: [ 30 / 152 ] simplifiying candidate # 14.523 * * * * [progress]: [ 31 / 152 ] simplifiying candidate # 14.524 * * * * [progress]: [ 32 / 152 ] simplifiying candidate # 14.524 * * * * [progress]: [ 33 / 152 ] simplifiying candidate # 14.524 * * * * [progress]: [ 34 / 152 ] simplifiying candidate # 14.524 * * * * [progress]: [ 35 / 152 ] simplifiying candidate # 14.524 * * * * [progress]: [ 36 / 152 ] simplifiying candidate # 14.524 * * * * [progress]: [ 37 / 152 ] simplifiying candidate # 14.524 * * * * [progress]: [ 38 / 152 ] simplifiying candidate # 14.524 * * * * [progress]: [ 39 / 152 ] simplifiying candidate # 14.524 * * * * [progress]: [ 40 / 152 ] simplifiying candidate # 14.524 * * * * [progress]: [ 41 / 152 ] simplifiying candidate # 14.524 * * * * [progress]: [ 42 / 152 ] simplifiying candidate # 14.525 * * * * [progress]: [ 43 / 152 ] simplifiying candidate # 14.525 * * * * [progress]: [ 44 / 152 ] simplifiying candidate # 14.525 * * * * [progress]: [ 45 / 152 ] simplifiying candidate # 14.525 * * * * [progress]: [ 46 / 152 ] simplifiying candidate # 14.525 * * * * [progress]: [ 47 / 152 ] simplifiying candidate # 14.525 * * * * [progress]: [ 48 / 152 ] simplifiying candidate # 14.525 * * * * [progress]: [ 49 / 152 ] simplifiying candidate # 14.525 * * * * [progress]: [ 50 / 152 ] simplifiying candidate # 14.526 * * * * [progress]: [ 51 / 152 ] simplifiying candidate # 14.526 * * * * [progress]: [ 52 / 152 ] simplifiying candidate # 14.526 * * * * [progress]: [ 53 / 152 ] simplifiying candidate # 14.526 * * * * [progress]: [ 54 / 152 ] simplifiying candidate # 14.526 * * * * [progress]: [ 55 / 152 ] simplifiying candidate # 14.526 * * * * [progress]: [ 56 / 152 ] simplifiying candidate # 14.526 * * * * [progress]: [ 57 / 152 ] simplifiying candidate # 14.526 * * * * [progress]: [ 58 / 152 ] simplifiying candidate # 14.527 * * * * [progress]: [ 59 / 152 ] simplifiying candidate # 14.527 * * * * [progress]: [ 60 / 152 ] simplifiying candidate # 14.527 * * * * [progress]: [ 61 / 152 ] simplifiying candidate # 14.527 * * * * [progress]: [ 62 / 152 ] simplifiying candidate # 14.527 * * * * [progress]: [ 63 / 152 ] simplifiying candidate # 14.527 * * * * [progress]: [ 64 / 152 ] simplifiying candidate # 14.527 * * * * [progress]: [ 65 / 152 ] simplifiying candidate # 14.527 * * * * [progress]: [ 66 / 152 ] simplifiying candidate # 14.527 * * * * [progress]: [ 67 / 152 ] simplifiying candidate # 14.527 * * * * [progress]: [ 68 / 152 ] simplifiying candidate # 14.528 * * * * [progress]: [ 69 / 152 ] simplifiying candidate # 14.528 * * * * [progress]: [ 70 / 152 ] simplifiying candidate # 14.528 * * * * [progress]: [ 71 / 152 ] simplifiying candidate # 14.528 * * * * [progress]: [ 72 / 152 ] simplifiying candidate # 14.528 * * * * [progress]: [ 73 / 152 ] simplifiying candidate # 14.528 * * * * [progress]: [ 74 / 152 ] simplifiying candidate # 14.528 * * * * [progress]: [ 75 / 152 ] simplifiying candidate # 14.529 * * * * [progress]: [ 76 / 152 ] simplifiying candidate # 14.529 * * * * [progress]: [ 77 / 152 ] simplifiying candidate # 14.529 * * * * [progress]: [ 78 / 152 ] simplifiying candidate # 14.529 * * * * [progress]: [ 79 / 152 ] simplifiying candidate #real (real->posit16 (* (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ (+ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1)))> 14.529 * * * * [progress]: [ 80 / 152 ] simplifiying candidate # 14.529 * * * * [progress]: [ 81 / 152 ] simplifiying candidate # 14.529 * * * * [progress]: [ 82 / 152 ] simplifiying candidate # 14.529 * * * * [progress]: [ 83 / 152 ] simplifiying candidate # 14.529 * * * * [progress]: [ 84 / 152 ] simplifiying candidate # 14.529 * * * * [progress]: [ 85 / 152 ] simplifiying candidate # 14.529 * * * * [progress]: [ 86 / 152 ] simplifiying candidate # 14.530 * * * * [progress]: [ 87 / 152 ] simplifiying candidate # 14.530 * * * * [progress]: [ 88 / 152 ] simplifiying candidate # 14.530 * * * * [progress]: [ 89 / 152 ] simplifiying candidate # 14.530 * * * * [progress]: [ 90 / 152 ] simplifiying candidate # 14.530 * * * * [progress]: [ 91 / 152 ] simplifiying candidate # 14.530 * * * * [progress]: [ 92 / 152 ] simplifiying candidate # 14.530 * * * * [progress]: [ 93 / 152 ] simplifiying candidate # 14.530 * * * * [progress]: [ 94 / 152 ] simplifiying candidate # 14.530 * * * * [progress]: [ 95 / 152 ] simplifiying candidate # 14.530 * * * * [progress]: [ 96 / 152 ] simplifiying candidate # 14.530 * * * * [progress]: [ 97 / 152 ] simplifiying candidate # 14.531 * * * * [progress]: [ 98 / 152 ] simplifiying candidate # 14.531 * * * * [progress]: [ 99 / 152 ] simplifiying candidate # 14.531 * * * * [progress]: [ 100 / 152 ] simplifiying candidate # 14.531 * * * * [progress]: [ 101 / 152 ] simplifiying candidate # 14.531 * * * * [progress]: [ 102 / 152 ] simplifiying candidate # 14.531 * * * * [progress]: [ 103 / 152 ] simplifiying candidate # 14.531 * * * * [progress]: [ 104 / 152 ] simplifiying candidate # 14.531 * * * * [progress]: [ 105 / 152 ] simplifiying candidate # 14.531 * * * * [progress]: [ 106 / 152 ] simplifiying candidate # 14.531 * * * * [progress]: [ 107 / 152 ] simplifiying candidate # 14.531 * * * * [progress]: [ 108 / 152 ] simplifiying candidate # 14.532 * * * * [progress]: [ 109 / 152 ] simplifiying candidate # 14.532 * * * * [progress]: [ 110 / 152 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x))))))) 1)))> 14.532 * * * * [progress]: [ 111 / 152 ] simplifiying candidate # 14.532 * * * * [progress]: [ 112 / 152 ] simplifiying candidate # 14.532 * * * * [progress]: [ 113 / 152 ] simplifiying candidate # 14.532 * * * * [progress]: [ 114 / 152 ] simplifiying candidate # 14.532 * * * * [progress]: [ 115 / 152 ] simplifiying candidate # 14.532 * * * * [progress]: [ 116 / 152 ] simplifiying candidate # 14.532 * * * * [progress]: [ 117 / 152 ] simplifiying candidate # 14.532 * * * * [progress]: [ 118 / 152 ] simplifiying candidate # 14.532 * * * * [progress]: [ 119 / 152 ] simplifiying candidate # 14.532 * * * * [progress]: [ 120 / 152 ] simplifiying candidate # 14.533 * * * * [progress]: [ 121 / 152 ] simplifiying candidate # 14.533 * * * * [progress]: [ 122 / 152 ] simplifiying candidate # 14.533 * * * * [progress]: [ 123 / 152 ] simplifiying candidate # 14.533 * * * * [progress]: [ 124 / 152 ] simplifiying candidate # 14.533 * * * * [progress]: [ 125 / 152 ] simplifiying candidate # 14.533 * * * * [progress]: [ 126 / 152 ] simplifiying candidate # 14.533 * * * * [progress]: [ 127 / 152 ] simplifiying candidate # 14.533 * * * * [progress]: [ 128 / 152 ] simplifiying candidate # 14.533 * * * * [progress]: [ 129 / 152 ] simplifiying candidate # 14.533 * * * * [progress]: [ 130 / 152 ] simplifiying candidate # 14.533 * * * * [progress]: [ 131 / 152 ] simplifiying candidate # 14.534 * * * * [progress]: [ 132 / 152 ] simplifiying candidate # 14.534 * * * * [progress]: [ 133 / 152 ] simplifiying candidate # 14.534 * * * * [progress]: [ 134 / 152 ] simplifiying candidate # 14.534 * * * * [progress]: [ 135 / 152 ] simplifiying candidate # 14.534 * * * * [progress]: [ 136 / 152 ] simplifiying candidate # 14.534 * * * * [progress]: [ 137 / 152 ] simplifiying candidate # 14.534 * * * * [progress]: [ 138 / 152 ] simplifiying candidate # 14.534 * * * * [progress]: [ 139 / 152 ] simplifiying candidate # 14.534 * * * * [progress]: [ 140 / 152 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x))))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1)))> 14.534 * * * * [progress]: [ 141 / 152 ] simplifiying candidate # 14.534 * * * * [progress]: [ 142 / 152 ] simplifiying candidate # 14.535 * * * * [progress]: [ 143 / 152 ] simplifiying candidate # 14.535 * * * * [progress]: [ 144 / 152 ] simplifiying candidate # 14.535 * * * * [progress]: [ 145 / 152 ] simplifiying candidate # 14.535 * * * * [progress]: [ 146 / 152 ] simplifiying candidate # 14.535 * * * * [progress]: [ 147 / 152 ] simplifiying candidate # 14.535 * * * * [progress]: [ 148 / 152 ] simplifiying candidate # 14.535 * * * * [progress]: [ 149 / 152 ] simplifiying candidate # 14.535 * * * * [progress]: [ 150 / 152 ] simplifiying candidate # 14.535 * * * * [progress]: [ 151 / 152 ] simplifiying candidate # 14.535 * * * * [progress]: [ 152 / 152 ] simplifiying candidate # 14.539 * [simplify]: Simplifying: (fma 1 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)))))))) (fma (- (+ 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))))) (* (+ 1/2 (/ 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))))))) (expm1 (- (* 1 1) (* (* (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (log1p (- (* 1 1) (* (* (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 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)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (/ (exp (* 1 1)) (exp (* (* (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (log (- (* 1 1) (* (* (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (exp (- (* 1 1) (* (* (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (- (* 1 1) (* (* (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 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(/ 1 x)) 7/8) (* 3/8 (/ 1 (pow x 2)))) (- (+ (* 7/16 (pow x 4)) 1) (* 1/2 (pow x 2))) (+ (* 1/4 (/ 1 (pow x 2))) (+ (* 1/2 (/ 1 x)) 1/4)) (- (+ (* 1/4 (/ 1 (pow x 2))) 1/4) (* 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)))) (- (+ (* 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)))) 14.546 * * [simplify]: iteration 1: (256 enodes) 14.679 * * [simplify]: iteration 2: (700 enodes) 15.532 * * [simplify]: Extracting #0: cost 105 inf + 0 15.535 * * [simplify]: Extracting #1: cost 509 inf + 5 15.540 * * [simplify]: Extracting #2: cost 760 inf + 207 15.546 * * [simplify]: Extracting #3: cost 751 inf + 4582 15.561 * * [simplify]: Extracting #4: cost 584 inf + 38756 15.608 * * [simplify]: Extracting #5: 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(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) (/ (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))) (fma (* x x) 3/4 (fma (* (* (* x x) (* x x)) (* x x)) 49/64 (* -3/4 (* (* x x) (* x x))))) (- (- 7/8 (/ 3/8 (* x x))) (/ 3/8 x)) (- (+ (/ 3/8 x) 7/8) (/ 3/8 (* x x))) (fma (* (* x x) (* x x)) 7/16 (+ 1 (* (* x x) -1/2))) (+ (/ 1/4 (* x x)) (+ (/ 1/2 x) 1/4)) (+ (+ 1/4 (/ -1/2 x)) (/ 1/4 (* x x))) (+ (fma 3/16 (* (* x x) (* x x)) 1/2) (* (* x x) -1/4)) (+ (- (/ 1/2 x) (/ 1/4 (* x (* x x)))) (/ 3/16 (pow x 5))) (- (/ 1/4 (* x (* x x))) (+ (/ 1/2 x) (/ 3/16 (pow x 5)))) (+ (fma 3/16 (* (* x x) (* x x)) 1/2) (* (* x x) -1/4)) (+ (- (/ 1/2 x) (/ 1/4 (* x (* x x)))) (/ 3/16 (pow x 5))) (- (/ 1/4 (* x (* x x))) (+ (/ 1/2 x) (/ 3/16 (pow x 5)))) 15.938 * * * [progress]: adding candidates to table 18.064 * [progress]: [Phase 3 of 3] Extracting. 18.064 * * [regime]: Finding splitpoints for: (# # # # # # #) 18.068 * * * [regime-changes]: Trying 2 branch expressions: ((hypot 1 x) x) 18.068 * * * * [regimes]: Trying to branch on (hypot 1 x) from (# # # # # # #) 18.122 * * * * [regimes]: Trying to branch on (hypot 1 x) from (# # # # #) 18.185 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 18.282 * * * [regime]: Found split indices: #